TSTP Solution File: GRP127-2.005 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GRP127-2.005 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n019.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 10:36:44 EDT 2022
% Result : Satisfiable 108.10s 108.28s
% Output : Saturation 108.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : GRP127-2.005 : TPTP v8.1.0. Released v1.2.0.
% 0.13/0.15 % Command : metis --show proof --show saturation %s
% 0.15/0.36 % Computer : n019.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 600
% 0.15/0.36 % DateTime : Mon Jun 13 08:23:40 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.15/0.37 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 108.10/108.28 % SZS status Satisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 108.10/108.28
% 108.10/108.28 SZS output start Saturation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 108.10/108.28 |- next e_1 e_2
% 108.10/108.28 |- next e_2 e_3
% 108.10/108.28 |- next e_3 e_4
% 108.10/108.28 |- next e_4 e_5
% 108.10/108.28 |- greater e_2 e_1
% 108.10/108.28 |- greater e_3 e_1
% 108.10/108.28 |- greater e_4 e_1
% 108.10/108.28 |- greater e_5 e_1
% 108.10/108.28 |- greater e_3 e_2
% 108.10/108.28 |- greater e_4 e_2
% 108.10/108.28 |- greater e_5 e_2
% 108.10/108.28 |- greater e_4 e_3
% 108.10/108.28 |- greater e_5 e_3
% 108.10/108.28 |- greater e_5 e_4
% 108.10/108.28 |- ~greater $Y $X1 \/ ~next $X $X1 \/ ~product $X e_1 $Y
% 108.10/108.28 |- group_element e_1
% 108.10/108.28 |- group_element e_2
% 108.10/108.28 |- group_element e_3
% 108.10/108.28 |- group_element e_4
% 108.10/108.28 |- group_element e_5
% 108.10/108.28 |- ~(e_1 == e_2)
% 108.10/108.28 |- ~(e_1 == e_3)
% 108.10/108.28 |- ~(e_1 == e_4)
% 108.10/108.28 |- ~(e_1 == e_5)
% 108.10/108.28 |- ~(e_2 == e_1)
% 108.10/108.28 |- ~(e_2 == e_3)
% 108.10/108.28 |- ~(e_2 == e_4)
% 108.10/108.28 |- ~(e_2 == e_5)
% 108.10/108.28 |- ~(e_3 == e_1)
% 108.10/108.28 |- ~(e_3 == e_2)
% 108.10/108.28 |- ~(e_3 == e_4)
% 108.10/108.28 |- ~(e_3 == e_5)
% 108.10/108.28 |- ~(e_4 == e_1)
% 108.10/108.28 |- ~(e_4 == e_2)
% 108.10/108.28 |- ~(e_4 == e_3)
% 108.10/108.28 |- ~(e_4 == e_5)
% 108.10/108.28 |- ~(e_5 == e_1)
% 108.10/108.28 |- ~(e_5 == e_2)
% 108.10/108.28 |- ~(e_5 == e_3)
% 108.10/108.28 |- ~(e_5 == e_4)
% 108.10/108.28 |- ~group_element $X \/ ~group_element $Y \/ product $X $Y e_1 \/
% 108.10/108.28 product $X $Y e_2 \/ product $X $Y e_3 \/ product $X $Y e_4 \/
% 108.10/108.28 product $X $Y e_5
% 108.10/108.28 |- ~product $X $Y $W \/ ~product $X $Y $Z \/ $W == $Z
% 108.10/108.28 |- ~product $X $W $Y \/ ~product $X $Z $Y \/ $W == $Z
% 108.10/108.28 |- ~product $W $Y $X \/ ~product $Z $Y $X \/ $W == $Z
% 108.10/108.28 |- product $X $X $X
% 108.10/108.28 |- ~group_element $Y \/ product $Y $Y e_1 \/ product $Y $Y e_2 \/
