TSTP Solution File: GRP125-4.004 by Metis---2.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : GRP125-4.004 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n013.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 10:36:40 EDT 2022

% Result   : Satisfiable 31.90s 32.11s
% Output   : Saturation 32.08s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : GRP125-4.004 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.07/0.13  % Command  : metis --show proof --show saturation %s
% 0.14/0.35  % Computer : n013.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Tue Jun 14 04:27:29 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 31.90/32.11  % SZS status Satisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 31.90/32.11  
% 31.90/32.11  SZS output start Saturation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 31.90/32.11  |- ~group_element $X \/ ~group_element $Y \/ product e_1 $X $Y \/
% 31.90/32.11     product e_2 $X $Y \/ product e_3 $X $Y \/ product e_4 $X $Y
% 31.90/32.11  |- ~group_element $X \/ ~group_element $Y \/ product $X e_1 $Y \/
% 31.90/32.11     product $X e_2 $Y \/ product $X e_3 $Y \/ product $X e_4 $Y
% 31.90/32.11  |- group_element e_1
% 31.90/32.11  |- group_element e_2
% 31.90/32.11  |- group_element e_3
% 31.90/32.11  |- group_element e_4
% 31.90/32.11  |- ~(e_1 == e_2)
% 31.90/32.11  |- ~(e_1 == e_3)
% 31.90/32.11  |- ~(e_1 == e_4)
% 31.90/32.11  |- ~(e_2 == e_1)
% 31.90/32.11  |- ~(e_2 == e_3)
% 31.90/32.11  |- ~(e_2 == e_4)
% 31.90/32.11  |- ~(e_3 == e_1)
% 31.90/32.11  |- ~(e_3 == e_2)
% 31.90/32.11  |- ~(e_3 == e_4)
% 31.90/32.11  |- ~(e_4 == e_1)
% 31.90/32.11  |- ~(e_4 == e_2)
% 31.90/32.11  |- ~(e_4 == e_3)
% 31.90/32.11  |- ~group_element $X \/ ~group_element $Y \/ product $X $Y e_1 \/
% 31.90/32.11     product $X $Y e_2 \/ product $X $Y e_3 \/ product $X $Y e_4
% 31.90/32.11  |- ~product $X $Y $W \/ ~product $X $Y $Z \/ $W == $Z
% 31.90/32.11  |- ~product $X $W $Y \/ ~product $X $Z $Y \/ $W == $Z
% 31.90/32.11  |- ~product $W $Y $X \/ ~product $Z $Y $X \/ $W == $Z
% 31.90/32.11  |- product $X $X $X
% 31.90/32.11  |- ~group_element $Y \/ product e_1 $Y $Y \/ product e_2 $Y $Y \/
% 31.90/32.11     product e_3 $Y $Y \/ product e_4 $Y $Y
% 31.90/32.11  |- ~group_element $Y \/ product $Y e_1 $Y \/ product $Y e_2 $Y \/
% 31.90/32.11     product $Y e_3 $Y \/ product $Y e_4 $Y
% 31.90/32.11  |- ~group_element $Y \/ product $Y $Y e_1 \/ product $Y $Y e_2 \/
% 31.90/32.11     product $Y $Y e_3 \/ product $Y $Y e_4
% 31.90/32.11  |- ~product $Y $X $Z2 \/ ~product $Z1 $Z2 $X \/ product $X $Y $Z1
% 31.90/32.11  |- ~product $X $Y $Z1 \/ ~product $Z1 $Z2 $X \/ product $Y $X $Z2
% 31.90/32.11  |- ~product $X $Y $Z1 \/ ~product $Y $X $Z2 \/ product $Z1 $Z2 $X
% 31.90/32.11  |- ~product $Z1 $Z2 $Z2 \/ product $Z2 $Z1 $Z1
% 31.90/32.11  |- ~product $Z1 $Z2 $Z1 \/ product $Z2 $Z1 $Z2
% 31.90/32.11  |- ~product $Y $Y $Z2 \/ product $Z2 $Z2 $Y
% 31.90/32.11  |- $_9 == $_9
% 31.90/32.11  |- ~product $_11 $_11 $_14 \/ $_11 == $_14
% 31.90/32.11  |- ~product $_14 $_14 $_11 \/ $_11 == $_14
% 31.90/32.11  |- ~product $_21 $_22 $_21 \/ $_21 == $_22
% 31.90/32.11  |- ~product $_21 $_19 $_21 \/ $_19 == $_21
% 31.90/32.11  |- ~product $_30 $_28 $_28 \/ $_28 == $_30
% 31.90/32.11  |- ~product $_27 $_28 $_28 \/ $_27 == $_28
% 31.90/32.11  |- ~product $_40 $_41 $_41 \/ product $_41 $_41 $_40
% 31.90/32.11  |- ~product $_39 $_38 $_38 \/ product $_38 $_39 $_38
% 31.90/32.11  |- ~product $_48 $_49 $_48 \/ product $_48 $_48 $_49
% 31.90/32.11  |- ~product $_46 $_47 $_46 \/ product $_47 $_46 $_46
