TSTP Solution File: GRP123-2.005 by Etableau---0.67
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%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : GRP123-2.005 : 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 : n032.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 09:04:31 EDT 2022
% Result : Satisfiable 33.57s 4.55s
% Output : CNFRefutation 33.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.08 % Problem : GRP123-2.005 : TPTP v8.1.0. Released v1.2.0.
% 0.02/0.09 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.07/0.27 % Computer : n032.cluster.edu
% 0.07/0.27 % Model : x86_64 x86_64
% 0.07/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.27 % Memory : 8042.1875MB
% 0.07/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.27 % CPULimit : 300
% 0.07/0.27 % WCLimit : 600
% 0.07/0.27 % DateTime : Mon Jun 13 15:34:27 EDT 2022
% 0.07/0.28 % CPUTime :
% 0.07/0.30 # No SInE strategy applied
% 0.07/0.30 # Auto-Mode selected heuristic H_____011_C07_F1_PI_AE_OS_S1U
% 0.07/0.30 # and selection function SelectComplexAHPExceptRRHorn.
% 0.07/0.30 #
% 0.07/0.30 # Number of axioms: 47 Number of unprocessed: 47
% 0.07/0.30 # Tableaux proof search.
% 0.07/0.30 # APR header successfully linked.
% 0.07/0.30 # Hello from C++
% 0.07/0.30 # The folding up rule is enabled...
% 0.07/0.30 # Local unification is enabled...
% 0.07/0.30 # Any saturation attempts will use folding labels...
% 0.07/0.30 # 47 beginning clauses after preprocessing and clausification
% 0.07/0.30 # Creating start rules for all 2 conjectures.
% 0.07/0.30 # There are 2 start rule candidates:
% 0.07/0.30 # Found 40 unit axioms.
% 0.07/0.30 # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.07/0.30 # 2 start rule tableaux created.
% 0.07/0.30 # 7 extension rule candidate clauses
% 0.07/0.30 # 40 unit axiom clauses
% 0.07/0.30
% 0.07/0.30 # Requested 8, 32 cores available to the main process.
% 0.07/0.30 # There are not enough tableaux to fork, creating more from the initial 2
% 0.07/0.30 # Returning from population with 8 new_tableaux and 0 remaining starting tableaux.
% 0.07/0.30 # We now have 8 tableaux to operate on
% 33.57/4.53 # 4717 Satisfiable branch
% 33.57/4.55 # Satisfiable branch found.
% 33.57/4.55 # There were 20 total branch saturation attempts.
% 33.57/4.55 # There were 0 of these attempts blocked.
% 33.57/4.55 # There were 0 deferred branch saturation attempts.
% 33.57/4.55 # There were 0 free duplicated saturations.
% 33.57/4.55 # There were 18 total successful branch saturations.
% 33.57/4.55 # There were 4 successful branch saturations in interreduction.
% 33.57/4.55 # There were 0 successful branch saturations on the branch.
% 33.57/4.55 # There were 14 successful branch saturations after the branch.
% 33.57/4.55 # SZS status Satisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 33.57/4.55 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 33.57/4.55 # Begin clausification derivation
% 33.57/4.55
% 33.57/4.55 # End clausification derivation
% 33.57/4.55 # Begin listing active clauses obtained from FOF to CNF conversion
% 33.57/4.55 cnf(i_0_63, plain, (group_element(e_1))).
% 33.57/4.55 cnf(i_0_64, plain, (group_element(e_2))).
% 33.57/4.55 cnf(i_0_65, plain, (group_element(e_3))).
% 33.57/4.55 cnf(i_0_66, plain, (group_element(e_4))).
% 33.57/4.55 cnf(i_0_67, plain, (group_element(e_5))).
% 33.57/4.55 cnf(i_0_48, plain, (next(e_1,e_2))).
% 33.57/4.55 cnf(i_0_49, plain, (next(e_2,e_3))).
% 33.57/4.55 cnf(i_0_50, plain, (next(e_3,e_4))).
% 33.57/4.55 cnf(i_0_51, plain, (next(e_4,e_5))).
% 33.57/4.55 cnf(i_0_52, plain, (greater(e_2,e_1))).
