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Metis---2.4.SAT-Sat.s

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Process solution in
SystemOnTSTP
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%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : GRP128-1.004 : TPTP v8.1.0. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n020.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 10:36:46 EDT 2022

% Result   : Satisfiable 93.05s 93.22s
% Output   : Saturation 93.14s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.11  % Problem  : GRP128-1.004 : TPTP v8.1.0. Released v1.2.0.
% 0.12/0.12  % Command  : metis --show proof --show saturation %s
% 0.13/0.33  % Computer : n020.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Mon Jun 13 09:45:50 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 93.05/93.22  % SZS status Satisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 93.05/93.22  
% 93.05/93.22  SZS output start Saturation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 93.05/93.22  |- group_element e_1
% 93.05/93.22  |- group_element e_2
% 93.05/93.22  |- group_element e_3
% 93.05/93.22  |- group_element e_4
% 93.05/93.22  |- ~(e_1 == e_2)
% 93.05/93.22  |- ~(e_1 == e_3)
% 93.05/93.22  |- ~(e_1 == e_4)
% 93.05/93.22  |- ~(e_2 == e_1)
% 93.05/93.22  |- ~(e_2 == e_3)
% 93.05/93.22  |- ~(e_2 == e_4)
% 93.05/93.22  |- ~(e_3 == e_1)
% 93.05/93.22  |- ~(e_3 == e_2)
% 93.05/93.22  |- ~(e_3 == e_4)
% 93.05/93.22  |- ~(e_4 == e_1)
% 93.05/93.22  |- ~(e_4 == e_2)
% 93.05/93.22  |- ~(e_4 == e_3)
% 93.05/93.22  |- ~group_element $X \/ ~group_element $Y \/ product $X $Y e_1 \/
% 93.05/93.22     product $X $Y e_2 \/ product $X $Y e_3 \/ product $X $Y e_4
% 93.05/93.22  |- ~product $X $Y $W \/ ~product $X $Y $Z \/ $W == $Z
% 93.05/93.22  |- ~product $X $W $Y \/ ~product $X $Z $Y \/ $W == $Z
% 93.05/93.22  |- ~product $W $Y $X \/ ~product $Z $Y $X \/ $W == $Z
% 93.05/93.22  |- ~product $X $Y $Z \/ $Z == $Z
% 93.05/93.22  |- ~product $X $Z $Y \/ $Z == $Z
% 93.05/93.22  |- ~product $Z $Y $X \/ $Z == $Z
% 93.05/93.22  |- ~group_element $Y \/ product $Y $Y e_1 \/ product $Y $Y e_2 \/
% 93.05/93.22     product $Y $Y e_3 \/ product $Y $Y e_4
% 93.05/93.22  |- ~product $X $Y $Z1 \/ ~product $Z1 $Y $Z2 \/ product $X $Z1 $Z2
% 93.05/93.22  |- ~product $Z2 $Y $Z2 \/ product $Z2 $Z2 $Z2
% 93.05/93.22  |- product e_3 e_3 e_1 \/ product e_3 e_3 e_2 \/ product e_3 e_3 e_3 \/
% 93.05/93.22     product e_3 e_3 e_4
% 93.05/93.22  |- product e_4 e_4 e_1 \/ product e_4 e_4 e_2 \/ product e_4 e_4 e_3 \/
% 93.05/93.22     product e_4 e_4 e_4
% 93.05/93.22  |- ~product $W e_3 e_4 \/ $W == e_3 \/ product e_3 e_3 e_1 \/
