TSTP Solution File: NUM410+1 by Etableau---0.67

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : NUM410+1 : TPTP v8.1.0. Released v3.2.0.
% 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 : n029.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 : Mon Jul 18 09:40:46 EDT 2022

% Result   : Theorem 0.14s 0.39s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : NUM410+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13  % Command  : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.14/0.35  % Computer : n029.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Tue Jul  5 15:16:57 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.14/0.38  # No SInE strategy applied
% 0.14/0.38  # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.14/0.38  # and selection function SelectComplexExceptUniqMaxHorn.
% 0.14/0.38  #
% 0.14/0.38  # Presaturation interreduction done
% 0.14/0.38  # Number of axioms: 93 Number of unprocessed: 87
% 0.14/0.38  # Tableaux proof search.
% 0.14/0.38  # APR header successfully linked.
% 0.14/0.38  # Hello from C++
% 0.14/0.38  # The folding up rule is enabled...
% 0.14/0.38  # Local unification is enabled...
% 0.14/0.38  # Any saturation attempts will use folding labels...
% 0.14/0.38  # 87 beginning clauses after preprocessing and clausification
% 0.14/0.38  # Creating start rules for all 4 conjectures.
% 0.14/0.38  # There are 4 start rule candidates:
% 0.14/0.38  # Found 54 unit axioms.
% 0.14/0.38  # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.14/0.38  # 4 start rule tableaux created.
% 0.14/0.38  # 33 extension rule candidate clauses
% 0.14/0.38  # 54 unit axiom clauses
% 0.14/0.38  
% 0.14/0.38  # Requested 8, 32 cores available to the main process.
% 0.14/0.38  # There are not enough tableaux to fork, creating more from the initial 4
% 0.14/0.38  # Returning from population with 11 new_tableaux and 0 remaining starting tableaux.
% 0.14/0.38  # We now have 11 tableaux to operate on
% 0.14/0.39  # There were 1 total branch saturation attempts.
% 0.14/0.39  # There were 0 of these attempts blocked.
% 0.14/0.39  # There were 0 deferred branch saturation attempts.
% 0.14/0.39  # There were 0 free duplicated saturations.
% 0.14/0.39  # There were 1 total successful branch saturations.
% 0.14/0.39  # There were 0 successful branch saturations in interreduction.
% 0.14/0.39  # There were 0 successful branch saturations on the branch.
% 0.14/0.39  # There were 1 successful branch saturations after the branch.
% 0.14/0.39  # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.39  # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.39  # Begin clausification derivation
% 0.14/0.39  
% 0.14/0.39  # End clausification derivation
% 0.14/0.39  # Begin listing active clauses obtained from FOF to CNF conversion
% 0.14/0.39  cnf(i_0_89, negated_conjecture, (function(esk17_0))).
% 0.14/0.39  cnf(i_0_90, negated_conjecture, (relation(esk17_0))).
% 0.14/0.39  cnf(i_0_88, negated_conjecture, (ordinal(relation_dom(esk17_0)))).
% 0.14/0.39  cnf(i_0_31, plain, (function(empty_set))).
% 0.14/0.39  cnf(i_0_24, plain, (empty(empty_set))).
% 0.14/0.39  cnf(i_0_43, plain, (function(esk3_0))).
% 0.14/0.39  cnf(i_0_51, plain, (function(esk7_0))).
% 0.14/0.39  cnf(i_0_59, plain, (function(esk8_0))).
% 0.14/0.39  cnf(i_0_65, plain, (function(esk11_0))).
% 0.14/0.39  cnf(i_0_73, plain, (function(esk14_0))).
% 0.14/0.39  cnf(i_0_77, plain, (function(esk15_0))).
% 0.14/0.39  cnf(i_0_79, plain, (function(esk16_0))).
% 0.14/0.39  cnf(i_0_49, plain, (empty(esk5_0))).
% 0.14/0.39  cnf(i_0_50, plain, (empty(esk6_0))).
% 0.14/0.39  cnf(i_0_26, plain, (ordinal(empty_set))).
% 0.14/0.39  cnf(i_0_45, plain, (ordinal(esk4_0))).
% 0.14/0.39  cnf(i_0_54, plain, (ordinal(esk8_0))).
