TSTP Solution File: GRP123-9.004 by Metis---2.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : GRP123-9.004 : TPTP v8.1.0. Bugfixed v1.2.1.
% 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 10:36:32 EDT 2022

% Result   : Satisfiable 3.39s 3.54s
% Output   : Saturation 3.47s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GRP123-9.004 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.03/0.12  % Command  : metis --show proof --show saturation %s
% 0.12/0.34  % Computer : n011.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Mon Jun 13 08:36:18 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 3.39/3.54  % SZS status Satisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.39/3.54  
% 3.39/3.54  SZS output start Saturation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.39/3.54  |- ~group_element $X \/ ~group_element $Y \/ product e_1 $X $Y \/
% 3.39/3.54     product e_2 $X $Y \/ product e_3 $X $Y \/ product e_4 $X $Y
% 3.39/3.54  |- ~group_element $X \/ ~group_element $Y \/ product $X e_1 $Y \/
% 3.39/3.54     product $X e_2 $Y \/ product $X e_3 $Y \/ product $X e_4 $Y
% 3.39/3.54  |- group_element e_1
% 3.39/3.54  |- group_element e_2
% 3.39/3.54  |- group_element e_3
% 3.39/3.54  |- group_element e_4
% 3.39/3.54  |- ~(e_1 == e_2)
% 3.39/3.54  |- ~(e_1 == e_3)
% 3.39/3.54  |- ~(e_1 == e_4)
% 3.39/3.54  |- ~(e_2 == e_1)
% 3.39/3.54  |- ~(e_2 == e_3)
% 3.39/3.54  |- ~(e_2 == e_4)
% 3.39/3.54  |- ~(e_3 == e_1)
% 3.39/3.54  |- ~(e_3 == e_2)
% 3.39/3.54  |- ~(e_3 == e_4)
% 3.39/3.54  |- ~(e_4 == e_1)
% 3.39/3.54  |- ~(e_4 == e_2)
% 3.39/3.54  |- ~(e_4 == e_3)
% 3.39/3.54  |- ~group_element $X \/ ~group_element $Y \/ product1 $X $Y e_1 \/
% 3.39/3.54     product1 $X $Y e_2 \/ product1 $X $Y e_3 \/ product1 $X $Y e_4
% 3.39/3.54  |- ~product1 $X $Y $W \/ ~product1 $X $Y $Z \/ $W == $Z
% 3.39/3.54  |- ~product1 $X $W $Y \/ ~product1 $X $Z $Y \/ $W == $Z
% 3.39/3.54  |- ~product1 $W $Y $X \/ ~product1 $Z $Y $X \/ $W == $Z
% 3.39/3.54  |- product1 $X $X $X
% 3.39/3.54  |- ~group_element $X \/ ~group_element $Y \/ product2 $X $Y e_1 \/
% 3.39/3.54     product2 $X $Y e_2 \/ product2 $X $Y e_3 \/ product2 $X $Y e_4
% 3.39/3.54  |- ~product2 $X $Y $W \/ ~product2 $X $Y $Z \/ $W == $Z
% 3.39/3.54  |- ~product2 $X $W $Y \/ ~product2 $X $Z $Y \/ $W == $Z
% 3.39/3.54  |- ~product2 $W $Y $X \/ ~product2 $Z $Y $X \/ $W == $Z
% 3.39/3.54  |- product2 $X $X $X
% 3.39/3.54  |- ~group_element $Y \/ product e_1 $Y $Y \/ product e_2 $Y $Y \/
% 3.39/3.54     product e_3 $Y $Y \/ product e_4 $Y $Y
% 3.39/3.54  |- ~group_element $Y \/ product $Y e_1 $Y \/ product $Y e_2 $Y \/
% 3.39/3.54     product $Y e_3 $Y \/ product $Y e_4 $Y
% 3.39/3.54  |- ~group_element $Y \/ product1 $Y $Y e_1 \/ product1 $Y $Y e_2 \/
% 3.39/3.54     product1 $Y $Y e_3 \/ product1 $Y $Y e_4
% 3.39/3.54  |- ~group_element $Y \/ product2 $Y $Y e_1 \/ product2 $Y $Y e_2 \/
% 3.39/3.54     product2 $Y $Y e_3 \/ product2 $Y $Y e_4
% 3.39/3.54  |- ~product1 $X $Y $Z1 \/ ~product1 $Z1 $Y $Z2 \/ product2 $Z2 $X $Y
% 3.39/3.54  |- ~product1 $Z2 $Y $Z2 \/ product2 $Z2 $Z2 $Y
% 3.39/3.54  |- $_6 == $_6
% 3.39/3.54  |- ~product1 $_8 $_9 $_9 \/ $_8 == $_9
% 3.39/3.54  |- ~product1 $_11 $_9 $_9 \/ $_9 == $_11
% 3.39/3.54  |- ~product2 $_16 $_16 $_19 \/ $_16 == $_19
% 3.39/3.54  |- ~product2 $_19 $_19 $_16 \/ $_16 == $_19
% 3.39/3.54  |- ~product2 $_26 $_27 $_26 \/ $_26 == $_27
% 3.39/3.54  |- ~product2 $_26 $_24 $_26 \/ $_24 == $_26
% 3.39/3.54  |- ~product1 $_32 $_32 $_35 \/ $_32 == $_35
% 3.39/3.54  |- ~product1 $_35 $_35 $_32 \/ $_32 == $_35
% 3.39/3.54  |- ~product1 $_42 $_43 $_42 \/ $_42 == $_43
% 3.39/3.54  |- ~product1 $_42 $_40 $_42 \/ $_40 == $_42
% 3.39/3.54  |- ~product2 $_51 $_49 $_49 \/ $_49 == $_51
% 3.39/3.54  |- ~product2 $_48 $_49 $_49 \/ $_48 == $_49
% 3.39/3.54  |- product e_1 e_1 e_1 \/ product e_2 e_1 e_1 \/ product e_3 e_1 e_1 \/
% 3.39/3.54     product e_4 e_1 e_1
% 3.39/3.54  |- product e_1 e_2 e_2 \/ product e_2 e_2 e_2 \/ product e_3 e_2 e_2 \/
% 3.39/3.54     product e_4 e_2 e_2
% 3.39/3.54  |- product e_1 e_3 e_3 \/ product e_2 e_3 e_3 \/ product e_3 e_3 e_3 \/
% 3.39/3.54     product e_4 e_3 e_3
% 3.39/3.55  |- product e_1 e_4 e_4 \/ product e_2 e_4 e_4 \/ product e_3 e_4 e_4 \/
% 3.39/3.55     product e_4 e_4 e_4
% 3.39/3.55  |- product e_1 e_1 e_1 \/ product e_1 e_2 e_1 \/ product e_1 e_3 e_1 \/
% 3.39/3.55     product e_1 e_4 e_1
% 3.39/3.55  |- product e_2 e_1 e_2 \/ product e_2 e_2 e_2 \/ product e_2 e_3 e_2 \/
% 3.39/3.55     product e_2 e_4 e_2
% 3.39/3.55  |- product e_3 e_1 e_3 \/ product e_3 e_2 e_3 \/ product e_3 e_3 e_3 \/
% 3.39/3.55     product e_3 e_4 e_3
% 3.39/3.55  |- product e_4 e_1 e_4 \/ product e_4 e_2 e_4 \/ product e_4 e_3 e_4 \/
% 3.39/3.55     product e_4 e_4 e_4
% 3.39/3.55  |- ~product1 $_62 $_62 $_63 \/ product2 $_63 $_62 $_62
% 3.39/3.55  |- ~product1 $_60 $_63 $_63 \/ product2 $_63 $_60 $_63
% 3.39/3.55  |- ~group_element $_69 \/ product e_1 e_1 $_69 \/ product e_2 e_1 $_69 \/
% 3.39/3.55     product e_3 e_1 $_69 \/ product e_4 e_1 $_69
% 3.39/3.55  |- ~group_element $_69 \/ product e_1 e_2 $_69 \/ product e_2 e_2 $_69 \/
% 3.39/3.55     product e_3 e_2 $_69 \/ product e_4 e_2 $_69
% 3.39/3.55  |- ~group_element $_69 \/ product e_1 e_3 $_69 \/ product e_2 e_3 $_69 \/
% 3.39/3.55     product e_3 e_3 $_69 \/ product e_4 e_3 $_69
% 3.39/3.55  |- ~group_element $_69 \/ product e_1 e_4 $_69 \/ product e_2 e_4 $_69 \/
% 3.39/3.55     product e_3 e_4 $_69 \/ product e_4 e_4 $_69
% 3.39/3.55  |- ~group_element $_68 \/ product e_1 $_68 e_1 \/ product e_2 $_68 e_1 \/
% 3.39/3.55     product e_3 $_68 e_1 \/ product e_4 $_68 e_1
% 3.39/3.55  |- ~group_element $_68 \/ product e_1 $_68 e_2 \/ product e_2 $_68 e_2 \/
% 3.39/3.55     product e_3 $_68 e_2 \/ product e_4 $_68 e_2
% 3.39/3.55  |- ~group_element $_68 \/ product e_1 $_68 e_3 \/ product e_2 $_68 e_3 \/
% 3.39/3.55     product e_3 $_68 e_3 \/ product e_4 $_68 e_3
% 3.39/3.55  |- ~group_element $_68 \/ product e_1 $_68 e_4 \/ product e_2 $_68 e_4 \/
% 3.39/3.55     product e_3 $_68 e_4 \/ product e_4 $_68 e_4
% 3.39/3.55  |- product e_1 e_1 e_2 \/ product e_2 e_1 e_2 \/ product e_3 e_1 e_2 \/
% 3.39/3.55     product e_4 e_1 e_2
% 3.39/3.55  |- product e_1 e_1 e_3 \/ product e_2 e_1 e_3 \/ product e_3 e_1 e_3 \/
% 3.39/3.55     product e_4 e_1 e_3
% 3.39/3.55  |- product e_1 e_1 e_4 \/ product e_2 e_1 e_4 \/ product e_3 e_1 e_4 \/
% 3.39/3.55     product e_4 e_1 e_4
% 3.39/3.55  |- product e_1 e_2 e_1 \/ product e_2 e_2 e_1 \/ product e_3 e_2 e_1 \/
% 3.39/3.55     product e_4 e_2 e_1
% 3.39/3.55  |- product e_1 e_2 e_3 \/ product e_2 e_2 e_3 \/ product e_3 e_2 e_3 \/
% 3.39/3.55     product e_4 e_2 e_3
% 3.39/3.55  |- product e_1 e_2 e_4 \/ product e_2 e_2 e_4 \/ product e_3 e_2 e_4 \/
% 3.39/3.55     product e_4 e_2 e_4
% 3.39/3.55  |- product e_1 e_3 e_1 \/ product e_2 e_3 e_1 \/ product e_3 e_3 e_1 \/
% 3.39/3.55     product e_4 e_3 e_1
% 3.39/3.55  |- product e_1 e_3 e_2 \/ product e_2 e_3 e_2 \/ product e_3 e_3 e_2 \/
% 3.39/3.55     product e_4 e_3 e_2
% 3.39/3.55  |- product e_1 e_3 e_4 \/ product e_2 e_3 e_4 \/ product e_3 e_3 e_4 \/
% 3.39/3.55     product e_4 e_3 e_4
% 3.39/3.55  |- product e_1 e_4 e_1 \/ product e_2 e_4 e_1 \/ product e_3 e_4 e_1 \/
% 3.39/3.55     product e_4 e_4 e_1
% 3.39/3.55  |- product e_1 e_4 e_2 \/ product e_2 e_4 e_2 \/ product e_3 e_4 e_2 \/
% 3.39/3.55     product e_4 e_4 e_2
% 3.39/3.55  |- product e_1 e_4 e_3 \/ product e_2 e_4 e_3 \/ product e_3 e_4 e_3 \/
% 3.39/3.55     product e_4 e_4 e_3
% 3.39/3.55  |- ~group_element $_79 \/ product e_1 e_1 $_79 \/ product e_1 e_2 $_79 \/
% 3.39/3.55     product e_1 e_3 $_79 \/ product e_1 e_4 $_79
% 3.39/3.55  |- ~group_element $_79 \/ product e_2 e_1 $_79 \/ product e_2 e_2 $_79 \/
% 3.39/3.55     product e_2 e_3 $_79 \/ product e_2 e_4 $_79
% 3.39/3.55  |- ~group_element $_79 \/ product e_3 e_1 $_79 \/ product e_3 e_2 $_79 \/
% 3.39/3.55     product e_3 e_3 $_79 \/ product e_3 e_4 $_79
% 3.39/3.55  |- ~group_element $_79 \/ product e_4 e_1 $_79 \/ product e_4 e_2 $_79 \/
% 3.39/3.55     product e_4 e_3 $_79 \/ product e_4 e_4 $_79
% 3.39/3.55  |- ~group_element $_78 \/ product $_78 e_1 e_1 \/ product $_78 e_2 e_1 \/
% 3.39/3.55     product $_78 e_3 e_1 \/ product $_78 e_4 e_1
% 3.39/3.55  |- ~group_element $_78 \/ product $_78 e_1 e_2 \/ product $_78 e_2 e_2 \/
% 3.39/3.55     product $_78 e_3 e_2 \/ product $_78 e_4 e_2
% 3.39/3.55  |- ~group_element $_78 \/ product $_78 e_1 e_3 \/ product $_78 e_2 e_3 \/
% 3.39/3.55     product $_78 e_3 e_3 \/ product $_78 e_4 e_3
% 3.39/3.55  |- ~group_element $_78 \/ product $_78 e_1 e_4 \/ product $_78 e_2 e_4 \/
% 3.39/3.55     product $_78 e_3 e_4 \/ product $_78 e_4 e_4
% 3.39/3.55  |- product e_1 e_1 e_2 \/ product e_1 e_2 e_2 \/ product e_1 e_3 e_2 \/
% 3.39/3.55     product e_1 e_4 e_2
% 3.39/3.55  |- product e_1 e_1 e_3 \/ product e_1 e_2 e_3 \/ product e_1 e_3 e_3 \/
% 3.39/3.55     product e_1 e_4 e_3
% 3.39/3.55  |- product e_1 e_1 e_4 \/ product e_1 e_2 e_4 \/ product e_1 e_3 e_4 \/
% 3.39/3.55     product e_1 e_4 e_4
% 3.39/3.55  |- product e_2 e_1 e_1 \/ product e_2 e_2 e_1 \/ product e_2 e_3 e_1 \/
% 3.39/3.55     product e_2 e_4 e_1
% 3.39/3.55  |- product e_2 e_1 e_3 \/ product e_2 e_2 e_3 \/ product e_2 e_3 e_3 \/
% 3.39/3.55     product e_2 e_4 e_3
% 3.39/3.55  |- product e_2 e_1 e_4 \/ product e_2 e_2 e_4 \/ product e_2 e_3 e_4 \/
% 3.39/3.55     product e_2 e_4 e_4
% 3.39/3.55  |- product e_3 e_1 e_1 \/ product e_3 e_2 e_1 \/ product e_3 e_3 e_1 \/
% 3.39/3.55     product e_3 e_4 e_1
% 3.39/3.55  |- product e_3 e_1 e_2 \/ product e_3 e_2 e_2 \/ product e_3 e_3 e_2 \/
% 3.39/3.55     product e_3 e_4 e_2
% 3.39/3.55  |- product e_3 e_1 e_4 \/ product e_3 e_2 e_4 \/ product e_3 e_3 e_4 \/
% 3.39/3.55     product e_3 e_4 e_4
% 3.39/3.55  |- product e_4 e_1 e_1 \/ product e_4 e_2 e_1 \/ product e_4 e_3 e_1 \/
% 3.39/3.55     product e_4 e_4 e_1
% 3.39/3.55  |- product e_4 e_1 e_2 \/ product e_4 e_2 e_2 \/ product e_4 e_3 e_2 \/
% 3.39/3.55     product e_4 e_4 e_2
% 3.39/3.55  |- product e_4 e_1 e_3 \/ product e_4 e_2 e_3 \/ product e_4 e_3 e_3 \/
% 3.39/3.55     product e_4 e_4 e_3
% 3.39/3.55  |- ~group_element $_89 \/ product1 e_1 $_89 e_1 \/ product1 e_1 $_89 e_2 \/
% 3.39/3.55     product1 e_1 $_89 e_3 \/ product1 e_1 $_89 e_4
% 3.39/3.55  |- ~group_element $_89 \/ product1 e_2 $_89 e_1 \/ product1 e_2 $_89 e_2 \/
% 3.39/3.55     product1 e_2 $_89 e_3 \/ product1 e_2 $_89 e_4
% 3.39/3.55  |- ~group_element $_89 \/ product1 e_3 $_89 e_1 \/ product1 e_3 $_89 e_2 \/
% 3.39/3.55     product1 e_3 $_89 e_3 \/ product1 e_3 $_89 e_4
% 3.39/3.55  |- ~group_element $_89 \/ product1 e_4 $_89 e_1 \/ product1 e_4 $_89 e_2 \/
% 3.39/3.55     product1 e_4 $_89 e_3 \/ product1 e_4 $_89 e_4
% 3.39/3.55  |- ~group_element $_88 \/ product1 $_88 e_1 e_1 \/ product1 $_88 e_1 e_2 \/
% 3.39/3.55     product1 $_88 e_1 e_3 \/ product1 $_88 e_1 e_4
% 3.39/3.55  |- ~group_element $_88 \/ product1 $_88 e_2 e_1 \/ product1 $_88 e_2 e_2 \/
% 3.39/3.55     product1 $_88 e_2 e_3 \/ product1 $_88 e_2 e_4
% 3.39/3.55  |- ~group_element $_88 \/ product1 $_88 e_3 e_1 \/ product1 $_88 e_3 e_2 \/
% 3.39/3.55     product1 $_88 e_3 e_3 \/ product1 $_88 e_3 e_4
% 3.39/3.55  |- ~group_element $_88 \/ product1 $_88 e_4 e_1 \/ product1 $_88 e_4 e_2 \/
% 3.39/3.55     product1 $_88 e_4 e_3 \/ product1 $_88 e_4 e_4
% 3.39/3.55  |- product1 e_3 e_1 e_1 \/ product1 e_3 e_1 e_2 \/ product1 e_3 e_1 e_3 \/
% 3.39/3.55     product1 e_3 e_1 e_4
% 3.39/3.55  |- product1 e_3 e_2 e_1 \/ product1 e_3 e_2 e_2 \/ product1 e_3 e_2 e_3 \/
% 3.39/3.55     product1 e_3 e_2 e_4
% 3.39/3.55  |- product1 e_3 e_4 e_1 \/ product1 e_3 e_4 e_2
% 3.39/3.55  |- ~product1 $X e_4 e_3 \/ product1 e_3 e_4 e_1 \/ product2 e_2 $X e_4
% 3.39/3.55  |- ~product1 e_2 e_4 $Z2 \/ product1 e_3 e_4 e_1 \/ product2 $Z2 e_3 e_4
% 3.39/3.55  |- ~product1 e_3 $W e_2 \/ $W == e_4 \/ product1 e_3 e_4 e_1
% 3.39/3.55  |- ~product1 e_3 $Z e_2 \/ e_4 == $Z \/ product1 e_3 e_4 e_1
% 3.39/3.55  |- ~product1 e_3 e_4 $W \/ $W == e_2 \/ product1 e_3 e_4 e_1
% 3.39/3.55  |- ~product1 e_3 e_4 $Z \/ e_2 == $Z \/ product1 e_3 e_4 e_1
% 3.39/3.55  |- ~product1 $W e_4 e_2 \/ $W == e_3 \/ product1 e_3 e_4 e_1
% 3.39/3.55  |- ~product1 $Z e_4 e_2 \/ e_3 == $Z \/ product1 e_3 e_4 e_1
% 3.39/3.55  |- ~product1 $X e_1 e_3 \/ product1 e_3 e_1 e_1 \/ product1 e_3 e_1 e_2 \/
% 3.39/3.55     product1 e_3 e_1 e_3 \/ product2 e_4 $X e_1
% 3.39/3.55  |- ~product1 e_3 $W e_4 \/ $W == e_1 \/ product1 e_3 e_1 e_1 \/
% 3.39/3.55     product1 e_3 e_1 e_2 \/ product1 e_3 e_1 e_3
% 3.39/3.55  |- ~product1 e_3 $Z e_4 \/ e_1 == $Z \/ product1 e_3 e_1 e_1 \/
% 3.39/3.55     product1 e_3 e_1 e_2 \/ product1 e_3 e_1 e_3
% 3.39/3.55  |- ~product1 e_3 e_1 $W \/ $W == e_4 \/ product1 e_3 e_1 e_1 \/
% 3.39/3.55     product1 e_3 e_1 e_2 \/ product1 e_3 e_1 e_3
% 3.39/3.55  |- ~product1 e_3 e_1 $Z \/ e_4 == $Z \/ product1 e_3 e_1 e_1 \/
% 3.39/3.55     product1 e_3 e_1 e_2 \/ product1 e_3 e_1 e_3
% 3.39/3.55  |- ~product1 $W e_1 e_4 \/ $W == e_3 \/ product1 e_3 e_1 e_1 \/
% 3.39/3.55     product1 e_3 e_1 e_2 \/ product1 e_3 e_1 e_3
% 3.39/3.55  |- ~product1 $Z e_1 e_4 \/ e_3 == $Z \/ product1 e_3 e_1 e_1 \/
% 3.39/3.55     product1 e_3 e_1 e_2 \/ product1 e_3 e_1 e_3
% 3.39/3.55  |- ~product1 $X e_2 e_3 \/ product1 e_3 e_2 e_1 \/ product1 e_3 e_2 e_2 \/
% 3.39/3.55     product1 e_3 e_2 e_3 \/ product2 e_4 $X e_2
% 3.39/3.55  |- ~product1 e_3 $W e_4 \/ $W == e_2 \/ product1 e_3 e_2 e_1 \/
% 3.39/3.55     product1 e_3 e_2 e_2 \/ product1 e_3 e_2 e_3
% 3.39/3.55  |- ~product1 e_3 $Z e_4 \/ e_2 == $Z \/ product1 e_3 e_2 e_1 \/
% 3.39/3.55     product1 e_3 e_2 e_2 \/ product1 e_3 e_2 e_3
% 3.39/3.55  |- ~product1 e_3 e_2 $W \/ $W == e_4 \/ product1 e_3 e_2 e_1 \/
% 3.39/3.55     product1 e_3 e_2 e_2 \/ product1 e_3 e_2 e_3
% 3.39/3.55  |- ~product1 e_3 e_2 $Z \/ e_4 == $Z \/ product1 e_3 e_2 e_1 \/
% 3.39/3.55     product1 e_3 e_2 e_2 \/ product1 e_3 e_2 e_3
% 3.39/3.55  |- ~product1 $W e_2 e_4 \/ $W == e_3 \/ product1 e_3 e_2 e_1 \/
% 3.39/3.55     product1 e_3 e_2 e_2 \/ product1 e_3 e_2 e_3
% 3.39/3.55  |- ~product1 $Z e_2 e_4 \/ e_3 == $Z \/ product1 e_3 e_2 e_1 \/
% 3.39/3.55     product1 e_3 e_2 e_2 \/ product1 e_3 e_2 e_3
% 3.39/3.55  |- product1 e_4 e_2 e_1 \/ product1 e_4 e_2 e_2 \/ product1 e_4 e_2 e_3
% 3.39/3.55  |- ~product1 $X e_2 e_4 \/ product1 e_4 e_2 e_1 \/ product1 e_4 e_2 e_2 \/
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% 3.39/3.55     product1 e_4 e_2 e_2
% 3.39/3.55  |- ~product1 e_4 e_2 $W \/ $W == e_3 \/ product1 e_4 e_2 e_1 \/
% 3.39/3.55     product1 e_4 e_2 e_2
% 3.39/3.55  |- ~product1 e_4 e_2 $Z \/ e_3 == $Z \/ product1 e_4 e_2 e_1 \/
% 3.39/3.55     product1 e_4 e_2 e_2
% 3.39/3.55  |- ~product1 $W e_2 e_3 \/ $W == e_4 \/ product1 e_4 e_2 e_1 \/
% 3.39/3.55     product1 e_4 e_2 e_2
% 3.39/3.55  |- ~product1 $Z e_2 e_3 \/ e_4 == $Z \/ product1 e_4 e_2 e_1 \/
% 3.39/3.55     product1 e_4 e_2 e_2
% 3.39/3.55  |- product1 e_4 e_1 e_1 \/ product1 e_4 e_1 e_2 \/ product1 e_4 e_1 e_3
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% 3.39/3.55     product1 e_4 e_1 e_2
% 3.39/3.55  |- ~product1 e_4 e_1 $W \/ $W == e_3 \/ product1 e_4 e_1 e_1 \/
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% 3.39/3.55  |- product1 e_4 e_3 e_1 \/ product1 e_4 e_3 e_2
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% 3.39/3.55     product1 e_4 e_1 e_2
% 3.39/3.55  |- ~product1 e_4 e_2 $W \/ $W == e_1 \/ product1 e_4 e_1 e_1 \/
% 3.39/3.55     product1 e_4 e_1 e_2
% 3.39/3.55  |- ~product1 e_4 e_2 $Z \/ e_1 == $Z \/ product1 e_4 e_1 e_1 \/
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% 3.39/3.55     product1 e_4 e_1 e_2
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% 3.39/3.55     product1 e_1 e_2 e_2 \/ product1 e_1 e_2 e_3
% 3.39/3.55  |- ~product1 e_1 e_2 $W \/ $W == e_4 \/ product1 e_1 e_2 e_1 \/
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% 3.39/3.55  |- ~product1 e_1 e_2 $Z \/ e_4 == $Z \/ product1 e_1 e_2 e_1 \/
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% 3.39/3.55  |- ~product1 $W e_2 e_4 \/ $W == e_1 \/ product1 e_1 e_2 e_1 \/
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% 3.39/3.55  |- ~product1 $Z e_2 e_4 \/ e_1 == $Z \/ product1 e_1 e_2 e_1 \/
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% 3.39/3.55  |- product1 e_1 e_4 e_1 \/ product1 e_1 e_4 e_2 \/ product1 e_1 e_4 e_3
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% 3.39/3.55  |- ~product1 e_1 $Z e_3 \/ e_4 == $Z \/ product1 e_1 e_4 e_1 \/
% 3.39/3.55     product1 e_1 e_4 e_2
% 3.39/3.55  |- ~product1 e_1 e_4 $W \/ $W == e_3 \/ product1 e_1 e_4 e_1 \/
% 3.39/3.55     product1 e_1 e_4 e_2
% 3.39/3.55  |- ~product1 e_1 e_4 $Z \/ e_3 == $Z \/ product1 e_1 e_4 e_1 \/
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% 3.39/3.55     product1 e_2 e_4 e_2
% 3.39/3.55  |- ~product1 e_2 $Z e_3 \/ e_4 == $Z \/ product1 e_2 e_4 e_1 \/
% 3.39/3.55     product1 e_2 e_4 e_2
% 3.39/3.55  |- ~product1 e_2 e_4 $W \/ $W == e_3 \/ product1 e_2 e_4 e_1 \/
% 3.39/3.55     product1 e_2 e_4 e_2
% 3.39/3.55  |- ~product1 e_2 e_4 $Z \/ e_3 == $Z \/ product1 e_2 e_4 e_1 \/
% 3.39/3.55     product1 e_2 e_4 e_2
% 3.39/3.55  |- ~product1 $W e_4 e_3 \/ $W == e_2 \/ product1 e_2 e_4 e_1 \/
% 3.39/3.55     product1 e_2 e_4 e_2
% 3.39/3.55  |- ~product1 $Z e_4 e_3 \/ e_2 == $Z \/ product1 e_2 e_4 e_1 \/
% 3.39/3.55     product1 e_2 e_4 e_2
% 3.39/3.55  |- product1 e_2 e_4 e_1 \/ product1 e_2 e_4 e_2 \/ product1 e_3 e_4 e_1
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% 3.39/3.55     product1 e_2 e_4 e_2
% 3.39/3.55  |- ~product1 e_3 e_4 $W \/ $W == e_1 \/ product1 e_2 e_4 e_1 \/
% 3.39/3.55     product1 e_2 e_4 e_2
% 3.39/3.55  |- ~product1 e_3 e_4 $Z \/ e_1 == $Z \/ product1 e_2 e_4 e_1 \/
% 3.39/3.55     product1 e_2 e_4 e_2
% 3.39/3.55  |- ~product1 $W e_4 e_1 \/ $W == e_3 \/ product1 e_2 e_4 e_1 \/
% 3.39/3.55     product1 e_2 e_4 e_2
% 3.39/3.55  |- ~product1 $Z e_4 e_1 \/ e_3 == $Z \/ product1 e_2 e_4 e_1 \/
% 3.39/3.55     product1 e_2 e_4 e_2
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% 3.39/3.55  |- ~product2 $Z e_1 e_4 \/ e_2 == $Z \/ product1 e_1 e_4 e_1 \/
% 3.39/3.55     product1 e_1 e_4 e_2 \/ product1 e_3 e_4 e_1
% 3.39/3.55  |- ~product2 e_2 $W e_4 \/ $W == e_1 \/ product1 e_1 e_4 e_1 \/
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% 3.39/3.55  |- ~product2 e_2 $Z e_4 \/ e_1 == $Z \/ product1 e_1 e_4 e_1 \/
% 3.39/3.55     product1 e_1 e_4 e_2 \/ product1 e_3 e_4 e_1
% 3.39/3.55  |- ~product2 e_2 e_1 $W \/ $W == e_4 \/ product1 e_1 e_4 e_1 \/
% 3.39/3.55     product1 e_1 e_4 e_2 \/ product1 e_3 e_4 e_1
% 3.39/3.55  |- ~product2 e_2 e_1 $Z \/ e_4 == $Z \/ product1 e_1 e_4 e_1 \/
% 3.39/3.55     product1 e_1 e_4 e_2 \/ product1 e_3 e_4 e_1
% 3.39/3.55  |- product1 e_1 e_4 e_1 \/ product1 e_1 e_4 e_2 \/ product1 e_2 e_4 e_1
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% 3.39/3.55     product1 e_1 e_4 e_2
% 3.39/3.55  |- ~product1 e_2 $Z e_1 \/ e_4 == $Z \/ product1 e_1 e_4 e_1 \/
% 3.39/3.55     product1 e_1 e_4 e_2
% 3.39/3.55  |- ~product1 e_2 e_4 $W \/ $W == e_1 \/ product1 e_1 e_4 e_1 \/
% 3.39/3.55     product1 e_1 e_4 e_2
