TSTP Solution File: GRP130-1.005 by Etableau---0.67

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : GRP130-1.005 : TPTP v8.1.0. Released v1.2.0.
% 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 : n024.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 09:04:52 EDT 2022

% Result   : Satisfiable 43.60s 5.94s
% Output   : CNFRefutation 43.60s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : GRP130-1.005 : TPTP v8.1.0. Released v1.2.0.
% 0.12/0.13  % Command  : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.13/0.35  % Computer : n024.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Mon Jun 13 07:24:03 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___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.13/0.38  # and selection function SelectComplexExceptUniqMaxHorn.
% 0.13/0.38  #
% 0.13/0.38  # Presaturation interreduction done
% 0.13/0.38  # Number of axioms: 30 Number of unprocessed: 30
% 0.13/0.38  # Tableaux proof search.
% 0.13/0.38  # APR header successfully linked.
% 0.13/0.38  # Hello from C++
% 0.13/0.38  # The folding up rule is enabled...
% 0.13/0.38  # Local unification is enabled...
% 0.13/0.38  # Any saturation attempts will use folding labels...
% 0.13/0.38  # 30 beginning clauses after preprocessing and clausification
% 0.13/0.38  # Creating start rules for all 1 conjectures.
% 0.13/0.38  # There are 1 start rule candidates:
% 0.13/0.38  # Found 25 unit axioms.
% 0.13/0.38  # 1 start rule tableaux created.
% 0.13/0.38  # 5 extension rule candidate clauses
% 0.13/0.38  # 25 unit axiom clauses
% 0.13/0.38  
% 0.13/0.38  # Requested 8, 32 cores available to the main process.
% 0.13/0.38  # There are not enough tableaux to fork, creating more from the initial 1
% 0.13/0.38  # Returning from population with 11 new_tableaux and 0 remaining starting tableaux.
% 0.13/0.38  # We now have 11 tableaux to operate on
% 43.60/5.93  # 15999 Satisfiable branch
% 43.60/5.94  # Satisfiable branch found.
% 43.60/5.94  # There were 8 total branch saturation attempts.
% 43.60/5.94  # There were 0 of these attempts blocked.
% 43.60/5.94  # There were 0 deferred branch saturation attempts.
% 43.60/5.94  # There were 0 free duplicated saturations.
% 43.60/5.94  # There were 6 total successful branch saturations.
% 43.60/5.94  # There were 0 successful branch saturations in interreduction.
% 43.60/5.94  # There were 0 successful branch saturations on the branch.
% 43.60/5.94  # There were 6 successful branch saturations after the branch.
% 43.60/5.94  # SZS status Satisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 43.60/5.94  # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 43.60/5.94  # Begin clausification derivation
% 43.60/5.94  
% 43.60/5.94  # End clausification derivation
% 43.60/5.94  # Begin listing active clauses obtained from FOF to CNF conversion
% 43.60/5.94  cnf(i_0_31, plain, (group_element(e_1))).
% 43.60/5.94  cnf(i_0_32, plain, (group_element(e_2))).
% 43.60/5.94  cnf(i_0_33, plain, (group_element(e_3))).
% 43.60/5.94  cnf(i_0_34, plain, (group_element(e_4))).
% 43.60/5.94  cnf(i_0_35, plain, (group_element(e_5))).
% 43.60/5.94  cnf(i_0_36, plain, (~equalish(e_1,e_2))).
% 43.60/5.94  cnf(i_0_37, plain, (~equalish(e_1,e_3))).
% 43.60/5.94  cnf(i_0_38, plain, (~equalish(e_1,e_4))).
% 43.60/5.94  cnf(i_0_39, plain, (~equalish(e_1,e_5))).
% 43.60/5.94  cnf(i_0_40, plain, (~equalish(e_2,e_1))).
% 43.60/5.94  cnf(i_0_41, plain, (~equalish(e_2,e_3))).
% 43.60/5.94  cnf(i_0_42, plain, (~equalish(e_2,e_4))).
% 43.60/5.94  cnf(i_0_43, plain, (~equalish(e_2,e_5))).
% 43.60/5.94  cnf(i_0_44, plain, (~equalish(e_3,e_1))).
