TSTP Solution File: GRP127-2.006 by Etableau---0.67
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%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : GRP127-2.006 : 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 : 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 09:04:45 EDT 2022
% Result : Unsatisfiable 48.33s 8.04s
% Output : CNFRefutation 48.33s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP127-2.006 : TPTP v8.1.0. Released v1.2.0.
% 0.13/0.13 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jun 13 23:11:02 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.37 # No SInE strategy applied
% 0.19/0.37 # Auto-Mode selected heuristic H_____011_C07_F1_PI_AE_OS_S1U
% 0.19/0.37 # and selection function SelectComplexAHPExceptRRHorn.
% 0.19/0.37 #
% 0.19/0.37 # Number of axioms: 63 Number of unprocessed: 63
% 0.19/0.37 # Tableaux proof search.
% 0.19/0.37 # APR header successfully linked.
% 0.19/0.37 # Hello from C++
% 0.19/0.37 # The folding up rule is enabled...
% 0.19/0.37 # Local unification is enabled...
% 0.19/0.37 # Any saturation attempts will use folding labels...
% 0.19/0.37 # 63 beginning clauses after preprocessing and clausification
% 0.19/0.37 # Creating start rules for all 1 conjectures.
% 0.19/0.37 # There are 1 start rule candidates:
% 0.19/0.37 # Found 57 unit axioms.
% 0.19/0.37 # 1 start rule tableaux created.
% 0.19/0.37 # 6 extension rule candidate clauses
% 0.19/0.37 # 57 unit axiom clauses
% 0.19/0.37
% 0.19/0.37 # Requested 8, 32 cores available to the main process.
% 0.19/0.37 # There are not enough tableaux to fork, creating more from the initial 1
% 1.95/2.15 # Returning from population with 8 new_tableaux and 0 remaining starting tableaux.
% 1.95/2.15 # We now have 8 tableaux to operate on
% 1.95/2.18 # Ran out of tableaux, making start rules for all clauses
% 48.33/8.04 # There were 16 total branch saturation attempts.
% 48.33/8.04 # There were 0 of these attempts blocked.
% 48.33/8.04 # There were 0 deferred branch saturation attempts.
% 48.33/8.04 # There were 0 free duplicated saturations.
% 48.33/8.04 # There were 10 total successful branch saturations.
% 48.33/8.04 # There were 0 successful branch saturations in interreduction.
% 48.33/8.04 # There were 0 successful branch saturations on the branch.
% 48.33/8.04 # There were 10 successful branch saturations after the branch.
% 48.33/8.04 # SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 48.33/8.04 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 48.33/8.04 # Begin clausification derivation
% 48.33/8.04
% 48.33/8.04 # End clausification derivation
% 48.33/8.04 # Begin listing active clauses obtained from FOF to CNF conversion
% 48.33/8.04 cnf(i_0_85, plain, (group_element(e_1))).
% 48.33/8.04 cnf(i_0_86, plain, (group_element(e_2))).
% 48.33/8.04 cnf(i_0_87, plain, (group_element(e_3))).
% 48.33/8.04 cnf(i_0_88, plain, (group_element(e_4))).
% 48.33/8.04 cnf(i_0_89, plain, (group_element(e_5))).
% 48.33/8.04 cnf(i_0_90, plain, (group_element(e_6))).
% 48.33/8.04 cnf(i_0_64, plain, (next(e_1,e_2))).
% 48.33/8.04 cnf(i_0_65, plain, (next(e_2,e_3))).
% 48.33/8.04 cnf(i_0_66, plain, (next(e_3,e_4))).
% 48.33/8.04 cnf(i_0_67, plain, (next(e_4,e_5))).
% 48.33/8.04 cnf(i_0_68, plain, (next(e_5,e_6))).
% 48.33/8.04 cnf(i_0_69, plain, (greater(e_2,e_1))).
% 48.33/8.04 cnf(i_0_70, plain, (greater(e_3,e_1))).
% 48.33/8.04 cnf(i_0_74, plain, (greater(e_3,e_2))).
% 48.33/8.04 cnf(i_0_71, plain, (greater(e_4,e_1))).
% 48.33/8.04 cnf(i_0_75, plain, (greater(e_4,e_2))).
% 48.33/8.04 cnf(i_0_78, plain, (greater(e_4,e_3))).
% 48.33/8.04 cnf(i_0_72, plain, (greater(e_5,e_1))).
