%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL858-1 : 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 : n012.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 11:24:03 AM UTC 2026 % Result : Unsatisfiable 0.15s 0.44s % Output : Proof 0.15s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.01 % Problem : LCL858-1 : TPTP v9.3.1. Released v4.1.0. % 0.00/0.02 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.04/0.30 % Computer : n012.cluster.edu % 0.04/0.30 % Model : x86_64 x86_64 % 0.04/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.04/0.30 % Memory : 8046.5625MB % 0.04/0.30 % OS : Linux 6.8.0-71-generic % 0.04/0.30 % CPULimit : 300 % 0.04/0.30 % WCLimit : 300 % 0.04/0.30 % DateTime : Sat Sep 5 03:08:57 UTC 2026 % 0.04/0.30 % CPUTime : % 0.07/0.36 %----Proving TF0_NAR, FOF, or CNF % 0.07/0.37 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.15/0.44 % SZS status Unsatisfiable % 0.15/0.44 % SZS output start Proof % 0.15/0.45 ( % 0.15/0.45 (declare-sort $$unsorted 0) % 0.15/0.45 (declare-const tptp.v_t $$unsorted) % 0.15/0.45 (declare-const tptp.t_a $$unsorted) % 0.15/0.45 (declare-const tptp.v_sko__Wellfounded__Xaccp__Xinducts__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.15/0.45 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xaccp__Xintros__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.15/0.45 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xnot__accp__down__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.15/0.45 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.15/0.45 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted)) % 0.15/0.45 (declare-const tptp.c_Predicate_Opred__comp (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.15/0.45 (declare-const tptp.class_Lattices_Olower__semilattice (-> $$unsorted Bool)) % 0.15/0.45 (declare-const tptp.c_Transitive__Closure_Otranclp (-> $$unsorted $$unsorted $$unsorted)) % 0.15/0.45 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__XaccpI__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.15/0.45 (declare-const tptp.c_Type_Otyping (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.15/0.45 (declare-const tptp.c_Wellfounded_OwfP (-> $$unsorted $$unsorted Bool)) % 0.15/0.45 (declare-const tptp.c_Lambda_OdB_OApp $$unsorted) % 0.15/0.45 (declare-const tptp.c_List_Ofoldl (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.15/0.45 (declare-const tptp.c_List_Olistsp (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.15/0.45 (declare-const tptp.c_List_Olist_ONil (-> $$unsorted $$unsorted)) % 0.15/0.45 (declare-const tptp.tc_List_Olist (-> $$unsorted $$unsorted)) % 0.15/0.45 (declare-const tptp.c_List_Olist_OCons (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.15/0.45 (declare-const tptp.c_Type_Otype_OFun (-> $$unsorted $$unsorted $$unsorted)) % 0.15/0.45 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 0.15/0.45 (declare-const tptp.c_Lattices_Oupper__semilattice__class_Osup (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.15/0.45 (declare-const tptp.c_Lambda_OdB_OVar (-> $$unsorted $$unsorted)) % 0.15/0.45 (declare-const tptp.class_Lattices_Oupper__semilattice (-> $$unsorted Bool)) % 0.15/0.45 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 0.15/0.45 (declare-const tptp.c_Lambda_Olift (-> $$unsorted $$unsorted $$unsorted)) % 0.15/0.45 (declare-const tptp.class_Lattices_Odistrib__lattice (-> $$unsorted Bool)) % 0.15/0.45 (declare-const tptp.c_Wellfounded_Oaccp (-> $$unsorted $$unsorted $$unsorted)) % 0.15/0.45 (declare-const tptp.c_Lattices_Olower__semilattice__class_Oinf (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.15/0.45 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 0.15/0.45 (declare-const tptp.tc_Type_Otype $$unsorted) % 0.15/0.45 (declare-const tptp.c_ListOrder_Ostep1 (-> $$unsorted $$unsorted $$unsorted)) % 0.15/0.45 (declare-const tptp.tc_bool $$unsorted) % 0.15/0.45 (declare-const tptp.c_Type_Oshift (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.15/0.45 (declare-const tptp.tc_Lambda_OdB $$unsorted) % 0.15/0.45 (declare-const tptp.c_Lambda_Obeta $$unsorted) % 0.15/0.45 (declare-const tptp.c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__rule__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.15/0.45 (declare-const tptp.c_Transitive__Closure_Ortranclp (-> $$unsorted $$unsorted $$unsorted)) % 0.15/0.45 (declare-const tptp.c_Lambda_Osubst (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.15/0.45 (declare-const tptp.class_Lattices_Olattice (-> $$unsorted Bool)) % 0.15/0.45 (declare-const tptp.c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.15/0.45 (declare-const tptp.c_Lambda_OdB_OAbs (-> $$unsorted $$unsorted)) % 0.15/0.45 (declare-const tptp.tc_nat $$unsorted) % 0.15/0.45 (declare-const tptp.c_Predicate_Oconversep (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.15/0.45 (declare-const tptp.c_HOL_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 0.15/0.45 (declare-const tptp.c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.15/0.45 (declare-const tptp.v_sko__Wellfounded__Xaccp__Xinduct__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.15/0.45 (declare-const tptp.c_InductTermi_OIT $$unsorted) % 0.15/0.45 (define @t1 () (@var "V_xs" $$unsorted)) % 0.15/0.45 (define @t2 () (@var "V_ys" $$unsorted)) % 0.15/0.45 (define @t3 () (@var "T_a" $$unsorted)) % 0.15/0.45 (define @t4 () (@var "V_r" $$unsorted)) % 0.15/0.45 (define @t5 () (tptp.c_ListOrder_Ostep1 @t4 @t3)) % 0.15/0.45 (define @t6 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5 @t2) @t1))) % 0.15/0.45 (define @t7 () (@var "V_x" $$unsorted)) % 0.15/0.45 (define @t8 () (tptp.c_List_Olist_OCons @t7 @t1 @t3)) % 0.15/0.45 (define @t9 () (@var "V_y" $$unsorted)) % 0.15/0.45 (define @t10 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5 (tptp.c_List_Olist_OCons @t9 @t2 @t3)) @t8)))) % 0.15/0.45 (define @t11 () (tptp.hAPP @t4 @t9)) % 0.15/0.45 (define @t12 () (tptp.hBOOL (tptp.hAPP @t11 @t7))) % 0.15/0.45 (define @t13 () (@list @t4 @t3 @t2 @t1 @t9 @t7)) % 0.15/0.45 (define @t14 () (@var "V_list_H" $$unsorted)) % 0.15/0.45 (define @t15 () (@var "V_list" $$unsorted)) % 0.15/0.45 (define @t16 () (@var "V_a_H" $$unsorted)) % 0.15/0.45 (define @t17 () (tptp.c_List_Olist_OCons @t16 @t14 @t3)) % 0.15/0.45 (define @t18 () (@var "V_a" $$unsorted)) % 0.15/0.45 (define @t19 () (not (= (tptp.c_List_Olist_OCons @t18 @t15 @t3) @t17))) % 0.15/0.45 (define @t20 () (@list @t18 @t15 @t3 @t16 @t14)) % 0.15/0.45 (define @t21 () (tptp.c_List_Olist_ONil @t3)) % 0.15/0.45 (define @t22 () (= @t1 @t2)) % 0.15/0.45 (define @t23 () (@var "V_xa" $$unsorted)) % 0.15/0.45 (define @t24 () (= @t7 @t9)) % 0.15/0.45 (define @t25 () (@var "T_b" $$unsorted)) % 0.15/0.45 (define @t26 () (@var "V_f" $$unsorted)) % 0.15/0.45 (define @t27 () (@var "V_t" $$unsorted)) % 0.15/0.45 (define @t28 () (tptp.c_Wellfounded_Oaccp @t4 @t3)) % 0.15/0.45 (define @t29 () (tptp.hBOOL (tptp.hAPP @t28 @t7))) % 0.15/0.45 (define @t30 () (tptp.c_Wellfounded_Oaccp @t5 (tptp.tc_List_Olist @t3))) % 0.15/0.45 (define @t31 () (tptp.hBOOL (tptp.hAPP @t30 @t1))) % 0.15/0.45 (define @t32 () (not @t31)) % 0.15/0.45 (define @t33 () (@var "V_type2_H" $$unsorted)) % 0.15/0.45 (define @t34 () (@var "V_type2" $$unsorted)) % 0.15/0.45 (define @t35 () (@var "V_type1_H" $$unsorted)) % 0.15/0.45 (define @t36 () (@var "V_type1" $$unsorted)) % 0.15/0.45 (define @t37 () (not (= (tptp.c_Type_Otype_OFun @t36 @t34) (tptp.c_Type_Otype_OFun @t35 @t33)))) % 0.15/0.45 (define @t38 () (@list @t36 @t34 @t35 @t33)) % 0.15/0.45 (define @t39 () (@var "V_U" $$unsorted)) % 0.15/0.45 (define @t40 () (@var "V_T" $$unsorted)) % 0.15/0.45 (define @t41 () (tptp.c_Type_Otype_OFun @t40 @t39)) % 0.15/0.45 (define @t42 () (@var "V_s" $$unsorted)) % 0.15/0.45 (define @t43 () (@var "V_env" $$unsorted)) % 0.15/0.45 (define @t44 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t42)) % 0.15/0.45 (define @t45 () (tptp.hAPP @t44 @t27)) % 0.15/0.45 (define @t46 () (@var "V_e" $$unsorted)) % 0.15/0.45 (define @t47 () (not (tptp.c_Type_Otyping @t46 @t27 @t40))) % 0.15/0.45 (define @t48 () (@var "V_i" $$unsorted)) % 0.15/0.45 (define @t49 () (tptp.c_Lambda_Olift @t27 @t48)) % 0.15/0.45 (define @t50 () (tptp.c_Type_Oshift @t46 @t48 @t39 tptp.tc_Type_Otype)) % 0.15/0.45 (define @t51 () (tptp.c_Transitive__Closure_Ortranclp tptp.c_Lambda_Obeta tptp.tc_Lambda_OdB)) % 0.15/0.45 (define @t52 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t51 @t4) @t42)))) % 0.15/0.45 (define @t53 () (tptp.c_Lambda_Olift @t42 @t48)) % 0.15/0.45 (define @t54 () (tptp.c_Lambda_Olift @t4 @t48)) % 0.15/0.45 (define @t55 () (@list @t4 @t48 @t42)) % 0.15/0.45 (define @t56 () (@var "V_u" $$unsorted)) % 0.15/0.45 (define @t57 () (tptp.c_Lambda_Osubst @t27 @t56 @t48)) % 0.15/0.45 (define @t58 () (@var "V_e_H" $$unsorted)) % 0.15/0.45 (define @t59 () (@var "V_t_H" $$unsorted)) % 0.15/0.45 (define @t60 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t51 @t27) @t59)))) % 0.15/0.45 (define @t61 () (tptp.c_Type_Otyping @t46 @t59 @t40)) % 0.15/0.45 (define @t62 () (@list @t46 @t59 @t40 @t27)) % 0.15/0.45 (define @t63 () (@var "V_v" $$unsorted)) % 0.15/0.45 (define @t64 () (@var "V_rs" $$unsorted)) % 0.15/0.45 (define @t65 () (@var "V_n" $$unsorted)) % 0.15/0.45 (define @t66 () (tptp.c_Lambda_OdB_OVar @t65)) % 0.15/0.45 (define @t67 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t66 @t64 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.15/0.45 (define @t68 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t67) @t63)))) % 0.15/0.45 (define @t69 () (tptp.c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1 @t65 @t64 @t63)) % 0.15/0.45 (define @t70 () (tptp.hAPP (tptp.c_ListOrder_Ostep1 tptp.c_Lambda_Obeta tptp.tc_Lambda_OdB) @t64)) % 0.15/0.45 (define @t71 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t51 (tptp.c_Lambda_Osubst @t27 @t4 @t48)) (tptp.c_Lambda_Osubst @t27 @t42 @t48)))) % 0.15/0.45 (define @t72 () (@list @t27 @t4 @t48 @t42)) % 0.15/0.45 (define @t73 () (tptp.c_Lambda_Osubst @t42 @t27 @t48)) % 0.15/0.45 (define @t74 () (tptp.c_Lambda_Osubst @t4 @t27 @t48)) % 0.15/0.45 (define @t75 () (@list @t4 @t27 @t48 @t42)) % 0.15/0.45 (define @t76 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t4) @t42)))) % 0.15/0.45 (define @t77 () (tptp.c_List_Olist_ONil tptp.tc_Lambda_OdB)) % 0.15/0.45 (define @t78 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t4) @t42)) % 0.15/0.45 (define @t79 () (@var "V_s_H" $$unsorted)) % 0.15/0.45 (define @t80 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t51 @t42) @t79)))) % 0.15/0.45 (define @t81 () (tptp.c_Lambda_OdB_OAbs @t42)) % 0.15/0.45 (define @t82 () (tptp.hAPP @t51 @t45)) % 0.15/0.45 (define @t83 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t79)) % 0.15/0.45 (define @t84 () (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) % 0.15/0.45 (define @t85 () (tptp.c_Lambda_OdB_OAbs @t27)) % 0.15/0.45 (define @t86 () (tptp.c_List_Olistsp @t28 @t1 @t3)) % 0.15/0.45 (define @t87 () (@list @t4 @t3 @t1)) % 0.15/0.45 (define @t88 () (@var "V_A" $$unsorted)) % 0.15/0.45 (define @t89 () (@var "V_ts" $$unsorted)) % 0.15/0.45 (define @t90 () (@var "V_ss" $$unsorted)) % 0.15/0.45 (define @t91 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t4 @t90 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.15/0.45 (define @t92 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t42 @t90 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.15/0.45 (define @t93 () (@list @t4 @t90 @t42)) % 0.15/0.45 (define @t94 () (tptp.c_Lambda_OdB_OAbs @t4)) % 0.15/0.45 (define @t95 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t94 @t77 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.15/0.45 (define @t96 () (@list @t4)) % 0.15/0.45 (define @t97 () (= @t90 @t77)) % 0.15/0.45 (define @t98 () (not (= @t92 @t94))) % 0.15/0.45 (define @t99 () (@list @t42 @t90 @t4)) % 0.15/0.45 (define @t100 () (not (= @t94 @t92))) % 0.15/0.45 (define @t101 () (@list @t4 @t42 @t90)) % 0.15/0.45 (define @t102 () (@var "V_m" $$unsorted)) % 0.15/0.45 (define @t103 () (tptp.c_Lambda_OdB_OVar @t102)) % 0.15/0.45 (define @t104 () (not (= @t103 @t92))) % 0.15/0.45 (define @t105 () (@list @t102 @t42 @t90)) % 0.15/0.45 (define @t106 () (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t27))) % 0.15/0.45 (define @t107 () (not @t106)) % 0.15/0.45 (define @t108 () (@var "V_nat" $$unsorted)) % 0.15/0.45 (define @t109 () (tptp.c_Lambda_OdB_OVar @t108)) % 0.15/0.45 (define @t110 () (@var "V_dB2_H" $$unsorted)) % 0.15/0.45 (define @t111 () (@var "V_dB1_H" $$unsorted)) % 0.15/0.45 (define @t112 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t111) @t110)) % 0.15/0.45 (define @t113 () (tptp.c_Transitive__Closure_Ortranclp @t4 @t3)) % 0.15/0.45 (define @t114 () (@list @t4 @t3)) % 0.15/0.45 (define @t115 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t66 @t90 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.15/0.45 (define @t116 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t81) @t27)) % 0.15/0.45 (define @t117 () (tptp.tc_fun @t3 (tptp.tc_fun @t25 tptp.tc_bool))) % 0.15/0.45 (define @t118 () (@var "V_B" $$unsorted)) % 0.15/0.45 (define @t119 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Olower__semilattice__class_Oinf @t88 @t118 @t117) @t7) @t9))) % 0.15/0.45 (define @t120 () (not @t119)) % 0.15/0.45 (define @t121 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t88 @t7) @t9))) % 0.15/0.45 (define @t122 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t118 @t7) @t9))) % 0.15/0.45 (define @t123 () (@list @t118 @t7 @t9 @t88 @t3 @t25)) % 0.15/0.45 (define @t124 () (tptp.c_Lambda_OdB_OVar @t48)) % 0.15/0.45 (define @t125 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t27)) % 0.15/0.45 (define @t126 () (@list @t27 @t48)) % 0.15/0.45 (define @t127 () (@var "V_k" $$unsorted)) % 0.15/0.45 (define @t128 () (tptp.c_Lambda_Olift @t27 @t127)) % 0.15/0.45 (define @t129 () (@var "V_b" $$unsorted)) % 0.15/0.45 (define @t130 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4 @t18) @t129)))) % 0.15/0.45 (define @t131 () (tptp.c_Transitive__Closure_Otranclp @t4 @t3)) % 0.15/0.45 (define @t132 () (tptp.hAPP @t131 @t18)) % 0.15/0.45 (define @t133 () (tptp.hBOOL (tptp.hAPP @t132 @t129))) % 0.15/0.45 (define @t134 () (@list @t4 @t3 @t18 @t129)) % 0.15/0.45 (define @t135 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t7 @t9 @t3)) % 0.15/0.45 (define @t136 () (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t7 @t135 @t3) @t135)) % 0.15/0.45 (define @t137 () (not (tptp.class_Lattices_Olattice @t3))) % 0.15/0.45 (define @t138 () (@list @t3 @t7 @t9)) % 0.15/0.45 (define @t139 () (not (tptp.class_Lattices_Oupper__semilattice @t3))) % 0.15/0.45 (define @t140 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t9 @t7 @t3)) % 0.15/0.45 (define @t141 () (= @t135 @t140)) % 0.15/0.45 (define @t142 () (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t4))) % 0.15/0.45 (define @t143 () (not @t142)) % 0.15/0.45 (define @t144 () (= @t4 @t42)) % 0.15/0.45 (define @t145 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t9 @t7 @t3)) % 0.15/0.45 (define @t146 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t7 @t9 @t3)) % 0.15/0.45 (define @t147 () (= @t146 @t145)) % 0.15/0.45 (define @t148 () (not (tptp.class_Lattices_Olower__semilattice @t3))) % 0.15/0.45 (define @t149 () (@var "V_z" $$unsorted)) % 0.15/0.45 (define @t150 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t9 @t149 @t3)) % 0.15/0.45 (define @t151 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t7 @t150 @t3)) % 0.15/0.45 (define @t152 () (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t135 @t149 @t3) @t151)) % 0.15/0.45 (define @t153 () (@list @t3 @t7 @t9 @t149)) % 0.15/0.45 (define @t154 () (tptp.c_Lattices_Oupper__semilattice__class_Osup @t7 @t149 @t3)) % 0.15/0.45 (define @t155 () (= @t151 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t9 @t154 @t3))) % 0.15/0.45 (define @t156 () (@list @t3 @t7)) % 0.15/0.45 (define @t157 () (not (tptp.class_Lattices_Odistrib__lattice @t3))) % 0.15/0.45 (define @t158 () (@list @t3 @t9 @t149 @t7)) % 0.15/0.45 (define @t159 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t7 @t149 @t3)) % 0.15/0.45 (define @t160 () (@var "V_c" $$unsorted)) % 0.15/0.45 (define @t161 () (@var "T_c" $$unsorted)) % 0.15/0.45 (define @t162 () (not @t133)) % 0.15/0.45 (define @t163 () (tptp.hAPP @t113 @t129)) % 0.15/0.45 (define @t164 () (not (tptp.hBOOL (tptp.hAPP @t163 @t160)))) % 0.15/0.45 (define @t165 () (tptp.hBOOL (tptp.hAPP @t132 @t160))) % 0.15/0.45 (define @t166 () (@list @t4 @t3 @t18 @t160 @t129)) % 0.15/0.45 (define @t167 () (tptp.hAPP @t113 @t7)) % 0.15/0.45 (define @t168 () (tptp.hBOOL (tptp.hAPP @t167 @t9))) % 0.15/0.45 (define @t169 () (not @t168)) % 0.15/0.45 (define @t170 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t131 @t9) @t149)))) % 0.15/0.45 (define @t171 () (tptp.hAPP @t131 @t7)) % 0.15/0.45 (define @t172 () (tptp.hBOOL (tptp.hAPP @t171 @t149))) % 0.15/0.45 (define @t173 () (@list @t4 @t3 @t7 @t149 @t9)) % 0.15/0.45 (define @t174 () (tptp.hAPP @t113 @t18)) % 0.15/0.45 (define @t175 () (@list @t4 @t3 @t7)) % 0.15/0.45 (define @t176 () (tptp.hAPP @t113 @t9)) % 0.15/0.45 (define @t177 () (tptp.hBOOL (tptp.hAPP @t174 @t129))) % 0.15/0.45 (define @t178 () (not @t177)) % 0.15/0.45 (define @t179 () (tptp.hAPP @t4 @t129)) % 0.15/0.45 (define @t180 () (not (tptp.hBOOL (tptp.hAPP @t179 @t160)))) % 0.15/0.45 (define @t181 () (not (tptp.c_Wellfounded_OwfP @t4 @t3))) % 0.15/0.45 (define @t182 () (@var "V_dB_H" $$unsorted)) % 0.15/0.45 (define @t183 () (tptp.c_Lambda_OdB_OAbs @t182)) % 0.15/0.45 (define @t184 () (@list @t4 @t3 @t7 @t9)) % 0.15/0.45 (define @t185 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Lattices_Oupper__semilattice__class_Osup @t88 @t118 @t117) @t7) @t9))) % 0.15/0.45 (define @t186 () (not @t122)) % 0.15/0.45 (define @t187 () (@list @t88 @t118 @t3 @t25 @t7 @t9)) % 0.15/0.45 (define @t188 () (not @t121)) % 0.15/0.45 (define @t189 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Osubst @t4 @t42 @t84) @t90 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.15/0.45 (define @t190 