TSTP Solution File: GRP123-1.005 by Etableau---0.67
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- Process Solution
%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : GRP123-1.005 : 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 : n010.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 09:04:30 EDT 2022
% Result : Satisfiable 216.37s 27.49s
% Output : CNFRefutation 216.37s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP123-1.005 : TPTP v8.1.0. Released v1.2.0.
% 0.03/0.12 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.12/0.33 % Computer : n010.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jun 14 13:17:54 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.36 # No SInE strategy applied
% 0.12/0.36 # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.12/0.36 # and selection function SelectComplexExceptUniqMaxHorn.
% 0.12/0.36 #
% 0.12/0.36 # Presaturation interreduction done
% 0.12/0.36 # Number of axioms: 32 Number of unprocessed: 32
% 0.12/0.36 # Tableaux proof search.
% 0.12/0.36 # APR header successfully linked.
% 0.12/0.36 # Hello from C++
% 0.12/0.37 # The folding up rule is enabled...
% 0.12/0.37 # Local unification is enabled...
% 0.12/0.37 # Any saturation attempts will use folding labels...
% 0.12/0.37 # 32 beginning clauses after preprocessing and clausification
% 0.12/0.37 # Creating start rules for all 2 conjectures.
% 0.12/0.37 # There are 2 start rule candidates:
% 0.12/0.37 # Found 26 unit axioms.
% 0.12/0.37 # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.12/0.37 # 2 start rule tableaux created.
% 0.12/0.37 # 6 extension rule candidate clauses
% 0.12/0.37 # 26 unit axiom clauses
% 0.12/0.37
% 0.12/0.37 # Requested 8, 32 cores available to the main process.
% 0.12/0.37 # There are not enough tableaux to fork, creating more from the initial 2
% 0.12/0.37 # Returning from population with 8 new_tableaux and 0 remaining starting tableaux.
% 0.12/0.37 # We now have 8 tableaux to operate on
% 215.95/27.48 # 28755 Satisfiable branch
% 216.37/27.49 # Satisfiable branch found.
% 216.37/27.49 # There were 23 total branch saturation attempts.
% 216.37/27.49 # There were 0 of these attempts blocked.
% 216.37/27.49 # There were 0 deferred branch saturation attempts.
% 216.37/27.49 # There were 0 free duplicated saturations.
% 216.37/27.49 # There were 18 total successful branch saturations.
% 216.37/27.49 # There were 4 successful branch saturations in interreduction.
% 216.37/27.49 # There were 0 successful branch saturations on the branch.
% 216.37/27.49 # There were 14 successful branch saturations after the branch.
% 216.37/27.49 # SZS status Satisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 216.37/27.49 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p
% 216.37/27.49 # Begin clausification derivation
% 216.37/27.49
% 216.37/27.49 # End clausification derivation
% 216.37/27.49 # Begin listing active clauses obtained from FOF to CNF conversion
% 216.37/27.49 cnf(i_0_33, plain, (group_element(e_1))).
% 216.37/27.49 cnf(i_0_34, plain, (group_element(e_2))).
% 216.37/27.49 cnf(i_0_35, plain, (group_element(e_3))).
% 216.37/27.49 cnf(i_0_36, plain, (group_element(e_4))).
% 216.37/27.49 cnf(i_0_37, plain, (group_element(e_5))).
% 216.37/27.49 cnf(i_0_62, plain, (product(X1,X1,X1))).
% 216.37/27.49 cnf(i_0_38, plain, (~equalish(e_1,e_2))).
% 216.37/27.49 cnf(i_0_39, plain, (~equalish(e_1,e_3))).
% 216.37/27.49 cnf(i_0_40, plain, (~equalish(e_1,e_4))).
% 216.37/27.49 cnf(i_0_41, plain, (~equalish(e_1,e_5))).
% 216.37/27.49 cnf(i_0_42, plain, (~equalish(e_2,e_1))).
% 216.37/27.49 cnf(i_0_43, plain, (~equalish(e_2,e_3))).
% 216.37/27.49 cnf(i_0_44, plain, (~equalish(e_2,e_4))).
% 216.37/27.49 cnf(i_0_45, plain, (~equalish(e_2,e_5))).
% 216.37/27.49 cnf(i_0_46, plain, (~equalish(e_3,e_1))).
% 216.37/27.49 cnf(i_0_47, plain, (~equalish(e_3,e_2))).
% 216.37/27.49 cnf(i_0_48, plain, (~equalish(e_3,e_4))).