% 31.90/32.11  |- ~product $_56 $_56 $_57 \/ product $_56 $_57 $_56
% 31.90/32.11  |- ~product $_57 $_57 $_56 \/ product $_56 $_57 $_57
% 31.90/32.11  |- ~group_element $_63 \/ product e_1 e_1 $_63 \/ product e_2 e_1 $_63 \/
% 31.90/32.11     product e_3 e_1 $_63 \/ product e_4 e_1 $_63
% 31.90/32.11  |- ~group_element $_63 \/ product e_1 e_2 $_63 \/ product e_2 e_2 $_63 \/
% 31.90/32.11     product e_3 e_2 $_63 \/ product e_4 e_2 $_63
% 31.90/32.11  |- ~group_element $_63 \/ product e_1 e_3 $_63 \/ product e_2 e_3 $_63 \/
% 31.90/32.11     product e_3 e_3 $_63 \/ product e_4 e_3 $_63
% 31.90/32.11  |- ~group_element $_63 \/ product e_1 e_4 $_63 \/ product e_2 e_4 $_63 \/
% 31.90/32.11     product e_3 e_4 $_63 \/ product e_4 e_4 $_63
% 31.90/32.11  |- ~group_element $_62 \/ product e_1 $_62 e_1 \/ product e_2 $_62 e_1 \/
% 31.90/32.11     product e_3 $_62 e_1 \/ product e_4 $_62 e_1
% 31.90/32.11  |- ~group_element $_62 \/ product e_1 $_62 e_2 \/ product e_2 $_62 e_2 \/
% 31.90/32.11     product e_3 $_62 e_2 \/ product e_4 $_62 e_2
% 31.90/32.11  |- ~group_element $_62 \/ product e_1 $_62 e_3 \/ product e_2 $_62 e_3 \/
% 31.90/32.11     product e_3 $_62 e_3 \/ product e_4 $_62 e_3
% 31.90/32.11  |- ~group_element $_62 \/ product e_1 $_62 e_4 \/ product e_2 $_62 e_4 \/
% 31.90/32.11     product e_3 $_62 e_4 \/ product e_4 $_62 e_4
% 31.90/32.11  |- product e_1 e_1 e_2 \/ product e_2 e_1 e_2 \/ product e_3 e_1 e_2 \/
% 31.90/32.11     product e_4 e_1 e_2
% 31.90/32.11  |- ~product e_1 e_4 $Z1 \/ product $Z1 e_2 e_1 \/ product e_1 e_1 e_2 \/
% 31.90/32.11     product e_2 e_1 e_2 \/ product e_3 e_1 e_2
% 31.90/32.11  |- ~product e_1 e_4 $Z2 \/ product e_1 e_1 e_2 \/ product e_2 $Z2 e_4 \/
% 31.90/32.11     product e_2 e_1 e_2 \/ product e_3 e_1 e_2
% 31.90/32.11  |- ~product e_2 $Y e_4 \/ product $Y e_2 e_1 \/ product e_1 e_1 e_2 \/
% 31.90/32.11     product e_2 e_1 e_2 \/ product e_3 e_1 e_2
% 31.90/32.11  |- ~product e_2 $Z2 e_4 \/ product e_1 e_1 e_2 \/ product e_1 e_4 $Z2 \/
% 31.90/32.11     product e_2 e_1 e_2 \/ product e_3 e_1 e_2
% 31.90/32.11  |- ~product $Y e_2 e_1 \/ product e_1 e_1 e_2 \/ product e_2 $Y e_4 \/
% 31.90/32.11     product e_2 e_1 e_2 \/ product e_3 e_1 e_2
% 31.90/32.11  |- ~product $Z1 e_2 e_1 \/ product e_1 e_1 e_2 \/ product e_1 e_4 $Z1 \/
% 31.90/32.11     product e_2 e_1 e_2 \/ product e_3 e_1 e_2
% 31.90/32.11  |- ~product $W e_1 e_2 \/ $W == e_4 \/ product e_1 e_1 e_2 \/
% 31.90/32.11     product e_2 e_1 e_2 \/ product e_3 e_1 e_2
% 31.90/32.11  |- ~product $Z e_1 e_2 \/ e_4 == $Z \/ product e_1 e_1 e_2 \/
% 31.90/32.11     product e_2 e_1 e_2 \/ product e_3 e_1 e_2
% 31.90/32.11  |- ~product e_4 $W e_2 \/ $W == e_1 \/ product e_1 e_1 e_2 \/
% 31.90/32.11     product e_2 e_1 e_2 \/ product e_3 e_1 e_2
% 31.90/32.11  |- ~product e_4 $Z e_2 \/ e_1 == $Z \/ product e_1 e_1 e_2 \/
% 31.90/32.11     product e_2 e_1 e_2 \/ product e_3 e_1 e_2
% 31.90/32.12  |- ~product e_4 e_1 $W \/ $W == e_2 \/ product e_1 e_1 e_2 \/
% 31.90/32.12     product e_2 e_1 e_2 \/ product e_3 e_1 e_2
% 31.90/32.12  |- ~product e_4 e_1 $Z \/ e_2 == $Z \/ product e_1 e_1 e_2 \/
% 31.90/32.12     product e_2 e_1 e_2 \/ product e_3 e_1 e_2
% 31.90/32.12  |- product e_1 e_4 e_3 \/ product e_2 e_4 e_3
% 31.90/32.12  |- ~product $Y e_3 e_4 \/ product e_1 e_4 e_3 \/ product e_3 $Y e_2
% 31.90/32.12  |- ~product $Z1 e_3 e_4 \/ product e_1 e_4 e_3 \/ product e_4 e_2 $Z1
% 31.90/32.12  |- ~product $W e_4 e_3 \/ $W == e_2 \/ product e_1 e_4 e_3
% 31.90/32.12  |- ~product $Z e_4 e_3 \/ e_2 == $Z \/ product e_1 e_4 e_3
