↑ Up

CSE---1.7.UNS-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : CSE---1.7
% Problem  : PLA031-1.001 : TPTP v8.2.0. Released v3.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s

% Computer : n032.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  : 300s
% DateTime : Mon Jun 24 13:35:34 EDT 2024

% Result   : Unsatisfiable 118.23s 118.32s
% Output   : CNFRefutation 118.23s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.09  % Problem    : PLA031-1.001 : TPTP v8.2.0. Released v3.5.0.
% 0.03/0.09  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.08/0.28  % Computer : n032.cluster.edu
% 0.08/0.28  % Model    : x86_64 x86_64
% 0.08/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28  % Memory   : 8042.1875MB
% 0.08/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28  % CPULimit   : 300
% 0.08/0.28  % WCLimit    : 300
% 0.08/0.28  % DateTime   : Tue Jun 18 17:14:53 EDT 2024
% 0.08/0.28  % CPUTime    : 
% 0.13/0.45  start to proof:theBenchmark
% 118.23/118.29  %-------------------------------------------
% 118.23/118.29  % File        :CSE---1.7
% 118.23/118.29  % Problem     :theBenchmark
% 118.23/118.29  % Transform   :cnf
% 118.23/118.29  % Format      :tptp:raw
% 118.23/118.29  % Command     :java -jar mcs_scs.jar %d %s
% 118.23/118.29  
% 118.23/118.29  % Result      :Theorem 117.800000s
% 118.23/118.30  % Output      :CNFRefutation 117.800000s
% 118.23/118.30  %-------------------------------------------
% 118.23/118.30  %------------------------------------------------------------------------------
% 118.23/118.30  % File     : PLA031-1.001 : TPTP v8.2.0. Released v3.5.0.
% 118.23/118.30  % Domain   : Planning
% 118.23/118.30  % Problem  : Driver's log k=01
% 118.23/118.30  % Version  : Especial.
% 118.23/118.30  % English  : A planning domain that involves driving trucks around
% 118.23/118.30  %            delivering packages between locations. The complication is
% 118.23/118.30  %            that the trucks require drivers who must walk between trucks
% 118.23/118.30  %            in order to drive them. The paths for walking and the roads
% 118.23/118.30  %            for driving form different maps on the locations.
% 118.23/118.30  %            Instances were semi-automatically translated from the basic
% 118.23/118.30  %            Strips instances used in the 2002 Planning Competition.
% 118.23/118.30  
% 118.23/118.31  % Refs     : [LF03] Long & Fox (2003), The 3rd International Planning Compe
% 118.23/118.31  %          : [NV07a] Navarro (2007), Email to Geoff Sutcliffe
% 118.23/118.31  %          : [NV07b] Navarro & Voronkov (2007), Encoding Problems and Reaso
% 118.23/118.31  % Source   : [NV07a]
% 118.23/118.31  % Names    : driverlog01 [NV07a]
% 118.23/118.31  
% 118.23/118.31  % Status   : Unsatisfiable
% 118.23/118.31  % Rating   : 0.00 v6.1.0, 0.12 v6.0.0, 0.00 v3.5.0
% 118.23/118.31  % Syntax   : Number of clauses     :  106 (  84 unt;   0 nHn; 106 RR)
% 118.23/118.31  %            Number of literals    :  138 (   0 equ;  41 neg)
% 118.23/118.31  %            Maximal clause size   :    3 (   1 avg)
% 118.23/118.31  %            Maximal term depth    :    1 (   1 avg)
% 118.23/118.31  %            Number of predicates  :    4 (   4 usr;   0 prp; 2-6 aty)
% 118.23/118.31  %            Number of functors    :    8 (   8 usr;   8 con; 0-0 aty)
% 118.23/118.31  %            Number of variables   :  118 (   0 sgn)
% 118.23/118.31  % SPC      : CNF_UNS_EPR_NEQ_HRN
% 118.23/118.31  
% 118.23/118.31  % Comments : Only instances 1-4 are within reach of current provers. (2007)
% 118.23/118.31  %          : Translated from [LF03] using [NV07b]
% 118.23/118.31  %------------------------------------------------------------------------------
% 118.23/118.31  cnf(load1,axiom,
% 118.23/118.31      ( ~ s(L,O2,D1,D2,L,T2)
% 118.23/118.31      | s(truck1,O2,D1,D2,L,T2) ) ).
% 118.23/118.31  
% 118.23/118.31  cnf(load2,axiom,
% 118.23/118.31      ( s(L,O2,D1,D2,L,T2)
% 118.23/118.31      | ~ s(truck1,O2,D1,D2,L,T2) ) ).
% 118.23/118.31  
% 118.23/118.31  cnf(load3,axiom,
% 118.23/118.31      ( ~ s(L,O2,D1,D2,T1,L)
% 118.23/118.31      | s(truck2,O2,D1,D2,T1,L) ) ).
% 118.23/118.31  
% 118.23/118.31  cnf(load4,axiom,
% 118.23/118.31      ( s(L,O2,D1,D2,T1,L)
% 118.23/118.31      | ~ s(truck2,O2,D1,D2,T1,L) ) ).
% 118.23/118.31  
% 118.23/118.31  cnf(load5,axiom,
% 118.23/118.31      ( ~ s(O1,L,D1,D2,L,T2)
% 118.23/118.31      | s(O1,truck1,D1,D2,L,T2) ) ).
% 118.23/118.31  
% 118.23/118.31  cnf(load6,axiom,
% 118.23/118.31      ( s(O1,L,D1,D2,L,T2)
% 118.23/118.31      | ~ s(O1,truck1,D1,D2,L,T2) ) ).
% 118.23/118.31  
% 118.23/118.31  cnf(load7,axiom,
% 118.23/118.31      ( ~ s(O1,L,D1,D2,T1,L)
% 118.23/118.31      | s(O1,truck2,D1,D2,T1,L) ) ).
% 118.23/118.31  
% 118.23/118.31  cnf(load8,axiom,
% 118.23/118.31      ( s(O1,L,D1,D2,T1,L)
% 118.23/118.31      | ~ s(O1,truck2,D1,D2,T1,L) ) ).
% 118.23/118.31  
% 118.23/118.31  cnf(board1,axiom,
% 118.23/118.31      ( ~ s(O1,O2,L,D2,L,T2)
% 118.23/118.31      | ~ neq(D2,truck1)
% 118.23/118.31      | s(O1,O2,truck1,D2,L,T2) ) ).