% 216.37/27.49 cnf(i_0_49, plain, (~equalish(e_3,e_5))).
% 216.37/27.49 cnf(i_0_50, plain, (~equalish(e_4,e_1))).
% 216.37/27.49 cnf(i_0_51, plain, (~equalish(e_4,e_2))).
% 216.37/27.49 cnf(i_0_52, plain, (~equalish(e_4,e_3))).
% 216.37/27.49 cnf(i_0_53, plain, (~equalish(e_4,e_5))).
% 216.37/27.49 cnf(i_0_54, plain, (~equalish(e_5,e_1))).
% 216.37/27.49 cnf(i_0_55, plain, (~equalish(e_5,e_2))).
% 216.37/27.49 cnf(i_0_56, plain, (~equalish(e_5,e_3))).
% 216.37/27.49 cnf(i_0_57, plain, (~equalish(e_5,e_4))).
% 216.37/27.49 cnf(i_0_59, plain, (equalish(X1,X2)|~product(X3,X4,X2)|~product(X3,X4,X1))).
% 216.37/27.49 cnf(i_0_60, plain, (equalish(X1,X2)|~product(X3,X2,X4)|~product(X3,X1,X4))).
% 216.37/27.49 cnf(i_0_61, plain, (equalish(X1,X2)|~product(X2,X3,X4)|~product(X1,X3,X4))).
% 216.37/27.49 cnf(i_0_64, negated_conjecture, (equalish(X1,X2)|~product(X3,X2,X4)|~product(X3,X1,X5)|~product(X4,X2,X6)|~product(X5,X1,X6))).
% 216.37/27.49 cnf(i_0_63, negated_conjecture, (equalish(X1,X2)|~product(X3,X4,X2)|~product(X3,X5,X1)|~product(X2,X4,X6)|~product(X1,X5,X6))).
% 216.37/27.49 cnf(i_0_58, 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))).
% 216.37/27.49 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 216.37/27.49 # Begin printing tableau
% 216.37/27.49 # Found 199 steps
% 216.37/27.49 cnf(i_0_64, negated_conjecture, (equalish(e_1,e_2)|~product(e_2,e_2,e_2)|~product(e_2,e_1,e_4)|~product(e_2,e_2,e_2)|~product(e_4,e_1,e_2)), inference(start_rule)).
% 216.37/27.49 cnf(i_0_90626, plain, (product(e_5,e_1,e_5)), inference(closure_rule, [i_0_0])).
% 216.37/27.49 cnf(i_0_70, plain, (equalish(e_1,e_2)), inference(closure_rule, [i_0_38])).
% 216.37/27.49 cnf(i_0_71, plain, (~product(e_2,e_2,e_2)), inference(closure_rule, [i_0_62])).
% 216.37/27.49 cnf(i_0_73, plain, (~product(e_2,e_2,e_2)), inference(closure_rule, [i_0_62])).
% 216.37/27.49 cnf(i_0_72, plain, (~product(e_2,e_1,e_4)), inference(extension_rule, [i_0_58])).
% 216.37/27.49 cnf(i_0_141, plain, (~group_element(e_1)), inference(closure_rule, [i_0_33])).
% 216.37/27.49 cnf(i_0_142, plain, (~group_element(e_2)), inference(closure_rule, [i_0_34])).
% 216.37/27.49 cnf(i_0_138, plain, (product(e_2,e_1,e_3)), inference(extension_rule, [i_0_60])).
% 216.37/27.49 cnf(i_0_90490, plain, (equalish(e_2,e_1)), inference(closure_rule, [i_0_42])).
% 216.37/27.49 cnf(i_0_90492, plain, (~product(e_2,e_2,e_3)), inference(extension_rule, [i_0_58])).
% 216.37/27.49 cnf(i_0_90501, plain, (~group_element(e_2)), inference(closure_rule, [i_0_34])).
% 216.37/27.49 cnf(i_0_90502, plain, (~group_element(e_2)), inference(closure_rule, [i_0_34])).
% 216.37/27.49 cnf(i_0_139, plain, (product(e_2,e_1,e_2)), inference(extension_rule, [i_0_61])).
% 216.37/27.49 cnf(i_0_90503, plain, (equalish(e_1,e_2)), inference(closure_rule, [i_0_38])).
% 216.37/27.49 cnf(i_0_90505, plain, (~product(e_1,e_1,e_2)), inference(extension_rule, [i_0_58])).
