TSTP Solution File: GRP124-4.005 by Etableau---0.67
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- Process Solution
%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : GRP124-4.005 : 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 : n007.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 09:04:37 EDT 2022
% Result : Satisfiable 247.52s 31.67s
% Output : CNFRefutation 247.52s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP124-4.005 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.03/0.13 % 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 : n007.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 04:59:23 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.37 # No SInE strategy applied
% 0.19/0.37 # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.19/0.37 # and selection function SelectComplexExceptUniqMaxHorn.
% 0.19/0.37 #
% 0.19/0.37 # Presaturation interreduction done
% 0.19/0.37 # Number of axioms: 34 Number of unprocessed: 34
% 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 # 34 beginning clauses after preprocessing and clausification
% 0.19/0.37 # Creating start rules for all 2 conjectures.
% 0.19/0.37 # There are 2 start rule candidates:
% 0.19/0.37 # Found 26 unit axioms.
% 0.19/0.37 # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.19/0.37 # 2 start rule tableaux created.
% 0.19/0.37 # 8 extension rule candidate clauses
% 0.19/0.37 # 26 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 2
% 0.19/0.37 # Returning from population with 15 new_tableaux and 0 remaining starting tableaux.
% 0.19/0.37 # We now have 15 tableaux to operate on
% 247.52/31.67 # 18871 Satisfiable branch
% 247.52/31.67 # Satisfiable branch found.
% 247.52/31.67 # There were 59 total branch saturation attempts.
% 247.52/31.67 # There were 0 of these attempts blocked.
% 247.52/31.67 # There were 0 deferred branch saturation attempts.
% 247.52/31.67 # There were 4 free duplicated saturations.
% 247.52/31.67 # There were 47 total successful branch saturations.
% 247.52/31.67 # There were 0 successful branch saturations in interreduction.
% 247.52/31.67 # There were 0 successful branch saturations on the branch.
% 247.52/31.67 # There were 43 successful branch saturations after the branch.
% 247.52/31.67 # SZS status Satisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 247.52/31.67 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 247.52/31.67 # Begin clausification derivation
% 247.52/31.67
% 247.52/31.67 # End clausification derivation
% 247.52/31.67 # Begin listing active clauses obtained from FOF to CNF conversion
% 247.52/31.67 cnf(i_0_37, plain, (group_element(e_1))).
% 247.52/31.67 cnf(i_0_38, plain, (group_element(e_2))).
% 247.52/31.67 cnf(i_0_39, plain, (group_element(e_3))).
% 247.52/31.67 cnf(i_0_40, plain, (group_element(e_4))).
% 247.52/31.67 cnf(i_0_41, plain, (group_element(e_5))).
% 247.52/31.67 cnf(i_0_66, plain, (product(X1,X1,X1))).
% 247.52/31.67 cnf(i_0_42, plain, (~equalish(e_1,e_2))).
% 247.52/31.67 cnf(i_0_43, plain, (~equalish(e_1,e_3))).
% 247.52/31.67 cnf(i_0_44, plain, (~equalish(e_1,e_4))).
% 247.52/31.67 cnf(i_0_45, plain, (~equalish(e_1,e_5))).
% 247.52/31.67 cnf(i_0_46, plain, (~equalish(e_2,e_1))).
% 247.52/31.67 cnf(i_0_47, plain, (~equalish(e_2,e_3))).
% 247.52/31.67 cnf(i_0_48, plain, (~equalish(e_2,e_4))).
% 247.52/31.67 cnf(i_0_49, plain, (~equalish(e_2,e_5))).
% 247.52/31.67 cnf(i_0_50, plain, (~equalish(e_3,e_1))).
% 247.52/31.67 cnf(i_0_51, plain, (~equalish(e_3,e_2))).
% 247.52/31.67 cnf(i_0_52, plain, (~equalish(e_3,e_4))).
% 247.52/31.67 cnf(i_0_53, plain, (~equalish(e_3,e_5))).
% 247.52/31.67 cnf(i_0_54, plain, (~equalish(e_4,e_1))).
% 247.52/31.67 cnf(i_0_55, plain, (~equalish(e_4,e_2))).
% 247.52/31.67 cnf(i_0_56, plain, (~equalish(e_4,e_3))).
% 247.52/31.67 cnf(i_0_57, plain, (~equalish(e_4,e_5))).
% 247.52/31.67 cnf(i_0_58, plain, (~equalish(e_5,e_1))).
% 247.52/31.67 cnf(i_0_59, plain, (~equalish(e_5,e_2))).
% 247.52/31.67 cnf(i_0_60, plain, (~equalish(e_5,e_3))).
% 247.52/31.67 cnf(i_0_61, plain, (~equalish(e_5,e_4))).
% 247.52/31.67 cnf(i_0_63, plain, (equalish(X1,X2)|~product(X3,X4,X2)|~product(X3,X4,X1))).
% 247.52/31.67 cnf(i_0_64, plain, (equalish(X1,X2)|~product(X3,X2,X4)|~product(X3,X1,X4))).
% 247.52/31.67 cnf(i_0_65, plain, (equalish(X1,X2)|~product(X2,X3,X4)|~product(X1,X3,X4))).
% 247.52/31.67 cnf(i_0_68, negated_conjecture, (equalish(X1,X2)|~product(X3,X4,X2)|~product(X3,X5,X1)|~product(X4,X2,X6)|~product(X5,X1,X6))).
% 247.52/31.67 cnf(i_0_67, negated_conjecture, (equalish(X1,X2)|~product(X3,X2,X4)|~product(X3,X1,X5)|~product(X2,X4,X6)|~product(X1,X5,X6))).
% 247.52/31.67 cnf(i_0_62, 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))).
% 247.52/31.67 cnf(i_0_36, 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))).
% 247.52/31.67 cnf(i_0_35, 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))).
% 247.52/31.67 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 247.52/31.67 # Begin printing tableau
% 247.52/31.67 # Found 363 steps
% 247.52/31.67 cnf(i_0_67, negated_conjecture, (equalish(e_1,e_2)|~product(e_2,e_2,e_2)|~product(e_2,e_1,e_3)|~product(e_2,e_2,e_2)|~product(e_1,e_3,e_2)), inference(start_rule)).
% 247.52/31.67 cnf(i_0_69, plain, (equalish(e_1,e_2)), inference(closure_rule, [i_0_42])).
% 247.52/31.67 cnf(i_0_70, plain, (~product(e_2,e_2,e_2)), inference(closure_rule, [i_0_66])).
% 247.52/31.67 cnf(i_0_72, plain, (~product(e_2,e_2,e_2)), inference(closure_rule, [i_0_66])).
% 247.52/31.67 cnf(i_0_73, plain, (~product(e_1,e_3,e_2)), inference(extension_rule, [i_0_36])).
% 247.52/31.67 cnf(i_0_140, plain, (~group_element(e_2)), inference(closure_rule, [i_0_38])).
% 247.52/31.67 cnf(i_0_141, plain, (~group_element(e_1)), inference(closure_rule, [i_0_37])).
% 247.52/31.67 cnf(i_0_135, plain, (product(e_1,e_5,e_2)), inference(extension_rule, [i_0_63])).
% 247.52/31.67 cnf(i_0_159, plain, (equalish(e_1,e_2)), inference(closure_rule, [i_0_42])).
