%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL799-1 : 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 11:23:53 AM UTC 2026 % Result : Unsatisfiable 0.93s 1.25s % Output : Proof 0.93s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL799-1 : TPTP v9.3.1. Released v4.1.0. % 0.00/0.05 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.10/0.36 % Computer : n003.cluster.edu % 0.10/0.36 % Model : x86_64 x86_64 % 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.36 % Memory : 8046.5625MB % 0.10/0.36 % OS : Linux 6.8.0-71-generic % 0.10/0.36 % CPULimit : 300 % 0.10/0.36 % WCLimit : 300 % 0.10/0.36 % DateTime : Sat Sep 5 05:34:20 UTC 2026 % 0.10/0.36 % CPUTime : % 0.20/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.20/0.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.93/1.25 % SZS status Unsatisfiable % 0.93/1.25 % SZS output start Proof % 0.93/1.27 ( % 0.93/1.27 (declare-sort $$unsorted 0) % 0.93/1.27 (declare-const tptp.tc_bool $$unsorted) % 0.93/1.27 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 0.93/1.27 (declare-const tptp.v_u____ $$unsorted) % 0.93/1.27 (declare-const tptp.v_T_Ha______ $$unsorted) % 0.93/1.27 (declare-const tptp.v_i____ $$unsorted) % 0.93/1.27 (declare-const tptp.v_n____ $$unsorted) % 0.93/1.27 (declare-const tptp.v_T_H_H____ $$unsorted) % 0.93/1.27 (declare-const tptp.v_Ts____ $$unsorted) % 0.93/1.27 (declare-const tptp.v_T_H____ $$unsorted) % 0.93/1.27 (declare-const tptp.c_Lambda_Olift (-> $$unsorted $$unsorted $$unsorted)) % 0.93/1.27 (declare-const tptp.tc_Type_Otype $$unsorted) % 0.93/1.27 (declare-const tptp.c_Type_Otype_OFun $$unsorted) % 0.93/1.27 (declare-const tptp.c_Type_Osko__Type__Xtyping__elims__2__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.93/1.27 (declare-const tptp.c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.93/1.27 (declare-const tptp.class_OrderedGroup_Ocancel__semigroup__add (-> $$unsorted Bool)) % 0.93/1.27 (declare-const tptp.c_Type_Osko__Type__Xlist__app__typeD__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.93/1.27 (declare-const tptp.v_T____ $$unsorted) % 0.93/1.27 (declare-const tptp.class_OrderedGroup_Olordered__ab__group__add (-> $$unsorted Bool)) % 0.93/1.27 (declare-const tptp.class_OrderedGroup_Omonoid__add (-> $$unsorted Bool)) % 0.93/1.27 (declare-const tptp.c_HOL_Oplus__class_Oplus (-> $$unsorted $$unsorted)) % 0.93/1.27 (declare-const tptp.c_HOL_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 0.93/1.27 (declare-const tptp.class_Int_Onumber__ring (-> $$unsorted Bool)) % 0.93/1.27 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 0.93/1.27 (declare-const tptp.c_Lambda_OdB_OAbs (-> $$unsorted $$unsorted)) % 0.93/1.27 (declare-const tptp.c_List_Olist_OCons (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.93/1.27 (declare-const tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 0.93/1.27 (declare-const tptp.c_ListOrder_Ostep1 (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.93/1.27 (declare-const tptp.c_Lambda_OdB_OVar (-> $$unsorted $$unsorted)) % 0.93/1.27 (declare-const tptp.class_OrderedGroup_Opordered__comm__monoid__add (-> $$unsorted Bool)) % 0.93/1.27 (declare-const tptp.c_Type_Osko__Type__Xvar__app__types__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.93/1.27 (declare-const tptp.v_e____ $$unsorted) % 0.93/1.27 (declare-const tptp.c_List_Olistsp (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.93/1.27 (declare-const tptp.c_Lambda_OdB_OApp $$unsorted) % 0.93/1.27 (declare-const tptp.tc_nat $$unsorted) % 0.93/1.27 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 0.93/1.27 (declare-const tptp.c_Type_Otypings (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.93/1.27 (declare-const tptp.v_ea______ $$unsorted) % 0.93/1.27 (declare-const tptp.c_HOL_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.93/1.27 (declare-const tptp.c_Type_Osko__Type__Xtypes__snocE__1__2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.93/1.27 (declare-const tptp.class_Ring__and__Field_Oidom (-> $$unsorted Bool)) % 0.93/1.27 (declare-const tptp.v_ia______ $$unsorted) % 0.93/1.27 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 0.93/1.27 (declare-const tptp.tc_Lambda_OdB $$unsorted) % 0.93/1.27 (declare-const tptp.c_List_Oappend (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.93/1.27 (declare-const tptp.c_Type_Otyping (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.93/1.27 (declare-const tptp.class_Ring__and__Field_Ocomm__semiring__1 (-> $$unsorted Bool)) % 0.93/1.27 (declare-const tptp.c_Type_Oshift (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.93/1.27 (declare-const tptp.class_OrderedGroup_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 0.93/1.27 (declare-const tptp.c_List_Ofoldr (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.93/1.27 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 0.93/1.27 (declare-const tptp.c_Type_Osko__Type__Xlist__app__typeE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.93/1.27 (declare-const tptp.c_List_Ofoldl (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.93/1.27 (declare-const tptp.class_Ring__and__Field_Oordered__semidom (-> $$unsorted Bool)) % 0.93/1.27 (declare-const tptp.class_OrderedGroup_Oab__group__add (-> $$unsorted Bool)) % 0.93/1.27 (declare-const tptp.class_OrderedGroup_Oab__semigroup__add (-> $$unsorted Bool)) % 0.93/1.27 (declare-const tptp.c_List_Olist_ONil (-> $$unsorted $$unsorted)) % 0.93/1.27 (declare-const tptp.v_ua______ $$unsorted) % 0.93/1.27 (declare-const tptp.v_rs____ $$unsorted) % 0.93/1.27 (declare-const tptp.c_Transitive__Closure_Ortranclp (-> $$unsorted $$unsorted $$unsorted)) % 0.93/1.27 (declare-const tptp.c_InductTermi_OIT $$unsorted) % 0.93/1.27 (declare-const tptp.c_Wellfounded_Oaccp (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.93/1.27 (declare-const tptp.class_OrderedGroup_Osemigroup__add (-> $$unsorted Bool)) % 0.93/1.27 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 0.93/1.27 (declare-const tptp.c_Nat_Osemiring__1__class_Oof__nat (-> $$unsorted $$unsorted $$unsorted)) % 0.93/1.27 (declare-const tptp.c_Lambda_Obeta $$unsorted) % 0.93/1.27 (declare-const tptp.class_Nat_Osemiring__char__0 (-> $$unsorted Bool)) % 0.93/1.27 (declare-const tptp.class_Ring__and__Field_Oordered__idom (-> $$unsorted Bool)) % 0.93/1.27 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted)) % 0.93/1.27 (declare-const tptp.class_Ring__and__Field_Osemiring__1 (-> $$unsorted Bool)) % 0.93/1.27 (declare-const tptp.c_Lambda_Osubst (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.93/1.27 (declare-const tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 0.93/1.27 (declare-const tptp.c_Type_Osko__Type__Xvar__app__typesE__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.93/1.27 (declare-const tptp.class_OrderedGroup_Ocomm__monoid__add (-> $$unsorted Bool)) % 0.93/1.27 (declare-const tptp.c_Predicate_Oconversep (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.93/1.27 (declare-const tptp.v_as____ $$unsorted) % 0.93/1.27 (declare-const tptp.v_a____ $$unsorted) % 0.93/1.27 (define @t1 () (@var "T_a" $$unsorted)) % 0.93/1.27 (define @t2 () (@var "V_ts" $$unsorted)) % 0.93/1.27 (define @t3 () (@var "V_x" $$unsorted)) % 0.93/1.27 (define @t4 () (@var "V_xs" $$unsorted)) % 0.93/1.27 (define @t5 () (tptp.c_List_Oappend @t4 @t3 @t1)) % 0.93/1.27 (define @t6 () (@var "V_ys" $$unsorted)) % 0.93/1.27 (define @t7 () (@var "V_zs" $$unsorted)) % 0.93/1.27 (define @t8 () (@var "V_us" $$unsorted)) % 0.93/1.27 (define @t9 () (@var "V_xs1" $$unsorted)) % 0.93/1.27 (define @t10 () (tptp.c_List_Oappend @t4 @t6 @t1)) % 0.93/1.27 (define @t11 () (@list @t4 @t6 @t1 @t7)) % 0.93/1.27 (define @t12 () (tptp.c_List_Olist_ONil @t1)) % 0.93/1.27 (define @t13 () (tptp.c_List_Oappend @t12 @t12 @t1)) % 0.93/1.27 (define @t14 () (@list @t1)) % 0.93/1.27 (define @t15 () (@var "V_y" $$unsorted)) % 0.93/1.27 (define @t16 () (= @t3 @t15)) % 0.93/1.27 (define @t17 () (tptp.c_List_Oappend @t6 (tptp.c_List_Olist_OCons @t15 @t12 @t1) @t1)) % 0.93/1.27 (define @t18 () (tptp.c_List_Oappend @t4 (tptp.c_List_Olist_OCons @t3 @t12 @t1) @t1)) % 0.93/1.27 (define @t19 () (not (= @t18 @t17))) % 0.93/1.27 (define @t20 () (@list @t4 @t3 @t1 @t6 @t15)) % 0.93/1.27 (define @t21 () (= @t4 @t6)) % 0.93/1.27 (define @t22 () (tptp.c_List_Olist_OCons @t3 @t4 @t1)) % 0.93/1.27 (define @t23 () (tptp.c_List_Oappend @t12 @t22 @t1)) % 0.93/1.27 (define @t24 () (= @t4 @t12)) % 0.93/1.27 (define @t25 () (@list @t4 @t6 @t1)) % 0.93/1.27 (define @t26 () (= @t6 @t12)) % 0.93/1.27 (define @t27 () (@var "V_A" $$unsorted)) % 0.93/1.27 (define @t28 () (tptp.c_List_Olistsp @t27 @t4 @t1)) % 0.93/1.27 (define @t29 () (tptp.c_List_Olistsp @t27 @t6 @t1)) % 0.93/1.27 (define @t30 () (tptp.c_List_Olistsp @t27 @t10 @t1)) % 0.93/1.27 (define @t31 () (@var "V_r" $$unsorted)) % 0.93/1.27 (define @t32 () (not (tptp.c_ListOrder_Ostep1 @t31 @t17 @t18 @t1))) % 0.93/1.27 (define @t33 () (= @t15 @t3)) % 0.93/1.27 (define @t34 () (= @t6 @t4)) % 0.93/1.27 (define @t35 () (not (= @t10 @t12))) % 0.93/1.27 (define @t36 () (not (= @t12 @t10))) % 0.93/1.27 (define @t37 () (@list @t1 @t4 @t6)) % 0.93/1.27 (define @t38 () (tptp.hAPP @t31 @t15)) % 0.93/1.27 (define @t39 () (tptp.hBOOL (tptp.hAPP @t38 @t3))) % 0.93/1.27 (define @t40 () (@var "T_b" $$unsorted)) % 0.93/1.27 (define @t41 () (@var "V_a" $$unsorted)) % 0.93/1.27 (define @t42 () (@var "V_f" $$unsorted)) % 0.93/1.27 (define @t43 () (tptp.c_List_Oappend @t4 @t6 @t40)) % 0.93/1.27 (define @t44 () (tptp.c_List_Oappend @t12 @t6 @t1)) % 0.93/1.27 (define @t45 () (tptp.c_List_Oappend @t4 @t12 @t1)) % 0.93/1.27 (define @t46 () (@list @t4 @t1)) % 0.93/1.27 (define @t47 () (= @t6 @t7)) % 0.93/1.27 (define @t48 () (not @t30)) % 0.93/1.27 (define @t49 () (@var "V_vs" $$unsorted)) % 0.93/1.27 (define @t50 () (tptp.c_ListOrder_Ostep1 @t31 @t6 @t4 @t1)) % 0.93/1.27 (define @t51 () (not @t50)) % 0.93/1.27 (define @t52 () (@var "V_Ts" $$unsorted)) % 0.93/1.27 (define @t53 () (tptp.c_List_Olist_ONil tptp.tc_Lambda_OdB)) % 0.93/1.27 (define @t54 () (@var "V_t" $$unsorted)) % 0.93/1.27 (define @t55 () (@var "V_e" $$unsorted)) % 0.93/1.27 (define @t56 () (@var "V_xa" $$unsorted)) % 0.93/1.27 (define @t57 () (tptp.c_List_Olist_OCons @t3 (tptp.c_List_Oappend @t56 @t7 @t1) @t1)) % 0.93/1.27 (define @t58 () (tptp.c_List_Olist_OCons @t3 @t56 @t1)) % 0.93/1.27 (define @t59 () (tptp.c_List_Oappend @t58 @t7 @t1)) % 0.93/1.27 (define @t60 () (tptp.c_HOL_Ozero__class_Ozero @t1)) % 0.93/1.27 (define @t61 () (tptp.c_HOL_Oord__class_Oless @t60 @t41 @t1)) % 0.93/1.27 (define @t62 () (not @t61)) % 0.93/1.27 (define @t63 () (tptp.c_HOL_Oplus__class_Oplus @t1)) % 0.93/1.27 (define @t64 () (tptp.hAPP @t63 @t41)) % 0.93/1.27 (define @t65 () (tptp.hAPP @t64 @t41)) % 0.93/1.27 (define @t66 () (tptp.c_HOL_Oord__class_Oless @t60 @t65 @t1)) % 0.93/1.27 (define @t67 () (not (tptp.class_OrderedGroup_Olordered__ab__group__add @t1))) % 0.93/1.27 (define @t68 () (@list @t1 @t41)) % 0.93/1.27 (define @t69 () (tptp.hAPP @t63 @t60)) % 0.93/1.27 (define @t70 () (= (tptp.hAPP @t69 @t41) @t41)) % 0.93/1.27 (define @t71 () (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 @t1))) % 0.93/1.27 (define @t72 () (= (tptp.hAPP @t64 @t60) @t41)) % 0.93/1.27 (define @t73 () (not (tptp.class_OrderedGroup_Omonoid__add @t1))) % 0.93/1.27 (define @t74 () (not (tptp.class_OrderedGroup_Ocomm__monoid__add @t1))) % 0.93/1.27 (define @t75 () (tptp.hAPP @t63 @t3)) % 0.93/1.27 (define @t76 () (not (tptp.class_Int_Onumber__ring @t1))) % 0.93/1.27 (define @t77 () (not (tptp.class_Ring__and__Field_Oidom @t1))) % 0.93/1.27 (define @t78 () (@list @t1 @t3)) % 0.93/1.27 (define @t79 () (@var "V_m" $$unsorted)) % 0.93/1.27 (define @t80 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t79 @t1)) % 0.93/1.27 (define @t81 () (not (tptp.class_Ring__and__Field_Oordered__semidom @t1))) % 0.93/1.27 (define @t82 () (@var "V_d" $$unsorted)) % 0.93/1.27 (define @t83 () (@var "V_b" $$unsorted)) % 0.93/1.27 (define @t84 () (tptp.hAPP @t63 @t83)) % 0.93/1.27 (define @t85 () (tptp.hAPP @t84 @t82)) % 0.93/1.27 (define @t86 () (@var "V_c" $$unsorted)) % 0.93/1.27 (define @t87 () (tptp.hAPP @t64 @t86)) % 0.93/1.27 (define @t88 () (tptp.hAPP @t63 @t87)) % 0.93/1.27 (define @t89 () (tptp.hAPP @t63 @t86)) % 0.93/1.27 (define @t90 () (tptp.hAPP @t89 @t82)) % 0.93/1.27 (define @t91 () (tptp.hAPP @t64 @t83)) % 0.93/1.27 (define @t92 () (tptp.hAPP @t63 @t91)) % 0.93/1.27 (define @t93 () (not (tptp.c_ListOrder_Ostep1 @t31 (tptp.c_List_Olist_OCons @t15 @t6 @t1) @t22 @t1))) % 0.93/1.27 (define @t94 () (@var "V_list_H" $$unsorted)) % 0.93/1.27 (define @t95 () (@var "V_a_H" $$unsorted)) % 0.93/1.27 (define @t96 () (tptp.c_List_Olist_OCons @t95 @t94 @t1)) % 0.93/1.27 (define @t97 () (= @t83 @t86)) % 0.93/1.27 (define @t98 () (tptp.hAPP @t89 @t41)) % 0.93/1.27 (define @t99 () (tptp.hAPP @t84 @t41)) % 0.93/1.27 (define @t100 () (not (tptp.class_OrderedGroup_Ocancel__semigroup__add @t1))) % 0.93/1.27 (define @t101 () (@list @t1 @t83 @t41 @t86)) % 0.93/1.27 (define @t102 () (not (= @t91 @t87))) % 0.93/1.27 (define @t103 () (@list @t1 @t41 @t83 @t86)) % 0.93/1.27 (define @t104 () (@var "V_z" $$unsorted)) % 0.93/1.27 (define @t105 () (tptp.hAPP @t75 @t104)) % 0.93/1.27 (define @t106 () (tptp.hAPP @t75 @t15)) % 0.93/1.27 (define @t107 () (@list @t1 @t3 @t15 @t104)) % 0.93/1.27 (define @t108 () (tptp.c_HOL_Oord__class_Oless @t41 @t60 @t1)) % 0.93/1.27 (define @t109 () (not @t108)) % 0.93/1.27 (define @t110 () (not (tptp.class_OrderedGroup_Opordered__comm__monoid__add @t1))) % 0.93/1.27 (define @t111 () (@list @t1 @t41 @t83)) % 0.93/1.27 (define @t112 () (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) % 0.93/1.27 (define @t113 () (tptp.c_Transitive__Closure_Ortranclp @t31 @t1)) % 0.93/1.27 (define @t114 () (tptp.hAPP @t113 @t15)) % 0.93/1.27 (define @t115 () (tptp.hBOOL (tptp.hAPP @t114 @t3))) % 0.93/1.27 (define @t116 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Transitive__Closure_Ortranclp (tptp.c_Predicate_Oconversep @t31 @t1 @t1) @t1) @t3) @t15))) % 0.93/1.27 (define @t117 () (@list @t31 @t1 @t3 @t15)) % 0.93/1.27 (define @t118 () (tptp.c_List_Olist_OCons @t3 @t4 @t40)) % 0.93/1.27 (define @t119 () (tptp.c_List_Olist_ONil @t40)) % 0.93/1.27 (define @t120 () (@var "V_u" $$unsorted)) % 0.93/1.27 (define @t121 () (tptp.hAPP @t63 @t15)) % 0.93/1.27 (define @t122 () (tptp.hAPP @t75 (tptp.hAPP @t121 @t104))) % 0.93/1.27 (define @t123 () (not (tptp.class_OrderedGroup_Oab__group__add @t1))) % 0.93/1.27 (define @t124 () (tptp.c_Predicate_Oconversep @t31 @t1 @t40)) % 0.93/1.27 (define @t125 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t124 @t41) @t83))) % 0.93/1.27 (define @t126 () (tptp.hAPP @t31 @t83)) % 0.93/1.27 (define @t127 () (tptp.hBOOL (tptp.hAPP @t126 @t41))) % 0.93/1.27 (define @t128 () (@var "V_a2" $$unsorted)) % 0.93/1.27 (define @t129 () (@var "V_a1" $$unsorted)) % 0.93/1.27 (define @t130 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t31 @t41) @t83)))) % 0.93/1.27 (define @t131 () (tptp.hAPP @t84 @t86)) % 0.93/1.27 (define @t132 () (tptp.hAPP @t64 @t131)) % 0.93/1.27 (define @t133 () (tptp.hAPP @t92 @t86)) % 0.93/1.27 (define @t134 () (= @t133 @t132)) % 0.93/1.27 (define @t135 () (tptp.hAPP @t64 @t90)) % 0.93/1.27 (define @t136 () (@list @t1 @t41 @t86 @t82)) % 0.93/1.27 (define @t137 () (not (tptp.class_OrderedGroup_Oab__semigroup__add @t1))) % 0.93/1.27 (define @t138 () (tptp.c_Wellfounded_Oaccp @t31 @t41 @t1)) % 0.93/1.27 (define @t139 () (not @t138)) % 0.93/1.27 (define @t140 () (tptp.hAPP @t113 @t83)) % 0.93/1.27 (define @t141 () (not (tptp.hBOOL (tptp.hAPP @t140 @t41)))) % 0.93/1.27 (define @t142 () (tptp.c_Wellfounded_Oaccp @t31 @t83 @t1)) % 0.93/1.27 (define @t143 () (@list @t31 @t83 @t1 @t41)) % 0.93/1.27 (define @t144 () (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t54)))) % 0.93/1.27 (define @t145 () (tptp.c_Predicate_Oconversep