%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL807-1 : 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 : n003.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 11:23:54 AM UTC 2026 % Result : Unsatisfiable 0.28s 0.85s % Output : Proof 0.28s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL807-1 : TPTP v9.3.1. Released v4.1.0. % 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.10/0.38 % Computer : n003.cluster.edu % 0.10/0.38 % Model : x86_64 x86_64 % 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.38 % Memory : 8046.5625MB % 0.10/0.38 % OS : Linux 6.8.0-71-generic % 0.10/0.38 % CPULimit : 300 % 0.10/0.38 % WCLimit : 300 % 0.10/0.38 % DateTime : Sat Sep 5 21:45:06 UTC 2026 % 0.10/0.38 % CPUTime : % 0.21/0.53 %----Proving TF0_NAR, FOF, or CNF % 0.21/0.54 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.28/0.85 % SZS status Unsatisfiable % 0.28/0.85 % SZS output start Proof % 0.28/0.87 ( % 0.28/0.87 (declare-sort $$unsorted 0) % 0.28/0.87 (declare-const tptp.v_sko__CHAINED__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.28/0.87 (declare-const tptp.c_implies $$unsorted) % 0.28/0.87 (declare-const tptp.tc_bool $$unsorted) % 0.28/0.87 (declare-const tptp.c_List_Omap (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.28/0.87 (declare-const tptp.c_COMBC (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.28/0.87 (declare-const tptp.v_bs____ $$unsorted) % 0.28/0.87 (declare-const tptp.v_sko__local__XCons__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.28/0.87 (declare-const tptp.v_as____ $$unsorted) % 0.28/0.87 (declare-const tptp.v_sko__local__XCons__Xhyps__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.28/0.87 (declare-const tptp.v_thesis____ Bool) % 0.28/0.87 (declare-const tptp.v_a____ $$unsorted) % 0.28/0.87 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 0.28/0.87 (declare-const tptp.v_ua______ $$unsorted) % 0.28/0.87 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 0.28/0.87 (declare-const tptp.v_i____ $$unsorted) % 0.28/0.87 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 0.28/0.87 (declare-const tptp.v_e____ $$unsorted) % 0.28/0.87 (declare-const tptp.v_T_H_H____ $$unsorted) % 0.28/0.87 (declare-const tptp.v_Ts____ $$unsorted) % 0.28/0.87 (declare-const tptp.v_T_H____ $$unsorted) % 0.28/0.87 (declare-const tptp.v_u____ $$unsorted) % 0.28/0.87 (declare-const tptp.v_ea______ $$unsorted) % 0.28/0.87 (declare-const tptp.v_T____ $$unsorted) % 0.28/0.87 (declare-const tptp.v_rs____ $$unsorted) % 0.28/0.87 (declare-const tptp.c_Lambda_Osubst $$unsorted) % 0.28/0.87 (declare-const tptp.class_OrderedGroup_Ocomm__monoid__add (-> $$unsorted Bool)) % 0.28/0.87 (declare-const tptp.class_OrderedGroup_Olordered__ab__group__add (-> $$unsorted Bool)) % 0.28/0.87 (declare-const tptp.c_Lambda_Olift $$unsorted) % 0.28/0.87 (declare-const tptp.class_OrderedGroup_Oab__semigroup__add (-> $$unsorted Bool)) % 0.28/0.87 (declare-const tptp.c_Type_Otypings (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.28/0.87 (declare-const tptp.c_List_Olistsp (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.28/0.87 (declare-const tptp.c_Predicate_Oconversep (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.28/0.87 (declare-const tptp.c_Type_Oshift (-> $$unsorted $$unsorted)) % 0.28/0.87 (declare-const tptp.c_Lambda_OdB_OVar (-> $$unsorted $$unsorted)) % 0.28/0.87 (declare-const tptp.c_Lambda_OdB_OAbs (-> $$unsorted $$unsorted)) % 0.28/0.87 (declare-const tptp.c_All (-> $$unsorted $$unsorted)) % 0.28/0.87 (declare-const tptp.c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.28/0.87 (declare-const tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 0.28/0.87 (declare-const tptp.c_HOL_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.28/0.87 (declare-const tptp.c_HOL_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 0.28/0.87 (declare-const tptp.c_COMBS (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.28/0.87 (declare-const tptp.c_Lambda_OdB_OApp $$unsorted) % 0.28/0.87 (declare-const tptp.class_OrderedGroup_Omonoid__add (-> $$unsorted Bool)) % 0.28/0.87 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 0.28/0.87 (declare-const tptp.class_Ring__and__Field_Oordered__idom (-> $$unsorted Bool)) % 0.28/0.87 (declare-const tptp.c_Lambda_Obeta $$unsorted) % 0.28/0.87 (declare-const tptp.tc_List_Olist (-> $$unsorted $$unsorted)) % 0.28/0.87 (declare-const tptp.c_Type_Otyping $$unsorted) % 0.28/0.87 (declare-const tptp.c_Ex (-> $$unsorted $$unsorted)) % 0.28/0.87 (declare-const tptp.c_List_Olist_ONil (-> $$unsorted $$unsorted)) % 0.28/0.87 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 0.28/0.87 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted)) % 0.28/0.87 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 0.28/0.87 (declare-const tptp.c_List_Ofoldl (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.28/0.87 (declare-const tptp.v_n____ $$unsorted) % 0.28/0.87 (declare-const tptp.c_Wellfounded_Oaccp (-> $$unsorted $$unsorted $$unsorted)) % 0.28/0.87 (declare-const tptp.c_Type_Osko__Type__Xlist__app__typeE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.28/0.87 (declare-const tptp.c_List_Olist_OCons (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.28/0.87 (declare-const tptp.class_Ring__and__Field_Osemiring__1 (-> $$unsorted Bool)) % 0.28/0.87 (declare-const tptp.v_T_Ha______ $$unsorted) % 0.28/0.87 (declare-const tptp.c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.28/0.87 (declare-const tptp.c_HOL_Oplus__class_Oplus (-> $$unsorted $$unsorted)) % 0.28/0.87 (declare-const tptp.c_ListOrder_Ostep1 (-> $$unsorted $$unsorted $$unsorted)) % 0.28/0.87 (declare-const tptp.c_List_Olistsum (-> $$unsorted $$unsorted $$unsorted)) % 0.28/0.87 (declare-const tptp.c_List_Ofoldr (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.28/0.87 (declare-const tptp.v_ia______ $$unsorted) % 0.28/0.87 (declare-const tptp.c_InductTermi_OIT $$unsorted) % 0.28/0.87 (declare-const tptp.c_Transitive__Closure_Ortranclp (-> $$unsorted $$unsorted $$unsorted)) % 0.28/0.87 (declare-const tptp.c_Nat_Osize__class_Osize (-> $$unsorted $$unsorted $$unsorted)) % 0.28/0.87 (declare-const tptp.class_Ring__and__Field_Oidom (-> $$unsorted Bool)) % 0.28/0.87 (declare-const tptp.c_Type_Osko__Type__Xtyping__elims__2__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.28/0.87 (declare-const tptp.tc_nat $$unsorted) % 0.28/0.87 (declare-const tptp.c_Nat_Osemiring__1__class_Oof__nat (-> $$unsorted $$unsorted $$unsorted)) % 0.28/0.87 (declare-const tptp.class_Ring__and__Field_Oordered__semidom (-> $$unsorted Bool)) % 0.28/0.87 (declare-const tptp.class_OrderedGroup_Opordered__comm__monoid__add (-> $$unsorted Bool)) % 0.28/0.87 (declare-const tptp.c_OrderedGroup_Oab__semigroup__add (-> $$unsorted $$unsorted Bool)) % 0.28/0.87 (declare-const tptp.class_Nat_Osemiring__char__0 (-> $$unsorted Bool)) % 0.28/0.87 (declare-const tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 0.28/0.87 (declare-const tptp.c_COMBB (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.28/0.87 (declare-const tptp.tc_Lambda_OdB $$unsorted) % 0.28/0.87 (declare-const tptp.class_OrderedGroup_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 0.28/0.87 (declare-const tptp.c_Type_Osko__Type__Xlist__app__typeD__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.28/0.87 (declare-const tptp.class_Int_Onumber__ring (-> $$unsorted Bool)) % 0.28/0.87 (declare-const tptp.class_OrderedGroup_Osemigroup__add (-> $$unsorted Bool)) % 0.28/0.87 (declare-const tptp.class_Ring__and__Field_Ocomm__semiring__1 (-> $$unsorted Bool)) % 0.28/0.87 (declare-const tptp.class_OrderedGroup_Oab__group__add (-> $$unsorted Bool)) % 0.28/0.87 (declare-const tptp.c_Type_Osko__Type__Xvar__app__typesE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.28/0.87 (declare-const tptp.class_OrderedGroup_Ocancel__semigroup__add (-> $$unsorted Bool)) % 0.28/0.87 (declare-const tptp.c_and $$unsorted) % 0.28/0.87 (declare-const tptp.c_Type_Otype_OFun $$unsorted) % 0.28/0.87 (declare-const tptp.v_b____ $$unsorted) % 0.28/0.87 (declare-const tptp.c_Type_Osko__Type__Xvar__app__types__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.28/0.87 (declare-const tptp.tc_Type_Otype $$unsorted) % 0.28/0.87 (define @t1 () (@var "V_xs" $$unsorted)) % 0.28/0.87 (define @t2 () (@var "V_ys" $$unsorted)) % 0.28/0.87 (define @t3 () (@var "T_a" $$unsorted)) % 0.28/0.87 (define @t4 () (@var "V_r" $$unsorted)) % 0.28/0.87 (define @t5 () (tptp.c_ListOrder_Ostep1 @t4 @t3)) % 0.28/0.87 (define @t6 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5 @t2) @t1))) % 0.28/0.87 (define @t7 () (@var "V_x" $$unsorted)) % 0.28/0.87 (define @t8 () (tptp.c_List_Olist_OCons @t7 @t1 @t3)) % 0.28/0.87 (define @t9 () (@var "V_y" $$unsorted)) % 0.28/0.87 (define @t10 