% 247.52/31.67 cnf(i_0_161, plain, (~product(e_1,e_5,e_1)), inference(extension_rule, [i_0_36])).
% 247.52/31.67 cnf(i_0_197301, plain, (~group_element(e_1)), inference(closure_rule, [i_0_37])).
% 247.52/31.67 cnf(i_0_197302, plain, (~group_element(e_1)), inference(closure_rule, [i_0_37])).
% 247.52/31.67 cnf(i_0_136, plain, (product(e_1,e_4,e_2)), inference(extension_rule, [i_0_64])).
% 247.52/31.67 cnf(i_0_197303, plain, (equalish(e_1,e_4)), inference(closure_rule, [i_0_44])).
% 247.52/31.67 cnf(i_0_197305, plain, (~product(e_1,e_1,e_2)), inference(extension_rule, [i_0_62])).
% 247.52/31.67 cnf(i_0_197314, plain, (~group_element(e_1)), inference(closure_rule, [i_0_37])).
% 247.52/31.67 cnf(i_0_197315, plain, (~group_element(e_1)), inference(closure_rule, [i_0_37])).
% 247.52/31.67 cnf(i_0_138, plain, (product(e_1,e_2,e_2)), inference(extension_rule, [i_0_65])).
% 247.52/31.67 cnf(i_0_197316, plain, (equalish(e_2,e_1)), inference(closure_rule, [i_0_46])).
% 247.52/31.67 cnf(i_0_197318, plain, (~product(e_2,e_2,e_2)), inference(closure_rule, [i_0_66])).
% 247.52/31.67 cnf(i_0_139, plain, (product(e_1,e_1,e_2)), inference(extension_rule, [i_0_67])).
% 247.52/31.67 cnf(i_0_197326, plain, (equalish(e_2,e_1)), inference(closure_rule, [i_0_46])).
% 247.52/31.67 cnf(i_0_197330, plain, (~product(e_2,e_2,e_2)), inference(closure_rule, [i_0_66])).
% 247.52/31.67 cnf(i_0_197328, plain, (~product(e_1,e_2,e_2)), inference(extension_rule, [i_0_62])).
% 247.52/31.67 cnf(i_0_197361, plain, (~group_element(e_2)), inference(closure_rule, [i_0_38])).
% 247.52/31.67 cnf(i_0_197362, plain, (~group_element(e_1)), inference(closure_rule, [i_0_37])).
% 247.52/31.67 cnf(i_0_197329, plain, (~product(e_1,e_2,e_2)), inference(extension_rule, [i_0_62])).
% 247.52/31.67 cnf(i_0_197401, plain, (~group_element(e_2)), inference(closure_rule, [i_0_38])).
% 247.52/31.67 cnf(i_0_197402, plain, (~group_element(e_1)), inference(closure_rule, [i_0_37])).
% 247.52/31.67 cnf(i_0_71, plain, (~product(e_2,e_1,e_3)), inference(extension_rule, [i_0_35])).
% 247.52/31.67 cnf(i_0_197408, plain, (~group_element(e_3)), inference(closure_rule, [i_0_39])).
% 247.52/31.67 cnf(i_0_197409, plain, (~group_element(e_1)), inference(closure_rule, [i_0_37])).
% 247.52/31.67 cnf(i_0_197297, plain, (product(e_1,e_4,e_1)), inference(etableau_closure_rule, [i_0_197297, ...])).
% 247.52/31.67 cnf(i_0_197298, plain, (product(e_1,e_3,e_1)), inference(etableau_closure_rule, [i_0_197298, ...])).
% 247.52/31.67 cnf(i_0_197299, plain, (product(e_1,e_2,e_1)), inference(etableau_closure_rule, [i_0_197299, ...])).
% 247.52/31.67 cnf(i_0_197403, plain, (product(e_5,e_1,e_3)), inference(extension_rule, [i_0_68])).
% 247.52/31.67 cnf(i_0_324499, plain, (equalish(e_1,e_3)), inference(closure_rule, [i_0_43])).
% 247.52/31.67 cnf(i_0_324503, plain, (~product(e_1,e_1,e_1)), inference(closure_rule, [i_0_66])).
% 247.52/31.67 cnf(i_0_324501, plain, (~product(e_5,e_1,e_1)), inference(extension_rule, [i_0_36])).
% 247.52/31.67 cnf(i_0_324512, plain, (~group_element(e_1)), inference(closure_rule, [i_0_37])).
% 247.52/31.67 cnf(i_0_324513, plain, (~group_element(e_5)), inference(closure_rule, [i_0_41])).
% 247.52/31.67 cnf(i_0_324502, plain, (~product(e_1,e_3,e_1)), inference(extension_rule, [i_0_62])).
% 247.52/31.67 cnf(i_0_324533, plain, (~group_element(e_3)), inference(closure_rule, [i_0_39])).
% 247.52/31.67 cnf(i_0_324534, plain, (~group_element(e_1)), inference(closure_rule, [i_0_37])).
% 247.52/31.67 cnf(i_0_197404, plain, (product(e_4,e_1,e_3)), inference(extension_rule, [i_0_63])).
% 247.52/31.67 cnf(i_0_324535, plain, (equalish(e_1,e_3)), inference(closure_rule, [i_0_43])).
% 247.52/31.67 cnf(i_0_324537, plain, (~product(e_4,e_1,e_1)), inference(extension_rule, [i_0_35])).
% 247.52/31.67 cnf(i_0_324554, plain, (~group_element(e_1)), inference(closure_rule, [i_0_37])).
% 247.52/31.67 cnf(i_0_324555, plain, (~group_element(e_1)), inference(closure_rule, [i_0_37])).
% 247.52/31.67 cnf(i_0_197405, plain, (product(e_3,e_1,e_3)), inference(extension_rule, [i_0_64])).
% 247.52/31.67 cnf(i_0_324556, plain, (equalish(e_2,e_1)), inference(closure_rule, [i_0_46])).
% 247.52/31.67 cnf(i_0_324558, plain, (~product(e_3,e_2,e_3)), inference(extension_rule, [i_0_62])).
% 247.52/31.67 cnf(i_0_324584, plain, (~group_element(e_2)), inference(closure_rule, [i_0_38])).
% 247.52/31.67 cnf(i_0_324585, plain, (~group_element(e_3)), inference(closure_rule, [i_0_39])).
% 247.52/31.67 cnf(i_0_197407, plain, (product(e_1,e_1,e_3)), inference(extension_rule, [i_0_67])).
% 247.52/31.67 cnf(i_0_324669, plain, (equalish(e_2,e_1)), inference(closure_rule, [i_0_46])).
% 247.52/31.67 cnf(i_0_324673, plain, (~product(e_2,e_2,e_2)), inference(closure_rule, [i_0_66])).
% 247.52/31.67 cnf(i_0_324671, plain, (~product(e_1,e_2,e_2)), inference(extension_rule, [i_0_62])).
% 247.52/31.67 cnf(i_0_324704, plain, (~group_element(e_2)), inference(closure_rule, [i_0_38])).
% 247.52/31.67 cnf(i_0_324705, plain, (~group_element(e_1)), inference(closure_rule, [i_0_37])).
% 247.52/31.67 cnf(i_0_324672, plain, (~product(e_1,e_3,e_2)), inference(extension_rule, [i_0_35])).