% 93.05/93.22     product e_3 e_3 e_2 \/ product e_3 e_3 e_3
% 93.05/93.22  |- ~product $Z e_3 e_4 \/ e_3 == $Z \/ product e_3 e_3 e_1 \/
% 93.05/93.22     product e_3 e_3 e_2 \/ product e_3 e_3 e_3
% 93.05/93.22  |- ~product e_3 $W e_4 \/ $W == e_3 \/ product e_3 e_3 e_1 \/
% 93.05/93.22     product e_3 e_3 e_2 \/ product e_3 e_3 e_3
% 93.05/93.22  |- ~product e_3 $Z e_4 \/ e_3 == $Z \/ product e_3 e_3 e_1 \/
% 93.05/93.22     product e_3 e_3 e_2 \/ product e_3 e_3 e_3
% 93.05/93.22  |- ~product e_3 e_3 $W \/ $W == e_4 \/ product e_3 e_3 e_1 \/
% 93.05/93.22     product e_3 e_3 e_2 \/ product e_3 e_3 e_3
% 93.05/93.22  |- ~product e_3 e_3 $Z \/ e_4 == $Z \/ product e_3 e_3 e_1 \/
% 93.05/93.22     product e_3 e_3 e_2 \/ product e_3 e_3 e_3
% 93.05/93.22  |- ~product $W e_4 e_4 \/ $W == e_4 \/ product e_4 e_4 e_1 \/
% 93.05/93.22     product e_4 e_4 e_2 \/ product e_4 e_4 e_3
% 93.05/93.22  |- ~product $Z e_4 e_4 \/ e_4 == $Z \/ product e_4 e_4 e_1 \/
% 93.05/93.22     product e_4 e_4 e_2 \/ product e_4 e_4 e_3
% 93.05/93.22  |- ~product e_4 $W e_4 \/ $W == e_4 \/ product e_4 e_4 e_1 \/
% 93.05/93.22     product e_4 e_4 e_2 \/ product e_4 e_4 e_3
% 93.05/93.22  |- ~product e_4 $Z e_4 \/ e_4 == $Z \/ product e_4 e_4 e_1 \/
% 93.05/93.22     product e_4 e_4 e_2 \/ product e_4 e_4 e_3
% 93.05/93.22  |- ~product e_4 e_4 $W \/ $W == e_4 \/ product e_4 e_4 e_1 \/
% 93.05/93.22     product e_4 e_4 e_2 \/ product e_4 e_4 e_3
% 93.05/93.22  |- ~product e_4 e_4 $Z \/ e_4 == $Z \/ product e_4 e_4 e_1 \/
% 93.05/93.22     product e_4 e_4 e_2 \/ product e_4 e_4 e_3
% 93.05/93.22  |- e_4 == e_4
% 93.05/93.22  |- e_1 == e_1
% 93.05/93.22  |- e_2 == e_2
% 93.05/93.22  |- e_3 == e_3
% 93.05/93.22  |- ~product $_24 e_3 e_3 \/ product $_24 e_3 e_4 \/ product e_3 e_3 e_1 \/
% 93.05/93.22     product e_3 e_3 e_2 \/ product e_3 e_3 e_3
% 93.05/93.22  |- ~group_element $_38 \/ product e_1 $_38 e_1 \/ product e_1 $_38 e_2 \/
% 93.05/93.22     product e_1 $_38 e_3 \/ product e_1 $_38 e_4
% 93.05/93.22  |- ~group_element $_38 \/ product e_2 $_38 e_1 \/ product e_2 $_38 e_2 \/
% 93.05/93.22     product e_2 $_38 e_3 \/ product e_2 $_38 e_4
% 93.05/93.22  |- ~group_element $_38 \/ product e_3 $_38 e_1 \/ product e_3 $_38 e_2 \/
% 93.05/93.22     product e_3 $_38 e_3 \/ product e_3 $_38 e_4
% 93.05/93.22  |- ~group_element $_38 \/ product e_4 $_38 e_1 \/ product e_4 $_38 e_2 \/
% 93.05/93.22     product e_4 $_38 e_3 \/ product e_4 $_38 e_4
% 93.05/93.22  |- ~group_element $_37 \/ product $_37 e_1 e_1 \/ product $_37 e_1 e_2 \/
% 93.05/93.22     product $_37 e_1 e_3 \/ product $_37 e_1 e_4