% 3.39/3.55  |- ~product1 e_2 e_4 $Z \/ e_1 == $Z \/ product1 e_1 e_4 e_1 \/
% 3.39/3.55     product1 e_1 e_4 e_2
% 3.39/3.55  |- ~product1 $W e_4 e_1 \/ $W == e_2 \/ product1 e_1 e_4 e_1 \/
% 3.39/3.55     product1 e_1 e_4 e_2
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% 3.39/3.55     product1 e_1 e_4 e_2
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% 3.39/3.55  |- ~product2 e_1 $Z e_4 \/ e_3 == $Z \/ product1 e_1 e_4 e_1 \/
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% 3.39/3.56  |- ~product1 e_1 e_3 $Z \/ e_4 == $Z \/ product1 e_1 e_3 e_1 \/
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% 3.39/3.56  |- ~product1 $W e_3 e_4 \/ $W == e_1 \/ product1 e_1 e_3 e_1 \/
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% 3.39/3.56  |- ~product1 $Z e_3 e_4 \/ e_1 == $Z \/ product1 e_1 e_3 e_1 \/
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% 3.39/3.56  |- product1 e_1 e_3 e_1 \/ product1 e_1 e_3 e_2 \/ product1 e_1 e_3 e_3 \/
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% 3.39/3.56  |- ~product2 e_2 $Z e_3 \/ e_1 == $Z \/ product1 e_1 e_3 e_1 \/
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% 3.39/3.56  |- ~product2 e_2 e_1 $W \/ $W == e_3 \/ product1 e_1 e_3 e_1 \/
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% 3.39/3.56     product1 e_1 e_3 e_2 \/ product1 e_1 e_3 e_3 \/ product1 e_4 e_3 e_1
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% 3.39/3.56     product1 e_2 e_1 e_4
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% 3.39/3.56  |- ~product1 e_2 $Z e_4 \/ e_1 == $Z \/ product1 e_2 e_1 e_1 \/
% 3.39/3.56     product1 e_2 e_1 e_2 \/ product1 e_2 e_1 e_3
% 3.39/3.56  |- ~product1 e_2 e_1 $W \/ $W == e_4 \/ product1 e_2 e_1 e_1 \/
% 3.39/3.56     product1 e_2 e_1 e_2 \/ product1 e_2 e_1 e_3
% 3.39/3.56  |- ~product1 e_2 e_1 $Z \/ e_4 == $Z \/ product1 e_2 e_1 e_1 \/
% 3.39/3.56     product1 e_2 e_1 e_2 \/ product1 e_2 e_1 e_3
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% 3.39/3.56  |- product1 e_3 e_1 e_1 \/ product1 e_3 e_1 e_2 \/ product1 e_3 e_1 e_3 \/
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% 3.39/3.56  |- ~product1 e_4 e_1 $Z \/ e_2 == $Z \/ product1 e_3 e_1 e_1 \/
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% 3.39/3.56  |- ~product1 $W e_1 e_2 \/ $W == e_4 \/ product1 e_3 e_1 e_1 \/
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% 3.39/3.56  |- ~product1 e_3 e_4 $W \/ $W == e_1 \/ product1 e_2 e_1 e_1 \/
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% 3.39/3.56  |- ~product1 e_3 e_4 $Z \/ e_1 == $Z \/ product1 e_2 e_1 e_1 \/
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% 3.39/3.56  |- ~product1 $W e_4 e_1 \/ $W == e_3 \/ product1 e_2 e_1 e_1 \/
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% 3.39/3.56  |- ~product2 e_3 e_1 $W \/ $W == e_4 \/ product2 e_3 e_1 e_1 \/
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% 3.39/3.56  |- ~product2 e_3 e_1 $Z \/ e_4 == $Z \/ product2 e_3 e_1 e_1 \/
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% 3.39/3.57  |- ~product2 e_3 e_1 $W \/ $W == e_2 \/ product1 e_1 e_4 e_1 \/
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% 3.39/3.57  |- ~product2 e_3 e_1 $Z \/ e_2 == $Z \/ product1 e_1 e_4 e_1 \/
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% 3.39/3.57  |- ~product2 e_3 e_4 $W \/ $W == e_1 \/ product1 e_1 e_4 e_1 \/
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% 3.39/3.57  |- ~product2 e_3 e_2 $W \/ $W == e_1 \/ product1 e_2 e_4 e_1 \/
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% 3.39/3.57  |- ~product2 e_3 e_2 $Z \/ e_1 == $Z \/ product1 e_2 e_4 e_1 \/
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% 3.39/3.57  |- ~product2 $Z e_1 e_4 \/ e_2 == $Z \/ product2 e_2 e_1 e_1 \/
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% 3.39/3.57  |- ~product2 e_2 $Z e_4 \/ e_1 == $Z \/ product2 e_2 e_1 e_1 \/
% 3.39/3.57     product2 e_2 e_1 e_2 \/ product2 e_2 e_1 e_3
% 3.39/3.57  |- ~product2 e_2 e_1 $W \/ $W == e_4 \/ product2 e_2 e_1 e_1 \/
% 3.39/3.57     product2 e_2 e_1 e_2 \/ product2 e_2 e_1 e_3
% 3.39/3.57  |- ~product2 e_2 e_1 $Z \/ e_4 == $Z \/ product2 e_2 e_1 e_1 \/
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% 3.39/3.57  |- ~product2 $W e_1 e_3 \/ $W == e_4 \/ product2 e_4 e_1 e_1 \/
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% 3.39/3.57  |- ~product2 $Z e_1 e_3 \/ e_4 == $Z \/ product2 e_4 e_1 e_1 \/
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% 3.39/3.57  |- ~product2 e_4 $W e_3 \/ $W == e_1 \/ product2 e_4 e_1 e_1 \/
% 3.39/3.57     product2 e_4 e_1 e_2
% 3.39/3.57  |- ~product2 e_4 $Z e_3 \/ e_1 == $Z \/ product2 e_4 e_1 e_1 \/
% 3.39/3.57     product2 e_4 e_1 e_2
% 3.39/3.57  |- ~product2 e_4 e_1 $W \/ $W == e_3 \/ product2 e_4 e_1 e_1 \/
% 3.39/3.57     product2 e_4 e_1 e_2
% 3.39/3.57  |- ~product2 e_4 e_1 $Z \/ e_3 == $Z \/ product2 e_4 e_1 e_1 \/
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% 3.39/3.57  |- product2 e_1 e_2 e_1 \/ product2 e_1 e_2 e_2 \/ product2 e_1 e_2 e_3 \/
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% 3.39/3.57     product2 e_1 e_3 e_4
% 3.39/3.57  |- ~product2 $W e_2 e_4 \/ $W == e_1 \/ product2 e_1 e_2 e_1 \/
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% 3.39/3.57  |- ~product2 $Z e_2 e_4 \/ e_1 == $Z \/ product2 e_1 e_2 e_1 \/
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% 3.39/3.57  |- ~product2 e_1 $W e_4 \/ $W == e_2 \/ product2 e_1 e_2 e_1 \/
% 3.39/3.57     product2 e_1 e_2 e_2 \/ product2 e_1 e_2 e_3
% 3.39/3.57  |- ~product2 e_1 $Z e_4 \/ e_2 == $Z \/ product2 e_1 e_2 e_1 \/
% 3.39/3.57     product2 e_1 e_2 e_2 \/ product2 e_1 e_2 e_3
% 3.39/3.57  |- ~product2 e_1 e_2 $W \/ $W == e_4 \/ product2 e_1 e_2 e_1 \/
% 3.39/3.57     product2 e_1 e_2 e_2 \/ product2 e_1 e_2 e_3
% 3.39/3.57  |- ~product2 e_1 e_2 $Z \/ e_4 == $Z \/ product2 e_1 e_2 e_1 \/
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% 3.39/3.57  |- product1 e_1 e_4 e_1 \/ product1 e_1 e_4 e_2 \/ product2 e_1 e_2 e_1 \/
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% 3.39/3.57  |- ~product2 $Z e_3 e_4 \/ e_1 == $Z \/ product2 e_1 e_3 e_1 \/
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% 3.39/3.57  |- ~product2 e_1 $W e_4 \/ $W == e_3 \/ product2 e_1 e_3 e_1 \/
% 3.39/3.57     product2 e_1 e_3 e_2 \/ product2 e_1 e_3 e_3
% 3.39/3.57  |- ~product2 e_1 $Z e_4 \/ e_3 == $Z \/ product2 e_1 e_3 e_1 \/
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% 3.39/3.57  |- ~product2 e_1 e_3 $W \/ $W == e_4 \/ product2 e_1 e_3 e_1 \/
% 3.39/3.57     product2 e_1 e_3 e_2 \/ product2 e_1 e_3 e_3
% 3.39/3.57  |- ~product2 e_1 e_3 $Z \/ e_4 == $Z \/ product2 e_1 e_3 e_1 \/
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% 3.39/3.57  |- ~product2 $Z e_4 e_3 \/ e_1 == $Z \/ product2 e_1 e_4 e_1 \/
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% 3.39/3.57     product2 e_1 e_4 e_2
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% 3.39/3.57  |- ~product2 e_1 e_4 $W \/ $W == e_3 \/ product2 e_1 e_4 e_1 \/
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% 3.39/3.57  |- ~product2 $Z e_2 e_3 \/ e_1 == $Z \/ product1 e_1 e_4 e_1 \/
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% 3.39/3.57  |- ~product2 e_1 e_2 $W \/ $W == e_3 \/ product1 e_1 e_4 e_1 \/
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% 3.39/3.57  |- ~product2 e_1 $W e_2 \/ $W == e_3 \/ product1 e_2 e_4 e_1 \/
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% 3.39/3.57  |- ~product2 e_1 $Z e_2 \/ e_3 == $Z \/ product1 e_2 e_4 e_1 \/
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% 3.39/3.57  |- ~product2 e_1 e_3 $W \/ $W == e_2 \/ product1 e_2 e_4 e_1 \/
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% 3.39/3.57  |- ~product2 e_1 e_3 $Z \/ e_2 == $Z \/ product1 e_2 e_4 e_1 \/
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% 3.39/3.57  |- product2 e_2 e_3 e_1 \/ product2 e_2 e_3 e_2 \/ product2 e_2 e_3 e_3 \/
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% 3.39/3.57  |- ~product2 $Z e_3 e_4 \/ e_2 == $Z \/ product2 e_2 e_3 e_1 \/
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% 3.39/3.57  |- ~product2 e_2 e_3 $Z \/ e_4 == $Z \/ product2 e_2 e_3 e_1 \/
% 3.39/3.57     product2 e_2 e_3 e_2 \/ product2 e_2 e_3 e_3
% 3.39/3.57  |- product2 e_2 e_4 e_1 \/ product2 e_2 e_4 e_2 \/ product2 e_2 e_4 e_3
% 3.39/3.57  |- ~product2 $W e_4 e_3 \/ $W == e_2 \/ product2 e_2 e_4 e_1 \/
% 3.39/3.57     product2 e_2 e_4 e_2
% 3.39/3.57  |- ~product2 $Z e_4 e_3 \/ e_2 == $Z \/ product2 e_2 e_4 e_1 \/
% 3.39/3.57     product2 e_2 e_4 e_2
% 3.39/3.57  |- ~product2 e_2 $W e_3 \/ $W == e_4 \/ product2 e_2 e_4 e_1 \/
% 3.39/3.57     product2 e_2 e_4 e_2
% 3.39/3.57  |- ~product2 e_2 $Z e_3 \/ e_4 == $Z \/ product2 e_2 e_4 e_1 \/
% 3.39/3.57     product2 e_2 e_4 e_2
% 3.39/3.57  |- ~product2 e_2 e_4 $W \/ $W == e_3 \/ product2 e_2 e_4 e_1 \/
% 3.39/3.57     product2 e_2 e_4 e_2
% 3.39/3.57  |- ~product2 e_2 e_4 $Z \/ e_3 == $Z \/ product2 e_2 e_4 e_1 \/
% 3.39/3.57     product2 e_2 e_4 e_2
% 3.39/3.57  |- product2 e_1 e_4 e_1 \/ product2 e_1 e_4 e_2 \/ product2 e_2 e_4 e_1
% 3.39/3.57  |- ~product2 $W e_4 e_1 \/ $W == e_2 \/ product2 e_1 e_4 e_1 \/
% 3.39/3.57     product2 e_1 e_4 e_2
% 3.39/3.57  |- ~product2 $Z e_4 e_1 \/ e_2 == $Z \/ product2 e_1 e_4 e_1 \/
% 3.39/3.57     product2 e_1 e_4 e_2
% 3.39/3.57  |- ~product2 e_2 $W e_1 \/ $W == e_4 \/ product2 e_1 e_4 e_1 \/
% 3.39/3.57     product2 e_1 e_4 e_2
% 3.39/3.57  |- ~product2 e_2 $Z e_1 \/ e_4 == $Z \/ product2 e_1 e_4 e_1 \/
% 3.39/3.57     product2 e_1 e_4 e_2
% 3.39/3.57  |- ~product2 e_2 e_4 $W \/ $W == e_1 \/ product2 e_1 e_4 e_1 \/
% 3.39/3.57     product2 e_1 e_4 e_2
% 3.39/3.57  |- ~product2 e_2 e_4 $Z \/ e_1 == $Z \/ product2 e_1 e_4 e_1 \/
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% 3.39/3.57  |- product2 e_4 e_2 e_1 \/ product2 e_4 e_2 e_2 \/ product2 e_4 e_2 e_3
% 3.39/3.57  |- ~product2 $W e_2 e_3 \/ $W == e_4 \/ product2 e_4 e_2 e_1 \/
% 3.39/3.57     product2 e_4 e_2 e_2
% 3.39/3.57  |- ~product2 $Z e_2 e_3 \/ e_4 == $Z \/ product2 e_4 e_2 e_1 \/
% 3.39/3.57     product2 e_4 e_2 e_2
% 3.39/3.57  |- ~product2 e_4 $W e_3 \/ $W == e_2 \/ product2 e_4 e_2 e_1 \/
% 3.39/3.57     product2 e_4 e_2 e_2
% 3.39/3.57  |- ~product2 e_4 $Z e_3 \/ e_2 == $Z \/ product2 e_4 e_2 e_1 \/
% 3.39/3.57     product2 e_4 e_2 e_2
% 3.39/3.57  |- ~product2 e_4 e_2 $W \/ $W == e_3 \/ product2 e_4 e_2 e_1 \/
% 3.39/3.57     product2 e_4 e_2 e_2
% 3.39/3.57  |- ~product2 e_4 e_2 $Z \/ e_3 == $Z \/ product2 e_4 e_2 e_1 \/
% 3.39/3.57     product2 e_4 e_2 e_2
% 3.39/3.57  |- product2 e_4 e_3 e_1 \/ product2 e_4 e_3 e_2
% 3.39/3.57  |- ~product2 $W e_3 e_2 \/ $W == e_4 \/ product2 e_4 e_3 e_1
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% 3.39/3.57  |- ~product2 e_4 $W e_2 \/ $W == e_3 \/ product2 e_4 e_3 e_1
% 3.39/3.57  |- ~product2 e_4 $Z e_2 \/ e_3 == $Z \/ product2 e_4 e_3 e_1
% 3.39/3.57  |- ~product2 e_4 e_3 $W \/ $W == e_2 \/ product2 e_4 e_3 e_1
% 3.39/3.57  |- ~product2 e_4 e_3 $Z \/ e_2 == $Z \/ product2 e_4 e_3 e_1
% 3.39/3.57  |- product1 e_2 e_4 e_1 \/ product1 e_2 e_4 e_2 \/ product2 e_1 e_3 e_1 \/
% 3.39/3.57     product2 e_4 e_3 e_1
% 3.39/3.57  |- ~product2 $W e_3 e_1 \/ $W == e_4 \/ product1 e_2 e_4 e_1 \/
% 3.39/3.57     product1 e_2 e_4 e_2 \/ product2 e_1 e_3 e_1
% 3.39/3.57  |- ~product2 $Z e_3 e_1 \/ e_4 == $Z \/ product1 e_2 e_4 e_1 \/
% 3.39/3.57     product1 e_2 e_4 e_2 \/ product2 e_1 e_3 e_1
% 3.39/3.57  |- ~product2 e_4 $W e_1 \/ $W == e_3 \/ product1 e_2 e_4 e_1 \/
% 3.39/3.57     product1 e_2 e_4 e_2 \/ product2 e_1 e_3 e_1
% 3.39/3.57  |- ~product2 e_4 $Z e_1 \/ e_3 == $Z \/ product1 e_2 e_4 e_1 \/
% 3.39/3.57     product1 e_2 e_4 e_2 \/ product2 e_1 e_3 e_1
% 3.39/3.57  |- ~product2 e_4 e_3 $W \/ $W == e_1 \/ product1 e_2 e_4 e_1 \/
% 3.39/3.57     product1 e_2 e_4 e_2 \/ product2 e_1 e_3 e_1
% 3.39/3.57  |- ~product2 e_4 e_3 $Z \/ e_1 == $Z \/ product1 e_2 e_4 e_1 \/
% 3.39/3.57     product1 e_2 e_4 e_2 \/ product2 e_1 e_3 e_1
% 3.39/3.57  |- product2 e_4 e_1 e_1 \/ product2 e_4 e_1 e_2 \/ product2 e_4 e_2 e_1
% 3.39/3.57  |- ~product2 $W e_2 e_1 \/ $W == e_4 \/ product2 e_4 e_1 e_1 \/
% 3.39/3.57     product2 e_4 e_1 e_2
% 3.39/3.57  |- ~product2 $Z e_2 e_1 \/ e_4 == $Z \/ product2 e_4 e_1 e_1 \/
% 3.39/3.57     product2 e_4 e_1 e_2
% 3.39/3.57  |- ~product2 e_4 $W e_1 \/ $W == e_2 \/ product2 e_4 e_1 e_1 \/
% 3.39/3.57     product2 e_4 e_1 e_2
% 3.39/3.57  |- ~product2 e_4 $Z e_1 \/ e_2 == $Z \/ product2 e_4 e_1 e_1 \/
% 3.39/3.57     product2 e_4 e_1 e_2
% 3.39/3.57  |- ~product2 e_4 e_2 $W \/ $W == e_1 \/ product2 e_4 e_1 e_1 \/
% 3.39/3.57     product2 e_4 e_1 e_2
% 3.39/3.57  |- ~product2 e_4 e_2 $Z \/ e_1 == $Z \/ product2 e_4 e_1 e_1 \/
% 3.39/3.57     product2 e_4 e_1 e_2
% 3.39/3.57  |- product1 e_2 e_4 e_1 \/ product1 e_2 e_4 e_2 \/ product2 e_4 e_1 e_1 \/
% 3.39/3.57     product2 e_4 e_1 e_2
% 3.39/3.57  |- ~product2 $W e_1 e_2 \/ $W == e_4 \/ product1 e_2 e_4 e_1 \/
% 3.39/3.57     product1 e_2 e_4 e_2 \/ product2 e_4 e_1 e_1
% 3.39/3.57  |- ~product2 $Z e_1 e_2 \/ e_4 == $Z \/ product1 e_2 e_4 e_1 \/
% 3.39/3.57     product1 e_2 e_4 e_2 \/ product2 e_4 e_1 e_1
% 3.39/3.57  |- ~product2 e_4 $W e_2 \/ $W == e_1 \/ product1 e_2 e_4 e_1 \/
% 3.39/3.57     product1 e_2 e_4 e_2 \/ product2 e_4 e_1 e_1
% 3.39/3.57  |- ~product2 e_4 $Z e_2 \/ e_1 == $Z \/ product1 e_2 e_4 e_1 \/
% 3.39/3.57     product1 e_2 e_4 e_2 \/ product2 e_4 e_1 e_1
% 3.39/3.57  |- ~product2 e_4 e_1 $W \/ $W == e_2 \/ product1 e_2 e_4 e_1 \/
% 3.39/3.57     product1 e_2 e_4 e_2 \/ product2 e_4 e_1 e_1
% 3.39/3.57  |- ~product2 e_4 e_1 $Z \/ e_2 == $Z \/ product1 e_2 e_4 e_1 \/
% 3.39/3.57     product1 e_2 e_4 e_2 \/ product2 e_4 e_1 e_1
% 3.39/3.57  |- product1 e_2 e_4 e_1 \/ product1 e_2 e_4 e_2 \/ product2 e_4 e_1 e_1 \/
% 3.39/3.57     product2 e_4 e_3 e_1
% 3.39/3.57  |- ~product2 $W e_3 e_1 \/ $W == e_4 \/ product1 e_2 e_4 e_1 \/
% 3.39/3.57     product1 e_2 e_4 e_2 \/ product2 e_4 e_1 e_1
% 3.39/3.57  |- ~product2 $Z e_3 e_1 \/ e_4 == $Z \/ product1 e_2 e_4 e_1 \/
% 3.39/3.57     product1 e_2 e_4 e_2 \/ product2 e_4 e_1 e_1
% 3.39/3.57  |- ~product2 e_4 $W e_1 \/ $W == e_3 \/ product1 e_2 e_4 e_1 \/
% 3.39/3.57     product1 e_2 e_4 e_2 \/ product2 e_4 e_1 e_1
% 3.39/3.57  |- ~product2 e_4 $Z e_1 \/ e_3 == $Z \/ product1 e_2 e_4 e_1 \/
% 3.39/3.57     product1 e_2 e_4 e_2 \/ product2 e_4 e_1 e_1
% 3.39/3.57  |- ~product2 e_4 e_3 $W \/ $W == e_1 \/ product1 e_2 e_4 e_1 \/
% 3.39/3.57     product1 e_2 e_4 e_2 \/ product2 e_4 e_1 e_1
% 3.39/3.57  |- ~product2 e_4 e_3 $Z \/ e_1 == $Z \/ product1 e_2 e_4 e_1 \/
% 3.39/3.57     product1 e_2 e_4 e_2 \/ product2 e_4 e_1 e_1
% 3.39/3.57  |- product1 e_2 e_1 e_1 \/ product1 e_2 e_1 e_2 \/ product1 e_2 e_1 e_3 \/
% 3.39/3.57     product1 e_4 e_3 e_1 \/ product2 e_2 e_4 e_1
% 3.39/3.57  |- ~product2 $W e_4 e_1 \/ $W == e_2 \/ product1 e_2 e_1 e_1 \/
% 3.39/3.57     product1 e_2 e_1 e_2 \/ product1 e_2 e_1 e_3 \/ product1 e_4 e_3 e_1
% 3.39/3.57  |- ~product2 $Z e_4 e_1 \/ e_2 == $Z \/ product1 e_2 e_1 e_1 \/
% 3.39/3.57     product1 e_2 e_1 e_2 \/ product1 e_2 e_1 e_3 \/ product1 e_4 e_3 e_1
% 3.39/3.57  |- ~product2 e_2 $W e_1 \/ $W == e_4 \/ product1 e_2 e_1 e_1 \/
% 3.39/3.57     product1 e_2 e_1 e_2 \/ product1 e_2 e_1 e_3 \/ product1 e_4 e_3 e_1
% 3.39/3.57  |- ~product2 e_2 $Z e_1 \/ e_4 == $Z \/ product1 e_2 e_1 e_1 \/
% 3.39/3.57     product1 e_2 e_1 e_2 \/ product1 e_2 e_1 e_3 \/ product1 e_4 e_3 e_1
% 3.39/3.57  |- ~product2 e_2 e_4 $W \/ $W == e_1 \/ product1 e_2 e_1 e_1 \/
% 3.39/3.57     product1 e_2 e_1 e_2 \/ product1 e_2 e_1 e_3 \/ product1 e_4 e_3 e_1
% 3.39/3.57  |- ~product2 e_2 e_4 $Z \/ e_1 == $Z \/ product1 e_2 e_1 e_1 \/
% 3.39/3.57     product1 e_2 e_1 e_2 \/ product1 e_2 e_1 e_3 \/ product1 e_4 e_3 e_1
% 3.39/3.57  |- product1 e_1 e_3 e_1 \/ product1 e_1 e_3 e_2 \/ product1 e_1 e_3 e_3 \/
% 3.39/3.57     product1 e_4 e_3 e_1 \/ product2 e_2 e_4 e_1
% 3.39/3.57  |- ~product2 $W e_4 e_1 \/ $W == e_2 \/ product1 e_1 e_3 e_1 \/
% 3.39/3.57     product1 e_1 e_3 e_2 \/ product1 e_1 e_3 e_3 \/ product1 e_4 e_3 e_1
% 3.39/3.57  |- ~product2 $Z e_4 e_1 \/ e_2 == $Z \/ product1 e_1 e_3 e_1 \/
% 3.39/3.57     product1 e_1 e_3 e_2 \/ product1 e_1 e_3 e_3 \/ product1 e_4 e_3 e_1
% 3.39/3.57  |- ~product2 e_2 $W e_1 \/ $W == e_4 \/ product1 e_1 e_3 e_1 \/
% 3.39/3.57     product1 e_1 e_3 e_2 \/ product1 e_1 e_3 e_3 \/ product1 e_4 e_3 e_1
% 3.39/3.57  |- ~product2 e_2 $Z e_1 \/ e_4 == $Z \/ product1 e_1 e_3 e_1 \/
% 3.39/3.57     product1 e_1 e_3 e_2 \/ product1 e_1 e_3 e_3 \/ product1 e_4 e_3 e_1
% 3.39/3.57  |- ~product2 e_2 e_4 $W \/ $W == e_1 \/ product1 e_1 e_3 e_1 \/
% 3.39/3.57     product1 e_1 e_3 e_2 \/ product1 e_1 e_3 e_3 \/ product1 e_4 e_3 e_1
% 3.39/3.57  |- ~product2 e_2 e_4 $Z \/ e_1 == $Z \/ product1 e_1 e_3 e_1 \/
% 3.39/3.57     product1 e_1 e_3 e_2 \/ product1 e_1 e_3 e_3 \/ product1 e_4 e_3 e_1
% 3.39/3.57  |- product1 e_1 e_4 e_1 \/ product1 e_1 e_4 e_2 \/ product2 e_1 e_2 e_1 \/
% 3.39/3.57     product2 e_1 e_2 e_2 \/ product2 e_4 e_2 e_1
% 3.39/3.57  |- ~product2 $W e_2 e_1 \/ $W == e_4 \/ product1 e_1 e_4 e_1 \/
% 3.39/3.57     product1 e_1 e_4 e_2 \/ product2 e_1 e_2 e_1 \/ product2 e_1 e_2 e_2
% 3.39/3.57  |- ~product2 $Z e_2 e_1 \/ e_4 == $Z \/ product1 e_1 e_4 e_1 \/
% 3.39/3.57     product1 e_1 e_4 e_2 \/ product2 e_1 e_2 e_1 \/ product2 e_1 e_2 e_2
% 3.39/3.58  |- ~product2 e_4 $W e_1 \/ $W == e_2 \/ product1 e_1 e_4 e_1 \/
% 3.39/3.58     product1 e_1 e_4 e_2 \/ product2 e_1 e_2 e_1 \/ product2 e_1 e_2 e_2
% 3.39/3.58  |- ~product2 e_4 $Z e_1 \/ e_2 == $Z \/ product1 e_1 e_4 e_1 \/
% 3.39/3.58     product1 e_1 e_4 e_2 \/ product2 e_1 e_2 e_1 \/ product2 e_1 e_2 e_2
% 3.39/3.58  |- ~product2 e_4 e_2 $W \/ $W == e_1 \/ product1 e_1 e_4 e_1 \/
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% 3.39/3.58  |- ~product2 e_4 e_2 $Z \/ e_1 == $Z \/ product1 e_1 e_4 e_1 \/
% 3.39/3.58     product1 e_1 e_4 e_2 \/ product2 e_1 e_2 e_1 \/ product2 e_1 e_2 e_2
% 3.39/3.58  |- product1 e_1 e_4 e_1 \/ product1 e_1 e_4 e_2 \/ product2 e_1 e_4 e_1 \/
% 3.39/3.58     product2 e_1 e_4 e_2
% 3.39/3.58  |- ~product2 $W e_4 e_2 \/ $W == e_1 \/ product1 e_1 e_4 e_1 \/
% 3.39/3.58     product1 e_1 e_4 e_2 \/ product2 e_1 e_4 e_1
% 3.39/3.58  |- ~product2 $Z e_4 e_2 \/ e_1 == $Z \/ product1 e_1 e_4 e_1 \/
% 3.39/3.58     product1 e_1 e_4 e_2 \/ product2 e_1 e_4 e_1
% 3.39/3.58  |- ~product2 e_1 $W e_2 \/ $W == e_4 \/ product1 e_1 e_4 e_1 \/
% 3.39/3.58     product1 e_1 e_4 e_2 \/ product2 e_1 e_4 e_1
% 3.39/3.58  |- ~product2 e_1 $Z e_2 \/ e_4 == $Z \/ product1 e_1 e_4 e_1 \/
% 3.39/3.58     product1 e_1 e_4 e_2 \/ product2 e_1 e_4 e_1
% 3.39/3.58  |- ~product2 e_1 e_4 $W \/ $W == e_2 \/ product1 e_1 e_4 e_1 \/
% 3.39/3.58     product1 e_1 e_4 e_2 \/ product2 e_1 e_4 e_1
% 3.39/3.58  |- ~product2 e_1 e_4 $Z \/ e_2 == $Z \/ product1 e_1 e_4 e_1 \/
% 3.39/3.58     product1 e_1 e_4 e_2 \/ product2 e_1 e_4 e_1
% 3.39/3.58  |- product1 e_1 e_4 e_1 \/ product1 e_1 e_4 e_2 \/ product2 e_1 e_4 e_1 \/
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% 3.39/3.58  |- ~product2 $W e_4 e_1 \/ $W == e_3 \/ product1 e_1 e_4 e_1 \/
% 3.39/3.58     product1 e_1 e_4 e_2 \/ product2 e_1 e_4 e_1
