TSTP Solution File: SET171+3 by Etableau---0.67

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : SET171+3 : TPTP v8.1.0. Released v2.2.0.
% 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 : n003.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 00:58:33 EDT 2022

% Result   : Theorem 37.16s 5.77s
% Output   : CNFRefutation 37.16s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SET171+3 : TPTP v8.1.0. Released v2.2.0.
% 0.00/0.12  % 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 : n003.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 : Sun Jul 10 22:18:44 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.36  # No SInE strategy applied
% 0.18/0.36  # Auto-Mode selected heuristic G_____0017_C18_F1_SE_CS_SP_S4Y
% 0.18/0.36  # and selection function SelectMaxLComplexAPPNTNp.
% 0.18/0.36  #
% 0.18/0.36  # Number of axioms: 18 Number of unprocessed: 18
% 0.18/0.36  # Tableaux proof search.
% 0.18/0.36  # APR header successfully linked.
% 0.18/0.36  # Hello from C++
% 0.91/1.10  # The folding up rule is enabled...
% 0.91/1.10  # Local unification is enabled...
% 0.91/1.10  # Any saturation attempts will use folding labels...
% 0.91/1.10  # 18 beginning clauses after preprocessing and clausification
% 0.91/1.10  # Creating start rules for all 1 conjectures.
% 0.91/1.10  # There are 1 start rule candidates:
% 0.91/1.10  # Found 4 unit axioms.
% 0.91/1.10  # 1 start rule tableaux created.
% 0.91/1.10  # 14 extension rule candidate clauses
% 0.91/1.10  # 4 unit axiom clauses
% 0.91/1.10  
% 0.91/1.10  # Requested 8, 32 cores available to the main process.
% 0.91/1.10  # There are not enough tableaux to fork, creating more from the initial 1
% 0.91/1.14  # Returning from population with 8 new_tableaux and 0 remaining starting tableaux.
% 0.91/1.14  # We now have 8 tableaux to operate on
% 37.16/5.77  # There were 24 total branch saturation attempts.
% 37.16/5.77  # There were 13 of these attempts blocked.
% 37.16/5.77  # There were 0 deferred branch saturation attempts.
% 37.16/5.77  # There were 1 free duplicated saturations.
% 37.16/5.77  # There were 8 total successful branch saturations.
% 37.16/5.77  # There were 0 successful branch saturations in interreduction.
% 37.16/5.77  # There were 0 successful branch saturations on the branch.
% 37.16/5.77  # There were 7 successful branch saturations after the branch.
% 37.16/5.77  # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 37.16/5.77  # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 37.16/5.77  # Begin clausification derivation
% 37.16/5.77  
% 37.16/5.77  # End clausification derivation
% 37.16/5.77  # Begin listing active clauses obtained from FOF to CNF conversion
% 37.16/5.77  cnf(i_0_15, plain, (subset(X1,X1))).
% 37.16/5.77  cnf(i_0_8, plain, (subset(X1,X2)|X1!=X2)).
% 37.16/5.77  cnf(i_0_9, plain, (subset(X1,X2)|X1!=X2)).
% 37.16/5.77  cnf(i_0_10, plain, (union(X1,X2)=union(X2,X1))).
% 37.16/5.77  cnf(i_0_11, plain, (intersection(X1,X2)=intersection(X2,X1))).
% 37.16/5.77  cnf(i_0_7, plain, (X1=X2|~subset(X2,X1)|~subset(X1,X2))).
% 37.16/5.77  cnf(i_0_13, plain, (subset(X1,X2)|member(esk1_2(X1,X2),X1))).
% 37.16/5.77  cnf(i_0_14, plain, (member(X3,X2)|~member(X3,X1)|~subset(X1,X2))).
% 37.16/5.77  cnf(i_0_1, plain, (member(X1,union(X3,X2))|~member(X1,X2))).
% 37.16/5.77  cnf(i_0_2, plain, (member(X1,union(X2,X3))|~member(X1,X2))).
% 37.16/5.77  cnf(i_0_5, plain, (member(X1,X2)|~member(X1,intersection(X3,X2)))).
% 37.16/5.77  cnf(i_0_6, plain, (member(X1,X2)|~member(X1,intersection(X2,X3)))).
% 37.16/5.77  cnf(i_0_12, plain, (subset(X1,X2)|~member(esk1_2(X1,X2),X2))).
% 37.16/5.77  cnf(i_0_16, plain, (X1=X2|member(esk2_2(X1,X2),X2)|member(esk2_2(X1,X2),X1))).
% 37.16/5.77  cnf(i_0_4, plain, (member(X1,intersection(X2,X3))|~member(X1,X3)|~member(X1,X2))).
% 37.16/5.77  cnf(i_0_3, plain, (member(X1,X3)|member(X1,X2)|~member(X1,union(X2,X3)))).