% 31.90/32.12  |- ~product e_2 $W e_3 \/ $W == e_4 \/ product e_1 e_4 e_3
% 31.90/32.12  |- ~product e_2 $Z e_3 \/ e_4 == $Z \/ product e_1 e_4 e_3
% 31.90/32.12  |- ~product e_2 e_4 $W \/ $W == e_3 \/ product e_1 e_4 e_3
% 31.90/32.12  |- ~product e_2 e_4 $Z \/ e_3 == $Z \/ product e_1 e_4 e_3
% 31.90/32.12  |- product e_1 e_3 e_4 \/ product e_2 e_3 e_4
% 31.90/32.12  |- ~product $Y e_4 e_3 \/ product e_1 e_3 e_4 \/ product e_4 $Y e_2
% 31.90/32.12  |- ~product $Z1 e_4 e_3 \/ product e_1 e_3 e_4 \/ product e_3 e_2 $Z1
% 31.90/32.12  |- ~product $W e_3 e_4 \/ $W == e_2 \/ product e_1 e_3 e_4
% 31.90/32.12  |- ~product $Z e_3 e_4 \/ e_2 == $Z \/ product e_1 e_3 e_4
% 31.90/32.12  |- ~product e_2 $W e_4 \/ $W == e_3 \/ product e_1 e_3 e_4
% 31.90/32.12  |- ~product e_2 $Z e_4 \/ e_3 == $Z \/ product e_1 e_3 e_4
% 31.90/32.12  |- ~product e_2 e_3 $W \/ $W == e_4 \/ product e_1 e_3 e_4
% 31.90/32.12  |- ~product e_2 e_3 $Z \/ e_4 == $Z \/ product e_1 e_3 e_4
% 31.90/32.12  |- product e_1 e_3 e_4 \/ product e_1 e_4 e_3
% 31.90/32.12  |- ~product $Y e_3 e_4 \/ product e_1 e_3 e_4 \/ product e_3 $Y e_1
% 31.90/32.12  |- ~product $Z1 e_3 e_4 \/ product e_1 e_3 e_4 \/ product e_4 e_1 $Z1
% 31.90/32.12  |- ~product $W e_4 e_3 \/ $W == e_1 \/ product e_1 e_3 e_4
% 31.90/32.12  |- ~product $Z e_4 e_3 \/ e_1 == $Z \/ product e_1 e_3 e_4
% 31.90/32.12  |- ~product e_1 $W e_3 \/ $W == e_4 \/ product e_1 e_3 e_4
% 31.90/32.12  |- ~product e_1 $Z e_3 \/ e_4 == $Z \/ product e_1 e_3 e_4
% 31.90/32.12  |- ~product e_1 e_4 $W \/ $W == e_3 \/ product e_1 e_3 e_4
% 31.90/32.12  |- ~product e_1 e_4 $Z \/ e_3 == $Z \/ product e_1 e_3 e_4
% 31.90/32.12  |- product e_1 e_3 e_4 \/ product e_4 e_1 e_2
% 31.90/32.12  |- ~product e_1 e_4 $Z1 \/ product $Z1 e_2 e_1 \/ product e_1 e_3 e_4
% 31.90/32.12  |- ~product e_1 e_4 $Z2 \/ product e_1 e_3 e_4 \/ product e_2 $Z2 e_4
% 31.90/32.12  |- ~product e_2 $Y e_4 \/ product $Y e_2 e_1 \/ product e_1 e_3 e_4
% 31.90/32.12  |- ~product e_2 $Z2 e_4 \/ product e_1 e_3 e_4 \/ product e_1 e_4 $Z2
% 31.90/32.12  |- ~product $Y e_2 e_1 \/ product e_1 e_3 e_4 \/ product e_2 $Y e_4
% 31.90/32.12  |- ~product $Z1 e_2 e_1 \/ product e_1 e_3 e_4 \/ product e_1 e_4 $Z1
% 31.90/32.12  |- ~product $W e_1 e_2 \/ $W == e_4 \/ product e_1 e_3 e_4
% 31.90/32.12  |- ~product $Z e_1 e_2 \/ e_4 == $Z \/ product e_1 e_3 e_4
% 31.90/32.12  |- ~product e_4 $W e_2 \/ $W == e_1 \/ product e_1 e_3 e_4
% 31.90/32.12  |- ~product e_4 $Z e_2 \/ e_1 == $Z \/ product e_1 e_3 e_4
% 31.90/32.12  |- ~product e_4 e_1 $W \/ $W == e_2 \/ product e_1 e_3 e_4
% 31.90/32.12  |- ~product e_4 e_1 $Z \/ e_2 == $Z \/ product e_1 e_3 e_4
% 31.90/32.12  |- product e_1 e_3 e_4 \/ product e_3 e_2 e_1
% 31.90/32.12  |- ~product e_2 e_3 $Z1 \/ product $Z1 e_1 e_2 \/ product e_1 e_3 e_4
% 31.90/32.12  |- ~product e_2 e_3 $Z2 \/ product e_1 $Z2 e_3 \/ product e_1 e_3 e_4
% 31.90/32.12  |- ~product e_1 $Y e_3 \/ product $Y e_1 e_2 \/ product e_1 e_3 e_4
% 31.90/32.12  |- ~product e_1 $Z2 e_3 \/ product e_1 e_3 e_4 \/ product e_2 e_3 $Z2
% 31.90/32.12  |- ~product $Y e_1 e_2 \/ product e_1 $Y e_3 \/ product e_1 e_3 e_4
% 31.90/32.12  |- ~product $Z1 e_1 e_2 \/ product e_1 e_3 e_4 \/ product e_2 e_3 $Z1
% 31.90/32.12  |- ~product $W e_2 e_1 \/ $W == e_3 \/ product e_1 e_3 e_4
% 31.90/32.12  |- ~product $Z e_2 e_1 \/ e_3 == $Z \/ product e_1 e_3 e_4
% 31.90/32.12  |- ~product e_3 $W e_1 \/ $W == e_2 \/ product e_1 e_3 e_4
% 31.90/32.12  |- ~product e_3 $Z e_1 \/ e_2 == $Z \/ product e_1 e_3 e_4
% 31.90/32.12  |- ~product e_3 e_2 $W \/ $W == e_1 \/ product e_1 e_3 e_4
