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Etableau---0.67.THM-Ass.s

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%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : MGT014+1 : TPTP v9.3.0. Released v2.0.0.
% 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 : n007.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 : Tue Sep  8 06:09:44 AM UTC 2026

% Result   : Theorem 0.14s 0.38s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : MGT014+1 : TPTP v9.3.0. Released v2.0.0.
% 0.00/0.03  % Command  : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.10/0.35  % Computer : n007.cluster.edu
% 0.10/0.35  % Model    : x86_64 x86_64
% 0.10/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35  % Memory   : 8046.5625MB
% 0.10/0.35  % OS       : Linux 6.8.0-71-generic
% 0.10/0.35  % CPULimit : 300
% 0.10/0.35  % WCLimit  : 300
% 0.10/0.35  % DateTime : Mon Sep  7 11:50:26 UTC 2026
% 0.10/0.36  % CPUTime  : 
% 0.14/0.37  # No SInE strategy applied
% 0.14/0.37  # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.14/0.37  # and selection function SelectComplexExceptUniqMaxHorn.
% 0.14/0.37  #
% 0.14/0.37  # Presaturation interreduction done
% 0.14/0.37  # Number of axioms: 17 Number of unprocessed: 17
% 0.14/0.37  # Tableaux proof search.
% 0.14/0.37  # APR header successfully linked.
% 0.14/0.37  # Hello from C++
% 0.14/0.37  # The folding up rule is enabled...
% 0.14/0.37  # Local unification is enabled...
% 0.14/0.37  # Any saturation attempts will use folding labels...
% 0.14/0.37  # 17 beginning clauses after preprocessing and clausification
% 0.14/0.37  # Creating start rules for all 9 conjectures.
% 0.14/0.37  # There are 9 start rule candidates:
% 0.14/0.37  # Found 10 unit axioms.
% 0.14/0.37  # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.14/0.37  # 9 start rule tableaux created.
% 0.14/0.37  # 7 extension rule candidate clauses
% 0.14/0.37  # 10 unit axiom clauses
% 0.14/0.37  
% 0.14/0.37  # Requested 8, 32 cores available to the main process.
% 0.14/0.38  # There were 1 total branch saturation attempts.
% 0.14/0.38  # There were 0 of these attempts blocked.
% 0.14/0.38  # There were 0 deferred branch saturation attempts.
% 0.14/0.38  # There were 0 free duplicated saturations.
% 0.14/0.38  # There were 1 total successful branch saturations.
% 0.14/0.38  # There were 0 successful branch saturations in interreduction.
% 0.14/0.38  # There were 0 successful branch saturations on the branch.
% 0.14/0.38  # There were 1 successful branch saturations after the branch.
% 0.14/0.38  # There were 1 total branch saturation attempts.
% 0.14/0.38  # There were 0 of these attempts blocked.
% 0.14/0.38  # There were 0 deferred branch saturation attempts.
% 0.14/0.38  # There were 0 free duplicated saturations.
% 0.14/0.38  # There were 1 total successful branch saturations.
% 0.14/0.38  # There were 0 successful branch saturations in interreduction.
% 0.14/0.38  # There were 0 successful branch saturations on the branch.
% 0.14/0.38  # There were 1 successful branch saturations after the branch.
% 0.14/0.38  # SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.38  # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.38  # Begin clausification derivation
% 0.14/0.38  
% 0.14/0.38  # End clausification derivation
% 0.14/0.38  # Begin listing active clauses obtained from FOF to CNF conversion
% 0.14/0.38  cnf(i_0_9, negated_conjecture, (greater(esk2_0,esk3_0))).
% 0.14/0.38  cnf(i_0_10, negated_conjecture, (greater(esk5_0,esk4_0))).
% 0.14/0.38  cnf(i_0_17, negated_conjecture, (organization(esk1_0,esk6_0))).
% 0.14/0.38  cnf(i_0_16, negated_conjecture, (organization(esk1_0,esk7_0))).
% 0.14/0.38  cnf(i_0_15, negated_conjecture, (reorganization_free(esk1_0,esk6_0,esk7_0))).
% 0.14/0.38  cnf(i_0_12, negated_conjecture, (size(esk1_0,esk4_0,esk6_0))).
% 0.14/0.38  cnf(i_0_11, negated_conjecture, (size(esk1_0,esk5_0,esk7_0))).
% 0.14/0.38  cnf(i_0_14, negated_conjecture, (complexity(esk1_0,esk2_0,esk6_0))).
