TSTP Solution File: SEU085+1 by Etableau---0.67

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : SEU085+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 : n026.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 : Tue Jul 19 09:23:45 EDT 2022

% Result   : Theorem 0.21s 0.39s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SEU085+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.14  % Command  : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.13/0.35  % Computer : n026.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Mon Jun 20 03:32:11 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.21/0.39  # No SInE strategy applied
% 0.21/0.39  # Auto-Mode selected heuristic G_E___208_C02CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.21/0.39  # and selection function SelectComplexExceptUniqMaxHorn.
% 0.21/0.39  #
% 0.21/0.39  # Presaturation interreduction done
% 0.21/0.39  # Number of axioms: 141 Number of unprocessed: 131
% 0.21/0.39  # Tableaux proof search.
% 0.21/0.39  # APR header successfully linked.
% 0.21/0.39  # Hello from C++
% 0.21/0.39  # The folding up rule is enabled...
% 0.21/0.39  # Local unification is enabled...
% 0.21/0.39  # Any saturation attempts will use folding labels...
% 0.21/0.39  # 131 beginning clauses after preprocessing and clausification
% 0.21/0.39  # Creating start rules for all 2 conjectures.
% 0.21/0.39  # There are 2 start rule candidates:
% 0.21/0.39  # Found 97 unit axioms.
% 0.21/0.39  # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.21/0.39  # 2 start rule tableaux created.
% 0.21/0.39  # 34 extension rule candidate clauses
% 0.21/0.39  # 97 unit axiom clauses
% 0.21/0.39  
% 0.21/0.39  # Requested 8, 32 cores available to the main process.
% 0.21/0.39  # There are not enough tableaux to fork, creating more from the initial 2
% 0.21/0.39  # Closed tableau found in foldup close cycle with 0 folds and 1 closures done.
% 0.21/0.39  # There were 0 total branch saturation attempts.
% 0.21/0.39  # There were 0 of these attempts blocked.
% 0.21/0.39  # There were 0 deferred branch saturation attempts.
% 0.21/0.39  # There were 0 free duplicated saturations.
% 0.21/0.39  # There were 0 total successful branch saturations.
% 0.21/0.39  # There were 0 successful branch saturations in interreduction.
% 0.21/0.39  # There were 0 successful branch saturations on the branch.
% 0.21/0.39  # There were 0 successful branch saturations after the branch.
% 0.21/0.39  # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.39  # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.39  # Begin clausification derivation
% 0.21/0.39  
% 0.21/0.39  # End clausification derivation
% 0.21/0.39  # Begin listing active clauses obtained from FOF to CNF conversion
% 0.21/0.39  cnf(i_0_133, negated_conjecture, (finite(esk27_0))).
% 0.21/0.39  cnf(i_0_50, plain, (finite(esk3_0))).
% 0.21/0.39  cnf(i_0_33, plain, (ordinal(empty_set))).
% 0.21/0.39  cnf(i_0_46, plain, (ordinal(esk2_0))).
% 0.21/0.39  cnf(i_0_57, plain, (ordinal(esk6_0))).
% 0.21/0.39  cnf(i_0_61, plain, (ordinal(esk7_0))).
% 0.21/0.39  cnf(i_0_69, plain, (ordinal(esk11_0))).
% 0.21/0.39  cnf(i_0_87, plain, (ordinal(esk14_0))).
% 0.21/0.39  cnf(i_0_104, plain, (ordinal(esk19_0))).
% 0.21/0.39  cnf(i_0_115, plain, (ordinal(esk22_0))).
% 0.21/0.39  cnf(i_0_35, plain, (epsilon_transitive(empty_set))).
% 0.21/0.39  cnf(i_0_48, plain, (epsilon_transitive(esk2_0))).
% 0.21/0.39  cnf(i_0_59, plain, (epsilon_transitive(esk6_0))).
% 0.21/0.39  cnf(i_0_63, plain, (epsilon_transitive(esk7_0))).
% 0.21/0.39  cnf(i_0_71, plain, (epsilon_transitive(esk11_0))).
% 0.21/0.39  cnf(i_0_89, plain, (epsilon_transitive(esk14_0))).
% 0.21/0.39  cnf(i_0_106, plain, (epsilon_transitive(esk19_0))).