% 31.90/32.12  |- ~product e_3 e_2 $Z \/ e_1 == $Z \/ product e_1 e_3 e_4
% 31.90/32.12  |- product e_1 e_2 e_4 \/ product e_1 e_3 e_4
% 31.90/32.12  |- ~product $Y e_4 e_3 \/ product e_1 e_2 e_4 \/ product e_4 $Y e_1
% 31.96/32.12  |- ~product $Z1 e_4 e_3 \/ product e_1 e_2 e_4 \/ product e_3 e_1 $Z1
% 31.96/32.12  |- ~product $W e_3 e_4 \/ $W == e_1 \/ product e_1 e_2 e_4
% 31.96/32.12  |- ~product $Z e_3 e_4 \/ e_1 == $Z \/ product e_1 e_2 e_4
% 31.96/32.12  |- ~product e_1 $W e_4 \/ $W == e_3 \/ product e_1 e_2 e_4
% 31.96/32.12  |- ~product e_1 $Z e_4 \/ e_3 == $Z \/ product e_1 e_2 e_4
% 31.96/32.12  |- ~product e_1 e_3 $W \/ $W == e_4 \/ product e_1 e_2 e_4
% 31.96/32.12  |- ~product e_1 e_3 $Z \/ e_4 == $Z \/ product e_1 e_2 e_4
% 31.96/32.12  |- product e_1 e_2 e_1 \/ product e_2 e_2 e_1 \/ product e_3 e_2 e_1 \/
% 31.96/32.12     product e_4 e_2 e_1
% 31.96/32.12  |- ~product e_2 e_4 $Z1 \/ product $Z1 e_1 e_2 \/ product e_1 e_2 e_1 \/
% 31.96/32.12     product e_2 e_2 e_1 \/ product e_3 e_2 e_1
% 31.96/32.12  |- ~product e_2 e_4 $Z2 \/ product e_1 $Z2 e_4 \/ product e_1 e_2 e_1 \/
% 31.96/32.12     product e_2 e_2 e_1 \/ product e_3 e_2 e_1
% 31.96/32.12  |- ~product e_1 $Y e_4 \/ product $Y e_1 e_2 \/ product e_1 e_2 e_1 \/
% 31.96/32.12     product e_2 e_2 e_1 \/ product e_3 e_2 e_1
% 31.96/32.12  |- ~product e_1 $Z2 e_4 \/ product e_1 e_2 e_1 \/ product e_2 e_2 e_1 \/
% 31.96/32.12     product e_2 e_4 $Z2 \/ product e_3 e_2 e_1
% 31.96/32.12  |- ~product $Y e_1 e_2 \/ product e_1 $Y e_4 \/ product e_1 e_2 e_1 \/
% 31.96/32.12     product e_2 e_2 e_1 \/ product e_3 e_2 e_1
% 31.96/32.12  |- ~product $Z1 e_1 e_2 \/ product e_1 e_2 e_1 \/ product e_2 e_2 e_1 \/
% 31.96/32.12     product e_2 e_4 $Z1 \/ product e_3 e_2 e_1
% 31.96/32.12  |- ~product $W e_2 e_1 \/ $W == e_4 \/ product e_1 e_2 e_1 \/
% 31.96/32.12     product e_2 e_2 e_1 \/ product e_3 e_2 e_1
% 31.96/32.12  |- ~product $Z e_2 e_1 \/ e_4 == $Z \/ product e_1 e_2 e_1 \/
% 31.96/32.12     product e_2 e_2 e_1 \/ product e_3 e_2 e_1
% 31.96/32.12  |- ~product e_4 $W e_1 \/ $W == e_2 \/ product e_1 e_2 e_1 \/
% 31.96/32.12     product e_2 e_2 e_1 \/ product e_3 e_2 e_1
% 31.96/32.12  |- ~product e_4 $Z e_1 \/ e_2 == $Z \/ product e_1 e_2 e_1 \/
% 31.96/32.12     product e_2 e_2 e_1 \/ product e_3 e_2 e_1
% 31.96/32.12  |- ~product e_4 e_2 $W \/ $W == e_1 \/ product e_1 e_2 e_1 \/
% 31.96/32.12     product e_2 e_2 e_1 \/ product e_3 e_2 e_1
% 31.96/32.12  |- ~product e_4 e_2 $Z \/ e_1 == $Z \/ product e_1 e_2 e_1 \/
% 31.96/32.12     product e_2 e_2 e_1 \/ product e_3 e_2 e_1
% 31.96/32.12  |- product e_1 e_3 e_2 \/ product e_1 e_3 e_4
% 31.96/32.12  |- ~product $Y e_4 e_3 \/ product e_1 e_3 e_2 \/ product e_4 $Y e_1
% 31.96/32.12  |- ~product $Z1 e_4 e_3 \/ product e_1 e_3 e_2 \/ product e_3 e_1 $Z1
% 31.96/32.12  |- ~product $W e_3 e_4 \/ $W == e_1 \/ product e_1 e_3 e_2
% 31.96/32.12  |- ~product $Z e_3 e_4 \/ e_1 == $Z \/ product e_1 e_3 e_2
% 31.96/32.12  |- ~product e_1 $W e_4 \/ $W == e_3 \/ product e_1 e_3 e_2
% 31.96/32.12  |- ~product e_1 $Z e_4 \/ e_3 == $Z \/ product e_1 e_3 e_2
% 31.96/32.12  |- ~product e_1 e_3 $W \/ $W == e_4 \/ product e_1 e_3 e_2
% 31.96/32.12  |- ~product e_1 e_3 $Z \/ e_4 == $Z \/ product e_1 e_3 e_2
% 31.96/32.12  |- product e_1 e_3 e_2 \/ product e_1 e_4 e_2
% 31.96/32.12  |- ~product $Y e_2 e_4 \/ product e_1 e_3 e_2 \/ product e_2 $Y e_1
% 31.96/32.12  |- ~product $Z1 e_2 e_4 \/ product e_1 e_3 e_2 \/ product e_4 e_1 $Z1
% 31.96/32.12  |- ~product $W e_4 e_2 \/ $W == e_1 \/ product e_1 e_3 e_2
% 31.96/32.12  |- ~product $Z e_4 e_2 \/ e_1 == $Z \/ product e_1 e_3 e_2
