TSTP Solution File: NUM404+1 by Etableau---0.67
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : NUM404+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 : n018.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 09:40:44 EDT 2022
% Result : Theorem 0.19s 0.46s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : NUM404+1 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.13 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.12/0.34 % Computer : n018.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Wed Jul 6 08:21:53 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.38 # No SInE strategy applied
% 0.19/0.38 # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_S2m
% 0.19/0.38 # and selection function SelectCQArNTNpEqFirst.
% 0.19/0.38 #
% 0.19/0.38 # Presaturation interreduction done
% 0.19/0.38 # Number of axioms: 90 Number of unprocessed: 81
% 0.19/0.38 # Tableaux proof search.
% 0.19/0.38 # APR header successfully linked.
% 0.19/0.38 # Hello from C++
% 0.19/0.38 # The folding up rule is enabled...
% 0.19/0.38 # Local unification is enabled...
% 0.19/0.38 # Any saturation attempts will use folding labels...
% 0.19/0.38 # 81 beginning clauses after preprocessing and clausification
% 0.19/0.38 # Creating start rules for all 2 conjectures.
% 0.19/0.38 # There are 2 start rule candidates:
% 0.19/0.38 # Found 46 unit axioms.
% 0.19/0.38 # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.19/0.38 # 2 start rule tableaux created.
% 0.19/0.38 # 35 extension rule candidate clauses
% 0.19/0.38 # 46 unit axiom clauses
% 0.19/0.38
% 0.19/0.38 # Requested 8, 32 cores available to the main process.
% 0.19/0.38 # There are not enough tableaux to fork, creating more from the initial 2
% 0.19/0.38 # Returning from population with 13 new_tableaux and 0 remaining starting tableaux.
% 0.19/0.38 # We now have 13 tableaux to operate on
% 0.19/0.46 # Creating equality axioms
% 0.19/0.46 # Ran out of tableaux, making start rules for all clauses
% 0.19/0.46 # Creating equality axioms
% 0.19/0.46 # Ran out of tableaux, making start rules for all clauses
% 0.19/0.46 # There were 1 total branch saturation attempts.
% 0.19/0.46 # There were 0 of these attempts blocked.
% 0.19/0.46 # There were 0 deferred branch saturation attempts.
% 0.19/0.46 # There were 0 free duplicated saturations.
% 0.19/0.46 # There were 1 total successful branch saturations.
% 0.19/0.46 # There were 0 successful branch saturations in interreduction.
% 0.19/0.46 # There were 0 successful branch saturations on the branch.
% 0.19/0.46 # There were 1 successful branch saturations after the branch.
% 0.19/0.46 # SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46 # Begin clausification derivation
% 0.19/0.46
% 0.19/0.46 # End clausification derivation
% 0.19/0.46 # Begin listing active clauses obtained from FOF to CNF conversion
% 0.19/0.46 cnf(i_0_33, plain, (ordinal(empty_set))).
% 0.19/0.46 cnf(i_0_45, plain, (ordinal(esk7_0))).
% 0.19/0.46 cnf(i_0_54, plain, (ordinal(esk11_0))).
% 0.19/0.46 cnf(i_0_67, plain, (ordinal(esk15_0))).
% 0.19/0.46 cnf(i_0_31, plain, (empty(empty_set))).
% 0.19/0.46 cnf(i_0_49, plain, (empty(esk8_0))).
% 0.19/0.46 cnf(i_0_50, plain, (empty(esk9_0))).
% 0.19/0.46 cnf(i_0_52, plain, (empty(esk10_0))).
% 0.19/0.46 cnf(i_0_57, plain, (empty(esk11_0))).
% 0.19/0.46 cnf(i_0_38, plain, (function(empty_set))).
% 0.19/0.46 cnf(i_0_43, plain, (function(esk6_0))).
% 0.19/0.46 cnf(i_0_51, plain, (function(esk10_0))).
% 0.19/0.46 cnf(i_0_59, plain, (function(esk11_0))).
% 0.19/0.46 cnf(i_0_65, plain, (function(esk14_0))).
