%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL794-1 : 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 : 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 11:23:52 AM UTC 2026 % Result : Unsatisfiable 6.13s 6.40s % Output : Proof 6.13s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : LCL794-1 : 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 % 0.10/0.36 % Computer : n005.cluster.edu % 0.10/0.36 % Model : x86_64 x86_64 % 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.36 % Memory : 8046.5625MB % 0.10/0.36 % OS : Linux 6.8.0-71-generic % 0.10/0.36 % CPULimit : 300 % 0.10/0.36 % WCLimit : 300 % 0.10/0.36 % DateTime : Sat Sep 5 10:02:35 UTC 2026 % 0.10/0.36 % CPUTime : % 0.22/0.54 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 6.13/6.40 % SZS status Unsatisfiable % 6.13/6.40 % SZS output start Proof % 6.13/6.44 ( % 6.13/6.44 (declare-sort $$unsorted 0) % 6.13/6.44 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 6.13/6.44 (declare-const tptp.c_Type_Osko__Type__Xtyping__elims__2__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.13/6.44 (declare-const tptp.v_a____ $$unsorted) % 6.13/6.44 (declare-const tptp.v_T_H_H____ $$unsorted) % 6.13/6.44 (declare-const tptp.v_u____ $$unsorted) % 6.13/6.44 (declare-const tptp.c_Type_Oshift (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.13/6.44 (declare-const tptp.v_e____ $$unsorted) % 6.13/6.44 (declare-const tptp.v_T____ $$unsorted) % 6.13/6.44 (declare-const tptp.c_Type_Osko__Type__Xvar__app__types__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.13/6.44 (declare-const tptp.c_Type_Osko__Type__Xvar__app__typesE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.13/6.44 (declare-const tptp.class_Ring__and__Field_Osemiring__1 (-> $$unsorted Bool)) % 6.13/6.44 (declare-const tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 6.13/6.44 (declare-const tptp.c_Type_Otype_Otype__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.13/6.44 (declare-const tptp.class_Ring__and__Field_Oring__1__no__zero__divisors (-> $$unsorted Bool)) % 6.13/6.44 (declare-const tptp.class_Ring__and__Field_Ozero__neq__one (-> $$unsorted Bool)) % 6.13/6.44 (declare-const tptp.class_Ring__and__Field_Ono__zero__divisors (-> $$unsorted Bool)) % 6.13/6.44 (declare-const tptp.class_Ring__and__Field_Omult__zero (-> $$unsorted Bool)) % 6.13/6.44 (declare-const tptp.c_Type_Otype_OFun $$unsorted) % 6.13/6.44 (declare-const tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 6.13/6.44 (declare-const tptp.c_Type_Osko__Type__Xlist__app__typeD__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.13/6.44 (declare-const tptp.c_Groebner__Basis_Ogb__semiring (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 6.13/6.44 (declare-const tptp.c_Lambda_Osubst (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.13/6.44 (declare-const tptp.c_HOL_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 6.13/6.44 (declare-const tptp.c_HOL_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.13/6.44 (declare-const tptp.t_a $$unsorted) % 6.13/6.44 (declare-const tptp.v_rs____ $$unsorted) % 6.13/6.44 (declare-const tptp.c_Nat_Osize__class_Osize (-> $$unsorted $$unsorted $$unsorted)) % 6.13/6.44 (declare-const tptp.c_List_Ofoldl (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.13/6.44 (declare-const tptp.class_OrderedGroup_Opordered__comm__monoid__add (-> $$unsorted Bool)) % 6.13/6.44 (declare-const tptp.c_Type_Osko__Type__Xtyping__elims__3__2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.13/6.44 (declare-const tptp.v_n____ $$unsorted) % 6.13/6.44 (declare-const tptp.c_Suc (-> $$unsorted $$unsorted)) % 6.13/6.44 (declare-const tptp.c_Type_Osko__Type__Xabs__typeE__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 6.13/6.44 (declare-const tptp.c_List_Oappend (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.13/6.44 (declare-const tptp.c_List_Olistsum (-> $$unsorted $$unsorted $$unsorted)) % 6.13/6.44 (declare-const tptp.c_Type_Otyping (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.13/6.44 (declare-const tptp.c_HOL_Oplus__class_Oplus (-> $$unsorted $$unsorted)) % 6.13/6.44 (declare-const tptp.class_OrderedGroup_Osemigroup__add (-> $$unsorted Bool)) % 6.13/6.44 (declare-const tptp.v_T_H____ $$unsorted) % 6.13/6.44 (declare-const tptp.c_List_Olist_ONil (-> $$unsorted $$unsorted)) % 6.13/6.44 (declare-const tptp.c_InductTermi_OIT (-> $$unsorted Bool)) % 6.13/6.44 (declare-const tptp.v_Ts____ $$unsorted) % 6.13/6.44 (declare-const tptp.c_Orderings_Oord__class_Omax (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.13/6.44 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 6.13/6.44 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.13/6.44 (declare-const tptp.class_Ring__and__Field_Ocomm__semiring__1 (-> $$unsorted Bool)) % 6.13/6.44 (declare-const tptp.tc_nat $$unsorted) % 6.13/6.44 (declare-const tptp.c_Lambda_OdB_OVar (-> $$unsorted $$unsorted)) % 6.13/6.44 (declare-const tptp.tc_Type_Otype $$unsorted) % 6.13/6.44 (declare-const tptp.class_OrderedGroup_Ocancel__semigroup__add (-> $$unsorted Bool)) % 6.13/6.44 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 6.13/6.44 (declare-const tptp.c_Lambda_Osubstn (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.13/6.44 (declare-const tptp.c_Type_Osko__Type__Xlist__app__typeE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.13/6.44 (declare-const tptp.tc_Lambda_OdB $$unsorted) % 6.13/6.44 (declare-const tptp.class_OrderedGroup_Oab__semigroup__add (-> $$unsorted Bool)) % 6.13/6.44 (declare-const tptp.class_Nat_Osemiring__char__0 (-> $$unsorted Bool)) % 6.13/6.44 (declare-const tptp.c_Lambda_OdB_OAbs (-> $$unsorted $$unsorted)) % 6.13/6.44 (declare-const tptp.c_Lambda_OdB_OdB__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.13/6.44 (declare-const tptp.c_Nat_Osemiring__1__class_Oof__nat (-> $$unsorted $$unsorted $$unsorted)) % 6.13/6.44 (declare-const tptp.c_Lambda_OdB_OApp $$unsorted) % 6.13/6.44 (declare-const tptp.c_Type_Osko__Type__Xabs__typeE__1__2 (-> $$unsorted $$unsorted $$unsorted)) % 6.13/6.44 (declare-const tptp.c_List_Olist_OCons (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.13/6.44 (declare-const tptp.c_List_Oreplicate (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.13/6.44 (declare-const tptp.class_OrderedGroup_Omonoid__add (-> $$unsorted Bool)) % 6.13/6.44 (declare-const tptp.c_Type_Otypings (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.13/6.44 (declare-const tptp.v_as____ $$unsorted) % 6.13/6.44 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 6.13/6.44 (declare-const tptp.class_OrderedGroup_Oab__group__add (-> $$unsorted Bool)) % 6.13/6.44 (declare-const tptp.c_Type_Osko__Type__Xtype__induct__1__1 (-> $$unsorted $$unsorted)) % 6.13/6.44 (declare-const tptp.class_Int_Onumber__ring (-> $$unsorted Bool)) % 6.13/6.44 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 6.13/6.44 (declare-const tptp.class_Ring__and__Field_Oordered__semidom (-> $$unsorted Bool)) % 6.13/6.44 (declare-const tptp.c_Lambda_Obeta (-> $$unsorted $$unsorted Bool)) % 6.13/6.44 (declare-const tptp.class_Ring__and__Field_Oordered__idom (-> $$unsorted Bool)) % 6.13/6.44 (declare-const tptp.c_Lambda_Oliftn (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.13/6.44 (declare-const tptp.c_Lambda_OdB_OdB__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.13/6.44 (declare-const tptp.class_OrderedGroup_Ocomm__monoid__add (-> $$unsorted Bool)) % 6.13/6.44 (declare-const tptp.c_Power_Opower__class_Opower (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.13/6.44 (declare-const tptp.class_Power_Opower (-> $$unsorted Bool)) % 6.13/6.44 (declare-const tptp.c_Lambda_OdB_OdB__size (-> $$unsorted $$unsorted)) % 6.13/6.44 (declare-const tptp.class_OrderedGroup_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 6.13/6.44 (declare-const tptp.c_List_Ofoldr (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.13/6.44 (declare-const tptp.class_Ring__and__Field_Osemiring__0 (-> $$unsorted Bool)) % 6.13/6.44 (declare-const tptp.c_Type_Otype_OAtom (-> $$unsorted $$unsorted)) % 6.13/6.44 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 6.13/6.44 (declare-const tptp.class_Ring__and__Field_Oidom (-> $$unsorted Bool)) % 6.13/6.44 (declare-const tptp.c_Lambda_Olift (-> $$unsorted $$unsorted $$unsorted)) % 6.13/6.44 (declare-const tptp.c_Type_Osko__Type__Xtyping__elims__3__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.13/6.44 (declare-const tptp.v_i____ $$unsorted) % 6.13/6.44 (declare-const tptp.class_OrderedGroup_Olordered__ab__group__add (-> $$unsorted Bool)) % 6.13/6.44 (declare-const tptp.c_Type_Otype_Otype__case (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.13/6.44 (define @t1 () (@var "V_n" $$unsorted)) % 6.13/6.44 (define @t2 () (@var "V_m" $$unsorted)) % 6.13/6.44 (define @t3 () (= @t2 @t1)) % 6.13/6.44 (define @t4 () (@var "V_k" $$unsorted)) % 6.13/6.44 (define @t5 () (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat)) % 6.13/6.44 (define @t6 () (tptp.hAPP @t5 @t4)) % 6.13/6.44 (define @t7 () (tptp.hAPP @t6 @t1)) % 6.13/6.44 (define @t8 () (tptp.hAPP @t6 @t2)) % 6.13/6.44 (define @t9 () (@list @t4 @t2 @t1)) % 6.13/6.44 (define @t10 () (@var "V_z" $$unsorted)) % 6.13/6.44 (define @t11 () (@var "V_y" $$unsorted)) % 6.13/6.44 (define @t12 () (= @t11 @t10)) % 6.13/6.44 (define @t13 () (@var "V_x" $$unsorted)) % 6.13/6.44 (define @t14 () (@var "T_a" $$unsorted)) % 6.13/6.44 (define @t15 () (tptp.c_HOL_Oplus__class_Oplus @t14)) % 6.13/6.44 (define @t16 () (tptp.hAPP @t15 @t13)) % 6.13/6.44 (define @t17 () (tptp.hAPP @t16 @t10)) % 6.13/6.44 (define @t18 () (tptp.hAPP @t16 @t11)) % 6.13/6.44 (define @t19 () (not (tptp.class_Int_Onumber__ring @t14))) % 6.13/6.44 (define @t20 () (not (tptp.class_Ring__and__Field_Oidom @t14))) % 6.13/6.44 (define @t21 () (@list @t14 @t13 @t11 @t10)) % 6.13/6.44 (define @t22 () (@var "V_c" $$unsorted)) % 6.13/6.44 (define @t23 () (@var "V_b" $$unsorted)) % 6.13/6.44 (define @t24 () (= @t23 @t22)) % 6.13/6.44 (define @t25 () (@var "V_a" $$unsorted)) % 6.13/6.44 (define @t26 () (tptp.hAPP @t15 @t25)) % 6.13/6.44 (define @t27 () (tptp.hAPP @t26 @t22)) % 6.13/6.44 (define @t28 () (tptp.hAPP @t26 @t23)) % 6.13/6.44 (define @t29 () (not (= @t28 @t27))) % 6.13/6.44 (define @t30 () (@list @t14 @t25 @t23 @t22)) % 6.13/6.44 (define @t31 () (not (tptp.class_OrderedGroup_Ocancel__semigroup__add @t14))) % 6.13/6.44 (define @t32 () (tptp.hAPP @t15 @t22)) % 6.13/6.44 (define @t33 () (tptp.hAPP @t32 @t25)) % 6.13/6.44 (define @t34 () (tptp.hAPP @t15 @t23)) % 6.13/6.44 (define @t35 () (tptp.hAPP @t34 @t25)) % 6.13/6.44 (define @t36 () (@list @t14 @t23 @t25 @t22)) % 6.13/6.44 (define @t37 () (@var "V_zs" $$unsorted)) % 6.13/6.44 (define @t38 () (@var "V_xa" $$unsorted)) % 6.13/6.44 (define @t39 () (tptp.c_List_Olist_OCons @t13 @t38 @t14)) % 6.13/6.44 (define @t40 () (tptp.c_List_Oappend @t39 @t37 @t14)) % 6.13/6.44 (define @t41 () (tptp.c_List_Olist_OCons @t13 (tptp.c_List_Oappend @t38 @t37 @t14) @t14)) % 6.13/6.44 (define @t42 () (@var "V_xs1" $$unsorted)) % 6.13/6.44 (define @t43 () (tptp.c_List_Olist_ONil tptp.tc_Lambda_OdB)) % 6.13/6.44 (define @t44 () (@var "V_ss" $$unsorted)) % 6.13/6.44 (define @t45 () (= @t44 @t43)) % 6.13/6.44 (define @t46 () (@var "V_r" $$unsorted)) % 6.13/6.44 (define @t47 () (tptp.c_Lambda_OdB_OAbs @t46)) % 6.13/6.44 (define @t48 () (@var "V_s" $$unsorted)) % 6.13/6.44 (define @t49 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t48 @t44 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 6.13/6.44 (define @t50 () (not (= @t49 @t47))) % 6.13/6.44 (define @t51 () (@list @t48 @t44 @t46)) % 6.13/6.44 (define @t52 () (tptp.c_List_Olist_ONil @t14)) % 6.13/6.44 (define @t53 () (tptp.hAPP @t5 @t1)) % 6.13/6.44 (define @t54 () (tptp.hAPP @t53 @t4)) % 6.13/6.44 (define @t55 () (tptp.hAPP @t5 @t2)) % 6.13/6.44 (define @t56 () (tptp.hAPP @t5 @t13)) % 6.13/6.44 (define @t57 () (tptp.hAPP @t56 @t10)) % 6.13/6.44 (define @t58 () (@list @t13 @t11 @t10)) % 6.13/6.44 (define @t59 () (tptp.c_HOL_Oord__class_Oless @t2 @t1 tptp.tc_nat)) % 6.13/6.44 (define @t60 () (not @t59)) % 6.13/6.44 (define @t61 () (tptp.c_Suc @t2)) % 6.13/6.44 (define @t62 () (tptp.c_HOL_Oord__class_Oless @t61 @t1 tptp.tc_nat)) % 6.13/6.44 (define @t63 () (@list @t2 @t1)) % 6.13/6.44 (define @t64 () (@var "V_ys" $$unsorted)) % 6.13/6.44 (define @t65 () (@var "V_xs" $$unsorted)) % 6.13/6.44 (define @t66 () (tptp.c_List_Oappend @t65 @t64 @t14)) % 6.13/6.44 (define @t67 () (tptp.c_List_Olist_OCons @t13 @t65 @t14)) % 6.13/6.44 (define @t68 () (tptp.c_HOL_Ozero__class_Ozero @t14)) % 6.13/6.44 (define @t69 () (tptp.c_HOL_Oord__class_Oless @t25 @t68 @t14)) % 6.13/6.44 (define @t70 () (not @t69)) % 6.13/6.44 (define @t71 () (not (tptp.class_OrderedGroup_Opordered__comm__monoid__add @t14))) % 6.13/6.44 (define @t72 () (@list @t14 @t25 @t23)) % 6.13/6.44 (define @t73 () (not (= @t47 @t49))) % 6.13/6.44 (define @t74 () (@list @t46 @t48 @t44)) % 6.13/6.44 (define @t75 () (not (tptp.class_OrderedGroup_Omonoid__add @t14))) % 6.13/6.44 (define @t76 () (@list @t14)) % 6.13/6.44 (define @t77 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t47 @t43 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 6.13/6.44 (define @t78 () (@list @t46)) % 6.13/6.44 (define @t79 () (tptp.c_Orderings_Oord__class_Omax @t13 @t11 @t14)) % 6.13/6.44 (define @t80 () (tptp.c_HOL_Oord__class_Oless @t79 @t10 @t14)) % 6.13/6.44 (define @t81 () (not @t80)) % 6.13/6.44 (define @t82 () (tptp.c_HOL_Oord__class_Oless @t11 @t10 @t14)) % 6.13/6.44 (define @t83 () (not (tptp.class_Orderings_Olinorder @t14))) % 6.13/6.44 (define @t84 () (tptp.c_HOL_Oord__class_Oless @t13 @t10 @t14)) % 6.13/6.44 (define @t85 () (@list @t14 @t13 @t10 @t11)) % 6.13/6.44 (define @t86 () (tptp.c_HOL_Oord__class_Oless @t10 @t11 @t14)) % 6.13/6.44 (define @t87 () (not @t86)) % 6.13/6.44 (define @t88 () (tptp.c_HOL_Oord__class_Oless @t10 @t79 @t14)) % 6.13/6.44 (define @t89 () (@list @t14 @t10 @t13 @t11)) % 6.13/6.44 (define @t90 () (tptp.c_HOL_Oord__class_Oless @t10 @t13 @t14)) % 6.13/6.44 (define @t91 () (tptp.c_HOL_Oord__class_Oless @t13 (tptp.c_Orderings_Oord__class_Omax @t25 @t23 @t14) @t14)) % 6.13/6.44 (define @t92 () (@list @t14 @t13 @t25 @t23)) % 6.13/6.44 (define @t93 () (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) % 6.13/6.44 (define @t94 () (tptp.c_Suc @t93)) % 6.13/6.44 (define @t95 () (@var "V_dB2" $$unsorted)) % 6.13/6.44 (define @t96 () (@var "V_dB1" $$unsorted)) % 6.13/6.44 (define @t97 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t96) @t95)) % 6.13/6.44 (define @t98 () (@list @t96 @t95)) % 6.13/6.44 (define @t99 () (tptp.c_Suc @t13)) % 6.13/6.44 (define @t100 () (@list @t13)) % 6.13/6.44 (define @t101 () (tptp.c_Suc @t1)) % 6.13/6.44 (define @t102 () (@list @t1)) % 6.13/6.44 (define @t103 () (tptp.hAPP @t55 @t101)) % 6.13/6.44 (define @t104 () (tptp.hAPP (tptp.hAPP @t5 @t61) @t1)) % 6.13/6.44 (define @t105 () (@var "T_b" $$unsorted)) % 6.13/6.44 (define @t106 () (@var "V_f" $$unsorted)) % 6.13/6.44 (define @t107 () (tptp.c_List_Olist_OCons @t13 @t65 @t105)) % 6.13/6.44 (define @t108 () (= @t2 @t94)) % 6.13/6.44 (define @t109 () (= @t2 @t93)) % 6.13/6.44 (define @t110 () (tptp.hAPP @t55 @t1)) % 6.13/6.44 (define @t111 () (not (= @t94 @t110))) % 6.13/6.44 (define @t112 () (= @t1 @t93)) % 6.13/6.44 (define @t113 () (= @t1 @t94)) % 6.13/6.44 (define @t114 () (tptp.hAPP @t5 @t93)) % 6.13/6.44 (define @t115 () (tptp.hAPP @t114 @t94)) % 6.13/6.44 (define @t116 () (@var "V_P" $$unsorted)) % 6.13/6.44 (define @t117 () (tptp.c_Type_Osko__Type__Xtype__induct__1__1 @t116)) % 6.13/6.44 (define @t118 () (@var "V_T" $$unsorted)) % 6.13/6.44 (define @t119 () (tptp.hBOOL (tptp.hAPP @t116 @t118))) % 6.13/6.44 (define @t120 () (tptp.c_Lambda_OdB_OVar @t13)) % 6.13/6.44 (define @t121 () (tptp.c_HOL_Oord__class_Oless @t13 @t13 tptp.tc_nat)) % 6.13/6.44 (define @t122 () (@list @t13 @t48)) % 6.13/6.44 (define @t123 () (@var "V_ts" $$unsorted)) % 6.13/6.44 (define @t124 () (@var "V_t" $$unsorted)) % 6.13/6.44 (define @t125 () (@var "V_e" $$unsorted)) % 6.13/6.44 (define @t126 () (tptp.c_Type_Otyping @t125 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t124 @t123 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) @t118)) % 6.13/6.44 (define @t127 () (not @t126)) % 6.13/6.44 (define @t128 () (tptp.c_Type_Osko__Type__Xlist__app__typeE__1__1 @t118 @t125 @t124 @t123)) % 6.13/6.44 (define @t129 () (@list @t125 @t123 @t118 @t124)) % 6.13/6.44 (define @t130 () (@var "V_u" $$unsorted)) % 6.13/6.44 (define @t131 () (tptp.hAPP @t15 @t11)) % 6.13/6.44 (define @t132 () (tptp.hAPP @t131 @t10)) % 6.13/6.44 (define @t133 () (tptp.hAPP @t16 @t132)) % 6.13/6.44 (define @t134 () (not (tptp.class_OrderedGroup_Oab__group__add @t14))) % 6.13/6.44 (define @t135 () (tptp.c_List_Oreplicate @t1 @t13 @t14)) % 6.13/6.44 (define @t136 () (@list @t1 @t13 @t14)) % 6.13/6.44 (define @t137 () (tptp.c_HOL_Oord__class_Oless @t93 @t110 tptp.tc_nat)) % 6.13/6.44 (define @t138 () (tptp.c_HOL_Oord__class_Oless @t93 @t2 tptp.tc_nat)) % 6.13/6.44 (define @t139 () (tptp.c_HOL_Oord__class_Oless @t93 @t1 tptp.tc_nat)) % 6.13/6.44 (define @t140 () (@list @t1 @t2)) % 6.13/6.44 (define @t141 () (tptp.hAPP @t34 @t22)) % 6.13/6.44 (define @t142 () (tptp.hAPP @t26 @t141)) % 6.13/6.44 (define @t143 () (tptp.hAPP @t15 @t28)) % 6.13/6.44 (define @t144 () (tptp.hAPP @t143 @t22)) % 6.13/6.44 (define @t145 () (= @t144 @t142)) % 6.13/6.44 (define @t146 () (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 @t14))) % 6.13/6.44 (define @t147 () (@var "V_d" $$unsorted)) % 6.13/6.44 (define @t148 () (tptp.hAPP @t32 @t147)) % 6.13/6.44 (define @t149 () (tptp.hAPP @t26 @t148)) % 6.13/6.44 (define @t150 () (@list @t14 @t25 @t22 @t147)) % 6.13/6.44 (define @t151 () (tptp.hAPP @t15 @t27)) % 6.13/6.44 (define @t152 () (not (tptp.class_OrderedGroup_Oab__semigroup__add @t14))) % 6.13/6.44 (define @t153 () (not (tptp.class_OrderedGroup_Ocomm__monoid__add @t14))) % 6.13/6.44 (define @t154 () (@list @t2 @t1 @t4)) % 6.13/6.44 (define @t155 () (tptp.hAPP @t5 @t11)) % 6.13/6.44 (define @t156 () (tptp.hAPP @t155 @t10)) % 6.13/6.44 (define @t157 () (tptp.c_HOL_Oord__class_Oless @t11 @t13 @t14)) % 6.13/6.44 (define @t158 () (not @t157)) % 6.13/6.44 (define @t159 () (not (tptp.class_Orderings_Oorder @t14))) % 6.13/6.44 (define @t160 () (tptp.c_HOL_Oord__class_Oless @t13 @t11 @t14)) % 6.13/6.44 (define @t161 () (not @t160)) % 6.13/6.44 (define @t162 () (not @t82)) % 6.13/6.44 (define @t163 () (not (tptp.class_Orderings_Opreorder @t14))) % 6.13/6.44 (define @t164 () (tptp.c_List_Ofoldl @t15 @t68 @t65 @t14 @t14)) % 6.13/6.44 (define @t165 () (tptp.c_List_Olistsum @t65 @t14)) % 6.13/6.44 (define @t166 () (@list @t14 @t65)) % 6.13/6.44 (define @t167 () (@var "V_i" $$unsorted)) % 6.13/6.44 (define @t168 () (tptp.c_HOL_Oord__class_Oless @t4 @t167 tptp.tc_nat)) % 6.13/6.44 (define @t169 () (= @t167 @t4)) % 6.13/6.44 (define @t170 () (tptp.c_Lambda_OdB_OVar @t167)) % 6.13/6.44 (define @t171 () (@list @t167 @t48 @t4)) % 6.13/6.44 (define @t172 () (@var "V_dB" $$unsorted)) % 6.13/6.44 (define @t173 () (@var "V_f3" $$unsorted)) % 6.13/6.44 (define @t174 () (tptp.hAPP @t173 @t172)) % 6.13/6.44 (define @t175 () (tptp.c_Lambda_OdB_OAbs @t172)) % 6.13/6.44 (define @t176 () (@var "V_f2" $$unsorted)) % 6.13/6.44 (define @t177 () (@var "V_f1" $$unsorted)) % 6.13/6.44 (define @t178 () (@list @t177 @t176 @t173 @t172 @t14)) % 6.13/6.44 (define @t179 () (not (tptp.c_Lambda_Obeta @t46 @t48))) % 6.13/6.44 (define @t180 () (tptp.hAPP (tptp.hAPP @t5 @t94) @t93)) % 6.13/6.44 (define @t181 () (tptp.c_List_Oreplicate @t2 @t13 @t14)) % 6.13/6.44 (define @t182 () (not (= @t181 (tptp.c_List_Oreplicate @t1 @t11 @t14)))) % 6.13/6.44 (define @t183 () (@list @t2 @t13 @t14 @t1 @t11)) % 6.13/6.44 (define @t184 () (= @t64 @t37)) % 6.13/6.44 (define @t185 () (@list @t65 @t64 @t14 @t37)) % 6.13/6.44 (define @t186 () (not (tptp.class_Power_Opower @t14))) % 6.13/6.44 (define @t187 () (not (tptp.class_Ring__and__Field_Osemiring__0 @t14))) % 6.13/6.44 (define @t188 () (@list @t14 @t1)) % 6.13/6.44 (define @t189 () (tptp.c_Suc @t110)) % 6.13/6.44 (define @t190 () (tptp.hAPP @t5 @t167)) % 6.13/6.44 (define @t191 () (@list @t167 @t2)) % 6.13/6.44 (define @t192 () (tptp.c_List_Oappend @t65 @t52 @t14)) % 6.13/6.44 (define @t193 () (@list @t65 @t14)) % 6.13/6.44 (define @t194 () (@list @t13 @t14)) % 6.13/6.44 (define @t195 () (tptp.c_List_Oappend @t52 @t64 @t14)) % 6.13/6.44 (define @t196 () (@var "V_nat_H" $$unsorted)) % 6.13/6.44 (define @t197 () (@var "V_nat" $$unsorted)) % 6.13/6.44 (define @t198 () (= @t197 @t196)) % 6.13/6.44 (define @t199 () (tptp.c_Type_Otype_OAtom @t197)) % 6.13/6.44 (define @t200 () (@list @t197 @t196)) % 6.13/6.44 (define @t201 () (tptp.c_HOL_Oord__class_Oless @t13 @t11 tptp.tc_nat)) % 6.13/6.44 (define @t202 () (tptp.c_HOL_Oord__class_Oless @t13 @t156 tptp.tc_nat)) % 6.13/6.44 (define @t203 () (@var "V_j" $$unsorted)) % 6.13/6.44 (define @t204 () (tptp.hAPP @t190 @t203)) % 6.13/6.44 (define @t205 () (tptp.c_HOL_Oord__class_Oless @t167 @t4 tptp.tc_nat)) % 6.13/6.44 (define @t206 () (@list @t167 @t4 @t203)) % 6.13/6.44 (define @t207 () (not (tptp.c_HOL_Oord__class_Oless @t167 @t203 tptp.tc_nat))) % 6.13/6.44 (define @t208 () (tptp.hAPP @t5 @t203)) % 6.13/6.44 (define @t209 () (tptp.hAPP @t53 @t2)) % 6.13/6.44 (define @t210 () (@var "V_l" $$unsorted)) % 6.13/6.44 (define @t211 () (not (tptp.c_HOL_Oord__class_Oless @t4 @t210 tptp.tc_nat))) % 6.13/6.44 (define @t212 () (@list @t14 @t13 @t11)) % 6.13/6.44 (define @t213 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t1 @t14)) % 6.13/6.44 (define @t214 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t2 @t14)) % 6.13/6.44 (define @t215 () (@list @t14 @t2 @t1)) % 6.13/6.44 (define @t216 () (@var "V_r1" $$unsorted)) % 6.13/6.44 (define @t217 () (@var "V_r0" $$unsorted)) % 6.13/6.44 (define @t218 () (@var "V_pwr" $$unsorted)) % 6.13/6.44 (define @t219 () (@var "V_mul" $$unsorted)) % 6.13/6.44 (define @t220 () (@var "V_add" $$unsorted)) % 6.13/6.44 (define @t221 () (not (tptp.c_Groebner__Basis_Ogb__semiring @t220 @t219 @t218 @t217 @t216 @t14))) % 6.13/6.44 (define @t222 () (@var "V_q" $$unsorted)) % 6.13/6.44 (define @t223 () (@var "V_p" $$unsorted)) % 6.13/6.44 (define @t224 () (tptp.hAPP @t218 @t13)) % 6.13/6.44 (define @t225 () (tptp.hAPP @t224 @t222)) % 6.13/6.44 (define @t226 () (tptp.c_Lambda_Oliftn @t1 @t124 @t4)) % 6.13/6.44 (define @t227 () (= @t13 @t11)) % 6.13/6.44 (define @t228 () (tptp.c_Suc @t196)) % 6.13/6.44 (define @t229 () (tptp.c_List_Ofoldl @t15 @t25 @t65 @t14 @t14)) % 6.13/6.44 (define @t230 () (tptp.hAPP @t26 @t25)) % 6.13/6.44 (define @t231 () (tptp.c_HOL_Oord__class_Oless @t230 @t68 @t14)) % 6.13/6.44 (define @t232 () (not (tptp.class_OrderedGroup_Olordered__ab__group__add @t14))) % 6.13/6.44 (define @t233 () (@list @t14 @t25)) % 6.13/6.44 (define @t234 () (not @t231)) % 6.13/6.44 (define @t235 () (not (tptp.class_Ring__and__Field_Oordered__idom @t14))) % 6.13/6.44 (define @t236 () (tptp.c_HOL_Oord__class_Oless @t68 @t25 @t14)) % 6.13/6.44 (define @t237 () (not @t236)) % 6.13/6.44 (define @t238 () (tptp.c_Power_Opower__class_Opower @t25 @t1 @t14)) % 6.13/6.44 (define @t239 () (not (tptp.class_Ring__and__Field_Oordered__semidom @t14))) % 6.13/6.44 (define @t240 () (@list @t14 @t25 @t1)) % 6.13/6.44 (define @t241 () (tptp.c_List_Olist_ONil @t105)) % 6.13/6.44 (define @t242 () (= @t65 @t52)) % 6.13/6.44 (define @t243 () (not (= @t52 @t66))) % 6.13/6.44 (define @t244 () (@list @t14 @t65 @t64)) % 6.13/6.44 (define @t245 () (= @t64 @t52)) % 6.13/6.44 (define @t246 () (@var "V_dB_H" $$unsorted)) % 6.13/6.44 (define @t247 () (tptp.c_Lambda_OdB_OAbs @t246)) % 6.13/6.44 (define @t248 () (@var "V_list_H" $$unsorted)) % 6.13/6.44 (define @t249 () (@var "V_a_H" $$unsorted)) % 6.13/6.44 (define @t250 () (tptp.c_List_Olist_OCons @t249 @t248 @t14)) % 6.13/6.44 (define @t251 () (tptp.hAPP @t219 @t225)) % 6.13/6.44 (define @t252 () (tptp.hAPP @t219 @t13)) % 6.13/6.44 (define @t253 () (tptp.hAPP @t252 @t11)) % 6.13/6.44 (define @t254 () (tptp.hAPP @t220 @t11)) % 6.13/6.44 (define @t255 () (tptp.hAPP @t254 @t10)) % 6.13/6.44 (define @t256 () (tptp.hAPP @t219 @t11)) % 6.13/6.44 (define @t257 () (tptp.hAPP @t219 @t216)) % 6.13/6.44 (define @t258 () (tptp.hAPP @t219 @t217)) % 6.13/6.44 (define @t259 () (tptp.hAPP @t220 @t13)) % 6.13/6.44 (define @t260 () (tptp.hAPP @t259 @t11)) % 6.13/6.44 (define @t261 () (tptp.hAPP @t220 @t217)) % 6.13/6.44 (define @t262 () (tptp.hAPP @t220 @t25)) % 6.13/6.44 (define @t263 () (tptp.hAPP @t262 @t22)) % 6.13/6.44 (define @t264 () (tptp.hAPP @t220 @t263)) % 6.13/6.44 (define @t265 () (tptp.hAPP @t220 @t22)) % 6.13/6.44 (define @t266 () (tptp.hAPP @t265 @t147)) % 6.13/6.44 (define @t267 () (tptp.hAPP @t262 @t266)) % 6.13/6.44 (define @t268 () (@list @t220 @t25 @t22 @t147 @t219 @t218 @t217 @t216 @t14)) % 6.13/6.44 (define @t269 () (tptp.hAPP @t262 @t23)) % 6.13/6.44 (define @t270 () (tptp.hAPP @t220 @t269)) % 6.13/6.44 (define @t271 () (tptp.hAPP @t270 @t22)) % 6.13/6.44 (define @t272 () (@list @t220 @t25 @t23 @t22 @t219 @t218 @t217 @t216 @t14)) % 6.13/6.44 (define @t273 () (tptp.hAPP @t220 @t23)) % 6.13/6.44 (define @t274 () (@var "V_ry" $$unsorted)) % 6.13/6.44 (define @t275 () (@var "V_lx" $$unsorted)) % 6.13/6.44 (define @t276 () (tptp.hAPP @t219 @t275)) % 6.13/6.44 (define @t277 () (@var "V_rx" $$unsorted)) % 6.13/6.44 (define @t278 () (tptp.hAPP @t219 @t277)) % 6.13/6.44 (define @t279 () (tptp.hAPP @t278 @t274)) % 6.13/6.44 (define @t280 () (tptp.hAPP @t276 @t279)) % 6.13/6.44 (define @t281 () (@list @t219 @t275 @t277 @t274 @t220 @t218 @t217 @t216 @t14)) % 6.13/6.44 (define @t282 () (tptp.hAPP @t219 (tptp.hAPP @t276 @t277))) % 6.13/6.44 (define @t283 () (@var "V_ly" $$unsorted)) % 6.13/6.44 (define @t284 () (tptp.hAPP @t219 @t283)) % 6.13/6.44 (define @t285 () (tptp.hAPP @t219 (tptp.hAPP @t276 @t283))) % 6.13/6.44 (define @t286 () (tptp.hAPP @t285 @t277)) % 6.13/6.44 (define @t287 () (@list @t219 @t275 @t283 @t277 @t220 @t218 @t217 @t216 @t14)) % 6.13/6.44 (define @t288 () (tptp.hAPP @t285 @t279)) % 6.13/6.44 (define @t289 () (@list @t219 @t275 @t283 @t277 @t274 @t220 @t218 @t217 @t216 @t14)) % 6.13/6.44 (define @t290 () (tptp.hAPP @t219 @t25)) % 6.13/6.44 (define @t291 () (tptp.hAPP @t219 @t23)) % 6.13/6.44 (define @t292 () (tptp.hAPP @t219 @t269)) % 6.13/6.44 (define @t293 () (tptp.hAPP @t220 @t2)) % 6.13/6.44 (define @t294 () (tptp.hAPP (tptp.hAPP @t219 (tptp.hAPP @t262 @t216)) @t2)) % 6.13/6.44 (define @t295 () (tptp.hAPP @t290 @t2)) % 6.13/6.44 (define @t296 () (tptp.hAPP @t220 @t295)) % 6.13/6.44 (define @t297 () (@var "V_xc" $$unsorted)) % 6.13/6.44 (define @t298 () (tptp.hAPP @t177 @t197)) % 6.13/6.44 (define @t299 () (tptp.hBOOL (tptp.hAPP @t116 @t298))) % 6.13/6.44 (define @t300 () (not (= @t110 @t94))) % 6.13/6.44 (define @t301 () (not (tptp.c_InductTermi_OIT @t46))) % 6.13/6.44 (define @t302 () (tptp.hAPP @t34 @t147)) % 6.13/6.44 (define @t303 () (@list @t172)) % 6.13/6.44 (define @t304 () (not @t205)) % 6.13/6.44 (define @t305 () (tptp.c_Lambda_Oliftn @t1 @t170 @t4)) % 6.13/6.44 (define @t306 () (@list @t1 @t167 @t4)) % 6.13/6.44 (define @t307 () (tptp.c_List_Oreplicate @t93 @t13 @t14)) % 6.13/6.44 (define @t308 () (tptp.c_HOL_Oord__class_Oless @t13 @t99 tptp.tc_nat)) % 6.13/6.44 (define @t309 () (tptp.c_HOL_Oord__class_Oless @t1 @t61 tptp.tc_nat)) % 6.13/6.44 (define @t310 () (not @t309)) % 6.13/6.44 (define @t311 () (tptp.c_List_Oappend @t52 @t67 @t14)) % 6.13/6.44 (define @t312 () (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le @t14))) % 6.13/6.44 (define @t313 () (tptp.c_Orderings_Oord__class_Omax @t13 (tptp.c_Orderings_Oord__class_Omax @t11 @t10 @t14) @t14)) % 6.13/6.44 (define @t314 () (tptp.c_List_Oappend @t52 @t52 @t14)) % 6.13/6.44 (define @t315 () (not (tptp.c_Lambda_Obeta @t48 @t124))) % 6.13/6.44 (define @t316 () (tptp.c_Lambda_OdB_OAbs @t124)) % 6.13/6.44 (define @t317 () (tptp.c_Lambda_OdB_OAbs @t48)) % 6.13/6.44 (define @t318 () (@list @t48 @t124)) % 6.13/6.44 (define @t319 () (tptp.c_List_Oreplicate @t167 @t13 @t14)) % 6.13/6.44 (define @t320 () (tptp.c_List_Olist_OCons @t13 @t52 @t14)) % 6.13/6.44 (define @t321 () (tptp.c_List_Oappend @t65 @t64 @t105)) % 6.13/6.44 (define @t322 () (@list @t177 @t176 @t197 @t14)) % 6.13/6.44 (define @t323 () (tptp.c_HOL_Oord__class_Oless @t61 @t101 tptp.tc_nat)) % 6.13/6.44 (define @t324 () (not @t139)) % 6.13/6.44 (define @t325 () (tptp.c_HOL_Oord__class_Oless @t68 @t230 @t14)) % 6.13/6.44 (define @t326 () (not (tptp.c_Type_Otyping @t125 @t316 @t118))) % 6.13/6.44 (define @t327 () (tptp.c_Type_Osko__Type__Xtyping__elims__3__2 @t118 @t125 @t124)) % 6.13/6.44 (define @t328 () (tptp.c_Type_Osko__Type__Xtyping__elims__3__1 @t118 @t125 @t124)) % 6.13/6.44 (define @t329 () (= @t25 @t68)) % 6.13/6.44 (define @t330 () (not (= @t238 @t68))) % 6.13/6.44 (define @t331 () (not (tptp.class_Ring__and__Field_Omult__zero @t14))) % 6.13/6.44 (define @t332 () (not (tptp.class_Ring__and__Field_Ono__zero__divisors @t14))) % 6.13/6.44 (define @t333 () (not (tptp.class_Ring__and__Field_Ozero__neq__one @t14))) % 6.13/6.44 (define @t334 () (tptp.hAPP @t15 @t68)) % 6.13/6.44 (define @t335 () (@list @t14 @t13)) % 6.13/6.44 (define @t336 () (= (tptp.hAPP @t334 @t25) @t25)) % 6.13/6.44 (define @t337 () (= (tptp.hAPP @t26 @t68) @t25)) % 6.13/6.44 (define @t338 () (@list @t2)) % 6.13/6.44 (define @t339 () (@list @t196)) % 6.13/6.44 (define @t340 () (not (= @t110 @t93))) % 6.13/6.44 (define @t341 () (not (= @t66 @t52))) % 6.13/6.44 (define @t342 () (@list @t65 @t64 @t14)) % 6.13/6.44 (define @t343 () (tptp.c_HOL_Oord__class_Oless @t2 @t101 tptp.tc_nat)) % 6.13/6.44 (define @t344 () (tptp.c_HOL_Oord__class_Oless @t1 @t2 tptp.tc_nat)) % 6.13/6.44 (define @t345 () (not (tptp.c_HOL_Oord__class_Oless @t13 @t13 @t14))) % 6.13/6.44 (define @t346 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t317) @t124)) % 6.13/6.44 (define @t347 () (@list @t14 @t13 @t65)) % 6.13/6.44 (define @t348 () (@list @t14 @t11 @t13)) % 6.13/6.44 (define @t349 () (tptp.c_List_Oreplicate @t4 @t13 @t14)) % 6.13/6.44 (define @t350 () (tptp.c_HOL_Oord__class_Oless @t25 @t23 @t14)) % 6.13/6.44 (define @t351 () (not @t350)) % 6.13/6.44 (define @t352 () (not (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add @t14))) % 6.13/6.44 (define @t353 () (tptp.hAPP @t190 @t4)) % 6.13/6.44 (define @t354 () (@var "V_rs" $$unsorted)) % 6.13/6.44 (define @t355 () (= @t354 @t44)) % 6.13/6.44 (define @t356 () (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t47 @t354 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t317 @t44 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 6.13/6.44 (define @t357 () (@list @t46 @t354 @t48 @t44)) % 6.13/6.44 (define @t358 () (= @t46 @t48)) % 6.13/6.44 (define @t359 () (tptp.c_HOL_Oord__class_Oless @t214 @t213 @t14)) % 6.13/6.44 (define @t360 () (tptp.c_Suc @t167)) % 6.13/6.44 (define @t361 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t46) @t48)) % 6.13/6.44 (define @t362 () (tptp.hAPP @t224 (tptp.c_Suc @t222))) % 6.13/6.44 (define @t363 () (tptp.hAPP @t252 @t225)) % 6.13/6.44 (define @t364 () (tptp.c_HOL_Oord__class_Oless @t68 @t213 @t14)) % 6.13/6.44 (define @t365 () (tptp.c_Type_Osko__Type__Xlist__app__typeD__1__1 @t118 @t125 @t124 @t123)) % 6.13/6.44 (define @t366 () (not (tptp.c_HOL_Oord__class_Oless @t203 @t167 tptp.tc_nat))) % 6.13/6.44 (define @t367 () (tptp.c_Lambda_OdB_OVar @t203)) % 6.13/6.44 (define @t368 () (tptp.c_HOL_Oord__class_Oless @t27 @t141 @t14)) % 6.13/6.44 (define @t369 () (@list @t14 @t25 @t22 @t23)) % 6.13/6.44 (define @t370 () (tptp.c_HOL_Oord__class_Oless @t33 (tptp.hAPP @t32 @t23) @t14)) % 6.13/6.44 (define @t371 () (@list @t14 @t22 @t25 @t23)) % 6.13/6.44 (define @t372 () (tptp.c_HOL_Oord__class_Oless @t8 @t7 tptp.tc_nat)) % 6.13/6.44 (define @t373 () (@var "V_list" $$unsorted)) % 6.13/6.44 (define @t374 () (not (= (tptp.c_List_Olist_OCons @t25 @t373 @t14) @t250))) % 6.13/6.44 (define @t375 () (@list @t25 @t373 @t14 @t249 @t248)) % 6.13/6.44 (define @t376 () (not (tptp.class_Ring__and__Field_Osemiring__1 @t14))) % 6.13/6.44 (define @t377 () (not (= (tptp.c_List_Oappend @t65 @t320 @t14) (tptp.c_List_Oappend @t64 (tptp.c_List_Olist_OCons @t11 @t52 @t14) @t14)))) % 6.13/6.44 (define @t378 () (@list @t65 @t13 @t14 @t64 @t11)) % 6.13/6.44 (define @t379 () (@var "V_us" $$unsorted)) % 6.13/6.44 (define @t380 () (not (tptp.c_HOL_Oord__class_Oless @t23 @t25 @t14))) % 6.13/6.44 (define @t381 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t124)) % 6.13/6.44 (define @t382 () (tptp.hAPP @t381 @t130)) % 6.13/6.44 (define @t383 () (@list @t124 @t130 @t48 @t4)) % 6.13/6.44 (define @t384 () (@var "V_xb" $$unsorted)) % 6.13/6.44 (define @t385 () (tptp.hAPP (tptp.hAPP @t176 @t96) @t95)) % 6.13/6.44 (define @t386 () (@list @t177 @t176 @t173 @t96 @t95 @t14)) % 6.13/6.44 (define @t387 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t130)) % 6.13/6.44 (define @t388 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t48)) % 6.13/6.44 (define @t389 () (tptp.hAPP @t388 @t124)) % 6.13/6.44 (define @t390 () (tptp.c_Lambda_OdB_OVar @t1)) % 6.13/6.44 (define @t391 () (tptp.c_Lambda_OdB_OVar @t2)) % 6.13/6.44 (define @t392 () (not (= @t391 @t49))) % 6.13/6.44 (define @t393 () (@list @t2 @t48 @t44)) % 6.13/6.44 (define @t394 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t390 @t44 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 6.13/6.44 (define @t395 () (tptp.c_List_Ofoldr @t15 @t65 @t68 @t14 @t14)) % 6.13/6.44 (define @t396 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t170 @t123 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 6.13/6.44 (define @t397 () (not (tptp.c_Type_Otyping @t125 @t396 @t118))) % 6.13/6.44 (define @t398 () (tptp.c_Type_Osko__Type__Xvar__app__typesE__1__1 @t118 @t125 @t167 @t123)) % 6.13/6.44 (define @t399 () (not (tptp.c_Type_Otyping @t125 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t396 @t379 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) @t118))) % 6.13/6.44 (define @t400 () (@var "V_Ts" $$unsorted)) % 6.13/6.44 (define @t401 () (not (tptp.c_Type_Otypings @t125 @t123 @t400))) % 6.13/6.44 (define @t402 () (@var "V_U" $$unsorted)) % 6.13/6.44 (define @t403 () (not (tptp.c_Type_Otyping @t125 @t396 @t402))) % 6.13/6.44 (define @t404 () (tptp.c_Type_Osko__Type__Xvar__app__types__1__1 @t118 @t402 @t125 @t379)) % 6.13/6.44 (define @t405 () (tptp.c_Lambda_OdB_OVar @t197)) % 6.13/6.44 (define @t406 () (@var "V_xd" $$unsorted)) % 6.13/6.44 (define @t407 () (@list @t177 @t176 @t173 @t197 @t14)) % 6.13/6.44 (define @t408 () (tptp.c_Type_Oshift tptp.v_e____ tptp.v_i____ tptp.v_T____ tptp.tc_Type_Otype)) % 6.13/6.44 (define @t409 () (not (tptp.c_Type_Otyping @t125 @t124 @t118))) % 6.13/6.44 (define @t410 () (@var "V_t_H" $$unsorted)) % 6.13/6.44 (define @t411 () (@var "V_type2_H" $$unsorted)) % 6.13/6.44 (define @t412 () (@var "V_type1_H" $$unsorted)) % 6.13/6.44 (define @t413 () (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t412) @t411)) % 6.13/6.44 (define @t414 () (@var "V_T2" $$unsorted)) % 6.13/6.44 (define @t415 () (@var "V_T1" $$unsorted)) % 6.13/6.44 (define @t416 () (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t415) @t414)) % 6.13/6.44 (define @t417 () (@var "V_T1a" $$unsorted)) % 6.13/6.44 (define @t418 () (@var "V_type2" $$unsorted)) % 6.13/6.44 (define @t419 () (@var "V_type1" $$unsorted)) % 6.13/6.44 (define @t420 () (tptp.hAPP (tptp.hAPP @t176 @t419) @t418)) % 6.13/6.44 (define @t421 () (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t419) @t418)) % 6.13/6.44 (define @t422 () (@list @t177 @t176 @t419 @t418 @t14)) % 6.13/6.44 (define @t423 () (not (tptp.c_InductTermi_OIT @t124))) % 6.13/6.44 (define @t424 () (tptp.c_Lambda_Olift @t124 @t167)) % 6.13/6.44 (define @t425 () (@list @t124 @t167)) % 6.13/6.44 (define @t426 () (tptp.c_Lambda_Olift @t124 @t4)) % 6.13/6.44 (define @t427 () (@var "V_Ta" $$unsorted)) % 6.13/6.44 (define @t428 () (not (tptp.c_InductTermi_OIT @t130))) % 6.13/6.44 (define @t429 () (tptp.c_Lambda_Osubst @t124 @t130 @t167)) % 6.13/6.44 (define @t430 () (tptp.c_InductTermi_OIT @t429)) % 6.13/6.44 (define @t431 () (not (= tptp.v_T____ @t416))) % 6.13/6.44 (define @t432 () (@list @t415 @t414 @t124 @t130 @t167 @t125 @t427)) % 6.13/6.44 (define @t433 () (tptp.c_Lambda_OdB_OVar tptp.v_n____)) % 6.13/6.44 (define @t434 () (= (tptp.c_Power_Opower__class_Opower @t68 @t1 @t14) @t68)) % 6.13/6.44 (define @t435 () (@list @t197)) % 6.13/6.44 (define @t436 () (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t391 @t354 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) @t394))) % 6.13/6.44 (define @t437 () (@list @t2 @t354 @t1 @t44)) % 6.13/6.44 (define @t438 () (not (tptp.c_Type_Otyping @t125 @t382 @t118))) % 6.13/6.44 (define @t439 () (tptp.c_Type_Osko__Type__Xtyping__elims__2__1 @t118 @t125 @t124 @t130)) % 6.13/6.44 (define @t440 () (@list @t125 @t124 @t118 @t123)) % 6.13/6.44 (define @t441 () (@var "V_e_H" $$unsorted)) % 6.13/6.44 (define @t442 () (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun tptp.v_Ts____ tptp.v_T_H____ tptp.tc_Type_Otype tptp.tc_Type_Otype)) % 6.13/6.44 (define @t443 () (tptp.hAPP tptp.c_Type_Otype_OFun tptp.v_T_H_H____)) % 6.13/6.44 (define @t444 () (tptp.hAPP @t443 @t442)) % 6.13/6.44 (define @t445 () (tptp.c_Type_Otyping tptp.v_e____ tptp.v_u____ tptp.v_T____)) % 6.13/6.44 (define @t446 () (@var "V_env" $$unsorted)) % 6.13/6.44 (define @t447 () (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t118) @t402)) % 6.13/6.44 (define @t448 () (not (= @t421 @t413))) % 6.13/6.44 (define @t449 () (@list @t419 @t418 @t412 @t411)) % 6.13/6.44 (define @t450 () (@var "V_dB1_H" $$unsorted)) % 6.13/6.44 (define @t451 () (@var "V_dB2_H" $$unsorted)) % 6.13/6.44 (define @t452 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t450) @t451)) % 6.13/6.44 (define @t453 () (not (= @t97 @t452))) % 6.13/6.44 (define @t454 () (@list @t96 @t95 @t450 @t451)) % 6.13/6.44 (define @t455 () (tptp.hAPP (tptp.c_Type_Oshift @t125 @t13 @t118 @t14) @t13)) % 6.13/6.44 (define @t456 () (forall (@list @t125 @t13 @t118 @t14) (= @t455 @t118))) % 6.13/6.44 (define @t457 () (tptp.c_Lambda_OdB_OVar @t93)) % 6.13/6.44 (define @t458 () (tptp.c_Lambda_Olift tptp.v_u____ @t93)) % 6.13/6.44 (define @t459 () (tptp.c_Type_Oshift tptp.v_e____ @t93 tptp.v_T_H_H____ tptp.tc_Type_Otype)) % 6.13/6.44 (define @t460 () (tptp.c_Type_Otyping @t459 (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t458) @t457) @t442)) % 6.13/6.44 (define @t461 () (@var "T_1" $$unsorted)) % 6.13/6.44 (define @t462 () (@var "T_2" $$unsorted)) % 6.13/6.44 (define @t463 () (tptp.tc_fun @t462 @t461)) % 6.13/6.44 (define @t464 () (@list @t462 @t461)) % 6.13/6.44 (define @t465 () (@var "V_Y" $$unsorted)) % 6.13/6.44 (define @t466 () (@var "V_X" $$unsorted)) % 6.13/6.44 (define @t467 () (tptp.hAPP @t459 @t93)) % 6.13/6.44 (define @t468 () (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t467) @t442)) % 6.13/6.44 (define @t469 () (tptp.c_Type_Otyping @t459 @t458 @t468)) % 6.13/6.44 (define @t470 () (not @t469)) % 6.13/6.44 (define @t471 () (tptp.c_Type_Otyping @t459 @t457 @t467)) % 6.13/6.44 (define @t472 () (not @t471)) % 6.13/6.44 (define @t473 () (or @t460 @t472 @t470)) % 6.13/6.44 (define @t474 () (not (tptp.c_Type_Otyping tptp.v_e____ tptp.v_u____ @t468))) % 6.13/6.44 (define @t475 () (or @t469 @t474)) % 6.13/6.44 (assume @p1 (forall @t9 (or (not (= @t8 @t7)) @t3))) % 6.13/6.44 (assume @p2 (forall @t21 (or @t20 @t19 (not (= @t18 @t17)) @t12))) % 6.13/6.44 (assume @p3 (forall @t30 (or (not (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add @t14)) @t29 @t24))) % 6.13/6.44 (assume @p4 (forall @t30 (or @t31 @t29 @t24))) % 6.13/6.44 (assume @p5 (forall @t36 (or @t31 (not (= @t35 @t33)) @t24))) % 6.13/6.44 (assume @p6 (forall (@list @t13 @t38 @t37 @t14) (= @t41 @t40))) % 6.13/6.44 (assume @p7 (forall (@list @t13 @t42 @t37 @t14) (= (tptp.c_List_Olist_OCons @t13 (tptp.c_List_Oappend @t42 @t37 @t14) @t14) (tptp.c_List_Oappend (tptp.c_List_Olist_OCons @t13 @t42 @t14) @t37 @t14)))) % 6.13/6.44 (assume @p8 (forall @t51 (or @t50 @t45))) % 6.13/6.44 (assume @p9 (forall (@list @t13 @t38 @t14) (not (= @t39 @t52)))) % 6.13/6.44 (assume @p10 (forall (@list @t2 @t4 @t1) (or (not (= (tptp.hAPP @t55 @t4) @t54)) @t3))) % 6.13/6.44 (assume @p11 (forall @t58 (or (not (= (tptp.hAPP @t56 @t11) @t57)) @t12))) % 6.13/6.44 (assume @p12 (forall @t63 (or @t62 (= @t61 @t1) @t60))) % 6.13/6.44 (assume @p13 (forall (@list @t13 @t65 @t14 @t64) (= (tptp.c_List_Oappend @t67 @t64 @t14) (tptp.c_List_Olist_OCons @t13 @t66 @t14)))) % 6.13/6.44 (assume @p14 (forall (@list @t13 @t38 @t14 @t37) (= @t40 @t41))) % 6.13/6.44 (assume @p15 (forall @t72 (or @t71 (tptp.c_HOL_Oord__class_Oless @t28 @t68 @t14) (not (tptp.c_HOL_Oord__class_Oless @t23 @t68 @t14)) @t70))) % 6.13/6.44 (assume @p16 (forall @t74 (or @t73 (= @t47 @t48)))) % 6.13/6.44 (assume @p17 (forall @t76 (or @t75 (= (tptp.c_List_Olistsum @t52 @t14) @t68)))) % 6.13/6.44 (assume @p18 (forall @t78 (= @t47 @t77))) % 6.13/6.44 (assume @p19 (forall (@list @t14 @t11 @t10 @t13) (or @t83 @t82 @t81))) % 6.13/6.44 (assume @p20 (forall @t85 (or @t83 @t84 @t81))) % 6.13/6.44 (assume @p21 (forall @t89 (or @t83 @t88 @t87))) % 6.13/6.44 (assume @p22 (forall @t89 (or @t83 @t88 (not @t90)))) % 6.13/6.44 (assume @p23 (forall @t92 (or @t83 @t91 (not (tptp.c_HOL_Oord__class_Oless @t13 @t23 @t14))))) % 6.13/6.44 (assume @p24 (forall @t92 (or @t83 @t91 (not (tptp.c_HOL_Oord__class_Oless @t13 @t25 @t14))))) % 6.13/6.44 (assume @p25 (forall @t98 (= (tptp.c_Nat_Osize__class_Osize @t97 tptp.tc_Lambda_OdB) (tptp.hAPP (tptp.hAPP @t5 (tptp.hAPP (tptp.hAPP @t5 (tptp.c_Nat_Osize__class_Osize @t96 tptp.tc_Lambda_OdB)) (tptp.c_Nat_Osize__class_Osize @t95 tptp.tc_Lambda_OdB))) @t94)))) % 6.13/6.44 (assume @p26 (forall @t100 (tptp.c_HOL_Oord__class_Oless @t93 @t99 tptp.tc_nat))) % 6.13/6.44 (assume @p27 (forall @t102 (tptp.c_HOL_Oord__class_Oless @t93 @t101 tptp.tc_nat))) % 6.13/6.44 (assume @p28 (forall @t63 (= @t104 @t103))) % 6.13/6.44 (assume @p29 (forall (@list @t106 @t25 @t13 @t65 @t105 @t14) (= (tptp.c_List_Ofoldl @t106 @t25 @t107 @t14 @t105) (tptp.c_List_Ofoldl @t106 (tptp.hAPP (tptp.hAPP @t106 @t25) @t13) @t65 @t14 @t105)))) % 6.13/6.44 (assume @p30 (forall @t63 (or @t111 @t109 @t108))) % 6.13/6.44 (assume @p31 (forall @t63 (or @t111 @t113 @t112))) % 6.13/6.44 (assume @p32 (= @t94 @t115)) % 6.13/6.44 (assume @p33 (forall (@list @t116 @t118) (or @t119 (not (tptp.hBOOL (tptp.hAPP @t116 @t117)))))) % 6.13/6.44 (assume @p34 (forall @t122 (or @t121 (= (tptp.c_Lambda_Osubst @t120 @t48 @t13) @t48)))) % 6.13/6.44 (assume @p35 (forall @t129 (or (tptp.c_Type_Otypings @t125 @t123 @t128) @t127))) % 6.13/6.44 (assume @p36 (forall (@list @t14 @t13 @t11 @t10 @t130) (or @t134 (not (= @t133 (tptp.hAPP @t131 @t130))) (= @t17 @t130)))) % 6.13/6.44 (assume @p37 (forall @t136 (= (tptp.c_List_Oreplicate @t101 @t13 @t14) (tptp.c_List_Olist_OCons @t13 @t135 @t14)))) % 6.13/6.44 (assume @p38 (forall @t140 (or @t139 @t138 (not @t137)))) % 6.13/6.44 (assume @p39 (forall @t30 (or @t146 @t145))) % 6.13/6.44 (assume @p40 (forall @t150 (or @t146 (= @t149 (tptp.hAPP @t32 (tptp.hAPP @t26 @t147)))))) % 6.13/6.44 (assume @p41 (forall @t30 (or @t146 (= @t144 (tptp.hAPP @t151 @t23))))) % 6.13/6.44 (assume @p42 (forall @t150 (or @t146 (= @t149 (tptp.hAPP @t151 @t147))))) % 6.13/6.44 (assume @p43 (forall @t30 (or @t152 @t145))) % 6.13/6.44 (assume @p44 (forall @t30 (or @t153 (= @t142 (tptp.hAPP @t34 @t27))))) % 6.13/6.44 (assume @p45 (forall @t30 (or @t153 @t145))) % 6.13/6.44 (assume @p46 (forall @t154 (= (tptp.hAPP (tptp.hAPP @t5 @t110) @t4) (tptp.hAPP @t55 @t54)))) % 6.13/6.44 (assume @p47 (forall @t58 (= (tptp.hAPP @t56 @t156) (tptp.hAPP @t155 @t57)))) % 6.13/6.44 (assume @p48 (forall @t21 (or @t134 (= @t133 (tptp.hAPP @t131 @t17))))) % 6.13/6.44 (assume @p49 (forall @t21 (or @t146 (= @t133 (tptp.hAPP (tptp.hAPP @t15 @t18) @t10))))) % 6.13/6.44 (assume @p50 (forall @t89 (or @t159 @t90 @t87 @t158))) % 6.13/6.44 (assume @p51 (forall @t85 (or @t163 @t84 @t162 @t161))) % 6.13/6.44 (assume @p52 (forall @t166 (or @t75 (= @t165 @t164)))) % 6.13/6.44 (assume @p53 (forall (@list @t124 @t48 @t1) (= (tptp.c_Lambda_Osubstn @t124 @t48 @t1) (tptp.c_Lambda_Osubst @t124 (tptp.c_Lambda_Oliftn @t1 @t48 @t93) @t1)))) % 6.13/6.44 (assume @p54 (forall @t171 (or (= (tptp.c_Lambda_Osubst @t170 @t48 @t4) @t170) @t169 @t168))) % 6.13/6.44 (assume @p55 (forall @t102 (or @t112 (not (tptp.c_HOL_Oord__class_Oless @t1 @t94 tptp.tc_nat))))) % 6.13/6.44 (assume @p56 (forall @t63 (= (tptp.c_Orderings_Oord__class_Omax @t61 @t101 tptp.tc_nat) (tptp.c_Suc (tptp.c_Orderings_Oord__class_Omax @t2 @t1 tptp.tc_nat))))) % 6.13/6.44 (assume @p57 (forall @t178 (= (tptp.c_Lambda_OdB_OdB__case @t177 @t176 @t173 @t175 @t14) @t174))) % 6.13/6.44 (assume @p58 (forall (@list @t46 @t124 @t167 @t48) (or (tptp.c_Lambda_Obeta (tptp.c_Lambda_Osubst @t46 @t124 @t167) (tptp.c_Lambda_Osubst @t48 @t124 @t167)) @t179))) % 6.13/6.44 (assume @p59 (= @t180 @t94)) % 6.13/6.44 (assume @p60 (forall @t183 (or @t182 @t3))) % 6.13/6.44 (assume @p61 (forall (@list @t64 @t65 @t14 @t37) (or (not (= (tptp.c_List_Oappend @t64 @t65 @t14) (tptp.c_List_Oappend @t37 @t65 @t14))) @t184))) % 6.13/6.44 (assume @p62 (forall @t185 (or (not (= @t66 (tptp.c_List_Oappend @t65 @t37 @t14))) @t184))) % 6.13/6.44 (assume @p63 (forall @t21 (or @t83 @t80 @t162 (not @t84)))) % 6.13/6.44 (assume @p64 (forall @t188 (or @t187 @t186 (= (tptp.c_Power_Opower__class_Opower @t68 @t101 @t14) @t68)))) % 6.13/6.44 (assume @p65 (forall @t63 (= @t103 @t189))) % 6.13/6.44 (assume @p66 (forall @t63 (= @t104 @t189))) % 6.13/6.44 (assume @p67 (forall @t191 (tptp.c_HOL_Oord__class_Oless @t167 (tptp.c_Suc (tptp.hAPP @t190 @t2)) tptp.tc_nat))) % 6.13/6.44 (assume @p68 (forall @t191 (tptp.c_HOL_Oord__class_Oless @t167 (tptp.c_Suc (tptp.hAPP @t55 @t167)) tptp.tc_nat))) % 6.13/6.44 (assume @p69 (forall (@list @t2 @t13) (tptp.c_HOL_Oord__class_Oless @t2 (tptp.c_Suc (tptp.hAPP @t55 @t13)) tptp.tc_nat))) % 6.13/6.44 (assume @p70 (forall @t193 (= @t192 @t65))) % 6.13/6.44 (assume @p71 (forall @t194 (= @t13 (tptp.c_List_Oappend @t52 @t13 @t14)))) % 6.13/6.44 (assume @p72 (forall @t193 (= @t65 @t192))) % 6.13/6.44 (assume @p73 (forall (@list @t14 @t64) (= @t195 @t64))) % 6.13/6.44 (assume @p74 (forall (@list @t64 @t14) (= @t64 @t195))) % 6.13/6.44 (assume @p75 (forall @t200 (or (not (= @t199 (tptp.c_Type_Otype_OAtom @t196))) @t198))) % 6.13/6.44 (assume @p76 (forall @t58 (or @t202 (not @t201)))) % 6.13/6.44 (assume @p77 (forall @t58 (or @t202 (not (tptp.c_HOL_Oord__class_Oless @t13 @t10 tptp.tc_nat))))) % 6.13/6.44 (assume @p78 (forall @t206 (or @t205 (not (tptp.c_HOL_Oord__class_Oless @t204 @t4 tptp.tc_nat))))) % 6.13/6.44 (assume @p79 (forall (@list @t167 @t203 @t2) (or (tptp.c_HOL_Oord__class_Oless @t167 (tptp.hAPP @t208 @t2) tptp.tc_nat) @t207))) % 6.13/6.44 (assume @p80 (forall (@list @t167 @t2 @t203) (or (tptp.c_HOL_Oord__class_Oless @t167 (tptp.hAPP @t55 @t203) tptp.tc_nat) @t207))) % 6.13/6.44 (assume @p81 (forall (@list @t14 @t25 @t22) (or @t146 (= @t27 @t33)))) % 6.13/6.44 (assume @p82 (forall @t72 (or @t153 (= @t28 @t35)))) % 6.13/6.44 (assume @p83 (forall @t63 (= @t110 @t209))) % 6.13/6.44 (assume @p84 (forall (@list @t2 @t210 @t4 @t1) (or (not (= (tptp.hAPP @t55 @t210) @t7)) @t211 @t59))) % 6.13/6.44 (assume @p85 (forall @t212 (or @t146 (= @t18 (tptp.hAPP @t131 @t13))))) % 6.13/6.44 (assume @p86 (forall (@list @t14 @t13 @t11 @t37) (or (not (tptp.class_OrderedGroup_Osemigroup__add @t14)) (= (tptp.c_List_Ofoldl @t15 @t18 @t37 @t14 @t14) (tptp.hAPP @t16 (tptp.c_List_Ofoldl @t15 @t11 @t37 @t14 @t14)))))) % 6.13/6.44 (assume @p87 (forall @t215 (or (not (tptp.class_Nat_Osemiring__char__0 @t14)) (not (= @t214 @t213)) @t3))) % 6.13/6.44 (assume @p88 (forall (@list @t219 @t218 @t13 @t223 @t222 @t220 @t217 @t216 @t14) (or (= (tptp.hAPP (tptp.hAPP @t219 (tptp.hAPP @t224 @t223)) @t225) (tptp.hAPP @t224 (tptp.hAPP (tptp.hAPP @t5 @t223) @t222))) @t221))) % 6.13/6.44 (assume @p89 (forall (@list @t1 @t124 @t4) (= (tptp.c_Lambda_Oliftn @t101 @t124 @t4) (tptp.c_Lambda_Olift @t226 @t4)))) % 6.13/6.44 (assume @p90 (forall (@list @t13 @t11) (or (not (= @t99 (tptp.c_Suc @t11))) @t227))) % 6.13/6.44 (assume @p91 (forall @t200 (or (not (= (tptp.c_Suc @t197) @t228)) @t198))) % 6.13/6.44 (assume @p92 (forall (@list @t14 @t65 @t25) (or @t152 (= (tptp.c_List_Ofoldr @t15 @t65 @t25 @t14 @t14) @t229)))) % 6.13/6.44 (assume @p93 (= tptp.v_n____ tptp.v_i____)) % 6.13/6.44 (assume @p94 (tptp.c_HOL_Oord__class_Oless @t93 @t94 tptp.tc_nat)) % 6.13/6.44 (assume @p95 (forall @t233 (or @t232 @t231 @t70))) % 6.13/6.44 (assume @p96 (forall @t233 (or @t232 @t69 @t234))) % 6.13/6.44 (assume @p97 (forall @t233 (or @t235 @t69 @t234))) % 6.13/6.44 (assume @p98 (forall @t233 (or @t235 @t231 @t70))) % 6.13/6.44 (assume @p99 (forall @t63 (or @t111 @t113 @t108))) % 6.13/6.44 (assume @p100 (forall @t63 (or @t111 @t109 @t112))) % 6.13/6.44 (assume @p101 (forall (@list @t14 @t13 @t37) (or @t75 (= (tptp.hAPP @t16 (tptp.c_List_Ofoldl @t15 @t68 @t37 @t14 @t14)) (tptp.c_List_Ofoldl @t15 @t13 @t37 @t14 @t14))))) % 6.13/6.44 (assume @p102 (forall @t240 (or @t239 (tptp.c_HOL_Oord__class_Oless @t68 @t238 @t14) @t237))) % 6.13/6.44 (assume @p103 (forall (@list @t14 @t10 @t11 @t13) (or @t83 @t86 @t90 (not @t88)))) % 6.13/6.44 (assume @p104 (forall @t74 (or (tptp.c_InductTermi_OIT (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t47) @t48) @t44 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) (not (tptp.c_InductTermi_OIT @t48)) (not (tptp.c_InductTermi_OIT (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Osubst @t46 @t48 @t93) @t44 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))))) % 6.13/6.44 (assume @p105 (forall (@list @t106 @t25 @t105 @t14) (= (tptp.c_List_Ofoldl @t106 @t25 @t241 @t14 @t105) @t25))) % 6.13/6.44 (assume @p106 (forall @t171 (or (= (tptp.c_Lambda_Osubstn @t170 @t48 @t4) @t170) @t169 @t168))) % 6.13/6.44 (assume @p107 (forall @t244 (or @t243 @t242))) % 6.13/6.44 (assume @p108 (forall @t244 (or @t243 @t245))) % 6.13/6.44 (assume @p109 (forall (@list @t172 @t246) (or (not (= @t175 @t247)) (= @t172 @t246)))) % 6.13/6.44 (assume @p110 (forall (@list @t249 @t248 @t14) (not (= @t250 @t52)))) % 6.13/6.44 (assume @p111 (forall (@list @t218 @t219 @t13 @t11 @t222 @t220 @t217 @t216 @t14) (or (= (tptp.hAPP (tptp.hAPP @t218 @t253) @t222) (tptp.hAPP @t251 (tptp.hAPP (tptp.hAPP @t218 @t11) @t222))) @t221))) % 6.13/6.44 (assume @p112 (forall (@list @t219 @t13 @t220 @t11 @t10 @t218 @t217 @t216 @t14) (or (= (tptp.hAPP @t252 @t255) (tptp.hAPP (tptp.hAPP @t220 @t253) (tptp.hAPP @t252 @t10))) @t221))) % 6.13/6.44 (assume @p113 (forall (@list @t219 @t13 @t11 @t220 @t218 @t217 @t216 @t14) (or (= @t253 (tptp.hAPP @t256 @t13)) @t221))) % 6.13/6.44 (assume @p114 (forall (@list @t219 @t13 @t11 @t10 @t220 @t218 @t217 @t216 @t14) (or (= (tptp.hAPP @t252 (tptp.hAPP @t256 @t10)) (tptp.hAPP (tptp.hAPP @t219 @t253) @t10)) @t221))) % 6.13/6.44 (assume @p115 (forall (@list @t219 @t216 @t13 @t220 @t218 @t217 @t14) (or (= (tptp.hAPP @t257 @t13) @t13) @t221))) % 6.13/6.44 (assume @p116 (forall (@list @t219 @t217 @t13 @t220 @t218 @t216 @t14) (or (= (tptp.hAPP @t258 @t13) @t217) @t221))) % 6.13/6.44 (assume @p117 (forall (@list @t220 @t13 @t11 @t219 @t218 @t217 @t216 @t14) (or (= @t260 (tptp.hAPP @t254 @t13)) @t221))) % 6.13/6.44 (assume @p118 (forall (@list @t220 @t13 @t11 @t10 @t219 @t218 @t217 @t216 @t14) (or (= (tptp.hAPP @t259 @t255) (tptp.hAPP (tptp.hAPP @t220 @t260) @t10)) @t221))) % 6.13/6.44 (assume @p119 (forall (@list @t220 @t217 @t13 @t219 @t218 @t216 @t14) (or (= (tptp.hAPP @t261 @t13) @t13) @t221))) % 6.13/6.44 (assume @p120 (forall @t268 (or (= @t267 (tptp.hAPP @t264 @t147)) @t221))) % 6.13/6.44 (assume @p121 (forall (@list @t220 @t25 @t22 @t219 @t218 @t217 @t216 @t14) (or (= @t263 (tptp.hAPP @t265 @t25)) @t221))) % 6.13/6.44 (assume @p122 (forall @t272 (or (= @t271 (tptp.hAPP @t264 @t23)) @t221))) % 6.13/6.44 (assume @p123 (forall @t268 (or (= @t267 (tptp.hAPP @t265 (tptp.hAPP @t262 @t147))) @t221))) % 6.13/6.44 (assume @p124 (forall @t272 (or (= @t271 (tptp.hAPP @t262 (tptp.hAPP @t273 @t22))) @t221))) % 6.13/6.44 (assume @p125 (forall (@list @t220 @t25 @t23 @t22 @t147 @t219 @t218 @t217 @t216 @t14) (or (= (tptp.hAPP @t270 @t266) (tptp.hAPP @t264 (tptp.hAPP @t273 @t147))) @t221))) % 6.13/6.44 (assume @p126 (forall @t281 (or (= @t280 (tptp.hAPP @t278 (tptp.hAPP @t276 @t274))) @t221))) % 6.13/6.44 (assume @p127 (forall @t281 (or (= @t280 (tptp.hAPP @t282 @t274)) @t221))) % 6.13/6.44 (assume @p128 (forall @t287 (or (= @t286 (tptp.hAPP @t276 (tptp.hAPP @t284 @t277))) @t221))) % 6.13/6.44 (assume @p129 (forall @t287 (or (= @t286 (tptp.hAPP @t282 @t283)) @t221))) % 6.13/6.44 (assume @p130 (forall @t289 (or (= @t288 (tptp.hAPP @t278 (tptp.hAPP @t285 @t274))) @t221))) % 6.13/6.44 (assume @p131 (forall @t289 (or (= @t288 (tptp.hAPP @t276 (tptp.hAPP @t284 @t279))) @t221))) % 6.13/6.44 (assume @p132 (forall @t289 (or (= @t288 (tptp.hAPP @t282 (tptp.hAPP @t284 @t274))) @t221))) % 6.13/6.44 (assume @p133 (forall (@list @t219 @t25 @t216 @t220 @t218 @t217 @t14) (or (= (tptp.hAPP @t290 @t216) @t25) @t221))) % 6.13/6.44 (assume @p134 (forall (@list @t219 @t216 @t25 @t220 @t218 @t217 @t14) (or (= (tptp.hAPP @t257 @t25) @t25) @t221))) % 6.13/6.44 (assume @p135 (forall (@list @t219 @t25 @t217 @t220 @t218 @t216 @t14) (or (= (tptp.hAPP @t290 @t217) @t217) @t221))) % 6.13/6.44 (assume @p136 (forall (@list @t219 @t217 @t25 @t220 @t218 @t216 @t14) (or (= (tptp.hAPP @t258 @t25) @t217) @t221))) % 6.13/6.44 (assume @p137 (forall (@list @t219 @t220 @t25 @t23 @t22 @t218 @t217 @t216 @t14) (or (= (tptp.hAPP @t292 @t22) (tptp.hAPP (tptp.hAPP @t220 (tptp.hAPP @t290 @t22)) (tptp.hAPP @t291 @t22))) @t221))) % 6.13/6.44 (assume @p138 (forall (@list @t219 @t25 @t23 @t220 @t218 @t217 @t216 @t14) (or (= (tptp.hAPP @t290 @t23) (tptp.hAPP @t291 @t25)) @t221))) % 6.13/6.44 (assume @p139 (forall (@list @t220 @t25 @t217 @t219 @t218 @t216 @t14) (or (= (tptp.hAPP @t262 @t217) @t25) @t221))) % 6.13/6.44 (assume @p140 (forall (@list @t220 @t217 @t25 @t219 @t218 @t216 @t14) (or (= (tptp.hAPP @t261 @t25) @t25) @t221))) % 6.13/6.44 (assume @p141 (forall (@list @t220 @t2 @t219 @t216 @t218 @t217 @t14) (or (= (tptp.hAPP @t293 @t2) (tptp.hAPP (tptp.hAPP @t219 (tptp.hAPP (tptp.hAPP @t220 @t216) @t216)) @t2)) @t221))) % 6.13/6.44 (assume @p142 (forall (@list @t220 @t2 @t219 @t25 @t216 @t218 @t217 @t14) (or (= (tptp.hAPP @t293 @t295) @t294) @t221))) % 6.13/6.44 (assume @p143 (forall (@list @t220 @t219 @t25 @t2 @t216 @t218 @t217 @t14) (or (= (tptp.hAPP @t296 @t2) @t294) @t221))) % 6.13/6.44 (assume @p144 (forall (@list @t220 @t219 @t25 @t2 @t23 @t218 @t217 @t216 @t14) (or (= (tptp.hAPP @t296 (tptp.hAPP @t291 @t2)) (tptp.hAPP @t292 @t2)) @t221))) % 6.13/6.44 (assume @p145 (forall (@list @t116 @t177 @t176 @t297) (or (not (tptp.hBOOL (tptp.hAPP @t116 (tptp.c_Type_Otype_Otype__case @t177 @t176 (tptp.c_Type_Otype_OAtom @t297) tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t116 (tptp.hAPP @t177 @t297)))))) % 6.13/6.44 (assume @p146 (forall (@list @t116 @t177 @t176 @t197) (or (not (tptp.hBOOL (tptp.hAPP @t116 (tptp.c_Type_Otype_Otype__case @t177 @t176 @t199 tptp.t_a)))) @t299))) % 6.13/6.44 (assume @p147 (forall @t63 (or @t300 @t113 @t112))) % 6.13/6.44 (assume @p148 (forall @t63 (or @t300 @t109 @t108))) % 6.13/6.44 (assume @p149 (forall @t78 (or (tptp.c_InductTermi_OIT @t47) @t301))) % 6.13/6.44 (assume @p150 (forall (@list @t14 @t25 @t23 @t22 @t147) (or @t146 (= (tptp.hAPP @t143 @t148) (tptp.hAPP @t151 @t302))))) % 6.13/6.44 (assume @p151 (forall @t303 (= (tptp.c_Nat_Osize__class_Osize @t175 tptp.tc_Lambda_OdB) (tptp.hAPP (tptp.hAPP @t5 (tptp.c_Nat_Osize__class_Osize @t172 tptp.tc_Lambda_OdB)) @t94)))) % 6.13/6.44 (assume @p152 (forall (@list @t14 @t2) (or @t239 (not (tptp.c_HOL_Oord__class_Oless @t214 @t68 @t14))))) % 6.13/6.44 (assume @p153 (forall @t212 (or @t83 (= @t79 (tptp.c_Orderings_Oord__class_Omax @t11 @t13 @t14))))) % 6.13/6.44 (assume @p154 (forall @t306 (or (= @t305 @t170) @t304))) % 6.13/6.44 (assume @p155 (forall @t194 (= @t307 @t52))) % 6.13/6.44 (assume @p156 (forall @t78 (= @t77 @t47))) % 6.13/6.44 (assume @p157 (forall (@list @t13 @t124 @t14) (not (= (tptp.c_List_Olist_OCons @t13 @t124 @t14) @t124)))) % 6.13/6.44 (assume @p158 (forall (@list @t65 @t13 @t14) (not (= @t65 @t67)))) % 6.13/6.44 (assume @p159 (forall @t122 (or @t121 (= (tptp.c_Lambda_Osubstn @t120 @t48 @t13) (tptp.c_Lambda_Oliftn @t13 @t48 @t93))))) % 6.13/6.44 (assume @p160 (forall @t100 (or @t121 @t308))) % 6.13/6.44 (assume @p161 (forall @t63 (or @t60 @t310))) % 6.13/6.44 (assume @p162 (forall @t140 (or @t309 @t59))) % 6.13/6.44 (assume @p163 (forall (@list @t13 @t65 @t14) (= @t67 @t311))) % 6.13/6.44 (assume @p164 (forall @t21 (or @t312 (= (tptp.hAPP (tptp.hAPP @t15 @t79) @t10) (tptp.c_Orderings_Oord__class_Omax @t17 @t132 @t14))))) % 6.13/6.44 (assume @p165 (forall @t21 (or @t83 (= (tptp.c_Orderings_Oord__class_Omax @t79 @t10 @t14) @t313)))) % 6.13/6.44 (assume @p166 (forall @t21 (or @t83 (= @t313 (tptp.c_Orderings_Oord__class_Omax @t11 (tptp.c_Orderings_Oord__class_Omax @t13 @t10 @t14) @t14))))) % 6.13/6.44 (assume @p167 (forall @t76 (= @t52 @t314))) % 6.13/6.44 (assume @p168 (forall @t318 (or (tptp.c_Lambda_Obeta @t317 @t316) @t315))) % 6.13/6.44 (assume @p169 (forall @t212 (or @t83 (= (tptp.c_Orderings_Oord__class_Omax @t13 @t79 @t14) @t79)))) % 6.13/6.44 (assume @p170 (forall (@list @t167 @t13 @t14) (= (tptp.c_List_Oappend @t319 @t320 @t14) (tptp.c_List_Olist_OCons @t13 @t319 @t14)))) % 6.13/6.44 (assume @p171 (forall (@list @t106 @t25 @t65 @t64 @t105 @t14) (= (tptp.c_List_Ofoldl @t106 @t25 @t321 @t14 @t105) (tptp.c_List_Ofoldl @t106 (tptp.c_List_Ofoldl @t106 @t25 @t65 @t14 @t105) @t64 @t14 @t105)))) % 6.13/6.44 (assume @p172 (forall @t322 (= (tptp.c_Type_Otype_Otype__case @t177 @t176 @t199 @t14) @t298))) % 6.13/6.44 (assume @p173 (forall (@list @t13 @t1) (or (tptp.c_HOL_Oord__class_Oless @t99 @t101 tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless @t13 @t1 tptp.tc_nat))))) % 6.13/6.44 (assume @p174 (forall @t63 (or @t59 (not @t323)))) % 6.13/6.44 (assume @p175 (forall @t63 (or @t323 @t60))) % 6.13/6.44 (assume @p176 (forall @t63 (or @t137 @t324))) % 6.13/6.44 (assume @p177 (forall @t63 (or @t137 (not @t138)))) % 6.13/6.44 (assume @p178 (forall @t233 (or @t232 @t236 (not @t325)))) % 6.13/6.44 (assume @p179 (forall @t233 (or @t232 @t325 @t237))) % 6.13/6.44 (assume @p180 (forall (@list @t118 @t125 @t124) (or (= @t118 (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t328) @t327)) @t326))) % 6.13/6.44 (assume @p181 (forall @t240 (or @t333 @t332 @t331 @t186 @t330 @t329))) % 6.13/6.44 (assume @p182 (forall @t240 (or (not (tptp.class_Ring__and__Field_Oring__1__no__zero__divisors @t14)) @t330 @t329))) % 6.13/6.44 (assume @p183 (forall @t233 (or @t232 (not (= @t230 @t68)) @t329))) % 6.13/6.44 (assume @p184 (forall (@list @t14 @t13 @t25) (or @t20 @t19 (not (= @t13 (tptp.hAPP @t16 @t25))) @t329))) % 6.13/6.44 (assume @p185 (forall @t76 (or @t232 (= (tptp.hAPP @t334 @t68) @t68)))) % 6.13/6.44 (assume @p186 (forall @t335 (or @t146 (= (tptp.hAPP @t334 @t13) @t13)))) % 6.13/6.44 (assume @p187 (forall @t233 (or @t153 @t336))) % 6.13/6.44 (assume @p188 (forall @t335 (or @t20 @t19 (= @t13 (tptp.hAPP @t16 @t68))))) % 6.13/6.44 (assume @p189 (forall @t233 (or @t153 @t337))) % 6.13/6.44 (assume @p190 (forall @t233 (or @t75 @t336))) % 6.13/6.44 (assume @p191 (forall @t233 (or @t75 @t337))) % 6.13/6.44 (assume @p192 (forall @t233 (or @t146 @t337))) % 6.13/6.44 (assume @p193 (forall @t233 (or @t146 @t336))) % 6.13/6.44 (assume @p194 (not (tptp.c_HOL_Oord__class_Oless @t93 @t93 tptp.tc_nat))) % 6.13/6.44 (assume @p195 (forall (@list @t124 @t4) (= (tptp.c_Lambda_Oliftn @t93 @t124 @t4) @t124))) % 6.13/6.44 (assume @p196 (forall @t102 (or @t139 @t112))) % 6.13/6.44 (assume @p197 (forall @t338 (not (= @t61 @t93)))) % 6.13/6.44 (assume @p198 (forall @t339 (not (= @t228 @t93)))) % 6.13/6.44 (assume @p199 (forall @t63 (or @t340 @t112))) % 6.13/6.44 (assume @p200 (forall @t63 (or @t340 @t109))) % 6.13/6.44 (assume @p201 (forall (@list @t13 @t25) (or (not (= @t13 (tptp.hAPP @t56 @t25))) (= @t25 @t93)))) % 6.13/6.44 (assume @p202 (forall @t63 (or (not (= @t110 @t2)) @t112))) % 6.13/6.44 (assume @p203 (forall @t338 (not (= @t93 @t61)))) % 6.13/6.44 (assume @p204 (forall @t339 (not (= @t93 @t228)))) % 6.13/6.44 (assume @p205 (= (tptp.hAPP @t114 @t93) @t93)) % 6.13/6.44 (assume @p206 (forall @t338 (not (tptp.c_HOL_Oord__class_Oless @t2 @t93 tptp.tc_nat)))) % 6.13/6.44 (assume @p207 (forall @t102 (not (tptp.c_HOL_Oord__class_Oless @t1 @t93 tptp.tc_nat)))) % 6.13/6.44 (assume @p208 (forall (@list @t13 @t14 @t11) (= @t307 (tptp.c_List_Oreplicate @t93 @t11 @t14)))) % 6.13/6.44 (assume @p209 (forall @t102 (= (tptp.c_Orderings_Oord__class_Omax @t1 @t93 tptp.tc_nat) @t1))) % 6.13/6.44 (assume @p210 (forall @t342 (or @t341 @t242))) % 6.13/6.44 (assume @p211 (forall @t342 (or @t341 @t245))) % 6.13/6.44 (assume @p212 (forall @t63 (or @t3 @t59 (not @t343)))) % 6.13/6.44 (assume @p213 (forall @t63 (or @t3 @t310 @t344))) % 6.13/6.44 (assume @p214 (forall @t140 (or (= @t1 @t2) @t310 @t344))) % 6.13/6.44 (assume @p215 (forall @t74 (or @t73 @t45))) % 6.13/6.44 (assume @p216 (forall @t322 (= (tptp.c_Type_Otype_Otype__rec @t177 @t176 @t199 @t14) @t298))) % 6.13/6.44 (assume @p217 (forall (@list @t46 @t44 @t48) (or (tptp.c_Lambda_Obeta (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t46 @t44 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) @t49) @t179))) % 6.13/6.44 (assume @p218 (forall @t335 (= @t52 @t307))) % 6.13/6.44 (assume @p219 (= @t94 @t180)) % 6.13/6.44 (assume @p220 (forall @t100 (not @t121))) % 6.13/6.44 (assume @p221 (forall @t102 (not (tptp.c_HOL_Oord__class_Oless @t1 @t1 tptp.tc_nat)))) % 6.13/6.44 (assume @p222 (forall @t335 (or @t159 @t345))) % 6.13/6.44 (assume @p223 (forall @t335 (or @t83 @t345))) % 6.13/6.44 (assume @p224 (forall @t335 (or @t163 @t345))) % 6.13/6.44 (assume @p225 (forall @t306 (or (= @t305 (tptp.c_Lambda_OdB_OVar (tptp.hAPP @t190 @t1))) @t205))) % 6.13/6.44 (assume @p226 (forall @t318 (tptp.c_Lambda_Obeta @t346 (tptp.c_Lambda_Osubst @t48 @t124 @t93)))) % 6.13/6.44 (assume @p227 (forall @t72 (or @t71 (tptp.c_HOL_Oord__class_Oless @t68 @t28 @t14) (not (tptp.c_HOL_Oord__class_Oless @t68 @t23 @t14)) @t237))) % 6.13/6.44 (assume @p228 (forall @t347 (or @t75 (= (tptp.c_List_Olistsum @t67 @t14) (tptp.hAPP @t16 @t165))))) % 6.13/6.44 (assume @p229 (forall @t348 (or @t235 @t157 @t160 @t227))) % 6.13/6.44 (assume @p230 (forall @t212 (or @t83 @t227 @t157 @t160))) % 6.13/6.44 (assume @p231 (forall @t140 (or @t344 @t59 @t3))) % 6.13/6.44 (assume @p232 (forall (@list @t116 @t1 @t2) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t116 @t1) @t2)) @t344 @t3 @t59))) % 6.13/6.44 (assume @p233 (forall (@list @t11 @t13) (or (tptp.c_HOL_Oord__class_Oless @t11 @t13 tptp.tc_nat) @t201 @t227))) % 6.13/6.44 (assume @p234 (forall @t348 (or @t83 @t157 @t160 @t227))) % 6.13/6.44 (assume @p235 (forall (@list @t1 @t13 @t14 @t4) (= (tptp.c_List_Oappend @t135 @t349 @t14) (tptp.c_List_Oappend @t349 @t135 @t14)))) % 6.13/6.44 (assume @p236 (forall @t348 (or @t83 @t157 @t227 @t160))) % 6.13/6.44 (assume @p237 (forall @t212 (or @t83 @t227 @t160 @t157))) % 6.13/6.44 (assume @p238 (forall @t335 (or @t83 (= (tptp.c_Orderings_Oord__class_Omax @t13 @t13 @t14) @t13)))) % 6.13/6.44 (assume @p239 (forall (@list @t14 @t25 @t22 @t23 @t147) (or @t352 (tptp.c_HOL_Oord__class_Oless @t27 @t302 @t14) (not (tptp.c_HOL_Oord__class_Oless @t22 @t147 @t14)) @t351))) % 6.13/6.44 (assume @p240 (forall (@list @t167 @t4 @t203 @t210) (or (tptp.c_HOL_Oord__class_Oless @t353 (tptp.hAPP @t208 @t210) tptp.tc_nat) @t211 @t207))) % 6.13/6.44 (assume @p241 (forall @t357 (or @t356 @t355))) % 6.13/6.44 (assume @p242 (forall @t357 (or @t356 @t358))) % 6.13/6.44 (assume @p243 (forall @t51 (or @t50 (= @t48 @t47)))) % 6.13/6.44 (assume @p244 (forall (@list @t14 @t249 @t248) (not (= @t52 @t250)))) % 6.13/6.44 (assume @p245 (forall @t215 (or @t239 @t359 @t60))) % 6.13/6.44 (assume @p246 (forall @t215 (or @t239 @t59 (not @t359)))) % 6.13/6.44 (assume @p247 (forall @t102 (tptp.c_HOL_Oord__class_Oless @t1 @t101 tptp.tc_nat))) % 6.13/6.44 (assume @p248 (forall @t100 @t308)) % 6.13/6.44 (assume @p249 (forall @t206 (or (tptp.c_HOL_Oord__class_Oless @t360 @t4 tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless @t203 @t4 tptp.tc_nat)) @t207))) % 6.13/6.44 (assume @p250 (forall (@list @t46 @t48 @t124) (or (not (= @t361 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t124 @t43 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) (= @t361 @t124)))) % 6.13/6.44 (assume @p251 (forall (@list @t219 @t13 @t218 @t222 @t220 @t217 @t216 @t14) (or (= @t363 @t362) @t221))) % 6.13/6.44 (assume @p252 (forall (@list @t219 @t218 @t13 @t222 @t220 @t217 @t216 @t14) (or (= (tptp.hAPP @t251 @t13) @t362) @t221))) % 6.13/6.44 (assume @p253 (forall (@list @t218 @t13 @t222 @t219 @t220 @t217 @t216 @t14) (or (= @t362 @t363) @t221))) % 6.13/6.44 (assume @p254 (forall (@list @t218 @t13 @t1 @t219 @t220 @t217 @t216 @t14) (or (= (tptp.hAPP @t224 @t101) (tptp.hAPP @t252 (tptp.hAPP @t224 @t1))) @t221))) % 6.13/6.44 (assume @p255 (forall (@list @t1 @t2 @t13 @t14) (= (tptp.c_List_Oreplicate @t209 @t13 @t14) (tptp.c_List_Oappend @t135 @t181 @t14)))) % 6.13/6.44 (assume @p256 (forall @t188 (or @t239 @t364 @t324))) % 6.13/6.44 (assume @p257 (forall @t188 (or @t239 @t139 (not @t364)))) % 6.13/6.44 (assume @p258 (forall @t136 (or (not (= @t135 @t52)) @t112))) % 6.13/6.44 (assume @p259 (forall @t178 (= (tptp.c_Lambda_OdB_OdB__rec @t177 @t176 @t173 @t175 @t14) (tptp.hAPP @t174 (tptp.c_Lambda_OdB_OdB__rec @t177 @t176 @t173 @t172 @t14))))) % 6.13/6.44 (assume @p260 (forall (@list @t14 @t1 @t13) (or (not (= @t52 @t135)) @t112))) % 6.13/6.44 (assume @p261 (forall @t129 (or (tptp.c_Type_Otypings @t125 @t123 @t365) @t127))) % 6.13/6.44 (assume @p262 (forall (@list @t124 @t48) (= (tptp.c_Lambda_Osubstn @t124 @t48 @t93) (tptp.c_Lambda_Osubst @t124 @t48 @t93)))) % 6.13/6.44 (assume @p263 (forall @t36 (or @t239 (tptp.c_HOL_Oord__class_Oless @t23 @t27 @t14) (not (tptp.c_HOL_Oord__class_Oless @t23 @t22 @t14)) @t237))) % 6.13/6.44 (assume @p264 (forall (@list @t203 @t130 @t167) (or (= (tptp.c_Lambda_Osubst @t367 @t130 @t167) @t367) @t366))) % 6.13/6.44 (assume @p265 (forall (@list @t116 @t177 @t176 @t173 @t172) (or (not (tptp.hBOOL (tptp.hAPP @t116 (tptp.c_Lambda_OdB_OdB__case @t177 @t176 @t173 @t175 tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t116 @t174))))) % 6.13/6.44 (assume @p266 (forall (@list @t116 @t177 @t176 @t173 @t38) (or (not (tptp.hBOOL (tptp.hAPP @t116 (tptp.c_Lambda_OdB_OdB__case @t177 @t176 @t173 (tptp.c_Lambda_OdB_OAbs @t38) tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t116 (tptp.hAPP @t173 @t38)))))) % 6.13/6.44 (assume @p267 (forall (@list @t46 @t167 @t203) (or (tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst @t46 @t170 @t203)) @t301))) % 6.13/6.44 (assume @p268 (forall (@list @t167 @t203) (not (tptp.c_HOL_Oord__class_Oless @t204 @t167 tptp.tc_nat)))) % 6.13/6.44 (assume @p269 (forall (@list @t203 @t167) (not (tptp.c_HOL_Oord__class_Oless (tptp.hAPP @t208 @t167) @t167 tptp.tc_nat)))) % 6.13/6.44 (assume @p270 (forall @t342 (or (not (= @t66 @t65)) @t245))) % 6.13/6.44 (assume @p271 (forall @t342 (or (not (= @t65 @t66)) @t245))) % 6.13/6.44 (assume @p272 (forall @t342 (or (not (= @t66 @t64)) @t242))) % 6.13/6.44 (assume @p273 (forall (@list @t64 @t65 @t14) (or (not (= @t64 @t66)) @t242))) % 6.13/6.44 (assume @p274 (forall @t347 (= @t311 @t67))) % 6.13/6.44 (assume @p275 (forall @t102 (not (= @t101 @t1)))) % 6.13/6.44 (assume @p276 (forall @t102 (not (= @t1 @t101)))) % 6.13/6.44 (assume @p277 (forall @t369 (or @t352 @t368 @t351))) % 6.13/6.44 (assume @p278 (forall @t369 (or @t312 @t368 @t351))) % 6.13/6.44 (assume @p279 (forall @t30 (or @t312 @t350 (not @t368)))) % 6.13/6.44 (assume @p280 (forall @t371 (or @t352 @t370 @t351))) % 6.13/6.44 (assume @p281 (forall @t371 (or @t312 @t370 @t351))) % 6.13/6.44 (assume @p282 (forall @t30 (or @t312 @t350 (not @t370)))) % 6.13/6.44 (assume @p283 (forall @t206 (or (tptp.c_HOL_Oord__class_Oless @t353 (tptp.hAPP @t208 @t4) tptp.tc_nat) @t207))) % 6.13/6.44 (assume @p284 (forall @t154 (or @t59 (not @t372)))) % 6.13/6.44 (assume @p285 (forall @t9 (or @t372 @t60))) % 6.13/6.44 (assume @p286 (forall @t375 (or @t374 (= @t25 @t249)))) % 6.13/6.44 (assume @p287 (forall @t375 (or @t374 (= @t373 @t248)))) % 6.13/6.44 (assume @p288 (= @t115 @t94)) % 6.13/6.44 (assume @p289 (forall (@list @t1 @t13 @t14 @t65) (= (tptp.c_List_Oappend @t135 @t67 @t14) (tptp.c_List_Olist_OCons @t13 (tptp.c_List_Oappend @t135 @t65 @t14) @t14)))) % 6.13/6.44 (assume @p290 (forall @t63 (or @t59 (not @t62)))) % 6.13/6.44 (assume @p291 (forall @t63 (or @t343 @t60))) % 6.13/6.44 (assume @p292 (forall @t215 (or @t376 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t110 @t14) (tptp.hAPP (tptp.hAPP @t15 @t214) @t213))))) % 6.13/6.44 (assume @p293 (forall @t244 (or @t75 (= (tptp.c_List_Olistsum @t66 @t14) (tptp.hAPP (tptp.hAPP @t15 @t165) (tptp.c_List_Olistsum @t64 @t14)))))) % 6.13/6.44 (assume @p294 (forall @t378 (or @t377 (= @t65 @t64)))) % 6.13/6.44 (assume @p295 (forall @t378 (or @t377 @t227))) % 6.13/6.44 (assume @p296 (forall (@list @t46 @t48) (= @t361 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t361 @t43 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 6.13/6.44 (assume @p297 (forall @t63 (or @t300 @t113 @t108))) % 6.13/6.44 (assume @p298 (forall @t63 (or @t300 @t109 @t112))) % 6.13/6.44 (assume @p299 (forall @t98 (= (tptp.c_Lambda_OdB_OdB__size @t97) (tptp.hAPP (tptp.hAPP @t5 (tptp.hAPP (tptp.hAPP @t5 (tptp.c_Lambda_OdB_OdB__size @t96)) (tptp.c_Lambda_OdB_OdB__size @t95))) @t94)))) % 6.13/6.44 (assume @p300 (forall @t76 (= @t314 @t52))) % 6.13/6.44 (assume @p301 (forall @t303 (= (tptp.c_Lambda_OdB_OdB__size @t175) (tptp.hAPP (tptp.hAPP @t5 (tptp.c_Lambda_OdB_OdB__size @t172)) @t94)))) % 6.13/6.44 (assume @p302 (forall @t185 (= (tptp.c_List_Oappend @t66 @t37 @t14) (tptp.c_List_Oappend @t65 (tptp.c_List_Oappend @t64 @t37 @t14) @t14)))) % 6.13/6.44 (assume @p303 (forall (@list @t65 @t42 @t379 @t14) (= (tptp.c_List_Oappend @t65 (tptp.c_List_Oappend @t42 @t379 @t14) @t14) (tptp.c_List_Oappend (tptp.c_List_Oappend @t65 @t42 @t14) @t379 @t14)))) % 6.13/6.44 (assume @p304 (forall (@list @t37 @t13 @t14 @t64) (= (tptp.c_List_Oappend (tptp.c_List_Oappend @t37 @t13 @t14) @t64 @t14) (tptp.c_List_Oappend @t37 (tptp.c_List_Oappend @t13 @t64 @t14) @t14)))) % 6.13/6.44 (assume @p305 (forall (@list @t65 @t13 @t123 @t14) (= (tptp.c_List_Oappend @t65 (tptp.c_List_Oappend @t13 @t123 @t14) @t14) (tptp.c_List_Oappend (tptp.c_List_Oappend @t65 @t13 @t14) @t123 @t14)))) % 6.13/6.44 (assume @p306 (forall @t72 (or @t159 @t351 @t380))) % 6.13/6.44 (assume @p307 (forall @t212 (or @t83 @t161 @t158))) % 6.13/6.44 (assume @p308 (forall @t348 (or @t163 @t158 @t161))) % 6.13/6.44 (assume @p309 (forall (@list @t14 @t23 @t25) (or @t163 @t380 @t351))) % 6.13/6.44 (assume @p310 (forall @t102 (= (tptp.c_Orderings_Oord__class_Omax @t93 @t1 tptp.tc_nat) @t1))) % 6.13/6.44 (assume @p311 (forall @t183 (or @t182 @t227 @t109))) % 6.13/6.44 (assume @p312 (forall @t100 (= @t13 (tptp.hAPP @t56 @t93)))) % 6.13/6.44 (assume @p313 (forall @t102 (= (tptp.hAPP @t114 @t1) @t1))) % 6.13/6.44 (assume @p314 (forall @t338 (= (tptp.hAPP @t55 @t93) @t2))) % 6.13/6.44 (assume @p315 (forall (@list @t218 @t13 @t216 @t220 @t219 @t217 @t14) (or (= (tptp.hAPP @t224 @t93) @t216) @t221))) % 6.13/6.44 (assume @p316 (forall @t383 (= (tptp.c_Lambda_Osubst @t382 @t48 @t4) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Osubst @t124 @t48 @t4)) (tptp.c_Lambda_Osubst @t130 @t48 @t4))))) % 6.13/6.44 (assume @p317 (forall (@list @t96 @t95 @t246) (not (= @t97 @t247)))) % 6.13/6.44 (assume @p318 (forall (@list @t246 @t96 @t95) (not (= @t247 @t97)))) % 6.13/6.44 (assume @p319 (forall (@list @t116 @t177 @t176 @t173 @t384 @t297) (or (not (tptp.hBOOL (tptp.hAPP @t116 (tptp.c_Lambda_OdB_OdB__case @t177 @t176 @t173 (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t384) @t297) tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t116 (tptp.hAPP (tptp.hAPP @t176 @t384) @t297)))))) % 6.13/6.44 (assume @p320 (forall (@list @t116 @t177 @t176 @t173 @t96 @t95) (or (not (tptp.hBOOL (tptp.hAPP @t116 (tptp.c_Lambda_OdB_OdB__case @t177 @t176 @t173 @t97 tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t116 @t385))))) % 6.13/6.44 (assume @p321 (forall @t386 (= (tptp.c_Lambda_OdB_OdB__case @t177 @t176 @t173 @t97 @t14) @t385))) % 6.13/6.44 (assume @p322 (forall @t386 (= (tptp.c_Lambda_OdB_OdB__rec @t177 @t176 @t173 @t97 @t14) (tptp.hAPP (tptp.hAPP @t385 (tptp.c_Lambda_OdB_OdB__rec @t177 @t176 @t173 @t96 @t14)) (tptp.c_Lambda_OdB_OdB__rec @t177 @t176 @t173 @t95 @t14))))) % 6.13/6.44 (assume @p323 (forall (@list @t46 @t123 @t48) (or (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t46 @t123 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t48 @t123 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) @t358))) % 6.13/6.44 (assume @p324 (forall (@list @t130 @t48 @t124) (or (tptp.c_Lambda_Obeta (tptp.hAPP @t387 @t48) (tptp.hAPP @t387 @t124)) @t315))) % 6.13/6.44 (assume @p325 (forall (@list @t48 @t130 @t124) (or (tptp.c_Lambda_Obeta (tptp.hAPP @t388 @t130) @t382) @t315))) % 6.13/6.44 (assume @p326 (forall (@list @t1 @t48 @t124 @t4) (= (tptp.c_Lambda_Oliftn @t1 @t389 @t4) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Oliftn @t1 @t48 @t4)) @t226)))) % 6.13/6.44 (assume @p327 (forall @t383 (= (tptp.c_Lambda_Osubstn @t382 @t48 @t4) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Osubstn @t124 @t48 @t4)) (tptp.c_Lambda_Osubstn @t130 @t48 @t4))))) % 6.13/6.44 (assume @p328 (forall (@list @t1 @t123 @t46 @t44) (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t390 @t123 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t47 @t44 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))))) % 6.13/6.44 (assume @p329 (forall @t338 (= @t391 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t391 @t43 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 6.13/6.44 (assume @p330 (forall @t393 (or @t392 @t45))) % 6.13/6.44 (assume @p331 (forall (@list @t48 @t124 @t1 @t44) (not (= @t346 @t394)))) % 6.13/6.44 (assume @p332 (forall @t166 (or @t75 (= @t165 @t395)))) % 6.13/6.44 (assume @p333 (forall @t166 (or @t75 (= @t164 @t395)))) % 6.13/6.44 (assume @p334 (forall (@list @t14 @t25 @t65) (or @t75 (= @t229 (tptp.hAPP @t26 @t395))))) % 6.13/6.44 (assume @p335 (forall (@list @t125 @t123 @t118 @t167) (or (tptp.c_Type_Otypings @t125 @t123 @t398) @t397))) % 6.13/6.44 (assume @p336 (forall (@list @t125 @t379 @t118 @t402 @t167 @t123 @t400) (or (tptp.c_Type_Otypings @t125 @t379 @t404) @t403 @t401 @t399))) % 6.13/6.44 (assume @p337 (forall (@list @t246 @t197) (not (= @t247 @t405)))) % 6.13/6.44 (assume @p338 (forall (@list @t116 @t177 @t176 @t173 @t406) (or (not (tptp.hBOOL (tptp.hAPP @t116 (tptp.c_Lambda_OdB_OdB__case @t177 @t176 @t173 (tptp.c_Lambda_OdB_OVar @t406) tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t116 (tptp.hAPP @t177 @t406)))))) % 6.13/6.44 (assume @p339 (forall (@list @t116 @t177 @t176 @t173 @t197) (or (not (tptp.hBOOL (tptp.hAPP @t116 (tptp.c_Lambda_OdB_OdB__case @t177 @t176 @t173 @t405 tptp.t_a)))) @t299))) % 6.13/6.44 (assume @p340 (forall (@list @t4 @t130) (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OVar @t4) @t130 @t4) @t130))) % 6.13/6.44 (assume @p341 (forall (@list @t167 @t124) (not (tptp.c_Lambda_Obeta @t170 @t124)))) % 6.13/6.44 (assume @p342 (forall @t407 (= (tptp.c_Lambda_OdB_OdB__rec @t177 @t176 @t173 @t405 @t14) @t298))) % 6.13/6.44 (assume @p343 (forall (@list @t197 @t246) (not (= @t405 @t247)))) % 6.13/6.44 (assume @p344 (forall @t102 (tptp.c_InductTermi_OIT @t390))) % 6.13/6.44 (assume @p345 (forall @t407 (= (tptp.c_Lambda_OdB_OdB__case @t177 @t176 @t173 @t405 @t14) @t298))) % 6.13/6.44 (assume @p346 (tptp.c_Type_Otypings @t408 tptp.v_as____ tptp.v_Ts____)) % 6.13/6.44 (assume @p347 (forall (@list @t125 @t410 @t118 @t124) (or (tptp.c_Type_Otyping @t125 @t410 @t118) (not (tptp.c_Lambda_Obeta @t124 @t410)) @t409))) % 6.13/6.44 (assume @p348 (forall (@list @t125 @t124 @t118) (or (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t125 @t93 (tptp.c_Type_Osko__Type__Xabs__typeE__1__1 @t125 @t124) tptp.tc_Type_Otype) @t124 (tptp.c_Type_Osko__Type__Xabs__typeE__1__2 @t125 @t124)) @t326))) % 6.13/6.44 (assume @p349 (forall (@list @t125 @t118 @t124) (or (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t125 @t93 @t328 tptp.tc_Type_Otype) @t124 @t327) @t326))) % 6.13/6.44 (assume @p350 (forall (@list @t412 @t411 @t197) (not (= @t413 @t199)))) % 6.13/6.44 (assume @p351 (forall (@list @t116 @t415 @t414 @t118) (or (not (= @t117 @t416)) @t119 (tptp.hBOOL (tptp.hAPP @t116 @t414))))) % 6.13/6.44 (assume @p352 (forall (@list @t116 @t417 @t13 @t118) (or (not (= @t117 (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t417) @t13))) @t119 (tptp.hBOOL (tptp.hAPP @t116 @t417))))) % 6.13/6.44 (assume @p353 (forall @t422 (= (tptp.c_Type_Otype_Otype__rec @t177 @t176 @t421 @t14) (tptp.hAPP (tptp.hAPP @t420 (tptp.c_Type_Otype_Otype__rec @t177 @t176 @t419 @t14)) (tptp.c_Type_Otype_Otype__rec @t177 @t176 @t418 @t14))))) % 6.13/6.44 (assume @p354 (forall @t422 (= (tptp.c_Type_Otype_Otype__case @t177 @t176 @t421 @t14) @t420))) % 6.13/6.44 (assume @p355 (forall (@list @t116 @t177 @t176 @t38 @t384) (or (not (tptp.hBOOL (tptp.hAPP @t116 (tptp.c_Type_Otype_Otype__case @t177 @t176 (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t38) @t384) tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t116 (tptp.hAPP (tptp.hAPP @t176 @t38) @t384)))))) % 6.13/6.44 (assume @p356 (forall (@list @t116 @t177 @t176 @t419 @t418) (or (not (tptp.hBOOL (tptp.hAPP @t116 (tptp.c_Type_Otype_Otype__case @t177 @t176 @t421 tptp.t_a)))) (tptp.hBOOL (tptp.hAPP @t116 @t420))))) % 6.13/6.44 (assume @p357 (forall (@list @t197 @t412 @t411) (not (= @t199 @t413)))) % 6.13/6.44 (assume @p358 (forall (@list @t106 @t13 @t65 @t105 @t25 @t14) (= (tptp.c_List_Ofoldr @t106 @t107 @t25 @t105 @t14) (tptp.hAPP (tptp.hAPP @t106 @t13) (tptp.c_List_Ofoldr @t106 @t65 @t25 @t105 @t14))))) % 6.13/6.44 (assume @p359 (forall (@list @t106 @t65 @t64 @t105 @t25 @t14) (= (tptp.c_List_Ofoldr @t106 @t321 @t25 @t105 @t14) (tptp.c_List_Ofoldr @t106 @t65 (tptp.c_List_Ofoldr @t106 @t64 @t25 @t105 @t14) @t105 @t14)))) % 6.13/6.44 (assume @p360 (forall (@list @t106 @t105 @t25 @t14) (= (tptp.c_List_Ofoldr @t106 @t241 @t25 @t105 @t14) @t25))) % 6.13/6.44 (assume @p361 (forall @t425 (or (tptp.c_InductTermi_OIT @t424) @t423))) % 6.13/6.44 (assume @p362 (forall (@list @t124 @t4 @t48) (= (tptp.c_Lambda_Osubst @t426 @t48 @t4) @t124))) % 6.13/6.44 (assume @p363 (forall (@list @t46 @t167 @t48) (or (tptp.c_Lambda_Obeta (tptp.c_Lambda_Olift @t46 @t167) (tptp.c_Lambda_Olift @t48 @t167)) @t179))) % 6.13/6.44 (assume @p364 (forall @t432 (or @t431 @t430 (not (tptp.c_Type_Otyping @t125 @t130 @t414)) @t428 (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t125 @t167 @t414 tptp.tc_Type_Otype) @t124 @t427)) @t423))) % 6.13/6.44 (assume @p365 (forall @t432 (or @t431 @t430 (not (tptp.c_Type_Otyping @t125 @t130 @t415)) @t428 (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t125 @t167 @t415 tptp.tc_Type_Otype) @t124 @t427)) @t423))) % 6.13/6.44 (assume @p366 (forall (@list @t125 @t167 @t118 @t14 @t203) (or (= (tptp.hAPP (tptp.c_Type_Oshift @t125 @t167 @t118 @t14) @t203) (tptp.hAPP @t125 @t203)) @t366))) % 6.13/6.44 (assume @p367 (tptp.c_Type_Otyping @t408 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t433 tptp.v_rs____ tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) tptp.v_T_H____)) % 6.13/6.44 (assume @p368 (tptp.c_InductTermi_OIT tptp.v_u____)) % 6.13/6.44 (assume @p369 (tptp.c_Type_Otyping @t408 tptp.v_a____ tptp.v_T_H_H____)) % 6.13/6.44 (assume @p370 (forall @t188 (or @t333 @t332 @t331 @t186 @t434 @t112))) % 6.13/6.44 (assume @p371 (forall @t188 (or @t187 @t186 @t434 @t112))) % 6.13/6.44 (assume @p372 (forall @t233 (or @t333 @t332 @t331 @t186 (not (= (tptp.c_Power_Opower__class_Opower @t25 @t93 @t14) @t68))))) % 6.13/6.44 (assume @p373 (forall @t76 (or @t376 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t93 @t14) @t68)))) % 6.13/6.44 (assume @p374 (forall (@list @t402 @t118 @t125 @t379 @t167 @t123 @t400) (or (= @t402 (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun @t404 @t118 tptp.tc_Type_Otype tptp.tc_Type_Otype)) @t403 @t401 @t399))) % 6.13/6.44 (assume @p375 (forall @t435 (= (tptp.c_Nat_Osize__class_Osize @t405 tptp.tc_Lambda_OdB) @t93))) % 6.13/6.44 (assume @p376 (forall @t435 (= (tptp.c_Lambda_OdB_OdB__size @t405) @t93))) % 6.13/6.44 (assume @p377 (forall @t437 (or @t436 @t3))) % 6.13/6.44 (assume @p378 (forall @t437 (or @t436 @t355))) % 6.13/6.44 (assume @p379 (forall @t393 (or @t392 (= @t391 @t48)))) % 6.13/6.44 (assume @p380 (forall @t425 (or (tptp.c_InductTermi_OIT (tptp.hAPP @t381 @t170)) @t423))) % 6.13/6.44 (assume @p381 (forall (@list @t125 @t130 @t118 @t124) (or (tptp.c_Type_Otyping @t125 @t130 @t439) @t438))) % 6.13/6.44 (assume @p382 (forall (@list @t125 @t167 @t402 @t14 @t118) (= (tptp.c_Type_Oshift (tptp.c_Type_Oshift @t125 @t167 @t402 @t14) @t93 @t118 @t14) (tptp.c_Type_Oshift (tptp.c_Type_Oshift @t125 @t93 @t118 @t14) @t360 @t402 @t14)))) % 6.13/6.44 (assume @p383 (forall (@list @t167 @t4) (or (= (tptp.c_Lambda_Olift @t170 @t4) @t170) @t304))) % 6.13/6.44 (assume @p384 (forall @t440 (or (tptp.c_Type_Otyping @t125 @t124 (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun @t128 @t118 tptp.tc_Type_Otype tptp.tc_Type_Otype)) @t127))) % 6.13/6.44 (assume @p385 (forall (@list @t125 @t124 @t123 @t118 @t400) (or @t126 @t401 (not (tptp.c_Type_Otyping @t125 @t124 (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun @t400 @t118 tptp.tc_Type_Otype tptp.tc_Type_Otype)))))) % 6.13/6.44 (assume @p386 (forall @t440 (or (tptp.c_Type_Otyping @t125 @t124 (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun @t365 @t118 tptp.tc_Type_Otype tptp.tc_Type_Otype)) @t127))) % 6.13/6.44 (assume @p387 (forall (@list @t441 @t130 @t402 @t167 @t124 @t118) (or (not (tptp.c_Type_Otyping @t441 @t130 @t402)) (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t441 @t167 @t402 tptp.tc_Type_Otype) @t124 @t118)) (tptp.c_Type_Otyping @t441 @t429 @t118)))) % 6.13/6.44 (assume @p388 (forall (@list @t125 @t167 @t118 @t123) (or (tptp.c_Type_Otyping @t125 @t170 (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun @t398 @t118 tptp.tc_Type_Otype tptp.tc_Type_Otype)) @t397))) % 6.13/6.44 (assume @p389 (tptp.c_Type_Otyping @t408 (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t433) tptp.v_a____) @t442)) % 6.13/6.44 (assume @p390 (forall (@list @t118 @t402 @t125 @t167 @t123) (or (= @t118 @t402) @t403 @t397))) % 6.13/6.44 (assume @p391 (forall (@list @t125 @t124 @t118 @t130) (or (tptp.c_Type_Otyping @t125 @t124 (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t439) @t118)) @t438))) % 6.13/6.44 (assume @p392 (tptp.c_Type_Otyping @t408 @t433 @t444)) % 6.13/6.44 (assume @p393 @t445) % 6.13/6.44 (assume @p394 (forall (@list @t446 @t124 @t118 @t402) (or (tptp.c_Type_Otyping @t446 @t316 @t447) (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t446 @t93 @t118 tptp.tc_Type_Otype) @t124 @t402))))) % 6.13/6.44 (assume @p395 (= tptp.v_T____ @t444)) % 6.13/6.44 (assume @p396 (forall (@list @t125 @t167 @t402 @t124 @t118) (or (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t125 @t167 @t402 tptp.tc_Type_Otype) @t424 @t118) @t409))) % 6.13/6.44 (assume @p397 (forall @t200 (or (not (= @t405 (tptp.c_Lambda_OdB_OVar @t196))) @t198))) % 6.13/6.44 (assume @p398 (forall @t449 (or @t448 (= @t419 @t412)))) % 6.13/6.44 (assume @p399 (forall @t449 (or @t448 (= @t418 @t411)))) % 6.13/6.44 (assume @p400 (forall (@list @t446 @t48 @t124 @t402 @t118) (or (tptp.c_Type_Otyping @t446 @t389 @t402) (not (tptp.c_Type_Otyping @t446 @t124 @t118)) (not (tptp.c_Type_Otyping @t446 @t48 @t447))))) % 6.13/6.44 (assume @p401 (forall @t454 (or @t453 (= @t96 @t450)))) % 6.13/6.44 (assume @p402 (forall @t454 (or @t453 (= @t95 @t451)))) % 6.13/6.44 (assume @p403 (tptp.c_Type_Otyping tptp.v_e____ tptp.v_u____ @t444)) % 6.13/6.44 (assume @p404 (forall (@list @t197 @t450 @t451) (not (= @t405 @t452)))) % 6.13/6.44 (assume @p405 @t456) % 6.13/6.44 (assume @p406 (forall (@list @t125 @t167 @t118) (or (= (tptp.hAPP @t125 @t167) @t118) (not (tptp.c_Type_Otyping @t125 @t170 @t118))))) % 6.13/6.44 (assume @p407 (forall (@list @t48 @t124 @t4) (= (tptp.c_Lambda_Olift @t389 @t4) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Olift @t48 @t4)) @t426)))) % 6.13/6.44 (assume @p408 (forall (@list @t446 @t13) (tptp.c_Type_Otyping @t446 @t120 (tptp.hAPP @t446 @t13)))) % 6.13/6.44 (assume @p409 (forall (@list @t450 @t451 @t197) (not (= @t452 @t405)))) % 6.13/6.44 (assume @p410 (not @t460)) % 6.13/6.44 (assume @p411 (forall @t464 (or (tptp.class_Orderings_Opreorder @t463) (not (tptp.class_Orderings_Opreorder @t461))))) % 6.13/6.44 (assume @p412 (forall @t464 (or (tptp.class_Orderings_Oorder @t463) (not (tptp.class_Orderings_Oorder @t461))))) % 6.13/6.44 (assume @p413 (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add tptp.tc_nat)) % 6.13/6.44 (assume @p414 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le tptp.tc_nat)) % 6.13/6.44 (assume @p415 (tptp.class_OrderedGroup_Opordered__comm__monoid__add tptp.tc_nat)) % 6.13/6.44 (assume @p416 (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add tptp.tc_nat)) % 6.13/6.44 (assume @p417 (tptp.class_OrderedGroup_Ocancel__semigroup__add tptp.tc_nat)) % 6.13/6.44 (assume @p418 (tptp.class_Ring__and__Field_Ono__zero__divisors tptp.tc_nat)) % 6.13/6.44 (assume @p419 (tptp.class_Ring__and__Field_Oordered__semidom tptp.tc_nat)) % 6.13/6.44 (assume @p420 (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_nat)) % 6.13/6.44 (assume @p421 (tptp.class_OrderedGroup_Oab__semigroup__add tptp.tc_nat)) % 6.13/6.44 (assume @p422 (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.tc_nat)) % 6.13/6.44 (assume @p423 (tptp.class_Ring__and__Field_Ozero__neq__one tptp.tc_nat)) % 6.13/6.44 (assume @p424 (tptp.class_OrderedGroup_Osemigroup__add tptp.tc_nat)) % 6.13/6.44 (assume @p425 (tptp.class_Ring__and__Field_Osemiring__1 tptp.tc_nat)) % 6.13/6.44 (assume @p426 (tptp.class_Ring__and__Field_Osemiring__0 tptp.tc_nat)) % 6.13/6.44 (assume @p427 (tptp.class_Ring__and__Field_Omult__zero tptp.tc_nat)) % 6.13/6.44 (assume @p428 (tptp.class_OrderedGroup_Omonoid__add tptp.tc_nat)) % 6.13/6.44 (assume @p429 (tptp.class_Nat_Osemiring__char__0 tptp.tc_nat)) % 6.13/6.44 (assume @p430 (tptp.class_Orderings_Opreorder tptp.tc_nat)) % 6.13/6.44 (assume @p431 (tptp.class_Orderings_Olinorder tptp.tc_nat)) % 6.13/6.44 (assume @p432 (tptp.class_Orderings_Oorder tptp.tc_nat)) % 6.13/6.44 (assume @p433 (tptp.class_Power_Opower tptp.tc_nat)) % 6.13/6.44 (assume @p434 (forall @t194 (tptp.c_fequal @t13 @t13 @t14))) % 6.13/6.44 (assume @p435 (forall (@list @t466 @t465 @t14) (or (= @t466 @t465) (not (tptp.c_fequal @t466 @t465 @t14))))) % 6.13/6.44 (step @p436 :rule evaluate :args ((= true false))) % 6.13/6.44 (step @p437 :rule instantiate :premises (@p396) :args ((@list tptp.v_e____ @t93 tptp.v_T_H_H____ tptp.v_u____ @t468))) % 6.13/6.44 (step @p438 :rule instantiate :premises (@p400) :args ((@list @t459 @t458 @t457 @t442 @t467))) % 6.13/6.44 (step @p439 :rule instantiate :premises (@p408) :args ((@list @t459 @t93))) % 6.13/6.44 (step @p440 :rule cnf_or_pos :args (@t473)) % 6.13/6.44 (step @p441 :rule reordering :premises (@p440) :args ((or @t460 @t472 @t470 (not @t473)))) % 6.13/6.44 (step @p442 :rule chain_m_resolution :premises (@p441 @p410 @p439 @p438) :args (@t470 (@list true false false) (@list @t460 @t471 @t473))) % 6.13/6.44 (step @p443 :rule cnf_or_pos :args (@t475)) % 6.13/6.44 (step @p444 :rule reordering :premises (@p443) :args ((or @t469 @t474 (not @t475)))) % 6.13/6.44 (step @p445 :rule chain_m_resolution :premises (@p444 @p442 @p437) :args (@t474 (@list true false) (@list @t469 @t475))) % 6.13/6.44 (step @p446 :rule false_intro :premises (@p445)) % 6.13/6.44 (step @p447 :rule refl :args (@t442)) % 6.13/6.44 (step @p448 :rule eq-symm :args (@t455 @t118)) % 6.13/6.44 (step @p449 :rule cong :premises (@p448) :args (@t456)) % 6.13/6.44 (step @p450 :rule eq_resolve :premises (@p405 @p449)) % 6.13/6.44 (step @p451 :rule instantiate :premises (@p450) :args ((@list tptp.v_e____ @t93 tptp.v_T_H_H____ tptp.tc_Type_Otype))) % 6.13/6.44 (step @p452 :rule refl :args (tptp.c_Type_Otype_OFun)) % 6.13/6.44 (step @p453 :rule cong :premises (@p452 @p451) :args (@t443)) % 6.13/6.44 (step @p454 :rule cong :premises (@p453 @p447) :args (@t444)) % 6.13/6.44 (step @p455 :rule trans :premises (@p395 @p454)) % 6.13/6.44 (step @p456 :rule refl :args (tptp.v_u____)) % 6.13/6.44 (step @p457 :rule refl :args (tptp.v_e____)) % 6.13/6.44 (step @p458 :rule cong :premises (@p457 @p456 @p455) :args (@t445)) % 6.13/6.44 (step @p459 :rule true_intro :premises (@p393)) % 6.13/6.44 (step @p460 :rule symm :premises (@p459)) % 6.13/6.44 (step @p461 :rule trans :premises (@p460 @p458 @p446)) % 6.13/6.44 (step @p462 false :rule eq_resolve :premises (@p461 @p436)) % 6.13/6.44 ) % 6.13/6.46 % SZS output end Proof % 6.13/6.46 % cvc5 exiting %------------------------------------------------------------------------------