TSTP Solution File: GRP127-4.005 by Etableau---0.67
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- Process Solution
%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : GRP127-4.005 : TPTP v8.1.0. Bugfixed v1.2.1.
% 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 : n013.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 09:04:46 EDT 2022
% Result : Satisfiable 121.60s 15.72s
% Output : CNFRefutation 121.60s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP127-4.005 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.12/0.13 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.12/0.34 % Computer : n013.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jun 13 17:11:59 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.36 # No SInE strategy applied
% 0.19/0.36 # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.19/0.36 # and selection function SelectComplexExceptUniqMaxHorn.
% 0.19/0.36 #
% 0.19/0.36 # Presaturation interreduction done
% 0.19/0.36 # Number of axioms: 35 Number of unprocessed: 35
% 0.19/0.36 # Tableaux proof search.
% 0.19/0.36 # APR header successfully linked.
% 0.19/0.36 # Hello from C++
% 0.19/0.36 # The folding up rule is enabled...
% 0.19/0.36 # Local unification is enabled...
% 0.19/0.36 # Any saturation attempts will use folding labels...
% 0.19/0.36 # 35 beginning clauses after preprocessing and clausification
% 0.19/0.36 # Creating start rules for all 3 conjectures.
% 0.19/0.36 # There are 3 start rule candidates:
% 0.19/0.36 # Found 26 unit axioms.
% 0.19/0.36 # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.19/0.36 # 3 start rule tableaux created.
% 0.19/0.36 # 9 extension rule candidate clauses
% 0.19/0.36 # 26 unit axiom clauses
% 0.19/0.36
% 0.19/0.36 # Requested 8, 32 cores available to the main process.
% 0.19/0.36 # There are not enough tableaux to fork, creating more from the initial 3
% 0.19/0.36 # Returning from population with 13 new_tableaux and 0 remaining starting tableaux.
% 0.19/0.36 # We now have 13 tableaux to operate on
% 121.60/15.72 # 20250 Satisfiable branch
% 121.60/15.72 # Satisfiable branch found.
% 121.60/15.72 # There were 32 total branch saturation attempts.
% 121.60/15.72 # There were 9 of these attempts blocked.
% 121.60/15.72 # There were 0 deferred branch saturation attempts.
% 121.60/15.72 # There were 0 free duplicated saturations.
% 121.60/15.72 # There were 2 total successful branch saturations.
% 121.60/15.72 # There were 0 successful branch saturations in interreduction.
% 121.60/15.72 # There were 0 successful branch saturations on the branch.
% 121.60/15.72 # There were 2 successful branch saturations after the branch.
% 121.60/15.72 # SZS status Satisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 121.60/15.72 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 121.60/15.72 # Begin clausification derivation
% 121.60/15.72
% 121.60/15.72 # End clausification derivation
% 121.60/15.72 # Begin listing active clauses obtained from FOF to CNF conversion
% 121.60/15.72 cnf(i_0_40, plain, (group_element(e_1))).
% 121.60/15.72 cnf(i_0_41, plain, (group_element(e_2))).
% 121.60/15.72 cnf(i_0_42, plain, (group_element(e_3))).
% 121.60/15.72 cnf(i_0_43, plain, (group_element(e_4))).
% 121.60/15.72 cnf(i_0_44, plain, (group_element(e_5))).
% 121.60/15.72 cnf(i_0_69, plain, (product(X1,X1,X1))).
% 121.60/15.72 cnf(i_0_45, plain, (~equalish(e_1,e_2))).
% 121.60/15.72 cnf(i_0_46, plain, (~equalish(e_1,e_3))).
% 121.60/15.72 cnf(i_0_47, plain, (~equalish(e_1,e_4))).
% 121.60/15.72 cnf(i_0_48, plain, (~equalish(e_1,e_5))).
% 121.60/15.72 cnf(i_0_49, plain, (~equalish(e_2,e_1))).
% 121.60/15.72 cnf(i_0_50, plain, (~equalish(e_2,e_3))).
% 121.60/15.72 cnf(i_0_51, plain, (~equalish(e_2,e_4))).
% 121.60/15.72 cnf(i_0_52, plain, (~equalish(e_2,e_5))).