% 0.14/0.38  cnf(i_0_13, negated_conjecture, (complexity(esk1_0,esk3_0,esk7_0))).
% 0.14/0.38  cnf(i_0_1, plain, (~greater(X1,X1))).
% 0.14/0.38  cnf(i_0_2, plain, (~greater(X1,X2)|~greater(X2,X1))).
% 0.14/0.38  cnf(i_0_3, plain, (time(X1)|~organization(X2,X1))).
% 0.14/0.38  cnf(i_0_5, plain, (reorganization_free(X1,X2,X3)|~reorganization_free(X1,X3,X2))).
% 0.14/0.38  cnf(i_0_4, plain, (X1=X2|greater(X1,X2)|greater(X2,X1)|~time(X2)|~time(X1))).
% 0.14/0.38  cnf(i_0_6, plain, (X1=X2|~size(X3,X2,X4)|~size(X3,X1,X4)|~organization(X3,X4))).
% 0.14/0.38  cnf(i_0_7, hypothesis, (~size(X1,X2,X3)|~size(X1,X4,X5)|~reorganization_free(X1,X5,X3)|~organization(X1,X3)|~organization(X1,X5)|~greater(X4,X2)|~greater(X3,X5))).
% 0.14/0.38  cnf(i_0_8, hypothesis, (~complexity(X1,X2,X3)|~complexity(X1,X4,X5)|~reorganization_free(X1,X5,X3)|~organization(X1,X3)|~organization(X1,X5)|~greater(X4,X2)|~greater(X3,X5))).
% 0.14/0.38  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 0.14/0.38  # Begin printing tableau
% 0.14/0.38  # Found 7 steps
% 0.14/0.38  cnf(i_0_16, negated_conjecture, (organization(esk1_0,esk7_0)), inference(start_rule)).
% 0.14/0.38  cnf(i_0_25, plain, (organization(esk1_0,esk7_0)), inference(extension_rule, [i_0_3])).
% 0.14/0.38  cnf(i_0_31, plain, (time(esk7_0)), inference(extension_rule, [i_0_4])).
% 0.14/0.38  cnf(i_0_38, plain, (greater(esk7_0,esk7_0)), inference(closure_rule, [i_0_1])).
% 0.14/0.38  cnf(i_0_39, plain, (greater(esk7_0,esk7_0)), inference(closure_rule, [i_0_1])).
% 0.14/0.38  cnf(i_0_41, plain, (~time(esk7_0)), inference(closure_rule, [i_0_31])).
% 0.14/0.38  cnf(i_0_37, plain, (esk7_0=esk7_0), inference(etableau_closure_rule, [i_0_37, ...])).
% 0.14/0.38  # End printing tableau
% 0.14/0.38  # SZS output end
% 0.14/0.38  # Branches closed with saturation will be marked with an "s"
% 0.14/0.38  # There were 1 total branch saturation attempts.
% 0.14/0.38  # There were 0 of these attempts blocked.
% 0.14/0.38  # There were 0 deferred branch saturation attempts.
% 0.14/0.38  # There were 0 free duplicated saturations.
% 0.14/0.38  # There were 1 total successful branch saturations.
% 0.14/0.38  # There were 0 successful branch saturations in interreduction.
% 0.14/0.38  # There were 0 successful branch saturations on the branch.
% 0.14/0.38  # There were 1 successful branch saturations after the branch.
% 0.14/0.38  # SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.38  # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.38  # Begin clausification derivation
% 0.14/0.38  
% 0.14/0.38  # End clausification derivation
% 0.14/0.38  # Begin listing active clauses obtained from FOF to CNF conversion
% 0.14/0.38  cnf(i_0_9, negated_conjecture, (greater(esk2_0,esk3_0))).
% 0.14/0.38  cnf(i_0_10, negated_conjecture, (greater(esk5_0,esk4_0))).
% 0.14/0.38  cnf(i_0_17, negated_conjecture, (organization(esk1_0,esk6_0))).
% 0.14/0.38  cnf(i_0_16, negated_conjecture, (organization(esk1_0,esk7_0))).
% 0.14/0.38  cnf(i_0_15, negated_conjecture, (reorganization_free(esk1_0,esk6_0,esk7_0))).
% 0.14/0.38  cnf(i_0_12, negated_conjecture, (size(esk1_0,esk4_0,esk6_0))).
