TSTP Solution File: GRP130-2.005 by Etableau---0.67

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : GRP130-2.005 : 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 : n009.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 09:04:53 EDT 2022

% Result   : Satisfiable 7.93s 1.35s
% Output   : CNFRefutation 7.93s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GRP130-2.005 : TPTP v8.1.0. Released v1.2.0.
% 0.07/0.13  % Command  : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.14/0.34  % Computer : n009.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Tue Jun 14 11:56:23 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.14/0.37  # No SInE strategy applied
% 0.14/0.37  # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S4b
% 0.14/0.37  # and selection function SelectCQIPrecW.
% 0.14/0.37  #
% 0.14/0.37  # Presaturation interreduction done
% 0.14/0.37  # Number of axioms: 45 Number of unprocessed: 45
% 0.14/0.37  # Tableaux proof search.
% 0.14/0.37  # APR header successfully linked.
% 0.14/0.37  # Hello from C++
% 0.14/0.37  # The folding up rule is enabled...
% 0.14/0.37  # Local unification is enabled...
% 0.14/0.37  # Any saturation attempts will use folding labels...
% 0.14/0.37  # 45 beginning clauses after preprocessing and clausification
% 0.14/0.37  # Creating start rules for all 1 conjectures.
% 0.14/0.37  # There are 1 start rule candidates:
% 0.14/0.37  # Found 39 unit axioms.
% 0.14/0.37  # 1 start rule tableaux created.
% 0.14/0.37  # 6 extension rule candidate clauses
% 0.14/0.37  # 39 unit axiom clauses
% 0.14/0.37  
% 0.14/0.37  # Requested 8, 32 cores available to the main process.
% 0.14/0.37  # There are not enough tableaux to fork, creating more from the initial 1
% 0.14/0.37  # Returning from population with 12 new_tableaux and 0 remaining starting tableaux.
% 0.14/0.37  # We now have 12 tableaux to operate on
% 7.33/1.35  # 7322 Satisfiable branch
% 7.93/1.35  # Satisfiable branch found.
% 7.93/1.35  # There were 12 total branch saturation attempts.
% 7.93/1.35  # There were 0 of these attempts blocked.
% 7.93/1.35  # There were 0 deferred branch saturation attempts.
% 7.93/1.35  # There were 0 free duplicated saturations.
% 7.93/1.35  # There were 11 total successful branch saturations.
% 7.93/1.35  # There were 0 successful branch saturations in interreduction.
% 7.93/1.35  # There were 0 successful branch saturations on the branch.
% 7.93/1.35  # There were 11 successful branch saturations after the branch.
% 7.93/1.35  # SZS status Satisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.93/1.35  # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.93/1.35  # Begin clausification derivation
% 7.93/1.35  
% 7.93/1.35  # End clausification derivation
% 7.93/1.35  # Begin listing active clauses obtained from FOF to CNF conversion
% 7.93/1.35  cnf(i_0_61, plain, (group_element(e_1))).
% 7.93/1.35  cnf(i_0_62, plain, (group_element(e_2))).
% 7.93/1.35  cnf(i_0_63, plain, (group_element(e_3))).
% 7.93/1.35  cnf(i_0_64, plain, (group_element(e_4))).
% 7.93/1.35  cnf(i_0_65, plain, (group_element(e_5))).
% 7.93/1.35  cnf(i_0_46, plain, (next(e_1,e_2))).
% 7.93/1.35  cnf(i_0_47, plain, (next(e_2,e_3))).
% 7.93/1.35  cnf(i_0_48, plain, (next(e_3,e_4))).
% 7.93/1.35  cnf(i_0_49, plain, (next(e_4,e_5))).
% 7.93/1.35  cnf(i_0_50, plain, (greater(e_2,e_1))).
% 7.93/1.35  cnf(i_0_51, plain, (greater(e_3,e_1))).
% 7.93/1.35  cnf(i_0_54, plain, (greater(e_3,e_2))).
% 7.93/1.35  cnf(i_0_52, plain, (greater(e_4,e_1))).
% 7.93/1.35  cnf(i_0_55, plain, (greater(e_4,e_2))).
% 7.93/1.35  cnf(i_0_57, plain, (greater(e_4,e_3))).
% 7.93/1.35  cnf(i_0_53, plain, (greater(e_5,e_1))).
% 7.93/1.35  cnf(i_0_56, plain, (greater(e_5,e_2))).
% 7.93/1.35  cnf(i_0_58, plain, (greater(e_5,e_3))).
% 7.93/1.35  cnf(i_0_59, plain, (greater(e_5,e_4))).