% 121.60/15.72 cnf(i_0_53, plain, (~equalish(e_3,e_1))).
% 121.60/15.72 cnf(i_0_54, plain, (~equalish(e_3,e_2))).
% 121.60/15.72 cnf(i_0_55, plain, (~equalish(e_3,e_4))).
% 121.60/15.72 cnf(i_0_56, plain, (~equalish(e_3,e_5))).
% 121.60/15.72 cnf(i_0_57, plain, (~equalish(e_4,e_1))).
% 121.60/15.72 cnf(i_0_58, plain, (~equalish(e_4,e_2))).
% 121.60/15.72 cnf(i_0_59, plain, (~equalish(e_4,e_3))).
% 121.60/15.72 cnf(i_0_60, plain, (~equalish(e_4,e_5))).
% 121.60/15.72 cnf(i_0_61, plain, (~equalish(e_5,e_1))).
% 121.60/15.72 cnf(i_0_62, plain, (~equalish(e_5,e_2))).
% 121.60/15.72 cnf(i_0_63, plain, (~equalish(e_5,e_3))).
% 121.60/15.72 cnf(i_0_64, plain, (~equalish(e_5,e_4))).
% 121.60/15.72 cnf(i_0_66, plain, (equalish(X1,X2)|~product(X3,X4,X2)|~product(X3,X4,X1))).
% 121.60/15.72 cnf(i_0_67, plain, (equalish(X1,X2)|~product(X3,X2,X4)|~product(X3,X1,X4))).
% 121.60/15.72 cnf(i_0_68, plain, (equalish(X1,X2)|~product(X2,X3,X4)|~product(X1,X3,X4))).
% 121.60/15.72 cnf(i_0_70, negated_conjecture, (product(X1,X2,X3)|~product(X4,X2,X1)|~product(X2,X3,X4))).
% 121.60/15.72 cnf(i_0_38, negated_conjecture, (product(X1,X2,X3)|~product(X4,X1,X2)|~product(X3,X1,X4))).
% 121.60/15.72 cnf(i_0_39, negated_conjecture, (product(X1,X2,X3)|~product(X3,X2,X4)|~product(X2,X4,X1))).
% 121.60/15.72 cnf(i_0_65, 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))).
% 121.60/15.72 cnf(i_0_37, plain, (product(X1,e_5,X2)|product(X1,e_4,X2)|product(X1,e_3,X2)|product(X1,e_2,X2)|product(X1,e_1,X2)|~group_element(X2)|~group_element(X1))).
% 121.60/15.72 cnf(i_0_36, plain, (product(e_5,X1,X2)|product(e_4,X1,X2)|product(e_3,X1,X2)|product(e_2,X1,X2)|product(e_1,X1,X2)|~group_element(X2)|~group_element(X1))).
% 121.60/15.72 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 121.60/15.72 # Begin printing tableau
% 121.60/15.72 # Found 64 steps
% 121.60/15.72 cnf(i_0_38, negated_conjecture, (product(e_2,e_2,e_2)|~product(e_2,e_2,e_2)|~product(e_2,e_2,e_2)), inference(start_rule)).
% 121.60/15.72 cnf(i_0_75, plain, (~product(e_2,e_2,e_2)), inference(closure_rule, [i_0_69])).
% 121.60/15.72 cnf(i_0_76, plain, (~product(e_2,e_2,e_2)), inference(closure_rule, [i_0_69])).
% 121.60/15.72 cnf(i_0_74, plain, (product(e_2,e_2,e_2)), inference(extension_rule, [i_0_66])).
% 121.60/15.72 cnf(i_0_119, plain, (equalish(e_1,e_2)), inference(closure_rule, [i_0_45])).
% 121.60/15.72 cnf(i_0_121, plain, (~product(e_2,e_2,e_1)), inference(extension_rule, [i_0_37])).
% 121.60/15.72 cnf(i_0_179, plain, (~group_element(e_1)), inference(closure_rule, [i_0_40])).
% 121.60/15.72 cnf(i_0_180, plain, (~group_element(e_2)), inference(closure_rule, [i_0_41])).
% 121.60/15.72 cnf(i_0_174, plain, (product(e_2,e_5,e_1)), inference(extension_rule, [i_0_66])).