% 93.05/93.22  |- ~group_element $_37 \/ product $_37 e_2 e_1 \/ product $_37 e_2 e_2 \/
% 93.05/93.22     product $_37 e_2 e_3 \/ product $_37 e_2 e_4
% 93.05/93.22  |- ~group_element $_37 \/ product $_37 e_3 e_1 \/ product $_37 e_3 e_2 \/
% 93.05/93.22     product $_37 e_3 e_3 \/ product $_37 e_3 e_4
% 93.05/93.22  |- ~group_element $_37 \/ product $_37 e_4 e_1 \/ product $_37 e_4 e_2 \/
% 93.05/93.22     product $_37 e_4 e_3 \/ product $_37 e_4 e_4
% 93.05/93.22  |- product e_1 e_3 e_1 \/ product e_1 e_3 e_2 \/ product e_1 e_3 e_3 \/
% 93.05/93.22     product e_1 e_3 e_4
% 93.05/93.22  |- ~product $X e_3 e_1 \/ product $X e_1 e_4 \/ product e_1 e_3 e_1 \/
% 93.05/93.22     product e_1 e_3 e_2 \/ product e_1 e_3 e_3
% 93.05/93.22  |- ~product $W e_3 e_4 \/ $W == e_1 \/ product e_1 e_3 e_1 \/
% 93.05/93.22     product e_1 e_3 e_2 \/ product e_1 e_3 e_3
% 93.05/93.22  |- ~product $Z e_3 e_4 \/ e_1 == $Z \/ product e_1 e_3 e_1 \/
% 93.05/93.22     product e_1 e_3 e_2 \/ product e_1 e_3 e_3
% 93.05/93.22  |- ~product e_1 $W e_4 \/ $W == e_3 \/ product e_1 e_3 e_1 \/
% 93.05/93.22     product e_1 e_3 e_2 \/ product e_1 e_3 e_3
% 93.05/93.22  |- ~product e_1 $Z e_4 \/ e_3 == $Z \/ product e_1 e_3 e_1 \/
% 93.05/93.22     product e_1 e_3 e_2 \/ product e_1 e_3 e_3
% 93.05/93.22  |- ~product e_1 e_3 $W \/ $W == e_4 \/ product e_1 e_3 e_1 \/
% 93.05/93.22     product e_1 e_3 e_2 \/ product e_1 e_3 e_3
% 93.05/93.22  |- ~product e_1 e_3 $Z \/ e_4 == $Z \/ product e_1 e_3 e_1 \/
% 93.05/93.22     product e_1 e_3 e_2 \/ product e_1 e_3 e_3
% 93.05/93.22  |- product e_2 e_1 e_1 \/ product e_2 e_1 e_2 \/ product e_2 e_1 e_3 \/
% 93.05/93.22     product e_2 e_1 e_4
% 93.05/93.22  |- product e_2 e_3 e_1 \/ product e_2 e_3 e_2 \/ product e_2 e_3 e_3 \/
% 93.05/93.22     product e_2 e_3 e_4
% 93.05/93.22  |- ~product $X e_1 e_2 \/ product $X e_2 e_4 \/ product e_2 e_1 e_1 \/
% 93.05/93.22     product e_2 e_1 e_2 \/ product e_2 e_1 e_3
% 93.05/93.22  |- ~product $W e_1 e_4 \/ $W == e_2 \/ product e_2 e_1 e_1 \/
% 93.05/93.22     product e_2 e_1 e_2 \/ product e_2 e_1 e_3
% 93.05/93.22  |- ~product $Z e_1 e_4 \/ e_2 == $Z \/ product e_2 e_1 e_1 \/
% 93.05/93.22     product e_2 e_1 e_2 \/ product e_2 e_1 e_3
% 93.05/93.22  |- ~product e_2 $W e_4 \/ $W == e_1 \/ product e_2 e_1 e_1 \/
% 93.05/93.22     product e_2 e_1 e_2 \/ product e_2 e_1 e_3
% 93.05/93.22  |- ~product e_2 $Z e_4 \/ e_1 == $Z \/ product e_2 e_1 e_1 \/
% 93.05/93.22     product e_2 e_1 e_2 \/ product e_2 e_1 e_3
% 93.05/93.22  |- ~product e_2 e_1 $W \/ $W == e_4 \/ product e_2 e_1 e_1 \/
% 93.05/93.22     product e_2 e_1 e_2 \/ product e_2 e_1 e_3
% 93.05/93.22  |- ~product e_2 e_1 $Z \/ e_4 == $Z \/ product e_2 e_1 e_1 \/