tptp.c_Lambda_Obeta tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.93/1.27 (define @t146 () (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t31))) % 0.93/1.27 (define @t147 () (@list @t31)) % 0.93/1.27 (define @t148 () (@list @t1 @t3 @t15)) % 0.93/1.27 (define @t149 () (@var "V_n" $$unsorted)) % 0.93/1.27 (define @t150 () (= @t79 @t149)) % 0.93/1.27 (define @t151 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t149 @t1)) % 0.93/1.27 (define @t152 () (@list @t1 @t79 @t149)) % 0.93/1.27 (define @t153 () (= @t41 @t60)) % 0.93/1.27 (define @t154 () (tptp.c_List_Ofoldl @t63 @t41 @t4 @t1 @t1)) % 0.93/1.27 (define @t155 () (tptp.c_HOL_Oord__class_Oless @t65 @t60 @t1)) % 0.93/1.27 (define @t156 () (not @t155)) % 0.93/1.27 (define @t157 () (not (tptp.class_Ring__and__Field_Oordered__idom @t1))) % 0.93/1.27 (define @t158 () (@var "V_s" $$unsorted)) % 0.93/1.27 (define @t159 () (tptp.c_List_Olist_OCons @t158 @t53 tptp.tc_Lambda_OdB)) % 0.93/1.27 (define @t160 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t31) @t158)) % 0.93/1.27 (define @t161 () (tptp.c_fequal @t1)) % 0.93/1.27 (define @t162 () (@list @t31 @t6 @t4 @t1 @t15 @t3)) % 0.93/1.27 (define @t163 () (tptp.c_HOL_Oord__class_Oless @t41 @t83 @t1)) % 0.93/1.27 (define @t164 () (not @t163)) % 0.93/1.27 (define @t165 () (not (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add @t1))) % 0.93/1.27 (define @t166 () (tptp.c_HOL_Oord__class_Oless @t79 @t149 tptp.tc_nat)) % 0.93/1.27 (define @t167 () (tptp.c_HOL_Oord__class_Oless @t80 @t151 @t1)) % 0.93/1.27 (define @t168 () (tptp.c_HOL_Oord__class_Oless @t87 @t131 @t1)) % 0.93/1.27 (define @t169 () (@list @t1 @t41 @t86 @t83)) % 0.93/1.27 (define @t170 () (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le @t1))) % 0.93/1.27 (define @t171 () (tptp.c_HOL_Oord__class_Oless @t98 (tptp.hAPP @t89 @t83) @t1)) % 0.93/1.27 (define @t172 () (@list @t1 @t86 @t41 @t83)) % 0.93/1.27 (define @t173 () (@var "V_list" $$unsorted)) % 0.93/1.27 (define @t174 () (not (= (tptp.c_List_Olist_OCons @t41 @t173 @t1) @t96))) % 0.93/1.27 (define @t175 () (@list @t41 @t173 @t1 @t95 @t94)) % 0.93/1.27 (define @t176 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t54 @t2 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.93/1.27 (define @t177 () (tptp.c_List_Oappend @t3 @t159 tptp.tc_Lambda_OdB)) % 0.93/1.27 (define @t178 () (not (tptp.c_HOL_Oord__class_Oless @t83 @t41 @t1))) % 0.93/1.27 (define @t179 () (not (tptp.class_Orderings_Opreorder @t1))) % 0.93/1.27 (define @t180 () (tptp.c_HOL_Oord__class_Oless @t3 @t15 @t1)) % 0.93/1.27 (define @t181 () (not @t180)) % 0.93/1.27 (define @t182 () (tptp.c_HOL_Oord__class_Oless @t15 @t3 @t1)) % 0.93/1.27 (define @t183 () (not @t182)) % 0.93/1.27 (define @t184 () (@list @t1 @t15 @t3)) % 0.93/1.27 (define @t185 () (not (tptp.class_Orderings_Olinorder @t1))) % 0.93/1.27 (define @t186 () (tptp.hAPP @t113 @t41)) % 0.93/1.27 (define @t187 () (tptp.hBOOL (tptp.hAPP @t186 @t86))) % 0.93/1.27 (define @t188 () (@list @t31 @t1 @t41 @t86 @t83)) % 0.93/1.27 (define @t189 () (not (tptp.class_Orderings_Oorder @t1))) % 0.93/1.27 (define @t190 () (@var "V_nat" $$unsorted)) % 0.93/1.27 (define @t191 () (tptp.c_Lambda_OdB_OVar @t190)) % 0.93/1.27 (define @t192 () (@var "V_dB_H" $$unsorted)) % 0.93/1.27 (define @t193 () (tptp.c_Lambda_OdB_OAbs @t192)) % 0.93/1.27 (define @t194 () (@var "V_dB2" $$unsorted)) % 0.93/1.27 (define @t195 () (@var "V_dB1" $$unsorted)) % 0.93/1.27 (define @t196 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t195) @t194)) % 0.93/1.27 (define @t197 () (@var "V_T" $$unsorted)) % 0.93/1.27 (define @t198 () (@var "V_i" $$unsorted)) % 0.93/1.27 (define @t199 () (tptp.c_Lambda_OdB_OVar @t198)) % 0.93/1.27 (define @t200 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t199 @t2 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.93/1.27 (define @t201 () (not (tptp.c_Type_Otyping @t55 @t200 @t197))) % 0.93/1.27 (define @t202 () (tptp.c_Type_Osko__Type__Xvar__app__typesE__1__1 @t197 @t55 @t198 @t2)) % 0.93/1.27 (define @t203 () (tptp.c_Type_Otyping @t55 @t176 @t197)) % 0.93/1.27 (define @t204 () (not @t203)) % 0.93/1.27 (define @t205 () (tptp.c_Type_Osko__Type__Xlist__app__typeD__1__1 @t197 @t55 @t54 @t2)) % 0.93/1.27 (define @t206 () (@list @t55 @t2 @t197 @t54)) % 0.93/1.27 (define @t207 () (@var "V_j" $$unsorted)) % 0.93/1.27 (define @t208 () (not (tptp.c_HOL_Oord__class_Oless @t207 @t198 tptp.tc_nat))) % 0.93/1.27 (define @t209 () (tptp.c_HOL_Oord__class_Oless @t112 @t149 tptp.tc_nat)) % 0.93/1.27 (define @t210 () (@list @t149)) % 0.93/1.27 (define @t211 () (tptp.c_Transitive__Closure_Ortranclp tptp.c_Lambda_Obeta tptp.tc_Lambda_OdB)) % 0.93/1.27 (define @t212 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t211 @t31) @t158)))) % 0.93/1.27 (define @t213 () (@var "V_ss" $$unsorted)) % 0.93/1.27 (define @t214 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t158 @t213 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.93/1.27 (define @t215 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t31 @t213 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.93/1.27 (define @t216 () (@list @t31 @t213 @t158)) % 0.93/1.27 (define @t217 () (tptp.c_HOL_Oord__class_Oless @t60 @t151 @t1)) % 0.93/1.27 (define @t218 () (@list @t1 @t149)) % 0.93/1.27 (define @t219 () (tptp.c_List_Ofoldr @t63 @t4 @t60 @t1 @t1)) % 0.93/1.27 (define @t220 () (tptp.c_Lambda_OdB_OAbs @t31)) % 0.93/1.27 (define @t221 () (not (= @t214 @t220))) % 0.93/1.27 (define @t222 () (@list @t158 @t213 @t31)) % 0.93/1.27 (define @t223 () (= @t31 @t158)) % 0.93/1.27 (define @t224 () (tptp.c_Lambda_OdB_OAbs @t158)) % 0.93/1.27 (define @t225 () (@var "V_rs" $$unsorted)) % 0.93/1.27 (define @t226 () (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t220 @t225 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t224 @t213 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.93/1.27 (define @t227 () (@list @t31 @t225 @t158 @t213)) % 0.93/1.27 (define @t228 () (= @t225 @t213)) % 0.93/1.27 (define @t229 () (tptp.c_HOL_Oord__class_Oless @t149 @t79 tptp.tc_nat)) % 0.93/1.27 (define @t230 () (@var "V_P" $$unsorted)) % 0.93/1.27 (define @t231 () (not (tptp.c_HOL_Oord__class_Oless @t3 @t3 @t1))) % 0.93/1.27 (define @t232 () (tptp.c_HOL_Oord__class_Oless @t3 @t3 tptp.tc_nat)) % 0.93/1.27 (define @t233 () (= @t213 @t53)) % 0.93/1.27 (define @t234 () (not (= @t220 @t214))) % 0.93/1.27 (define @t235 () (@list @t31 @t158 @t213)) % 0.93/1.27 (define @t236 () (@var "V_dB" $$unsorted)) % 0.93/1.27 (define @t237 () (tptp.c_Lambda_OdB_OVar @t149)) % 0.93/1.27 (define @t238 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Osubst @t31 @t158 @t112) @t213 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.93/1.27 (define @t239 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t220) @t158) @t213 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.93/1.27 (define @t240 () (tptp.hAPP @t113 @t3)) % 0.93/1.27 (define @t241 () (tptp.hBOOL (tptp.hAPP @t240 @t15))) % 0.93/1.27 (define @t242 () (@var "V_s_H" $$unsorted)) % 0.93/1.27 (define @t243 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t211 @t158) @t242)))) % 0.93/1.27 (define @t244 () (tptp.c_Lambda_OdB_OVar @t79)) % 0.93/1.27 (define @t245 () (@list @t79)) % 0.93/1.27 (define @t246 () (tptp.c_Type_Osko__Type__Xlist__app__typeE__1__1 @t197 @t55 @t54 @t2)) % 0.93/1.27 (define @t247 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t220 @t53 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.93/1.27 (define @t248 () (not (tptp.c_Type_Otyping @t55 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t200 @t8 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) @t197))) % 0.93/1.27 (define @t249 () (not (tptp.c_Type_Otypings @t55 @t2 @t52))) % 0.93/1.27 (define @t250 () (@var "V_U" $$unsorted)) % 0.93/1.27 (define @t251 () (not (tptp.c_Type_Otyping @t55 @t200 @t250))) % 0.93/1.27 (define @t252 () (tptp.c_Type_Osko__Type__Xvar__app__types__1__1 @t197 @t250 @t55 @t8)) % 0.93/1.27 (define @t253 () (not @t146)) % 0.93/1.27 (define @t254 () (not (= @t244 @t214))) % 0.93/1.27 (define @t255 () (@list @t79 @t158 @t213)) % 0.93/1.27 (define @t256 () (@var "V_v" $$unsorted)) % 0.93/1.27 (define @t257 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t237 @t225 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.93/1.27 (define @t258 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t257) @t256)))) % 0.93/1.27 (define @t259 () (tptp.c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1 @t149 @t225 @t256)) % 0.93/1.27 (define @t260 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t237 @t213 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.93/1.27 (define @t261 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t224) @t54)) % 0.93/1.27 (define @t262 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t158) @t54)))) % 0.93/1.27 (define @t263 () (tptp.c_Lambda_OdB_OAbs @t54)) % 0.93/1.27 (define @t264 () (@list @t158 @t54)) % 0.93/1.27 (define @t265 () (@var "V_dB2_H" $$unsorted)) % 0.93/1.27 (define @t266 () (@var "V_dB1_H" $$unsorted)) % 0.93/1.27 (define @t267 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t266) @t265)) % 0.93/1.27 (define @t268 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t54)) % 0.93/1.27 (define @t269 () (tptp.hAPP @t268 @t120)) % 0.93/1.27 (define @t270 () (not (tptp.c_Type_Otyping @t55 @t269 @t197))) % 0.93/1.27 (define @t271 () (tptp.c_Type_Osko__Type__Xtyping__elims__2__1 @t197 @t55 @t54 @t120)) % 0.93/1.27 (define @t272 () (@list @t54 @t198)) % 0.93/1.27 (define @t273 () (@list @t55 @t54 @t197 @t2)) % 0.93/1.27 (define @t274 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t31) @t158)))) % 0.93/1.27 (define @t275 () (tptp.c_Lambda_Olift @t158 @t198)) % 0.93/1.27 (define @t276 () (tptp.c_Lambda_Olift @t31 @t198)) % 0.93/1.27 (define @t277 () (@list @t31 @t198 @t158)) % 0.93/1.27 (define @t278 () (@var "V_k" $$unsorted)) % 0.93/1.27 (define @t279 () (@var "V_t_H" $$unsorted)) % 0.93/1.27 (define @t280 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t211 @t54) @t279)))) % 0.93/1.27 (define @t281 () (not (tptp.c_Type_Otyping @t55 @t54 @t197))) % 0.93/1.27 (define @t282 () (tptp.c_Type_Otyping @t55 @t279 @t197)) % 0.93/1.27 (define @t283 () (@list @t55 @t279 @t197 @t54)) % 0.93/1.27 (define @t284 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t158)) % 0.93/1.27 (define @t285 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t120)) % 0.93/1.27 (define @t286 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t242)) % 0.93/1.27 (define @t287 () (tptp.hAPP @t284 @t54)) % 0.93/1.27 (define @t288 () (tptp.hAPP @t211 @t287)) % 0.93/1.27 (define @t289 () (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun tptp.v_Ts____ tptp.v_T_H____ tptp.tc_Type_Otype tptp.tc_Type_Otype)) % 0.93/1.27 (define @t290 () (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun tptp.v_T_H_H____) @t289)) % 0.93/1.27 (define @t291 () (tptp.c_Lambda_OdB_OVar @t3)) % 0.93/1.27 (define @t292 () (tptp.c_Lambda_OdB_OVar tptp.v_n____)) % 0.93/1.27 (define @t293 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t292 tptp.v_rs____ tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.93/1.27 (define @t294 () (tptp.c_Type_Oshift tptp.v_e____ tptp.v_i____ tptp.v_T____ tptp.tc_Type_Otype)) % 0.93/1.27 (define @t295 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t211 (tptp.c_Lambda_Osubst @t54 @t31 @t198)) (tptp.c_Lambda_Osubst @t54 @t158 @t198)))) % 0.93/1.27 (define @t296 () (@list @t54 @t31 @t198 @t158)) % 0.93/1.27 (define @t297 () (tptp.c_Lambda_Olift @t54 @t278)) % 0.93/1.27 (define @t298 () (tptp.c_Lambda_Osubst @t158 @t54 @t198)) % 0.93/1.27 (define @t299 () (tptp.c_Lambda_Osubst @t31 @t54 @t198)) % 0.93/1.27 (define @t300 () (@list @t31 @t54 @t198 @t158)) % 0.93/1.27 (define @t301 () (@var "V_env" $$unsorted)) % 0.93/1.27 (define @t302 () (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t197) @t250)) % 0.93/1.27 (define @t303 () (@var "V_Ta" $$unsorted)) % 0.93/1.27 (define @t304 () (@var "V_T1" $$unsorted)) % 0.93/1.27 (define @t305 () (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t120)))) % 0.93/1.28 (define @t306 () (tptp.c_Lambda_Osubst @t54 @t120 @t198)) % 0.93/1.28 (define @t307 () (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t306))) % 0.93/1.28 (define @t308 () (@var "V_T2" $$unsorted)) % 0.93/1.28 (define @t309 () (not (= tptp.v_T____ (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t304) @t308)))) % 0.93/1.28 (define @t310 () (@list @t304 @t308 @t54 @t120 @t198 @t55 @t303)) % 0.93/1.28 (define @t311 () (tptp.c_Lambda_Olift @t54 @t198)) % 0.93/1.28 (define @t312 () (not (= @t196 @t267))) % 0.93/1.28 (define @t313 () (@list @t195 @t194 @t266 @t265)) % 0.93/1.28 (define @t314 () (tptp.c_Lambda_OdB_OVar @t207)) % 0.93/1.28 (define @t315 () (@var "V_type2_H" $$unsorted)) % 0.93/1.28 (define @t316 () (@var "V_type2" $$unsorted)) % 0.93/1.28 (define @t317 () (@var "V_type1_H" $$unsorted)) % 0.93/1.28 (define @t318 () (@var "V_type1" $$unsorted)) % 0.93/1.28 (define @t319 () (not (= (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t318) @t316) (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t317) @t315)))) % 0.93/1.28 (define @t320 () (@list @t318 @t316 @t317 @t315)) % 0.93/1.28 (define @t321 () (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t244 @t225 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) @t260))) % 0.93/1.28 (define @t322 () (@list @t79 @t225 @t149 @t213)) % 0.93/1.28 (define @t323 () (@var "V_nat_H" $$unsorted)) % 0.93/1.28 (define @t324 () (tptp.c_Type_Otyping tptp.v_e____ tptp.v_u____ tptp.v_T____)) % 0.93/1.28 (define @t325 () (tptp.c_Type_Otyping @t294 tptp.v_a____ tptp.v_T_H_H____)) % 0.93/1.28 (define @t326 () (@var "V_e_H" $$unsorted)) % 0.93/1.28 (define @t327 () (forall (@list @t326 @t120 @t250 @t198 @t54 @t197) (or (not (tptp.c_Type_Otyping @t326 @t120 @t250)) (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t326 @t198 @t250 tptp.tc_Type_Otype) @t54 @t197)) (tptp.c_Type_Otyping @t326 @t306 @t197)))) % 0.93/1.28 (define @t328 () (tptp.c_Type_Otyping tptp.v_e____ (tptp.c_Lambda_Osubst tptp.v_a____ tptp.v_u____ tptp.v_i____) tptp.v_T_H_H____)) % 0.93/1.28 (define @t329 () (@var "T_1" $$unsorted)) % 0.93/1.28 (define @t330 () (@var "T_2" $$unsorted)) % 0.93/1.28 (define @t331 () (tptp.tc_fun @t330 @t329)) % 0.93/1.28 (define @t332 () (@list @t330 @t329)) % 0.93/1.28 (define @t333 () (@var "V_Y" $$unsorted)) % 0.93/1.28 (define @t334 () (@var "V_X" $$unsorted)) % 0.93/1.28 (define @t335 () (not @t325)) % 0.93/1.28 (define @t336 () (not @t324)) % 0.93/1.28 (define @t337 () (or @t336 @t335 @t328)) % 0.93/1.28 (define @t338 () (not @t337)) % 0.93/1.28 (assume @p1 (forall (@list @t4 @t3 @t2 @t1) (= (tptp.c_List_Oappend @t4 (tptp.c_List_Oappend @t3 @t2 @t1) @t1) (tptp.c_List_Oappend @t5 @t2 @t1)))) % 0.93/1.28 (assume @p2 (forall (@list @t7 @t3 @t1 @t6) (= (tptp.c_List_Oappend (tptp.c_List_Oappend @t7 @t3 @t1) @t6 @t1) (tptp.c_List_Oappend @t7 (tptp.c_List_Oappend @t3 @t6 @t1) @t1)))) % 0.93/1.28 (assume @p3 (forall (@list @t4 @t9 @t8 @t1) (= (tptp.c_List_Oappend @t4 (tptp.c_List_Oappend @t9 @t8 @t1) @t1) (tptp.c_List_Oappend (tptp.c_List_Oappend @t4 @t9 @t1) @t8 @t1)))) % 0.93/1.28 (assume @p4 (forall @t11 (= (tptp.c_List_Oappend @t10 @t7 @t1) (tptp.c_List_Oappend @t4 (tptp.c_List_Oappend @t6 @t7 @t1) @t1)))) % 0.93/1.28 (assume @p5 (forall @t14 (= @t13 @t12))) % 0.93/1.28 (assume @p6 (forall @t20 (or @t19 @t16))) % 0.93/1.28 (assume @p7 (forall @t20 (or @t19 @t21))) % 0.93/1.28 (assume @p8 (forall (@list @t1 @t3 @t4) (= @t23 @t22))) % 0.93/1.28 (assume @p9 (forall (@list @t6 @t4 @t1) (or (not (= @t6 @t10)) @t24))) % 0.93/1.28 (assume @p10 (forall @t25 (or (not (= @t10 @t6)) @t24))) % 0.93/1.28 (assume @p11 (forall @t25 (or (not (= @t4 @t10)) @t26))) % 0.93/1.28 (assume @p12 (forall @t25 (or (not (= @t10 @t4)) @t26))) % 0.93/1.28 (assume @p13 (forall (@list @t27 @t4 @t6 @t1) (or @t30 (not @t29) (not @t28)))) % 0.93/1.28 (assume @p14 (forall (@list @t6 @t4 @t15 @t3 @t31 @t1) (or @t34 @t33 @t32))) % 0.93/1.28 (assume @p15 (forall @t25 (or @t35 @t26))) % 0.93/1.28 (assume @p16 (forall @t25 (or @t35 @t24))) % 0.93/1.28 (assume @p17 (forall @t37 (or @t36 @t26))) % 0.93/1.28 (assume @p18 (forall @t37 (or @t36 @t24))) % 0.93/1.28 (assume @p19 (forall (@list @t31 @t15 @t3 @t6 @t1 @t4) (or @t39 @t33 @t32))) % 0.93/1.28 (assume @p20 (forall (@list @t42 @t4 @t6 @t40 @t41 @t1) (= (tptp.c_List_Ofoldr @t42 @t43 @t41 @t40 @t1) (tptp.c_List_Ofoldr @t42 @t4 (tptp.c_List_Ofoldr @t42 @t6 @t41 @t40 @t1) @t40 @t1)))) % 0.93/1.28 (assume @p21 (forall (@list @t6 @t1) (= @t6 @t44))) % 0.93/1.28 (assume @p22 (forall (@list @t1 @t6) (= @t44 @t6))) % 0.93/1.28 (assume @p23 (forall @t46 (= @t4 @t45))) % 0.93/1.28 (assume @p24 (forall (@list @t3 @t1) (= @t3 (tptp.c_List_Oappend @t12 @t3 @t1)))) % 0.93/1.28 (assume @p25 (forall @t46 (= @t45 @t4))) % 0.93/1.28 (assume @p26 (forall @t11 (or (not (= @t10 (tptp.c_List_Oappend @t4 @t7 @t1))) @t47))) % 0.93/1.28 (assume @p27 (forall (@list @t6 @t4 @t1 @t7) (or (not (= (tptp.c_List_Oappend @t6 @t4 @t1) (tptp.c_List_Oappend @t7 @t4 @t1))) @t47))) % 0.93/1.28 (assume @p28 (forall (@list @t27 @t6 @t1 @t4) (or @t29 @t48))) % 0.93/1.28 (assume @p29 (forall (@list @t27 @t4 @t1 @t6) (or @t28 @t48))) % 0.93/1.28 (assume @p30 (forall (@list @t31 @t3 @t49 @t1 @t8) (or (tptp.c_ListOrder_Ostep1 @t31 (tptp.c_List_Oappend @t3 @t49 @t1) (tptp.c_List_Oappend @t3 @t8 @t1) @t1) (not (tptp.c_ListOrder_Ostep1 @t31 @t49 @t8 @t1))))) % 0.93/1.28 (assume @p31 (forall (@list @t31 @t6 @t4 @t1 @t3) (or @t51 (tptp.c_ListOrder_Ostep1 @t31 (tptp.c_List_Oappend @t6 @t3 @t1) @t5 @t1)))) % 0.93/1.28 (assume @p32 (forall (@list @t31 @t15 @t3 @t6 @t4 @t1) (or @t39 @t50 @t32))) % 0.93/1.28 (assume @p33 (forall (@list @t55 @t54 @t52 @t2) (or (tptp.c_Type_Otyping @t55 @t54 (tptp.c_Type_Osko__Type__Xtypes__snocE__1__2 @t52 @t55 @t54 @t2)) (not (tptp.c_Type_Otypings @t55 (tptp.c_List_Oappend @t2 (tptp.c_List_Olist_OCons @t54 @t53 tptp.tc_Lambda_OdB) tptp.tc_Lambda_OdB) @t52))))) % 0.93/1.28 (assume @p34 (forall (@list @t3 @t56 @t1 @t7) (= @t59 @t57))) % 0.93/1.28 (assume @p35 (forall (@list @t3 @t4 @t1 @t6) (= (tptp.c_List_Oappend @t22 @t6 @t1) (tptp.c_List_Olist_OCons @t3 @t10 @t1)))) % 0.93/1.28 (assume @p36 (forall (@list @t3 @t56 @t7 @t1) (= @t57 @t59))) % 0.93/1.28 (assume @p37 (forall (@list @t3 @t9 @t7 @t1) (= (tptp.c_List_Olist_OCons @t3 (tptp.c_List_Oappend @t9 @t7 @t1) @t1) (tptp.c_List_Oappend (tptp.c_List_Olist_OCons @t3 @t9 @t1) @t7 @t1)))) % 0.93/1.28 (assume @p38 (forall (@list @t3 @t4 @t1) (= @t22 @t23))) % 0.93/1.28 (assume @p39 (forall (@list @t6 @t4 @t31 @t1 @t15 @t3) (or @t34 @t50 @t32))) % 0.93/1.28 (assume @p40 (forall @t14 (= @t12 @t13))) % 0.93/1.28 (assume @p41 (forall (@list @t42 @t41 @t4 @t6 @t40 @t1) (= (tptp.c_List_Ofoldl @t42 @t41 @t43 @t1 @t40) (tptp.c_List_Ofoldl @t42 (tptp.c_List_Ofoldl @t42 @t41 @t4 @t1 @t40) @t6 @t1 @t40)))) % 0.93/1.28 (assume @p42 (forall @t68 (or @t67 @t66 @t62))) % 0.93/1.28 (assume @p43 (forall @t68 (or @t67 @t61 (not @t66)))) % 0.93/1.28 (assume @p44 (forall @t68 (or @t71 @t70))) % 0.93/1.28 (assume @p45 (forall @t68 (or @t71 @t72))) % 0.93/1.28 (assume @p46 (forall @t68 (or @t73 @t72))) % 0.93/1.28 (assume @p47 (forall @t68 (or @t73 @t70))) % 0.93/1.28 (assume @p48 (forall @t68 (or @t74 @t72))) % 0.93/1.28 (assume @p49 (forall @t78 (or @t77 @t76 (= @t3 (tptp.hAPP @t75 @t60))))) % 0.93/1.28 (assume @p50 (forall @t68 (or @t74 @t70))) % 0.93/1.28 (assume @p51 (forall @t78 (or @t71 (= (tptp.hAPP @t69 @t3) @t3)))) % 0.93/1.28 (assume @p52 (forall (@list @t4 @t3 @t1) (not (= @t4 @t22)))) % 0.93/1.28 (assume @p53 (forall (@list @t3 @t54 @t1) (not (= (tptp.c_List_Olist_OCons @t3 @t54 @t1) @t54)))) % 0.93/1.28 (assume @p54 (forall (@list @t1 @t79) (or @t81 (not (tptp.c_HOL_Oord__class_Oless @t80 @t60 @t1))))) % 0.93/1.28 (assume @p55 (forall (@list @t1 @t41 @t83 @t86 @t82) (or @t71 (= (tptp.hAPP @t92 @t90) (tptp.hAPP @t88 @t85))))) % 0.93/1.28 (assume @p56 (forall (@list @t3 @t15 @t31 @t6 @t1 @t4) (or @t16 @t39 @t93))) % 0.93/1.28 (assume @p57 (forall (@list @t95 @t94 @t1) (not (= @t96 @t12)))) % 0.93/1.28 (assume @p58 (forall (@list @t3 @t56 @t1) (not (= @t58 @t12)))) % 0.93/1.28 (assume @p59 (forall @t101 (or @t100 (not (= @t99 @t98)) @t97))) % 0.93/1.28 (assume @p60 (forall @t103 (or @t100 @t102 @t97))) % 0.93/1.28 (assume @p61 (forall @t103 (or (not (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add @t1)) @t102 @t97))) % 0.93/1.28 (assume @p62 (forall @t107 (or @t77 @t76 (not (= @t106 @t105)) (= @t15 @t104)))) % 0.93/1.28 (assume @p63 (forall @t111 (or @t110 (tptp.c_HOL_Oord__class_Oless @t91 @t60 @t1) (not (tptp.c_HOL_Oord__class_Oless @t83 @t60 @t1)) @t109))) % 0.93/1.28 (assume @p64 (forall @t14 (or (not (tptp.class_Ring__and__Field_Osemiring__1 @t1)) (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t112 @t1) @t60)))) % 0.93/1.28 (assume @p65 (forall @t117 (or @t116 (not @t115)))) % 0.93/1.28 (assume @p66 (forall (@list @t31 @t1 @t15 @t3) (or @t115 (not @t116)))) % 0.93/1.28 (assume @p67 (forall (@list @t42 @t41 @t3 @t4 @t40 @t1) (= (tptp.c_List_Ofoldl @t42 @t41 @t118 @t1 @t40) (tptp.c_List_Ofoldl @t42 (tptp.hAPP (tptp.hAPP @t42 @t41) @t3) @t4 @t1 @t40)))) % 0.93/1.28 (assume @p68 (forall (@list @t42 @t40 @t41 @t1) (= (tptp.c_List_Ofoldr @t42 @t119 @t41 @t40 @t1) @t41))) % 0.93/1.28 (assume @p69 (forall (@list @t1 @t3 @t15 @t104 @t120) (or @t123 (not (= @t122 (tptp.hAPP @t121 @t120))) (= @t105 @t120)))) % 0.93/1.28 (assume @p70 (forall (@list @t31 @t83 @t41 @t1 @t40) (or @t127 (not @t125)))) % 0.93/1.28 (assume @p71 (forall (@list @t31 @t1 @t40 @t41 @t83) (or @t125 (not @t127)))) % 0.93/1.28 (assume @p72 (forall (@list @t31 @t128 @t129 @t1 @t40) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t31 @t128) @t129)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t124 @t129) @t128)))))) % 0.93/1.28 (assume @p73 (forall (@list @t31 @t1 @t40 @t83 @t41) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t124 @t83) @t41)) @t130))) % 0.93/1.28 (assume @p74 (forall @t103 (or @t71 @t134))) % 0.93/1.28 (assume @p75 (forall @t136 (or @t71 (= @t135 (tptp.hAPP @t89 (tptp.hAPP @t64 @t82)))))) % 0.93/1.28 (assume @p76 (forall @t103 (or @t71 (= @t133 (tptp.hAPP @t88 @t83))))) % 0.93/1.28 (assume @p77 (forall @t136 (or @t71 (= @t135 (tptp.hAPP @t88 @t82))))) % 0.93/1.28 (assume @p78 (forall @t103 (or @t137 @t134))) % 0.93/1.28 (assume @p79 (forall @t103 (or @t74 (= @t132 (tptp.hAPP @t84 @t87))))) % 0.93/1.28 (assume @p80 (forall @t103 (or @t74 @t134))) % 0.93/1.28 (assume @p81 (forall @t107 (or @t123 (= @t122 (tptp.hAPP @t121 @t105))))) % 0.93/1.28 (assume @p82 (forall @t107 (or @t71 (= @t122 (tptp.hAPP (tptp.hAPP @t63 @t106) @t104))))) % 0.93/1.28 (assume @p83 (forall @t14 (or @t67 (= (tptp.hAPP @t69 @t60) @t60)))) % 0.93/1.28 (assume @p84 (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT tptp.v_ua______))) % 0.93/1.28 (assume @p85 (forall (@list @t3 @t15 @t4 @t6 @t31 @t1) (or @t16 @t21 @t93))) % 0.93/1.28 (assume @p86 (forall (@list @t31 @t15 @t56 @t3 @t1) (or (not (tptp.hBOOL (tptp.hAPP @t38 @t56))) (tptp.c_ListOrder_Ostep1 @t31 (tptp.c_List_Olist_OCons @t15 @t3 @t1) (tptp.c_List_Olist_OCons @t56 @t3 @t1) @t1)))) % 0.93/1.28 (assume @p87 (forall (@list @t27 @t1) (tptp.c_List_Olistsp @t27 @t12 @t1))) % 0.93/1.28 (assume @p88 (forall @t143 (or @t142 @t141 @t139))) % 0.93/1.28 (assume @p89 (forall @t143 (or @t142 @t139 @t141))) % 0.93/1.28 (assume @p90 (forall (@list @t54) (or (tptp.c_Wellfounded_Oaccp @t145 @t54 tptp.tc_Lambda_OdB) @t144))) % 0.93/1.28 (assume @p91 (forall @t147 (or @t146 (not (tptp.c_Wellfounded_Oaccp @t145 @t31 tptp.tc_Lambda_OdB))))) % 0.93/1.28 (assume @p92 (forall (@list @t1 @t41 @t86) (or @t71 (= @t87 @t98)))) % 0.93/1.28 (assume @p93 (forall @t111 (or @t74 (= @t91 @t99)))) % 