% 118.23/118.31  
% 118.23/118.31  cnf(board2,axiom,
% 118.23/118.31      ( s(O1,O2,L,D2,L,T2)
% 118.23/118.31      | ~ s(O1,O2,truck1,D2,L,T2) ) ).
% 118.23/118.31  
% 118.23/118.31  cnf(board3,axiom,
% 118.23/118.31      ( ~ s(O1,O2,L,D2,T1,L)
% 118.23/118.31      | ~ neq(D2,truck2)
% 118.23/118.31      | s(O1,O2,truck2,D2,T1,L) ) ).
% 118.23/118.31  
% 118.23/118.31  cnf(board4,axiom,
% 118.23/118.31      ( s(O1,O2,L,D2,T1,L)
% 118.23/118.31      | ~ s(O1,O2,truck2,D2,T1,L) ) ).
% 118.23/118.31  
% 118.23/118.31  cnf(board5,axiom,
% 118.23/118.31      ( ~ s(O1,O2,D1,L,L,T2)
% 118.23/118.31      | ~ neq(D1,truck1)
% 118.23/118.31      | s(O1,O2,D1,truck1,L,T2) ) ).
% 118.23/118.31  
% 118.23/118.31  cnf(board6,axiom,
% 118.23/118.31      ( s(O1,O2,D1,L,L,T2)
% 118.23/118.31      | ~ s(O1,O2,D1,truck1,L,T2) ) ).
% 118.23/118.31  
% 118.23/118.31  cnf(board7,axiom,
% 118.23/118.31      ( ~ s(O1,O2,D1,L,T1,L)
% 118.23/118.31      | ~ neq(D1,truck2)
% 118.23/118.31      | s(O1,O2,D1,truck2,T1,L) ) ).
% 118.23/118.31  
% 118.23/118.31  cnf(board8,axiom,
% 118.23/118.31      ( s(O1,O2,D1,L,T1,L)
% 118.23/118.31      | ~ s(O1,O2,D1,truck2,T1,L) ) ).
% 118.23/118.31  
% 118.23/118.31  cnf(drive1,axiom,
% 118.23/118.31      ( ~ s(O1,O2,truck1,D2,S,T2)
% 118.23/118.31      | ~ link(S,D)
% 118.23/118.31      | s(O1,O2,truck1,D2,D,T2) ) ).
% 118.23/118.31  
% 118.23/118.31  cnf(drive2,axiom,
% 118.23/118.31      ( ~ s(O1,O2,truck2,D2,T1,S)
% 118.23/118.31      | ~ link(S,D)
% 118.23/118.31      | s(O1,O2,truck2,D2,T1,D) ) ).
% 118.23/118.31  
% 118.23/118.31  cnf(drive3,axiom,
% 118.23/118.31      ( ~ s(O1,O2,D1,truck1,S,T2)
% 118.23/118.31      | ~ link(S,D)
% 118.23/118.31      | s(O1,O2,D1,truck1,D,T2) ) ).
% 118.23/118.31  
% 118.23/118.31  cnf(drive4,axiom,
% 118.23/118.31      ( ~ s(O1,O2,D1,truck2,T1,S)
% 118.23/118.31      | ~ link(S,D)
% 118.23/118.31      | s(O1,O2,D1,truck2,T1,D) ) ).
% 118.23/118.31  
% 118.23/118.31  cnf(walk1,axiom,
% 118.23/118.31      ( ~ s(O1,O2,S,D2,T1,T2)
% 118.23/118.31      | ~ path(S,D)
% 118.23/118.31      | s(O1,O2,D,D2,T1,T2) ) ).
% 118.23/118.31  
% 118.23/118.31  cnf(walk2,axiom,
% 118.23/118.31      ( ~ s(O1,O2,D1,S,T1,T2)
% 118.23/118.31      | ~ path(S,D)
% 118.23/118.31      | s(O1,O2,D1,D,T1,T2) ) ).
% 118.23/118.31  
% 118.23/118.31  cnf(neq1,axiom,
% 118.23/118.31      ~ neq(truck1,truck1) ).
% 118.23/118.31  
% 118.23/118.31  cnf(neq2,axiom,
% 118.23/118.31      neq(truck1,truck2) ).
% 118.23/118.31  
% 118.23/118.31  cnf(neq3,axiom,
% 118.23/118.31      neq(truck1,s0) ).
% 118.23/118.31  
% 118.23/118.31  cnf(neq4,axiom,
% 118.23/118.31      neq(truck1,s1) ).
% 118.23/118.31  
% 118.23/118.31  cnf(neq5,axiom,
% 118.23/118.31      neq(truck1,s2) ).
% 118.23/118.31  
% 118.23/118.31  cnf(neq6,axiom,
% 118.23/118.31      neq(truck1,p1_0) ).
% 118.23/118.31  
% 118.23/118.31  cnf(neq7,axiom,
% 118.23/118.31      neq(truck1,p2_0) ).
% 118.23/118.31  
% 118.23/118.31  cnf(neq8,axiom,
% 118.23/118.31      neq(truck1,p2_1) ).
% 118.23/118.31  
% 118.23/118.31  cnf(neq9,axiom,
% 118.23/118.31      neq(truck2,truck1) ).
% 118.23/118.31  
% 118.23/118.31  cnf(neq10,axiom,
% 118.23/118.31      ~ neq(truck2,truck2) ).
% 118.23/118.31  
% 118.23/118.31  cnf(neq11,axiom,
% 118.23/118.31      neq(truck2,s0) ).
% 118.23/118.31  
% 118.23/118.31  cnf(neq12,axiom,
% 118.23/118.31      neq(truck2,s1) ).
% 118.23/118.31  
% 118.23/118.31  cnf(neq13,axiom,
% 118.23/118.31      neq(truck2,s2) ).
% 118.23/118.31  
% 118.23/118.31  cnf(neq14,axiom,
% 118.23/118.31      neq(truck2,p1_0) ).
% 118.23/118.31  
% 118.23/118.31  cnf(neq15,axiom,
% 118.23/118.31      neq(truck2,p2_0) ).
% 118.23/118.31  
% 118.23/118.31  cnf(neq16,axiom,
% 118.23/118.31      neq(truck2,p2_1) ).
% 118.23/118.31  
% 118.23/118.31  cnf(neq17,axiom,
% 118.23/118.31      neq(s0,truck1) ).
