TSTP Solution File: GRP125-1.004 by Metis---2.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : GRP125-1.004 : TPTP v8.1.0. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n011.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 10:36:38 EDT 2022

% Result   : Satisfiable 7.54s 7.70s
% Output   : Saturation 7.57s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : GRP125-1.004 : TPTP v8.1.0. Released v1.2.0.
% 0.11/0.12  % Command  : metis --show proof --show saturation %s
% 0.12/0.33  % Computer : n011.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 : Mon Jun 13 17:51:34 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 7.54/7.70  % SZS status Satisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.54/7.70  
% 7.54/7.70  SZS output start Saturation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.54/7.70  |- group_element e_1
% 7.54/7.70  |- group_element e_2
% 7.54/7.70  |- group_element e_3
% 7.54/7.70  |- group_element e_4
% 7.54/7.70  |- ~(e_1 == e_2)
% 7.54/7.70  |- ~(e_1 == e_3)
% 7.54/7.70  |- ~(e_1 == e_4)
% 7.54/7.70  |- ~(e_2 == e_1)
% 7.54/7.70  |- ~(e_2 == e_3)
% 7.54/7.70  |- ~(e_2 == e_4)
% 7.54/7.70  |- ~(e_3 == e_1)
% 7.54/7.70  |- ~(e_3 == e_2)
% 7.54/7.70  |- ~(e_3 == e_4)
% 7.54/7.70  |- ~(e_4 == e_1)
% 7.54/7.70  |- ~(e_4 == e_2)
% 7.54/7.70  |- ~(e_4 == e_3)
% 7.54/7.70  |- ~group_element $X \/ ~group_element $Y \/ product $X $Y e_1 \/
% 7.54/7.70     product $X $Y e_2 \/ product $X $Y e_3 \/ product $X $Y e_4
% 7.54/7.70  |- ~product $X $Y $W \/ ~product $X $Y $Z \/ $W == $Z
% 7.54/7.70  |- ~product $X $W $Y \/ ~product $X $Z $Y \/ $W == $Z
% 7.54/7.70  |- ~product $W $Y $X \/ ~product $Z $Y $X \/ $W == $Z
% 7.54/7.70  |- product $X $X $X
% 7.54/7.70  |- ~group_element $Y \/ product $Y $Y e_1 \/ product $Y $Y e_2 \/
% 7.54/7.70     product $Y $Y e_3 \/ product $Y $Y e_4
% 7.54/7.70  |- ~product $X $Y $Z1 \/ ~product $Y $X $Z2 \/ product $Z1 $Z2 $X
% 7.54/7.70  |- ~product $Y $Y $Z2 \/ product $Z2 $Z2 $Y
% 7.54/7.70  |- $_5 == $_5
% 7.54/7.70  |- ~product $_10 $_10 $_7 \/ $_7 == $_10
% 7.54/7.70  |- ~product $_7 $_7 $_10 \/ $_7 == $_10
% 7.54/7.70  |- ~product $_17 $_18 $_17 \/ $_17 == $_18
% 7.54/7.70  |- ~product $_17 $_15 $_17 \/ $_15 == $_17
% 7.54/7.70  |- ~product $_26 $_24 $_24 \/ $_24 == $_26
% 7.54/7.70  |- ~product $_23 $_24 $_24 \/ $_23 == $_24
% 7.54/7.70  |- ~product $_34 $_34 $_35 \/ product $_34 $_35 $_34
% 7.54/7.70  |- ~product $_35 $_35 $_34 \/ product $_34 $_35 $_35
% 7.54/7.70  |- ~group_element $_41 \/ product e_1 $_41 e_1 \/ product e_1 $_41 e_2 \/
% 7.54/7.70     product e_1 $_41 e_3 \/ product e_1 $_41 e_4
% 7.54/7.70  |- ~group_element $_41 \/ product e_2 $_41 e_1 \/ product e_2 $_41 e_2 \/
% 7.54/7.70     product e_2 $_41 e_3 \/ product e_2 $_41 e_4
% 7.54/7.70  |- ~group_element $_41 \/ product e_3 $_41 e_1 \/ product e_3 $_41 e_2 \/
% 7.54/7.70     product e_3 $_41 e_3 \/ product e_3 $_41 e_4
% 7.54/7.70  |- ~group_element $_41 \/ product e_4 $_41 e_1 \/ product e_4 $_41 e_2 \/
% 7.54/7.70     product e_4 $_41 e_3 \/ product e_4 $_41 e_4
% 7.54/7.70  |- ~group_element $_40 \/ product $_40 e_1 e_1 \/ product $_40 e_1 e_2 \/
% 7.54/7.70     product $_40 e_1 e_3 \/ product $_40 e_1 e_4
% 7.54/7.70  |- ~group_element $_40 \/ product $_40 e_2 e_1 \/ product $_40 e_2 e_2 \/
% 7.54/7.70     product $_40 e_2 e_3 \/ product $_40 e_2 e_4
% 7.54/7.70  |- ~group_element $_40 \/ product $_40 e_3 e_1 \/ product $_40 e_3 e_2 \/
% 7.54/7.70     product $_40 e_3 e_3 \/ product $_40 e_3 e_4
% 7.54/7.70  |- ~group_element $_40 \/ product $_40 e_4 e_1 \/ product $_40 e_4 e_2 \/
% 7.54/7.70     product $_40 e_4 e_3 \/ product $_40 e_4 e_4
% 7.54/7.70  |- product e_2 e_3 e_1 \/ product e_2 e_3 e_2 \/ product e_2 e_3 e_3 \/
% 7.54/7.70     product e_2 e_3 e_4
% 7.54/7.70  |- ~product $W e_3 e_4 \/ $W == e_2 \/ product e_2 e_3 e_1 \/
% 7.54/7.70     product e_2 e_3 e_2 \/ product e_2 e_3 e_3
% 7.54/7.70  |- ~product $Z e_3 e_4 \/ e_2 == $Z \/ product e_2 e_3 e_1 \/
% 7.54/7.70     product e_2 e_3 e_2 \/ product e_2 e_3 e_3