% 216.37/27.49 cnf(i_0_90527, plain, (~group_element(e_1)), inference(closure_rule, [i_0_33])).
% 216.37/27.49 cnf(i_0_90528, plain, (~group_element(e_1)), inference(closure_rule, [i_0_33])).
% 216.37/27.49 cnf(i_0_140, plain, (product(e_2,e_1,e_1)), inference(extension_rule, [i_0_63])).
% 216.37/27.49 cnf(i_0_90529, plain, (equalish(e_2,e_1)), inference(closure_rule, [i_0_42])).
% 216.37/27.49 cnf(i_0_90531, plain, (~product(e_2,e_2,e_2)), inference(closure_rule, [i_0_62])).
% 216.37/27.49 cnf(i_0_90533, plain, (~product(e_2,e_2,e_2)), inference(extension_rule, [i_0_58])).
% 216.37/27.49 cnf(i_0_90579, plain, (~group_element(e_2)), inference(closure_rule, [i_0_34])).
% 216.37/27.49 cnf(i_0_90580, plain, (~group_element(e_2)), inference(closure_rule, [i_0_34])).
% 216.37/27.49 cnf(i_0_90532, plain, (~product(e_1,e_1,e_2)), inference(extension_rule, [i_0_58])).
% 216.37/27.49 cnf(i_0_90605, plain, (~group_element(e_1)), inference(closure_rule, [i_0_33])).
% 216.37/27.49 cnf(i_0_90606, plain, (~group_element(e_1)), inference(closure_rule, [i_0_33])).
% 216.37/27.49 cnf(i_0_136, plain, (product(e_2,e_1,e_5)), inference(extension_rule, [i_0_64])).
% 216.37/27.49 cnf(i_0_90607, plain, (equalish(e_2,e_1)), inference(closure_rule, [i_0_42])).
% 216.37/27.49 cnf(i_0_90609, plain, (~product(e_2,e_2,e_2)), inference(closure_rule, [i_0_62])).
% 216.37/27.49 cnf(i_0_90611, plain, (~product(e_2,e_2,e_2)), inference(closure_rule, [i_0_62])).
% 216.37/27.49 cnf(i_0_90610, plain, (~product(e_5,e_1,e_2)), inference(extension_rule, [i_0_58])).
% 216.37/27.49 cnf(i_0_90631, plain, (~group_element(e_1)), inference(closure_rule, [i_0_33])).
% 216.37/27.49 cnf(i_0_90632, plain, (~group_element(e_5)), inference(closure_rule, [i_0_37])).
% 216.37/27.49 cnf(i_0_74, plain, (~product(e_4,e_1,e_2)), inference(extension_rule, [i_0_58])).
% 216.37/27.49 cnf(i_0_90657, plain, (~group_element(e_1)), inference(closure_rule, [i_0_33])).
% 216.37/27.49 cnf(i_0_90658, plain, (~group_element(e_4)), inference(closure_rule, [i_0_36])).
% 216.37/27.49 cnf(i_0_90496, plain, (product(e_2,e_2,e_5)), inference(etableau_closure_rule, [i_0_90496, ...])).
% 216.37/27.49 cnf(i_0_90497, plain, (product(e_2,e_2,e_4)), inference(etableau_closure_rule, [i_0_90497, ...])).
% 216.37/27.49 cnf(i_0_90653, plain, (product(e_4,e_1,e_4)), inference(extension_rule, [i_0_60])).
% 216.37/27.49 cnf(i_0_175691, plain, (equalish(e_2,e_1)), inference(closure_rule, [i_0_42])).
% 216.37/27.49 cnf(i_0_175693, plain, (~product(e_4,e_2,e_4)), inference(extension_rule, [i_0_58])).
% 216.37/27.49 cnf(i_0_175712, plain, (~group_element(e_2)), inference(closure_rule, [i_0_34])).
% 216.37/27.49 cnf(i_0_175713, plain, (~group_element(e_4)), inference(closure_rule, [i_0_36])).
% 216.37/27.49 cnf(i_0_90654, plain, (product(e_4,e_1,e_3)), inference(extension_rule, [i_0_61])).
% 216.37/27.49 cnf(i_0_175714, plain, (equalish(e_1,e_4)), inference(closure_rule, [i_0_40])).
% 216.37/27.49 cnf(i_0_175716, plain, (~product(e_1,e_1,e_3)), inference(extension_rule, [i_0_58])).