% 247.52/31.67 cnf(i_0_324726, plain, (~group_element(e_2)), inference(closure_rule, [i_0_38])).
% 247.52/31.67 cnf(i_0_324727, plain, (~group_element(e_3)), inference(closure_rule, [i_0_39])).
% 247.52/31.67 cnf(i_0_324507, plain, (product(e_5,e_5,e_1)), inference(extension_rule, [i_0_65])).
% 247.52/31.67 cnf(i_0_704104, plain, (equalish(e_1,e_5)), inference(closure_rule, [i_0_45])).
% 247.52/31.67 cnf(i_0_704106, plain, (~product(e_1,e_5,e_1)), inference(extension_rule, [i_0_62])).
% 247.52/31.67 cnf(i_0_704128, plain, (~group_element(e_5)), inference(closure_rule, [i_0_41])).
% 247.52/31.67 cnf(i_0_704129, plain, (~group_element(e_1)), inference(closure_rule, [i_0_37])).
% 247.52/31.67 cnf(i_0_704123, plain, (product(e_1,e_5,e_5)), inference(extension_rule, [i_0_64])).
% 247.52/31.67 cnf(i_0_704130, plain, (equalish(e_1,e_5)), inference(closure_rule, [i_0_45])).
% 247.52/31.67 cnf(i_0_704132, plain, (~product(e_1,e_1,e_5)), inference(extension_rule, [i_0_35])).
% 247.52/31.67 cnf(i_0_725024, plain, (~group_element(e_5)), inference(closure_rule, [i_0_41])).
% 247.52/31.67 cnf(i_0_725025, plain, (~group_element(e_1)), inference(closure_rule, [i_0_37])).
% 247.52/31.67 cnf(i_0_704125, plain, (product(e_1,e_5,e_3)), inference(extension_rule, [i_0_67])).
% 247.52/31.67 cnf(i_0_725109, plain, (equalish(e_1,e_5)), inference(closure_rule, [i_0_45])).
% 247.52/31.67 cnf(i_0_725111, plain, (~product(e_1,e_1,e_1)), inference(closure_rule, [i_0_66])).
% 247.52/31.67 cnf(i_0_725113, plain, (~product(e_1,e_1,e_1)), inference(closure_rule, [i_0_66])).
% 247.52/31.67 cnf(i_0_725112, plain, (~product(e_5,e_3,e_1)), inference(extension_rule, [i_0_62])).
% 247.52/31.67 cnf(i_0_725134, plain, (~group_element(e_3)), inference(closure_rule, [i_0_39])).
% 247.52/31.67 cnf(i_0_725135, plain, (~group_element(e_5)), inference(closure_rule, [i_0_41])).
% 247.52/31.67 cnf(i_0_704126, plain, (product(e_1,e_5,e_2)), inference(extension_rule, [i_0_68])).
% 247.52/31.67 cnf(i_0_725136, plain, (equalish(e_1,e_2)), inference(closure_rule, [i_0_42])).
% 247.52/31.67 cnf(i_0_725138, plain, (~product(e_1,e_1,e_1)), inference(closure_rule, [i_0_66])).
% 247.52/31.67 cnf(i_0_725140, plain, (~product(e_1,e_1,e_1)), inference(closure_rule, [i_0_66])).
% 247.52/31.67 cnf(i_0_725139, plain, (~product(e_5,e_2,e_1)), inference(extension_rule, [i_0_35])).
% 247.52/31.67 cnf(i_0_725159, plain, (~group_element(e_1)), inference(closure_rule, [i_0_37])).
% 247.52/31.67 cnf(i_0_725160, plain, (~group_element(e_2)), inference(closure_rule, [i_0_38])).
% 247.52/31.67 cnf(i_0_704124, plain, (product(e_1,e_5,e_4)), inference(extension_rule, [i_0_65])).
% 247.52/31.67 cnf(i_0_725168, plain, (equalish(e_2,e_1)), inference(closure_rule, [i_0_46])).
% 247.52/31.67 cnf(i_0_725170, plain, (~product(e_2,e_5,e_4)), inference(extension_rule, [i_0_36])).
% 247.52/31.67 cnf(i_0_725176, plain, (~group_element(e_4)), inference(closure_rule, [i_0_40])).
% 247.52/31.67 cnf(i_0_725177, plain, (~group_element(e_2)), inference(closure_rule, [i_0_38])).
% 247.52/31.67 cnf(i_0_324509, plain, (product(e_5,e_3,e_1)), inference(extension_rule, [i_0_63])).
% 247.52/31.67 cnf(i_0_753123, plain, (equalish(e_2,e_1)), inference(closure_rule, [i_0_46])).
% 247.52/31.67 cnf(i_0_753125, plain, (~product(e_5,e_3,e_2)), inference(extension_rule, [i_0_35])).
% 247.52/31.67 cnf(i_0_774663, plain, (~group_element(e_2)), inference(closure_rule, [i_0_38])).
% 247.52/31.67 cnf(i_0_774664, plain, (~group_element(e_3)), inference(closure_rule, [i_0_39])).
% 247.52/31.67 cnf(i_0_774659, plain, (product(e_4,e_3,e_2)), inference(extension_rule, [i_0_67])).
% 247.52/31.67 cnf(i_0_774665, plain, (equalish(e_1,e_3)), inference(closure_rule, [i_0_43])).
% 247.52/31.67 cnf(i_0_774669, plain, (~product(e_1,e_1,e_1)), inference(closure_rule, [i_0_66])).
% 247.52/31.67 cnf(i_0_774667, plain, (~product(e_4,e_1,e_1)), inference(extension_rule, [i_0_62])).
% 247.52/31.67 cnf(i_0_774675, plain, (~group_element(e_1)), inference(closure_rule, [i_0_37])).
% 247.52/31.67 cnf(i_0_774676, plain, (~group_element(e_4)), inference(closure_rule, [i_0_40])).
% 247.52/31.67 cnf(i_0_774668, plain, (~product(e_3,e_2,e_1)), inference(extension_rule, [i_0_36])).
% 247.52/31.67 cnf(i_0_774690, plain, (~group_element(e_1)), inference(closure_rule, [i_0_37])).
% 247.52/31.67 cnf(i_0_774691, plain, (~group_element(e_3)), inference(closure_rule, [i_0_39])).
% 247.52/31.67 cnf(i_0_774660, plain, (product(e_3,e_3,e_2)), inference(extension_rule, [i_0_68])).
% 247.52/31.67 cnf(i_0_774692, plain, (equalish(e_1,e_2)), inference(closure_rule, [i_0_42])).
% 247.52/31.67 cnf(i_0_774696, plain, (~product(e_1,e_1,e_1)), inference(closure_rule, [i_0_66])).
% 247.52/31.67 cnf(i_0_774694, plain, (~product(e_3,e_1,e_1)), inference(extension_rule, [i_0_62])).
% 247.52/31.67 cnf(i_0_774723, plain, (~group_element(e_1)), inference(closure_rule, [i_0_37])).
% 247.52/31.67 cnf(i_0_774724, plain, (~group_element(e_3)), inference(closure_rule, [i_0_39])).
% 247.52/31.67 cnf(i_0_774695, plain, (~product(e_3,e_2,e_1)), inference(extension_rule, [i_0_35])).
% 247.52/31.67 cnf(i_0_774739, plain, (~group_element(e_1)), inference(closure_rule, [i_0_37])).