% 0.14/0.39  cnf(i_0_67, plain, (ordinal(esk12_0))).
% 0.14/0.39  cnf(i_0_23, plain, (relation(empty_set))).
% 0.14/0.39  cnf(i_0_52, plain, (empty(esk7_0))).
% 0.14/0.39  cnf(i_0_57, plain, (empty(esk8_0))).
% 0.14/0.39  cnf(i_0_28, plain, (epsilon_transitive(empty_set))).
% 0.14/0.39  cnf(i_0_47, plain, (epsilon_transitive(esk4_0))).
% 0.14/0.39  cnf(i_0_56, plain, (epsilon_transitive(esk8_0))).
% 0.14/0.39  cnf(i_0_44, plain, (relation(esk3_0))).
% 0.14/0.39  cnf(i_0_48, plain, (relation(esk5_0))).
% 0.14/0.39  cnf(i_0_53, plain, (relation(esk7_0))).
% 0.14/0.39  cnf(i_0_60, plain, (relation(esk8_0))).
% 0.14/0.39  cnf(i_0_69, plain, (epsilon_transitive(esk12_0))).
% 0.14/0.39  cnf(i_0_61, plain, (relation(esk9_0))).
% 0.14/0.39  cnf(i_0_27, plain, (epsilon_connected(empty_set))).
% 0.14/0.39  cnf(i_0_46, plain, (epsilon_connected(esk4_0))).
% 0.14/0.39  cnf(i_0_55, plain, (epsilon_connected(esk8_0))).
% 0.14/0.39  cnf(i_0_68, plain, (epsilon_connected(esk12_0))).
% 0.14/0.39  cnf(i_0_66, plain, (relation(esk11_0))).
% 0.14/0.39  cnf(i_0_72, plain, (relation(esk13_0))).
% 0.14/0.39  cnf(i_0_75, plain, (relation(esk14_0))).
% 0.14/0.39  cnf(i_0_78, plain, (relation(esk15_0))).
% 0.14/0.39  cnf(i_0_81, plain, (relation(esk16_0))).
% 0.14/0.39  cnf(i_0_30, plain, (one_to_one(empty_set))).
% 0.14/0.39  cnf(i_0_58, plain, (one_to_one(esk8_0))).
% 0.14/0.39  cnf(i_0_64, plain, (one_to_one(esk11_0))).
% 0.14/0.39  cnf(i_0_76, plain, (transfinite_sequence(esk15_0))).
% 0.14/0.39  cnf(i_0_22, plain, (relation_empty_yielding(empty_set))).
% 0.14/0.39  cnf(i_0_71, plain, (relation_empty_yielding(esk13_0))).
% 0.14/0.39  cnf(i_0_74, plain, (relation_empty_yielding(esk14_0))).
% 0.14/0.39  cnf(i_0_80, plain, (relation_non_empty(esk16_0))).
% 0.14/0.39  cnf(i_0_82, plain, (subset(X1,X1))).
% 0.14/0.39  cnf(i_0_20, plain, (transfinite_sequence_of(esk1_1(X1),X1))).
% 0.14/0.39  cnf(i_0_21, plain, (element(esk2_1(X1),X1))).
% 0.14/0.39  cnf(i_0_87, negated_conjecture, (~transfinite_sequence_of(esk17_0,relation_rng(esk17_0)))).
% 0.14/0.39  cnf(i_0_62, plain, (~empty(esk9_0))).
% 0.14/0.39  cnf(i_0_63, plain, (~empty(esk10_0))).
% 0.14/0.39  cnf(i_0_70, plain, (~empty(esk12_0))).
% 0.14/0.39  cnf(i_0_94, plain, (~empty(X1)|~in(X2,X1))).
% 0.14/0.39  cnf(i_0_2, plain, (function(X1)|~empty(X1))).
% 0.14/0.39  cnf(i_0_10, plain, (ordinal(X1)|~empty(X1))).
% 0.14/0.39  cnf(i_0_93, plain, (X1=empty_set|~empty(X1))).
% 0.14/0.39  cnf(i_0_12, plain, (epsilon_transitive(X1)|~empty(X1))).
% 0.14/0.39  cnf(i_0_4, plain, (epsilon_transitive(X1)|~ordinal(X1))).