% 33.57/4.55 cnf(i_0_53, plain, (greater(e_3,e_1))).
% 33.57/4.55 cnf(i_0_56, plain, (greater(e_3,e_2))).
% 33.57/4.55 cnf(i_0_54, plain, (greater(e_4,e_1))).
% 33.57/4.55 cnf(i_0_57, plain, (greater(e_4,e_2))).
% 33.57/4.55 cnf(i_0_59, plain, (greater(e_4,e_3))).
% 33.57/4.55 cnf(i_0_55, plain, (greater(e_5,e_1))).
% 33.57/4.55 cnf(i_0_58, plain, (greater(e_5,e_2))).
% 33.57/4.55 cnf(i_0_60, plain, (greater(e_5,e_3))).
% 33.57/4.55 cnf(i_0_61, plain, (greater(e_5,e_4))).
% 33.57/4.55 cnf(i_0_68, plain, (~equalish(e_1,e_2))).
% 33.57/4.55 cnf(i_0_69, plain, (~equalish(e_1,e_3))).
% 33.57/4.55 cnf(i_0_70, plain, (~equalish(e_1,e_4))).
% 33.57/4.55 cnf(i_0_71, plain, (~equalish(e_1,e_5))).
% 33.57/4.55 cnf(i_0_72, plain, (~equalish(e_2,e_1))).
% 33.57/4.55 cnf(i_0_73, plain, (~equalish(e_2,e_3))).
% 33.57/4.55 cnf(i_0_74, plain, (~equalish(e_2,e_4))).
% 33.57/4.55 cnf(i_0_75, plain, (~equalish(e_2,e_5))).
% 33.57/4.55 cnf(i_0_76, plain, (~equalish(e_3,e_1))).
% 33.57/4.55 cnf(i_0_77, plain, (~equalish(e_3,e_2))).
% 33.57/4.55 cnf(i_0_78, plain, (~equalish(e_3,e_4))).
% 33.57/4.55 cnf(i_0_79, plain, (~equalish(e_3,e_5))).
% 33.57/4.55 cnf(i_0_80, plain, (~equalish(e_4,e_1))).
% 33.57/4.55 cnf(i_0_81, plain, (~equalish(e_4,e_2))).
% 33.57/4.55 cnf(i_0_82, plain, (~equalish(e_4,e_3))).
% 33.57/4.55 cnf(i_0_83, plain, (~equalish(e_4,e_5))).
% 33.57/4.55 cnf(i_0_84, plain, (~equalish(e_5,e_1))).
% 33.57/4.55 cnf(i_0_85, plain, (~equalish(e_5,e_2))).
% 33.57/4.55 cnf(i_0_86, plain, (~equalish(e_5,e_3))).
% 33.57/4.55 cnf(i_0_87, plain, (~equalish(e_5,e_4))).
% 33.57/4.55 cnf(i_0_92, plain, (product(X1,X1,X1))).
% 33.57/4.55 cnf(i_0_62, plain, (~next(X1,X3)|~greater(X2,X3)|~product(X1,e_1,X2))).
% 33.57/4.55 cnf(i_0_89, plain, (equalish(X3,X4)|~product(X1,X2,X4)|~product(X1,X2,X3))).
% 33.57/4.55 cnf(i_0_90, plain, (equalish(X2,X4)|~product(X1,X4,X3)|~product(X1,X2,X3))).
% 33.57/4.55 cnf(i_0_91, plain, (equalish(X1,X4)|~product(X4,X2,X3)|~product(X1,X2,X3))).
% 33.57/4.55 cnf(i_0_88, 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))).
% 33.57/4.55 cnf(i_0_94, negated_conjecture, (equalish(X2,X5)|~product(X6,X5,X4)|~product(X6,X2,X1)|~product(X4,X5,X3)|~product(X1,X2,X3))).
% 33.57/4.55 cnf(i_0_93, negated_conjecture, (equalish(X1,X4)|~product(X6,X5,X4)|~product(X6,X2,X1)|~product(X4,X5,X3)|~product(X1,X2,X3))).
% 33.57/4.55 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 33.57/4.55 # Begin printing tableau
% 33.57/4.55 # Found 54 steps
% 33.57/4.55 cnf(i_0_94, 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_2,e_1,e_2)), inference(start_rule)).
