TSTP Solution File: LAT033-1 by Etableau---0.67

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : LAT033-1 : TPTP v8.1.0. Bugfixed v2.5.0.
% 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   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Sun Jul 17 04:48:35 EDT 2022

% Result   : Unsatisfiable 0.21s 0.39s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14  % Problem  : LAT033-1 : TPTP v8.1.0. Bugfixed v2.5.0.
% 0.04/0.14  % Command  : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.14/0.36  % Computer : n007.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 600
% 0.14/0.36  % DateTime : Wed Jun 29 08:47:37 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.21/0.39  # No SInE strategy applied
% 0.21/0.39  # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.21/0.39  # and selection function SelectComplexExceptUniqMaxHorn.
% 0.21/0.39  #
% 0.21/0.39  # Presaturation interreduction done
% 0.21/0.39  # Number of axioms: 7 Number of unprocessed: 7
% 0.21/0.39  # Tableaux proof search.
% 0.21/0.39  # APR header successfully linked.
% 0.21/0.39  # Hello from C++
% 0.21/0.39  # The folding up rule is enabled...
% 0.21/0.39  # Local unification is enabled...
% 0.21/0.39  # Any saturation attempts will use folding labels...
% 0.21/0.39  # 7 beginning clauses after preprocessing and clausification
% 0.21/0.39  # Creating start rules for all 1 conjectures.
% 0.21/0.39  # There are 1 start rule candidates:
% 0.21/0.39  # Found 7 unit axioms.
% 0.21/0.39  # 1 start rule tableaux created.
% 0.21/0.39  # 0 extension rule candidate clauses
% 0.21/0.39  # 7 unit axiom clauses
% 0.21/0.39  
% 0.21/0.39  # Requested 8, 32 cores available to the main process.
% 0.21/0.39  # There are not enough tableaux to fork, creating more from the initial 1
% 0.21/0.39  # Creating equality axioms
% 0.21/0.39  # Ran out of tableaux, making start rules for all clauses
% 0.21/0.39  # Returning from population with 12 new_tableaux and 0 remaining starting tableaux.
% 0.21/0.39  # We now have 12 tableaux to operate on
% 0.21/0.39  # There were 1 total branch saturation attempts.
% 0.21/0.39  # There were 0 of these attempts blocked.
% 0.21/0.39  # There were 0 deferred branch saturation attempts.
% 0.21/0.39  # There were 0 free duplicated saturations.
% 0.21/0.39  # There were 1 total successful branch saturations.
% 0.21/0.39  # There were 0 successful branch saturations in interreduction.
% 0.21/0.39  # There were 0 successful branch saturations on the branch.
% 0.21/0.39  # There were 1 successful branch saturations after the branch.
% 0.21/0.39  # SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.39  # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.39  # Begin clausification derivation
% 0.21/0.39  
% 0.21/0.39  # End clausification derivation
% 0.21/0.39  # Begin listing active clauses obtained from FOF to CNF conversion
% 0.21/0.39  cnf(i_0_9, plain, (join(X1,meet(X1,X2))=X1)).
% 0.21/0.39  cnf(i_0_8, plain, (meet(X1,join(X1,X2))=X1)).
% 0.21/0.39  cnf(i_0_13, plain, (join(join(X1,X2),X3)=join(X1,join(X2,X3)))).
% 0.21/0.39  cnf(i_0_12, plain, (meet(meet(X1,X2),X3)=meet(X1,meet(X2,X3)))).
% 0.21/0.39  cnf(i_0_11, plain, (join(X1,X2)=join(X2,X1))).
% 0.21/0.39  cnf(i_0_10, plain, (meet(X1,X2)=meet(X2,X1))).
% 0.21/0.39  cnf(i_0_14, negated_conjecture, (join(xx,xx)!=xx)).
% 0.21/0.39  cnf(i_0_16, plain, (X4=X4)).
% 0.21/0.39  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 0.21/0.39  # Begin printing tableau
% 0.21/0.39  # Found 6 steps
% 0.21/0.39  cnf(i_0_9, plain, (join(X6,meet(X6,X9))=X6), inference(start_rule)).
% 0.21/0.39  cnf(i_0_22, plain, (join(X6,meet(X6,X9))=X6), inference(extension_rule, [i_0_21])).
% 0.21/0.39  cnf(i_0_41, plain, (join(X4,meet(X4,X2))!=X4), inference(closure_rule, [i_0_9])).
% 0.21/0.39  cnf(i_0_40, plain, (meet(join(X4,meet(X4,X2)),join(X6,meet(X6,X9)))=meet(X4,X6)), inference(extension_rule, [i_0_19])).
% 0.21/0.39  cnf(i_0_49, plain, (meet(X4,X6)!=join(meet(X4,X6),meet(meet(X4,X6),X2))), inference(closure_rule, [i_0_9])).
