%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL826-1 : 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 : n031.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 11:23:58 AM UTC 2026 % Result : Unsatisfiable 0.42s 0.71s % Output : Proof 0.42s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : LCL826-1 : 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 % 0.09/0.35 % Computer : n031.cluster.edu % 0.09/0.35 % Model : x86_64 x86_64 % 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.35 % Memory : 8046.5625MB % 0.09/0.35 % OS : Linux 6.8.0-71-generic % 0.09/0.35 % CPULimit : 300 % 0.09/0.35 % WCLimit : 300 % 0.09/0.35 % DateTime : Sat Sep 5 09:29:24 UTC 2026 % 0.09/0.35 % CPUTime : % 0.19/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.19/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.42/0.71 % SZS status Unsatisfiable % 0.42/0.71 % SZS output start Proof % 0.42/0.72 ( % 0.42/0.72 (declare-sort $$unsorted 0) % 0.42/0.72 (declare-const tptp.v_xa $$unsorted) % 0.42/0.72 (declare-const tptp.c_and $$unsorted) % 0.42/0.72 (declare-const tptp.c_COMBS (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.42/0.72 (declare-const tptp.c_implies $$unsorted) % 0.42/0.72 (declare-const tptp.c_COMBB (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.42/0.72 (declare-const tptp.tc_bool $$unsorted) % 0.42/0.72 (declare-const tptp.v_sko__CHAINED__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.42/0.72 (declare-const tptp.v_sko__local__XCons__Xhyps__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.42/0.72 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 0.42/0.72 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 0.42/0.72 (declare-const tptp.c_List_Omap (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.42/0.72 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.72 (declare-const tptp.v_u____ $$unsorted) % 0.42/0.72 (declare-const tptp.v_as____ $$unsorted) % 0.42/0.72 (declare-const tptp.c_Type_Osko__Type__Xabs__typeE__1__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.72 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 0.42/0.72 (declare-const tptp.v_e____ $$unsorted) % 0.42/0.72 (declare-const tptp.v_T_H____ $$unsorted) % 0.42/0.72 (declare-const tptp.c_All (-> $$unsorted $$unsorted)) % 0.42/0.72 (declare-const tptp.c_Type_Osko__Type__Xtyping__elims__2__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.42/0.72 (declare-const tptp.c_Fun_Oid (-> $$unsorted $$unsorted)) % 0.42/0.72 (declare-const tptp.t_a $$unsorted) % 0.42/0.72 (declare-const tptp.v_x $$unsorted) % 0.42/0.72 (declare-const tptp.class_OrderedGroup_Ocancel__semigroup__add (-> $$unsorted Bool)) % 0.42/0.72 (declare-const tptp.class_OrderedGroup_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 0.42/0.72 (declare-const tptp.class_OrderedGroup_Ocomm__monoid__add (-> $$unsorted Bool)) % 0.42/0.72 (declare-const tptp.class_Ring__and__Field_Ocomm__semiring__1 (-> $$unsorted Bool)) % 0.42/0.72 (declare-const tptp.c_Ex (-> $$unsorted $$unsorted)) % 0.42/0.72 (declare-const tptp.class_OrderedGroup_Osemigroup__add (-> $$unsorted Bool)) % 0.42/0.72 (declare-const tptp.class_Nat_Osemiring__char__0 (-> $$unsorted Bool)) % 0.42/0.72 (declare-const tptp.class_OrderedGroup_Oab__semigroup__add (-> $$unsorted Bool)) % 0.42/0.72 (declare-const tptp.class_Ring__and__Field_Oordered__idom (-> $$unsorted Bool)) % 0.42/0.72 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.42/0.72 (declare-const tptp.c_Type_Osko__Type__Xtyping__elims__3__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.42/0.72 (declare-const tptp.c_Type_Osko__Type__Xtyping__elims__3__2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.42/0.72 (declare-const tptp.c_Lambda_Osubst $$unsorted) % 0.42/0.72 (declare-const tptp.c_List_Olistsp (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.42/0.72 (declare-const tptp.tc_Type_Otype $$unsorted) % 0.42/0.72 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.72 (declare-const tptp.c_InductTermi_OIT $$unsorted) % 0.42/0.72 (declare-const tptp.c_Lambda_OdB_OVar (-> $$unsorted $$unsorted)) % 0.42/0.72 (declare-const tptp.class_OrderedGroup_Olordered__ab__group__add (-> $$unsorted Bool)) % 0.42/0.72 (declare-const tptp.c_Type_Otype_OFun $$unsorted) % 0.42/0.72 (declare-const tptp.c_HOL_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.42/0.72 (declare-const tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 0.42/0.72 (declare-const tptp.class_OrderedGroup_Ogroup__add (-> $$unsorted Bool)) % 0.42/0.72 (declare-const tptp.class_Ring__and__Field_Osemiring__1 (-> $$unsorted Bool)) % 0.42/0.72 (declare-const tptp.v_sko__local__XCons__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.42/0.72 (declare-const tptp.c_HOL_Oplus__class_Oplus (-> $$unsorted $$unsorted)) % 0.42/0.72 (declare-const tptp.c_Type_Osko__Type__Xlist__app__typeE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.42/0.72 (declare-const tptp.class_OrderedGroup_Opordered__ab__group__add (-> $$unsorted Bool)) % 0.42/0.72 (declare-const tptp.v_xb $$unsorted) % 0.42/0.72 (declare-const tptp.c_Type_Osko__Type__Xabs__typeE__1__2 (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.72 (declare-const tptp.c_HOL_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.42/0.72 (declare-const tptp.class_Int_Onumber__ring (-> $$unsorted Bool)) % 0.42/0.72 (declare-const tptp.tc_Lambda_OdB $$unsorted) % 0.42/0.72 (declare-const tptp.c_Lambda_Obeta $$unsorted) % 0.42/0.72 (declare-const tptp.v_ua______ $$unsorted) % 0.42/0.72 (declare-const tptp.c_HOL_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 0.42/0.72 (declare-const tptp.c_Type_Otype_Otype__size (-> $$unsorted $$unsorted)) % 0.42/0.72 (declare-const tptp.c_Lambda_Osko__Lambda__Xbeta__cases__2__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.72 (declare-const tptp.c_Suc (-> $$unsorted $$unsorted)) % 0.42/0.72 (declare-const tptp.class_Ring__and__Field_Oidom (-> $$unsorted Bool)) % 0.42/0.72 (declare-const tptp.c_Lambda_OdB_OAbs (-> $$unsorted $$unsorted)) % 0.42/0.72 (declare-const tptp.c_Lambda_OdB_OApp $$unsorted) % 0.42/0.72 (declare-const tptp.c_Lambda_Oliftn (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.42/0.72 (declare-const tptp.c_Nat_Ocompow (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.42/0.72 (declare-const tptp.c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.42/0.72 (declare-const tptp.c_List_Ofoldl (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.42/0.72 (declare-const tptp.v_a____ $$unsorted) % 0.42/0.72 (declare-const tptp.c_Transitive__Closure_Ortranclp (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.72 (declare-const tptp.c_Fun_Ofcomp (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.42/0.72 (declare-const tptp.tc_nat $$unsorted) % 0.42/0.72 (declare-const tptp.class_OrderedGroup_Oab__group__add (-> $$unsorted Bool)) % 0.42/0.72 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 0.42/0.72 (declare-const tptp.c_Lambda_Osubstn (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.42/0.72 (declare-const tptp.c_HOL_Oone__class_Oone (-> $$unsorted $$unsorted)) % 0.42/0.72 (declare-const tptp.c_Type_Otypings (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.42/0.72 (declare-const tptp.class_OrderedGroup_Opordered__comm__monoid__add (-> $$unsorted Bool)) % 0.42/0.72 (declare-const tptp.c_Nat_Osize__class_Osize (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.72 (declare-const tptp.c_Nat_Osemiring__1__class_Oof__nat__aux (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.42/0.72 (declare-const tptp.c_COMBK (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.42/0.72 (declare-const tptp.c_Type_Otyping $$unsorted) % 0.42/0.72 (declare-const tptp.c_Type_Osko__Type__Xlist__app__typeD__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.42/0.72 (declare-const tptp.c_COMBC (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.42/0.72 (declare-const tptp.c_Nat_Osemiring__1__class_Oof__nat (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.72 (declare-const tptp.v_T_Ha______ $$unsorted) % 0.42/0.72 (declare-const tptp.c_List_Ofoldr (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.42/0.72 (declare-const tptp.c_Lambda_OdB_OdB__size (-> $$unsorted $$unsorted)) % 0.42/0.72 (declare-const tptp.class_OrderedGroup_Omonoid__add (-> $$unsorted Bool)) % 0.42/0.72 (declare-const tptp.c_Type_Osko__Type__Xvar__app__typesE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.42/0.72 (declare-const tptp.c_Type_Oshift (-> $$unsorted $$unsorted)) % 0.42/0.72 (declare-const tptp.v_rs____ $$unsorted) % 0.42/0.72 (declare-const tptp.v_n____ $$unsorted) % 0.42/0.72 (declare-const tptp.v_i____ $$unsorted) % 0.42/0.72 (declare-const tptp.v_ia______ $$unsorted) % 0.42/0.72 (declare-const tptp.c_Type_Osko__Type__Xvar__app__types__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.42/0.72 (declare-const tptp.v_ea______ $$unsorted) % 0.42/0.72 (declare-const tptp.v_xc $$unsorted) % 0.42/0.72 (declare-const tptp.class_Ring__and__Field_Ozero__neq__one (-> $$unsorted Bool)) % 0.42/0.72 (declare-const tptp.c_ListOrder_Ostep1 (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.42/0.72 (declare-const tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 0.42/0.72 (declare-const tptp.c_Fun_Ocomp (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.42/0.72 (declare-const tptp.class_Ring__and__Field_Oordered__semidom (-> $$unsorted Bool)) % 0.42/0.72 (declare-const tptp.v_T____ $$unsorted) % 0.42/0.72 (declare-const tptp.c_Lambda_Olift $$unsorted) % 0.42/0.72 (define @t1 () (@var "V_ss" $$unsorted)) % 0.42/0.72 (define @t2 () (@var "V_rs" $$unsorted)) % 0.42/0.72 (define @t3 () (@var "V_r" $$unsorted)) % 0.42/0.72 (define @t4 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t3 @t1 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.42/0.72 (define @t5 () (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) % 0.42/0.72 (define @t6 () (@var "V_m" $$unsorted)) % 0.42/0.72 (define @t7 () (= @t6 @t5)) % 0.42/0.72 (define @t8 () (@var "V_n" $$unsorted)) % 0.42/0.72 (define @t9 () (tptp.c_HOL_Oone__class_Oone tptp.tc_nat)) % 0.42/0.72 (define @t10 () (tptp.c_HOL_Ominus__class_Ominus @t6 @t9 tptp.tc_nat)) % 0.42/0.72 (define @t11 () (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat)) % 0.42/0.72 (define @t12 () (tptp.hAPP @t11 @t6)) % 0.42/0.72 (define @t13 () (tptp.hAPP @t12 @t8)) % 0.42/0.72 (define @t14 () (@list @t6 @t8)) % 0.42/0.72 (define @t15 () (tptp.c_HOL_Oord__class_Oless @t5 @t8 tptp.tc_nat)) % 0.42/0.72 (define @t16 () (not @t15)) % 0.42/0.72 (define @t17 () (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus @t8 @t9 tptp.tc_nat))) % 0.42/0.72 (define @t18 () (@list @t8)) % 0.42/0.72 (define @t19 () (tptp.c_HOL_Oord__class_Oless @t5 @t6 tptp.tc_nat)) % 0.42/0.72 (define @t20 () (not @t19)) % 0.42/0.72 (define @t21 () (tptp.c_HOL_Ominus__class_Ominus @t6 @t8 tptp.tc_nat)) % 0.42/0.72 (define @t22 () (tptp.c_HOL_Oord__class_Oless @t6 @t8 tptp.tc_nat)) % 0.42/0.72 (define @t23 () (not @t22)) % 0.42/0.72 (define @t24 () (tptp.c_HOL_Ominus__class_Ominus @t8 @t6 tptp.tc_nat)) % 0.42/0.72 (define @t25 () (tptp.c_HOL_Oord__class_Oless @t5 @t24 tptp.tc_nat)) % 0.42/0.72 (define @t26 () (@list @t8 @t6)) % 0.42/0.72 (define @t27 () (@var "V_b" $$unsorted)) % 0.42/0.72 (define @t28 () (@var "V_a" $$unsorted)) % 0.42/0.72 (define @t29 () (@var "V_P" $$unsorted)) % 0.42/0.72 (define @t30 () (@var "T_a" $$unsorted)) % 0.42/0.72 (define @t31 () (tptp.c_HOL_Oord__class_Oless @t28 @t27 @t30)) % 0.42/0.72 (define @t32 () (not @t31)) % 0.42/0.72 (define @t33 () (tptp.c_HOL_Ozero__class_Ozero @t30)) % 0.42/0.72 (define @t34 () (tptp.c_HOL_Ominus__class_Ominus @t28 @t27 @t30)) % 0.42/0.72 (define @t35 () (tptp.c_HOL_Oord__class_Oless @t34 @t33 @t30)) % 0.42/0.72 (define @t36 () (not (tptp.class_OrderedGroup_Opordered__ab__group__add @t30))) % 0.42/0.72 (define @t37 () (@list @t30 @t28 @t27)) % 0.42/0.72 (define @t38 () (tptp.hAPP @t11 @t8)) % 0.42/0.72 (define @t39 () (@var "V_y_H" $$unsorted)) % 0.42/0.72 (define @t40 () (@var "V_x_H" $$unsorted)) % 0.42/0.72 (define @t41 () (tptp.c_HOL_Oord__class_Oless @t40 @t39 @t30)) % 0.42/0.72 (define @t42 () (@var "V_y" $$unsorted)) % 0.42/0.72 (define @t43 () (@var "V_x" $$unsorted)) % 0.42/0.72 (define @t44 () (tptp.c_HOL_Oord__class_Oless @t43 @t42 @t30)) % 0.42/0.72 (define @t45 () (tptp.c_HOL_Ominus__class_Ominus @t40 @t39 @t30)) % 0.42/0.72 (define @t46 () (tptp.c_HOL_Ominus__class_Ominus @t43 @t42 @t30)) % 0.42/0.72 (define @t47 () (not (= @t46 @t45))) % 0.42/0.72 (define @t48 () (@list @t30 @t43 @t42 @t40 @t39)) % 0.42/0.72 (define @t49 () (not @t44)) % 0.42/0.72 (define @t50 () (@var "V_j" $$unsorted)) % 0.42/0.72 (define @t51 () (@var "V_k" $$unsorted)) % 0.42/0.72 (define @t52 () (@var "V_i" $$unsorted)) % 0.42/0.72 (define @t53 () (tptp.hAPP @t11 @t52)) % 0.42/0.72 (define @t54 () (tptp.hAPP @t53 @t51)) % 0.42/0.72 (define @t55 () (tptp.c_HOL_Oord__class_Oless @t54 @t50 tptp.tc_nat)) % 0.42/0.72 (define @t56 () (tptp.c_HOL_Oord__class_Oless @t52 (tptp.c_HOL_Ominus__class_Ominus @t50 @t51 tptp.tc_nat) tptp.tc_nat)) % 0.42/0.72 (define @t57 () (@list @t52 @t50 @t51)) % 0.42/0.72 (define @t58 () (@list @t52 @t51 @t50)) % 0.42/0.72 (define @t59 () (@var "V_inc" $$unsorted)) % 0.42/0.72 (define @t60 () (not (tptp.class_Ring__and__Field_Osemiring__1 @t30))) % 0.42/0.72 (define @t61 () (= @t6 @t8)) % 0.42/0.72 (define @t62 () (not (tptp.c_HOL_Oord__class_Oless @t50 @t51 tptp.tc_nat))) % 0.42/0.72 (define @t63 () (tptp.c_Suc @t8)) % 0.42/0.72 (define @t64 () (tptp.c_Suc @t6)) % 0.42/0.72 (define @t65 () (@list @t6)) % 0.42/0.72 (define @t66 () (tptp.c_HOL_Ominus__class_Ominus @t43 @t43 @t30)) % 0.42/0.72 (define @t67 () (= @t66 @t33)) % 0.42/0.72 (define @t68 () (not (tptp.class_Int_Onumber__ring @t30))) % 0.42/0.72 (define @t69 () (not (tptp.class_Ring__and__Field_Oidom @t30))) % 0.42/0.72 (define @t70 () (@list @t30 @t43)) % 0.42/0.72 (define @t71 () (not (tptp.class_OrderedGroup_Ogroup__add @t30))) % 0.42/0.72 (define @t72 () (@list @t30 @t28)) % 0.42/0.72 (define @t73 () (not (tptp.class_OrderedGroup_Oab__group__add @t30))) % 0.42/0.72 (define @t74 () (@var "V_l" $$unsorted)) % 0.42/0.72 (define @t75 () (tptp.c_HOL_Oplus__class_Oplus @t30)) % 0.42/0.72 (define @t76 () (tptp.hAPP @t11 @t27)) % 0.42/0.72 (define @t77 () (@var "V_d" $$unsorted)) % 0.42/0.72 (define @t78 () (tptp.hAPP @t38 @t6)) % 0.42/0.72 (define @t79 () (tptp.hAPP @t11 @t50)) % 0.42/0.72 (define @t80 () (tptp.hAPP @t79 @t51)) % 0.42/0.72 (define @t81 () (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Ominus__class_Ominus @t52 @t50 tptp.tc_nat) @t51 tptp.tc_nat)) % 0.42/0.72 (define @t82 () (@var "V_xa" $$unsorted)) % 0.42/0.72 (define @t83 () (tptp.hAPP @t38 @t51)) % 0.42/0.72 (define @t84 () (tptp.hAPP @t12 @t51)) % 0.42/0.72 (define @t85 () (@list @t6 @t51 @t8)) % 0.42/0.72 (define @t86 () (tptp.hAPP @t11 @t51)) % 0.42/0.72 (define @t87 () (tptp.hAPP @t86 @t8)) % 0.42/0.72 (define @t88 () (tptp.hAPP @t86 @t6)) % 0.42/0.72 (define @t89 () (@list @t51 @t6 @t8)) % 0.42/0.72 (define @t90 () (= @t43 @t42)) % 0.42/0.72 (define @t91 () (@list @t30 @t43 @t42)) % 0.42/0.72 (define @t92 () (= @t28 @t27)) % 0.42/0.72 (define @t93 () (not (= @t34 @t33))) % 0.42/0.72 (define @t94 () (tptp.c_Suc @t51)) % 0.42/0.72 (define @t95 () (@list @t6 @t8 @t51)) % 0.42/0.72 (define @t96 () (@var "V_v" $$unsorted)) % 0.42/0.72 (define @t97 () (tptp.c_Lambda_OdB_OVar @t8)) % 0.42/0.72 (define @t98 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t97 @t2 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.42/0.72 (define @t99 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t98) @t96)))) % 0.42/0.72 (define @t100 () (tptp.c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1 @t8 @t2 @t96)) % 0.42/0.72 (define @t101 () (tptp.hAPP @t75 @t28)) % 0.42/0.72 (define @t102 () (tptp.hAPP @t101 @t27)) % 0.42/0.72 (define @t103 () (tptp.c_Suc @t52)) % 0.42/0.72 (define @t104 () (tptp.c_Suc @t5)) % 0.42/0.72 (define @t105 () (not (tptp.c_HOL_Oord__class_Oless @t52 @t50 tptp.tc_nat))) % 0.42/0.72 (define @t106 () (tptp.c_HOL_Ominus__class_Ominus @t50 @t9 tptp.tc_nat)) % 0.42/0.72 (define @t107 () (@var "V_e" $$unsorted)) % 0.42/0.72 (define @t108 () (@var "V_T" $$unsorted)) % 0.42/0.72 (define @t109 () (tptp.c_Type_Oshift @t30)) % 0.42/0.72 (define @t110 () (tptp.hAPP @t109 @t107)) % 0.42/0.72 (define @t111 () (tptp.hAPP @t110 @t52)) % 0.42/0.72 (define @t112 () (tptp.hAPP (tptp.hAPP @t111 @t108) @t50)) % 0.42/0.72 (define @t113 () (@list @t30 @t107 @t52 @t108 @t50)) % 0.42/0.72 (define @t114 () (@var "V_type2" $$unsorted)) % 0.42/0.72 (define @t115 () (@var "V_type1" $$unsorted)) % 0.42/0.72 (define @t116 () (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t115) @t114)) % 0.42/0.72 (define @t117 () (@list @t115 @t114)) % 0.42/0.72 (define @t118 () (@var "V_u" $$unsorted)) % 0.42/0.72 (define @t119 () (tptp.c_Lambda_OdB_OVar @t50)) % 0.42/0.72 (define @t120 () (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t119) @t118) @t52)) % 0.42/0.72 (define @t121 () (@list @t50 @t118 @t52)) % 0.42/0.72 (define @t122 () (tptp.c_HOL_Oord__class_Oless @t51 @t52 tptp.tc_nat)) % 0.42/0.72 (define @t123 () (not @t122)) % 0.42/0.72 (define @t124 () (tptp.c_Lambda_OdB_OVar (tptp.c_HOL_Ominus__class_Ominus @t52 @t9 tptp.tc_nat))) % 0.42/0.72 (define @t125 () (@var "V_s" $$unsorted)) % 0.42/0.72 (define @t126 () (tptp.c_Lambda_OdB_OVar @t52)) % 0.42/0.72 (define @t127 () (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t126) @t125) @t51)) % 0.42/0.72 (define @t128 () (@list @t52 @t125 @t51)) % 0.42/0.72 (define @t129 () (@var "V_ts" $$unsorted)) % 0.42/0.72 (define @t130 () (@var "V_t" $$unsorted)) % 0.42/0.72 (define @t131 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t130 @t129 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.42/0.72 (define @t132 () (tptp.hAPP tptp.c_Type_Otyping @t107)) % 0.42/0.72 (define @t133 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t132 @t131) @t108))) % 0.42/0.72 (define @t134 () (not @t133)) % 0.42/0.72 (define @t135 () (tptp.c_Type_Osko__Type__Xlist__app__typeE__1__1 @t108 @t107 @t130 @t129)) % 0.42/0.72 (define @t136 () (@list @t107 @t129 @t108 @t130)) % 0.42/0.72 (define @t137 () (tptp.c_Type_Osko__Type__Xlist__app__typeD__1__1 @t108 @t107 @t130 @t129)) % 0.42/0.72 (define @t138 () (tptp.c_Lambda_Osubstn @t126 @t125 @t51)) % 0.42/0.72 (define @t139 () (tptp.c_HOL_Oone__class_Oone @t30)) % 0.42/0.72 (define @t140 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t8 @t30)) % 0.42/0.72 (define @t141 () (@list @t30 @t8)) % 0.42/0.72 (define @t142 () (tptp.hAPP @t132 @t130)) % 0.42/0.72 (define @t143 () (@list @t107 @t130 @t108 @t129)) % 0.42/0.72 (define @t144 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_OdB_OVar tptp.v_n____) tptp.v_rs____ tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.42/0.72 (define @t145 () (tptp.c_Type_Oshift tptp.tc_Type_Otype)) % 0.42/0.72 (define @t146 () (@var "V_f" $$unsorted)) % 0.42/0.72 (define @t147 () (tptp.c_Nat_Ocompow @t8 @t146 @t30 @t30)) % 0.42/0.72 (define @t148 () (tptp.c_Transitive__Closure_Ortranclp @t3 @t30)) % 0.42/0.72 (define @t149 () (tptp.hAPP @t148 @t43)) % 0.42/0.72 (define @t150 () (tptp.hBOOL (tptp.hAPP @t149 @t42))) % 0.42/0.72 (define @t151 () (= @t6 @t104)) % 0.42/0.72 (define @t152 () (= @t8 @t104)) % 0.42/0.72 (define @t153 () (not (= @t104 @t13))) % 0.42/0.72 (define @t154 () (= @t8 @t5)) % 0.42/0.72 (define @t155 () (@var "V_zs" $$unsorted)) % 0.42/0.72 (define @t156 () (tptp.hAPP @t75 @t43)) % 0.42/0.72 (define @t157 () (not (tptp.class_OrderedGroup_Omonoid__add @t30))) % 0.42/0.72 (define @t158 () (not (tptp.class_Ring__and__Field_Ozero__neq__one @t30))) % 0.42/0.72 (define @t159 () (@list @t30)) % 0.42/0.72 (define @t160 () (tptp.c_HOL_Oord__class_Oless @t6 @t63 tptp.tc_nat)) % 0.42/0.72 (define @t161 () (tptp.c_HOL_Oord__class_Oless @t8 @t6 tptp.tc_nat)) % 0.42/0.72 (define @t162 () (tptp.c_HOL_Oord__class_Oless @t8 @t64 tptp.tc_nat)) % 0.42/0.72 (define @t163 () (not @t162)) % 0.42/0.72 (define @t164 () (tptp.hAPP (tptp.hAPP @t11 @t104) @t5)) % 0.42/0.72 (define @t165 () (tptp.c_HOL_Oord__class_Oless @t52 @t51 tptp.tc_nat)) % 0.42/0.72 (define @t166 () (tptp.c_Lambda_Oliftn @t8 @t126 @t51)) % 0.42/0.72 (define @t167 () (@list @t8 @t52 @t51)) % 0.42/0.72 (define @t168 () (tptp.hAPP @t86 @t9)) % 0.42/0.72 (define @t169 () (tptp.c_Lambda_OdB_OAbs @t125)) % 0.42/0.72 (define @t170 () (@var "V_c" $$unsorted)) % 0.42/0.72 (define @t171 () (tptp.hAPP @t75 @t27)) % 0.42/0.72 (define @t172 () (tptp.hAPP @t171 @t77)) % 0.42/0.72 (define @t173 () (tptp.hAPP @t101 @t170)) % 0.42/0.72 (define @t174 () (not (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add @t30))) % 0.42/0.72 (define @t175 () (not (tptp.c_HOL_Oord__class_Oless @t51 @t74 tptp.tc_nat))) % 0.42/0.72 (define @t176 () (@var "V_nat_H" $$unsorted)) % 0.42/0.72 (define @t177 () (tptp.c_Suc @t176)) % 0.42/0.72 (define @t178 () (@list @t176)) % 0.42/0.72 (define @t179 () (tptp.c_Suc @t43)) % 0.42/0.72 (define @t180 () (tptp.c_HOL_Oord__class_Oless @t43 @t179 tptp.tc_nat)) % 0.42/0.72 (define @t181 () (@list @t43)) % 0.42/0.72 (define @t182 () (@var "V_xs" $$unsorted)) % 0.42/0.72 (define @t183 () (tptp.c_List_Ofoldr @t75 @t182 @t33 @t30 @t30)) % 0.42/0.72 (define @t184 () (not (tptp.class_Ring__and__Field_Oordered__semidom @t30))) % 0.42/0.72 (define @t185 () (tptp.c_Transitive__Closure_Ortranclp tptp.c_Lambda_Obeta tptp.tc_Lambda_OdB)) % 0.42/0.72 (define @t186 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t185 @t3) @t125)))) % 0.42/0.72 (define @t187 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t125 @t1 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.42/0.72 (define @t188 () (@list @t3 @t1 @t125)) % 0.42/0.72 (define @t189 () (tptp.hAPP @t53 @t50)) % 0.42/0.72 (define @t190 () (tptp.hAPP @t171 @t170)) % 0.42/0.72 (define @t191 () (tptp.c_HOL_Oord__class_Oless @t173 @t190 @t30)) % 0.42/0.72 (define @t192 () (@list @t30 @t28 @t170 @t27)) % 0.42/0.72 (define @t193 () (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le @t30))) % 0.42/0.72 (define @t194 () (@list @t30 @t28 @t27 @t170)) % 0.42/0.72 (define @t195 () (tptp.hAPP @t75 @t170)) % 0.42/0.72 (define @t196 () (tptp.hAPP @t195 @t28)) % 0.42/0.72 (define @t197 () (tptp.c_HOL_Oord__class_Oless @t196 (tptp.hAPP @t195 @t27) @t30)) % 0.42/0.72 (define @t198 () (@list @t30 @t170 @t28 @t27)) % 0.42/0.72 (define @t199 () (tptp.c_HOL_Oord__class_Oless @t88 @t87 tptp.tc_nat)) % 0.42/0.72 (define @t200 () (tptp.hAPP @t11 @t5)) % 0.42/0.72 (define @t201 () (tptp.hAPP @t200 @t104)) % 0.42/0.72 (define @t202 () (tptp.c_HOL_Oord__class_Oless @t64 @t8 tptp.tc_nat)) % 0.42/0.72 (define @t203 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t6 @t30)) % 0.42/0.72 (define @t204 () (@list @t30 @t6 @t8)) % 0.42/0.72 (define @t205 () (not (= @t13 @t104))) % 0.42/0.72 (define @t206 () (@var "V_dB2" $$unsorted)) % 0.42/0.72 (define @t207 () (@var "V_dB1" $$unsorted)) % 0.42/0.72 (define @t208 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t207) @t206)) % 0.42/0.72 (define @t209 () (@list @t207 @t206)) % 0.42/0.72 (define @t210 () (tptp.hAPP tptp.c_Lambda_Olift @t125)) % 0.42/0.72 (define @t211 () (@var "V_dB" $$unsorted)) % 0.42/0.72 (define @t212 () (tptp.c_Lambda_OdB_OAbs @t211)) % 0.42/0.72 (define @t213 () (@list @t211)) % 0.42/0.72 (define @t214 () (tptp.hAPP @t148 @t28)) % 0.42/0.72 (define @t215 () (tptp.hBOOL (tptp.hAPP @t214 @t170))) % 0.42/0.72 (define @t216 () (@list @t3 @t30 @t28 @t170 @t27)) % 0.42/0.72 (define @t217 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t126 @t129 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.42/0.72 (define @t218 () (tptp.hAPP @t132 @t217)) % 0.42/0.72 (define @t219 () (not (tptp.hBOOL (tptp.hAPP @t218 @t108)))) % 0.42/0.72 (define @t220 () (tptp.c_Type_Osko__Type__Xvar__app__typesE__1__1 @t108 @t107 @t52 @t129)) % 0.42/0.72 (define @t221 () (tptp.hAPP @t132 @t126)) % 0.42/0.72 (define @t222 () (tptp.c_Lambda_OdB_OVar @t43)) % 0.42/0.72 (define @t223 () (tptp.c_HOL_Oord__class_Oless @t43 @t43 tptp.tc_nat)) % 0.42/0.72 (define @t224 () (@list @t43 @t125)) % 0.42/0.72 (define @t225 () (tptp.hAPP @t53 @t9)) % 0.42/0.72 (define @t226 () (tptp.hAPP @t210 @t52)) % 0.42/0.72 (define @t227 () (tptp.hAPP tptp.c_Lambda_Olift @t130)) % 0.42/0.72 (define @t228 () (tptp.hAPP tptp.c_Lambda_Osubst @t130)) % 0.42/0.72 (define @t229 () (tptp.hAPP @t228 @t125)) % 0.42/0.72 (define @t230 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Olift (tptp.hAPP @t229 @t50)) @t52)) % 0.42/0.72 (define @t231 () (@list @t130 @t125 @t50 @t52)) % 0.42/0.72 (define @t232 () (tptp.hAPP @t79 @t9)) % 0.42/0.72 (define @t233 () (not (tptp.c_HOL_Oord__class_Oless @t52 @t232 tptp.tc_nat))) % 0.42/0.72 (define @t234 () (tptp.hAPP @t227 @t52)) % 0.42/0.72 (define @t235 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Olift @t126) @t51)) % 0.42/0.72 (define @t236 () (@list @t52 @t51)) % 0.42/0.72 (define @t237 () (tptp.c_Lambda_OdB_OAbs @t130)) % 0.42/0.72 (define @t238 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t132 @t237) @t108)))) % 0.42/0.72 (define @t239 () (tptp.c_Type_Osko__Type__Xtyping__elims__3__2 @t108 @t107 @t130)) % 0.42/0.72 (define @t240 () (tptp.c_Type_Osko__Type__Xtyping__elims__3__1 @t108 @t107 @t130)) % 0.42/0.72 (define @t241 () (@var "V_us" $$unsorted)) % 0.42/0.72 (define @t242 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t132 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t217 @t241 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) @t108)))) % 0.42/0.72 (define @t243 () (@var "V_Ts" $$unsorted)) % 0.42/0.72 (define @t244 () (not (tptp.c_Type_Otypings @t107 @t129 @t243))) % 0.42/0.72 (define @t245 () (@var "V_U" $$unsorted)) % 0.42/0.72 (define @t246 () (not (tptp.hBOOL (tptp.hAPP @t218 @t245)))) % 0.42/0.72 (define @t247 () (tptp.c_Type_Osko__Type__Xvar__app__types__1__1 @t108 @t245 @t107 @t241)) % 0.42/0.72 (define @t248 () (tptp.c_HOL_Oord__class_Oless @t33 @t28 @t30)) % 0.42/0.72 (define @t249 () (not @t248)) % 0.42/0.72 (define @t250 () (tptp.hAPP @t101 @t28)) % 0.42/0.72 (define @t251 () (tptp.c_HOL_Oord__class_Oless @t33 @t250 @t30)) % 0.42/0.72 (define @t252 () (not (tptp.class_OrderedGroup_Olordered__ab__group__add @t30))) % 0.42/0.72 (define @t253 () (@list @t30 @t6)) % 0.42/0.72 (define @t254 () (tptp.c_HOL_Oord__class_Oless @t28 @t33 @t30)) % 0.42/0.72 (define @t255 () (not @t254)) % 0.42/0.72 (define @t256 () (not (tptp.class_OrderedGroup_Opordered__comm__monoid__add @t30))) % 0.42/0.72 (define @t257 () (tptp.c_HOL_Oord__class_Oless @t250 @t33 @t30)) % 0.42/0.72 (define @t258 () (not @t257)) % 0.42/0.72 (define @t259 () (not (tptp.class_Ring__and__Field_Oordered__idom @t30))) % 0.42/0.72 (define @t260 () (@list @t30 @t27 @t28 @t170)) % 0.42/0.72 (define @t261 () (tptp.c_HOL_Oord__class_Oless @t203 @t140 @t30)) % 0.42/0.72 (define @t262 () (tptp.c_HOL_Oord__class_Oless @t5 @t13 tptp.tc_nat)) % 0.42/0.72 (define @t263 () (@var "V_s_H" $$unsorted)) % 0.42/0.72 (define @t264 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t185 @t125) @t263)))) % 0.42/0.72 (define @t265 () (@var "V_t_H" $$unsorted)) % 0.42/0.72 (define @t266 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t185 @t130) @t265)))) % 0.42/0.72 (define @t267 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t263)) % 0.42/0.72 (define @t268 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t125)) % 0.42/0.72 (define @t269 () (tptp.hAPP @t268 @t130)) % 0.42/0.72 (define @t270 () (tptp.hAPP @t185 @t269)) % 0.42/0.72 (define @t271 () (tptp.hAPP tptp.c_Lambda_Obeta @t3)) % 0.42/0.72 (define @t272 () (not (tptp.hBOOL (tptp.hAPP @t271 @t125)))) % 0.42/0.72 (define @t273 () (tptp.c_Lambda_OdB_OAbs @t3)) % 0.42/0.72 (define @t274 () (@list @t3 @t125 @t1)) % 0.42/0.72 (define @t275 () (= @t2 @t1)) % 0.42/0.72 (define @t276 () (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t273 @t2 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t169 @t1 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.42/0.72 (define @t277 () (@list @t3 @t2 @t125 @t1)) % 0.42/0.72 (define @t278 () (= @t3 @t125)) % 0.42/0.72 (define @t279 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t273) @t125)))) % 0.42/0.72 (define @t280 () (tptp.c_Lambda_Osko__Lambda__Xbeta__cases__2__1 @t3 @t125)) % 0.42/0.72 (define @t281 () (tptp.c_List_Ofoldl @t75 @t28 @t182 @t30 @t30)) % 0.42/0.72 (define @t282 () (not (tptp.class_OrderedGroup_Oab__semigroup__add @t30))) % 0.42/0.72 (define @t283 () (@var "V_nat" $$unsorted)) % 0.42/0.72 (define @t284 () (= @t283 @t176)) % 0.42/0.72 (define @t285 () (@list @t283 @t176)) % 0.42/0.72 (define @t286 () (= @t28 @t33)) % 0.42/0.72 (define @t287 () (not (= @t13 @t5))) % 0.42/0.72 (define @t288 () (tptp.c_Lambda_Oliftn @t8 @t130 @t51)) % 0.42/0.72 (define @t289 () (tptp.hAPP @t11 @t43)) % 0.42/0.72 (define @t290 () (tptp.hAPP @t156 @t42)) % 0.42/0.72 (define @t291 () (tptp.hAPP @t75 @t42)) % 0.42/0.72 (define @t292 () (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 @t30))) % 0.42/0.72 (define @t293 () (tptp.hAPP @t171 @t28)) % 0.42/0.72 (define @t294 () (not (tptp.class_OrderedGroup_Ocomm__monoid__add @t30))) % 0.42/0.72 (define @t295 () (@list @t130 @t125 @t51)) % 0.42/0.72 (define @t296 () (@var "V_z" $$unsorted)) % 0.42/0.72 (define @t297 () (tptp.hAPP @t11 @t42)) % 0.42/0.72 (define @t298 () (tptp.hAPP @t297 @t296)) % 0.42/0.72 (define @t299 () (tptp.c_HOL_Oord__class_Oless @t43 @t298 tptp.tc_nat)) % 0.42/0.72 (define @t300 () (@list @t43 @t42 @t296)) % 0.42/0.72 (define @t301 () (tptp.c_HOL_Oord__class_Oless @t43 @t42 tptp.tc_nat)) % 0.42/0.72 (define @t302 () (@list @t52 @t6)) % 0.42/0.72 (define @t303 () (tptp.c_Suc @t13)) % 0.42/0.72 (define @t304 () (tptp.hAPP (tptp.hAPP @t11 @t64) @t8)) % 0.42/0.72 (define @t305 () (tptp.hAPP @t12 @t63)) % 0.42/0.72 (define @t306 () (tptp.hAPP @t75 @t33)) % 0.42/0.72 (define @t307 () (tptp.hAPP @t156 (tptp.hAPP @t291 @t296))) % 0.42/0.72 (define @t308 () (@list @t30 @t43 @t42 @t296)) % 0.42/0.72 (define @t309 () (tptp.hAPP @t156 @t296)) % 0.42/0.72 (define @t310 () (tptp.hAPP @t289 @t296)) % 0.42/0.72 (define @t311 () (tptp.hAPP @t101 @t190)) % 0.42/0.72 (define @t312 () (tptp.hAPP @t75 @t102)) % 0.42/0.72 (define @t313 () (tptp.hAPP @t312 @t170)) % 0.42/0.72 (define @t314 () (= @t313 @t311)) % 0.42/0.72 (define @t315 () (tptp.hAPP @t75 @t173)) % 0.42/0.72 (define @t316 () (tptp.hAPP @t195 @t77)) % 0.42/0.72 (define @t317 () (tptp.hAPP @t101 @t316)) % 0.42/0.72 (define @t318 () (@list @t30 @t28 @t170 @t77)) % 0.42/0.72 (define @t319 () (@var "V_Q" $$unsorted)) % 0.42/0.72 (define @t320 () (@var "T_b" $$unsorted)) % 0.42/0.72 (define @t321 () (tptp.hAPP @t146 @t43)) % 0.42/0.72 (define @t322 () (tptp.hAPP @t75 @t139)) % 0.42/0.72 (define @t323 () (= @t42 @t296)) % 0.42/0.72 (define @t324 () (= @t27 @t170)) % 0.42/0.72 (define @t325 () (not (= @t102 @t173))) % 0.42/0.72 (define @t326 () (not (tptp.class_OrderedGroup_Ocancel__semigroup__add @t30))) % 0.42/0.72 (define @t327 () (tptp.hAPP (tptp.hAPP @t228 @t118) @t52)) % 0.42/0.72 (define @t328 () (tptp.hAPP tptp.c_Lambda_Osubst @t118)) % 0.42/0.72 (define @t329 () (tptp.hAPP @t227 @t51)) % 0.42/0.72 (define @t330 () (= (tptp.hAPP @t306 @t28) @t28)) % 0.42/0.72 (define @t331 () (= (tptp.hAPP @t101 @t33) @t28)) % 0.42/0.72 (define @t332 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t130)) % 0.42/0.72 (define @t333 () (tptp.hAPP @t332 @t118)) % 0.42/0.72 (define @t334 () (@list @t130 @t118 @t125 @t51)) % 0.42/0.72 (define @t335 () (tptp.c_HOL_Oord__class_Oless @t64 @t63 tptp.tc_nat)) % 0.42/0.72 (define @t336 () (tptp.c_Lambda_OdB_OVar @t283)) % 0.42/0.72 (define @t337 () (@list @t283)) % 0.42/0.72 (define @t338 () (not @t165)) % 0.42/0.72 (define @t339 () (= @t52 @t51)) % 0.42/0.72 (define @t340 () (@var "T_c" $$unsorted)) % 0.42/0.72 (define @t341 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t185 (tptp.hAPP (tptp.hAPP @t228 @t3) @t52)) (tptp.hAPP @t229 @t52)))) % 0.42/0.72 (define @t342 () (@list @t130 @t3 @t52 @t125)) % 0.42/0.72 (define @t343 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t125) @t130)) % 0.42/0.72 (define @t344 () (tptp.hAPP @t343 @t52)) % 0.42/0.72 (define @t345 () (tptp.hAPP tptp.c_Lambda_Osubst @t3)) % 0.42/0.72 (define @t346 () (tptp.hAPP (tptp.hAPP @t345 @t130) @t52)) % 0.42/0.72 (define @t347 () (@list @t3 @t130 @t52 @t125)) % 0.42/0.72 (define @t348 () (tptp.c_Lambda_OdB_OVar @t6)) % 0.42/0.72 (define @t349 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t97 @t1 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.42/0.72 (define @t350 () (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t348 @t2 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) @t349))) % 0.42/0.72 (define @t351 () (@list @t6 @t2 @t8 @t1)) % 0.42/0.72 (define @t352 () (tptp.c_Fun_Oid @t30)) % 0.42/0.72 (define @t353 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t132 @t333) @t108)))) % 0.42/0.72 (define @t354 () (tptp.c_Type_Osko__Type__Xtyping__elims__2__1 @t108 @t107 @t130 @t118)) % 0.42/0.72 (define @t355 () (tptp.hAPP @t132 @t118)) % 0.42/0.72 (define @t356 () (not (tptp.hBOOL (tptp.hAPP @t142 @t108)))) % 0.42/0.72 (define @t357 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t132 @t265) @t108))) % 0.42/0.72 (define @t358 () (@list @t107 @t265 @t108 @t130)) % 0.42/0.72 (define @t359 () (tptp.hAPP tptp.c_Type_Otyping (tptp.hAPP (tptp.hAPP (tptp.hAPP @t145 tptp.v_e____) tptp.v_i____) tptp.v_T____))) % 0.42/0.72 (define @t360 () (tptp.hAPP @t145 @t107)) % 0.42/0.72 (define @t361 () (tptp.hAPP @t360 @t5)) % 0.42/0.72 (define @t362 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Olift @t3) @t52)) % 0.42/0.72 (define @t363 () (@list @t3 @t52 @t125)) % 0.42/0.72 (define @t364 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t169) @t130)) % 0.42/0.72 (define @t365 () (tptp.c_HOL_Oord__class_Oless @t33 @t140 @t30)) % 0.42/0.72 (define @t366 () (tptp.tc_fun tptp.tc_nat tptp.tc_Lambda_OdB)) % 0.42/0.72 (define @t367 () (tptp.hAPP (tptp.c_COMBC tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB @t366) tptp.c_Lambda_Osubst)) % 0.42/0.72 (define @t368 () (tptp.c_COMBC tptp.tc_Lambda_OdB tptp.tc_nat tptp.tc_Lambda_OdB)) % 0.42/0.72 (define @t369 () (tptp.hAPP @t368 tptp.c_Lambda_Olift)) % 0.42/0.72 (define @t370 () (tptp.c_List_Omap (tptp.hAPP @t369 @t52) @t129 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.42/0.72 (define @t371 () (tptp.c_List_Omap (tptp.hAPP (tptp.hAPP @t368 (tptp.hAPP @t367 @t118)) @t52) @t129 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.42/0.72 (define @t372 () (@var "V_dB2_H" $$unsorted)) % 0.42/0.72 (define @t373 () (@var "V_dB1_H" $$unsorted)) % 0.42/0.72 (define @t374 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t373) @t372)) % 0.42/0.72 (define @t375 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t125) @t130)))) % 0.42/0.72 (define @t376 () (@list @t125 @t130)) % 0.42/0.72 (define @t377 () (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t130)))) % 0.42/0.72 (define @t378 () (@list @t130 @t52)) % 0.42/0.72 (define @t379 () (tptp.hAPP @t360 @t52)) % 0.42/0.72 (define @t380 () (tptp.hAPP @t379 @t245)) % 0.42/0.72 (define @t381 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t118)) % 0.42/0.72 (define @t382 () (tptp.hAPP @t28 (tptp.hAPP @t27 @t96))) % 0.42/0.72 (define @t383 () (tptp.c_Fun_Oid @t320)) % 0.42/0.72 (define @t384 () (tptp.c_Fun_Ocomp @t28 @t27 @t340 @t320 @t30)) % 0.42/0.72 (define @t385 () (@var "V_g" $$unsorted)) % 0.42/0.72 (define @t386 () (tptp.c_Fun_Ocomp @t146 @t385 @t320 @t30 @t340)) % 0.42/0.72 (define @t387 () (@var "V_R" $$unsorted)) % 0.42/0.72 (define @t388 () (tptp.c_HOL_Oord__class_Oless @t42 @t43 @t30)) % 0.42/0.72 (define @t389 () (not @t388)) % 0.42/0.72 (define @t390 () (not (tptp.class_Orderings_Oorder @t30))) % 0.42/0.72 (define @t391 () (not (tptp.class_Orderings_Opreorder @t30))) % 0.42/0.72 (define @t392 () (tptp.hAPP @t146 (tptp.hAPP @t385 @t43))) % 0.42/0.72 (define @t393 () (tptp.hAPP @t386 @t43)) % 0.42/0.72 (define @t394 () (@var "V_dB_H" $$unsorted)) % 0.42/0.72 (define @t395 () (tptp.c_Lambda_OdB_OAbs @t394)) % 0.42/0.72 (define @t396 () (not (tptp.c_HOL_Oord__class_Oless @t43 @t43 @t30))) % 0.42/0.72 (define @t397 () (not (tptp.class_Orderings_Olinorder @t30))) % 0.42/0.72 (define @t398 () (@list @t30 @t42 @t43)) % 0.42/0.72 (define @t399 () (not (= @t208 @t374))) % 0.42/0.72 (define @t400 () (@list @t207 @t206 @t373 @t372)) % 0.42/0.72 (define @t401 () (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t108) @t245)) % 0.42/0.72 (define @t402 () (@var "V_env" $$unsorted)) % 0.42/0.73 (define @t403 () (tptp.hAPP tptp.c_Type_Otyping @t402)) % 0.42/0.73 (define @t404 () (@var "T_d" $$unsorted)) % 0.42/0.73 (define @t405 () (@var "V_h" $$unsorted)) % 0.42/0.73 (define @t406 () (not (tptp.c_HOL_Oord__class_Oless @t50 @t52 tptp.tc_nat))) % 0.42/0.73 (define @t407 () (@var "V_type2_H" $$unsorted)) % 0.42/0.73 (define @t408 () (@var "V_type1_H" $$unsorted)) % 0.42/0.73 (define @t409 () (not (= @t116 (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t408) @t407)))) % 0.42/0.73 (define @t410 () (@list @t115 @t114 @t408 @t407)) % 0.42/0.73 (define @t411 () (@var "T_e" $$unsorted)) % 0.42/0.73 (define @t412 () (@var "V_g_H" $$unsorted)) % 0.42/0.73 (define @t413 () (@var "V_f_H" $$unsorted)) % 0.42/0.73 (define @t414 () (not (tptp.c_HOL_Oord__class_Oless @t27 @t28 @t30))) % 0.42/0.73 (define @t415 () (@var "V_T_H" $$unsorted)) % 0.42/0.73 (define @t416 () (@var "V_ia" $$unsorted)) % 0.42/0.73 (define @t417 () (@var "V_ea" $$unsorted)) % 0.42/0.73 (define @t418 () (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t118)))) % 0.42/0.73 (define @t419 () (tptp.hAPP tptp.c_Lambda_Osubst tptp.v_a____)) % 0.42/0.73 (define @t420 () (forall (@list @t118 @t416 @t417 @t415) (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.hAPP (tptp.hAPP @t419 @t118) @t416))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Type_Otyping @t417) @t118) tptp.v_T____))) @t418 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Type_Otyping (tptp.hAPP (tptp.hAPP (tptp.hAPP @t145 @t417) @t416) tptp.v_T____)) tptp.v_a____) @t415)))))) % 0.42/0.73 (define @t421 () (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t3)))) % 0.42/0.73 (define @t422 () (@list @t146 @t385 @t340 @t320)) % 0.42/0.73 (define @t423 () (@var "V_Ta" $$unsorted)) % 0.42/0.73 (define @t424 () (@var "V_T2" $$unsorted)) % 0.42/0.73 (define @t425 () (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t327))) % 0.42/0.73 (define @t426 () (@var "V_T1" $$unsorted)) % 0.42/0.73 (define @t427 () (not (= tptp.v_T____ (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t426) @t424)))) % 0.42/0.73 (define @t428 () (@list @t426 @t424 @t130 @t118 @t52 @t107 @t423)) % 0.42/0.73 (define @t429 () (tptp.hAPP @t359 tptp.v_a____)) % 0.42/0.73 (define @t430 () (@var "V_e_H" $$unsorted)) % 0.42/0.73 (define @t431 () (tptp.hAPP tptp.c_Type_Otyping @t430)) % 0.42/0.73 (define @t432 () (tptp.tc_fun tptp.tc_Type_Otype tptp.tc_bool)) % 0.42/0.73 (define @t433 () (tptp.tc_fun tptp.tc_nat tptp.tc_bool)) % 0.42/0.73 (define @t434 () (tptp.tc_fun tptp.tc_Lambda_OdB @t433)) % 0.42/0.73 (define @t435 () (tptp.tc_fun tptp.tc_nat tptp.tc_Type_Otype)) % 0.42/0.73 (define @t436 () (tptp.tc_fun tptp.tc_Lambda_OdB tptp.tc_bool)) % 0.42/0.73 (define @t437 () (tptp.tc_fun tptp.tc_Type_Otype @t436)) % 0.42/0.73 (define @t438 () (tptp.tc_fun tptp.tc_Lambda_OdB @t432)) % 0.42/0.73 (define @t439 () (tptp.tc_fun tptp.tc_bool tptp.tc_bool)) % 0.42/0.73 (define @t440 () (tptp.c_COMBB tptp.tc_bool @t439 tptp.tc_Lambda_OdB)) % 0.42/0.73 (define @t441 () (tptp.hAPP @t440 tptp.c_implies)) % 0.42/0.73 (define @t442 () (tptp.tc_fun tptp.tc_Lambda_OdB @t439)) % 0.42/0.73 (define @t443 () (tptp.tc_fun @t433 @t433)) % 0.42/0.73 (define @t444 () (tptp.hAPP (tptp.c_COMBB @t439 @t443 tptp.tc_Lambda_OdB) (tptp.c_COMBB tptp.tc_bool tptp.tc_bool tptp.tc_nat))) % 0.42/0.73 (define @t445 () (tptp.tc_fun tptp.tc_Lambda_OdB @t443)) % 0.42/0.73 (define @t446 () (tptp.c_COMBS tptp.tc_Lambda_OdB @t433 @t433)) % 0.42/0.73 (define @t447 () (tptp.tc_fun @t434 @t434)) % 0.42/0.73 (define @t448 () (tptp.tc_fun @t435 @t434)) % 0.42/0.73 (define @t449 () (tptp.tc_fun tptp.tc_nat @t435)) % 0.42/0.73 (define @t450 () (tptp.tc_fun tptp.tc_nat @t438)) % 0.42/0.73 (define @t451 () (tptp.tc_fun tptp.tc_nat @t432)) % 0.42/0.73 (define @t452 () (tptp.tc_fun tptp.tc_Type_Otype @t433)) % 0.42/0.73 (define @t453 () (tptp.tc_fun @t435 @t452)) % 0.42/0.73 (define @t454 () (tptp.tc_fun tptp.tc_nat @t439)) % 0.42/0.73 (define @t455 () (tptp.tc_fun tptp.tc_Type_Otype @t454)) % 0.42/0.73 (define @t456 () (tptp.tc_fun @t435 @t455)) % 0.42/0.73 (define @t457 () (tptp.tc_fun tptp.tc_Type_Otype @t443)) % 0.42/0.73 (define @t458 () (tptp.tc_fun @t435 @t457)) % 0.42/0.73 (define @t459 () (tptp.tc_fun tptp.tc_Type_Otype @t447)) % 0.42/0.73 (define @t460 () (tptp.tc_fun @t435 @t459)) % 0.42/0.73 (define @t461 () (tptp.tc_fun tptp.tc_Type_Otype @t434)) % 0.42/0.73 (define @t462 () (tptp.tc_fun @t434 @t461)) % 0.42/0.73 (define @t463 () (tptp.tc_fun @t435 @t462)) % 0.42/0.73 (define @t464 () (tptp.tc_fun @t435 @t461)) % 0.42/0.73 (define @t465 () (tptp.tc_fun @t435 @t437)) % 0.42/0.73 (define @t466 () (tptp.tc_fun @t435 @t432)) % 0.42/0.73 (define @t467 () (tptp.tc_fun @t435 tptp.tc_bool)) % 0.42/0.73 (define @t468 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Type_Otyping (tptp.hAPP (tptp.hAPP (tptp.hAPP @t145 tptp.v_x) tptp.v_xc) tptp.v_T____)) tptp.v_a____) tptp.v_xa))) % 0.42/0.73 (define @t469 () (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT tptp.v_xb))) % 0.42/0.73 (define @t470 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Type_Otyping tptp.v_x) tptp.v_xb) tptp.v_T____))) % 0.42/0.73 (define @t471 () (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.hAPP (tptp.hAPP @t419 tptp.v_xb) tptp.v_xc)))) % 0.42/0.73 (define @t472 () (@var "T_1" $$unsorted)) % 0.42/0.73 (define @t473 () (@var "T_2" $$unsorted)) % 0.42/0.73 (define @t474 () (tptp.tc_fun @t473 @t472)) % 0.42/0.73 (define @t475 () (@list @t473 @t472)) % 0.42/0.73 (define @t476 () (@var "V_Y" $$unsorted)) % 0.42/0.73 (define @t477 () (@var "V_X" $$unsorted)) % 0.42/0.73 (define @t478 () (not @t468)) % 0.42/0.73 (define @t479 () (not @t469)) % 0.42/0.73 (define @t480 () (not @t470)) % 0.42/0.73 (define @t481 () (or @t471 @t480 @t479 @t478)) % 0.42/0.73 (define @t482 () (not @t481)) % 0.42/0.73 (assume @p1 (forall (@list @t3 @t2 @t1) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t3 @t2 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) @t4)) (not (tptp.c_ListOrder_Ostep1 tptp.c_Lambda_Obeta @t2 @t1 tptp.tc_Lambda_OdB))))) % 0.42/0.73 (assume @p2 (forall @t14 (or (= @t13 (tptp.c_Suc (tptp.hAPP (tptp.hAPP @t11 @t10) @t8))) @t7))) % 0.42/0.73 (assume @p3 (forall @t18 (or (= @t8 @t17) @t16))) % 0.42/0.73 (assume @p4 (forall @t18 (or (= @t17 @t8) @t16))) % 0.42/0.73 (assume @p5 (forall @t14 (or (tptp.c_HOL_Oord__class_Oless @t21 @t6 tptp.tc_nat) @t20 @t16))) % 0.42/0.73 (assume @p6 (forall @t26 (or @t25 @t23))) % 0.42/0.73 (assume @p7 (forall @t14 (or @t22 (not @t25)))) % 0.42/0.73 (assume @p8 (forall (@list @t29 @t28 @t27) (or (tptp.hBOOL (tptp.hAPP @t29 @t5)) (not (tptp.c_HOL_Oord__class_Oless @t28 @t27 tptp.tc_nat)) (not (tptp.hBOOL (tptp.hAPP @t29 (tptp.c_HOL_Ominus__class_Ominus @t28 @t27 tptp.tc_nat))))))) % 0.42/0.73 (assume @p9 (forall @t37 (or @t36 @t35 @t32))) % 0.42/0.73 (assume @p10 (forall @t37 (or @t36 @t31 (not @t35)))) % 0.42/0.73 (assume @p11 (forall @t26 (or (= (tptp.hAPP @t38 @t21) @t6) @t22))) % 0.42/0.73 (assume @p12 (forall @t48 (or @t36 @t47 @t44 (not @t41)))) % 0.42/0.73 (assume @p13 (forall @t48 (or @t36 @t47 @t41 @t49))) % 0.42/0.73 (assume @p14 (forall @t57 (or @t56 (not @t55)))) % 0.42/0.73 (assume @p15 (forall @t58 (or @t55 (not @t56)))) % 0.42/0.73 (assume @p16 (forall (@list @t30 @t59 @t52) (or @t60 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat__aux @t59 @t5 @t52 @t30) @t52)))) % 0.42/0.73 (assume @p17 (forall @t26 (or (not (= @t24 @t5)) (not (= @t21 @t5)) @t61))) % 0.42/0.73 (assume @p18 (forall (@list @t50 @t8 @t51) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus @t50 @t8 tptp.tc_nat) @t51 tptp.tc_nat) @t62))) % 0.42/0.73 (assume @p19 (forall @t14 (= (tptp.c_HOL_Ominus__class_Ominus @t64 @t63 tptp.tc_nat) @t21))) % 0.42/0.73 (assume @p20 (forall @t65 (= (tptp.c_HOL_Ominus__class_Ominus @t6 @t5 tptp.tc_nat) @t6))) % 0.42/0.73 (assume @p21 (forall @t65 (= (tptp.c_HOL_Ominus__class_Ominus @t6 @t6 tptp.tc_nat) @t5))) % 0.42/0.73 (assume @p22 (forall @t70 (or @t69 @t68 @t67))) % 0.42/0.73 (assume @p23 (forall @t72 (or @t71 (= (tptp.c_HOL_Ominus__class_Ominus @t28 @t28 @t30) @t33)))) % 0.42/0.73 (assume @p24 (forall @t72 (or @t71 (= (tptp.c_HOL_Ominus__class_Ominus @t28 @t33 @t30) @t28)))) % 0.42/0.73 (assume @p25 (forall @t70 (or @t71 @t67))) % 0.42/0.73 (assume @p26 (forall @t70 (or @t73 @t67))) % 0.42/0.73 (assume @p27 (forall (@list @t74 @t8 @t6) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus @t74 @t8 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t74 @t6 tptp.tc_nat) tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless @t6 @t74 tptp.tc_nat)) @t23))) % 0.42/0.73 (assume @p28 (forall @t18 (= (tptp.c_HOL_Ominus__class_Ominus @t63 @t9 tptp.tc_nat) @t8))) % 0.42/0.73 (assume @p29 (forall @t37 (or @t71 (= (tptp.hAPP (tptp.hAPP @t75 @t34) @t27) @t28)))) % 0.42/0.73 (assume @p30 (forall (@list @t29 @t27 @t43) (or (not (tptp.hBOOL (tptp.hAPP @t29 (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP @t76 @t43) @t27 tptp.tc_nat)))) (tptp.hBOOL (tptp.hAPP @t29 @t43))))) % 0.42/0.73 (assume @p31 (forall (@list @t29 @t27 @t77) (or (not (tptp.hBOOL (tptp.hAPP @t29 (tptp.c_HOL_Ominus__class_Ominus (tptp.hAPP @t76 @t77) @t27 tptp.tc_nat)))) (tptp.hBOOL (tptp.hAPP @t29 @t77))))) % 0.42/0.73 (assume @p32 (forall @t14 (tptp.c_HOL_Oord__class_Oless @t21 @t64 tptp.tc_nat))) % 0.42/0.73 (assume @p33 (forall (@list @t30 @t59 @t8 @t52) (or @t60 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat__aux @t59 @t63 @t52 @t30) (tptp.c_Nat_Osemiring__1__class_Oof__nat__aux @t59 @t8 (tptp.hAPP @t59 @t52) @t30))))) % 0.42/0.73 (assume @p34 (forall @t26 (= (tptp.c_HOL_Ominus__class_Ominus @t8 @t78 tptp.tc_nat) @t5))) % 0.42/0.73 (assume @p35 (forall @t57 (= @t81 (tptp.c_HOL_Ominus__class_Ominus @t52 @t80 tptp.tc_nat)))) % 0.42/0.73 (assume @p36 (forall (@list @t30 @t82 @t42 @t43) (or @t73 (not (= (tptp.c_HOL_Ominus__class_Ominus @t82 @t42 @t30) @t66)) (= @t82 @t42)))) % 0.42/0.73 (assume @p37 (forall (@list @t30 @t43 @t40 @t39) (or @t73 (not (= @t66 @t45)) (= @t40 @t39)))) % 0.42/0.73 (assume @p38 (forall @t18 (= (tptp.c_HOL_Ominus__class_Ominus @t5 @t8 tptp.tc_nat) @t5))) % 0.42/0.73 (assume @p39 (forall @t85 (= (tptp.c_HOL_Ominus__class_Ominus @t84 @t83 tptp.tc_nat) @t21))) % 0.42/0.73 (assume @p40 (forall @t89 (= (tptp.c_HOL_Ominus__class_Ominus @t88 @t87 tptp.tc_nat) @t21))) % 0.42/0.73 (assume @p41 (forall @t91 (or @t69 @t68 (not (= @t46 @t33)) @t90))) % 0.42/0.73 (assume @p42 (forall @t37 (or @t71 @t93 @t92))) % 0.42/0.73 (assume @p43 (forall @t37 (or @t73 @t93 @t92))) % 0.42/0.73 (assume @p44 (forall @t57 (= @t81 (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Ominus__class_Ominus @t52 @t51 tptp.tc_nat) @t50 tptp.tc_nat)))) % 0.42/0.73 (assume @p45 (forall @t95 (= (tptp.c_HOL_Ominus__class_Ominus (tptp.c_HOL_Ominus__class_Ominus @t64 @t8 tptp.tc_nat) @t94 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t21 @t51 tptp.tc_nat)))) % 0.42/0.73 (assume @p46 (forall @t14 (= (tptp.c_HOL_Ominus__class_Ominus @t6 @t63 tptp.tc_nat) (tptp.c_HOL_Ominus__class_Ominus @t10 @t8 tptp.tc_nat)))) % 0.42/0.73 (assume @p47 (forall (@list @t2 @t8 @t96) (or (tptp.c_ListOrder_Ostep1 tptp.c_Lambda_Obeta @t2 @t100 tptp.tc_Lambda_OdB) @t99))) % 0.42/0.73 (assume @p48 (forall @t14 (= (tptp.c_HOL_Ominus__class_Ominus @t13 @t8 tptp.tc_nat) @t6))) % 0.42/0.73 (assume @p49 (forall @t26 (= (tptp.c_HOL_Ominus__class_Ominus @t78 @t8 tptp.tc_nat) @t6))) % 0.42/0.73 (assume @p50 (forall @t37 (or @t71 (= (tptp.c_HOL_Ominus__class_Ominus @t102 @t27 @t30) @t28)))) % 0.42/0.73 (assume @p51 (forall (@list @t8 @t52) (or (tptp.c_HOL_Oord__class_Oless (tptp.c_HOL_Ominus__class_Ominus @t8 @t103 tptp.tc_nat) @t8 tptp.tc_nat) @t16))) % 0.42/0.73 (assume @p52 (forall @t18 (or (= (tptp.c_Suc (tptp.c_HOL_Ominus__class_Ominus @t8 @t104 tptp.tc_nat)) @t8) @t16))) % 0.42/0.73 (assume @p53 (forall @t113 (or (= @t112 (tptp.hAPP @t107 @t106)) @t105))) % 0.42/0.73 (assume @p54 (forall @t117 (= (tptp.c_Type_Otype_Otype__size @t116) (tptp.hAPP (tptp.hAPP @t11 (tptp.hAPP (tptp.hAPP @t11 (tptp.c_Type_Otype_Otype__size @t115)) (tptp.c_Type_Otype_Otype__size @t114))) @t104)))) % 0.42/0.73 (assume @p55 (forall @t117 (= (tptp.c_Nat_Osize__class_Osize @t116 tptp.tc_Type_Otype) (tptp.hAPP (tptp.hAPP @t11 (tptp.hAPP (tptp.hAPP @t11 (tptp.c_Nat_Osize__class_Osize @t115 tptp.tc_Type_Otype)) (tptp.c_Nat_Osize__class_Osize @t114 tptp.tc_Type_Otype))) @t104)))) % 0.42/0.73 (assume @p56 (forall (@list @t96 @t8 @t2) (or (= @t96 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t97 @t100 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) @t99))) % 0.42/0.73 (assume @p57 (forall @t121 (or (= @t120 (tptp.c_Lambda_OdB_OVar @t106)) @t105))) % 0.42/0.73 (assume @p58 (forall @t128 (or (= @t127 @t124) @t123))) % 0.42/0.73 (assume @p59 (forall @t136 (or (tptp.c_Type_Otypings @t107 @t129 @t135) @t134))) % 0.42/0.73 (assume @p60 (forall @t136 (or (tptp.c_Type_Otypings @t107 @t129 @t137) @t134))) % 0.42/0.73 (assume @p61 (forall @t128 (or (= @t138 @t124) @t123))) % 0.42/0.73 (assume @p62 (forall @t141 (or @t60 (= @t140 (tptp.c_Nat_Osemiring__1__class_Oof__nat__aux (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t30 @t30 @t30) @t75) @t139) @t8 @t33 @t30))))) % 0.42/0.73 (assume @p63 (forall @t143 (or (tptp.hBOOL (tptp.hAPP @t142 (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun @t137 @t108 tptp.tc_Type_Otype tptp.tc_Type_Otype))) @t134))) % 0.42/0.73 (assume @p64 (forall @t143 (or (tptp.hBOOL (tptp.hAPP @t142 (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun @t135 @t108 tptp.tc_Type_Otype tptp.tc_Type_Otype))) @t134))) % 0.42/0.73 (assume @p65 (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Type_Otyping (tptp.hAPP (tptp.hAPP (tptp.hAPP @t145 tptp.v_ea______) tptp.v_ia______) tptp.v_T____)) @t144) tptp.v_T_Ha______))) % 0.42/0.73 (assume @p66 (forall (@list @t8 @t146 @t30) (= (tptp.c_Nat_Ocompow @t63 @t146 @t30 @t30) (tptp.c_Fun_Ocomp @t146 @t147 @t30 @t30 @t30)))) % 0.42/0.73 (assume @p67 (forall (@list @t3 @t30 @t43 @t42) (or @t150 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3 @t43) @t42)))))) % 0.42/0.73 (assume @p68 (forall @t14 (or @t153 @t152 @t151))) % 0.42/0.73 (assume @p69 (forall @t14 (or @t153 @t7 @t154))) % 0.42/0.73 (assume @p70 (forall (@list @t30 @t43 @t155) (or @t157 (= (tptp.hAPP @t156 (tptp.c_List_Ofoldl @t75 @t33 @t155 @t30 @t30)) (tptp.c_List_Ofoldl @t75 @t43 @t155 @t30 @t30))))) % 0.42/0.73 (assume @p71 (forall @t159 (or @t158 (not (= @t139 @t33))))) % 0.42/0.73 (assume @p72 (forall @t14 (or @t61 @t22 (not @t160)))) % 0.42/0.73 (assume @p73 (forall @t14 (or @t61 @t163 @t161))) % 0.42/0.73 (assume @p74 (forall @t26 (or (= @t8 @t6) @t163 @t161))) % 0.42/0.73 (assume @p75 (= @t104 @t164)) % 0.42/0.73 (assume @p76 (forall @t167 (or (= @t166 (tptp.c_Lambda_OdB_OVar (tptp.hAPP @t53 @t8))) @t165))) % 0.42/0.73 (assume @p77 (forall (@list @t8 @t125 @t51) (= (tptp.c_Lambda_Oliftn @t8 @t169 @t51) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Oliftn @t8 @t125 @t168))))) % 0.42/0.73 (assume @p78 (forall (@list @t30 @t28 @t170 @t27 @t77) (or @t174 (tptp.c_HOL_Oord__class_Oless @t173 @t172 @t30) (not (tptp.c_HOL_Oord__class_Oless @t170 @t77 @t30)) @t32))) % 0.42/0.73 (assume @p79 (forall (@list @t52 @t51 @t50 @t74) (or (tptp.c_HOL_Oord__class_Oless @t54 (tptp.hAPP @t79 @t74) tptp.tc_nat) @t175 @t105))) % 0.42/0.73 (assume @p80 (forall @t178 (not (= @t177 @t5)))) % 0.42/0.73 (assume @p81 (forall @t65 (not (= @t64 @t5)))) % 0.42/0.73 (assume @p82 (forall @t18 (tptp.c_HOL_Oord__class_Oless @t8 @t63 tptp.tc_nat))) % 0.42/0.73 (assume @p83 (forall @t181 @t180)) % 0.42/0.73 (assume @p84 (forall @t58 (or (tptp.c_HOL_Oord__class_Oless @t103 @t51 tptp.tc_nat) @t62 @t105))) % 0.42/0.73 (assume @p85 (forall (@list @t30 @t182) (or @t157 (= (tptp.c_List_Ofoldl @t75 @t33 @t182 @t30 @t30) @t183)))) % 0.42/0.73 (assume @p86 (forall @t72 (or @t184 (tptp.c_HOL_Oord__class_Oless @t28 (tptp.hAPP @t101 @t139) @t30)))) % 0.42/0.73 (assume @p87 (forall @t188 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t185 @t4) @t187)) @t186))) % 0.42/0.73 (assume @p88 (forall (@list @t130 @t51) (= (tptp.c_Lambda_Oliftn @t5 @t130 @t51) @t130))) % 0.42/0.73 (assume @p89 (forall (@list @t52 @t50) (not (tptp.c_HOL_Oord__class_Oless @t189 @t52 tptp.tc_nat)))) % 0.42/0.73 (assume @p90 (forall (@list @t50 @t52) (not (tptp.c_HOL_Oord__class_Oless (tptp.hAPP @t79 @t52) @t52 tptp.tc_nat)))) % 0.42/0.73 (assume @p91 (forall @t18 (not (= @t63 @t8)))) % 0.42/0.73 (assume @p92 (forall @t18 (not (= @t8 @t63)))) % 0.42/0.73 (assume @p93 (forall @t192 (or @t174 @t191 @t32))) % 0.42/0.73 (assume @p94 (forall @t192 (or @t193 @t191 @t32))) % 0.42/0.73 (assume @p95 (forall @t194 (or @t193 @t31 (not @t191)))) % 0.42/0.73 (assume @p96 (forall @t198 (or @t174 @t197 @t32))) % 0.42/0.73 (assume @p97 (forall @t198 (or @t193 @t197 @t32))) % 0.42/0.73 (assume @p98 (forall @t194 (or @t193 @t31 (not @t197)))) % 0.42/0.73 (assume @p99 (forall @t58 (or (tptp.c_HOL_Oord__class_Oless @t54 @t80 tptp.tc_nat) @t105))) % 0.42/0.73 (assume @p100 (forall @t95 (or @t22 (not @t199)))) % 0.42/0.73 (assume @p101 (forall @t89 (or @t199 @t23))) % 0.42/0.73 (assume @p102 (= @t201 @t104)) % 0.42/0.73 (assume @p103 (forall @t14 (or @t22 (not @t202)))) % 0.42/0.73 (assume @p104 (forall @t14 (or @t160 @t23))) % 0.42/0.73 (assume @p105 (forall @t204 (or @t60 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t13 @t30) (tptp.hAPP (tptp.hAPP @t75 @t203) @t140))))) % 0.42/0.73 (assume @p106 (forall @t14 (or @t205 @t152 @t151))) % 0.42/0.73 (assume @p107 (forall @t14 (or @t205 @t7 @t154))) % 0.42/0.73 (assume @p108 (forall @t209 (= (tptp.c_Lambda_OdB_OdB__size @t208) (tptp.hAPP (tptp.hAPP @t11 (tptp.hAPP (tptp.hAPP @t11 (tptp.c_Lambda_OdB_OdB__size @t207)) (tptp.c_Lambda_OdB_OdB__size @t206))) @t104)))) % 0.42/0.73 (assume @p109 (forall (@list @t125 @t51) (= (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Olift @t169) @t51) (tptp.c_Lambda_OdB_OAbs (tptp.hAPP @t210 @t168))))) % 0.42/0.73 (assume @p110 (forall @t213 (= (tptp.c_Lambda_OdB_OdB__size @t212) (tptp.hAPP (tptp.hAPP @t11 (tptp.c_Lambda_OdB_OdB__size @t211)) @t104)))) % 0.42/0.73 (assume @p111 (forall @t216 (or @t215 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t148 @t27) @t170))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3 @t28) @t27)))))) % 0.42/0.73 (assume @p112 (forall @t216 (or @t215 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t3 @t27) @t170))) (not (tptp.hBOOL (tptp.hAPP @t214 @t27)))))) % 0.42/0.73 (assume @p113 (not (= tptp.v_n____ tptp.v_i____))) % 0.42/0.73 (assume @p114 (forall (@list @t107 @t52 @t108 @t129) (or (tptp.hBOOL (tptp.hAPP @t221 (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun @t220 @t108 tptp.tc_Type_Otype tptp.tc_Type_Otype))) @t219))) % 0.42/0.73 (assume @p115 (forall @t224 (or @t223 (= (tptp.c_Lambda_Osubstn @t222 @t125 @t43) (tptp.c_Lambda_Oliftn @t43 @t125 @t5))))) % 0.42/0.73 (assume @p116 (forall (@list @t8 @t2) (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t98)) (not (tptp.c_List_Olistsp tptp.c_InductTermi_OIT @t2 tptp.tc_Lambda_OdB))))) % 0.42/0.73 (assume @p117 (forall @t231 (or (= @t230 (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst (tptp.hAPP @t227 @t225)) @t226) @t50)) (not (tptp.c_HOL_Oord__class_Oless @t50 @t225 tptp.tc_nat))))) % 0.42/0.73 (assume @p118 (forall @t231 (or (= @t230 (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t234) @t226) @t232)) @t233))) % 0.42/0.73 (assume @p119 (forall @t236 (or (= @t235 (tptp.c_Lambda_OdB_OVar @t225)) @t165))) % 0.42/0.73 (assume @p120 (forall (@list @t108 @t107 @t130) (or (= @t108 (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t240) @t239)) @t238))) % 0.42/0.73 (assume @p121 (forall (@list @t245 @t108 @t107 @t241 @t52 @t129 @t243) (or (= @t245 (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun @t247 @t108 tptp.tc_Type_Otype tptp.tc_Type_Otype)) @t246 @t244 @t242))) % 0.42/0.73 (assume @p122 (forall @t72 (or @t252 @t251 @t249))) % 0.42/0.73 (assume @p123 (forall @t72 (or @t252 @t248 (not @t251)))) % 0.42/0.73 (assume @p124 (forall @t253 (or @t184 (not (tptp.c_HOL_Oord__class_Oless @t203 @t33 @t30))))) % 0.42/0.73 (assume @p125 (forall @t37 (or @t256 (tptp.c_HOL_Oord__class_Oless @t102 @t33 @t30) (not (tptp.c_HOL_Oord__class_Oless @t27 @t33 @t30)) @t255))) % 0.42/0.73 (assume @p126 (forall @t72 (or @t252 @t257 @t255))) % 0.42/0.73 (assume @p127 (forall @t72 (or @t252 @t254 @t258))) % 0.42/0.73 (assume @p128 (forall @t72 (or @t259 @t254 @t258))) % 0.42/0.73 (assume @p129 (forall @t72 (or @t259 @t257 @t255))) % 0.42/0.73 (assume @p130 (forall @t159 (or @t184 (not (tptp.c_HOL_Oord__class_Oless @t139 @t33 @t30))))) % 0.42/0.73 (assume @p131 (forall @t37 (or @t256 (tptp.c_HOL_Oord__class_Oless @t33 @t102 @t30) (not (tptp.c_HOL_Oord__class_Oless @t33 @t27 @t30)) @t249))) % 0.42/0.73 (assume @p132 (forall @t159 (or @t184 (tptp.c_HOL_Oord__class_Oless @t33 @t139 @t30)))) % 0.42/0.73 (assume @p133 (forall @t260 (or @t184 (tptp.c_HOL_Oord__class_Oless @t27 @t173 @t30) (not (tptp.c_HOL_Oord__class_Oless @t27 @t170 @t30)) @t249))) % 0.42/0.73 (assume @p134 (forall @t159 (or @t60 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t5 @t30) @t33)))) % 0.42/0.73 (assume @p135 (forall @t204 (or @t184 @t261 @t23))) % 0.42/0.73 (assume @p136 (forall @t204 (or @t184 @t22 (not @t261)))) % 0.42/0.73 (assume @p137 (forall @t14 (or @t262 @t20))) % 0.42/0.73 (assume @p138 (forall @t14 (or @t262 @t16))) % 0.42/0.73 (assume @p139 (forall @t181 (tptp.c_HOL_Oord__class_Oless @t5 @t179 tptp.tc_nat))) % 0.42/0.73 (assume @p140 (forall @t18 (tptp.c_HOL_Oord__class_Oless @t5 @t63 tptp.tc_nat))) % 0.42/0.73 (assume @p141 (forall @t26 (or @t15 @t19 (not @t262)))) % 0.42/0.73 (assume @p142 (forall @t18 (or @t154 (not (tptp.c_HOL_Oord__class_Oless @t8 @t104 tptp.tc_nat))))) % 0.42/0.73 (assume @p143 (tptp.c_HOL_Oord__class_Oless @t5 @t104 tptp.tc_nat)) % 0.42/0.73 (assume @p144 (forall (@list @t125 @t130 @t263 @t265) (or (tptp.hBOOL (tptp.hAPP @t270 (tptp.hAPP @t267 @t265))) @t266 @t264))) % 0.42/0.73 (assume @p145 (forall (@list @t125 @t130 @t263) (or (tptp.hBOOL (tptp.hAPP @t270 (tptp.hAPP @t267 @t130))) @t264))) % 0.42/0.73 (assume @p146 (forall (@list @t125 @t130 @t265) (or (tptp.hBOOL (tptp.hAPP @t270 (tptp.hAPP @t268 @t265))) @t266))) % 0.42/0.73 (assume @p147 (forall @t188 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t4) @t187)) @t272))) % 