% 7.54/7.70  |- ~product e_2 $W e_4 \/ $W == e_3 \/ product e_2 e_3 e_1 \/
% 7.54/7.70     product e_2 e_3 e_2 \/ product e_2 e_3 e_3
% 7.54/7.70  |- ~product e_2 $Z e_4 \/ e_3 == $Z \/ product e_2 e_3 e_1 \/
% 7.54/7.70     product e_2 e_3 e_2 \/ product e_2 e_3 e_3
% 7.54/7.70  |- ~product e_2 e_3 $W \/ $W == e_4 \/ product e_2 e_3 e_1 \/
% 7.54/7.70     product e_2 e_3 e_2 \/ product e_2 e_3 e_3
% 7.54/7.70  |- ~product e_2 e_3 $Z \/ e_4 == $Z \/ product e_2 e_3 e_1 \/
% 7.54/7.70     product e_2 e_3 e_2 \/ product e_2 e_3 e_3
% 7.54/7.70  |- product e_2 e_4 e_1 \/ product e_2 e_4 e_2 \/ product e_2 e_4 e_3
% 7.54/7.70  |- ~product $W e_4 e_3 \/ $W == e_2 \/ product e_2 e_4 e_1 \/
% 7.54/7.70     product e_2 e_4 e_2
% 7.54/7.70  |- ~product $Z e_4 e_3 \/ e_2 == $Z \/ product e_2 e_4 e_1 \/
% 7.54/7.70     product e_2 e_4 e_2
% 7.54/7.70  |- ~product e_2 $W e_3 \/ $W == e_4 \/ product e_2 e_4 e_1 \/
% 7.54/7.70     product e_2 e_4 e_2
% 7.54/7.70  |- ~product e_2 $Z e_3 \/ e_4 == $Z \/ product e_2 e_4 e_1 \/
% 7.54/7.70     product e_2 e_4 e_2
% 7.54/7.70  |- ~product e_2 e_4 $W \/ $W == e_3 \/ product e_2 e_4 e_1 \/
% 7.54/7.70     product e_2 e_4 e_2
% 7.54/7.70  |- ~product e_2 e_4 $Z \/ e_3 == $Z \/ product e_2 e_4 e_1 \/
% 7.54/7.70     product e_2 e_4 e_2
% 7.54/7.70  |- product e_3 e_1 e_1 \/ product e_3 e_1 e_2 \/ product e_3 e_1 e_3 \/
% 7.54/7.70     product e_3 e_1 e_4
% 7.54/7.70  |- product e_3 e_2 e_1 \/ product e_3 e_2 e_2 \/ product e_3 e_2 e_3 \/
% 7.54/7.70     product e_3 e_2 e_4
% 7.54/7.70  |- ~product e_1 e_3 $Z1 \/ product $Z1 e_4 e_1 \/ product e_3 e_1 e_1 \/
% 7.54/7.70     product e_3 e_1 e_2 \/ product e_3 e_1 e_3
% 7.54/7.70  |- ~product e_1 e_3 $Z2 \/ product e_3 e_1 e_1 \/ product e_3 e_1 e_2 \/
% 7.54/7.70     product e_3 e_1 e_3 \/ product e_4 $Z2 e_3
% 7.54/7.70  |- ~product $W e_1 e_4 \/ $W == e_3 \/ product e_3 e_1 e_1 \/
% 7.54/7.70     product e_3 e_1 e_2 \/ product e_3 e_1 e_3
% 7.54/7.70  |- ~product $Z e_1 e_4 \/ e_3 == $Z \/ product e_3 e_1 e_1 \/
% 7.54/7.70     product e_3 e_1 e_2 \/ product e_3 e_1 e_3
% 7.54/7.70  |- ~product e_3 $W e_4 \/ $W == e_1 \/ product e_3 e_1 e_1 \/
% 7.54/7.70     product e_3 e_1 e_2 \/ product e_3 e_1 e_3
% 7.54/7.70  |- ~product e_3 $Z e_4 \/ e_1 == $Z \/ product e_3 e_1 e_1 \/
% 7.54/7.70     product e_3 e_1 e_2 \/ product e_3 e_1 e_3
% 7.54/7.70  |- ~product e_3 e_1 $W \/ $W == e_4 \/ product e_3 e_1 e_1 \/
% 7.54/7.70     product e_3 e_1 e_2 \/ product e_3 e_1 e_3
% 7.54/7.70  |- ~product e_3 e_1 $Z \/ e_4 == $Z \/ product e_3 e_1 e_1 \/
% 7.54/7.70     product e_3 e_1 e_2 \/ product e_3 e_1 e_3
% 7.54/7.70  |- ~product e_2 e_3 $Z1 \/ product $Z1 e_4 e_2 \/ product e_3 e_2 e_1 \/
% 7.54/7.70     product e_3 e_2 e_2 \/ product e_3 e_2 e_3
% 7.54/7.70  |- ~product e_2 e_3 $Z2 \/ product e_3 e_2 e_1 \/ product e_3 e_2 e_2 \/
% 7.54/7.70     product e_3 e_2 e_3 \/ product e_4 $Z2 e_3
% 7.54/7.70  |- ~product $W e_2 e_4 \/ $W == e_3 \/ product e_3 e_2 e_1 \/
% 7.54/7.70     product e_3 e_2 e_2 \/ product e_3 e_2 e_3
% 7.54/7.70  |- ~product $Z e_2 e_4 \/ e_3 == $Z \/ product e_3 e_2 e_1 \/
% 7.54/7.70     product e_3 e_2 e_2 \/ product e_3 e_2 e_3
% 7.54/7.71  |- ~product e_3 $W e_4 \/ $W == e_2 \/ product e_3 e_2 e_1 \/
% 7.54/7.71     product e_3 e_2 e_2 \/ product e_3 e_2 e_3
% 7.54/7.71  |- ~product e_3 $Z e_4 \/ e_2 == $Z \/ product e_3 e_2 e_1 \/
% 7.54/7.71     product e_3 e_2 e_2 \/ product e_3 e_2 e_3
% 7.54/7.71  |- ~product e_3 e_2 $W \/ $W == e_4 \/ product e_3 e_2 e_1 \/
% 7.54/7.71     product e_3 e_2 e_2 \/ product e_3 e_2 e_3
% 7.54/7.71  |- ~product e_3 e_2 $Z \/ e_4 == $Z \/ product e_3 e_2 e_1 \/
% 7.54/7.71     product e_3 e_2 e_2 \/ product e_3 e_2 e_3
% 7.54/7.71  |- product e_3 e_4 e_1 \/ product e_3 e_4 e_2
% 7.54/7.71  |- ~product $W e_4 e_2 \/ $W == e_3 \/ product e_3 e_4 e_1
% 7.54/7.71  |- ~product $Z e_4 e_2 \/ e_3 == $Z \/ product e_3 e_4 e_1
% 7.54/7.71  |- ~product e_3 $W e_2 \/ $W == e_4 \/ product e_3 e_4 e_1
