TSTP Solution File: ITP020+1 by Etableau---0.67
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : ITP020+1 : TPTP v8.1.0. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 22:48:21 EDT 2022
% Result : Theorem 0.14s 0.40s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ITP020+1 : TPTP v8.1.0. Bugfixed v7.5.0.
% 0.11/0.13 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.14/0.34 % Computer : n017.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Fri Jun 3 20:09:14 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.14/0.39 # No SInE strategy applied
% 0.14/0.39 # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.14/0.39 # and selection function SelectComplexExceptUniqMaxHorn.
% 0.14/0.39 #
% 0.14/0.39 # Presaturation interreduction done
% 0.14/0.39 # Number of axioms: 115 Number of unprocessed: 83
% 0.14/0.39 # Tableaux proof search.
% 0.14/0.39 # APR header successfully linked.
% 0.14/0.39 # Hello from C++
% 0.14/0.40 # The folding up rule is enabled...
% 0.14/0.40 # Local unification is enabled...
% 0.14/0.40 # Any saturation attempts will use folding labels...
% 0.14/0.40 # 83 beginning clauses after preprocessing and clausification
% 0.14/0.40 # Creating start rules for all 1 conjectures.
% 0.14/0.40 # There are 1 start rule candidates:
% 0.14/0.40 # Found 11 unit axioms.
% 0.14/0.40 # 1 start rule tableaux created.
% 0.14/0.40 # 72 extension rule candidate clauses
% 0.14/0.40 # 11 unit axiom clauses
% 0.14/0.40
% 0.14/0.40 # Requested 8, 32 cores available to the main process.
% 0.14/0.40 # There are not enough tableaux to fork, creating more from the initial 1
% 0.14/0.40 # Closed tableau found in foldup close cycle with 0 folds and 1 closures done.
% 0.14/0.40 # There were 0 total branch saturation attempts.
% 0.14/0.40 # There were 0 of these attempts blocked.
% 0.14/0.40 # There were 0 deferred branch saturation attempts.
% 0.14/0.40 # There were 0 free duplicated saturations.
% 0.14/0.40 # There were 0 total successful branch saturations.
% 0.14/0.40 # There were 0 successful branch saturations in interreduction.
% 0.14/0.40 # There were 0 successful branch saturations on the branch.
% 0.14/0.40 # There were 0 successful branch saturations after the branch.
% 0.14/0.40 # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.40 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.40 # Begin clausification derivation
% 0.14/0.40
% 0.14/0.40 # End clausification derivation
% 0.14/0.40 # Begin listing active clauses obtained from FOF to CNF conversion
% 0.14/0.40 cnf(i_0_4, plain, (p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)))).
% 0.14/0.40 cnf(i_0_302, plain, (p(s(tyop_2Emin_2Ebool,c_2Epred__set_2EBIJ_2E3(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Enum_2Enum),tyop_2Enum_2Enum),esk28_0),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Enum_2Enum),tyop_2Emin_2Ebool),c_2Epred__set_2ECROSS_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0))),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0)))))).
% 0.14/0.40 cnf(i_0_7, plain, (s(X1,app_2E2(s(tyop_2Emin_2Efun(X1,X1),combin_i_2E0),s(X1,X2)))=s(X1,X2))).
% 0.14/0.40 cnf(i_0_40, plain, (s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_21_2E0),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2)))=s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2))))).
% 0.14/0.40 cnf(i_0_41, plain, (s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_3F_2E0),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2)))=s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2))))).
% 0.14/0.40 cnf(i_0_8, plain, (s(X1,app_2E2(s(tyop_2Emin_2Efun(X2,X1),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X2,X1)),combin_k_2E0),s(X1,X3))),s(X2,X4)))=s(X1,X3))).
% 0.14/0.40 cnf(i_0_45, plain, (s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Enum_2Enum),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Enum_2Enum),tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Enum_2Enum),tyop_2Emin_2Ebool))),c_2Epred__set_2ECROSS_2E0),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),X1))),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),X2)))=s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Enum_2Enum),tyop_2Emin_2Ebool),c_2Epred__set_2ECROSS_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),X1),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),X2))))).