% 0.21/0.39  cnf(i_0_47, plain, (meet(join(X4,meet(X4,X2)),join(X6,meet(X6,X9)))=join(meet(X4,X6),meet(meet(X4,X6),X2))), inference(etableau_closure_rule, [i_0_47, ...])).
% 0.21/0.39  # End printing tableau
% 0.21/0.39  # SZS output end
% 0.21/0.39  # Branches closed with saturation will be marked with an "s"
% 0.21/0.39  # There were 1 total branch saturation attempts.
% 0.21/0.39  # There were 0 of these attempts blocked.
% 0.21/0.39  # There were 0 deferred branch saturation attempts.
% 0.21/0.39  # There were 0 free duplicated saturations.
% 0.21/0.39  # There were 1 total successful branch saturations.
% 0.21/0.39  # There were 0 successful branch saturations in interreduction.
% 0.21/0.39  # There were 0 successful branch saturations on the branch.
% 0.21/0.39  # There were 1 successful branch saturations after the branch.
% 0.21/0.39  # SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.39  # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.39  # Begin clausification derivation
% 0.21/0.39  
% 0.21/0.39  # End clausification derivation
% 0.21/0.39  # Begin listing active clauses obtained from FOF to CNF conversion
% 0.21/0.39  cnf(i_0_9, plain, (join(X1,meet(X1,X2))=X1)).
% 0.21/0.39  cnf(i_0_8, plain, (meet(X1,join(X1,X2))=X1)).
% 0.21/0.39  cnf(i_0_13, plain, (join(join(X1,X2),X3)=join(X1,join(X2,X3)))).
% 0.21/0.39  cnf(i_0_12, plain, (meet(meet(X1,X2),X3)=meet(X1,meet(X2,X3)))).
% 0.21/0.39  cnf(i_0_11, plain, (join(X1,X2)=join(X2,X1))).
% 0.21/0.39  cnf(i_0_10, plain, (meet(X1,X2)=meet(X2,X1))).
% 0.21/0.39  cnf(i_0_14, negated_conjecture, (join(xx,xx)!=xx)).
% 0.21/0.39  cnf(i_0_16, plain, (X4=X4)).
% 0.21/0.39  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 0.21/0.39  # Begin printing tableau
% 0.21/0.39  # Found 6 steps
% 0.21/0.39  cnf(i_0_9, plain, (join(X4,meet(X4,X7))=X4), inference(start_rule)).
% 0.21/0.39  cnf(i_0_22, plain, (join(X4,meet(X4,X7))=X4), inference(extension_rule, [i_0_21])).
% 0.21/0.39  cnf(i_0_42, plain, (join(X6,meet(X6,X2))!=X6), inference(closure_rule, [i_0_9])).
% 0.21/0.39  cnf(i_0_40, plain, (meet(join(X4,meet(X4,X7)),join(X6,meet(X6,X2)))=meet(X4,X6)), inference(extension_rule, [i_0_19])).
% 0.21/0.39  cnf(i_0_49, plain, (meet(X4,X6)!=join(meet(X4,X6),meet(meet(X4,X6),X2))), inference(closure_rule, [i_0_9])).
% 0.21/0.39  cnf(i_0_47, plain, (meet(join(X4,meet(X4,X7)),join(X6,meet(X6,X2)))=join(meet(X4,X6),meet(meet(X4,X6),X2))), inference(etableau_closure_rule, [i_0_47, ...])).
% 0.21/0.39  # End printing tableau
% 0.21/0.39  # SZS output end
% 0.21/0.39  # Branches closed with saturation will be marked with an "s"
% 0.21/0.39  # There were 1 total branch saturation attempts.
% 0.21/0.39  # There were 0 of these attempts blocked.
% 0.21/0.39  # There were 0 deferred branch saturation attempts.
% 0.21/0.39  # There were 0 free duplicated saturations.
% 0.21/0.39  # There were 1 total successful branch saturations.
% 0.21/0.39  # There were 0 successful branch saturations in interreduction.
% 0.21/0.39  # There were 0 successful branch saturations on the branch.
% 0.21/0.39  # There were 1 successful branch saturations after the branch.
% 0.21/0.39  # SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.39  # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.39  # Begin clausification derivation
% 0.21/0.39  
% 0.21/0.39  # End clausification derivation
% 0.21/0.39  # Begin listing active clauses obtained from FOF to CNF conversion
% 0.21/0.39  cnf(i_0_9, plain, (join(X1,meet(X1,X2))=X1)).
% 0.21/0.39  cnf(i_0_8, plain, (meet(X1,join(X1,X2))=X1)).
% 0.21/0.39  cnf(i_0_13, plain, (join(join(X1,X2),X3)=join(X1,join(X2,X3)))).
% 0.21/0.39  cnf(i_0_12, plain, (meet(meet(X1,X2),X3)=meet(X1,meet(X2,X3)))).
% 0.21/0.39  cnf(i_0_11, plain, (join(X1,X2)=join(X2,X1))).
