TSTP Solution File: GRP128-2.004 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GRP128-2.004 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 10:36:46 EDT 2022
% Result : Satisfiable 8.09s 8.28s
% Output : Saturation 8.09s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.10 % Problem : GRP128-2.004 : TPTP v8.1.0. Released v1.2.0.
% 0.08/0.10 % Command : metis --show proof --show saturation %s
% 0.10/0.30 % Computer : n021.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 600
% 0.10/0.31 % DateTime : Mon Jun 13 15:29:27 EDT 2022
% 0.10/0.31 % CPUTime :
% 0.10/0.31 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 8.09/8.28 % SZS status Satisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.09/8.28
% 8.09/8.28 SZS output start Saturation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.09/8.28 |- next e_1 e_2
% 8.09/8.28 |- next e_2 e_3
% 8.09/8.28 |- next e_3 e_4
% 8.09/8.28 |- greater e_2 e_1
% 8.09/8.28 |- greater e_3 e_1
% 8.09/8.28 |- greater e_4 e_1
% 8.09/8.28 |- greater e_3 e_2
% 8.09/8.28 |- greater e_4 e_2
% 8.09/8.28 |- greater e_4 e_3
% 8.09/8.28 |- ~greater $Y $X1 \/ ~next $X $X1 \/ ~product $X e_1 $Y
% 8.09/8.28 |- group_element e_1
% 8.09/8.28 |- group_element e_2
% 8.09/8.28 |- group_element e_3
% 8.09/8.28 |- group_element e_4
% 8.09/8.28 |- ~(e_1 == e_2)
% 8.09/8.28 |- ~(e_1 == e_3)
% 8.09/8.28 |- ~(e_1 == e_4)
% 8.09/8.28 |- ~(e_2 == e_1)
% 8.09/8.29 |- ~(e_2 == e_3)
% 8.09/8.29 |- ~(e_2 == e_4)
% 8.09/8.29 |- ~(e_3 == e_1)
% 8.09/8.29 |- ~(e_3 == e_2)
% 8.09/8.29 |- ~(e_3 == e_4)
% 8.09/8.29 |- ~(e_4 == e_1)
% 8.09/8.29 |- ~(e_4 == e_2)
% 8.09/8.29 |- ~(e_4 == e_3)
% 8.09/8.29 |- ~group_element $X \/ ~group_element $Y \/ product $X $Y e_1 \/
% 8.09/8.29 product $X $Y e_2 \/ product $X $Y e_3 \/ product $X $Y e_4
% 8.09/8.29 |- ~product $X $Y $W \/ ~product $X $Y $Z \/ $W == $Z
% 8.09/8.29 |- ~product $X $W $Y \/ ~product $X $Z $Y \/ $W == $Z
% 8.09/8.29 |- ~product $W $Y $X \/ ~product $Z $Y $X \/ $W == $Z
% 8.09/8.29 |- ~product $X $Y $Z \/ $Z == $Z
% 8.09/8.29 |- ~product $X $Z $Y \/ $Z == $Z
% 8.09/8.29 |- ~product $Z $Y $X \/ $Z == $Z
% 8.09/8.29 |- ~group_element $Y \/ product $Y $Y e_1 \/ product $Y $Y e_2 \/
% 8.09/8.29 product $Y $Y e_3 \/ product $Y $Y e_4
% 8.09/8.29 |- ~product $X $Y $Z1 \/ ~product $Z1 $Y $Z2 \/ product $X $Z1 $Z2
% 8.09/8.29 |- ~product $Z2 $Y $Z2 \/ product $Z2 $Z2 $Z2
% 8.09/8.29 |- product e_4 e_4 e_1 \/ product e_4 e_4 e_2 \/ product e_4 e_4 e_3 \/
% 8.09/8.29 product e_4 e_4 e_4
% 8.09/8.29 |- ~product $W e_4 e_4 \/ $W == e_4 \/ product e_4 e_4 e_1 \/
% 8.09/8.29 product e_4 e_4 e_2 \/ product e_4 e_4 e_3
% 8.09/8.29 |- ~product $Z e_4 e_4 \/ e_4 == $Z \/ product e_4 e_4 e_1 \/
% 8.09/8.29 product e_4 e_4 e_2 \/ product e_4 e_4 e_3
% 8.09/8.29 |- ~product e_4 $W e_4 \/ $W == e_4 \/ product e_4 e_4 e_1 \/
% 8.09/8.29 product e_4 e_4 e_2 \/ product e_4 e_4 e_3
% 8.09/8.29 |- ~product e_4 $Z e_4 \/ e_4 == $Z \/ product e_4 e_4 e_1 \/
% 8.09/8.29 product e_4 e_4 e_2 \/ product e_4 e_4 e_3
% 8.09/8.29 |- ~product e_4 e_4 $W \/ $W == e_4 \/ product e_4 e_4 e_1 \/