% 0.14/0.40 cnf(i_0_42, plain, (s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,X1),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool))),c_2Epred__set_2EBIJ_2E0),s(tyop_2Emin_2Efun(X2,X1),X3))),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X4))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5)))=s(tyop_2Emin_2Ebool,c_2Epred__set_2EBIJ_2E3(s(tyop_2Emin_2Efun(X2,X1),X3),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5))))).
% 0.14/0.40 cnf(i_0_9, plain, (s(X1,app_2E2(s(tyop_2Emin_2Efun(X2,X1),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,X3),tyop_2Emin_2Efun(X2,X1)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X3,X1)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,X3),tyop_2Emin_2Efun(X2,X1))),combin_s_2E0),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X3,X1)),X4))),s(tyop_2Emin_2Efun(X2,X3),X5))),s(X2,X6)))=s(X1,app_2E2(s(tyop_2Emin_2Efun(X3,X1),app_2E2(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X3,X1)),X4),s(X2,X6))),s(X3,app_2E2(s(tyop_2Emin_2Efun(X2,X3),X5),s(X2,X6))))))).
% 0.14/0.40 cnf(i_0_5, plain, (~p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)))).
% 0.14/0.40 cnf(i_0_303, negated_conjecture, (~p(s(tyop_2Emin_2Ebool,c_2Epred__set_2EBIJ_2E3(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Enum_2Enum)),X1),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Enum_2Enum),tyop_2Emin_2Ebool),c_2Epred__set_2ECROSS_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0)))))))).
% 0.14/0.40 cnf(i_0_6, plain, (s(tyop_2Emin_2Ebool,X1)=s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)|s(tyop_2Emin_2Ebool,X1)=s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))).
% 0.14/0.40 cnf(i_0_75, plain, (s(tyop_2Emin_2Ebool,X1)!=s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)|~p(s(tyop_2Emin_2Ebool,X1)))).
% 0.14/0.40 cnf(i_0_17, plain, (~p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E1(s(tyop_2Emin_2Ebool,X1))))|~p(s(tyop_2Emin_2Ebool,X1)))).
% 0.14/0.40 cnf(i_0_74, plain, (s(tyop_2Emin_2Ebool,X1)=s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)|p(s(tyop_2Emin_2Ebool,X1)))).
% 0.14/0.40 cnf(i_0_321, plain, (epred1_3(X1,X2,X3)|~p(s(tyop_2Emin_2Ebool,X1))|~p(s(tyop_2Emin_2Ebool,X2)))).
% 0.14/0.40 cnf(i_0_79, plain, (p(s(tyop_2Emin_2Ebool,X1))|s(tyop_2Emin_2Ebool,X1)!=s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))).
% 0.14/0.40 cnf(i_0_78, plain, (s(tyop_2Emin_2Ebool,X1)=s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)|~p(s(tyop_2Emin_2Ebool,X1)))).
% 0.14/0.40 cnf(i_0_2, plain, (s(tyop_2Emin_2Ebool,X1)=s(tyop_2Emin_2Ebool,X2)|p(s(tyop_2Emin_2Ebool,X1))|p(s(tyop_2Emin_2Ebool,X2)))).
% 0.14/0.40 cnf(i_0_16, plain, (p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E1(s(tyop_2Emin_2Ebool,X1))))|p(s(tyop_2Emin_2Ebool,X1)))).
% 0.14/0.40 cnf(i_0_145, plain, (p(s(tyop_2Emin_2Ebool,X1))|s(tyop_2Emin_2Ebool,X2)!=s(tyop_2Emin_2Ebool,X3)|~epred1_3(X1,X2,X3))).
% 0.14/0.40 cnf(i_0_154, plain, (epred1_3(X1,X2,X3)|s(tyop_2Emin_2Ebool,X2)!=s(tyop_2Emin_2Ebool,X3)|~p(s(tyop_2Emin_2Ebool,X1)))).