% 247.52/31.67 cnf(i_0_774740, plain, (~group_element(e_2)), inference(closure_rule, [i_0_38])).
% 247.52/31.67 cnf(i_0_774661, plain, (product(e_2,e_3,e_2)), inference(extension_rule, [i_0_65])).
% 247.52/31.67 cnf(i_0_774741, plain, (equalish(e_1,e_2)), inference(closure_rule, [i_0_42])).
% 247.52/31.67 cnf(i_0_774743, plain, (~product(e_1,e_3,e_2)), inference(extension_rule, [i_0_36])).
% 247.52/31.67 cnf(i_0_774760, plain, (~group_element(e_2)), inference(closure_rule, [i_0_38])).
% 247.52/31.67 cnf(i_0_774761, plain, (~group_element(e_1)), inference(closure_rule, [i_0_37])).
% 247.52/31.67 cnf(i_0_774662, plain, (product(e_1,e_3,e_2)), inference(extension_rule, [i_0_64])).
% 247.52/31.67 cnf(i_0_774762, plain, (equalish(e_1,e_3)), inference(closure_rule, [i_0_43])).
% 247.52/31.67 cnf(i_0_774764, plain, (~product(e_1,e_1,e_2)), inference(extension_rule, [i_0_62])).
% 247.52/31.67 cnf(i_0_774783, plain, (~group_element(e_1)), inference(closure_rule, [i_0_37])).
% 247.52/31.67 cnf(i_0_774784, plain, (~group_element(e_1)), inference(closure_rule, [i_0_37])).
% 247.52/31.67 cnf(i_0_324510, plain, (product(e_5,e_2,e_1)), inference(extension_rule, [i_0_63])).
% 247.52/31.67 cnf(i_0_774785, plain, (equalish(e_2,e_1)), inference(closure_rule, [i_0_46])).
% 247.52/31.67 cnf(i_0_324528, plain, (product(e_1,e_3,e_5)), inference(etableau_closure_rule, [i_0_324528, ...])).
% 247.52/31.67 cnf(i_0_774787, plain, (~product(e_5,e_2,e_2)), inference(extension_rule, [i_0_35])).
% 247.52/31.67 cnf(i_0_805288, plain, (product(e_4,e_2,e_2)), inference(closure_rule, [i_0_754023])).
% 247.52/31.67 cnf(i_0_805289, plain, (product(e_3,e_2,e_2)), inference(closure_rule, [i_0_755266])).
% 247.52/31.67 cnf(i_0_805291, plain, (product(e_1,e_2,e_2)), inference(closure_rule, [i_0_754635])).
% 247.52/31.67 cnf(i_0_805292, plain, (~group_element(e_2)), inference(closure_rule, [i_0_38])).
% 247.52/31.67 cnf(i_0_805293, plain, (~group_element(e_2)), inference(closure_rule, [i_0_38])).
% 247.52/31.67 cnf(i_0_805290, plain, (product(e_2,e_2,e_2)), inference(extension_rule, [i_0_67])).
% 247.52/31.67 cnf(i_0_805294, plain, (equalish(e_1,e_2)), inference(closure_rule, [i_0_42])).
% 247.52/31.67 cnf(i_0_805296, plain, (~product(e_2,e_1,e_4)), inference(closure_rule, [i_0_753391])).
% 247.52/31.67 cnf(i_0_805297, plain, (~product(e_2,e_2,e_2)), inference(closure_rule, [i_0_66])).
% 247.52/31.67 cnf(i_0_805298, plain, (~product(e_1,e_4,e_2)), inference(extension_rule, [i_0_36])).
% 247.52/31.67 cnf(i_0_805307, plain, (product(e_1,e_5,e_2)), inference(closure_rule, [i_0_754633])).
% 247.52/31.67 cnf(i_0_805310, plain, (product(e_1,e_2,e_2)), inference(closure_rule, [i_0_754635])).
% 247.52/31.67 cnf(i_0_805311, plain, (product(e_1,e_1,e_2)), inference(closure_rule, [i_0_754636])).
% 247.52/31.67 cnf(i_0_805312, plain, (~group_element(e_2)), inference(closure_rule, [i_0_38])).
% 247.52/31.67 cnf(i_0_805313, plain, (~group_element(e_1)), inference(closure_rule, [i_0_37])).
% 247.52/31.67 cnf(i_0_324529, plain, (product(e_1,e_3,e_4)), inference(extension_rule, [i_0_68])).
% 247.52/31.67 cnf(i_0_805314, plain, (equalish(e_1,e_4)), inference(closure_rule, [i_0_44])).
% 247.52/31.67 cnf(i_0_805316, plain, (~product(e_1,e_1,e_1)), inference(closure_rule, [i_0_66])).
% 247.52/31.67 cnf(i_0_805318, plain, (~product(e_1,e_1,e_1)), inference(closure_rule, [i_0_66])).
% 247.52/31.67 cnf(i_0_324530, plain, (product(e_1,e_3,e_3)), inference(etableau_closure_rule, [i_0_324530, ...])).
% 247.52/31.67 cnf(i_0_805317, plain, (~product(e_3,e_4,e_1)), inference(extension_rule, [i_0_62])).
% 247.52/31.67 cnf(i_0_853510, plain, (product(e_3,e_4,e_4)), inference(closure_rule, [i_0_790219])).
% 247.52/31.67 cnf(i_0_853514, plain, (~group_element(e_4)), inference(closure_rule, [i_0_40])).
% 247.52/31.67 cnf(i_0_853515, plain, (~group_element(e_3)), inference(closure_rule, [i_0_39])).
% 247.52/31.67 cnf(i_0_853509, plain, (product(e_3,e_4,e_5)), inference(extension_rule, [i_0_65])).
% 247.52/31.67 cnf(i_0_853516, plain, (equalish(e_1,e_3)), inference(closure_rule, [i_0_43])).
% 247.52/31.67 cnf(i_0_853518, plain, (~product(e_1,e_4,e_5)), inference(extension_rule, [i_0_36])).
% 247.52/31.67 cnf(i_0_853539, plain, (product(e_1,e_3,e_5)), inference(closure_rule, [i_0_774878])).
% 247.52/31.67 cnf(i_0_853541, plain, (product(e_1,e_1,e_5)), inference(closure_rule, [i_0_804248])).
% 247.52/31.67 cnf(i_0_853542, plain, (~group_element(e_5)), inference(closure_rule, [i_0_41])).
% 247.52/31.67 cnf(i_0_853543, plain, (~group_element(e_1)), inference(closure_rule, [i_0_37])).
% 247.52/31.67 cnf(i_0_853511, plain, (product(e_3,e_4,e_3)), inference(extension_rule, [i_0_64])).
% 247.52/31.67 cnf(i_0_853544, plain, (equalish(e_1,e_4)), inference(closure_rule, [i_0_44])).
% 247.52/31.67 cnf(i_0_853546, plain, (~product(e_3,e_1,e_3)), inference(extension_rule, [i_0_62])).
% 247.52/31.67 cnf(i_0_853571, plain, (product(e_3,e_1,e_1)), inference(closure_rule, [i_0_778623])).
% 247.52/31.67 cnf(i_0_853572, plain, (~group_element(e_1)), inference(closure_rule, [i_0_37])).
% 247.52/31.67 cnf(i_0_853573, plain, (~group_element(e_3)), inference(closure_rule, [i_0_39])).