% 0.19/0.46 cnf(i_0_73, plain, (function(esk17_0))).
% 0.19/0.46 cnf(i_0_76, plain, (function(esk18_0))).
% 0.19/0.46 cnf(i_0_35, plain, (epsilon_transitive(empty_set))).
% 0.19/0.46 cnf(i_0_47, plain, (epsilon_transitive(esk7_0))).
% 0.19/0.46 cnf(i_0_56, plain, (epsilon_transitive(esk11_0))).
% 0.19/0.46 cnf(i_0_69, plain, (epsilon_transitive(esk15_0))).
% 0.19/0.46 cnf(i_0_34, plain, (epsilon_connected(empty_set))).
% 0.19/0.46 cnf(i_0_46, plain, (epsilon_connected(esk7_0))).
% 0.19/0.46 cnf(i_0_55, plain, (epsilon_connected(esk11_0))).
% 0.19/0.46 cnf(i_0_68, plain, (epsilon_connected(esk15_0))).
% 0.19/0.46 cnf(i_0_30, plain, (relation(empty_set))).
% 0.19/0.46 cnf(i_0_44, plain, (relation(esk6_0))).
% 0.19/0.46 cnf(i_0_48, plain, (relation(esk8_0))).
% 0.19/0.46 cnf(i_0_53, plain, (relation(esk10_0))).
% 0.19/0.46 cnf(i_0_60, plain, (relation(esk11_0))).
% 0.19/0.46 cnf(i_0_61, plain, (relation(esk12_0))).
% 0.19/0.46 cnf(i_0_66, plain, (relation(esk14_0))).
% 0.19/0.46 cnf(i_0_72, plain, (relation(esk16_0))).
% 0.19/0.46 cnf(i_0_75, plain, (relation(esk17_0))).
% 0.19/0.46 cnf(i_0_78, plain, (relation(esk18_0))).
% 0.19/0.46 cnf(i_0_37, plain, (one_to_one(empty_set))).
% 0.19/0.46 cnf(i_0_58, plain, (one_to_one(esk11_0))).
% 0.19/0.46 cnf(i_0_64, plain, (one_to_one(esk14_0))).
% 0.19/0.46 cnf(i_0_29, plain, (relation_empty_yielding(empty_set))).
% 0.19/0.46 cnf(i_0_71, plain, (relation_empty_yielding(esk16_0))).
% 0.19/0.46 cnf(i_0_74, plain, (relation_empty_yielding(esk17_0))).
% 0.19/0.46 cnf(i_0_77, plain, (relation_non_empty(esk18_0))).
% 0.19/0.46 cnf(i_0_79, plain, (subset(X1,X1))).
% 0.19/0.46 cnf(i_0_28, plain, (element(esk5_1(X1),X1))).
% 0.19/0.46 cnf(i_0_62, plain, (~empty(esk12_0))).
% 0.19/0.46 cnf(i_0_63, plain, (~empty(esk13_0))).
% 0.19/0.46 cnf(i_0_70, plain, (~empty(esk15_0))).
% 0.19/0.46 cnf(i_0_84, negated_conjecture, (in(X1,esk19_0)|~ordinal(X1))).
% 0.19/0.46 cnf(i_0_85, negated_conjecture, (ordinal(X1)|~in(X1,esk19_0))).
% 0.19/0.46 cnf(i_0_91, plain, (~empty(X1)|~in(X2,X1))).
% 0.19/0.46 cnf(i_0_2, plain, (function(X1)|~empty(X1))).
% 0.19/0.46 cnf(i_0_10, plain, (ordinal(X1)|~empty(X1))).
% 0.19/0.46 cnf(i_0_4, plain, (epsilon_transitive(X1)|~ordinal(X1))).
% 0.19/0.46 cnf(i_0_3, plain, (epsilon_connected(X1)|~ordinal(X1))).
% 0.19/0.46 cnf(i_0_90, plain, (X1=empty_set|~empty(X1))).
% 0.19/0.46 cnf(i_0_12, plain, (epsilon_transitive(X1)|~empty(X1))).