% 3.39/3.58  |- ~product2 $Z e_4 e_1 \/ e_3 == $Z \/ product1 e_1 e_4 e_1 \/
% 3.39/3.58     product1 e_1 e_4 e_2 \/ product2 e_1 e_4 e_1
% 3.39/3.58  |- ~product2 e_3 $W e_1 \/ $W == e_4 \/ product1 e_1 e_4 e_1 \/
% 3.39/3.58     product1 e_1 e_4 e_2 \/ product2 e_1 e_4 e_1
% 3.39/3.58  |- ~product2 e_3 $Z e_1 \/ e_4 == $Z \/ product1 e_1 e_4 e_1 \/
% 3.39/3.58     product1 e_1 e_4 e_2 \/ product2 e_1 e_4 e_1
% 3.39/3.58  |- ~product2 e_3 e_4 $W \/ $W == e_1 \/ product1 e_1 e_4 e_1 \/
% 3.39/3.58     product1 e_1 e_4 e_2 \/ product2 e_1 e_4 e_1
% 3.39/3.58  |- ~product2 e_3 e_4 $Z \/ e_1 == $Z \/ product1 e_1 e_4 e_1 \/
% 3.39/3.58     product1 e_1 e_4 e_2 \/ product2 e_1 e_4 e_1
% 3.39/3.58  |- product1 e_2 e_1 e_1 \/ product1 e_2 e_1 e_2 \/ product1 e_2 e_1 e_3 \/
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% 3.39/3.58  |- ~product2 $W e_3 e_1 \/ $W == e_4 \/ product1 e_2 e_1 e_1 \/
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% 3.39/3.58  |- ~product2 $Z e_3 e_1 \/ e_4 == $Z \/ product1 e_2 e_1 e_1 \/
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% 3.39/3.58  |- ~product2 e_4 $W e_1 \/ $W == e_3 \/ product1 e_2 e_1 e_1 \/
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% 3.39/3.58  |- ~product2 e_4 $Z e_1 \/ e_3 == $Z \/ product1 e_2 e_1 e_1 \/
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% 3.39/3.58  |- ~product2 e_4 e_3 $W \/ $W == e_1 \/ product1 e_2 e_1 e_1 \/
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% 3.39/3.58  |- ~product2 e_4 e_3 $Z \/ e_1 == $Z \/ product1 e_2 e_1 e_1 \/
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% 3.39/3.58  |- product1 e_2 e_1 e_1 \/ product1 e_2 e_1 e_2 \/ product1 e_2 e_1 e_3 \/
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% 3.39/3.58  |- product1 e_1 e_4 e_1 \/ product1 e_1 e_4 e_2 \/ product1 e_2 e_1 e_1 \/
% 3.39/3.58     product1 e_2 e_1 e_2 \/ product1 e_2 e_1 e_3
% 3.39/3.58  |- ~product1 $X e_1 e_2 \/ product1 e_1 e_4 e_1 \/ product1 e_1 e_4 e_2 \/
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% 3.39/3.58  |- ~product1 e_2 $W e_3 \/ $W == e_1 \/ product1 e_1 e_4 e_1 \/
% 3.39/3.58     product1 e_1 e_4 e_2 \/ product1 e_2 e_1 e_1 \/ product1 e_2 e_1 e_2
% 3.39/3.58  |- ~product1 e_2 $Z e_3 \/ e_1 == $Z \/ product1 e_1 e_4 e_1 \/
% 3.39/3.58     product1 e_1 e_4 e_2 \/ product1 e_2 e_1 e_1 \/ product1 e_2 e_1 e_2
% 3.39/3.58  |- ~product1 e_2 e_1 $W \/ $W == e_3 \/ product1 e_1 e_4 e_1 \/
% 3.39/3.58     product1 e_1 e_4 e_2 \/ product1 e_2 e_1 e_1 \/ product1 e_2 e_1 e_2
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% 3.39/3.58  |- ~product1 $Z e_1 e_3 \/ e_2 == $Z \/ product1 e_1 e_4 e_1 \/
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% 3.39/3.58     product1 e_4 e_2 e_2
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% 3.39/3.58     product1 e_4 e_2 e_2
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% 3.39/3.58     product1 e_4 e_2 e_2
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% 3.39/3.58     product1 e_4 e_2 e_2
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% 3.39/3.58     product1 e_4 e_2 e_2
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% 3.39/3.58     product1 e_4 e_1 e_2
% 3.39/3.58  |- ~product2 $Z e_2 e_1 \/ e_3 == $Z \/ product1 e_2 e_1 e_1 \/
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% 3.39/3.58     product1 e_4 e_1 e_2
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% 3.39/3.58     product1 e_4 e_1 e_2
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% 3.39/3.58     product1 e_4 e_1 e_2
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% 3.39/3.58     product1 e_4 e_1 e_2
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% 3.39/3.58  |- ~product1 e_4 e_1 $W \/ $W == e_2 \/ product1 e_2 e_3 e_1 \/
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% 3.39/3.58  |- ~product1 e_4 e_1 $Z \/ e_2 == $Z \/ product1 e_2 e_3 e_1 \/
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% 3.39/3.58  |- ~product1 $W e_1 e_2 \/ $W == e_4 \/ product1 e_2 e_3 e_1 \/
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% 3.39/3.58  |- ~product1 $Z e_1 e_2 \/ e_4 == $Z \/ product1 e_2 e_3 e_1 \/
% 3.39/3.58     product1 e_2 e_3 e_2 \/ product1 e_2 e_3 e_3 \/ product1 e_4 e_1 e_1
% 3.39/3.58  |- product1 e_1 e_2 e_1 \/ product1 e_1 e_2 e_2 \/ product1 e_1 e_2 e_3 \/
% 3.39/3.58     product1 e_1 e_3 e_1 \/ product1 e_1 e_3 e_2
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% 3.39/3.58  |- ~product1 e_1 $Z e_2 \/ e_3 == $Z \/ product1 e_1 e_2 e_1 \/
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% 3.39/3.58  |- ~product1 e_1 e_3 $W \/ $W == e_2 \/ product1 e_1 e_2 e_1 \/
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% 3.39/3.58  |- ~product1 e_1 e_3 $Z \/ e_2 == $Z \/ product1 e_1 e_2 e_1 \/
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% 3.39/3.58  |- ~product1 $W e_3 e_2 \/ $W == e_1 \/ product1 e_1 e_2 e_1 \/
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% 3.42/3.58     product1 e_1 e_2 e_2 \/ product1 e_1 e_2 e_3 \/ product1 e_1 e_3 e_1
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% 3.42/3.58     product1 e_1 e_3 e_1 \/ product1 e_4 e_3 e_1
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% 3.42/3.58  |- ~product1 e_4 e_3 $W \/ $W == e_1 \/ product1 e_1 e_2 e_1 \/
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% 3.42/3.58  |- ~product1 e_4 e_3 $Z \/ e_1 == $Z \/ product1 e_1 e_2 e_1 \/
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% 3.42/3.58  |- ~product1 $W e_3 e_1 \/ $W == e_4 \/ product1 e_1 e_2 e_1 \/
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% 3.42/3.58  |- ~product1 $Z e_3 e_1 \/ e_4 == $Z \/ product1 e_1 e_2 e_1 \/
% 3.42/3.58     product1 e_1 e_2 e_2 \/ product1 e_1 e_2 e_3 \/ product1 e_1 e_3 e_1
% 3.42/3.58  |- product1 e_1 e_2 e_1 \/ product1 e_1 e_2 e_2 \/ product1 e_1 e_2 e_3 \/
% 3.42/3.58     product1 e_3 e_2 e_1
% 3.42/3.58  |- ~product1 $X e_2 e_3 \/ product1 e_1 e_2 e_1 \/ product1 e_1 e_2 e_2 \/
% 3.42/3.58     product1 e_1 e_2 e_3 \/ product2 e_1 $X e_2
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% 3.42/3.58     product1 e_1 e_2 e_3 \/ product2 $Z2 e_3 e_2
% 3.42/3.58  |- ~product1 e_3 $W e_1 \/ $W == e_2 \/ product1 e_1 e_2 e_1 \/
% 3.42/3.58     product1 e_1 e_2 e_2 \/ product1 e_1 e_2 e_3
% 3.42/3.58  |- ~product1 e_3 $Z e_1 \/ e_2 == $Z \/ product1 e_1 e_2 e_1 \/
% 3.42/3.58     product1 e_1 e_2 e_2 \/ product1 e_1 e_2 e_3
% 3.42/3.58  |- ~product1 e_3 e_2 $W \/ $W == e_1 \/ product1 e_1 e_2 e_1 \/
% 3.42/3.58     product1 e_1 e_2 e_2 \/ product1 e_1 e_2 e_3
% 3.42/3.58  |- ~product1 e_3 e_2 $Z \/ e_1 == $Z \/ product1 e_1 e_2 e_1 \/
% 3.42/3.58     product1 e_1 e_2 e_2 \/ product1 e_1 e_2 e_3
% 3.42/3.58  |- ~product1 $W e_2 e_1 \/ $W == e_3 \/ product1 e_1 e_2 e_1 \/
% 3.42/3.58     product1 e_1 e_2 e_2 \/ product1 e_1 e_2 e_3
% 3.42/3.58  |- ~product1 $Z e_2 e_1 \/ e_3 == $Z \/ product1 e_1 e_2 e_1 \/
% 3.42/3.58     product1 e_1 e_2 e_2 \/ product1 e_1 e_2 e_3
% 3.42/3.58  |- product1 e_1 e_2 e_1 \/ product1 e_1 e_2 e_2 \/ product1 e_1 e_2 e_3 \/
% 3.42/3.58     product1 e_4 e_1 e_1 \/ product1 e_4 e_1 e_2
% 3.42/3.58  |- product1 e_1 e_2 e_1 \/ product1 e_1 e_2 e_2 \/ product1 e_1 e_2 e_3 \/
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% 3.42/3.58  |- ~product1 e_4 $Z e_2 \/ e_1 == $Z \/ product1 e_1 e_2 e_1 \/
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% 3.42/3.58  |- ~product1 e_4 e_1 $W \/ $W == e_2 \/ product1 e_1 e_2 e_1 \/
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% 3.42/3.58  |- ~product1 e_4 e_1 $Z \/ e_2 == $Z \/ product1 e_1 e_2 e_1 \/
% 3.42/3.58     product1 e_1 e_2 e_2 \/ product1 e_1 e_2 e_3 \/ product1 e_4 e_1 e_1
% 3.42/3.58  |- ~product1 $W e_1 e_2 \/ $W == e_4 \/ product1 e_1 e_2 e_1 \/
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% 3.42/3.58  |- ~product1 $Z e_1 e_2 \/ e_4 == $Z \/ product1 e_1 e_2 e_1 \/
% 3.42/3.58     product1 e_1 e_2 e_2 \/ product1 e_1 e_2 e_3 \/ product1 e_4 e_1 e_1
% 3.42/3.58  |- product1 e_1 e_2 e_1 \/ product1 e_1 e_2 e_2 \/ product1 e_1 e_2 e_3 \/
% 3.42/3.58     product1 e_4 e_1 e_1 \/ product1 e_4 e_3 e_1
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% 3.42/3.58     product1 e_2 e_4 e_1
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% 3.42/3.58  |- ~product1 e_2 $Z e_1 \/ e_4 == $Z \/ product1 e_1 e_2 e_1 \/
% 3.42/3.58     product1 e_1 e_2 e_2 \/ product1 e_1 e_2 e_3
% 3.42/3.58  |- ~product1 e_2 e_4 $W \/ $W == e_1 \/ product1 e_1 e_2 e_1 \/
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% 3.42/3.58  |- ~product1 e_2 e_4 $Z \/ e_1 == $Z \/ product1 e_1 e_2 e_1 \/
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% 3.42/3.58  |- ~product1 $W e_4 e_1 \/ $W == e_2 \/ product1 e_1 e_2 e_1 \/
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% 3.42/3.58  |- ~product1 $Z e_4 e_1 \/ e_2 == $Z \/ product1 e_1 e_2 e_1 \/
% 3.42/3.58     product1 e_1 e_2 e_2 \/ product1 e_1 e_2 e_3
% 3.42/3.58  |- product1 e_1 e_2 e_1 \/ product1 e_1 e_2 e_2 \/ product1 e_1 e_2 e_3 \/
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% 3.42/3.58  |- ~product2 $Z e_3 e_4 \/ e_1 == $Z \/ product1 e_1 e_2 e_1 \/
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% 3.42/3.58  |- ~product2 e_1 $W e_4 \/ $W == e_3 \/ product1 e_1 e_2 e_1 \/
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% 3.42/3.58  |- ~product2 e_1 e_3 $W \/ $W == e_4 \/ product1 e_1 e_2 e_1 \/
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% 3.42/3.58  |- ~product2 e_1 e_3 $Z \/ e_4 == $Z \/ product1 e_1 e_2 e_1 \/
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% 3.42/3.58  |- ~product1 $X e_3 e_4 \/ product1 e_1 e_2 e_1 \/ product1 e_1 e_2 e_2 \/
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% 3.42/3.58  |- ~product1 e_4 $W e_1 \/ $W == e_3 \/ product1 e_1 e_2 e_1 \/
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% 3.42/3.58  |- ~product1 e_4 $Z e_1 \/ e_3 == $Z \/ product1 e_1 e_2 e_1 \/
% 3.42/3.58     product1 e_1 e_2 e_2 \/ product1 e_1 e_2 e_3 \/ product1 e_4 e_1 e_1
% 3.42/3.58  |- ~product1 e_4 e_3 $W \/ $W == e_1 \/ product1 e_1 e_2 e_1 \/
% 3.42/3.58     product1 e_1 e_2 e_2 \/ product1 e_1 e_2 e_3 \/ product1 e_4 e_1 e_1
% 3.42/3.58  |- ~product1 e_4 e_3 $Z \/ e_1 == $Z \/ product1 e_1 e_2 e_1 \/
% 3.42/3.58     product1 e_1 e_2 e_2 \/ product1 e_1 e_2 e_3 \/ product1 e_4 e_1 e_1
% 3.42/3.58  |- ~product1 $W e_3 e_1 \/ $W == e_4 \/ product1 e_1 e_2 e_1 \/
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% 3.42/3.58  |- ~product1 $Z e_3 e_1 \/ e_4 == $Z \/ product1 e_1 e_2 e_1 \/
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% 3.42/3.58     product2 e_4 e_1 e_1
% 3.42/3.58  |- ~product2 $Z e_1 e_2 \/ e_4 == $Z \/ product1 e_2 e_1 e_1 \/
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% 3.42/3.58     product2 e_4 e_1 e_1
% 3.42/3.58  |- ~product2 e_4 $Z e_2 \/ e_1 == $Z \/ product1 e_2 e_1 e_1 \/
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% 3.42/3.58     product2 e_4 e_1 e_1
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% 3.42/3.58     product2 e_4 e_1 e_1
% 3.42/3.58  |- ~product2 e_4 e_1 $Z \/ e_2 == $Z \/ product1 e_2 e_1 e_1 \/
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% 3.42/3.58     product1 e_2 e_3 e_1
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% 3.42/3.58     product1 e_1 e_3 e_3 \/ product2 $Z2 e_2 e_3
% 3.42/3.58  |- ~product1 e_2 $W e_1 \/ $W == e_3 \/ product1 e_1 e_3 e_1 \/
% 3.42/3.58     product1 e_1 e_3 e_2 \/ product1 e_1 e_3 e_3
% 3.42/3.58  |- ~product1 e_2 $Z e_1 \/ e_3 == $Z \/ product1 e_1 e_3 e_1 \/
% 3.42/3.58     product1 e_1 e_3 e_2 \/ product1 e_1 e_3 e_3
% 3.42/3.58  |- ~product1 e_2 e_3 $W \/ $W == e_1 \/ product1 e_1 e_3 e_1 \/
% 3.42/3.58     product1 e_1 e_3 e_2 \/ product1 e_1 e_3 e_3
% 3.42/3.58  |- ~product1 e_2 e_3 $Z \/ e_1 == $Z \/ product1 e_1 e_3 e_1 \/
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% 3.42/3.58  |- ~product1 $W e_3 e_1 \/ $W == e_2 \/ product1 e_1 e_3 e_1 \/
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% 3.42/3.58  |- ~product1 $Z e_3 e_1 \/ e_2 == $Z \/ product1 e_1 e_3 e_1 \/
% 3.42/3.58     product1 e_1 e_3 e_2 \/ product1 e_1 e_3 e_3
% 3.42/3.58  |- product1 e_1 e_3 e_1 \/ product1 e_1 e_3 e_2 \/ product1 e_1 e_3 e_3 \/
% 3.42/3.58     product1 e_1 e_4 e_1 \/ product1 e_1 e_4 e_2
% 3.42/3.58  |- product1 e_1 e_3 e_1 \/ product1 e_1 e_3 e_2 \/ product1 e_1 e_3 e_3 \/
% 3.42/3.58     product1 e_4 e_3 e_1 \/ product2 e_1 e_4 e_3
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% 3.42/3.59  |- ~product1 e_1 $Z e_2 \/ e_4 == $Z \/ product1 e_1 e_3 e_1 \/
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% 3.42/3.59  |- ~product1 e_1 e_4 $W \/ $W == e_2 \/ product1 e_1 e_3 e_1 \/
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% 3.42/3.59  |- ~product1 e_1 e_4 $Z \/ e_2 == $Z \/ product1 e_1 e_3 e_1 \/
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% 3.42/3.59  |- ~product1 $W e_4 e_2 \/ $W == e_1 \/ product1 e_1 e_3 e_1 \/
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% 3.42/3.59  |- ~product1 $Z e_4 e_2 \/ e_1 == $Z \/ product1 e_1 e_3 e_1 \/
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% 3.42/3.59  |- ~product2 $W e_4 e_3 \/ $W == e_1 \/ product1 e_1 e_3 e_1 \/
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% 3.42/3.59  |- ~product2 $Z e_4 e_3 \/ e_1 == $Z \/ product1 e_1 e_3 e_1 \/
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% 3.42/3.59  |- ~product2 e_1 $W e_3 \/ $W == e_4 \/ product1 e_1 e_3 e_1 \/
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% 3.42/3.59  |- ~product2 e_1 $Z e_3 \/ e_4 == $Z \/ product1 e_1 e_3 e_1 \/
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% 3.42/3.59  |- ~product2 e_1 e_4 $W \/ $W == e_3 \/ product1 e_1 e_3 e_1 \/
% 3.42/3.59     product1 e_1 e_3 e_2 \/ product1 e_1 e_3 e_3 \/ product1 e_4 e_3 e_1
% 3.42/3.59  |- ~product2 e_1 e_4 $Z \/ e_3 == $Z \/ product1 e_1 e_3 e_1 \/
% 3.42/3.59     product1 e_1 e_3 e_2 \/ product1 e_1 e_3 e_3 \/ product1 e_4 e_3 e_1
% 3.42/3.59  |- ~product1 $X e_4 e_3 \/ product1 e_1 e_3 e_1 \/ product1 e_1 e_3 e_2 \/
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% 3.42/3.59  |- ~product1 e_3 $W e_1 \/ $W == e_4 \/ product1 e_1 e_3 e_1 \/
% 3.42/3.59     product1 e_1 e_3 e_2 \/ product1 e_1 e_3 e_3 \/ product1 e_1 e_4 e_1
% 3.42/3.59  |- ~product1 e_3 $Z e_1 \/ e_4 == $Z \/ product1 e_1 e_3 e_1 \/
% 3.42/3.59     product1 e_1 e_3 e_2 \/ product1 e_1 e_3 e_3 \/ product1 e_1 e_4 e_1
% 3.42/3.59  |- ~product1 e_3 e_4 $W \/ $W == e_1 \/ product1 e_1 e_3 e_1 \/
% 3.42/3.59     product1 e_1 e_3 e_2 \/ product1 e_1 e_3 e_3 \/ product1 e_1 e_4 e_1
% 3.42/3.59  |- ~product1 e_3 e_4 $Z \/ e_1 == $Z \/ product1 e_1 e_3 e_1 \/
% 3.42/3.59     product1 e_1 e_3 e_2 \/ product1 e_1 e_3 e_3 \/ product1 e_1 e_4 e_1
% 3.42/3.59  |- ~product1 $W e_4 e_1 \/ $W == e_3 \/ product1 e_1 e_3 e_1 \/
% 3.42/3.59     product1 e_1 e_3 e_2 \/ product1 e_1 e_3 e_3 \/ product1 e_1 e_4 e_1
% 3.42/3.59  |- ~product1 $Z e_4 e_1 \/ e_3 == $Z \/ product1 e_1 e_3 e_1 \/
% 3.42/3.59     product1 e_1 e_3 e_2 \/ product1 e_1 e_3 e_3 \/ product1 e_1 e_4 e_1
% 3.42/3.59  |- product1 e_1 e_2 e_1 \/ product1 e_1 e_2 e_2 \/ product1 e_1 e_2 e_3 \/
% 3.42/3.59     product2 e_4 e_3 e_2
% 3.42/3.59  |- ~product2 $W e_3 e_2 \/ $W == e_4 \/ product1 e_1 e_2 e_1 \/
% 3.42/3.59     product1 e_1 e_2 e_2 \/ product1 e_1 e_2 e_3
% 3.42/3.59  |- ~product2 $Z e_3 e_2 \/ e_4 == $Z \/ product1 e_1 e_2 e_1 \/
% 3.42/3.59     product1 e_1 e_2 e_2 \/ product1 e_1 e_2 e_3
% 3.42/3.59  |- ~product2 e_4 $W e_2 \/ $W == e_3 \/ product1 e_1 e_2 e_1 \/
% 3.42/3.59     product1 e_1 e_2 e_2 \/ product1 e_1 e_2 e_3
% 3.42/3.59  |- ~product2 e_4 $Z e_2 \/ e_3 == $Z \/ product1 e_1 e_2 e_1 \/
% 3.42/3.59     product1 e_1 e_2 e_2 \/ product1 e_1 e_2 e_3
% 3.42/3.59  |- ~product2 e_4 e_3 $W \/ $W == e_2 \/ product1 e_1 e_2 e_1 \/
% 3.42/3.59     product1 e_1 e_2 e_2 \/ product1 e_1 e_2 e_3
% 3.42/3.59  |- ~product2 e_4 e_3 $Z \/ e_2 == $Z \/ product1 e_1 e_2 e_1 \/
% 3.42/3.59     product1 e_1 e_2 e_2 \/ product1 e_1 e_2 e_3
% 3.42/3.59  |- ~product2 $W e_4 e_2 \/ $W == e_1 \/ product1 e_1 e_2 e_1 \/
% 3.42/3.59     product1 e_1 e_2 e_2 \/ product1 e_1 e_2 e_3 \/ product1 e_4 e_2 e_1 \/
% 3.42/3.59     product1 e_4 e_2 e_2
% 3.42/3.59  |- ~product2 $Z e_4 e_2 \/ e_1 == $Z \/ product1 e_1 e_2 e_1 \/
% 3.42/3.59     product1 e_1 e_2 e_2 \/ product1 e_1 e_2 e_3 \/ product1 e_4 e_2 e_1 \/
% 3.42/3.59     product1 e_4 e_2 e_2
% 3.42/3.59  |- ~product2 e_1 $W e_2 \/ $W == e_4 \/ product1 e_1 e_2 e_1 \/
% 3.42/3.59     product1 e_1 e_2 e_2 \/ product1 e_1 e_2 e_3 \/ product1 e_4 e_2 e_1 \/
% 3.42/3.59     product1 e_4 e_2 e_2
% 3.42/3.59  |- ~product2 e_1 $Z e_2 \/ e_4 == $Z \/ product1 e_1 e_2 e_1 \/
% 3.42/3.59     product1 e_1 e_2 e_2 \/ product1 e_1 e_2 e_3 \/ product1 e_4 e_2 e_1 \/
% 3.42/3.59     product1 e_4 e_2 e_2
% 3.42/3.59  |- ~product2 e_1 e_4 $W \/ $W == e_2 \/ product1 e_1 e_2 e_1 \/
% 3.42/3.59     product1 e_1 e_2 e_2 \/ product1 e_1 e_2 e_3 \/ product1 e_4 e_2 e_1 \/
% 3.42/3.59     product1 e_4 e_2 e_2
% 3.42/3.59  |- ~product2 e_1 e_4 $Z \/ e_2 == $Z \/ product1 e_1 e_2 e_1 \/
% 3.42/3.59     product1 e_1 e_2 e_2 \/ product1 e_1 e_2 e_3 \/ product1 e_4 e_2 e_1 \/
% 3.42/3.59     product1 e_4 e_2 e_2
% 3.42/3.59  |- product2 e_2 e_1 e_1 \/ product2 e_2 e_1 e_2 \/ product2 e_2 e_1 e_3 \/
% 3.42/3.59     product2 e_3 e_1 e_1 \/ product2 e_3 e_1 e_2
% 3.42/3.59  |- ~product2 $W e_1 e_2 \/ $W == e_3 \/ product2 e_2 e_1 e_1 \/
% 3.42/3.59     product2 e_2 e_1 e_2 \/ product2 e_2 e_1 e_3 \/ product2 e_3 e_1 e_1
% 3.42/3.59  |- ~product2 $Z e_1 e_2 \/ e_3 == $Z \/ product2 e_2 e_1 e_1 \/
% 3.42/3.59     product2 e_2 e_1 e_2 \/ product2 e_2 e_1 e_3 \/ product2 e_3 e_1 e_1
% 3.42/3.59  |- ~product2 e_3 $W e_2 \/ $W == e_1 \/ product2 e_2 e_1 e_1 \/
% 3.42/3.59     product2 e_2 e_1 e_2 \/ product2 e_2 e_1 e_3 \/ product2 e_3 e_1 e_1
% 3.42/3.59  |- ~product2 e_3 $Z e_2 \/ e_1 == $Z \/ product2 e_2 e_1 e_1 \/
% 3.42/3.59     product2 e_2 e_1 e_2 \/ product2 e_2 e_1 e_3 \/ product2 e_3 e_1 e_1
% 3.42/3.59  |- ~product2 e_3 e_1 $W \/ $W == e_2 \/ product2 e_2 e_1 e_1 \/
% 3.42/3.59     product2 e_2 e_1 e_2 \/ product2 e_2 e_1 e_3 \/ product2 e_3 e_1 e_1
% 3.42/3.59  |- ~product2 e_3 e_1 $Z \/ e_2 == $Z \/ product2 e_2 e_1 e_1 \/
% 3.42/3.59     product2 e_2 e_1 e_2 \/ product2 e_2 e_1 e_3 \/ product2 e_3 e_1 e_1
% 3.42/3.59  |- product2 e_2 e_1 e_1 \/ product2 e_2 e_1 e_2 \/ product2 e_2 e_1 e_3 \/
% 3.42/3.59     product2 e_3 e_1 e_1 \/ product2 e_3 e_4 e_1
% 3.42/3.59  |- ~product2 $W e_4 e_1 \/ $W == e_3 \/ product2 e_2 e_1 e_1 \/
% 3.42/3.59     product2 e_2 e_1 e_2 \/ product2 e_2 e_1 e_3 \/ product2 e_3 e_1 e_1
% 3.42/3.59  |- ~product2 $Z e_4 e_1 \/ e_3 == $Z \/ product2 e_2 e_1 e_1 \/
% 3.42/3.59     product2 e_2 e_1 e_2 \/ product2 e_2 e_1 e_3 \/ product2 e_3 e_1 e_1
% 3.42/3.59  |- ~product2 e_3 $W e_1 \/ $W == e_4 \/ product2 e_2 e_1 e_1 \/
% 3.42/3.59     product2 e_2 e_1 e_2 \/ product2 e_2 e_1 e_3 \/ product2 e_3 e_1 e_1
% 3.42/3.59  |- ~product2 e_3 $Z e_1 \/ e_4 == $Z \/ product2 e_2 e_1 e_1 \/
% 3.42/3.59     product2 e_2 e_1 e_2 \/ product2 e_2 e_1 e_3 \/ product2 e_3 e_1 e_1