% 31.96/32.12  |- ~product e_1 $W e_2 \/ $W == e_4 \/ product e_1 e_3 e_2
% 31.96/32.12  |- ~product e_1 $Z e_2 \/ e_4 == $Z \/ product e_1 e_3 e_2
% 31.96/32.12  |- ~product e_1 e_4 $W \/ $W == e_2 \/ product e_1 e_3 e_2
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% 31.99/32.19  |- ~product e_4 e_2 $Z \/ e_3 == $Z \/ product e_2 e_1 e_4
% 31.99/32.19  |- product e_2 e_1 e_3 \/ product e_4 e_3 e_2
% 31.99/32.19  |- ~product e_3 e_4 $Z1 \/ product $Z1 e_2 e_3 \/ product e_2 e_1 e_3
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% 31.99/32.20  |- ~product e_4 e_2 $Z \/ e_1 == $Z \/ product e_2 e_4 e_2 \/
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% 31.99/32.20  |- ~product e_3 e_4 $Z1 \/ product $Z1 e_1 e_3 \/ product e_2 e_1 e_4
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% 31.99/32.20  |- ~product e_4 e_2 $Z \/ e_1 == $Z \/ product e_1 e_1 e_3 \/
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% 31.99/32.21  |- ~product e_4 e_1 $W \/ $W == e_3 \/ product e_1 e_1 e_3 \/
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% 31.99/32.21  |- ~product e_4 e_2 $W \/ $W == e_1 \/ product e_1 e_1 e_4 \/
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% 31.99/32.21  |- ~product e_4 e_2 $Z \/ e_1 == $Z \/ product e_1 e_1 e_4 \/
% 31.99/32.21     product e_3 e_1 e_4 \/ product e_4 e_1 e_1
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% 31.99/32.21  |- ~product e_4 e_1 $W \/ $W == e_3 \/ product e_1 e_1 e_4 \/
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% 31.99/32.22  |- ~product e_4 e_2 $Z \/ e_1 == $Z \/ product e_2 e_1 e_3
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% 31.99/32.22  |- ~product e_1 e_4 $Z1 \/ product $Z1 e_3 e_1 \/ product e_2 e_1 e_3
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% 31.99/32.22     product e_4 e_1 e_1
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% 32.08/32.24     product e_4 e_1 e_1
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% 32.08/32.25     product e_2 e_4 e_4 \/ product e_3 e_1 e_1 \/ product e_3 e_2 e_1 \/
% 32.08/32.25     product e_3 e_3 e_1
% 32.08/32.25  |- ~product $Z1 e_1 e_2 \/ product e_1 e_1 e_4 \/ product e_2 e_4 $Z1 \/
% 32.08/32.25     product e_2 e_4 e_4 \/ product e_3 e_1 e_1 \/ product e_3 e_2 e_1 \/
% 32.08/32.25     product e_3 e_3 e_1
% 32.08/32.25  |- ~product $W e_2 e_1 \/ $W == e_4 \/ product e_1 e_1 e_4 \/
% 32.08/32.25     product e_2 e_4 e_4 \/ product e_3 e_1 e_1 \/ product e_3 e_2 e_1 \/
% 32.08/32.25     product e_3 e_3 e_1
% 32.08/32.25  |- ~product $Z e_2 e_1 \/ e_4 == $Z \/ product e_1 e_1 e_4 \/
% 32.08/32.25     product e_2 e_4 e_4 \/ product e_3 e_1 e_1 \/ product e_3 e_2 e_1 \/
% 32.08/32.25     product e_3 e_3 e_1
% 32.08/32.25  |- ~product e_4 $W e_1 \/ $W == e_2 \/ product e_1 e_1 e_4 \/
% 32.08/32.25     product e_2 e_4 e_4 \/ product e_3 e_1 e_1 \/ product e_3 e_2 e_1 \/
% 32.08/32.25     product e_3 e_3 e_1
% 32.08/32.25  |- ~product e_4 $Z e_1 \/ e_2 == $Z \/ product e_1 e_1 e_4 \/
% 32.08/32.25     product e_2 e_4 e_4 \/ product e_3 e_1 e_1 \/ product e_3 e_2 e_1 \/
% 32.08/32.25     product e_3 e_3 e_1
% 32.08/32.25  |- ~product e_4 e_2 $W \/ $W == e_1 \/ product e_1 e_1 e_4 \/
% 32.08/32.25     product e_2 e_4 e_4 \/ product e_3 e_1 e_1 \/ product e_3 e_2 e_1 \/
% 32.08/32.25     product e_3 e_3 e_1
% 32.08/32.25  |- ~product e_4 e_2 $Z \/ e_1 == $Z \/ product e_1 e_1 e_4 \/
% 32.08/32.25     product e_2 e_4 e_4 \/ product e_3 e_1 e_1 \/ product e_3 e_2 e_1 \/
% 32.08/32.25     product e_3 e_3 e_1