% 0.14/0.40 cnf(i_0_331, plain, (p(s(tyop_2Emin_2Ebool,X1))|~epred1_3(X2,X1,X3)|~p(s(tyop_2Emin_2Ebool,X2))|~p(s(tyop_2Emin_2Ebool,X3)))).
% 0.14/0.40 cnf(i_0_332, plain, (p(s(tyop_2Emin_2Ebool,X1))|~epred1_3(X1,X2,X3)|~p(s(tyop_2Emin_2Ebool,X2))|~p(s(tyop_2Emin_2Ebool,X3)))).
% 0.14/0.40 cnf(i_0_33, plain, (~p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),c_2Ebool_2E_7E_2E0),s(tyop_2Emin_2Ebool,X1))))|~p(s(tyop_2Emin_2Ebool,X1)))).
% 0.14/0.40 cnf(i_0_11, plain, (p(s(tyop_2Emin_2Ebool,X1))|~p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool,X2),s(tyop_2Emin_2Ebool,X1)))))).
% 0.14/0.40 cnf(i_0_12, plain, (p(s(tyop_2Emin_2Ebool,X1))|~p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool,X1),s(tyop_2Emin_2Ebool,X2)))))).
% 0.14/0.40 cnf(i_0_20, plain, (p(s(tyop_2Emin_2Ebool,X1))|~p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool,X2),s(tyop_2Emin_2Ebool,X1))))|~p(s(tyop_2Emin_2Ebool,X2)))).
% 0.14/0.40 cnf(i_0_317, plain, (epred1_3(X1,X2,X3)|p(s(tyop_2Emin_2Ebool,X3))|~p(s(tyop_2Emin_2Ebool,X2)))).
% 0.14/0.40 cnf(i_0_326, plain, (epred1_3(X1,X2,X3)|p(s(tyop_2Emin_2Ebool,X3))|~p(s(tyop_2Emin_2Ebool,X1)))).
% 0.14/0.40 cnf(i_0_19, plain, (p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool,X1),s(tyop_2Emin_2Ebool,X2))))|p(s(tyop_2Emin_2Ebool,X1)))).
% 0.14/0.40 cnf(i_0_3, plain, (s(tyop_2Emin_2Ebool,X1)=s(tyop_2Emin_2Ebool,X2)|~p(s(tyop_2Emin_2Ebool,X2))|~p(s(tyop_2Emin_2Ebool,X1)))).
% 0.14/0.40 cnf(i_0_15, plain, (p(s(tyop_2Emin_2Ebool,X1))|p(s(tyop_2Emin_2Ebool,X2))|~p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool,X1),s(tyop_2Emin_2Ebool,X2)))))).
% 0.14/0.40 cnf(i_0_152, plain, (s(tyop_2Emin_2Ebool,X1)=s(tyop_2Emin_2Ebool,X2)|epred1_3(X3,X1,X2)|p(s(tyop_2Emin_2Ebool,X3)))).
% 0.14/0.40 cnf(i_0_13, plain, (p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool,X1),s(tyop_2Emin_2Ebool,X2))))|~p(s(tyop_2Emin_2Ebool,X2)))).
% 0.14/0.40 cnf(i_0_22, plain, (s(X1,X2)=s(X1,X3)|~p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_2E2(s(X1,X2),s(X1,X3)))))).
% 0.14/0.40 cnf(i_0_150, plain, (s(tyop_2Emin_2Ebool,X1)=s(tyop_2Emin_2Ebool,X2)|~epred1_3(X3,X1,X2)|~p(s(tyop_2Emin_2Ebool,X2))|~p(s(tyop_2Emin_2Ebool,X3)))).
% 0.14/0.40 cnf(i_0_14, plain, (p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool,X1),s(tyop_2Emin_2Ebool,X2))))|~p(s(tyop_2Emin_2Ebool,X1)))).
% 0.14/0.40 cnf(i_0_18, plain, (p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool,X1),s(tyop_2Emin_2Ebool,X2))))|~p(s(tyop_2Emin_2Ebool,X2)))).
% 0.14/0.40 cnf(i_0_34, plain, (p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),c_2Ebool_2E_7E_2E0),s(tyop_2Emin_2Ebool,X1))))|p(s(tyop_2Emin_2Ebool,X1)))).