% 3.42/3.59  |- ~product2 e_3 e_4 $W \/ $W == e_1 \/ product2 e_2 e_1 e_1 \/
% 3.42/3.59     product2 e_2 e_1 e_2 \/ product2 e_2 e_1 e_3 \/ product2 e_3 e_1 e_1
% 3.42/3.59  |- ~product2 e_3 e_4 $Z \/ e_1 == $Z \/ product2 e_2 e_1 e_1 \/
% 3.42/3.59     product2 e_2 e_1 e_2 \/ product2 e_2 e_1 e_3 \/ product2 e_3 e_1 e_1
% 3.42/3.59  |- product2 e_2 e_1 e_1 \/ product2 e_2 e_1 e_2 \/ product2 e_2 e_1 e_3 \/
% 3.42/3.59     product2 e_2 e_3 e_1
% 3.42/3.59  |- ~product2 $W e_3 e_1 \/ $W == e_2 \/ product2 e_2 e_1 e_1 \/
% 3.42/3.59     product2 e_2 e_1 e_2 \/ product2 e_2 e_1 e_3
% 3.42/3.59  |- ~product2 $Z e_3 e_1 \/ e_2 == $Z \/ product2 e_2 e_1 e_1 \/
% 3.42/3.59     product2 e_2 e_1 e_2 \/ product2 e_2 e_1 e_3
% 3.42/3.59  |- ~product2 e_2 $W e_1 \/ $W == e_3 \/ product2 e_2 e_1 e_1 \/
% 3.42/3.59     product2 e_2 e_1 e_2 \/ product2 e_2 e_1 e_3
% 3.42/3.59  |- ~product2 e_2 $Z e_1 \/ e_3 == $Z \/ product2 e_2 e_1 e_1 \/
% 3.42/3.59     product2 e_2 e_1 e_2 \/ product2 e_2 e_1 e_3
% 3.42/3.59  |- ~product2 e_2 e_3 $W \/ $W == e_1 \/ product2 e_2 e_1 e_1 \/
% 3.42/3.59     product2 e_2 e_1 e_2 \/ product2 e_2 e_1 e_3
% 3.42/3.59  |- ~product2 e_2 e_3 $Z \/ e_1 == $Z \/ product2 e_2 e_1 e_1 \/
% 3.42/3.59     product2 e_2 e_1 e_2 \/ product2 e_2 e_1 e_3
% 3.42/3.59  |- product2 e_1 e_4 e_1 \/ product2 e_1 e_4 e_2 \/ product2 e_2 e_1 e_1 \/
% 3.42/3.59     product2 e_2 e_1 e_2 \/ product2 e_2 e_1 e_3
% 3.42/3.59  |- ~product2 $W e_1 e_3 \/ $W == e_2 \/ product2 e_1 e_4 e_1 \/
% 3.42/3.59     product2 e_1 e_4 e_2 \/ product2 e_2 e_1 e_1 \/ product2 e_2 e_1 e_2
% 3.42/3.59  |- ~product2 $Z e_1 e_3 \/ e_2 == $Z \/ product2 e_1 e_4 e_1 \/
% 3.42/3.59     product2 e_1 e_4 e_2 \/ product2 e_2 e_1 e_1 \/ product2 e_2 e_1 e_2
% 3.42/3.59  |- ~product2 e_2 $W e_3 \/ $W == e_1 \/ product2 e_1 e_4 e_1 \/
% 3.42/3.59     product2 e_1 e_4 e_2 \/ product2 e_2 e_1 e_1 \/ product2 e_2 e_1 e_2
% 3.42/3.59  |- ~product2 e_2 $Z e_3 \/ e_1 == $Z \/ product2 e_1 e_4 e_1 \/
% 3.42/3.59     product2 e_1 e_4 e_2 \/ product2 e_2 e_1 e_1 \/ product2 e_2 e_1 e_2
% 3.42/3.59  |- ~product2 e_2 e_1 $W \/ $W == e_3 \/ product2 e_1 e_4 e_1 \/
% 3.42/3.59     product2 e_1 e_4 e_2 \/ product2 e_2 e_1 e_1 \/ product2 e_2 e_1 e_2
% 3.42/3.59  |- ~product2 e_2 e_1 $Z \/ e_3 == $Z \/ product2 e_1 e_4 e_1 \/
% 3.42/3.59     product2 e_1 e_4 e_2 \/ product2 e_2 e_1 e_1 \/ product2 e_2 e_1 e_2
% 3.42/3.59  |- product2 e_1 e_4 e_1 \/ product2 e_1 e_4 e_2 \/ product2 e_2 e_1 e_1 \/
% 3.42/3.59     product2 e_2 e_1 e_2 \/ product2 e_4 e_1 e_1 \/ product2 e_4 e_1 e_2
% 3.42/3.59  |- product2 e_1 e_3 e_1 \/ product2 e_1 e_3 e_2 \/ product2 e_1 e_3 e_3 \/
% 3.42/3.59     product2 e_2 e_3 e_1
% 3.42/3.59  |- ~product2 $W e_3 e_1 \/ $W == e_2 \/ product2 e_1 e_3 e_1 \/
% 3.42/3.59     product2 e_1 e_3 e_2 \/ product2 e_1 e_3 e_3
% 3.42/3.59  |- ~product2 $Z e_3 e_1 \/ e_2 == $Z \/ product2 e_1 e_3 e_1 \/
% 3.42/3.59     product2 e_1 e_3 e_2 \/ product2 e_1 e_3 e_3
% 3.42/3.59  |- ~product2 e_2 $W e_1 \/ $W == e_3 \/ product2 e_1 e_3 e_1 \/
% 3.42/3.59     product2 e_1 e_3 e_2 \/ product2 e_1 e_3 e_3
% 3.42/3.59  |- ~product2 e_2 $Z e_1 \/ e_3 == $Z \/ product2 e_1 e_3 e_1 \/
% 3.42/3.59     product2 e_1 e_3 e_2 \/ product2 e_1 e_3 e_3
% 3.42/3.59  |- ~product2 e_2 e_3 $W \/ $W == e_1 \/ product2 e_1 e_3 e_1 \/
% 3.42/3.59     product2 e_1 e_3 e_2 \/ product2 e_1 e_3 e_3
% 3.42/3.59  |- ~product2 e_2 e_3 $Z \/ e_1 == $Z \/ product2 e_1 e_3 e_1 \/
% 3.42/3.59     product2 e_1 e_3 e_2 \/ product2 e_1 e_3 e_3
% 3.42/3.59  |- product2 e_1 e_3 e_1 \/ product2 e_1 e_3 e_2 \/ product2 e_1 e_3 e_3 \/
% 3.42/3.59     product2 e_1 e_4 e_1 \/ product2 e_1 e_4 e_2
% 3.42/3.59  |- ~product2 $W e_4 e_2 \/ $W == e_1 \/ product2 e_1 e_3 e_1 \/
% 3.42/3.59     product2 e_1 e_3 e_2 \/ product2 e_1 e_3 e_3 \/ product2 e_1 e_4 e_1
% 3.42/3.59  |- ~product2 $Z e_4 e_2 \/ e_1 == $Z \/ product2 e_1 e_3 e_1 \/
% 3.42/3.59     product2 e_1 e_3 e_2 \/ product2 e_1 e_3 e_3 \/ product2 e_1 e_4 e_1
% 3.42/3.59  |- ~product2 e_1 $W e_2 \/ $W == e_4 \/ product2 e_1 e_3 e_1 \/
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% 3.42/3.59  |- ~product2 e_1 $Z e_2 \/ e_4 == $Z \/ product2 e_1 e_3 e_1 \/
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% 3.42/3.59  |- ~product2 e_1 e_4 $W \/ $W == e_2 \/ product2 e_1 e_3 e_1 \/
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% 3.42/3.59  |- ~product2 e_1 e_4 $Z \/ e_2 == $Z \/ product2 e_1 e_3 e_1 \/
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% 3.42/3.59     product2 e_1 e_4 e_1 \/ product2 e_3 e_4 e_1
% 3.42/3.59  |- ~product2 $W e_4 e_1 \/ $W == e_3 \/ product2 e_1 e_3 e_1 \/
% 3.42/3.59     product2 e_1 e_3 e_2 \/ product2 e_1 e_3 e_3 \/ product2 e_1 e_4 e_1
% 3.42/3.59  |- ~product2 $Z e_4 e_1 \/ e_3 == $Z \/ product2 e_1 e_3 e_1 \/
% 3.42/3.59     product2 e_1 e_3 e_2 \/ product2 e_1 e_3 e_3 \/ product2 e_1 e_4 e_1
% 3.42/3.59  |- ~product2 e_3 $W e_1 \/ $W == e_4 \/ product2 e_1 e_3 e_1 \/
% 3.42/3.59     product2 e_1 e_3 e_2 \/ product2 e_1 e_3 e_3 \/ product2 e_1 e_4 e_1
% 3.42/3.59  |- ~product2 e_3 $Z e_1 \/ e_4 == $Z \/ product2 e_1 e_3 e_1 \/
% 3.42/3.59     product2 e_1 e_3 e_2 \/ product2 e_1 e_3 e_3 \/ product2 e_1 e_4 e_1
% 3.42/3.59  |- ~product2 e_3 e_4 $W \/ $W == e_1 \/ product2 e_1 e_3 e_1 \/
% 3.42/3.59     product2 e_1 e_3 e_2 \/ product2 e_1 e_3 e_3 \/ product2 e_1 e_4 e_1
% 3.42/3.59  |- ~product2 e_3 e_4 $Z \/ e_1 == $Z \/ product2 e_1 e_3 e_1 \/
% 3.42/3.59     product2 e_1 e_3 e_2 \/ product2 e_1 e_3 e_3 \/ product2 e_1 e_4 e_1
% 3.42/3.59  |- product1 e_1 e_4 e_1 \/ product1 e_1 e_4 e_2 \/ product1 e_3 e_4 e_1 \/
% 3.42/3.59     product2 e_2 e_3 e_1
% 3.42/3.59  |- ~product2 $W e_3 e_1 \/ $W == e_2 \/ product1 e_1 e_4 e_1 \/
% 3.42/3.59     product1 e_1 e_4 e_2 \/ product1 e_3 e_4 e_1
% 3.42/3.59  |- ~product2 $Z e_3 e_1 \/ e_2 == $Z \/ product1 e_1 e_4 e_1 \/
% 3.42/3.59     product1 e_1 e_4 e_2 \/ product1 e_3 e_4 e_1
% 3.42/3.59  |- ~product2 e_2 $W e_1 \/ $W == e_3 \/ product1 e_1 e_4 e_1 \/
% 3.42/3.59     product1 e_1 e_4 e_2 \/ product1 e_3 e_4 e_1
% 3.42/3.59  |- ~product2 e_2 $Z e_1 \/ e_3 == $Z \/ product1 e_1 e_4 e_1 \/
% 3.42/3.59     product1 e_1 e_4 e_2 \/ product1 e_3 e_4 e_1
% 3.42/3.59  |- ~product2 e_2 e_3 $W \/ $W == e_1 \/ product1 e_1 e_4 e_1 \/
% 3.42/3.59     product1 e_1 e_4 e_2 \/ product1 e_3 e_4 e_1
% 3.42/3.59  |- ~product2 e_2 e_3 $Z \/ e_1 == $Z \/ product1 e_1 e_4 e_1 \/
% 3.42/3.59     product1 e_1 e_4 e_2 \/ product1 e_3 e_4 e_1
% 3.42/3.59  |- product1 e_1 e_3 e_1 \/ product1 e_1 e_3 e_2 \/ product1 e_1 e_3 e_3 \/
% 3.42/3.59     product2 e_4 e_2 e_3
% 3.42/3.59  |- ~product2 $W e_2 e_3 \/ $W == e_4 \/ product1 e_1 e_3 e_1 \/
% 3.42/3.59     product1 e_1 e_3 e_2 \/ product1 e_1 e_3 e_3
% 3.42/3.59  |- ~product2 $Z e_2 e_3 \/ e_4 == $Z \/ product1 e_1 e_3 e_1 \/
% 3.42/3.59     product1 e_1 e_3 e_2 \/ product1 e_1 e_3 e_3
% 3.42/3.59  |- ~product2 e_4 $W e_3 \/ $W == e_2 \/ product1 e_1 e_3 e_1 \/
% 3.42/3.59     product1 e_1 e_3 e_2 \/ product1 e_1 e_3 e_3
% 3.42/3.59  |- ~product2 e_4 $Z e_3 \/ e_2 == $Z \/ product1 e_1 e_3 e_1 \/
% 3.42/3.59     product1 e_1 e_3 e_2 \/ product1 e_1 e_3 e_3
% 3.42/3.59  |- ~product2 e_4 e_2 $W \/ $W == e_3 \/ product1 e_1 e_3 e_1 \/
% 3.42/3.59     product1 e_1 e_3 e_2 \/ product1 e_1 e_3 e_3
% 3.42/3.59  |- ~product2 e_4 e_2 $Z \/ e_3 == $Z \/ product1 e_1 e_3 e_1 \/
% 3.42/3.59     product1 e_1 e_3 e_2 \/ product1 e_1 e_3 e_3
% 3.42/3.59  |- product1 e_1 e_3 e_1 \/ product1 e_1 e_3 e_2 \/ product1 e_1 e_3 e_3 \/
% 3.42/3.59     product2 e_4 e_1 e_1 \/ product2 e_4 e_1 e_2
% 3.42/3.59  |- ~product2 $W e_1 e_2 \/ $W == e_4 \/ product1 e_1 e_3 e_1 \/
% 3.42/3.59     product1 e_1 e_3 e_2 \/ product1 e_1 e_3 e_3 \/ product2 e_4 e_1 e_1
% 3.42/3.59  |- ~product2 $Z e_1 e_2 \/ e_4 == $Z \/ product1 e_1 e_3 e_1 \/
% 3.42/3.59     product1 e_1 e_3 e_2 \/ product1 e_1 e_3 e_3 \/ product2 e_4 e_1 e_1
% 3.42/3.59  |- ~product2 e_4 $W e_2 \/ $W == e_1 \/ product1 e_1 e_3 e_1 \/
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% 3.42/3.59  |- ~product2 e_4 $Z e_2 \/ e_1 == $Z \/ product1 e_1 e_3 e_1 \/
% 3.42/3.59     product1 e_1 e_3 e_2 \/ product1 e_1 e_3 e_3 \/ product2 e_4 e_1 e_1
% 3.42/3.59  |- ~product2 e_4 e_1 $W \/ $W == e_2 \/ product1 e_1 e_3 e_1 \/
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% 3.42/3.59  |- ~product2 e_4 e_1 $Z \/ e_2 == $Z \/ product1 e_1 e_3 e_1 \/
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% 3.42/3.59     product2 e_4 e_1 e_1 \/ product2 e_4 e_3 e_1
% 3.42/3.59  |- ~product2 $W e_3 e_1 \/ $W == e_4 \/ product1 e_1 e_3 e_1 \/
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% 3.42/3.59  |- ~product2 $Z e_3 e_1 \/ e_4 == $Z \/ product1 e_1 e_3 e_1 \/
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% 3.42/3.59  |- ~product2 e_4 $W e_1 \/ $W == e_3 \/ product1 e_1 e_3 e_1 \/
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% 3.42/3.59  |- ~product2 e_4 $Z e_1 \/ e_3 == $Z \/ product1 e_1 e_3 e_1 \/
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% 3.42/3.59  |- ~product2 e_4 e_3 $W \/ $W == e_1 \/ product1 e_1 e_3 e_1 \/
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% 3.42/3.59  |- ~product2 e_4 e_3 $Z \/ e_1 == $Z \/ product1 e_1 e_3 e_1 \/
% 3.42/3.59     product1 e_1 e_3 e_2 \/ product1 e_1 e_3 e_3 \/ product2 e_4 e_1 e_1
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% 3.42/3.59  |- ~product2 $W e_3 e_1 \/ $W == e_2 \/ product1 e_1 e_2 e_1 \/
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% 3.42/3.59  |- ~product2 $Z e_3 e_1 \/ e_2 == $Z \/ product1 e_1 e_2 e_1 \/
% 3.42/3.59     product1 e_1 e_2 e_2 \/ product1 e_1 e_2 e_3 \/ product1 e_3 e_4 e_1
% 3.42/3.59  |- ~product2 e_2 $W e_1 \/ $W == e_3 \/ product1 e_1 e_2 e_1 \/
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% 3.42/3.59  |- ~product2 e_2 $Z e_1 \/ e_3 == $Z \/ product1 e_1 e_2 e_1 \/
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% 3.42/3.59  |- ~product2 e_2 e_3 $W \/ $W == e_1 \/ product1 e_1 e_2 e_1 \/
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% 3.42/3.59  |- ~product2 e_2 e_3 $Z \/ e_1 == $Z \/ product1 e_1 e_2 e_1 \/
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% 3.42/3.59  |- ~product2 $W e_4 e_1 \/ $W == e_3 \/ product1 e_1 e_2 e_1 \/
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% 3.42/3.59     product1 e_4 e_2 e_2
% 3.42/3.59  |- ~product2 $Z e_4 e_1 \/ e_3 == $Z \/ product1 e_1 e_2 e_1 \/
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% 3.42/3.59     product1 e_4 e_2 e_2
% 3.42/3.59  |- ~product2 e_3 $W e_1 \/ $W == e_4 \/ product1 e_1 e_2 e_1 \/
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% 3.42/3.59     product1 e_4 e_2 e_2
% 3.42/3.59  |- ~product2 e_3 $Z e_1 \/ e_4 == $Z \/ product1 e_1 e_2 e_1 \/
% 3.42/3.59     product1 e_1 e_2 e_2 \/ product1 e_1 e_2 e_3 \/ product1 e_4 e_2 e_1 \/
% 3.42/3.59     product1 e_4 e_2 e_2
% 3.42/3.59  |- ~product2 e_3 e_4 $W \/ $W == e_1 \/ product1 e_1 e_2 e_1 \/
% 3.42/3.59     product1 e_1 e_2 e_2 \/ product1 e_1 e_2 e_3 \/ product1 e_4 e_2 e_1 \/
% 3.42/3.59     product1 e_4 e_2 e_2
% 3.42/3.59  |- ~product2 e_3 e_4 $Z \/ e_1 == $Z \/ product1 e_1 e_2 e_1 \/
% 3.42/3.59     product1 e_1 e_2 e_2 \/ product1 e_1 e_2 e_3 \/ product1 e_4 e_2 e_1 \/
% 3.42/3.59     product1 e_4 e_2 e_2
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% 3.42/3.59     product1 e_3 e_2 e_1
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% 3.42/3.60  |- ~product1 e_3 $Z e_1 \/ e_2 == $Z \/ product1 e_3 e_1 e_1 \/
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% 3.42/3.60  |- ~product1 e_3 e_2 $W \/ $W == e_1 \/ product1 e_3 e_1 e_1 \/
% 3.42/3.60     product1 e_3 e_1 e_2 \/ product1 e_3 e_1 e_3
% 3.42/3.60  |- ~product1 e_3 e_2 $Z \/ e_1 == $Z \/ product1 e_3 e_1 e_1 \/
% 3.42/3.60     product1 e_3 e_1 e_2 \/ product1 e_3 e_1 e_3
% 3.42/3.60  |- ~product1 $W e_2 e_1 \/ $W == e_3 \/ product1 e_3 e_1 e_1 \/
% 3.42/3.60     product1 e_3 e_1 e_2 \/ product1 e_3 e_1 e_3
% 3.42/3.60  |- ~product1 $Z e_2 e_1 \/ e_3 == $Z \/ product1 e_3 e_1 e_1 \/
% 3.42/3.60     product1 e_3 e_1 e_2 \/ product1 e_3 e_1 e_3
% 3.42/3.60  |- product1 e_3 e_1 e_1 \/ product1 e_3 e_1 e_2 \/ product1 e_3 e_1 e_3 \/
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% 3.42/3.60  |- ~product1 e_3 $Z e_2 \/ e_1 == $Z \/ product1 e_2 e_4 e_1 \/
% 3.42/3.60     product1 e_2 e_4 e_2 \/ product1 e_3 e_1 e_1
% 3.42/3.60  |- ~product1 e_3 e_1 $W \/ $W == e_2 \/ product1 e_2 e_4 e_1 \/
% 3.42/3.60     product1 e_2 e_4 e_2 \/ product1 e_3 e_1 e_1
% 3.42/3.60  |- ~product1 e_3 e_1 $Z \/ e_2 == $Z \/ product1 e_2 e_4 e_1 \/
% 3.42/3.60     product1 e_2 e_4 e_2 \/ product1 e_3 e_1 e_1
% 3.42/3.60  |- ~product1 $W e_1 e_2 \/ $W == e_3 \/ product1 e_2 e_4 e_1 \/
% 3.42/3.60     product1 e_2 e_4 e_2 \/ product1 e_3 e_1 e_1
% 3.42/3.60  |- ~product1 $Z e_1 e_2 \/ e_3 == $Z \/ product1 e_2 e_4 e_1 \/
% 3.42/3.60     product1 e_2 e_4 e_2 \/ product1 e_3 e_1 e_1
% 3.42/3.60  |- product1 e_2 e_4 e_1 \/ product1 e_2 e_4 e_2 \/ product1 e_3 e_1 e_1 \/
% 3.42/3.60     product1 e_4 e_1 e_1 \/ product1 e_4 e_1 e_2 \/ product2 e_2 e_4 e_1
% 3.42/3.60  |- product2 e_3 e_1 e_1 \/ product2 e_3 e_1 e_2 \/ product2 e_3 e_1 e_3 \/
% 3.42/3.60     product2 e_3 e_2 e_1
% 3.42/3.60  |- ~product2 $W e_2 e_1 \/ $W == e_3 \/ product2 e_3 e_1 e_1 \/
% 3.42/3.60     product2 e_3 e_1 e_2 \/ product2 e_3 e_1 e_3
% 3.42/3.60  |- ~product2 $Z e_2 e_1 \/ e_3 == $Z \/ product2 e_3 e_1 e_1 \/
% 3.42/3.60     product2 e_3 e_1 e_2 \/ product2 e_3 e_1 e_3
% 3.42/3.60  |- ~product2 e_3 $W e_1 \/ $W == e_2 \/ product2 e_3 e_1 e_1 \/
% 3.42/3.60     product2 e_3 e_1 e_2 \/ product2 e_3 e_1 e_3
% 3.42/3.60  |- ~product2 e_3 $Z e_1 \/ e_2 == $Z \/ product2 e_3 e_1 e_1 \/
% 3.42/3.60     product2 e_3 e_1 e_2 \/ product2 e_3 e_1 e_3
% 3.42/3.60  |- ~product2 e_3 e_2 $W \/ $W == e_1 \/ product2 e_3 e_1 e_1 \/
% 3.42/3.60     product2 e_3 e_1 e_2 \/ product2 e_3 e_1 e_3
% 3.42/3.60  |- ~product2 e_3 e_2 $Z \/ e_1 == $Z \/ product2 e_3 e_1 e_1 \/
% 3.42/3.60     product2 e_3 e_1 e_2 \/ product2 e_3 e_1 e_3
% 3.42/3.60  |- product2 e_3 e_1 e_1 \/ product2 e_3 e_1 e_2 \/ product2 e_3 e_1 e_3 \/
% 3.42/3.60     product2 e_4 e_1 e_1 \/ product2 e_4 e_1 e_2
% 3.42/3.60  |- ~product2 $W e_1 e_2 \/ $W == e_4 \/ product2 e_3 e_1 e_1 \/
% 3.42/3.60     product2 e_3 e_1 e_2 \/ product2 e_3 e_1 e_3 \/ product2 e_4 e_1 e_1
% 3.42/3.60  |- ~product2 $Z e_1 e_2 \/ e_4 == $Z \/ product2 e_3 e_1 e_1 \/
% 3.42/3.60     product2 e_3 e_1 e_2 \/ product2 e_3 e_1 e_3 \/ product2 e_4 e_1 e_1
% 3.42/3.60  |- ~product2 e_4 $W e_2 \/ $W == e_1 \/ product2 e_3 e_1 e_1 \/
% 3.42/3.60     product2 e_3 e_1 e_2 \/ product2 e_3 e_1 e_3 \/ product2 e_4 e_1 e_1
% 3.42/3.60  |- ~product2 e_4 $Z e_2 \/ e_1 == $Z \/ product2 e_3 e_1 e_1 \/
% 3.42/3.60     product2 e_3 e_1 e_2 \/ product2 e_3 e_1 e_3 \/ product2 e_4 e_1 e_1
% 3.42/3.60  |- ~product2 e_4 e_1 $W \/ $W == e_2 \/ product2 e_3 e_1 e_1 \/
% 3.42/3.60     product2 e_3 e_1 e_2 \/ product2 e_3 e_1 e_3 \/ product2 e_4 e_1 e_1
% 3.42/3.60  |- ~product2 e_4 e_1 $Z \/ e_2 == $Z \/ product2 e_3 e_1 e_1 \/
% 3.42/3.60     product2 e_3 e_1 e_2 \/ product2 e_3 e_1 e_3 \/ product2 e_4 e_1 e_1
% 3.42/3.60  |- product2 e_3 e_1 e_1 \/ product2 e_3 e_1 e_2 \/ product2 e_3 e_1 e_3 \/
% 3.42/3.60     product2 e_4 e_1 e_1 \/ product2 e_4 e_3 e_1
% 3.42/3.60  |- ~product2 $W e_3 e_1 \/ $W == e_4 \/ product2 e_3 e_1 e_1 \/
% 3.42/3.60     product2 e_3 e_1 e_2 \/ product2 e_3 e_1 e_3 \/ product2 e_4 e_1 e_1
% 3.42/3.60  |- ~product2 $Z e_3 e_1 \/ e_4 == $Z \/ product2 e_3 e_1 e_1 \/
% 3.42/3.60     product2 e_3 e_1 e_2 \/ product2 e_3 e_1 e_3 \/ product2 e_4 e_1 e_1
% 3.42/3.60  |- ~product2 e_4 $W e_1 \/ $W == e_3 \/ product2 e_3 e_1 e_1 \/
% 3.42/3.60     product2 e_3 e_1 e_2 \/ product2 e_3 e_1 e_3 \/ product2 e_4 e_1 e_1
% 3.42/3.60  |- ~product2 e_4 $Z e_1 \/ e_3 == $Z \/ product2 e_3 e_1 e_1 \/
% 3.42/3.60     product2 e_3 e_1 e_2 \/ product2 e_3 e_1 e_3 \/ product2 e_4 e_1 e_1
% 3.42/3.60  |- ~product2 e_4 e_3 $W \/ $W == e_1 \/ product2 e_3 e_1 e_1 \/
% 3.42/3.60     product2 e_3 e_1 e_2 \/ product2 e_3 e_1 e_3 \/ product2 e_4 e_1 e_1
% 3.42/3.60  |- ~product2 e_4 e_3 $Z \/ e_1 == $Z \/ product2 e_3 e_1 e_1 \/
% 3.42/3.60     product2 e_3 e_1 e_2 \/ product2 e_3 e_1 e_3 \/ product2 e_4 e_1 e_1
% 3.42/3.60  |- product2 e_1 e_2 e_1 \/ product2 e_1 e_2 e_2 \/ product2 e_1 e_2 e_3 \/
% 3.42/3.60     product2 e_3 e_2 e_1
% 3.42/3.60  |- ~product2 $W e_2 e_1 \/ $W == e_3 \/ product2 e_1 e_2 e_1 \/
% 3.42/3.60     product2 e_1 e_2 e_2 \/ product2 e_1 e_2 e_3
% 3.42/3.60  |- ~product2 $Z e_2 e_1 \/ e_3 == $Z \/ product2 e_1 e_2 e_1 \/
% 3.42/3.60     product2 e_1 e_2 e_2 \/ product2 e_1 e_2 e_3
% 3.42/3.60  |- ~product2 e_3 $W e_1 \/ $W == e_2 \/ product2 e_1 e_2 e_1 \/
% 3.42/3.60     product2 e_1 e_2 e_2 \/ product2 e_1 e_2 e_3
% 3.42/3.60  |- ~product2 e_3 $Z e_1 \/ e_2 == $Z \/ product2 e_1 e_2 e_1 \/
% 3.42/3.60     product2 e_1 e_2 e_2 \/ product2 e_1 e_2 e_3
% 3.42/3.60  |- ~product2 e_3 e_2 $W \/ $W == e_1 \/ product2 e_1 e_2 e_1 \/
% 3.42/3.60     product2 e_1 e_2 e_2 \/ product2 e_1 e_2 e_3
% 3.42/3.60  |- ~product2 e_3 e_2 $Z \/ e_1 == $Z \/ product2 e_1 e_2 e_1 \/
% 3.42/3.60     product2 e_1 e_2 e_2 \/ product2 e_1 e_2 e_3
% 3.42/3.60  |- product2 e_1 e_2 e_1 \/ product2 e_1 e_2 e_2 \/ product2 e_1 e_2 e_3 \/
% 3.42/3.60     product2 e_4 e_1 e_1 \/ product2 e_4 e_1 e_2
% 3.42/3.60  |- ~product2 $W e_1 e_2 \/ $W == e_4 \/ product2 e_1 e_2 e_1 \/
% 3.42/3.60     product2 e_1 e_2 e_2 \/ product2 e_1 e_2 e_3 \/ product2 e_4 e_1 e_1
% 3.42/3.60  |- ~product2 $Z e_1 e_2 \/ e_4 == $Z \/ product2 e_1 e_2 e_1 \/
% 3.42/3.60     product2 e_1 e_2 e_2 \/ product2 e_1 e_2 e_3 \/ product2 e_4 e_1 e_1
% 3.42/3.60  |- ~product2 e_4 $W e_2 \/ $W == e_1 \/ product2 e_1 e_2 e_1 \/
% 3.42/3.60     product2 e_1 e_2 e_2 \/ product2 e_1 e_2 e_3 \/ product2 e_4 e_1 e_1
% 3.42/3.60  |- ~product2 e_4 $Z e_2 \/ e_1 == $Z \/ product2 e_1 e_2 e_1 \/
% 3.42/3.60     product2 e_1 e_2 e_2 \/ product2 e_1 e_2 e_3 \/ product2 e_4 e_1 e_1
% 3.42/3.60  |- ~product2 e_4 e_1 $W \/ $W == e_2 \/ product2 e_1 e_2 e_1 \/
% 3.42/3.60     product2 e_1 e_2 e_2 \/ product2 e_1 e_2 e_3 \/ product2 e_4 e_1 e_1
% 3.42/3.60  |- ~product2 e_4 e_1 $Z \/ e_2 == $Z \/ product2 e_1 e_2 e_1 \/
% 3.42/3.60     product2 e_1 e_2 e_2 \/ product2 e_1 e_2 e_3 \/ product2 e_4 e_1 e_1
% 3.42/3.60  |- product2 e_1 e_2 e_1 \/ product2 e_1 e_2 e_2 \/ product2 e_1 e_2 e_3 \/
% 3.42/3.60     product2 e_4 e_1 e_1 \/ product2 e_4 e_3 e_1
% 3.42/3.60  |- ~product2 $W e_3 e_1 \/ $W == e_4 \/ product2 e_1 e_2 e_1 \/
% 3.42/3.60     product2 e_1 e_2 e_2 \/ product2 e_1 e_2 e_3 \/ product2 e_4 e_1 e_1
% 3.42/3.60  |- ~product2 $Z e_3 e_1 \/ e_4 == $Z \/ product2 e_1 e_2 e_1 \/
% 3.42/3.60     product2 e_1 e_2 e_2 \/ product2 e_1 e_2 e_3 \/ product2 e_4 e_1 e_1
% 3.42/3.60  |- ~product2 e_4 $W e_1 \/ $W == e_3 \/ product2 e_1 e_2 e_1 \/
% 3.42/3.60     product2 e_1 e_2 e_2 \/ product2 e_1 e_2 e_3 \/ product2 e_4 e_1 e_1
% 3.42/3.60  |- ~product2 e_4 $Z e_1 \/ e_3 == $Z \/ product2 e_1 e_2 e_1 \/
% 3.42/3.60     product2 e_1 e_2 e_2 \/ product2 e_1 e_2 e_3 \/ product2 e_4 e_1 e_1
% 3.42/3.60  |- ~product2 e_4 e_3 $W \/ $W == e_1 \/ product2 e_1 e_2 e_1 \/