% 216.37/27.49 cnf(i_0_175738, plain, (~group_element(e_1)), inference(closure_rule, [i_0_33])).
% 216.37/27.49 cnf(i_0_175739, plain, (~group_element(e_1)), inference(closure_rule, [i_0_33])).
% 216.37/27.49 cnf(i_0_90656, plain, (product(e_4,e_1,e_1)), inference(extension_rule, [i_0_63])).
% 216.37/27.49 cnf(i_0_175740, plain, (equalish(e_2,e_1)), inference(closure_rule, [i_0_42])).
% 216.37/27.49 cnf(i_0_175743, plain, (~product(e_1,e_1,e_1)), inference(closure_rule, [i_0_62])).
% 216.37/27.49 cnf(i_0_175742, plain, (~product(e_4,X5,e_2)), inference(extension_rule, [i_0_58])).
% 216.37/27.49 cnf(i_0_175765, plain, (~group_element(e_4)), inference(closure_rule, [i_0_36])).
% 216.37/27.49 cnf(i_0_175744, plain, (~product(e_2,X5,e_1)), inference(extension_rule, [i_0_58])).
% 216.37/27.49 cnf(i_0_175791, plain, (~group_element(e_2)), inference(closure_rule, [i_0_34])).
% 216.37/27.49 cnf(i_0_90652, plain, (product(e_4,e_1,e_5)), inference(extension_rule, [i_0_64])).
% 216.37/27.49 cnf(i_0_175792, plain, (equalish(e_2,e_1)), inference(closure_rule, [i_0_42])).
% 216.37/27.49 cnf(i_0_175796, plain, (~product(e_2,e_2,e_2)), inference(closure_rule, [i_0_62])).
% 216.37/27.49 cnf(i_0_175794, plain, (~product(e_4,e_2,e_2)), inference(extension_rule, [i_0_58])).
% 216.37/27.49 cnf(i_0_175816, plain, (~group_element(e_2)), inference(closure_rule, [i_0_34])).
% 216.37/27.49 cnf(i_0_175817, plain, (~group_element(e_4)), inference(closure_rule, [i_0_36])).
% 216.37/27.49 cnf(i_0_175795, plain, (~product(e_5,e_1,e_2)), inference(extension_rule, [i_0_58])).
% 216.37/27.49 cnf(i_0_175842, plain, (~group_element(e_1)), inference(closure_rule, [i_0_33])).
% 216.37/27.49 cnf(i_0_175843, plain, (~group_element(e_5)), inference(closure_rule, [i_0_37])).
% 216.37/27.49 cnf(i_0_90627, plain, (product(e_5,e_1,e_4)), inference(extension_rule, [i_0_60])).
% 216.37/27.49 cnf(i_0_192830, plain, (equalish(e_2,e_1)), inference(closure_rule, [i_0_42])).
% 216.37/27.49 cnf(i_0_192832, plain, (~product(e_5,e_2,e_4)), inference(extension_rule, [i_0_58])).
% 216.37/27.49 cnf(i_0_192851, plain, (~group_element(e_2)), inference(closure_rule, [i_0_34])).
% 216.37/27.49 cnf(i_0_192852, plain, (~group_element(e_5)), inference(closure_rule, [i_0_37])).
% 216.37/27.49 cnf(i_0_192846, plain, (product(e_5,e_2,e_5)), inference(extension_rule, [i_0_61])).
% 216.37/27.49 cnf(i_0_192853, plain, (equalish(e_1,e_5)), inference(closure_rule, [i_0_41])).
% 216.37/27.49 cnf(i_0_192855, plain, (~product(e_1,e_2,e_5)), inference(extension_rule, [i_0_58])).
% 216.37/27.49 cnf(i_0_267070, plain, (~group_element(e_2)), inference(closure_rule, [i_0_34])).
% 216.37/27.49 cnf(i_0_267071, plain, (~group_element(e_1)), inference(closure_rule, [i_0_33])).
% 216.37/27.49 cnf(i_0_192848, plain, (product(e_5,e_2,e_3)), inference(extension_rule, [i_0_64])).
% 216.37/27.49 cnf(i_0_267072, plain, (equalish(e_1,e_2)), inference(closure_rule, [i_0_38])).
% 216.37/27.49 cnf(i_0_267074, plain, (~product(e_5,e_1,e_4)), inference(closure_rule, [i_0_90627])).
% 216.37/27.49 cnf(i_0_267075, plain, (~product(e_3,e_2,e_5)), inference(extension_rule, [i_0_58])).