% 93.05/93.22     product e_2 e_1 e_2 \/ product e_2 e_1 e_3
% 93.05/93.22  |- ~product $X e_3 e_2 \/ product $X e_2 e_4 \/ product e_2 e_3 e_1 \/
% 93.05/93.22     product e_2 e_3 e_2 \/ product e_2 e_3 e_3
% 93.05/93.22  |- ~product $W e_3 e_4 \/ $W == e_2 \/ product e_2 e_3 e_1 \/
% 93.05/93.22     product e_2 e_3 e_2 \/ product e_2 e_3 e_3
% 93.05/93.22  |- ~product $Z e_3 e_4 \/ e_2 == $Z \/ product e_2 e_3 e_1 \/
% 93.05/93.22     product e_2 e_3 e_2 \/ product e_2 e_3 e_3
% 93.05/93.22  |- ~product e_2 $W e_4 \/ $W == e_3 \/ product e_2 e_3 e_1 \/
% 93.05/93.22     product e_2 e_3 e_2 \/ product e_2 e_3 e_3
% 93.05/93.22  |- ~product e_2 $Z e_4 \/ e_3 == $Z \/ product e_2 e_3 e_1 \/
% 93.05/93.22     product e_2 e_3 e_2 \/ product e_2 e_3 e_3
% 93.05/93.22  |- ~product e_2 e_3 $W \/ $W == e_4 \/ product e_2 e_3 e_1 \/
% 93.05/93.22     product e_2 e_3 e_2 \/ product e_2 e_3 e_3
% 93.05/93.22  |- ~product e_2 e_3 $Z \/ e_4 == $Z \/ product e_2 e_3 e_1 \/
% 93.05/93.22     product e_2 e_3 e_2 \/ product e_2 e_3 e_3
% 93.05/93.22  |- product e_3 e_1 e_1 \/ product e_3 e_1 e_2 \/ product e_3 e_1 e_3 \/
% 93.05/93.22     product e_3 e_1 e_4
% 93.05/93.22  |- product e_3 e_2 e_1 \/ product e_3 e_2 e_2 \/ product e_3 e_2 e_3 \/
% 93.05/93.22     product e_3 e_2 e_4
% 93.05/93.22  |- ~product $X e_1 e_3 \/ product $X e_3 e_4 \/ product e_3 e_1 e_1 \/
% 93.05/93.22     product e_3 e_1 e_2 \/ product e_3 e_1 e_3
% 93.05/93.22  |- ~product $W e_1 e_4 \/ $W == e_3 \/ product e_3 e_1 e_1 \/
% 93.05/93.22     product e_3 e_1 e_2 \/ product e_3 e_1 e_3
% 93.05/93.22  |- ~product $Z e_1 e_4 \/ e_3 == $Z \/ product e_3 e_1 e_1 \/
% 93.05/93.22     product e_3 e_1 e_2 \/ product e_3 e_1 e_3
% 93.05/93.22  |- ~product e_3 $W e_4 \/ $W == e_1 \/ product e_3 e_1 e_1 \/
% 93.05/93.22     product e_3 e_1 e_2 \/ product e_3 e_1 e_3
% 93.05/93.22  |- ~product e_3 $Z e_4 \/ e_1 == $Z \/ product e_3 e_1 e_1 \/
% 93.05/93.22     product e_3 e_1 e_2 \/ product e_3 e_1 e_3
% 93.05/93.22  |- ~product e_3 e_1 $W \/ $W == e_4 \/ product e_3 e_1 e_1 \/
% 93.05/93.22     product e_3 e_1 e_2 \/ product e_3 e_1 e_3
% 93.05/93.22  |- ~product e_3 e_1 $Z \/ e_4 == $Z \/ product e_3 e_1 e_1 \/
% 93.05/93.22     product e_3 e_1 e_2 \/ product e_3 e_1 e_3
% 93.05/93.22  |- ~product $X e_2 e_3 \/ product $X e_3 e_4 \/ product e_3 e_2 e_1 \/
% 93.05/93.22     product e_3 e_2 e_2 \/ product e_3 e_2 e_3
% 93.05/93.22  |- ~product $W e_2 e_4 \/ $W == e_3 \/ product e_3 e_2 e_1 \/
% 93.05/93.22     product e_3 e_2 e_2 \/ product e_3 e_2 e_3
% 93.05/93.22  |- ~product $Z e_2 e_4 \/ e_3 == $Z \/ product e_3 e_2 e_1 \/