% 0.19/0.46 cnf(i_0_11, plain, (epsilon_connected(X1)|~empty(X1))).
% 0.19/0.46 cnf(i_0_5, plain, (relation(X1)|~empty(X1))).
% 0.19/0.46 cnf(i_0_1, plain, (~in(X1,X2)|~in(X2,X1))).
% 0.19/0.46 cnf(i_0_9, plain, (ordinal(X1)|~epsilon_connected(X1)|~epsilon_transitive(X1))).
% 0.19/0.46 cnf(i_0_81, plain, (ordinal(X1)|~ordinal(X2)|~in(X1,X2))).
% 0.19/0.46 cnf(i_0_17, plain, (epsilon_connected(X1)|esk3_1(X1)!=esk2_1(X1))).
% 0.19/0.46 cnf(i_0_80, plain, (element(X1,X2)|~in(X1,X2))).
% 0.19/0.46 cnf(i_0_92, plain, (X1=X2|~empty(X2)|~empty(X1))).
% 0.19/0.46 cnf(i_0_14, plain, (epsilon_transitive(X1)|in(esk1_1(X1),X1))).
% 0.19/0.46 cnf(i_0_13, plain, (epsilon_transitive(X1)|~subset(esk1_1(X1),X1))).
% 0.19/0.46 cnf(i_0_87, plain, (subset(X1,X2)|~element(X1,powerset(X2)))).
% 0.19/0.46 cnf(i_0_18, plain, (epsilon_connected(X1)|~in(esk2_1(X1),esk3_1(X1)))).
% 0.19/0.46 cnf(i_0_16, plain, (epsilon_connected(X1)|~in(esk3_1(X1),esk2_1(X1)))).
% 0.19/0.46 cnf(i_0_20, plain, (epsilon_connected(X1)|in(esk2_1(X1),X1))).
% 0.19/0.46 cnf(i_0_19, plain, (epsilon_connected(X1)|in(esk3_1(X1),X1))).
% 0.19/0.46 cnf(i_0_6, plain, (one_to_one(X1)|~empty(X1))).
% 0.19/0.46 cnf(i_0_22, plain, (subset(X1,X2)|~in(esk4_2(X1,X2),X2))).
% 0.19/0.46 cnf(i_0_83, plain, (empty(X1)|in(X2,X1)|~element(X2,X1))).
% 0.19/0.46 cnf(i_0_86, plain, (element(X1,powerset(X2))|~subset(X1,X2))).
% 0.19/0.46 cnf(i_0_15, plain, (subset(X1,X2)|~epsilon_transitive(X2)|~in(X1,X2))).
% 0.19/0.46 cnf(i_0_89, plain, (~element(X1,powerset(X2))|~empty(X2)|~in(X3,X1))).
% 0.19/0.46 cnf(i_0_24, plain, (in(X1,X2)|~# There were 1 total branch saturation attempts.
% 0.19/0.46 # There were 0 of these attempts blocked.
% 0.19/0.46 # There were 0 deferred branch saturation attempts.
% 0.19/0.46 # There were 0 free duplicated saturations.
% 0.19/0.46 # There were 1 total successful branch saturations.
% 0.19/0.46 # There were 0 successful branch saturations in interreduction.
% 0.19/0.46 # There were 0 successful branch saturations on the branch.
% 0.19/0.46 # There were 1 successful branch saturations after the branch.
% 0.19/0.46 # SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46 # Begin clausification derivation
% 0.19/0.46
% 0.19/0.46 # End clausification derivation
% 0.19/0.46 # Begin listing active clauses obtained from FOF to CNF conversion
% 0.19/0.46 cnf(i_0_33, plain, (ordinal(empty_set))).
% 0.19/0.46 cnf(i_0_45, plain, (ordinal(esk7_0))).
% 0.19/0.46 cnf(i_0_54, plain, (ordinal(esk11_0))).
% 0.19/0.46 cnf(i_0_67, plain, (ordinal(esk15_0))).
% 0.19/0.46 cnf(i_0_31, plain, (empty(empty_set))).