% 37.16/5.77  cnf(i_0_17, plain, (X1=X2|~member(esk2_2(X1,X2),X2)|~member(esk2_2(X1,X2),X1))).
% 37.16/5.77  cnf(i_0_20, negated_conjecture, (union(esk3_0,intersection(esk4_0,esk5_0))!=intersection(union(esk3_0,esk4_0),union(esk3_0,esk5_0)))).
% 37.16/5.77  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 37.16/5.77  # Begin printing tableau
% 37.16/5.77  # Found 22 steps
% 37.16/5.77  cnf(i_0_20, negated_conjecture, (union(esk3_0,intersection(esk4_0,esk5_0))!=intersection(union(esk3_0,esk4_0),union(esk3_0,esk5_0))), inference(start_rule)).
% 37.16/5.77  cnf(i_0_21, plain, (union(esk3_0,intersection(esk4_0,esk5_0))!=intersection(union(esk3_0,esk4_0),union(esk3_0,esk5_0))), inference(extension_rule, [i_0_17])).
% 37.16/5.77  cnf(i_0_54, plain, (~member(esk2_2(union(esk3_0,intersection(esk4_0,esk5_0)),intersection(union(esk3_0,esk4_0),union(esk3_0,esk5_0))),intersection(union(esk3_0,esk4_0),union(esk3_0,esk5_0)))), inference(extension_rule, [i_0_4])).
% 37.16/5.77  cnf(i_0_164084, plain, (~member(esk2_2(union(esk3_0,intersection(esk4_0,esk5_0)),intersection(union(esk3_0,esk4_0),union(esk3_0,esk5_0))),union(esk3_0,esk5_0))), inference(extension_rule, [i_0_14])).
% 37.16/5.77  cnf(i_0_164085, plain, (~member(esk2_2(union(esk3_0,intersection(esk4_0,esk5_0)),intersection(union(esk3_0,esk4_0),union(esk3_0,esk5_0))),union(esk3_0,esk4_0))), inference(extension_rule, [i_0_1])).
% 37.16/5.77  cnf(i_0_55, plain, (~member(esk2_2(union(esk3_0,intersection(esk4_0,esk5_0)),intersection(union(esk3_0,esk4_0),union(esk3_0,esk5_0))),union(esk3_0,intersection(esk4_0,esk5_0)))), inference(extension_rule, [i_0_2])).
% 37.16/5.77  cnf(i_0_164114, plain, (~member(esk2_2(union(esk3_0,intersection(esk4_0,esk5_0)),intersection(union(esk3_0,esk4_0),union(esk3_0,esk5_0))),esk4_0)), inference(etableau_closure_rule, [i_0_164114, ...])).
% 37.16/5.77  cnf(i_0_164125, plain, (~member(esk2_2(union(esk3_0,intersection(esk4_0,esk5_0)),intersection(union(esk3_0,esk4_0),union(esk3_0,esk5_0))),esk3_0)), inference(extension_rule, [i_0_5])).
% 37.16/5.77  cnf(i_0_425937, plain, (~member(esk2_2(union(esk3_0,intersection(esk4_0,esk5_0)),intersection(union(esk3_0,esk4_0),union(esk3_0,esk5_0))),intersection(union(esk3_0,intersection(esk4_0,esk5_0)),esk3_0))), inference(etableau_closure_rule, [i_0_425937, ...])).
% 37.16/5.77  cnf(i_0_164102, plain, (~member(esk2_2(union(esk3_0,intersection(esk4_0,esk5_0)),intersection(union(esk3_0,esk4_0),union(esk3_0,esk5_0))),union(union(esk3_0,intersection(esk4_0,esk5_0)),intersection(intersection(union(esk3_0,esk4_0),union(esk3_0,esk5_0)),intersection(union(esk3_0,esk4_0),union(esk3_0,esk5_0)))))), inference(extension_rule, [i_0_1])).
% 37.16/5.77  cnf(i_0_433571, plain, (~member(esk2_2(union(esk3_0,intersection(esk4_0,esk5_0)),intersection(union(esk3_0,esk4_0),union(esk3_0,esk5_0))),intersection(intersection(union(esk3_0,esk4_0),union(esk3_0,esk5_0)),intersection(union(esk3_0,esk4_0),union(esk3_0,esk5_0))))), inference(extension_rule, [i_0_4])).
% 37.16/5.77  cnf(i_0_433579, plain, (~member(esk2_2(union(esk3_0,intersection(esk4_0,esk5_0)),intersection(union(esk3_0,esk4_0),union(esk3_0,esk5_0))),intersection(union(esk3_0,esk4_0),union(esk3_0,esk5_0)))), inference(extension_rule, [i_0_16])).
