TSTP Solution File: GRP126-1.005 by Etableau---0.67
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : GRP126-1.005 : 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 09:04:42 EDT 2022
% Result : Satisfiable 84.54s 18.76s
% Output : CNFRefutation 84.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : GRP126-1.005 : TPTP v8.1.0. Released v1.2.0.
% 0.05/0.10 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.10/0.29 % Computer : n032.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 600
% 0.10/0.29 % DateTime : Tue Jun 14 03:11:12 EDT 2022
% 0.10/0.30 % CPUTime :
% 0.14/0.32 # No SInE strategy applied
% 0.14/0.32 # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.14/0.32 # and selection function SelectComplexExceptUniqMaxHorn.
% 0.14/0.32 #
% 0.14/0.32 # Presaturation interreduction done
% 0.14/0.32 # Number of axioms: 31 Number of unprocessed: 31
% 0.14/0.32 # Tableaux proof search.
% 0.14/0.32 # APR header successfully linked.
% 0.14/0.32 # Hello from C++
% 1.81/1.98 # The folding up rule is enabled...
% 1.81/1.98 # Local unification is enabled...
% 1.81/1.98 # Any saturation attempts will use folding labels...
% 1.81/1.98 # 31 beginning clauses after preprocessing and clausification
% 1.81/1.98 # Creating start rules for all 1 conjectures.
% 1.81/1.98 # There are 1 start rule candidates:
% 1.81/1.98 # Found 26 unit axioms.
% 1.81/1.98 # 1 start rule tableaux created.
% 1.81/1.98 # 5 extension rule candidate clauses
% 1.81/1.98 # 26 unit axiom clauses
% 1.81/1.98
% 1.81/1.98 # Requested 8, 32 cores available to the main process.
% 1.81/1.98 # There are not enough tableaux to fork, creating more from the initial 1
% 8.88/9.11 # Returning from population with 13 new_tableaux and 0 remaining starting tableaux.
% 8.88/9.11 # We now have 13 tableaux to operate on
% 54.46/14.97 # Ran out of tableaux, making start rules for all clauses
% 56.11/15.22 # Ran out of tableaux, making start rules for all clauses
% 84.54/18.76 # 28347 Satisfiable branch
% 84.54/18.76 # Satisfiable branch found.
% 84.54/18.76 # There were 47 total branch saturation attempts.
% 84.54/18.76 # There were 38 of these attempts blocked.
% 84.54/18.76 # There were 0 deferred branch saturation attempts.
% 84.54/18.76 # There were 0 free duplicated saturations.
% 84.54/18.76 # There were 2 total successful branch saturations.
% 84.54/18.76 # There were 0 successful branch saturations in interreduction.
% 84.54/18.76 # There were 0 successful branch saturations on the branch.
% 84.54/18.76 # There were 2 successful branch saturations after the branch.
% 84.54/18.76 # SZS status Satisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 84.54/18.76 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 84.54/18.76 # Begin clausification derivation
% 84.54/18.76
% 84.54/18.76 # End clausification derivation
% 84.54/18.76 # Begin listing active clauses obtained from FOF to CNF conversion
% 84.54/18.76 cnf(i_0_32, plain, (group_element(e_1))).
% 84.54/18.76 cnf(i_0_33, plain, (group_element(e_2))).
% 84.54/18.76 cnf(i_0_34, plain, (group_element(e_3))).
% 84.54/18.76 cnf(i_0_35, plain, (group_element(e_4))).
% 84.54/18.76 cnf(i_0_36, plain, (group_element(e_5))).
% 84.54/18.76 cnf(i_0_61, plain, (product(X1,X1,X1))).
% 84.54/18.76 cnf(i_0_37, plain, (~equalish(e_1,e_2))).
% 84.54/18.76 cnf(i_0_38, plain, (~equalish(e_1,e_3))).
% 84.54/18.76 cnf(i_0_39, plain, (~equalish(e_1,e_4))).
% 84.54/18.76 cnf(i_0_40, plain, (~equalish(e_1,e_5))).
% 84.54/18.76 cnf(i_0_41, plain, (~equalish(e_2,e_1))).
% 84.54/18.76 cnf(i_0_42, plain, (~equalish(e_2,e_3))).
% 84.54/18.76 cnf(i_0_43, plain, (~equalish(e_2,e_4))).
% 84.54/18.76 cnf(i_0_44, plain, (~equalish(e_2,e_5))).
% 84.54/18.76 cnf(i_0_45, plain, (~equalish(e_3,e_1))).
% 84.54/18.76 cnf(i_0_46, plain, (~equalish(e_3,e_2))).