% 0.19/0.46 cnf(i_0_49, plain, (empty(esk8_0))).
% 0.19/0.46 cnf(i_0_50, plain, (empty(esk9_0))).
% 0.19/0.46 cnf(i_0_52, plain, (empty(esk10_0))).
% 0.19/0.46 cnf(i_0_57, plain, (empty(esk11_0))).
% 0.19/0.46 cnf(i_0_38, plain, (function(empty_set))).
% 0.19/0.46 cnf(i_0_43, plain, (function(esk6_0))).
% 0.19/0.46 cnf(i_0_51, plain, (function(esk10_0))).
% 0.19/0.46 cnf(i_0_59, plain, (function(esk11_0))).
% 0.19/0.46 cnf(i_0_65, plain, (function(esk14_0))).
% 0.19/0.46 cnf(i_0_73, plain, (function(esk17_0))).
% 0.19/0.46 cnf(i_0_76, plain, (function(esk18_0))).
% 0.19/0.46 cnf(i_0_35, plain, (epsilon_transitive(empty_set))).
% 0.19/0.46 cnf(i_0_47, plain, (epsilon_transitive(esk7_0))).
% 0.19/0.46 cnf(i_0_56, plain, (epsilon_transitive(esk11_0))).
% 0.19/0.46 cnf(i_0_69, plain, (epsilon_transitive(esk15_0))).
% 0.19/0.46 cnf(i_0_34, plain, (epsilon_connected(empty_set))).
% 0.19/0.46 cnf(i_0_46, plain, (epsilon_connected(esk7_0))).
% 0.19/0.46 cnf(i_0_55, plain, (epsilon_connected(esk11_0))).
% 0.19/0.46 cnf(i_0_68, plain, (epsilon_connected(esk15_0))).
% 0.19/0.46 cnf(i_0_30, plain, (relation(empty_set))).
% 0.19/0.46 cnf(i_0_44, plain, (relation(esk6_0))).
% 0.19/0.46 cnf(i_0_48, plain, (relation(esk8_0))).
% 0.19/0.46 cnf(i_0_53, plain, (relation(esk10_0))).
% 0.19/0.46 cnf(i_0_60, plain, (relation(esk11_0))).
% 0.19/0.46 cnf(i_0_61, plain, (relation(esk12_0))).
% 0.19/0.46 cnf(i_0_66, plain, (relation(esk14_0))).
% 0.19/0.46 cnf(i_0_72, plain, (relation(esk16_0))).
% 0.19/0.46 cnf(i_0_75, plain, (relation(esk17_0))).
% 0.19/0.46 cnf(i_0_78, plain, (relation(esk18_0))).
% 0.19/0.46 cnf(i_0_37, plain, (one_to_one(empty_set))).
% 0.19/0.46 cnf(i_0_58, plain, (one_to_one(esk11_0))).
% 0.19/0.46 cnf(i_0_64, plain, (one_to_one(esk14_0))).
% 0.19/0.46 cnf(i_0_29, plain, (relation_empty_yielding(empty_set))).
% 0.19/0.46 cnf(i_0_71, plain, (relation_empty_yielding(esk16_0))).
% 0.19/0.46 cnf(i_0_74, plain, (relation_empty_yielding(esk17_0))).
% 0.19/0.46 cnf(i_0_77, plain, (relation_non_empty(esk18_0))).
% 0.19/0.46 cnf(i_0_79, plain, (subset(X1,X1))).
% 0.19/0.46 cnf(i_0_28, plain, (element(esk5_1(X1),X1))).
% 0.19/0.46 cnf(i_0_62, plain, (~empty(esk12_0))).
% 0.19/0.46 cnf(i_0_63, plain, (~empty(esk13_0))).
% 0.19/0.46 cnf(i_0_70, plain, (~empty(esk15_0))).
% 0.19/0.46 cnf(i_0_84, negated_conjecture, (in(X1,esk19_0)|~ordinal(X1))).
% 0.19/0.46 cnf(i_0_85, negated_conjecture, (ordinal(X1)|~in(X1,esk19_0))).
