TSTP Solution File: GRP398-3 by Etableau---0.67

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : GRP398-3 : TPTP v8.1.0. Released 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 : 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 : Sat Jul 16 09:06:18 EDT 2022

% Result   : Satisfiable 0.13s 0.38s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : GRP398-3 : TPTP v8.1.0. Released v2.5.0.
% 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 : n004.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 : Tue Jun 14 11:03:09 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.13/0.37  # No SInE strategy applied
% 0.13/0.37  # Auto-Mode selected heuristic G_E___107_B00_00_F1_PI_AE_Q4_CS_SP_PS_S071I
% 0.13/0.37  # and selection function SelectCQArEqLast.
% 0.13/0.37  #
% 0.13/0.37  # Presaturation interreduction done
% 0.13/0.37  # Number of axioms: 5 Number of unprocessed: 5
% 0.13/0.37  # Tableaux proof search.
% 0.13/0.37  # APR header successfully linked.
% 0.13/0.37  # Hello from C++
% 0.13/0.37  # The folding up rule is enabled...
% 0.13/0.37  # Local unification is enabled...
% 0.13/0.37  # Any saturation attempts will use folding labels...
% 0.13/0.37  # 5 beginning clauses after preprocessing and clausification
% 0.13/0.37  # No conjectures after preprocessing.  Attempting to resurrect them from ax_archive.
% 0.13/0.37  # No conjectures.
% 0.13/0.37  # There are 5 start rule candidates:
% 0.13/0.37  # Found 3 unit axioms.
% 0.13/0.37  # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.13/0.37  # 5 start rule tableaux created.
% 0.13/0.37  # 2 extension rule candidate clauses
% 0.13/0.37  # 3 unit axiom clauses
% 0.13/0.37  
% 0.13/0.37  # Requested 8, 32 cores available to the main process.
% 0.13/0.37  # There are not enough tableaux to fork, creating more from the initial 5
% 0.13/0.37  # Returning from population with 8 new_tableaux and 0 remaining starting tableaux.
% 0.13/0.37  # We now have 8 tableaux to operate on
% 0.13/0.38  # Creating equality axioms
% 0.13/0.38  # Ran out of tableaux, making start rules for all clauses
% 0.13/0.38  # 22469 Satisfiable branch
% 0.13/0.38  # Creating equality axioms
% 0.13/0.38  # Ran out of tableaux, making start rules for all clauses
% 0.13/0.38  # 22472 Satisfiable branch
% 0.13/0.38  # Satisfiable branch found.
% 0.13/0.38  # There were 1 total branch saturation attempts.
% 0.13/0.38  # There were 0 of these attempts blocked.
% 0.13/0.38  # There were 0 deferred branch saturation attempts.
% 0.13/0.38  # There were 0 free duplicated saturations.
% 0.13/0.38  # There were 0 total successful branch saturations.
% 0.13/0.38  # There were 0 successful branch saturations in interreduction.
% 0.13/0.38  # There were 0 successful branch saturations on the branch.
% 0.13/0.38  # There were 0 successful branch saturations after the branch.
% 0.13/0.38  # SZS status Satisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.38  # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.38  # Begin clausification derivation
% 0.13/0.38  
% 0.13/0.38  # End clausification derivation
% 0.13/0.38  # Begin listing active clauses obtained from FOF to CNF conversion
% 0.13/0.38  cnf(i_0_6, plain, (multiply(identity,X1)=X1)).
% 0.13/0.38  cnf(i_0_7, plain, (multiply(inverse(X1),X1)=identity)).
% 0.13/0.38  cnf(i_0_8, plain, (multiply(multiply(X1,X2),X3)=multiply(X1,multiply(X2,X3)))).
% 0.13/0.38  cnf(i_0_9, plain, (subgroup_member(inverse(X1))|~subgroup_member(X1))).
% 0.13/0.38  cnf(i_0_10, plain, (subgroup_member(X1)|multiply(X2,X3)!=X1|~subgroup_member(X3)|~subgroup_member(X2))).
% 0.13/0.38  cnf(i_0_208, plain, (X4=X4)).
% 0.13/0.38  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 0.13/0.38  # Begin printing tableau
% 0.13/0.38  # Found 5 steps
% 0.13/0.38  cnf(i_0_208, plain, (identity=identity), inference(start_rule)).
% 0.13/0.38  cnf(i_0_224, plain, (identity=identity), inference(extension_rule, [i_0_212])).