% 0.14/0.38  cnf(i_0_11, negated_conjecture, (size(esk1_0,esk5_0,esk7_0))).
% 0.14/0.38  cnf(i_0_14, negated_conjecture, (complexity(esk1_0,esk2_0,esk6_0))).
% 0.14/0.38  cnf(i_0_13, negated_conjecture, (complexity(esk1_0,esk3_0,esk7_0))).
% 0.14/0.38  cnf(i_0_1, plain, (~greater(X1,X1))).
% 0.14/0.38  cnf(i_0_2, plain, (~greater(X1,X2)|~greater(X2,X1))).
% 0.14/0.38  cnf(i_0_3, plain, (time(X1)|~organization(X2,X1))).
% 0.14/0.38  cnf(i_0_5, plain, (reorganization_free(X1,X2,X3)|~reorganization_free(X1,X3,X2))).
% 0.14/0.38  cnf(i_0_4, plain, (X1=X2|greater(X1,X2)|greater(X2,X1)|~time(X2)|~time(X1))).
% 0.14/0.38  cnf(i_0_6, plain, (X1=X2|~size(X3,X2,X4)|~size(X3,X1,X4)|~organization(X3,X4))).
% 0.14/0.38  cnf(i_0_7, hypothesis, (~size(X1,X2,X3)|~size(X1,X4,X5)|~reorganization_free(X1,X5,X3)|~organization(X1,X3)|~organization(X1,X5)|~greater(X4,X2)|~greater(X3,X5))).
% 0.14/0.38  cnf(i_0_8, hypothesis, (~complexity(X1,X2,X3)|~complexity(X1,X4,X5)|~reorganization_free(X1,X5,X3)|~organization(X1,X3)|~organization(X1,X5)|~greater(X4,X2)|~greater(X3,X5))).
% 0.14/0.38  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 0.14/0.38  # Begin printing tableau
% 0.14/0.38  # Found 9 steps
% 0.14/0.38  cnf(i_0_15, negated_conjecture, (reorganization_free(esk1_0,esk6_0,esk7_0)), inference(start_rule)).
% 0.14/0.38  cnf(i_0_24, plain, (reorganization_free(esk1_0,esk6_0,esk7_0)), inference(extension_rule, [i_0_5])).
% 0.14/0.38  cnf(i_0_33, plain, (reorganization_free(esk1_0,esk7_0,esk6_0)), inference(extension_rule, [i_0_7])).
% 0.14/0.38  cnf(i_0_48, plain, (~size(esk1_0,esk4_0,esk6_0)), inference(closure_rule, [i_0_12])).
% 0.14/0.38  cnf(i_0_49, plain, (~size(esk1_0,esk5_0,esk7_0)), inference(closure_rule, [i_0_11])).
% 0.14/0.38  cnf(i_0_51, plain, (~organization(esk1_0,esk6_0)), inference(closure_rule, [i_0_17])).
% 0.14/0.38  cnf(i_0_52, plain, (~organization(esk1_0,esk7_0)), inference(closure_rule, [i_0_16])).
% 0.14/0.38  cnf(i_0_53, plain, (~greater(esk5_0,esk4_0)), inference(closure_rule, [i_0_10])).
% 0.14/0.38  cnf(i_0_54, plain, (~greater(esk6_0,esk7_0)), inference(etableau_closure_rule, [i_0_54, ...])).
% 0.14/0.38  # End printing tableau
% 0.14/0.38  # SZS output end
% 0.14/0.38  # Branches closed with saturation will be marked with an "s"
% 0.14/0.38  # SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.38  # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.38  # Begin clausification derivation
% 0.14/0.38  
% 0.14/0.38  # End clausification derivation
% 0.14/0.38  # Begin listing active clauses obtained from FOF to CNF conversion
% 0.14/0.38  cnf(i_0_9, negated_conjecture, (greater(esk2_0,esk3_0))).
% 0.14/0.38  cnf(i_0_10, negated_conjecture, (greater(esk5_0,esk4_0))).
% 0.14/0.38  cnf(i_0_17, negated_conjecture, (organization(esk1_0,esk6_0))).
% 0.14/0.38  cnf(i_0_16, negated_conjecture, (organization(esk1_0,esk7_0))).
% 0.14/0.38  cnf(i_0_15, negated_conjecture, (reorganization_free(esk1_0,esk6_0,esk7_0))).
% 0.14/0.38  cnf(i_0_12, negated_conjecture, (size(esk1_0,esk4_0,esk6_0))).