% 32.08/32.25  |- product e_1 e_1 e_3 \/ product e_3 e_2 e_1 \/ product e_3 e_2 e_2 \/
% 32.08/32.25     product e_3 e_2 e_3 \/ product e_3 e_4 e_4 \/ product e_4 e_2 e_1
% 32.08/32.25  |- ~product e_2 e_4 $Z1 \/ product $Z1 e_1 e_2 \/ product e_1 e_1 e_3 \/
% 32.08/32.25     product e_3 e_2 e_1 \/ product e_3 e_2 e_2 \/ product e_3 e_2 e_3 \/
% 32.08/32.25     product e_3 e_4 e_4
% 32.08/32.25  |- ~product e_2 e_4 $Z2 \/ product e_1 $Z2 e_4 \/ product e_1 e_1 e_3 \/
% 32.08/32.25     product e_3 e_2 e_1 \/ product e_3 e_2 e_2 \/ product e_3 e_2 e_3 \/
% 32.08/32.25     product e_3 e_4 e_4
% 32.08/32.25  |- ~product e_1 $Y e_4 \/ product $Y e_1 e_2 \/ product e_1 e_1 e_3 \/
% 32.08/32.25     product e_3 e_2 e_1 \/ product e_3 e_2 e_2 \/ product e_3 e_2 e_3 \/
% 32.08/32.25     product e_3 e_4 e_4
% 32.08/32.25  |- ~product e_1 $Z2 e_4 \/ product e_1 e_1 e_3 \/ product e_2 e_4 $Z2 \/
% 32.08/32.25     product e_3 e_2 e_1 \/ product e_3 e_2 e_2 \/ product e_3 e_2 e_3 \/
% 32.08/32.25     product e_3 e_4 e_4
% 32.08/32.25  |- ~product $Y e_1 e_2 \/ product e_1 $Y e_4 \/ product e_1 e_1 e_3 \/
% 32.08/32.25     product e_3 e_2 e_1 \/ product e_3 e_2 e_2 \/ product e_3 e_2 e_3 \/
% 32.08/32.25     product e_3 e_4 e_4
% 32.08/32.25  |- ~product $Z1 e_1 e_2 \/ product e_1 e_1 e_3 \/ product e_2 e_4 $Z1 \/
% 32.08/32.25     product e_3 e_2 e_1 \/ product e_3 e_2 e_2 \/ product e_3 e_2 e_3 \/
% 32.08/32.25     product e_3 e_4 e_4
% 32.08/32.25  |- ~product $W e_2 e_1 \/ $W == e_4 \/ product e_1 e_1 e_3 \/
% 32.08/32.25     product e_3 e_2 e_1 \/ product e_3 e_2 e_2 \/ product e_3 e_2 e_3 \/
% 32.08/32.25     product e_3 e_4 e_4
% 32.08/32.25  |- ~product $Z e_2 e_1 \/ e_4 == $Z \/ product e_1 e_1 e_3 \/
% 32.08/32.25     product e_3 e_2 e_1 \/ product e_3 e_2 e_2 \/ product e_3 e_2 e_3 \/
% 32.08/32.25     product e_3 e_4 e_4
% 32.08/32.25  |- ~product e_4 $W e_1 \/ $W == e_2 \/ product e_1 e_1 e_3 \/
% 32.08/32.25     product e_3 e_2 e_1 \/ product e_3 e_2 e_2 \/ product e_3 e_2 e_3 \/
% 32.08/32.25     product e_3 e_4 e_4
% 32.08/32.25  |- ~product e_4 $Z e_1 \/ e_2 == $Z \/ product e_1 e_1 e_3 \/
% 32.08/32.25     product e_3 e_2 e_1 \/ product e_3 e_2 e_2 \/ product e_3 e_2 e_3 \/
% 32.08/32.25     product e_3 e_4 e_4
% 32.08/32.25  |- ~product e_4 e_2 $W \/ $W == e_1 \/ product e_1 e_1 e_3 \/
% 32.08/32.25     product e_3 e_2 e_1 \/ product e_3 e_2 e_2 \/ product e_3 e_2 e_3 \/
% 32.08/32.25     product e_3 e_4 e_4
% 32.08/32.25  |- ~product e_4 e_2 $Z \/ e_1 == $Z \/ product e_1 e_1 e_3 \/
% 32.08/32.25     product e_3 e_2 e_1 \/ product e_3 e_2 e_2 \/ product e_3 e_2 e_3 \/
% 32.08/32.25     product e_3 e_4 e_4
% 32.08/32.25  |- product e_1 e_1 e_3 \/ product e_3 e_1 e_1 \/ product e_3 e_2 e_1 \/
% 32.08/32.25     product e_3 e_3 e_1 \/ product e_3 e_4 e_4 \/ product e_4 e_2 e_1
% 32.08/32.25  |- ~product e_2 e_4 $Z1 \/ product $Z1 e_1 e_2 \/ product e_1 e_1 e_3 \/
% 32.08/32.25     product e_3 e_1 e_1 \/ product e_3 e_2 e_1 \/ product e_3 e_3 e_1 \/
% 32.08/32.25     product e_3 e_4 e_4
% 32.08/32.25  |- ~product e_2 e_4 $Z2 \/ product e_1 $Z2 e_4 \/ product e_1 e_1 e_3 \/
% 32.08/32.25     product e_3 e_1 e_1 \/ product e_3 e_2 e_1 \/ product e_3 e_3 e_1 \/
% 32.08/32.25     product e_3 e_4 e_4
% 32.08/32.25  |- ~product e_1 $Y e_4 \/ product $Y e_1 e_2 \/ product e_1 e_1 e_3 \/
% 32.08/32.25     product e_3 e_1 e_1 \/ product e_3 e_2 e_1 \/ product e_3 e_3 e_1 \/
% 32.08/32.25     product e_3 e_4 e_4
% 32.08/32.25  |- ~product e_1 $Z2 e_4 \/ product e_1 e_1 e_3 \/ product e_2 e_4 $Z2 \/
% 32.08/32.25     product e_3 e_1 e_1 \/ product e_3 e_2 e_1 \/ product e_3 e_3 e_1 \/