% 84.54/18.76 cnf(i_0_47, plain, (~equalish(e_3,e_4))).
% 84.54/18.76 cnf(i_0_48, plain, (~equalish(e_3,e_5))).
% 84.54/18.76 cnf(i_0_49, plain, (~equalish(e_4,e_1))).
% 84.54/18.76 cnf(i_0_50, plain, (~equalish(e_4,e_2))).
% 84.54/18.76 cnf(i_0_51, plain, (~equalish(e_4,e_3))).
% 84.54/18.76 cnf(i_0_52, plain, (~equalish(e_4,e_5))).
% 84.54/18.76 cnf(i_0_53, plain, (~equalish(e_5,e_1))).
% 84.54/18.76 cnf(i_0_54, plain, (~equalish(e_5,e_2))).
% 84.54/18.76 cnf(i_0_55, plain, (~equalish(e_5,e_3))).
% 84.54/18.76 cnf(i_0_56, plain, (~equalish(e_5,e_4))).
% 84.54/18.76 cnf(i_0_58, plain, (equalish(X1,X2)|~product(X3,X4,X2)|~product(X3,X4,X1))).
% 84.54/18.76 cnf(i_0_59, plain, (equalish(X1,X2)|~product(X3,X2,X4)|~product(X3,X1,X4))).
% 84.54/18.76 cnf(i_0_60, plain, (equalish(X1,X2)|~product(X2,X3,X4)|~product(X1,X3,X4))).
% 84.54/18.76 cnf(i_0_62, negated_conjecture, (product(X1,X2,X3)|~product(X3,X4,X2)|~product(X4,X3,X1))).
% 84.54/18.76 cnf(i_0_57, 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))).
% 84.54/18.76 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 84.54/18.76 # Begin printing tableau
% 84.54/18.76 # Found 113 steps
% 84.54/18.76 cnf(i_0_62, 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)).
% 84.54/18.76 cnf(i_0_97, plain, (product(e_2,e_1,e_2)), inference(closure_rule, [i_0_0])).
% 84.54/18.76 cnf(i_0_64, plain, (~product(e_1,e_1,e_1)), inference(closure_rule, [i_0_61])).
% 84.54/18.76 cnf(i_0_65, plain, (~product(e_1,e_1,e_1)), inference(closure_rule, [i_0_61])).
% 84.54/18.76 cnf(i_0_63, plain, (product(e_1,e_1,e_1)), inference(extension_rule, [i_0_60])).
% 84.54/18.76 cnf(i_0_72, plain, (equalish(e_1,e_2)), inference(closure_rule, [i_0_37])).
% 84.54/18.76 cnf(i_0_73, plain, (~product(e_2,e_1,e_1)), inference(extension_rule, [i_0_57])).
% 84.54/18.76 cnf(i_0_99, plain, (~group_element(e_1)), inference(closure_rule, [i_0_32])).
% 84.54/18.76 cnf(i_0_100, plain, (~group_element(e_2)), inference(closure_rule, [i_0_33])).
% 84.54/18.76 cnf(i_0_94, plain, (product(e_2,e_1,e_5)), inference(extension_rule, [i_0_59])).
% 84.54/18.76 cnf(i_0_634102, plain, (equalish(e_2,e_1)), inference(closure_rule, [i_0_41])).
% 84.54/18.76 cnf(i_0_634104, plain, (~product(e_2,e_2,e_5)), inference(extension_rule, [i_0_62])).
% 84.54/18.76 cnf(i_0_1054840, plain, (~product(e_5,e_1,e_2)), inference(extension_rule, [i_0_57])).
% 84.54/18.76 cnf(i_0_1054847, plain, (~group_element(e_1)), inference(closure_rule, [i_0_32])).
% 84.54/18.76 cnf(i_0_1054848, plain, (~group_element(e_5)), inference(closure_rule, [i_0_36])).
% 84.54/18.76 cnf(i_0_1054842, plain, (product(e_5,e_1,e_5)), inference(extension_rule, [i_0_60])).
% 84.54/18.76 cnf(i_0_1054849, plain, (equalish(e_1,e_5)), inference(closure_rule, [i_0_40])).
% 84.54/18.76 cnf(i_0_1054851, plain, (~product(e_1,e_1,e_5)), inference(extension_rule, [i_0_62])).
% 84.54/18.76 cnf(i_0_1054843, plain, (product(e_5,e_1,e_4)), inference(extension_rule, [i_0_59])).
% 84.54/18.76 cnf(i_0_1054861, plain, (equalish(e_2,e_1)), inference(closure_rule, [i_0_41])).