% 0.14/0.39  cnf(i_0_11, plain, (epsilon_connected(X1)|~empty(X1))).
% 0.14/0.39  cnf(i_0_3, plain, (epsilon_connected(X1)|~ordinal(X1))).
% 0.14/0.39  cnf(i_0_5, plain, (relation(X1)|~empty(X1))).
% 0.14/0.39  cnf(i_0_39, plain, (relation(relation_dom(X1))|~empty(X1))).
% 0.14/0.39  cnf(i_0_41, plain, (relation(relation_rng(X1))|~empty(X1))).
% 0.14/0.39  cnf(i_0_18, plain, (function(X1)|~transfinite_sequence_of(X1,X2))).
% 0.14/0.39  cnf(i_0_19, plain, (relation(X1)|~transfinite_sequence_of(X1,X2))).
% 0.14/0.39  cnf(i_0_95, plain, (X1=X2|~empty(X2)|~empty(X1))).
% 0.14/0.39  cnf(i_0_1, plain, (~in(X1,X2)|~in(X2,X1))).
% 0.14/0.39  cnf(i_0_9, plain, (ordinal(X1)|~epsilon_connected(X1)|~epsilon_transitive(X1))).
% 0.14/0.39  cnf(i_0_83, plain, (element(X1,X2)|~in(X1,X2))).
% 0.14/0.39  cnf(i_0_17, plain, (transfinite_sequence(X1)|~transfinite_sequence_of(X1,X2))).
% 0.14/0.39  cnf(i_0_40, plain, (empty(relation_dom(X1))|~empty(X1))).
% 0.14/0.39  cnf(i_0_42, plain, (empty(relation_rng(X1))|~empty(X1))).
% 0.14/0.39  cnf(i_0_14, plain, (ordinal(relation_dom(X1))|~transfinite_sequence(X1)|~relation(X1)|~function(X1))).
% 0.14/0.39  cnf(i_0_13, plain, (transfinite_sequence(X1)|~relation(X1)|~ordinal(relation_dom(X1))|~function(X1))).
% 0.14/0.39  cnf(i_0_6,# There were 1 total branch saturation attempts.
% 0.14/0.39  # There were 0 of these attempts blocked.
% 0.14/0.39  # There were 0 deferred branch saturation attempts.
% 0.14/0.39  # There were 0 free duplicated saturations.
% 0.14/0.39  # There were 1 total successful branch saturations.
% 0.14/0.39  # There were 0 successful branch saturations in interreduction.
% 0.14/0.39  # There were 0 successful branch saturations on the branch.
% 0.14/0.39  # There were 1 successful branch saturations after the branch.
% 0.14/0.39  # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.39  # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.39  # Begin clausification derivation
% 0.14/0.39  
% 0.14/0.39  # End clausification derivation
% 0.14/0.39  # Begin listing active clauses obtained from FOF to CNF conversion
% 0.14/0.39  cnf(i_0_89, negated_conjecture, (function(esk17_0))).
% 0.14/0.39  cnf(i_0_90, negated_conjecture, (relation(esk17_0))).
% 0.14/0.39  cnf(i_0_88, negated_conjecture, (ordinal(relation_dom(esk17_0)))).
% 0.14/0.39  cnf(i_0_31, plain, (function(empty_set))).
% 0.14/0.39  cnf(i_0_24, plain, (empty(empty_set))).
% 0.14/0.39  cnf(i_0_43, plain, (function(esk3_0))).
% 0.14/0.39  cnf(i_0_51, plain, (function(esk7_0))).
% 0.14/0.39  cnf(i_0_59, plain, (function(esk8_0))).
% 0.14/0.39  cnf(i_0_65, plain, (function(esk11_0))).
% 0.14/0.39  cnf(i_0_73, plain, (function(esk14_0))).
% 0.14/0.39  cnf(i_0_77, plain, (function(esk15_0))).
% 0.14/0.39  cnf(i_0_79, plain, (function(esk16_0))).
% 0.14/0.39  cnf(i_0_49, plain, (empty(esk5_0))).
% 0.14/0.39  cnf(i_0_50, plain, (empty(esk6_0))).
% 0.14/0.39  cnf(i_0_26, plain, (ordinal(empty_set))).