% 8.09/8.29 product e_4 e_4 e_2 \/ product e_4 e_4 e_3
% 8.09/8.29 |- ~product e_4 e_4 $Z \/ e_4 == $Z \/ product e_4 e_4 e_1 \/
% 8.09/8.29 product e_4 e_4 e_2 \/ product e_4 e_4 e_3
% 8.09/8.29 |- e_4 == e_4
% 8.09/8.29 |- e_2 == e_2
% 8.09/8.29 |- e_3 == e_3
% 8.09/8.29 |- e_1 == e_1
% 8.09/8.29 |- ~group_element $_35 \/ product e_1 $_35 e_1 \/ product e_1 $_35 e_2 \/
% 8.09/8.29 product e_1 $_35 e_3 \/ product e_1 $_35 e_4
% 8.09/8.29 |- ~group_element $_35 \/ product e_2 $_35 e_1 \/ product e_2 $_35 e_2 \/
% 8.09/8.29 product e_2 $_35 e_3 \/ product e_2 $_35 e_4
% 8.09/8.29 |- ~group_element $_35 \/ product e_3 $_35 e_1 \/ product e_3 $_35 e_2 \/
% 8.09/8.29 product e_3 $_35 e_3 \/ product e_3 $_35 e_4
% 8.09/8.29 |- ~group_element $_35 \/ product e_4 $_35 e_1 \/ product e_4 $_35 e_2 \/
% 8.09/8.29 product e_4 $_35 e_3 \/ product e_4 $_35 e_4
% 8.09/8.29 |- ~group_element $_34 \/ product $_34 e_1 e_1 \/ product $_34 e_1 e_2 \/
% 8.09/8.29 product $_34 e_1 e_3 \/ product $_34 e_1 e_4
% 8.09/8.29 |- ~group_element $_34 \/ product $_34 e_2 e_1 \/ product $_34 e_2 e_2 \/
% 8.09/8.29 product $_34 e_2 e_3 \/ product $_34 e_2 e_4
% 8.09/8.29 |- ~group_element $_34 \/ product $_34 e_3 e_1 \/ product $_34 e_3 e_2 \/
% 8.09/8.29 product $_34 e_3 e_3 \/ product $_34 e_3 e_4
% 8.09/8.29 |- ~group_element $_34 \/ product $_34 e_4 e_1 \/ product $_34 e_4 e_2 \/
% 8.09/8.29 product $_34 e_4 e_3 \/ product $_34 e_4 e_4
% 8.09/8.29 |- product e_4 e_3 e_1 \/ product e_4 e_3 e_2 \/ product e_4 e_3 e_3
% 8.09/8.29 |- ~product $X e_3 e_4 \/ product $X e_4 e_3 \/ product e_4 e_3 e_1 \/
% 8.09/8.29 product e_4 e_3 e_2
% 8.09/8.29 |- ~product e_3 e_3 $Z2 \/ product e_4 e_3 $Z2 \/ product e_4 e_3 e_1 \/
% 8.09/8.29 product e_4 e_3 e_2
% 8.09/8.29 |- ~product $W e_3 e_3 \/ $W == e_4 \/ product e_4 e_3 e_1 \/
% 8.09/8.29 product e_4 e_3 e_2
% 8.09/8.29 |- ~product $Z e_3 e_3 \/ e_4 == $Z \/ product e_4 e_3 e_1 \/
% 8.09/8.29 product e_4 e_3 e_2
% 8.09/8.29 |- ~product e_4 $W e_3 \/ $W == e_3 \/ product e_4 e_3 e_1 \/
% 8.09/8.29 product e_4 e_3 e_2
% 8.09/8.29 |- ~product e_4 $Z e_3 \/ e_3 == $Z \/ product e_4 e_3 e_1 \/
% 8.09/8.29 product e_4 e_3 e_2
% 8.09/8.29 |- ~product e_4 e_3 $W \/ $W == e_3 \/ product e_4 e_3 e_1 \/
% 8.09/8.29 product e_4 e_3 e_2
% 8.09/8.29 |- ~product e_4 e_3 $Z \/ e_3 == $Z \/ product e_4 e_3 e_1 \/
% 8.09/8.29 product e_4 e_3 e_2
% 8.09/8.29 |- product e_1 e_1 e_1
% 8.09/8.29 |- ~product $W e_1 e_1 \/ $W == e_1
% 8.09/8.29 |- ~product $Z e_1 e_1 \/ e_1 == $Z
% 8.09/8.29 |- ~product e_1 $W e_1 \/ $W == e_1
% 8.09/8.29 |- ~product e_1 $Z e_1 \/ e_1 == $Z
% 8.09/8.29 |- ~product e_1 e_1 $W \/ $W == e_1
% 8.09/8.29 |- ~product e_1 e_1 $Z \/ e_1 == $Z
% 8.09/8.29 |- ~greater e_1 $X1 \/ ~next e_1 $X1
% 8.09/8.29 |- ~greater e_1 e_2
% 8.09/8.29 |- product e_4 e_2 e_1 \/ product e_4 e_2 e_2 \/ product e_4 e_2 e_3
% 8.09/8.29 |- ~product $X e_2 e_4 \/ product $X e_4 e_3 \/ product e_4 e_2 e_1 \/
% 8.09/8.29 product e_4 e_2 e_2
% 8.09/8.29 |- ~product e_3 e_2 $Z2 \/ product e_4 e_2 e_1 \/ product e_4 e_2 e_2 \/
% 8.09/8.29 product e_4 e_3 $Z2