0.93/1.28 (assume @p94 (forall @t148 (or @t71 (= @t106 (tptp.hAPP @t121 @t3))))) % 0.93/1.28 (assume @p95 (forall (@list @t1 @t3 @t15 @t7) (or (not (tptp.class_OrderedGroup_Osemigroup__add @t1)) (= (tptp.c_List_Ofoldl @t63 @t106 @t7 @t1 @t1) (tptp.hAPP @t75 (tptp.c_List_Ofoldl @t63 @t15 @t7 @t1 @t1)))))) % 0.93/1.28 (assume @p96 (forall @t152 (or (not (tptp.class_Nat_Osemiring__char__0 @t1)) (not (= @t80 @t151)) @t150))) % 0.93/1.28 (assume @p97 (forall (@list @t1 @t3 @t41) (or @t77 @t76 (not (= @t3 (tptp.hAPP @t75 @t41))) @t153))) % 0.93/1.28 (assume @p98 (forall @t68 (or @t67 (not (= @t65 @t60)) @t153))) % 0.93/1.28 (assume @p99 (forall (@list @t1 @t4 @t41) (or @t137 (= (tptp.c_List_Ofoldr @t63 @t4 @t41 @t1 @t1) @t154)))) % 0.93/1.28 (assume @p100 (forall (@list @t31 @t1 @t4) (not (tptp.c_ListOrder_Ostep1 @t31 @t12 @t4 @t1)))) % 0.93/1.28 (assume @p101 (forall (@list @t31 @t4 @t1) (not (tptp.c_ListOrder_Ostep1 @t31 @t4 @t12 @t1)))) % 0.93/1.28 (assume @p102 (forall @t68 (or @t67 @t155 @t109))) % 0.93/1.28 (assume @p103 (forall @t68 (or @t67 @t108 @t156))) % 0.93/1.28 (assume @p104 (forall @t68 (or @t157 @t108 @t156))) % 0.93/1.28 (assume @p105 (forall @t68 (or @t157 @t155 @t109))) % 0.93/1.28 (assume @p106 (forall (@list @t1 @t3 @t7) (or @t73 (= (tptp.hAPP @t75 (tptp.c_List_Ofoldl @t63 @t60 @t7 @t1 @t1)) (tptp.c_List_Ofoldl @t63 @t3 @t7 @t1 @t1))))) % 0.93/1.28 (assume @p107 (forall (@list @t42 @t41 @t40 @t1) (= (tptp.c_List_Ofoldl @t42 @t41 @t119 @t1 @t40) @t41))) % 0.93/1.28 (assume @p108 (forall (@list @t31 @t158 @t56) (or (not (= @t31 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t160 @t56 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) (= @t160 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t160 (tptp.c_List_Oappend @t56 @t159 tptp.tc_Lambda_OdB) tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))))) % 0.93/1.28 (assume @p109 (forall @t14 (= (tptp.c_Predicate_Oconversep @t161 @t1 @t1) @t161))) % 0.93/1.28 (assume @p110 (forall @t111 (or @t110 (tptp.c_HOL_Oord__class_Oless @t60 @t91 @t1) (not (tptp.c_HOL_Oord__class_Oless @t60 @t83 @t1)) @t62))) % 0.93/1.28 (assume @p111 (forall @t162 (or @t50 @t21 @t93))) % 0.93/1.28 (assume @p112 (forall (@list @t1 @t41 @t86 @t83 @t82) (or @t165 (tptp.c_HOL_Oord__class_Oless @t87 @t85 @t1) (not (tptp.c_HOL_Oord__class_Oless @t86 @t82 @t1)) @t164))) % 0.93/1.28 (assume @p113 (forall (@list @t1 @t95 @t94) (not (= @t12 @t96)))) % 0.93/1.28 (assume @p114 (forall @t152 (or @t81 @t167 (not @t166)))) % 0.93/1.28 (assume @p115 (forall @t152 (or @t81 @t166 (not @t167)))) % 0.93/1.28 (assume @p116 (forall (@list @t31 @t158 @t54) (or (not (= @t160 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t54 @t53 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) (= @t160 @t54)))) % 0.93/1.28 (assume @p117 (forall @t101 (or @t81 (tptp.c_HOL_Oord__class_Oless @t83 @t87 @t1) (not (tptp.c_HOL_Oord__class_Oless @t83 @t86 @t1)) @t62))) % 0.93/1.28 (assume @p118 (forall (@list @t42 @t3 @t4 @t40 @t41 @t1) (= (tptp.c_List_Ofoldr @t42 @t118 @t41 @t40 @t1) (tptp.hAPP (tptp.hAPP @t42 @t3) (tptp.c_List_Ofoldr @t42 @t4 @t41 @t40 @t1))))) % 0.93/1.28 (assume @p119 (forall (@list @t31 @t1 @t40) (= (tptp.c_Predicate_Oconversep @t124 @t40 @t1) @t31))) % 0.93/1.28 (assume @p120 (forall @t169 (or @t165 @t168 @t164))) % 0.93/1.28 (assume @p121 (forall @t169 (or @t170 @t168 @t164))) % 0.93/1.28 (assume @p122 (forall @t103 (or @t170 @t163 (not @t168)))) % 0.93/1.28 (assume @p123 (forall @t172 (or @t165 @t171 @t164))) % 0.93/1.28 (assume @p124 (forall @t172 (or @t170 @t171 @t164))) % 0.93/1.28 (assume @p125 (forall @t103 (or @t170 @t163 (not @t171)))) % 0.93/1.28 (assume @p126 (forall @t175 (or @t174 (= @t41 @t95)))) % 0.93/1.28 (assume @p127 (forall @t175 (or @t174 (= @t173 @t94)))) % 0.93/1.28 (assume @p128 (forall @t162 (or @t50 @t39 @t93))) % 0.93/1.28 (assume @p129 (forall (@list @t31 @t3 @t6 @t1 @t4) (or (tptp.c_ListOrder_Ostep1 @t31 (tptp.c_List_Olist_OCons @t3 @t6 @t1) @t22 @t1) @t51))) % 0.93/1.28 (assume @p130 (forall (@list @t54 @t2 @t120) (= (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t176) @t120) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t54 (tptp.c_List_Oappend @t2 (tptp.c_List_Olist_OCons @t120 @t53 tptp.tc_Lambda_OdB) tptp.tc_Lambda_OdB) tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.93/1.28 (assume @p131 (forall (@list @t31 @t158) (= @t160 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t160 @t53 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.93/1.28 (assume @p132 (forall (@list @t3 @t158 @t54) (or (= @t177 @t53) (= (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t54 @t3 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) @t158) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t54 @t177 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))))) % 0.93/1.28 (assume @p133 (forall (@list @t31 @t15 @t1 @t41) (or (tptp.c_Wellfounded_Oaccp @t31 @t15 @t1) (not (tptp.hBOOL (tptp.hAPP @t38 @t41))) @t139))) % 0.93/1.28 (assume @p134 (forall (@list @t31 @t41 @t1 @t83) (or @t138 @t130 (not @t142)))) % 0.93/1.28 (assume @p135 (forall (@list @t1 @t83 @t41) (or @t179 @t178 @t164))) % 0.93/1.28 (assume @p136 (forall @t184 (or @t179 @t183 @t181))) % 0.93/1.28 (assume @p137 (forall @t148 (or @t185 @t181 @t183))) % 0.93/1.28 (assume @p138 (forall @t188 (or @t187 (not (tptp.hBOOL (tptp.hAPP @t126 @t86))) (not (tptp.hBOOL (tptp.hAPP @t186 @t83)))))) % 0.93/1.28 (assume @p139 (forall @t188 (or @t187 (not (tptp.hBOOL (tptp.hAPP @t140 @t86))) @t130))) % 0.93/1.28 (assume @p140 (forall @t111 (or @t189 @t164 @t178))) % 0.93/1.28 (assume @p141 (forall (@list @t192 @t190) (not (= @t193 @t191)))) % 0.93/1.28 (assume @p142 (forall (@list @t195 @t194 @t192) (not (= @t196 @t193)))) % 0.93/1.28 (assume @p143 (forall (@list @t55 @t2 @t197 @t198) (or (tptp.c_Type_Otypings @t55 @t2 @t202) @t201))) % 0.93/1.28 (assume @p144 (forall (@list @t192 @t195 @t194) (not (= @t193 @t196)))) % 0.93/1.28 (assume @p145 (forall @t206 (or (tptp.c_Type_Otypings @t55 @t2 @t205) @t204))) % 0.93/1.28 (assume @p146 (forall (@list @t55 @t198 @t197 @t1 @t207) (or (= (tptp.hAPP (tptp.c_Type_Oshift @t55 @t198 @t197 @t1) @t207) (tptp.hAPP @t55 @t207)) @t208))) % 0.93/1.28 (assume @p147 (not (tptp.c_HOL_Oord__class_Oless @t112 @t112 tptp.tc_nat))) % 0.93/1.28 (assume @p148 (forall @t210 (or @t209 (= @t149 @t112)))) % 0.93/1.28 (assume @p149 (forall @t216 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t211 @t215) @t214)) @t212))) % 0.93/1.28 (assume @p150 (forall @t218 (or @t81 @t209 (not @t217)))) % 0.93/1.28 (assume @p151 (forall @t218 (or @t81 @t217 (not @t209)))) % 0.93/1.28 (assume @p152 (forall (@list @t1 @t4) (or @t73 (= (tptp.c_List_Ofoldl @t63 @t60 @t4 @t1 @t1) @t219)))) % 0.93/1.28 (assume @p153 (forall @t222 (or @t221 (= @t158 @t220)))) % 0.93/1.28 (assume @p154 (forall @t227 (or @t226 @t223))) % 0.93/1.28 (assume @p155 (forall @t227 (or @t226 @t228))) % 0.93/1.28 (assume @p156 (forall @t148 (or @t185 @t16 @t180 @t182))) % 0.93/1.28 (assume @p157 (forall @t184 (or @t185 @t182 @t16 @t180))) % 0.93/1.28 (assume @p158 (forall @t184 (or @t185 @t182 @t180 @t16))) % 0.93/1.28 (assume @p159 (forall (@list @t15 @t3) (or (tptp.c_HOL_Oord__class_Oless @t15 @t3 tptp.tc_nat) (tptp.c_HOL_Oord__class_Oless @t3 @t15 tptp.tc_nat) @t16))) % 0.93/1.28 (assume @p160 (forall (@list @t230 @t149 @t79) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t230 @t149) @t79)) @t229 @t150 @t166))) % 0.93/1.28 (assume @p161 (forall (@list @t149 @t79) (or @t229 @t166 @t150))) % 0.93/1.28 (assume @p162 (forall @t148 (or @t185 @t16 @t182 @t180))) % 0.93/1.28 (assume @p163 (forall @t184 (or @t157 @t182 @t180 @t16))) % 0.93/1.28 (assume @p164 (forall (@list @t31 @t225 @t213) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t31 @t225 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) @t215)) (not (tptp.c_ListOrder_Ostep1 tptp.c_Lambda_Obeta @t225 @t213 tptp.tc_Lambda_OdB))))) % 