TSTP Solution File: GRP124-3.005 by Etableau---0.67

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : GRP124-3.005 : 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 : n029.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 09:04:36 EDT 2022

% Result   : Satisfiable 114.75s 14.90s
% Output   : CNFRefutation 114.75s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : GRP124-3.005 : TPTP v8.1.0. Released v1.2.0.
% 0.08/0.14  % 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 : n029.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 : Tue Jun 14 05:52:55 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.14/0.38  # No SInE strategy applied
% 0.14/0.38  # Auto-Mode selected heuristic H_____011_C07_F1_PI_AE_OS_S1U
% 0.14/0.38  # and selection function SelectComplexAHPExceptRRHorn.
% 0.14/0.38  #
% 0.14/0.38  # Number of axioms: 59 Number of unprocessed: 59
% 0.14/0.38  # Tableaux proof search.
% 0.14/0.38  # APR header successfully linked.
% 0.14/0.38  # Hello from C++
% 0.14/0.38  # The folding up rule is enabled...
% 0.14/0.38  # Local unification is enabled...
% 0.14/0.38  # Any saturation attempts will use folding labels...
% 0.14/0.38  # 59 beginning clauses after preprocessing and clausification
% 0.14/0.38  # Creating start rules for all 2 conjectures.
% 0.14/0.38  # There are 2 start rule candidates:
% 0.14/0.38  # Found 47 unit axioms.
% 0.14/0.38  # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.14/0.38  # 2 start rule tableaux created.
% 0.14/0.38  # 12 extension rule candidate clauses
% 0.14/0.38  # 47 unit axiom clauses
% 0.14/0.38  
% 0.14/0.38  # Requested 8, 32 cores available to the main process.
% 0.14/0.38  # There are not enough tableaux to fork, creating more from the initial 2
% 0.14/0.38  # Returning from population with 8 new_tableaux and 0 remaining starting tableaux.
% 0.14/0.38  # We now have 8 tableaux to operate on
% 114.75/14.90  # 17432 Satisfiable branch
% 114.75/14.90  # Satisfiable branch found.
% 114.75/14.90  # There were 38 total branch saturation attempts.
% 114.75/14.90  # There were 0 of these attempts blocked.
% 114.75/14.90  # There were 0 deferred branch saturation attempts.
% 114.75/14.90  # There were 0 free duplicated saturations.
% 114.75/14.90  # There were 33 total successful branch saturations.
% 114.75/14.90  # There were 0 successful branch saturations in interreduction.
% 114.75/14.90  # There were 0 successful branch saturations on the branch.
% 114.75/14.90  # There were 33 successful branch saturations after the branch.
% 114.75/14.90  # SZS status Satisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 114.75/14.90  # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 114.75/14.90  # Begin clausification derivation
% 114.75/14.90  
% 114.75/14.90  # End clausification derivation
% 114.75/14.90  # Begin listing active clauses obtained from FOF to CNF conversion
% 114.75/14.90  cnf(i_0_87, plain, (group_element(e_1))).
% 114.75/14.90  cnf(i_0_88, plain, (group_element(e_2))).
% 114.75/14.90  cnf(i_0_89, plain, (group_element(e_3))).
% 114.75/14.90  cnf(i_0_90, plain, (group_element(e_4))).
% 114.75/14.90  cnf(i_0_91, plain, (group_element(e_5))).
% 114.75/14.90  cnf(i_0_60, plain, (next(e_0,e_1))).
% 114.75/14.90  cnf(i_0_61, plain, (next(e_1,e_2))).
% 114.75/14.90  cnf(i_0_62, plain, (next(e_2,e_3))).
% 114.75/14.90  cnf(i_0_63, plain, (next(e_3,e_4))).
% 114.75/14.90  cnf(i_0_64, plain, (next(e_4,e_5))).
% 114.75/14.90  cnf(i_0_65, plain, (greater(e_1,e_0))).
% 114.75/14.90  cnf(i_0_66, plain, (greater(e_2,e_0))).
% 114.75/14.90  cnf(i_0_70, plain, (greater(e_2,e_1))).