% 33.57/4.55 cnf(i_0_100, plain, (equalish(e_1,e_2)), inference(closure_rule, [i_0_68])).
% 33.57/4.55 cnf(i_0_101, plain, (~product(e_2,e_2,e_2)), inference(closure_rule, [i_0_92])).
% 33.57/4.55 cnf(i_0_103, plain, (~product(e_2,e_2,e_2)), inference(closure_rule, [i_0_92])).
% 33.57/4.55 cnf(i_0_102, plain, (~product(e_2,e_1,e_2)), inference(extension_rule, [i_0_88])).
% 33.57/4.55 cnf(i_0_180, plain, (~group_element(e_1)), inference(closure_rule, [i_0_63])).
% 33.57/4.55 cnf(i_0_181, plain, (~group_element(e_2)), inference(closure_rule, [i_0_64])).
% 33.57/4.55 cnf(i_0_178, plain, (product(e_2,e_1,e_4)), inference(extension_rule, [i_0_90])).
% 33.57/4.55 cnf(i_0_81782, plain, (equalish(e_2,e_1)), inference(closure_rule, [i_0_72])).
% 33.57/4.55 cnf(i_0_81784, plain, (~product(e_2,e_2,e_4)), inference(extension_rule, [i_0_88])).
% 33.57/4.55 cnf(i_0_81793, plain, (~group_element(e_2)), inference(closure_rule, [i_0_64])).
% 33.57/4.55 cnf(i_0_81794, plain, (~group_element(e_2)), inference(closure_rule, [i_0_64])).
% 33.57/4.55 cnf(i_0_179, plain, (product(e_2,e_1,e_5)), inference(extension_rule, [i_0_91])).
% 33.57/4.55 cnf(i_0_81795, plain, (equalish(e_1,e_2)), inference(closure_rule, [i_0_68])).
% 33.57/4.55 cnf(i_0_81797, plain, (~product(e_1,e_1,e_5)), inference(extension_rule, [i_0_88])).
% 33.57/4.55 cnf(i_0_81822, plain, (~group_element(e_1)), inference(closure_rule, [i_0_63])).
% 33.57/4.55 cnf(i_0_81823, plain, (~group_element(e_1)), inference(closure_rule, [i_0_63])).
% 33.57/4.55 cnf(i_0_175, plain, (product(e_2,e_1,e_1)), inference(extension_rule, [i_0_93])).
% 33.57/4.55 cnf(i_0_81824, plain, (equalish(e_2,e_1)), inference(closure_rule, [i_0_72])).
% 33.57/4.55 cnf(i_0_81826, plain, (~product(e_2,e_2,e_2)), inference(closure_rule, [i_0_92])).
% 33.57/4.55 cnf(i_0_81828, plain, (~product(e_2,e_2,e_2)), inference(extension_rule, [i_0_88])).
% 33.57/4.55 cnf(i_0_81880, plain, (~group_element(e_2)), inference(closure_rule, [i_0_64])).
% 33.57/4.55 cnf(i_0_81881, plain, (~group_element(e_2)), inference(closure_rule, [i_0_64])).
% 33.57/4.55 cnf(i_0_81827, plain, (~product(e_1,e_1,e_2)), inference(extension_rule, [i_0_88])).
% 33.57/4.55 cnf(i_0_81909, plain, (~group_element(e_1)), inference(closure_rule, [i_0_63])).
% 33.57/4.55 cnf(i_0_81910, plain, (~group_element(e_1)), inference(closure_rule, [i_0_63])).
% 33.57/4.55 cnf(i_0_177, plain, (product(e_2,e_1,e_3)), inference(extension_rule, [i_0_94])).
% 33.57/4.55 cnf(i_0_81911, plain, (equalish(e_2,e_1)), inference(closure_rule, [i_0_72])).
% 33.57/4.55 cnf(i_0_81913, plain, (~product(e_2,e_2,e_2)), inference(closure_rule, [i_0_92])).
% 33.57/4.55 cnf(i_0_81915, plain, (~product(e_2,e_2,e_2)), inference(closure_rule, [i_0_92])).
