TSTP Solution File: GRP039-6 by Etableau---0.67

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : GRP039-6 : 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 : n027.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 0.07s 0.36s
% Output   : CNFRefutation 0.07s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.09  % Problem  : GRP039-6 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.09  % Command  : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.07/0.31  % Computer : n027.cluster.edu
% 0.07/0.31  % Model    : x86_64 x86_64
% 0.07/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.31  % Memory   : 8042.1875MB
% 0.07/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.31  % CPULimit : 300
% 0.07/0.31  % WCLimit  : 600
% 0.07/0.31  % DateTime : Tue Jun 14 08:05:18 EDT 2022
% 0.07/0.32  % CPUTime  : 
% 0.07/0.33  # No SInE strategy applied
% 0.07/0.33  # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.07/0.33  # and selection function SelectComplexExceptUniqMaxHorn.
% 0.07/0.33  #
% 0.07/0.33  # Presaturation interreduction done
% 0.07/0.33  # Number of axioms: 22 Number of unprocessed: 22
% 0.07/0.33  # Tableaux proof search.
% 0.07/0.33  # APR header successfully linked.
% 0.07/0.33  # Hello from C++
% 0.07/0.33  # The folding up rule is enabled...
% 0.07/0.33  # Local unification is enabled...
% 0.07/0.33  # Any saturation attempts will use folding labels...
% 0.07/0.33  # 22 beginning clauses after preprocessing and clausification
% 0.07/0.33  # Creating start rules for all 4 conjectures.
% 0.07/0.33  # There are 4 start rule candidates:
% 0.07/0.33  # Found 9 unit axioms.
% 0.07/0.33  # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.07/0.33  # 4 start rule tableaux created.
% 0.07/0.33  # 13 extension rule candidate clauses
% 0.07/0.33  # 9 unit axiom clauses
% 0.07/0.33  
% 0.07/0.33  # Requested 8, 32 cores available to the main process.
% 0.07/0.33  # There are not enough tableaux to fork, creating more from the initial 4
% 0.07/0.33  # Returning from population with 22 new_tableaux and 0 remaining starting tableaux.
% 0.07/0.33  # We now have 22 tableaux to operate on
% 0.07/0.36  # There were 3 total branch saturation attempts.
% 0.07/0.36  # There were 0 of these attempts blocked.
% 0.07/0.36  # There were 0 deferred branch saturation attempts.
% 0.07/0.36  # There were 0 free duplicated saturations.
% 0.07/0.36  # There were 3 total successful branch saturations.
% 0.07/0.36  # There were 0 successful branch saturations in interreduction.
% 0.07/0.36  # There were 0 successful branch saturations on the branch.
% 0.07/0.36  # There were 3 successful branch saturations after the branch.
% 0.07/0.36  # SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.36  # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.36  # Begin clausification derivation
% 0.07/0.36  
% 0.07/0.36  # End clausification derivation
% 0.07/0.36  # Begin listing active clauses obtained from FOF to CNF conversion
% 0.07/0.36  cnf(i_0_41, negated_conjecture, (subgroup_member(b))).
% 0.07/0.36  cnf(i_0_43, negated_conjecture, (product(a,c,d))).
% 0.07/0.36  cnf(i_0_42, negated_conjecture, (product(b,inverse(a),c))).
% 0.07/0.36  cnf(i_0_36, plain, (subgroup_member(identity))).
% 0.07/0.36  cnf(i_0_30, plain, (product(X1,identity,X1))).
% 0.07/0.36  cnf(i_0_29, plain, (product(identity,X1,X1))).
% 0.07/0.36  cnf(i_0_32, plain, (product(X1,inverse(X1),identity))).
% 0.07/0.36  cnf(i_0_31, plain, (product(inverse(X1),X1,identity))).
% 0.07/0.36  cnf(i_0_44, negated_conjecture, (~subgroup_member(d))).
% 0.07/0.36  cnf(i_0_27, plain, (subgroup_member(inverse(X1))|~subgroup_member(X1))).
% 0.07/0.36  cnf(i_0_23, plain, (subgroup_member(X1)|~subgroup_member(X2)|~equalish(X2,X1))).
% 0.07/0.36  cnf(i_0_28, plain, (subgroup_member(X1)|~product(X2,X3,X1)|~subgroup_member(X3)|~subgroup_member(X2))).
% 0.07/0.36  cnf(i_0_39, plain, (subgroup_member(element_in_O2(X1,X2))|subgroup_member(X1)|subgroup_member(X2))).
% 0.07/0.36  cnf(i_0_40, plain, (product(X1,element_in_O2(X1,X2),X2)|subgroup_member(X1)|subgroup_member(X2))).
% 0.07/0.36  cnf(i_0_37, plain, (equalish(X1,X2)|~product(X3,X1,X4)|~product(X3,X2,X4))).
% 0.07/0.36  cnf(i_0_38, plain, (equalish(X1,X2)|~product(X1,X3,X4)|~product(X2,X3,X4))).
% 0.07/0.36  cnf(i_0_25, plain, (equalish(element_in_O2(X1,X2),element_in_O2(X1,X3))|~equalish(X2,X3))).
% 0.07/0.36  cnf(i_0_26, plain, (equalish(element_in_O2(X1,X2),element_in_O2(X3,X2))|~equalish(X1,X3))).
% 0.07/0.36  cnf(i_0_35, plain, (equalish(X1,X2)|~product(X3,X4,X2)|~product(X3,X4,X1))).
% 0.07/0.36  cnf(i_0_24, plain, (product(X1,X2,X3)|~product(X1,X2,X4)|~equalish(X4,X3))).
% 0.07/0.36  cnf(i_0_34, plain, (product(X1,X2,X3)|~product(X4,X2,X5)|~product(X6,X5,X3)|~product(X6,X4,X1))).
% 0.07/0.36  cnf(i_0_33, plain, (product(X1,X2,X3)|~product(X4,X5,X3)|~product(X6,X5,X2)|~product(X1,X6,X4))).
% 0.07/0.36  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 0.07/0.36  # Begin printing tableau
% 0.07/0.36  # Found 8 steps
% 0.07/0.36  cnf(i_0_42, negated_conjecture, (product(b,inverse(a),c)), inference(start_rule)).
% 0.07/0.36  cnf(i_0_46, plain, (product(b,inverse(a),c)), inference(extension_rule, [i_0_33])).
% 0.07/0.36  cnf(i_0_124, plain, (~product(identity,inverse(a),inverse(a))), inference(closure_rule, [i_0_29])).
% 0.07/0.36  cnf(i_0_126, plain, (~product(inverse(b),b,identity)), inference(closure_rule, [i_0_31])).
% 0.07/0.36  cnf(i_0_123, plain, (product(inverse(b),c,inverse(a))), inference(extension_rule, [i_0_28])).
% 0.07/0.36  cnf(i_0_132, plain, (subgroup_member(inverse(a))), inference(etableau_closure_rule, [i_0_132, ...])).
% 0.07/0.36  cnf(i_0_134, plain, (~subgroup_member(c)), inference(etableau_closure_rule, [i_0_134, ...])).
% 0.07/0.36  cnf(i_0_135, plain, (~subgroup_member(inverse(b))), inference(etableau_closure_rule, [i_0_135, ...])).
% 0.07/0.36  # End printing tableau
% 0.07/0.36  # SZS output end
% 0.07/0.36  # Branches closed with saturation will be marked with an "s"
% 0.07/0.36  # Child (32026) has found a proof.
% 0.07/0.36  
% 0.07/0.36  # Proof search is over...
% 0.07/0.36  # Freeing feature tree
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