% 247.52/31.67 cnf(i_0_853512, plain, (product(e_3,e_4,e_2)), inference(extension_rule, [i_0_67])).
% 247.52/31.67 cnf(i_0_853664, plain, (equalish(e_1,e_4)), inference(closure_rule, [i_0_44])).
% 247.52/31.67 cnf(i_0_853668, plain, (~product(e_1,e_1,e_1)), inference(closure_rule, [i_0_66])).
% 247.52/31.67 cnf(i_0_853666, plain, (~product(e_3,e_1,e_1)), inference(extension_rule, [i_0_36])).
% 247.52/31.67 cnf(i_0_853684, plain, (product(e_3,e_5,e_1)), inference(closure_rule, [i_0_778620])).
% 247.52/31.67 cnf(i_0_853685, plain, (product(e_3,e_4,e_1)), inference(closure_rule, [i_0_805317])).
% 247.52/31.67 cnf(i_0_853686, plain, (product(e_3,e_3,e_1)), inference(closure_rule, [i_0_778622])).
% 247.52/31.67 cnf(i_0_853689, plain, (~group_element(e_1)), inference(closure_rule, [i_0_37])).
% 247.52/31.67 cnf(i_0_853690, plain, (~group_element(e_3)), inference(closure_rule, [i_0_39])).
% 247.52/31.67 cnf(i_0_853667, plain, (~product(e_4,e_2,e_1)), inference(extension_rule, [i_0_35])).
% 247.52/31.67 cnf(i_0_853691, plain, (product(e_5,e_2,e_1)), inference(closure_rule, [i_0_775252])).
% 247.52/31.67 cnf(i_0_853694, plain, (product(e_2,e_2,e_1)), inference(closure_rule, [i_0_778641])).
% 247.52/31.67 cnf(i_0_853695, plain, (product(e_1,e_2,e_1)), inference(closure_rule, [i_0_778642])).
% 247.52/31.67 cnf(i_0_853696, plain, (~group_element(e_1)), inference(closure_rule, [i_0_37])).
% 247.52/31.67 cnf(i_0_853697, plain, (~group_element(e_2)), inference(closure_rule, [i_0_38])).
% 247.52/31.67 cnf(i_0_324531, plain, (product(e_1,e_3,e_2)), inference(extension_rule, [i_0_68])).
% 247.52/31.67 cnf(i_0_853698, plain, (equalish(e_1,e_2)), inference(closure_rule, [i_0_42])).
% 247.52/31.67 cnf(i_0_853700, plain, (~product(e_1,e_1,e_1)), inference(closure_rule, [i_0_66])).
% 247.52/31.67 cnf(i_0_853702, plain, (~product(e_1,e_1,e_1)), inference(closure_rule, [i_0_66])).
% 247.52/31.67 cnf(i_0_324549, plain, (product(e_5,e_1,e_1)), inference(etableau_closure_rule, [i_0_324549, ...])).
% 247.52/31.67 cnf(i_0_324551, plain, (product(e_3,e_1,e_1)), inference(etableau_closure_rule, [i_0_324551, ...])).
% 247.52/31.67 cnf(i_0_324552, plain, (product(e_2,e_1,e_1)), inference(etableau_closure_rule, [i_0_324552, ...])).
% 247.52/31.67 cnf(i_0_853701, plain, (~product(e_3,e_2,e_1)), inference(extension_rule, [i_0_62])).
% 247.52/31.67 cnf(i_0_942597, plain, (product(e_3,e_2,e_3)), inference(closure_rule, [i_0_849317])).
% 247.52/31.67 cnf(i_0_942598, plain, (product(e_3,e_2,e_2)), inference(closure_rule, [i_0_851450])).
% 247.52/31.67 cnf(i_0_942600, plain, (~group_element(e_2)), inference(closure_rule, [i_0_38])).
% 247.52/31.67 cnf(i_0_942601, plain, (~group_element(e_3)), inference(closure_rule, [i_0_39])).
% 247.52/31.67 cnf(i_0_942595, plain, (product(e_3,e_2,e_5)), inference(extension_rule, [i_0_65])).
% 247.52/31.67 cnf(i_0_942602, plain, (equalish(e_1,e_3)), inference(closure_rule, [i_0_43])).
% 247.52/31.67 cnf(i_0_942604, plain, (~product(e_1,e_2,e_5)), inference(extension_rule, [i_0_36])).
% 247.52/31.67 cnf(i_0_942618, plain, (product(e_1,e_3,e_5)), inference(closure_rule, [i_0_805351])).
% 247.52/31.67 cnf(i_0_942621, plain, (~group_element(e_5)), inference(closure_rule, [i_0_41])).
% 247.52/31.67 cnf(i_0_942622, plain, (~group_element(e_1)), inference(closure_rule, [i_0_37])).
% 247.52/31.67 cnf(i_0_942596, plain, (product(e_3,e_2,e_4)), inference(extension_rule, [i_0_64])).
% 247.52/31.67 cnf(i_0_942623, plain, (equalish(e_1,e_2)), inference(closure_rule, [i_0_42])).
% 247.52/31.67 cnf(i_0_942625, plain, (~product(e_3,e_1,e_4)), inference(extension_rule, [i_0_35])).
% 247.52/31.67 cnf(i_0_942634, plain, (product(e_5,e_1,e_4)), inference(closure_rule, [i_0_805345])).
% 247.52/31.67 cnf(i_0_942639, plain, (~group_element(e_4)), inference(closure_rule, [i_0_40])).
% 247.52/31.67 cnf(i_0_942640, plain, (~group_element(e_1)), inference(closure_rule, [i_0_37])).
% 247.52/31.67 cnf(i_0_324553, plain, (product(e_1,e_1,e_1)), inference(extension_rule, [i_0_63])).
% 247.52/31.67 cnf(i_0_942641, plain, (equalish(e_2,e_1)), inference(closure_rule, [i_0_46])).
% 247.52/31.67 cnf(i_0_324579, plain, (product(e_3,e_2,e_5)), inference(etableau_closure_rule, [i_0_324579, ...])).
% 247.52/31.67 cnf(i_0_324580, plain, (product(e_3,e_2,e_4)), inference(etableau_closure_rule, [i_0_324580, ...])).
% 247.52/31.67 cnf(i_0_324582, plain, (product(e_3,e_2,e_2)), inference(etableau_closure_rule, [i_0_324582, ...])).
% 247.52/31.67 cnf(i_0_324583, plain, (product(e_3,e_2,e_1)), inference(etableau_closure_rule, [i_0_324583, ...])).
% 247.52/31.67 cnf(i_0_324699, plain, (product(e_1,e_2,e_5)), inference(etableau_closure_rule, [i_0_324699, ...])).
% 247.52/31.67 cnf(i_0_324700, plain, (product(e_1,e_2,e_4)), inference(etableau_closure_rule, [i_0_324700, ...])).
% 247.52/31.67 cnf(i_0_324701, plain, (product(e_1,e_2,e_3)), inference(etableau_closure_rule, [i_0_324701, ...])).
% 247.52/31.67 cnf(i_0_324703, plain, (product(e_1,e_2,e_1)), inference(etableau_closure_rule, [i_0_324703, ...])).