% 0.14/0.40 cnf(i_0_10, plain, (p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool,X1),s(tyop_2Emin_2Ebool,X2))))|~p(s(tyop_2Emin_2Ebool,X2))|~p(s(tyop_2Emin_2Ebool,X1)))).
% 0.14/0.40 cnf(i_0_27, plain, (p(s(tyop_2Emin_2Ebool,X1))|~p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,X2))),s(tyop_2Emin_2Ebool,X1)))))).
% 0.14/0.40 cnf(i_0_333, plain, (p(s(tyop_2Emin_2Ebool,X1))|p(s(tyop_2Emin_2Ebool,X2))|p(s(tyop_2Emin_2Ebool,X3))|~epred1_3(X1,X2,X3))).
% 0.14/0.40 cnf(i_0_148, plain, (s(tyop_2Emin_2Ebool,X1)=s(tyop_2Emin_2Ebool,X2)|p(s(tyop_2Emin_2Ebool,X1))|~epred1_3(X3,X1,X2)|~p(s(tyop_2Emin_2Ebool,X3)))).
% 0.14/0.40 cnf(i_0_304, plain, (epred1_3(X1,X2,X3)|p(s(tyop_2Emin_2Ebool,X1))|p(s(tyop_2Emin_2Ebool,X2))|~p(s(tyop_2Emin_2Ebool,X3)))).
% 0.14/0.40 cnf(i_0_28, plain, (p(s(tyop_2Emin_2Ebool,X1))|~p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,X1))),s(tyop_2Emin_2Ebool,X2)))))).
% 0.14/0.40 cnf(i_0_35, plain, (p(s(tyop_2Emin_2Ebool,X1))|~p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X2))),s(tyop_2Emin_2Ebool,X1))))|~p(s(tyop_2Emin_2Ebool,X2)))).
% 0.14/0.40 cnf(i_0_30, plain, (p(s(tyop_2Emin_2Ebool,X1))|p(s(tyop_2Emin_2Ebool,X2))|~p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,X1))),s(tyop_2Emin_2Ebool,X2)))))).
% 0.14/0.40 cnf(i_0_31, plain, (p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,X1))),s(tyop_2Emin_2Ebool,X2))))|~p(s(tyop_2Emin_2Ebool,X2)))).
% 0.14/0.40 cnf(i_0_21, plain, (p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_2E2(s(X1,X2),s(X1,X3))))|s(X1,X2)!=s(X1,X3))).
% 0.14/0.40 cnf(i_0_23, plain, (p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2))))|~p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,esk2_2(X1,X2))))))).
% 0.14/0.40 cnf(i_0_38, plain, (s(X1,X2)=s(X1,X3)|~p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(X1,X2))),s(X1,X3)))))).
% 0.14/0.40 cnf(i_0_25, plain, (p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2))))|~p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,X3)))))).
% 0.14/0.40 cnf(i_0_24, plain, (p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,X3))))|~p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2)))))).
% 0.14/0.40 cnf(i_0_32, plain, (p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,X1))),s(tyop_2Emin_2Ebool,X2))))|~p(s(tyop_2Emin_2Ebool,X1)))).
% 0.14/0.40 cnf(i_0_36, plain, (p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X1))),s(tyop_2Emin_2Ebool,X2))))|~p(s(tyop_2Emin_2Ebool,X2)))).
% 0.14/0.40 cnf(i_0_37, plain, (p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X1))),s(tyop_2Emin_2Ebool,X2))))|p(s(tyop_2Emin_2Ebool,X1)))).
% 0.14/0.40 cnf(i_0_29, plain, (p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,X1))),s(tyop_2Emin_2Ebool,X2))))|~p(s(tyop_2Emin_2Ebool,X2))|~p(s(tyop_2Emin_2Ebool,X1)))).
% 0.14/0.40 cnf(i_0_26, plain, (p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,esk3_2(X1,X2)))))|~p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2)))))).