% 108.10/108.28 product $Y $Y e_3 \/ product $Y $Y e_4 \/ product $Y $Y e_5
% 108.10/108.28 |- ~product $Y $X $Z1 \/ ~product $Z1 $Y $Z2 \/ product $Z2 $Y $X
% 108.10/108.28 |- $_3 == $_3
% 108.10/108.28 |- ~greater e_1 $_6 \/ ~next e_1 $_6
% 108.10/108.28 |- ~greater e_1 e_2
% 108.10/108.28 |- ~product $_12 $_12 $_9 \/ $_9 == $_12
% 108.10/108.28 |- ~product $_9 $_9 $_12 \/ $_9 == $_12
% 108.10/108.28 |- ~product $_19 $_20 $_19 \/ $_19 == $_20
% 108.10/108.28 |- ~product $_19 $_17 $_19 \/ $_17 == $_19
% 108.10/108.28 |- ~product $_28 $_26 $_26 \/ $_26 == $_28
% 108.10/108.28 |- ~product $_25 $_26 $_26 \/ $_25 == $_26
% 108.10/108.28 |- ~product $_35 $_35 $_36 \/ product $_36 $_35 $_35
% 108.10/108.28 |- ~product $_36 $_33 $_36 \/ product $_36 $_36 $_33
% 108.10/108.28 |- ~group_element $_43 \/ product e_1 $_43 e_1 \/ product e_1 $_43 e_2 \/
% 108.10/108.28 product e_1 $_43 e_3 \/ product e_1 $_43 e_4 \/ product e_1 $_43 e_5
% 108.10/108.28 |- ~group_element $_43 \/ product e_2 $_43 e_1 \/ product e_2 $_43 e_2 \/
% 108.10/108.28 product e_2 $_43 e_3 \/ product e_2 $_43 e_4 \/ product e_2 $_43 e_5
% 108.10/108.28 |- ~group_element $_43 \/ product e_3 $_43 e_1 \/ product e_3 $_43 e_2 \/
% 108.10/108.28 product e_3 $_43 e_3 \/ product e_3 $_43 e_4 \/ product e_3 $_43 e_5
% 108.10/108.28 |- ~group_element $_43 \/ product e_4 $_43 e_1 \/ product e_4 $_43 e_2 \/
% 108.10/108.28 product e_4 $_43 e_3 \/ product e_4 $_43 e_4 \/ product e_4 $_43 e_5
% 108.10/108.28 |- ~group_element $_43 \/ product e_5 $_43 e_1 \/ product e_5 $_43 e_2 \/
% 108.10/108.28 product e_5 $_43 e_3 \/ product e_5 $_43 e_4 \/ product e_5 $_43 e_5
% 108.10/108.28 |- ~group_element $_42 \/ product $_42 e_1 e_1 \/ product $_42 e_1 e_2 \/
% 108.10/108.28 product $_42 e_1 e_3 \/ product $_42 e_1 e_4 \/ product $_42 e_1 e_5
% 108.10/108.28 |- ~group_element $_42 \/ product $_42 e_2 e_1 \/ product $_42 e_2 e_2 \/
% 108.10/108.28 product $_42 e_2 e_3 \/ product $_42 e_2 e_4 \/ product $_42 e_2 e_5
% 108.10/108.28 |- ~group_element $_42 \/ product $_42 e_3 e_1 \/ product $_42 e_3 e_2 \/
% 108.10/108.28 product $_42 e_3 e_3 \/ product $_42 e_3 e_4 \/ product $_42 e_3 e_5
% 108.10/108.28 |- ~group_element $_42 \/ product $_42 e_4 e_1 \/ product $_42 e_4 e_2 \/
% 108.10/108.28 product $_42 e_4 e_3 \/ product $_42 e_4 e_4 \/ product $_42 e_4 e_5
% 108.10/108.28 |- ~group_element $_42 \/ product $_42 e_5 e_1 \/ product $_42 e_5 e_2 \/
% 108.10/108.28 product $_42 e_5 e_3 \/ product $_42 e_5 e_4 \/ product $_42 e_5 e_5
% 108.10/108.28 |- product e_1 e_2 e_4
% 108.10/108.28 |- ~product $W e_2 e_4 \/ $W == e_1
% 108.10/108.28 |- ~product $Z e_2 e_4 \/ e_1 == $Z
% 108.10/108.28 |- ~product e_1 $W e_4 \/ $W == e_2
% 108.10/108.28 |- ~product e_1 $Z e_4 \/ e_2 == $Z
% 108.10/108.28 |- ~product e_1 e_2 $W \/ $W == e_4