% 7.93/1.35  cnf(i_0_66, plain, (~equalish(e_1,e_2))).
% 7.93/1.35  cnf(i_0_67, plain, (~equalish(e_1,e_3))).
% 7.93/1.35  cnf(i_0_68, plain, (~equalish(e_1,e_4))).
% 7.93/1.35  cnf(i_0_69, plain, (~equalish(e_1,e_5))).
% 7.93/1.35  cnf(i_0_70, plain, (~equalish(e_2,e_1))).
% 7.93/1.35  cnf(i_0_71, plain, (~equalish(e_2,e_3))).
% 7.93/1.35  cnf(i_0_72, plain, (~equalish(e_2,e_4))).
% 7.93/1.35  cnf(i_0_73, plain, (~equalish(e_2,e_5))).
% 7.93/1.35  cnf(i_0_74, plain, (~equalish(e_3,e_1))).
% 7.93/1.35  cnf(i_0_75, plain, (~equalish(e_3,e_2))).
% 7.93/1.35  cnf(i_0_76, plain, (~equalish(e_3,e_4))).
% 7.93/1.35  cnf(i_0_77, plain, (~equalish(e_3,e_5))).
% 7.93/1.35  cnf(i_0_78, plain, (~equalish(e_4,e_1))).
% 7.93/1.35  cnf(i_0_79, plain, (~equalish(e_4,e_2))).
% 7.93/1.35  cnf(i_0_80, plain, (~equalish(e_4,e_3))).
% 7.93/1.35  cnf(i_0_81, plain, (~equalish(e_4,e_5))).
% 7.93/1.35  cnf(i_0_82, plain, (~equalish(e_5,e_1))).
% 7.93/1.35  cnf(i_0_83, plain, (~equalish(e_5,e_2))).
% 7.93/1.35  cnf(i_0_84, plain, (~equalish(e_5,e_3))).
% 7.93/1.35  cnf(i_0_85, plain, (~equalish(e_5,e_4))).
% 7.93/1.35  cnf(i_0_87, plain, (equalish(X1,X2)|~product(X3,X4,X2)|~product(X3,X4,X1))).
% 7.93/1.35  cnf(i_0_60, plain, (~product(X1,e_1,X2)|~greater(X2,X3)|~next(X1,X3))).
% 7.93/1.35  cnf(i_0_88, plain, (equalish(X1,X2)|~product(X3,X2,X4)|~product(X3,X1,X4))).
% 7.93/1.35  cnf(i_0_89, plain, (equalish(X1,X2)|~product(X2,X3,X4)|~product(X1,X3,X4))).
% 7.93/1.35  cnf(i_0_90, negated_conjecture, (product(X1,X2,X3)|~product(X3,X4,X1)|~product(X3,X2,X4))).
% 7.93/1.35  cnf(i_0_86, 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))).
% 7.93/1.35  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 7.93/1.35  # Begin printing tableau
% 7.93/1.35  # Found 40 steps
% 7.93/1.35  cnf(i_0_90, negated_conjecture, (product(e_1,e_1,e_1)|~product(e_1,e_1,e_1)|~product(e_1,e_1,e_1)), inference(start_rule)).
% 7.93/1.35  cnf(i_0_92, plain, (~product(e_1,e_1,e_1)), inference(extension_rule, [i_0_86])).
% 7.93/1.35  cnf(i_0_133, plain, (~group_element(e_1)), inference(closure_rule, [i_0_61])).
% 7.93/1.35  cnf(i_0_134, plain, (~group_element(e_1)), inference(closure_rule, [i_0_61])).
% 7.93/1.35  cnf(i_0_130, plain, (product(e_1,e_1,e_3)), inference(extension_rule, [i_0_88])).
% 7.93/1.35  cnf(i_0_232, plain, (equalish(e_2,e_1)), inference(closure_rule, [i_0_70])).
% 7.93/1.35  cnf(i_0_234, plain, (~product(e_1,e_2,e_3)), inference(extension_rule, [i_0_86])).
% 7.93/1.35  cnf(i_0_243, plain, (~group_element(e_2)), inference(closure_rule, [i_0_62])).
% 7.93/1.35  cnf(i_0_244, plain, (~group_element(e_1)), inference(closure_rule, [i_0_61])).
% 7.93/1.35  cnf(i_0_131, plain, (product(e_1,e_1,e_2)), inference(extension_rule, [i_0_89])).
% 7.93/1.35  cnf(i_0_245, plain, (equalish(e_2,e_1)), inference(closure_rule, [i_0_70])).
