TSTP Solution File: SET143+3 by Etableau---0.67

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : SET143+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 : n004.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 00:58:17 EDT 2022

% Result   : Theorem 10.87s 3.32s
% Output   : CNFRefutation 10.87s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SET143+3 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.13  % 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 : n004.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 : Mon Jul 11 02:11:07 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.37  # No SInE strategy applied
% 0.19/0.37  # Auto-Mode selected heuristic G_____0017_C18_F1_SE_CS_SP_S4Y
% 0.19/0.37  # and selection function SelectMaxLComplexAPPNTNp.
% 0.19/0.37  #
% 0.19/0.37  # Number of axioms: 14 Number of unprocessed: 14
% 0.19/0.37  # Tableaux proof search.
% 0.19/0.37  # APR header successfully linked.
% 0.19/0.37  # Hello from C++
% 1.07/1.29  # The folding up rule is enabled...
% 1.07/1.29  # Local unification is enabled...
% 1.07/1.29  # Any saturation attempts will use folding labels...
% 1.07/1.29  # 14 beginning clauses after preprocessing and clausification
% 1.07/1.29  # Creating start rules for all 1 conjectures.
% 1.07/1.29  # There are 1 start rule candidates:
% 1.07/1.29  # Found 3 unit axioms.
% 1.07/1.29  # 1 start rule tableaux created.
% 1.07/1.29  # 11 extension rule candidate clauses
% 1.07/1.29  # 3 unit axiom clauses
% 1.07/1.29  
% 1.07/1.29  # Requested 8, 32 cores available to the main process.
% 1.07/1.29  # There are not enough tableaux to fork, creating more from the initial 1
% 1.97/2.14  # Returning from population with 10 new_tableaux and 0 remaining starting tableaux.
% 1.97/2.14  # We now have 10 tableaux to operate on
% 10.87/3.32  # There were 11 total branch saturation attempts.
% 10.87/3.32  # There were 6 of these attempts blocked.
% 10.87/3.32  # There were 0 deferred branch saturation attempts.
% 10.87/3.32  # There were 0 free duplicated saturations.
% 10.87/3.32  # There were 2 total successful branch saturations.
% 10.87/3.32  # There were 0 successful branch saturations in interreduction.
% 10.87/3.32  # There were 0 successful branch saturations on the branch.
% 10.87/3.32  # There were 2 successful branch saturations after the branch.
% 10.87/3.32  # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.87/3.32  # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.87/3.32  # Begin clausification derivation
% 10.87/3.32  
% 10.87/3.32  # End clausification derivation
% 10.87/3.32  # Begin listing active clauses obtained from FOF to CNF conversion
% 10.87/3.32  cnf(i_0_11, plain, (subset(X1,X1))).
% 10.87/3.32  cnf(i_0_5, plain, (subset(X1,X2)|X1!=X2)).
% 10.87/3.32  cnf(i_0_6, plain, (subset(X1,X2)|X1!=X2)).
% 10.87/3.32  cnf(i_0_7, plain, (intersection(X1,X2)=intersection(X2,X1))).
% 10.87/3.32  cnf(i_0_4, plain, (X1=X2|~subset(X2,X1)|~subset(X1,X2))).
% 10.87/3.32  cnf(i_0_9, plain, (subset(X1,X2)|member(esk1_2(X1,X2),X1))).
% 10.87/3.32  cnf(i_0_10, plain, (member(X3,X2)|~member(X3,X1)|~subset(X1,X2))).
% 10.87/3.32  cnf(i_0_2, plain, (member(X1,X2)|~member(X1,intersection(X3,X2)))).
% 10.87/3.32  cnf(i_0_3, plain, (member(X1,X2)|~member(X1,intersection(X2,X3)))).
% 10.87/3.32  cnf(i_0_8, plain, (subset(X1,X2)|~member(esk1_2(X1,X2),X2))).
% 10.87/3.32  cnf(i_0_12, plain, (X1=X2|member(esk2_2(X1,X2),X2)|member(esk2_2(X1,X2),X1))).
% 10.87/3.32  cnf(i_0_1, plain, (member(X1,intersection(X2,X3))|~member(X1,X3)|~member(X1,X2))).