% 7.54/7.71  |- ~product e_3 $Z e_2 \/ e_4 == $Z \/ product e_3 e_4 e_1
% 7.54/7.71  |- ~product e_3 e_4 $W \/ $W == e_2 \/ product e_3 e_4 e_1
% 7.54/7.71  |- ~product e_3 e_4 $Z \/ e_2 == $Z \/ product e_3 e_4 e_1
% 7.54/7.71  |- product e_4 e_1 e_1 \/ product e_4 e_1 e_2 \/ product e_4 e_1 e_3
% 7.54/7.71  |- ~product e_1 e_4 $Z1 \/ product $Z1 e_3 e_1 \/ product e_4 e_1 e_1 \/
% 7.54/7.71     product e_4 e_1 e_2
% 7.54/7.71  |- ~product e_1 e_4 $Z2 \/ product e_3 $Z2 e_4 \/ product e_4 e_1 e_1 \/
% 7.54/7.71     product e_4 e_1 e_2
% 7.54/7.71  |- ~product $W e_1 e_3 \/ $W == e_4 \/ product e_4 e_1 e_1 \/
% 7.54/7.71     product e_4 e_1 e_2
% 7.54/7.71  |- ~product $Z e_1 e_3 \/ e_4 == $Z \/ product e_4 e_1 e_1 \/
% 7.54/7.71     product e_4 e_1 e_2
% 7.54/7.71  |- ~product e_4 $W e_3 \/ $W == e_1 \/ product e_4 e_1 e_1 \/
% 7.54/7.71     product e_4 e_1 e_2
% 7.54/7.71  |- ~product e_4 $Z e_3 \/ e_1 == $Z \/ product e_4 e_1 e_1 \/
% 7.54/7.71     product e_4 e_1 e_2
% 7.54/7.71  |- ~product e_4 e_1 $W \/ $W == e_3 \/ product e_4 e_1 e_1 \/
% 7.54/7.71     product e_4 e_1 e_2
% 7.54/7.71  |- ~product e_4 e_1 $Z \/ e_3 == $Z \/ product e_4 e_1 e_1 \/
% 7.54/7.71     product e_4 e_1 e_2
% 7.54/7.71  |- product e_4 e_2 e_1 \/ product e_4 e_2 e_2 \/ product e_4 e_2 e_3
% 7.54/7.71  |- ~product e_2 e_4 $Z1 \/ product $Z1 e_3 e_2 \/ product e_4 e_2 e_1 \/
% 7.54/7.71     product e_4 e_2 e_2
% 7.54/7.71  |- ~product e_2 e_4 $Z2 \/ product e_3 $Z2 e_4 \/ product e_4 e_2 e_1 \/
% 7.54/7.71     product e_4 e_2 e_2
% 7.54/7.71  |- ~product $W e_2 e_3 \/ $W == e_4 \/ product e_4 e_2 e_1 \/
% 7.54/7.71     product e_4 e_2 e_2
% 7.54/7.71  |- ~product $Z e_2 e_3 \/ e_4 == $Z \/ product e_4 e_2 e_1 \/
% 7.54/7.71     product e_4 e_2 e_2
% 7.54/7.71  |- ~product e_4 $W e_3 \/ $W == e_2 \/ product e_4 e_2 e_1 \/
% 7.54/7.71     product e_4 e_2 e_2
% 7.54/7.71  |- ~product e_4 $Z e_3 \/ e_2 == $Z \/ product e_4 e_2 e_1 \/
% 7.54/7.71     product e_4 e_2 e_2
% 7.54/7.71  |- ~product e_4 e_2 $W \/ $W == e_3 \/ product e_4 e_2 e_1 \/
% 7.54/7.71     product e_4 e_2 e_2
% 7.54/7.71  |- ~product e_4 e_2 $Z \/ e_3 == $Z \/ product e_4 e_2 e_1 \/
% 7.54/7.71     product e_4 e_2 e_2
% 7.54/7.71  |- product e_4 e_3 e_1 \/ product e_4 e_3 e_2
% 7.54/7.71  |- ~product e_3 e_4 $Z1 \/ product $Z1 e_2 e_3 \/ product e_4 e_3 e_1
% 7.54/7.71  |- ~product e_3 e_4 $Z2 \/ product e_2 $Z2 e_4 \/ product e_4 e_3 e_1
% 7.54/7.71  |- ~product $W e_3 e_2 \/ $W == e_4 \/ product e_4 e_3 e_1
% 7.54/7.71  |- ~product $Z e_3 e_2 \/ e_4 == $Z \/ product e_4 e_3 e_1
% 7.54/7.71  |- ~product e_4 $W e_2 \/ $W == e_3 \/ product e_4 e_3 e_1
% 7.54/7.71  |- ~product e_4 $Z e_2 \/ e_3 == $Z \/ product e_4 e_3 e_1
% 7.54/7.71  |- ~product e_4 e_3 $W \/ $W == e_2 \/ product e_4 e_3 e_1
% 7.54/7.71  |- ~product e_4 e_3 $Z \/ e_2 == $Z \/ product e_4 e_3 e_1
% 7.54/7.71  |- product e_2 e_2 e_4 \/ product e_3 e_4 e_1 \/ product e_4 e_3 e_1
% 7.54/7.71  |- ~product e_3 e_4 $Z1 \/ product $Z1 e_1 e_3 \/ product e_2 e_2 e_4 \/
% 7.54/7.71     product e_3 e_4 e_1
% 7.54/7.71  |- ~product e_3 e_4 $Z2 \/ product e_1 $Z2 e_4 \/ product e_2 e_2 e_4 \/
% 7.54/7.71     product e_3 e_4 e_1
% 7.54/7.71  |- ~product $W e_3 e_1 \/ $W == e_4 \/ product e_2 e_2 e_4 \/
% 7.54/7.71     product e_3 e_4 e_1
% 7.54/7.71  |- ~product $Z e_3 e_1 \/ e_4 == $Z \/ product e_2 e_2 e_4 \/
% 7.54/7.71     product e_3 e_4 e_1
% 7.54/7.71  |- ~product e_4 $W e_1 \/ $W == e_3 \/ product e_2 e_2 e_4 \/
% 7.54/7.71     product e_3 e_4 e_1
% 7.54/7.71  |- ~product e_4 $Z e_1 \/ e_3 == $Z \/ product e_2 e_2 e_4 \/
% 7.54/7.71     product e_3 e_4 e_1
% 7.55/7.71  |- ~product e_4 e_3 $W \/ $W == e_1 \/ product e_2 e_2 e_4 \/
% 7.55/7.71     product e_3 e_4 e_1
% 7.55/7.71  |- ~product e_4 e_3 $Z \/ e_1 == $Z \/ product e_2 e_2 e_4 \/
% 7.55/7.71     product e_3 e_4 e_1
% 7.55/7.71  |- product e_2 e_2 e_3 \/ product e_3 e_4 e_1 \/ product e_4 e_3 e_1
% 7.55/7.71  |- ~product e_3 e_4 $Z1 \/ product $Z1 e_1 e_3 \/ product e_2 e_2 e_3 \/
% 7.55/7.71     product e_3 e_4 e_1
