%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL822-1 : TPTP v9.3.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n005.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 11:23:57 AM UTC 2026 % Result : Unsatisfiable 0.38s 0.67s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL822-1 : TPTP v9.3.1. Released v4.1.0. % 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.11/0.37 % Computer : n005.cluster.edu % 0.11/0.37 % Model : x86_64 x86_64 % 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.37 % Memory : 8046.5625MB % 0.11/0.37 % OS : Linux 6.8.0-71-generic % 0.11/0.37 % CPULimit : 300 % 0.11/0.37 % WCLimit : 300 % 0.11/0.37 % DateTime : Sat Sep 5 20:33:36 UTC 2026 % 0.11/0.37 % CPUTime : % 0.19/0.49 %----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... % 0.38/0.67 % SZS status Unsatisfiable % 0.38/0.67 % SZS output start Proof % 0.38/0.69 ( % 0.38/0.69 (declare-sort $$unsorted 0) % 0.38/0.69 (declare-const tptp.c_COMBC (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.69 (declare-const tptp.v_Ts____ $$unsorted) % 0.38/0.69 (declare-const tptp.v_i____ $$unsorted) % 0.38/0.69 (declare-const tptp.v_ea______ $$unsorted) % 0.38/0.69 (declare-const tptp.v_ia______ $$unsorted) % 0.38/0.69 (declare-const tptp.v_n____ $$unsorted) % 0.38/0.69 (declare-const tptp.class_Ring__and__Field_Osemiring__1 (-> $$unsorted Bool)) % 0.38/0.69 (declare-const tptp.c_Lambda_Osubst (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.69 (declare-const tptp.c_Lambda_OdB_OApp $$unsorted) % 0.38/0.69 (declare-const tptp.c_Transitive__Closure_Ortranclp (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.69 (declare-const tptp.class_Ring__and__Field_Oordered__idom (-> $$unsorted Bool)) % 0.38/0.69 (declare-const tptp.c_Type_Otyping (-> $$unsorted $$unsorted)) % 0.38/0.69 (declare-const tptp.c_ListOrder_Ostep1 (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.69 (declare-const tptp.tc_Lambda_OdB $$unsorted) % 0.38/0.69 (declare-const tptp.c_InductTermi_OIT $$unsorted) % 0.38/0.69 (declare-const tptp.c_Lambda_OdB_OAbs (-> $$unsorted $$unsorted)) % 0.38/0.69 (declare-const tptp.tc_List_Olist (-> $$unsorted $$unsorted)) % 0.38/0.69 (declare-const tptp.tc_nat $$unsorted) % 0.38/0.69 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.69 (declare-const tptp.c_Type_Osko__Type__Xlist__app__typeE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.69 (declare-const tptp.c_Type_Otypings (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.69 (declare-const tptp.c_Predicate_Oconversep (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.69 (declare-const tptp.c_Nat_Osize__class_Osize (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.69 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 0.38/0.69 (declare-const tptp.class_Ring__and__Field_Oordered__semidom (-> $$unsorted Bool)) % 0.38/0.69 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted)) % 0.38/0.69 (declare-const tptp.c_Lambda_OdB_OVar (-> $$unsorted $$unsorted)) % 0.38/0.69 (declare-const tptp.c_HOL_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.69 (declare-const tptp.tc_bool $$unsorted) % 0.38/0.69 (declare-const tptp.class_Nat_Osemiring__char__0 (-> $$unsorted Bool)) % 0.38/0.69 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 0.38/0.69 (declare-const tptp.c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.69 (declare-const tptp.c_HOL_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 0.38/0.69 (declare-const tptp.c_List_Olist_ONil (-> $$unsorted $$unsorted)) % 0.38/0.69 (declare-const tptp.c_Type_Osko__Type__Xvar__app__types__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.69 (declare-const tptp.c_List_Ofoldr (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.69 (declare-const tptp.c_Lambda_Obeta $$unsorted) % 0.38/0.69 (declare-const tptp.class_Lattices_Olower__semilattice (-> $$unsorted Bool)) % 0.38/0.69 (declare-const tptp.c_Nat_Osemiring__1__class_Oof__nat (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.69 (declare-const tptp.c_Type_Osko__Type__Xtyping__elims__2__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.69 (declare-const tptp.tc_Type_Otype $$unsorted) % 0.38/0.69 (declare-const tptp.c_Type_Osko__Type__Xlist__app__typeD__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.69 (declare-const tptp.c_Type_Otype_OFun $$unsorted) % 0.38/0.69 (declare-const tptp.c_Lambda_Olift (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.69 (declare-const tptp.v_T_Ha______ $$unsorted) % 0.38/0.69 (declare-const tptp.v_T____ $$unsorted) % 0.38/0.69 (declare-const tptp.v_T_H____ $$unsorted) % 0.38/0.69 (declare-const tptp.v_u____ $$unsorted) % 0.38/0.69 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.69 (declare-const tptp.c_Lattices_Olower__semilattice__class_Oinf (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.69 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 0.38/0.69 (declare-const tptp.class_Lattices_Olattice (-> $$unsorted Bool)) % 0.38/0.69 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 0.38/0.69 (declare-const tptp.c_Wellfounded_Oaccp (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.69 (declare-const tptp.v_ua______ $$unsorted) % 0.38/0.69 (declare-const tptp.c_List_Oappend (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.69 (declare-const tptp.c_List_Olistsp (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.69 (declare-const tptp.c_List_Ofoldl (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.69 (declare-const tptp.c_Ex (-> $$unsorted $$unsorted)) % 0.38/0.69 (declare-const tptp.c_Type_Osko__Type__Xvar__app__typesE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.69 (declare-const tptp.c_Type_Oshift (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.69 (declare-const tptp.v_rs____ $$unsorted) % 0.38/0.69 (declare-const tptp.v_e____ $$unsorted) % 0.38/0.69 (declare-const tptp.c_COMBB (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.69 (declare-const tptp.c_Set_Oimage (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.69 (declare-const tptp.c_List_Osko__List__Xin__listsp__conv__set__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.69 (define @t1 () (@var "T_a" $$unsorted)) % 0.38/0.69 (define @t2 () (@var "V_r" $$unsorted)) % 0.38/0.69 (define @t3 () (tptp.c_Transitive__Closure_Ortranclp @t2 @t1)) % 0.38/0.69 (define @t4 () (@var "V_x" $$unsorted)) % 0.38/0.69 (define @t5 () (@var "V_y" $$unsorted)) % 0.38/0.69 (define @t6 () (tptp.hAPP @t3 @t5)) % 0.38/0.69 (define @t7 () (tptp.hBOOL (tptp.hAPP @t6 @t4))) % 0.38/0.69 (define @t8 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Transitive__Closure_Ortranclp (tptp.c_Predicate_Oconversep @t2 @t1 @t1) @t1) @t4) @t5))) % 0.38/0.69 (define @t9 () (@list @t2 @t1 @t4 @t5)) % 0.38/0.69 (define @t10 () (@var "V_a" $$unsorted)) % 0.38/0.69 (define @t11 () (@var "T_b" $$unsorted)) % 0.38/0.69 (define @t12 () (tptp.c_List_Olist_ONil @t11)) % 0.38/0.69 (define @t13 () (@var "V_f" $$unsorted)) % 0.38/0.69 (define @t14 () (@var "V_b" $$unsorted)) % 0.38/0.69 (define @t15 () (tptp.c_Predicate_Oconversep @t2 @t1 @t11)) % 0.38/0.69 (define @t16 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t15 @t10) @t14))) % 0.38/0.69 (define @t17 () (tptp.hAPP @t2 @t14)) % 0.38/0.69 (define @t18 () (tptp.hBOOL (tptp.hAPP @t17 @t10))) % 0.38/0.69 (define @t19 () (@var "V_a2" $$unsorted)) % 0.38/0.69 (define @t20 () (@var "V_a1" $$unsorted)) % 0.38/0.69 (define @t21 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2 @t10) @t14)))) % 0.38/0.69 (define @t22 () (@var "V_xs" $$unsorted)) % 0.38/0.69 (define @t23 () (tptp.c_List_Oappend @t22 @t4 @t1)) % 0.38/0.69 (define @t24 () (@var "V_ys" $$unsorted)) % 0.38/0.69 (define @t25 () (@var "V_us" $$unsorted)) % 0.38/0.69 (define @t26 () (@var "V_vs" $$unsorted)) % 0.38/0.69 (define @t27 () (tptp.hAPP @t3 @t10)) % 0.38/0.69 (define @t28 () (tptp.hAPP @t3 @t4)) % 0.38/0.69 (define @t29 () (tptp.c_Wellfounded_Oaccp @t2 @t10 @t1)) % 0.38/0.69 (define @t30 () (not @t29)) % 0.38/0.69 (define @t31 () (tptp.hAPP @t3 @t14)) % 0.38/0.69 (define @t32 () (not (tptp.hBOOL (tptp.hAPP @t31 @t10)))) % 0.38/0.69 (define @t33 () (tptp.c_Wellfounded_Oaccp @t2 @t14 @t1)) % 0.38/0.69 (define @t34 () (@list @t2 @t14 @t1 @t10)) % 0.38/0.69 (define @t35 () (tptp.hBOOL (tptp.hAPP @t28 @t5))) % 0.38/0.69 (define @t36 () (@var "V_z" $$unsorted)) % 0.38/0.69 (define @t37 () (@var "V_t" $$unsorted)) % 0.38/0.69 (define @t38 () (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t37)))) % 0.38/0.69 (define @t39 () (tptp.c_Predicate_Oconversep tptp.c_Lambda_Obeta tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.38/0.69 (define @t40 () (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t2))) % 0.38/0.69 (define @t41 () (@list @t2)) % 0.38/0.69 (define @t42 () (tptp.c_List_Oappend @t22 @t24 @t11)) % 0.38/0.69 (define @t43 () (@var "V_n" $$unsorted)) % 0.38/0.69 (define @t44 () (@var "V_m" $$unsorted)) % 0.38/0.69 (define @t45 () (= @t44 @t43)) % 0.38/0.69 (define @t46 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t43 @t1)) % 0.38/0.69 (define @t47 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t44 @t1)) % 0.38/0.69 (define @t48 () (@list @t1 @t44 @t43)) % 0.38/0.69 (define @t49 () (tptp.c_List_Olist_ONil @t1)) % 0.38/0.69 (define @t50 () (tptp.c_fequal @t1)) % 0.38/0.69 (define @t51 () (@list @t1)) % 0.38/0.69 (define @t52 () (@var "V_c" $$unsorted)) % 0.38/0.69 (define @t53 () (tptp.hBOOL (tptp.hAPP @t27 @t52))) % 0.38/0.69 (define @t54 () (@list @t2 @t1 @t10 @t52 @t14)) % 0.38/0.69 (define @t55 () (tptp.c_HOL_Ozero__class_Ozero @t1)) % 0.38/0.69 (define @t56 () (not (tptp.class_Ring__and__Field_Oordered__semidom @t1))) % 0.38/0.69 (define @t57 () (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) % 0.38/0.69 (define @t58 () (tptp.c_HOL_Oord__class_Oless @t44 @t43 tptp.tc_nat)) % 0.38/0.69 (define @t59 () (tptp.c_HOL_Oord__class_Oless @t47 @t46 @t1)) % 0.38/0.69 (define @t60 () (tptp.tc_List_Olist @t1)) % 0.38/0.69 (define @t61 () (tptp.c_Nat_Osize__class_Osize @t49 @t60)) % 0.38/0.69 (define @t62 () (= @t22 @t49)) % 0.38/0.69 (define @t63 () (tptp.c_Nat_Osize__class_Osize @t22 @t60)) % 0.38/0.69 (define @t64 () (@list @t22 @t1)) % 0.38/0.69 (define @t65 () (@var "V_s_H" $$unsorted)) % 0.38/0.69 (define @t66 () (@var "V_s" $$unsorted)) % 0.38/0.69 (define @t67 () (tptp.c_Transitive__Closure_Ortranclp tptp.c_Lambda_Obeta tptp.tc_Lambda_OdB)) % 0.38/0.69 (define @t68 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t67 @t66) @t65)))) % 0.38/0.69 (define @t69 () (@var "V_t_H" $$unsorted)) % 0.38/0.69 (define @t70 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t67 @t37) @t69)))) % 0.38/0.69 (define @t71 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t65)) % 0.38/0.69 (define @t72 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t66)) % 0.38/0.69 (define @t73 () (tptp.hAPP @t72 @t37)) % 0.38/0.69 (define @t74 () (tptp.hAPP @t67 @t73)) % 0.38/0.69 (define @t75 () (tptp.c_Lambda_OdB_OAbs @t66)) % 0.38/0.69 (define @t76 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t2) @t66)) % 0.38/0.69 (define @t77 () (tptp.c_List_Olist_ONil tptp.tc_Lambda_OdB)) % 0.38/0.69 (define @t78 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t2) @t66)))) % 0.38/0.69 (define @t79 () (@var "V_i" $$unsorted)) % 0.38/0.69 (define @t80 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t67 (tptp.c_Lambda_Osubst @t37 @t2 @t79)) (tptp.c_Lambda_Osubst @t37 @t66 @t79)))) % 0.38/0.69 (define @t81 () (@list @t37 @t2 @t79 @t66)) % 0.38/0.69 (define @t82 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t67 @t2) @t66)))) % 0.38/0.69 (define @t83 () (tptp.c_Lambda_Osubst @t66 @t37 @t79)) % 0.38/0.69 (define @t84 () (tptp.c_Lambda_Osubst @t2 @t37 @t79)) % 0.38/0.69 (define @t85 () (@list @t2 @t37 @t79 @t66)) % 0.38/0.69 (define @t86 () (@var "V_v" $$unsorted)) % 0.38/0.69 (define @t87 () (@var "V_rs" $$unsorted)) % 0.38/0.69 (define @t88 () (tptp.c_Lambda_OdB_OVar @t43)) % 0.38/0.69 (define @t89 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t88 @t87 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.38/0.69 (define @t90 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t89) @t86)))) % 0.38/0.69 (define @t91 () (tptp.c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1 @t43 @t87 @t86)) % 0.38/0.69 (define @t92 () (@var "V_T" $$unsorted)) % 0.38/0.69 (define @t93 () (@var "V_u" $$unsorted)) % 0.38/0.69 (define @t94 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t37)) % 0.38/0.69 (define @t95 () (tptp.hAPP @t94 @t93)) % 0.38/0.69 (define @t96 () (@var "V_e" $$unsorted)) % 0.38/0.69 (define @t97 () (tptp.c_Type_Otyping @t96)) % 0.38/0.69 (define @t98 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t97 @t95) @t92)))) % 0.38/0.69 (define @t99 () (tptp.c_Type_Osko__Type__Xtyping__elims__2__1 @t92 @t96 @t37 @t93)) % 0.38/0.69 (define @t100 () (tptp.hAPP @t97 @t93)) % 0.38/0.69 (define @t101 () (tptp.hAPP @t97 @t37)) % 0.38/0.69 (define @t102 () (not (tptp.hBOOL (tptp.hAPP @t101 @t92)))) % 0.38/0.69 (define @t103 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t97 @t69) @t92))) % 0.38/0.69 (define @t104 () (@list @t96 @t69 @t92 @t37)) % 0.38/0.69 (define @t105 () (@var "V_ts" $$unsorted)) % 0.38/0.69 (define @t106 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t97 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t37 @t105 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) @t92))) % 0.38/0.69 (define @t107 () (not @t106)) % 0.38/0.69 (define @t108 () (tptp.c_Type_Osko__Type__Xlist__app__typeD__1__1 @t92 @t96 @t37 @t105)) % 0.38/0.69 (define @t109 () (@list @t96 @t37 @t92 @t105)) % 0.38/0.69 (define @t110 () (tptp.c_Type_Osko__Type__Xlist__app__typeE__1__1 @t92 @t96 @t37 @t105)) % 0.38/0.69 (define @t111 () (tptp.c_Lambda_Olift @t66 @t79)) % 0.38/0.69 (define @t112 () (tptp.c_Lambda_Olift @t2 @t79)) % 0.38/0.69 (define @t113 () (@list @t2 @t79 @t66)) % 0.38/0.69 (define @t114 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t66) @t37)))) % 0.38/0.69 (define @t115 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t93)) % 0.38/0.69 (define @t116 () (@var "V_k" $$unsorted)) % 0.38/0.69 (define @t117 () (tptp.c_Lambda_Olift @t37 @t116)) % 0.38/0.69 (define @t118 () (tptp.c_Lambda_OdB_OVar @t79)) % 0.38/0.69 (define @t119 () (@list @t37 @t79)) % 0.38/0.69 (define @t120 () (tptp.c_List_Oappend @t49 @t49 @t1)) % 0.38/0.69 (define @t121 () (tptp.tc_fun @t1 tptp.tc_bool)) % 0.38/0.69 (define @t122 () (@var "V_B" $$unsorted)) % 0.38/0.69 (define @t123 () (@var "V_A" $$unsorted)) % 0.38/0.69 (define @t124 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t123 @t122 @t121)) % 0.38/0.69 (define @t125 () (tptp.hBOOL (tptp.hAPP @t124 @t4))) % 0.38/0.69 (define @t126 () (not @t125)) % 0.38/0.69 (define @t127 () (tptp.hBOOL (tptp.hAPP @t122 @t4))) % 0.38/0.69 (define @t128 () (tptp.hBOOL (tptp.hAPP @t123 @t4))) % 0.38/0.69 (define @t129 () (@var "V_ss" $$unsorted)) % 0.38/0.69 (define @t130 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t88 @t129 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.38/0.69 (define @t131 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t75) @t37)) % 0.38/0.69 (define @t132 () (tptp.c_Lambda_OdB_OAbs @t37)) % 0.38/0.69 (define @t133 () (@list @t66 @t37)) % 0.38/0.69 (define @t134 () (@var "V_nat" $$unsorted)) % 0.38/0.69 (define @t135 () (tptp.c_Lambda_OdB_OVar @t134)) % 0.38/0.69 (define @t136 () (@var "V_dB2_H" $$unsorted)) % 0.38/0.69 (define @t137 () (@var "V_dB1_H" $$unsorted)) % 0.38/0.69 (define @t138 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t137) @t136)) % 0.38/0.69 (define @t139 () (@var "V_Ts" $$unsorted)) % 0.38/0.69 (define @t140 () (not (tptp.c_Type_Otypings @t96 @t105 @t139))) % 0.38/0.69 (define @t141 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t118 @t105 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.38/0.69 (define @t142 () (tptp.hAPP @t97 @t141)) % 0.38/0.69 (define @t143 () (not (tptp.hBOOL (tptp.hAPP @t142 @t92)))) % 0.38/0.69 (define @t144 () (tptp.c_Type_Osko__Type__Xvar__app__typesE__1__1 @t92 @t96 @t79 @t105)) % 0.38/0.69 (define @t145 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t97 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t141 @t25 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) @t92)))) % 0.38/0.69 (define @t146 () (@var "V_U" $$unsorted)) % 0.38/0.69 (define @t147 () (not (tptp.hBOOL (tptp.hAPP @t142 @t146)))) % 0.38/0.69 (define @t148 () (tptp.c_Type_Osko__Type__Xvar__app__types__1__1 @t92 @t146 @t96 @t25)) % 0.38/0.69 (define @t149 () (@list @t96 @t105 @t92 @t37)) % 0.38/0.69 (define @t150 () (tptp.c_HOL_Oord__class_Oless @t55 @t46 @t1)) % 0.38/0.69 (define @t151 () (tptp.c_HOL_Oord__class_Oless @t57 @t43 tptp.tc_nat)) % 0.38/0.69 (define @t152 () (@list @t1 @t43)) % 0.38/0.69 (define @t153 () (tptp.c_Lambda_OdB_OVar @t44)) % 0.38/0.69 (define @t154 () (@list @t44)) % 0.38/0.69 (define @t155 () (= @t129 @t77)) % 0.38/0.69 (define @t156 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t66 @t129 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.38/0.69 (define @t157 () (not (= @t153 @t156))) % 0.38/0.69 (define @t158 () (@list @t44 @t66 @t129)) % 0.38/0.69 (define @t159 () (tptp.c_Lambda_OdB_OAbs @t2)) % 0.38/0.69 (define @t160 () (not (= @t159 @t156))) % 0.38/0.69 (define @t161 () (@list @t2 @t66 @t129)) % 0.38/0.69 (define @t162 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t159 @t77 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.38/0.69 (define @t163 () (not (= @t156 @t159))) % 0.38/0.69 (define @t164 () (@list @t66 @t129 @t2)) % 0.38/0.69 (define @t165 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t2 @t129 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.38/0.69 (define @t166 () (@list @t2 @t129 @t66)) % 0.38/0.69 (define @t167 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t159) @t66) @t129 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.38/0.69 (define @t168 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Osubst @t2 @t66 @t57) @t129 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.38/0.69 (define @t169 () (tptp.hAPP @t97 @t118)) % 0.38/0.69 (define @t170 () (not @t40)) % 0.38/0.69 (define @t171 () (= @t2 @t66)) % 0.38/0.69 (define @t172 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t4 @t5 @t1)) % 0.38/0.69 (define @t173 () (= @t172 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t5 @t4 @t1))) % 0.38/0.69 (define @t174 () (not (tptp.class_Lattices_Olattice @t1))) % 0.38/0.69 (define @t175 () (@list @t1 @t4 @t5)) % 0.38/0.69 (define @t176 () (not (tptp.class_Lattices_Olower__semilattice @t1))) % 0.38/0.69 (define @t177 () (@list @t123 @t122 @t1)) % 0.38/0.69 (define @t178 () (tptp.c_Lambda_OdB_OVar @t4)) % 0.38/0.69 (define @t179 () (tptp.c_HOL_Oord__class_Oless @t4 @t4 tptp.tc_nat)) % 0.38/0.69 (define @t180 () (@list @t43)) % 0.38/0.69 (define @t181 () (tptp.c_HOL_Oord__class_Oless @t5 @t4 @t1)) % 0.38/0.69 (define @t182 () (not @t181)) % 0.38/0.69 (define @t183 () (not (tptp.class_Orderings_Oorder @t1))) % 0.38/0.69 (define @t184 () (tptp.c_HOL_Oord__class_Oless @t4 @t5 @t1)) % 0.38/0.69 (define @t185 () (not @t184)) % 0.38/0.69 (define @t186 () (not (tptp.class_Orderings_Opreorder @t1))) % 0.38/0.69 (define @t187 () (@var "V_zs" $$unsorted)) % 0.38/0.69 (define @t188 () (= @t24 @t187)) % 0.38/0.69 (define @t189 () (tptp.c_List_Oappend @t22 @t24 @t1)) % 0.38/0.69 (define @t190 () (@list @t22 @t24 @t1 @t187)) % 0.38/0.69 (define @t191 () (tptp.c_List_Oappend @t22 @t49 @t1)) % 0.38/0.69 (define @t192 () (tptp.c_List_Oappend @t49 @t24 @t1)) % 0.38/0.69 (define @t193 () (@var "V_dB_H" $$unsorted)) % 0.38/0.69 (define @t194 () (tptp.c_Lambda_OdB_OAbs @t193)) % 0.38/0.69 (define @t195 () (tptp.c_Lambda_Olift @t37 @t79)) % 0.38/0.69 (define @t196 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t4 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t5 @t36 @t1) @t1)) % 0.38/0.69 (define @t197 () (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t172 @t36 @t1) @t196)) % 0.38/0.69 (define @t198 () (@list @t1 @t4 @t5 @t36)) % 0.38/0.69 (define @t199 () (= @t196 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t5 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t4 @t36 @t1) @t1))) % 0.38/0.69 (define @t200 () (@var "V_C" $$unsorted)) % 0.38/0.69 (define @t201 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t123 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t122 @t200 @t121) @t121)) % 0.38/0.69 (define @t202 () (not (= @t49 @t189))) % 0.38/0.69 (define @t203 () (@list @t1 @t22 @t24)) % 0.38/0.69 (define @t204 () (= @t24 @t49)) % 0.38/0.69 (define @t205 () (@var "V_dB" $$unsorted)) % 0.38/0.69 (define @t206 () (not (= @t189 @t49))) % 0.38/0.69 (define @t207 () (@list @t22 @t24 @t1)) % 0.38/0.69 (define @t208 () (not (tptp.c_HOL_Oord__class_Oless @t4 @t4 @t1))) % 0.38/0.69 (define @t209 () (@list @t1 @t4)) % 0.38/0.69 (define @t210 () (not (tptp.class_Orderings_Olinorder @t1))) % 0.38/0.69 (define @t211 () (= @t4 @t5)) % 0.38/0.69 (define @t212 () (@list @t1 @t5 @t4)) % 0.38/0.69 (define @t213 () (tptp.c_HOL_Oord__class_Oless @t43 @t44 tptp.tc_nat)) % 0.38/0.69 (define @t214 () (@var "V_P" $$unsorted)) % 0.38/0.69 (define @t215 () (@var "V_dB2" $$unsorted)) % 0.38/0.69 (define @t216 () (@var "V_dB1" $$unsorted)) % 0.38/0.69 (define @t217 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t216) @t215)) % 0.38/0.69 (define @t218 () (not (= @t217 @t138))) % 0.38/0.69 (define @t219 () (@list @t216 @t215 @t137 @t136)) % 0.38/0.69 (define @t220 () (tptp.c_HOL_Oord__class_Oless (tptp.c_Lattices_Olower__semilattice__class_Oinf @t10 @t14 @t1) @t4 @t1)) % 0.38/0.69 (define @t221 () (@list @t1 @t10 @t14 @t4)) % 0.38/0.69 (define @t222 () (= @t87 @t129)) % 0.38/0.69 (define @t223 () (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t159 @t87 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t75 @t129 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.38/0.69 (define @t224 () (@list @t2 @t87 @t66 @t129)) % 0.38/0.69 (define @t225 () (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t92) @t146)) % 0.38/0.69 (define @t226 () (@var "V_env" $$unsorted)) % 0.38/0.69 (define @t227 () (tptp.c_Type_Otyping @t226)) % 0.38/0.69 (define @t228 () (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t4 @t172 @t1) @t172)) % 0.38/0.69 (define @t229 () (@var "V_j" $$unsorted)) % 0.38/0.69 (define @t230 () (not (tptp.c_HOL_Oord__class_Oless @t229 @t79 tptp.tc_nat))) % 0.38/0.69 (define @t231 () (tptp.c_Lambda_OdB_OVar @t229)) % 0.38/0.69 (define @t232 () (@var "V_type2_H" $$unsorted)) % 0.38/0.69 (define @t233 () (@var "V_type2" $$unsorted)) % 0.38/0.69 (define @t234 () (@var "V_type1_H" $$unsorted)) % 0.38/0.69 (define @t235 () (@var "V_type1" $$unsorted)) % 0.38/0.69 (define @t236 () (not (= (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t235) @t233) (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t234) @t232)))) % 0.38/0.69 (define @t237 () (@list @t235 @t233 @t234 @t232)) % 0.38/0.69 (define @t238 () (@list @t123 @t1)) % 0.38/0.69 (define @t239 () (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t153 @t87 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) @t130))) % 0.38/0.69 (define @t240 () (@list @t44 @t87 @t43 @t129)) % 0.38/0.69 (define @t241 () (@var "V_nat_H" $$unsorted)) % 0.38/0.69 (define @t242 () (@var "V_xs1" $$unsorted)) % 0.38/0.69 (define @t243 () (not (tptp.c_HOL_Oord__class_Oless @t14 @t10 @t1))) % 0.38/0.69 (define @t244 () (not (tptp.c_HOL_Oord__class_Oless @t10 @t14 @t1))) % 0.38/0.69 (define @t245 () (tptp.tc_fun tptp.tc_Type_Otype tptp.tc_bool)) % 0.38/0.69 (define @t246 () (tptp.c_Ex tptp.tc_Type_Otype)) % 0.38/0.69 (define @t247 () (forall (@list @t96 @t105 @t139) (or (tptp.c_List_Olistsp (tptp.c_COMBB @t246 @t97 @t245 tptp.tc_bool tptp.tc_Lambda_OdB) @t105 tptp.tc_Lambda_OdB) @t140))) % 0.38/0.69 (define @t248 () (@var "T_c" $$unsorted)) % 0.38/0.69 (define @t249 () (@var "V_g" $$unsorted)) % 0.38/0.69 (define @t250 () (tptp.c_List_Olistsp @t123 @t22 @t1)) % 0.38/0.69 (define @t251 () (tptp.c_List_Olistsp @t123 @t24 @t1)) % 0.38/0.69 (define @t252 () (tptp.c_List_Olistsp @t123 @t189 @t1)) % 0.38/0.69 (define @t253 () (@var "V_l" $$unsorted)) % 0.38/0.69 (define @t254 () (@var "V_Ta" $$unsorted)) % 0.38/0.69 (define @t255 () (@var "V_T2" $$unsorted)) % 0.38/0.69 (define @t256 () (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t93)))) % 0.38/0.69 (define @t257 () (tptp.c_Lambda_Osubst @t37 @t93 @t79)) % 0.38/0.69 (define @t258 () (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t257))) % 0.38/0.69 (define @t259 () (@var "V_T1" $$unsorted)) % 0.38/0.69 (define @t260 () (not (= tptp.v_T____ (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t259) @t255)))) % 0.38/0.69 (define @t261 () (@list @t259 @t255 @t37 @t93 @t79 @t96 @t254)) % 0.38/0.69 (define @t262 () (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)) % 0.38/0.69 (define @t263 () (not @t252)) % 0.38/0.69 (define @t264 () (tptp.c_Type_Oshift tptp.v_e____ tptp.v_i____ tptp.v_T____ tptp.tc_Type_Otype)) % 0.38/0.69 (define @t265 () (tptp.c_Type_Otyping @t264)) % 0.38/0.69 (define @t266 () (@var "V_R" $$unsorted)) % 0.38/0.69 (define @t267 () (@var "V_Q" $$unsorted)) % 0.38/0.69 (define @t268 () (@var "V_e_H" $$unsorted)) % 0.38/0.69 (define @t269 () (tptp.c_Type_Otyping @t268)) % 0.38/0.69 (define @t270 () (tptp.c_Type_Otypings @t264 tptp.v_rs____ tptp.v_Ts____)) % 0.38/0.69 (define @t271 () (tptp.c_List_Olistsp (tptp.c_COMBB @t246 @t265 @t245 tptp.tc_bool tptp.tc_Lambda_OdB) tptp.v_rs____ tptp.tc_Lambda_OdB)) % 0.38/0.69 (define @t272 () (@var "T_1" $$unsorted)) % 0.38/0.69 (define @t273 () (not (tptp.class_Lattices_Olattice @t272))) % 0.38/0.69 (define @t274 () (@var "T_2" $$unsorted)) % 0.38/0.69 (define @t275 () (tptp.tc_fun @t274 @t272)) % 0.38/0.69 (define @t276 () (@list @t274 @t272)) % 0.38/0.69 (define @t277 () (@var "V_Y" $$unsorted)) % 0.38/0.69 (define @t278 () (@var "V_X" $$unsorted)) % 0.38/0.69 (define @t279 () (not @t270)) % 0.38/0.69 (define @t280 () (or @t271 @t279)) % 0.38/0.69 (define @t281 () (not @t280)) % 0.38/0.69 (define @t282 () (@list true false)) % 0.38/0.69 (assume @p1 (forall (@list @t2 @t1) (= (tptp.c_Transitive__Closure_Ortranclp @t3 @t1) @t3))) % 0.38/0.69 (assume @p2 (forall @t9 (or @t8 (not @t7)))) % 0.38/0.69 (assume @p3 (forall (@list @t2 @t1 @t5 @t4) (or @t7 (not @t8)))) % 0.38/0.69 (assume @p4 (forall (@list @t13 @t11 @t10 @t1) (= (tptp.c_List_Ofoldr @t13 @t12 @t10 @t11 @t1) @t10))) % 0.38/0.69 (assume @p5 (forall (@list @t2 @t14 @t10 @t1 @t11) (or @t18 (not @t16)))) % 0.38/0.69 (assume @p6 (forall (@list @t2 @t1 @t11 @t10 @t14) (or @t16 (not @t18)))) % 0.38/0.69 (assume @p7 (forall (@list @t2 @t19 @t20 @t1 @t11) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2 @t19) @t20)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t15 @t20) @t19)))))) % 0.38/0.69 (assume @p8 (forall (@list @t2 @t1 @t11 @t14 @t10) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t15 @t14) @t10)) @t21))) % 0.38/0.69 (assume @p9 (forall (@list @t2 @t24 @t22 @t1 @t4) (or (not (tptp.c_ListOrder_Ostep1 @t2 @t24 @t22 @t1)) (tptp.c_ListOrder_Ostep1 @t2 (tptp.c_List_Oappend @t24 @t4 @t1) @t23 @t1)))) % 0.38/0.69 (assume @p10 (forall (@list @t2 @t4 @t26 @t1 @t25) (or (tptp.c_ListOrder_Ostep1 @t2 (tptp.c_List_Oappend @t4 @t26 @t1) (tptp.c_List_Oappend @t4 @t25 @t1) @t1) (not (tptp.c_ListOrder_Ostep1 @t2 @t26 @t25 @t1))))) % 0.38/0.69 (assume @p11 (forall (@list @t2 @t1 @t10) (tptp.hBOOL (tptp.hAPP @t27 @t10)))) % 0.38/0.69 (assume @p12 (forall (@list @t2 @t1 @t4) (tptp.hBOOL (tptp.hAPP @t28 @t4)))) % 0.38/0.69 (assume @p13 (forall @t34 (or @t33 @t32 @t30))) % 0.38/0.69 (assume @p14 (forall @t34 (or @t33 @t30 @t32))) % 0.38/0.69 (assume @p15 (forall (@list @t2 @t1 @t4 @t36 @t5) (or (tptp.hBOOL (tptp.hAPP @t28 @t36)) (not (tptp.hBOOL (tptp.hAPP @t6 @t36))) (not @t35)))) % 0.38/0.69 (assume @p16 (forall (@list @t37) (or (tptp.c_Wellfounded_Oaccp @t39 @t37 tptp.tc_Lambda_OdB) @t38))) % 0.38/0.69 (assume @p17 (forall @t41 (or @t40 (not (tptp.c_Wellfounded_Oaccp @t39 @t2 tptp.tc_Lambda_OdB))))) % 0.38/0.69 (assume @p18 (forall (@list @t13 @t22 @t24 @t11 @t10 @t1) (= (tptp.c_List_Ofoldr @t13 @t42 @t10 @t11 @t1) (tptp.c_List_Ofoldr @t13 @t22 (tptp.c_List_Ofoldr @t13 @t24 @t10 @t11 @t1) @t11 @t1)))) % 0.38/0.69 (assume @p19 (forall @t48 (or (not (tptp.class_Nat_Osemiring__char__0 @t1)) (not (= @t47 @t46)) @t45))) % 0.38/0.69 (assume @p20 (forall @t9 (or @t35 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2 @t4) @t5)))))) % 0.38/0.69 (assume @p21 (forall (@list @t2 @t1 @t22) (not (tptp.c_ListOrder_Ostep1 @t2 @t49 @t22 @t1)))) % 0.38/0.69 (assume @p22 (forall (@list @t2 @t22 @t1) (not (tptp.c_ListOrder_Ostep1 @t2 @t22 @t49 @t1)))) % 0.38/0.69 (assume @p23 (forall @t51 (= (tptp.c_Predicate_Oconversep @t50 @t1 @t1) @t50))) % 0.38/0.69 (assume @p24 (forall (@list @t2 @t1 @t11) (= (tptp.c_Predicate_Oconversep @t15 @t11 @t1) @t2))) % 0.38/0.69 (assume @p25 (forall @t54 (or @t53 (not (tptp.hBOOL (tptp.hAPP @t31 @t52))) @t21))) % 0.38/0.69 (assume @p26 (forall @t54 (or @t53 (not (tptp.hBOOL (tptp.hAPP @t17 @t52))) (not (tptp.hBOOL (tptp.hAPP @t27 @t14)))))) % 0.38/0.69 (assume @p27 (forall (@list @t2 @t5 @t1 @t10) (or (tptp.c_Wellfounded_Oaccp @t2 @t5 @t1) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t2 @t5) @t10))) @t30))) % 0.38/0.69 (assume @p28 (forall (@list @t2 @t10 @t1 @t14) (or @t29 @t21 (not @t33)))) % 0.38/0.69 (assume @p29 (forall (@list @t1 @t44) (or @t56 (not (tptp.c_HOL_Oord__class_Oless @t47 @t55 @t1))))) % 0.38/0.69 (assume @p30 (forall @t51 (or (not (tptp.class_Ring__and__Field_Osemiring__1 @t1)) (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t57 @t1) @t55)))) % 0.38/0.69 (assume @p31 (forall @t48 (or @t56 @t59 (not @t58)))) % 0.38/0.69 (assume @p32 (forall @t48 (or @t56 @t58 (not @t59)))) % 0.38/0.69 (assume @p33 (forall @t51 (= @t61 @t57))) % 0.38/0.69 (assume @p34 (forall @t64 (or (not (= @t63 @t57)) @t62))) % 0.38/0.69 (assume @p35 (forall (@list @t66 @t37 @t65 @t69) (or (tptp.hBOOL (tptp.hAPP @t74 (tptp.hAPP @t71 @t69))) @t70 @t68))) % 0.38/0.69 (assume @p36 (forall (@list @t66 @t37 @t65) (or (tptp.hBOOL (tptp.hAPP @t74 (tptp.hAPP @t71 @t37))) @t68))) % 0.38/0.69 (assume @p37 (forall (@list @t66 @t37 @t69) (or (tptp.hBOOL (tptp.hAPP @t74 (tptp.hAPP @t72 @t69))) @t70))) % 0.38/0.69 (assume @p38 (forall (@list @t66 @t65) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t67 @t75) (tptp.c_Lambda_OdB_OAbs @t65))) @t68))) % 0.38/0.69 (assume @p39 (forall (@list @t2 @t66 @t37) (or (not (= @t76 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t37 @t77 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) (= @t76 @t37)))) % 0.38/0.69 (assume @p40 (forall (@list @t2 @t66) (= @t76 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t76 @t77 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.38/0.69 (assume @p41 (forall @t81 (or @t80 @t78))) % 0.38/0.69 (assume @p42 (forall @t85 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t67 @t84) @t83)) @t82))) % 0.38/0.69 (assume @p43 (forall @t81 (or @t80 @t82))) % 0.38/0.69 (assume @p44 (forall (@list @t87 @t43 @t86) (or (tptp.c_ListOrder_Ostep1 tptp.c_Lambda_Obeta @t87 @t91 tptp.tc_Lambda_OdB) @t90))) % 0.38/0.69 (assume @p45 (forall (@list @t96 @t93 @t92 @t37) (or (tptp.hBOOL (tptp.hAPP @t100 @t99)) @t98))) % 0.38/0.69 (assume @p46 (forall @t104 (or @t103 @t102 @t70))) % 0.38/0.69 (assume @p47 (forall @t109 (or (tptp.hBOOL (tptp.hAPP @t101 (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun @t108 @t92 tptp.tc_Type_Otype tptp.tc_Type_Otype))) @t107))) % 0.38/0.69 (assume @p48 (forall @t109 (or (tptp.hBOOL (tptp.hAPP @t101 (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun @t110 @t92 tptp.tc_Type_Otype tptp.tc_Type_Otype))) @t107))) % 0.38/0.69 (assume @p49 (forall @t113 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t67 @t112) @t111)) @t82))) % 0.38/0.69 (assume @p50 (forall (@list @t93 @t66 @t37) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta (tptp.hAPP @t115 @t66)) (tptp.hAPP @t115 @t37))) @t114))) % 0.38/0.69 (assume @p51 (forall (@list @t66 @t93 @t37) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta (tptp.hAPP @t72 @t93)) @t95)) @t114))) % 0.38/0.69 (assume @p52 (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT tptp.v_u____))) % 0.38/0.69 (assume @p53 (forall (@list @t37 @t116 @t66) (= (tptp.c_Lambda_Osubst @t117 @t66 @t116) @t37))) % 0.38/0.69 (assume @p54 (forall (@list @t79 @t116) (or (= (tptp.c_Lambda_Olift @t118 @t116) @t118) (not (tptp.c_HOL_Oord__class_Oless @t79 @t116 tptp.tc_nat))))) % 0.38/0.69 (assume @p55 (forall @t113 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t112) @t111)) @t78))) % 0.38/0.69 (assume @p56 (forall @t119 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.hAPP @t94 @t118))) @t38))) % 0.38/0.69 (assume @p57 (forall @t51 (= @t49 @t120))) % 0.38/0.69 (assume @p58 (forall (@list @t122 @t4 @t123 @t1) (or @t127 @t126))) % 0.38/0.69 (assume @p59 (forall (@list @t123 @t4 @t122 @t1) (or @t128 @t126))) % 0.38/0.69 (assume @p60 (forall (@list @t66 @t37 @t43 @t129) (not (= @t131 @t130)))) % 0.38/0.69 (assume @p61 (forall @t133 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t75) @t132)) @t114))) % 0.38/0.69 (assume @p62 (forall (@list @t13 @t10 @t22 @t24 @t11 @t1) (= (tptp.c_List_Ofoldl @t13 @t10 @t42 @t1 @t11) (tptp.c_List_Ofoldl @t13 (tptp.c_List_Ofoldl @t13 @t10 @t22 @t1 @t11) @t24 @t1 @t11)))) % 0.38/0.69 (assume @p63 (forall (@list @t137 @t136 @t134) (not (= @t138 @t135)))) % 0.38/0.69 (assume @p64 (forall (@list @t96 @t37 @t105 @t92 @t139) (or @t106 @t140 (not (tptp.hBOOL (tptp.hAPP @t101 (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun @t139 @t92 tptp.tc_Type_Otype tptp.tc_Type_Otype))))))) % 0.38/0.69 (assume @p65 (forall (@list @t96 @t105 @t92 @t79) (or (tptp.c_Type_Otypings @t96 @t105 @t144) @t143))) % 0.38/0.69 (assume @p66 (forall (@list @t96 @t25 @t92 @t146 @t79 @t105 @t139) (or (tptp.c_Type_Otypings @t96 @t25 @t148) @t147 @t140 @t145))) % 0.38/0.69 (assume @p67 (forall @t149 (or (tptp.c_Type_Otypings @t96 @t105 @t108) @t107))) % 0.38/0.69 (assume @p68 (forall @t149 (or (tptp.c_Type_Otypings @t96 @t105 @t110) @t107))) % 0.38/0.69 (assume @p69 (forall (@list @t86 @t43 @t87) (or (= @t86 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t88 @t91 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) @t90))) % 0.38/0.69 (assume @p70 (forall @t152 (or @t56 @t151 (not @t150)))) % 0.38/0.69 (assume @p71 (forall @t152 (or @t56 @t150 (not @t151)))) % 0.38/0.69 (assume @p72 (forall (@list @t146 @t92 @t96 @t25 @t79 @t105 @t139) (or (= @t146 (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun @t148 @t92 tptp.tc_Type_Otype tptp.tc_Type_Otype)) @t147 @t140 @t145))) % 0.38/0.69 (assume @p73 (forall (@list @t96 @t37 @t92 @t93) (or (tptp.hBOOL (tptp.hAPP @t101 (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t99) @t92))) @t98))) % 0.38/0.69 (assume @p74 (forall @t154 (= @t153 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t153 @t77 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.38/0.69 (assume @p75 (forall @t158 (or @t157 @t155))) % 0.38/0.69 (assume @p76 (forall @t161 (or @t160 @t155))) % 0.38/0.69 (assume @p77 (forall @t41 (= @t159 @t162))) % 0.38/0.69 (assume @p78 (forall @t164 (or @t163 @t155))) % 0.38/0.69 (assume @p79 (forall @t41 (= @t162 @t159))) % 0.38/0.69 (assume @p80 (forall @t166 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t67 @t165) @t156)) @t82))) % 0.38/0.69 (assume @p81 (forall (@list @t2 @t87 @t129) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t2 @t87 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) @t165)) (not (tptp.c_ListOrder_Ostep1 tptp.c_Lambda_Obeta @t87 @t129 tptp.tc_Lambda_OdB))))) % 0.38/0.69 (assume @p82 (forall @t161 (or (not (tptp.c_Wellfounded_Oaccp @t39 @t168 tptp.tc_Lambda_OdB)) (not (tptp.c_Wellfounded_Oaccp @t39 @t66 tptp.tc_Lambda_OdB)) (tptp.c_Wellfounded_Oaccp @t39 @t167 tptp.tc_Lambda_OdB)))) % 0.38/0.69 (assume @p83 (forall @t64 (or (tptp.c_HOL_Oord__class_Oless @t57 @t63 tptp.tc_nat) @t62))) % 0.38/0.69 (assume @p84 (forall @t51 (not (tptp.c_HOL_Oord__class_Oless @t57 @t61 tptp.tc_nat)))) % 0.38/0.69 (assume @p85 (forall (@list @t96 @t79 @t92 @t105) (or (tptp.hBOOL (tptp.hAPP @t169 (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun @t144 @t92 tptp.tc_Type_Otype tptp.tc_Type_Otype))) @t143))) % 0.38/0.69 (assume @p86 (forall @t41 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t159)) @t170))) % 0.38/0.69 (assume @p87 (forall (@list @t2 @t105 @t66) (or (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t2 @t105 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t66 @t105 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) @t171))) % 0.38/0.69 (assume @p88 (forall @t161 (or @t160 (= @t159 @t66)))) % 0.38/0.69 (assume @p89 (forall @t175 (or @t174 @t173))) % 0.38/0.69 (assume @p90 (forall @t175 (or @t176 @t173))) % 0.38/0.69 (assume @p91 (forall @t177 (= @t124 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t122 @t123 @t121)))) % 0.38/0.69 (assume @p92 (forall (@list @t4 @t66) (or @t179 (= (tptp.c_Lambda_Osubst @t178 @t66 @t4) @t66)))) % 0.38/0.69 (assume @p93 (forall @t180 (not (tptp.c_HOL_Oord__class_Oless @t43 @t57 tptp.tc_nat)))) % 0.38/0.69 (assume @p94 (forall @t154 (not (tptp.c_HOL_Oord__class_Oless @t44 @t57 tptp.tc_nat)))) % 0.38/0.69 (assume @p95 (forall (@list @t1 @t36 @t4 @t5) (or @t183 (tptp.c_HOL_Oord__class_Oless @t36 @t4 @t1) (not (tptp.c_HOL_Oord__class_Oless @t36 @t5 @t1)) @t182))) % 0.38/0.69 (assume @p96 (forall (@list @t1 @t4 @t36 @t5) (or @t186 (tptp.c_HOL_Oord__class_Oless @t4 @t36 @t1) (not (tptp.c_HOL_Oord__class_Oless @t5 @t36 @t1)) @t185))) % 0.38/0.69 (assume @p97 (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT tptp.v_ua______))) % 0.38/0.69 (assume @p98 (forall (@list @t79 @t66 @t116) (or (= (tptp.c_Lambda_Osubst @t118 @t66 @t116) @t118) (= @t79 @t116) (tptp.c_HOL_Oord__class_Oless @t116 @t79 tptp.tc_nat)))) % 0.38/0.69 (assume @p99 (forall @t85 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t84) @t83)) @t78))) % 0.38/0.69 (assume @p100 (forall (@list @t24 @t22 @t1 @t187) (or (not (= (tptp.c_List_Oappend @t24 @t22 @t1) (tptp.c_List_Oappend @t187 @t22 @t1))) @t188))) % 0.38/0.69 (assume @p101 (forall @t190 (or (not (= @t189 (tptp.c_List_Oappend @t22 @t187 @t1))) @t188))) % 0.38/0.69 (assume @p102 (forall @t64 (= @t191 @t22))) % 0.38/0.69 (assume @p103 (forall (@list @t4 @t1) (= @t4 (tptp.c_List_Oappend @t49 @t4 @t1)))) % 0.38/0.69 (assume @p104 (forall @t64 (= @t22 @t191))) % 0.38/0.69 (assume @p105 (forall (@list @t1 @t24) (= @t192 @t24))) % 0.38/0.69 (assume @p106 (forall (@list @t24 @t1) (= @t24 @t192))) % 0.38/0.69 (assume @p107 (forall (@list @t66 @t37 @t116) (= (tptp.c_Lambda_Olift @t73 @t116) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Olift @t66 @t116)) @t117)))) % 0.38/0.69 (assume @p108 (forall @t180 (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t88)))) % 0.38/0.69 (assume @p109 (forall (@list @t134 @t193) (not (= @t135 @t194)))) % 0.38/0.69 (assume @p110 (forall @t161 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t167)) (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t66))) (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t168)))))) % 0.38/0.69 (assume @p111 (forall (@list @t13 @t10 @t11 @t1) (= (tptp.c_List_Ofoldl @t13 @t10 @t12 @t1 @t11) @t10))) % 0.38/0.69 (assume @p112 (forall @t119 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t195)) @t38))) % 0.38/0.69 (assume @p113 (forall (@list @t43 @t105 @t2 @t129) (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t88 @t105 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t159 @t129 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))))) % 0.38/0.69 (assume @p114 (forall @t198 (or @t174 @t197))) % 0.38/0.69 (assume @p115 (forall @t198 (or @t174 @t199))) % 0.38/0.69 (assume @p116 (forall @t198 (or @t176 @t199))) % 0.38/0.69 (assume @p117 (forall @t198 (or @t176 @t197))) % 0.38/0.69 (assume @p118 (forall (@list @t123 @t122 @t1 @t200) (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t124 @t200 @t121) @t201))) % 0.38/0.69 (assume @p119 (forall (@list @t123 @t122 @t200 @t1) (= @t201 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t122 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t123 @t200 @t121) @t121)))) % 0.38/0.69 (assume @p120 (forall @t203 (or @t202 @t62))) % 0.38/0.69 (assume @p121 (forall @t203 (or @t202 @t204))) % 0.38/0.69 (assume @p122 (forall (@list @t205 @t193) (or (not (= (tptp.c_Lambda_OdB_OAbs @t205) @t194)) (= @t205 @t193)))) % 0.38/0.69 (assume @p123 (forall @t207 (or @t206 @t62))) % 0.38/0.69 (assume @p124 (forall @t207 (or @t206 @t204))) % 0.38/0.69 (assume @p125 (forall (@list @t134 @t137 @t136) (not (= @t135 @t138)))) % 0.38/0.69 (assume @p126 (forall @t158 (or @t157 (= @t153 @t66)))) % 0.38/0.69 (assume @p127 (forall @t166 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t165) @t156)) @t78))) % 0.38/0.69 (assume @p128 (forall (@list @t4) (not @t179))) % 0.38/0.69 (assume @p129 (forall @t180 (not (tptp.c_HOL_Oord__class_Oless @t43 @t43 tptp.tc_nat)))) % 0.38/0.69 (assume @p130 (forall @t209 (or @t183 @t208))) % 0.38/0.69 (assume @p131 (forall @t209 (or @t210 @t208))) % 0.38/0.69 (assume @p132 (forall @t209 (or @t186 @t208))) % 0.38/0.69 (assume @p133 (forall @t133 (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t131) (tptp.c_Lambda_Osubst @t66 @t37 @t57))))) % 0.38/0.69 (assume @p134 (forall @t212 (or (not (tptp.class_Ring__and__Field_Oordered__idom @t1)) @t181 @t184 @t211))) % 0.38/0.69 (assume @p135 (forall @t175 (or @t210 @t211 @t181 @t184))) % 0.38/0.69 (assume @p136 (forall (@list @t43 @t44) (or @t213 @t58 @t45))) % 0.38/0.69 (assume @p137 (forall (@list @t214 @t43 @t44) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t214 @t43) @t44)) @t213 @t45 @t58))) % 0.38/0.69 (assume @p138 (forall (@list @t92 @t146 @t96 @t79 @t105) (or (= @t92 @t146) @t147 @t143))) % 0.38/0.69 (assume @p139 (forall (@list @t5 @t4) (or (tptp.c_HOL_Oord__class_Oless @t5 @t4 tptp.tc_nat) (tptp.c_HOL_Oord__class_Oless @t4 @t5 tptp.tc_nat) @t211))) % 0.38/0.69 (assume @p140 (forall @t212 (or @t210 @t181 @t184 @t211))) % 0.38/0.69 (assume @p141 (forall @t212 (or @t210 @t181 @t211 @t184))) % 0.38/0.69 (assume @p142 (forall @t175 (or @t210 @t211 @t184 @t181))) % 0.38/0.69 (assume @p143 (forall @t219 (or @t218 (= @t215 @t136)))) % 0.38/0.69 (assume @p144 (forall @t219 (or @t218 (= @t216 @t137)))) % 0.38/0.69 (assume @p145 (forall (@list @t43 @t87) (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t89)) (not (tptp.c_List_Olistsp tptp.c_InductTermi_OIT @t87 tptp.tc_Lambda_OdB))))) % 0.38/0.69 (assume @p146 (forall @t221 (or @t176 @t220 (not (tptp.c_HOL_Oord__class_Oless @t14 @t4 @t1))))) % 0.38/0.69 (assume @p147 (forall @t221 (or @t176 @t220 (not (tptp.c_HOL_Oord__class_Oless @t10 @t4 @t1))))) % 0.38/0.69 (assume @p148 (forall @t224 (or @t223 @t222))) % 0.38/0.69 (assume @p149 (forall @t224 (or @t223 @t171))) % 0.38/0.69 (assume @p150 (forall @t164 (or @t163 (= @t66 @t159)))) % 0.38/0.69 (assume @p151 (forall (@list @t226 @t66 @t37 @t146 @t92) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t227 @t73) @t146)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t227 @t37) @t92))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t227 @t66) @t225)))))) % 0.38/0.69 (assume @p152 (forall (@list @t79 @t37) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t118) @t37))))) % 0.38/0.69 (assume @p153 (forall @t180 (or @t151 (= @t43 @t57)))) % 0.38/0.69 (assume @p154 (not (tptp.c_HOL_Oord__class_Oless @t57 @t57 tptp.tc_nat))) % 0.38/0.69 (assume @p155 (forall @t175 (or @t174 @t228))) % 0.38/0.69 (assume @p156 (forall @t175 (or @t176 @t228))) % 0.38/0.69 (assume @p157 (forall @t177 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t123 @t124 @t121) @t124))) % 0.38/0.69 (assume @p158 (forall (@list @t229 @t93 @t79) (or (= (tptp.c_Lambda_Osubst @t231 @t93 @t79) @t231) @t230))) % 0.38/0.69 (assume @p159 (forall (@list @t2 @t79 @t229) (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst @t2 @t118 @t229))) @t170))) % 0.38/0.69 (assume @p160 (forall @t207 (or (not (= @t189 @t22)) @t204))) % 0.38/0.69 (assume @p161 (forall @t207 (or (not (= @t22 @t189)) @t204))) % 0.38/0.69 (assume @p162 (forall @t207 (or (not (= @t189 @t24)) @t62))) % 0.38/0.69 (assume @p163 (forall (@list @t24 @t22 @t1) (or (not (= @t24 @t189)) @t62))) % 0.38/0.69 (assume @p164 (forall @t237 (or @t236 (= @t233 @t232)))) % 0.38/0.69 (assume @p165 (forall @t237 (or @t236 (= @t235 @t234)))) % 0.38/0.69 (assume @p166 (forall @t209 (or @t176 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t4 @t4 @t1) @t4)))) % 0.38/0.69 (assume @p167 (forall @t238 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t123 @t123 @t121) @t123))) % 0.38/0.69 (assume @p168 (forall (@list @t116 @t93) (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OVar @t116) @t93 @t116) @t93))) % 0.38/0.69 (assume @p169 (forall @t240 (or @t239 @t222))) % 0.38/0.69 (assume @p170 (forall @t240 (or @t239 @t45))) % 0.38/0.69 (assume @p171 (forall (@list @t193 @t216 @t215) (not (= @t194 @t217)))) % 0.38/0.69 (assume @p172 (forall (@list @t134 @t241) (or (not (= @t135 (tptp.c_Lambda_OdB_OVar @t241))) (= @t134 @t241)))) % 0.38/0.69 (assume @p173 (forall (@list @t216 @t215 @t193) (not (= @t217 @t194)))) % 0.38/0.69 (assume @p174 (forall (@list @t193 @t134) (not (= @t194 @t135)))) % 0.38/0.69 (assume @p175 (forall (@list @t37 @t93 @t66 @t116) (= (tptp.c_Lambda_Osubst @t95 @t66 @t116) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Osubst @t37 @t66 @t116)) (tptp.c_Lambda_Osubst @t93 @t66 @t116))))) % 0.38/0.69 (assume @p176 (forall (@list @t123 @t122 @t1 @t4) (or @t125 (not @t127) (not @t128)))) % 0.38/0.69 (assume @p177 (forall @t51 (= @t120 @t49))) % 0.38/0.69 (assume @p178 (forall @t190 (= (tptp.c_List_Oappend @t189 @t187 @t1) (tptp.c_List_Oappend @t22 (tptp.c_List_Oappend @t24 @t187 @t1) @t1)))) % 0.38/0.69 (assume @p179 (forall (@list @t22 @t242 @t25 @t1) (= (tptp.c_List_Oappend @t22 (tptp.c_List_Oappend @t242 @t25 @t1) @t1) (tptp.c_List_Oappend (tptp.c_List_Oappend @t22 @t242 @t1) @t25 @t1)))) % 0.38/0.69 (assume @p180 (forall (@list @t187 @t4 @t1 @t24) (= (tptp.c_List_Oappend (tptp.c_List_Oappend @t187 @t4 @t1) @t24 @t1) (tptp.c_List_Oappend @t187 (tptp.c_List_Oappend @t4 @t24 @t1) @t1)))) % 0.38/0.69 (assume @p181 (forall (@list @t22 @t4 @t105 @t1) (= (tptp.c_List_Oappend @t22 (tptp.c_List_Oappend @t4 @t105 @t1) @t1) (tptp.c_List_Oappend @t23 @t105 @t1)))) % 0.38/0.69 (assume @p182 (forall (@list @t1 @t10 @t14) (or @t183 @t244 @t243))) % 0.38/0.69 (assume @p183 (forall @t175 (or @t210 @t185 @t182))) % 0.38/0.69 (assume @p184 (forall @t212 (or @t186 @t182 @t185))) % 0.38/0.69 (assume @p185 (forall (@list @t1 @t14 @t10) (or @t186 @t243 @t244))) % 0.38/0.69 (assume @p186 (forall (@list @t96 @t79 @t146 @t37 @t92) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t96 @t79 @t146 tptp.tc_Type_Otype)) @t195) @t92)) @t102))) % 0.38/0.69 (assume @p187 (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Type_Otyping tptp.v_e____) tptp.v_u____) tptp.v_T____))) % 0.38/0.69 (assume @p188 (forall @t104 (or @t103 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t37) @t69))) @t102))) % 0.38/0.69 (assume @p189 @t247) % 0.38/0.69 (assume @p190 (forall (@list @t13 @t249 @t123 @t248 @t11 @t1) (= (tptp.c_Set_Oimage @t13 (tptp.c_Set_Oimage @t249 @t123 @t248 @t11) @t11 @t1) (tptp.c_Set_Oimage (tptp.c_COMBB @t13 @t249 @t11 @t1 @t248) @t123 @t248 @t1)))) % 0.38/0.69 (assume @p191 (forall (@list @t96 @t79 @t92 @t1 @t229) (or (= (tptp.hAPP (tptp.c_Type_Oshift @t96 @t79 @t92 @t1) @t229) (tptp.hAPP @t96 @t229)) @t230))) % 0.38/0.69 (assume @p192 (forall (@list @t123 @t22 @t24 @t1) (or @t252 (not @t251) (not @t250)))) % 0.38/0.69 (assume @p193 (forall (@list @t123 @t22 @t1) (or @t250 (not (tptp.hBOOL (tptp.hAPP @t123 (tptp.c_List_Osko__List__Xin__listsp__conv__set__1__1 @t123 @t22 @t1))))))) % 0.38/0.69 (assume @p194 (forall (@list @t123 @t122 @t1 @t253) (or (tptp.c_List_Olistsp @t124 @t253 @t1) (not (tptp.c_List_Olistsp @t122 @t253 @t1)) (not (tptp.c_List_Olistsp @t123 @t253 @t1))))) % 0.38/0.69 (assume @p195 (forall @t261 (or @t260 @t258 (not (tptp.hBOOL (tptp.hAPP @t100 @t255))) @t256 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t96 @t79 @t255 tptp.tc_Type_Otype)) @t37) @t254))) @t38))) % 0.38/0.69 (assume @p196 (forall @t261 (or @t260 @t258 (not (tptp.hBOOL (tptp.hAPP @t100 @t259))) @t256 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t96 @t79 @t259 tptp.tc_Type_Otype)) @t37) @t254))) @t38))) % 0.38/0.69 (assume @p197 (forall (@list @t96 @t4 @t92 @t1) (= (tptp.hAPP (tptp.c_Type_Oshift @t96 @t4 @t92 @t1) @t4) @t92))) % 0.38/0.69 (assume @p198 (forall (@list @t226 @t37 @t92 @t146) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t227 @t132) @t225)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t226 @t57 @t92 tptp.tc_Type_Otype)) @t37) @t146)))))) % 0.38/0.69 (assume @p199 (forall (@list @t96 @t79 @t92) (or (= (tptp.hAPP @t96 @t79) @t92) (not (tptp.hBOOL (tptp.hAPP @t169 @t92)))))) % 0.38/0.69 (assume @p200 (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Type_Otyping (tptp.c_Type_Oshift tptp.v_ea______ tptp.v_ia______ tptp.v_T____ tptp.tc_Type_Otype)) @t262) tptp.v_T_Ha______))) % 0.38/0.69 (assume @p201 (not (= tptp.v_n____ tptp.v_i____))) % 0.38/0.69 (assume @p202 (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Type_Otyping tptp.v_ea______) tptp.v_ua______) tptp.v_T____))) % 0.38/0.69 (assume @p203 (forall @t238 (tptp.c_List_Olistsp @t123 @t49 @t1))) % 0.38/0.69 (assume @p204 (forall (@list @t123 @t24 @t1 @t22) (or @t251 @t263))) % 0.38/0.69 (assume @p205 (forall (@list @t123 @t22 @t1 @t24) (or @t250 @t263))) % 0.38/0.69 (assume @p206 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t265 @t262) tptp.v_T_H____))) % 0.38/0.69 (assume @p207 (forall (@list @t214 @t267 @t11 @t1 @t248 @t266) (= (tptp.hAPP (tptp.c_COMBB @t214 @t267 @t11 @t1 @t248) @t266) (tptp.hAPP @t214 (tptp.hAPP @t267 @t266))))) % 0.38/0.69 (assume @p208 (forall (@list @t226 @t4) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t227 @t178) (tptp.hAPP @t226 @t4))))) % 0.38/0.69 (assume @p209 (forall (@list @t268 @t93 @t146 @t79 @t37 @t92) (or (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t269 @t93) @t146))) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t268 @t79 @t146 tptp.tc_Type_Otype)) @t37) @t92))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t269 @t257) @t92))))) % 0.38/0.69 (assume @p210 @t270) % 0.38/0.69 (assume @p211 (not @t271)) % 0.38/0.69 (assume @p212 (forall @t276 (or (tptp.class_Lattices_Olower__semilattice @t275) @t273))) % 0.38/0.69 (assume @p213 (forall @t276 (or (tptp.class_Orderings_Opreorder @t275) (not (tptp.class_Orderings_Opreorder @t272))))) % 0.38/0.69 (assume @p214 (forall @t276 (or (tptp.class_Lattices_Olattice @t275) @t273))) % 0.38/0.69 (assume @p215 (forall @t276 (or (tptp.class_Orderings_Oorder @t275) (not (tptp.class_Orderings_Oorder @t272))))) % 0.38/0.69 (assume @p216 (tptp.class_Ring__and__Field_Oordered__semidom tptp.tc_nat)) % 0.38/0.69 (assume @p217 (tptp.class_Lattices_Olower__semilattice tptp.tc_nat)) % 0.38/0.69 (assume @p218 (tptp.class_Ring__and__Field_Osemiring__1 tptp.tc_nat)) % 0.38/0.69 (assume @p219 (tptp.class_Nat_Osemiring__char__0 tptp.tc_nat)) % 0.38/0.69 (assume @p220 (tptp.class_Orderings_Opreorder tptp.tc_nat)) % 0.38/0.69 (assume @p221 (tptp.class_Orderings_Olinorder tptp.tc_nat)) % 0.38/0.69 (assume @p222 (tptp.class_Lattices_Olattice tptp.tc_nat)) % 0.38/0.69 (assume @p223 (tptp.class_Orderings_Oorder tptp.tc_nat)) % 0.38/0.69 (assume @p224 (tptp.class_Lattices_Olower__semilattice tptp.tc_bool)) % 0.38/0.69 (assume @p225 (tptp.class_Orderings_Opreorder tptp.tc_bool)) % 0.38/0.69 (assume @p226 (tptp.class_Lattices_Olattice tptp.tc_bool)) % 0.38/0.69 (assume @p227 (tptp.class_Orderings_Oorder tptp.tc_bool)) % 0.38/0.69 (assume @p228 (forall (@list @t214 @t267 @t266 @t11 @t248 @t1) (= (tptp.c_COMBC @t214 @t267 @t266 @t11 @t248 @t1) (tptp.hAPP (tptp.hAPP @t214 @t266) @t267)))) % 0.38/0.69 (assume @p229 (forall @t209 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t50 @t4) @t4)))) % 0.38/0.69 (assume @p230 (forall (@list @t278 @t277 @t1) (or (= @t278 @t277) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t50 @t278) @t277)))))) % 0.38/0.69 (step @p231 :rule cnf_or_pos :args (@t280)) % 0.38/0.69 (step @p232 :rule reordering :premises (@p231) :args ((or @t271 @t279 @t281))) % 0.38/0.69 (step @p233 :rule chain_m_resolution :premises (@p232 @p211 @p210) :args (@t281 @t282 (@list @t271 @t270))) % 0.38/0.69 (assume-push @p240 @t247) % 0.38/0.69 (step @p235 :rule instantiate :premises (@p189) :args ((@list @t264 tptp.v_rs____ tptp.v_Ts____))) % 0.38/0.69 (step-pop @p241 :rule scope :premises (@p235)) % 0.38/0.69 (step @p236 :rule process_scope :premises (@p241) :args (@t280)) % 0.38/0.69 (step @p238 :rule implies_elim :premises (@p236)) % 0.38/0.69 (step @p239 false :rule chain_m_resolution :premises (@p238 @p233 @p189) :args (false @t282 (@list @t280 @t247))) % 0.38/0.69 ) % 0.38/0.69 % SZS output end Proof % 0.38/0.69 % cvc5 exiting %------------------------------------------------------------------------------