% 114.75/14.90  cnf(i_0_67, plain, (greater(e_3,e_0))).
% 114.75/14.90  cnf(i_0_71, plain, (greater(e_3,e_1))).
% 114.75/14.90  cnf(i_0_74, plain, (greater(e_3,e_2))).
% 114.75/14.90  cnf(i_0_68, plain, (greater(e_4,e_0))).
% 114.75/14.90  cnf(i_0_72, plain, (greater(e_4,e_1))).
% 114.75/14.90  cnf(i_0_75, plain, (greater(e_4,e_2))).
% 114.75/14.91  cnf(i_0_77, plain, (greater(e_4,e_3))).
% 114.75/14.91  cnf(i_0_69, plain, (greater(e_5,e_0))).
% 114.75/14.91  cnf(i_0_73, plain, (greater(e_5,e_1))).
% 114.75/14.91  cnf(i_0_76, plain, (greater(e_5,e_2))).
% 114.75/14.91  cnf(i_0_78, plain, (greater(e_5,e_3))).
% 114.75/14.91  cnf(i_0_79, plain, (greater(e_5,e_4))).
% 114.75/14.91  cnf(i_0_82, plain, (cycle(e_5,e_0))).
% 114.75/14.91  cnf(i_0_92, plain, (~equalish(e_1,e_2))).
% 114.75/14.91  cnf(i_0_93, plain, (~equalish(e_1,e_3))).
% 114.75/14.91  cnf(i_0_94, plain, (~equalish(e_1,e_4))).
% 114.75/14.91  cnf(i_0_95, plain, (~equalish(e_1,e_5))).
% 114.75/14.91  cnf(i_0_96, plain, (~equalish(e_2,e_1))).
% 114.75/14.91  cnf(i_0_97, plain, (~equalish(e_2,e_3))).
% 114.75/14.91  cnf(i_0_98, plain, (~equalish(e_2,e_4))).
% 114.75/14.91  cnf(i_0_99, plain, (~equalish(e_2,e_5))).
% 114.75/14.91  cnf(i_0_100, plain, (~equalish(e_3,e_1))).
% 114.75/14.91  cnf(i_0_101, plain, (~equalish(e_3,e_2))).
% 114.75/14.91  cnf(i_0_102, plain, (~equalish(e_3,e_4))).
% 114.75/14.91  cnf(i_0_103, plain, (~equalish(e_3,e_5))).
% 114.75/14.91  cnf(i_0_104, plain, (~equalish(e_4,e_1))).
% 114.75/14.91  cnf(i_0_105, plain, (~equalish(e_4,e_2))).
% 114.75/14.91  cnf(i_0_106, plain, (~equalish(e_4,e_3))).
% 114.75/14.91  cnf(i_0_107, plain, (~equalish(e_4,e_5))).
% 114.75/14.91  cnf(i_0_108, plain, (~equalish(e_5,e_1))).
% 114.75/14.91  cnf(i_0_109, plain, (~equalish(e_5,e_2))).
% 114.75/14.91  cnf(i_0_110, plain, (~equalish(e_5,e_3))).
% 114.75/14.91  cnf(i_0_111, plain, (~equalish(e_5,e_4))).
% 114.75/14.91  cnf(i_0_116, plain, (product(X1,X1,X1))).
% 114.75/14.91  cnf(i_0_80, plain, (equalish(X2,X3)|~cycle(X1,X3)|~cycle(X1,X2))).
% 114.75/14.91  cnf(i_0_81, plain, (cycle(X1,e_0)|cycle(X1,e_1)|cycle(X1,e_2)|cycle(X1,e_3)|cycle(X1,e_4)|~group_element(X1))).
% 114.75/14.91  cnf(i_0_83, plain, (equalish(X2,X5)|~next(X4,X5)|~next(X1,X3)|~cycle(X3,X4)|~cycle(X1,X2)|~greater(X2,e_0))).
% 114.75/14.91  cnf(i_0_85, plain, (~greater(X2,X1)|~cycle(X1,e_0)|~product(X1,e_1,X2))).