% 216.37/27.49 cnf(i_0_267096, plain, (~group_element(e_2)), inference(closure_rule, [i_0_34])).
% 216.37/27.49 cnf(i_0_267097, plain, (~group_element(e_3)), inference(closure_rule, [i_0_35])).
% 216.37/27.49 cnf(i_0_267076, plain, (~product(e_4,e_1,e_5)), inference(extension_rule, [i_0_58])).
% 216.37/27.49 cnf(i_0_267122, plain, (~group_element(e_1)), inference(closure_rule, [i_0_33])).
% 216.37/27.49 cnf(i_0_267123, plain, (~group_element(e_4)), inference(closure_rule, [i_0_36])).
% 216.37/27.49 cnf(i_0_192849, plain, (product(e_5,e_2,e_2)), inference(extension_rule, [i_0_63])).
% 216.37/27.49 cnf(i_0_267124, plain, (equalish(e_1,e_2)), inference(closure_rule, [i_0_38])).
% 216.37/27.49 cnf(i_0_267127, plain, (~product(e_2,e_2,e_2)), inference(closure_rule, [i_0_62])).
% 216.37/27.49 cnf(i_0_267126, plain, (~product(e_5,X6,e_1)), inference(extension_rule, [i_0_58])).
% 216.37/27.49 cnf(i_0_267149, plain, (~group_element(e_5)), inference(closure_rule, [i_0_37])).
% 216.37/27.49 cnf(i_0_267128, plain, (~product(e_1,X6,e_2)), inference(extension_rule, [i_0_58])).
% 216.37/27.49 cnf(i_0_267175, plain, (~group_element(e_1)), inference(closure_rule, [i_0_33])).
% 216.37/27.49 cnf(i_0_192850, plain, (product(e_5,e_2,e_1)), inference(extension_rule, [i_0_61])).
% 216.37/27.49 cnf(i_0_267286, plain, (equalish(e_1,e_5)), inference(closure_rule, [i_0_41])).
% 216.37/27.49 cnf(i_0_267288, plain, (~product(e_1,e_2,e_1)), inference(extension_rule, [i_0_58])).
% 216.37/27.49 cnf(i_0_267304, plain, (~group_element(e_2)), inference(closure_rule, [i_0_34])).
% 216.37/27.49 cnf(i_0_267305, plain, (~group_element(e_1)), inference(closure_rule, [i_0_33])).
% 216.37/27.49 cnf(i_0_90628, plain, (product(e_5,e_1,e_3)), inference(extension_rule, [i_0_64])).
% 216.37/27.49 cnf(i_0_267306, plain, (equalish(e_2,e_1)), inference(closure_rule, [i_0_42])).
% 216.37/27.49 cnf(i_0_267310, plain, (~product(e_2,e_2,e_2)), inference(closure_rule, [i_0_62])).
% 216.37/27.49 cnf(i_0_90630, plain, (product(e_5,e_1,e_1)), inference(etableau_closure_rule, [i_0_90630, ...])).
% 216.37/27.49 cnf(i_0_267308, plain, (~product(e_5,e_2,e_2)), inference(extension_rule, [i_0_58])).
% 216.37/27.49 cnf(i_0_267358, plain, (~group_element(e_2)), inference(closure_rule, [i_0_34])).
% 216.37/27.49 cnf(i_0_267359, plain, (~group_element(e_5)), inference(closure_rule, [i_0_37])).
% 216.37/27.49 cnf(i_0_267353, plain, (product(e_5,e_2,e_5)), inference(extension_rule, [i_0_63])).
% 216.37/27.49 cnf(i_0_267360, plain, (equalish(e_1,e_5)), inference(closure_rule, [i_0_41])).
% 216.37/27.49 cnf(i_0_267363, plain, (~product(e_5,e_2,e_5)), inference(closure_rule, [i_0_267353])).
% 216.37/27.49 cnf(i_0_267362, plain, (~product(e_5,X7,e_1)), inference(extension_rule, [i_0_58])).
% 216.37/27.49 cnf(i_0_267385, plain, (~group_element(e_5)), inference(closure_rule, [i_0_37])).
% 216.37/27.49 cnf(i_0_267364, plain, (~product(e_1,X7,e_5)), inference(extension_rule, [i_0_58])).
% 216.37/27.49 cnf(i_0_267411, plain, (~group_element(e_1)), inference(closure_rule, [i_0_33])).