% 247.52/31.67 cnf(i_0_324721, plain, (product(e_5,e_3,e_2)), inference(etableau_closure_rule, [i_0_324721, ...])).
% 247.52/31.67 cnf(i_0_324722, plain, (product(e_4,e_3,e_2)), inference(etableau_closure_rule, [i_0_324722, ...])).
% 247.52/31.67 cnf(i_0_324723, plain, (product(e_3,e_3,e_2)), inference(etableau_closure_rule, [i_0_324723, ...])).
% 247.52/31.67 cnf(i_0_324724, plain, (product(e_2,e_3,e_2)), inference(etableau_closure_rule, [i_0_324724, ...])).
% 247.52/31.67 cnf(i_0_942643, plain, (~product(e_1,e_1,e_2)), inference(extension_rule, [i_0_36])).
% 247.52/31.67 cnf(i_0_942815, plain, (~group_element(e_2)), inference(closure_rule, [i_0_38])).
% 247.52/31.67 cnf(i_0_942816, plain, (~group_element(e_1)), inference(closure_rule, [i_0_37])).
% 247.52/31.67 cnf(i_0_942810, plain, (product(e_1,e_5,e_2)), inference(extension_rule, [i_0_67])).
% 247.52/31.67 cnf(i_0_942817, plain, (equalish(e_1,e_5)), inference(closure_rule, [i_0_45])).
% 247.52/31.67 cnf(i_0_942819, plain, (~product(e_1,e_1,e_1)), inference(closure_rule, [i_0_66])).
% 247.52/31.67 cnf(i_0_942821, plain, (~product(e_1,e_1,e_1)), inference(closure_rule, [i_0_66])).
% 247.52/31.67 cnf(i_0_942820, plain, (~product(e_5,e_2,e_1)), inference(extension_rule, [i_0_62])).
% 247.52/31.67 cnf(i_0_942832, plain, (~group_element(e_2)), inference(closure_rule, [i_0_38])).
% 247.52/31.67 cnf(i_0_942833, plain, (~group_element(e_5)), inference(closure_rule, [i_0_41])).
% 247.52/31.67 cnf(i_0_942811, plain, (product(e_1,e_4,e_2)), inference(extension_rule, [i_0_68])).
% 247.52/31.67 cnf(i_0_942834, plain, (equalish(e_1,e_2)), inference(closure_rule, [i_0_42])).
% 247.52/31.67 cnf(i_0_942836, plain, (~product(e_1,e_1,e_1)), inference(closure_rule, [i_0_66])).
% 247.52/31.67 cnf(i_0_942838, plain, (~product(e_1,e_1,e_1)), inference(closure_rule, [i_0_66])).
% 247.52/31.67 cnf(i_0_942837, plain, (~product(e_4,e_2,e_1)), inference(extension_rule, [i_0_35])).
% 247.52/31.67 cnf(i_0_942850, plain, (~group_element(e_1)), inference(closure_rule, [i_0_37])).
% 247.52/31.67 cnf(i_0_942851, plain, (~group_element(e_2)), inference(closure_rule, [i_0_38])).
% 247.52/31.67 cnf(i_0_942812, plain, (product(e_1,e_3,e_2)), inference(extension_rule, [i_0_65])).
% 247.52/31.67 cnf(i_0_942852, plain, (equalish(e_2,e_1)), inference(closure_rule, [i_0_46])).
% 247.52/31.67 cnf(i_0_942854, plain, (~product(e_2,e_3,e_2)), inference(extension_rule, [i_0_36])).
% 247.52/31.67 cnf(i_0_942866, plain, (~group_element(e_2)), inference(closure_rule, [i_0_38])).
% 247.52/31.67 cnf(i_0_942867, plain, (~group_element(e_2)), inference(closure_rule, [i_0_38])).
% 247.52/31.67 cnf(i_0_942813, plain, (product(e_1,e_2,e_2)), inference(extension_rule, [i_0_63])).
% 247.52/31.67 cnf(i_0_942951, plain, (equalish(e_1,e_2)), inference(closure_rule, [i_0_42])).
% 247.52/31.67 cnf(i_0_942953, plain, (~product(e_1,e_2,e_1)), inference(extension_rule, [i_0_35])).
% 247.52/31.67 cnf(i_0_942976, plain, (~group_element(e_1)), inference(closure_rule, [i_0_37])).
% 247.52/31.67 cnf(i_0_942977, plain, (~group_element(e_2)), inference(closure_rule, [i_0_38])).
% 247.52/31.67 cnf(i_0_197300, plain, (product(e_1,e_1,e_1)), inference(extension_rule, [i_0_67])).
% 247.52/31.67 cnf(i_0_942978, plain, (equalish(e_2,e_1)), inference(closure_rule, [i_0_46])).
% 247.52/31.67 cnf(i_0_942981, plain, (~product(e_1,e_1,e_1)), inference(closure_rule, [i_0_66])).
% 247.52/31.67 cnf(i_0_197309, plain, (product(e_1,e_1,e_5)), inference(etableau_closure_rule, [i_0_197309, ...])).
% 247.52/31.67 cnf(i_0_197310, plain, (product(e_1,e_1,e_4)), inference(etableau_closure_rule, [i_0_197310, ...])).
% 247.52/31.67 cnf(i_0_197311, plain, (product(e_1,e_1,e_3)), inference(etableau_closure_rule, [i_0_197311, ...])).
% 247.52/31.67 cnf(i_0_942980, plain, (~product(e_1,e_2,e_5)), inference(extension_rule, [i_0_62])).
% 247.52/31.67 cnf(i_0_1077329, plain, (product(e_1,e_2,e_2)), inference(closure_rule, [i_0_138])).
% 247.52/31.67 cnf(i_0_1077331, plain, (~group_element(e_2)), inference(closure_rule, [i_0_38])).
% 247.52/31.67 cnf(i_0_1077332, plain, (~group_element(e_1)), inference(closure_rule, [i_0_37])).
% 247.52/31.67 cnf(i_0_1077327, plain, (product(e_1,e_2,e_4)), inference(extension_rule, [i_0_68])).
% 247.52/31.67 cnf(i_0_1077333, plain, (equalish(e_1,e_4)), inference(closure_rule, [i_0_44])).
% 247.52/31.67 cnf(i_0_1077335, plain, (~product(e_1,e_1,e_1)), inference(closure_rule, [i_0_66])).
% 247.52/31.67 cnf(i_0_1077337, plain, (~product(e_1,e_1,e_1)), inference(closure_rule, [i_0_66])).
% 247.52/31.67 cnf(i_0_1077336, plain, (~product(e_2,e_4,e_1)), inference(extension_rule, [i_0_36])).
% 247.52/31.67 cnf(i_0_1077346, plain, (~group_element(e_1)), inference(closure_rule, [i_0_37])).
% 247.52/31.67 cnf(i_0_1077347, plain, (~group_element(e_2)), inference(closure_rule, [i_0_38])).
% 247.52/31.67 cnf(i_0_1077328, plain, (product(e_1,e_2,e_3)), inference(extension_rule, [i_0_65])).
% 247.52/31.67 cnf(i_0_1077348, plain, (equalish(e_2,e_1)), inference(closure_rule, [i_0_46])).
% 247.52/31.67 cnf(i_0_1077350, plain, (~product(e_2,e_2,e_3)), inference(extension_rule, [i_0_62])).