% 7.55/7.71  |- ~product e_3 e_4 $Z2 \/ product e_1 $Z2 e_4 \/ product e_2 e_2 e_3 \/
% 7.55/7.71     product e_3 e_4 e_1
% 7.55/7.71  |- ~product $W e_3 e_1 \/ $W == e_4 \/ product e_2 e_2 e_3 \/
% 7.55/7.71     product e_3 e_4 e_1
% 7.55/7.71  |- ~product $Z e_3 e_1 \/ e_4 == $Z \/ product e_2 e_2 e_3 \/
% 7.55/7.71     product e_3 e_4 e_1
% 7.55/7.71  |- ~product e_4 $W e_1 \/ $W == e_3 \/ product e_2 e_2 e_3 \/
% 7.55/7.71     product e_3 e_4 e_1
% 7.55/7.71  |- ~product e_4 $Z e_1 \/ e_3 == $Z \/ product e_2 e_2 e_3 \/
% 7.55/7.71     product e_3 e_4 e_1
% 7.55/7.71  |- ~product e_4 e_3 $W \/ $W == e_1 \/ product e_2 e_2 e_3 \/
% 7.55/7.71     product e_3 e_4 e_1
% 7.55/7.71  |- ~product e_4 e_3 $Z \/ e_1 == $Z \/ product e_2 e_2 e_3 \/
% 7.55/7.71     product e_3 e_4 e_1
% 7.55/7.71  |- product e_4 e_1 e_1 \/ product e_4 e_1 e_2 \/ product e_4 e_2 e_1
% 7.55/7.71  |- ~product e_2 e_4 $Z1 \/ product $Z1 e_1 e_2 \/ product e_4 e_1 e_1 \/
% 7.55/7.71     product e_4 e_1 e_2
% 7.55/7.71  |- ~product e_2 e_4 $Z2 \/ product e_1 $Z2 e_4 \/ product e_4 e_1 e_1 \/
% 7.55/7.71     product e_4 e_1 e_2
% 7.55/7.71  |- ~product $W e_2 e_1 \/ $W == e_4 \/ product e_4 e_1 e_1 \/
% 7.55/7.71     product e_4 e_1 e_2
% 7.55/7.71  |- ~product $Z e_2 e_1 \/ e_4 == $Z \/ product e_4 e_1 e_1 \/
% 7.55/7.71     product e_4 e_1 e_2
% 7.55/7.71  |- ~product e_4 $W e_1 \/ $W == e_2 \/ product e_4 e_1 e_1 \/
% 7.55/7.71     product e_4 e_1 e_2
% 7.55/7.71  |- ~product e_4 $Z e_1 \/ e_2 == $Z \/ product e_4 e_1 e_1 \/
% 7.55/7.71     product e_4 e_1 e_2
% 7.55/7.71  |- ~product e_4 e_2 $W \/ $W == e_1 \/ product e_4 e_1 e_1 \/
% 7.55/7.71     product e_4 e_1 e_2
% 7.55/7.71  |- ~product e_4 e_2 $Z \/ e_1 == $Z \/ product e_4 e_1 e_1 \/
% 7.55/7.71     product e_4 e_1 e_2
% 7.55/7.71  |- product e_2 e_4 e_1 \/ product e_2 e_4 e_2 \/ product e_3 e_3 e_4 \/
% 7.55/7.71     product e_4 e_2 e_1
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% 7.55/7.72  |- ~product e_3 e_4 $Z1 \/ product $Z1 e_1 e_3 \/ product e_1 e_2 e_3
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% 7.55/7.72  |- product e_1 e_2 e_4 \/ product e_3 e_4 e_1
% 7.55/7.72  |- ~product $W e_4 e_1 \/ $W == e_3 \/ product e_1 e_2 e_4
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% 7.55/7.72  |- ~product e_2 e_3 $Z1 \/ product $Z1 e_4 e_2 \/ product e_1 e_2 e_4
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% 7.55/7.72  |- ~product e_1 e_4 $Z1 \/ product $Z1 e_3 e_1 \/ product e_1 e_2 e_4
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% 7.55/7.72  |- product e_1 e_2 e_4 \/ product e_4 e_2 e_1
% 7.55/7.72  |- ~product e_2 e_4 $Z1 \/ product $Z1 e_1 e_2 \/ product e_1 e_2 e_4
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% 7.55/7.72  |- ~product $Z e_2 e_1 \/ e_3 == $Z \/ product e_2 e_3 e_1 \/
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% 7.55/7.72  |- ~product e_3 $Z e_1 \/ e_2 == $Z \/ product e_2 e_3 e_1 \/
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% 7.55/7.72  |- ~product e_3 e_2 $W \/ $W == e_1 \/ product e_2 e_3 e_1 \/
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% 7.55/7.72  |- ~product e_3 e_2 $Z \/ e_1 == $Z \/ product e_2 e_3 e_1 \/
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% 7.55/7.72  |- product e_2 e_1 e_3 \/ product e_2 e_1 e_4
% 7.55/7.72  |- ~product e_1 e_2 $Z1 \/ product $Z1 e_4 e_1 \/ product e_2 e_1 e_3
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% 7.55/7.72  |- ~product e_1 e_3 $Z1 \/ product $Z1 e_2 e_1 \/ product e_2 e_1 e_3 \/
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% 7.55/7.72     product e_3 e_1 e_1
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% 7.55/7.72     product e_3 e_1 e_1
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% 7.55/7.72  |- ~product e_3 e_1 $Z \/ e_2 == $Z \/ product e_2 e_1 e_3 \/
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% 7.55/7.72  |- product e_2 e_1 e_3 \/ product e_3 e_1 e_1 \/ product e_3 e_4 e_1
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% 7.55/7.72     product e_3 e_1 e_1