% 216.37/27.49 cnf(i_0_267355, plain, (product(e_5,e_2,e_3)), inference(extension_rule, [i_0_60])).
% 216.37/27.49 cnf(i_0_267467, plain, (equalish(e_1,e_2)), inference(closure_rule, [i_0_38])).
% 216.37/27.49 cnf(i_0_267469, plain, (~product(e_5,e_1,e_3)), inference(closure_rule, [i_0_90628])).
% 216.37/27.49 cnf(i_0_267357, plain, (product(e_5,e_2,e_1)), inference(extension_rule, [i_0_61])).
% 216.37/27.49 cnf(i_0_267470, plain, (equalish(e_1,e_5)), inference(closure_rule, [i_0_41])).
% 216.37/27.49 cnf(i_0_267472, plain, (~product(e_1,e_2,e_1)), inference(extension_rule, [i_0_58])).
% 216.37/27.49 cnf(i_0_267488, plain, (~group_element(e_2)), inference(closure_rule, [i_0_34])).
% 216.37/27.49 cnf(i_0_267489, plain, (~group_element(e_1)), inference(closure_rule, [i_0_33])).
% 216.37/27.49 cnf(i_0_267354, plain, (product(e_5,e_2,e_4)), inference(extension_rule, [i_0_64])).
% 216.37/27.49 cnf(i_0_267490, plain, (equalish(e_1,e_2)), inference(closure_rule, [i_0_38])).
% 216.37/27.49 cnf(i_0_267492, plain, (~product(e_5,e_1,e_3)), inference(closure_rule, [i_0_90628])).
% 216.37/27.49 cnf(i_0_267493, plain, (~product(e_4,e_2,e_5)), inference(extension_rule, [i_0_58])).
% 216.37/27.49 cnf(i_0_267514, plain, (~group_element(e_2)), inference(closure_rule, [i_0_34])).
% 216.37/27.49 cnf(i_0_267515, plain, (~group_element(e_4)), inference(closure_rule, [i_0_36])).
% 216.37/27.49 cnf(i_0_267494, plain, (~product(e_3,e_1,e_5)), inference(extension_rule, [i_0_58])).
% 216.37/27.49 cnf(i_0_267540, plain, (~group_element(e_1)), inference(closure_rule, [i_0_33])).
% 216.37/27.49 cnf(i_0_267541, plain, (~group_element(e_3)), inference(closure_rule, [i_0_35])).
% 216.37/27.49 cnf(i_0_267309, plain, (~product(e_3,e_1,e_2)), inference(extension_rule, [i_0_58])).
% 216.37/27.49 cnf(i_0_267561, plain, (product(e_3,e_1,e_5)), inference(closure_rule, [i_0_192891])).
% 216.37/27.49 cnf(i_0_267566, plain, (~group_element(e_1)), inference(closure_rule, [i_0_33])).
% 216.37/27.49 cnf(i_0_267567, plain, (~group_element(e_3)), inference(closure_rule, [i_0_35])).
% 216.37/27.49 cnf(i_0_267562, plain, (product(e_3,e_1,e_4)), inference(extension_rule, [i_0_63])).
% 216.37/27.49 cnf(i_0_267568, plain, (equalish(e_1,e_4)), inference(closure_rule, [i_0_40])).
% 216.37/27.49 cnf(i_0_267571, plain, (~product(e_4,e_1,e_2)), inference(closure_rule, [i_0_193206])).
% 216.37/27.49 cnf(i_0_267570, plain, (~product(e_3,X8,e_1)), inference(extension_rule, [i_0_58])).
% 216.37/27.49 cnf(i_0_267593, plain, (~group_element(e_3)), inference(closure_rule, [i_0_35])).
% 216.37/27.49 cnf(i_0_267572, plain, (~product(e_1,X8,e_2)), inference(extension_rule, [i_0_58])).
% 216.37/27.49 cnf(i_0_267619, plain, (~group_element(e_1)), inference(closure_rule, [i_0_33])).
% 216.37/27.49 cnf(i_0_267565, plain, (product(e_3,e_1,e_1)), inference(extension_rule, [i_0_60])).
% 216.37/27.49 cnf(i_0_267675, plain, (equalish(e_2,e_1)), inference(closure_rule, [i_0_42])).
% 216.37/27.49 cnf(i_0_267677, plain, (~product(e_3,e_2,e_1)), inference(extension_rule, [i_0_58])).