% 114.75/14.91  cnf(i_0_84, plain, (~next(X3,X4)|~greater(X3,X1)|~greater(X2,X5)|~cycle(X4,X5)|~cycle(X1,X2)|~cycle(X3,e_0))).
% 114.75/14.91  cnf(i_0_86, plain, (equalish(X3,X4)|~next(X1,X4)|~cycle(X1,X2)|~greater(X2,e_0)|~product(X1,e_1,X3))).
% 114.75/14.91  cnf(i_0_113, plain, (equalish(X3,X4)|~product(X1,X2,X4)|~product(X1,X2,X3))).
% 114.75/14.91  cnf(i_0_114, plain, (equalish(X2,X4)|~product(X1,X4,X3)|~product(X1,X2,X3))).
% 114.75/14.91  cnf(i_0_115, plain, (equalish(X1,X4)|~product(X4,X2,X3)|~product(X1,X2,X3))).
% 114.75/14.91  cnf(i_0_112, plain, (product(X1,X2,e_1)|product(X1,X2,e_2)|product(X1,X2,e_3)|product(X1,X2,e_4)|product(X1,X2,e_5)|~group_element(X2)|~group_element(X1))).
% 114.75/14.91  cnf(i_0_118, negated_conjecture, (equalish(X2,X5)|~product(X6,X4,X5)|~product(X6,X1,X2)|~product(X4,X5,X3)|~product(X1,X2,X3))).
% 114.75/14.91  cnf(i_0_117, negated_conjecture, (equalish(X1,X4)|~product(X6,X4,X5)|~product(X6,X1,X2)|~product(X4,X5,X3)|~product(X1,X2,X3))).
% 114.75/14.91  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 114.75/14.91  # Begin printing tableau
% 114.75/14.91  # Found 124 steps
% 114.75/14.91  cnf(i_0_117, negated_conjecture, (equalish(e_1,e_2)|~product(e_2,e_2,e_2)|~product(e_2,e_1,e_2)|~product(e_2,e_2,e_2)|~product(e_1,e_2,e_2)), inference(start_rule)).
% 114.75/14.91  cnf(i_0_178669, plain, (product(e_1,e_3,e_4)), inference(closure_rule, [i_0_0])).
% 114.75/14.91  cnf(i_0_178798, plain, (product(e_2,X3,e_2)), inference(closure_rule, [i_0_0])).
% 114.75/14.91  cnf(i_0_178799, plain, (product(e_2,X3,e_3)), inference(closure_rule, [i_0_0])).
% 114.75/14.91  cnf(i_0_178800, plain, (product(e_2,X3,e_4)), inference(closure_rule, [i_0_0])).
% 114.75/14.91  cnf(i_0_178801, plain, (product(e_2,X3,e_5)), inference(closure_rule, [i_0_0])).
% 114.75/14.91  cnf(i_0_178802, plain, (~group_element(X3)), inference(closure_rule, [i_0_0])).
% 114.75/14.91  cnf(i_0_178853, plain, (product(e_1,e_4,e_2)), inference(closure_rule, [i_0_0])).
% 114.75/14.91  cnf(i_0_178854, plain, (product(e_1,e_4,e_3)), inference(closure_rule, [i_0_0])).
% 114.75/14.91  cnf(i_0_178855, plain, (product(e_1,e_4,e_4)), inference(closure_rule, [i_0_0])).
% 114.75/14.91  cnf(i_0_178856, plain, (product(e_1,e_4,e_5)), inference(closure_rule, [i_0_0])).
% 114.75/14.91  cnf(i_0_178908, plain, (product(X3,e_1,e_2)), inference(closure_rule, [i_0_0])).
% 114.75/14.91  cnf(i_0_178909, plain, (product(X3,e_1,e_3)), inference(closure_rule, [i_0_0])).
% 114.75/14.91  cnf(i_0_178910, plain, (product(X3,e_1,e_4)), inference(closure_rule, [i_0_0])).