% 121.60/15.72 cnf(i_0_32584, plain, (equalish(e_2,e_1)), inference(closure_rule, [i_0_49])).
% 121.60/15.72 cnf(i_0_175, plain, (product(e_2,e_4,e_1)), inference(extension_rule, [i_0_67])).
% 121.60/15.72 cnf(i_0_67497, plain, (equalish(e_1,e_4)), inference(closure_rule, [i_0_47])).
% 121.60/15.72 cnf(i_0_176, plain, (product(e_2,e_3,e_1)), inference(extension_rule, [i_0_68])).
% 121.60/15.72 cnf(i_0_96718, plain, (equalish(e_1,e_2)), inference(closure_rule, [i_0_45])).
% 121.60/15.72 cnf(i_0_178, plain, (product(e_2,e_1,e_1)), inference(etableau_closure_rule, [i_0_178, ...])).
% 121.60/15.72 cnf(i_0_32586, plain, (~product(e_2,e_5,e_2)), inference(extension_rule, [i_0_36])).
% 121.60/15.72 cnf(i_0_716276, plain, (product(e_5,e_5,e_2)), inference(closure_rule, [i_0_210])).
% 121.60/15.72 cnf(i_0_716281, plain, (~group_element(e_2)), inference(closure_rule, [i_0_41])).
% 121.60/15.72 cnf(i_0_716282, plain, (~group_element(e_5)), inference(closure_rule, [i_0_44])).
% 121.60/15.72 cnf(i_0_716277, plain, (product(e_4,e_5,e_2)), inference(extension_rule, [i_0_66])).
% 121.60/15.72 cnf(i_0_716283, plain, (equalish(e_1,e_2)), inference(closure_rule, [i_0_45])).
% 121.60/15.72 cnf(i_0_716285, plain, (~product(e_4,e_5,e_1)), inference(extension_rule, [i_0_39])).
% 121.60/15.72 cnf(i_0_716293, plain, (~product(e_1,e_5,e_1)), inference(extension_rule, [i_0_38])).
% 121.60/15.72 cnf(i_0_739662, plain, (~product(e_2,e_1,e_5)), inference(closure_rule, [i_0_7230])).
% 121.60/15.72 cnf(i_0_716294, plain, (~product(e_5,e_1,e_4)), inference(extension_rule, [i_0_65])).
% 121.60/15.72 cnf(i_0_739670, plain, (product(e_5,e_1,e_5)), inference(closure_rule, [i_0_7312])).
% 121.60/15.72 cnf(i_0_739673, plain, (product(e_5,e_1,e_2)), inference(closure_rule, [i_0_209])).
% 121.60/15.72 cnf(i_0_739675, plain, (~group_element(e_1)), inference(closure_rule, [i_0_40])).
% 121.60/15.72 cnf(i_0_739676, plain, (~group_element(e_5)), inference(closure_rule, [i_0_44])).
% 121.60/15.72 cnf(i_0_716278, plain, (product(e_3,e_5,e_2)), inference(extension_rule, [i_0_67])).
% 121.60/15.72 cnf(i_0_739677, plain, (equalish(e_1,e_5)), inference(closure_rule, [i_0_48])).
% 121.60/15.72 cnf(i_0_739679, plain, (~product(e_3,e_1,e_2)), inference(extension_rule, [i_0_70])).
% 121.60/15.72 cnf(i_0_739684, plain, (~product(e_2,e_1,e_3)), inference(extension_rule, [i_0_37])).
% 121.60/15.72 cnf(i_0_739689, plain, (product(e_2,e_5,e_3)), inference(closure_rule, [i_0_186])).
% 121.60/15.72 cnf(i_0_739691, plain, (product(e_2,e_3,e_3)), inference(closure_rule, [i_0_10962])).
% 121.60/15.72 cnf(i_0_739692, plain, (product(e_2,e_2,e_3)), inference(closure_rule, [i_0_16036])).
% 121.60/15.72 cnf(i_0_739694, plain, (~group_element(e_3)), inference(closure_rule, [i_0_42])).
% 121.60/15.72 cnf(i_0_739695, plain, (~group_element(e_2)), inference(closure_rule, [i_0_41])).