% 8.09/8.29 |- ~product $W e_2 e_3 \/ $W == e_4 \/ product e_4 e_2 e_1 \/
% 8.09/8.29 product e_4 e_2 e_2
% 8.09/8.29 |- ~product $Z e_2 e_3 \/ e_4 == $Z \/ product e_4 e_2 e_1 \/
% 8.09/8.29 product e_4 e_2 e_2
% 8.09/8.29 |- ~product e_4 $W e_3 \/ $W == e_2 \/ product e_4 e_2 e_1 \/
% 8.09/8.29 product e_4 e_2 e_2
% 8.09/8.29 |- ~product e_4 $Z e_3 \/ e_2 == $Z \/ product e_4 e_2 e_1 \/
% 8.09/8.29 product e_4 e_2 e_2
% 8.09/8.29 |- ~product e_4 e_2 $W \/ $W == e_3 \/ product e_4 e_2 e_1 \/
% 8.09/8.29 product e_4 e_2 e_2
% 8.09/8.29 |- ~product e_4 e_2 $Z \/ e_3 == $Z \/ product e_4 e_2 e_1 \/
% 8.09/8.29 product e_4 e_2 e_2
% 8.09/8.29 |- product e_2 e_2 e_1 \/ product e_2 e_2 e_2
% 8.09/8.29 |- ~product $W e_2 e_2 \/ $W == e_2 \/ product e_2 e_2 e_1
% 8.09/8.29 |- ~product $Z e_2 e_2 \/ e_2 == $Z \/ product e_2 e_2 e_1
% 8.09/8.29 |- ~product e_2 $W e_2 \/ $W == e_2 \/ product e_2 e_2 e_1
% 8.09/8.29 |- ~product e_2 $Z e_2 \/ e_2 == $Z \/ product e_2 e_2 e_1
% 8.09/8.29 |- ~product e_2 e_2 $W \/ $W == e_2 \/ product e_2 e_2 e_1
% 8.09/8.29 |- ~product e_2 e_2 $Z \/ e_2 == $Z \/ product e_2 e_2 e_1
% 8.09/8.29 |- product e_1 e_3 e_2
% 8.09/8.29 |- ~product $X e_3 e_1 \/ product $X e_1 e_2
% 8.09/8.29 |- ~product $W e_3 e_2 \/ $W == e_1
% 8.09/8.29 |- ~product $Z e_3 e_2 \/ e_1 == $Z
% 8.09/8.29 |- ~product e_1 $W e_2 \/ $W == e_3
% 8.09/8.29 |- ~product e_1 $Z e_2 \/ e_3 == $Z
% 8.09/8.29 |- ~product e_1 e_3 $W \/ $W == e_2
% 8.09/8.29 |- ~product e_1 e_3 $Z \/ e_2 == $Z
% 8.09/8.29 |- product e_4 e_2 e_1 \/ product e_4 e_2 e_2 \/ product e_4 e_3 e_1
% 8.09/8.29 |- product e_1 e_2 e_4
% 8.09/8.29 |- ~product $X e_2 e_1 \/ product $X e_1 e_4
% 8.09/8.29 |- ~product $W e_2 e_4 \/ $W == e_1
% 8.09/8.29 |- ~product $Z e_2 e_4 \/ e_1 == $Z
% 8.09/8.29 |- ~product e_1 $W e_4 \/ $W == e_2
% 8.09/8.29 |- ~product e_1 $Z e_4 \/ e_2 == $Z
% 8.09/8.29 |- ~product e_1 e_2 $W \/ $W == e_4
% 8.09/8.29 |- ~product e_1 e_2 $Z \/ e_4 == $Z
% 8.09/8.29 |- ~product $X e_3 e_4 \/ product $X e_4 e_1 \/ product e_4 e_2 e_1 \/
% 8.09/8.29 product e_4 e_2 e_2
% 8.09/8.29 |- ~product e_1 e_3 $Z2 \/ product e_4 e_1 $Z2 \/ product e_4 e_2 e_1 \/
% 8.09/8.29 product e_4 e_2 e_2
% 8.09/8.29 |- ~product $W e_3 e_1 \/ $W == e_4 \/ product e_4 e_2 e_1 \/
% 8.09/8.29 product e_4 e_2 e_2
% 8.09/8.29 |- ~product $Z e_3 e_1 \/ e_4 == $Z \/ product e_4 e_2 e_1 \/
% 8.09/8.29 product e_4 e_2 e_2
% 8.09/8.29 |- ~product e_4 $W e_1 \/ $W == e_3 \/ product e_4 e_2 e_1 \/
% 8.09/8.29 product e_4 e_2 e_2
% 8.09/8.29 |- ~product e_4 $Z e_1 \/ e_3 == $Z \/ product e_4 e_2 e_1 \/
% 8.09/8.29 product e_4 e_2 e_2
% 8.09/8.29 |- ~product e_4 e_3 $W \/ $W == e_1 \/ product e_4 e_2 e_1 \/
% 8.09/8.29 product e_4 e_2 e_2
% 8.09/8.29 |- ~product e_4 e_3 $Z \/ e_1 == $Z \/ product e_4 e_2 e_1 \/
% 8.09/8.29 product e_4 e_2 e_2
% 8.09/8.29 |- product e_4 e_1 e_2 \/ product e_4 e_2 e_1 \/ product e_4 e_2 e_2
% 8.09/8.29 |- product e_4 e_1 e_1 \/ product e_4 e_1 e_2
% 8.09/8.29 |- ~product $X e_1 e_4 \/ product $X e_4 e_2 \/ product e_4 e_1 e_1
% 8.09/8.29 |- ~product e_2 e_1 $Z2 \/ product e_4 e_1 e_1 \/ product e_4 e_2 $Z2