% 3.42/3.60     product2 e_1 e_2 e_2 \/ product2 e_1 e_2 e_3 \/ product2 e_4 e_1 e_1
% 3.42/3.60  |- ~product2 e_4 e_3 $Z \/ e_1 == $Z \/ product2 e_1 e_2 e_1 \/
% 3.42/3.60     product2 e_1 e_2 e_2 \/ product2 e_1 e_2 e_3 \/ product2 e_4 e_1 e_1
% 3.42/3.60  |- product2 e_1 e_2 e_1 \/ product2 e_1 e_2 e_2 \/ product2 e_1 e_2 e_3 \/
% 3.42/3.60     product2 e_1 e_3 e_1 \/ product2 e_1 e_3 e_2
% 3.42/3.60  |- ~product2 $W e_3 e_2 \/ $W == e_1 \/ product2 e_1 e_2 e_1 \/
% 3.42/3.60     product2 e_1 e_2 e_2 \/ product2 e_1 e_2 e_3 \/ product2 e_1 e_3 e_1
% 3.42/3.60  |- ~product2 $Z e_3 e_2 \/ e_1 == $Z \/ product2 e_1 e_2 e_1 \/
% 3.42/3.60     product2 e_1 e_2 e_2 \/ product2 e_1 e_2 e_3 \/ product2 e_1 e_3 e_1
% 3.42/3.60  |- ~product2 e_1 $W e_2 \/ $W == e_3 \/ product2 e_1 e_2 e_1 \/
% 3.42/3.60     product2 e_1 e_2 e_2 \/ product2 e_1 e_2 e_3 \/ product2 e_1 e_3 e_1
% 3.42/3.60  |- ~product2 e_1 $Z e_2 \/ e_3 == $Z \/ product2 e_1 e_2 e_1 \/
% 3.42/3.60     product2 e_1 e_2 e_2 \/ product2 e_1 e_2 e_3 \/ product2 e_1 e_3 e_1
% 3.42/3.60  |- ~product2 e_1 e_3 $W \/ $W == e_2 \/ product2 e_1 e_2 e_1 \/
% 3.42/3.60     product2 e_1 e_2 e_2 \/ product2 e_1 e_2 e_3 \/ product2 e_1 e_3 e_1
% 3.42/3.60  |- ~product2 e_1 e_3 $Z \/ e_2 == $Z \/ product2 e_1 e_2 e_1 \/
% 3.42/3.60     product2 e_1 e_2 e_2 \/ product2 e_1 e_2 e_3 \/ product2 e_1 e_3 e_1
% 3.42/3.60  |- product2 e_1 e_2 e_1 \/ product2 e_1 e_2 e_2 \/ product2 e_1 e_2 e_3 \/
% 3.42/3.60     product2 e_1 e_3 e_1 \/ product2 e_4 e_3 e_1
% 3.42/3.60  |- ~product2 $W e_3 e_1 \/ $W == e_4 \/ product2 e_1 e_2 e_1 \/
% 3.42/3.60     product2 e_1 e_2 e_2 \/ product2 e_1 e_2 e_3 \/ product2 e_1 e_3 e_1
% 3.42/3.60  |- ~product2 $Z e_3 e_1 \/ e_4 == $Z \/ product2 e_1 e_2 e_1 \/
% 3.42/3.60     product2 e_1 e_2 e_2 \/ product2 e_1 e_2 e_3 \/ product2 e_1 e_3 e_1
% 3.42/3.60  |- ~product2 e_4 $W e_1 \/ $W == e_3 \/ product2 e_1 e_2 e_1 \/
% 3.42/3.60     product2 e_1 e_2 e_2 \/ product2 e_1 e_2 e_3 \/ product2 e_1 e_3 e_1
% 3.42/3.60  |- ~product2 e_4 $Z e_1 \/ e_3 == $Z \/ product2 e_1 e_2 e_1 \/
% 3.42/3.60     product2 e_1 e_2 e_2 \/ product2 e_1 e_2 e_3 \/ product2 e_1 e_3 e_1
% 3.42/3.60  |- ~product2 e_4 e_3 $W \/ $W == e_1 \/ product2 e_1 e_2 e_1 \/
% 3.42/3.60     product2 e_1 e_2 e_2 \/ product2 e_1 e_2 e_3 \/ product2 e_1 e_3 e_1
% 3.42/3.60  |- ~product2 e_4 e_3 $Z \/ e_1 == $Z \/ product2 e_1 e_2 e_1 \/
% 3.42/3.60     product2 e_1 e_2 e_2 \/ product2 e_1 e_2 e_3 \/ product2 e_1 e_3 e_1
% 3.42/3.60  |- ~product2 $W e_4 e_2 \/ $W == e_1 \/ product1 e_3 e_1 e_1 \/
% 3.42/3.60     product1 e_3 e_1 e_2 \/ product1 e_3 e_1 e_3 \/ product1 e_4 e_2 e_1 \/
% 3.42/3.60     product1 e_4 e_2 e_2
% 3.42/3.60  |- ~product2 $Z e_4 e_2 \/ e_1 == $Z \/ product1 e_3 e_1 e_1 \/
% 3.42/3.60     product1 e_3 e_1 e_2 \/ product1 e_3 e_1 e_3 \/ product1 e_4 e_2 e_1 \/
% 3.42/3.60     product1 e_4 e_2 e_2
% 3.42/3.60  |- ~product2 e_1 $W e_2 \/ $W == e_4 \/ product1 e_3 e_1 e_1 \/
% 3.42/3.60     product1 e_3 e_1 e_2 \/ product1 e_3 e_1 e_3 \/ product1 e_4 e_2 e_1 \/
% 3.42/3.60     product1 e_4 e_2 e_2
% 3.42/3.60  |- ~product2 e_1 $Z e_2 \/ e_4 == $Z \/ product1 e_3 e_1 e_1 \/
% 3.42/3.60     product1 e_3 e_1 e_2 \/ product1 e_3 e_1 e_3 \/ product1 e_4 e_2 e_1 \/
% 3.42/3.60     product1 e_4 e_2 e_2
% 3.42/3.60  |- ~product2 e_1 e_4 $W \/ $W == e_2 \/ product1 e_3 e_1 e_1 \/
% 3.42/3.60     product1 e_3 e_1 e_2 \/ product1 e_3 e_1 e_3 \/ product1 e_4 e_2 e_1 \/
% 3.42/3.60     product1 e_4 e_2 e_2
% 3.42/3.60  |- ~product2 e_1 e_4 $Z \/ e_2 == $Z \/ product1 e_3 e_1 e_1 \/
% 3.42/3.60     product1 e_3 e_1 e_2 \/ product1 e_3 e_1 e_3 \/ product1 e_4 e_2 e_1 \/
% 3.42/3.60     product1 e_4 e_2 e_2
% 3.42/3.60  |- product1 e_3 e_1 e_1 \/ product1 e_3 e_1 e_2 \/ product1 e_3 e_1 e_3 \/
% 3.42/3.60     product1 e_4 e_2 e_1 \/ product1 e_4 e_2 e_2 \/ product2 e_3 e_4 e_1
% 3.42/3.60  |- product1 e_1 e_2 e_1 \/ product1 e_1 e_2 e_2 \/ product1 e_1 e_2 e_3 \/
% 3.42/3.60     product1 e_1 e_3 e_1 \/ product1 e_2 e_3 e_1 \/ product1 e_2 e_3 e_2 \/
% 3.42/3.60     product1 e_2 e_3 e_3 \/ product2 e_4 e_1 e_3
% 3.42/3.60  |- product1 e_1 e_2 e_1 \/ product1 e_1 e_2 e_2 \/ product1 e_1 e_2 e_3 \/
% 3.42/3.60     product1 e_2 e_1 e_1 \/ product1 e_2 e_1 e_2 \/ product1 e_2 e_1 e_3
% 3.42/3.60  |- ~product1 $X e_1 e_2 \/ product1 e_1 e_2 e_1 \/ product1 e_1 e_2 e_2 \/
% 3.42/3.60     product1 e_1 e_2 e_3 \/ product1 e_2 e_1 e_1 \/ product1 e_2 e_1 e_2 \/
% 3.42/3.60     product2 e_3 $X e_1
% 3.42/3.60  |- ~product1 e_2 $W e_3 \/ $W == e_1 \/ product1 e_1 e_2 e_1 \/
% 3.42/3.60     product1 e_1 e_2 e_2 \/ product1 e_1 e_2 e_3 \/ product1 e_2 e_1 e_1 \/
% 3.42/3.60     product1 e_2 e_1 e_2
% 3.42/3.60  |- ~product1 e_2 $Z e_3 \/ e_1 == $Z \/ product1 e_1 e_2 e_1 \/
% 3.42/3.60     product1 e_1 e_2 e_2 \/ product1 e_1 e_2 e_3 \/ product1 e_2 e_1 e_1 \/
% 3.42/3.60     product1 e_2 e_1 e_2
% 3.42/3.60  |- ~product1 e_2 e_1 $W \/ $W == e_3 \/ product1 e_1 e_2 e_1 \/
% 3.42/3.60     product1 e_1 e_2 e_2 \/ product1 e_1 e_2 e_3 \/ product1 e_2 e_1 e_1 \/
% 3.42/3.60     product1 e_2 e_1 e_2
% 3.42/3.60  |- ~product1 e_2 e_1 $Z \/ e_3 == $Z \/ product1 e_1 e_2 e_1 \/
% 3.42/3.60     product1 e_1 e_2 e_2 \/ product1 e_1 e_2 e_3 \/ product1 e_2 e_1 e_1 \/
% 3.42/3.60     product1 e_2 e_1 e_2
% 3.42/3.60  |- ~product1 $W e_1 e_3 \/ $W == e_2 \/ product1 e_1 e_2 e_1 \/
% 3.42/3.60     product1 e_1 e_2 e_2 \/ product1 e_1 e_2 e_3 \/ product1 e_2 e_1 e_1 \/
% 3.42/3.60     product1 e_2 e_1 e_2
% 3.42/3.60  |- ~product1 $Z e_1 e_3 \/ e_2 == $Z \/ product1 e_1 e_2 e_1 \/
% 3.42/3.60     product1 e_1 e_2 e_2 \/ product1 e_1 e_2 e_3 \/ product1 e_2 e_1 e_1 \/
% 3.42/3.60     product1 e_2 e_1 e_2
% 3.42/3.60  |- product1 e_1 e_2 e_1 \/ product1 e_1 e_2 e_2 \/ product1 e_1 e_2 e_3 \/
% 3.42/3.60     product1 e_2 e_1 e_1 \/ product1 e_2 e_1 e_2 \/ product1 e_3 e_1 e_1 \/
% 3.42/3.60     product1 e_3 e_1 e_2 \/ product1 e_3 e_1 e_3 \/ product2 e_4 e_2 e_1
% 3.42/3.60  |- product1 e_1 e_4 e_1 \/ product1 e_1 e_4 e_2 \/ product1 e_2 e_1 e_1 \/
% 3.42/3.60     product1 e_2 e_1 e_2 \/ product1 e_3 e_1 e_1 \/ product1 e_3 e_1 e_2 \/
% 3.42/3.60     product1 e_3 e_1 e_3 \/ product2 e_4 e_2 e_1
% 3.42/3.60  |- product1 e_2 e_4 e_1 \/ product1 e_2 e_4 e_2 \/ product2 e_2 e_1 e_1 \/
% 3.42/3.60     product2 e_2 e_1 e_2 \/ product2 e_2 e_1 e_3
% 3.42/3.60  |- ~product2 $W e_1 e_3 \/ $W == e_2 \/ product1 e_2 e_4 e_1 \/
% 3.42/3.60     product1 e_2 e_4 e_2 \/ product2 e_2 e_1 e_1 \/ product2 e_2 e_1 e_2
% 3.42/3.60  |- ~product2 $Z e_1 e_3 \/ e_2 == $Z \/ product1 e_2 e_4 e_1 \/
% 3.42/3.60     product1 e_2 e_4 e_2 \/ product2 e_2 e_1 e_1 \/ product2 e_2 e_1 e_2
% 3.42/3.60  |- ~product2 e_2 $W e_3 \/ $W == e_1 \/ product1 e_2 e_4 e_1 \/
% 3.42/3.60     product1 e_2 e_4 e_2 \/ product2 e_2 e_1 e_1 \/ product2 e_2 e_1 e_2
% 3.42/3.60  |- ~product2 e_2 $Z e_3 \/ e_1 == $Z \/ product1 e_2 e_4 e_1 \/
% 3.42/3.60     product1 e_2 e_4 e_2 \/ product2 e_2 e_1 e_1 \/ product2 e_2 e_1 e_2
% 3.42/3.60  |- ~product2 e_2 e_1 $W \/ $W == e_3 \/ product1 e_2 e_4 e_1 \/
% 3.42/3.60     product1 e_2 e_4 e_2 \/ product2 e_2 e_1 e_1 \/ product2 e_2 e_1 e_2
% 3.42/3.60  |- ~product2 e_2 e_1 $Z \/ e_3 == $Z \/ product1 e_2 e_4 e_1 \/
% 3.42/3.60     product1 e_2 e_4 e_2 \/ product2 e_2 e_1 e_1 \/ product2 e_2 e_1 e_2
% 3.42/3.60  |- ~product2 $W e_1 e_2 \/ $W == e_4 \/ product2 e_1 e_4 e_1 \/
% 3.42/3.60     product2 e_1 e_4 e_2 \/ product2 e_2 e_1 e_1 \/ product2 e_2 e_1 e_2 \/
% 3.42/3.60     product2 e_4 e_1 e_1
% 3.42/3.60  |- ~product2 $Z e_1 e_2 \/ e_4 == $Z \/ product2 e_1 e_4 e_1 \/
% 3.42/3.60     product2 e_1 e_4 e_2 \/ product2 e_2 e_1 e_1 \/ product2 e_2 e_1 e_2 \/
% 3.42/3.60     product2 e_4 e_1 e_1
% 3.42/3.60  |- ~product2 e_4 $W e_2 \/ $W == e_1 \/ product2 e_1 e_4 e_1 \/
% 3.42/3.60     product2 e_1 e_4 e_2 \/ product2 e_2 e_1 e_1 \/ product2 e_2 e_1 e_2 \/
% 3.42/3.60     product2 e_4 e_1 e_1
% 3.42/3.60  |- ~product2 e_4 $Z e_2 \/ e_1 == $Z \/ product2 e_1 e_4 e_1 \/
% 3.42/3.60     product2 e_1 e_4 e_2 \/ product2 e_2 e_1 e_1 \/ product2 e_2 e_1 e_2 \/
% 3.42/3.60     product2 e_4 e_1 e_1
% 3.42/3.60  |- ~product2 e_4 e_1 $W \/ $W == e_2 \/ product2 e_1 e_4 e_1 \/
% 3.42/3.60     product2 e_1 e_4 e_2 \/ product2 e_2 e_1 e_1 \/ product2 e_2 e_1 e_2 \/
% 3.42/3.60     product2 e_4 e_1 e_1
% 3.42/3.60  |- ~product2 e_4 e_1 $Z \/ e_2 == $Z \/ product2 e_1 e_4 e_1 \/
% 3.42/3.60     product2 e_1 e_4 e_2 \/ product2 e_2 e_1 e_1 \/ product2 e_2 e_1 e_2 \/
% 3.42/3.60     product2 e_4 e_1 e_1
% 3.42/3.60  |- product2 e_1 e_4 e_1 \/ product2 e_1 e_4 e_2 \/ product2 e_2 e_1 e_1 \/
% 3.42/3.60     product2 e_2 e_1 e_2 \/ product2 e_4 e_1 e_1 \/ product2 e_4 e_3 e_1
% 3.42/3.60  |- product1 e_1 e_2 e_1 \/ product1 e_1 e_2 e_2 \/ product1 e_1 e_2 e_3 \/
% 3.42/3.60     product2 e_1 e_2 e_1 \/ product2 e_1 e_2 e_2 \/ product2 e_1 e_2 e_3
% 3.42/3.60  |- ~product2 $W e_2 e_3 \/ $W == e_1 \/ product1 e_1 e_2 e_1 \/
% 3.42/3.60     product1 e_1 e_2 e_2 \/ product1 e_1 e_2 e_3 \/ product2 e_1 e_2 e_1 \/
% 3.42/3.60     product2 e_1 e_2 e_2
% 3.42/3.60  |- ~product2 $Z e_2 e_3 \/ e_1 == $Z \/ product1 e_1 e_2 e_1 \/
% 3.42/3.60     product1 e_1 e_2 e_2 \/ product1 e_1 e_2 e_3 \/ product2 e_1 e_2 e_1 \/
% 3.42/3.60     product2 e_1 e_2 e_2
% 3.42/3.60  |- ~product2 e_1 $W e_3 \/ $W == e_2 \/ product1 e_1 e_2 e_1 \/
% 3.42/3.60     product1 e_1 e_2 e_2 \/ product1 e_1 e_2 e_3 \/ product2 e_1 e_2 e_1 \/
% 3.42/3.60     product2 e_1 e_2 e_2
% 3.42/3.60  |- ~product2 e_1 $Z e_3 \/ e_2 == $Z \/ product1 e_1 e_2 e_1 \/
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% 3.42/3.60     product2 e_1 e_2 e_2
% 3.42/3.60  |- ~product2 e_1 e_2 $W \/ $W == e_3 \/ product1 e_1 e_2 e_1 \/
% 3.42/3.60     product1 e_1 e_2 e_2 \/ product1 e_1 e_2 e_3 \/ product2 e_1 e_2 e_1 \/
% 3.42/3.60     product2 e_1 e_2 e_2
% 3.42/3.60  |- ~product2 e_1 e_2 $Z \/ e_3 == $Z \/ product1 e_1 e_2 e_1 \/
% 3.42/3.60     product1 e_1 e_2 e_2 \/ product1 e_1 e_2 e_3 \/ product2 e_1 e_2 e_1 \/
% 3.42/3.60     product2 e_1 e_2 e_2
% 3.42/3.60  |- product1 e_2 e_1 e_1 \/ product1 e_2 e_1 e_2 \/ product1 e_2 e_1 e_3 \/
% 3.42/3.60     product1 e_4 e_3 e_1 \/ product2 e_2 e_1 e_1 \/ product2 e_2 e_1 e_2 \/
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% 3.42/3.60     product1 e_3 e_1 e_2 \/ product1 e_3 e_1 e_3 \/ product1 e_4 e_2 e_1 \/
% 3.42/3.60     product1 e_4 e_2 e_2
% 3.42/3.60  |- ~product2 $Z e_4 e_1 \/ e_3 == $Z \/ product1 e_3 e_1 e_1 \/
% 3.42/3.60     product1 e_3 e_1 e_2 \/ product1 e_3 e_1 e_3 \/ product1 e_4 e_2 e_1 \/
% 3.42/3.60     product1 e_4 e_2 e_2
% 3.42/3.60  |- ~product2 e_3 $W e_1 \/ $W == e_4 \/ product1 e_3 e_1 e_1 \/
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% 3.42/3.60     product1 e_4 e_2 e_2
% 3.42/3.60  |- ~product2 e_3 $Z e_1 \/ e_4 == $Z \/ product1 e_3 e_1 e_1 \/
% 3.42/3.60     product1 e_3 e_1 e_2 \/ product1 e_3 e_1 e_3 \/ product1 e_4 e_2 e_1 \/
% 3.42/3.60     product1 e_4 e_2 e_2
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% 3.42/3.60     product1 e_4 e_2 e_2
% 3.42/3.60  |- ~product2 e_3 e_4 $Z \/ e_1 == $Z \/ product1 e_3 e_1 e_1 \/
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% 3.42/3.60     product1 e_4 e_2 e_2
% 3.42/3.60  |- ~product2 $W e_4 e_1 \/ $W == e_2 \/ product1 e_2 e_4 e_1 \/
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% 3.42/3.60     product1 e_4 e_1 e_2
% 3.42/3.60  |- ~product2 $Z e_4 e_1 \/ e_2 == $Z \/ product1 e_2 e_4 e_1 \/
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% 3.42/3.60     product1 e_4 e_1 e_2
% 3.42/3.60  |- ~product2 e_2 $W e_1 \/ $W == e_4 \/ product1 e_2 e_4 e_1 \/
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% 3.42/3.60     product1 e_4 e_1 e_2
% 3.42/3.60  |- ~product2 e_2 $Z e_1 \/ e_4 == $Z \/ product1 e_2 e_4 e_1 \/
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% 3.42/3.60  |- ~product2 e_2 e_4 $W \/ $W == e_1 \/ product1 e_2 e_4 e_1 \/
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% 3.42/3.60     product1 e_4 e_1 e_2
% 3.42/3.60  |- ~product2 e_2 e_4 $Z \/ e_1 == $Z \/ product1 e_2 e_4 e_1 \/
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% 3.42/3.60     product1 e_4 e_1 e_2
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% 3.42/3.60     product2 e_2 e_1 e_1 \/ product2 e_2 e_1 e_2
% 3.42/3.60  |- ~product2 $Z e_1 e_3 \/ e_2 == $Z \/ product1 e_2 e_1 e_1 \/
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% 3.42/3.60     product2 e_2 e_1 e_1 \/ product2 e_2 e_1 e_2
% 3.42/3.60  |- ~product2 e_2 $Z e_3 \/ e_1 == $Z \/ product1 e_2 e_1 e_1 \/
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% 3.42/3.60     product2 e_2 e_1 e_1 \/ product2 e_2 e_1 e_2
% 3.42/3.60  |- ~product2 e_2 e_1 $W \/ $W == e_3 \/ product1 e_2 e_1 e_1 \/
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% 3.42/3.60     product2 e_2 e_1 e_1 \/ product2 e_2 e_1 e_2
% 3.42/3.60  |- ~product2 e_2 e_1 $Z \/ e_3 == $Z \/ product1 e_2 e_1 e_1 \/
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% 3.42/3.60     product2 e_2 e_1 e_1 \/ product2 e_2 e_1 e_2
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% 3.42/3.60     product2 e_4 e_1 e_1 \/ product2 e_4 e_1 e_2
% 3.42/3.60  |- product1 e_2 e_3 e_1 \/ product1 e_2 e_3 e_2 \/ product1 e_2 e_3 e_3 \/
% 3.42/3.60     product1 e_3 e_2 e_1
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% 3.42/3.60     product1 e_2 e_3 e_3 \/ product2 $Z2 e_3 e_2
% 3.42/3.60  |- ~product1 e_3 $W e_1 \/ $W == e_2 \/ product1 e_2 e_3 e_1 \/
% 3.42/3.60     product1 e_2 e_3 e_2 \/ product1 e_2 e_3 e_3
% 3.42/3.61  |- ~product1 e_3 $Z e_1 \/ e_2 == $Z \/ product1 e_2 e_3 e_1 \/
% 3.42/3.61     product1 e_2 e_3 e_2 \/ product1 e_2 e_3 e_3
% 3.42/3.61  |- ~product1 e_3 e_2 $W \/ $W == e_1 \/ product1 e_2 e_3 e_1 \/
% 3.42/3.61     product1 e_2 e_3 e_2 \/ product1 e_2 e_3 e_3
% 3.42/3.61  |- ~product1 e_3 e_2 $Z \/ e_1 == $Z \/ product1 e_2 e_3 e_1 \/
% 3.42/3.61     product1 e_2 e_3 e_2 \/ product1 e_2 e_3 e_3
% 3.42/3.61  |- ~product1 $W e_2 e_1 \/ $W == e_3 \/ product1 e_2 e_3 e_1 \/
% 3.42/3.61     product1 e_2 e_3 e_2 \/ product1 e_2 e_3 e_3
% 3.42/3.61  |- ~product1 $Z e_2 e_1 \/ e_3 == $Z \/ product1 e_2 e_3 e_1 \/
% 3.42/3.61     product1 e_2 e_3 e_2 \/ product1 e_2 e_3 e_3
% 3.42/3.61  |- product1 e_2 e_3 e_1 \/ product1 e_2 e_3 e_2 \/ product1 e_2 e_3 e_3 \/
% 3.42/3.61     product1 e_4 e_2 e_1 \/ product1 e_4 e_2 e_2 \/ product2 e_1 e_4 e_2
% 3.42/3.61  |- product1 e_2 e_3 e_1 \/ product1 e_2 e_3 e_2 \/ product1 e_2 e_3 e_3 \/
% 3.42/3.61     product1 e_2 e_4 e_1
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% 3.42/3.61     product1 e_2 e_3 e_3 \/ product2 e_1 $X e_4
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% 3.42/3.61  |- ~product1 e_2 $W e_1 \/ $W == e_4 \/ product1 e_2 e_3 e_1 \/
% 3.42/3.61     product1 e_2 e_3 e_2 \/ product1 e_2 e_3 e_3
% 3.42/3.61  |- ~product1 e_2 $Z e_1 \/ e_4 == $Z \/ product1 e_2 e_3 e_1 \/
% 3.42/3.61     product1 e_2 e_3 e_2 \/ product1 e_2 e_3 e_3
% 3.42/3.61  |- ~product1 e_2 e_4 $W \/ $W == e_1 \/ product1 e_2 e_3 e_1 \/
% 3.42/3.61     product1 e_2 e_3 e_2 \/ product1 e_2 e_3 e_3
% 3.42/3.61  |- ~product1 e_2 e_4 $Z \/ e_1 == $Z \/ product1 e_2 e_3 e_1 \/
% 3.42/3.61     product1 e_2 e_3 e_2 \/ product1 e_2 e_3 e_3
% 3.42/3.61  |- ~product1 $W e_4 e_1 \/ $W == e_2 \/ product1 e_2 e_3 e_1 \/
% 3.42/3.61     product1 e_2 e_3 e_2 \/ product1 e_2 e_3 e_3
% 3.42/3.61  |- ~product1 $Z e_4 e_1 \/ e_2 == $Z \/ product1 e_2 e_3 e_1 \/
% 3.42/3.61     product1 e_2 e_3 e_2 \/ product1 e_2 e_3 e_3
% 3.42/3.61  |- product1 e_2 e_3 e_1 \/ product1 e_2 e_3 e_2 \/ product1 e_2 e_3 e_3 \/
% 3.42/3.61     product1 e_3 e_4 e_1 \/ product2 e_1 e_3 e_4
% 3.42/3.61  |- ~product2 $W e_3 e_4 \/ $W == e_1 \/ product1 e_2 e_3 e_1 \/
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% 3.42/3.61  |- ~product2 $Z e_3 e_4 \/ e_1 == $Z \/ product1 e_2 e_3 e_1 \/
% 3.42/3.61     product1 e_2 e_3 e_2 \/ product1 e_2 e_3 e_3 \/ product1 e_3 e_4 e_1
% 3.42/3.61  |- ~product2 e_1 $W e_4 \/ $W == e_3 \/ product1 e_2 e_3 e_1 \/
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% 3.42/3.61  |- ~product2 e_1 $Z e_4 \/ e_3 == $Z \/ product1 e_2 e_3 e_1 \/
% 3.42/3.61     product1 e_2 e_3 e_2 \/ product1 e_2 e_3 e_3 \/ product1 e_3 e_4 e_1
% 3.42/3.61  |- ~product2 e_1 e_3 $W \/ $W == e_4 \/ product1 e_2 e_3 e_1 \/
% 3.42/3.61     product1 e_2 e_3 e_2 \/ product1 e_2 e_3 e_3 \/ product1 e_3 e_4 e_1
% 3.42/3.61  |- ~product2 e_1 e_3 $Z \/ e_4 == $Z \/ product1 e_2 e_3 e_1 \/
% 3.42/3.61     product1 e_2 e_3 e_2 \/ product1 e_2 e_3 e_3 \/ product1 e_3 e_4 e_1
% 3.42/3.61  |- ~product2 $W e_4 e_2 \/ $W == e_1 \/ product1 e_2 e_3 e_1 \/
% 3.42/3.61     product1 e_2 e_3 e_2 \/ product1 e_2 e_3 e_3 \/ product1 e_4 e_2 e_1 \/
% 3.42/3.61     product1 e_4 e_2 e_2
% 3.42/3.61  |- ~product2 $Z e_4 e_2 \/ e_1 == $Z \/ product1 e_2 e_3 e_1 \/
% 3.42/3.61     product1 e_2 e_3 e_2 \/ product1 e_2 e_3 e_3 \/ product1 e_4 e_2 e_1 \/
% 3.42/3.61     product1 e_4 e_2 e_2
% 3.42/3.61  |- ~product2 e_1 $W e_2 \/ $W == e_4 \/ product1 e_2 e_3 e_1 \/
% 3.42/3.61     product1 e_2 e_3 e_2 \/ product1 e_2 e_3 e_3 \/ product1 e_4 e_2 e_1 \/
% 3.42/3.61     product1 e_4 e_2 e_2
% 3.42/3.61  |- ~product2 e_1 $Z e_2 \/ e_4 == $Z \/ product1 e_2 e_3 e_1 \/
% 3.42/3.61     product1 e_2 e_3 e_2 \/ product1 e_2 e_3 e_3 \/ product1 e_4 e_2 e_1 \/
% 3.42/3.61     product1 e_4 e_2 e_2
% 3.42/3.61  |- ~product2 e_1 e_4 $W \/ $W == e_2 \/ product1 e_2 e_3 e_1 \/
% 3.42/3.61     product1 e_2 e_3 e_2 \/ product1 e_2 e_3 e_3 \/ product1 e_4 e_2 e_1 \/
% 3.42/3.61     product1 e_4 e_2 e_2
% 3.42/3.61  |- ~product2 e_1 e_4 $Z \/ e_2 == $Z \/ product1 e_2 e_3 e_1 \/
% 3.42/3.61     product1 e_2 e_3 e_2 \/ product1 e_2 e_3 e_3 \/ product1 e_4 e_2 e_1 \/
% 3.42/3.61     product1 e_4 e_2 e_2
% 3.42/3.61  |- product1 e_2 e_3 e_1 \/ product1 e_2 e_3 e_2 \/ product1 e_2 e_3 e_3 \/
% 3.42/3.61     product1 e_4 e_2 e_1 \/ product1 e_4 e_2 e_2 \/ product2 e_3 e_4 e_1
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% 3.42/3.61     product1 e_4 e_2 e_1 \/ product1 e_4 e_2 e_2 \/ product2 e_1 e_2 e_1 \/
% 3.42/3.61     product2 e_1 e_2 e_2 \/ product2 e_1 e_2 e_3
% 3.42/3.61  |- product1 e_2 e_4 e_1 \/ product1 e_2 e_4 e_2 \/ product2 e_2 e_1 e_1 \/
% 3.42/3.61     product2 e_2 e_1 e_2 \/ product2 e_2 e_4 e_1
% 3.42/3.61  |- ~product2 $W e_4 e_1 \/ $W == e_2 \/ product1 e_2 e_4 e_1 \/
% 3.42/3.61     product1 e_2 e_4 e_2 \/ product2 e_2 e_1 e_1 \/ product2 e_2 e_1 e_2
% 3.42/3.61  |- ~product2 $Z e_4 e_1 \/ e_2 == $Z \/ product1 e_2 e_4 e_1 \/
% 3.42/3.61     product1 e_2 e_4 e_2 \/ product2 e_2 e_1 e_1 \/ product2 e_2 e_1 e_2
% 3.42/3.61  |- ~product2 e_2 $W e_1 \/ $W == e_4 \/ product1 e_2 e_4 e_1 \/
% 3.42/3.61     product1 e_2 e_4 e_2 \/ product2 e_2 e_1 e_1 \/ product2 e_2 e_1 e_2
% 3.42/3.61  |- ~product2 e_2 $Z e_1 \/ e_4 == $Z \/ product1 e_2 e_4 e_1 \/
% 3.42/3.61     product1 e_2 e_4 e_2 \/ product2 e_2 e_1 e_1 \/ product2 e_2 e_1 e_2
% 3.42/3.61  |- ~product2 e_2 e_4 $W \/ $W == e_1 \/ product1 e_2 e_4 e_1 \/
% 3.42/3.61     product1 e_2 e_4 e_2 \/ product2 e_2 e_1 e_1 \/ product2 e_2 e_1 e_2
% 3.42/3.61  |- ~product2 e_2 e_4 $Z \/ e_1 == $Z \/ product1 e_2 e_4 e_1 \/