% 0.19/0.46 cnf(i_0_91, plain, (~empty(X1)|~in(X2,X1))).
% 0.19/0.46 cnf(i_0_2, plain, (function(X1)|~empty(X1))).
% 0.19/0.46 cnf(i_0_10, plain, (ordinal(X1)|~empty(X1))).
% 0.19/0.46 cnf(i_0_4, plain, (epsilon_transitive(X1)|~ordinal(X1))).
% 0.19/0.46 cnf(i_0_3, plain, (epsilon_connected(X1)|~ordinal(X1))).
% 0.19/0.46 cnf(i_0_90, plain, (X1=empty_set|~empty(X1))).
% 0.19/0.46 cnf(i_0_12, plain, (epsilon_transitive(X1)|~empty(X1))).
% 0.19/0.46 cnf(i_0_11, plain, (epsilon_connected(X1)|~empty(X1))).
% 0.19/0.46 cnf(i_0_5, plain, (relation(X1)|~empty(X1))).
% 0.19/0.46 cnf(i_0_1, plain, (~in(X1,X2)|~in(X2,X1))).
% 0.19/0.46 cnf(i_0_9, plain, (ordinal(X1)|~epsilon_connected(X1)|~epsilon_transitive(X1))).
% 0.19/0.46 cnf(i_0_81, plain, (ordinal(X1)|~ordinal(X2)|~in(X1,X2))).
% 0.19/0.46 cnf(i_0_17, plain, (epsilon_connected(X1)|esk3_1(X1)!=esk2_1(X1))).
% 0.19/0.46 cnf(i_0_80, plain, (element(X1,X2)|~in(X1,X2))).
% 0.19/0.46 cnf(i_0_92, plain, (X1=X2|~empty(X2)|~empty(X1))).
% 0.19/0.46 cnf(i_0_14, plain, (epsilon_transitive(X1)|in(esk1_1(X1),X1))).
% 0.19/0.46 cnf(i_0_13, plain, (epsilon_transitive(X1)|~subset(esk1_1(X1),X1))).
% 0.19/0.46 cnf(i_0_87, plain, (subset(X1,X2)|~element(X1,powerset(X2)))).
% 0.19/0.46 cnf(i_0_18, plain, (epsilon_connected(X1)|~in(esk2_1(X1),esk3_1(X1)))).
% 0.19/0.46 cnf(i_0_16, plain, (epsilon_connected(X1)|~in(esk3_1(X1),esk2_1(X1)))).
% 0.19/0.46 cnf(i_0_20, plain, (epsilon_connected(X1)|in(esk2_1(X1),X1))).
% 0.19/0.46 cnf(i_0_19, plain, (epsilon_connected(X1)|in(esk3_1(X1),X1))).
% 0.19/0.46 cnf(i_0_6, plain, (one_to_one(X1)|~empty(X1))).
% 0.19/0.46 cnf(i_0_22, plain, (subset(X1,X2)|~in(esk4_2(X1,X2),X2))).
% 0.19/0.46 cnf(i_0_83, plain, (empty(X1)|in(X2,X1)|~element(X2,X1))).
% 0.19/0.46 cnf(i_0_86, plain, (element(X1,powerset(X2))|~subset(X1,X2))).
% 0.19/0.46 cnf(i_0_15, plain, (subset(X1,X2)|~epsilon_transitive(X2)|~in(X1,X2))).
% 0.19/0.46 cnf(i_0_89, plain, (~element(X1,powerset(X2))|~empty(X2)|~in(X3,X1))).
% 0.19/0.46 cnf(i_0_24, plain, (in(X1,X2)|~subset(X3,X2)|~in(X1,X3))).
% 0.19/0.46 cnf(i_0_88, plain, (element(X1,X2)|~element(X3,powerset(X2))|~in(X1,X3))).
% 0.19/0.46 cnf(i_0_23, plain, (subset(X1,X2)|in(esk4_2(X1,X2),X1))).