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% 7.55/7.72     product e_3 e_1 e_1
% 7.55/7.72  |- ~product e_3 $Z e_1 \/ e_4 == $Z \/ product e_2 e_1 e_3 \/
% 7.55/7.72     product e_3 e_1 e_1
% 7.55/7.72  |- ~product e_3 e_4 $W \/ $W == e_1 \/ product e_2 e_1 e_3 \/
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% 7.55/7.72  |- ~product e_3 e_4 $Z \/ e_1 == $Z \/ product e_2 e_1 e_3 \/
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% 7.55/7.72  |- ~product e_2 $Z e_1 \/ e_4 == $Z \/ product e_2 e_3 e_1 \/
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% 7.55/7.72  |- ~product e_2 e_4 $W \/ $W == e_1 \/ product e_2 e_3 e_1 \/
% 7.55/7.72     product e_2 e_3 e_2 \/ product e_2 e_3 e_3
% 7.55/7.72  |- ~product e_2 e_4 $Z \/ e_1 == $Z \/ product e_2 e_3 e_1 \/
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% 7.55/7.72  |- product e_2 e_1 e_4 \/ product e_2 e_4 e_1
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% 7.55/7.73  |- ~product $Z e_1 e_2 \/ e_4 == $Z \/ product e_1 e_1 e_4 \/
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% 7.55/7.73     product e_2 e_1 e_4 \/ product e_4 e_1 e_1
% 7.55/7.73  |- ~product e_4 $Z e_2 \/ e_1 == $Z \/ product e_1 e_1 e_4 \/
% 7.55/7.73     product e_2 e_1 e_4 \/ product e_4 e_1 e_1
% 7.55/7.73  |- ~product e_4 e_1 $W \/ $W == e_2 \/ product e_1 e_1 e_4 \/
% 7.55/7.73     product e_2 e_1 e_4 \/ product e_4 e_1 e_1
% 7.55/7.73  |- ~product e_4 e_1 $Z \/ e_2 == $Z \/ product e_1 e_1 e_4 \/
% 7.55/7.73     product e_2 e_1 e_4 \/ product e_4 e_1 e_1
% 7.55/7.73  |- product e_1 e_1 e_4 \/ product e_2 e_1 e_4 \/ product e_4 e_1 e_1 \/
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% 7.57/7.74  |- ~product e_3 e_1 $W \/ $W == e_2 \/ product e_1 e_2 e_4
% 7.57/7.74  |- ~product e_3 e_1 $Z \/ e_2 == $Z \/ product e_1 e_2 e_4
% 7.57/7.74  |- product e_1 e_2 e_3 \/ product e_1 e_4 e_3
% 7.57/7.74  |- ~product $W e_4 e_3 \/ $W == e_1 \/ product e_1 e_2 e_3
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% 7.57/7.74  |- ~product e_1 e_4 $Z \/ e_3 == $Z \/ product e_1 e_2 e_3
% 7.57/7.74  |- product e_1 e_4 e_2 \/ product e_1 e_4 e_3
% 7.57/7.74  |- ~product $W e_4 e_3 \/ $W == e_1 \/ product e_1 e_4 e_2
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% 7.57/7.74  |- ~product e_2 e_3 $Z1 \/ product $Z1 e_1 e_2 \/ product e_1 e_4 e_2
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% 7.57/7.74  |- ~product e_1 e_3 $Z1 \/ product $Z1 e_4 e_1 \/ product e_1 e_4 e_2
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% 7.57/7.74  |- ~product e_1 e_4 $Z1 \/ product $Z1 e_2 e_1 \/ product e_1 e_4 e_2
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% 7.57/7.74  |- ~product e_3 e_4 $Z1 \/ product $Z1 e_1 e_3 \/ product e_1 e_4 e_2
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% 7.57/7.74  |- ~product e_1 e_2 $Z1 \/ product $Z1 e_4 e_1 \/ product e_1 e_4 e_3
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% 7.57/7.74  |- ~product e_1 e_3 $Z1 \/ product $Z1 e_2 e_1 \/ product e_1 e_4 e_3 \/
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% 7.57/7.74  |- ~product $W e_1 e_2 \/ $W == e_3 \/ product e_1 e_4 e_3 \/
% 7.57/7.74     product e_3 e_1 e_1
% 7.57/7.74  |- ~product $Z e_1 e_2 \/ e_3 == $Z \/ product e_1 e_4 e_3 \/
% 7.57/7.74     product e_3 e_1 e_1
% 7.57/7.74  |- ~product e_3 $W e_2 \/ $W == e_1 \/ product e_1 e_4 e_3 \/
% 7.57/7.74     product e_3 e_1 e_1
% 7.57/7.74  |- ~product e_3 $Z e_2 \/ e_1 == $Z \/ product e_1 e_4 e_3 \/
% 7.57/7.74     product e_3 e_1 e_1
% 7.57/7.74  |- ~product e_3 e_1 $W \/ $W == e_2 \/ product e_1 e_4 e_3 \/
% 7.57/7.74     product e_3 e_1 e_1
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% 7.57/7.74  |- product e_1 e_4 e_3 \/ product e_3 e_1 e_1 \/ product e_3 e_4 e_1
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% 7.57/7.74     product e_3 e_1 e_1
% 7.57/7.74  |- ~product $Z e_4 e_1 \/ e_3 == $Z \/ product e_1 e_4 e_3 \/
% 7.57/7.74     product e_3 e_1 e_1
% 7.57/7.74  |- ~product e_3 $W e_1 \/ $W == e_4 \/ product e_1 e_4 e_3 \/