% 8.09/8.29 |- ~product $W e_1 e_2 \/ $W == e_4 \/ product e_4 e_1 e_1
% 8.09/8.29 |- ~product $Z e_1 e_2 \/ e_4 == $Z \/ product e_4 e_1 e_1
% 8.09/8.29 |- ~product e_4 $W e_2 \/ $W == e_1 \/ product e_4 e_1 e_1
% 8.09/8.29 |- ~product e_4 $Z e_2 \/ e_1 == $Z \/ product e_4 e_1 e_1
% 8.09/8.29 |- ~product e_4 e_1 $W \/ $W == e_2 \/ product e_4 e_1 e_1
% 8.09/8.29 |- ~product e_4 e_1 $Z \/ e_2 == $Z \/ product e_4 e_1 e_1
% 8.09/8.29 |- ~greater e_2 $X1 \/ ~next e_4 $X1 \/ product e_4 e_1 e_1
% 8.09/8.29 |- ~product $X e_2 e_4 \/ product $X e_4 e_2 \/ product e_4 e_1 e_2 \/
% 8.09/8.29 product e_4 e_2 e_1
% 8.09/8.29 |- ~product e_2 e_2 $Z2 \/ product e_4 e_1 e_2 \/ product e_4 e_2 $Z2 \/
% 8.09/8.29 product e_4 e_2 e_1
% 8.09/8.29 |- ~product $W e_2 e_2 \/ $W == e_4 \/ product e_4 e_1 e_2 \/
% 8.09/8.29 product e_4 e_2 e_1
% 8.09/8.29 |- ~product $Z e_2 e_2 \/ e_4 == $Z \/ product e_4 e_1 e_2 \/
% 8.09/8.29 product e_4 e_2 e_1
% 8.09/8.29 |- ~product e_4 $W e_2 \/ $W == e_2 \/ product e_4 e_1 e_2 \/
% 8.09/8.29 product e_4 e_2 e_1
% 8.09/8.29 |- ~product e_4 $Z e_2 \/ e_2 == $Z \/ product e_4 e_1 e_2 \/
% 8.09/8.29 product e_4 e_2 e_1
% 8.09/8.29 |- ~product e_4 e_2 $W \/ $W == e_2 \/ product e_4 e_1 e_2 \/
% 8.09/8.29 product e_4 e_2 e_1
% 8.09/8.29 |- ~product e_4 e_2 $Z \/ e_2 == $Z \/ product e_4 e_1 e_2 \/
% 8.09/8.29 product e_4 e_2 e_1
% 8.09/8.29 |- product e_1 e_4 e_3
% 8.09/8.29 |- ~product $X e_4 e_1 \/ product $X e_1 e_3
% 8.09/8.29 |- ~product $W e_4 e_3 \/ $W == e_1
% 8.09/8.29 |- ~product $Z e_4 e_3 \/ e_1 == $Z
% 8.09/8.29 |- ~product e_1 $W e_3 \/ $W == e_4
% 8.09/8.29 |- ~product e_1 $Z e_3 \/ e_4 == $Z
% 8.09/8.30 |- ~product e_1 e_4 $W \/ $W == e_3
% 8.09/8.30 |- ~product e_1 e_4 $Z \/ e_3 == $Z
% 8.09/8.30 |- product e_2 e_1 e_3
% 8.09/8.30 |- ~product $X e_1 e_2 \/ product $X e_2 e_3
% 8.09/8.30 |- ~product $W e_1 e_3 \/ $W == e_2
% 8.09/8.30 |- ~product $Z e_1 e_3 \/ e_2 == $Z
% 8.09/8.30 |- ~product e_2 $W e_3 \/ $W == e_1
% 8.09/8.30 |- ~product e_2 $Z e_3 \/ e_1 == $Z
% 8.09/8.30 |- ~product e_2 e_1 $W \/ $W == e_3
% 8.09/8.30 |- ~product e_2 e_1 $Z \/ e_3 == $Z
% 8.09/8.30 |- ~greater e_3 $X1 \/ ~next e_2 $X1
% 8.09/8.30 |- ~greater e_3 e_3
% 8.09/8.30 |- product e_4 e_1 e_1 \/ product e_4 e_2 e_3
% 8.09/8.30 |- ~product $X e_2 e_4 \/ product $X e_4 e_3 \/ product e_4 e_1 e_1
% 8.09/8.30 |- ~product e_3 e_2 $Z2 \/ product e_4 e_1 e_1 \/ product e_4 e_3 $Z2
% 8.09/8.30 |- ~product $W e_2 e_3 \/ $W == e_4 \/ product e_4 e_1 e_1
% 8.09/8.30 |- ~product $Z e_2 e_3 \/ e_4 == $Z \/ product e_4 e_1 e_1
% 8.09/8.30 |- ~product e_4 $W e_3 \/ $W == e_2 \/ product e_4 e_1 e_1
% 8.09/8.30 |- ~product e_4 $Z e_3 \/ e_2 == $Z \/ product e_4 e_1 e_1
% 8.09/8.30 |- ~product e_4 e_2 $W \/ $W == e_3 \/ product e_4 e_1 e_1
% 8.09/8.30 |- ~product e_4 e_2 $Z \/ e_3 == $Z \/ product e_4 e_1 e_1
% 8.09/8.30 |- product e_4 e_1 e_1 \/ product e_4 e_3 e_1
% 8.09/8.30 |- ~product $X e_3 e_4 \/ product $X e_4 e_1 \/ product e_4 e_1 e_1
% 8.09/8.30 |- ~product e_1 e_3 $Z2 \/ product e_4 e_1 $Z2 \/ product e_4 e_1 e_1