% 37.16/5.77  cnf(i_0_433587, plain, (intersection(union(esk3_0,esk4_0),union(esk3_0,esk5_0))=union(esk3_0,intersection(esk4_0,esk5_0))), inference(closure_rule, [i_0_20])).
% 37.16/5.77  cnf(i_0_433589, plain, (member(esk2_2(union(esk3_0,intersection(esk4_0,esk5_0)),intersection(union(esk3_0,esk4_0),union(esk3_0,esk5_0))),union(esk3_0,intersection(esk4_0,esk5_0)))), inference(extension_rule, [i_0_2])).
% 37.16/5.77  cnf(i_0_433604, plain, (member(esk2_2(union(esk3_0,intersection(esk4_0,esk5_0)),intersection(union(esk3_0,esk4_0),union(esk3_0,esk5_0))),union(union(esk3_0,intersection(esk4_0,esk5_0)),intersection(intersection(union(esk3_0,esk4_0),union(esk3_0,esk5_0)),intersection(union(esk3_0,esk4_0),union(esk3_0,esk5_0)))))), inference(closure_rule, [i_0_164102])).
% 37.16/5.77  cnf(i_0_433580, plain, (~member(esk2_2(union(esk3_0,intersection(esk4_0,esk5_0)),intersection(union(esk3_0,esk4_0),union(esk3_0,esk5_0))),intersection(union(esk3_0,esk4_0),union(esk3_0,esk5_0)))), inference(closure_rule, [i_0_433579])).
% 37.16/5.77  cnf(i_0_164103, plain, (~subset(union(union(esk3_0,intersection(esk4_0,esk5_0)),intersection(intersection(union(esk3_0,esk4_0),union(esk3_0,esk5_0)),intersection(union(esk3_0,esk4_0),union(esk3_0,esk5_0)))),union(esk3_0,esk5_0))), inference(extension_rule, [i_0_8])).
% 37.16/5.77  cnf(i_0_433613, plain, (union(union(esk3_0,intersection(esk4_0,esk5_0)),intersection(intersection(union(esk3_0,esk4_0),union(esk3_0,esk5_0)),intersection(union(esk3_0,esk4_0),union(esk3_0,esk5_0))))!=union(esk3_0,esk5_0)), inference(extension_rule, [i_0_17])).
% 37.16/5.77  cnf(i_0_433618, plain, (~member(esk2_2(union(union(esk3_0,intersection(esk4_0,esk5_0)),intersection(intersection(union(esk3_0,esk4_0),union(esk3_0,esk5_0)),intersection(union(esk3_0,esk4_0),union(esk3_0,esk5_0)))),union(esk3_0,esk5_0)),union(esk3_0,esk5_0))), inference(extension_rule, [i_0_5])).
% 37.16/5.77  cnf(i_0_433619, plain, (~member(esk2_2(union(union(esk3_0,intersection(esk4_0,esk5_0)),intersection(intersection(union(esk3_0,esk4_0),union(esk3_0,esk5_0)),intersection(union(esk3_0,esk4_0),union(esk3_0,esk5_0)))),union(esk3_0,esk5_0)),union(union(esk3_0,intersection(esk4_0,esk5_0)),intersection(intersection(union(esk3_0,esk4_0),union(esk3_0,esk5_0)),intersection(union(esk3_0,esk4_0),union(esk3_0,esk5_0)))))), inference(etableau_closure_rule, [i_0_433619, ...])).
% 37.16/5.77  cnf(i_0_433630, plain, (~member(esk2_2(union(union(esk3_0,intersection(esk4_0,esk5_0)),intersection(intersection(union(esk3_0,esk4_0),union(esk3_0,esk5_0)),intersection(union(esk3_0,esk4_0),union(esk3_0,esk5_0)))),union(esk3_0,esk5_0)),intersection(X8,union(esk3_0,esk5_0)))), inference(extension_rule, [i_0_6])).
% 37.16/5.77  cnf(i_0_903901, plain, (~member(esk2_2(union(union(esk3_0,intersection(esk4_0,esk5_0)),intersection(intersection(union(esk3_0,esk4_0),union(esk3_0,esk5_0)),intersection(union(esk3_0,esk4_0),union(esk3_0,esk5_0)))),union(esk3_0,esk5_0)),intersection(intersection(X8,union(esk3_0,esk5_0)),X7))), inference(etableau_closure_rule, [i_0_903901, ...])).
% 37.16/5.77  # End printing tableau
% 37.16/5.77  # SZS output end
% 37.16/5.77  # Branches closed with saturation will be marked with an "s"
% 37.80/5.79  # Child (12125) has found a proof.
% 37.80/5.79  
% 37.80/5.79  # Proof search is over...
% 37.80/5.79  # Freeing feature tree
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