% 0.14/0.38  cnf(i_0_11, negated_conjecture, (size(esk1_0,esk5_0,esk7_0))).
% 0.14/0.38  cnf(i_0_14, negated_conjecture, (complexity(esk1_0,esk2_0,esk6_0))).
% 0.14/0.38  cnf(i_0_13, negated_conjecture, (complexity(esk1_0,esk3_0,esk7_0))).
% 0.14/0.38  cnf(i_0_1, plain, (~greater(X1,X1))).
% 0.14/0.38  cnf(i_0_2, plain, (~greater(X1,X2)|~greater(X2,X1))).
% 0.14/0.38  cnf(i_0_3, plain, (time(X1)|~organization(X2,X1))).
% 0.14/0.38  cnf(i_0_5, plain, (reorganization_free(X1,X2,X3)|~reorganization_free(X1,X3,X2))).
% 0.14/0.38  cnf(i_0_4, plain, (X1=X2|greater(X1,X2)|greater(X2,X1)|~time(X2)|~time(X1))).
% 0.14/0.38  cnf(i_0_6, plain, (X1=X2|~size(X3,X2,X4)|~size(X3,X1,X4)|~organization(X3,X4))).
% 0.14/0.38  cnf(i_0_7, hypothesis, (~size(X1,X2,X3)|~size(X1,X4,X5)|~reorganization_free(X1,X5,X3)|~organization(X1,X3)|~organization(X1,X5)|~greater(X4,X2)|~greater(X3,X5))).
% 0.14/0.38  cnf(i_0_8, hypothesis, (~complexity(X1,X2,X3)|~complexity(X1,X4,X5)|~reorganization_free(X1,X5,X3)|~organization(X1,X3)|~organization(X1,X5)|~greater(X4,X2)|~greater(X3,X5))).
% 0.14/0.38  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 0.14/0.38  # Begin printing tableau
% 0.14/0.38  # Found 7 steps
% 0.14/0.38  cnf(i_0_17, negated_conjecture, (organization(esk1_0,esk6_0)), inference(start_rule)).
% 0.14/0.38  cnf(i_0_26, plain, (organization(esk1_0,esk6_0)), inference(extension_rule, [i_0_3])).
% 0.14/0.38  cnf(i_0_31, plain, (time(esk6_0)), inference(extension_rule, [i_0_4])).
% 0.14/0.38  cnf(i_0_38, plain, (greater(esk6_0,esk6_0)), inference(closure_rule, [i_0_1])).
% 0.14/0.38  cnf(i_0_39, plain, (greater(esk6_0,esk6_0)), inference(closure_rule, [i_0_1])).
% 0.14/0.38  cnf(i_0_41, plain, (~time(esk6_0)), inference(closure_rule, [i_0_31])).
% 0.14/0.38  cnf(i_0_37, plain, (esk6_0=esk6_0), inference(etableau_closure_rule, [i_0_37, ...])).
% 0.14/0.38  # End printing tableau
% 0.14/0.38  # SZS output end
% 0.14/0.38  # Branches closed with saturation will be marked with an "s"
% 0.14/0.38  # There were 4 total branch saturation attempts.
% 0.14/0.38  # There were 0 of these attempts blocked.
% 0.14/0.38  # There were 0 deferred branch saturation attempts.
% 0.14/0.38  # There were 0 free duplicated saturations.
% 0.14/0.38  # There were 4 total successful branch saturations.
% 0.14/0.38  # There were 0 successful branch saturations in interreduction.
% 0.14/0.38  # There were 0 successful branch saturations on the branch.
% 0.14/0.38  # There were 4 successful branch saturations after the branch.
% 0.14/0.38  # SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.38  # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.38  # Begin clausification derivation
% 0.14/0.38  
% 0.14/0.38  # End clausification derivation
% 0.14/0.38  # Begin listing active clauses obtained from FOF to CNF conversion
% 0.14/0.38  cnf(i_0_9, negated_conjecture, (greater(esk2_0,esk3_0))).
% 0.14/0.38  cnf(i_0_10, negated_conjecture, (greater(esk5_0,esk4_0))).
% 0.14/0.38  cnf(i_0_17, negated_conjecture, (organization(esk1_0,esk6_0))).
% 0.14/0.38  cnf(i_0_16, negated_conjecture, (organization(esk1_0,esk7_0))).
% 0.14/0.38  cnf(i_0_15, negated_conjecture, (reorganization_free(esk1_0,esk6_0,esk7_0))).