% 108.10/108.28 |- ~product e_1 e_2 $Z \/ e_4 == $Z
% 108.10/108.28 |- product e_1 e_4 e_2
% 108.10/108.28 |- ~product $W e_4 e_2 \/ $W == e_1
% 108.10/108.28 |- ~product $Z e_4 e_2 \/ e_1 == $Z
% 108.10/108.28 |- ~product e_1 $W e_2 \/ $W == e_4
% 108.10/108.28 |- ~product e_1 $Z e_2 \/ e_4 == $Z
% 108.10/108.28 |- ~product e_1 e_4 $W \/ $W == e_2
% 108.12/108.28 |- ~product e_1 e_4 $Z \/ e_2 == $Z
% 108.12/108.28 |- product e_1 e_3 e_5
% 108.12/108.28 |- ~product $W e_3 e_5 \/ $W == e_1
% 108.12/108.28 |- ~product $Z e_3 e_5 \/ e_1 == $Z
% 108.12/108.28 |- ~product e_1 $W e_5 \/ $W == e_3
% 108.12/108.28 |- ~product e_1 $Z e_5 \/ e_3 == $Z
% 108.12/108.28 |- ~product e_1 e_3 $W \/ $W == e_5
% 108.12/108.28 |- ~product e_1 e_3 $Z \/ e_5 == $Z
% 108.12/108.28 |- product e_1 e_5 e_3
% 108.12/108.28 |- ~product $W e_5 e_3 \/ $W == e_1
% 108.12/108.28 |- ~product $Z e_5 e_3 \/ e_1 == $Z
% 108.12/108.28 |- ~product e_1 $W e_3 \/ $W == e_5
% 108.12/108.28 |- ~product e_1 $Z e_3 \/ e_5 == $Z
% 108.12/108.28 |- ~product e_1 e_5 $W \/ $W == e_3
% 108.12/108.28 |- ~product e_1 e_5 $Z \/ e_3 == $Z
% 108.12/108.28 |- product e_2 e_1 e_3
% 108.12/108.28 |- ~product e_1 $X e_2 \/ product e_3 e_1 $X
% 108.12/108.28 |- ~product $W e_1 e_3 \/ $W == e_2
% 108.12/108.28 |- ~product $Z e_1 e_3 \/ e_2 == $Z
% 108.12/108.29 |- ~product e_2 $W e_3 \/ $W == e_1
% 108.12/108.29 |- ~product e_2 $Z e_3 \/ e_1 == $Z
% 108.12/108.29 |- ~product e_2 e_1 $W \/ $W == e_3
% 108.12/108.29 |- ~product e_2 e_1 $Z \/ e_3 == $Z
% 108.12/108.29 |- ~greater e_3 $X1 \/ ~next e_2 $X1
% 108.12/108.29 |- ~greater e_3 e_3
% 108.12/108.29 |- product e_3 e_1 e_4
% 108.12/108.29 |- ~product e_1 $X e_3 \/ product e_4 e_1 $X
% 108.12/108.29 |- ~product $W e_1 e_4 \/ $W == e_3
% 108.12/108.29 |- ~product $Z e_1 e_4 \/ e_3 == $Z
% 108.12/108.29 |- ~product e_3 $W e_4 \/ $W == e_1
% 108.12/108.29 |- ~product e_3 $Z e_4 \/ e_1 == $Z
% 108.12/108.29 |- ~product e_3 e_1 $W \/ $W == e_4
% 108.12/108.29 |- ~product e_3 e_1 $Z \/ e_4 == $Z
% 108.12/108.29 |- ~greater e_4 $X1 \/ ~next e_3 $X1
% 108.12/108.29 |- ~greater e_4 e_4
% 108.12/108.29 |- product e_3 e_5 e_2
% 108.12/108.29 |- ~product e_2 e_3 $Z2 \/ product $Z2 e_3 e_5
% 108.12/108.29 |- ~product $W e_5 e_2 \/ $W == e_3
% 108.12/108.29 |- ~product $Z e_5 e_2 \/ e_3 == $Z
% 108.12/108.29 |- ~product e_3 $W e_2 \/ $W == e_5
% 108.12/108.29 |- ~product e_3 $Z e_2 \/ e_5 == $Z
% 108.12/108.29 |- ~product e_3 e_5 $W \/ $W == e_2
% 108.12/108.29 |- ~product e_3 e_5 $Z \/ e_2 == $Z
% 108.12/108.29 |- product e_4 e_5 e_1
% 108.12/108.29 |- ~product e_1 e_4 $Z2 \/ product $Z2 e_4 e_5
% 108.12/108.29 |- ~product $W e_5 e_1 \/ $W == e_4
% 108.12/108.29 |- ~product $Z e_5 e_1 \/ e_4 == $Z
% 108.12/108.29 |- ~product e_4 $W e_1 \/ $W == e_5
% 108.12/108.29 |- ~product e_4 $Z e_1 \/ e_5 == $Z