0.93/1.28 (assume @p165 (forall @t78 (or @t179 @t231))) % 0.93/1.28 (assume @p166 (forall @t78 (or @t185 @t231))) % 0.93/1.28 (assume @p167 (forall @t78 (or @t189 @t231))) % 0.93/1.28 (assume @p168 (forall @t210 (not (tptp.c_HOL_Oord__class_Oless @t149 @t149 tptp.tc_nat)))) % 0.93/1.28 (assume @p169 (forall (@list @t3) (not @t232))) % 0.93/1.28 (assume @p170 (forall @t235 (or @t234 @t233))) % 0.93/1.28 (assume @p171 (forall (@list @t236 @t192) (or (not (= (tptp.c_Lambda_OdB_OAbs @t236) @t193)) (= @t236 @t192)))) % 0.93/1.28 (assume @p172 (forall (@list @t149 @t2 @t31 @t213) (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t237 @t2 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t220 @t213 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))))) % 0.93/1.28 (assume @p173 (forall @t235 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t239)) (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t158))) (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t238)))))) % 0.93/1.28 (assume @p174 (forall @t117 (or @t241 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t31 @t3) @t15)))))) % 0.93/1.28 (assume @p175 (forall (@list @t190 @t192) (not (= @t191 @t193)))) % 0.93/1.28 (assume @p176 (forall (@list @t31 @t1 @t3 @t104 @t15) (or (tptp.hBOOL (tptp.hAPP @t240 @t104)) (not (tptp.hBOOL (tptp.hAPP @t114 @t104))) (not @t241)))) % 0.93/1.28 (assume @p177 (forall (@list @t31 @t1 @t3) (tptp.hBOOL (tptp.hAPP @t240 @t3)))) % 0.93/1.28 (assume @p178 (forall (@list @t31 @t1 @t41) (tptp.hBOOL (tptp.hAPP @t186 @t41)))) % 0.93/1.28 (assume @p179 (tptp.c_Type_Otyping tptp.v_ea______ tptp.v_ua______ tptp.v_T____)) % 0.93/1.28 (assume @p180 (forall (@list @t158 @t242) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t211 @t224) (tptp.c_Lambda_OdB_OAbs @t242))) @t243))) % 0.93/1.28 (assume @p181 (forall @t235 (or (not (tptp.c_Wellfounded_Oaccp @t145 @t238 tptp.tc_Lambda_OdB)) (not (tptp.c_Wellfounded_Oaccp @t145 @t158 tptp.tc_Lambda_OdB)) (tptp.c_Wellfounded_Oaccp @t145 @t239 tptp.tc_Lambda_OdB)))) % 0.93/1.28 (assume @p182 (forall (@list @t1 @t3 @t104 @t15) (or @t179 (tptp.c_HOL_Oord__class_Oless @t3 @t104 @t1) (not (tptp.c_HOL_Oord__class_Oless @t15 @t104 @t1)) @t181))) % 0.93/1.28 (assume @p183 (forall (@list @t1 @t104 @t3 @t15) (or @t189 (tptp.c_HOL_Oord__class_Oless @t104 @t3 @t1) (not (tptp.c_HOL_Oord__class_Oless @t104 @t15 @t1)) @t183))) % 0.93/1.28 (assume @p184 (forall @t245 (= @t244 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t244 @t53 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.93/1.28 (assume @p185 (forall @t245 (not (tptp.c_HOL_Oord__class_Oless @t79 @t112 tptp.tc_nat)))) % 0.93/1.28 (assume @p186 (forall @t210 (not (tptp.c_HOL_Oord__class_Oless @t149 @t112 tptp.tc_nat)))) % 0.93/1.28 (assume @p187 (forall @t206 (or (tptp.c_Type_Otypings @t55 @t2 @t246) @t204))) % 0.93/1.28 (assume @p188 (forall @t147 (= @t220 @t247))) % 0.93/1.28 (assume @p189 (forall @t235 (or @t234 (= @t220 @t158)))) % 0.93/1.28 (assume @p190 (forall (@list @t1 @t41 @t4) (or @t73 (= @t154 (tptp.hAPP @t64 @t219))))) % 0.93/1.28 (assume @p191 (forall @t222 (or @t221 @t233))) % 0.93/1.28 (assume @p192 (forall (@list @t31 @t2 @t158) (or (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t31 @t2 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t158 @t2 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) @t223))) % 0.93/1.28 (assume @p193 (forall (@list @t55 @t8 @t197 @t250 @t198 @t2 @t52) (or (tptp.c_Type_Otypings @t55 @t8 @t252) @t251 @t249 @t248))) % 0.93/1.28 (assume @p194 (forall @t147 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t220)) @t253))) % 0.93/1.28 (assume @p195 (= tptp.v_rs____ (tptp.c_List_Olist_OCons tptp.v_a____ tptp.v_as____ tptp.tc_Lambda_OdB))) % 0.93/1.28 (assume @p196 (forall @t147 (= @t247 @t220))) % 0.93/1.28 (assume @p197 (forall @t255 (or @t254 @t233))) % 0.93/1.28 (assume @p198 (forall (@list @t225 @t149 @t256) (or (tptp.c_ListOrder_Ostep1 tptp.c_Lambda_Obeta @t225 @t259 tptp.tc_Lambda_OdB) @t258))) % 0.93/1.28 (assume @p199 (forall (@list @t158 @t54 @t149 @t213) (not (= @t261 @t260)))) % 0.93/1.28 (assume @p200 (forall (@list @t31 @t1) (= (tptp.c_Transitive__Closure_Ortranclp @t113 @t1) @t113))) % 0.93/1.28 (assume @p201 (forall @t264 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t224) @t263)) @t262))) % 0.93/1.28 (assume @p202 (forall (@list @t266 @t265 @t190) (not (= @t267 @t191)))) % 0.93/1.28 (assume @p203 (forall (@list @t55 @t54 @t197 @t120) (or (tptp.c_Type_Otyping @t55 @t54 (tptp.hAPP (tptp.hAPP tptp.c_Type_Otype_OFun @t271) @t197)) @t270))) % 0.93/1.28 (assume @p204 (forall @t272 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.hAPP @t268 @t199))) @t144))) % 0.93/1.28 (assume @p205 (forall @t273 (or (tptp.c_Type_Otyping @t55 @t54 (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun @t205 @t197 tptp.tc_Type_Otype tptp.tc_Type_Otype)) @t204))) % 0.93/1.28 (assume @p206 (forall @t277 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t276) @t275)) @t274))) % 0.93/1.28 (assume @p207 (forall (@list @t198 @t278) (or (= (tptp.c_Lambda_Olift @t199 @t278) @t199) (not (tptp.c_HOL_Oord__class_Oless @t198 @t278 tptp.tc_nat))))) % 0.93/1.28 (assume @p208 (forall @t283 (or @t282 @t281 @t280))) % 0.93/1.28 (assume @p209 (forall (@list @t158 @t120 @t54) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta (tptp.hAPP @t284 @t120)) @t269)) @t262))) % 0.93/1.28 (assume @p210 (forall (@list @t120 @t158 @t54) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta (tptp.hAPP @t285 @t158)) (tptp.hAPP @t285 @t54))) @t262))) % 0.93/1.28 (assume @p211 (forall (@list @t158 @t54 @t242 @t279) (or (tptp.hBOOL (tptp.hAPP @t288 (tptp.hAPP @t286 @t279))) @t280 @t243))) % 0.93/1.28 (assume @p212 (forall (@list @t158 @t54 @t242) (or (tptp.hBOOL (tptp.hAPP @t288 (tptp.hAPP @t286 @t54))) @t243))) % 0.93/1.28 (assume @p213 (forall (@list @t158 @t54 @t279) (or (tptp.hBOOL (tptp.hAPP @t288 (tptp.hAPP @t284 @t279))) @t280))) % 0.93/1.28 (assume @p214 (= tptp.v_T____ @t290)) % 0.93/1.28 (assume @p215 (forall (@list @t3 @t158) (or @t232 (= (tptp.c_Lambda_Osubst @t291 @t158 @t3) @t158)))) % 0.93/1.28 (assume @p216 (forall (@list @t55 @t120 @t197 @t54) (or (tptp.c_Type_Otyping @t55 @t120 @t271) @t270))) % 0.93/1.28 (assume @p217 (forall (@list @t256 @t149 @t225) (or (= @t256 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t237 @t259 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) @t258))) % 0.93/1.28 (assume @p218 (forall (@list @t55 @t54 @t2 @t197 @t52) (or @t203 @t249 (not (tptp.c_Type_Otyping @t55 @t54 (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun @t52 @t197 tptp.tc_Type_Otype tptp.tc_Type_Otype)))))) % 0.93/1.28 (assume @p219 (tptp.c_Type_Otyping @t294 @t293 tptp.v_T_H____)) % 0.93/1.28 (assume @p220 (forall (@list @t55 @t198 @t197 @t2) (or (tptp.c_Type_Otyping @t55 @t199 (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun @t202 @t197 tptp.tc_Type_Otype tptp.tc_Type_Otype)) @t201))) % 0.93/1.28 (assume @p221 (forall (@list @t198 @t158 @t278) (or (= (tptp.c_Lambda_Osubst @t199 @t158 @t278) @t199) (= @t198 @t278) (tptp.c_HOL_Oord__class_Oless @t278 @t198 tptp.tc_nat)))) % 0.93/1.28 (assume @p222 (forall @t273 (or (tptp.c_Type_Otyping @t55 @t54 (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun @t246 @t197 tptp.tc_Type_Otype tptp.tc_Type_Otype)) @t204))) % 0.93/1.28 (assume @p223 (tptp.c_Type_Otypings @t294 tptp.v_as____ tptp.v_Ts____)) % 0.93/1.28 (assume @p224 (tptp.c_Type_Otyping @t294 (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t292) tptp.v_a____) @t289)) % 0.93/1.28 (assume @p225 (tptp.c_Type_Otyping @t294 @t292 @t290)) % 0.93/1.28 (assume @p226 (forall @t296 (or @t295 @t274))) % 0.93/1.28 (assume @p227 (tptp.c_Type_Otyping (tptp.c_Type_Oshift tptp.v_ea______ tptp.v_ia______ tptp.v_T____ tptp.tc_Type_Otype) @t293 tptp.v_T_Ha______)) % 0.93/1.28 (assume @p228 (forall (@list @t158 @t54 @t278) (= (tptp.c_Lambda_Olift @t287 @t278) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Olift @t158 @t278)) @t297)))) % 0.93/1.28 (assume @p229 (forall @t300 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t211 @t299) @t298)) @t212))) % 0.93/1.28 (assume @p230 (forall @t296 (or @t295 @t212))) % 0.93/1.28 (assume @p231 (forall @t210 (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t237)))) % 0.93/1.28 (assume @p232 (forall (@list @t301 @t54 @t197 @t250) (or (tptp.c_Type_Otyping @t301 @t263 @t302) (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t301 @t112 @t197 tptp.tc_Type_Otype) @t54 @t250))))) % 0.93/1.28 (assume @p233 (forall (@list @t55 @t3 @t197 @t1) (= (tptp.hAPP (tptp.c_Type_Oshift @t55 @t3 @t197 @t1) @t3) @t197))) % 0.93/1.28 (assume @p234 (forall @t310 (or @t309 @t307 (not (tptp.c_Type_Otyping @t55 @t120 @t304)) @t305 (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t55 @t198 @t304 tptp.tc_Type_Otype) @t54 @t303)) @t144))) % 0.93/1.28 (assume @p235 (forall @t310 (or @t309 @t307 (not (tptp.c_Type_Otyping @t55 @t120 @t308)) @t305 (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t55 @t198 @t308 tptp.tc_Type_Otype) @t54 @t303)) @t144))) % 0.93/1.28 (assume @p236 (forall @t272 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t311)) @t144))) % 0.93/1.28 (assume @p237 (forall (@list @t190 @t266 @t265) (not (= @t191 @t267)))) % 0.93/1.28 (assume @p238 (forall @t255 (or @t254 (= @t244 @t158)))) % 0.93/1.28 (assume @p239 (forall @t216 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t215) @t214)) @t274))) % 0.93/1.28 (assume @p240 (forall @t264 (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t261) (tptp.c_Lambda_Osubst @t158 @t54 @t112))))) % 0.93/1.28 (assume @p241 (forall @t277 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t211 @t276) @t275)) @t212))) % 0.93/1.28 (assume @p242 (forall (@list @t197 @t250 @t55 @t198 @t2) (or (= @t197 @t250) @t251 @t201))) % 0.93/1.28 (assume @p243 (forall @t313 (or @t312 (= @t194 @t265)))) % 0.93/1.28 (assume @p244 (forall @t313 (or @t312 (= @t195 @t266)))) % 0.93/1.28 (assume @p245 (forall (@list @t149 @t225) (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t257)) (not (tptp.c_List_Olistsp tptp.c_InductTermi_OIT @t225 tptp.tc_Lambda_OdB))))) % 0.93/1.28 (assume @p246 (forall (@list @t301 @t158 @t54 @t250 @t197) (or (tptp.c_Type_Otyping @t301 @t287 @t250) (not (tptp.c_Type_Otyping @t301 @t54 @t197)) (not (tptp.c_Type_Otyping @t301 @t158 @t302))))) % 0.93/1.28 (assume @p247 (forall (@list @t198 @t54) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t199) @t54))))) % 0.93/1.28 (assume @p248 (forall (@list @t250 @t197 @t55 @t8 @t198 @t2 @t52) (or (= @t250 (tptp.c_List_Ofoldr tptp.c_Type_Otype_OFun @t252 @t197 tptp.tc_Type_Otype tptp.tc_Type_Otype)) @t251 @t249 @t248))) % 0.93/1.28 (assume @p249 (forall (@list @t207 @t120 @t198) (or (= (tptp.c_Lambda_Osubst @t314 @t120 @t198) @t314) @t208))) % 0.93/1.28 (assume @p250 (forall (@list @t31 @t198 @t207) (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst @t31 @t199 @t207))) @t253))) % 0.93/1.28 (assume @p251 (forall @t320 (or @t319 (= @t316 @t315)))) % 0.93/1.28 (assume @p252 (forall @t320 (or @t319 (= @t318 @t317)))) % 0.93/1.28 (assume @p253 (forall @t322 (or @t321 @t228))) % 0.93/1.28 (assume @p254 (forall @t322 (or @t321 @t150))) % 0.93/1.28 (assume @p255 (forall (@list @t190 @t323) (or (not (= @t191 (tptp.c_Lambda_OdB_OVar @t323))) (= @t190 @t323)))) % 0.93/1.28 (assume @p256 (forall (@list @t55 @t198 @t250 @t54 @t197) (or (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t55 @t198 @t250 tptp.tc_Type_Otype) @t311 @t197) @t281))) % 0.93/1.28 (assume @p257 @t324) % 0.93/1.28 (assume @p258 (forall (@list @t54 @t120 @t158 @t278) (= (tptp.c_Lambda_Osubst @t269 @t158 @t278) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Osubst @t54 @t158 @t278)) (tptp.c_Lambda_Osubst @t120 @t158 @t278))))) % 0.93/1.28 (assume @p259 (forall @t283 (or @t282 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t54) @t279))) @t281))) % 0.93/1.28 (assume @p260 (forall (@list @t278 @t120) (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OVar @t278) @t120 @t278) @t120))) % 0.93/1.28 (assume @p261 (tptp.c_Type_Otyping tptp.v_e____ tptp.v_u____ @t290)) % 0.93/1.28 (assume @p262 @t325) % 0.93/1.28 (assume @p263 (= tptp.v_n____ tptp.v_i____)) % 0.93/1.28 (assume @p264 (forall (@list @t55 @t198 @t197) (or (= (tptp.hAPP @t55 @t198) @t197) (not (tptp.c_Type_Otyping @t55 @t199 @t197))))) % 0.93/1.28 (assume @p265 (forall @t300 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t299) @t298)) @t274))) % 0.93/1.28 (assume @p266 (forall (@list @t301 @t3) (tptp.c_Type_Otyping @t301 @t291 (tptp.hAPP @t301 @t3)))) % 0.93/1.28 (assume @p267 (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT tptp.v_u____))) % 0.93/1.28 (assume @p268 (forall (@list @t54 @t278 @t158) (= (tptp.c_Lambda_Osubst @t297 @t158 @t278) @t54))) % 0.93/1.28 (assume @p269 @t327) % 0.93/1.28 (assume @p270 (not @t328)) % 0.93/1.28 (assume @p271 (forall @t332 (or (tptp.class_Orderings_Opreorder @t331) (not (tptp.class_Orderings_Opreorder @t329))))) % 0.93/1.28 (assume @p272 (forall @t332 (or (tptp.class_Orderings_Oorder @t331) (not (tptp.class_Orderings_Oorder @t329))))) % 0.93/1.28 (assume @p273 (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add tptp.tc_nat)) % 0.93/1.28 (assume @p274 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le tptp.tc_nat)) % 0.93/1.28 (assume @p275 (tptp.class_OrderedGroup_Opordered__comm__monoid__add tptp.tc_nat)) % 0.93/1.28 (assume @p276 (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add tptp.tc_nat)) % 0.93/1.28 (assume @p277 (tptp.class_OrderedGroup_Ocancel__semigroup__add tptp.tc_nat)) % 0.93/1.28 (assume @p278 (tptp.class_Ring__and__Field_Oordered__semidom tptp.tc_nat)) % 0.93/1.28 (assume @p279 (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_nat)) % 0.93/1.28 (assume @p280 (tptp.class_OrderedGroup_Oab__semigroup__add tptp.tc_nat)) % 0.93/1.28 (assume @p281 (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.tc_nat)) % 0.93/1.28 (assume @p282 (tptp.class_OrderedGroup_Osemigroup__add tptp.tc_nat)) % 0.93/1.28 (assume @p283 (tptp.class_Ring__and__Field_Osemiring__1 tptp.tc_nat)) % 0.93/1.28 (assume @p284 (tptp.class_OrderedGroup_Omonoid__add tptp.tc_nat)) % 0.93/1.28 (assume @p285 (tptp.class_Nat_Osemiring__char__0 tptp.tc_nat)) % 0.93/1.28 (assume @p286 (tptp.class_Orderings_Opreorder tptp.tc_nat)) % 0.93/1.28 (assume @p287 (tptp.class_Orderings_Olinorder tptp.tc_nat)) % 0.93/1.28 (assume @p288 (tptp.class_Orderings_Oorder tptp.tc_nat)) % 0.93/1.28 (assume @p289 (tptp.class_Orderings_Opreorder tptp.tc_bool)) % 0.93/1.28 (assume @p290 (tptp.class_Orderings_Oorder tptp.tc_bool)) % 0.93/1.28 (assume @p291 (forall @t78 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t161 @t3) @t3)))) % 0.93/1.28 (assume @p292 (forall (@list @t334 @t333 @t1) (or (= @t334 @t333) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t161 @t334) @t333)))))) % 0.93/1.28 (step @p293 :rule cnf_or_pos :args (@t337)) % 0.93/1.28 (step @p294 :rule reordering :premises (@p293) :args ((or @t328 @t336 @t335 @t338))) % 0.93/1.28 (step @p295 :rule chain_m_resolution :premises (@p294 @p270 @p257 @p262) :args (@t338 (@list true false false) (@list @t328 @t324 @t325))) % 0.93/1.28 (assume-push @p302 @t327) % 0.93/1.28 (step @p297 :rule instantiate :premises (@p269) :args ((@list tptp.v_e____ tptp.v_u____ tptp.v_T____ tptp.v_i____ tptp.v_a____ tptp.v_T_H_H____))) % 0.93/1.28 (step-pop @p303 :rule scope :premises (@p297)) % 0.93/1.28 (step @p298 :rule process_scope :premises (@p303) :args (@t337)) % 0.93/1.28 (step @p300 :rule implies_elim :premises (@p298)) % 0.93/1.28 (step @p301 false :rule chain_m_resolution :premises (@p300 @p295 @p269) :args (false (@list true false) (@list @t337 @t327))) % 0.93/1.28 ) % 0.93/1.28 % SZS output end Proof % 0.93/1.28 % cvc5 exiting %------------------------------------------------------------------------------