% 216.37/27.49 cnf(i_0_267696, plain, (~group_element(e_2)), inference(closure_rule, [i_0_34])).
% 216.37/27.49 cnf(i_0_267697, plain, (~group_element(e_3)), inference(closure_rule, [i_0_35])).
% 216.37/27.49 cnf(i_0_267563, plain, (product(e_3,e_1,e_3)), inference(extension_rule, [i_0_61])).
% 216.37/27.49 cnf(i_0_267698, plain, (equalish(e_1,e_3)), inference(closure_rule, [i_0_39])).
% 216.37/27.49 cnf(i_0_267700, plain, (~product(e_1,e_1,e_3)), inference(extension_rule, [i_0_58])).
% 216.37/27.49 cnf(i_0_267722, plain, (~group_element(e_1)), inference(closure_rule, [i_0_33])).
% 216.37/27.49 cnf(i_0_267723, plain, (~group_element(e_1)), inference(closure_rule, [i_0_33])).
% 216.37/27.49 cnf(i_0_90499, plain, (product(e_2,e_2,e_2)), inference(extension_rule, [i_0_64])).
% 216.37/27.49 cnf(i_0_267724, plain, (equalish(e_1,e_2)), inference(closure_rule, [i_0_38])).
% 216.37/27.49 cnf(i_0_267726, plain, (~product(e_2,e_1,e_3)), inference(closure_rule, [i_0_138])).
% 216.37/27.49 cnf(i_0_267727, plain, (~product(e_2,e_2,e_2)), inference(closure_rule, [i_0_62])).
% 216.37/27.49 cnf(i_0_90500, plain, (product(e_2,e_2,e_1)), inference(etableau_closure_rule, [i_0_90500, ...])).
% 216.37/27.49 cnf(i_0_90522, plain, (product(e_1,e_1,e_5)), inference(etableau_closure_rule, [i_0_90522, ...])).
% 216.37/27.49 cnf(i_0_90523, plain, (product(e_1,e_1,e_4)), inference(etableau_closure_rule, [i_0_90523, ...])).
% 216.37/27.49 cnf(i_0_90524, plain, (product(e_1,e_1,e_3)), inference(etableau_closure_rule, [i_0_90524, ...])).
% 216.37/27.49 cnf(i_0_90526, plain, (product(e_1,e_1,e_1)), inference(etableau_closure_rule, [i_0_90526, ...])).
% 216.37/27.49 cnf(i_0_90600, plain, (product(e_1,e_1,e_5)), inference(etableau_closure_rule, [i_0_90600, ...])).
% 216.37/27.49 cnf(i_0_90601, plain, (product(e_1,e_1,e_4)), inference(etableau_closure_rule, [i_0_90601, ...])).
% 216.37/27.49 cnf(i_0_90602, plain, (product(e_1,e_1,e_3)), inference(etableau_closure_rule, [i_0_90602, ...])).
% 216.37/27.49 cnf(i_0_90604, plain, (product(e_1,e_1,e_1)), inference(etableau_closure_rule, [i_0_90604, ...])).
% 216.37/27.49 cnf(i_0_90574, plain, (product(e_2,e_2,e_5)), inference(etableau_closure_rule, [i_0_90574, ...])).
% 216.37/27.49 cnf(i_0_90575, plain, (product(e_2,e_2,e_4)), inference(etableau_closure_rule, [i_0_90575, ...])).
% 216.37/27.49 cnf(i_0_90576, plain, (product(e_2,e_2,e_3)), inference(etableau_closure_rule, [i_0_90576, ...])).
% 216.37/27.49 cnf(i_0_90578, plain, (product(e_2,e_2,e_1)), inference(etableau_closure_rule, [i_0_90578, ...])).
% 216.37/27.49 cnf(i_0_175811, plain, (product(e_4,e_2,e_5)), inference(etableau_closure_rule, [i_0_175811, ...])).
% 216.37/27.49 cnf(i_0_175812, plain, (product(e_4,e_2,e_4)), inference(etableau_closure_rule, [i_0_175812, ...])).
% 216.37/27.49 cnf(i_0_267728, plain, (~product(e_3,e_1,e_2)), inference(extension_rule, [i_0_58])).
% 216.37/27.49 cnf(i_0_340445, plain, (~group_element(e_1)), inference(closure_rule, [i_0_33])).
% 216.37/27.49 cnf(i_0_340446, plain, (~group_element(e_3)), inference(closure_rule, [i_0_35])).