% 7.93/1.35  cnf(i_0_247, plain, (~product(e_2,e_1,e_2)), inference(extension_rule, [i_0_90])).
% 7.93/1.35  cnf(i_0_129, plain, (product(e_1,e_1,e_4)), inference(extension_rule, [i_0_88])).
% 7.93/1.35  cnf(i_0_301, plain, (equalish(e_2,e_1)), inference(closure_rule, [i_0_70])).
% 7.93/1.35  cnf(i_0_303, plain, (~product(e_1,e_2,e_4)), inference(extension_rule, [i_0_86])).
% 7.93/1.35  cnf(i_0_312, plain, (~group_element(e_2)), inference(closure_rule, [i_0_62])).
% 7.93/1.35  cnf(i_0_313, plain, (~group_element(e_1)), inference(closure_rule, [i_0_61])).
% 7.93/1.35  cnf(i_0_128, plain, (product(e_1,e_1,e_5)), inference(extension_rule, [i_0_89])).
% 7.93/1.35  cnf(i_0_361, plain, (equalish(e_2,e_1)), inference(closure_rule, [i_0_70])).
% 7.93/1.35  cnf(i_0_363, plain, (~product(e_2,e_1,e_5)), inference(extension_rule, [i_0_90])).
% 7.93/1.35  cnf(i_0_91, plain, (product(e_1,e_1,e_1)), inference(extension_rule, [i_0_87])).
% 7.93/1.35  cnf(i_0_367, plain, (equalish(e_2,e_1)), inference(closure_rule, [i_0_70])).
% 7.93/1.35  cnf(i_0_369, plain, (~product(e_1,e_1,e_2)), inference(extension_rule, [i_0_90])).
% 7.93/1.35  cnf(i_0_387, plain, (~product(e_2,e_1,e_1)), inference(extension_rule, [i_0_86])).
% 7.93/1.35  cnf(i_0_397, plain, (~group_element(e_1)), inference(closure_rule, [i_0_61])).
% 7.93/1.35  cnf(i_0_398, plain, (~group_element(e_2)), inference(closure_rule, [i_0_62])).
% 7.93/1.35  cnf(i_0_388, plain, (~product(e_2,e_1,e_1)), inference(extension_rule, [i_0_86])).
% 7.93/1.35  cnf(i_0_419, plain, (~group_element(e_1)), inference(closure_rule, [i_0_61])).
% 7.93/1.35  cnf(i_0_420, plain, (~group_element(e_2)), inference(closure_rule, [i_0_62])).
% 7.93/1.35  cnf(i_0_93, plain, (~product(e_1,e_1,e_1)), inference(etableau_closure_rule, [i_0_93, ...])).
% 7.93/1.35  cnf(i_0_238, plain, (product(e_1,e_2,e_5)), inference(etableau_closure_rule, [i_0_238, ...])).
% 7.93/1.35  cnf(i_0_239, plain, (product(e_1,e_2,e_4)), inference(etableau_closure_rule, [i_0_239, ...])).
% 7.93/1.35  cnf(i_0_241, plain, (product(e_1,e_2,e_2)), inference(etableau_closure_rule, [i_0_241, ...])).
% 7.93/1.35  cnf(i_0_242, plain, (product(e_1,e_2,e_1)), inference(etableau_closure_rule, [i_0_242, ...])).
% 7.93/1.35  cnf(i_0_307, plain, (product(e_1,e_2,e_5)), inference(etableau_closure_rule, [i_0_307, ...])).
% 7.93/1.35  cnf(i_0_309, plain, (product(e_1,e_2,e_3)), inference(etableau_closure_rule, [i_0_309, ...])).
% 7.93/1.35  cnf(i_0_310, plain, (product(e_1,e_2,e_2)), inference(etableau_closure_rule, [i_0_310, ...])).
% 7.93/1.35  cnf(i_0_311, plain, (product(e_1,e_2,e_1)), inference(etableau_closure_rule, [i_0_311, ...])).
% 7.93/1.35  cnf(i_0_392, plain, (product(e_2,e_1,e_5)), inference(etableau_closure_rule, [i_0_392, ...])).
% 7.93/1.35  cnf(i_0_393, plain, (product(e_2,e_1,e_4)), inference(etableau_closure_rule, [i_0_393, ...])).
% 7.93/1.35  # End printing tableau
% 7.93/1.35  # SZS output end
% 7.93/1.35  # Branches closed with saturation will be marked with an "s"
% 7.93/1.36  # Child (7322) has found a proof.
% 7.93/1.36  
% 7.93/1.36  # Proof search is over...
% 7.93/1.36  # Freeing feature tree
%------------------------------------------------------------------------------