% 114.75/14.91  cnf(i_0_178911, plain, (product(X3,e_1,e_5)), inference(closure_rule, [i_0_0])).
% 114.75/14.91  cnf(i_0_178913, plain, (~group_element(X3)), inference(closure_rule, [i_0_0])).
% 114.75/14.91  cnf(i_0_261015, plain, (product(e_1,e_1,e_1)), inference(closure_rule, [i_0_0])).
% 114.75/14.91  cnf(i_0_261017, plain, (product(e_1,e_1,e_3)), inference(closure_rule, [i_0_0])).
% 114.75/14.91  cnf(i_0_261018, plain, (product(e_1,e_1,e_4)), inference(closure_rule, [i_0_0])).
% 114.75/14.91  cnf(i_0_261019, plain, (product(e_1,e_1,e_5)), inference(closure_rule, [i_0_0])).
% 114.75/14.91  cnf(i_0_261071, plain, (product(e_2,e_1,e_2)), inference(closure_rule, [i_0_0])).
% 114.75/14.91  cnf(i_0_261072, plain, (product(e_2,e_1,e_3)), inference(closure_rule, [i_0_0])).
% 114.75/14.91  cnf(i_0_261073, plain, (product(e_2,e_1,e_4)), inference(closure_rule, [i_0_0])).
% 114.75/14.91  cnf(i_0_261074, plain, (product(e_2,e_1,e_5)), inference(closure_rule, [i_0_0])).
% 114.75/14.91  cnf(i_0_260763, plain, (product(e_1,e_1,e_1)), inference(closure_rule, [i_0_0])).
% 114.75/14.91  cnf(i_0_260764, plain, (product(e_1,e_1,e_2)), inference(closure_rule, [i_0_0])).
% 114.75/14.91  cnf(i_0_260766, plain, (product(e_1,e_1,e_4)), inference(closure_rule, [i_0_0])).
% 114.75/14.91  cnf(i_0_260767, plain, (product(e_1,e_1,e_5)), inference(closure_rule, [i_0_0])).
% 114.75/14.91  cnf(i_0_260847, plain, (product(e_2,e_2,e_1)), inference(closure_rule, [i_0_0])).
% 114.75/14.91  cnf(i_0_119, plain, (equalish(e_1,e_2)), inference(closure_rule, [i_0_92])).
% 114.75/14.91  cnf(i_0_120, plain, (~product(e_2,e_2,e_2)), inference(closure_rule, [i_0_116])).
% 114.75/14.91  cnf(i_0_122, plain, (~product(e_2,e_2,e_2)), inference(closure_rule, [i_0_116])).
% 114.75/14.91  cnf(i_0_121, plain, (~product(e_2,e_1,e_2)), inference(extension_rule, [i_0_112])).
% 114.75/14.91  cnf(i_0_172, plain, (~group_element(e_1)), inference(closure_rule, [i_0_87])).
% 114.75/14.91  cnf(i_0_173, plain, (~group_element(e_2)), inference(closure_rule, [i_0_88])).
% 114.75/14.91  cnf(i_0_171, plain, (product(e_2,e_1,e_5)), inference(extension_rule, [i_0_114])).
% 114.75/14.91  cnf(i_0_178542, plain, (equalish(e_2,e_1)), inference(closure_rule, [i_0_96])).
% 114.75/14.91  cnf(i_0_178544, plain, (~product(e_2,e_2,e_5)), inference(extension_rule, [i_0_112])).
% 114.75/14.91  cnf(i_0_178574, plain, (~group_element(e_2)), inference(closure_rule, [i_0_88])).
% 114.75/14.91  cnf(i_0_178575, plain, (~group_element(e_2)), inference(closure_rule, [i_0_88])).
% 114.75/14.91  cnf(i_0_167, plain, (product(e_2,e_1,e_1)), inference(extension_rule, [i_0_115])).
% 114.75/14.91  cnf(i_0_178597, plain, (equalish(e_1,e_2)), inference(closure_rule, [i_0_92])).
% 114.75/14.91  cnf(i_0_178599, plain, (~product(e_1,e_1,e_1)), inference(closure_rule, [i_0_116])).