% 8.09/8.30 |- ~product $W e_3 e_1 \/ $W == e_4 \/ product e_4 e_1 e_1
% 8.09/8.30 |- ~product $Z e_3 e_1 \/ e_4 == $Z \/ product e_4 e_1 e_1
% 8.09/8.30 |- ~product e_4 $W e_1 \/ $W == e_3 \/ product e_4 e_1 e_1
% 8.09/8.30 |- ~product e_4 $Z e_1 \/ e_3 == $Z \/ product e_4 e_1 e_1
% 8.09/8.30 |- ~product e_4 e_3 $W \/ $W == e_1 \/ product e_4 e_1 e_1
% 8.09/8.30 |- ~product e_4 e_3 $Z \/ e_1 == $Z \/ product e_4 e_1 e_1
% 8.09/8.30 |- product e_2 e_4 e_1
% 8.09/8.30 |- ~product $X e_4 e_2 \/ product $X e_2 e_1
% 8.09/8.30 |- ~product e_1 e_4 $Z2 \/ product e_2 e_1 $Z2
% 8.09/8.30 |- ~product $W e_4 e_1 \/ $W == e_2
% 8.09/8.30 |- ~product $Z e_4 e_1 \/ e_2 == $Z
% 8.09/8.30 |- ~product e_2 $W e_1 \/ $W == e_4
% 8.09/8.30 |- ~product e_2 $Z e_1 \/ e_4 == $Z
% 8.09/8.30 |- ~product e_2 e_4 $W \/ $W == e_1
% 8.09/8.30 |- ~product e_2 e_4 $Z \/ e_1 == $Z
% 8.09/8.30 |- product e_3 e_2 e_1
% 8.09/8.30 |- ~product $X e_2 e_3 \/ product $X e_3 e_1
% 8.09/8.30 |- ~product e_1 e_2 $Z2 \/ product e_3 e_1 $Z2
% 8.09/8.30 |- ~product $W e_2 e_1 \/ $W == e_3
% 8.09/8.30 |- ~product $Z e_2 e_1 \/ e_3 == $Z
% 8.09/8.30 |- ~product e_3 $W e_1 \/ $W == e_2
% 8.09/8.30 |- ~product e_3 $Z e_1 \/ e_2 == $Z
% 8.09/8.30 |- ~product e_3 e_2 $W \/ $W == e_1
% 8.09/8.30 |- ~product e_3 e_2 $Z \/ e_1 == $Z
% 8.09/8.30 |- product e_3 e_1 e_4
% 8.09/8.30 |- ~product $X e_1 e_3 \/ product $X e_3 e_4
% 8.09/8.30 |- ~product $W e_1 e_4 \/ $W == e_3
% 8.09/8.30 |- ~product $Z e_1 e_4 \/ e_3 == $Z
% 8.09/8.30 |- ~product e_3 $W e_4 \/ $W == e_1
% 8.09/8.30 |- ~product e_3 $Z e_4 \/ e_1 == $Z
% 8.09/8.30 |- ~product e_3 e_1 $W \/ $W == e_4
% 8.09/8.30 |- ~product e_3 e_1 $Z \/ e_4 == $Z
% 8.09/8.30 |- ~greater e_4 $X1 \/ ~next e_3 $X1
% 8.09/8.30 |- product e_3 e_3 e_1 \/ product e_3 e_3 e_2 \/ product e_3 e_3 e_3
% 8.09/8.30 |- ~greater e_4 e_4
% 8.09/8.30 |- product e_2 e_2 e_1 \/ product e_4 e_1 e_2
% 8.09/8.30 |- ~product $X e_1 e_4 \/ product $X e_4 e_2 \/ product e_2 e_2 e_1
% 8.09/8.30 |- ~product e_2 e_1 $Z2 \/ product e_2 e_2 e_1 \/ product e_4 e_2 $Z2
% 8.09/8.30 |- ~product $W e_1 e_2 \/ $W == e_4 \/ product e_2 e_2 e_1
% 8.09/8.30 |- ~product $Z e_1 e_2 \/ e_4 == $Z \/ product e_2 e_2 e_1
% 8.09/8.30 |- ~product e_4 $W e_2 \/ $W == e_1 \/ product e_2 e_2 e_1
% 8.09/8.30 |- ~product e_4 $Z e_2 \/ e_1 == $Z \/ product e_2 e_2 e_1
% 8.09/8.30 |- ~product e_4 e_1 $W \/ $W == e_2 \/ product e_2 e_2 e_1
% 8.09/8.30 |- ~product e_4 e_1 $Z \/ e_2 == $Z \/ product e_2 e_2 e_1
% 8.09/8.30 |- ~greater e_2 $X1 \/ ~next e_4 $X1 \/ product e_2 e_2 e_1
% 8.09/8.30 |- product e_2 e_2 e_1 \/ product e_4 e_2 e_3
% 8.09/8.30 |- ~product $X e_2 e_4 \/ product $X e_4 e_3 \/ product e_2 e_2 e_1
% 8.09/8.30 |- ~product e_3 e_2 $Z2 \/ product e_2 e_2 e_1 \/ product e_4 e_3 $Z2
% 8.09/8.30 |- ~product $W e_2 e_3 \/ $W == e_4 \/ product e_2 e_2 e_1
% 8.09/8.30 |- ~product $Z e_2 e_3 \/ e_4 == $Z \/ product e_2 e_2 e_1
% 8.09/8.30 |- ~product e_4 $W e_3 \/ $W == e_2 \/ product e_2 e_2 e_1
% 8.09/8.30 |- ~product e_4 $Z e_3 \/ e_2 == $Z \/ product e_2 e_2 e_1
% 8.09/8.30 |- ~product e_4 e_2 $W \/ $W == e_3 \/ product e_2 e_2 e_1