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5 (tptp.c_List_Olist_OCons @t9 @t2 @t3)) @t8)))) % 0.28/0.87 (define @t11 () (tptp.hAPP @t4 @t9)) % 0.28/0.87 (define @t12 () (tptp.hBOOL (tptp.hAPP @t11 @t7))) % 0.28/0.87 (define @t13 () (@list @t4 @t3 @t2 @t1 @t9 @t7)) % 0.28/0.87 (define @t14 () (@var "V_list_H" $$unsorted)) % 0.28/0.87 (define @t15 () (@var "V_list" $$unsorted)) % 0.28/0.87 (define @t16 () (@var "V_a_H" $$unsorted)) % 0.28/0.87 (define @t17 () (tptp.c_List_Olist_OCons @t16 @t14 @t3)) % 0.28/0.87 (define @t18 () (@var "V_a" $$unsorted)) % 0.28/0.87 (define @t19 () (not (= (tptp.c_List_Olist_OCons @t18 @t15 @t3) @t17))) % 0.28/0.87 (define @t20 () (@list @t18 @t15 @t3 @t16 @t14)) % 0.28/0.87 (define @t21 () (@var "T_b" $$unsorted)) % 0.28/0.87 (define @t22 () (@var "V_f" $$unsorted)) % 0.28/0.87 (define @t23 () (tptp.c_List_Olist_OCons @t7 @t1 @t21)) % 0.28/0.87 (define @t24 () (tptp.c_List_Olist_ONil @t3)) % 0.28/0.87 (define @t25 () (tptp.c_List_Olistsum @t1 @t3)) % 0.28/0.87 (define @t26 () (tptp.c_HOL_Oplus__class_Oplus @t3)) % 0.28/0.87 (define @t27 () (tptp.hAPP @t26 @t7)) % 0.28/0.87 (define @t28 () (not (tptp.class_OrderedGroup_Omonoid__add @t3))) % 0.28/0.87 (define @t29 () (= @t1 @t2)) % 0.28/0.87 (define @t30 () (@var "V_xa" $$unsorted)) % 0.28/0.87 (define @t31 () (= @t7 @t9)) % 0.28/0.87 (define @t32 () (@var "V_t" $$unsorted)) % 0.28/0.87 (define @t33 () (= @t1 @t24)) % 0.28/0.87 (define @t34 () (tptp.tc_List_Olist @t3)) % 0.28/0.87 (define @t35 () (tptp.c_Nat_Osize__class_Osize @t1 @t34)) % 0.28/0.87 (define @t36 () (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) % 0.28/0.87 (define @t37 () (@list @t1 @t3)) % 0.28/0.87 (define @t38 () (tptp.c_HOL_Ozero__class_Ozero @t3)) % 0.28/0.87 (define @t39 () (tptp.c_List_Ofoldl @t26 @t38 @t1 @t3 @t3)) % 0.28/0.87 (define @t40 () (@list @t3 @t1)) % 0.28/0.87 (define @t41 () (tptp.c_Wellfounded_Oaccp @t4 @t3)) % 0.28/0.87 (define @t42 () (tptp.c_Wellfounded_Oaccp @t5 @t34)) % 0.28/0.87 (define @t43 () (tptp.hBOOL (tptp.hAPP @t42 @t1))) % 0.28/0.87 (define @t44 () (not @t43)) % 0.28/0.87 (define @t45 () (@list @t3)) % 0.28/0.87 (define @t46 () (tptp.c_Nat_Osize__class_Osize @t24 @t34)) % 0.28/0.87 (define @t47 () (tptp.c_List_Ofoldr @t26 @t1 @t38 @t3 @t3)) % 0.28/0.87 (define @t48 () (tptp.c_List_Olist_ONil tptp.tc_Lambda_OdB)) % 0.28/0.87 (define @t49 () (@var "V_ts" $$unsorted)) % 0.28/0.87 (define @t50 () (@var "V_s" $$unsorted)) % 0.28/0.87 (define @t51 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t32 @t49 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.28/0.87 (define @t52 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t4) @t50)) % 0.28/0.87 (define @t53 () (tptp.c_List_Olistsp @t41 @t1 @t3)) % 0.28/0.87 (define @t54 () (@list @t4 @t3 @t1)) % 0.28/0.87 (define @t55 () (tptp.c_List_Ofoldl @t26 @t18 @t1 @t3 @t3)) % 0.28/0.87 (define @t56 () (not (tptp.class_OrderedGroup_Oab__semigroup__add @t3))) % 0.28/0.87 (define @t57 () (tptp.c_Transitive__Closure_Ortranclp tptp.c_Lambda_Obeta tptp.tc_Lambda_OdB)) % 0.28/0.87 (define @t58 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t57 @t4) @t50)))) % 0.28/0.87 (define @t59 () (@var "V_i" $$unsorted)) % 0.28/0.87 (define @t60 () (tptp.hAPP tptp.c_Lambda_Olift @t50)) % 0.28/0.87 (define @t61 () (tptp.hAPP @t60 @t59)) % 0.28/0.87 (define @t62 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Olift @t4) @t59)) % 0.28/0.87 (define @t63 () (@list @t4 @t59 @t50)) % 0.28/0.87 (define @t64 () (@var "V_t_H" $$unsorted)) % 0.28/0.87 (define @t65 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t57 @t32) @t64)))) % 0.28/0.87 (define @t66 () (@var "V_T" $$unsorted)) % 0.28/0.87 (define @t67 () (@var "V_e" $$unsorted)) % 0.28/0.87 (define @t68 () (tptp.hAPP tptp.c_Type_Otyping @t67)) % 0.28/0.87 (define @t69 () (tptp.hAPP @t68 @t32)) % 0.28/0.87 (define @t70 () (not (tptp.hBOOL (tptp.hAPP @t69 @t66)))) % 0.28/0.87 (define @t71 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t68 @t64) @t66))) % 0.28/0.87 (define @t72 () (@list @t67 @t64 @t66 @t32)) % 0.28/0.87 (define @t73 () (@var "V_u" $$unsorted)) % 0.28/0.87 (define @t74 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t32)) % 0.28/0.87 (define @t75 () (tptp.hAPP @t74 @t73)) % 0.28/0.87 (define @t76 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t68 @t75) @t66)))) % 0.28/0.87 (define @t77 () (tptp.c_Type_Osko__Type__Xtyping__elims__2__1 @t66 @t67 @t32 @t73)) % 0.28/0.87 (define @t78 () (tptp.hAPP @t68 @t73)) % 0.28/0.87 (define @t79 () (@var "V_v" $$unsorted)) % 0.28/0.87 (define @t80 () (@var "V_rs" $$unsorted)) % 0.28/0.87 (define @t81 () (@var "V_n" $$unsorted)) % 0.28/0.87 (define @t82 () (tptp.c_Lambda_OdB_OVar @t81)) % 0.28/0.87 (define @t83 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t82 @t80 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.28/0.87 (define @t84 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t83) @t79)))) % 0.28/0.87 (define @t85 () (tptp.c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1 @t81 @t80 @t79)) % 0.28/0.87 (define @t86 () (tptp.hAPP (tptp.c_ListOrder_Ostep1 tptp.c_Lambda_Obeta tptp.tc_Lambda_OdB) @t80)) % 0.28/0.87 (define @t87 () (tptp.hAPP tptp.c_Lambda_Osubst @t32)) % 0.28/0.87 (define @t88 () (tptp.hAPP @t87 @t50)) % 0.28/0.87 (define @t89 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t57 (tptp.hAPP (tptp.hAPP @t87 @t4) @t59)) (tptp.hAPP @t88 @t59)))) % 0.28/0.87 (define @t90 () (@list @t32 @t4 @t59 @t50)) % 0.28/0.87 (define @t91 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t50) @t32)) % 0.28/0.87 (define @t92 () (tptp.hAPP @t91 @t59)) % 0.28/0.87 (define @t93 () (tptp.hAPP tptp.c_Lambda_Osubst @t4)) % 0.28/0.87 (define @t94 () (tptp.hAPP (tptp.hAPP @t93 @t32) @t59)) % 0.28/0.87 (define @t95 () (@list @t4 @t32 @t59 @t50)) % 0.28/0.87 (define @t96 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t4) @t50)))) % 0.28/0.87 (define @t97 () (@var "V_s_H" $$unsorted)) % 0.28/0.87 (define @t98 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t57 @t50) @t97)))) % 0.28/0.87 (define @t99 () (tptp.c_Lambda_OdB_OAbs @t50)) % 0.28/0.87 (define @t100 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t50)) % 0.28/0.87 (define @t101 () (tptp.hAPP @t100 @t32)) % 0.28/0.87 (define @t102 () (tptp.hAPP @t57 @t101)) % 0.28/0.87 (define @t103 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t97)) % 0.28/0.87 (define @t104 () (@var "V_zs" $$unsorted)) % 0.28/0.87 (define @t105 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t81 @t3)) % 0.28/0.87 (define @t106 () (@var "V_m" $$unsorted)) % 0.28/0.87 (define @t107 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t106 @t3)) % 0.28/0.87 (define @t108 () (tptp.c_HOL_Oord__class_Oless @t107 @t105 @t3)) % 0.28/0.87 (define @t109 () (tptp.c_HOL_Oord__class_Oless @t106 @t81 tptp.tc_nat)) % 0.28/0.87 (define @t110 () (not (tptp.class_Ring__and__Field_Oordered__semidom @t3))) % 0.28/0.87 (define @t111 () (@list @t3 @t106 @t81)) % 0.28/0.87 (define @t112 () (tptp.c_HOL_Oord__class_Oless @t38 @t18 @t3)) % 0.28/0.87 (define @t113 () (not @t112)) % 0.28/0.87 (define @t114 () (@var "V_c" $$unsorted)) % 0.28/0.87 (define @t115 () (@var "V_b" $$unsorted)) % 0.28/0.87 (define @t116 () (tptp.hAPP @t26 @t18)) % 0.28/0.87 (define @t117 () (tptp.hAPP @t116 @t114)) % 0.28/0.87 (define @t118 () (@list @t3 @t115 @t18 @t114)) % 0.28/0.87 (define @t119 () (tptp.hAPP @t116 @t115)) % 0.28/0.87 (define @t120 () (not (tptp.class_OrderedGroup_Opordered__comm__monoid__add @t3))) % 0.28/0.87 (define @t121 () (@list @t3 @t18 @t115)) % 0.28/0.87 (define @t122 () (tptp.c_HOL_Oord__class_Oless @t18 @t38 @t3)) % 0.28/0.87 (define @t123 () (not @t122)) % 0.28/0.87 (define @t124 () (tptp.hAPP @t116 @t18)) % 0.28/0.87 (define @t125 () (tptp.c_HOL_Oord__class_Oless @t124 @t38 @t3)) % 0.28/0.87 (define @t126 () (not (tptp.class_Ring__and__Field_Oordered__idom @t3))) % 0.28/0.87 (define @t127 () (@list @t3 @t18)) % 0.28/0.87 (define @t128 () (not @t125)) % 0.28/0.87 (define @t129 () (not (tptp.class_OrderedGroup_Olordered__ab__group__add @t3))) % 0.28/0.87 (define @t130 () (tptp.c_HOL_Oord__class_Oless @t38 @t124 @t3)) % 0.28/0.87 (define @t131 () (tptp.hBOOL (tptp.hAPP @t41 @t115))) % 0.28/0.87 (define @t132 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4 @t18) @t115)))) % 0.28/0.87 (define @t133 () (tptp.hBOOL (tptp.hAPP @t41 @t18))) % 0.28/0.87 (define @t134 () (not @t133)) % 0.28/0.87 (define @t135 () (tptp.c_Transitive__Closure_Ortranclp @t4 @t3)) % 0.28/0.87 (define @t136 () (tptp.hAPP @t135 @t18)) % 0.28/0.87 (define @t137 () (tptp.hAPP @t4 @t115)) % 0.28/0.87 (define @t138 () (tptp.hBOOL (tptp.hAPP @t136 @t114))) % 0.28/0.87 (define @t139 () (@list @t4 @t3 @t18 @t114 @t115)) % 0.28/0.87 (define @t140 () (tptp.hAPP @t135 @t115)) % 0.28/0.87 (define @t141 () (@var "V_plus" $$unsorted)) % 