% 0.14/0.39  cnf(i_0_45, plain, (ordinal(esk4_0))).
% 0.14/0.39  cnf(i_0_54, plain, (ordinal(esk8_0))).
% 0.14/0.39  cnf(i_0_67, plain, (ordinal(esk12_0))).
% 0.14/0.39  cnf(i_0_23, plain, (relation(empty_set))).
% 0.14/0.39  cnf(i_0_52, plain, (empty(esk7_0))).
% 0.14/0.39  cnf(i_0_57, plain, (empty(esk8_0))).
% 0.14/0.39  cnf(i_0_28, plain, (epsilon_transitive(empty_set))).
% 0.14/0.39  cnf(i_0_47, plain, (epsilon_transitive(esk4_0))).
% 0.14/0.39  cnf(i_0_56, plain, (epsilon_transitive(esk8_0))).
% 0.14/0.39  cnf(i_0_44, plain, (relation(esk3_0))).
% 0.14/0.39  cnf(i_0_48, plain, (relation(esk5_0))).
% 0.14/0.39  cnf(i_0_53, plain, (relation(esk7_0))).
% 0.14/0.39  cnf(i_0_60, plain, (relation(esk8_0))).
% 0.14/0.39  cnf(i_0_69, plain, (epsilon_transitive(esk12_0))).
% 0.14/0.39  cnf(i_0_61, plain, (relation(esk9_0))).
% 0.14/0.39  cnf(i_0_27, plain, (epsilon_connected(empty_set))).
% 0.14/0.39  cnf(i_0_46, plain, (epsilon_connected(esk4_0))).
% 0.14/0.39  cnf(i_0_55, plain, (epsilon_connected(esk8_0))).
% 0.14/0.39  cnf(i_0_68, plain, (epsilon_connected(esk12_0))).
% 0.14/0.39  cnf(i_0_66, plain, (relation(esk11_0))).
% 0.14/0.39  cnf(i_0_72, plain, (relation(esk13_0))).
% 0.14/0.39  cnf(i_0_75, plain, (relation(esk14_0))).
% 0.14/0.39  cnf(i_0_78, plain, (relation(esk15_0))).
% 0.14/0.39  cnf(i_0_81, plain, (relation(esk16_0))).
% 0.14/0.39  cnf(i_0_30, plain, (one_to_one(empty_set))).
% 0.14/0.39  cnf(i_0_58, plain, (one_to_one(esk8_0))).
% 0.14/0.39  cnf(i_0_64, plain, (one_to_one(esk11_0))).
% 0.14/0.39  cnf(i_0_76, plain, (transfinite_sequence(esk15_0))).
% 0.14/0.39  cnf(i_0_22, plain, (relation_empty_yielding(empty_set))).
% 0.14/0.39  cnf(i_0_71, plain, (relation_empty_yielding(esk13_0))).
% 0.14/0.39  cnf(i_0_74, plain, (relation_empty_yielding(esk14_0))).
% 0.14/0.39  cnf(i_0_80, plain, (relation_non_empty(esk16_0))).
% 0.14/0.39  cnf(i_0_82, plain, (subset(X1,X1))).
% 0.14/0.39  cnf(i_0_20, plain, (transfinite_sequence_of(esk1_1(X1),X1))).
% 0.14/0.39  cnf(i_0_21, plain, (element(esk2_1(X1),X1))).
% 0.14/0.39  cnf(i_0_87, negated_conjecture, (~transfinite_sequence_of(esk17_0,relation_rng(esk17_0)))).
% 0.14/0.39  cnf(i_0_62, plain, (~empty(esk9_0))).
% 0.14/0.39  cnf(i_0_63, plain, (~empty(esk10_0))).
% 0.14/0.39  cnf(i_0_70, plain, (~empty(esk12_0))).
% 0.14/0.39  cnf(i_0_94, plain, (~empty(X1)|~in(X2,X1))).
% 0.14/0.39  cnf(i_0_2, plain, (function(X1)|~empty(X1))).
% 0.14/0.39  cnf(i_0_10, plain, (ordinal(X1)|~empty(X1))).
% 0.14/0.39  cnf(i_0_93, plain, (X1=empty_set|~empty(X1))).