% 3.42/3.61     product1 e_2 e_4 e_2 \/ product2 e_2 e_1 e_1 \/ product2 e_2 e_1 e_2
% 3.42/3.61  |- ~product2 $W e_3 e_1 \/ $W == e_4 \/ product2 e_1 e_4 e_1 \/
% 3.42/3.61     product2 e_1 e_4 e_2 \/ product2 e_2 e_1 e_1 \/ product2 e_2 e_1 e_2 \/
% 3.42/3.61     product2 e_4 e_1 e_1
% 3.42/3.61  |- ~product2 $Z e_3 e_1 \/ e_4 == $Z \/ product2 e_1 e_4 e_1 \/
% 3.42/3.61     product2 e_1 e_4 e_2 \/ product2 e_2 e_1 e_1 \/ product2 e_2 e_1 e_2 \/
% 3.42/3.61     product2 e_4 e_1 e_1
% 3.42/3.61  |- ~product2 e_4 $W e_1 \/ $W == e_3 \/ product2 e_1 e_4 e_1 \/
% 3.42/3.61     product2 e_1 e_4 e_2 \/ product2 e_2 e_1 e_1 \/ product2 e_2 e_1 e_2 \/
% 3.42/3.61     product2 e_4 e_1 e_1
% 3.42/3.61  |- ~product2 e_4 $Z e_1 \/ e_3 == $Z \/ product2 e_1 e_4 e_1 \/
% 3.42/3.61     product2 e_1 e_4 e_2 \/ product2 e_2 e_1 e_1 \/ product2 e_2 e_1 e_2 \/
% 3.42/3.61     product2 e_4 e_1 e_1
% 3.42/3.61  |- ~product2 e_4 e_3 $W \/ $W == e_1 \/ product2 e_1 e_4 e_1 \/
% 3.42/3.61     product2 e_1 e_4 e_2 \/ product2 e_2 e_1 e_1 \/ product2 e_2 e_1 e_2 \/
% 3.42/3.61     product2 e_4 e_1 e_1
% 3.42/3.61  |- ~product2 e_4 e_3 $Z \/ e_1 == $Z \/ product2 e_1 e_4 e_1 \/
% 3.42/3.61     product2 e_1 e_4 e_2 \/ product2 e_2 e_1 e_1 \/ product2 e_2 e_1 e_2 \/
% 3.42/3.61     product2 e_4 e_1 e_1
% 3.42/3.61  |- product1 e_1 e_2 e_1 \/ product1 e_1 e_2 e_2 \/ product1 e_1 e_2 e_3 \/
% 3.42/3.61     product2 e_3 e_1 e_1 \/ product2 e_3 e_1 e_2
% 3.42/3.61  |- ~product2 $W e_1 e_2 \/ $W == e_3 \/ product1 e_1 e_2 e_1 \/
% 3.42/3.61     product1 e_1 e_2 e_2 \/ product1 e_1 e_2 e_3 \/ product2 e_3 e_1 e_1
% 3.42/3.61  |- ~product2 $Z e_1 e_2 \/ e_3 == $Z \/ product1 e_1 e_2 e_1 \/
% 3.42/3.61     product1 e_1 e_2 e_2 \/ product1 e_1 e_2 e_3 \/ product2 e_3 e_1 e_1
% 3.42/3.61  |- ~product2 e_3 $W e_2 \/ $W == e_1 \/ product1 e_1 e_2 e_1 \/
% 3.42/3.61     product1 e_1 e_2 e_2 \/ product1 e_1 e_2 e_3 \/ product2 e_3 e_1 e_1
% 3.42/3.61  |- ~product2 e_3 $Z e_2 \/ e_1 == $Z \/ product1 e_1 e_2 e_1 \/
% 3.42/3.61     product1 e_1 e_2 e_2 \/ product1 e_1 e_2 e_3 \/ product2 e_3 e_1 e_1
% 3.42/3.61  |- ~product2 e_3 e_1 $W \/ $W == e_2 \/ product1 e_1 e_2 e_1 \/
% 3.42/3.61     product1 e_1 e_2 e_2 \/ product1 e_1 e_2 e_3 \/ product2 e_3 e_1 e_1
% 3.42/3.61  |- ~product2 e_3 e_1 $Z \/ e_2 == $Z \/ product1 e_1 e_2 e_1 \/
% 3.42/3.61     product1 e_1 e_2 e_2 \/ product1 e_1 e_2 e_3 \/ product2 e_3 e_1 e_1
% 3.42/3.61  |- product1 e_1 e_2 e_1 \/ product1 e_1 e_2 e_2 \/ product1 e_1 e_2 e_3 \/
% 3.42/3.61     product2 e_3 e_1 e_1 \/ product2 e_3 e_4 e_1
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% 3.42/3.61  |- ~product2 e_1 $Z e_3 \/ e_2 == $Z \/ product1 e_2 e_3 e_1 \/
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% 3.42/3.61  |- ~product2 e_1 e_2 $W \/ $W == e_3 \/ product1 e_2 e_3 e_1 \/
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% 3.42/3.61  |- ~product2 e_1 e_2 $Z \/ e_3 == $Z \/ product1 e_2 e_3 e_1 \/
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% 3.42/3.61  |- product1 e_2 e_3 e_1 \/ product1 e_2 e_3 e_2 \/ product1 e_2 e_3 e_3 \/
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% 3.42/3.61  |- product1 e_2 e_3 e_1 \/ product1 e_2 e_3 e_2 \/ product1 e_2 e_3 e_3 \/
% 3.42/3.61     product2 e_4 e_2 e_1
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% 3.42/3.61     product1 e_2 e_3 e_2 \/ product1 e_2 e_3 e_3
% 3.42/3.61  |- ~product2 $Z e_2 e_1 \/ e_4 == $Z \/ product1 e_2 e_3 e_1 \/
% 3.42/3.61     product1 e_2 e_3 e_2 \/ product1 e_2 e_3 e_3
% 3.42/3.61  |- ~product2 e_4 $W e_1 \/ $W == e_2 \/ product1 e_2 e_3 e_1 \/
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% 3.42/3.61  |- ~product2 e_4 $Z e_1 \/ e_2 == $Z \/ product1 e_2 e_3 e_1 \/
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% 3.42/3.61  |- ~product2 e_4 e_2 $W \/ $W == e_1 \/ product1 e_2 e_3 e_1 \/
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% 3.42/3.61  |- ~product2 e_4 e_2 $Z \/ e_1 == $Z \/ product1 e_2 e_3 e_1 \/
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% 3.42/3.61  |- ~product2 $Z e_4 e_2 \/ e_1 == $Z \/ product1 e_2 e_3 e_1 \/
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% 3.42/3.61  |- ~product2 e_1 $Z e_2 \/ e_4 == $Z \/ product1 e_2 e_3 e_1 \/
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% 3.42/3.61  |- ~product2 e_1 e_4 $Z \/ e_2 == $Z \/ product1 e_2 e_3 e_1 \/
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% 3.42/3.61  |- ~product2 e_3 $Z e_1 \/ e_4 == $Z \/ product1 e_2 e_3 e_1 \/
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% 3.42/3.61  |- ~product2 e_3 e_4 $W \/ $W == e_1 \/ product1 e_2 e_3 e_1 \/
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% 3.42/3.61  |- ~product2 e_3 e_4 $Z \/ e_1 == $Z \/ product1 e_2 e_3 e_1 \/
% 3.42/3.61     product1 e_2 e_3 e_2 \/ product1 e_2 e_3 e_3 \/ product2 e_1 e_4 e_1
% 3.42/3.61  |- product1 e_2 e_3 e_1 \/ product1 e_2 e_3 e_2 \/ product1 e_2 e_3 e_3 \/
% 3.42/3.61     product2 e_3 e_1 e_1 \/ product2 e_3 e_1 e_2
% 3.42/3.61  |- ~product2 $W e_1 e_2 \/ $W == e_3 \/ product1 e_2 e_3 e_1 \/
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% 3.42/3.61  |- ~product2 $Z e_1 e_2 \/ e_3 == $Z \/ product1 e_2 e_3 e_1 \/
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% 3.42/3.61  |- ~product2 e_3 $W e_2 \/ $W == e_1 \/ product1 e_2 e_3 e_1 \/
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% 3.42/3.61  |- ~product2 e_3 $Z e_2 \/ e_1 == $Z \/ product1 e_2 e_3 e_1 \/
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% 3.42/3.61  |- ~product2 e_3 e_1 $W \/ $W == e_2 \/ product1 e_2 e_3 e_1 \/
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% 3.42/3.61  |- ~product2 e_3 e_1 $Z \/ e_2 == $Z \/ product1 e_2 e_3 e_1 \/
% 3.42/3.61     product1 e_2 e_3 e_2 \/ product1 e_2 e_3 e_3 \/ product2 e_3 e_1 e_1
% 3.42/3.61  |- product1 e_2 e_3 e_1 \/ product1 e_2 e_3 e_2 \/ product1 e_2 e_3 e_3 \/
% 3.42/3.61     product2 e_3 e_1 e_1 \/ product2 e_3 e_4 e_1
% 3.42/3.61  |- ~product2 $W e_4 e_1 \/ $W == e_3 \/ product1 e_2 e_3 e_1 \/
% 3.42/3.61     product1 e_2 e_3 e_2 \/ product1 e_2 e_3 e_3 \/ product2 e_3 e_1 e_1
% 3.42/3.61  |- ~product2 $Z e_4 e_1 \/ e_3 == $Z \/ product1 e_2 e_3 e_1 \/
% 3.42/3.61     product1 e_2 e_3 e_2 \/ product1 e_2 e_3 e_3 \/ product2 e_3 e_1 e_1
% 3.42/3.61  |- ~product2 e_3 $W e_1 \/ $W == e_4 \/ product1 e_2 e_3 e_1 \/
% 3.42/3.61     product1 e_2 e_3 e_2 \/ product1 e_2 e_3 e_3 \/ product2 e_3 e_1 e_1
% 3.42/3.61  |- ~product2 e_3 $Z e_1 \/ e_4 == $Z \/ product1 e_2 e_3 e_1 \/
% 3.42/3.61     product1 e_2 e_3 e_2 \/ product1 e_2 e_3 e_3 \/ product2 e_3 e_1 e_1
% 3.42/3.61  |- ~product2 e_3 e_4 $W \/ $W == e_1 \/ product1 e_2 e_3 e_1 \/
% 3.42/3.61     product1 e_2 e_3 e_2 \/ product1 e_2 e_3 e_3 \/ product2 e_3 e_1 e_1
% 3.42/3.61  |- ~product2 e_3 e_4 $Z \/ e_1 == $Z \/ product1 e_2 e_3 e_1 \/
% 3.42/3.61     product1 e_2 e_3 e_2 \/ product1 e_2 e_3 e_3 \/ product2 e_3 e_1 e_1
% 3.42/3.61  |- product1 e_2 e_1 e_1 \/ product1 e_2 e_1 e_2 \/ product1 e_2 e_1 e_3 \/
% 3.42/3.61     product1 e_3 e_1 e_1 \/ product2 e_1 e_3 e_1 \/ product2 e_1 e_3 e_2
% 3.42/3.61  |- ~product2 $W e_3 e_2 \/ $W == e_1 \/ product1 e_2 e_1 e_1 \/
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% 3.42/3.61     product2 e_1 e_3 e_1
% 3.42/3.61  |- ~product2 $Z e_3 e_2 \/ e_1 == $Z \/ product1 e_2 e_1 e_1 \/
% 3.42/3.61     product1 e_2 e_1 e_2 \/ product1 e_2 e_1 e_3 \/ product1 e_3 e_1 e_1 \/
% 3.42/3.61     product2 e_1 e_3 e_1
% 3.42/3.61  |- ~product2 e_1 $W e_2 \/ $W == e_3 \/ product1 e_2 e_1 e_1 \/
% 3.42/3.61     product1 e_2 e_1 e_2 \/ product1 e_2 e_1 e_3 \/ product1 e_3 e_1 e_1 \/
% 3.42/3.61     product2 e_1 e_3 e_1
% 3.42/3.62  |- ~product2 e_1 $Z e_2 \/ e_3 == $Z \/ product1 e_2 e_1 e_1 \/
% 3.42/3.62     product1 e_2 e_1 e_2 \/ product1 e_2 e_1 e_3 \/ product1 e_3 e_1 e_1 \/
% 3.42/3.62     product2 e_1 e_3 e_1
% 3.42/3.62  |- ~product2 e_1 e_3 $W \/ $W == e_2 \/ product1 e_2 e_1 e_1 \/
% 3.42/3.62     product1 e_2 e_1 e_2 \/ product1 e_2 e_1 e_3 \/ product1 e_3 e_1 e_1 \/
% 3.42/3.62     product2 e_1 e_3 e_1
% 3.42/3.62  |- ~product2 e_1 e_3 $Z \/ e_2 == $Z \/ product1 e_2 e_1 e_1 \/
% 3.42/3.62     product1 e_2 e_1 e_2 \/ product1 e_2 e_1 e_3 \/ product1 e_3 e_1 e_1 \/
% 3.42/3.62     product2 e_1 e_3 e_1
% 3.42/3.62  |- ~product2 $W e_1 e_3 \/ $W == e_2 \/ product1 e_2 e_1 e_1 \/
% 3.42/3.62     product1 e_2 e_1 e_2 \/ product1 e_2 e_1 e_3 \/ product1 e_3 e_1 e_1 \/
% 3.42/3.62     product2 e_2 e_1 e_1 \/ product2 e_2 e_1 e_2
% 3.42/3.62  |- ~product2 $Z e_1 e_3 \/ e_2 == $Z \/ product1 e_2 e_1 e_1 \/
% 3.42/3.62     product1 e_2 e_1 e_2 \/ product1 e_2 e_1 e_3 \/ product1 e_3 e_1 e_1 \/
% 3.42/3.62     product2 e_2 e_1 e_1 \/ product2 e_2 e_1 e_2
% 3.42/3.62  |- ~product2 e_2 $W e_3 \/ $W == e_1 \/ product1 e_2 e_1 e_1 \/
% 3.42/3.62     product1 e_2 e_1 e_2 \/ product1 e_2 e_1 e_3 \/ product1 e_3 e_1 e_1 \/
% 3.42/3.62     product2 e_2 e_1 e_1 \/ product2 e_2 e_1 e_2
% 3.42/3.62  |- ~product2 e_2 $Z e_3 \/ e_1 == $Z \/ product1 e_2 e_1 e_1 \/
% 3.42/3.62     product1 e_2 e_1 e_2 \/ product1 e_2 e_1 e_3 \/ product1 e_3 e_1 e_1 \/
% 3.42/3.62     product2 e_2 e_1 e_1 \/ product2 e_2 e_1 e_2
% 3.42/3.62  |- ~product2 e_2 e_1 $W \/ $W == e_3 \/ product1 e_2 e_1 e_1 \/
% 3.42/3.62     product1 e_2 e_1 e_2 \/ product1 e_2 e_1 e_3 \/ product1 e_3 e_1 e_1 \/
% 3.42/3.62     product2 e_2 e_1 e_1 \/ product2 e_2 e_1 e_2
% 3.42/3.62  |- ~product2 e_2 e_1 $Z \/ e_3 == $Z \/ product1 e_2 e_1 e_1 \/
% 3.42/3.62     product1 e_2 e_1 e_2 \/ product1 e_2 e_1 e_3 \/ product1 e_3 e_1 e_1 \/
% 3.42/3.62     product2 e_2 e_1 e_1 \/ product2 e_2 e_1 e_2
% 3.42/3.62  |- ~product2 $W e_1 e_3 \/ $W == e_4 \/ product1 e_1 e_2 e_1 \/
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% 3.42/3.62     product1 e_2 e_3 e_1 \/ product1 e_2 e_3 e_2 \/ product1 e_2 e_3 e_3
% 3.42/3.62  |- ~product2 $Z e_1 e_3 \/ e_4 == $Z \/ product1 e_1 e_2 e_1 \/
% 3.42/3.62     product1 e_1 e_2 e_2 \/ product1 e_1 e_2 e_3 \/ product1 e_1 e_3 e_1 \/
% 3.42/3.62     product1 e_2 e_3 e_1 \/ product1 e_2 e_3 e_2 \/ product1 e_2 e_3 e_3
% 3.42/3.62  |- ~product2 e_4 $W e_3 \/ $W == e_1 \/ product1 e_1 e_2 e_1 \/
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% 3.42/3.62     product1 e_2 e_3 e_1 \/ product1 e_2 e_3 e_2 \/ product1 e_2 e_3 e_3
% 3.42/3.62  |- ~product2 e_4 $Z e_3 \/ e_1 == $Z \/ product1 e_1 e_2 e_1 \/
% 3.42/3.62     product1 e_1 e_2 e_2 \/ product1 e_1 e_2 e_3 \/ product1 e_1 e_3 e_1 \/
% 3.42/3.62     product1 e_2 e_3 e_1 \/ product1 e_2 e_3 e_2 \/ product1 e_2 e_3 e_3
% 3.42/3.62  |- ~product2 e_4 e_1 $W \/ $W == e_3 \/ product1 e_1 e_2 e_1 \/
% 3.42/3.62     product1 e_1 e_2 e_2 \/ product1 e_1 e_2 e_3 \/ product1 e_1 e_3 e_1 \/
% 3.42/3.62     product1 e_2 e_3 e_1 \/ product1 e_2 e_3 e_2 \/ product1 e_2 e_3 e_3
% 3.42/3.62  |- ~product2 e_4 e_1 $Z \/ e_3 == $Z \/ product1 e_1 e_2 e_1 \/
% 3.42/3.62     product1 e_1 e_2 e_2 \/ product1 e_1 e_2 e_3 \/ product1 e_1 e_3 e_1 \/
% 3.42/3.62     product1 e_2 e_3 e_1 \/ product1 e_2 e_3 e_2 \/ product1 e_2 e_3 e_3
% 3.42/3.62  |- product2 e_1 e_2 e_1 \/ product2 e_1 e_2 e_2 \/ product2 e_1 e_2 e_3 \/
% 3.42/3.62     product2 e_2 e_1 e_1 \/ product2 e_2 e_1 e_2 \/ product2 e_2 e_1 e_3
% 3.42/3.62  |- ~product2 $W e_1 e_3 \/ $W == e_2 \/ product2 e_1 e_2 e_1 \/
% 3.42/3.62     product2 e_1 e_2 e_2 \/ product2 e_1 e_2 e_3 \/ product2 e_2 e_1 e_1 \/
% 3.42/3.62     product2 e_2 e_1 e_2
% 3.42/3.62  |- ~product2 $Z e_1 e_3 \/ e_2 == $Z \/ product2 e_1 e_2 e_1 \/
% 3.42/3.62     product2 e_1 e_2 e_2 \/ product2 e_1 e_2 e_3 \/ product2 e_2 e_1 e_1 \/
% 3.42/3.62     product2 e_2 e_1 e_2
% 3.42/3.62  |- ~product2 e_2 $W e_3 \/ $W == e_1 \/ product2 e_1 e_2 e_1 \/
% 3.42/3.62     product2 e_1 e_2 e_2 \/ product2 e_1 e_2 e_3 \/ product2 e_2 e_1 e_1 \/
% 3.42/3.62     product2 e_2 e_1 e_2
% 3.42/3.62  |- ~product2 e_2 $Z e_3 \/ e_1 == $Z \/ product2 e_1 e_2 e_1 \/
% 3.42/3.62     product2 e_1 e_2 e_2 \/ product2 e_1 e_2 e_3 \/ product2 e_2 e_1 e_1 \/
% 3.42/3.62     product2 e_2 e_1 e_2
% 3.42/3.62  |- ~product2 e_2 e_1 $W \/ $W == e_3 \/ product2 e_1 e_2 e_1 \/
% 3.42/3.62     product2 e_1 e_2 e_2 \/ product2 e_1 e_2 e_3 \/ product2 e_2 e_1 e_1 \/
% 3.42/3.62     product2 e_2 e_1 e_2
% 3.42/3.62  |- ~product2 e_2 e_1 $Z \/ e_3 == $Z \/ product2 e_1 e_2 e_1 \/
% 3.42/3.62     product2 e_1 e_2 e_2 \/ product2 e_1 e_2 e_3 \/ product2 e_2 e_1 e_1 \/
% 3.42/3.62     product2 e_2 e_1 e_2
% 3.42/3.62  |- ~product2 $W e_4 e_1 \/ $W == e_3 \/ product1 e_2 e_3 e_1 \/
% 3.42/3.62     product1 e_2 e_3 e_2 \/ product1 e_2 e_3 e_3 \/ product1 e_4 e_2 e_1 \/
% 3.42/3.62     product1 e_4 e_2 e_2
% 3.42/3.62  |- ~product2 $Z e_4 e_1 \/ e_3 == $Z \/ product1 e_2 e_3 e_1 \/
% 3.42/3.62     product1 e_2 e_3 e_2 \/ product1 e_2 e_3 e_3 \/ product1 e_4 e_2 e_1 \/
% 3.42/3.62     product1 e_4 e_2 e_2
% 3.42/3.62  |- ~product2 e_3 $W e_1 \/ $W == e_4 \/ product1 e_2 e_3 e_1 \/
% 3.42/3.62     product1 e_2 e_3 e_2 \/ product1 e_2 e_3 e_3 \/ product1 e_4 e_2 e_1 \/
% 3.42/3.62     product1 e_4 e_2 e_2
% 3.42/3.62  |- ~product2 e_3 $Z e_1 \/ e_4 == $Z \/ product1 e_2 e_3 e_1 \/
% 3.42/3.62     product1 e_2 e_3 e_2 \/ product1 e_2 e_3 e_3 \/ product1 e_4 e_2 e_1 \/
% 3.42/3.62     product1 e_4 e_2 e_2
% 3.42/3.62  |- ~product2 e_3 e_4 $W \/ $W == e_1 \/ product1 e_2 e_3 e_1 \/
% 3.42/3.62     product1 e_2 e_3 e_2 \/ product1 e_2 e_3 e_3 \/ product1 e_4 e_2 e_1 \/
% 3.42/3.62     product1 e_4 e_2 e_2
% 3.42/3.62  |- ~product2 e_3 e_4 $Z \/ e_1 == $Z \/ product1 e_2 e_3 e_1 \/
% 3.42/3.62     product1 e_2 e_3 e_2 \/ product1 e_2 e_3 e_3 \/ product1 e_4 e_2 e_1 \/
% 3.42/3.62     product1 e_4 e_2 e_2
% 3.42/3.62  |- ~product2 $W e_1 e_2 \/ $W == e_4 \/ product1 e_2 e_1 e_1 \/
% 3.42/3.62     product1 e_2 e_1 e_2 \/ product1 e_2 e_1 e_3 \/ product1 e_4 e_1 e_1 \/
% 3.42/3.62     product1 e_4 e_1 e_2 \/ product2 e_4 e_1 e_1
% 3.42/3.62  |- ~product2 $Z e_1 e_2 \/ e_4 == $Z \/ product1 e_2 e_1 e_1 \/
% 3.42/3.62     product1 e_2 e_1 e_2 \/ product1 e_2 e_1 e_3 \/ product1 e_4 e_1 e_1 \/
% 3.42/3.62     product1 e_4 e_1 e_2 \/ product2 e_4 e_1 e_1
% 3.42/3.62  |- ~product2 e_4 $W e_2 \/ $W == e_1 \/ product1 e_2 e_1 e_1 \/
% 3.42/3.62     product1 e_2 e_1 e_2 \/ product1 e_2 e_1 e_3 \/ product1 e_4 e_1 e_1 \/
% 3.42/3.62     product1 e_4 e_1 e_2 \/ product2 e_4 e_1 e_1
% 3.42/3.62  |- ~product2 e_4 $Z e_2 \/ e_1 == $Z \/ product1 e_2 e_1 e_1 \/
% 3.42/3.62     product1 e_2 e_1 e_2 \/ product1 e_2 e_1 e_3 \/ product1 e_4 e_1 e_1 \/
% 3.42/3.62     product1 e_4 e_1 e_2 \/ product2 e_4 e_1 e_1
% 3.42/3.62  |- ~product2 e_4 e_1 $W \/ $W == e_2 \/ product1 e_2 e_1 e_1 \/
% 3.42/3.62     product1 e_2 e_1 e_2 \/ product1 e_2 e_1 e_3 \/ product1 e_4 e_1 e_1 \/
% 3.42/3.62     product1 e_4 e_1 e_2 \/ product2 e_4 e_1 e_1
% 3.42/3.62  |- ~product2 e_4 e_1 $Z \/ e_2 == $Z \/ product1 e_2 e_1 e_1 \/
% 3.42/3.62     product1 e_2 e_1 e_2 \/ product1 e_2 e_1 e_3 \/ product1 e_4 e_1 e_1 \/
% 3.42/3.62     product1 e_4 e_1 e_2 \/ product2 e_4 e_1 e_1
% 3.42/3.62  |- product1 e_2 e_1 e_1 \/ product1 e_2 e_1 e_2 \/ product1 e_2 e_1 e_3 \/
% 3.42/3.62     product1 e_4 e_1 e_1 \/ product1 e_4 e_1 e_2 \/ product2 e_4 e_1 e_1 \/
% 3.42/3.62     product2 e_4 e_3 e_1
% 3.42/3.62  |- product1 e_1 e_2 e_1 \/ product1 e_1 e_2 e_2 \/ product1 e_1 e_2 e_3 \/
% 3.42/3.62     product2 e_1 e_2 e_1 \/ product2 e_1 e_2 e_2 \/ product2 e_4 e_2 e_1
% 3.42/3.62  |- ~product2 $W e_2 e_1 \/ $W == e_4 \/ product1 e_1 e_2 e_1 \/
% 3.42/3.62     product1 e_1 e_2 e_2 \/ product1 e_1 e_2 e_3 \/ product2 e_1 e_2 e_1 \/
% 3.42/3.62     product2 e_1 e_2 e_2
% 3.42/3.62  |- ~product2 $Z e_2 e_1 \/ e_4 == $Z \/ product1 e_1 e_2 e_1 \/
% 3.42/3.62     product1 e_1 e_2 e_2 \/ product1 e_1 e_2 e_3 \/ product2 e_1 e_2 e_1 \/
% 3.42/3.62     product2 e_1 e_2 e_2
% 3.42/3.62  |- ~product2 e_4 $W e_1 \/ $W == e_2 \/ product1 e_1 e_2 e_1 \/
% 3.42/3.62     product1 e_1 e_2 e_2 \/ product1 e_1 e_2 e_3 \/ product2 e_1 e_2 e_1 \/
% 3.42/3.62     product2 e_1 e_2 e_2
% 3.42/3.62  |- ~product2 e_4 $Z e_1 \/ e_2 == $Z \/ product1 e_1 e_2 e_1 \/
% 3.42/3.62     product1 e_1 e_2 e_2 \/ product1 e_1 e_2 e_3 \/ product2 e_1 e_2 e_1 \/
% 3.42/3.62     product2 e_1 e_2 e_2
% 3.42/3.62  |- ~product2 e_4 e_2 $W \/ $W == e_1 \/ product1 e_1 e_2 e_1 \/
% 3.42/3.62     product1 e_1 e_2 e_2 \/ product1 e_1 e_2 e_3 \/ product2 e_1 e_2 e_1 \/
% 3.42/3.62     product2 e_1 e_2 e_2
% 3.42/3.62  |- ~product2 e_4 e_2 $Z \/ e_1 == $Z \/ product1 e_1 e_2 e_1 \/
% 3.42/3.62     product1 e_1 e_2 e_2 \/ product1 e_1 e_2 e_3 \/ product2 e_1 e_2 e_1 \/
% 3.42/3.62     product2 e_1 e_2 e_2
% 3.42/3.62  |- product1 e_1 e_3 e_1 \/ product1 e_1 e_3 e_2 \/ product1 e_1 e_3 e_3 \/
% 3.42/3.62     product2 e_2 e_1 e_1 \/ product2 e_2 e_1 e_2 \/ product2 e_2 e_1 e_3
% 3.42/3.62  |- ~product2 $W e_1 e_3 \/ $W == e_2 \/ product1 e_1 e_3 e_1 \/
% 3.42/3.62     product1 e_1 e_3 e_2 \/ product1 e_1 e_3 e_3 \/ product2 e_2 e_1 e_1 \/
% 3.42/3.62     product2 e_2 e_1 e_2
% 3.42/3.62  |- ~product2 $Z e_1 e_3 \/ e_2 == $Z \/ product1 e_1 e_3 e_1 \/
% 3.42/3.62     product1 e_1 e_3 e_2 \/ product1 e_1 e_3 e_3 \/ product2 e_2 e_1 e_1 \/
% 3.42/3.62     product2 e_2 e_1 e_2
% 3.42/3.62  |- ~product2 e_2 $W e_3 \/ $W == e_1 \/ product1 e_1 e_3 e_1 \/
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% 3.42/3.62     product2 e_2 e_1 e_2
% 3.42/3.62  |- ~product2 e_2 $Z e_3 \/ e_1 == $Z \/ product1 e_1 e_3 e_1 \/
% 3.42/3.62     product1 e_1 e_3 e_2 \/ product1 e_1 e_3 e_3 \/ product2 e_2 e_1 e_1 \/
% 3.42/3.62     product2 e_2 e_1 e_2
% 3.42/3.62  |- ~product2 e_2 e_1 $W \/ $W == e_3 \/ product1 e_1 e_3 e_1 \/
% 3.42/3.62     product1 e_1 e_3 e_2 \/ product1 e_1 e_3 e_3 \/ product2 e_2 e_1 e_1 \/
% 3.42/3.62     product2 e_2 e_1 e_2
% 3.42/3.62  |- ~product2 e_2 e_1 $Z \/ e_3 == $Z \/ product1 e_1 e_3 e_1 \/
% 3.42/3.62     product1 e_1 e_3 e_2 \/ product1 e_1 e_3 e_3 \/ product2 e_2 e_1 e_1 \/
% 3.42/3.62     product2 e_2 e_1 e_2
% 3.42/3.62  |- product1 e_3 e_2 e_1 \/ product1 e_3 e_2 e_2 \/ product1 e_3 e_2 e_3 \/
% 3.42/3.62     product2 e_1 e_3 e_2
% 3.42/3.62  |- ~product2 $W e_3 e_2 \/ $W == e_1 \/ product1 e_3 e_2 e_1 \/
% 3.42/3.62     product1 e_3 e_2 e_2 \/ product1 e_3 e_2 e_3
% 3.42/3.62  |- ~product2 $Z e_3 e_2 \/ e_1 == $Z \/ product1 e_3 e_2 e_1 \/
% 3.42/3.62     product1 e_3 e_2 e_2 \/ product1 e_3 e_2 e_3
% 3.42/3.62  |- ~product2 e_1 $W e_2 \/ $W == e_3 \/ product1 e_3 e_2 e_1 \/
% 3.42/3.62     product1 e_3 e_2 e_2 \/ product1 e_3 e_2 e_3
% 3.42/3.62  |- ~product2 e_1 $Z e_2 \/ e_3 == $Z \/ product1 e_3 e_2 e_1 \/
% 3.42/3.62     product1 e_3 e_2 e_2 \/ product1 e_3 e_2 e_3
% 3.42/3.62  |- ~product2 e_1 e_3 $W \/ $W == e_2 \/ product1 e_3 e_2 e_1 \/
% 3.42/3.62     product1 e_3 e_2 e_2 \/ product1 e_3 e_2 e_3
% 3.42/3.62  |- ~product2 e_1 e_3 $Z \/ e_2 == $Z \/ product1 e_3 e_2 e_1 \/
% 3.42/3.62     product1 e_3 e_2 e_2 \/ product1 e_3 e_2 e_3
% 3.42/3.62  |- product1 e_3 e_2 e_1 \/ product1 e_3 e_2 e_2 \/ product1 e_3 e_2 e_3 \/
% 3.42/3.62     product2 e_4 e_3 e_1
% 3.42/3.62  |- ~product2 $W e_3 e_1 \/ $W == e_4 \/ product1 e_3 e_2 e_1 \/
% 3.42/3.62     product1 e_3 e_2 e_2 \/ product1 e_3 e_2 e_3
% 3.42/3.62  |- ~product2 $Z e_3 e_1 \/ e_4 == $Z \/ product1 e_3 e_2 e_1 \/