% 84.54/18.76 cnf(i_0_1054863, plain, (~product(e_5,e_2,e_4)), inference(extension_rule, [i_0_57])).
% 84.54/18.76 cnf(i_0_1054872, plain, (~group_element(e_2)), inference(closure_rule, [i_0_33])).
% 84.54/18.76 cnf(i_0_1054873, plain, (~group_element(e_5)), inference(closure_rule, [i_0_36])).
% 84.54/18.76 cnf(i_0_1054844, plain, (product(e_5,e_1,e_3)), inference(extension_rule, [i_0_58])).
% 84.54/18.76 cnf(i_0_1054874, plain, (equalish(e_1,e_3)), inference(closure_rule, [i_0_38])).
% 84.54/18.76 cnf(i_0_1054876, plain, (~product(e_5,e_1,e_1)), inference(extension_rule, [i_0_62])).
% 84.54/18.76 cnf(i_0_1054881, plain, (~product(e_1,e_1,e_1)), inference(closure_rule, [i_0_61])).
% 84.54/18.76 cnf(i_0_1054846, plain, (product(e_5,e_1,e_1)), inference(extension_rule, [i_0_60])).
% 84.54/18.76 cnf(i_0_1054883, plain, (equalish(e_1,e_5)), inference(closure_rule, [i_0_40])).
% 84.54/18.76 cnf(i_0_1054885, plain, (~product(e_1,e_1,e_1)), inference(closure_rule, [i_0_61])).
% 84.54/18.76 cnf(i_0_1054841, plain, (~product(e_1,e_5,e_2)), inference(extension_rule, [i_0_57])).
% 84.54/18.76 cnf(i_0_1054894, plain, (~group_element(e_5)), inference(closure_rule, [i_0_36])).
% 84.54/18.76 cnf(i_0_1054895, plain, (~group_element(e_1)), inference(closure_rule, [i_0_32])).
% 84.54/18.76 cnf(i_0_1054889, plain, (product(e_1,e_5,e_5)), inference(extension_rule, [i_0_59])).
% 84.54/18.76 cnf(i_0_1054896, plain, (equalish(e_1,e_5)), inference(closure_rule, [i_0_40])).
% 84.54/18.76 cnf(i_0_1054898, plain, (~product(e_1,e_1,e_5)), inference(extension_rule, [i_0_62])).
% 84.54/18.76 cnf(i_0_1054890, plain, (product(e_1,e_5,e_4)), inference(extension_rule, [i_0_58])).
% 84.54/18.76 cnf(i_0_1054905, plain, (equalish(e_1,e_4)), inference(closure_rule, [i_0_39])).
% 84.54/18.76 cnf(i_0_1054907, plain, (~product(e_1,e_5,e_1)), inference(extension_rule, [i_0_62])).
% 84.54/18.76 cnf(i_0_1054923, plain, (~product(e_1,e_1,e_1)), inference(closure_rule, [i_0_61])).
% 84.54/18.76 cnf(i_0_1054891, plain, (product(e_1,e_5,e_3)), inference(extension_rule, [i_0_60])).
% 84.54/18.76 cnf(i_0_1054924, plain, (equalish(e_2,e_1)), inference(closure_rule, [i_0_41])).
% 84.54/18.76 cnf(i_0_1054926, plain, (~product(e_2,e_5,e_3)), inference(extension_rule, [i_0_57])).
% 84.54/18.76 cnf(i_0_1054932, plain, (~group_element(e_5)), inference(closure_rule, [i_0_36])).
% 84.54/18.76 cnf(i_0_1054933, plain, (~group_element(e_2)), inference(closure_rule, [i_0_33])).
% 84.54/18.76 cnf(i_0_1054893, plain, (product(e_1,e_5,e_1)), inference(extension_rule, [i_0_59])).
% 84.54/18.76 cnf(i_0_1054934, plain, (equalish(e_1,e_5)), inference(closure_rule, [i_0_40])).
% 84.54/18.76 cnf(i_0_1054936, plain, (~product(e_1,e_1,e_1)), inference(closure_rule, [i_0_61])).
% 84.54/18.76 cnf(i_0_96, plain, (product(e_2,e_1,e_3)), inference(extension_rule, [i_0_62])).
% 84.54/18.76 cnf(i_0_1054978, plain, (product(e_2,e_3,e_2)), inference(extension_rule, [i_0_60])).
% 84.54/18.76 cnf(i_0_1054981, plain, (equalish(e_1,e_2)), inference(closure_rule, [i_0_37])).
% 84.54/18.76 cnf(i_0_1054983, plain, (~product(e_1,e_3,e_2)), inference(extension_rule, [i_0_57])).