% 114.75/14.91  cnf(i_0_169, plain, (product(e_2,e_1,e_3)), inference(extension_rule, [i_0_117])).
% 114.75/14.91  cnf(i_0_178621, plain, (equalish(e_2,e_1)), inference(closure_rule, [i_0_96])).
% 114.75/14.91  cnf(i_0_178623, plain, (~product(e_2,e_2,e_2)), inference(closure_rule, [i_0_116])).
% 114.75/14.91  cnf(i_0_178625, plain, (~product(e_2,e_2,e_2)), inference(closure_rule, [i_0_116])).
% 114.75/14.91  cnf(i_0_178624, plain, (~product(e_1,e_3,e_2)), inference(extension_rule, [i_0_112])).
% 114.75/14.91  cnf(i_0_178671, plain, (~group_element(e_3)), inference(closure_rule, [i_0_89])).
% 114.75/14.91  cnf(i_0_178672, plain, (~group_element(e_1)), inference(closure_rule, [i_0_87])).
% 114.75/14.91  cnf(i_0_170, plain, (product(e_2,e_1,e_4)), inference(extension_rule, [i_0_118])).
% 114.75/14.91  cnf(i_0_178694, plain, (equalish(e_1,e_4)), inference(closure_rule, [i_0_94])).
% 114.75/14.91  cnf(i_0_178696, plain, (~product(e_2,X3,e_1)), inference(extension_rule, [i_0_112])).
% 114.75/14.91  cnf(i_0_178803, plain, (~group_element(e_2)), inference(closure_rule, [i_0_88])).
% 114.75/14.91  cnf(i_0_178697, plain, (~product(e_1,e_4,e_1)), inference(extension_rule, [i_0_112])).
% 114.75/14.91  cnf(i_0_178857, plain, (~group_element(e_4)), inference(closure_rule, [i_0_90])).
% 114.75/14.91  cnf(i_0_178858, plain, (~group_element(e_1)), inference(closure_rule, [i_0_87])).
% 114.75/14.91  cnf(i_0_178698, plain, (~product(X3,e_1,e_1)), inference(extension_rule, [i_0_112])).
% 114.75/14.91  cnf(i_0_178912, plain, (~group_element(e_1)), inference(closure_rule, [i_0_87])).
% 114.75/14.91  cnf(i_0_123, plain, (~product(e_1,e_2,e_2)), inference(extension_rule, [i_0_112])).
% 114.75/14.91  cnf(i_0_178967, plain, (~group_element(e_2)), inference(closure_rule, [i_0_88])).
% 114.75/14.91  cnf(i_0_178968, plain, (~group_element(e_1)), inference(closure_rule, [i_0_87])).
% 114.75/14.91  cnf(i_0_178569, plain, (product(e_2,e_2,e_1)), inference(etableau_closure_rule, [i_0_178569, ...])).
% 114.75/14.91  cnf(i_0_178570, plain, (product(e_2,e_2,e_2)), inference(etableau_closure_rule, [i_0_178570, ...])).
% 114.75/14.91  cnf(i_0_178571, plain, (product(e_2,e_2,e_3)), inference(etableau_closure_rule, [i_0_178571, ...])).
% 114.75/14.91  cnf(i_0_178572, plain, (product(e_2,e_2,e_4)), inference(etableau_closure_rule, [i_0_178572, ...])).
% 114.75/14.91  cnf(i_0_178666, plain, (product(e_1,e_3,e_1)), inference(etableau_closure_rule, [i_0_178666, ...])).
% 114.75/14.91  cnf(i_0_178668, plain, (product(e_1,e_3,e_3)), inference(etableau_closure_rule, [i_0_178668, ...])).
% 114.75/14.91  cnf(i_0_178964, plain, (product(e_1,e_2,e_3)), inference(extension_rule, [i_0_114])).
% 114.75/14.91  cnf(i_0_260718, plain, (equalish(e_1,e_2)), inference(closure_rule, [i_0_92])).