% 0.14/0.39  cnf(i_0_12, plain, (epsilon_transitive(X1)|~empty(X1))).
% 0.14/0.39  cnf(i_0_4, plain, (epsilon_transitive(X1)|~ordinal(X1))).
% 0.14/0.39  cnf(i_0_11, plain, (epsilon_connected(X1)|~empty(X1))).
% 0.14/0.39  cnf(i_0_3, plain, (epsilon_connected(X1)|~ordinal(X1))).
% 0.14/0.39  cnf(i_0_5, plain, (relation(X1)|~empty(X1))).
% 0.14/0.39  cnf(i_0_39, plain, (relation(relation_dom(X1))|~empty(X1))).
% 0.14/0.39  cnf(i_0_41, plain, (relation(relation_rng(X1))|~empty(X1))).
% 0.14/0.39  cnf(i_0_18, plain, (function(X1)|~transfinite_sequence_of(X1,X2))).
% 0.14/0.39  cnf(i_0_19, plain, (relation(X1)|~transfinite_sequence_of(X1,X2))).
% 0.14/0.39  cnf(i_0_95, plain, (X1=X2|~empty(X2)|~empty(X1))).
% 0.14/0.39  cnf(i_0_1, plain, (~in(X1,X2)|~in(X2,X1))).
% 0.14/0.39  cnf(i_0_9, plain, (ordinal(X1)|~epsilon_connected(X1)|~epsilon_transitive(X1))).
% 0.14/0.39  cnf(i_0_83, plain, (element(X1,X2)|~in(X1,X2))).
% 0.14/0.39  cnf(i_0_17, plain, (transfinite_sequence(X1)|~transfinite_sequence_of(X1,X2))).
% 0.14/0.39  cnf(i_0_40, plain, (empty(relation_dom(X1))|~empty(X1))).
% 0.14/0.39  cnf(i_0_42, plain, (empty(relation_rng(X1))|~empty(X1))).
% 0.14/0.39  cnf(i_0_14, plain, (ordinal(relation_dom(X1))|~transfinite_sequence(X1)|~relation(X1)|~function(X1))).
% 0.14/0.39  cnf(i_0_13, plain, (transfinite_sequence(X1)|~relation(X1)|~ordinal(relation_dom(X1))|~function(X1))).
% 0.14/0.39  cnf(i_0_6, plain, (one_to_one(X1)|~empty(X1))).
% 0.14/0.39  cnf(i_0_36, plain, (empty(X1)|~relation(X1)|~empty(relation_dom(X1)))).
% 0.14/0.39  cnf(i_0_38, plain, (empty(X1)|~relation(X1)|~empty(relation_rng(X1)))).
% 0.14/0.39  cnf(i_0_86, plain, (subset(X1,X2)|~element(X1,powerset(X2)))).
% 0.14/0.39  cnf(i_0_92, plain, (~element(X1,powerset(X2))|~empty(X2)|~in(X3,X1))).
% 0.14/0.39  cnf(i_0_85, plain, (element(X1,powerset(X2))|~subset(X1,X2))).
% 0.14/0.39  cnf(i_0_37, plain, (with_non_empty_elements(relation_rng(X1))|~relation_non_empty(X1)|~relation(X1)|~function(X1))).
% 0.14/0.39  cnf(i_0_15, plain, (transfinite_sequence_of(X1,X2)|~subset(relation_rng(X1),X2)|~transfinite_sequence(X1)|~relation(X1)|~function(X1))).
% 0.14/0.39  cnf(i_0_84, plain, (empty(X1)|in(X2,X1)|~element(X2,X1))).
% 0.14/0.39  cnf(i_0_16, plain, (subset(relation_rng(X1),X2)|~transfinite_sequence_of(X1,X2))).
% 0.14/0.39  cnf(i_0_91, plain, (element(X1,X2)|~element(X3,powerset(X2))|~in(X1,X3))).
% 0.14/0.39  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 0.14/0.39  # Begin printing tableau
% 0.14/0.39  # Found 7 steps
% 0.14/0.39  cnf(i_0_87, negated_conjecture, (~transfinite_sequence_of(esk17_0,relation_rng(esk17_0))), inference(start_rule)).