% 118.23/118.31  
% 118.23/118.31  cnf(neq18,axiom,
% 118.23/118.31      neq(s0,truck2) ).
% 118.23/118.31  
% 118.23/118.31  cnf(neq19,axiom,
% 118.23/118.31      ~ neq(s0,s0) ).
% 118.23/118.31  
% 118.23/118.31  cnf(neq20,axiom,
% 118.23/118.31      neq(s0,s1) ).
% 118.23/118.31  
% 118.23/118.31  cnf(neq21,axiom,
% 118.23/118.31      neq(s0,s2) ).
% 118.23/118.31  
% 118.23/118.31  cnf(neq22,axiom,
% 118.23/118.31      neq(s0,p1_0) ).
% 118.23/118.31  
% 118.23/118.31  cnf(neq23,axiom,
% 118.23/118.31      neq(s0,p2_0) ).
% 118.23/118.31  
% 118.23/118.31  cnf(neq24,axiom,
% 118.23/118.31      neq(s0,p2_1) ).
% 118.23/118.31  
% 118.23/118.31  cnf(neq25,axiom,
% 118.23/118.31      neq(s1,truck1) ).
% 118.23/118.31  
% 118.23/118.31  cnf(neq26,axiom,
% 118.23/118.31      neq(s1,truck2) ).
% 118.23/118.31  
% 118.23/118.31  cnf(neq27,axiom,
% 118.23/118.31      neq(s1,s0) ).
% 118.23/118.31  
% 118.23/118.31  cnf(neq28,axiom,
% 118.23/118.31      ~ neq(s1,s1) ).
% 118.23/118.31  
% 118.23/118.31  cnf(neq29,axiom,
% 118.23/118.31      neq(s1,s2) ).
% 118.23/118.31  
% 118.23/118.31  cnf(neq30,axiom,
% 118.23/118.31      neq(s1,p1_0) ).
% 118.23/118.31  
% 118.23/118.31  cnf(neq31,axiom,
% 118.23/118.31      neq(s1,p2_0) ).
% 118.23/118.31  
% 118.23/118.31  cnf(neq32,axiom,
% 118.23/118.31      neq(s1,p2_1) ).
% 118.23/118.31  
% 118.23/118.31  cnf(neq33,axiom,
% 118.23/118.31      neq(s2,truck1) ).
% 118.23/118.31  
% 118.23/118.31  cnf(neq34,axiom,
% 118.23/118.31      neq(s2,truck2) ).
% 118.23/118.31  
% 118.23/118.31  cnf(neq35,axiom,
% 118.23/118.31      neq(s2,s0) ).
% 118.23/118.31  
% 118.23/118.31  cnf(neq36,axiom,
% 118.23/118.31      neq(s2,s1) ).
% 118.23/118.31  
% 118.23/118.31  cnf(neq37,axiom,
% 118.23/118.31      ~ neq(s2,s2) ).
% 118.23/118.31  
% 118.23/118.31  cnf(neq38,axiom,
% 118.23/118.31      neq(s2,p1_0) ).
% 118.23/118.31  
% 118.23/118.31  cnf(neq39,axiom,
% 118.23/118.31      neq(s2,p2_0) ).
% 118.23/118.31  
% 118.23/118.31  cnf(neq40,axiom,
% 118.23/118.31      neq(s2,p2_1) ).
% 118.23/118.31  
% 118.23/118.31  cnf(neq41,axiom,
% 118.23/118.31      neq(p1_0,truck1) ).
% 118.23/118.31  
% 118.23/118.31  cnf(neq42,axiom,
% 118.23/118.31      neq(p1_0,truck2) ).
% 118.23/118.31  
% 118.23/118.31  cnf(neq43,axiom,
% 118.23/118.31      neq(p1_0,s0) ).
% 118.23/118.31  
% 118.23/118.31  cnf(neq44,axiom,
% 118.23/118.31      neq(p1_0,s1) ).
% 118.23/118.31  
% 118.23/118.31  cnf(neq45,axiom,
% 118.23/118.31      neq(p1_0,s2) ).
% 118.23/118.31  
% 118.23/118.31  cnf(neq46,axiom,
% 118.23/118.31      ~ neq(p1_0,p1_0) ).
% 118.23/118.31  
% 118.23/118.31  cnf(neq47,axiom,
% 118.23/118.31      neq(p1_0,p2_0) ).
% 118.23/118.31  
% 118.23/118.31  cnf(neq48,axiom,
% 118.23/118.31      neq(p1_0,p2_1) ).
% 118.23/118.31  
% 118.23/118.31  cnf(neq49,axiom,
% 118.23/118.31      neq(p2_0,truck1) ).
% 118.23/118.31  
% 118.23/118.31  cnf(neq50,axiom,
% 118.23/118.31      neq(p2_0,truck2) ).
% 118.23/118.32  
% 118.23/118.32  cnf(neq51,axiom,
% 118.23/118.32      neq(p2_0,s0) ).
% 118.23/118.32  
% 118.23/118.32  cnf(neq52,axiom,
% 118.23/118.32      neq(p2_0,s1) ).
% 118.23/118.32  
% 118.23/118.32  cnf(neq53,axiom,
% 118.23/118.32      neq(p2_0,s2) ).
% 118.23/118.32  
% 118.23/118.32  cnf(neq54,axiom,
% 118.23/118.32      neq(p2_0,p1_0) ).
% 118.23/118.32  
% 118.23/118.32  cnf(neq55,axiom,
% 118.23/118.32      ~ neq(p2_0,p2_0) ).
% 118.23/118.32  
% 118.23/118.32  cnf(neq56,axiom,
% 118.23/118.32      neq(p2_0,p2_1) ).
% 118.23/118.32  
% 118.23/118.32  cnf(neq57,axiom,
% 118.23/118.32      neq(p2_1,truck1) ).
% 118.23/118.32  
% 118.23/118.32  cnf(neq58,axiom,
% 118.23/118.32      neq(p2_1,truck2) ).
% 118.23/118.32  
% 118.23/118.32  cnf(neq59,axiom,
% 118.23/118.32      neq(p2_1,s0) ).
% 118.23/118.32  
% 118.23/118.32  cnf(neq60,axiom,
% 118.23/118.32      neq(p2_1,s1) ).
% 118.23/118.32  
% 118.23/118.32  cnf(neq61,axiom,
% 118.23/118.32      neq(p2_1,s2) ).