% 0.21/0.39  cnf(i_0_117, plain, (epsilon_transitive(esk22_0))).
% 0.21/0.39  cnf(i_0_34, plain, (epsilon_connected(empty_set))).
% 0.21/0.39  cnf(i_0_47, plain, (epsilon_connected(esk2_0))).
% 0.21/0.39  cnf(i_0_58, plain, (epsilon_connected(esk6_0))).
% 0.21/0.39  cnf(i_0_62, plain, (epsilon_connected(esk7_0))).
% 0.21/0.39  cnf(i_0_70, plain, (epsilon_connected(esk11_0))).
% 0.21/0.39  cnf(i_0_88, plain, (epsilon_connected(esk14_0))).
% 0.21/0.39  cnf(i_0_105, plain, (epsilon_connected(esk19_0))).
% 0.21/0.39  cnf(i_0_116, plain, (epsilon_connected(esk22_0))).
% 0.21/0.39  cnf(i_0_30, plain, (empty(empty_set))).
% 0.21/0.39  cnf(i_0_65, plain, (empty(esk8_0))).
% 0.21/0.39  cnf(i_0_68, plain, (empty(esk10_0))).
% 0.21/0.39  cnf(i_0_85, plain, (empty(esk13_0))).
% 0.21/0.39  cnf(i_0_90, plain, (empty(esk14_0))).
% 0.21/0.39  cnf(i_0_107, plain, (empty(esk19_0))).
% 0.21/0.39  cnf(i_0_38, plain, (function(empty_set))).
% 0.21/0.39  cnf(i_0_53, plain, (function(esk4_0))).
% 0.21/0.39  cnf(i_0_55, plain, (function(esk5_0))).
% 0.21/0.39  cnf(i_0_84, plain, (function(esk13_0))).
% 0.21/0.39  cnf(i_0_92, plain, (function(esk14_0))).
% 0.21/0.39  cnf(i_0_96, plain, (function(esk15_0))).
% 0.21/0.39  cnf(i_0_113, plain, (function(esk21_0))).
% 0.21/0.39  cnf(i_0_121, plain, (function(esk24_0))).
% 0.21/0.39  cnf(i_0_125, plain, (function(esk25_0))).
% 0.21/0.39  cnf(i_0_127, plain, (function(esk26_0))).
% 0.21/0.39  cnf(i_0_29, plain, (relation(empty_set))).
% 0.21/0.39  cnf(i_0_54, plain, (relation(esk4_0))).
% 0.21/0.39  cnf(i_0_56, plain, (relation(esk5_0))).
% 0.21/0.39  cnf(i_0_64, plain, (relation(esk8_0))).
% 0.21/0.39  cnf(i_0_86, plain, (relation(esk13_0))).
% 0.21/0.39  cnf(i_0_93, plain, (relation(esk14_0))).
% 0.21/0.39  cnf(i_0_97, plain, (relation(esk15_0))).
% 0.21/0.39  cnf(i_0_98, plain, (relation(esk16_0))).
% 0.21/0.39  cnf(i_0_114, plain, (relation(esk21_0))).
% 0.21/0.39  cnf(i_0_120, plain, (relation(esk23_0))).
% 0.21/0.39  cnf(i_0_123, plain, (relation(esk24_0))).
% 0.21/0.39  cnf(i_0_126, plain, (relation(esk25_0))).
% 0.21/0.39  cnf(i_0_129, plain, (relation(esk26_0))).
% 0.21/0.39  cnf(i_0_45, plain, (natural(esk2_0))).
% 0.21/0.39  cnf(i_0_103, plain, (natural(esk19_0))).
% 0.21/0.39  cnf(i_0_37, plain, (one_to_one(empty_set))).
% 0.21/0.39  cnf(i_0_91, plain, (one_to_one(esk14_0))).
% 0.21/0.39  cnf(i_0_112, plain, (one_to_one(esk21_0))).
% 0.21/0.39  cnf(i_0_28, plain, (relation_empty_yielding(empty_set))).
% 0.21/0.39  cnf(i_0_119, plain, (relation_empty_yielding(esk23_0))).
% 0.21/0.39  cnf(i_0_122, plain, (relation_empty_yielding(esk24_0))).
% 0.21/0.39  cnf(i_0_52, plain, (function_yielding(esk4_0))).