% 8.09/8.30 |- ~product e_4 e_2 $Z \/ e_3 == $Z \/ product e_2 e_2 e_1
% 8.09/8.30 |- product e_2 e_2 e_1 \/ product e_4 e_3 e_1
% 8.09/8.30 |- ~product $X e_3 e_4 \/ product $X e_4 e_1 \/ product e_2 e_2 e_1
% 8.09/8.30 |- ~product e_1 e_3 $Z2 \/ product e_2 e_2 e_1 \/ product e_4 e_1 $Z2
% 8.09/8.30 |- ~product $W e_3 e_1 \/ $W == e_4 \/ product e_2 e_2 e_1
% 8.09/8.30 |- ~product $Z e_3 e_1 \/ e_4 == $Z \/ product e_2 e_2 e_1
% 8.09/8.30 |- ~product e_4 $W e_1 \/ $W == e_3 \/ product e_2 e_2 e_1
% 8.09/8.30 |- ~product e_4 $Z e_1 \/ e_3 == $Z \/ product e_2 e_2 e_1
% 8.09/8.30 |- ~product e_4 e_3 $W \/ $W == e_1 \/ product e_2 e_2 e_1
% 8.09/8.30 |- ~product e_4 e_3 $Z \/ e_1 == $Z \/ product e_2 e_2 e_1
% 8.09/8.30 |- product e_2 e_3 e_4
% 8.09/8.30 |- ~product $X e_3 e_2 \/ product $X e_2 e_4
% 8.09/8.30 |- ~product $W e_3 e_4 \/ $W == e_2
% 8.09/8.30 |- ~product $Z e_3 e_4 \/ e_2 == $Z
% 8.09/8.30 |- ~product e_2 $W e_4 \/ $W == e_3
% 8.09/8.30 |- ~product e_2 $Z e_4 \/ e_3 == $Z
% 8.09/8.30 |- ~product e_2 e_3 $W \/ $W == e_4
% 8.09/8.30 |- ~product e_2 e_3 $Z \/ e_4 == $Z
% 8.09/8.30 |- ~product $W e_3 e_3 \/ $W == e_3 \/ product e_3 e_3 e_1 \/
% 8.09/8.30 product e_3 e_3 e_2
% 8.09/8.30 |- ~product $Z e_3 e_3 \/ e_3 == $Z \/ product e_3 e_3 e_1 \/
% 8.09/8.30 product e_3 e_3 e_2
% 8.09/8.30 |- ~product e_3 $W e_3 \/ $W == e_3 \/ product e_3 e_3 e_1 \/
% 8.09/8.30 product e_3 e_3 e_2
% 8.09/8.30 |- ~product e_3 $Z e_3 \/ e_3 == $Z \/ product e_3 e_3 e_1 \/
% 8.09/8.30 product e_3 e_3 e_2
% 8.09/8.30 |- ~product e_3 e_3 $W \/ $W == e_3 \/ product e_3 e_3 e_1 \/
% 8.09/8.30 product e_3 e_3 e_2
% 8.09/8.30 |- ~product e_3 e_3 $Z \/ e_3 == $Z \/ product e_3 e_3 e_1 \/
% 8.09/8.30 product e_3 e_3 e_2
% 8.09/8.30 |- product e_2 e_4 e_3 \/ product e_4 e_3 e_1
% 8.09/8.30 |- ~product $X e_3 e_4 \/ product $X e_4 e_1 \/ product e_2 e_4 e_3
% 8.09/8.30 |- ~product e_1 e_3 $Z2 \/ product e_2 e_4 e_3 \/ product e_4 e_1 $Z2
% 8.09/8.30 |- ~product $W e_3 e_1 \/ $W == e_4 \/ product e_2 e_4 e_3
% 8.09/8.30 |- ~product $Z e_3 e_1 \/ e_4 == $Z \/ product e_2 e_4 e_3
% 8.09/8.30 |- ~product e_4 $W e_1 \/ $W == e_3 \/ product e_2 e_4 e_3
% 8.09/8.30 |- ~product e_4 $Z e_1 \/ e_3 == $Z \/ product e_2 e_4 e_3
% 8.09/8.30 |- ~product e_4 e_3 $W \/ $W == e_1 \/ product e_2 e_4 e_3
% 8.09/8.30 |- ~product e_4 e_3 $Z \/ e_1 == $Z \/ product e_2 e_4 e_3
% 8.09/8.30 |- product e_2 e_4 e_3 \/ product e_4 e_1 e_2
% 8.09/8.30 |- ~product $X e_1 e_4 \/ product $X e_4 e_2 \/ product e_2 e_4 e_3
% 8.09/8.30 |- ~product e_2 e_1 $Z2 \/ product e_2 e_4 e_3 \/ product e_4 e_2 $Z2
% 8.09/8.30 |- ~product $W e_1 e_2 \/ $W == e_4 \/ product e_2 e_4 e_3
% 8.09/8.30 |- ~product $Z e_1 e_2 \/ e_4 == $Z \/ product e_2 e_4 e_3
% 8.09/8.30 |- ~product e_4 $W e_2 \/ $W == e_1 \/ product e_2 e_4 e_3
% 8.09/8.30 |- ~product e_4 $Z e_2 \/ e_1 == $Z \/ product e_2 e_4 e_3
% 8.09/8.30 |- ~product e_4 e_1 $W \/ $W == e_2 \/ product e_2 e_4 e_3
% 8.09/8.30 |- ~product e_4 e_1 $Z \/ e_2 == $Z \/ product e_2 e_4 e_3
% 8.09/8.30 |- ~greater e_2 $X1 \/ ~next e_4 $X1 \/ product e_2 e_4 e_3