% 43.60/5.94  cnf(i_0_45, plain, (~equalish(e_3,e_2))).
% 43.60/5.94  cnf(i_0_46, plain, (~equalish(e_3,e_4))).
% 43.60/5.94  cnf(i_0_47, plain, (~equalish(e_3,e_5))).
% 43.60/5.94  cnf(i_0_48, plain, (~equalish(e_4,e_1))).
% 43.60/5.94  cnf(i_0_49, plain, (~equalish(e_4,e_2))).
% 43.60/5.94  cnf(i_0_50, plain, (~equalish(e_4,e_3))).
% 43.60/5.94  cnf(i_0_51, plain, (~equalish(e_4,e_5))).
% 43.60/5.94  cnf(i_0_52, plain, (~equalish(e_5,e_1))).
% 43.60/5.94  cnf(i_0_53, plain, (~equalish(e_5,e_2))).
% 43.60/5.94  cnf(i_0_54, plain, (~equalish(e_5,e_3))).
% 43.60/5.94  cnf(i_0_55, plain, (~equalish(e_5,e_4))).
% 43.60/5.94  cnf(i_0_57, plain, (equalish(X1,X2)|~product(X3,X4,X2)|~product(X3,X4,X1))).
% 43.60/5.94  cnf(i_0_58, plain, (equalish(X1,X2)|~product(X3,X2,X4)|~product(X3,X1,X4))).
% 43.60/5.94  cnf(i_0_59, plain, (equalish(X1,X2)|~product(X2,X3,X4)|~product(X1,X3,X4))).
% 43.60/5.94  cnf(i_0_60, negated_conjecture, (product(X1,X2,X3)|~product(X3,X4,X1)|~product(X3,X2,X4))).
% 43.60/5.94  cnf(i_0_56, plain, (product(X1,X2,e_5)|product(X1,X2,e_4)|product(X1,X2,e_3)|product(X1,X2,e_2)|product(X1,X2,e_1)|~group_element(X2)|~group_element(X1))).
% 43.60/5.94  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 43.60/5.94  # Begin printing tableau
% 43.60/5.94  # Found 41 steps
% 43.60/5.94  cnf(i_0_60, negated_conjecture, (product(e_5,e_2,e_1)|~product(e_1,e_1,e_5)|~product(e_1,e_2,e_1)), inference(start_rule)).
% 43.60/5.94  cnf(i_0_62, plain, (~product(e_1,e_1,e_5)), inference(extension_rule, [i_0_56])).
% 43.60/5.94  cnf(i_0_97, plain, (~group_element(e_1)), inference(closure_rule, [i_0_31])).
% 43.60/5.94  cnf(i_0_98, plain, (~group_element(e_1)), inference(closure_rule, [i_0_31])).
% 43.60/5.94  cnf(i_0_93, plain, (product(e_1,e_1,e_4)), inference(extension_rule, [i_0_57])).
% 43.60/5.94  cnf(i_0_102, plain, (equalish(e_1,e_4)), inference(closure_rule, [i_0_38])).
% 43.60/5.94  cnf(i_0_104, plain, (~product(e_1,e_1,e_1)), inference(extension_rule, [i_0_60])).
% 43.60/5.94  cnf(i_0_120, plain, (~product(e_1,e_1,e_4)), inference(closure_rule, [i_0_93])).
% 43.60/5.94  cnf(i_0_94, plain, (product(e_1,e_1,e_3)), inference(extension_rule, [i_0_58])).
% 43.60/5.94  cnf(i_0_121, plain, (equalish(e_2,e_1)), inference(closure_rule, [i_0_40])).
% 43.60/5.94  cnf(i_0_123, plain, (~product(e_1,e_2,e_3)), inference(extension_rule, [i_0_56])).
% 43.60/5.94  cnf(i_0_132, plain, (~group_element(e_2)), inference(closure_rule, [i_0_32])).
% 43.60/5.94  cnf(i_0_133, plain, (~group_element(e_1)), inference(closure_rule, [i_0_31])).
% 43.60/5.94  cnf(i_0_95, plain, (product(e_1,e_1,e_2)), inference(extension_rule, [i_0_59])).
% 43.60/5.94  cnf(i_0_134, plain, (equalish(e_2,e_1)), inference(closure_rule, [i_0_40])).