% 247.52/31.67 cnf(i_0_1077374, plain, (~group_element(e_2)), inference(closure_rule, [i_0_38])).
% 247.52/31.67 cnf(i_0_1077375, plain, (~group_element(e_2)), inference(closure_rule, [i_0_38])).
% 247.52/31.67 cnf(i_0_1077330, plain, (product(e_1,e_2,e_1)), inference(extension_rule, [i_0_64])).
% 247.52/31.67 cnf(i_0_1077376, plain, (equalish(e_1,e_2)), inference(closure_rule, [i_0_42])).
% 247.52/31.67 cnf(i_0_1077378, plain, (~product(e_1,e_1,e_1)), inference(closure_rule, [i_0_66])).
% 247.52/31.67 cnf(i_0_942982, plain, (~product(e_2,e_5,e_1)), inference(extension_rule, [i_0_35])).
% 247.52/31.67 cnf(i_0_1077386, plain, (product(e_1,e_5,e_1)), inference(closure_rule, [i_0_161])).
% 247.52/31.67 cnf(i_0_1077387, plain, (~group_element(e_1)), inference(closure_rule, [i_0_37])).
% 247.52/31.67 cnf(i_0_1077388, plain, (~group_element(e_5)), inference(closure_rule, [i_0_41])).
% 247.52/31.67 cnf(i_0_1077382, plain, (product(e_5,e_5,e_1)), inference(extension_rule, [i_0_63])).
% 247.52/31.67 cnf(i_0_1077389, plain, (equalish(e_2,e_1)), inference(closure_rule, [i_0_46])).
% 247.52/31.67 cnf(i_0_1077391, plain, (~product(e_5,e_5,e_2)), inference(extension_rule, [i_0_36])).
% 247.52/31.67 cnf(i_0_1077407, plain, (~group_element(e_2)), inference(closure_rule, [i_0_38])).
% 247.52/31.67 cnf(i_0_1077408, plain, (~group_element(e_5)), inference(closure_rule, [i_0_41])).
% 247.52/31.67 cnf(i_0_1077383, plain, (product(e_4,e_5,e_1)), inference(extension_rule, [i_0_67])).
% 247.52/31.67 cnf(i_0_1077409, plain, (equalish(e_1,e_5)), inference(closure_rule, [i_0_45])).
% 247.52/31.67 cnf(i_0_1077413, plain, (~product(e_1,e_1,e_1)), inference(closure_rule, [i_0_66])).
% 247.52/31.67 cnf(i_0_1077411, plain, (~product(e_4,e_1,e_1)), inference(extension_rule, [i_0_62])).
% 247.52/31.67 cnf(i_0_1077427, plain, (~group_element(e_1)), inference(closure_rule, [i_0_37])).
% 247.52/31.67 cnf(i_0_1077428, plain, (~group_element(e_4)), inference(closure_rule, [i_0_40])).
% 247.52/31.67 cnf(i_0_1077412, plain, (~product(e_5,e_1,e_1)), inference(extension_rule, [i_0_36])).
% 247.52/31.67 cnf(i_0_1077453, plain, (product(e_5,e_2,e_1)), inference(closure_rule, [i_0_197513])).
% 247.52/31.67 cnf(i_0_1077455, plain, (~group_element(e_1)), inference(closure_rule, [i_0_37])).
% 247.52/31.67 cnf(i_0_1077456, plain, (~group_element(e_5)), inference(closure_rule, [i_0_41])).
% 247.52/31.67 cnf(i_0_1077384, plain, (product(e_3,e_5,e_1)), inference(extension_rule, [i_0_68])).
% 247.52/31.67 cnf(i_0_1077457, plain, (equalish(e_2,e_1)), inference(closure_rule, [i_0_46])).
% 247.52/31.67 cnf(i_0_1077461, plain, (~product(e_2,e_2,e_2)), inference(closure_rule, [i_0_66])).
% 247.52/31.67 cnf(i_0_1077459, plain, (~product(e_3,e_2,e_2)), inference(extension_rule, [i_0_62])).
% 247.52/31.67 cnf(i_0_1077488, plain, (~group_element(e_2)), inference(closure_rule, [i_0_38])).
% 247.52/31.67 cnf(i_0_1077489, plain, (~group_element(e_3)), inference(closure_rule, [i_0_39])).
% 247.52/31.67 cnf(i_0_1077460, plain, (~product(e_5,e_1,e_2)), inference(extension_rule, [i_0_35])).
% 247.52/31.67 cnf(i_0_1077500, plain, (product(e_1,e_1,e_2)), inference(closure_rule, [i_0_197506])).
% 247.52/31.67 cnf(i_0_1077501, plain, (~group_element(e_2)), inference(closure_rule, [i_0_38])).
% 247.52/31.67 cnf(i_0_1077502, plain, (~group_element(e_1)), inference(closure_rule, [i_0_37])).
% 247.52/31.67 cnf(i_0_197313, plain, (product(e_1,e_1,e_1)), inference(extension_rule, [i_0_65])).
% 247.52/31.67 cnf(i_0_1077503, plain, (equalish(e_2,e_1)), inference(closure_rule, [i_0_46])).
% 247.52/31.67 cnf(i_0_197356, plain, (product(e_1,e_2,e_5)), inference(etableau_closure_rule, [i_0_197356, ...])).
% 247.52/31.67 cnf(i_0_197357, plain, (product(e_1,e_2,e_4)), inference(etableau_closure_rule, [i_0_197357, ...])).
% 247.52/31.67 cnf(i_0_197358, plain, (product(e_1,e_2,e_3)), inference(etableau_closure_rule, [i_0_197358, ...])).
% 247.52/31.67 cnf(i_0_197360, plain, (product(e_1,e_2,e_1)), inference(etableau_closure_rule, [i_0_197360, ...])).
% 247.52/31.67 cnf(i_0_197396, plain, (product(e_1,e_2,e_5)), inference(etableau_closure_rule, [i_0_197396, ...])).
% 247.52/31.67 cnf(i_0_197397, plain, (product(e_1,e_2,e_4)), inference(etableau_closure_rule, [i_0_197397, ...])).
% 247.52/31.67 cnf(i_0_197398, plain, (product(e_1,e_2,e_3)), inference(etableau_closure_rule, [i_0_197398, ...])).
% 247.52/31.67 cnf(i_0_197400, plain, (product(e_1,e_2,e_1)), inference(etableau_closure_rule, [i_0_197400, ...])).
% 247.52/31.67 cnf(i_0_725019, plain, (product(e_5,e_1,e_5)), inference(etableau_closure_rule, [i_0_725019, ...])).
% 247.52/31.67 cnf(i_0_725020, plain, (product(e_4,e_1,e_5)), inference(etableau_closure_rule, [i_0_725020, ...])).
% 247.52/31.67 cnf(i_0_725021, plain, (product(e_3,e_1,e_5)), inference(etableau_closure_rule, [i_0_725021, ...])).
% 247.52/31.67 cnf(i_0_725022, plain, (product(e_2,e_1,e_5)), inference(etableau_closure_rule, [i_0_725022, ...])).
% 247.52/31.67 cnf(i_0_725129, plain, (product(e_5,e_3,e_5)), inference(etableau_closure_rule, [i_0_725129, ...])).
% 247.52/31.67 cnf(i_0_725130, plain, (product(e_5,e_3,e_4)), inference(etableau_closure_rule, [i_0_725130, ...])).