% 0.14/0.40 cnf(i_0_83, plain, (p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,esk4_2(X1,X2)))))|~p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,X3)))))).
% 0.14/0.40 cnf(i_0_82, plain, (p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,esk5_2(X1,X2)))))|~p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,X3)))))).
% 0.14/0.40 cnf(i_0_1, plain, (s(tyop_2Emin_2Efun(X1,X2),X3)=s(tyop_2Emin_2Efun(X1,X2),X4)|s(X2,app_2E2(s(tyop_2Emin_2Efun(X1,X2),X3),s(X1,esk1_4(X1,X2,X3,X4))))!=s(X2,app_2E2(s(tyop_2Emin_2Efun(X1,X2),X4),s(X1,esk1_4(X1,X2,X3,X4)))))).
% 0.14/0.40 cnf(i_0_87, plain, (p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,X3))))|~p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,esk6_3(X1,X2,X4)))))|~p(s(tyop_2Emin_2Ebool,X4)))).
% 0.14/0.40 cnf(i_0_85, plain, (p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,X3))))|~p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,esk7_3(X1,X2,X4)))))|~p(s(tyop_2Emin_2Ebool,X4)))).
% 0.14/0.40 cnf(i_0_90, plain, (p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,X3))))|~p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,esk8_3(X1,X4,X2)))))|~p(s(tyop_2Emin_2Ebool,X4)))).
% 0.14/0.40 cnf(i_0_88, plain, (p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,X3))))|~p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,esk9_3(X1,X4,X2)))))|~p(s(tyop_2Emin_2Ebool,X4)))).
% 0.14/0.40 cnf(i_0_95, plain, (p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,esk10_3(X1,X2,X3)))))|p(s(tyop_2Emin_2Ebool,X3))|~p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,X4)))))).
% 0.14/0.40 cnf(i_0_39, plain, (p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(X1,X2))),s(X1,X3))))|s(X1,X2)!=s(X1,X3))).
% 0.14/0.40 cnf(i_0_103, plain, (p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,esk14_3(X1,X2,X3)))))|~p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,X4))))|~p(s(tyop_2Emin_2Ebool,X3)))).
% 0.14/0.40 cnf(i_0_101, plain, (p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,esk15_3(X1,X2,X3)))))|~p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,X4))))|~p(s(tyop_2Emin_2Ebool,X3)))).
% 0.14/0.40 cnf(i_0_106, plain, (p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,esk16_3(X1,X3,X2)))))|~p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,X4))))|~p(s(tyop_2Emin_2Ebool,X3)))).
% 0.14/0.40 cnf(i_0_104, plain, (p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,esk17_3(X1,X3,X2)))))|~p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,X4))))|~p(s(tyop_2Emin_2Ebool,X3)))).
% 0.14/0.40 cnf(i_0_93, plain, (p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,esk11_3(X1,X2,X3)))))|p(s(tyop_2Emin_2Ebool,X3))|~p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,X4)))))).
% 0.14/0.40 cnf(i_0_111, plain, (p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,X3))))|p(s(tyop_2Emin_2Ebool,X4))|~p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,esk18_3(X1,X4,X2))))))).
% 0.14/0.40 cnf(i_0_109, plain, (p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,X3))))|p(s(tyop_2Emin_2Ebool,X4))|~p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,esk19_3(X1,X4,X2))))))).
% 0.14/0.40 cnf(i_0_114, plain, (p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,X3))))|p(s(tyop_2Emin_2Ebool,X4))|~p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,esk20_3(X1,X4,X2))))))).
% 0.14/0.40 cnf(i_0_112, plain, (p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,X3))))|p(s(tyop_2Emin_2Ebool,X4))|~p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,esk21_3(X1,X4,X2))))))).
% 0.14/0.40 cnf(i_0_98, plain, (p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,esk12_3(X1,X3,X2)))))|p(s(tyop_2Emin_2Ebool,X3))|~p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,X4)))))).
% 0.14/0.40 cnf(i_0_96, plain, (p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,esk13_3(X1,X3,X2)))))|p(s(tyop_2Emin_2Ebool,X3))|~p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,X4)))))).