% 48.33/8.04 cnf(i_0_76, plain, (greater(e_5,e_2))).
% 48.33/8.04 cnf(i_0_79, plain, (greater(e_5,e_3))).
% 48.33/8.04 cnf(i_0_81, plain, (greater(e_5,e_4))).
% 48.33/8.04 cnf(i_0_73, plain, (greater(e_6,e_1))).
% 48.33/8.04 cnf(i_0_77, plain, (greater(e_6,e_2))).
% 48.33/8.04 cnf(i_0_80, plain, (greater(e_6,e_3))).
% 48.33/8.04 cnf(i_0_82, plain, (greater(e_6,e_4))).
% 48.33/8.04 cnf(i_0_83, plain, (greater(e_6,e_5))).
% 48.33/8.04 cnf(i_0_91, plain, (~equalish(e_1,e_2))).
% 48.33/8.04 cnf(i_0_92, plain, (~equalish(e_1,e_3))).
% 48.33/8.04 cnf(i_0_93, plain, (~equalish(e_1,e_4))).
% 48.33/8.04 cnf(i_0_94, plain, (~equalish(e_1,e_5))).
% 48.33/8.04 cnf(i_0_95, plain, (~equalish(e_1,e_6))).
% 48.33/8.04 cnf(i_0_96, plain, (~equalish(e_2,e_1))).
% 48.33/8.04 cnf(i_0_97, plain, (~equalish(e_2,e_3))).
% 48.33/8.04 cnf(i_0_98, plain, (~equalish(e_2,e_4))).
% 48.33/8.04 cnf(i_0_99, plain, (~equalish(e_2,e_5))).
% 48.33/8.04 cnf(i_0_100, plain, (~equalish(e_2,e_6))).
% 48.33/8.04 cnf(i_0_101, plain, (~equalish(e_3,e_1))).
% 48.33/8.04 cnf(i_0_102, plain, (~equalish(e_3,e_2))).
% 48.33/8.04 cnf(i_0_103, plain, (~equalish(e_3,e_4))).
% 48.33/8.04 cnf(i_0_104, plain, (~equalish(e_3,e_5))).
% 48.33/8.04 cnf(i_0_105, plain, (~equalish(e_3,e_6))).
% 48.33/8.04 cnf(i_0_106, plain, (~equalish(e_4,e_1))).
% 48.33/8.04 cnf(i_0_107, plain, (~equalish(e_4,e_2))).
% 48.33/8.04 cnf(i_0_108, plain, (~equalish(e_4,e_3))).
% 48.33/8.04 cnf(i_0_109, plain, (~equalish(e_4,e_5))).
% 48.33/8.04 cnf(i_0_110, plain, (~equalish(e_4,e_6))).
% 48.33/8.04 cnf(i_0_111, plain, (~equalish(e_5,e_1))).
% 48.33/8.04 cnf(i_0_112, plain, (~equalish(e_5,e_2))).
% 48.33/8.04 cnf(i_0_113, plain, (~equalish(e_5,e_3))).
% 48.33/8.04 cnf(i_0_114, plain, (~equalish(e_5,e_4))).
% 48.33/8.04 cnf(i_0_115, plain, (~equalish(e_5,e_6))).
% 48.33/8.04 cnf(i_0_116, plain, (~equalish(e_6,e_1))).
% 48.33/8.04 cnf(i_0_117, plain, (~equalish(e_6,e_2))).
% 48.33/8.04 cnf(i_0_118, plain, (~equalish(e_6,e_3))).
% 48.33/8.04 cnf(i_0_119, plain, (~equalish(e_6,e_4))).
% 48.33/8.04 cnf(i_0_120, plain, (~equalish(e_6,e_5))).
% 48.33/8.04 cnf(i_0_125, plain, (product(X1,X1,X1))).
% 48.33/8.04 cnf(i_0_84, plain, (~next(X1,X3)|~greater(X2,X3)|~product(X1,e_1,X2))).
% 48.33/8.04 cnf(i_0_122, plain, (equalish(X3,X4)|~product(X1,X2,X4)|~product(X1,X2,X3))).
% 48.33/8.04 cnf(i_0_123, plain, (equalish(X2,X4)|~product(X1,X4,X3)|~product(X1,X2,X3))).
% 48.33/8.04 cnf(i_0_124, plain, (equalish(X1,X4)|~product(X4,X2,X3)|~product(X1,X2,X3))).