% 8.09/8.30 |- product e_2 e_4 e_3 \/ product e_4 e_2 e_3
% 8.09/8.30 |- ~product $X e_2 e_4 \/ product $X e_4 e_3 \/ product e_2 e_4 e_3
% 8.09/8.30 |- ~product e_3 e_2 $Z2 \/ product e_2 e_4 e_3 \/ product e_4 e_3 $Z2
% 8.09/8.30 |- ~product $W e_2 e_3 \/ $W == e_4 \/ product e_2 e_4 e_3
% 8.09/8.30 |- ~product $Z e_2 e_3 \/ e_4 == $Z \/ product e_2 e_4 e_3
% 8.09/8.30 |- ~product e_4 $W e_3 \/ $W == e_2 \/ product e_2 e_4 e_3
% 8.09/8.30 |- ~product e_4 $Z e_3 \/ e_2 == $Z \/ product e_2 e_4 e_3
% 8.09/8.30 |- ~product e_4 e_2 $W \/ $W == e_3 \/ product e_2 e_4 e_3
% 8.09/8.30 |- ~product e_4 e_2 $Z \/ e_3 == $Z \/ product e_2 e_4 e_3
% 8.09/8.30 |- product e_3 e_4 e_2
% 8.09/8.30 |- ~product $X e_4 e_3 \/ product $X e_3 e_2
% 8.09/8.30 |- ~product e_2 e_4 $Z2 \/ product e_3 e_2 $Z2
% 8.09/8.30 |- ~product $W e_4 e_2 \/ $W == e_3
% 8.09/8.30 |- ~product $Z e_4 e_2 \/ e_3 == $Z
% 8.09/8.30 |- ~product e_3 $W e_2 \/ $W == e_4
% 8.09/8.30 |- ~product e_3 $Z e_2 \/ e_4 == $Z
% 8.09/8.30 |- ~product e_3 e_4 $W \/ $W == e_2
% 8.09/8.30 |- ~product e_3 e_4 $Z \/ e_2 == $Z
% 8.09/8.30 |- product e_3 e_3 e_1 \/ product e_3 e_3 e_2 \/ product e_4 e_3 e_1
% 8.09/8.30 |- ~product $X e_3 e_4 \/ product $X e_4 e_1 \/ product e_3 e_3 e_1 \/
% 8.09/8.30 product e_3 e_3 e_2
% 8.09/8.31 |- ~product e_1 e_3 $Z2 \/ product e_3 e_3 e_1 \/ product e_3 e_3 e_2 \/
% 8.09/8.31 product e_4 e_1 $Z2
% 8.09/8.31 |- ~product $W e_3 e_1 \/ $W == e_4 \/ product e_3 e_3 e_1 \/
% 8.09/8.31 product e_3 e_3 e_2
% 8.09/8.31 |- ~product $Z e_3 e_1 \/ e_4 == $Z \/ product e_3 e_3 e_1 \/
% 8.09/8.31 product e_3 e_3 e_2
% 8.09/8.31 |- ~product e_4 $W e_1 \/ $W == e_3 \/ product e_3 e_3 e_1 \/
% 8.09/8.31 product e_3 e_3 e_2
% 8.09/8.31 |- ~product e_4 $Z e_1 \/ e_3 == $Z \/ product e_3 e_3 e_1 \/
% 8.09/8.31 product e_3 e_3 e_2
% 8.09/8.31 |- ~product e_4 e_3 $W \/ $W == e_1 \/ product e_3 e_3 e_1 \/
% 8.09/8.31 product e_3 e_3 e_2
% 8.09/8.31 |- ~product e_4 e_3 $Z \/ e_1 == $Z \/ product e_3 e_3 e_1 \/
% 8.09/8.31 product e_3 e_3 e_2
% 8.09/8.31 |- product e_3 e_3 e_1 \/ product e_3 e_3 e_2 \/ product e_4 e_1 e_2
% 8.09/8.31 |- ~product $X e_1 e_4 \/ product $X e_4 e_2 \/ product e_3 e_3 e_1 \/
% 8.09/8.31 product e_3 e_3 e_2
% 8.09/8.31 |- ~product e_2 e_1 $Z2 \/ product e_3 e_3 e_1 \/ product e_3 e_3 e_2 \/
% 8.09/8.31 product e_4 e_2 $Z2
% 8.09/8.31 |- ~product $W e_1 e_2 \/ $W == e_4 \/ product e_3 e_3 e_1 \/
% 8.09/8.31 product e_3 e_3 e_2
% 8.09/8.31 |- ~product $Z e_1 e_2 \/ e_4 == $Z \/ product e_3 e_3 e_1 \/
% 8.09/8.31 product e_3 e_3 e_2
% 8.09/8.31 |- ~product e_4 $W e_2 \/ $W == e_1 \/ product e_3 e_3 e_1 \/
% 8.09/8.31 product e_3 e_3 e_2
% 8.09/8.31 |- ~product e_4 $Z e_2 \/ e_1 == $Z \/ product e_3 e_3 e_1 \/
% 8.09/8.31 product e_3 e_3 e_2
% 8.09/8.31 |- ~product e_4 e_1 $W \/ $W == e_2 \/ product e_3 e_3 e_1 \/
% 8.09/8.31 product e_3 e_3 e_2
% 8.09/8.31 |- ~product e_4 e_1 $Z \/ e_2 == $Z \/ product e_3 e_3 e_1 \/
% 8.09/8.31 product e_3 e_3 e_2
% 8.09/8.31 |- ~greater e_2 $X1 \/ ~next e_4 $X1 \/ product e_3 e_3 e_1 \/
% 8.09/8.31 product e_3 e_3 e_2