% 93.05/93.22     product e_3 e_2 e_2 \/ product e_3 e_2 e_3
% 93.05/93.22  |- ~product e_3 $W e_4 \/ $W == e_2 \/ product e_3 e_2 e_1 \/
% 93.05/93.22     product e_3 e_2 e_2 \/ product e_3 e_2 e_3
% 93.05/93.23  |- ~product e_3 $Z e_4 \/ e_2 == $Z \/ product e_3 e_2 e_1 \/
% 93.05/93.23     product e_3 e_2 e_2 \/ product e_3 e_2 e_3
% 93.05/93.23  |- ~product e_3 e_2 $W \/ $W == e_4 \/ product e_3 e_2 e_1 \/
% 93.05/93.23     product e_3 e_2 e_2 \/ product e_3 e_2 e_3
% 93.05/93.23  |- ~product e_3 e_2 $Z \/ e_4 == $Z \/ product e_3 e_2 e_1 \/
% 93.05/93.23     product e_3 e_2 e_2 \/ product e_3 e_2 e_3
% 93.05/93.23  |- product e_1 e_3 e_1 \/ product e_1 e_3 e_2 \/ product e_1 e_3 e_3 \/
% 93.05/93.23     product e_3 e_3 e_1 \/ product e_3 e_3 e_2 \/ product e_3 e_3 e_3
% 93.05/93.23  |- product e_2 e_3 e_1 \/ product e_2 e_3 e_2 \/ product e_2 e_3 e_3 \/
% 93.05/93.23     product e_3 e_3 e_1 \/ product e_3 e_3 e_2 \/ product e_3 e_3 e_3
% 93.05/93.23  |- ~product $W e_3 e_3 \/ $W == e_3 \/ product e_1 e_3 e_1 \/
% 93.05/93.23     product e_1 e_3 e_2 \/ product e_1 e_3 e_3 \/ product e_3 e_3 e_1 \/
% 93.05/93.23     product e_3 e_3 e_2
% 93.05/93.23  |- ~product $Z e_3 e_3 \/ e_3 == $Z \/ product e_1 e_3 e_1 \/
% 93.05/93.23     product e_1 e_3 e_2 \/ product e_1 e_3 e_3 \/ product e_3 e_3 e_1 \/
% 93.05/93.23     product e_3 e_3 e_2
% 93.05/93.23  |- ~product e_3 $W e_3 \/ $W == e_3 \/ product e_1 e_3 e_1 \/
% 93.05/93.23     product e_1 e_3 e_2 \/ product e_1 e_3 e_3 \/ product e_3 e_3 e_1 \/
% 93.05/93.23     product e_3 e_3 e_2
% 93.05/93.23  |- ~product e_3 $Z e_3 \/ e_3 == $Z \/ product e_1 e_3 e_1 \/
% 93.05/93.23     product e_1 e_3 e_2 \/ product e_1 e_3 e_3 \/ product e_3 e_3 e_1 \/
% 93.05/93.23     product e_3 e_3 e_2
% 93.05/93.23  |- ~product e_3 e_3 $W \/ $W == e_3 \/ product e_1 e_3 e_1 \/
% 93.05/93.23     product e_1 e_3 e_2 \/ product e_1 e_3 e_3 \/ product e_3 e_3 e_1 \/
% 93.05/93.23     product e_3 e_3 e_2
% 93.05/93.23  |- ~product e_3 e_3 $Z \/ e_3 == $Z \/ product e_1 e_3 e_1 \/
% 93.05/93.23     product e_1 e_3 e_2 \/ product e_1 e_3 e_3 \/ product e_3 e_3 e_1 \/
% 93.05/93.23     product e_3 e_3 e_2
% 93.05/93.23  |- ~product $W e_3 e_3 \/ $W == e_3 \/ product e_2 e_3 e_1 \/
% 93.05/93.23     product e_2 e_3 e_2 \/ product e_2 e_3 e_3 \/ product e_3 e_3 e_1 \/
% 93.05/93.23     product e_3 e_3 e_2
% 93.05/93.23  |- ~product $Z e_3 e_3 \/ e_3 == $Z \/ product e_2 e_3 e_1 \/
% 93.05/93.23     product e_2 e_3 e_2 \/ product e_2 e_3 e_3 \/ product e_3 e_3 e_1 \/
% 93.05/93.23     product e_3 e_3 e_2
% 93.05/93.23  |- ~product e_3 $W e_3 \/ $W == e_3 \/ product e_2 e_3 e_1 \/