0.28/0.87 (define @t142 () (not (tptp.c_OrderedGroup_Oab__semigroup__add @t141 @t3))) % 0.28/0.87 (define @t143 () (tptp.hAPP @t141 @t115)) % 0.28/0.87 (define @t144 () (tptp.hAPP @t141 @t18)) % 0.28/0.87 (define @t145 () (tptp.hAPP @t144 @t115)) % 0.28/0.87 (define @t146 () (tptp.hAPP @t144 (tptp.hAPP @t143 @t114))) % 0.28/0.88 (define @t147 () (@list @t141 @t18 @t115 @t114 @t3)) % 0.28/0.88 (define @t148 () (tptp.hAPP @t26 @t114)) % 0.28/0.88 (define @t149 () (tptp.hAPP @t148 @t18)) % 0.28/0.88 (define @t150 () (tptp.c_HOL_Oord__class_Oless @t149 (tptp.hAPP @t148 @t115) @t3)) % 0.28/0.88 (define @t151 () (tptp.c_HOL_Oord__class_Oless @t18 @t115 @t3)) % 0.28/0.88 (define @t152 () (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le @t3))) % 0.28/0.88 (define @t153 () (@list @t3 @t18 @t115 @t114)) % 0.28/0.88 (define @t154 () (not @t151)) % 0.28/0.88 (define @t155 () (@list @t3 @t114 @t18 @t115)) % 0.28/0.88 (define @t156 () (not (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add @t3))) % 0.28/0.88 (define @t157 () (tptp.hAPP @t26 @t115)) % 0.28/0.88 (define @t158 () (tptp.hAPP @t157 @t114)) % 0.28/0.88 (define @t159 () (tptp.c_HOL_Oord__class_Oless @t117 @t158 @t3)) % 0.28/0.88 (define @t160 () (@list @t3 @t18 @t114 @t115)) % 0.28/0.88 (define @t161 () (tptp.c_Predicate_Oconversep @t4 @t3 @t21)) % 0.28/0.88 (define @t162 () (@var "V_d" $$unsorted)) % 0.28/0.88 (define @t163 () (tptp.hAPP @t157 @t162)) % 0.28/0.88 (define @t164 () (tptp.c_fequal @t3)) % 0.28/0.88 (define @t165 () (tptp.c_List_Olist_ONil @t21)) % 0.28/0.88 (define @t166 () (tptp.hAPP @t135 @t7)) % 0.28/0.88 (define @t167 () (tptp.hBOOL (tptp.hAPP @t166 @t9))) % 0.28/0.88 (define @t168 () (@list @t4 @t3 @t7 @t9)) % 0.28/0.88 (define @t169 () (= @t18 @t38)) % 0.28/0.88 (define @t170 () (not (tptp.class_Int_Onumber__ring @t3))) % 0.28/0.88 (define @t171 () (not (tptp.class_Ring__and__Field_Oidom @t3))) % 0.28/0.88 (define @t172 () (= @t106 @t81)) % 0.28/0.88 (define @t173 () (tptp.hAPP @t27 @t9)) % 0.28/0.88 (define @t174 () (tptp.hAPP @t26 @t9)) % 0.28/0.88 (define @t175 () (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 @t3))) % 0.28/0.88 (define @t176 () (@list @t3 @t7 @t9)) % 0.28/0.88 (define @t177 () (tptp.hAPP @t157 @t18)) % 0.28/0.88 (define @t178 () (not (tptp.class_OrderedGroup_Ocomm__monoid__add @t3))) % 0.28/0.88 (define @t179 () (tptp.c_Wellfounded_Oaccp (tptp.c_Predicate_Oconversep tptp.c_Lambda_Obeta tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) tptp.tc_Lambda_OdB)) % 0.28/0.88 (define @t180 () (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t4))) % 0.28/0.88 (define @t181 () (@list @t4)) % 0.28/0.88 (define @t182 () (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t32)))) % 0.28/0.88 (define @t183 () (@var "V_z" $$unsorted)) % 0.28/0.88 (define @t184 () (tptp.hAPP @t135 @t9)) % 0.28/0.88 (define @t185 () (not (tptp.hBOOL (tptp.hAPP @t140 @t18)))) % 0.28/0.88 (define @t186 () (@list @t4 @t3 @t115 @t18)) % 0.28/0.88 (define @t187 () (@var "V_A" $$unsorted)) % 0.28/0.88 (define @t188 () (tptp.hAPP @t26 @t38)) % 0.28/0.88 (define @t189 () (tptp.hAPP @t27 (tptp.hAPP @t174 @t183))) % 0.28/0.88 (define @t190 () (@list @t3 @t7 @t9 @t183)) % 0.28/0.88 (define @t191 () (tptp.hAPP @t27 @t183)) % 0.28/0.88 (define @t192 () (not (tptp.class_OrderedGroup_Oab__group__add @t3))) % 0.28/0.88 (define @t193 () (tptp.hAPP @t116 @t158)) % 0.28/0.88 (define @t194 () (tptp.hAPP @t26 @t119)) % 0.28/0.88 (define @t195 () (tptp.hAPP @t194 @t114)) % 0.28/0.88 (define @t196 () (= @t195 @t193)) % 0.28/0.88 (define @t197 () (tptp.hAPP @t26 @t117)) % 0.28/0.88 (define @t198 () (tptp.hAPP @t148 @t162)) % 0.28/0.88 (define @t199 () (tptp.hAPP @t116 @t198)) % 0.28/0.88 (define @t200 () (@list @t3 @t18 @t114 @t162)) % 0.28/0.88 (define @t201 () (@var "V_a2" $$unsorted)) % 0.28/0.88 (define @t202 () (@var "V_a1" $$unsorted)) % 0.28/0.88 (define @t203 () (tptp.hBOOL (tptp.hAPP @t137 @t18))) % 0.28/0.88 (define @t204 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t161 @t18) @t115))) % 0.28/0.88 (define @t205 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Transitive__Closure_Ortranclp (tptp.c_Predicate_Oconversep @t4 @t3 @t3) @t3) @t7) @t9))) % 0.28/0.88 (define @t206 () (tptp.hBOOL (tptp.hAPP @t184 @t7))) % 0.28/0.88 (define @t207 () (= @t115 @t114)) % 0.28/0.88 (define @t208 () (not (= @t119 @t117))) % 0.28/0.88 (define @t209 () (not (tptp.class_OrderedGroup_Ocancel__semigroup__add @t3))) % 0.28/0.88 (define @t210 () (@list @t3 @t7)) % 0.28/0.88 (define @t211 () (= (tptp.hAPP @t188 @t18) @t18)) % 0.28/0.88 (define @t212 () (= (tptp.hAPP @t116 @t38) @t18)) % 0.28/0.88 (define @t213 () (@var "V_ss" $$unsorted)) % 0.28/0.88 (define @t214 () (tptp.c_Lambda_OdB_OAbs @t4)) % 0.28/0.88 (define @t215 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t214) @t50) @t213 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.28/0.88 (define @t216 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.hAPP (tptp.hAPP @t93 @t50) @t36) @t213 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.28/0.88 (define @t217 () (@list @t4 @t50 @t213)) % 0.28/0.88 (define @t218 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t4 @t213 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.28/0.88 (define @t219 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t50 @t213 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.28/0.88 (define @t220 () (@list @t4 @t213 @t50)) % 0.28/0.88 (define @t221 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t214 @t48 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.28/0.88 (define @t222 () (= @t213 @t48)) % 0.28/0.88 (define @t223 () (not (= @t219 @t214))) % 0.28/0.88 (define @t224 () (@list @t50 @t213 @t4)) % 0.28/0.88 (define @t225 () (not (= @t214 @t219))) % 0.28/0.88 (define @t226 () (tptp.c_Lambda_OdB_OVar @t106)) % 0.28/0.88 (define @t227 () (not (= @t226 @t219))) % 0.28/0.88 (define @t228 () (@list @t106 @t50 @t213)) % 0.28/0.88 (define @t229 () (@list @t106)) % 0.28/0.88 (define @t230 () (tptp.c_HOL_Oord__class_Oless @t36 @t81 tptp.tc_nat)) % 0.28/0.88 (define @t231 () (tptp.c_HOL_Oord__class_Oless @t38 @t105 @t3)) % 0.28/0.88 (define @t232 () (@list @t3 @t81)) % 0.28/0.88 (define @t233 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t68 @t51) @t66))) % 0.28/0.88 (define @t234 () (not @t233)) % 0.28/0.88 (define @t235 () (tptp.c_Type_Osko__Type__Xlist__app__typeE__1__1 @t66 @t67 @t32 @t49)) % 0.28/0.88 (define @t236 () (@list @t67 @t49 @t66 @t32)) % 0.28/0.88 (define @t237 () (tptp.c_Type_Osko__Type__Xlist__app__typeD__1__1 @t66 @t67 @t32 @t49)) % 0.28/0.88 (define @t238 () (@var "V_us" $$unsorted)) % 0.28/0.88 (define @t239 () (tptp.c_Lambda_OdB_OVar @t59)) % 0.28/0.88 (define @t240 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t239 @t49 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.28/0.88 (define @t241 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t68 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t240 @t238 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) @t66)))) % 0.28/0.88 (define @t242 () (@var "V_Ts" $$unsorted)) % 0.28/0.88 (define @t243 () (not (tptp.c_Type_Otypings @t67 @t49 @t242))) % 0.28/0.88 (define @t244 () (@var "V_U" $$unsorted)) % 0.28/0.88 (define @t245 () (tptp.hAPP @t68 @t240)) % 0.28/0.88 (define @t246 () (not (tptp.hBOOL (tptp.hAPP @t245 @t244)))) % 0.28/0.88 (define @t247 () (tptp.c_Type_Osko__Type__Xvar__app__types__1__1 @t66 @t244 @t67 @t238)) % 0.28/0.88 (define @t248 () (not (tptp.hBOOL (tptp.hAPP @t245 @t66)))) % 0.28/0.88 (define @t249 () (tptp.c_Type_Osko__Type__Xvar__app__typesE__1__1 @t66 @t67 @t59 @t49)) % 0.28/0.88 (define @t250 () (@list @t67 @t32 @t66 @t49)) % 0.28/0.88 (define @t251 () (tptp.c_Lambda_OdB_OVar tptp.v_n____)) % 0.28/0.88 (define @t252 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t251 tptp.v_rs____ tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.28/0.88 (define @t253 () (tptp.c_Type_Oshift tptp.tc_Type_Otype)) % 0.28/0.88 (define @t254 () (tptp.hAPP @t68 @t239)) % 0.28/0.88 (define @t255 () (@var "V_nat" $$unsorted)) % 0.28/0.88 (define @t256 () (tptp.c_Lambda_OdB_OVar @t255)) % 0.28/0.88 (define @t257 () (@var "V_dB2_H" $$unsorted)) % 0.28/0.88 (define @t258 () (@var "V_dB1_H" $$unsorted)) % 0.28/0.88 (define @t259 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t258) @t257)) % 0.28/0.88 (define @t260 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t50) @t32)))) % 0.28/0.88 (define @t261 () (tptp.c_Lambda_OdB_OAbs @t32)) % 0.28/0.88 (define @t262 () (@list @t50 @t32)) % 0.28/0.88 (define @t263 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t82 @t213 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.28/0.88 (define @t264 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t99) @t32)) % 0.28/0.88 (define @t265 () (@list @t32 @t59)) % 0.28/0.88 (define @t266 () (@var "V_k" $$unsorted)) % 0.28/0.88 (define @t267 () (tptp.hAPP tptp.c_Lambda_Olift @t32)) % 0.28/0.88 (define @t268 () (tptp.hAPP @t267 @t266)) % 0.28/0.88 (define @t269 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t73)) % 0.28/0.88 (define @t270 () (not @t180)) % 0.28/0.88 (define @t271 () (= @t4 @t50)) % 0.28/0.88 (define @t272 () (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun tptp.v_Ts____ tptp.v_T_H____ tptp.tc_Type_Otype tptp.tc_Type_Otype)) % 0.28/0.88 (define @t273 () (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun tptp.v_T_H_H____) @t272)) % 0.28/0.88 (define @t274 () (tptp.c_Lambda_OdB_OVar @t7)) % 0.28/0.88 (define @t275 () (tptp.c_HOL_Oord__class_Oless @t7 @t7 tptp.tc_nat)) % 0.28/0.88 (define @t276 () (@list @t81)) % 0.28/0.88 (define @t277 () (tptp.c_HOL_Oord__class_Oless @t9 @t7 @t3)) % 0.28/0.88 (define @t278 () (not @t277)) % 0.28/0.88 (define @t279 () (not (tptp.class_Orderings_Oorder @t3))) % 0.28/0.88 (define @t280 () (tptp.c_HOL_Oord__class_Oless @t7 @t9 @t3)) % 0.28/0.88 (define @t281 () (not @t280)) % 0.28/0.88 (define @t282 () (not (tptp.class_Orderings_Opreorder @t3))) % 0.28/0.88 (define @t283 () (@var "V_dB_H" $$unsorted)) % 0.28/0.88 (define @t284 () (tptp.c_Lambda_OdB_OAbs @t283)) % 0.28/0.88 (define @t285 () (tptp.hAPP @t267 @t59)) % 0.28/0.88 (define @t286 () (@var "V_dB" $$unsorted)) % 0.28/0.88 (define @t287 () (tptp.hAPP (tptp.hAPP tptp.c_Type_Otyping tptp.v_e____) tptp.v_u____)) % 0.28/0.88 (define @t288 () (@list @t7)) % 0.28/0.88 (define @t289 () (not (tptp.c_HOL_Oord__class_Oless @t7 @t7 @t3))) % 0.28/0.88 (define @t290 () (not (tptp.class_Orderings_Olinorder @t3))) % 0.28/0.88 (define @t291 () (@list @t3 @t9 @t7)) % 0.28/0.88 (define @t292 () (tptp.c_HOL_Oord__class_Oless @t81 @t106 tptp.tc_nat)) % 0.28/0.88 (define @t293 () (@var "V_P" $$unsorted)) % 0.28/0.88 (define @t294 () (@var "V_dB2" $$unsorted)) % 0.28/0.88 (define @t295 () (@var "V_dB1" $$unsorted)) % 0.28/0.88 (define @t296 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t295) @t294)) % 0.28/0.88 (define @t297 () (not (= @t296 @t259))) % 0.28/0.88 (define @t298 () (@list @t295 @t294 @t258 @t257)) % 0.28/0.88 (define @t299 () (= @t80 @t213)) % 0.28/0.88 (define @t300 () (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t214 @t80 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t99 @t213 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.28/0.88 (define @t301 () (@list @t4 @t80 @t50 @t213)) % 0.28/0.88 (define @t302 () (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t66) @t244)) % 0.28/0.88 (define @t303 () (@var "V_env" $$unsorted)) % 0.28/0.88 (define @t304 () (tptp.hAPP tptp.c_Type_Otyping @t303)) % 0.28/0.88 (define @t305 () (@var "V_j" $$unsorted)) % 0.28/0.88 (define @t306 () (not (tptp.c_HOL_Oord__class_Oless @t305 @t59 tptp.tc_nat))) % 0.28/0.88 (define @t307 () (tptp.c_Lambda_OdB_OVar @t305)) % 0.28/0.88 (define @t308 () (@var "V_type2_H" $$unsorted)) % 0.28/0.88 (define @t309 () (@var "V_type2" $$unsorted)) % 0.28/0.88 (define @t310 () (@var "V_type1_H" $$unsorted)) % 0.28/0.88 (define @t311 () (@var "V_type1" $$unsorted)) % 0.28/0.88 (define @t312 () (not (= (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t311) @t309) (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t310) @t308)))) % 0.28/0.88 (define @t313 () (@list @t311 @t309 @t310 @t308)) % 0.28/0.88 (define @t314 () (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t226 @t80 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) @t263))) % 0.28/0.88 (define @t315 () (@list @t106 @t80 @t81 @t213)) % 0.28/0.88 (define @t316 () (@var "V_nat_H" $$unsorted)) % 0.28/0.88 (define @t317 () (not (tptp.c_HOL_Oord__class_Oless @t115 @t18 @t3))) % 0.28/0.88 (define @t318 () (tptp.hAPP (tptp.hAPP @t253 @t67) @t59)) % 0.28/0.88 (define @t319 () (@var "V_T_H" $$unsorted)) % 0.28/0.88 (define @t320 () (@var "V_ia" $$unsorted)) % 0.28/0.88 (define @t321 () (@var "V_ea" $$unsorted)) % 0.28/0.88 (define @t322 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Type_Otyping (tptp.hAPP (tptp.hAPP (tptp.hAPP @t253 @t321) @t320) tptp.v_T____)) tptp.v_b____) @t319)))) % 0.28/0.88 (define @t323 () (@var "V_ua" $$unsorted)) % 0.28/0.88 (define @t324 () (tptp.hAPP tptp.c_Type_Otyping @t321)) % 0.28/0.88 (define @t325 () (tptp.hAPP tptp.c_Lambda_Osubst tptp.v_b____)) % 0.28/0.88 (define @t326 () (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t73)))) % 0.28/0.88 (define @t327 () (tptp.hAPP (tptp.c_Type_Oshift @t3) @t67)) % 0.28/0.88 (define @t328 () (tptp.hAPP (tptp.hAPP (tptp.hAPP @t253 tptp.v_e____) tptp.v_i____) tptp.v_T____)) % 0.28/0.88 (define @t329 () (tptp.hAPP tptp.c_Type_Otyping @t328)) % 0.28/0.88 (define @t330 () (@var "V_Ta" $$unsorted)) % 0.28/0.88 (define @t331 () (@var "V_T2" $$unsorted)) % 0.28/0.88 (define @t332 () (tptp.hAPP (tptp.hAPP @t87 @t73) @t59)) % 0.28/0.88 (define @t333 () (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t332))) % 0.28/0.88 (define @t334 () (@var "V_T1" $$unsorted)) % 0.28/0.88 (define @t335 () (not (= tptp.v_T____ (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t334) @t331)))) % 0.28/0.88 (define @t336 () (@list @t334 @t331 @t32 @t73 @t59 @t67 @t330)) % 0.28/0.88 (define @t337 () (tptp.hAPP @t329 tptp.v_b____)) % 0.28/0.88 (define @t338 () (not (tptp.hBOOL (tptp.hAPP @t337 @t244)))) % 0.28/0.88 (define @t339 () (@list @t244)) % 0.28/0.88 (define @t340 () (forall @t339 (or tptp.v_thesis____ @t338))) % 0.28/0.88 (define @t341 () (tptp.v_sko__local__XCons__Xhyps__1__1 tptp.v_T____ tptp.v_b____ tptp.v_e____ tptp.v_i____)) % 0.28/0.88 (define @t342 () (tptp.hBOOL (tptp.hAPP @t337 @t341))) % 0.28/0.88 (define @t343 () (@var "V_e_H" $$unsorted)) % 0.28/0.88 (define @t344 () (tptp.hAPP tptp.c_Type_Otyping @t343)) % 0.28/0.88 (define @t345 () (tptp.tc_fun tptp.tc_nat tptp.tc_Lambda_OdB)) % 0.28/0.88 (define @t346 () (tptp.c_COMBC tptp.tc_Lambda_OdB tptp.tc_nat tptp.tc_Lambda_OdB)) % 0.28/0.88 (define @t347 () (tptp.tc_fun tptp.tc_Type_Otype tptp.tc_bool)) % 0.28/0.88 (define @t348 () (tptp.tc_fun tptp.tc_nat tptp.tc_bool)) % 0.28/0.88 (define @t349 () (tptp.tc_fun tptp.tc_Lambda_OdB @t348)) % 0.28/0.88 (define @t350 () (tptp.tc_fun tptp.tc_nat tptp.tc_Type_Otype)) % 0.28/0.88 (define @t351 () (tptp.tc_fun tptp.tc_Lambda_OdB tptp.tc_bool)) % 0.28/0.88 (define @t352 () (tptp.tc_fun tptp.tc_Type_Otype @t351)) % 0.28/0.88 (define @t353 () (tptp.tc_fun tptp.tc_Lambda_OdB @t347)) % 0.28/0.88 (define @t354 () (tptp.tc_fun tptp.tc_bool tptp.tc_bool)) % 0.28/0.88 (define @t355 () (tptp.c_COMBB tptp.tc_bool @t354 tptp.tc_Lambda_OdB)) % 0.28/0.88 (define @t356 () (tptp.hAPP @t355 tptp.c_implies)) % 0.28/0.88 (define @t357 () (tptp.tc_fun tptp.tc_Lambda_OdB @t354)) % 0.28/0.88 (define @t358 () (tptp.tc_fun @t348 @t348)) % 0.28/0.88 (define @t359 () (tptp.hAPP (tptp.c_COMBB @t354 @t358 tptp.tc_Lambda_OdB) (tptp.c_COMBB tptp.tc_bool tptp.tc_bool tptp.tc_nat))) % 0.28/0.88 (define @t360 () (tptp.tc_fun tptp.tc_Lambda_OdB @t358)) % 0.28/0.88 (define @t361 () (tptp.c_COMBS tptp.tc_Lambda_OdB @t348 @t348)) % 0.28/0.88 (define @t362 () (tptp.tc_fun @t349 @t349)) % 0.28/0.88 (define @t363 () (tptp.tc_fun @t350 @t349)) % 0.28/0.88 (define @t364 () (tptp.tc_fun tptp.tc_nat @t350)) % 0.28/0.88 (define @t365 () (tptp.tc_fun tptp.tc_nat @t353)) % 0.28/0.88 (define @t366 () (tptp.tc_fun tptp.tc_nat @t347)) % 0.28/0.88 (define @t367 () (tptp.tc_fun tptp.tc_Type_Otype @t348)) % 0.28/0.88 (define @t368 () (tptp.tc_fun @t350 @t367)) % 0.28/0.88 (define @t369 () (tptp.tc_fun tptp.tc_nat @t354)) % 0.28/0.88 (define @t370 () (tptp.tc_fun tptp.tc_Type_Otype @t369)) % 0.28/0.88 (define @t371 () (tptp.tc_fun @t350 @t370)) % 0.28/0.88 (define @t372 () (tptp.tc_fun tptp.tc_Type_Otype @t358)) % 0.28/0.88 (define @t373 () (tptp.tc_fun @t350 @t372)) % 0.28/0.88 (define @t374 () (tptp.tc_fun tptp.tc_Type_Otype @t362)) % 0.28/0.88 (define @t375 () (tptp.tc_fun @t350 @t374)) % 0.28/0.88 (define @t376 () (tptp.tc_fun tptp.tc_Type_Otype @t349)) % 0.28/0.88 (define @t377 () (tptp.tc_fun @t349 @t376)) % 0.28/0.88 (define @t378 () (tptp.tc_fun @t350 @t377)) % 0.28/0.88 (define @t379 () (tptp.tc_fun @t350 @t376)) % 0.28/0.88 (define @t380 () (tptp.tc_fun @t350 @t352)) % 0.28/0.88 (define @t381 () (tptp.tc_fun @t350 @t347)) % 0.28/0.88 (define @t382 () (tptp.tc_fun @t350 tptp.tc_bool)) % 0.28/0.88 (define @t383 () (@var "T_1" $$unsorted)) % 0.28/0.88 (define @t384 () (@var "T_2" $$unsorted)) % 0.28/0.88 (define @t385 () (tptp.tc_fun @t384 @t383)) % 0.28/0.88 (define @t386 () (@list @t384 @t383)) % 0.28/0.88 (define @t387 () (@var "V_Y" $$unsorted)) % 0.28/0.88 (define @t388 () (@var "V_X" $$unsorted)) % 0.28/0.88 (define @t389 () (forall @t339 @t338)) % 0.28/0.88 (assume @p1 (forall (@list @t4 @t3 @t7 @t2 @t1) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5 (tptp.c_List_Olist_OCons @t7 @t2 @t3)) @t8)) (not @t6)))) % 0.28/0.88 (assume @p2 (forall @t13 (or @t6 @t12 @t10))) % 0.28/0.88 (assume @p3 (forall @t20 (or @t19 (= @t15 @t14)))) % 0.28/0.88 (assume @p4 (forall @t20 (or @t19 (= @t18 @t16)))) % 0.28/0.88 (assume @p5 (forall (@list @t22 @t7 @t1 @t21 @t18 @t3) (= (tptp.c_List_Ofoldr @t22 @t23 @t18 @t21 @t3) (tptp.hAPP (tptp.hAPP @t22 @t7) (tptp.c_List_Ofoldr @t22 @t1 @t18 @t21 @t3))))) % 0.28/0.88 (assume @p6 (forall (@list @t3 @t16 @t14) (not (= @t24 @t17)))) % 0.28/0.88 (assume @p7 (forall (@list @t3 @t7 @t1) (or @t28 (= (tptp.c_List_Olistsum @t8 @t3) (tptp.hAPP @t27 @t25))))) % 0.28/0.88 (assume @p8 (forall @t13 (or @t6 @t29 @t10))) % 0.28/0.88 (assume @p9 (forall (@list @t4 @t9 @t30 @t3 @t7) (or (not (tptp.hBOOL (tptp.hAPP @t11 @t30))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5 (tptp.c_List_Olist_OCons @t9 @t7 @t3)) (tptp.c_List_Olist_OCons @t30 @t7 @t3)))))) % 0.28/0.88 (assume @p10 (forall (@list @t7 @t9 @t1 @t2 @t4 @t3) (or @t31 @t29 @t10))) % 0.28/0.88 (assume @p11 (forall (@list @t22 @t18 @t7 @t1 @t21 @t3) (= (tptp.c_List_Ofoldl @t22 @t18 @t23 @t3 @t21) (tptp.c_List_Ofoldl @t22 (tptp.hAPP (tptp.hAPP @t22 @t18) @t7) @t1 @t3 @t21)))) % 0.28/0.88 (assume @p12 (forall (@list @t7 @t30 @t3) (not (= (tptp.c_List_Olist_OCons @t7 @t30 @t3) @t24)))) % 0.28/0.88 (assume @p13 (forall (@list @t16 @t14 @t3) (not (= @t17 @t24)))) % 0.28/0.88 (assume @p14 (forall (@list @t7 @t9 @t4 @t3 @t2 @t1) (or @t31 @t12 @t10))) % 0.28/0.88 (assume @p15 (forall (@list @t7 @t32 @t3) (not (= (tptp.c_List_Olist_OCons @t7 @t32 @t3) @t32)))) % 0.28/0.88 (assume @p16 (forall (@list @t1 @t7 @t3) (not (= @t1 @t8)))) % 0.28/0.88 (assume @p17 (forall @t37 (or (tptp.c_HOL_Oord__class_Oless @t36 @t35 tptp.tc_nat) @t33))) % 0.28/0.88 (assume @p18 (forall @t40 (or @t28 (= @t25 @t39)))) % 0.28/0.88 (assume @p19 (forall (@list @t4 @t3 @t7 @t1) (or (tptp.hBOOL (tptp.hAPP @t42 @t8)) @t44 (not (tptp.hBOOL (tptp.hAPP @t41 @t7)))))) % 0.28/0.88 (assume @p20 (forall @t45 (or @t28 (= (tptp.c_List_Olistsum @t24 @t3) @t38)))) % 0.28/0.88 (assume @p21 (forall @t45 (= @t46 @t36))) % 0.28/0.88 (assume @p22 (forall @t37 (or (not (= @t35 @t36)) @t33))) % 0.28/0.88 (assume @p23 (forall @t45 (not (tptp.c_HOL_Oord__class_Oless @t36 @t46 tptp.tc_nat)))) % 0.28/0.88 (assume @p24 (forall @t40 (or @t28 (= @t25 @t47)))) % 0.28/0.88 (assume @p25 (forall (@list @t4 @t50 @t32 @t49) (or (not (= @t52 @t51)) (= @t4 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t32 (tptp.c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1 @t4 @t50 @t32 @t49) tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) (= @t49 @t48)))) % 0.28/0.88 (assume @p26 (forall @t54 (or @t53 @t44))) % 0.28/0.88 (assume @p27 (forall @t54 (or @t43 (not @t53)))) % 0.28/0.88 (assume @p28 (forall (@list @t3 @t1 @t18) (or @t56 (= (tptp.c_List_Ofoldr @t26 @t1 @t18 @t3 @t3) @t55)))) % 0.28/0.88 (assume @p29 (forall @t63 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t57 @t62) @t61)) @t58))) % 0.28/0.88 (assume @p30 (forall @t72 (or @t71 @t70 @t65))) % 0.28/0.88 (assume @p31 (forall (@list @t67 @t73 @t66 @t32) (or (tptp.hBOOL (tptp.hAPP @t78 @t77)) @t76))) % 0.28/0.88 (assume @p32 (forall (@list @t80 @t81 @t79) (or (tptp.hBOOL (tptp.hAPP @t86 @t85)) @t84))) % 0.28/0.88 (assume @p33 (forall @t90 (or @t89 @t58))) % 0.28/0.88 (assume @p34 (forall @t95 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t57 @t94) @t92)) @t58))) % 0.28/0.88 (assume @p35 (forall @t90 (or @t89 @t96))) % 0.28/0.88 (assume @p36 (forall (@list @t4 @t50) (= @t52 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t52 @t48 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.28/0.88 (assume @p37 (forall (@list @t4 @t50 @t32) (or (not (= @t52 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t32 @t48 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) (= @t52 @t32)))) % 0.28/0.88 (assume @p38 (forall (@list @t50 @t97) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t57 @t99) (tptp.c_Lambda_OdB_OAbs @t97))) @t98))) % 0.28/0.88 (assume @p39 (forall (@list @t50 @t32 @t64) (or (tptp.hBOOL (tptp.hAPP @t102 (tptp.hAPP @t100 @t64))) @t65))) % 0.28/0.88 (assume @p40 (forall (@list @t50 @t32 @t97) (or (tptp.hBOOL (tptp.hAPP @t102 (tptp.hAPP @t103 @t32))) @t98))) % 0.28/0.88 (assume @p41 (forall (@list @t50 @t32 @t97 @t64) (or (tptp.hBOOL (tptp.hAPP @t102 (tptp.hAPP @t103 @t64))) @t65 @t98))) % 0.28/0.88 (assume @p42 (forall (@list @t3 @t7 @t104) (or @t28 (= (tptp.hAPP @t27 (tptp.c_List_Ofoldl @t26 @t38 @t104 @t3 @t3)) (tptp.c_List_Ofoldl @t26 @t7 @t104 @t3 @t3))))) % 0.28/0.88 (assume @p43 (forall @t111 (or @t110 @t109 (not @t108)))) % 0.28/0.88 (assume @p44 (forall @t111 (or @t110 @t108 (not @t109)))) % 0.28/0.88 (assume @p45 (forall @t45 (or (not (tptp.class_Ring__and__Field_Osemiring__1 @t3)) (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t36 @t3) @t38)))) % 0.28/0.88 (assume @p46 (forall @t118 (or @t110 (tptp.c_HOL_Oord__class_Oless @t115 @t117 @t3) (not (tptp.c_HOL_Oord__class_Oless @t115 @t114 @t3)) @t113))) % 0.28/0.88 (assume @p47 (forall @t121 (or @t120 (tptp.c_HOL_Oord__class_Oless @t38 @t119 @t3) (not (tptp.c_HOL_Oord__class_Oless @t38 @t115 @t3)) @t113))) % 0.28/0.88 (assume @p48 (forall @t127 (or @t126 @t125 @t123))) % 0.28/0.88 (assume @p49 (forall @t127 (or @t126 @t122 @t128))) % 0.28/0.88 (assume @p50 (forall @t127 (or @t129 @t122 @t128))) % 0.28/0.88 (assume @p51 (forall @t127 (or @t129 @t125 @t123))) % 0.28/0.88 (assume @p52 (forall @t121 (or @t120 (tptp.c_HOL_Oord__class_Oless @t119 @t38 @t3) (not (tptp.c_HOL_Oord__class_Oless @t115 @t38 @t3)) @t123))) % 0.28/0.88 (assume @p53 (forall (@list @t3 @t106) (or @t110 (not (tptp.c_HOL_Oord__class_Oless @t107 @t38 @t3))))) % 0.28/0.88 (assume @p54 (forall @t127 (or @t129 @t112 (not @t130)))) % 0.28/0.88 (assume @p55 (forall @t127 (or @t129 @t130 @t113))) % 0.28/0.88 (assume @p56 (forall (@list @t4 @t3 @t18 @t115) (or @t133 @t132 (not @t131)))) % 0.28/0.88 (assume @p57 (forall (@list @t4 @t3 @t9 @t18) (or (tptp.hBOOL (tptp.hAPP @t41 @t9)) (not (tptp.hBOOL (tptp.hAPP @t11 @t18))) @t134))) % 0.28/0.88 (assume @p58 (forall @t139 (or @t138 (not (tptp.hBOOL (tptp.hAPP @t137 @t114))) (not (tptp.hBOOL (tptp.hAPP @t136 @t115)))))) % 0.28/0.88 (assume @p59 (forall @t139 (or @t138 (not (tptp.hBOOL (tptp.hAPP @t140 @t114))) @t132))) % 0.28/0.88 (assume @p60 (forall (@list @t141 @t18 @t115 @t3) (or (= @t145 (tptp.hAPP @t143 @t18)) @t142))) % 0.28/0.88 (assume @p61 (forall @t147 (or (= @t146 (tptp.hAPP @t143 (tptp.hAPP @t144 @t114))) @t142))) % 0.28/0.88 (assume @p62 (forall @t147 (or (= (tptp.hAPP (tptp.hAPP @t141 @t145) @t114) @t146) @t142))) % 0.28/0.88 (assume @p63 (forall @t153 (or @t152 @t151 (not @t150)))) % 0.28/0.88 (assume @p64 (forall @t155 (or @t152 @t150 @t154))) % 0.28/0.88 (assume @p65 (forall @t155 (or @t156 @t150 @t154))) % 0.28/0.88 (assume @p66 (forall @t153 (or @t152 @t151 (not @t159)))) % 0.28/0.88 (assume @p67 (forall @t160 (or @t152 @t159 @t154))) % 0.28/0.88 (assume @p68 (forall @t160 (or @t156 @t159 @t154))) % 0.28/0.88 (assume @p69 (forall (@list @t4 @t3 @t21) (= (tptp.c_Predicate_Oconversep @t161 @t21 @t3) @t4))) % 0.28/0.88 (assume @p70 (forall (@list @t3 @t18 @t114 @t115 @t162) (or @t156 (tptp.c_HOL_Oord__class_Oless @t117 @t163 @t3) (not (tptp.c_HOL_Oord__class_Oless @t114 @t162 @t3)) @t154))) % 0.28/0.88 (assume @p71 (forall @t45 (= (tptp.c_Predicate_Oconversep @t164 @t3 @t3) @t164))) % 0.28/0.88 (assume @p72 (forall (@list @t22 @t18 @t21 @t3) (= (tptp.c_List_Ofoldl @t22 @t18 @t165 @t3 @t21) @t18))) % 0.28/0.88 (assume @p73 (forall @t54 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5 @t1) @t24))))) % 0.28/0.88 (assume @p74 (forall @t54 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5 @t24) @t1))))) % 0.28/0.88 (assume @p75 (forall @t168 (or @t167 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4 @t7) @t9)))))) % 0.28/0.88 (assume @p76 (forall @t127 (or @t129 (not (= @t124 @t38)) @t169))) % 0.28/0.88 (assume @p77 (forall (@list @t3 @t7 @t18) (or @t171 @t170 (not (= @t7 (tptp.hAPP @t27 @t18))) @t169))) % 0.28/0.88 (assume @p78 (forall @t111 (or (not (tptp.class_Nat_Osemiring__char__0 @t3)) (not (= @t107 @t105)) @t172))) % 0.28/0.88 (assume @p79 (forall (@list @t3 @t7 @t9 @t104) (or (not (tptp.class_OrderedGroup_Osemigroup__add @t3)) (= (tptp.c_List_Ofoldl @t26 @t173 @t104 @t3 @t3) (tptp.hAPP @t27 (tptp.c_List_Ofoldl @t26 @t9 @t104 @t3 @t3)))))) % 0.28/0.88 (assume @p80 (forall @t176 (or @t175 (= @t173 (tptp.hAPP @t174 @t7))))) % 0.28/0.88 (assume @p81 (forall @t121 (or @t178 (= @t119 @t177)))) % 0.28/0.88 (assume @p82 (forall (@list @t3 @t18 @t114) (or @t175 (= @t117 @t149)))) % 0.28/0.88 (assume @p83 (forall @t181 (or @t180 (not (tptp.hBOOL (tptp.hAPP @t179 @t4)))))) % 