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t94) @t42) @t90 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.15/0.45 (define @t191 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t9 @t149 @t3)) % 0.15/0.45 (define @t192 () (tptp.c_Lattices_Olower__semilattice__class_Oinf @t7 @t191 @t3)) % 0.15/0.45 (define @t193 () (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t146 @t149 @t3) @t192)) % 0.15/0.45 (define @t194 () (= @t192 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t9 @t159 @t3))) % 0.15/0.45 (define @t195 () (@var "V_dB" $$unsorted)) % 0.15/0.45 (define @t196 () (@list @t42 @t27)) % 0.15/0.45 (define @t197 () (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t124 @t89 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) % 0.15/0.45 (define @t198 () (@var "V_dB2" $$unsorted)) % 0.15/0.45 (define @t199 () (@var "V_dB1" $$unsorted)) % 0.15/0.45 (define @t200 () (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp @t199) @t198)) % 0.15/0.45 (define @t201 () (not (= @t200 @t112))) % 0.15/0.45 (define @t202 () (@list @t199 @t198 @t111 @t110)) % 0.15/0.45 (define @t203 () (= @t64 @t90)) % 0.15/0.45 (define @t204 () (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t94 @t64 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t81 @t90 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.15/0.45 (define @t205 () (@list @t4 @t64 @t42 @t90)) % 0.15/0.45 (define @t206 () (@var "V_R" $$unsorted)) % 0.15/0.45 (define @t207 () (tptp.c_Transitive__Closure_Ortranclp @t206 @t3)) % 0.15/0.45 (define @t208 () (tptp.tc_fun @t3 tptp.tc_bool)) % 0.15/0.45 (define @t209 () (tptp.tc_fun @t3 @t208)) % 0.15/0.45 (define @t210 () (tptp.c_fequal @t3)) % 0.15/0.45 (define @t211 () (= @t18 @t129)) % 0.15/0.45 (define @t212 () (@var "V_S" $$unsorted)) % 0.15/0.45 (define @t213 () (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t7 @t146 @t3) @t146)) % 0.15/0.45 (define @t214 () (@var "V_j" $$unsorted)) % 0.15/0.45 (define @t215 () (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t103 @t64 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) @t115))) % 0.15/0.45 (define @t216 () (@list @t102 @t64 @t65 @t90)) % 0.15/0.45 (define @t217 () (@var "V_nat_H" $$unsorted)) % 0.15/0.45 (define @t218 () (tptp.hAPP @t125 @t56)) % 0.15/0.45 (define @t219 () (tptp.hBOOL (tptp.hAPP @t174 @t160))) % 0.15/0.45 (define @t220 () (tptp.hBOOL (tptp.hAPP @t28 @t129))) % 0.15/0.45 (define @t221 () (tptp.hBOOL (tptp.hAPP @t28 @t18))) % 0.15/0.45 (define @t222 () (not @t221)) % 0.15/0.45 (define @t223 () (@var "V_P" $$unsorted)) % 0.15/0.45 (define @t224 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__1__1 @t223 @t4 @t3)) % 0.15/0.45 (define @t225 () (tptp.hBOOL (tptp.hAPP @t223 @t18))) % 0.15/0.45 (define @t226 () (@list @t223 @t18 @t4 @t3)) % 0.15/0.45 (define @t227 () (tptp.hBOOL (tptp.hAPP @t223 @t9))) % 0.15/0.45 (define @t228 () (@list @t223 @t18 @t9 @t4 @t3)) % 0.15/0.45 (define @t229 () (tptp.c_Wellfounded_Oaccp @t206 @t3)) % 0.15/0.45 (define @t230 () (tptp.hBOOL (tptp.hAPP @t229 @t7))) % 0.15/0.45 (define @t231 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xnot__accp__down__1__1 @t206 @t7 @t3)) % 0.15/0.45 (define @t232 () (tptp.c_Predicate_Oconversep @t4 @t3 @t25)) % 0.15/0.45 (define @t233 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xaccp__Xintros__1__1 @t4 @t7 @t3)) % 0.15/0.45 (define @t234 () (tptp.c_Predicate_Oconversep @t4 @t3 @t3)) % 0.15/0.45 (define @t235 () (tptp.c_Transitive__Closure_Otranclp @t234 @t3)) % 0.15/0.45 (define @t236 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t235 @t7) @t9))) % 0.15/0.45 (define @t237 () (tptp.c_Predicate_Oconversep @t131 @t3 @t3)) % 0.15/0.45 (define @t238 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t237 @t7) @t9))) % 0.15/0.45 (define @t239 () (tptp.c_Wellfounded_Oaccp (tptp.c_Predicate_Oconversep tptp.c_Lambda_Obeta tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) tptp.tc_Lambda_OdB)) % 0.15/0.45 (define @t240 () (forall (@list @t27) (or (tptp.hBOOL (tptp.hAPP @t239 @t27)) @t107))) % 0.15/0.45 (define @t241 () (not (tptp.hBOOL (tptp.hAPP @t163 @t18)))) % 0.15/0.45 (define @t242 () (@list @t4 @t3 @t129 @t18)) % 0.15/0.45 (define @t243 () (tptp.c_Wellfounded_Oaccp @t4 tptp.t_a)) % 0.15/0.45 (define @t244 () (not (tptp.hBOOL (tptp.hAPP @t243 @t7)))) % 0.15/0.45 (define @t245 () (tptp.v_sko__Wellfounded__Xaccp__Xinducts__1 @t223 @t4)) % 0.15/0.45 (define @t246 () (tptp.hBOOL (tptp.hAPP @t223 @t7))) % 0.15/0.45 (define @t247 () (@list @t223 @t7 @t4)) % 0.15/0.45 (define @t248 () (@list @t223 @t7 @t9 @t4)) % 0.15/0.45 (define @t249 () (tptp.v_sko__Wellfounded__Xaccp__Xinduct__1 @t223 @t4)) % 0.15/0.45 (define @t250 () (@var "V_a2" $$unsorted)) % 0.15/0.45 (define @t251 () (@var "V_a1" $$unsorted)) % 0.15/0.45 (define @t252 () (tptp.hBOOL (tptp.hAPP @t179 @t18))) % 0.15/0.45 (define @t253 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t232 @t18) @t129))) % 0.15/0.45 (define @t254 () (@var "V_ya" $$unsorted)) % 0.15/0.45 (define @t255 () (tptp.hAPP @t4 @t254)) % 0.15/0.45 (define @t256 () (tptp.hBOOL (tptp.hAPP @t243 @t254))) % 0.15/0.45 (define @t257 () (@list @t223 @t7 @t4 @t254)) % 0.15/0.45 (define @t258 () (tptp.c_Predicate_Oconversep @t42 @t25 @t3)) % 0.15/0.45 (define @t259 () (tptp.c_Predicate_Oconversep @t4 @t25 @t3)) % 0.15/0.45 (define @t260 () (tptp.tc_fun @t25 @t208)) % 0.15/0.45 (define @t261 () (@list @t4 @t42 @t25 @t3)) % 0.15/0.45 (define @t262 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Transitive__Closure_Ortranclp @t234 @t3) @t7) @t9))) % 0.15/0.45 (define @t263 () (tptp.hBOOL (tptp.hAPP @t176 @t7))) % 0.15/0.45 (define @t264 () (tptp.c_ATP__Linkup_Osko__Wellfounded__XaccpI__1__1 @t4 @t7 @t3)) % 0.15/0.45 (define @t265 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t42) @t27)))) % 0.15/0.45 (define @t266 () (tptp.hAPP tptp.c_Lambda_OdB_OApp @t56)) % 0.15/0.45 (define @t267 () (tptp.c_ATP__Linkup_Osko__Wellfounded__Xaccp__induct__rule__1__1 @t223 @t4 @t3)) % 0.15/0.45 (define @t268 () (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT tptp.v_t))) % 0.15/0.45 (define @t269 () (tptp.hBOOL (tptp.hAPP @t239 tptp.v_t))) % 0.15/0.45 (define @t270 () (@var "T_1" $$unsorted)) % 0.15/0.45 (define @t271 () (not (tptp.class_Lattices_Olattice @t270))) % 0.15/0.45 (define @t272 () (@var "T_2" $$unsorted)) % 0.15/0.45 (define @t273 () (tptp.tc_fun @t272 @t270)) % 0.15/0.45 (define @t274 () (@list @t272 @t270)) % 0.15/0.45 (define @t275 () (@var "V_Y" $$unsorted)) % 0.15/0.45 (define @t276 () (@var "V_X" $$unsorted)) % 0.15/0.45 (define @t277 () (not @t268)) % 0.15/0.45 (define @t278 () (or @t269 @t277)) % 0.15/0.45 (define @t279 () (not @t278)) % 0.15/0.45 (define @t280 () (@list true false)) % 0.15/0.45 (assume @p1 (forall (@list @t4 @t3 @t7 @t2 @t1) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5 (tptp.c_List_Olist_OCons @t7 @t2 @t3)) @t8)) (not @t6)))) % 0.15/0.45 (assume @p2 (forall @t13 (or @t6 @t12 @t10))) % 0.15/0.45 (assume @p3 (forall @t20 (or @t19 (= @t15 @t14)))) % 0.15/0.45 (assume @p4 (forall @t20 (or @t19 (= @t18 @t16)))) % 0.15/0.45 (assume @p5 (forall (@list @t3 @t16 @t14) (not (= @t21 @t17)))) % 0.15/0.45 (assume @p6 (forall @t13 (or @t6 @t22 @t10))) % 0.15/0.45 (assume @p7 (forall (@list @t4 @t9 @t23 @t3 @t7) (or (not (tptp.hBOOL (tptp.hAPP @t11 @t23))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5 (tptp.c_List_Olist_OCons @t9 @t7 @t3)) (tptp.c_List_Olist_OCons @t23 @t7 @t3)))))) % 0.15/0.45 (assume @p8 (forall (@list @t7 @t9 @t1 @t2 @t4 @t3) (or @t24 @t22 @t10))) % 0.15/0.45 (assume @p9 (forall (@list @t26 @t18 @t7 @t1 @t25 @t3) (= (tptp.c_List_Ofoldl @t26 @t18 (tptp.c_List_Olist_OCons @t7 @t1 @t25) @t3 @t25) (tptp.c_List_Ofoldl @t26 (tptp.hAPP (tptp.hAPP @t26 @t18) @t7) @t1 @t3 @t25)))) % 0.15/0.45 (assume @p10 (forall (@list @t7 @t23 @t3) (not (= (tptp.c_List_Olist_OCons @t7 @t23 @t3) @t21)))) % 0.15/0.45 (assume @p11 (forall (@list @t16 @t14 @t3) (not (= @t17 @t21)))) % 0.15/0.45 (assume @p12 (forall (@list @t7 @t9 @t4 @t3 @t2 @t1) (or @t24 @t12 @t10))) % 0.15/0.45 (assume @p13 (forall (@list @t7 @t27 @t3) (not (= (tptp.c_List_Olist_OCons @t7 @t27 @t3) @t27)))) % 0.15/0.45 (assume @p14 (forall (@list @t1 @t7 @t3) (not (= @t1 @t8)))) % 0.15/0.45 (assume @p15 (forall (@list @t4 @t3 @t7 @t1) (or (tptp.hBOOL (tptp.hAPP @t30 @t8)) @t32 (not @t29)))) % 0.15/0.45 (assume @p16 (forall @t38 (or @t37 (= @t34 @t33)))) % 0.15/0.45 (assume @p17 (forall @t38 (or @t37 (= @t36 @t35)))) % 0.15/0.45 (assume @p18 (forall (@list @t43 @t42 @t27 @t39 @t40) (or (tptp.c_Type_Otyping @t43 @t45 @t39) (not (tptp.c_Type_Otyping @t43 @t27 @t40)) (not (tptp.c_Type_Otyping @t43 @t42 @t41))))) % 0.15/0.45 (assume @p19 (forall (@list @t46 @t48 @t39 @t27 @t40) (or (tptp.c_Type_Otyping @t50 @t49 @t40) @t47))) % 0.15/0.45 (assume @p20 (forall @t55 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t51 @t54) @t53)) @t52))) % 0.15/0.45 (assume @p21 (forall (@list @t58 @t56 @t39 @t48 @t27 @t40) (or (not (tptp.c_Type_Otyping @t58 @t56 @t39)) (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t58 @t48 @t39 tptp.tc_Type_Otype) @t27 @t40)) (tptp.c_Type_Otyping @t58 @t57 @t40)))) % 0.15/0.45 (assume @p22 (forall @t62 (or @t61 @t47 @t60))) % 0.15/0.45 (assume @p23 (forall (@list @t64 @t65 @t63) (or (tptp.hBOOL (tptp.hAPP @t70 @t69)) @t68))) % 0.15/0.45 (assume @p24 (forall @t72 (or @t71 @t52))) % 0.15/0.45 (assume @p25 (forall @t75 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t51 @t74) @t73)) @t52))) % 0.15/0.45 (assume @p26 (forall @t72 (or @t71 @t76))) % 0.15/0.45 (assume @p27 (forall (@list @t4 @t42) (= @t78 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t78 @t77 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.15/0.45 (assume @p28 (forall (@list @t4 @t42 @t27) (or (not (= @t78 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t27 @t77 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) (= @t78 @t27)))) % 0.15/0.45 (assume @p29 (forall (@list @t42 @t79) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t51 @t81) (tptp.c_Lambda_OdB_OAbs @t79))) @t80))) % 0.15/0.45 (assume @p30 (forall (@list @t42 @t27 @t59) (or (tptp.hBOOL (tptp.hAPP @t82 (tptp.hAPP @t44 @t59))) @t60))) % 0.15/0.45 (assume @p31 (forall (@list @t42 @t27 @t79) (or (tptp.hBOOL (tptp.hAPP @t82 (tptp.hAPP @t83 @t27))) @t80))) % 0.15/0.45 (assume @p32 (forall (@list @t42 @t27 @t79 @t59) (or (tptp.hBOOL (tptp.hAPP @t82 (tptp.hAPP @t83 @t59))) @t60 @t80))) % 0.15/0.45 (assume @p33 (forall (@list @t43 @t27 @t40 @t39) (or (tptp.c_Type_Otyping @t43 @t85 @t41) (not (tptp.c_Type_Otyping (tptp.c_Type_Oshift @t43 @t84 @t40 tptp.tc_Type_Otype) @t27 @t39))))) % 0.15/0.45 (assume @p34 (forall @t87 (or @t86 @t32))) % 0.15/0.45 (assume @p35 (forall @t87 (or @t31 (not @t86)))) % 0.15/0.45 (assume @p36 (forall (@list @t46 @t7 @t40 @t3) (= (tptp.hAPP (tptp.c_Type_Oshift @t46 @t7 @t40 @t3) @t7) @t40))) % 0.15/0.45 (assume @p37 (forall (@list @t26 @t18 @t25 @t3) (= (tptp.c_List_Ofoldl @t26 @t18 (tptp.c_List_Olist_ONil @t25) @t3 @t25) @t18))) % 0.15/0.45 (assume @p38 (forall @t87 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5 @t1) @t21))))) % 0.15/0.45 (assume @p39 (forall @t87 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t5 @t21) @t1))))) % 0.15/0.45 (assume @p40 (forall (@list @t88 @t3) (tptp.c_List_Olistsp @t88 @t21 @t3))) % 0.15/0.45 (assume @p41 (forall (@list @t4 @t42 @t27 @t89) (or (not (= @t78 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t27 @t89 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) (= @t4 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t27 (tptp.c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1 @t4 @t42 @t27 @t89) tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) (= @t89 @t77)))) % 0.15/0.45 (assume @p42 (forall (@list @t4 @t64 @t90) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t4 @t64 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) @t91)) (not (tptp.hBOOL (tptp.hAPP @t70 @t90)))))) % 0.15/0.45 (assume @p43 (forall @t93 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t51 @t91) @t92)) @t52))) % 0.15/0.45 (assume @p44 (forall @t96 (= @t95 @t94))) % 0.15/0.45 (assume @p45 (forall @t99 (or @t98 @t97))) % 0.15/0.45 (assume @p46 (forall @t96 (= @t94 @t95))) % 0.15/0.45 (assume @p47 (forall @t101 (or @t100 @t97))) % 0.15/0.45 (assume @p48 (forall @t105 (or @t104 @t97))) % 0.15/0.45 (assume @p49 (forall (@list @t102) (= @t103 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t103 @t77 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)))) % 0.15/0.45 (assume @p50 (forall (@list @t27 @t56 @t48 @t46 @t39 @t40) (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t57)) (not (tptp.c_Type_Otyping @t46 @t56 @t39)) (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t56))) (not (tptp.c_Type_Otyping @t50 @t27 @t40)) @t107))) % 0.15/0.45 (assume @p51 (forall (@list @t63 @t65 @t64) (or (= @t63 (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t66 @t69 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB)) @t68))) % 0.15/0.45 (assume @p52 (forall (@list @t65 @t64) (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t67)) (not (tptp.c_List_Olistsp tptp.c_InductTermi_OIT @t64 tptp.tc_Lambda_OdB))))) % 0.15/0.45 (assume @p53 (forall (@list @t111 @t110 @t108) (not (= @t112 @t109)))) % 0.15/0.45 (assume @p54 (forall @t114 (= (tptp.c_Transitive__Closure_Ortranclp @t113 @t3) @t113))) % 0.15/0.45 (assume @p55 (forall (@list @t27 @t46 @t40) (or @t106 @t47))) % 0.15/0.45 (assume @p56 (forall (@list @t42 @t27 @t65 @t90) (not (= @t116 @t115)))) % 0.15/0.45 (assume @p57 (forall (@list @t88 @t7 @t9 @t118 @t3 @t25) (or @t121 @t120))) % 0.15/0.45 (assume @p58 (forall @t123 (or @t122 @t120))) % 0.15/0.45 (assume @p59 (forall @t126 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.hAPP @t125 @t124))) @t107))) % 0.15/0.45 (assume @p60 (forall (@list @t27 @t127 @t42) (= (tptp.c_Lambda_Osubst @t128 @t42 @t127) @t27))) % 0.15/0.45 (assume @p61 (forall @t134 (or @t133 @t130))) % 0.15/0.45 (assume @p62 (forall @t138 (or @t137 @t136))) % 0.15/0.45 (assume @p63 (forall @t138 (or @t139 @t136))) % 0.15/0.45 (assume @p64 (forall @t138 (or @t137 @t141))) % 0.15/0.45 (assume @p65 (forall @t138 (or @t139 @t141))) % 0.15/0.45 (assume @p66 (forall @t96 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t94)) @t143))) % 0.15/0.45 (assume @p67 (forall (@list @t4 @t89 @t42) (or (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t4 @t89 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t42 @t89 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))) @t144))) % 0.15/0.45 (assume @p68 (forall @t101 (or @t100 (= @t94 @t42)))) % 0.15/0.45 (assume @p69 (forall (@list @t43 @t7) (tptp.c_Type_Otyping @t43 (tptp.c_Lambda_OdB_OVar @t7) (tptp.hAPP @t43 @t7)))) % 0.15/0.45 (assume @p70 (forall @t138 (or @t137 @t147))) % 0.15/0.45 (assume @p71 (forall @t138 (or @t148 @t147))) % 0.15/0.45 (assume @p72 (forall @t153 (or @t137 @t152))) % 0.15/0.45 (assume @p73 (forall @t153 (or @t137 @t155))) % 0.15/0.45 (assume @p74 (forall @t153 (or @t139 @t155))) % 0.15/0.45 (assume @p75 (forall @t153 (or @t139 @t152))) % 0.15/0.45 (assume @p76 (forall @t156 (or @t139 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t7 @t7 @t3) @t7)))) % 0.15/0.45 (assume @p77 (forall @t158 (or @t157 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t150 @t7 @t3) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t145 (tptp.c_Lattices_Olower__semilattice__class_Oinf @t149 @t7 @t3) @t3))))) % 0.15/0.45 (assume @p78 (forall @t153 (or @t157 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t7 @t150 @t3) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t146 @t159 @t3))))) % 0.15/0.45 (assume @p79 (forall (@list @t4 @t42 @t3 @t25 @t161 @t18 @t160 @t129) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Predicate_Opred__comp @t4 @t42 @t3 @t25 @t161) @t18) @t160)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t42 @t129) @t160))) @t130))) % 0.15/0.45 (assume @p80 (forall @t166 (or @t165 @t164 @t162))) % 0.15/0.45 (assume @p81 (forall @t173 (or @t172 @t170 @t169))) % 0.15/0.45 (assume @p82 (forall (@list @t4 @t3 @t18) (tptp.hBOOL (tptp.hAPP @t174 @t18)))) % 0.15/0.45 (assume @p83 (forall @t175 (tptp.hBOOL (tptp.hAPP @t167 @t7)))) % 0.15/0.45 (assume @p84 (forall @t173 (or (tptp.hBOOL (tptp.hAPP @t167 @t149)) (not (tptp.hBOOL (tptp.hAPP @t176 @t149))) @t169))) % 0.15/0.45 (assume @p85 (forall @t166 (or @t165 @t164 @t130))) % 0.15/0.45 (assume @p86 (forall @t166 (or @t165 @t180 @t178))) % 0.15/0.45 (assume @p87 (forall (@list @t42 @t27 @t127) (= (tptp.c_Lambda_Olift @t45 @t127) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Olift @t42 @t127)) @t128)))) % 0.15/0.45 (assume @p88 (forall @t114 (or (tptp.c_Wellfounded_OwfP @t131 @t3) @t181))) % 0.15/0.45 (assume @p89 (forall (@list @t46 @t48 @t40) (or (= (tptp.hAPP @t46 @t48) @t40) (not (tptp.c_Type_Otyping @t46 @t124 @t40))))) % 0.15/0.45 (assume @p90 (forall @t134 (or @t177 @t162))) % 0.15/0.45 (assume @p91 (forall (@list @t65) (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t66)))) % 0.15/0.45 (assume @p92 (forall (@list @t108 @t182) (not (= @t109 @t183)))) % 0.15/0.45 (assume @p93 (forall @t184 (or @t168 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4 @t7) @t9)))))) % 0.15/0.45 (assume @p94 (forall @t123 (or @t122 @t121 (not @t185)))) % 0.15/0.45 (assume @p95 (forall @t187 (or @t185 @t186))) % 0.15/0.45 (assume @p96 (forall @t187 (or @t185 @t188))) % 0.15/0.45 (assume @p97 (forall @t101 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t190)) (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t42))) (not (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t189)))))) % 0.15/0.45 (assume @p98 (forall @t126 (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT @t49)) @t107))) % 0.15/0.45 (assume @p99 (forall (@list @t65 @t89 @t4 @t90) (not (= (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t66 @t89 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB) (tptp.c_List_Ofoldl tptp.c_Lambda_OdB_OApp @t94 @t90 tptp.tc_Lambda_OdB tptp.tc_Lambda_OdB))))) % 0.15/0.45 (assume @p100 (forall @t153 (or @t137 @t193))) % 0.15/0.45 (assume @p101 (forall @t153 (or @t137 @t194))) % 0.15/0.45 (assume @p102 (forall @t153 (or @t148 @t194))) % 0.15/0.45 (assume @p103 (forall @t153 (or @t148 @t193))) % 0.15/0.45 (assume @p104 (forall (@list @t195 @t182) (or (not (= (tptp.c_Lambda_OdB_OAbs @t195) @t183)) (= @t195 @t182)))) % 0.15/0.45 (assume @p105 (forall (@list @t108 @t111 @t110) (not (= @t109 @t112)))) % 0.15/0.45 (assume @p106 (forall @t105 (or @t104 (= @t103 @t42)))) % 0.15/0.45 (assume @p107 (forall @t93 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t91) @t92)) @t76))) % 0.15/0.45 (assume @p108 (forall @t138 (or @t137 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t7 @t146 @t3) @t7)))) % 0.15/0.45 (assume @p109 (forall @t196 (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t116) (tptp.c_Lambda_Osubst @t42 @t27 @t84))))) % 0.15/0.45 (assume @p110 (forall (@list @t40 @t39 @t46 @t48 @t89) (or (= @t40 @t39) (not (tptp.c_Type_Otyping @t46 @t197 @t39)) (not (tptp.c_Type_Otyping @t46 @t197 @t40))))) % 0.15/0.45 (assume @p111 (forall @t202 (or @t201 (= @t198 @t110)))) % 0.15/0.45 (assume @p112 (forall @t202 (or @t201 (= @t199 @t111)))) % 0.15/0.45 (assume @p113 (forall @t138 (or @t137 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t7 @t135 @t3) @t7)))) % 0.15/0.45 (assume @p114 (forall @t205 (or @t204 @t203))) % 0.15/0.45 (assume @p115 (forall @t205 (or @t204 @t144))) % 0.15/0.45 (assume @p116 (forall @t99 (or @t98 (= @t42 @t94)))) % 0.15/0.45 (assume @p117 (forall (@list @t206 @t3) (= (tptp.c_Transitive__Closure_Ortranclp (tptp.c_Lattices_Oupper__semilattice__class_Osup @t206 @t210 @t209) @t3) @t207))) % 0.15/0.45 (assume @p118 (forall @t134 (or @t133 @t211 @t178))) % 0.15/0.45 (assume @p119 (forall (@list @t206 @t3 @t18 @t129) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_Transitive__Closure_Otranclp @t206 @t3) @t18) @t129)) @t211 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t207 @t18) @t129)))))) % 0.15/0.45 (assume @p120 (forall (@list @t206 @t3 @t212) (= (tptp.c_Transitive__Closure_Ortranclp (tptp.c_Lattices_Oupper__semilattice__class_Osup @t207 (tptp.c_Transitive__Closure_Ortranclp @t212 @t3) @t209) @t3) (tptp.c_Transitive__Closure_Ortranclp (tptp.c_Lattices_Oupper__semilattice__class_Osup @t206 @t212 @t209) @t3)))) % 0.15/0.45 (assume @p121 (forall @t158 (or @t157 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t191 @t7 @t3) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t140 (tptp.c_Lattices_Oupper__semilattice__class_Osup @t149 @t7 @t3) @t3))))) % 0.15/0.45 (assume @p122 (forall @t153 (or @t157 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t7 @t191 @t3) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t135 @t154 @t3))))) % 0.15/0.45 (assume @p123 (forall @t138 (or @t137 @t213))) % 0.15/0.45 (assume @p124 (forall @t138 (or @t148 @t213))) % 0.15/0.45 (assume @p125 (forall (@list @t4 @t48 @t214) (or (tptp.hBOOL (tptp.hAPP tptp.c_InductTermi_OIT (tptp.c_Lambda_Osubst @t4 @t124 @t214))) @t143))) % 0.15/0.45 (assume @p126 (forall @t114 (= (tptp.c_Lattices_Oupper__semilattice__class_Osup @t131 @t210 @t209) @t113))) % 0.15/0.45 (assume @p127 (forall @t156 (or @t148 (= (tptp.c_Lattices_Olower__semilattice__class_Oinf @t7 @t7 @t3) @t7)))) % 0.15/0.45 (assume @p128 (forall (@list @t127 @t56) (= (tptp.c_Lambda_Osubst (tptp.c_Lambda_OdB_OVar @t127) @t56 @t127) @t56))) % 0.15/0.45 (assume @p129 (forall @t216 (or @t215 @t203))) % 0.15/0.45 (assume @p130 (forall @t216 (or @t215 (= @t102 @t65)))) % 0.15/0.45 (assume @p131 (forall (@list @t182 @t199 @t198) (not (= @t183 @t200)))) % 0.15/0.45 (assume @p132 (forall @t173 (or @t172 @t170 (not (tptp.hBOOL (tptp.hAPP @t171 @t9)))))) % 0.15/0.45 (assume @p133 (forall (@list @t108 @t217) (or (not (= @t109 (tptp.c_Lambda_OdB_OVar @t217))) (= @t108 @t217)))) % 0.15/0.45 (assume @p134 (forall (@list @t199 @t198 @t182) (not (= @t200 @t183)))) % 0.15/0.45 (assume @p135 (forall (@list @t182 @t108) (not (= @t183 @t109)))) % 0.15/0.45 (assume @p136 (forall (@list @t27 @t56 @t42 @t127) (= (tptp.c_Lambda_Osubst @t218 @t42 @t127) (tptp.hAPP (tptp.hAPP tptp.c_Lambda_OdB_OApp (tptp.c_Lambda_Osubst @t27 @t42 @t127)) (tptp.c_Lambda_Osubst @t56 @t42 @t127))))) % 0.15/0.45 (assume @p137 (forall @t187 (or @t119 @t186 @t188))) % 0.15/0.45 (assume @p138 (forall @t166 (or @t219 @t164 @t130))) % 0.15/0.45 (assume @p139 (forall @t166 (or @t219 @t180 @t178))) % 0.15/0.45 (assume @p140 (forall @t166 (or @t165 @t180 @t162))) % 0.15/0.45 (assume @p141 (forall @t166 (or @t165 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t131 @t129) @t160))) @t130))) % 0.15/0.45 (assume @p142 (forall @t134 (or @t221 @t130 (not @t220)))) % 0.15/0.45 (assume @p143 (forall (@list @t4 @t3 @t9 @t18) (or (tptp.hBOOL (tptp.hAPP @t28 @t9)) (not (tptp.hBOOL (tptp.hAPP @t11 @t18))) @t222))) % 0.15/0.45 (assume @p144 (forall @t226 (or @t225 (not (tptp.hBOOL (tptp.hAPP @t223 @t224))) @t222))) % 0.15/0.45 (assume @p145 (forall @t228 (or @t225 @t227 (not (tptp.hBOOL (tptp.hAPP @t11 @t224))) @t222))) % 0.15/0.45 (assume @p146 (forall (@list @t206 @t7 @t3) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t206 @t231) @t7)) @t230))) % 0.15/0.45 (assume @p147 (forall @t62 (or @t61 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t27) @t59))) @t47))) % 0.15/0.45 (assume @p148 (forall @t175 (or @t29 @t181))) % 0.15/0.45 (assume @p149 (forall (@list @t4 @t3 @t25) (= (tptp.c_Predicate_Oconversep @t232 @t25 @t3) @t4))) % 0.15/0.45 (assume @p150 (forall (@list @t48 @t27) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t124) @t27))))) % 0.15/0.45 (assume @p151 (forall @t175 (or @t29 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4 @t233) @t7))))) % 0.15/0.45 (assume @p152 (forall (@list @t3) (= (tptp.c_Predicate_Oconversep @t210 @t3 @t3) @t210))) % 0.15/0.45 (assume @p153 (forall @t184 (or @t238 (not @t236)))) % 0.15/0.45 (assume @p154 (forall @t184 (or @t236 (not @t238)))) % 0.15/0.45 (assume @p155 (forall (@list @t206 @t3 @t7) (or (not (tptp.hBOOL (tptp.hAPP @t229 @t231))) @t230))) % 0.15/0.45 (assume @p156 (forall @t114 (= @t235 @t237))) % 0.15/0.45 (assume @p157 (forall @t96 (or @t142 (not (tptp.hBOOL (tptp.hAPP @t239 @t4)))))) % 0.15/0.45 (assume @p158 @t240) % 0.15/0.45 (assume @p159 (forall @t242 (or @t220 @t222 @t241))) % 0.15/0.45 (assume @p160 (forall @t242 (or @t220 @t241 @t222))) % 0.15/0.45 (assume @p161 (forall @t75 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t74) @t73)) @t76))) % 0.15/0.45 (assume @p162 (forall @t247 (or @t246 (not (tptp.hBOOL (tptp.hAPP @t223 @t245))) @t244))) % 0.15/0.45 (assume @p163 (forall @t248 (or @t246 @t227 (not (tptp.hBOOL (tptp.hAPP @t11 @t245))) @t244))) % 0.15/0.45 (assume @p164 (forall @t101 (or (not (tptp.hBOOL (tptp.hAPP @t239 @t189))) (not (tptp.hBOOL (tptp.hAPP @t239 @t42))) (tptp.hBOOL (tptp.hAPP @t239 @t190))))) % 0.15/0.45 (assume @p165 (forall @t247 (or @t246 (not (tptp.hBOOL (tptp.hAPP @t223 @t249))) @t244))) % 0.15/0.45 (assume @p166 (forall @t248 (or @t246 @t227 (not (tptp.hBOOL (tptp.hAPP @t11 @t249))) @t244))) % 0.15/0.45 (assume @p167 (forall (@list @t4 @t3 @t25 @t129 @t18) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t232 @t129) @t18)) @t130))) % 0.15/0.45 (assume @p168 (forall (@list @t4 @t250 @t251 @t3 @t25) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4 @t250) @t251)) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t232 @t251) @t250)))))) % 0.15/0.45 (assume @p169 (forall (@list @t4 @t3 @t25 @t18 @t129) (or @t253 (not @t252)))) % 0.15/0.45 (assume @p170 (forall (@list @t4 @t129 @t18 @t3 @t25) (or @t252 (not @t253)))) % 0.15/0.45 (assume @p171 (forall @t257 (or @t246 @t256 (not (tptp.hBOOL (tptp.hAPP @t255 @t245))) @t244))) % 0.15/0.45 (assume @p172 (forall @t257 (or @t246 @t256 (not (tptp.hBOOL (tptp.hAPP @t255 @t249))) @t244))) % 0.15/0.45 (assume @p173 (forall @t261 (= (tptp.c_Predicate_Oconversep (tptp.c_Lattices_Oupper__semilattice__class_Osup @t4 @t42 @t260) @t25 @t3) (tptp.c_Lattices_Oupper__semilattice__class_Osup @t259 @t258 @t117)))) % 0.15/0.45 (assume @p174 (forall (@list @t4 @t3 @t9 @t7) (or @t263 (not @t262)))) % 0.15/0.45 (assume @p175 (forall @t184 (or @t262 (not @t263)))) % 0.15/0.45 (assume @p176 (forall @t226 (or @t225 (tptp.hBOOL (tptp.hAPP @t28 @t224)) @t222))) % 0.15/0.45 (assume @p177 (forall @t261 (= (tptp.c_Predicate_Oconversep (tptp.c_Lattices_Olower__semilattice__class_Oinf @t4 @t42 @t260) @t25 @t3) (tptp.c_Lattices_Olower__semilattice__class_Oinf @t259 @t258 @t117)))) % 0.15/0.45 (assume @p178 (forall @t175 (or @t29 (not (tptp.hBOOL (tptp.hAPP @t28 @t233)))))) % 0.15/0.45 (assume @p179 (forall @t175 (or @t29 (not (tptp.hBOOL (tptp.hAPP @t28 @t264)))))) % 0.15/0.45 (assume @p180 (forall @t175 (or @t29 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t4 @t264) @t7))))) % 0.15/0.45 (assume @p181 (forall (@list @t56 @t42 @t27) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta (tptp.hAPP @t266 @t42)) (tptp.hAPP @t266 @t27))) @t265))) % 0.15/0.45 (assume @p182 (forall (@list @t42 @t56 @t27) (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta (tptp.hAPP @t44 @t56)) @t218)) @t265))) % 0.15/0.45 (assume @p183 (forall @t226 (or @t225 (tptp.hBOOL (tptp.hAPP @t28 @t267)) @t222))) % 0.15/0.45 (assume @p184 (forall @t55 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t54) @t53)) @t76))) % 0.15/0.45 (assume @p185 (forall @t226 (or @t225 (not (tptp.hBOOL (tptp.hAPP @t223 @t267))) @t222))) % 0.15/0.45 (assume @p186 (forall @t228 (or @t225 @t227 (not (tptp.hBOOL (tptp.hAPP @t11 @t267))) @t222))) % 0.15/0.45 (assume @p187 (forall (@list @t4 @t42 @t25 @t161 @t3) (= (tptp.c_Predicate_Oconversep (tptp.c_Predicate_Opred__comp @t4 @t42 @t25 @t161 @t3) @t25 @t3) (tptp.c_Predicate_Opred__comp (tptp.c_Predicate_Oconversep @t42 @t161 @t3) (tptp.c_Predicate_Oconversep @t4 @t25 @t161) @t3 @t161 @t25)))) % 0.15/0.45 (assume @p188 (forall @t196 (or (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_Lambda_Obeta @t81) @t85)) @t265))) % 0.15/0.45 (assume @p189 @t268) % 0.15/0.45 (assume @p190 (not @t269)) % 0.15/0.45 (assume @p191 (forall @t274 (or (tptp.class_Lattices_Oupper__semilattice @t273) @t271))) % 0.15/0.45 (assume @p192 (forall @t274 (or (tptp.class_Lattices_Olower__semilattice @t273) @t271))) % 0.15/0.45 (assume @p193 (forall @t274 (or (tptp.class_Lattices_Odistrib__lattice @t273) (not (tptp.class_Lattices_Odistrib__lattice @t270))))) % 0.15/0.45 (assume @p194 (forall @t274 (or (tptp.class_Lattices_Olattice @t273) @t271))) % 0.15/0.45 (assume @p195 (tptp.class_Lattices_Oupper__semilattice tptp.tc_nat)) % 0.15/0.45 (assume @p196 (tptp.class_Lattices_Olower__semilattice tptp.tc_nat)) % 0.15/0.45 (assume @p197 (tptp.class_Lattices_Odistrib__lattice tptp.tc_nat)) % 0.15/0.45 (assume @p198 (tptp.class_Lattices_Olattice tptp.tc_nat)) % 0.15/0.45 (assume @p199 (tptp.class_Lattices_Oupper__semilattice tptp.tc_bool)) % 0.15/0.45 (assume @p200 (tptp.class_Lattices_Olower__semilattice tptp.tc_bool)) % 0.15/0.45 (assume @p201 (tptp.class_Lattices_Odistrib__lattice tptp.tc_bool)) % 0.15/0.45 (assume @p202 (tptp.class_Lattices_Olattice tptp.tc_bool)) % 0.15/0.45 (assume @p203 (forall @t156 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t210 @t7) @t7)))) % 0.15/0.45 (assume @p204 (forall (@list @t276 @t275 @t3) (or (= @t276 @t275) (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t210 @t276) @t275)))))) % 0.15/0.45 (step @p205 :rule cnf_or_pos :args (@t278)) % 0.15/0.45 (step @p206 :rule reordering :premises (@p205) :args ((or @t269 @t277 @t279))) % 0.15/0.45 (step @p207 :rule chain_m_resolution :premises (@p206 @p190 @p189) :args (@t279 @t280 (@list @t269 @t268))) % 0.15/0.45 (assume-push @p214 @t240) % 0.15/0.45 (step @p209 :rule instantiate :premises (@p158) :args ((@list tptp.v_t))) % 0.15/0.45 (step-pop @p215 :rule scope :premises (@p209)) % 0.15/0.45 (step @p210 :rule process_scope :premises (@p215) :args (@t278)) % 0.15/0.45 (step @p212 :rule implies_elim :premises (@p210)) % 0.15/0.45 (step @p213 false :rule chain_m_resolution :premises (@p212 @p207 @p158) :args (false @t280 (@list @t278 @t240))) % 0.15/0.45 ) % 0.15/0.45 % SZS output end Proof % 0.15/0.45 % cvc5 exiting %------------------------------------------------------------------------------