% 10.87/3.32  cnf(i_0_16, negated_conjecture, (intersection(intersection(esk3_0,esk4_0),esk5_0)!=intersection(esk3_0,intersection(esk4_0,esk5_0)))).
% 10.87/3.32  cnf(i_0_13, plain, (X1=X2|~member(esk2_2(X1,X2),X2)|~member(esk2_2(X1,X2),X1))).
% 10.87/3.32  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 10.87/3.32  # Begin printing tableau
% 10.87/3.32  # Found 23 steps
% 10.87/3.32  cnf(i_0_16, negated_conjecture, (intersection(intersection(esk3_0,esk4_0),esk5_0)!=intersection(esk3_0,intersection(esk4_0,esk5_0))), inference(start_rule)).
% 10.87/3.32  cnf(i_0_17, plain, (intersection(intersection(esk3_0,esk4_0),esk5_0)!=intersection(esk3_0,intersection(esk4_0,esk5_0))), inference(extension_rule, [i_0_13])).
% 10.87/3.32  cnf(i_0_43, plain, (~member(esk2_2(intersection(intersection(esk3_0,esk4_0),esk5_0),intersection(esk3_0,intersection(esk4_0,esk5_0))),intersection(esk3_0,intersection(esk4_0,esk5_0)))), inference(extension_rule, [i_0_10])).
% 10.87/3.32  cnf(i_0_55, plain, (~member(esk2_2(intersection(intersection(esk3_0,esk4_0),esk5_0),intersection(esk3_0,intersection(esk4_0,esk5_0))),intersection(esk3_0,intersection(esk4_0,esk5_0)))), inference(extension_rule, [i_0_2])).
% 10.87/3.32  cnf(i_0_56, plain, (~subset(intersection(esk3_0,intersection(esk4_0,esk5_0)),intersection(esk3_0,intersection(esk4_0,esk5_0)))), inference(closure_rule, [i_0_11])).
% 10.87/3.32  cnf(i_0_44, plain, (~member(esk2_2(intersection(intersection(esk3_0,esk4_0),esk5_0),intersection(esk3_0,intersection(esk4_0,esk5_0))),intersection(intersection(esk3_0,esk4_0),esk5_0))), inference(extension_rule, [i_0_10])).
% 10.87/3.32  cnf(i_0_324589, plain, (~member(esk2_2(intersection(intersection(esk3_0,esk4_0),esk5_0),intersection(esk3_0,intersection(esk4_0,esk5_0))),intersection(esk5_0,intersection(esk3_0,esk4_0)))), inference(extension_rule, [i_0_3])).
% 10.87/3.32  cnf(i_0_324590, plain, (~subset(intersection(esk5_0,intersection(esk3_0,esk4_0)),intersection(intersection(esk3_0,esk4_0),esk5_0))), inference(extension_rule, [i_0_5])).
% 10.87/3.32  cnf(i_0_482783, plain, (intersection(esk5_0,intersection(esk3_0,esk4_0))!=intersection(intersection(esk3_0,esk4_0),esk5_0)), inference(closure_rule, [i_0_7])).
% 10.87/3.32  cnf(i_0_324578, plain, (~member(esk2_2(intersection(intersection(esk3_0,esk4_0),esk5_0),intersection(esk3_0,intersection(esk4_0,esk5_0))),intersection(intersection(esk3_0,intersection(esk4_0,esk5_0)),intersection(esk3_0,intersection(esk4_0,esk5_0))))), inference(extension_rule, [i_0_10])).
% 10.87/3.32  cnf(i_0_483518, plain, (~member(esk2_2(intersection(intersection(esk3_0,esk4_0),esk5_0),intersection(esk3_0,intersection(esk4_0,esk5_0))),intersection(esk3_0,intersection(esk4_0,esk5_0)))), inference(extension_rule, [i_0_12])).
% 10.87/3.32  cnf(i_0_483523, plain, (intersection(intersection(esk3_0,esk4_0),esk5_0)=intersection(esk3_0,intersection(esk4_0,esk5_0))), inference(closure_rule, [i_0_16])).
% 10.87/3.32  cnf(i_0_483525, plain, (member(esk2_2(intersection(intersection(esk3_0,esk4_0),esk5_0),intersection(esk3_0,intersection(esk4_0,esk5_0))),intersection(intersection(esk3_0,esk4_0),esk5_0))), inference(extension_rule, [i_0_1])).