0.28/0.88 (assume @p84 (forall (@list @t32) (or (tptp.hBOOL (tptp.hAPP @t179 @t32)) @t182))) % 0.28/0.88 (assume @p85 (forall (@list @t4 @t3 @t7 @t183 @t9) (or (tptp.hBOOL (tptp.hAPP @t166 @t183)) (not (tptp.hBOOL (tptp.hAPP @t184 @t183))) (not @t167)))) % 0.28/0.88 (assume @p86 (forall @t186 (or @t131 @t134 @t185))) % 0.28/0.88 (assume @p87 (forall @t186 (or @t131 @t185 @t134))) % 0.28/0.88 (assume @p88 (forall (@list @t4 @t3 @t7) (tptp.hBOOL (tptp.hAPP @t166 @t7)))) % 0.28/0.88 (assume @p89 (forall (@list @t4 @t3 @t18) (tptp.hBOOL (tptp.hAPP @t136 @t18)))) % 0.28/0.88 (assume @p90 (forall (@list @t187 @t3) (tptp.c_List_Olistsp @t187 @t24 @t3))) % 0.28/0.88 (assume @p91 (forall @t45 (or @t129 (= (tptp.hAPP @t188 @t38) @t38)))) % 0.28/0.88 (assume @p92 (forall @t190 (or @t175 (= @t189 (tptp.hAPP (tptp.hAPP @t26 @t173) @t183))))) % 0.28/0.88 (assume @p93 (forall @t190 (or @t192 (= @t189 (tptp.hAPP @t174 @t191))))) % 0.28/0.88 (assume @p94 (forall @t153 (or @t178 @t196))) % 0.28/0.88 (assume @p95 (forall @t153 (or @t178 (= @t193 (tptp.hAPP @t157 @t117))))) % 0.28/0.88 (assume @p96 (forall @t153 (or @t56 @t196))) % 0.28/0.88 (assume @p97 (forall @t200 (or @t175 (= @t199 (tptp.hAPP @t197 @t162))))) % 0.28/0.88 (assume @p98 (forall @t153 (or @t175 (= @t195 (tptp.hAPP @t197 @t115))))) % 0.28/0.88 (assume @p99 (forall @t200 (or @t175 (= @t199 (tptp.hAPP @t148 (tptp.hAPP @t116 @t162)))))) % 0.28/0.88 (assume @p100 (forall @t153 (or @t175 @t196))) % 0.28/0.88 (assume @p101 (forall (@list @t4 @t3 @t21 @t115 @t18) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t161 @t115) @t18)) @t132))) % 0.28/0.88 (assume @p102 (forall (@list @t4 @t201 @t202 @t3 @t21) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4 @t201) @t202)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t161 @t202) @t201)))))) % 0.28/0.88 (assume @p103 (forall (@list @t4 @t3 @t21 @t18 @t115) (or @t204 (not @t203)))) % 0.28/0.88 (assume @p104 (forall (@list @t4 @t115 @t18 @t3 @t21) (or @t203 (not @t204)))) % 0.28/0.88 (assume @p105 (forall (@list @t3 @t7 @t9 @t183 @t73) (or @t192 (not (= @t189 (tptp.hAPP @t174 @t73))) (= @t191 @t73)))) % 0.28/0.88 (assume @p106 (forall (@list @t22 @t21 @t18 @t3) (= (tptp.c_List_Ofoldr @t22 @t165 @t18 @t21 @t3) @t18))) % 0.28/0.88 (assume @p107 (forall (@list @t4 @t3 @t9 @t7) (or @t206 (not @t205)))) % 0.28/0.88 (assume @p108 (forall @t168 (or @t205 (not @t206)))) % 0.28/0.88 (assume @p109 (forall @t190 (or @t171 @t170 (not (= @t173 @t191)) (= @t9 @t183)))) % 0.28/0.88 (assume @p110 (forall @t153 (or (not (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add @t3)) @t208 @t207))) % 0.28/0.88 (assume @p111 (forall @t153 (or @t209 @t208 @t207))) % 0.28/0.88 (assume @p112 (forall @t118 (or @t209 (not (= @t177 @t149)) @t207))) % 0.28/0.88 (assume @p113 (forall (@list @t3 @t18 @t115 @t114 @t162) (or @t175 (= (tptp.hAPP @t194 @t198) (tptp.hAPP @t197 @t163))))) % 0.28/0.88 (assume @p114 (forall (@list @t4 @t3) (= (tptp.c_Transitive__Closure_Ortranclp @t135 @t3) @t135))) % 0.28/0.88 (assume @p115 (forall @t210 (or @t175 (= (tptp.hAPP @t188 @t7) @t7)))) % 0.28/0.88 (assume @p116 (forall @t127 (or @t178 @t211))) % 0.28/0.88 (assume @p117 (forall @t210 (or @t171 @t170 (= @t7 (tptp.hAPP @t27 @t38))))) % 0.28/0.88 (assume @p118 (forall @t127 (or @t178 @t212))) % 0.28/0.88 (assume @p119 (forall @t127 (or @t28 @t211))) % 0.28/0.88 (assume @p120 (forall @t127 (or @t28 @t212))) % 0.28/0.88 (assume @p121 (forall @t127 (or @t175 @t212))) % 0.28/0.88 (assume @p122 (forall @t127 (or @t175 @t211))) % 0.28/0.88 (assume @p123 (forall (@list @t141 @t1 @t18 @t3) (or (= (tptp.c_List_Ofoldr @t141 @t1 @t18 @t3 @t3) (tptp.c_List_Ofoldl @t141 @t18 @t1 @t3 @t3)) @t142))) % 0.28/0.88 (assume @p124 (forall @t217 (or (not (tptp.hBOOL (tptp.hAPP @t179 @t216))) (not (tptp.hBOOL (tptp.hAPP @t179 @t50))) (tptp.hBOOL (tptp.hAPP @t179 @t215))))) % 0.28/0.88 (assume @p125 (forall (@list @t4 @t80 @t213) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t4 @t80 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) @t218)) (not (tptp.hBOOL (tptp.hAPP @t86 @t213)))))) % 0.28/0.88 (assume @p126 (forall @t220 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t57 @t218) @t219)) @t58))) % 0.28/0.88 (assume @p127 (forall @t181 (= @t221 @t214))) % 0.28/0.88 (assume @p128 (forall @t224 (or @t223 @t222))) % 0.28/0.88 (assume @p129 (forall @t181 (= @t214 @t221))) % 0.28/0.88 (assume @p130 (forall @t217 (or @t225 @t222))) % 0.28/0.88 (assume @p131 (forall @t228 (or @t227 @t222))) % 0.28/0.88 (assume @p132 (forall @t229 (= @t226 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t226 @t48 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.28/0.88 (assume @p133 (forall (@list @t3 @t18 @t1) (or @t28 (= @t55 (tptp.hAPP @t116 @t47))))) % 0.28/0.88 (assume @p134 (forall @t40 (or @t28 (= @t39 @t47)))) % 0.28/0.88 (assume @p135 (forall (@list @t67 @t32 @t66 @t73) (or (tptp.hBOOL (tptp.hAPP @t69 (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t77) @t66))) @t76))) % 0.28/0.88 (assume @p136 (forall @t232 (or @t110 @t231 (not @t230)))) % 0.28/0.88 (assume @p137 (forall @t232 (or @t110 @t230 (not @t231)))) % 0.28/0.88 (assume @p138 (forall (@list @t79 @t81 @t80) (or (= @t79 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t82 @t85 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) @t84))) % 0.28/0.88 (assume @p139 (forall (@list @t81 @t80) (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t83)) (not (tptp.c_List_Olistsp tptp.c_InductTermi_OIT @t80 tptp.tc_Lambda_OdB))))) % 0.28/0.88 (assume @p140 (forall @t236 (or (tptp.c_Type_Otypings @t67 @t49 @t235) @t234))) % 0.28/0.88 (assume @p141 (forall @t236 (or (tptp.c_Type_Otypings @t67 @t49 @t237) @t234))) % 0.28/0.88 (assume @p142 (forall (@list @t67 @t238 @t66 @t244 @t59 @t49 @t242) (or (tptp.c_Type_Otypings @t67 @t238 @t247) @t246 @t243 @t241))) % 0.28/0.88 (assume @p143 (forall (@list @t67 @t49 @t66 @t59) (or (tptp.c_Type_Otypings @t67 @t49 @t249) @t248))) % 0.28/0.88 (assume @p144 (forall @t250 (or (tptp.hBOOL (tptp.hAPP @t69 (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun @t237 @t66 tptp.tc_Type_Otype tptp.tc_Type_Otype))) @t234))) % 0.28/0.88 (assume @p145 (forall @t250 (or (tptp.hBOOL (tptp.hAPP @t69 (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun @t235 @t66 tptp.tc_Type_Otype tptp.tc_Type_Otype))) @t234))) % 0.28/0.88 (assume @p146 (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Type_Otyping (tptp.hAPP (tptp.hAPP (tptp.hAPP @t253 tptp.v_ea______) tptp.v_ia______) tptp.v_T____)) @t252) tptp.v_T_Ha______))) % 0.28/0.88 (assume @p147 (forall (@list @t67 @t59 @t66 @t49) (or (tptp.hBOOL (tptp.hAPP @t254 (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun @t249 @t66 tptp.tc_Type_Otype tptp.tc_Type_Otype))) @t248))) % 0.28/0.88 (assume @p148 (forall (@list @t244 @t66 @t67 @t238 @t59 @t49 @t242) (or (= @t244 (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun @t247 @t66 tptp.tc_Type_Otype tptp.tc_Type_Otype)) @t246 @t243 @t241))) % 0.28/0.88 (assume @p149 (forall (@list @t258 @t257 @t255) (not (= @t259 @t256)))) % 0.28/0.88 (assume @p150 (forall @t262 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t99) @t261)) @t260))) % 0.28/0.88 (assume @p151 (forall (@list @t50 @t32 @t81 @t213) (not (= @t264 @t263)))) % 0.28/0.88 (assume @p152 (forall @t265 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.hAPP @t74 @t239))) @t182))) % 0.28/0.88 (assume @p153 (forall @t63 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t62) @t61)) @t96))) % 0.28/0.88 (assume @p154 (forall (@list @t59 @t266) (or (= (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Olift @t239) @t266) @t239) (not (tptp.c_HOL_Oord__class_Oless @t59 @t266 tptp.tc_nat))))) % 0.28/0.88 (assume @p155 (forall (@list @t32 @t266 @t50) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t268) @t50) @t266) @t32))) % 0.28/0.88 (assume @p156 (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT tptp.v_u____))) % 0.28/0.88 (assume @p157 (forall (@list @t50 @t73 @t32) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta (tptp.hAPP @t100 @t73)) @t75)) @t260))) % 0.28/0.88 (assume @p158 (forall (@list @t73 @t50 @t32) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta (tptp.hAPP @t269 @t50)) (tptp.hAPP @t269 @t32))) @t260))) % 0.28/0.88 (assume @p159 (forall @t181 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t214)) @t270))) % 0.28/0.88 (assume @p160 (forall (@list @t4 @t49 @t50) (or (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t4 @t49 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t50 @t49 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) @t271))) % 0.28/0.88 (assume @p161 (forall @t217 (or @t225 (= @t214 @t50)))) % 0.28/0.88 (assume @p162 (= tptp.v_T____ @t273)) % 0.28/0.88 (assume @p163 (forall (@list @t7 @t50) (or @t275 