% 0.19/0.46 cnf(i_0_82, plain, (X1=X2|in(X1,X2)|in(X2,X1)|~ordinal(X2)|~ordinal(X1))).
% 0.19/0.46 cnf(i_0_21, plain, (X1=X2|in(X1,X2)|in(X2,X1)|~epsilon_connected(X3)|~in(X2,X3)|~in(X1,X3))).
% 0.19/0.46 cnf(i_0_437, plain, (X68=X68)).
% 0.19/0.46 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 0.19/0.46 # Begin printing tableau
% 0.19/0.46 # Found 7 steps
% 0.19/0.46 cnf(i_0_437, plain, (esk1_1(empty_set)=esk1_1(empty_set)), inference(start_rule)).
% 0.19/0.46 cnf(i_0_585, plain, (esk1_1(empty_set)=esk1_1(empty_set)), inference(extension_rule, [i_0_441])).
% 0.19/0.46 cnf(i_0_680, plain, ($false), inference(closure_rule, [i_0_437])).
% 0.19/0.46 cnf(i_0_678, plain, (in(esk1_1(empty_set),empty_set)), inference(extension_rule, [i_0_91])).
% 0.19/0.46 cnf(i_0_682, plain, (~empty(empty_set)), inference(closure_rule, [i_0_31])).
% 0.19/0.46 cnf(i_0_681, plain, (~in(esk1_1(empty_set),empty_set)), inference(extension_rule, [i_0_14])).
% 0.19/0.46 cnf(i_0_715, plain, (epsilon_transitive(empty_set)), inference(etableau_closure_rule, [i_0_715, ...])).
% 0.19/0.46 # End printing tableau
% 0.19/0.46 # SZS output end
% 0.19/0.46 # Branches closed with saturation will be marked with an "s"
% 0.19/0.46 subset(X3,X2)|~in(X1,X3))).
% 0.19/0.46 cnf(i_0_88, plain, (element(X1,X2)|~element(X3,powerset(X2))|~in(X1,X3))).
% 0.19/0.46 cnf(i_0_23, plain, (subset(X1,X2)|in(esk4_2(X1,X2),X1))).
% 0.19/0.46 cnf(i_0_82, plain, (X1=X2|in(X1,X2)|in(X2,X1)|~ordinal(X2)|~ordinal(X1))).
% 0.19/0.46 cnf(i_0_21, plain, (X1=X2|in(X1,X2)|in(X2,X1)|~epsilon_connected(X3)|~in(X2,X3)|~in(X1,X3))).
% 0.19/0.46 cnf(i_0_437, plain, (X68=X68)).
% 0.19/0.46 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 0.19/0.46 # Begin printing tableau
% 0.19/0.46 # Found 7 steps
% 0.19/0.46 cnf(i_0_437, plain, (esk1_1(empty_set)=esk1_1(empty_set)), inference(start_rule)).
% 0.19/0.46 cnf(i_0_585, plain, (esk1_1(empty_set)=esk1_1(empty_set)), inference(extension_rule, [i_0_441])).
% 0.19/0.46 cnf(i_0_680, plain, ($false), inference(closure_rule, [i_0_437])).
% 0.19/0.46 cnf(i_0_678, plain, (in(esk1_1(empty_set),empty_set)), inference(extension_rule, [i_0_91])).
% 0.19/0.46 cnf(i_0_682, plain, (~empty(empty_set)), inference(closure_rule, [i_0_31])).
% 0.19/0.46 cnf(i_0_681, plain, (~in(esk1_1(empty_set),empty_set)), inference(extension_rule, [i_0_14])).
% 0.19/0.46 cnf(i_0_715, plain, (epsilon_transitive(empty_set)), inference(etableau_closure_rule, [i_0_715, ...])).
% 0.19/0.46 # End printing tableau
% 0.19/0.46 # SZS output end
% 0.19/0.46 # Branches closed with saturation will be marked with an "s"
% 0.19/0.47 # Child (26899) has found a proof.
% 0.19/0.47
% 0.19/0.47 # Proof search is over...
% 0.19/0.47 # Freeing feature tree
%------------------------------------------------------------------------------