% 0.21/0.39  cnf(i_0_10, plain, (meet(X1,X2)=meet(X2,X1))).
% 0.21/0.39  cnf(i_0_14, negated_conjecture, (join(xx,xx)!=xx)).
% 0.21/0.39  cnf(i_0_16, plain, (X4=X4)).
% 0.21/0.39  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 0.21/0.39  # Begin printing tableau
% 0.21/0.39  # Found 6 steps
% 0.21/0.39  cnf(i_0_9, plain, (join(meet(X7,X2),meet(meet(X7,X2),X13))=meet(X7,X2)), inference(start_rule)).
% 0.21/0.39  cnf(i_0_22, plain, (join(meet(X7,X2),meet(meet(X7,X2),X13))=meet(X7,X2)), inference(extension_rule, [i_0_20])).
% 0.21/0.39  cnf(i_0_38, plain, (join(X7,meet(X7,X2))!=X7), inference(closure_rule, [i_0_9])).
% 0.21/0.39  cnf(i_0_37, plain, (join(join(X7,meet(X7,X2)),join(meet(X7,X2),meet(meet(X7,X2),X13)))=join(X7,meet(X7,X2))), inference(extension_rule, [i_0_19])).
% 0.21/0.39  cnf(i_0_49, plain, (join(X7,meet(X7,X2))!=X7), inference(closure_rule, [i_0_9])).
% 0.21/0.39  cnf(i_0_47, plain, (join(join(X7,meet(X7,X2)),join(meet(X7,X2),meet(meet(X7,X2),X13)))=X7), inference(etableau_closure_rule, [i_0_47, ...])).
% 0.21/0.39  # End printing tableau
% 0.21/0.39  # SZS output end
% 0.21/0.39  # Branches closed with saturation will be marked with an "s"
% 0.21/0.39  # There were 1 total branch saturation attempts.
% 0.21/0.39  # There were 0 of these attempts blocked.
% 0.21/0.39  # There were 0 deferred branch saturation attempts.
% 0.21/0.39  # There were 0 free duplicated saturations.
% 0.21/0.39  # There were 1 total successful branch saturations.
% 0.21/0.39  # There were 0 successful branch saturations in interreduction.
% 0.21/0.39  # There were 0 successful branch saturations on the branch.
% 0.21/0.39  # There were 1 successful branch saturations after the branch.
% 0.21/0.39  # SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.39  # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.39  # Begin clausification derivation
% 0.21/0.39  
% 0.21/0.39  # End clausification derivation
% 0.21/0.39  # Begin listing active clauses obtained from FOF to CNF conversion
% 0.21/0.39  cnf(i_0_9, plain, (join(X1,meet(X1,X2))=X1)).
% 0.21/0.39  cnf(i_0_8, plain, (meet(X1,join(X1,X2))=X1)).
% 0.21/0.39  cnf(i_0_13, plain, (join(join(X1,X2),X3)=join(X1,join(X2,X3)))).
% 0.21/0.39  cnf(i_0_12, plain, (meet(meet(X1,X2),X3)=meet(X1,meet(X2,X3)))).
% 0.21/0.39  cnf(i_0_11, plain, (join(X1,X2)=join(X2,X1))).
% 0.21/0.39  cnf(i_0_10, plain, (meet(X1,X2)=meet(X2,X1))).
% 0.21/0.39  cnf(i_0_14, negated_conjecture, (join(xx,xx)!=xx)).
% 0.21/0.39  cnf(i_0_16, plain, (X4=X4)).
% 0.21/0.39  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 0.21/0.39  # Begin printing tableau
% 0.21/0.39  # Found 6 steps
% 0.21/0.39  cnf(i_0_9, plain, (join(xx,meet(xx,xx))=xx), inference(start_rule)).
% 0.21/0.39  cnf(i_0_22, plain, (join(xx,meet(xx,xx))=xx), inference(extension_rule, [i_0_19])).
% 0.21/0.39  cnf(i_0_34, plain, (join(xx,xx)=xx), inference(closure_rule, [i_0_14])).
% 0.21/0.39  cnf(i_0_35, plain, (join(xx,xx)!=join(xx,meet(xx,xx))), inference(extension_rule, [i_0_19])).
% 0.21/0.39  cnf(i_0_49, plain, (xx!=join(xx,meet(xx,xx))), inference(closure_rule, [i_0_9])).
% 0.21/0.39  cnf(i_0_48, plain, (join(xx,xx)!=xx), inference(etableau_closure_rule, [i_0_48, ...])).
% 0.21/0.39  # End printing tableau
% 0.21/0.39  # SZS output end
% 0.21/0.39  # Branches closed with saturation will be marked with an "s"
% 0.21/0.39  # Child (14899) has found a proof.
% 0.21/0.39  
% 0.21/0.39  # Proof search is over...
% 0.21/0.39  # Freeing feature tree
%------------------------------------------------------------------------------