% 32.08/32.25     product e_3 e_4 e_4
% 32.08/32.25  |- ~product $Y e_1 e_2 \/ product e_1 $Y e_4 \/ product e_1 e_1 e_3 \/
% 32.08/32.25     product e_3 e_1 e_1 \/ product e_3 e_2 e_1 \/ product e_3 e_3 e_1 \/
% 32.08/32.25     product e_3 e_4 e_4
% 32.08/32.25  |- ~product $Z1 e_1 e_2 \/ product e_1 e_1 e_3 \/ product e_2 e_4 $Z1 \/
% 32.08/32.25     product e_3 e_1 e_1 \/ product e_3 e_2 e_1 \/ product e_3 e_3 e_1 \/
% 32.08/32.25     product e_3 e_4 e_4
% 32.08/32.25  |- ~product $W e_2 e_1 \/ $W == e_4 \/ product e_1 e_1 e_3 \/
% 32.08/32.25     product e_3 e_1 e_1 \/ product e_3 e_2 e_1 \/ product e_3 e_3 e_1 \/
% 32.08/32.25     product e_3 e_4 e_4
% 32.08/32.25  |- ~product $Z e_2 e_1 \/ e_4 == $Z \/ product e_1 e_1 e_3 \/
% 32.08/32.25     product e_3 e_1 e_1 \/ product e_3 e_2 e_1 \/ product e_3 e_3 e_1 \/
% 32.08/32.25     product e_3 e_4 e_4
% 32.08/32.25  |- ~product e_4 $W e_1 \/ $W == e_2 \/ product e_1 e_1 e_3 \/
% 32.08/32.25     product e_3 e_1 e_1 \/ product e_3 e_2 e_1 \/ product e_3 e_3 e_1 \/
% 32.08/32.25     product e_3 e_4 e_4
% 32.08/32.25  |- ~product e_4 $Z e_1 \/ e_2 == $Z \/ product e_1 e_1 e_3 \/
% 32.08/32.25     product e_3 e_1 e_1 \/ product e_3 e_2 e_1 \/ product e_3 e_3 e_1 \/
% 32.08/32.25     product e_3 e_4 e_4
% 32.08/32.25  |- ~product e_4 e_2 $W \/ $W == e_1 \/ product e_1 e_1 e_3 \/
% 32.08/32.25     product e_3 e_1 e_1 \/ product e_3 e_2 e_1 \/ product e_3 e_3 e_1 \/
% 32.08/32.25     product e_3 e_4 e_4
% 32.08/32.25  |- ~product e_4 e_2 $Z \/ e_1 == $Z \/ product e_1 e_1 e_3 \/
% 32.08/32.25     product e_3 e_1 e_1 \/ product e_3 e_2 e_1 \/ product e_3 e_3 e_1 \/
% 32.08/32.25     product e_3 e_4 e_4
% 32.08/32.25  |- product e_1 e_1 e_4 \/ product e_3 e_2 e_1 \/ product e_3 e_2 e_2 \/
% 32.08/32.25     product e_3 e_2 e_3 \/ product e_3 e_4 e_4 \/ product e_4 e_2 e_1
% 32.08/32.25  |- ~product e_2 e_4 $Z1 \/ product $Z1 e_1 e_2 \/ product e_1 e_1 e_4 \/
% 32.08/32.25     product e_3 e_2 e_1 \/ product e_3 e_2 e_2 \/ product e_3 e_2 e_3 \/
% 32.08/32.25     product e_3 e_4 e_4
% 32.08/32.25  |- ~product e_2 e_4 $Z2 \/ product e_1 $Z2 e_4 \/ product e_1 e_1 e_4 \/
% 32.08/32.25     product e_3 e_2 e_1 \/ product e_3 e_2 e_2 \/ product e_3 e_2 e_3 \/
% 32.08/32.25     product e_3 e_4 e_4
% 32.08/32.25  |- ~product e_1 $Y e_4 \/ product $Y e_1 e_2 \/ product e_1 e_1 e_4 \/
% 32.08/32.25     product e_3 e_2 e_1 \/ product e_3 e_2 e_2 \/ product e_3 e_2 e_3 \/
% 32.08/32.25     product e_3 e_4 e_4
% 32.08/32.25  |- ~product e_1 $Z2 e_4 \/ product e_1 e_1 e_4 \/ product e_2 e_4 $Z2 \/
% 32.08/32.25     product e_3 e_2 e_1 \/ product e_3 e_2 e_2 \/ product e_3 e_2 e_3 \/
% 32.08/32.25     product e_3 e_4 e_4
% 32.08/32.25  |- ~product $Y e_1 e_2 \/ product e_1 $Y e_4 \/ product e_1 e_1 e_4 \/
% 32.08/32.25     product e_3 e_2 e_1 \/ product e_3 e_2 e_2 \/ product e_3 e_2 e_3 \/
% 32.08/32.25     product e_3 e_4 e_4
% 32.08/32.25  |- ~product $Z1 e_1 e_2 \/ product e_1 e_1 e_4 \/ product e_2 e_4 $Z1 \/
% 32.08/32.25     product e_3 e_2 e_1 \/ product e_3 e_2 e_2 \/ product e_3 e_2 e_3 \/
% 32.08/32.25     product e_3 e_4 e_4
% 32.08/32.25  |- ~product $W e_2 e_1 \/ $W == e_4 \/ product e_1 e_1 e_4 \/
% 32.08/32.25     product e_3 e_2 e_1 \/ product e_3 e_2 e_2 \/ product e_3 e_2 e_3 \/
% 32.08/32.25     product e_3 e_4 e_4
% 32.08/32.25  |- ~product $Z e_2 e_1 \/ e_4 == $Z \/ product e_1 e_1 e_4 \/
% 32.08/32.25     product e_3 e_2 e_1 \/ product e_3 e_2 e_2 \/ product e_3 e_2 e_3 \/
% 32.08/32.25     product e_3 e_4 e_4
% 32.08/32.25  |- ~product e_4 $W e_1 \/ $W == e_2 \/ product e_1 e_1 e_4 \/