% 7.57/7.74     product e_3 e_1 e_1
% 7.57/7.74  |- ~product e_3 $Z e_1 \/ e_4 == $Z \/ product e_1 e_4 e_3 \/
% 7.57/7.74     product e_3 e_1 e_1
% 7.57/7.74  |- ~product e_3 e_4 $W \/ $W == e_1 \/ product e_1 e_4 e_3 \/
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% 7.57/7.74  |- ~product e_3 e_4 $Z \/ e_1 == $Z \/ product e_1 e_4 e_3 \/
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% 7.57/7.74  |- product e_1 e_4 e_3 \/ product e_2 e_3 e_1
% 7.57/7.74  |- ~product $W e_3 e_1 \/ $W == e_2 \/ product e_1 e_4 e_3
% 7.57/7.74  |- ~product $Z e_3 e_1 \/ e_2 == $Z \/ product e_1 e_4 e_3
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% 7.57/7.74  |- ~product e_2 e_3 $Z \/ e_1 == $Z \/ product e_1 e_4 e_3
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% 7.57/7.74  |- product e_1 e_4 e_3 \/ product e_2 e_2 e_4 \/ product e_3 e_4 e_1
% 7.57/7.74  |- product e_1 e_4 e_3 \/ product e_3 e_2 e_1 \/ product e_3 e_2 e_2 \/
% 7.57/7.74     product e_3 e_2 e_3 \/ product e_4 e_1 e_3
% 7.57/7.74  |- ~product $W e_4 e_1 \/ $W == e_3 \/ product e_1 e_4 e_3 \/
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% 7.57/7.74  |- ~product $Z e_4 e_1 \/ e_3 == $Z \/ product e_1 e_4 e_3 \/
% 7.57/7.74     product e_2 e_2 e_4
% 7.57/7.74  |- ~product e_3 $W e_1 \/ $W == e_4 \/ product e_1 e_4 e_3 \/
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% 7.57/7.74  |- ~product e_3 $Z e_1 \/ e_4 == $Z \/ product e_1 e_4 e_3 \/
% 7.57/7.74     product e_2 e_2 e_4
% 7.57/7.75  |- ~product e_3 e_4 $W \/ $W == e_1 \/ product e_1 e_4 e_3 \/
% 7.57/7.75     product e_2 e_2 e_4
% 7.57/7.75  |- ~product e_3 e_4 $Z \/ e_1 == $Z \/ product e_1 e_4 e_3 \/
% 7.57/7.75     product e_2 e_2 e_4
% 7.57/7.75  |- ~product $W e_4 e_1 \/ $W == e_3 \/ product e_1 e_4 e_3 \/
% 7.57/7.75     product e_2 e_2 e_3
% 7.57/7.75  |- ~product $Z e_4 e_1 \/ e_3 == $Z \/ product e_1 e_4 e_3 \/
% 7.57/7.75     product e_2 e_2 e_3
% 7.57/7.75  |- ~product e_3 $W e_1 \/ $W == e_4 \/ product e_1 e_4 e_3 \/
% 7.57/7.75     product e_2 e_2 e_3
% 7.57/7.75  |- ~product e_3 $Z e_1 \/ e_4 == $Z \/ product e_1 e_4 e_3 \/
% 7.57/7.75     product e_2 e_2 e_3
% 7.57/7.75  |- ~product e_3 e_4 $W \/ $W == e_1 \/ product e_1 e_4 e_3 \/
% 7.57/7.75     product e_2 e_2 e_3
% 7.57/7.75  |- ~product e_3 e_4 $Z \/ e_1 == $Z \/ product e_1 e_4 e_3 \/
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% 7.57/7.75  |- ~product e_1 e_4 $Z1 \/ product $Z1 e_3 e_1 \/ product e_1 e_4 e_3 \/
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% 7.57/7.75  |- ~product $Z e_1 e_3 \/ e_4 == $Z \/ product e_1 e_4 e_3 \/
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% 7.57/7.75  |- ~product e_4 e_1 $Z \/ e_3 == $Z \/ product e_1 e_4 e_3 \/
% 7.57/7.75     product e_3 e_2 e_1 \/ product e_3 e_2 e_2 \/ product e_3 e_2 e_3
% 7.57/7.75  |- product e_1 e_3 e_2 \/ product e_2 e_4 e_3
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% 7.57/7.75     product e_3 e_1 e_4
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% 7.57/7.75  |- ~product $Z e_1 e_4 \/ e_3 == $Z \/ product e_2 e_3 e_1 \/
% 7.57/7.75     product e_2 e_3 e_2 \/ product e_2 e_3 e_3
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% 7.57/7.75     product e_2 e_3 e_2 \/ product e_2 e_3 e_3
% 7.57/7.75  |- ~product e_3 $Z e_4 \/ e_1 == $Z \/ product e_2 e_3 e_1 \/
% 7.57/7.75     product e_2 e_3 e_2 \/ product e_2 e_3 e_3
% 7.57/7.75  |- ~product e_3 e_1 $W \/ $W == e_4 \/ product e_2 e_3 e_1 \/
% 7.57/7.75     product e_2 e_3 e_2 \/ product e_2 e_3 e_3
% 7.57/7.75  |- ~product e_3 e_1 $Z \/ e_4 == $Z \/ product e_2 e_3 e_1 \/
% 7.57/7.75     product e_2 e_3 e_2 \/ product e_2 e_3 e_3
% 7.57/7.75  |- product e_1 e_2 e_3 \/ product e_4 e_2 e_3
% 7.57/7.75  |- ~product e_2 e_4 $Z1 \/ product $Z1 e_3 e_2 \/ product e_1 e_2 e_3
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% 7.57/7.75  |- product e_1 e_3 e_4 \/ product e_2 e_3 e_4
% 7.57/7.75  |- ~product $W e_3 e_4 \/ $W == e_2 \/ product e_1 e_3 e_4