% 0.13/0.38  cnf(i_0_661, plain, (multiply(identity,X7)!=X7), inference(closure_rule, [i_0_6])).
% 0.13/0.38  cnf(i_0_659, plain, (multiply(identity,multiply(identity,X7))=multiply(identity,X7)), inference(extension_rule, [i_0_211])).
% 0.13/0.38  cnf(i_0_668, plain, (multiply(identity,X7)!=X7), inference(closure_rule, [i_0_6])).
% 0.13/0.38  # End printing tableau
% 0.13/0.38  # SZS output end
% 0.13/0.38  # Branches closed with saturation will be marked with an "s"
% 0.13/0.38  # Creating equality axioms
% 0.13/0.38  # Ran out of tableaux, making start rules for all clauses
% 0.13/0.38  # 22475 Satisfiable branch
% 0.13/0.38  # Creating equality axioms
% 0.13/0.38  # Ran out of tableaux, making start rules for all clauses
% 0.13/0.38  # 22474 Satisfiable branch
% 0.13/0.38  # Satisfiable branch found.
% 0.13/0.38  # There were 1 total branch saturation attempts.
% 0.13/0.38  # There were 0 of these attempts blocked.
% 0.13/0.38  # There were 0 deferred branch saturation attempts.
% 0.13/0.38  # There were 0 free duplicated saturations.
% 0.13/0.38  # There were 0 total successful branch saturations.
% 0.13/0.38  # There were 0 successful branch saturations in interreduction.
% 0.13/0.38  # There were 0 successful branch saturations on the branch.
% 0.13/0.38  # There were 0 successful branch saturations after the branch.
% 0.13/0.38  # SZS status Satisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.38  # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.38  # Begin clausification derivation
% 0.13/0.38  
% 0.13/0.38  # End clausification derivation
% 0.13/0.38  # Begin listing active clauses obtained from FOF to CNF conversion
% 0.13/0.38  cnf(i_0_6, plain, (multiply(identity,X1)=X1)).
% 0.13/0.38  cnf(i_0_7, plain, (multiply(inverse(X1),X1)=identity)).
% 0.13/0.38  cnf(i_0_8, plain, (multiply(multiply(X1,X2),X3)=multiply(X1,multiply(X2,X3)))).
% 0.13/0.38  cnf(i_0_9, plain, (subgroup_member(inverse(X1))|~subgroup_member(X1))).
% 0.13/0.38  cnf(i_0_10, plain, (subgroup_member(X1)|multiply(X2,X3)!=X1|~subgroup_member(X3)|~subgroup_member(X2))).
% 0.13/0.38  cnf(i_0_62, plain, (X4=X4)).
% 0.13/0.38  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 0.13/0.38  # Begin printing tableau
% 0.13/0.38  # Found 5 steps
% 0.13/0.38  cnf(i_0_62, plain, (identity=identity), inference(start_rule)).
% 0.13/0.38  cnf(i_0_78, plain, (identity=identity), inference(extension_rule, [i_0_66])).
% 0.13/0.38  cnf(i_0_517, plain, (multiply(identity,X7)!=X7), inference(closure_rule, [i_0_6])).
% 0.13/0.38  cnf(i_0_515, plain, (multiply(identity,multiply(identity,X7))=multiply(identity,X7)), inference(extension_rule, [i_0_65])).
% 0.13/0.38  cnf(i_0_524, plain, (multiply(identity,X7)!=X7), inference(closure_rule, [i_0_6])).
% 0.13/0.38  # End printing tableau
% 0.13/0.38  # SZS output end
% 0.13/0.38  # Branches closed with saturation will be marked with an "s"
% 0.13/0.38  # Satisfiable branch found.
% 0.13/0.38  # There were 1 total branch saturation attempts.
% 0.13/0.38  # There were 0 of these attempts blocked.
% 0.13/0.38  # There were 0 deferred branch saturation attempts.
% 0.13/0.38  # There were 0 free duplicated saturations.
% 0.13/0.38  # There were 0 total successful branch saturations.
% 0.13/0.38  # There were 0 successful branch saturations in interreduction.
% 0.13/0.38  # There were 0 successful branch saturations on the branch.
% 0.13/0.38  # There were 0 successful branch saturations after the branch.
% 0.13/0.38  # Satisfiable branch found.
% 0.13/0.38  # There were 1 total branch saturation attempts.
% 0.13/0.38  # There were 0 of these attempts blocked.
% 0.13/0.38  # There were 0 deferred branch saturation attempts.
% 0.13/0.38  # There were 0 free duplicated saturations.