% 3.42/3.62     product1 e_3 e_2 e_2 \/ product1 e_3 e_2 e_3
% 3.42/3.62  |- ~product2 e_4 $W e_1 \/ $W == e_3 \/ product1 e_3 e_2 e_1 \/
% 3.42/3.62     product1 e_3 e_2 e_2 \/ product1 e_3 e_2 e_3
% 3.42/3.62  |- ~product2 e_4 $Z e_1 \/ e_3 == $Z \/ product1 e_3 e_2 e_1 \/
% 3.42/3.62     product1 e_3 e_2 e_2 \/ product1 e_3 e_2 e_3
% 3.42/3.62  |- ~product2 e_4 e_3 $W \/ $W == e_1 \/ product1 e_3 e_2 e_1 \/
% 3.42/3.62     product1 e_3 e_2 e_2 \/ product1 e_3 e_2 e_3
% 3.42/3.62  |- ~product2 e_4 e_3 $Z \/ e_1 == $Z \/ product1 e_3 e_2 e_1 \/
% 3.42/3.62     product1 e_3 e_2 e_2 \/ product1 e_3 e_2 e_3
% 3.42/3.62  |- product1 e_3 e_2 e_1 \/ product1 e_3 e_2 e_2 \/ product1 e_3 e_2 e_3 \/
% 3.42/3.62     product2 e_2 e_1 e_1 \/ product2 e_2 e_1 e_2 \/ product2 e_2 e_1 e_3
% 3.42/3.62  |- product1 e_3 e_2 e_1 \/ product1 e_3 e_2 e_2 \/ product1 e_3 e_2 e_3 \/
% 3.42/3.62     product2 e_4 e_1 e_1 \/ product2 e_4 e_1 e_2
% 3.42/3.62  |- ~product2 $W e_1 e_2 \/ $W == e_4 \/ product1 e_3 e_2 e_1 \/
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% 3.42/3.62  |- ~product2 $Z e_1 e_2 \/ e_4 == $Z \/ product1 e_3 e_2 e_1 \/
% 3.42/3.62     product1 e_3 e_2 e_2 \/ product1 e_3 e_2 e_3 \/ product2 e_4 e_1 e_1
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% 3.42/3.62  |- ~product2 e_4 $Z e_2 \/ e_1 == $Z \/ product1 e_3 e_2 e_1 \/
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% 3.42/3.62     product1 e_1 e_4 e_2
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% 3.42/3.62  |- ~product1 e_4 e_1 $W \/ $W == e_2 \/ product1 e_1 e_4 e_1 \/
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% 3.42/3.62  |- ~product1 e_4 e_1 $Z \/ e_2 == $Z \/ product1 e_1 e_4 e_1 \/
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% 3.42/3.62  |- ~product1 $W e_1 e_2 \/ $W == e_4 \/ product1 e_1 e_4 e_1 \/
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% 3.42/3.62  |- ~product1 $Z e_1 e_2 \/ e_4 == $Z \/ product1 e_1 e_4 e_1 \/
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% 3.42/3.62  |- ~product1 e_4 e_3 $W \/ $W == e_1 \/ product1 e_1 e_4 e_1 \/
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% 3.42/3.62  |- ~product1 e_4 e_3 $Z \/ e_1 == $Z \/ product1 e_1 e_4 e_1 \/
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% 3.42/3.62  |- ~product1 $W e_3 e_1 \/ $W == e_4 \/ product1 e_1 e_4 e_1 \/
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% 3.42/3.62  |- ~product1 $Z e_3 e_1 \/ e_4 == $Z \/ product1 e_1 e_4 e_1 \/
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% 3.42/3.62  |- ~product2 $W e_4 e_2 \/ $W == e_1 \/ product1 e_1 e_4 e_1 \/
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% 3.42/3.62  |- ~product2 e_1 e_4 $Z \/ e_2 == $Z \/ product1 e_1 e_4 e_1 \/
% 3.42/3.62     product1 e_1 e_4 e_2 \/ product1 e_4 e_2 e_1 \/ product1 e_4 e_2 e_2
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% 3.42/3.62     product1 e_4 e_2 e_2 \/ product2 e_3 e_4 e_1
% 3.42/3.62  |- ~product2 $W e_4 e_1 \/ $W == e_3 \/ product1 e_1 e_4 e_1 \/
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% 3.42/3.62  |- ~product2 $Z e_4 e_1 \/ e_3 == $Z \/ product1 e_1 e_4 e_1 \/
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% 3.42/3.62  |- ~product2 e_3 $W e_1 \/ $W == e_4 \/ product1 e_1 e_4 e_1 \/
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% 3.42/3.62  |- ~product2 e_3 $Z e_1 \/ e_4 == $Z \/ product1 e_1 e_4 e_1 \/
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% 3.42/3.62  |- ~product2 e_3 e_4 $W \/ $W == e_1 \/ product1 e_1 e_4 e_1 \/
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% 3.42/3.62  |- ~product2 e_3 e_4 $Z \/ e_1 == $Z \/ product1 e_1 e_4 e_1 \/
% 3.42/3.62     product1 e_1 e_4 e_2 \/ product1 e_4 e_2 e_1 \/ product1 e_4 e_2 e_2
% 3.42/3.62  |- ~product2 $W e_1 e_3 \/ $W == e_2 \/ product1 e_3 e_2 e_1 \/
% 3.42/3.62     product1 e_3 e_2 e_2 \/ product1 e_3 e_2 e_3 \/ product2 e_2 e_1 e_1 \/
% 3.42/3.62     product2 e_2 e_1 e_2
% 3.42/3.62  |- ~product2 $Z e_1 e_3 \/ e_2 == $Z \/ product1 e_3 e_2 e_1 \/
% 3.42/3.62     product1 e_3 e_2 e_2 \/ product1 e_3 e_2 e_3 \/ product2 e_2 e_1 e_1 \/
% 3.42/3.62     product2 e_2 e_1 e_2
% 3.42/3.62  |- ~product2 e_2 $W e_3 \/ $W == e_1 \/ product1 e_3 e_2 e_1 \/
% 3.42/3.62     product1 e_3 e_2 e_2 \/ product1 e_3 e_2 e_3 \/ product2 e_2 e_1 e_1 \/
% 3.42/3.62     product2 e_2 e_1 e_2
% 3.42/3.62  |- ~product2 e_2 $Z e_3 \/ e_1 == $Z \/ product1 e_3 e_2 e_1 \/
% 3.42/3.62     product1 e_3 e_2 e_2 \/ product1 e_3 e_2 e_3 \/ product2 e_2 e_1 e_1 \/
% 3.42/3.62     product2 e_2 e_1 e_2
% 3.42/3.62  |- ~product2 e_2 e_1 $W \/ $W == e_3 \/ product1 e_3 e_2 e_1 \/
% 3.42/3.62     product1 e_3 e_2 e_2 \/ product1 e_3 e_2 e_3 \/ product2 e_2 e_1 e_1 \/
% 3.42/3.62     product2 e_2 e_1 e_2
% 3.42/3.62  |- ~product2 e_2 e_1 $Z \/ e_3 == $Z \/ product1 e_3 e_2 e_1 \/
% 3.42/3.62     product1 e_3 e_2 e_2 \/ product1 e_3 e_2 e_3 \/ product2 e_2 e_1 e_1 \/
% 3.42/3.62     product2 e_2 e_1 e_2
% 3.42/3.62  |- product2 e_1 e_3 e_1 \/ product2 e_1 e_3 e_2 \/ product2 e_1 e_3 e_3 \/
% 3.42/3.62     product2 e_3 e_1 e_1 \/ product2 e_3 e_1 e_2
% 3.42/3.62  |- ~product2 $W e_1 e_2 \/ $W == e_3 \/ product2 e_1 e_3 e_1 \/
% 3.42/3.62     product2 e_1 e_3 e_2 \/ product2 e_1 e_3 e_3 \/ product2 e_3 e_1 e_1
% 3.42/3.62  |- ~product2 $Z e_1 e_2 \/ e_3 == $Z \/ product2 e_1 e_3 e_1 \/
% 3.42/3.62     product2 e_1 e_3 e_2 \/ product2 e_1 e_3 e_3 \/ product2 e_3 e_1 e_1
% 3.42/3.62  |- ~product2 e_3 $W e_2 \/ $W == e_1 \/ product2 e_1 e_3 e_1 \/
% 3.42/3.62     product2 e_1 e_3 e_2 \/ product2 e_1 e_3 e_3 \/ product2 e_3 e_1 e_1
% 3.42/3.62  |- ~product2 e_3 $Z e_2 \/ e_1 == $Z \/ product2 e_1 e_3 e_1 \/
% 3.42/3.62     product2 e_1 e_3 e_2 \/ product2 e_1 e_3 e_3 \/ product2 e_3 e_1 e_1
% 3.42/3.62  |- ~product2 e_3 e_1 $W \/ $W == e_2 \/ product2 e_1 e_3 e_1 \/
% 3.42/3.62     product2 e_1 e_3 e_2 \/ product2 e_1 e_3 e_3 \/ product2 e_3 e_1 e_1
% 3.42/3.62  |- ~product2 e_3 e_1 $Z \/ e_2 == $Z \/ product2 e_1 e_3 e_1 \/
% 3.42/3.62     product2 e_1 e_3 e_2 \/ product2 e_1 e_3 e_3 \/ product2 e_3 e_1 e_1
% 3.42/3.62  |- product2 e_1 e_3 e_1 \/ product2 e_1 e_3 e_2 \/ product2 e_1 e_3 e_3 \/
% 3.42/3.62     product2 e_3 e_1 e_1 \/ product2 e_3 e_4 e_1
% 3.42/3.62  |- ~product2 $W e_4 e_1 \/ $W == e_3 \/ product2 e_1 e_3 e_1 \/
% 3.42/3.62     product2 e_1 e_3 e_2 \/ product2 e_1 e_3 e_3 \/ product2 e_3 e_1 e_1
% 3.42/3.62  |- ~product2 $Z e_4 e_1 \/ e_3 == $Z \/ product2 e_1 e_3 e_1 \/
% 3.42/3.62     product2 e_1 e_3 e_2 \/ product2 e_1 e_3 e_3 \/ product2 e_3 e_1 e_1
% 3.42/3.62  |- ~product2 e_3 $W e_1 \/ $W == e_4 \/ product2 e_1 e_3 e_1 \/
% 3.42/3.62     product2 e_1 e_3 e_2 \/ product2 e_1 e_3 e_3 \/ product2 e_3 e_1 e_1
% 3.42/3.62  |- ~product2 e_3 $Z e_1 \/ e_4 == $Z \/ product2 e_1 e_3 e_1 \/
% 3.42/3.62     product2 e_1 e_3 e_2 \/ product2 e_1 e_3 e_3 \/ product2 e_3 e_1 e_1
% 3.42/3.62  |- ~product2 e_3 e_4 $W \/ $W == e_1 \/ product2 e_1 e_3 e_1 \/
% 3.42/3.62     product2 e_1 e_3 e_2 \/ product2 e_1 e_3 e_3 \/ product2 e_3 e_1 e_1
% 3.42/3.62  |- ~product2 e_3 e_4 $Z \/ e_1 == $Z \/ product2 e_1 e_3 e_1 \/
% 3.42/3.62     product2 e_1 e_3 e_2 \/ product2 e_1 e_3 e_3 \/ product2 e_3 e_1 e_1
% 3.42/3.62  |- product1 e_1 e_3 e_1 \/ product1 e_1 e_3 e_2 \/ product1 e_1 e_3 e_3 \/
% 3.42/3.62     product2 e_1 e_3 e_1 \/ product2 e_1 e_3 e_2
% 3.42/3.62  |- ~product2 $W e_3 e_2 \/ $W == e_1 \/ product1 e_1 e_3 e_1 \/
% 3.42/3.62     product1 e_1 e_3 e_2 \/ product1 e_1 e_3 e_3 \/ product2 e_1 e_3 e_1
% 3.42/3.62  |- ~product2 $Z e_3 e_2 \/ e_1 == $Z \/ product1 e_1 e_3 e_1 \/
% 3.42/3.62     product1 e_1 e_3 e_2 \/ product1 e_1 e_3 e_3 \/ product2 e_1 e_3 e_1
% 3.42/3.62  |- ~product2 e_1 $W e_2 \/ $W == e_3 \/ product1 e_1 e_3 e_1 \/
% 3.42/3.62     product1 e_1 e_3 e_2 \/ product1 e_1 e_3 e_3 \/ product2 e_1 e_3 e_1
% 3.42/3.62  |- ~product2 e_1 $Z e_2 \/ e_3 == $Z \/ product1 e_1 e_3 e_1 \/
% 3.42/3.62     product1 e_1 e_3 e_2 \/ product1 e_1 e_3 e_3 \/ product2 e_1 e_3 e_1
% 3.42/3.62  |- ~product2 e_1 e_3 $W \/ $W == e_2 \/ product1 e_1 e_3 e_1 \/
% 3.42/3.62     product1 e_1 e_3 e_2 \/ product1 e_1 e_3 e_3 \/ product2 e_1 e_3 e_1
% 3.42/3.62  |- ~product2 e_1 e_3 $Z \/ e_2 == $Z \/ product1 e_1 e_3 e_1 \/
% 3.42/3.62     product1 e_1 e_3 e_2 \/ product1 e_1 e_3 e_3 \/ product2 e_1 e_3 e_1
% 3.42/3.62  |- product1 e_1 e_3 e_1 \/ product1 e_1 e_3 e_2 \/ product1 e_1 e_3 e_3 \/
% 3.42/3.62     product2 e_1 e_3 e_1 \/ product2 e_4 e_3 e_1
% 3.42/3.62  |- ~product2 $W e_3 e_1 \/ $W == e_4 \/ product1 e_1 e_3 e_1 \/
% 3.42/3.62     product1 e_1 e_3 e_2 \/ product1 e_1 e_3 e_3 \/ product2 e_1 e_3 e_1
% 3.42/3.62  |- ~product2 $Z e_3 e_1 \/ e_4 == $Z \/ product1 e_1 e_3 e_1 \/
% 3.42/3.62     product1 e_1 e_3 e_2 \/ product1 e_1 e_3 e_3 \/ product2 e_1 e_3 e_1
% 3.42/3.62  |- ~product2 e_4 $W e_1 \/ $W == e_3 \/ product1 e_1 e_3 e_1 \/
% 3.42/3.62     product1 e_1 e_3 e_2 \/ product1 e_1 e_3 e_3 \/ product2 e_1 e_3 e_1
% 3.42/3.62  |- ~product2 e_4 $Z e_1 \/ e_3 == $Z \/ product1 e_1 e_3 e_1 \/
% 3.42/3.62     product1 e_1 e_3 e_2 \/ product1 e_1 e_3 e_3 \/ product2 e_1 e_3 e_1
% 3.42/3.62  |- ~product2 e_4 e_3 $W \/ $W == e_1 \/ product1 e_1 e_3 e_1 \/
% 3.42/3.62     product1 e_1 e_3 e_2 \/ product1 e_1 e_3 e_3 \/ product2 e_1 e_3 e_1
% 3.42/3.62  |- ~product2 e_4 e_3 $Z \/ e_1 == $Z \/ product1 e_1 e_3 e_1 \/
% 3.42/3.62     product1 e_1 e_3 e_2 \/ product1 e_1 e_3 e_3 \/ product2 e_1 e_3 e_1
% 3.42/3.62  |- product1 e_2 e_1 e_1 \/ product1 e_2 e_1 e_2 \/ product1 e_2 e_1 e_3 \/
% 3.42/3.62     product1 e_4 e_3 e_1 \/ product2 e_1 e_3 e_1 \/ product2 e_1 e_3 e_2
% 3.42/3.62  |- ~product2 $W e_3 e_2 \/ $W == e_1 \/ product1 e_2 e_1 e_1 \/
% 3.42/3.62     product1 e_2 e_1 e_2 \/ product1 e_2 e_1 e_3 \/ product1 e_4 e_3 e_1 \/
% 3.42/3.62     product2 e_1 e_3 e_1
% 3.42/3.62  |- ~product2 $Z e_3 e_2 \/ e_1 == $Z \/ product1 e_2 e_1 e_1 \/
% 3.42/3.62     product1 e_2 e_1 e_2 \/ product1 e_2 e_1 e_3 \/ product1 e_4 e_3 e_1 \/
% 3.42/3.62     product2 e_1 e_3 e_1
% 3.42/3.62  |- ~product2 e_1 $W e_2 \/ $W == e_3 \/ product1 e_2 e_1 e_1 \/
% 3.42/3.62     product1 e_2 e_1 e_2 \/ product1 e_2 e_1 e_3 \/ product1 e_4 e_3 e_1 \/
% 3.42/3.62     product2 e_1 e_3 e_1
% 3.42/3.62  |- ~product2 e_1 $Z e_2 \/ e_3 == $Z \/ product1 e_2 e_1 e_1 \/
% 3.42/3.62     product1 e_2 e_1 e_2 \/ product1 e_2 e_1 e_3 \/ product1 e_4 e_3 e_1 \/
% 3.42/3.62     product2 e_1 e_3 e_1
% 3.42/3.62  |- ~product2 e_1 e_3 $W \/ $W == e_2 \/ product1 e_2 e_1 e_1 \/
% 3.42/3.62     product1 e_2 e_1 e_2 \/ product1 e_2 e_1 e_3 \/ product1 e_4 e_3 e_1 \/
% 3.42/3.62     product2 e_1 e_3 e_1
% 3.42/3.62  |- ~product2 e_1 e_3 $Z \/ e_2 == $Z \/ product1 e_2 e_1 e_1 \/
% 3.42/3.62     product1 e_2 e_1 e_2 \/ product1 e_2 e_1 e_3 \/ product1 e_4 e_3 e_1 \/
% 3.42/3.62     product2 e_1 e_3 e_1
% 3.42/3.62  |- product1 e_2 e_1 e_1 \/ product1 e_2 e_1 e_2 \/ product1 e_2 e_1 e_3 \/
% 3.42/3.62     product1 e_4 e_3 e_1 \/ product2 e_1 e_3 e_1 \/ product2 e_4 e_3 e_1
% 3.42/3.62  |- ~product2 $W e_3 e_1 \/ $W == e_4 \/ product1 e_2 e_1 e_1 \/
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% 3.42/3.62     product2 e_1 e_3 e_1
% 3.42/3.62  |- ~product2 $Z e_3 e_1 \/ e_4 == $Z \/ product1 e_2 e_1 e_1 \/
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% 3.42/3.62     product2 e_1 e_3 e_1
% 3.42/3.62  |- ~product2 e_4 $W e_1 \/ $W == e_3 \/ product1 e_2 e_1 e_1 \/
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% 3.42/3.62     product2 e_1 e_3 e_1
% 3.42/3.62  |- ~product2 e_4 $Z e_1 \/ e_3 == $Z \/ product1 e_2 e_1 e_1 \/
% 3.42/3.62     product1 e_2 e_1 e_2 \/ product1 e_2 e_1 e_3 \/ product1 e_4 e_3 e_1 \/
% 3.42/3.62     product2 e_1 e_3 e_1
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% 3.42/3.63     product2 e_1 e_3 e_1
% 3.42/3.63  |- ~product2 e_4 e_3 $Z \/ e_1 == $Z \/ product1 e_2 e_1 e_1 \/
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% 3.42/3.63     product2 e_1 e_3 e_1
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% 3.42/3.63     product2 e_4 e_1 e_2
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% 3.42/3.63  |- ~product2 e_4 $Z e_1 \/ e_2 == $Z \/ product1 e_1 e_4 e_1 \/
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% 3.42/3.63  |- ~product2 e_4 e_2 $Z \/ e_1 == $Z \/ product1 e_1 e_4 e_1 \/
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% 3.42/3.63     product1 e_2 e_4 e_1 \/ product1 e_2 e_4 e_2
% 3.42/3.63  |- ~product2 $Z e_1 e_4 \/ e_3 == $Z \/ product1 e_1 e_3 e_1 \/
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% 3.42/3.63     product1 e_2 e_4 e_1 \/ product1 e_2 e_4 e_2
% 3.42/3.63  |- ~product2 e_3 $W e_4 \/ $W == e_1 \/ product1 e_1 e_3 e_1 \/
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% 3.42/3.63     product1 e_2 e_4 e_1 \/ product1 e_2 e_4 e_2
% 3.42/3.63  |- ~product2 e_3 $Z e_4 \/ e_1 == $Z \/ product1 e_1 e_3 e_1 \/
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% 3.42/3.63     product1 e_2 e_4 e_1 \/ product1 e_2 e_4 e_2
% 3.42/3.63  |- ~product2 e_3 e_1 $W \/ $W == e_4 \/ product1 e_1 e_3 e_1 \/
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% 3.42/3.63     product1 e_2 e_4 e_1 \/ product1 e_2 e_4 e_2
% 3.42/3.63  |- ~product2 e_3 e_1 $Z \/ e_4 == $Z \/ product1 e_1 e_3 e_1 \/
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% 3.42/3.63     product1 e_2 e_4 e_1 \/ product1 e_2 e_4 e_2
% 3.42/3.63  |- product2 e_1 e_2 e_1 \/ product2 e_1 e_2 e_2 \/ product2 e_1 e_2 e_3 \/
% 3.42/3.63     product2 e_2 e_1 e_1 \/ product2 e_2 e_1 e_2 \/ product2 e_2 e_4 e_1
% 3.42/3.63  |- ~product2 $W e_4 e_1 \/ $W == e_2 \/ product2 e_1 e_2 e_1 \/
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% 3.42/3.63     product2 e_2 e_1 e_2
% 3.42/3.63  |- ~product2 $Z e_4 e_1 \/ e_2 == $Z \/ product2 e_1 e_2 e_1 \/
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% 3.42/3.63     product2 e_2 e_1 e_2
% 3.42/3.63  |- ~product2 e_2 $W e_1 \/ $W == e_4 \/ product2 e_1 e_2 e_1 \/
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% 3.42/3.63     product2 e_2 e_1 e_2
% 3.42/3.63  |- ~product2 e_2 $Z e_1 \/ e_4 == $Z \/ product2 e_1 e_2 e_1 \/
% 3.42/3.63     product2 e_1 e_2 e_2 \/ product2 e_1 e_2 e_3 \/ product2 e_2 e_1 e_1 \/
% 3.42/3.63     product2 e_2 e_1 e_2
% 3.42/3.63  |- ~product2 e_2 e_4 $W \/ $W == e_1 \/ product2 e_1 e_2 e_1 \/
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% 3.42/3.63     product2 e_2 e_1 e_2
% 3.42/3.63  |- ~product2 e_2 e_4 $Z \/ e_1 == $Z \/ product2 e_1 e_2 e_1 \/
% 3.42/3.63     product2 e_1 e_2 e_2 \/ product2 e_1 e_2 e_3 \/ product2 e_2 e_1 e_1 \/
% 3.42/3.63     product2 e_2 e_1 e_2
% 3.42/3.63  |- ~product2 $W e_3 e_1 \/ $W == e_4 \/ product1 e_2 e_1 e_1 \/
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% 3.42/3.63     product1 e_4 e_1 e_2 \/ product2 e_4 e_1 e_1
% 3.42/3.63  |- ~product2 $Z e_3 e_1 \/ e_4 == $Z \/ product1 e_2 e_1 e_1 \/
% 3.42/3.63     product1 e_2 e_1 e_2 \/ product1 e_2 e_1 e_3 \/ product1 e_4 e_1 e_1 \/
% 3.42/3.63     product1 e_4 e_1 e_2 \/ product2 e_4 e_1 e_1
% 3.42/3.63  |- ~product2 e_4 $W e_1 \/ $W == e_3 \/ product1 e_2 e_1 e_1 \/
% 3.42/3.63     product1 e_2 e_1 e_2 \/ product1 e_2 e_1 e_3 \/ product1 e_4 e_1 e_1 \/
% 3.42/3.63     product1 e_4 e_1 e_2 \/ product2 e_4 e_1 e_1
% 3.42/3.63  |- ~product2 e_4 $Z e_1 \/ e_3 == $Z \/ product1 e_2 e_1 e_1 \/
% 3.42/3.63     product1 e_2 e_1 e_2 \/ product1 e_2 e_1 e_3 \/ product1 e_4 e_1 e_1 \/
% 3.42/3.63     product1 e_4 e_1 e_2 \/ product2 e_4 e_1 e_1
% 3.42/3.63  |- ~product2 e_4 e_3 $W \/ $W == e_1 \/ product1 e_2 e_1 e_1 \/
% 3.42/3.63     product1 e_2 e_1 e_2 \/ product1 e_2 e_1 e_3 \/ product1 e_4 e_1 e_1 \/
% 3.42/3.63     product1 e_4 e_1 e_2 \/ product2 e_4 e_1 e_1
% 3.42/3.63  |- ~product2 e_4 e_3 $Z \/ e_1 == $Z \/ product1 e_2 e_1 e_1 \/
% 3.42/3.63     product1 e_2 e_1 e_2 \/ product1 e_2 e_1 e_3 \/ product1 e_4 e_1 e_1 \/
% 3.42/3.63     product1 e_4 e_1 e_2 \/ product2 e_4 e_1 e_1
% 3.42/3.63  |- product1 e_1 e_3 e_1 \/ product1 e_1 e_3 e_2 \/ product1 e_1 e_3 e_3 \/
% 3.42/3.63     product2 e_2 e_1 e_1 \/ product2 e_2 e_1 e_2 \/ product2 e_2 e_4 e_1
% 3.42/3.63  |- ~product2 $W e_4 e_1 \/ $W == e_2 \/ product1 e_1 e_3 e_1 \/
% 3.42/3.63     product1 e_1 e_3 e_2 \/ product1 e_1 e_3 e_3 \/ product2 e_2 e_1 e_1 \/
% 3.42/3.63     product2 e_2 e_1 e_2
% 3.42/3.63  |- ~product2 $Z e_4 e_1 \/ e_2 == $Z \/ product1 e_1 e_3 e_1 \/
% 3.42/3.63     product1 e_1 e_3 e_2 \/ product1 e_1 e_3 e_3 \/ product2 e_2 e_1 e_1 \/
% 3.42/3.63     product2 e_2 e_1 e_2
% 3.42/3.63  |- ~product2 e_2 $W e_1 \/ $W == e_4 \/ product1 e_1 e_3 e_1 \/
% 3.42/3.63     product1 e_1 e_3 e_2 \/ product1 e_1 e_3 e_3 \/ product2 e_2 e_1 e_1 \/
% 3.42/3.63     product2 e_2 e_1 e_2
% 3.42/3.63  |- ~product2 e_2 $Z e_1 \/ e_4 == $Z \/ product1 e_1 e_3 e_1 \/
% 3.42/3.63     product1 e_1 e_3 e_2 \/ product1 e_1 e_3 e_3 \/ product2 e_2 e_1 e_1 \/
% 3.42/3.63     product2 e_2 e_1 e_2
% 3.42/3.63  |- ~product2 e_2 e_4 $W \/ $W == e_1 \/ product1 e_1 e_3 e_1 \/
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% 3.42/3.63     product2 e_2 e_1 e_2
% 3.42/3.63  |- ~product2 e_2 e_4 $Z \/ e_1 == $Z \/ product1 e_1 e_3 e_1 \/
% 3.42/3.63     product1 e_1 e_3 e_2 \/ product1 e_1 e_3 e_3 \/ product2 e_2 e_1 e_1 \/
% 3.42/3.63     product2 e_2 e_1 e_2
% 3.42/3.63  |- ~product2 $W e_4 e_1 \/ $W == e_2 \/ product1 e_1 e_3 e_1 \/
% 3.42/3.63     product1 e_1 e_3 e_2 \/ product1 e_1 e_3 e_3 \/ product1 e_3 e_1 e_1 \/
% 3.42/3.63     product1 e_4 e_1 e_1 \/ product1 e_4 e_1 e_2
% 3.42/3.63  |- ~product2 $Z e_4 e_1 \/ e_2 == $Z \/ product1 e_1 e_3 e_1 \/
% 3.42/3.63     product1 e_1 e_3 e_2 \/ product1 e_1 e_3 e_3 \/ product1 e_3 e_1 e_1 \/
% 3.42/3.63     product1 e_4 e_1 e_1 \/ product1 e_4 e_1 e_2
% 3.42/3.63  |- ~product2 e_2 $W e_1 \/ $W == e_4 \/ product1 e_1 e_3 e_1 \/
% 3.42/3.63     product1 e_1 e_3 e_2 \/ product1 e_1 e_3 e_3 \/ product1 e_3 e_1 e_1 \/
% 3.42/3.63     product1 e_4 e_1 e_1 \/ product1 e_4 e_1 e_2
% 3.42/3.63  |- ~product2 e_2 $Z e_1 \/ e_4 == $Z \/ product1 e_1 e_3 e_1 \/
% 3.42/3.63     product1 e_1 e_3 e_2 \/ product1 e_1 e_3 e_3 \/ product1 e_3 e_1 e_1 \/
% 3.42/3.63     product1 e_4 e_1 e_1 \/ product1 e_4 e_1 e_2
% 3.42/3.63  |- ~product2 e_2 e_4 $W \/ $W == e_1 \/ product1 e_1 e_3 e_1 \/
% 3.42/3.63     product1 e_1 e_3 e_2 \/ product1 e_1 e_3 e_3 \/ product1 e_3 e_1 e_1 \/
% 3.42/3.63     product1 e_4 e_1 e_1 \/ product1 e_4 e_1 e_2
% 3.42/3.63  |- ~product2 e_2 e_4 $Z \/ e_1 == $Z \/ product1 e_1 e_3 e_1 \/
% 3.42/3.63     product1 e_1 e_3 e_2 \/ product1 e_1 e_3 e_3 \/ product1 e_3 e_1 e_1 \/
% 3.42/3.63     product1 e_4 e_1 e_1 \/ product1 e_4 e_1 e_2
% 3.42/3.63  |- ~product2 $W e_2 e_3 \/ $W == e_1 \/ product1 e_3 e_1 e_1 \/
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% 3.42/3.63     product1 e_4 e_2 e_2 \/ product2 e_1 e_2 e_1 \/ product2 e_1 e_2 e_2
% 3.42/3.63  |- ~product2 $Z e_2 e_3 \/ e_1 == $Z \/ product1 e_3 e_1 e_1 \/
% 3.42/3.63     product1 e_3 e_1 e_2 \/ product1 e_3 e_1 e_3 \/ product1 e_4 e_2 e_1 \/
% 3.42/3.63     product1 e_4 e_2 e_2 \/ product2 e_1 e_2 e_1 \/ product2 e_1 e_2 e_2
% 3.42/3.63  |- ~product2 e_1 $W e_3 \/ $W == e_2 \/ product1 e_3 e_1 e_1 \/
% 3.42/3.63     product1 e_3 e_1 e_2 \/ product1 e_3 e_1 e_3 \/ product1 e_4 e_2 e_1 \/