% 118.23/118.32  
% 118.23/118.32  cnf(neq62,axiom,
% 118.23/118.32      neq(p2_1,p1_0) ).
% 118.23/118.32  
% 118.23/118.32  cnf(neq63,axiom,
% 118.23/118.32      neq(p2_1,p2_0) ).
% 118.23/118.32  
% 118.23/118.32  cnf(neq64,axiom,
% 118.23/118.32      ~ neq(p2_1,p2_1) ).
% 118.23/118.32  
% 118.23/118.32  cnf(map1,axiom,
% 118.23/118.32      path(s1,p1_0) ).
% 118.23/118.32  
% 118.23/118.32  cnf(map2,axiom,
% 118.23/118.32      path(p1_0,s1) ).
% 118.23/118.32  
% 118.23/118.32  cnf(map3,axiom,
% 118.23/118.32      path(s0,p1_0) ).
% 118.23/118.32  
% 118.23/118.32  cnf(map4,axiom,
% 118.23/118.32      path(p1_0,s0) ).
% 118.23/118.32  
% 118.23/118.32  cnf(map5,axiom,
% 118.23/118.32      path(s2,p2_0) ).
% 118.23/118.32  
% 118.23/118.32  cnf(map6,axiom,
% 118.23/118.32      path(p2_0,s2) ).
% 118.23/118.32  
% 118.23/118.32  cnf(map7,axiom,
% 118.23/118.32      path(s0,p2_0) ).
% 118.23/118.32  
% 118.23/118.32  cnf(map8,axiom,
% 118.23/118.32      path(p2_0,s0) ).
% 118.23/118.32  
% 118.23/118.32  cnf(map9,axiom,
% 118.23/118.32      path(s2,p2_1) ).
% 118.23/118.32  
% 118.23/118.32  cnf(map10,axiom,
% 118.23/118.32      path(p2_1,s2) ).
% 118.23/118.32  
% 118.23/118.32  cnf(map11,axiom,
% 118.23/118.32      path(s1,p2_1) ).
% 118.23/118.32  
% 118.23/118.32  cnf(map12,axiom,
% 118.23/118.32      path(p2_1,s1) ).
% 118.23/118.32  
% 118.23/118.32  cnf(map13,axiom,
% 118.23/118.32      link(s0,s1) ).
% 118.23/118.32  
% 118.23/118.32  cnf(map14,axiom,
% 118.23/118.32      link(s1,s0) ).
% 118.23/118.32  
% 118.23/118.32  cnf(map15,axiom,
% 118.23/118.32      link(s0,s2) ).
% 118.23/118.32  
% 118.23/118.32  cnf(map16,axiom,
% 118.23/118.32      link(s2,s0) ).
% 118.23/118.32  
% 118.23/118.32  cnf(map17,axiom,
% 118.23/118.32      link(s1,s2) ).
% 118.23/118.32  
% 118.23/118.32  cnf(map18,axiom,
% 118.23/118.32      link(s2,s1) ).
% 118.23/118.32  
% 118.23/118.32  cnf(init,axiom,
% 118.23/118.32      s(s2,s2,s0,s1,s0,s2) ).
% 118.23/118.32  
% 118.23/118.32  cnf(goal,negated_conjecture,
% 118.23/118.32      ~ s(s2,s1,s2,s2,s2,s0) ).
% 118.23/118.32  
% 118.23/118.32  %------------------------------------------------------------------------------
% 118.23/118.32  %-------------------------------------------
% 118.23/118.32  % Proof found
% 118.23/118.32  % SZS status Theorem for theBenchmark
% 118.23/118.32  % SZS output start Proof
% 118.23/118.32  %ClaNum:106(EqnAxiom:0)
% 118.23/118.32  %VarNum:256(SingletonVarNum:118)
% 118.23/118.32  %MaxLitNum:3
% 118.23/118.32  %MaxfuncDepth:0
% 118.23/118.32  %SharedTerms:92
% 118.23/118.32  %goalClause: 84
% 118.23/118.32  %singleGoalClaCount:1
% 118.23/118.32  [1]P1(a1,a8)
% 118.23/118.32  [2]P1(a1,a2)
% 118.23/118.32  [3]P1(a1,a6)
% 118.23/118.32  [4]P1(a1,a7)
% 118.23/118.32  [5]P1(a1,a3)
% 118.23/118.32  [6]P1(a1,a4)
% 118.23/118.32  [7]P1(a1,a5)
% 118.23/118.32  [8]P1(a8,a1)
% 118.23/118.32  [9]P1(a8,a2)
% 118.23/118.32  [10]P1(a8,a6)
% 118.23/118.32  [11]P1(a8,a7)
% 118.23/118.32  [12]P1(a8,a3)
% 118.23/118.32  [13]P1(a8,a4)
% 118.23/118.32  [14]P1(a8,a5)
% 118.23/118.32  [15]P1(a2,a1)
% 118.23/118.32  [16]P1(a2,a8)
% 118.23/118.32  [17]P1(a2,a6)
% 118.23/118.32  [18]P1(a2,a7)
% 118.23/118.32  [19]P1(a2,a3)
% 118.23/118.32  [20]P1(a2,a4)
% 118.23/118.32  [21]P1(a2,a5)
% 118.23/118.32  [22]P1(a6,a1)
% 118.23/118.32  [23]P1(a6,a8)
% 118.23/118.32  [24]P1(a6,a2)
% 118.23/118.32  [25]P1(a6,a7)
% 118.23/118.32  [26]P1(a6,a3)
% 118.23/118.32  [27]P1(a6,a4)
% 118.23/118.32  [28]P1(a6,a5)
% 118.23/118.32  [29]P1(a7,a1)
% 118.23/118.32  [30]P1(a7,a8)
% 118.23/118.32  [31]P1(a7,a2)
% 118.23/118.32  [32]P1(a7,a6)
% 118.23/118.32  [33]P1(a7,a3)
% 118.23/118.32  [34]P1(a7,a4)
% 118.23/118.32  [35]P1(a7,a5)
% 118.23/118.32  [36]P1(a3,a1)
% 118.23/118.32  [37]P1(a3,a8)
% 118.23/118.32  [38]P1(a3,a2)
% 118.23/118.32  [39]P1(a3,a6)