% 0.14/0.38  cnf(i_0_12, negated_conjecture, (size(esk1_0,esk4_0,esk6_0))).
% 0.14/0.38  cnf(i_0_11, negated_conjecture, (size(esk1_0,esk5_0,esk7_0))).
% 0.14/0.38  cnf(i_0_14, negated_conjecture, (complexity(esk1_0,esk2_0,esk6_0))).
% 0.14/0.38  cnf(i_0_13, negated_conjecture, (complexity(esk1_0,esk3_0,esk7_0))).
% 0.14/0.38  cnf(i_0_1, plain, (~greater(X1,X1))).
% 0.14/0.38  cnf(i_0_2, plain, (~greater(X1,X2)|~greater(X2,X1))).
% 0.14/0.38  cnf(i_0_3, plain, (time(X1)|~organization(X2,X1))).
% 0.14/0.38  cnf(i_0_5, plain, (reorganization_free(X1,X2,X3)|~reorganization_free(X1,X3,X2))).
% 0.14/0.38  cnf(i_0_4, plain, (X1=X2|greater(X1,X2)|greater(X2,X1)|~time(X2)|~time(X1))).
% 0.14/0.38  cnf(i_0_6, plain, (X1=X2|~size(X3,X2,X4)|~size(X3,X1,X4)|~organization(X3,X4))).
% 0.14/0.38  cnf(i_0_7, hypothesis, (~size(X1,X2,X3)|~size(X1,X4,X5)|~reorganization_free(X1,X5,X3)|~organization(X1,X3)|~organization(X1,X5)|~greater(X4,X2)|~greater(X3,X5))).
% 0.14/0.38  cnf(i_0_8, hypothesis, (~complexity(X1,X2,X3)|~complexity(X1,X4,X5)|~reorganization_free(X1,X5,X3)|~organization(X1,X3)|~organization(X1,X5)|~greater(X4,X2)|~greater(X3,X5))).
% 0.14/0.38  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 0.14/0.38  # Begin printing tableau
% 0.14/0.38  # Found 13 steps
% 0.14/0.38  cnf(i_0_10, negated_conjecture, (greater(esk5_0,esk4_0)), inference(start_rule)).
% 0.14/0.38  cnf(i_0_27, plain, (greater(esk5_0,esk4_0)), inference(extension_rule, [i_0_7])).
% 0.14/0.38  cnf(i_0_73, plain, (~size(esk1_0,esk4_0,esk6_0)), inference(closure_rule, [i_0_12])).
% 0.14/0.38  cnf(i_0_74, plain, (~size(esk1_0,esk5_0,esk7_0)), inference(closure_rule, [i_0_11])).
% 0.14/0.38  cnf(i_0_76, plain, (~organization(esk1_0,esk6_0)), inference(closure_rule, [i_0_17])).
% 0.14/0.38  cnf(i_0_77, plain, (~organization(esk1_0,esk7_0)), inference(closure_rule, [i_0_16])).
% 0.14/0.38  cnf(i_0_75, plain, (~reorganization_free(esk1_0,esk7_0,esk6_0)), inference(extension_rule, [i_0_5])).
% 0.14/0.38  cnf(i_0_83, plain, (~reorganization_free(esk1_0,esk6_0,esk7_0)), inference(closure_rule, [i_0_15])).
% 0.14/0.38  cnf(i_0_79, plain, (~greater(esk6_0,esk7_0)), inference(extension_rule, [i_0_4])).
% 0.14/0.38  cnf(i_0_86, plain, (esk7_0=esk6_0), inference(etableau_closure_rule, [i_0_86, ...])).
% 0.14/0.38  cnf(i_0_88, plain, (greater(esk7_0,esk6_0)), inference(etableau_closure_rule, [i_0_88, ...])).
% 0.14/0.38  cnf(i_0_89, plain, (~time(esk7_0)), inference(etableau_closure_rule, [i_0_89, ...])).
% 0.14/0.38  cnf(i_0_90, plain, (~time(esk6_0)), inference(etableau_closure_rule, [i_0_90, ...])).
% 0.14/0.38  # End printing tableau
% 0.14/0.38  # SZS output end
% 0.14/0.38  # Branches closed with saturation will be marked with an "s"
% 0.14/0.38  # Child (1322082) has found a proof.
% 0.14/0.38  
% 0.14/0.38  # Proof search is over...
% 0.14/0.38  # Freeing feature tree
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