% 121.60/15.72 cnf(i_0_739685, plain, (~product(e_1,e_2,e_2)), inference(extension_rule, [i_0_39])).
% 121.60/15.72 cnf(i_0_739711, plain, (~product(e_2,e_5,e_1)), inference(closure_rule, [i_0_174])).
% 121.60/15.72 cnf(i_0_716280, plain, (product(e_1,e_5,e_2)), inference(extension_rule, [i_0_66])).
% 121.60/15.72 cnf(i_0_739800, plain, (equalish(e_1,e_2)), inference(closure_rule, [i_0_45])).
% 121.60/15.72 cnf(i_0_739802, plain, (~product(e_1,e_5,e_1)), inference(extension_rule, [i_0_38])).
% 121.60/15.72 cnf(i_0_739811, plain, (~product(e_2,e_1,e_5)), inference(closure_rule, [i_0_7230])).
% 121.60/15.72 cnf(i_0_739812, plain, (~product(e_1,e_1,e_2)), inference(extension_rule, [i_0_36])).
% 121.60/15.72 cnf(i_0_739813, plain, (product(e_5,e_1,e_2)), inference(closure_rule, [i_0_209])).
% 121.60/15.72 cnf(i_0_739816, plain, (product(e_2,e_1,e_2)), inference(closure_rule, [i_0_7276])).
% 121.60/15.72 cnf(i_0_739818, plain, (~group_element(e_2)), inference(closure_rule, [i_0_41])).
% 121.60/15.72 cnf(i_0_739819, plain, (~group_element(e_1)), inference(closure_rule, [i_0_40])).
% 121.60/15.72 cnf(i_0_67499, plain, (~product(e_2,e_1,e_1)), inference(extension_rule, [i_0_65])).
% 121.60/15.72 cnf(i_0_739820, plain, (product(e_2,e_1,e_5)), inference(closure_rule, [i_0_37719])).
% 121.60/15.72 cnf(i_0_739822, plain, (product(e_2,e_1,e_3)), inference(closure_rule, [i_0_50423])).
% 121.60/15.72 cnf(i_0_739823, plain, (product(e_2,e_1,e_2)), inference(closure_rule, [i_0_51158])).
% 121.60/15.72 cnf(i_0_739825, plain, (~group_element(e_1)), inference(closure_rule, [i_0_40])).
% 121.60/15.72 cnf(i_0_739826, plain, (~group_element(e_2)), inference(closure_rule, [i_0_41])).
% 121.60/15.72 cnf(i_0_739821, plain, (product(e_2,e_1,e_4)), inference(extension_rule, [i_0_67])).
% 121.60/15.72 cnf(i_0_762822, plain, (equalish(e_2,e_1)), inference(closure_rule, [i_0_49])).
% 121.60/15.72 cnf(i_0_762824, plain, (~product(e_2,e_2,e_4)), inference(extension_rule, [i_0_70])).
% 121.60/15.72 cnf(i_0_762826, plain, (~product(e_2,e_2,e_2)), inference(closure_rule, [i_0_69])).
% 121.60/15.72 cnf(i_0_762827, plain, (~product(e_2,e_4,e_2)), inference(extension_rule, [i_0_39])).
% 121.60/15.72 cnf(i_0_762836, plain, (~product(e_2,e_4,e_1)), inference(closure_rule, [i_0_175])).
% 121.60/15.72 cnf(i_0_96720, plain, (~product(e_1,e_3,e_1)), inference(extension_rule, [i_0_37])).
% 121.60/15.72 cnf(i_0_762843, plain, (~group_element(e_1)), inference(closure_rule, [i_0_40])).
% 121.60/15.72 cnf(i_0_762844, plain, (~group_element(e_1)), inference(closure_rule, [i_0_40])).
% 121.60/15.72 # End printing tableau
% 121.60/15.72 # SZS output end
% 121.60/15.72 # Branches closed with saturation will be marked with an "s"
% 121.60/15.73 # Child (20250) has found a proof.
% 121.60/15.73
% 121.60/15.73 # Proof search is over...
% 121.60/15.73 # Freeing feature tree
%------------------------------------------------------------------------------