TSTP Solution File: GRP039-5 by Etableau---0.67

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : GRP039-5 : TPTP v8.1.0. Released v1.0.0.
% 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 : n021.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 09:04:07 EDT 2022

% Result   : Unsatisfiable 0.14s 0.39s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : GRP039-5 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.14  % Command  : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.14/0.35  % Computer : n021.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Mon Jun 13 22:30:12 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.14/0.38  # No SInE strategy applied
% 0.14/0.38  # Auto-Mode selected heuristic C07_19_nc_SAT001_MinMin_rr
% 0.14/0.38  # and selection function SelectMaxLComplexAvoidPosPred.
% 0.14/0.38  #
% 0.14/0.38  # Presaturation interreduction done
% 0.14/0.38  # Number of axioms: 14 Number of unprocessed: 14
% 0.14/0.38  # Tableaux proof search.
% 0.14/0.38  # APR header successfully linked.
% 0.14/0.38  # Hello from C++
% 0.14/0.39  # The folding up rule is enabled...
% 0.14/0.39  # Local unification is enabled...
% 0.14/0.39  # Any saturation attempts will use folding labels...
% 0.14/0.39  # 14 beginning clauses after preprocessing and clausification
% 0.14/0.39  # Creating start rules for all 4 conjectures.
% 0.14/0.39  # There are 4 start rule candidates:
% 0.14/0.39  # Found 10 unit axioms.
% 0.14/0.39  # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.14/0.39  # 4 start rule tableaux created.
% 0.14/0.39  # 4 extension rule candidate clauses
% 0.14/0.39  # 10 unit axiom clauses
% 0.14/0.39  
% 0.14/0.39  # Requested 8, 32 cores available to the main process.
% 0.14/0.39  # There are not enough tableaux to fork, creating more from the initial 4
% 0.14/0.39  # There were 1 total branch saturation attempts.
% 0.14/0.39  # There were 0 of these attempts blocked.
% 0.14/0.39  # There were 0 deferred branch saturation attempts.
% 0.14/0.39  # There were 0 free duplicated saturations.
% 0.14/0.39  # There were 1 total successful branch saturations.
% 0.14/0.39  # There were 0 successful branch saturations in interreduction.
% 0.14/0.39  # There were 0 successful branch saturations on the branch.
% 0.14/0.39  # There were 1 successful branch saturations after the branch.
% 0.14/0.39  # SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.39  # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.39  # Begin clausification derivation
% 0.14/0.39  
% 0.14/0.39  # End clausification derivation
% 0.14/0.39  # Begin listing active clauses obtained from FOF to CNF conversion
% 0.14/0.39  cnf(i_0_25, negated_conjecture, (subgroup_member(b))).
% 0.14/0.39  cnf(i_0_27, negated_conjecture, (multiply(a,c)=d)).
% 0.14/0.39  cnf(i_0_26, negated_conjecture, (multiply(b,inverse(a))=c)).
% 0.14/0.39  cnf(i_0_22, plain, (subgroup_member(identity))).
% 0.14/0.39  cnf(i_0_20, plain, (multiply(X1,identity)=X1)).
% 0.14/0.39  cnf(i_0_15, plain, (multiply(identity,X1)=X1)).
% 0.14/0.39  cnf(i_0_21, plain, (multiply(X1,inverse(X1))=identity)).
% 0.14/0.39  cnf(i_0_16, plain, (multiply(inverse(X1),X1)=identity)).
% 0.14/0.39  cnf(i_0_17, plain, (multiply(multiply(X1,X2),X3)=multiply(X1,multiply(X2,X3)))).
% 0.14/0.39  cnf(i_0_28, negated_conjecture, (~subgroup_member(d))).
% 0.14/0.39  cnf(i_0_18, plain, (subgroup_member(inverse(X1))|~subgroup_member(X1))).
% 0.14/0.39  cnf(i_0_19, plain, (subgroup_member(multiply(X1,X2))|~subgroup_member(X2)|~subgroup_member(X1))).
% 0.14/0.39  cnf(i_0_23, plain, (subgroup_member(element_in_O2(X1,X2))|subgroup_member(X1)|subgroup_member(X2))).
% 0.14/0.39  cnf(i_0_24, plain, (multiply(X1,element_in_O2(X1,X2))=X2|subgroup_member(X1)|subgroup_member(X2))).
% 0.14/0.39  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 0.14/0.39  # Begin printing tableau
% 0.14/0.39  # Found 5 steps
% 0.14/0.39  cnf(i_0_25, negated_conjecture, (subgroup_member(b)), inference(start_rule)).
% 0.14/0.39  cnf(i_0_33, plain, (subgroup_member(b)), inference(extension_rule, [i_0_19])).
% 0.14/0.39  cnf(i_0_70, plain, (~subgroup_member(identity)), inference(closure_rule, [i_0_22])).
% 0.14/0.39  cnf(i_0_69, plain, (subgroup_member(multiply(b,identity))), inference(extension_rule, [i_0_18])).
% 0.14/0.39  cnf(i_0_78, plain, (subgroup_member(inverse(multiply(b,identity)))), inference(etableau_closure_rule, [i_0_78, ...])).
% 0.14/0.39  # End printing tableau
% 0.14/0.39  # SZS output end
% 0.14/0.39  # Branches closed with saturation will be marked with an "s"
% 0.14/0.39  # Returning from population with 7 new_tableaux and 0 remaining starting tableaux.
% 0.14/0.39  # We now have 7 tableaux to operate on
% 0.14/0.39  # Found closed tableau during pool population.
% 0.14/0.39  # Proof search is over...
% 0.14/0.39  # Freeing feature tree
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