% 108.12/108.29 |- ~product e_4 e_5 $W \/ $W == e_1
% 108.12/108.29 |- ~product e_4 e_5 $Z \/ e_1 == $Z
% 108.12/108.29 |- product e_2 e_3 e_1
% 108.12/108.29 |- ~product e_1 e_2 $Z2 \/ product $Z2 e_2 e_3
% 108.12/108.29 |- ~product $W e_3 e_1 \/ $W == e_2
% 108.12/108.29 |- ~product $Z e_3 e_1 \/ e_2 == $Z
% 108.12/108.29 |- ~product e_2 $W e_1 \/ $W == e_3
% 108.12/108.29 |- ~product e_2 $Z e_1 \/ e_3 == $Z
% 108.12/108.29 |- ~product e_2 e_3 $W \/ $W == e_1
% 108.12/108.29 |- ~product e_2 e_3 $Z \/ e_1 == $Z
% 108.12/108.29 |- product e_4 e_1 e_5
% 108.12/108.29 |- ~product e_1 $X e_4 \/ product e_5 e_1 $X
% 108.12/108.29 |- ~product $W e_1 e_5 \/ $W == e_4
% 108.12/108.29 |- ~product $Z e_1 e_5 \/ e_4 == $Z
% 108.12/108.29 |- ~product e_4 $W e_5 \/ $W == e_1
% 108.12/108.29 |- ~product e_4 $Z e_5 \/ e_1 == $Z
% 108.12/108.29 |- ~product e_4 e_1 $W \/ $W == e_5
% 108.12/108.29 |- ~product e_4 e_1 $Z \/ e_5 == $Z
% 108.12/108.29 |- ~greater e_5 $X1 \/ ~next e_4 $X1
% 108.12/108.29 |- ~greater e_5 e_5
% 108.12/108.29 |- product e_4 e_2 e_3
% 108.12/108.29 |- ~product e_2 $X e_4 \/ product e_3 e_2 $X
% 108.12/108.29 |- ~product e_3 e_4 $Z2 \/ product $Z2 e_4 e_2
% 108.12/108.29 |- ~product $W e_2 e_3 \/ $W == e_4
% 108.12/108.29 |- ~product $Z e_2 e_3 \/ e_4 == $Z
% 108.12/108.29 |- ~product e_4 $W e_3 \/ $W == e_2
% 108.12/108.29 |- ~product e_4 $Z e_3 \/ e_2 == $Z
% 108.12/108.29 |- ~product e_4 e_2 $W \/ $W == e_3
% 108.12/108.29 |- ~product e_4 e_2 $Z \/ e_3 == $Z
% 108.12/108.29 |- product e_5 e_2 e_1
% 108.12/108.29 |- ~product e_2 $X e_5 \/ product e_1 e_2 $X
% 108.12/108.29 |- ~product e_1 e_5 $Z2 \/ product $Z2 e_5 e_2
% 108.12/108.29 |- ~product $W e_2 e_1 \/ $W == e_5
% 108.12/108.29 |- ~product $Z e_2 e_1 \/ e_5 == $Z
% 108.12/108.29 |- ~product e_5 $W e_1 \/ $W == e_2
% 108.12/108.29 |- ~product e_5 $Z e_1 \/ e_2 == $Z
% 108.12/108.29 |- ~product e_5 e_2 $W \/ $W == e_1
% 108.12/108.29 |- ~product e_5 e_2 $Z \/ e_1 == $Z
% 108.12/108.29 |- product e_2 e_4 e_5
% 108.12/108.29 |- ~product $W e_4 e_5 \/ $W == e_2
% 108.12/108.29 |- ~product $Z e_4 e_5 \/ e_2 == $Z
% 108.12/108.29 |- ~product e_2 $W e_5 \/ $W == e_4
% 108.12/108.29 |- ~product e_2 $Z e_5 \/ e_4 == $Z
% 108.12/108.29 |- ~product e_2 e_4 $W \/ $W == e_5
% 108.12/108.29 |- ~product e_2 e_4 $Z \/ e_5 == $Z
% 108.12/108.29 |- product e_5 e_1 e_2
% 108.12/108.29 |- ~product e_1 $X e_5 \/ product e_2 e_1 $X
% 108.12/108.29 |- ~product e_2 e_5 $Z2 \/ product $Z2 e_5 e_1
% 108.12/108.29 |- ~product $W e_1 e_2 \/ $W == e_5
% 108.12/108.29 |- ~product $Z e_1 e_2 \/ e_5 == $Z
% 108.12/108.29 |- ~product e_5 $W e_2 \/ $W == e_1
% 108.12/108.29 |- ~product e_5 $Z e_2 \/ e_1 == $Z
% 108.12/108.29 |- ~product e_5 e_1 $W \/ $W == e_2
% 108.12/108.29 |- ~product e_5 e_1 $Z \/ e_2 == $Z