% 114.75/14.91  cnf(i_0_260720, plain, (~product(e_1,e_1,e_3)), inference(extension_rule, [i_0_112])).
% 114.75/14.91  cnf(i_0_260768, plain, (~group_element(e_1)), inference(closure_rule, [i_0_87])).
% 114.75/14.91  cnf(i_0_260769, plain, (~group_element(e_1)), inference(closure_rule, [i_0_87])).
% 114.75/14.91  cnf(i_0_178965, plain, (product(e_1,e_2,e_4)), inference(extension_rule, [i_0_115])).
% 114.75/14.91  cnf(i_0_260799, plain, (equalish(e_2,e_1)), inference(closure_rule, [i_0_96])).
% 114.75/14.91  cnf(i_0_260801, plain, (~product(e_2,e_2,e_4)), inference(extension_rule, [i_0_112])).
% 114.75/14.91  cnf(i_0_260852, plain, (~group_element(e_2)), inference(closure_rule, [i_0_88])).
% 114.75/14.91  cnf(i_0_260853, plain, (~group_element(e_2)), inference(closure_rule, [i_0_88])).
% 114.75/14.91  cnf(i_0_178966, plain, (product(e_1,e_2,e_5)), inference(extension_rule, [i_0_117])).
% 114.75/14.91  cnf(i_0_260883, plain, (equalish(e_1,e_2)), inference(closure_rule, [i_0_92])).
% 114.75/14.91  cnf(i_0_260885, plain, (~product(e_1,e_1,e_1)), inference(closure_rule, [i_0_116])).
% 114.75/14.91  cnf(i_0_260887, plain, (~product(e_1,e_1,e_1)), inference(closure_rule, [i_0_116])).
% 114.75/14.91  cnf(i_0_260886, plain, (~product(e_2,e_5,e_1)), inference(extension_rule, [i_0_112])).
% 114.75/14.91  cnf(i_0_260936, plain, (~group_element(e_5)), inference(closure_rule, [i_0_91])).
% 114.75/14.91  cnf(i_0_260937, plain, (~group_element(e_2)), inference(closure_rule, [i_0_88])).
% 114.75/14.91  cnf(i_0_178962, plain, (product(e_1,e_2,e_1)), inference(extension_rule, [i_0_118])).
% 114.75/14.91  cnf(i_0_260967, plain, (equalish(e_2,e_1)), inference(closure_rule, [i_0_96])).
% 114.75/14.91  cnf(i_0_260969, plain, (~product(e_1,e_1,e_2)), inference(extension_rule, [i_0_112])).
% 114.75/14.91  cnf(i_0_261020, plain, (~group_element(e_1)), inference(closure_rule, [i_0_87])).
% 114.75/14.91  cnf(i_0_261021, plain, (~group_element(e_1)), inference(closure_rule, [i_0_87])).
% 114.75/14.91  cnf(i_0_260971, plain, (~product(e_1,e_2,e_1)), inference(closure_rule, [i_0_178962])).
% 114.75/14.91  cnf(i_0_260970, plain, (~product(e_2,e_1,e_1)), inference(extension_rule, [i_0_112])).
% 114.75/14.91  cnf(i_0_261075, plain, (~group_element(e_1)), inference(closure_rule, [i_0_87])).
% 114.75/14.91  cnf(i_0_261076, plain, (~group_element(e_2)), inference(closure_rule, [i_0_88])).
% 114.75/14.91  cnf(i_0_178670, plain, (product(e_1,e_3,e_5)), inference(extension_rule, [i_0_114])).
% 114.75/14.91  cnf(i_0_299066, plain, (equalish(e_1,e_3)), inference(closure_rule, [i_0_93])).
% 114.75/14.91  cnf(i_0_299068, plain, (~product(e_1,e_1,e_5)), inference(extension_rule, [i_0_112])).
% 114.75/14.91  cnf(i_0_299116, plain, (~group_element(e_1)), inference(closure_rule, [i_0_87])).
% 114.75/14.91  cnf(i_0_299117, plain, (~group_element(e_1)), inference(closure_rule, [i_0_87])).