% 43.60/5.94  cnf(i_0_136, plain, (~product(e_2,e_1,e_2)), inference(extension_rule, [i_0_60])).
% 43.60/5.94  cnf(i_0_96, plain, (product(e_1,e_1,e_1)), inference(extension_rule, [i_0_57])).
% 43.60/5.94  cnf(i_0_143, plain, (equalish(e_2,e_1)), inference(closure_rule, [i_0_40])).
% 43.60/5.94  cnf(i_0_145, plain, (~product(e_1,e_1,e_2)), inference(extension_rule, [i_0_60])).
% 43.60/5.94  cnf(i_0_61, plain, (product(e_5,e_2,e_1)), inference(extension_rule, [i_0_58])).
% 43.60/5.94  cnf(i_0_162, plain, (equalish(e_1,e_2)), inference(closure_rule, [i_0_36])).
% 43.60/5.94  cnf(i_0_164, plain, (~product(e_5,e_1,e_1)), inference(extension_rule, [i_0_56])).
% 43.60/5.94  cnf(i_0_206273, plain, (~group_element(e_1)), inference(closure_rule, [i_0_31])).
% 43.60/5.94  cnf(i_0_206274, plain, (~group_element(e_5)), inference(closure_rule, [i_0_35])).
% 43.60/5.94  cnf(i_0_206268, plain, (product(e_5,e_1,e_5)), inference(extension_rule, [i_0_59])).
% 43.60/5.94  cnf(i_0_206275, plain, (equalish(e_1,e_5)), inference(closure_rule, [i_0_39])).
% 43.60/5.94  cnf(i_0_206269, plain, (product(e_5,e_1,e_4)), inference(extension_rule, [i_0_57])).
% 43.60/5.94  cnf(i_0_206280, plain, (~product(e_5,e_1,e_4)), inference(closure_rule, [i_0_206269])).
% 43.60/5.94  cnf(i_0_206270, plain, (product(e_5,e_1,e_3)), inference(extension_rule, [i_0_60])).
% 43.60/5.94  cnf(i_0_206283, plain, (~product(e_5,e_2,e_1)), inference(closure_rule, [i_0_61])).
% 43.60/5.94  cnf(i_0_206271, plain, (product(e_5,e_1,e_2)), inference(extension_rule, [i_0_58])).
% 43.60/5.94  cnf(i_0_206284, plain, (equalish(e_2,e_1)), inference(closure_rule, [i_0_40])).
% 43.60/5.94  cnf(i_0_63, plain, (~product(e_1,e_2,e_1)), inference(extension_rule, [i_0_56])).
% 43.60/5.94  cnf(i_0_206292, plain, (~group_element(e_2)), inference(closure_rule, [i_0_32])).
% 43.60/5.94  cnf(i_0_206293, plain, (~group_element(e_1)), inference(closure_rule, [i_0_31])).
% 43.60/5.94  cnf(i_0_119, plain, (~product(e_1,e_4,e_1)), inference(etableau_closure_rule, [i_0_119, ...])).
% 43.60/5.94  cnf(i_0_127, plain, (product(e_1,e_2,e_5)), inference(etableau_closure_rule, [i_0_127, ...])).
% 43.60/5.94  cnf(i_0_128, plain, (product(e_1,e_2,e_4)), inference(etableau_closure_rule, [i_0_128, ...])).
% 43.60/5.94  cnf(i_0_130, plain, (product(e_1,e_2,e_2)), inference(etableau_closure_rule, [i_0_130, ...])).
% 43.60/5.94  cnf(i_0_131, plain, (product(e_1,e_2,e_1)), inference(etableau_closure_rule, [i_0_131, ...])).
% 43.60/5.94  cnf(i_0_206277, plain, (~product(e_1,e_1,e_5)), inference(etableau_closure_rule, [i_0_206277, ...])).
% 43.60/5.94  # End printing tableau
% 43.60/5.94  # SZS output end
% 43.60/5.94  # Branches closed with saturation will be marked with an "s"
% 43.60/5.95  # Child (15999) has found a proof.
% 43.60/5.95  
% 43.60/5.95  # Proof search is over...
% 43.60/5.95  # Freeing feature tree
%------------------------------------------------------------------------------