% 32.08/32.25     product e_3 e_2 e_1 \/ product e_3 e_2 e_2 \/ product e_3 e_2 e_3 \/
% 32.08/32.25     product e_3 e_4 e_4
% 32.08/32.25  |- ~product e_4 $Z e_1 \/ e_2 == $Z \/ product e_1 e_1 e_4 \/
% 32.08/32.25     product e_3 e_2 e_1 \/ product e_3 e_2 e_2 \/ product e_3 e_2 e_3 \/
% 32.08/32.25     product e_3 e_4 e_4
% 32.08/32.25  |- ~product e_4 e_2 $W \/ $W == e_1 \/ product e_1 e_1 e_4 \/
% 32.08/32.25     product e_3 e_2 e_1 \/ product e_3 e_2 e_2 \/ product e_3 e_2 e_3 \/
% 32.08/32.25     product e_3 e_4 e_4
% 32.08/32.25  |- ~product e_4 e_2 $Z \/ e_1 == $Z \/ product e_1 e_1 e_4 \/
% 32.08/32.25     product e_3 e_2 e_1 \/ product e_3 e_2 e_2 \/ product e_3 e_2 e_3 \/
% 32.08/32.25     product e_3 e_4 e_4
% 32.08/32.25  |- product e_1 e_1 e_4 \/ product e_3 e_1 e_1 \/ product e_3 e_2 e_1 \/
% 32.08/32.25     product e_3 e_3 e_1 \/ product e_3 e_4 e_4 \/ product e_4 e_2 e_1
% 32.08/32.25  |- ~product e_2 e_4 $Z1 \/ product $Z1 e_1 e_2 \/ product e_1 e_1 e_4 \/
% 32.08/32.25     product e_3 e_1 e_1 \/ product e_3 e_2 e_1 \/ product e_3 e_3 e_1 \/
% 32.08/32.25     product e_3 e_4 e_4
% 32.08/32.25  |- ~product e_2 e_4 $Z2 \/ product e_1 $Z2 e_4 \/ product e_1 e_1 e_4 \/
% 32.08/32.25     product e_3 e_1 e_1 \/ product e_3 e_2 e_1 \/ product e_3 e_3 e_1 \/
% 32.08/32.25     product e_3 e_4 e_4
% 32.08/32.25  |- ~product e_1 $Y e_4 \/ product $Y e_1 e_2 \/ product e_1 e_1 e_4 \/
% 32.08/32.25     product e_3 e_1 e_1 \/ product e_3 e_2 e_1 \/ product e_3 e_3 e_1 \/
% 32.08/32.25     product e_3 e_4 e_4
% 32.08/32.25  |- ~product e_1 $Z2 e_4 \/ product e_1 e_1 e_4 \/ product e_2 e_4 $Z2 \/
% 32.08/32.25     product e_3 e_1 e_1 \/ product e_3 e_2 e_1 \/ product e_3 e_3 e_1 \/
% 32.08/32.25     product e_3 e_4 e_4
% 32.08/32.25  |- ~product $Y e_1 e_2 \/ product e_1 $Y e_4 \/ product e_1 e_1 e_4 \/
% 32.08/32.25     product e_3 e_1 e_1 \/ product e_3 e_2 e_1 \/ product e_3 e_3 e_1 \/
% 32.08/32.25     product e_3 e_4 e_4
% 32.08/32.25  |- ~product $Z1 e_1 e_2 \/ product e_1 e_1 e_4 \/ product e_2 e_4 $Z1 \/
% 32.08/32.25     product e_3 e_1 e_1 \/ product e_3 e_2 e_1 \/ product e_3 e_3 e_1 \/
% 32.08/32.25     product e_3 e_4 e_4
% 32.08/32.25  |- ~product $W e_2 e_1 \/ $W == e_4 \/ product e_1 e_1 e_4 \/
% 32.08/32.25     product e_3 e_1 e_1 \/ product e_3 e_2 e_1 \/ product e_3 e_3 e_1 \/
% 32.08/32.25     product e_3 e_4 e_4
% 32.08/32.25  |- ~product $Z e_2 e_1 \/ e_4 == $Z \/ product e_1 e_1 e_4 \/
% 32.08/32.25     product e_3 e_1 e_1 \/ product e_3 e_2 e_1 \/ product e_3 e_3 e_1 \/
% 32.08/32.25     product e_3 e_4 e_4
% 32.08/32.25  |- ~product e_4 $W e_1 \/ $W == e_2 \/ product e_1 e_1 e_4 \/
% 32.08/32.25     product e_3 e_1 e_1 \/ product e_3 e_2 e_1 \/ product e_3 e_3 e_1 \/
% 32.08/32.25     product e_3 e_4 e_4
% 32.08/32.25  |- ~product e_4 $Z e_1 \/ e_2 == $Z \/ product e_1 e_1 e_4 \/
% 32.08/32.25     product e_3 e_1 e_1 \/ product e_3 e_2 e_1 \/ product e_3 e_3 e_1 \/
% 32.08/32.25     product e_3 e_4 e_4
% 32.08/32.25  |- ~product e_4 e_2 $W \/ $W == e_1 \/ product e_1 e_1 e_4 \/
% 32.08/32.25     product e_3 e_1 e_1 \/ product e_3 e_2 e_1 \/ product e_3 e_3 e_1 \/
% 32.08/32.25     product e_3 e_4 e_4
% 32.08/32.25  |- ~product e_4 e_2 $Z \/ e_1 == $Z \/ product e_1 e_1 e_4 \/
% 32.08/32.25     product e_3 e_1 e_1 \/ product e_3 e_2 e_1 \/ product e_3 e_3 e_1 \/
% 32.08/32.25     product e_3 e_4 e_4
% 32.08/32.25  SZS output end Saturation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 32.08/32.25  
%------------------------------------------------------------------------------