% 118.23/118.32  [40]P1(a3,a7)
% 118.23/118.32  [41]P1(a3,a4)
% 118.23/118.32  [42]P1(a3,a5)
% 118.23/118.32  [43]P1(a4,a1)
% 118.23/118.32  [44]P1(a4,a8)
% 118.23/118.32  [45]P1(a4,a2)
% 118.23/118.32  [46]P1(a4,a6)
% 118.23/118.32  [47]P1(a4,a7)
% 118.23/118.32  [48]P1(a4,a3)
% 118.23/118.32  [49]P1(a4,a5)
% 118.23/118.32  [50]P1(a5,a1)
% 118.23/118.32  [51]P1(a5,a8)
% 118.23/118.32  [52]P1(a5,a2)
% 118.23/118.32  [53]P1(a5,a6)
% 118.23/118.32  [54]P1(a5,a7)
% 118.23/118.32  [55]P1(a5,a3)
% 118.23/118.32  [56]P1(a5,a4)
% 118.23/118.32  [57]P2(a2,a6)
% 118.23/118.32  [58]P2(a2,a7)
% 118.23/118.32  [59]P2(a6,a2)
% 118.23/118.32  [60]P2(a6,a7)
% 118.23/118.32  [61]P2(a7,a2)
% 118.23/118.32  [62]P2(a7,a6)
% 118.23/118.32  [63]P3(a2,a3)
% 118.23/118.32  [64]P3(a2,a4)
% 118.23/118.32  [65]P3(a6,a3)
% 118.23/118.32  [66]P3(a6,a5)
% 118.23/118.32  [67]P3(a7,a4)
% 118.23/118.32  [68]P3(a7,a5)
% 118.23/118.32  [69]P3(a3,a2)
% 118.23/118.32  [70]P3(a3,a6)
% 118.23/118.32  [71]P3(a4,a2)
% 118.23/118.32  [72]P3(a4,a7)
% 118.23/118.32  [73]P3(a5,a6)
% 118.23/118.32  [74]P3(a5,a7)
% 118.23/118.32  [75]P4(a7,a7,a2,a6,a2,a7)
% 118.23/118.32  [76]~P1(a1,a1)
% 118.23/118.32  [77]~P1(a8,a8)
% 118.23/118.32  [78]~P1(a2,a2)
% 118.23/118.32  [79]~P1(a6,a6)
% 118.23/118.32  [80]~P1(a7,a7)
% 118.23/118.32  [81]~P1(a3,a3)
% 118.23/118.32  [82]~P1(a4,a4)
% 118.23/118.32  [83]~P1(a5,a5)
% 118.23/118.32  [84]~P4(a7,a6,a7,a7,a7,a2)
% 118.23/118.32  [85]P4(x851,x852,x853,x854,x855,x854)+~P4(x851,x852,x853,a8,x855,x854)
% 118.23/118.32  [86]P4(x861,x862,x863,x864,x864,x865)+~P4(x861,x862,x863,a1,x864,x865)
% 118.23/118.32  [87]P4(x871,x872,x873,x874,x875,x873)+~P4(x871,x872,a8,x874,x875,x873)
% 118.23/118.32  [88]P4(x881,x882,x883,x884,x883,x885)+~P4(x881,x882,a1,x884,x883,x885)
% 118.23/118.32  [89]P4(x891,x892,x893,x894,x895,x892)+~P4(x891,a8,x893,x894,x895,x892)
% 118.23/118.32  [90]P4(x901,x902,x903,x904,x902,x905)+~P4(x901,a1,x903,x904,x902,x905)
% 118.23/118.32  [91]P4(x911,x912,x913,x914,x915,x911)+~P4(a8,x912,x913,x914,x915,x911)
% 118.23/118.32  [92]P4(x921,x922,x923,x924,x921,x925)+~P4(a1,x922,x923,x924,x921,x925)
% 118.23/118.32  [93]~P4(x931,x934,x932,x933,x934,x935)+P4(x931,a1,x932,x933,x934,x935)
% 118.23/118.32  [94]~P4(x941,x945,x942,x943,x944,x945)+P4(x941,a8,x942,x943,x944,x945)
% 118.23/118.32  [95]~P4(x954,x951,x952,x953,x954,x955)+P4(a1,x951,x952,x953,x954,x955)
% 118.23/118.32  [96]~P4(x965,x961,x962,x963,x964,x965)+P4(a8,x961,x962,x963,x964,x965)
% 118.23/118.32  [99]~P4(x991,x992,x993,x994,x994,x995)+P4(x991,x992,x993,a1,x994,x995)+~P1(x993,a1)
% 118.23/118.32  [100]~P4(x1001,x1002,x1003,x1005,x1004,x1005)+P4(x1001,x1002,x1003,a8,x1004,x1005)+~P1(x1003,a8)
% 118.23/118.32  [103]~P4(x1031,x1032,x1034,x1033,x1034,x1035)+P4(x1031,x1032,a1,x1033,x1034,x1035)+~P1(x1033,a1)
% 118.23/118.32  [104]~P4(x1041,x1042,x1045,x1043,x1044,x1045)+P4(x1041,x1042,a8,x1043,x1044,x1045)+~P1(x1043,a8)
% 118.23/118.32  [97]~P2(x976,x974)+~P4(x971,x972,x973,a1,x976,x975)+P4(x971,x972,x973,a1,x974,x975)
% 118.23/118.32  [98]~P2(x986,x985)+~P4(x981,x982,x983,a8,x984,x986)+P4(x981,x982,x983,a8,x984,x985)
% 118.23/118.32  [101]~P2(x1016,x1014)+~P4(x1011,x1012,a1,x1013,x1016,x1015)+P4(x1011,x1012,a1,x1013,x1014,x1015)
% 118.23/118.32  [102]~P2(x1026,x1025)+~P4(x1021,x1022,a8,x1023,x1024,x1026)+P4(x1021,x1022,a8,x1023,x1024,x1025)
% 118.23/118.32  [105]~P4(x1051,x1052,x1057,x1054,x1055,x1056)+P4(x1051,x1052,x1053,x1054,x1055,x1056)+~P3(x1057,x1053)
% 118.23/118.32  [106]~P4(x1061,x1062,x1063,x1067,x1065,x1066)+P4(x1061,x1062,x1063,x1064,x1065,x1066)+~P3(x1067,x1064)
% 118.23/118.32  %EqnAxiom
% 118.23/118.32  
% 118.23/118.32  %-------------------------------------------
% 118.23/118.33  cnf(107,plain,
% 118.23/118.33     (P4(a7,a7,a3,a6,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[63,75,105])).