% 108.12/108.29 |- ~greater e_2 $X1 \/ ~next e_5 $X1
% 108.12/108.29 |- product e_3 e_4 e_1
% 108.12/108.29 |- ~product e_1 e_3 $Z2 \/ product $Z2 e_3 e_4
% 108.12/108.29 |- ~product $W e_4 e_1 \/ $W == e_3
% 108.12/108.29 |- ~product $Z e_4 e_1 \/ e_3 == $Z
% 108.12/108.29 |- ~product e_3 $W e_1 \/ $W == e_4
% 108.12/108.29 |- ~product e_3 $Z e_1 \/ e_4 == $Z
% 108.12/108.29 |- ~product e_3 e_4 $W \/ $W == e_1
% 108.12/108.29 |- ~product e_3 e_4 $Z \/ e_1 == $Z
% 108.12/108.29 |- product e_5 e_3 e_4
% 108.12/108.29 |- ~product e_3 $X e_5 \/ product e_4 e_3 $X
% 108.12/108.29 |- ~product e_4 e_5 $Z2 \/ product $Z2 e_5 e_3
% 108.12/108.29 |- ~product $W e_3 e_4 \/ $W == e_5
% 108.12/108.29 |- ~product $Z e_3 e_4 \/ e_5 == $Z
% 108.12/108.29 |- ~product e_5 $W e_4 \/ $W == e_3
% 108.12/108.29 |- ~product e_5 $Z e_4 \/ e_3 == $Z
% 108.12/108.29 |- ~product e_5 e_3 $W \/ $W == e_4
% 108.12/108.29 |- ~product e_5 e_3 $Z \/ e_4 == $Z
% 108.12/108.29 |- product e_2 e_5 e_4
% 108.12/108.29 |- ~product $W e_5 e_4 \/ $W == e_2
% 108.12/108.29 |- ~product $Z e_5 e_4 \/ e_2 == $Z
% 108.12/108.29 |- ~product e_2 $W e_4 \/ $W == e_5
% 108.12/108.29 |- ~product e_2 $Z e_4 \/ e_5 == $Z
% 108.12/108.29 |- ~product e_2 e_5 $W \/ $W == e_4
% 108.12/108.29 |- ~product e_2 e_5 $Z \/ e_4 == $Z
% 108.12/108.29 |- product e_3 e_2 e_5
% 108.12/108.29 |- ~product e_2 $X e_3 \/ product e_5 e_2 $X
% 108.12/108.29 |- ~product $W e_2 e_5 \/ $W == e_3
% 108.12/108.29 |- ~product $Z e_2 e_5 \/ e_3 == $Z
% 108.12/108.29 |- ~product e_3 $W e_5 \/ $W == e_2
% 108.12/108.29 |- ~product e_3 $Z e_5 \/ e_2 == $Z
% 108.12/108.29 |- ~product e_3 e_2 $W \/ $W == e_5
% 108.12/108.29 |- ~product e_3 e_2 $Z \/ e_5 == $Z
% 108.12/108.29 |- product e_4 e_3 e_2
% 108.12/108.29 |- ~product e_3 $X e_4 \/ product e_2 e_3 $X
% 108.12/108.29 |- ~product e_2 e_4 $Z2 \/ product $Z2 e_4 e_3
% 108.12/108.29 |- ~product $W e_3 e_2 \/ $W == e_4
% 108.12/108.29 |- ~product $Z e_3 e_2 \/ e_4 == $Z
% 108.12/108.29 |- ~product e_4 $W e_2 \/ $W == e_3
% 108.12/108.29 |- ~product e_4 $Z e_2 \/ e_3 == $Z
% 108.12/108.29 |- ~product e_4 e_3 $W \/ $W == e_2
% 108.12/108.29 |- ~product e_4 e_3 $Z \/ e_2 == $Z
% 108.12/108.29 |- product e_5 e_4 e_3
% 108.12/108.29 |- ~product e_4 $X e_5 \/ product e_3 e_4 $X
% 108.12/108.29 |- ~product e_3 e_5 $Z2 \/ product $Z2 e_5 e_4
% 108.12/108.29 |- ~product $W e_4 e_3 \/ $W == e_5
% 108.12/108.29 |- ~product $Z e_4 e_3 \/ e_5 == $Z
% 108.12/108.29 |- ~product e_5 $W e_3 \/ $W == e_4
% 108.12/108.29 |- ~product e_5 $Z e_3 \/ e_4 == $Z
% 108.12/108.29 |- ~product e_5 e_4 $W \/ $W == e_3
% 108.12/108.29 |- ~product e_5 e_4 $Z \/ e_3 == $Z
% 108.12/108.29 SZS output end Saturation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 108.12/108.29
%------------------------------------------------------------------------------