TSTP Solution File: SET609+3 by Etableau---0.67

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : SET609+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 : n016.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 01:01:17 EDT 2022

% Result   : Theorem 82.24s 13.74s
% Output   : CNFRefutation 82.24s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SET609+3 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.13  % Command  : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.13/0.34  % Computer : n016.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sun Jul 10 08:54:26 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.13/0.38  # No SInE strategy applied
% 0.13/0.38  # Auto-Mode selected heuristic G_E___300_C18_F1_SE_CS_SP_PS_S0Y
% 0.13/0.38  # and selection function SelectMaxLComplexAvoidPosPred.
% 0.13/0.38  #
% 0.13/0.38  # Presaturation interreduction done
% 0.13/0.38  # Number of axioms: 21 Number of unprocessed: 19
% 0.13/0.38  # Tableaux proof search.
% 0.13/0.38  # APR header successfully linked.
% 0.13/0.38  # Hello from C++
% 0.20/0.42  # The folding up rule is enabled...
% 0.20/0.42  # Local unification is enabled...
% 0.20/0.42  # Any saturation attempts will use folding labels...
% 0.20/0.42  # 19 beginning clauses after preprocessing and clausification
% 0.20/0.42  # Creating start rules for all 1 conjectures.
% 0.20/0.42  # There are 1 start rule candidates:
% 0.20/0.42  # Found 4 unit axioms.
% 0.20/0.42  # 1 start rule tableaux created.
% 0.20/0.42  # 15 extension rule candidate clauses
% 0.20/0.42  # 4 unit axiom clauses
% 0.20/0.42  
% 0.20/0.42  # Requested 8, 32 cores available to the main process.
% 0.20/0.42  # There are not enough tableaux to fork, creating more from the initial 1
% 3.63/3.83  # Returning from population with 10 new_tableaux and 0 remaining starting tableaux.
% 3.63/3.83  # We now have 10 tableaux to operate on
% 82.24/13.74  # There were 29 total branch saturation attempts.
% 82.24/13.74  # There were 4 of these attempts blocked.
% 82.24/13.74  # There were 0 deferred branch saturation attempts.
% 82.24/13.74  # There were 7 free duplicated saturations.
% 82.24/13.74  # There were 11 total successful branch saturations.
% 82.24/13.74  # There were 0 successful branch saturations in interreduction.
% 82.24/13.74  # There were 0 successful branch saturations on the branch.
% 82.24/13.74  # There were 4 successful branch saturations after the branch.
% 82.24/13.74  # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 82.24/13.74  # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 82.24/13.74  # Begin clausification derivation
% 82.24/13.74  
% 82.24/13.74  # End clausification derivation
% 82.24/13.74  # Begin listing active clauses obtained from FOF to CNF conversion
% 82.24/13.74  cnf(i_0_18, plain, (subset(X1,X1))).
% 82.24/13.74  cnf(i_0_13, plain, (union(X1,X2)=union(X2,X1))).
% 82.24/13.74  cnf(i_0_14, plain, (intersection(X1,X2)=intersection(X2,X1))).
% 82.24/13.74  cnf(i_0_23, negated_conjecture, (union(intersection(esk3_0,esk5_0),difference(esk3_0,esk4_0))!=difference(esk3_0,difference(esk4_0,esk5_0)))).
% 82.24/13.74  cnf(i_0_16, plain, (subset(X1,X2)|member(esk1_2(X1,X2),X1))).
% 82.24/13.74  cnf(i_0_1, plain, (member(X1,union(X2,X3))|~member(X1,X3))).
% 82.24/13.74  cnf(i_0_2, plain, (member(X1,union(X2,X3))|~member(X1,X2))).
% 82.24/13.74  cnf(i_0_8, plain, (~member(X1,difference(X2,X3))|~member(X1,X3))).
% 82.24/13.74  cnf(i_0_5, plain, (member(X1,X2)|~member(X1,intersection(X3,X2)))).
% 82.24/13.74  cnf(i_0_6, plain, (member(X1,X2)|~member(X1,intersection(X2,X3)))).
% 82.24/13.74  cnf(i_0_9, plain, (member(X1,X2)|~member(X1,difference(X2,X3)))).
% 82.24/13.74  cnf(i_0_15, plain, (subset(X1,X2)|~member(esk1_2(X1,X2),X2))).
% 82.24/13.74  cnf(i_0_10, plain, (X1=X2|~subset(X2,X1)|~subset(X1,X2))).