% 118.23/118.33  cnf(109,plain,
% 118.23/118.33     (P4(a7,a7,a2,a3,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[63,65,75,105,106])).
% 118.23/118.33  cnf(111,plain,
% 118.23/118.33     (P4(a7,a7,a1,a6,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[22,63,65,75,105,106,103])).
% 118.23/118.33  cnf(113,plain,
% 118.23/118.33     (~P4(x1131,x1132,a8,x1133,x1133,x1134)+P4(x1131,x1132,a8,a1,x1133,x1134)),
% 118.23/118.33     inference(scs_inference,[],[8,22,63,65,75,105,106,103,99])).
% 118.23/118.33  cnf(117,plain,
% 118.23/118.33     (P4(x1171,x1172,a8,a1,x1171,x1173)+~P4(a1,x1172,a8,x1171,x1171,x1173)),
% 118.23/118.33     inference(scs_inference,[],[8,22,63,65,75,105,106,103,99,86,92])).
% 118.23/118.33  cnf(119,plain,
% 118.23/118.33     (P4(a1,x1191,x1192,a1,x1193,x1192)+~P4(a1,x1191,a8,x1193,x1193,x1192)),
% 118.23/118.33     inference(scs_inference,[],[8,22,63,65,75,105,106,103,99,86,92,87])).
% 118.23/118.33  cnf(121,plain,
% 118.23/118.33     (P4(a1,x1211,a8,a1,x1212,x1211)+~P4(a1,a8,a8,x1212,x1212,x1211)),
% 118.23/118.33     inference(scs_inference,[],[8,22,63,65,75,105,106,103,99,86,92,87,89])).
% 118.23/118.33  cnf(128,plain,
% 118.23/118.33     (P4(a7,a7,a4,a3,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[109,64,105])).
% 118.23/118.33  cnf(130,plain,
% 118.23/118.33     (P4(a7,a7,a1,a3,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[109,36,64,105,103])).
% 118.23/118.33  cnf(132,plain,
% 118.23/118.33     (P4(a7,a7,a3,a5,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[107,109,36,64,66,105,103,106])).
% 118.23/118.33  cnf(134,plain,
% 118.23/118.33     (~P4(x1341,x1342,a1,x1343,x1344,x1343)+P4(x1341,x1342,a1,a8,x1344,x1343)),
% 118.23/118.33     inference(scs_inference,[],[107,109,1,36,64,66,105,103,106,100])).
% 118.23/118.33  cnf(140,plain,
% 118.23/118.33     (P4(a8,x1401,x1402,a8,x1402,x1403)+~P4(a8,x1401,a1,x1403,x1402,x1403)),
% 118.23/118.33     inference(scs_inference,[],[107,109,1,36,64,66,105,103,106,100,85,91,88])).
% 118.23/118.33  cnf(142,plain,
% 118.23/118.33     (P4(a8,x1421,a1,a8,x1421,x1422)+~P4(a8,a1,a1,x1422,x1421,x1422)),
% 118.23/118.33     inference(scs_inference,[],[107,109,1,36,64,66,105,103,106,100,85,91,88,90])).
% 118.23/118.33  cnf(149,plain,
% 118.23/118.33     (P4(a7,a7,a2,a5,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[132,69,105])).
% 118.23/118.33  cnf(151,plain,
% 118.23/118.33     (P4(a7,a7,a4,a2,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[128,132,69,105,106])).
% 118.23/118.33  cnf(153,plain,
% 118.23/118.33     (P4(a7,a7,a1,a5,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[128,132,50,69,105,106,103])).
% 118.23/118.33  cnf(157,plain,
% 118.23/118.33     (~P4(x1571,x1572,x1573,a1,x1574,x1573)+P4(x1571,x1572,a8,a1,x1574,x1573)),
% 118.23/118.33     inference(scs_inference,[],[128,132,1,43,50,69,105,106,103,99,104])).
% 118.23/118.33  cnf(162,plain,
% 118.23/118.33     (P4(a7,a7,a6,a6,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[107,70,105])).
% 118.23/118.33  cnf(164,plain,
% 118.23/118.33     (P4(a7,a7,a4,a6,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[107,128,70,105,106])).
% 118.23/118.33  cnf(166,plain,
% 118.23/118.33     (~P4(x1661,x1662,x1663,a6,x1664,x1663)+P4(x1661,x1662,a8,a6,x1664,x1663)),
% 118.23/118.33     inference(scs_inference,[],[107,128,23,70,105,106,104])).
% 118.23/118.33  cnf(193,plain,
% 118.23/118.33     (P4(a7,a7,a2,a2,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[151,71,105])).
% 118.23/118.33  cnf(197,plain,
% 118.23/118.33     (~P4(a7,a6,a7,a4,a7,a2)),
% 118.23/118.33     inference(scs_inference,[],[84,151,71,72,15,105,103,106])).
% 118.23/118.33  cnf(199,plain,
% 118.23/118.33     (P4(a7,a7,a2,a1,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[84,151,71,72,15,105,103,106,99])).
% 118.23/118.33  cnf(225,plain,
% 118.23/118.33     (~P4(a7,a6,a5,a7,a7,a2)),
% 118.23/118.33     inference(scs_inference,[],[84,74,105])).
% 118.23/118.33  cnf(227,plain,
% 118.23/118.33     (P4(a7,a7,a2,a7,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[84,149,74,105,106])).
% 118.23/118.33  cnf(229,plain,
% 118.23/118.33     (~P4(x2291,x2292,x2293,a3,x2294,x2293)+P4(x2291,x2292,a8,a3,x2294,x2293)),
% 118.23/118.33     inference(scs_inference,[],[84,149,37,74,105,106,104])).
% 118.23/118.33  cnf(233,plain,
% 118.23/118.33     (P4(a7,a7,a1,a7,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[84,149,37,74,16,29,105,106,104,100,103])).
% 118.23/118.33  cnf(260,plain,
% 118.23/118.33     (P4(a7,a7,a3,a2,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[193,63,105])).
% 118.23/118.33  cnf(264,plain,
% 118.23/118.33     (P4(a7,a7,a3,a1,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[193,233,1,36,63,105,100,99])).