% 0.13/0.38  # There were 0 total successful branch saturations.
% 0.13/0.38  # There were 0 successful branch saturations in interreduction.
% 0.13/0.38  # There were 0 successful branch saturations on the branch.
% 0.13/0.38  # There were 0 successful branch saturations after the branch.
% 0.13/0.38  # SZS status Satisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.38  # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.38  # Begin clausification derivation
% 0.13/0.38  
% 0.13/0.38  # End clausification derivation
% 0.13/0.38  # Begin listing active clauses obtained from FOF to CNF conversion
% 0.13/0.38  cnf(i_0_6, plain, (multiply(identity,X1)=X1)).
% 0.13/0.38  cnf(i_0_7, plain, (multiply(inverse(X1),X1)=identity)).
% 0.13/0.38  cnf(i_0_8, plain, (multiply(multiply(X1,X2),X3)=multiply(X1,multiply(X2,X3)))).
% 0.13/0.38  cnf(i_0_9, plain, (subgroup_member(inverse(X1))|~subgroup_member(X1))).
% 0.13/0.38  cnf(i_0_10, plain, (subgroup_member(X1)|multiply(X2,X3)!=X1|~subgroup_member(X3)|~subgroup_member(X2))).
% 0.13/0.38  cnf(i_0_166, plain, (X4=X4)).
% 0.13/0.38  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 0.13/0.38  # Begin printing tableau
% 0.13/0.38  # Found 5 steps
% 0.13/0.38  cnf(i_0_166, plain, (identity=identity), inference(start_rule)).
% 0.13/0.38  cnf(i_0_182, plain, (identity=identity), inference(extension_rule, [i_0_170])).
% 0.13/0.38  cnf(i_0_619, plain, (multiply(identity,X7)!=X7), inference(closure_rule, [i_0_6])).
% 0.13/0.38  cnf(i_0_617, plain, (multiply(identity,multiply(identity,X7))=multiply(identity,X7)), inference(extension_rule, [i_0_169])).
% 0.13/0.38  cnf(i_0_626, plain, (multiply(identity,X7)!=X7), inference(closure_rule, [i_0_6])).
% 0.13/0.38  # End printing tableau
% 0.13/0.38  # SZS output end
% 0.13/0.38  # Branches closed with saturation will be marked with an "s"
% 0.13/0.38  # SZS status Satisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.38  # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.38  # Begin clausification derivation
% 0.13/0.38  
% 0.13/0.38  # End clausification derivation
% 0.13/0.38  # Begin listing active clauses obtained from FOF to CNF conversion
% 0.13/0.38  cnf(i_0_6, plain, (multiply(identity,X1)=X1)).
% 0.13/0.38  cnf(i_0_7, plain, (multiply(inverse(X1),X1)=identity)).
% 0.13/0.38  cnf(i_0_8, plain, (multiply(multiply(X1,X2),X3)=multiply(X1,multiply(X2,X3)))).
% 0.13/0.38  cnf(i_0_9, plain, (subgroup_member(inverse(X1))|~subgroup_member(X1))).
% 0.13/0.38  cnf(i_0_10, plain, (subgroup_member(X1)|multiply(X2,X3)!=X1|~subgroup_member(X3)|~subgroup_member(X2))).
% 0.13/0.38  cnf(i_0_166, plain, (X4=X4)).
% 0.13/0.38  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 0.13/0.38  # Begin printing tableau
% 0.13/0.38  # Found 5 steps
% 0.13/0.38  cnf(i_0_166, plain, (identity=identity), inference(start_rule)).
% 0.13/0.38  cnf(i_0_182, plain, (identity=identity), inference(extension_rule, [i_0_170])).
% 0.13/0.38  cnf(i_0_619, plain, (multiply(identity,X7)!=X7), inference(closure_rule, [i_0_6])).
% 0.13/0.38  cnf(i_0_617, plain, (multiply(identity,multiply(identity,X7))=multiply(identity,X7)), inference(extension_rule, [i_0_169])).
% 0.13/0.38  cnf(i_0_626, plain, (multiply(identity,X7)!=X7), inference(closure_rule, [i_0_6])).
% 0.13/0.38  # End printing tableau
% 0.13/0.38  # SZS output end
% 0.13/0.38  # Branches closed with saturation will be marked with an "s"
% 0.13/0.38  # Child (22469) has found a proof.
% 0.13/0.38  
% 0.13/0.38  # Proof search is over...
% 0.13/0.38  # Freeing feature tree
%------------------------------------------------------------------------------