%------------------------------------------------------------------------------ % 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 %------------------------------------------------------------------------------