% 93.05/93.23     product e_2 e_3 e_2 \/ product e_2 e_3 e_3 \/ product e_3 e_3 e_1 \/
% 93.05/93.23     product e_3 e_3 e_2
% 93.05/93.23  |- ~product e_3 $Z e_3 \/ e_3 == $Z \/ product e_2 e_3 e_1 \/
% 93.05/93.23     product e_2 e_3 e_2 \/ product e_2 e_3 e_3 \/ product e_3 e_3 e_1 \/
% 93.05/93.23     product e_3 e_3 e_2
% 93.05/93.23  |- ~product e_3 e_3 $W \/ $W == e_3 \/ product e_2 e_3 e_1 \/
% 93.05/93.23     product e_2 e_3 e_2 \/ product e_2 e_3 e_3 \/ product e_3 e_3 e_1 \/
% 93.05/93.23     product e_3 e_3 e_2
% 93.05/93.23  |- ~product e_3 e_3 $Z \/ e_3 == $Z \/ product e_2 e_3 e_1 \/
% 93.05/93.23     product e_2 e_3 e_2 \/ product e_2 e_3 e_3 \/ product e_3 e_3 e_1 \/
% 93.05/93.23     product e_3 e_3 e_2
% 93.05/93.23  |- product e_3 e_1 e_1 \/ product e_3 e_1 e_2 \/ product e_3 e_1 e_3 \/
% 93.05/93.23     product e_3 e_3 e_1 \/ product e_3 e_3 e_2 \/ product e_3 e_3 e_3
% 93.05/93.23  |- product e_3 e_2 e_1 \/ product e_3 e_2 e_2 \/ product e_3 e_2 e_3 \/
% 93.05/93.23     product e_3 e_3 e_1 \/ product e_3 e_3 e_2 \/ product e_3 e_3 e_3
% 93.05/93.23  |- ~product $W e_3 e_3 \/ $W == e_3 \/ product e_3 e_1 e_1 \/
% 93.05/93.23     product e_3 e_1 e_2 \/ product e_3 e_1 e_3 \/ product e_3 e_3 e_1 \/
% 93.05/93.23     product e_3 e_3 e_2
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% 93.14/93.35     product e_2 e_3 e_1 \/ product e_3 e_3 e_1 \/ product e_3 e_3 e_2
% 93.14/93.35  |- ~product e_3 e_3 $Z \/ e_3 == $Z \/ product e_2 e_2 e_2 \/
% 93.14/93.35     product e_2 e_3 e_1 \/ product e_3 e_3 e_1 \/ product e_3 e_3 e_2
% 93.14/93.35  |- product e_2 e_2 e_2 \/ product e_2 e_3 e_1 \/ product e_3 e_3 e_1 \/
% 93.14/93.35     product e_3 e_3 e_2 \/ product e_4 e_3 e_1 \/ product e_4 e_3 e_2
% 93.14/93.35  |- product e_2 e_2 e_2 \/ product e_2 e_3 e_1 \/ product e_3 e_3 e_1 \/
% 93.14/93.35     product e_3 e_3 e_2 \/ product e_3 e_4 e_1 \/ product e_3 e_4 e_2
% 93.14/93.35  |- ~product $X e_3 e_4 \/ product $X e_4 e_2 \/ product e_2 e_2 e_2 \/
% 93.14/93.35     product e_2 e_3 e_1 \/ product e_3 e_3 e_1 \/ product e_3 e_3 e_2 \/
% 93.14/93.35     product e_4 e_3 e_1
% 93.14/93.35  |- ~product e_2 e_3 $Z2 \/ product e_2 e_2 e_2 \/ product e_2 e_3 e_1 \/
% 93.14/93.35     product e_3 e_3 e_1 \/ product e_3 e_3 e_2 \/ product e_4 e_2 $Z2 \/
% 93.14/93.35     product e_4 e_3 e_1
% 93.14/93.35  |- ~product $W e_3 e_2 \/ $W == e_4 \/ product e_2 e_2 e_2 \/
% 93.14/93.35     product e_2 e_3 e_1 \/ product e_3 e_3 e_1 \/ product e_3 e_3 e_2 \/
% 93.14/93.35     product e_4 e_3 e_1
% 93.14/93.35  |- ~product $Z e_3 e_2 \/ e_4 == $Z \/ product e_2 e_2 e_2 \/
% 93.14/93.35     product e_2 e_3 e_1 \/ product e_3 e_3 e_1 \/ product e_3 e_3 e_2 \/