% 48.33/8.04 cnf(i_0_126, negated_conjecture, (product(X4,X1,X2)|~product(X3,X1,X4)|~product(X1,X2,X3))).
% 48.33/8.04 cnf(i_0_121, 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)|product(X1,X2,e_6)|~group_element(X2)|~group_element(X1))).
% 48.33/8.04 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 48.33/8.04 # Begin printing tableau
% 48.33/8.04 # Found 25 steps
% 48.33/8.04 cnf(i_0_126, 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)).
% 48.33/8.04 cnf(i_0_128, plain, (~product(e_1,e_1,e_1)), inference(closure_rule, [i_0_125])).
% 48.33/8.04 cnf(i_0_129, plain, (~product(e_1,e_1,e_1)), inference(closure_rule, [i_0_125])).
% 48.33/8.04 cnf(i_0_127, plain, (product(e_1,e_1,e_1)), inference(extension_rule, [i_0_124])).
% 48.33/8.04 cnf(i_0_139, plain, (equalish(e_1,e_2)), inference(closure_rule, [i_0_91])).
% 48.33/8.04 cnf(i_0_140, plain, (~product(e_2,e_1,e_1)), inference(extension_rule, [i_0_126])).
% 48.33/8.04 cnf(i_0_40008, plain, (~product(e_1,e_1,e_1)), inference(closure_rule, [i_0_125])).
% 48.33/8.04 cnf(i_0_40007, plain, (~product(e_1,e_1,e_2)), inference(extension_rule, [i_0_126])).
% 48.33/8.04 cnf(i_0_80011, plain, (~product(e_1,e_1,e_1)), inference(closure_rule, [i_0_125])).
% 48.33/8.04 cnf(i_0_80012, plain, (~product(e_1,e_2,e_1)), inference(extension_rule, [i_0_126])).
% 48.33/8.04 cnf(i_0_186777, plain, (~product(e_2,e_1,e_3)), inference(closure_rule, [i_0_40980])).
% 48.33/8.04 cnf(i_0_186776, plain, (~product(e_3,e_2,e_1)), inference(extension_rule, [i_0_121])).
% 48.33/8.04 cnf(i_0_186792, plain, (product(e_3,e_2,e_3)), inference(closure_rule, [i_0_40994])).
% 48.33/8.04 cnf(i_0_186796, plain, (~group_element(e_2)), inference(closure_rule, [i_0_86])).
% 48.33/8.04 cnf(i_0_186797, plain, (~group_element(e_3)), inference(closure_rule, [i_0_87])).
% 48.33/8.04 cnf(i_0_186791, plain, (product(e_3,e_2,e_2)), inference(extension_rule, [i_0_123])).
% 48.33/8.04 cnf(i_0_186801, plain, (equalish(e_1,e_2)), inference(closure_rule, [i_0_91])).
% 48.33/8.04 cnf(i_0_186793, plain, (product(e_3,e_2,e_4)), inference(etableau_closure_rule, [i_0_186793, ...])).
% 48.33/8.04 cnf(i_0_186794, plain, (product(e_3,e_2,e_5)), inference(etableau_closure_rule, [i_0_186794, ...])).
% 48.33/8.04 cnf(i_0_186803, plain, (~product(e_3,e_1,e_2)), inference(extension_rule, [i_0_126])).
% 48.33/8.04 cnf(i_0_243248, plain, (~product(e_2,e_1,e_3)), inference(closure_rule, [i_0_40980])).
% 48.33/8.04 cnf(i_0_186795, plain, (product(e_3,e_2,e_6)), inference(extension_rule, [i_0_122])).
% 48.33/8.04 cnf(i_0_243255, plain, (~product(e_3,e_2,e_6)), inference(closure_rule, [i_0_186795])).
% 48.33/8.04 cnf(i_0_243249, plain, (~product(e_1,e_2,e_2)), inference(etableau_closure_rule, [i_0_243249, ...])).
% 48.33/8.04 cnf(i_0_243253, plain, (equalish(e_6,e_6)), inference(etableau_closure_rule, [i_0_243253, ...])).
% 48.33/8.04 # End printing tableau
% 48.33/8.04 # SZS output end
% 48.33/8.04 # Branches closed with saturation will be marked with an "s"
% 48.33/8.05 # Child (18375) has found a proof.
% 48.33/8.05
% 48.33/8.05 # Proof search is over...
% 48.33/8.05 # Freeing feature tree
%------------------------------------------------------------------------------