% 82.24/13.74  cnf(i_0_17, plain, (member(X1,X2)|~subset(X3,X2)|~member(X1,X3))).
% 82.24/13.74  cnf(i_0_19, plain, (X1=X2|member(esk2_2(X1,X2),X1)|member(esk2_2(X1,X2),X2))).
% 82.24/13.74  cnf(i_0_7, plain, (member(X1,difference(X2,X3))|member(X1,X3)|~member(X1,X2))).
% 82.24/13.74  cnf(i_0_3, plain, (member(X1,X2)|member(X1,X3)|~member(X1,union(X2,X3)))).
% 82.24/13.74  cnf(i_0_4, plain, (member(X1,intersection(X2,X3))|~member(X1,X3)|~member(X1,X2))).
% 82.24/13.74  cnf(i_0_20, plain, (X1=X2|~member(esk2_2(X1,X2),X2)|~member(esk2_2(X1,X2),X1))).
% 82.24/13.74  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 82.24/13.74  # Begin printing tableau
% 82.24/13.74  # Found 19 steps
% 82.24/13.74  cnf(i_0_23, negated_conjecture, (union(intersection(esk3_0,esk5_0),difference(esk3_0,esk4_0))!=difference(esk3_0,difference(esk4_0,esk5_0))), inference(start_rule)).
% 82.24/13.74  cnf(i_0_26, plain, (union(intersection(esk3_0,esk5_0),difference(esk3_0,esk4_0))!=difference(esk3_0,difference(esk4_0,esk5_0))), inference(extension_rule, [i_0_20])).
% 82.24/13.74  cnf(i_0_62, plain, (~member(esk2_2(union(intersection(esk3_0,esk5_0),difference(esk3_0,esk4_0)),difference(esk3_0,difference(esk4_0,esk5_0))),difference(esk3_0,difference(esk4_0,esk5_0)))), inference(extension_rule, [i_0_7])).
% 82.24/13.74  cnf(i_0_63, plain, (~member(esk2_2(union(intersection(esk3_0,esk5_0),difference(esk3_0,esk4_0)),difference(esk3_0,difference(esk4_0,esk5_0))),union(intersection(esk3_0,esk5_0),difference(esk3_0,esk4_0)))), inference(etableau_closure_rule, [i_0_63, ...])).
% 82.24/13.74  cnf(i_0_378040, plain, (member(esk2_2(union(intersection(esk3_0,esk5_0),difference(esk3_0,esk4_0)),difference(esk3_0,difference(esk4_0,esk5_0))),difference(difference(esk3_0,difference(esk4_0,esk5_0)),difference(esk3_0,difference(esk4_0,esk5_0))))), inference(extension_rule, [i_0_1])).
% 82.24/13.74  cnf(i_0_676567, plain, (member(esk2_2(union(intersection(esk3_0,esk5_0),difference(esk3_0,esk4_0)),difference(esk3_0,difference(esk4_0,esk5_0))),union(X9,difference(difference(esk3_0,difference(esk4_0,esk5_0)),difference(esk3_0,difference(esk4_0,esk5_0)))))), inference(extension_rule, [i_0_2])).
% 82.24/13.74  cnf(i_0_1167773, plain, (member(esk2_2(union(intersection(esk3_0,esk5_0),difference(esk3_0,esk4_0)),difference(esk3_0,difference(esk4_0,esk5_0))),union(union(X9,difference(difference(esk3_0,difference(esk4_0,esk5_0)),difference(esk3_0,difference(esk4_0,esk5_0)))),X10))), inference(extension_rule, [i_0_1])).
% 82.24/13.74  cnf(i_0_1167788, plain, (member(esk2_2(union(intersection(esk3_0,esk5_0),difference(esk3_0,esk4_0)),difference(esk3_0,difference(esk4_0,esk5_0))),union(X11,union(union(X9,difference(difference(esk3_0,difference(esk4_0,esk5_0)),difference(esk3_0,difference(esk4_0,esk5_0)))),X10)))), inference(extension_rule, [i_0_8])).
% 82.24/13.74  cnf(i_0_1167803, plain, (~member(esk2_2(union(intersection(esk3_0,esk5_0),difference(esk3_0,esk4_0)),difference(esk3_0,difference(esk4_0,esk5_0))),difference(X12,union(X11,union(union(X9,difference(difference(esk3_0,difference(esk4_0,esk5_0)),difference(esk3_0,difference(esk4_0,esk5_0)))),X10))))), inference(extension_rule, [i_0_5])).