% 247.52/31.67 cnf(i_0_725131, plain, (product(e_5,e_3,e_3)), inference(etableau_closure_rule, [i_0_725131, ...])).
% 247.52/31.67 cnf(i_0_725132, plain, (product(e_5,e_3,e_2)), inference(etableau_closure_rule, [i_0_725132, ...])).
% 247.52/31.67 cnf(i_0_725155, plain, (product(e_4,e_2,e_1)), inference(etableau_closure_rule, [i_0_725155, ...])).
% 247.52/31.67 cnf(i_0_725156, plain, (product(e_3,e_2,e_1)), inference(etableau_closure_rule, [i_0_725156, ...])).
% 247.52/31.67 cnf(i_0_725157, plain, (product(e_2,e_2,e_1)), inference(etableau_closure_rule, [i_0_725157, ...])).
% 247.52/31.67 cnf(i_0_725158, plain, (product(e_1,e_2,e_1)), inference(etableau_closure_rule, [i_0_725158, ...])).
% 247.52/31.67 cnf(i_0_725172, plain, (product(e_2,e_4,e_4)), inference(etableau_closure_rule, [i_0_725172, ...])).
% 247.52/31.67 cnf(i_0_725173, plain, (product(e_2,e_3,e_4)), inference(etableau_closure_rule, [i_0_725173, ...])).
% 247.52/31.67 cnf(i_0_725174, plain, (product(e_2,e_2,e_4)), inference(etableau_closure_rule, [i_0_725174, ...])).
% 247.52/31.67 cnf(i_0_725175, plain, (product(e_2,e_1,e_4)), inference(etableau_closure_rule, [i_0_725175, ...])).
% 247.52/31.67 cnf(i_0_1077505, plain, (~product(e_2,e_1,e_1)), inference(extension_rule, [i_0_36])).
% 247.52/31.67 cnf(i_0_1077792, plain, (~group_element(e_1)), inference(closure_rule, [i_0_37])).
% 247.52/31.67 cnf(i_0_1077793, plain, (~group_element(e_2)), inference(closure_rule, [i_0_38])).
% 247.52/31.67 cnf(i_0_1077788, plain, (product(e_2,e_4,e_1)), inference(extension_rule, [i_0_63])).
% 247.52/31.67 cnf(i_0_1077877, plain, (equalish(e_2,e_1)), inference(closure_rule, [i_0_46])).
% 247.52/31.67 cnf(i_0_1077879, plain, (~product(e_2,e_4,e_2)), inference(extension_rule, [i_0_36])).
% 247.52/31.67 cnf(i_0_1077912, plain, (~group_element(e_2)), inference(closure_rule, [i_0_38])).
% 247.52/31.67 cnf(i_0_1077913, plain, (~group_element(e_2)), inference(closure_rule, [i_0_38])).
% 247.52/31.67 cnf(i_0_1077789, plain, (product(e_2,e_3,e_1)), inference(extension_rule, [i_0_67])).
% 247.52/31.67 cnf(i_0_1077914, plain, (equalish(e_1,e_3)), inference(closure_rule, [i_0_43])).
% 247.52/31.67 cnf(i_0_1077916, plain, (~product(e_2,e_1,e_5)), inference(extension_rule, [i_0_62])).
% 247.52/31.67 cnf(i_0_1077928, plain, (product(e_2,e_1,e_1)), inference(closure_rule, [i_0_1077505])).
% 247.52/31.67 cnf(i_0_1077929, plain, (~group_element(e_1)), inference(closure_rule, [i_0_37])).
% 247.52/31.67 cnf(i_0_1077930, plain, (~group_element(e_2)), inference(closure_rule, [i_0_38])).
% 247.52/31.67 cnf(i_0_1077917, plain, (~product(e_3,e_1,e_2)), inference(extension_rule, [i_0_35])).
% 247.52/31.67 cnf(i_0_1077940, plain, (product(e_1,e_1,e_2)), inference(closure_rule, [i_0_197305])).
% 247.52/31.67 cnf(i_0_1077941, plain, (~group_element(e_2)), inference(closure_rule, [i_0_38])).
% 247.52/31.67 cnf(i_0_1077942, plain, (~group_element(e_1)), inference(closure_rule, [i_0_37])).
% 247.52/31.67 cnf(i_0_1077918, plain, (~product(e_1,e_5,e_2)), inference(extension_rule, [i_0_62])).
% 247.52/31.67 cnf(i_0_1077974, plain, (~group_element(e_5)), inference(closure_rule, [i_0_41])).
% 247.52/31.67 cnf(i_0_1077975, plain, (~group_element(e_1)), inference(closure_rule, [i_0_37])).
% 247.52/31.67 cnf(i_0_1077790, plain, (product(e_2,e_2,e_1)), inference(extension_rule, [i_0_68])).
% 247.52/31.67 cnf(i_0_1077976, plain, (equalish(e_2,e_1)), inference(closure_rule, [i_0_46])).
% 247.52/31.67 cnf(i_0_1077978, plain, (~product(e_2,e_2,e_2)), inference(closure_rule, [i_0_66])).
% 247.52/31.67 cnf(i_0_1077980, plain, (~product(e_2,e_2,e_2)), inference(closure_rule, [i_0_66])).
% 247.52/31.67 cnf(i_0_1077979, plain, (~product(e_2,e_1,e_2)), inference(extension_rule, [i_0_35])).
% 247.52/31.67 cnf(i_0_1078006, plain, (product(e_1,e_1,e_2)), inference(closure_rule, [i_0_197305])).
% 247.52/31.67 cnf(i_0_1078007, plain, (~group_element(e_2)), inference(closure_rule, [i_0_38])).
% 247.52/31.67 cnf(i_0_1078008, plain, (~group_element(e_1)), inference(closure_rule, [i_0_37])).
% 247.52/31.67 cnf(i_0_1077787, plain, (product(e_2,e_5,e_1)), inference(extension_rule, [i_0_65])).
% 247.52/31.67 cnf(i_0_1078009, plain, (equalish(e_1,e_2)), inference(closure_rule, [i_0_42])).
% 247.52/31.67 cnf(i_0_1078011, plain, (~product(e_1,e_5,e_1)), inference(extension_rule, [i_0_62])).
% 247.52/31.67 cnf(i_0_1078033, plain, (product(e_1,e_5,e_2)), inference(closure_rule, [i_0_943046])).
% 247.52/31.67 cnf(i_0_1078035, plain, (~group_element(e_5)), inference(closure_rule, [i_0_41])).
% 247.52/31.67 cnf(i_0_1078036, plain, (~group_element(e_1)), inference(closure_rule, [i_0_37])).
% 247.52/31.67 cnf(i_0_324508, plain, (product(e_5,e_4,e_1)), inference(extension_rule, [i_0_64])).
% 247.52/31.67 cnf(i_0_1078038, plain, (~product(e_5,e_4,e_1)), inference(closure_rule, [i_0_324508])).
% 247.52/31.67 # End printing tableau
% 247.52/31.67 # SZS output end
% 247.52/31.67 # Branches closed with saturation will be marked with an "s"
% 247.52/31.72 # Child (18871) has found a proof.
% 247.52/31.72
% 247.52/31.72 # Proof search is over...
% 247.52/31.72 # Freeing feature tree
%------------------------------------------------------------------------------