% 0.21/0.39  cnf(i_0_60, plain, (being_limit_ordinal(esk7_0))).
% 0.21/0.39  cnf(i_0_95, plain, (transfinite_sequence(esk15_0))).
% 0.21/0.39  cnf(i_0_124, plain, (transfinite_sequence(esk25_0))).
% 0.21/0.39  cnf(i_0_94, plain, (ordinal_yielding(esk15_0))).
% 0.21/0.39  cnf(i_0_128, plain, (relation_non_empty(esk26_0))).
% 0.21/0.39  cnf(i_0_74, plain, (finite(esk12_1(X1)))).
% 0.21/0.39  cnf(i_0_140, plain, (set_difference(empty_set,X1)=empty_set)).
% 0.21/0.39  cnf(i_0_137, plain, (set_difference(X1,empty_set)=X1)).
% 0.21/0.39  cnf(i_0_76, plain, (ordinal(esk12_1(X1)))).
% 0.21/0.39  cnf(i_0_78, plain, (epsilon_transitive(esk12_1(X1)))).
% 0.21/0.39  cnf(i_0_77, plain, (epsilon_connected(esk12_1(X1)))).
% 0.21/0.39  cnf(i_0_82, plain, (empty(esk12_1(X1)))).
% 0.21/0.39  cnf(i_0_100, plain, (empty(esk17_1(X1)))).
% 0.21/0.39  cnf(i_0_80, plain, (function(esk12_1(X1)))).
% 0.21/0.39  cnf(i_0_81, plain, (relation(esk12_1(X1)))).
% 0.21/0.39  cnf(i_0_75, plain, (natural(esk12_1(X1)))).
% 0.21/0.39  cnf(i_0_130, plain, (subset(X1,X1))).
% 0.21/0.39  cnf(i_0_79, plain, (one_to_one(esk12_1(X1)))).
% 0.21/0.39  cnf(i_0_73, plain, (element(esk11_0,positive_rationals))).
% 0.21/0.39  cnf(i_0_108, plain, (element(esk19_0,positive_rationals))).
% 0.21/0.39  cnf(i_0_26, plain, (element(esk1_1(X1),X1))).
% 0.21/0.39  cnf(i_0_136, plain, (subset(set_difference(X1,X2),X1))).
% 0.21/0.39  cnf(i_0_83, plain, (element(esk12_1(X1),powerset(X1)))).
% 0.21/0.39  cnf(i_0_101, plain, (element(esk17_1(X1),powerset(X1)))).
% 0.21/0.39  cnf(i_0_132, negated_conjecture, (~finite(set_difference(esk27_0,esk28_0)))).
% 0.21/0.39  cnf(i_0_44, plain, (~empty(positive_rationals))).
% 0.21/0.39  cnf(i_0_49, plain, (~empty(esk2_0))).
% 0.21/0.39  cnf(i_0_51, plain, (~empty(esk3_0))).
% 0.21/0.39  cnf(i_0_72, plain, (~empty(esk11_0))).
% 0.21/0.39  cnf(i_0_99, plain, (~empty(esk16_0))).
% 0.21/0.39  cnf(i_0_102, plain, (~empty(esk18_0))).
% 0.21/0.39  cnf(i_0_118, plain, (~empty(esk22_0))).
% 0.21/0.39  cnf(i_0_31, plain, (~empty(powerset(X1)))).
% 0.21/0.39  cnf(i_0_144, plain, (~empty(X1)|~in(X2,X1))).
% 0.21/0.39  cnf(i_0_19, plain, (ordinal(X1)|~empty(X1))).
% 0.21/0.39  cnf(i_0_21, plain, (epsilon_transitive(X1)|~empty(X1))).
% 0.21/0.39  cnf(i_0_20, plain, (epsilon_connected(X1)|~empty(X1))).
% 0.21/0.39  cnf(i_0_5, plain, (finite(X1)|~empty(X1))).
% 0.21/0.39  cnf(i_0_143, plain, (X1=empty_set|~empty(X1))).
% 0.21/0.39  cnf(i_0_8, plain, (epsilon_transitive(X1)|~ordinal(X1))).
% 0.21/0.39  cnf(i_0_7, plain, (epsilon_connected(X1)|~ordinal(X1))).
% 0.21/0.39  cnf(i_0_6, plain, (function(X1)|~empty(X1))).