% 118.23/118.33  cnf(266,plain,
% 118.23/118.33     (P4(a7,a7,a2,a4,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[193,227,233,1,36,67,63,105,100,99,106])).
% 118.23/118.33  cnf(268,plain,
% 118.23/118.33     (~P4(x2681,x2682,x2683,a4,x2684,x2683)+P4(x2681,x2682,a8,a4,x2684,x2683)),
% 118.23/118.33     inference(scs_inference,[],[193,227,233,1,36,44,67,63,105,100,99,106,104])).
% 118.23/118.33  cnf(270,plain,
% 118.23/118.33     (P4(a7,a7,a1,a4,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[193,227,233,1,36,43,44,67,63,105,100,99,106,104,103])).
% 118.23/118.33  cnf(293,plain,
% 118.23/118.33     (P4(a7,a7,a4,a4,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[266,64,105])).
% 118.23/118.33  cnf(295,plain,
% 118.23/118.33     (P4(a7,a7,a3,a4,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[260,266,64,105,106])).
% 118.23/118.33  cnf(297,plain,
% 118.23/118.33     (~P4(x2971,x2972,x2973,a5,x2974,x2973)+P4(x2971,x2972,a8,a5,x2974,x2973)),
% 118.23/118.33     inference(scs_inference,[],[260,266,51,64,105,106,104])).
% 118.23/118.33  cnf(325,plain,
% 118.23/118.33     (P4(a7,a7,a5,a6,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[162,66,105])).
% 118.23/118.33  cnf(327,plain,
% 118.23/118.33     (P4(a7,a7,a6,a3,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[162,65,66,105,106])).
% 118.23/118.33  cnf(329,plain,
% 118.23/118.33     (~P4(x3291,x3292,x3293,a2,x3294,x3293)+P4(x3291,x3292,a8,a2,x3294,x3293)),
% 118.23/118.33     inference(scs_inference,[],[162,16,65,66,105,106,104])).
% 118.23/118.33  cnf(333,plain,
% 118.23/118.33     (P4(x3331,x3332,a8,a2,a2,x3331)+~P4(a8,x3332,x3331,a2,a2,x3331)),
% 118.23/118.33     inference(scs_inference,[],[162,8,16,65,66,105,106,104,99,91])).
% 118.23/118.33  cnf(356,plain,
% 118.23/118.33     (P4(a7,a7,a7,a6,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[164,72,105])).
% 118.23/118.33  cnf(358,plain,
% 118.23/118.33     (P4(a7,a7,a8,a6,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[164,72,23,105,104])).
% 118.23/118.33  cnf(360,plain,
% 118.23/118.33     (P4(a7,a7,a4,a7,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[164,293,72,23,105,104,106])).
% 118.23/118.33  cnf(362,plain,
% 118.23/118.33     (~P4(x3621,x3622,a7,x3623,x3624,x3623)+P4(x3621,x3622,a7,a8,x3624,x3623)),
% 118.23/118.33     inference(scs_inference,[],[164,293,30,72,23,105,104,106,100])).
% 118.23/118.33  cnf(373,plain,
% 118.23/118.33     (P4(a7,a7,a3,a3,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[327,65,105])).
% 118.23/118.33  cnf(377,plain,
% 118.23/118.33     (P4(a7,a7,a4,a5,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[327,360,68,44,65,105,100,106])).
% 118.23/118.33  cnf(379,plain,
% 118.23/118.33     (~P4(x3791,x3792,a6,x3793,x3793,x3794)+P4(x3791,x3792,a6,a1,x3793,x3794)),
% 118.23/118.33     inference(scs_inference,[],[327,360,22,68,44,65,105,100,106,99])).
% 118.23/118.33  cnf(394,plain,
% 118.23/118.33     (P4(a7,a7,a7,a5,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[356,327,66,105,106])).
% 118.23/118.33  cnf(396,plain,
% 118.23/118.33     (P4(a7,a7,a8,a5,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[356,327,51,66,105,106,104])).
% 118.23/118.33  cnf(404,plain,
% 118.23/118.33     (P4(a8,x4041,a3,a8,x4042,x4041)+~P4(a8,a8,a3,x4041,x4042,x4041)),
% 118.23/118.33     inference(scs_inference,[],[356,327,37,51,66,105,106,104,100,85,91,89])).
% 118.23/118.33  cnf(411,plain,
% 118.23/118.33     (P4(a7,a7,a5,a5,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[394,68,105])).
% 118.23/118.33  cnf(413,plain,
% 118.23/118.33     (P4(a7,a7,a7,a7,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[394,68,74,105,106])).
% 118.23/118.33  cnf(419,plain,
% 118.23/118.33     (~P4(x4191,x4192,a5,x4193,x4193,x4194)+P4(x4191,x4192,a5,a1,x4193,x4194)),
% 118.23/118.33     inference(scs_inference,[],[394,50,30,68,74,105,106,104,100,99])).
% 118.23/118.33  cnf(431,plain,
% 118.23/118.33     (P4(a7,a7,a5,a7,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[413,68,105])).
% 118.23/118.33  cnf(433,plain,
% 118.23/118.33     (P4(a7,a7,a5,a8,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[413,51,68,105,100])).
% 118.23/118.33  cnf(435,plain,
% 118.23/118.33     (P4(a7,a7,a7,a4,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[413,51,67,68,105,100,106])).
% 118.23/118.33  cnf(437,plain,
% 118.23/118.33     (P4(a7,a7,a8,a4,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[413,44,51,67,68,105,100,106,104])).
% 118.23/118.33  cnf(441,plain,
% 118.23/118.33     (~P4(x4411,x4412,a7,x4413,x4413,x4411)+P4(a8,x4412,a7,a1,x4413,x4411)),
% 118.23/118.33     inference(scs_inference,[],[413,29,44,51,67,68,105,100,106,104,99,96])).
% 118.23/118.33  cnf(443,plain,
% 118.23/118.33     (~P4(a8,x4431,a7,x4431,x4431,x4432)+P4(a8,a1,a7,a1,x4431,x4432)),
% 118.23/118.33     inference(scs_inference,[],[413,29,44,51,67,68,105,100,106,104,99,96,93])).
% 118.23/118.33  cnf(449,plain,
% 118.23/118.33     (P4(a7,a7,a6,a4,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[295,70,105])).
% 118.23/118.33  cnf(451,plain,
% 118.23/118.33     (P4(a7,a7,a7,a2,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[435,295,71,70,105,106])).