% 216.37/27.49 cnf(i_0_340440, plain, (product(e_3,e_1,e_5)), inference(extension_rule, [i_0_63])).
% 216.37/27.49 cnf(i_0_340447, plain, (equalish(e_1,e_5)), inference(closure_rule, [i_0_41])).
% 216.37/27.49 cnf(i_0_340449, plain, (~product(e_3,X9,e_1)), inference(extension_rule, [i_0_58])).
% 216.37/27.49 cnf(i_0_340498, plain, (~group_element(e_3)), inference(closure_rule, [i_0_35])).
% 216.37/27.49 cnf(i_0_340450, plain, (~product(e_5,e_1,e_5)), inference(extension_rule, [i_0_58])).
% 216.37/27.49 cnf(i_0_340523, plain, (~group_element(e_1)), inference(closure_rule, [i_0_33])).
% 216.37/27.49 cnf(i_0_340524, plain, (~group_element(e_5)), inference(closure_rule, [i_0_37])).
% 216.37/27.49 cnf(i_0_340451, plain, (~product(e_1,X9,e_5)), inference(extension_rule, [i_0_58])).
% 216.37/27.49 cnf(i_0_340550, plain, (~group_element(e_1)), inference(closure_rule, [i_0_33])).
% 216.37/27.49 cnf(i_0_340442, plain, (product(e_3,e_1,e_3)), inference(extension_rule, [i_0_60])).
% 216.37/27.49 cnf(i_0_340606, plain, (equalish(e_2,e_1)), inference(closure_rule, [i_0_42])).
% 216.37/27.49 cnf(i_0_340608, plain, (~product(e_3,e_2,e_3)), inference(extension_rule, [i_0_58])).
% 216.37/27.49 cnf(i_0_340627, plain, (~group_element(e_2)), inference(closure_rule, [i_0_34])).
% 216.37/27.49 cnf(i_0_340628, plain, (~group_element(e_3)), inference(closure_rule, [i_0_35])).
% 216.37/27.49 cnf(i_0_340444, plain, (product(e_3,e_1,e_1)), inference(extension_rule, [i_0_61])).
% 216.37/27.49 cnf(i_0_340629, plain, (equalish(e_1,e_3)), inference(closure_rule, [i_0_39])).
% 216.37/27.49 cnf(i_0_340631, plain, (~product(e_1,e_1,e_1)), inference(closure_rule, [i_0_62])).
% 216.37/27.49 cnf(i_0_340441, plain, (product(e_3,e_1,e_4)), inference(extension_rule, [i_0_64])).
% 216.37/27.49 cnf(i_0_340632, plain, (equalish(e_2,e_1)), inference(closure_rule, [i_0_42])).
% 216.37/27.49 cnf(i_0_340636, plain, (~product(e_2,e_2,e_2)), inference(closure_rule, [i_0_62])).
% 216.37/27.49 cnf(i_0_340634, plain, (~product(e_3,e_2,e_2)), inference(extension_rule, [i_0_58])).
% 216.37/27.49 cnf(i_0_340653, plain, (~group_element(e_2)), inference(closure_rule, [i_0_34])).
% 216.37/27.49 cnf(i_0_340654, plain, (~group_element(e_3)), inference(closure_rule, [i_0_35])).
% 216.37/27.49 cnf(i_0_340635, plain, (~product(e_4,e_1,e_2)), inference(extension_rule, [i_0_58])).
% 216.37/27.49 cnf(i_0_340679, plain, (~group_element(e_1)), inference(closure_rule, [i_0_33])).
% 216.37/27.49 cnf(i_0_340680, plain, (~group_element(e_4)), inference(closure_rule, [i_0_36])).
% 216.37/27.49 cnf(i_0_175813, plain, (product(e_4,e_2,e_3)), inference(extension_rule, [i_0_63])).
% 216.37/27.49 cnf(i_0_340681, plain, (equalish(e_1,e_3)), inference(closure_rule, [i_0_39])).
% 216.37/27.49 cnf(i_0_340685, plain, (~product(e_1,e_1,e_1)), inference(closure_rule, [i_0_62])).
% 216.37/27.49 # End printing tableau
% 216.37/27.49 # SZS output end
% 216.37/27.49 # Branches closed with saturation will be marked with an "s"
% 216.37/27.50 # Child (28755) has found a proof.
% 216.37/27.50
% 216.37/27.50 # Proof search is over...
% 216.37/27.50 # Freeing feature tree
%------------------------------------------------------------------------------