TSTP Solution File: SET977+1 by Etableau---0.67

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : SET977+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 : n024.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 01:04:13 EDT 2022

% Result   : Theorem 0.12s 0.36s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11  % Problem  : SET977+1 : TPTP v8.1.0. Released v3.2.0.
% 0.09/0.12  % Command  : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.12/0.33  % Computer : n024.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sat Jul  9 22:43:43 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.36  # No SInE strategy applied
% 0.12/0.36  # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.12/0.36  # and selection function SelectComplexExceptUniqMaxHorn.
% 0.12/0.36  #
% 0.12/0.36  # Presaturation interreduction done
% 0.12/0.36  # Number of axioms: 16 Number of unprocessed: 16
% 0.12/0.36  # Tableaux proof search.
% 0.12/0.36  # APR header successfully linked.
% 0.12/0.36  # Hello from C++
% 0.12/0.36  # The folding up rule is enabled...
% 0.12/0.36  # Local unification is enabled...
% 0.12/0.36  # Any saturation attempts will use folding labels...
% 0.12/0.36  # 16 beginning clauses after preprocessing and clausification
% 0.12/0.36  # Creating start rules for all 2 conjectures.
% 0.12/0.36  # There are 2 start rule candidates:
% 0.12/0.36  # Found 7 unit axioms.
% 0.12/0.36  # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.12/0.36  # 2 start rule tableaux created.
% 0.12/0.36  # 9 extension rule candidate clauses
% 0.12/0.36  # 7 unit axiom clauses
% 0.12/0.36  
% 0.12/0.36  # Requested 8, 32 cores available to the main process.
% 0.12/0.36  # There are not enough tableaux to fork, creating more from the initial 2
% 0.12/0.36  # There were 1 total branch saturation attempts.
% 0.12/0.36  # There were 0 of these attempts blocked.
% 0.12/0.36  # There were 0 deferred branch saturation attempts.
% 0.12/0.36  # There were 0 free duplicated saturations.
% 0.12/0.36  # There were 1 total successful branch saturations.
% 0.12/0.36  # There were 0 successful branch saturations in interreduction.
% 0.12/0.36  # There were 0 successful branch saturations on the branch.
% 0.12/0.36  # There were 1 successful branch saturations after the branch.
% 0.12/0.36  # SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.36  # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.36  # Begin clausification derivation
% 0.12/0.36  
% 0.12/0.36  # End clausification derivation
% 0.12/0.36  # Begin listing active clauses obtained from FOF to CNF conversion
% 0.12/0.36  cnf(i_0_6, plain, (empty(empty_set))).
% 0.12/0.36  cnf(i_0_8, plain, (empty(esk2_0))).
% 0.12/0.36  cnf(i_0_2, plain, (unordered_pair(X1,X2)=unordered_pair(X2,X1))).
% 0.12/0.36  cnf(i_0_17, negated_conjecture, (esk4_0!=empty_set)).
% 0.12/0.36  cnf(i_0_9, plain, (~empty(esk3_0))).
% 0.12/0.36  cnf(i_0_4, plain, (~in(X1,empty_set))).
% 0.12/0.36  cnf(i_0_7, plain, (~empty(unordered_pair(singleton(X1),unordered_pair(X1,X2))))).
% 0.12/0.36  cnf(i_0_16, negated_conjecture, (cartesian_product2(singleton(esk5_0),esk4_0)=empty_set|cartesian_product2(esk4_0,singleton(esk5_0))=empty_set)).
% 0.12/0.36  cnf(i_0_3, plain, (X1=empty_set|in(esk1_1(X1),X1))).
% 0.12/0.36  cnf(i_0_1, plain, (~in(X1,X2)|~in(X2,X1))).
% 0.12/0.36  cnf(i_0_14, plain, (X1=X2|~in(unordered_pair(singleton(X3),unordered_pair(X3,X1)),cartesian_product2(X4,singleton(X2))))).
% 0.12/0.36  cnf(i_0_12, plain, (X1=X2|~in(unordered_pair(singleton(X1),unordered_pair(X1,X3)),cartesian_product2(singleton(X2),X4)))).
% 0.12/0.36  cnf(i_0_15, plain, (in(X1,X2)|~in(unordered_pair(singleton(X1),unordered_pair(X1,X3)),cartesian_product2(X2,singleton(X4))))).
% 0.12/0.36  cnf(i_0_11, plain, (in(X1,X2)|~in(unordered_pair(singleton(X3),unordered_pair(X3,X1)),cartesian_product2(singleton(X4),X2)))).
% 0.12/0.36  cnf(i_0_13, plain, (in(unordered_pair(singleton(X1),unordered_pair(X1,X2)),cartesian_product2(X3,singleton(X2)))|~in(X1,X3))).
% 0.12/0.36  cnf(i_0_10, plain, (in(unordered_pair(singleton(X1),unordered_pair(X1,X2)),cartesian_product2(singleton(X1),X3))|~in(X2,X3))).
% 0.12/0.36  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 0.12/0.36  # Begin printing tableau
% 0.12/0.36  # Found 4 steps
% 0.12/0.36  cnf(i_0_17, negated_conjecture, (esk4_0!=empty_set), inference(start_rule)).
% 0.12/0.36  cnf(i_0_23, plain, (esk4_0!=empty_set), inference(extension_rule, [i_0_12])).
% 0.12/0.36  cnf(i_0_67, plain, (~in(unordered_pair(singleton(esk4_0),unordered_pair(esk4_0,X12)),cartesian_product2(singleton(empty_set),X11))), inference(extension_rule, [i_0_15])).
% 0.12/0.36  cnf(i_0_87, plain, (~in(unordered_pair(singleton(unordered_pair(singleton(esk4_0),unordered_pair(esk4_0,X12))),unordered_pair(unordered_pair(singleton(esk4_0),unordered_pair(esk4_0,X12)),X9)),cartesian_product2(cartesian_product2(singleton(empty_set),X11),singleton(X10)))), inference(etableau_closure_rule, [i_0_87, ...])).
% 0.12/0.36  # End printing tableau
% 0.12/0.36  # SZS output end
% 0.12/0.36  # Branches closed with saturation will be marked with an "s"
% 0.12/0.36  # Returning from population with 3 new_tableaux and 0 remaining starting tableaux.
% 0.12/0.36  # We now have 3 tableaux to operate on
% 0.12/0.36  # Found closed tableau during pool population.
% 0.12/0.36  # Proof search is over...
% 0.12/0.36  # Freeing feature tree
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