% 33.57/4.55 cnf(i_0_81914, plain, (~product(e_3,e_1,e_2)), inference(extension_rule, [i_0_88])).
% 33.57/4.55 cnf(i_0_81938, plain, (~group_element(e_1)), inference(closure_rule, [i_0_63])).
% 33.57/4.55 cnf(i_0_81939, plain, (~group_element(e_3)), inference(closure_rule, [i_0_65])).
% 33.57/4.55 cnf(i_0_104, plain, (~product(e_2,e_1,e_2)), inference(extension_rule, [i_0_88])).
% 33.57/4.55 cnf(i_0_81967, plain, (~group_element(e_1)), inference(closure_rule, [i_0_63])).
% 33.57/4.55 cnf(i_0_81968, plain, (~group_element(e_2)), inference(closure_rule, [i_0_64])).
% 33.57/4.55 cnf(i_0_81788, plain, (product(e_2,e_2,e_1)), inference(etableau_closure_rule, [i_0_81788, ...])).
% 33.57/4.55 cnf(i_0_81789, plain, (product(e_2,e_2,e_2)), inference(etableau_closure_rule, [i_0_81789, ...])).
% 33.57/4.55 cnf(i_0_81790, plain, (product(e_2,e_2,e_3)), inference(etableau_closure_rule, [i_0_81790, ...])).
% 33.57/4.55 cnf(i_0_81792, plain, (product(e_2,e_2,e_5)), inference(etableau_closure_rule, [i_0_81792, ...])).
% 33.57/4.55 cnf(i_0_81817, plain, (product(e_1,e_1,e_1)), inference(etableau_closure_rule, [i_0_81817, ...])).
% 33.57/4.55 cnf(i_0_81818, plain, (product(e_1,e_1,e_2)), inference(etableau_closure_rule, [i_0_81818, ...])).
% 33.57/4.55 cnf(i_0_81819, plain, (product(e_1,e_1,e_3)), inference(etableau_closure_rule, [i_0_81819, ...])).
% 33.57/4.55 cnf(i_0_81820, plain, (product(e_1,e_1,e_4)), inference(etableau_closure_rule, [i_0_81820, ...])).
% 33.57/4.55 cnf(i_0_81875, plain, (product(e_2,e_2,e_1)), inference(etableau_closure_rule, [i_0_81875, ...])).
% 33.57/4.55 cnf(i_0_81877, plain, (product(e_2,e_2,e_3)), inference(etableau_closure_rule, [i_0_81877, ...])).
% 33.57/4.55 cnf(i_0_81878, plain, (product(e_2,e_2,e_4)), inference(etableau_closure_rule, [i_0_81878, ...])).
% 33.57/4.55 cnf(i_0_81879, plain, (product(e_2,e_2,e_5)), inference(etableau_closure_rule, [i_0_81879, ...])).
% 33.57/4.55 cnf(i_0_81904, plain, (product(e_1,e_1,e_1)), inference(etableau_closure_rule, [i_0_81904, ...])).
% 33.57/4.55 cnf(i_0_81906, plain, (product(e_1,e_1,e_3)), inference(etableau_closure_rule, [i_0_81906, ...])).
% 33.57/4.55 cnf(i_0_81907, plain, (product(e_1,e_1,e_4)), inference(etableau_closure_rule, [i_0_81907, ...])).
% 33.57/4.55 cnf(i_0_81908, plain, (product(e_1,e_1,e_5)), inference(etableau_closure_rule, [i_0_81908, ...])).
% 33.57/4.55 cnf(i_0_81933, plain, (product(e_3,e_1,e_1)), inference(etableau_closure_rule, [i_0_81933, ...])).
% 33.57/4.55 cnf(i_0_81935, plain, (product(e_3,e_1,e_3)), inference(etableau_closure_rule, [i_0_81935, ...])).
% 33.57/4.55 # End printing tableau
% 33.57/4.55 # SZS output end
% 33.57/4.55 # Branches closed with saturation will be marked with an "s"
% 33.57/4.56 # Child (4717) has found a proof.
% 33.57/4.56
% 33.57/4.56 # Proof search is over...
% 33.57/4.56 # Freeing feature tree
%------------------------------------------------------------------------------