% 8.09/8.31 |- product e_3 e_3 e_1 \/ product e_3 e_3 e_2 \/ product e_4 e_2 e_3
% 8.09/8.31 |- ~product $X e_2 e_4 \/ product $X e_4 e_3 \/ product e_3 e_3 e_1 \/
% 8.09/8.31 product e_3 e_3 e_2
% 8.09/8.31 |- ~product e_3 e_2 $Z2 \/ product e_3 e_3 e_1 \/ product e_3 e_3 e_2 \/
% 8.09/8.31 product e_4 e_3 $Z2
% 8.09/8.31 |- ~product $W e_2 e_3 \/ $W == e_4 \/ product e_3 e_3 e_1 \/
% 8.09/8.31 product e_3 e_3 e_2
% 8.09/8.31 |- ~product $Z e_2 e_3 \/ e_4 == $Z \/ product e_3 e_3 e_1 \/
% 8.09/8.31 product e_3 e_3 e_2
% 8.09/8.31 |- ~product e_4 $W e_3 \/ $W == e_2 \/ product e_3 e_3 e_1 \/
% 8.09/8.31 product e_3 e_3 e_2
% 8.09/8.31 |- ~product e_4 $Z e_3 \/ e_2 == $Z \/ product e_3 e_3 e_1 \/
% 8.09/8.31 product e_3 e_3 e_2
% 8.09/8.31 |- ~product e_4 e_2 $W \/ $W == e_3 \/ product e_3 e_3 e_1 \/
% 8.09/8.31 product e_3 e_3 e_2
% 8.09/8.31 |- ~product e_4 e_2 $Z \/ e_3 == $Z \/ product e_3 e_3 e_1 \/
% 8.09/8.31 product e_3 e_3 e_2
% 8.09/8.31 |- product e_1 e_4 e_2 \/ product e_4 e_1 e_2
% 8.09/8.31 |- ~product $X e_1 e_4 \/ product $X e_4 e_2 \/ product e_1 e_4 e_2
% 8.09/8.31 |- ~product e_2 e_1 $Z2 \/ product e_1 e_4 e_2 \/ product e_4 e_2 $Z2
% 8.09/8.31 |- ~product $W e_1 e_2 \/ $W == e_4 \/ product e_1 e_4 e_2
% 8.09/8.31 |- ~product $Z e_1 e_2 \/ e_4 == $Z \/ product e_1 e_4 e_2
% 8.09/8.31 |- ~product e_4 $W e_2 \/ $W == e_1 \/ product e_1 e_4 e_2
% 8.09/8.31 |- ~product e_4 $Z e_2 \/ e_1 == $Z \/ product e_1 e_4 e_2
% 8.09/8.31 |- ~product e_4 e_1 $W \/ $W == e_2 \/ product e_1 e_4 e_2
% 8.09/8.31 |- ~product e_4 e_1 $Z \/ e_2 == $Z \/ product e_1 e_4 e_2
% 8.09/8.31 |- ~greater e_2 $X1 \/ ~next e_4 $X1 \/ product e_1 e_4 e_2
% 8.09/8.31 |- product e_1 e_4 e_2 \/ product e_4 e_2 e_3
% 8.09/8.31 |- ~product $X e_2 e_4 \/ product $X e_4 e_3 \/ product e_1 e_4 e_2
% 8.09/8.31 |- ~product e_3 e_2 $Z2 \/ product e_1 e_4 e_2 \/ product e_4 e_3 $Z2
% 8.09/8.31 |- ~product $W e_2 e_3 \/ $W == e_4 \/ product e_1 e_4 e_2
% 8.09/8.31 |- ~product $Z e_2 e_3 \/ e_4 == $Z \/ product e_1 e_4 e_2
% 8.09/8.31 |- ~product e_4 $W e_3 \/ $W == e_2 \/ product e_1 e_4 e_2
% 8.09/8.31 |- ~product e_4 $Z e_3 \/ e_2 == $Z \/ product e_1 e_4 e_2
% 8.09/8.31 |- ~product e_4 e_2 $W \/ $W == e_3 \/ product e_1 e_4 e_2
% 8.09/8.31 |- ~product e_4 e_2 $Z \/ e_3 == $Z \/ product e_1 e_4 e_2
% 8.09/8.31 |- product e_1 e_4 e_2 \/ product e_4 e_3 e_1
% 8.09/8.31 |- ~product $X e_3 e_4 \/ product $X e_4 e_1 \/ product e_1 e_4 e_2
% 8.09/8.31 |- ~product e_1 e_3 $Z2 \/ product e_1 e_4 e_2 \/ product e_4 e_1 $Z2
% 8.09/8.31 |- ~product $W e_3 e_1 \/ $W == e_4 \/ product e_1 e_4 e_2
% 8.09/8.31 |- ~product $Z e_3 e_1 \/ e_4 == $Z \/ product e_1 e_4 e_2
% 8.09/8.31 |- ~product e_4 $W e_1 \/ $W == e_3 \/ product e_1 e_4 e_2
% 8.09/8.31 |- ~product e_4 $Z e_1 \/ e_3 == $Z \/ product e_1 e_4 e_2
% 8.09/8.31 |- ~product e_4 e_3 $W \/ $W == e_1 \/ product e_1 e_4 e_2
% 8.09/8.31 |- ~product e_4 e_3 $Z \/ e_1 == $Z \/ product e_1 e_4 e_2
% 8.09/8.31 SZS output end Saturation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.09/8.31
%------------------------------------------------------------------------------