% 84.54/18.76 cnf(i_0_1054989, plain, (~group_element(e_3)), inference(closure_rule, [i_0_34])).
% 84.54/18.76 cnf(i_0_1054990, plain, (~group_element(e_1)), inference(closure_rule, [i_0_32])).
% 84.54/18.76 cnf(i_0_1054984, plain, (product(e_1,e_3,e_5)), inference(extension_rule, [i_0_59])).
% 84.54/18.76 cnf(i_0_1054991, plain, (equalish(e_1,e_3)), inference(closure_rule, [i_0_38])).
% 84.54/18.76 cnf(i_0_1054993, plain, (~product(e_1,e_1,e_5)), inference(extension_rule, [i_0_62])).
% 84.54/18.76 cnf(i_0_1054985, plain, (product(e_1,e_3,e_4)), inference(extension_rule, [i_0_58])).
% 84.54/18.76 cnf(i_0_1055000, plain, (equalish(e_1,e_4)), inference(closure_rule, [i_0_39])).
% 84.54/18.76 cnf(i_0_1055002, plain, (~product(e_1,e_3,e_1)), inference(extension_rule, [i_0_62])).
% 84.54/18.76 cnf(i_0_1055018, plain, (~product(e_1,e_1,e_1)), inference(closure_rule, [i_0_61])).
% 84.54/18.76 cnf(i_0_1054986, plain, (product(e_1,e_3,e_3)), inference(extension_rule, [i_0_60])).
% 84.54/18.76 cnf(i_0_1055019, plain, (equalish(e_2,e_1)), inference(closure_rule, [i_0_41])).
% 84.54/18.76 cnf(i_0_1055021, plain, (~product(e_2,e_3,e_3)), inference(extension_rule, [i_0_62])).
% 84.54/18.76 cnf(i_0_1055036, plain, (~product(e_3,e_3,e_3)), inference(closure_rule, [i_0_61])).
% 84.54/18.76 cnf(i_0_1054988, plain, (product(e_1,e_3,e_1)), inference(extension_rule, [i_0_59])).
% 84.54/18.76 cnf(i_0_1055045, plain, (equalish(e_1,e_3)), inference(closure_rule, [i_0_38])).
% 84.54/18.76 cnf(i_0_1055047, plain, (~product(e_1,e_1,e_1)), inference(closure_rule, [i_0_61])).
% 84.54/18.76 cnf(i_0_1054980, plain, (~product(e_1,e_2,e_2)), inference(extension_rule, [i_0_57])).
% 84.54/18.76 cnf(i_0_1055053, plain, (~group_element(e_2)), inference(closure_rule, [i_0_33])).
% 84.54/18.76 cnf(i_0_1055054, plain, (~group_element(e_1)), inference(closure_rule, [i_0_32])).
% 84.54/18.76 cnf(i_0_1055048, plain, (product(e_1,e_2,e_5)), inference(extension_rule, [i_0_58])).
% 84.54/18.76 cnf(i_0_1055055, plain, (equalish(e_1,e_5)), inference(closure_rule, [i_0_40])).
% 84.54/18.76 cnf(i_0_1055057, plain, (~product(e_1,e_2,e_1)), inference(extension_rule, [i_0_62])).
% 84.54/18.76 cnf(i_0_1055063, plain, (~product(e_1,e_1,e_1)), inference(closure_rule, [i_0_61])).
% 84.54/18.76 cnf(i_0_1055062, plain, (~product(e_1,e_1,e_2)), inference(extension_rule, [i_0_62])).
% 84.54/18.76 cnf(i_0_1055049, plain, (product(e_1,e_2,e_4)), inference(extension_rule, [i_0_60])).
% 84.54/18.76 cnf(i_0_1055083, plain, (equalish(e_2,e_1)), inference(closure_rule, [i_0_41])).
% 84.54/18.76 cnf(i_0_1055085, plain, (~product(e_2,e_2,e_4)), inference(extension_rule, [i_0_57])).
% 84.54/18.76 cnf(i_0_1055094, plain, (~group_element(e_2)), inference(closure_rule, [i_0_33])).
% 84.54/18.76 cnf(i_0_1055095, plain, (~group_element(e_2)), inference(closure_rule, [i_0_33])).
% 84.54/18.76 cnf(i_0_1055089, plain, (product(e_2,e_2,e_5)), inference(extension_rule, [i_0_59])).
% 84.54/18.76 cnf(i_0_1055096, plain, (equalish(e_1,e_2)), inference(closure_rule, [i_0_37])).
% 84.54/18.76 cnf(i_0_1055091, plain, (product(e_2,e_2,e_3)), inference(extension_rule, [i_0_58])).