% 0.14/0.40 cnf(i_0_123, plain, (p(s(tyop_2Emin_2Ebool,c_2Epred__set_2EBIJ_2E3(s(tyop_2Emin_2Efun(X1,X2),esk26_4(X2,X1,X3,X4)),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X4),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X3))))|~p(s(tyop_2Emin_2Ebool,c_2Epred__set_2EBIJ_2E3(s(tyop_2Emin_2Efun(X2,X1),X5),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X4)))))).
% 0.14/0.40 cnf(i_0_122, plain, (p(s(tyop_2Emin_2Ebool,c_2Epred__set_2EBIJ_2E3(s(tyop_2Emin_2Efun(X1,X2),esk27_4(X1,X2,X3,X4)),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X4))))|~p(s(tyop_2Emin_2Ebool,c_2Epred__set_2EBIJ_2E3(s(tyop_2Emin_2Efun(X2,X1),X5),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3)))))).
% 0.14/0.40 cnf(i_0_120, plain, (p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X3),s(X2,X4))),s(X1,esk25_4(X2,X1,X3,X4)))))|~p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X3),s(X2,esk24_4(X2,X1,X3,X5)))),s(X1,app_2E2(s(tyop_2Emin_2Efun(X2,X1),X5),s(X2,esk24_4(X2,X1,X3,X5))))))))).
% 0.14/0.40 cnf(i_0_121, plain, (p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X3),s(X2,X4))),s(X1,app_2E2(s(tyop_2Emin_2Efun(X2,X1),esk23_3(X2,X1,X3)),s(X2,X4))))))|~p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X3),s(X2,esk22_3(X2,X1,X3)))),s(X1,X5)))))).
% 0.14/0.40 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 0.14/0.40 # Begin printing tableau
% 0.14/0.40 # Found 3 steps
% 0.14/0.40 cnf(i_0_303, negated_conjecture, (~p(s(tyop_2Emin_2Ebool,c_2Epred__set_2EBIJ_2E3(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Enum_2Enum)),esk26_4(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Enum_2Enum),tyop_2Enum_2Enum,c_2Epred__set_2ECROSS_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0)),c_2Epred__set_2EUNIV_2E0)),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Enum_2Enum),tyop_2Emin_2Ebool),c_2Epred__set_2ECROSS_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0))))))), inference(start_rule)).
% 0.14/0.40 cnf(i_0_334, plain, (~p(s(tyop_2Emin_2Ebool,c_2Epred__set_2EBIJ_2E3(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Enum_2Enum)),esk26_4(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Enum_2Enum),tyop_2Enum_2Enum,c_2Epred__set_2ECROSS_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0)),c_2Epred__set_2EUNIV_2E0)),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Enum_2Enum),tyop_2Emin_2Ebool),c_2Epred__set_2ECROSS_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0))))))), inference(extension_rule, [i_0_123])).
% 0.14/0.40 cnf(i_0_514, plain, (~p(s(tyop_2Emin_2Ebool,c_2Epred__set_2EBIJ_2E3(s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Enum_2Enum),tyop_2Enum_2Enum),esk28_0),s(tyop_2Emin_2Efun(tyop_2Epair_2Eprod(tyop_2Enum_2Enum,tyop_2Enum_2Enum),tyop_2Emin_2Ebool),c_2Epred__set_2ECROSS_2E2(s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0))),s(tyop_2Emin_2Efun(tyop_2Enum_2Enum,tyop_2Emin_2Ebool),c_2Epred__set_2EUNIV_2E0))))), inference(closure_rule, [i_0_302])).
% 0.14/0.40 # End printing tableau
% 0.14/0.40 # SZS output end
% 0.14/0.40 # Branches closed with saturation will be marked with an "s"
% 0.14/0.40 # Returning from population with 39 new_tableaux and 0 remaining starting tableaux.
% 0.14/0.40 # We now have 39 tableaux to operate on
% 0.14/0.40 # Found closed tableau during pool population.
% 0.14/0.40 # Proof search is over...
% 0.14/0.40 # Freeing feature tree
%------------------------------------------------------------------------------