% 0.14/0.39  cnf(i_0_96, plain, (~transfinite_sequence_of(esk17_0,relation_rng(esk17_0))), inference(extension_rule, [i_0_15])).
% 0.14/0.39  cnf(i_0_170, plain, (~subset(relation_rng(esk17_0),relation_rng(esk17_0))), inference(closure_rule, [i_0_82])).
% 0.14/0.39  cnf(i_0_172, plain, (~relation(esk17_0)), inference(closure_rule, [i_0_90])).
% 0.14/0.39  cnf(i_0_173, plain, (~function(esk17_0)), inference(closure_rule, [i_0_89])).
% 0.14/0.39  cnf(i_0_171, plain, (~transfinite_sequence(esk17_0)), inference(extension_rule, [i_0_17])).
% 0.14/0.39  cnf(i_0_465, plain, (~transfinite_sequence_of(esk17_0,X4)), inference(etableau_closure_rule, [i_0_465, ...])).
% 0.14/0.39  # End printing tableau
% 0.14/0.39  # SZS output end
% 0.14/0.39  # Branches closed with saturation will be marked with an "s"
% 0.14/0.39   plain, (one_to_one(X1)|~empty(X1))).
% 0.14/0.39  cnf(i_0_36, plain, (empty(X1)|~relation(X1)|~empty(relation_dom(X1)))).
% 0.14/0.39  cnf(i_0_38, plain, (empty(X1)|~relation(X1)|~empty(relation_rng(X1)))).
% 0.14/0.39  cnf(i_0_86, plain, (subset(X1,X2)|~element(X1,powerset(X2)))).
% 0.14/0.39  cnf(i_0_92, plain, (~element(X1,powerset(X2))|~empty(X2)|~in(X3,X1))).
% 0.14/0.39  cnf(i_0_85, plain, (element(X1,powerset(X2))|~subset(X1,X2))).
% 0.14/0.39  cnf(i_0_37, plain, (with_non_empty_elements(relation_rng(X1))|~relation_non_empty(X1)|~relation(X1)|~function(X1))).
% 0.14/0.39  cnf(i_0_15, plain, (transfinite_sequence_of(X1,X2)|~subset(relation_rng(X1),X2)|~transfinite_sequence(X1)|~relation(X1)|~function(X1))).
% 0.14/0.39  cnf(i_0_84, plain, (empty(X1)|in(X2,X1)|~element(X2,X1))).
% 0.14/0.39  cnf(i_0_16, plain, (subset(relation_rng(X1),X2)|~transfinite_sequence_of(X1,X2))).
% 0.14/0.39  cnf(i_0_91, plain, (element(X1,X2)|~element(X3,powerset(X2))|~in(X1,X3))).
% 0.14/0.39  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 0.14/0.39  # Begin printing tableau
% 0.14/0.39  # Found 7 steps
% 0.14/0.39  cnf(i_0_90, negated_conjecture, (relation(esk17_0)), inference(start_rule)).
% 0.14/0.39  cnf(i_0_98, plain, (relation(esk17_0)), inference(extension_rule, [i_0_15])).
% 0.14/0.39  cnf(i_0_333, plain, (transfinite_sequence_of(esk17_0,relation_rng(esk17_0))), inference(closure_rule, [i_0_87])).
% 0.14/0.39  cnf(i_0_334, plain, (~subset(relation_rng(esk17_0),relation_rng(esk17_0))), inference(closure_rule, [i_0_82])).
% 0.14/0.39  cnf(i_0_337, plain, (~function(esk17_0)), inference(closure_rule, [i_0_89])).
% 0.14/0.39  cnf(i_0_335, plain, (~transfinite_sequence(esk17_0)), inference(extension_rule, [i_0_17])).
% 0.14/0.39  cnf(i_0_383, plain, (~transfinite_sequence_of(esk17_0,X4)), inference(etableau_closure_rule, [i_0_383, ...])).
% 0.14/0.39  # End printing tableau
% 0.14/0.39  # SZS output end
% 0.14/0.39  # Branches closed with saturation will be marked with an "s"
% 0.14/0.39  # Child (25184) has found a proof.
% 0.14/0.39  
% 0.14/0.39  # Proof search is over...
% 0.14/0.39  # Freeing feature tree
%------------------------------------------------------------------------------