% 7.57/7.75  |- ~product $Z e_3 e_4 \/ e_2 == $Z \/ product e_1 e_3 e_4
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% 7.57/7.75  |- ~product e_2 e_3 $Z \/ e_4 == $Z \/ product e_1 e_3 e_4
% 7.57/7.75  |- product e_1 e_3 e_4 \/ product e_4 e_1 e_2
% 7.57/7.75  |- ~product e_1 e_4 $Z1 \/ product $Z1 e_2 e_1 \/ product e_1 e_3 e_4
% 7.57/7.75  |- ~product e_1 e_4 $Z2 \/ product e_1 e_3 e_4 \/ product e_2 $Z2 e_4
% 7.57/7.75  |- ~product $W e_1 e_2 \/ $W == e_4 \/ product e_1 e_3 e_4
% 7.57/7.75  |- ~product $Z e_1 e_2 \/ e_4 == $Z \/ product e_1 e_3 e_4
% 7.57/7.75  |- ~product e_4 $W e_2 \/ $W == e_1 \/ product e_1 e_3 e_4
% 7.57/7.75  |- ~product e_4 $Z e_2 \/ e_1 == $Z \/ product e_1 e_3 e_4
% 7.57/7.75  |- ~product e_4 e_1 $W \/ $W == e_2 \/ product e_1 e_3 e_4
% 7.57/7.75  |- ~product e_4 e_1 $Z \/ e_2 == $Z \/ product e_1 e_3 e_4
% 7.57/7.75  |- product e_1 e_3 e_4 \/ product e_4 e_3 e_1
% 7.57/7.75  |- ~product e_3 e_4 $Z1 \/ product $Z1 e_1 e_3 \/ product e_1 e_3 e_4
% 7.57/7.75  |- ~product e_3 e_4 $Z2 \/ product e_1 $Z2 e_4 \/ product e_1 e_3 e_4
% 7.57/7.75  |- ~product $W e_3 e_1 \/ $W == e_4 \/ product e_1 e_3 e_4
% 7.57/7.75  |- ~product $Z e_3 e_1 \/ e_4 == $Z \/ product e_1 e_3 e_4
% 7.57/7.75  |- ~product e_4 $W e_1 \/ $W == e_3 \/ product e_1 e_3 e_4
% 7.57/7.75  |- ~product e_4 $Z e_1 \/ e_3 == $Z \/ product e_1 e_3 e_4
% 7.57/7.75  |- ~product e_4 e_3 $W \/ $W == e_1 \/ product e_1 e_3 e_4
% 7.57/7.75  |- ~product e_4 e_3 $Z \/ e_1 == $Z \/ product e_1 e_3 e_4
% 7.57/7.75  |- product e_2 e_3 e_1 \/ product e_2 e_3 e_2 \/ product e_2 e_3 e_3 \/
% 7.57/7.75     product e_4 e_1 e_2
% 7.57/7.75  |- ~product e_1 e_4 $Z1 \/ product $Z1 e_2 e_1 \/ product e_2 e_3 e_1 \/
% 7.57/7.75     product e_2 e_3 e_2 \/ product e_2 e_3 e_3
% 7.57/7.75  |- ~product e_1 e_4 $Z2 \/ product e_2 $Z2 e_4 \/ product e_2 e_3 e_1 \/
% 7.57/7.75     product e_2 e_3 e_2 \/ product e_2 e_3 e_3
% 7.57/7.75  |- ~product $W e_1 e_2 \/ $W == e_4 \/ product e_2 e_3 e_1 \/
% 7.57/7.75     product e_2 e_3 e_2 \/ product e_2 e_3 e_3
% 7.57/7.75  |- ~product $Z e_1 e_2 \/ e_4 == $Z \/ product e_2 e_3 e_1 \/
% 7.57/7.75     product e_2 e_3 e_2 \/ product e_2 e_3 e_3
% 7.57/7.75  |- ~product e_4 $W e_2 \/ $W == e_1 \/ product e_2 e_3 e_1 \/
% 7.57/7.75     product e_2 e_3 e_2 \/ product e_2 e_3 e_3
% 7.57/7.75  |- ~product e_4 $Z e_2 \/ e_1 == $Z \/ product e_2 e_3 e_1 \/
% 7.57/7.75     product e_2 e_3 e_2 \/ product e_2 e_3 e_3
% 7.57/7.75  |- ~product e_4 e_1 $W \/ $W == e_2 \/ product e_2 e_3 e_1 \/
% 7.57/7.75     product e_2 e_3 e_2 \/ product e_2 e_3 e_3
% 7.57/7.75  |- ~product e_4 e_1 $Z \/ e_2 == $Z \/ product e_2 e_3 e_1 \/
% 7.57/7.75     product e_2 e_3 e_2 \/ product e_2 e_3 e_3
% 7.57/7.75  |- product e_2 e_3 e_1 \/ product e_2 e_3 e_2 \/ product e_2 e_3 e_3 \/
% 7.57/7.75     product e_4 e_3 e_1
% 7.57/7.75  |- ~product e_3 e_4 $Z1 \/ product $Z1 e_1 e_3 \/ product e_2 e_3 e_1 \/
% 7.57/7.75     product e_2 e_3 e_2 \/ product e_2 e_3 e_3
% 7.57/7.75  |- ~product e_3 e_4 $Z2 \/ product e_1 $Z2 e_4 \/ product e_2 e_3 e_1 \/
% 7.57/7.75     product e_2 e_3 e_2 \/ product e_2 e_3 e_3
% 7.57/7.75  |- ~product $W e_3 e_1 \/ $W == e_4 \/ product e_2 e_3 e_1 \/
% 7.57/7.75     product e_2 e_3 e_2 \/ product e_2 e_3 e_3
% 7.57/7.75  |- ~product $Z e_3 e_1 \/ e_4 == $Z \/ product e_2 e_3 e_1 \/
% 7.57/7.75     product e_2 e_3 e_2 \/ product e_2 e_3 e_3
% 7.57/7.75  |- ~product e_4 $W e_1 \/ $W == e_3 \/ product e_2 e_3 e_1 \/
% 7.57/7.75     product e_2 e_3 e_2 \/ product e_2 e_3 e_3
% 7.57/7.75  |- ~product e_4 $Z e_1 \/ e_3 == $Z \/ product e_2 e_3 e_1 \/
% 7.57/7.75     product e_2 e_3 e_2 \/ product e_2 e_3 e_3
% 7.57/7.75  |- ~product e_4 e_3 $W \/ $W == e_1 \/ product e_2 e_3 e_1 \/
% 7.57/7.75     product e_2 e_3 e_2 \/ product e_2 e_3 e_3
% 7.57/7.75  |- ~product e_4 e_3 $Z \/ e_1 == $Z \/ product e_2 e_3 e_1 \/
% 7.57/7.75     product e_2 e_3 e_2 \/ product e_2 e_3 e_3
% 7.57/7.75  |- product e_1 e_4 e_3 \/ product e_3 e_2 e_1 \/ product e_3 e_2 e_2 \/