% 0.21/0.39  cnf(i_0_9, plain, (relation(X1)|~empty(X1))).
% 0.21/0.39  cnf(i_0_27, plain, (finite(set_difference(X1,X2))|~finite(X1))).
% 0.21/0.39  cnf(i_0_1, plain, (~in(X1,X2)|~in(X2,X1))).
% 0.21/0.39  cnf(i_0_66, plain, (empty(X1)|~empty(esk9_1(X1)))).
% 0.21/0.39  cnf(i_0_110, plain, (empty(X1)|~empty(esk20_1(X1)))).
% 0.21/0.39  cnf(i_0_131, plain, (finite(X1)|~subset(X1,X2)|~finite(X2))).
% 0.21/0.39  cnf(i_0_109, plain, (finite(esk20_1(X1))|empty(X1))).
% 0.21/0.39  cnf(i_0_145, plain, (X1=X2|~empty(X2)|~empty(X1))).
% 0.21/0.39  cnf(i_0_18, plain, (ordinal(X1)|~epsilon_connected(X1)|~epsilon_transitive(X1))).
% 0.21/0.39  cnf(i_0_134, plain, (element(X1,X2)|~in(X1,X2))).
% 0.21/0.39  cnf(i_0_10, plain, (natural(X1)|~empty(X1))).
% 0.21/0.39  cnf(i_0_14, plain, (finite(X1)|~finite(X2)|~element(X1,powerset(X2)))).
% 0.21/0.39  cnf(i_0_15, plain, (one_to_one(X1)|~empty(X1))).
% 0.21/0.39  cnf(i_0_2, plain, (ordinal(X1)|~element(X1,X2)|~ordinal(X2))).
% 0.21/0.39  cnf(i_0_4, plain, (epsilon_transitive(X1)|~element(X1,X2)|~ordinal(X2))).
% 0.21/0.39  cnf(i_0_3, plain, (epsilon_connected(X1)|~element(X1,X2)|~ordinal(X2))).
% 0.21/0.39  cnf(i_0_22, plain, (natural(X1)|~element(X1,positive_rationals)|~ordinal(X1))).
% 0.21/0.39  cnf(i_0_139, plain, (subset(X1,X2)|~element(X1,powerset(X2)))).
% 0.21/0.39  cnf(i_0_41, plain, (relation(set_difference(X1,X2))|~relation(X2)|~relation(X1))).
% 0.21/0.39  cnf(i_0_138, plain, (element(X1,powerset(X2))|~subset(X1,X2))).
% 0.21/0.39  cnf(i_0_142, plain, (~empty(X1)|~element(X2,powerset(X1))|~in(X3,X2))).
% 0.21/0.39  cnf(i_0_67, plain, (empty(X1)|element(esk9_1(X1),powerset(X1)))).
% 0.21/0.39  cnf(i_0_111, plain, (empty(X1)|element(esk20_1(X1),powerset(X1)))).
% 0.21/0.39  cnf(i_0_135, plain, (empty(X1)|in(X2,X1)|~element(X2,X1))).
% 0.21/0.39  cnf(i_0_141, plain, (element(X1,X2)|~element(X3,powerset(X2))|~in(X1,X3))).
% 0.21/0.39  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 0.21/0.39  # Begin printing tableau
% 0.21/0.39  # Found 3 steps
% 0.21/0.39  cnf(i_0_132, negated_conjecture, (~finite(set_difference(esk27_0,esk28_0))), inference(start_rule)).
% 0.21/0.39  cnf(i_0_146, plain, (~finite(set_difference(esk27_0,esk28_0))), inference(extension_rule, [i_0_27])).
% 0.21/0.39  cnf(i_0_169, plain, (~finite(esk27_0)), inference(closure_rule, [i_0_133])).
% 0.21/0.39  # End printing tableau
% 0.21/0.39  # SZS output end
% 0.21/0.39  # Branches closed with saturation will be marked with an "s"
% 0.21/0.39  # Returning from population with 3 new_tableaux and 0 remaining starting tableaux.
% 0.21/0.39  # We now have 3 tableaux to operate on
% 0.21/0.39  # Found closed tableau during pool population.
% 0.21/0.39  # Proof search is over...
% 0.21/0.39  # Freeing feature tree
%------------------------------------------------------------------------------