% 93.14/93.35     product e_4 e_3 e_1
% 93.14/93.35  |- ~product e_4 $W e_2 \/ $W == e_3 \/ product e_2 e_2 e_2 \/
% 93.14/93.35     product e_2 e_3 e_1 \/ product e_3 e_3 e_1 \/ product e_3 e_3 e_2 \/
% 93.14/93.35     product e_4 e_3 e_1
% 93.14/93.35  |- ~product e_4 $Z e_2 \/ e_3 == $Z \/ product e_2 e_2 e_2 \/
% 93.14/93.35     product e_2 e_3 e_1 \/ product e_3 e_3 e_1 \/ product e_3 e_3 e_2 \/
% 93.14/93.35     product e_4 e_3 e_1
% 93.14/93.35  |- ~product e_4 e_3 $W \/ $W == e_2 \/ product e_2 e_2 e_2 \/
% 93.14/93.35     product e_2 e_3 e_1 \/ product e_3 e_3 e_1 \/ product e_3 e_3 e_2 \/
% 93.14/93.35     product e_4 e_3 e_1
% 93.14/93.35  |- ~product e_4 e_3 $Z \/ e_2 == $Z \/ product e_2 e_2 e_2 \/
% 93.14/93.35     product e_2 e_3 e_1 \/ product e_3 e_3 e_1 \/ product e_3 e_3 e_2 \/
% 93.14/93.35     product e_4 e_3 e_1
% 93.14/93.35  |- ~product $X e_4 e_3 \/ product $X e_3 e_2 \/ product e_2 e_2 e_2 \/
% 93.14/93.35     product e_2 e_3 e_1 \/ product e_3 e_3 e_1 \/ product e_3 e_3 e_2 \/
% 93.14/93.35     product e_3 e_4 e_1
% 93.14/93.35  |- ~product e_2 e_4 $Z2 \/ product e_2 e_2 e_2 \/ product e_2 e_3 e_1 \/
% 93.14/93.35     product e_3 e_2 $Z2 \/ product e_3 e_3 e_1 \/ product e_3 e_3 e_2 \/
% 93.14/93.35     product e_3 e_4 e_1
% 93.14/93.35  |- ~product $W e_4 e_2 \/ $W == e_3 \/ product e_2 e_2 e_2 \/
% 93.14/93.35     product e_2 e_3 e_1 \/ product e_3 e_3 e_1 \/ product e_3 e_3 e_2 \/
% 93.14/93.35     product e_3 e_4 e_1
% 93.14/93.35  |- ~product $Z e_4 e_2 \/ e_3 == $Z \/ product e_2 e_2 e_2 \/
% 93.14/93.35     product e_2 e_3 e_1 \/ product e_3 e_3 e_1 \/ product e_3 e_3 e_2 \/
% 93.14/93.35     product e_3 e_4 e_1
% 93.14/93.35  |- ~product e_3 $W e_2 \/ $W == e_4 \/ product e_2 e_2 e_2 \/
% 93.14/93.35     product e_2 e_3 e_1 \/ product e_3 e_3 e_1 \/ product e_3 e_3 e_2 \/
% 93.14/93.35     product e_3 e_4 e_1
% 93.14/93.35  |- ~product e_3 $Z e_2 \/ e_4 == $Z \/ product e_2 e_2 e_2 \/
% 93.14/93.35     product e_2 e_3 e_1 \/ product e_3 e_3 e_1 \/ product e_3 e_3 e_2 \/
% 93.14/93.35     product e_3 e_4 e_1
% 93.14/93.35  |- ~product e_3 e_4 $W \/ $W == e_2 \/ product e_2 e_2 e_2 \/
% 93.14/93.35     product e_2 e_3 e_1 \/ product e_3 e_3 e_1 \/ product e_3 e_3 e_2 \/
% 93.14/93.35     product e_3 e_4 e_1
% 93.14/93.35  |- ~product e_3 e_4 $Z \/ e_2 == $Z \/ product e_2 e_2 e_2 \/
% 93.14/93.35     product e_2 e_3 e_1 \/ product e_3 e_3 e_1 \/ product e_3 e_3 e_2 \/
% 93.14/93.35     product e_3 e_4 e_1
% 93.14/93.35  SZS output end Saturation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 93.14/93.35  
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