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t274) @t50) @t7) @t50)))) % 0.28/0.88 (assume @p164 (forall @t276 (not (tptp.c_HOL_Oord__class_Oless @t81 @t36 tptp.tc_nat)))) % 0.28/0.88 (assume @p165 (forall @t229 (not (tptp.c_HOL_Oord__class_Oless @t106 @t36 tptp.tc_nat)))) % 0.28/0.88 (assume @p166 (forall (@list @t3 @t183 @t7 @t9) (or @t279 (tptp.c_HOL_Oord__class_Oless @t183 @t7 @t3) (not (tptp.c_HOL_Oord__class_Oless @t183 @t9 @t3)) @t278))) % 0.28/0.88 (assume @p167 (forall (@list @t3 @t7 @t183 @t9) (or @t282 (tptp.c_HOL_Oord__class_Oless @t7 @t183 @t3) (not (tptp.c_HOL_Oord__class_Oless @t9 @t183 @t3)) @t281))) % 0.28/0.88 (assume @p168 (forall (@list @t67 @t32 @t49 @t66 @t242) (or @t233 @t243 (not (tptp.hBOOL (tptp.hAPP @t69 (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun @t242 @t66 tptp.tc_Type_Otype tptp.tc_Type_Otype))))))) % 0.28/0.88 (assume @p169 (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT tptp.v_ua______))) % 0.28/0.88 (assume @p170 (forall (@list @t59 @t50 @t266) (or (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t239) @t50) @t266) @t239) (= @t59 @t266) (tptp.c_HOL_Oord__class_Oless @t266 @t59 tptp.tc_nat)))) % 0.28/0.88 (assume @p171 (forall @t95 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t94) @t92)) @t96))) % 0.28/0.88 (assume @p172 (forall (@list @t50 @t32 @t266) (= (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Olift @t101) @t266) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.hAPP @t60 @t266)) @t268)))) % 0.28/0.88 (assume @p173 (forall @t276 (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t82)))) % 0.28/0.88 (assume @p174 (forall (@list @t255 @t283) (not (= @t256 @t284)))) % 0.28/0.88 (assume @p175 (forall @t217 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t215)) (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t50))) (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t216)))))) % 0.28/0.88 (assume @p176 (forall @t265 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t285)) @t182))) % 0.28/0.88 (assume @p177 (forall (@list @t81 @t49 @t4 @t213) (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t82 @t49 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t214 @t213 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))))) % 0.28/0.88 (assume @p178 (forall (@list @t286 @t283) (or (not (= (tptp.c_Lambda_OdB_OAbs @t286) @t284)) (= @t286 @t283)))) % 0.28/0.88 (assume @p179 (forall (@list @t255 @t258 @t257) (not (= @t256 @t259)))) % 0.28/0.88 (assume @p180 (forall @t228 (or @t227 (= @t226 @t50)))) % 0.28/0.88 (assume @p181 (forall @t220 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t218) @t219)) @t96))) % 0.28/0.88 (assume @p182 (tptp.hBOOL (tptp.hAPP @t287 @t273))) % 0.28/0.88 (assume @p183 (forall @t288 (not @t275))) % 0.28/0.88 (assume @p184 (forall @t276 (not (tptp.c_HOL_Oord__class_Oless @t81 @t81 tptp.tc_nat)))) % 0.28/0.88 (assume @p185 (forall @t210 (or @t279 @t289))) % 0.28/0.88 (assume @p186 (forall @t210 (or @t290 @t289))) % 0.28/0.88 (assume @p187 (forall @t210 (or @t282 @t289))) % 0.28/0.88 (assume @p188 (forall @t262 (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t264) (tptp.hAPP @t91 @t36))))) % 0.28/0.88 (assume @p189 (forall @t291 (or @t126 @t277 @t280 @t31))) % 0.28/0.88 (assume @p190 (forall @t176 (or @t290 @t31 @t277 @t280))) % 0.28/0.88 (assume @p191 (forall (@list @t81 @t106) (or @t292 @t109 @t172))) % 0.28/0.88 (assume @p192 (forall (@list @t293 @t81 @t106) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t293 @t81) @t106)) @t292 @t172 @t109))) % 0.28/0.88 (assume @p193 (forall (@list @t66 @t244 @t67 @t59 @t49) (or (= @t66 @t244) @t246 @t248))) % 0.28/0.88 (assume @p194 (forall (@list @t9 @t7) (or (tptp.c_HOL_Oord__class_Oless @t9 @t7 tptp.tc_nat) (tptp.c_HOL_Oord__class_Oless @t7 @t9 tptp.tc_nat) @t31))) % 0.28/0.88 (assume @p195 (forall @t291 (or @t290 @t277 @t280 @t31))) % 0.28/0.88 (assume @p196 (forall @t291 (or @t290 @t277 @t31 @t280))) % 0.28/0.88 (assume @p197 (forall @t176 (or @t290 @t31 @t280 @t277))) % 0.28/0.88 (assume @p198 (forall @t298 (or @t297 (= @t294 @t257)))) % 0.28/0.88 (assume @p199 (forall @t298 (or @t297 (= @t295 @t258)))) % 0.28/0.88 (assume @p200 (forall @t301 (or @t300 @t299))) % 0.28/0.88 (assume @p201 (forall @t301 (or @t300 @t271))) % 0.28/0.88 (assume @p202 (forall @t224 (or @t223 (= @t50 @t214)))) % 0.28/0.88 (assume @p203 (forall (@list @t303 @t50 @t32 @t244 @t66) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t304 @t101) @t244)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t304 @t32) @t66))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t304 @t50) @t302)))))) % 0.28/0.88 (assume @p204 (forall (@list @t59 @t32) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t239) @t32))))) % 0.28/0.88 (assume @p205 (forall @t276 (or @t230 (= @t81 @t36)))) % 0.28/0.88 (assume @p206 (not (tptp.c_HOL_Oord__class_Oless @t36 @t36 tptp.tc_nat))) % 0.28/0.88 (assume @p207 (forall (@list @t305 @t73 @t59) (or (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t307) @t73) @t59) @t307) @t306))) % 0.28/0.88 (assume @p208 (forall (@list @t4 @t59 @t305) (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.hAPP (tptp.hAPP @t93 @t239) @t305))) @t270))) % 0.28/0.88 (assume @p209 (forall @t313 (or @t312 (= @t309 @t308)))) % 0.28/0.88 (assume @p210 (forall @t313 (or @t312 (= @t311 @t310)))) % 0.28/0.88 (assume @p211 (forall (@list @t266 @t73) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OVar @t266)) @t73) @t266) @t73))) % 0.28/0.88 (assume @p212 (forall @t315 (or @t314 @t299))) % 0.28/0.88 (assume @p213 (forall @t315 (or @t314 @t172))) % 0.28/0.88 (assume @p214 (forall (@list @t283 @t295 @t294) (not (= @t284 @t296)))) % 0.28/0.88 (assume @p215 (forall (@list @t255 @t316) (or (not (= @t256 (tptp.c_Lambda_OdB_OVar @t316))) (= @t255 @t316)))) % 0.28/0.88 (assume @p216 (forall (@list @t295 @t294 @t283) (not (= @t296 @t284)))) % 0.28/0.88 (assume @p217 (forall (@list @t283 @t255) (not (= @t284 @t256)))) % 0.28/0.88 (assume @p218 (forall (@list @t32 @t73 @t50 @t266) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t75) @t50) @t266) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.hAPP @t88 @t266)) (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Osubst @t73) @t50) @t266))))) % 0.28/0.88 (assume @p219 (forall @t121 (or @t279 @t154 @t317))) % 0.28/0.88 (assume @p220 (forall @t176 (or @t290 @t281 @t278))) % 0.28/0.88 (assume @p221 (forall @t291 (or @t282 @t278 @t281))) % 0.28/0.88 (assume @p222 (forall (@list @t3 @t115 @t18) (or @t282 @t317 @t154))) % 0.28/0.88 (assume @p223 (forall (@list @t67 @t59 @t244 @t32 @t66) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Type_Otyping (tptp.hAPP @t318 @t244)) @t285) @t66)) @t70))) % 0.28/0.88 (assume @p224 (tptp.hBOOL (tptp.hAPP @t287 tptp.v_T____))) % 0.28/0.88 (assume @p225 (forall (@list @t323 @t320 @t321 @t319) (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.hAPP (tptp.hAPP @t325 @t323) @t320))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t324 @t323) tptp.v_T____))) (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t323))) @t322))) % 0.28/0.88 (assume @p226 (forall (@list @t73 @t320 @t321 @t319) (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.hAPP (tptp.hAPP @t325 @t73) @t320))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t324 @t73) tptp.v_T____))) @t326 @t322))) % 0.28/0.88 (assume @p227 (forall @t72 (or @t71 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t32) @t64))) @t70))) % 0.28/0.88 (assume @p228 (forall (@list @t3 @t67 @t59 @t66 @t305) (or (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t327 @t59) @t66) @t305) (tptp.hAPP @t67 @t305)) @t306))) % 0.28/0.88 (assume @p229 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t329 tptp.v_a____) tptp.v_T_H_H____))) % 0.28/0.88 (assume @p230 (forall @t336 (or @t335 @t333 (not (tptp.hBOOL (tptp.hAPP @t78 @t331))) @t326 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Type_Otyping (tptp.hAPP @t318 @t331)) @t32) @t330))) @t182))) % 0.28/0.88 (assume @p231 (forall @t336 (or @t335 @t333 (not (tptp.hBOOL (tptp.hAPP @t78 @t334))) @t326 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Type_Otyping (tptp.hAPP @t318 @t334)) @t32) @t330))) @t182))) % 0.28/0.88 (assume @p232 (forall (@list @t3 @t67 @t7 @t66) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t327 @t7) @t66) @t7) @t66))) % 0.28/0.88 (assume @p233 (forall (@list @t303 @t32 @t66 @t244) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t304 @t261) @t302)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Type_Otyping (tptp.hAPP (tptp.hAPP (tptp.hAPP @t253 @t303) @t36) @t66)) @t32) @t244)))))) % 0.28/0.88 (assume @p234 (= tptp.v_n____ tptp.v_i____)) % 0.28/0.88 (assume @p235 @t340) % 0.28/0.88 (assume @p236 (forall (@list @t67 @t59 @t66) (or (= (tptp.hAPP @t67 @t59) @t66) (not (tptp.hBOOL (tptp.hAPP @t254 @t66)))))) % 0.28/0.88 (assume @p237 @t342) % 0.28/0.88 (assume @p238 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t329 @t251) @t273))) % 0.28/0.88 (assume @p239 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t329 (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t251) tptp.v_a____)) @t272))) % 0.28/0.88 (assume @p240 (tptp.c_Type_Otypings @t328 tptp.v_as____ tptp.v_Ts____)) % 0.28/0.88 (assume @p241 (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Type_Otyping tptp.v_ea______) tptp.v_ua______) tptp.v_T____))) % 0.28/0.88 (assume @p242 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t329 @t252) tptp.v_T_H____))) % 0.28/0.88 (assume @p243 (tptp.hBOOL (tptp.hAPP @t337 (tptp.v_sko__local__XCons__1__1 tptp.v_T____ tptp.v_b____ tptp.v_e____ tptp.v_i____)))) % 0.28/0.88 (assume @p244 (forall (@list @t303 @t7) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t304 @t274) (tptp.hAPP @t303 @t7))))) % 0.28/0.88 (assume @p245 (forall (@list @t343 @t73 @t244 @t59 @t32 @t66) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t344 @t73) @t244))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.hAPP tptp.c_Type_Otyping (tptp.hAPP (tptp.hAPP (tptp.hAPP @t253 @t343) @t59) @t244)) @t32) @t66))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t344 @t332) @t66))))) % 0.28/0.88 (assume @p246 (tptp.c_List_Olistsp tptp.c_InductTermi_OIT (tptp.c_List_Omap (tptp.hAPP (tptp.hAPP @t346 tptp.c_Lambda_Olift) @t36) (tptp.c_List_Omap (tptp.hAPP (tptp.hAPP @t346 (tptp.hAPP (tptp.hAPP (tptp.c_COMBC tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB @t345) tptp.c_Lambda_Osubst) tptp.v_u____)) tptp.v_i____) tptp.v_bs____ tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) tptp.tc_Lambda_OdB)) % 0.28/0.88 (assume @p247 (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 @t355 tptp.c_and) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t382 tptp.tc_bool tptp.tc_Lambda_OdB) (tptp.c_All @t350)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t381 @t382 tptp.tc_Lambda_OdB) (tptp.hAPP (tptp.c_COMBB @t347 tptp.tc_bool @t350) (tptp.c_All tptp.tc_Type_Otype))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t380 @t381 tptp.tc_Lambda_OdB) (tptp.hAPP (tptp.c_COMBB @t352 @t347 @t350) (tptp.hAPP (tptp.c_COMBB @t351 tptp.tc_bool tptp.tc_Type_Otype) (tptp.c_All tptp.tc_Lambda_OdB)))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t379 @t380 tptp.tc_Lambda_OdB) (tptp.hAPP (tptp.c_COMBB @t376 @t352 @t350) (tptp.hAPP (tptp.c_COMBB @t349 @t351 tptp.tc_Type_Otype) (tptp.hAPP (tptp.c_COMBB @t348 tptp.tc_bool tptp.tc_Lambda_OdB) (tptp.c_All tptp.tc_nat))))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Lambda_OdB @t363 @t379) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t378 (tptp.tc_fun @t363 @t379) tptp.tc_Lambda_OdB) (tptp.c_COMBS @t350 @t349 @t376)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t375 @t378 tptp.tc_Lambda_OdB) (tptp.hAPP (tptp.c_COMBB @t374 @t377 @t350) (tptp.c_COMBC tptp.tc_Type_Otype @t349 @t349))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t373 @t375 tptp.tc_Lambda_OdB) (tptp.hAPP (tptp.c_COMBB @t372 @t374 @t350) (tptp.hAPP (tptp.c_COMBB @t358 @t362 tptp.tc_Type_Otype) (tptp.c_COMBB @t348 @t348 tptp.tc_Lambda_OdB)))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t371 @t373 tptp.tc_Lambda_OdB) (tptp.hAPP (tptp.c_COMBB @t370 @t372 @t350) (tptp.hAPP (tptp.c_COMBB @t369 @t358 tptp.tc_Type_Otype) (tptp.c_COMBS tptp.tc_nat tptp.tc_bool tptp.tc_bool)))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t368 @t371 tptp.tc_Lambda_OdB) (tptp.hAPP (tptp.c_COMBB @t367 @t370 @t350) (tptp.hAPP (tptp.c_COMBB @t348 @t369 tptp.tc_Type_Otype) (tptp.hAPP (tptp.c_COMBB tptp.tc_bool @t354 tptp.tc_nat) tptp.c_implies)))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun @t350 @t366) @t368 tptp.tc_Lambda_OdB) (tptp.hAPP (tptp.c_COMBB @t366 @t367 @t350) (tptp.c_COMBC tptp.tc_nat tptp.tc_Type_Otype tptp.tc_bool))) (tptp.hAPP (tptp.c_COMBC @t350 tptp.tc_Lambda_OdB @t366) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t365 (tptp.tc_fun tptp.tc_Lambda_OdB @t366) @t350) (tptp.c_COMBC tptp.tc_nat tptp.tc_Lambda_OdB @t347)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t364 @t365 @t350) (tptp.hAPP (tptp.c_COMBB @t350 @t353 tptp.tc_nat) tptp.c_Type_Otyping)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t350 tptp.tc_Type_Otype @t364) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB (tptp.tc_fun tptp.tc_nat (tptp.tc_fun tptp.tc_Type_Otype @t350)) (tptp.tc_fun tptp.tc_Type_Otype @t364) @t350) (tptp.c_COMBC tptp.tc_nat tptp.tc_Type_Otype @t350)) @t253)) tptp.v_T____))))))))))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t363 @t363 tptp.tc_Lambda_OdB) (tptp.hAPP (tptp.c_COMBB @t349 @t349 @t350) (tptp.hAPP @t361 (tptp.hAPP @t359 (tptp.hAPP @t356 tptp.c_InductTermi_OIT))))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t349 @t363 tptp.tc_Lambda_OdB) (tptp.hAPP (tptp.c_COMBC @t350 @t349 @t349) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t360 @t362 @t350) @t361) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t357 @t360 @t350) @t359) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t351 @t357 @t350) @t356) (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t350 tptp.tc_Type_Otype @t351) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t353 @t352 @t350) (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 @t345) @t349 tptp.tc_Lambda_OdB) (tptp.hAPP (tptp.c_COMBB @t345 @t348 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 @t347 tptp.tc_bool tptp.tc_Lambda_OdB) (tptp.c_Ex tptp.tc_Type_Otype)) @t329)) tptp.v_bs____ tptp.tc_Lambda_OdB)) % 0.28/0.88 (assume @p248 (tptp.hBOOL (tptp.hAPP @t337 (tptp.v_sko__CHAINED__1 tptp.v_T____ tptp.v_b____ tptp.v_e____ tptp.v_i____)))) % 0.28/0.88 (assume @p249 (not tptp.v_thesis____)) % 0.28/0.88 (assume @p250 (forall @t288 (or tptp.v_thesis____ (not (tptp.hBOOL (tptp.hAPP @t337 @t7)))))) % 0.28/0.88 (assume @p251 (forall @t386 (or (tptp.class_Orderings_Opreorder @t385) (not (tptp.class_Orderings_Opreorder @t383))))) % 0.28/0.88 (assume @p252 (forall @t386 (or (tptp.class_Orderings_Oorder @t385) (not (tptp.class_Orderings_Oorder @t383))))) % 0.28/0.88 (assume @p253 (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add tptp.tc_nat)) % 0.28/0.88 (assume @p254 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le tptp.tc_nat)) % 0.28/0.88 (assume @p255 (tptp.class_OrderedGroup_Opordered__comm__monoid__add tptp.tc_nat)) % 0.28/0.88 (assume @p256 (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add tptp.tc_nat)) % 0.28/0.88 (assume @p257 (tptp.class_OrderedGroup_Ocancel__semigroup__add tptp.tc_nat)) % 0.28/0.88 (assume @p258 (tptp.class_Ring__and__Field_Oordered__semidom tptp.tc_nat)) % 0.28/0.88 (assume @p259 (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_nat)) % 0.28/0.88 (assume @p260 (tptp.class_OrderedGroup_Oab__semigroup__add tptp.tc_nat)) % 0.28/0.88 (assume @p261 (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.tc_nat)) % 0.28/0.88 (assume @p262 (tptp.class_OrderedGroup_Osemigroup__add tptp.tc_nat)) % 0.28/0.88 (assume @p263 (tptp.class_Ring__and__Field_Osemiring__1 tptp.tc_nat)) % 0.28/0.88 (assume @p264 (tptp.class_OrderedGroup_Omonoid__add tptp.tc_nat)) % 0.28/0.88 (assume @p265 (tptp.class_Nat_Osemiring__char__0 tptp.tc_nat)) % 0.28/0.88 (assume @p266 (tptp.class_Orderings_Opreorder tptp.tc_nat)) % 0.28/0.88 (assume @p267 (tptp.class_Orderings_Olinorder tptp.tc_nat)) % 0.28/0.88 (assume @p268 (tptp.class_Orderings_Oorder tptp.tc_nat)) % 0.28/0.88 (assume @p269 (tptp.class_Orderings_Opreorder tptp.tc_bool)) % 0.28/0.88 (assume @p270 (tptp.class_Orderings_Oorder tptp.tc_bool)) % 0.28/0.88 (assume @p271 (forall @t210 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t164 @t7) @t7)))) % 0.28/0.88 (assume @p272 (forall (@list @t388 @t387 @t3) (or (= @t388 @t387) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t164 @t388) @t387)))))) % 0.28/0.88 (step @p273 :rule quant-miniscope-or :args ((= @t340 (or tptp.v_thesis____ @t389)))) % 0.28/0.88 (step @p274 :rule eq_resolve :premises (@p235 @p273)) % 0.28/0.88 (step @p275 :rule chain_m_resolution :premises (@p274 @p249) :args (@t389 (@list true) (@list tptp.v_thesis____))) % 0.28/0.88 (assume-push @p282 @t389) % 0.28/0.88 (step @p277 :rule instantiate :premises (@p275) :args ((@list @t341))) % 0.28/0.88 (step-pop @p283 :rule scope :premises (@p277)) % 0.28/0.88 (step @p278 :rule process_scope :premises (@p283) :args ((not @t342))) % 0.28/0.88 (step @p280 :rule implies_elim :premises (@p278)) % 0.28/0.88 (step @p281 false :rule chain_m_resolution :premises (@p280 @p275 @p237) :args (false (@list false false) (@list @t389 @t342))) % 0.28/0.88 ) % 0.28/0.88 % SZS output end Proof % 0.28/0.88 % cvc5 exiting %------------------------------------------------------------------------------