% 114.75/14.91  cnf(i_0_299113, plain, (product(e_1,e_1,e_3)), inference(extension_rule, [i_0_115])).
% 114.75/14.91  cnf(i_0_406141, plain, (equalish(e_2,e_1)), inference(closure_rule, [i_0_96])).
% 114.75/14.91  cnf(i_0_406143, plain, (~product(e_2,e_1,e_3)), inference(closure_rule, [i_0_169])).
% 114.75/14.91  cnf(i_0_299114, plain, (product(e_1,e_1,e_4)), inference(extension_rule, [i_0_118])).
% 114.75/14.91  cnf(i_0_406165, plain, (equalish(e_1,e_4)), inference(closure_rule, [i_0_94])).
% 114.75/14.91  cnf(i_0_406167, plain, (~product(e_1,e_1,e_1)), inference(closure_rule, [i_0_116])).
% 114.75/14.91  cnf(i_0_406169, plain, (~product(e_1,e_1,e_1)), inference(closure_rule, [i_0_116])).
% 114.75/14.91  cnf(i_0_406168, plain, (~product(e_1,e_4,e_1)), inference(extension_rule, [i_0_112])).
% 114.75/14.91  cnf(i_0_406207, plain, (~group_element(e_4)), inference(closure_rule, [i_0_90])).
% 114.75/14.91  cnf(i_0_406208, plain, (~group_element(e_1)), inference(closure_rule, [i_0_87])).
% 114.75/14.91  cnf(i_0_299112, plain, (product(e_1,e_1,e_2)), inference(extension_rule, [i_0_113])).
% 114.75/14.91  cnf(i_0_407241, plain, (equalish(e_1,e_2)), inference(closure_rule, [i_0_92])).
% 114.75/14.91  cnf(i_0_407243, plain, (~product(e_1,e_1,e_1)), inference(closure_rule, [i_0_116])).
% 114.75/14.91  cnf(i_0_299111, plain, (product(e_1,e_1,e_1)), inference(extension_rule, [i_0_114])).
% 114.75/14.91  cnf(i_0_407265, plain, (equalish(e_2,e_1)), inference(closure_rule, [i_0_96])).
% 114.75/14.91  cnf(i_0_407267, plain, (~product(e_1,e_2,e_1)), inference(extension_rule, [i_0_112])).
% 114.75/14.91  cnf(i_0_407315, plain, (~group_element(e_2)), inference(closure_rule, [i_0_88])).
% 114.75/14.91  cnf(i_0_407316, plain, (~group_element(e_1)), inference(closure_rule, [i_0_87])).
% 114.75/14.91  cnf(i_0_260848, plain, (product(e_2,e_2,e_2)), inference(extension_rule, [i_0_118])).
% 114.75/14.91  cnf(i_0_548124, plain, (equalish(e_1,e_2)), inference(closure_rule, [i_0_92])).
% 114.75/14.91  cnf(i_0_548127, plain, (~product(e_2,e_2,e_2)), inference(closure_rule, [i_0_116])).
% 114.75/14.91  cnf(i_0_260849, plain, (product(e_2,e_2,e_3)), inference(etableau_closure_rule, [i_0_260849, ...])).
% 114.75/14.91  cnf(i_0_260851, plain, (product(e_2,e_2,e_5)), inference(etableau_closure_rule, [i_0_260851, ...])).
% 114.75/14.91  cnf(i_0_260932, plain, (product(e_2,e_5,e_2)), inference(etableau_closure_rule, [i_0_260932, ...])).
% 114.75/14.91  cnf(i_0_260933, plain, (product(e_2,e_5,e_3)), inference(etableau_closure_rule, [i_0_260933, ...])).
% 114.75/14.91  # End printing tableau
% 114.75/14.91  # SZS output end
% 114.75/14.91  # Branches closed with saturation will be marked with an "s"
% 115.43/14.92  # Child (17432) has found a proof.
% 115.43/14.92  
% 115.43/14.92  # Proof search is over...
% 115.43/14.92  # Freeing feature tree
%------------------------------------------------------------------------------