0.42/0.73 (assume @p148 (forall @t274 (or (not (= @t273 @t187)) (= @t273 @t125)))) % 0.42/0.73 (assume @p149 (forall @t277 (or @t276 @t275))) % 0.42/0.73 (assume @p150 (forall @t277 (or @t276 @t278))) % 0.42/0.73 (assume @p151 (forall (@list @t125 @t1 @t3) (or (not (= @t187 @t273)) (= @t125 @t273)))) % 0.42/0.73 (assume @p152 (forall (@list @t130 @t125) (= (tptp.c_Lambda_Osubstn @t130 @t125 @t5) (tptp.hAPP @t229 @t5)))) % 0.42/0.73 (assume @p153 (forall (@list @t125 @t3) (or (= @t125 (tptp.c_Lambda_OdB_OAbs @t280)) @t279))) % 0.42/0.73 (assume @p154 (= @t9 @t104)) % 0.42/0.73 (assume @p155 (forall (@list @t30 @t182 @t28) (or @t282 (= (tptp.c_List_Ofoldr @t75 @t182 @t28 @t30 @t30) @t281)))) % 0.42/0.73 (assume @p156 (forall @t285 (or (not (= (tptp.c_Suc @t283) @t177)) @t284))) % 0.42/0.73 (assume @p157 (forall (@list @t43 @t42) (or (not (= @t179 (tptp.c_Suc @t42))) @t90))) % 0.42/0.73 (assume @p158 (forall @t72 (or @t252 (not (= @t250 @t33)) @t286))) % 0.42/0.73 (assume @p159 (forall @t14 (or @t287 @t154))) % 0.42/0.73 (assume @p160 (forall @t14 (or @t287 @t7))) % 0.42/0.73 (assume @p161 (forall (@list @t8 @t130 @t51) (= (tptp.c_Lambda_Oliftn @t63 @t130 @t51) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Olift @t288) @t51)))) % 0.42/0.73 (assume @p162 (forall (@list @t43 @t28) (or (not (= @t43 (tptp.hAPP @t289 @t28))) (= @t28 @t5)))) % 0.42/0.73 (assume @p163 (forall @t14 (or (not (= @t13 @t6)) @t154))) % 0.42/0.73 (assume @p164 (forall (@list @t30 @t43 @t28) (or @t69 @t68 (not (= @t43 (tptp.hAPP @t156 @t28))) @t286))) % 0.42/0.73 (assume @p165 (forall @t204 (or (not (tptp.class_Nat_Osemiring__char__0 @t30)) (not (= @t203 @t140)) @t61))) % 0.42/0.73 (assume @p166 (forall (@list @t30 @t43 @t42 @t155) (or (not (tptp.class_OrderedGroup_Osemigroup__add @t30)) (= (tptp.c_List_Ofoldl @t75 @t290 @t155 @t30 @t30) (tptp.hAPP @t156 (tptp.c_List_Ofoldl @t75 @t42 @t155 @t30 @t30)))))) % 0.42/0.73 (assume @p167 (forall @t91 (or @t292 (= @t290 (tptp.hAPP @t291 @t43))))) % 0.42/0.73 (assume @p168 (forall (@list @t6 @t74 @t51 @t8) (or (not (= (tptp.hAPP @t12 @t74) @t87)) @t175 @t22))) % 0.42/0.73 (assume @p169 (forall @t14 (= @t13 @t78))) % 0.42/0.73 (assume @p170 (forall @t37 (or @t294 (= @t102 @t293)))) % 0.42/0.73 (assume @p171 (forall (@list @t30 @t28 @t170) (or @t292 (= @t173 @t196)))) % 0.42/0.73 (assume @p172 (forall @t295 (= (tptp.c_Lambda_Osubstn @t237 @t125 @t51) (tptp.c_Lambda_OdB_OAbs (tptp.c_Lambda_Osubstn @t130 @t125 @t168))))) % 0.42/0.73 (assume @p173 (forall (@list @t52 @t6 @t50) (or (tptp.c_HOL_Oord__class_Oless @t52 (tptp.hAPP @t12 @t50) tptp.tc_nat) @t105))) % 0.42/0.73 (assume @p174 (forall (@list @t52 @t50 @t6) (or (tptp.c_HOL_Oord__class_Oless @t52 (tptp.hAPP @t79 @t6) tptp.tc_nat) @t105))) % 0.42/0.73 (assume @p175 (forall @t58 (or @t165 (not (tptp.c_HOL_Oord__class_Oless @t189 @t51 tptp.tc_nat))))) % 0.42/0.73 (assume @p176 (forall @t300 (or @t299 (not (tptp.c_HOL_Oord__class_Oless @t43 @t296 tptp.tc_nat))))) % 0.42/0.73 (assume @p177 (forall @t300 (or @t299 (not @t301)))) % 0.42/0.73 (assume @p178 (forall (@list @t6 @t43) (tptp.c_HOL_Oord__class_Oless @t6 (tptp.c_Suc (tptp.hAPP @t12 @t43)) tptp.tc_nat))) % 0.42/0.73 (assume @p179 (forall @t302 (tptp.c_HOL_Oord__class_Oless @t52 (tptp.c_Suc (tptp.hAPP @t12 @t52)) tptp.tc_nat))) % 0.42/0.73 (assume @p180 (forall @t302 (tptp.c_HOL_Oord__class_Oless @t52 (tptp.c_Suc (tptp.hAPP @t53 @t6)) tptp.tc_nat))) % 0.42/0.73 (assume @p181 (forall @t65 (not (= @t5 @t64)))) % 0.42/0.73 (assume @p182 (forall @t178 (not (= @t5 @t177)))) % 0.42/0.73 (assume @p183 (forall @t14 (= @t304 @t303))) % 0.42/0.73 (assume @p184 (forall @t14 (= @t305 @t303))) % 0.42/0.73 (assume @p185 (forall (@list @t3 @t30 @t43 @t296 @t42) (or (tptp.hBOOL (tptp.hAPP @t149 @t296)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t148 @t42) @t296))) (not @t150)))) % 0.42/0.73 (assume @p186 (forall (@list @t3 @t30 @t43) (tptp.hBOOL (tptp.hAPP @t149 @t43)))) % 0.42/0.73 (assume @p187 (forall (@list @t3 @t30 @t28) (tptp.hBOOL (tptp.hAPP @t214 @t28)))) % 0.42/0.73 (assume @p188 (forall (@list @t6 @t8 @t146 @t30) (= (tptp.c_Nat_Ocompow @t13 @t146 @t30 @t30) (tptp.c_Fun_Ocomp (tptp.c_Nat_Ocompow @t6 @t146 @t30 @t30) @t147 @t30 @t30 @t30)))) % 0.42/0.73 (assume @p189 (= @t164 @t104)) % 0.42/0.73 (assume @p190 (forall @t18 (= @t63 (tptp.hAPP (tptp.hAPP @t11 @t9) @t8)))) % 0.42/0.73 (assume @p191 (forall @t18 (= @t63 (tptp.hAPP @t38 @t9)))) % 0.42/0.73 (assume @p192 (forall (@list @t130 @t125 @t8) (= (tptp.c_Lambda_Osubstn @t130 @t125 @t8) (tptp.hAPP (tptp.hAPP @t228 (tptp.c_Lambda_Oliftn @t8 @t125 @t5)) @t8)))) % 0.42/0.73 (assume @p193 (forall @t159 (or @t252 (= (tptp.hAPP @t306 @t33) @t33)))) % 0.42/0.73 (assume @p194 (= (tptp.hAPP @t200 @t5) @t5)) % 0.42/0.73 (assume @p195 (forall @t308 (or @t292 (= @t307 (tptp.hAPP (tptp.hAPP @t75 @t290) @t296))))) % 0.42/0.73 (assume @p196 (forall @t308 (or @t73 (= @t307 (tptp.hAPP @t291 @t309))))) % 0.42/0.73 (assume @p197 (forall @t300 (= (tptp.hAPP @t289 @t298) (tptp.hAPP @t297 @t310)))) % 0.42/0.73 (assume @p198 (forall @t95 (= (tptp.hAPP (tptp.hAPP @t11 @t13) @t51) (tptp.hAPP @t12 @t83)))) % 0.42/0.73 (assume @p199 (forall @t194 (or @t294 @t314))) % 0.42/0.73 (assume @p200 (forall @t194 (or @t294 (= @t311 (tptp.hAPP @t171 @t173))))) % 0.42/0.73 (assume @p201 (forall @t194 (or @t282 @t314))) % 0.42/0.73 (assume @p202 (forall @t318 (or @t292 (= @t317 (tptp.hAPP @t315 @t77))))) % 0.42/0.73 (assume @p203 (forall @t194 (or @t292 (= @t313 (tptp.hAPP @t315 @t27))))) % 0.42/0.73 (assume @p204 (forall @t318 (or @t292 (= @t317 (tptp.hAPP @t195 (tptp.hAPP @t101 @t77)))))) % 0.42/0.73 (assume @p205 (forall @t194 (or @t292 @t314))) % 0.42/0.73 (assume @p206 (forall (@list @t30 @t43 @t42 @t296 @t118) (or @t73 (not (= @t307 (tptp.hAPP @t291 @t118))) (= @t309 @t118)))) % 0.42/0.73 (assume @p207 (forall (@list @t29 @t30 @t320 @t319) (= (tptp.hAPP (tptp.c_COMBK @t29 @t30 @t320) @t319) @t29))) % 0.42/0.73 (assume @p208 (= @t104 @t201)) % 0.42/0.73 (assume @p209 (forall @t159 (or @t60 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t9 @t30) @t139)))) % 0.42/0.73 (assume @p210 (forall @t159 (or @t158 (not (= @t33 @t139))))) % 0.42/0.73 (assume @p211 (forall (@list @t146 @t8 @t30 @t43) (= (tptp.hAPP @t146 (tptp.hAPP @t147 @t43)) (tptp.hAPP @t147 @t321)))) % 0.42/0.73 (assume @p212 (forall @t14 (or @t153 @t152 @t154))) % 0.42/0.73 (assume @p213 (forall @t14 (or @t153 @t7 @t151))) % 0.42/0.73 (assume @p214 (forall @t253 (or @t60 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t64 @t30) (tptp.hAPP @t322 @t203))))) % 0.42/0.73 (assume @p215 (forall @t14 (= @t304 @t305))) % 0.42/0.73 (assume @p216 (forall @t209 (= (tptp.c_Nat_Osize__class_Osize @t208 tptp.tc_Lambda_OdB) (tptp.hAPP (tptp.hAPP @t11 (tptp.hAPP (tptp.hAPP @t11 (tptp.c_Nat_Osize__class_Osize @t207 tptp.tc_Lambda_OdB)) (tptp.c_Nat_Osize__class_Osize @t206 tptp.tc_Lambda_OdB))) @t104)))) % 0.42/0.73 (assume @p217 (forall (@list @t30 @t28 @t182) (or @t157 (= @t281 (tptp.hAPP @t101 @t183))))) % 0.42/0.73 (assume @p218 (forall @t14 (or @t202 (= @t64 @t8) @t23))) % 0.42/0.73 (assume @p219 (forall @t300 (or (not (= (tptp.hAPP @t289 @t42) @t310)) @t323))) % 0.42/0.73 (assume @p220 (forall @t85 (or (not (= @t84 @t83)) @t61))) % 0.42/0.73 (assume @p221 (forall @t89 (or (not (= @t88 @t87)) @t61))) % 0.42/0.73 (assume @p222 (forall @t308 (or @t69 @t68 (not (= @t290 @t309)) @t323))) % 0.42/0.73 (assume @p223 (forall @t194 (or (not (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add @t30)) @t325 @t324))) % 0.42/0.73 (assume @p224 (forall @t194 (or @t326 @t325 @t324))) % 0.42/0.73 (assume @p225 (forall @t260 (or @t326 (not (= @t293 @t196)) @t324))) % 0.42/0.73 (assume @p226 (forall (@list @t130 @t96 @t52 @t50 @t118) (or (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst (tptp.hAPP (tptp.hAPP @t228 (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Olift @t96) @t52)) (tptp.c_Suc @t50))) (tptp.hAPP (tptp.hAPP @t328 @t96) @t50)) @t52) (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t327) @t96) @t50)) @t233))) % 0.42/0.73 (assume @p227 (forall (@list @t3 @t129 @t125) (or (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t3 @t129 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t125 @t129 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) @t278))) % 0.42/0.73 (assume @p228 (forall @t14 (or @t205 @t152 @t154))) % 0.42/0.73 (assume @p229 (forall @t14 (or @t205 @t7 @t151))) % 0.42/0.73 (assume @p230 (forall (@list @t30 @t28 @t27 @t170 @t77) (or @t292 (= (tptp.hAPP @t312 @t316) (tptp.hAPP @t315 @t172))))) % 0.42/0.73 (assume @p231 (forall @t213 (= (tptp.c_Nat_Osize__class_Osize @t212 tptp.tc_Lambda_OdB) (tptp.hAPP (tptp.hAPP @t11 (tptp.c_Nat_Osize__class_Osize @t211 tptp.tc_Lambda_OdB)) @t104)))) % 0.42/0.73 (assume @p232 (forall (@list @t8 @t125 @t130 @t51) (= (tptp.c_Lambda_Oliftn @t8 @t269 @t51) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Oliftn @t8 @t125 @t51)) @t288)))) % 0.42/0.73 (assume @p233 (forall @t181 (or @t223 @t180))) % 0.42/0.73 (assume @p234 (forall @t14 (or @t23 @t163))) % 0.42/0.73 (assume @p235 (forall @t26 (or @t162 @t22))) % 0.42/0.73 (assume @p236 (forall (@list @t130 @t52 @t51) (or (= (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Olift @t234) @t94) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Olift @t329) @t52)) (not (tptp.c_HOL_Oord__class_Oless @t52 @t168 tptp.tc_nat))))) % 0.42/0.73 (assume @p237 (forall @t159 (or @t184 (tptp.c_HOL_Oord__class_Oless @t33 (tptp.hAPP @t322 @t139) @t30)))) % 0.42/0.73 (assume @p238 (forall (@list @t3 @t30) (= (tptp.c_Transitive__Closure_Ortranclp @t148 @t30) @t148))) % 0.42/0.73 (assume @p239 (forall @t70 (or @t292 (= (tptp.hAPP @t306 @t43) @t43)))) % 0.42/0.73 (assume @p240 (forall @t72 (or @t294 @t330))) % 0.42/0.73 (assume @p241 (forall @t181 (= @t43 (tptp.hAPP @t289 @t5)))) % 0.42/0.73 (assume @p242 (forall @t18 (= (tptp.hAPP @t200 @t8) @t8))) % 0.42/0.73 (assume @p243 (forall @t65 (= (tptp.hAPP @t12 @t5) @t6))) % 0.42/0.73 (assume @p244 (forall @t70 (or @t69 @t68 (= @t43 (tptp.hAPP @t156 @t33))))) % 0.42/0.73 (assume @p245 (forall @t72 (or @t294 @t331))) % 0.42/0.73 (assume @p246 (forall @t72 (or @t157 @t330))) % 0.42/0.73 (assume @p247 (forall @t72 (or @t157 @t331))) % 0.42/0.73 (assume @p248 (forall @t72 (or @t292 @t331))) % 0.42/0.73 (assume @p249 (forall @t72 (or @t292 @t330))) % 0.42/0.73 (assume @p250 (forall @t334 (= (tptp.c_Lambda_Osubstn @t333 @t125 @t51) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Osubstn @t130 @t125 @t51)) (tptp.c_Lambda_Osubstn @t118 @t125 @t51))))) % 0.42/0.73 (assume @p251 (forall (@list @t43 @t8) (or (tptp.c_HOL_Oord__class_Oless @t179 @t63 tptp.tc_nat) (not (tptp.c_HOL_Oord__class_Oless @t43 @t8 tptp.tc_nat))))) % 0.42/0.73 (assume @p252 (forall @t14 (or @t22 (not @t335)))) % 0.42/0.73 (assume @p253 (forall @t14 (or @t335 @t23))) % 0.42/0.73 (assume @p254 (forall (@list @t125 @t263) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t185 @t169) (tptp.c_Lambda_OdB_OAbs @t263))) @t264))) % 0.42/0.73 (assume @p255 (forall (@list @t3 @t125) (or (tptp.hBOOL (tptp.hAPP @t271 @t280)) @t279))) % 0.42/0.73 (assume @p256 (forall @t337 (= (tptp.c_Lambda_OdB_OdB__size @t336) @t5))) % 0.42/0.73 (assume @p257 (forall @t337 (= (tptp.c_Nat_Osize__class_Osize @t336 tptp.tc_Lambda_OdB) @t5))) % 0.42/0.73 (assume @p258 (forall @t167 (or (= @t166 @t126) @t338))) % 0.42/0.73 (assume @p259 (forall @t128 (or (= @t138 @t126) @t339 @t122))) % 0.42/0.73 (assume @p260 (forall (@list @t170 @t320 @t340 @t146) (= (tptp.hAPP (tptp.c_Fun_Ocomp (tptp.c_COMBK @t170 @t320 @t340) @t146 @t340 @t320 tptp.t_a) tptp.v_x) @t170))) % 0.42/0.73 (assume @p261 (forall @t342 (or @t341 @t272))) % 0.42/0.73 (assume @p262 (forall @t347 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t185 @t346) @t344)) @t186))) % 0.42/0.73 (assume @p263 (forall @t342 (or @t341 @t186))) % 0.42/0.73 (assume @p264 (forall (@list @t6 @t125 @t1) (or (not (= @t348 @t187)) (= @t348 @t125)))) % 0.42/0.73 (assume @p265 (forall @t351 (or @t350 @t275))) % 0.42/0.73 (assume @p266 (forall @t351 (or @t350 @t61))) % 0.42/0.73 (assume @p267 (forall (@list @t146 @t30) (= (tptp.c_Nat_Ocompow @t5 @t146 @t30 @t30) @t352))) % 0.42/0.73 (assume @p268 (forall (@list @t107 @t118 @t108 @t130) (or (tptp.hBOOL (tptp.hAPP @t355 @t354)) @t353))) % 0.42/0.73 (assume @p269 (forall @t295 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t237) @t125) @t51) (tptp.c_Lambda_OdB_OAbs (tptp.hAPP (tptp.hAPP @t228 (tptp.hAPP @t210 @t5)) @t168))))) % 0.42/0.73 (assume @p270 (forall @t358 (or @t357 @t356 @t266))) % 0.42/0.73 (assume @p271 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t359 @t144) tptp.v_T_H____))) % 0.42/0.73 (assume @p272 (forall (@list @t30 @t107 @t52 @t245 @t108) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t109 (tptp.hAPP @t111 @t245)) @t5) @t108) (tptp.hAPP (tptp.hAPP (tptp.hAPP @t109 (tptp.hAPP (tptp.hAPP @t110 @t5) @t108)) @t103) @t245)))) % 0.42/0.73 (assume @p273 (forall (@list @t107 @t241 @t108 @t245 @t52 @t129 @t243) (or (tptp.c_Type_Otypings @t107 @t241 @t247) @t246 @t244 @t242))) % 0.42/0.73 (assume @p274 (forall (@list @t107 @t129 @t108 @t52) (or (tptp.c_Type_Otypings @t107 @t129 @t220) @t219))) % 0.42/0.73 (assume @p275 (forall (@list @t107 @t108 @t130) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Type_Otyping (tptp.hAPP @t361 @t240)) @t130) @t239)) @t238))) % 0.42/0.73 (assume @p276 (forall (@list @t107 @t130 @t108) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Type_Otyping (tptp.hAPP @t361 (tptp.c_Type_Osko__Type__Xabs__typeE__1__1 @t107 @t130))) @t130) (tptp.c_Type_Osko__Type__Xabs__typeE__1__2 @t107 @t130))) @t238))) % 0.42/0.73 (assume @p277 (forall @t363 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t185 @t362) @t226)) @t186))) % 0.42/0.73 (assume @p278 (forall (@list @t107 @t130 @t129 @t108 @t243) (or @t133 @t244 (not (tptp.hBOOL (tptp.hAPP @t142 (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun @t243 @t108 tptp.tc_Type_Otype tptp.tc_Type_Otype))))))) % 0.42/0.73 (assume @p279 (forall (@list @t125 @t130 @t8 @t1) (not (= @t364 @t349)))) % 0.42/0.73 (assume @p280 (forall (@list @t8 @t129 @t3 @t1) (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t97 @t129 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t273 @t1 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))))) % 0.42/0.73 (assume @p281 (forall (@list @t108 @t245 @t107 @t52 @t129) (or (= @t108 @t245) @t246 @t219))) % 0.42/0.73 (assume @p282 (forall (@list @t107 @t130 @t108 @t118) (or (tptp.hBOOL (tptp.hAPP @t142 (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t354) @t108))) @t353))) % 0.42/0.73 (assume @p283 (forall @t141 (or @t184 @t365 @t16))) % 0.42/0.73 (assume @p284 (forall @t141 (or @t184 @t15 (not @t365)))) % 0.42/0.73 (assume @p285 (forall @t274 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t273) @t125) @t1 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t125))) (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.hAPP (tptp.hAPP @t345 @t125) @t5) @t1 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))))))) % 0.42/0.73 (assume @p286 (tptp.c_List_Olistsp tptp.c_InductTermi_OIT (tptp.c_List_Omap (tptp.hAPP (tptp.hAPP @t368 (tptp.hAPP @t367 tptp.v_u____)) tptp.v_i____) tptp.v_as____ tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) tptp.tc_Lambda_OdB)) % 0.42/0.73 (assume @p287 (forall (@list @t130 @t129 @t52) (= (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Olift @t131) @t52) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t234 @t370 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.42/0.73 (assume @p288 (forall (@list @t129) (or (tptp.c_List_Olistsp tptp.c_InductTermi_OIT (tptp.c_List_Omap (tptp.hAPP @t369 @t5) @t129 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) tptp.tc_Lambda_OdB) (not (tptp.c_List_Olistsp tptp.c_InductTermi_OIT @t129 tptp.tc_Lambda_OdB))))) % 0.42/0.73 (assume @p289 (forall (@list @t130 @t129 @t118 @t52) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t131) @t118) @t52) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t327 @t371 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.42/0.73 (assume @p290 (forall (@list @t373 @t372 @t283) (not (= @t374 @t336)))) % 0.42/0.73 (assume @p291 (forall @t70 (= (tptp.hAPP @t352 @t43) @t43))) % 0.42/0.73 (assume @p292 (forall @t376 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t169) @t237)) @t375))) % 0.42/0.73 (assume @p293 (forall @t378 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.hAPP @t332 @t126))) @t377))) % 0.42/0.73 (assume @p294 (forall @t363 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t362) @t226)) @t272))) % 0.42/0.73 (assume @p295 (forall @t236 (or (= @t235 @t126) @t338))) % 0.42/0.73 (assume @p296 (forall (@list @t107 @t52 @t245 @t129 @t243) (or (tptp.c_Type_Otypings @t380 @t370 @t243) @t244))) % 0.42/0.73 (assume @p297 (forall (@list @t125 @t118 @t130) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta (tptp.hAPP @t268 @t118)) @t333)) @t375))) % 0.42/0.73 (assume @p298 (forall (@list @t118 @t125 @t130) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta (tptp.hAPP @t381 @t125)) (tptp.hAPP @t381 @t130))) @t375))) % 0.42/0.73 (assume @p299 (forall (@list @t28 @t27 @t340 @t320 @t30 @t170 @t96) (or (not (= @t384 (tptp.c_Fun_Ocomp @t383 @t170 @t320 @t320 @t30))) (= @t382 (tptp.hAPP @t170 @t96))))) % 0.42/0.73 (assume @p300 (forall (@list @t146 @t385 @t182 @t340 @t320 @t30) (= (tptp.c_List_Omap @t146 (tptp.c_List_Omap @t385 @t182 @t340 @t320) @t320 @t30) (tptp.c_List_Omap @t386 @t182 @t340 @t30)))) % 0.42/0.73 (assume @p301 (forall @t224 (or @t223 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t222) @t125) @t43) @t125)))) % 0.42/0.73 (assume @p302 (forall (@list @t320 @t340 @t30 @t29 @t319 @t387) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t320 @t340 @t30) @t29) @t319) @t387) (tptp.hAPP (tptp.hAPP @t29 @t387) @t319)))) % 0.42/0.73 (assume @p303 (forall @t18 (not (tptp.c_HOL_Oord__class_Oless @t8 @t5 tptp.tc_nat)))) % 0.42/0.73 (assume @p304 (forall @t65 (not (tptp.c_HOL_Oord__class_Oless @t6 @t5 tptp.tc_nat)))) % 0.42/0.73 (assume @p305 (forall (@list @t30 @t296 @t43 @t42) (or @t390 (tptp.c_HOL_Oord__class_Oless @t296 @t43 @t30) (not (tptp.c_HOL_Oord__class_Oless @t296 @t42 @t30)) @t389))) % 0.42/0.73 (assume @p306 (forall (@list @t30 @t43 @t296 @t42) (or @t391 (tptp.c_HOL_Oord__class_Oless @t43 @t296 @t30) (not (tptp.c_HOL_Oord__class_Oless @t42 @t296 @t30)) @t49))) % 0.42/0.73 (assume @p307 (forall (@list @t320 @t385 @t30) (= (tptp.c_Fun_Ocomp @t383 @t385 @t320 @t320 @t30) @t385))) % 0.42/0.73 (assume @p308 (forall (@list @t146 @t30 @t320) (= (tptp.c_Fun_Ocomp @t146 @t352 @t30 @t320 @t30) @t146))) % 0.42/0.73 (assume @p309 (forall @t128 (or (= @t127 @t126) @t339 @t122))) % 0.42/0.73 (assume @p310 (forall (@list @t125 @t130 @t51) (= (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Olift @t269) @t51) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.hAPP @t210 @t51)) @t329)))) % 0.42/0.73 (assume @p311 (forall (@list @t146 @t385 @t320 @t30 @t340 @t43) (= @t393 @t392))) % 0.42/0.73 (assume @p312 (forall (@list @t28 @t27 @t96 @t340 @t320 @t30) (= @t382 (tptp.hAPP @t384 @t96)))) % 0.42/0.73 (assume @p313 (forall (@list @t283 @t394) (not (= @t336 @t395)))) % 0.42/0.73 (assume @p314 (forall (@list @t211 @t394) (or (not (= @t212 @t395)) (= @t211 @t394)))) % 0.42/0.73 (assume @p315 (forall (@list @t283 @t373 @t372) (not (= @t336 @t374)))) % 0.42/0.73 (assume @p316 (forall @t181 (not @t223))) % 0.42/0.73 (assume @p317 (forall @t18 (not (tptp.c_HOL_Oord__class_Oless @t8 @t8 tptp.tc_nat)))) % 0.42/0.73 (assume @p318 (forall @t70 (or @t390 @t396))) % 0.42/0.73 (assume @p319 (forall @t70 (or @t397 @t396))) % 0.42/0.73 (assume @p320 (forall @t70 (or @t391 @t396))) % 0.42/0.73 (assume @p321 (forall @t376 (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t364) (tptp.hAPP @t343 @t5))))) % 0.42/0.73 (assume @p322 (forall @t398 (or @t259 @t388 @t44 @t90))) % 0.42/0.73 (assume @p323 (forall @t91 (or @t397 @t90 @t388 @t44))) % 0.42/0.73 (assume @p324 (forall @t26 (or @t161 @t22 @t61))) % 0.42/0.73 (assume @p325 (forall (@list @t29 @t8 @t6) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t29 @t8) @t6)) @t161 @t61 @t22))) % 0.42/0.73 (assume @p326 (forall (@list @t42 @t43) (or (tptp.c_HOL_Oord__class_Oless @t42 @t43 tptp.tc_nat) @t301 @t90))) % 0.42/0.73 (assume @p327 (forall @t398 (or @t397 @t388 @t44 @t90))) % 0.42/0.73 (assume @p328 (forall @t398 (or @t397 @t388 @t90 @t44))) % 0.42/0.73 (assume @p329 (forall @t91 (or @t397 @t90 @t44 @t388))) % 0.42/0.73 (assume @p330 (forall @t400 (or @t399 (= @t206 @t372)))) % 0.42/0.73 (assume @p331 (forall @t400 (or @t399 (= @t207 @t373)))) % 0.42/0.73 (assume @p332 (forall (@list @t402 @t125 @t130 @t245 @t108) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t403 @t269) @t245)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t403 @t130) @t108))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t403 @t125) @t401)))))) % 0.42/0.73 (assume @p333 (forall (@list @t52 @t130) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t126) @t130))))) % 0.42/0.73 (assume @p334 (forall (@list @t146 @t385 @t320 @t340 @t30 @t43) (= (tptp.hAPP (tptp.c_Fun_Ofcomp @t146 @t385 @t320 @t340 @t30) @t43) (tptp.hAPP @t385 @t321)))) % 0.42/0.73 (assume @p335 (forall @t18 (or @t15 @t154))) % 0.42/0.73 (assume @p336 (forall (@list @t146 @t385 @t405 @t404 @t340 @t30 @t320) (= (tptp.c_Fun_Ocomp @t146 (tptp.c_Fun_Ocomp @t385 @t405 @t404 @t340 @t30) @t340 @t320 @t30) (tptp.c_Fun_Ocomp (tptp.c_Fun_Ocomp @t146 @t385 @t340 @t320 @t404) @t405 @t404 @t320 @t30)))) % 0.42/0.73 (assume @p337 (not (tptp.c_HOL_Oord__class_Oless @t5 @t5 tptp.tc_nat))) % 0.42/0.73 (assume @p338 (forall @t121 (or (= @t120 @t119) @t406))) % 0.42/0.73 (assume @p339 (forall (@list @t146 @t320 @t30) (= (tptp.c_Fun_Ofcomp @t146 @t383 @t30 @t320 @t320) @t146))) % 0.42/0.73 (assume @p340 (forall (@list @t30 @t385 @t320) (= (tptp.c_Fun_Ofcomp @t352 @t385 @t30 @t30 @t320) @t385))) % 0.42/0.73 (assume @p341 (forall @t410 (or @t409 (= @t114 @t407)))) % 0.42/0.73 (assume @p342 (forall @t410 (or @t409 (= @t115 @t408)))) % 0.42/0.73 (assume @p343 (forall (@list @t394 @t207 @t206) (not (= @t395 @t208)))) % 0.42/0.73 (assume @p344 (forall @t285 (or (not (= @t336 (tptp.c_Lambda_OdB_OVar @t176))) @t284))) % 0.42/0.73 (assume @p345 (forall (@list @t207 @t206 @t394) (not (= @t208 @t395)))) % 0.42/0.73 (assume @p346 (forall (@list @t394 @t283) (not (= @t395 @t336)))) % 0.42/0.73 (assume @p347 (forall (@list @t28 @t27 @t340 @t320 @t30 @t170 @t77 @t404 @t96) (or (not (= @t384 (tptp.c_Fun_Ocomp @t170 @t77 @t404 @t320 @t30))) (= @t382 (tptp.hAPP @t170 (tptp.hAPP @t77 @t96)))))) % 0.42/0.73 (assume @p348 (forall (@list @t146 @t385 @t43 @t413 @t412 @t40 @t320 @t30 @t340 @t404 @t411) (or (not (= @t392 (tptp.hAPP @t413 (tptp.hAPP @t412 @t40)))) (= @t393 (tptp.hAPP (tptp.c_Fun_Ocomp @t413 @t412 @t404 @t30 @t411) @t40))))) % 0.42/0.73 (assume @p349 (forall (@list @t146 @t385 @t30 @t404 @t340 @t405 @t320) (= (tptp.c_Fun_Ofcomp (tptp.c_Fun_Ofcomp @t146 @t385 @t30 @t404 @t340) @t405 @t30 @t340 @t320) (tptp.c_Fun_Ofcomp @t146 (tptp.c_Fun_Ofcomp @t385 @t405 @t404 @t340 @t320) @t30 @t404 @t320)))) % 0.42/0.73 (assume @p350 (forall @t37 (or @t390 @t32 @t414))) % 0.42/0.73 (assume @p351 (forall @t91 (or @t397 @t49 @t389))) % 0.42/0.73 (assume @p352 (forall @t398 (or @t391 @t389 @t49))) % 0.42/0.73 (assume @p353 (forall (@list @t30 @t27 @t28) (or @t391 @t414 @t32))) % 0.42/0.73 (assume @p354 (forall (@list @t107 @t52 @t245 @t130 @t108) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Type_Otyping @t380) @t234) @t108)) @t356))) % 0.42/0.73 (assume @p355 @t420) % 0.42/0.73 (assume @p356 (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Type_Otyping tptp.v_e____) tptp.v_u____) tptp.v_T____))) % 0.42/0.73 (assume @p357 (forall @t334 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t333) @t125) @t51) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.hAPP @t229 @t51)) (tptp.hAPP (tptp.hAPP @t328 @t125) @t51))))) % 0.42/0.73 (assume @p358 (forall @t358 (or @t357 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t130) @t265))) @t356))) % 0.42/0.73 (assume @p359 (forall (@list @t51 @t118) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OVar @t51)) @t118) @t51) @t118))) % 0.42/0.73 (assume @p360 (forall (@list @t3 @t52 @t50) (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.hAPP (tptp.hAPP @t345 @t126) @t50))) @t421))) % 0.42/0.73 (assume @p361 (forall @t422 (= (tptp.hAPP (tptp.c_Fun_Ocomp @t146 @t385 @t340 @t320 tptp.t_a) tptp.v_x) (tptp.hAPP @t146 (tptp.hAPP @t385 tptp.v_x))))) % 0.42/0.73 (assume @p362 (forall @t113 (or (= @t112 (tptp.hAPP @t107 @t50)) @t406))) % 0.42/0.73 (assume @p363 (= (tptp.hAPP (tptp.c_Fun_Oid tptp.t_a) tptp.v_x) tptp.v_x)) % 0.42/0.73 (assume @p364 (forall @t378 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t234)) @t377))) % 0.42/0.73 (assume @p365 (forall @t428 (or @t427 @t425 (not (tptp.hBOOL (tptp.hAPP @t355 @t424))) @t418 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Type_Otyping (tptp.hAPP @t379 @t424)) @t130) @t423))) @t377))) % 0.42/0.73 (assume @p366 (forall @t428 (or @t427 @t425 (not (tptp.hBOOL (tptp.hAPP @t355 @t426))) @t418 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Type_Otyping (tptp.hAPP @t379 @t426)) @t130) @t423))) @t377))) % 0.42/0.73 (assume @p367 (forall (@list @t30 @t107 @t43 @t108) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t110 @t43) @t108) @t43) @t108))) % 0.42/0.73 (assume @p368 (forall (@list @t402 @t130 @t108 @t245) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t403 @t237) @t401)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Type_Otyping (tptp.hAPP (tptp.hAPP (tptp.hAPP @t145 @t402) @t5) @t108)) @t130) @t245)))))) % 0.42/0.73 (assume @p369 (forall @t18 (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t97)))) % 0.42/0.73 (assume @p370 (forall (@list @t107 @t52 @t108) (or (= (tptp.hAPP @t107 @t52) @t108) (not (tptp.hBOOL (tptp.hAPP @t221 @t108)))))) % 0.42/0.73 (assume @p371 (tptp.hBOOL (tptp.hAPP @t429 (tptp.v_sko__local__XCons__1__1 tptp.v_T____ tptp.v_a____ tptp.v_e____ tptp.v_i____)))) % 0.42/0.73 (assume @p372 (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Type_Otyping tptp.v_ea______) tptp.v_ua______) tptp.v_T____))) % 0.42/0.73 (assume @p373 (tptp.hBOOL (tptp.hAPP @t429 (tptp.v_sko__local__XCons__Xhyps__1__1 tptp.v_T____ tptp.v_a____ tptp.v_e____ tptp.v_i____)))) % 0.42/0.73 (assume @p374 (forall @t347 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t346) @t344)) @t272))) % 0.42/0.73 (assume @p375 (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT tptp.v_ua______))) % 0.42/0.73 (assume @p376 (forall (@list @t107 @t118 @t52 @t129 @t243 @t108) (or (tptp.c_Type_Otypings @t107 @t371 @t243) (not (tptp.c_Type_Otypings (tptp.hAPP @t379 @t108) @t129 @t243)) (not (tptp.hBOOL (tptp.hAPP @t355 @t108)))))) % 0.42/0.73 (assume @p377 (forall (@list @t402 @t43) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t403 @t222) (tptp.hAPP @t402 @t43))))) % 0.42/0.73 (assume @p378 (forall (@list @t3) (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t273)) @t421))) % 0.42/0.73 (assume @p379 (forall @t422 (= (tptp.hAPP (tptp.c_Fun_Ofcomp @t146 @t385 tptp.t_a @t340 @t320) tptp.v_x) (tptp.hAPP @t385 (tptp.hAPP @t146 tptp.v_x))))) % 0.42/0.73 (assume @p380 (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT tptp.v_u____))) % 0.42/0.73 (assume @p381 (forall (@list @t130 @t51 @t125) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t329) @t125) @t51) @t130))) % 0.42/0.73 (assume @p382 (forall (@list @t430 @t118 @t245 @t52 @t130 @t108) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t431 @t118) @t245))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Type_Otyping (tptp.hAPP (tptp.hAPP (tptp.hAPP @t145 @t430) @t52) @t245)) @t130) @t108))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t431 @t327) @t108))))) % 0.42/0.73 (assume @p383 (tptp.c_List_Olistsp (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Lambda_OdB tptp.tc_bool tptp.tc_bool) (tptp.hAPP (tptp.hAPP @t440 tptp.c_and) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t467 tptp.tc_bool tptp.tc_Lambda_OdB) (tptp.c_All @t435)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t466 @t467 tptp.tc_Lambda_OdB) (tptp.hAPP (tptp.c_COMBB @t432 tptp.tc_bool @t435) (tptp.c_All tptp.tc_Type_Otype))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t465 @t466 tptp.tc_Lambda_OdB) (tptp.hAPP (tptp.c_COMBB @t437 @t432 @t435) (tptp.hAPP (tptp.c_COMBB @t436 tptp.tc_bool tptp.tc_Type_Otype) (tptp.c_All tptp.tc_Lambda_OdB)))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t464 @t465 tptp.tc_Lambda_OdB) (tptp.hAPP (tptp.c_COMBB @t461 @t437 @t435) (tptp.hAPP (tptp.c_COMBB @t434 @t436 tptp.tc_Type_Otype) (tptp.hAPP (tptp.c_COMBB @t433 tptp.tc_bool tptp.tc_Lambda_OdB) (tptp.c_All tptp.tc_nat))))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Lambda_OdB @t448 @t464) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t463 (tptp.tc_fun @t448 @t464) tptp.tc_Lambda_OdB) (tptp.c_COMBS @t435 @t434 @t461)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t460 @t463 tptp.tc_Lambda_OdB) (tptp.hAPP (tptp.c_COMBB @t459 @t462 @t435) (tptp.c_COMBC tptp.tc_Type_Otype @t434 @t434))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t458 @t460 tptp.tc_Lambda_OdB) (tptp.hAPP (tptp.c_COMBB @t457 @t459 @t435) (tptp.hAPP (tptp.c_COMBB @t443 @t447 tptp.tc_Type_Otype) (tptp.c_COMBB @t433 @t433 tptp.tc_Lambda_OdB)))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t456 @t458 tptp.tc_Lambda_OdB) (tptp.hAPP (tptp.c_COMBB @t455 @t457 @t435) (tptp.hAPP (tptp.c_COMBB @t454 @t443 tptp.tc_Type_Otype) (tptp.c_COMBS tptp.tc_nat tptp.tc_bool tptp.tc_bool)))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t453 @t456 tptp.tc_Lambda_OdB) (tptp.hAPP (tptp.c_COMBB @t452 @t455 @t435) (tptp.hAPP (tptp.c_COMBB @t433 @t454 tptp.tc_Type_Otype) (tptp.hAPP (tptp.c_COMBB tptp.tc_bool @t439 tptp.tc_nat) tptp.c_implies)))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t435 @t451) @t453 tptp.tc_Lambda_OdB) (tptp.hAPP (tptp.c_COMBB @t451 @t452 @t435) (tptp.c_COMBC tptp.tc_nat tptp.tc_Type_Otype tptp.tc_bool))) (tptp.hAPP (tptp.c_COMBC @t435 tptp.tc_Lambda_OdB @t451) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t450 (tptp.tc_fun tptp.tc_Lambda_OdB @t451) @t435) (tptp.c_COMBC tptp.tc_nat tptp.tc_Lambda_OdB @t432)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t449 @t450 @t435) (tptp.hAPP (tptp.c_COMBB @t435 @t438 tptp.tc_nat) tptp.c_Type_Otyping)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t435 tptp.tc_Type_Otype @t449) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun tptp.tc_nat (tptp.tc_fun tptp.tc_Type_Otype @t435)) (tptp.tc_fun tptp.tc_Type_Otype @t449) @t435) (tptp.c_COMBC tptp.tc_nat tptp.tc_Type_Otype @t435)) @t145)) tptp.v_T____))))))))))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t448 @t448 tptp.tc_Lambda_OdB) (tptp.hAPP (tptp.c_COMBB @t434 @t434 @t435) (tptp.hAPP @t446 (tptp.hAPP @t444 (tptp.hAPP @t441 tptp.c_InductTermi_OIT))))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t434 @t448 tptp.tc_Lambda_OdB) (tptp.hAPP (tptp.c_COMBC @t435 @t434 @t434) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t445 @t447 @t435) @t446) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t442 @t445 @t435) @t444) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t436 @t442 @t435) @t441) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t435 tptp.tc_Type_Otype @t436) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t438 @t437 @t435) (tptp.c_COMBC tptp.tc_Lambda_OdB tptp.tc_Type_Otype tptp.tc_bool)) tptp.c_Type_Otyping)) tptp.v_T____)))))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun tptp.tc_Lambda_OdB @t366) @t434 tptp.tc_Lambda_OdB) (tptp.hAPP (tptp.c_COMBB @t366 @t433 tptp.tc_Lambda_OdB) (tptp.hAPP (tptp.c_COMBB tptp.tc_Lambda_OdB tptp.tc_bool tptp.tc_nat) tptp.c_InductTermi_OIT))) tptp.c_Lambda_Osubst)))))))))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t432 tptp.tc_bool tptp.tc_Lambda_OdB) (tptp.c_Ex tptp.tc_Type_Otype)) @t359)) tptp.v_as____ tptp.tc_Lambda_OdB)) % 0.42/0.73 (assume @p384 (tptp.hBOOL (tptp.hAPP @t429 (tptp.v_sko__CHAINED__1 tptp.v_T____ tptp.v_a____ tptp.v_e____ tptp.v_i____)))) % 0.42/0.73 (assume @p385 @t468) % 0.42/0.73 (assume @p386 @t469) % 0.42/0.73 (assume @p387 @t470) % 0.42/0.73 (assume @p388 (not @t471)) % 0.42/0.73 (assume @p389 (forall @t475 (or (tptp.class_Orderings_Opreorder @t474) (not (tptp.class_Orderings_Opreorder @t472))))) % 0.42/0.73 (assume @p390 (forall @t475 (or (tptp.class_Orderings_Oorder @t474) (not (tptp.class_Orderings_Oorder @t472))))) % 0.42/0.73 (assume @p391 (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add tptp.tc_nat)) % 0.42/0.73 (assume @p392 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le tptp.tc_nat)) % 0.42/0.73 (assume @p393 (tptp.class_OrderedGroup_Opordered__comm__monoid__add tptp.tc_nat)) % 0.42/0.73 (assume @p394 (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add tptp.tc_nat)) % 0.42/0.73 (assume @p395 (tptp.class_OrderedGroup_Ocancel__semigroup__add tptp.tc_nat)) % 0.42/0.73 (assume @p396 (tptp.class_Ring__and__Field_Oordered__semidom tptp.tc_nat)) % 0.42/0.73 (assume @p397 (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_nat)) % 0.42/0.73 (assume @p398 (tptp.class_OrderedGroup_Oab__semigroup__add tptp.tc_nat)) % 0.42/0.73 (assume @p399 (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.tc_nat)) % 0.42/0.73 (assume @p400 (tptp.class_Ring__and__Field_Ozero__neq__one tptp.tc_nat)) % 0.42/0.73 (assume @p401 (tptp.class_OrderedGroup_Osemigroup__add tptp.tc_nat)) % 0.42/0.73 (assume @p402 (tptp.class_Ring__and__Field_Osemiring__1 tptp.tc_nat)) % 0.42/0.73 (assume @p403 (tptp.class_OrderedGroup_Omonoid__add tptp.tc_nat)) % 0.42/0.73 (assume @p404 (tptp.class_Nat_Osemiring__char__0 tptp.tc_nat)) % 0.42/0.73 (assume @p405 (tptp.class_Orderings_Opreorder tptp.tc_nat)) % 0.42/0.73 (assume @p406 (tptp.class_Orderings_Olinorder tptp.tc_nat)) % 0.42/0.73 (assume @p407 (tptp.class_Orderings_Oorder tptp.tc_nat)) % 0.42/0.73 (assume @p408 (tptp.class_Orderings_Opreorder tptp.tc_bool)) % 0.42/0.73 (assume @p409 (tptp.class_Orderings_Oorder tptp.tc_bool)) % 0.42/0.73 (assume @p410 (forall (@list @t43 @t30) (tptp.c_fequal @t43 @t43 @t30))) % 0.42/0.73 (assume @p411 (forall (@list @t477 @t476 @t30) (or (= @t477 @t476) (not (tptp.c_fequal @t477 @t476 @t30))))) % 0.42/0.73 (step @p412 :rule cnf_or_pos :args (@t481)) % 0.42/0.73 (step @p413 :rule reordering :premises (@p412) :args ((or @t471 @t478 @t479 @t480 @t482))) % 0.42/0.73 (step @p414 :rule chain_m_resolution :premises (@p413 @p388 @p385 @p386 @p387) :args (@t482 (@list true false false false) (@list @t471 @t468 @t469 @t470))) % 0.42/0.73 (assume-push @p421 @t420) % 0.42/0.73 (step @p416 :rule instantiate :premises (@p355) :args ((@list tptp.v_xb tptp.v_xc tptp.v_x tptp.v_xa))) % 0.42/0.73 (step-pop @p422 :rule scope :premises (@p416)) % 0.42/0.73 (step @p417 :rule process_scope :premises (@p422) :args (@t481)) % 0.42/0.73 (step @p419 :rule implies_elim :premises (@p417)) % 0.42/0.73 (step @p420 false :rule chain_m_resolution :premises (@p419 @p414 @p355) :args (false (@list true false) (@list @t481 @t420))) % 0.42/0.73 ) % 0.42/0.73 % SZS output end Proof % 0.42/0.73 % cvc5 exiting %------------------------------------------------------------------------------