% 3.42/3.63     product1 e_4 e_2 e_2 \/ product2 e_1 e_2 e_1 \/ product2 e_1 e_2 e_2
% 3.42/3.63  |- ~product2 e_1 $Z e_3 \/ e_2 == $Z \/ product1 e_3 e_1 e_1 \/
% 3.42/3.63     product1 e_3 e_1 e_2 \/ product1 e_3 e_1 e_3 \/ product1 e_4 e_2 e_1 \/
% 3.42/3.63     product1 e_4 e_2 e_2 \/ product2 e_1 e_2 e_1 \/ product2 e_1 e_2 e_2
% 3.42/3.63  |- ~product2 e_1 e_2 $W \/ $W == e_3 \/ product1 e_3 e_1 e_1 \/
% 3.42/3.63     product1 e_3 e_1 e_2 \/ product1 e_3 e_1 e_3 \/ product1 e_4 e_2 e_1 \/
% 3.42/3.63     product1 e_4 e_2 e_2 \/ product2 e_1 e_2 e_1 \/ product2 e_1 e_2 e_2
% 3.42/3.63  |- ~product2 e_1 e_2 $Z \/ e_3 == $Z \/ product1 e_3 e_1 e_1 \/
% 3.42/3.63     product1 e_3 e_1 e_2 \/ product1 e_3 e_1 e_3 \/ product1 e_4 e_2 e_1 \/
% 3.42/3.63     product1 e_4 e_2 e_2 \/ product2 e_1 e_2 e_1 \/ product2 e_1 e_2 e_2
% 3.42/3.63  |- product1 e_1 e_2 e_1 \/ product1 e_1 e_2 e_2 \/ product1 e_1 e_2 e_3 \/
% 3.42/3.63     product1 e_1 e_3 e_1 \/ product2 e_2 e_4 e_3
% 3.42/3.63  |- ~product2 $W e_4 e_3 \/ $W == e_2 \/ product1 e_1 e_2 e_1 \/
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% 3.42/3.63  |- ~product2 $Z e_4 e_3 \/ e_2 == $Z \/ product1 e_1 e_2 e_1 \/
% 3.42/3.63     product1 e_1 e_2 e_2 \/ product1 e_1 e_2 e_3 \/ product1 e_1 e_3 e_1
% 3.42/3.63  |- ~product2 e_2 $W e_3 \/ $W == e_4 \/ product1 e_1 e_2 e_1 \/
% 3.42/3.63     product1 e_1 e_2 e_2 \/ product1 e_1 e_2 e_3 \/ product1 e_1 e_3 e_1
% 3.42/3.63  |- ~product2 e_2 $Z e_3 \/ e_4 == $Z \/ product1 e_1 e_2 e_1 \/
% 3.42/3.63     product1 e_1 e_2 e_2 \/ product1 e_1 e_2 e_3 \/ product1 e_1 e_3 e_1
% 3.42/3.63  |- ~product2 e_2 e_4 $W \/ $W == e_3 \/ product1 e_1 e_2 e_1 \/
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% 3.42/3.63  |- ~product2 e_2 e_4 $Z \/ e_3 == $Z \/ product1 e_1 e_2 e_1 \/
% 3.42/3.63     product1 e_1 e_2 e_2 \/ product1 e_1 e_2 e_3 \/ product1 e_1 e_3 e_1
% 3.42/3.63  |- product1 e_3 e_1 e_1 \/ product1 e_3 e_1 e_2 \/ product1 e_3 e_1 e_3 \/
% 3.42/3.63     product1 e_4 e_2 e_1 \/ product1 e_4 e_2 e_2 \/ product2 e_3 e_1 e_1 \/
% 3.42/3.63     product2 e_3 e_1 e_2
% 3.42/3.63  |- ~product2 $W e_1 e_2 \/ $W == e_3 \/ product1 e_3 e_1 e_1 \/
% 3.42/3.63     product1 e_3 e_1 e_2 \/ product1 e_3 e_1 e_3 \/ product1 e_4 e_2 e_1 \/
% 3.42/3.63     product1 e_4 e_2 e_2 \/ product2 e_3 e_1 e_1
% 3.42/3.63  |- ~product2 $Z e_1 e_2 \/ e_3 == $Z \/ product1 e_3 e_1 e_1 \/
% 3.42/3.63     product1 e_3 e_1 e_2 \/ product1 e_3 e_1 e_3 \/ product1 e_4 e_2 e_1 \/
% 3.42/3.63     product1 e_4 e_2 e_2 \/ product2 e_3 e_1 e_1
% 3.42/3.63  |- ~product2 e_3 $W e_2 \/ $W == e_1 \/ product1 e_3 e_1 e_1 \/
% 3.42/3.63     product1 e_3 e_1 e_2 \/ product1 e_3 e_1 e_3 \/ product1 e_4 e_2 e_1 \/
% 3.42/3.63     product1 e_4 e_2 e_2 \/ product2 e_3 e_1 e_1
% 3.42/3.63  |- ~product2 e_3 $Z e_2 \/ e_1 == $Z \/ product1 e_3 e_1 e_1 \/
% 3.42/3.63     product1 e_3 e_1 e_2 \/ product1 e_3 e_1 e_3 \/ product1 e_4 e_2 e_1 \/
% 3.42/3.63     product1 e_4 e_2 e_2 \/ product2 e_3 e_1 e_1
% 3.42/3.63  |- ~product2 e_3 e_1 $W \/ $W == e_2 \/ product1 e_3 e_1 e_1 \/
% 3.42/3.63     product1 e_3 e_1 e_2 \/ product1 e_3 e_1 e_3 \/ product1 e_4 e_2 e_1 \/
% 3.42/3.63     product1 e_4 e_2 e_2 \/ product2 e_3 e_1 e_1
% 3.42/3.63  |- ~product2 e_3 e_1 $Z \/ e_2 == $Z \/ product1 e_3 e_1 e_1 \/
% 3.42/3.63     product1 e_3 e_1 e_2 \/ product1 e_3 e_1 e_3 \/ product1 e_4 e_2 e_1 \/
% 3.42/3.63     product1 e_4 e_2 e_2 \/ product2 e_3 e_1 e_1
% 3.42/3.63  |- ~product2 $W e_2 e_1 \/ $W == e_4 \/ product1 e_1 e_2 e_1 \/
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% 3.42/3.63     product1 e_3 e_1 e_3
% 3.42/3.63  |- ~product2 $Z e_2 e_1 \/ e_4 == $Z \/ product1 e_1 e_2 e_1 \/
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% 3.42/3.63     product1 e_3 e_1 e_3
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% 3.42/3.63     product1 e_3 e_1 e_3
% 3.42/3.63  |- ~product2 e_4 $Z e_1 \/ e_2 == $Z \/ product1 e_1 e_2 e_1 \/
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% 3.42/3.63     product1 e_3 e_1 e_3
% 3.42/3.63  |- ~product2 e_4 e_2 $Z \/ e_1 == $Z \/ product1 e_1 e_2 e_1 \/
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% 3.42/3.63  |- ~product2 e_4 e_1 $Z \/ e_2 == $Z \/ product1 e_2 e_1 e_1 \/
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% 3.42/3.63     product2 e_4 e_1 e_1 \/ product2 e_4 e_3 e_1
% 3.42/3.63  |- ~product2 $W e_1 e_2 \/ $W == e_4 \/ product1 e_2 e_1 e_1 \/
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% 3.42/3.63     product2 e_1 e_3 e_1 \/ product2 e_4 e_1 e_1
% 3.42/3.63  |- ~product2 $Z e_1 e_2 \/ e_4 == $Z \/ product1 e_2 e_1 e_1 \/
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% 3.42/3.63  |- ~product2 e_4 $W e_2 \/ $W == e_1 \/ product1 e_2 e_1 e_1 \/
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% 3.42/3.63     product2 e_1 e_3 e_1 \/ product2 e_4 e_1 e_1
% 3.42/3.63  |- ~product2 e_4 $Z e_2 \/ e_1 == $Z \/ product1 e_2 e_1 e_1 \/
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% 3.42/3.63     product2 e_1 e_3 e_1 \/ product2 e_4 e_1 e_1
% 3.42/3.63  |- ~product2 e_4 e_1 $W \/ $W == e_2 \/ product1 e_2 e_1 e_1 \/
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% 3.42/3.63     product2 e_1 e_3 e_1 \/ product2 e_4 e_1 e_1
% 3.42/3.63  |- ~product2 e_4 e_1 $Z \/ e_2 == $Z \/ product1 e_2 e_1 e_1 \/
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% 3.42/3.63     product2 e_1 e_3 e_1 \/ product2 e_4 e_1 e_1
% 3.42/3.63  |- product1 e_3 e_1 e_1 \/ product1 e_3 e_1 e_2 \/ product1 e_3 e_1 e_3 \/
% 3.42/3.63     product1 e_4 e_1 e_1 \/ product2 e_2 e_3 e_1
% 3.42/3.63  |- ~product2 $W e_3 e_1 \/ $W == e_2 \/ product1 e_3 e_1 e_1 \/
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% 3.42/3.63  |- ~product2 $Z e_3 e_1 \/ e_2 == $Z \/ product1 e_3 e_1 e_1 \/
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% 3.42/3.63  |- ~product2 e_2 $W e_1 \/ $W == e_3 \/ product1 e_3 e_1 e_1 \/
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% 3.42/3.63  |- ~product2 e_2 $Z e_1 \/ e_3 == $Z \/ product1 e_3 e_1 e_1 \/
% 3.42/3.63     product1 e_3 e_1 e_2 \/ product1 e_3 e_1 e_3 \/ product1 e_4 e_1 e_1
% 3.42/3.63  |- ~product2 e_2 e_3 $W \/ $W == e_1 \/ product1 e_3 e_1 e_1 \/
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% 3.42/3.63  |- ~product2 e_2 e_3 $Z \/ e_1 == $Z \/ product1 e_3 e_1 e_1 \/
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% 3.42/3.63  |- product1 e_3 e_1 e_1 \/ product1 e_3 e_1 e_2 \/ product1 e_3 e_1 e_3 \/
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% 3.42/3.63  |- ~product2 $W e_4 e_2 \/ $W == e_1 \/ product1 e_3 e_1 e_1 \/
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% 3.42/3.63     product2 e_1 e_4 e_1
% 3.42/3.63  |- ~product2 $Z e_4 e_2 \/ e_1 == $Z \/ product1 e_3 e_1 e_1 \/
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% 3.42/3.63     product2 e_1 e_4 e_1
% 3.42/3.63  |- ~product2 e_1 $W e_2 \/ $W == e_4 \/ product1 e_3 e_1 e_1 \/
% 3.42/3.63     product1 e_3 e_1 e_2 \/ product1 e_3 e_1 e_3 \/ product1 e_4 e_1 e_1 \/
% 3.42/3.63     product2 e_1 e_4 e_1
% 3.42/3.63  |- ~product2 e_1 $Z e_2 \/ e_4 == $Z \/ product1 e_3 e_1 e_1 \/
% 3.42/3.63     product1 e_3 e_1 e_2 \/ product1 e_3 e_1 e_3 \/ product1 e_4 e_1 e_1 \/
% 3.42/3.63     product2 e_1 e_4 e_1
% 3.42/3.63  |- ~product2 e_1 e_4 $W \/ $W == e_2 \/ product1 e_3 e_1 e_1 \/
% 3.42/3.63     product1 e_3 e_1 e_2 \/ product1 e_3 e_1 e_3 \/ product1 e_4 e_1 e_1 \/
% 3.42/3.63     product2 e_1 e_4 e_1
% 3.42/3.63  |- ~product2 e_1 e_4 $Z \/ e_2 == $Z \/ product1 e_3 e_1 e_1 \/
% 3.42/3.63     product1 e_3 e_1 e_2 \/ product1 e_3 e_1 e_3 \/ product1 e_4 e_1 e_1 \/
% 3.42/3.63     product2 e_1 e_4 e_1
% 3.42/3.63  |- product1 e_3 e_1 e_1 \/ product1 e_3 e_1 e_2 \/ product1 e_3 e_1 e_3 \/
% 3.42/3.63     product1 e_4 e_1 e_1 \/ product2 e_1 e_4 e_1 \/ product2 e_3 e_4 e_1
% 3.42/3.63  |- ~product2 $W e_4 e_1 \/ $W == e_3 \/ product1 e_3 e_1 e_1 \/
% 3.42/3.63     product1 e_3 e_1 e_2 \/ product1 e_3 e_1 e_3 \/ product1 e_4 e_1 e_1 \/
% 3.42/3.63     product2 e_1 e_4 e_1
% 3.42/3.63  |- ~product2 $Z e_4 e_1 \/ e_3 == $Z \/ product1 e_3 e_1 e_1 \/
% 3.42/3.63     product1 e_3 e_1 e_2 \/ product1 e_3 e_1 e_3 \/ product1 e_4 e_1 e_1 \/
% 3.42/3.63     product2 e_1 e_4 e_1
% 3.42/3.63  |- ~product2 e_3 $W e_1 \/ $W == e_4 \/ product1 e_3 e_1 e_1 \/
% 3.42/3.63     product1 e_3 e_1 e_2 \/ product1 e_3 e_1 e_3 \/ product1 e_4 e_1 e_1 \/
% 3.42/3.63     product2 e_1 e_4 e_1
% 3.42/3.63  |- ~product2 e_3 $Z e_1 \/ e_4 == $Z \/ product1 e_3 e_1 e_1 \/
% 3.42/3.63     product1 e_3 e_1 e_2 \/ product1 e_3 e_1 e_3 \/ product1 e_4 e_1 e_1 \/
% 3.42/3.63     product2 e_1 e_4 e_1
% 3.42/3.63  |- ~product2 e_3 e_4 $W \/ $W == e_1 \/ product1 e_3 e_1 e_1 \/
% 3.42/3.63     product1 e_3 e_1 e_2 \/ product1 e_3 e_1 e_3 \/ product1 e_4 e_1 e_1 \/
% 3.42/3.63     product2 e_1 e_4 e_1
% 3.42/3.63  |- ~product2 e_3 e_4 $Z \/ e_1 == $Z \/ product1 e_3 e_1 e_1 \/
% 3.42/3.63     product1 e_3 e_1 e_2 \/ product1 e_3 e_1 e_3 \/ product1 e_4 e_1 e_1 \/
% 3.42/3.63     product2 e_1 e_4 e_1
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% 3.42/3.63     product1 e_3 e_1 e_1 \/ product2 e_2 e_1 e_1 \/ product2 e_2 e_1 e_2 \/
% 3.42/3.63     product2 e_2 e_4 e_1
% 3.42/3.63  |- ~product2 $W e_4 e_1 \/ $W == e_2 \/ product1 e_2 e_1 e_1 \/
% 3.42/3.63     product1 e_2 e_1 e_2 \/ product1 e_2 e_1 e_3 \/ product1 e_3 e_1 e_1 \/
% 3.42/3.63     product2 e_2 e_1 e_1 \/ product2 e_2 e_1 e_2
% 3.42/3.63  |- ~product2 $Z e_4 e_1 \/ e_2 == $Z \/ product1 e_2 e_1 e_1 \/
% 3.42/3.63     product1 e_2 e_1 e_2 \/ product1 e_2 e_1 e_3 \/ product1 e_3 e_1 e_1 \/
% 3.42/3.63     product2 e_2 e_1 e_1 \/ product2 e_2 e_1 e_2
% 3.42/3.63  |- ~product2 e_2 $W e_1 \/ $W == e_4 \/ product1 e_2 e_1 e_1 \/
% 3.42/3.63     product1 e_2 e_1 e_2 \/ product1 e_2 e_1 e_3 \/ product1 e_3 e_1 e_1 \/
% 3.42/3.63     product2 e_2 e_1 e_1 \/ product2 e_2 e_1 e_2
% 3.42/3.63  |- ~product2 e_2 $Z e_1 \/ e_4 == $Z \/ product1 e_2 e_1 e_1 \/
% 3.42/3.63     product1 e_2 e_1 e_2 \/ product1 e_2 e_1 e_3 \/ product1 e_3 e_1 e_1 \/
% 3.42/3.63     product2 e_2 e_1 e_1 \/ product2 e_2 e_1 e_2
% 3.42/3.63  |- ~product2 e_2 e_4 $W \/ $W == e_1 \/ product1 e_2 e_1 e_1 \/
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% 3.42/3.63     product2 e_2 e_1 e_1 \/ product2 e_2 e_1 e_2
% 3.42/3.63  |- ~product2 e_2 e_4 $Z \/ e_1 == $Z \/ product1 e_2 e_1 e_1 \/
% 3.42/3.63     product1 e_2 e_1 e_2 \/ product1 e_2 e_1 e_3 \/ product1 e_3 e_1 e_1 \/
% 3.42/3.63     product2 e_2 e_1 e_1 \/ product2 e_2 e_1 e_2
% 3.42/3.63  |- product1 e_3 e_2 e_1 \/ product1 e_3 e_2 e_2 \/ product1 e_3 e_2 e_3 \/
% 3.42/3.63     product2 e_2 e_1 e_1 \/ product2 e_2 e_1 e_2 \/ product2 e_2 e_4 e_1
% 3.42/3.63  |- ~product2 $W e_4 e_1 \/ $W == e_2 \/ product1 e_3 e_2 e_1 \/
% 3.42/3.63     product1 e_3 e_2 e_2 \/ product1 e_3 e_2 e_3 \/ product2 e_2 e_1 e_1 \/
% 3.42/3.63     product2 e_2 e_1 e_2
% 3.42/3.63  |- ~product2 $Z e_4 e_1 \/ e_2 == $Z \/ product1 e_3 e_2 e_1 \/
% 3.42/3.63     product1 e_3 e_2 e_2 \/ product1 e_3 e_2 e_3 \/ product2 e_2 e_1 e_1 \/
% 3.42/3.63     product2 e_2 e_1 e_2
% 3.42/3.63  |- ~product2 e_2 $W e_1 \/ $W == e_4 \/ product1 e_3 e_2 e_1 \/
% 3.42/3.63     product1 e_3 e_2 e_2 \/ product1 e_3 e_2 e_3 \/ product2 e_2 e_1 e_1 \/
% 3.42/3.63     product2 e_2 e_1 e_2
% 3.42/3.63  |- ~product2 e_2 $Z e_1 \/ e_4 == $Z \/ product1 e_3 e_2 e_1 \/
% 3.42/3.63     product1 e_3 e_2 e_2 \/ product1 e_3 e_2 e_3 \/ product2 e_2 e_1 e_1 \/
% 3.42/3.63     product2 e_2 e_1 e_2
% 3.42/3.63  |- ~product2 e_2 e_4 $W \/ $W == e_1 \/ product1 e_3 e_2 e_1 \/
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% 3.42/3.63     product2 e_2 e_1 e_2
% 3.42/3.63  |- ~product2 e_2 e_4 $Z \/ e_1 == $Z \/ product1 e_3 e_2 e_1 \/
% 3.42/3.63     product1 e_3 e_2 e_2 \/ product1 e_3 e_2 e_3 \/ product2 e_2 e_1 e_1 \/
% 3.42/3.63     product2 e_2 e_1 e_2
% 3.42/3.63  |- product1 e_2 e_3 e_1 \/ product1 e_2 e_3 e_2 \/ product1 e_2 e_3 e_3 \/
% 3.42/3.63     product1 e_3 e_4 e_1 \/ product2 e_2 e_3 e_1
% 3.42/3.63  |- ~product2 $W e_3 e_1 \/ $W == e_2 \/ product1 e_2 e_3 e_1 \/
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% 3.42/3.63  |- ~product2 $Z e_3 e_1 \/ e_2 == $Z \/ product1 e_2 e_3 e_1 \/
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% 3.47/3.63  |- ~product2 e_2 $W e_1 \/ $W == e_3 \/ product1 e_2 e_3 e_1 \/
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% 3.47/3.63  |- ~product2 e_2 $Z e_1 \/ e_3 == $Z \/ product1 e_2 e_3 e_1 \/
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% 3.47/3.63  |- ~product2 e_2 e_3 $W \/ $W == e_1 \/ product1 e_2 e_3 e_1 \/
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% 3.47/3.63  |- ~product2 e_2 e_3 $Z \/ e_1 == $Z \/ product1 e_2 e_3 e_1 \/
% 3.47/3.63     product1 e_2 e_3 e_2 \/ product1 e_2 e_3 e_3 \/ product1 e_3 e_4 e_1
% 3.47/3.63  |- product1 e_3 e_1 e_1 \/ product1 e_3 e_1 e_2 \/ product1 e_3 e_1 e_3 \/
% 3.47/3.63     product1 e_4 e_1 e_1 \/ product2 e_1 e_2 e_1 \/ product2 e_1 e_2 e_2 \/
% 3.47/3.63     product2 e_1 e_2 e_3
% 3.47/3.63  |- ~product2 $W e_2 e_3 \/ $W == e_1 \/ product1 e_3 e_1 e_1 \/
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% 3.47/3.63     product2 e_1 e_2 e_1 \/ product2 e_1 e_2 e_2
% 3.47/3.63  |- ~product2 $Z e_2 e_3 \/ e_1 == $Z \/ product1 e_3 e_1 e_1 \/
% 3.47/3.63     product1 e_3 e_1 e_2 \/ product1 e_3 e_1 e_3 \/ product1 e_4 e_1 e_1 \/
% 3.47/3.63     product2 e_1 e_2 e_1 \/ product2 e_1 e_2 e_2
% 3.47/3.63  |- ~product2 e_1 $W e_3 \/ $W == e_2 \/ product1 e_3 e_1 e_1 \/
% 3.47/3.63     product1 e_3 e_1 e_2 \/ product1 e_3 e_1 e_3 \/ product1 e_4 e_1 e_1 \/
% 3.47/3.63     product2 e_1 e_2 e_1 \/ product2 e_1 e_2 e_2
% 3.47/3.64  |- ~product2 e_1 $Z e_3 \/ e_2 == $Z \/ product1 e_3 e_1 e_1 \/
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% 3.47/3.64  |- ~product2 e_3 e_4 $Z \/ e_1 == $Z \/ product1 e_1 e_4 e_1 \/
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% 3.47/3.64     product2 e_4 e_2 e_1
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% 3.47/3.64     product1 e_4 e_2 e_2 \/ product2 e_1 e_2 e_1 \/ product2 e_1 e_2 e_2
% 3.47/3.64  |- product1 e_2 e_1 e_1 \/ product1 e_2 e_1 e_2 \/ product1 e_2 e_1 e_3 \/
% 3.47/3.64     product1 e_4 e_1 e_1 \/ product1 e_4 e_1 e_2 \/ product2 e_1 e_3 e_1 \/
% 3.47/3.64     product2 e_1 e_3 e_2
% 3.47/3.64  |- ~product2 $W e_3 e_2 \/ $W == e_1 \/ product1 e_2 e_1 e_1 \/
% 3.47/3.64     product1 e_2 e_1 e_2 \/ product1 e_2 e_1 e_3 \/ product1 e_4 e_1 e_1 \/
% 3.47/3.64     product1 e_4 e_1 e_2 \/ product2 e_1 e_3 e_1
% 3.47/3.64  |- ~product2 $Z e_3 e_2 \/ e_1 == $Z \/ product1 e_2 e_1 e_1 \/
% 3.47/3.64     product1 e_2 e_1 e_2 \/ product1 e_2 e_1 e_3 \/ product1 e_4 e_1 e_1 \/
% 3.47/3.64     product1 e_4 e_1 e_2 \/ product2 e_1 e_3 e_1
% 3.47/3.64  |- ~product2 e_1 $W e_2 \/ $W == e_3 \/ product1 e_2 e_1 e_1 \/
% 3.47/3.64     product1 e_2 e_1 e_2 \/ product1 e_2 e_1 e_3 \/ product1 e_4 e_1 e_1 \/
% 3.47/3.64     product1 e_4 e_1 e_2 \/ product2 e_1 e_3 e_1
% 3.47/3.64  |- ~product2 e_1 $Z e_2 \/ e_3 == $Z \/ product1 e_2 e_1 e_1 \/
% 3.47/3.64     product1 e_2 e_1 e_2 \/ product1 e_2 e_1 e_3 \/ product1 e_4 e_1 e_1 \/
% 3.47/3.64     product1 e_4 e_1 e_2 \/ product2 e_1 e_3 e_1
% 3.47/3.64  |- ~product2 e_1 e_3 $W \/ $W == e_2 \/ product1 e_2 e_1 e_1 \/
% 3.47/3.64     product1 e_2 e_1 e_2 \/ product1 e_2 e_1 e_3 \/ product1 e_4 e_1 e_1 \/
% 3.47/3.64     product1 e_4 e_1 e_2 \/ product2 e_1 e_3 e_1
% 3.47/3.64  |- ~product2 e_1 e_3 $Z \/ e_2 == $Z \/ product1 e_2 e_1 e_1 \/
% 3.47/3.64     product1 e_2 e_1 e_2 \/ product1 e_2 e_1 e_3 \/ product1 e_4 e_1 e_1 \/
% 3.47/3.64     product1 e_4 e_1 e_2 \/ product2 e_1 e_3 e_1
% 3.47/3.64  |- product1 e_2 e_1 e_1 \/ product1 e_2 e_1 e_2 \/ product1 e_2 e_1 e_3 \/
% 3.47/3.64     product1 e_4 e_1 e_1 \/ product1 e_4 e_1 e_2 \/ product2 e_1 e_3 e_1 \/
% 3.47/3.64     product2 e_4 e_3 e_1
% 3.47/3.64  |- ~product2 $W e_3 e_1 \/ $W == e_4 \/ product1 e_2 e_1 e_1 \/
% 3.47/3.64     product1 e_2 e_1 e_2 \/ product1 e_2 e_1 e_3 \/ product1 e_4 e_1 e_1 \/
% 3.47/3.64     product1 e_4 e_1 e_2 \/ product2 e_1 e_3 e_1
% 3.47/3.64  |- ~product2 $Z e_3 e_1 \/ e_4 == $Z \/ product1 e_2 e_1 e_1 \/
% 3.47/3.64     product1 e_2 e_1 e_2 \/ product1 e_2 e_1 e_3 \/ product1 e_4 e_1 e_1 \/
% 3.47/3.64     product1 e_4 e_1 e_2 \/ product2 e_1 e_3 e_1
% 3.47/3.64  |- ~product2 e_4 $W e_1 \/ $W == e_3 \/ product1 e_2 e_1 e_1 \/
% 3.47/3.64     product1 e_2 e_1 e_2 \/ product1 e_2 e_1 e_3 \/ product1 e_4 e_1 e_1 \/
% 3.47/3.64     product1 e_4 e_1 e_2 \/ product2 e_1 e_3 e_1
% 3.47/3.64  |- ~product2 e_4 $Z e_1 \/ e_3 == $Z \/ product1 e_2 e_1 e_1 \/
% 3.47/3.64     product1 e_2 e_1 e_2 \/ product1 e_2 e_1 e_3 \/ product1 e_4 e_1 e_1 \/
% 3.47/3.64     product1 e_4 e_1 e_2 \/ product2 e_1 e_3 e_1
% 3.47/3.64  |- ~product2 e_4 e_3 $W \/ $W == e_1 \/ product1 e_2 e_1 e_1 \/
% 3.47/3.64     product1 e_2 e_1 e_2 \/ product1 e_2 e_1 e_3 \/ product1 e_4 e_1 e_1 \/
% 3.47/3.64     product1 e_4 e_1 e_2 \/ product2 e_1 e_3 e_1
% 3.47/3.64  |- ~product2 e_4 e_3 $Z \/ e_1 == $Z \/ product1 e_2 e_1 e_1 \/
% 3.47/3.64     product1 e_2 e_1 e_2 \/ product1 e_2 e_1 e_3 \/ product1 e_4 e_1 e_1 \/
% 3.47/3.64     product1 e_4 e_1 e_2 \/ product2 e_1 e_3 e_1
% 3.47/3.64  |- product1 e_2 e_1 e_1 \/ product1 e_2 e_1 e_2 \/ product1 e_2 e_1 e_3 \/
% 3.47/3.64     product1 e_4 e_1 e_1 \/ product1 e_4 e_1 e_2 \/ product2 e_2 e_1 e_1 \/
% 3.47/3.64     product2 e_2 e_1 e_2 \/ product2 e_2 e_4 e_1
% 3.47/3.64  |- ~product2 $W e_4 e_1 \/ $W == e_2 \/ product1 e_2 e_1 e_1 \/
% 3.47/3.64     product1 e_2 e_1 e_2 \/ product1 e_2 e_1 e_3 \/ product1 e_4 e_1 e_1 \/
% 3.47/3.64     product1 e_4 e_1 e_2 \/ product2 e_2 e_1 e_1 \/ product2 e_2 e_1 e_2
% 3.47/3.64  |- ~product2 $Z e_4 e_1 \/ e_2 == $Z \/ product1 e_2 e_1 e_1 \/
% 3.47/3.64     product1 e_2 e_1 e_2 \/ product1 e_2 e_1 e_3 \/ product1 e_4 e_1 e_1 \/
% 3.47/3.64     product1 e_4 e_1 e_2 \/ product2 e_2 e_1 e_1 \/ product2 e_2 e_1 e_2
% 3.47/3.64  |- ~product2 e_2 $W e_1 \/ $W == e_4 \/ product1 e_2 e_1 e_1 \/
% 3.47/3.64     product1 e_2 e_1 e_2 \/ product1 e_2 e_1 e_3 \/ product1 e_4 e_1 e_1 \/
% 3.47/3.64     product1 e_4 e_1 e_2 \/ product2 e_2 e_1 e_1 \/ product2 e_2 e_1 e_2
% 3.47/3.64  |- ~product2 e_2 $Z e_1 \/ e_4 == $Z \/ product1 e_2 e_1 e_1 \/
% 3.47/3.64     product1 e_2 e_1 e_2 \/ product1 e_2 e_1 e_3 \/ product1 e_4 e_1 e_1 \/
% 3.47/3.64     product1 e_4 e_1 e_2 \/ product2 e_2 e_1 e_1 \/ product2 e_2 e_1 e_2
% 3.47/3.64  |- ~product2 e_2 e_4 $W \/ $W == e_1 \/ product1 e_2 e_1 e_1 \/
% 3.47/3.64     product1 e_2 e_1 e_2 \/ product1 e_2 e_1 e_3 \/ product1 e_4 e_1 e_1 \/
% 3.47/3.64     product1 e_4 e_1 e_2 \/ product2 e_2 e_1 e_1 \/ product2 e_2 e_1 e_2
% 3.47/3.64  |- ~product2 e_2 e_4 $Z \/ e_1 == $Z \/ product1 e_2 e_1 e_1 \/
% 3.47/3.64     product1 e_2 e_1 e_2 \/ product1 e_2 e_1 e_3 \/ product1 e_4 e_1 e_1 \/
% 3.47/3.64     product1 e_4 e_1 e_2 \/ product2 e_2 e_1 e_1 \/ product2 e_2 e_1 e_2
% 3.47/3.64  SZS output end Saturation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.47/3.64  
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