% 7.57/7.75     product e_3 e_2 e_3 \/ product e_4 e_2 e_1
% 7.57/7.75  |- ~product e_2 e_4 $Z1 \/ product $Z1 e_1 e_2 \/ product e_1 e_4 e_3 \/
% 7.57/7.75     product e_3 e_2 e_1 \/ product e_3 e_2 e_2 \/ product e_3 e_2 e_3
% 7.57/7.75  |- ~product e_2 e_4 $Z2 \/ product e_1 $Z2 e_4 \/ product e_1 e_4 e_3 \/
% 7.57/7.75     product e_3 e_2 e_1 \/ product e_3 e_2 e_2 \/ product e_3 e_2 e_3
% 7.57/7.75  |- ~product $W e_2 e_1 \/ $W == e_4 \/ product e_1 e_4 e_3 \/
% 7.57/7.75     product e_3 e_2 e_1 \/ product e_3 e_2 e_2 \/ product e_3 e_2 e_3
% 7.57/7.75  |- ~product $Z e_2 e_1 \/ e_4 == $Z \/ product e_1 e_4 e_3 \/
% 7.57/7.75     product e_3 e_2 e_1 \/ product e_3 e_2 e_2 \/ product e_3 e_2 e_3
% 7.57/7.75  |- ~product e_4 $W e_1 \/ $W == e_2 \/ product e_1 e_4 e_3 \/
% 7.57/7.75     product e_3 e_2 e_1 \/ product e_3 e_2 e_2 \/ product e_3 e_2 e_3
% 7.57/7.75  |- ~product e_4 $Z e_1 \/ e_2 == $Z \/ product e_1 e_4 e_3 \/
% 7.57/7.75     product e_3 e_2 e_1 \/ product e_3 e_2 e_2 \/ product e_3 e_2 e_3
% 7.57/7.75  |- ~product e_4 e_2 $W \/ $W == e_1 \/ product e_1 e_4 e_3 \/
% 7.57/7.75     product e_3 e_2 e_1 \/ product e_3 e_2 e_2 \/ product e_3 e_2 e_3
% 7.57/7.75  |- ~product e_4 e_2 $Z \/ e_1 == $Z \/ product e_1 e_4 e_3 \/
% 7.57/7.75     product e_3 e_2 e_1 \/ product e_3 e_2 e_2 \/ product e_3 e_2 e_3
% 7.57/7.75  |- product e_2 e_1 e_3 \/ product e_3 e_2 e_1 \/ product e_3 e_2 e_2 \/
% 7.57/7.75     product e_3 e_2 e_3 \/ product e_4 e_2 e_1
% 7.57/7.75  |- ~product e_2 e_4 $Z1 \/ product $Z1 e_1 e_2 \/ product e_2 e_1 e_3 \/
% 7.57/7.75     product e_3 e_2 e_1 \/ product e_3 e_2 e_2 \/ product e_3 e_2 e_3
% 7.57/7.75  |- ~product e_2 e_4 $Z2 \/ product e_1 $Z2 e_4 \/ product e_2 e_1 e_3 \/
% 7.57/7.75     product e_3 e_2 e_1 \/ product e_3 e_2 e_2 \/ product e_3 e_2 e_3
% 7.57/7.75  |- ~product $W e_2 e_1 \/ $W == e_4 \/ product e_2 e_1 e_3 \/
% 7.57/7.75     product e_3 e_2 e_1 \/ product e_3 e_2 e_2 \/ product e_3 e_2 e_3
% 7.57/7.75  |- ~product $Z e_2 e_1 \/ e_4 == $Z \/ product e_2 e_1 e_3 \/
% 7.57/7.75     product e_3 e_2 e_1 \/ product e_3 e_2 e_2 \/ product e_3 e_2 e_3
% 7.57/7.75  |- ~product e_4 $W e_1 \/ $W == e_2 \/ product e_2 e_1 e_3 \/
% 7.57/7.75     product e_3 e_2 e_1 \/ product e_3 e_2 e_2 \/ product e_3 e_2 e_3
% 7.57/7.75  |- ~product e_4 $Z e_1 \/ e_2 == $Z \/ product e_2 e_1 e_3 \/
% 7.57/7.75     product e_3 e_2 e_1 \/ product e_3 e_2 e_2 \/ product e_3 e_2 e_3
% 7.57/7.75  |- ~product e_4 e_2 $W \/ $W == e_1 \/ product e_2 e_1 e_3 \/
% 7.57/7.75     product e_3 e_2 e_1 \/ product e_3 e_2 e_2 \/ product e_3 e_2 e_3
% 7.57/7.75  |- ~product e_4 e_2 $Z \/ e_1 == $Z \/ product e_2 e_1 e_3 \/
% 7.57/7.75     product e_3 e_2 e_1 \/ product e_3 e_2 e_2 \/ product e_3 e_2 e_3
% 7.57/7.75  |- product e_1 e_2 e_3 \/ product e_2 e_3 e_4
% 7.57/7.75  |- ~product $W e_3 e_4 \/ $W == e_2 \/ product e_1 e_2 e_3
% 7.57/7.75  |- ~product $Z e_3 e_4 \/ e_2 == $Z \/ product e_1 e_2 e_3
% 7.57/7.75  |- ~product e_2 $W e_4 \/ $W == e_3 \/ product e_1 e_2 e_3
% 7.57/7.75  |- ~product e_2 $Z e_4 \/ e_3 == $Z \/ product e_1 e_2 e_3
% 7.57/7.75  |- ~product e_2 e_3 $W \/ $W == e_4 \/ product e_1 e_2 e_3
% 7.57/7.75  |- ~product e_2 e_3 $Z \/ e_4 == $Z \/ product e_1 e_2 e_3
% 7.57/7.75  |- product e_1 e_2 e_3 \/ product e_4 e_1 e_2
% 7.57/7.75  |- ~product e_1 e_4 $Z1 \/ product $Z1 e_2 e_1 \/ product e_1 e_2 e_3
% 7.57/7.75  |- ~product e_1 e_4 $Z2 \/ product e_1 e_2 e_3 \/ product e_2 $Z2 e_4
% 7.57/7.75  |- ~product $W e_1 e_2 \/ $W == e_4 \/ product e_1 e_2 e_3
% 7.57/7.75  |- ~product $Z e_1 e_2 \/ e_4 == $Z \/ product e_1 e_2 e_3
% 7.57/7.75  |- ~product e_4 $W e_2 \/ $W == e_1 \/ product e_1 e_2 e_3
% 7.57/7.75  |- ~product e_4 $Z e_2 \/ e_1 == $Z \/ product e_1 e_2 e_3
% 7.57/7.75  |- ~product e_4 e_1 $W \/ $W == e_2 \/ product e_1 e_2 e_3
% 7.57/7.75  |- ~product e_4 e_1 $Z \/ e_2 == $Z \/ product e_1 e_2 e_3
% 7.57/7.75  SZS output end Saturation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.57/7.75  
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