% 82.24/13.74  cnf(i_0_378042, plain, (~member(esk2_2(union(intersection(esk3_0,esk5_0),difference(esk3_0,esk4_0)),difference(esk3_0,difference(esk4_0,esk5_0))),difference(esk3_0,difference(esk4_0,esk5_0)))), inference(extension_rule, [i_0_19])).
% 82.24/13.74  cnf(i_0_1167829, plain, (union(intersection(esk3_0,esk5_0),difference(esk3_0,esk4_0))=difference(esk3_0,difference(esk4_0,esk5_0))), inference(closure_rule, [i_0_23])).
% 82.24/13.74  cnf(i_0_1167822, plain, (~member(esk2_2(union(intersection(esk3_0,esk5_0),difference(esk3_0,esk4_0)),difference(esk3_0,difference(esk4_0,esk5_0))),intersection(X8,difference(X12,union(X11,union(union(X9,difference(difference(esk3_0,difference(esk4_0,esk5_0)),difference(esk3_0,difference(esk4_0,esk5_0)))),X10)))))), inference(etableau_closure_rule, [i_0_1167822, ...])).
% 82.24/13.74  cnf(i_0_1167830, plain, (member(esk2_2(union(intersection(esk3_0,esk5_0),difference(esk3_0,esk4_0)),difference(esk3_0,difference(esk4_0,esk5_0))),union(intersection(esk3_0,esk5_0),difference(esk3_0,esk4_0)))), inference(extension_rule, [i_0_4])).
% 82.24/13.74  cnf(i_0_1167914, plain, (~member(esk2_2(union(intersection(esk3_0,esk5_0),difference(esk3_0,esk4_0)),difference(esk3_0,difference(esk4_0,esk5_0))),union(intersection(esk3_0,esk5_0),difference(esk3_0,esk4_0)))), inference(closure_rule, [i_0_1167830])).
% 82.24/13.74  cnf(i_0_1167912, plain, (member(esk2_2(union(intersection(esk3_0,esk5_0),difference(esk3_0,esk4_0)),difference(esk3_0,difference(esk4_0,esk5_0))),intersection(union(intersection(esk3_0,esk5_0),difference(esk3_0,esk4_0)),union(intersection(esk3_0,esk5_0),difference(esk3_0,esk4_0))))), inference(extension_rule, [i_0_17])).
% 82.24/13.74  cnf(i_0_1167929, plain, (member(esk2_2(union(intersection(esk3_0,esk5_0),difference(esk3_0,esk4_0)),difference(esk3_0,difference(esk4_0,esk5_0))),difference(esk3_0,difference(esk4_0,esk5_0)))), inference(closure_rule, [i_0_378042])).
% 82.24/13.74  cnf(i_0_1167930, plain, (~subset(intersection(union(intersection(esk3_0,esk5_0),difference(esk3_0,esk4_0)),union(intersection(esk3_0,esk5_0),difference(esk3_0,esk4_0))),difference(esk3_0,difference(esk4_0,esk5_0)))), inference(extension_rule, [i_0_15])).
% 82.24/13.74  cnf(i_0_1999155, plain, (~member(esk1_2(intersection(union(intersection(esk3_0,esk5_0),difference(esk3_0,esk4_0)),union(intersection(esk3_0,esk5_0),difference(esk3_0,esk4_0))),difference(esk3_0,difference(esk4_0,esk5_0))),difference(esk3_0,difference(esk4_0,esk5_0)))), inference(extension_rule, [i_0_9])).
% 82.24/13.74  cnf(i_0_2136124, plain, (~member(esk1_2(intersection(union(intersection(esk3_0,esk5_0),difference(esk3_0,esk4_0)),union(intersection(esk3_0,esk5_0),difference(esk3_0,esk4_0))),difference(esk3_0,difference(esk4_0,esk5_0))),difference(difference(esk3_0,difference(esk4_0,esk5_0)),X6))), inference(etableau_closure_rule, [i_0_2136124, ...])).
% 82.24/13.74  # End printing tableau
% 82.24/13.74  # SZS output end
% 82.24/13.74  # Branches closed with saturation will be marked with an "s"
% 82.24/13.76  # Child (29902) has found a proof.
% 82.24/13.76  
% 82.24/13.76  # Proof search is over...
% 82.24/13.76  # Freeing feature tree
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