% 84.54/18.76 cnf(i_0_1055099, plain, (equalish(e_1,e_3)), inference(closure_rule, [i_0_38])).
% 84.54/18.76 cnf(i_0_1055092, plain, (product(e_2,e_2,e_2)), inference(extension_rule, [i_0_62])).
% 84.54/18.76 cnf(i_0_1055102, plain, (product(e_1,e_2,e_2)), inference(closure_rule, [i_0_1054980])).
% 84.54/18.76 cnf(i_0_1055093, plain, (product(e_2,e_2,e_1)), inference(extension_rule, [i_0_60])).
% 84.54/18.76 cnf(i_0_1055105, plain, (equalish(e_1,e_2)), inference(closure_rule, [i_0_37])).
% 84.54/18.76 cnf(i_0_1055050, plain, (product(e_1,e_2,e_3)), inference(extension_rule, [i_0_59])).
% 84.54/18.76 cnf(i_0_1055115, plain, (equalish(e_1,e_2)), inference(closure_rule, [i_0_37])).
% 84.54/18.76 cnf(i_0_1055117, plain, (~product(e_1,e_1,e_3)), inference(extension_rule, [i_0_62])).
% 84.54/18.76 cnf(i_0_1055129, plain, (~product(e_3,e_1,e_1)), inference(extension_rule, [i_0_57])).
% 84.54/18.76 cnf(i_0_1055136, plain, (~group_element(e_1)), inference(closure_rule, [i_0_32])).
% 84.54/18.76 cnf(i_0_1055137, plain, (~group_element(e_3)), inference(closure_rule, [i_0_34])).
% 84.54/18.76 cnf(i_0_1055130, plain, (~product(e_1,e_3,e_1)), inference(extension_rule, [i_0_62])).
% 84.54/18.76 cnf(i_0_1055052, plain, (product(e_1,e_2,e_1)), inference(extension_rule, [i_0_60])).
% 84.54/18.76 cnf(i_0_1055191, plain, (equalish(e_2,e_1)), inference(closure_rule, [i_0_41])).
% 84.54/18.76 cnf(i_0_1055193, plain, (~product(e_2,e_2,e_1)), inference(extension_rule, [i_0_57])).
% 84.54/18.76 cnf(i_0_1055202, plain, (~group_element(e_2)), inference(closure_rule, [i_0_33])).
% 84.54/18.76 cnf(i_0_1055203, plain, (~group_element(e_2)), inference(closure_rule, [i_0_33])).
% 84.54/18.76 cnf(i_0_1055197, plain, (product(e_2,e_2,e_5)), inference(extension_rule, [i_0_59])).
% 84.54/18.76 cnf(i_0_1055204, plain, (equalish(e_1,e_2)), inference(closure_rule, [i_0_37])).
% 84.54/18.76 cnf(i_0_1055198, plain, (product(e_2,e_2,e_4)), inference(extension_rule, [i_0_62])).
% 84.54/18.76 cnf(i_0_1055209, plain, (~product(e_2,e_2,e_2)), inference(closure_rule, [i_0_61])).
% 84.54/18.76 cnf(i_0_1055199, plain, (product(e_2,e_2,e_3)), inference(extension_rule, [i_0_58])).
% 84.54/18.76 cnf(i_0_1055212, plain, (~product(e_2,e_2,e_2)), inference(closure_rule, [i_0_61])).
% 84.54/18.76 cnf(i_0_1055210, plain, (equalish(e_2,e_3)), inference(closure_rule, [i_0_42])).
% 84.54/18.76 cnf(i_0_1055200, plain, (product(e_2,e_2,e_2)), inference(extension_rule, [i_0_60])).
% 84.54/18.76 cnf(i_0_1055215, plain, (~product(e_2,e_2,e_2)), inference(closure_rule, [i_0_61])).
% 84.54/18.76 cnf(i_0_95, plain, (product(e_2,e_1,e_4)), inference(extension_rule, [i_0_59])).
% 84.54/18.76 cnf(i_0_1055223, plain, (equalish(e_2,e_1)), inference(closure_rule, [i_0_41])).
% 84.54/18.76 cnf(i_0_1054867, plain, (product(e_5,e_2,e_5)), inference(etableau_closure_rule, [i_0_1054867, ...])).
% 84.54/18.76 # End printing tableau
% 84.54/18.76 # SZS output end
% 84.54/18.76 # Branches closed with saturation will be marked with an "s"
% 84.54/18.80 # Child (28347) has found a proof.
% 84.54/18.80
% 84.54/18.80 # Proof search is over...
% 84.54/18.80 # Freeing feature tree
%------------------------------------------------------------------------------