% 10.87/3.32  cnf(i_0_483534, plain, (~member(esk2_2(intersection(intersection(esk3_0,esk4_0),esk5_0),intersection(esk3_0,intersection(esk4_0,esk5_0))),intersection(intersection(esk3_0,esk4_0),esk5_0))), inference(closure_rule, [i_0_483525])).
% 10.87/3.32  cnf(i_0_482781, plain, (~member(esk2_2(intersection(intersection(esk3_0,esk4_0),esk5_0),intersection(esk3_0,intersection(esk4_0,esk5_0))),intersection(intersection(esk5_0,intersection(esk3_0,esk4_0)),X8))), inference(etableau_closure_rule, [i_0_482781, ...])).
% 10.87/3.32  cnf(i_0_483532, plain, (member(esk2_2(intersection(intersection(esk3_0,esk4_0),esk5_0),intersection(esk3_0,intersection(esk4_0,esk5_0))),intersection(intersection(intersection(esk3_0,esk4_0),esk5_0),intersection(intersection(esk3_0,esk4_0),esk5_0)))), inference(extension_rule, [i_0_10])).
% 10.87/3.32  cnf(i_0_483809, plain, (member(esk2_2(intersection(intersection(esk3_0,esk4_0),esk5_0),intersection(esk3_0,intersection(esk4_0,esk5_0))),intersection(esk3_0,intersection(esk4_0,esk5_0)))), inference(closure_rule, [i_0_483518])).
% 10.87/3.32  cnf(i_0_483519, plain, (~subset(intersection(esk3_0,intersection(esk4_0,esk5_0)),intersection(intersection(esk3_0,intersection(esk4_0,esk5_0)),intersection(esk3_0,intersection(esk4_0,esk5_0))))), inference(extension_rule, [i_0_9])).
% 10.87/3.32  cnf(i_0_484503, plain, (member(esk1_2(intersection(esk3_0,intersection(esk4_0,esk5_0)),intersection(intersection(esk3_0,intersection(esk4_0,esk5_0)),intersection(esk3_0,intersection(esk4_0,esk5_0)))),intersection(esk3_0,intersection(esk4_0,esk5_0)))), inference(extension_rule, [i_0_1])).
% 10.87/3.32  cnf(i_0_484774, plain, (~member(esk1_2(intersection(esk3_0,intersection(esk4_0,esk5_0)),intersection(intersection(esk3_0,intersection(esk4_0,esk5_0)),intersection(esk3_0,intersection(esk4_0,esk5_0)))),intersection(esk3_0,intersection(esk4_0,esk5_0)))), inference(closure_rule, [i_0_484503])).
% 10.87/3.32  cnf(i_0_484772, plain, (member(esk1_2(intersection(esk3_0,intersection(esk4_0,esk5_0)),intersection(intersection(esk3_0,intersection(esk4_0,esk5_0)),intersection(esk3_0,intersection(esk4_0,esk5_0)))),intersection(intersection(esk3_0,intersection(esk4_0,esk5_0)),intersection(esk3_0,intersection(esk4_0,esk5_0))))), inference(extension_rule, [i_0_8])).
% 10.87/3.32  cnf(i_0_484802, plain, (subset(intersection(esk3_0,intersection(esk4_0,esk5_0)),intersection(intersection(esk3_0,intersection(esk4_0,esk5_0)),intersection(esk3_0,intersection(esk4_0,esk5_0))))), inference(closure_rule, [i_0_483519])).
% 10.87/3.32  cnf(i_0_483811, plain, (~subset(intersection(intersection(intersection(esk3_0,esk4_0),esk5_0),intersection(intersection(esk3_0,esk4_0),esk5_0)),intersection(esk3_0,intersection(esk4_0,esk5_0)))), inference(etableau_closure_rule, [i_0_483811, ...])).
% 10.87/3.32  # End printing tableau
% 10.87/3.32  # SZS output end
% 10.87/3.32  # Branches closed with saturation will be marked with an "s"
% 10.87/3.34  # Child (24789) has found a proof.
% 10.87/3.34  
% 10.87/3.34  # Proof search is over...
% 10.87/3.34  # Freeing feature tree
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