% 118.23/118.33  cnf(453,plain,
% 118.23/118.33     (P4(a7,a7,a8,a2,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[435,295,16,71,70,105,106,104])).
% 118.23/118.33  cnf(455,plain,
% 118.23/118.33     (P4(a7,a7,a7,a1,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[435,295,29,16,71,70,105,106,104,99])).
% 118.23/118.33  cnf(457,plain,
% 118.23/118.33     (~P4(x4571,x4572,a6,x4573,x4574,x4573)+P4(x4571,x4572,a6,a8,x4574,x4573)),
% 118.23/118.33     inference(scs_inference,[],[435,295,29,16,71,70,23,105,106,104,99,100])).
% 118.23/118.33  cnf(466,plain,
% 118.23/118.33     (P4(a7,a7,a6,a7,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[431,73,105])).
% 118.23/118.33  cnf(468,plain,
% 118.23/118.33     (P4(a7,a7,a8,a1,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[431,455,1,73,105,104])).
% 118.23/118.33  cnf(470,plain,
% 118.23/118.33     (P4(a7,a7,a6,a8,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[431,455,1,73,23,105,104,100])).
% 118.23/118.33  cnf(472,plain,
% 118.23/118.33     (P4(a7,a7,a7,a3,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[431,451,455,1,73,63,23,105,104,100,106])).
% 118.23/118.33  cnf(474,plain,
% 118.23/118.33     (P4(a7,a8,a8,a1,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[453,113,94])).
% 118.23/118.33  cnf(475,plain,
% 118.23/118.33     (P4(a7,a8,a7,a1,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[474,87])).
% 118.23/118.33  cnf(477,plain,
% 118.23/118.33     (P4(a7,a8,a8,a2,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[474,87,86])).
% 118.23/118.33  cnf(481,plain,
% 118.23/118.33     (P4(a7,a7,a8,a3,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[466,472,474,37,65,87,86,105,104])).
% 118.23/118.33  cnf(483,plain,
% 118.23/118.33     (P4(a7,a7,a3,a8,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[466,472,474,37,65,87,86,105,104,100])).
% 118.23/118.33  cnf(485,plain,
% 118.23/118.33     (P4(a7,a7,a6,a2,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[466,472,449,474,37,71,65,87,86,105,104,100,106])).
% 118.23/118.33  cnf(487,plain,
% 118.23/118.33     (P4(a7,a7,a6,a1,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[466,472,449,474,22,37,71,65,87,86,105,104,100,106,99])).
% 118.23/118.33  cnf(489,plain,
% 118.23/118.33     (P4(a7,a8,a7,a2,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[477,87])).
% 118.23/118.33  cnf(491,plain,
% 118.23/118.33     (P4(a7,a7,a5,a2,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[477,485,66,87,105])).
% 118.23/118.33  cnf(493,plain,
% 118.23/118.33     (P4(a7,a7,a5,a1,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[477,485,50,66,87,105,99])).
% 118.23/118.33  cnf(495,plain,
% 118.23/118.33     (P4(a7,a8,a8,a3,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[477,485,50,63,66,87,105,99,106])).
% 118.23/118.33  cnf(497,plain,
% 118.23/118.33     (P4(a7,a8,a7,a3,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[495,87])).
% 118.23/118.33  cnf(499,plain,
% 118.23/118.33     (P4(a7,a8,a8,a4,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[477,495,64,87,106])).
% 118.23/118.33  cnf(501,plain,
% 118.23/118.33     (P4(a7,a8,a7,a4,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[499,87])).
% 118.23/118.33  cnf(503,plain,
% 118.23/118.33     (P4(a7,a8,a8,a7,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[499,72,87,106])).
% 118.23/118.33  cnf(505,plain,
% 118.23/118.33     (P4(a7,a8,a7,a7,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[503,87])).
% 118.23/118.33  cnf(508,plain,
% 118.23/118.33     (P4(a7,a8,a1,a8,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[233,134,94])).
% 118.23/118.33  cnf(509,plain,
% 118.23/118.33     (P4(a7,a8,a1,a7,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[508,85])).
% 118.23/118.33  cnf(511,plain,
% 118.23/118.33     (P4(a7,a8,a2,a8,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[508,85,88])).
% 118.23/118.33  cnf(513,plain,
% 118.23/118.33     (P4(a7,a8,a2,a7,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[511,85])).
% 118.23/118.33  cnf(515,plain,
% 118.23/118.33     (P4(a7,a8,a3,a8,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[511,63,85,105])).
% 118.23/118.33  cnf(520,plain,
% 118.23/118.33     (P4(a7,a8,a4,a7,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[513,515,64,85,105])).
% 118.23/118.33  cnf(522,plain,
% 118.23/118.33     (P4(a8,a8,a2,a8,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[509,140,96])).
% 118.23/118.33  cnf(523,plain,
% 118.23/118.33     (P4(a8,a8,a2,a7,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[522,85])).
% 118.23/118.33  cnf(525,plain,
% 118.23/118.33     (P4(a8,a7,a2,a8,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[522,85,89])).
% 118.23/118.33  cnf(527,plain,
% 118.23/118.33     (P4(a8,a8,a1,a8,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[522,8,85,89,103])).
% 118.23/118.33  cnf(529,plain,
% 118.23/118.33     (P4(a8,a8,a3,a8,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[522,8,63,85,89,103,105])).
% 118.23/118.33  cnf(531,plain,
% 118.23/118.33     (P4(a7,a8,a4,a8,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[520,522,8,44,63,85,89,103,105,100])).
% 118.23/118.33  cnf(534,plain,
% 118.23/118.33     (P4(a8,a8,a3,a7,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[529,85])).
% 118.23/118.33  cnf(538,plain,
% 118.23/118.33     (P4(a8,a8,a1,a7,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[523,529,29,85,89,103])).
% 118.23/118.33  cnf(540,plain,
% 118.23/118.33     (P4(a8,a8,a4,a7,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[523,529,29,64,85,89,103,105])).
% 118.23/118.33  cnf(542,plain,
% 118.23/118.33     (P4(a8,a7,a3,a8,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[523,529,29,64,85,89,103,105,404])).
% 118.23/118.33  cnf(549,plain,
% 118.23/118.33     (P4(a8,a8,a4,a8,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[540,542,44,85,89,100])).
% 118.23/118.33  cnf(551,plain,
% 118.23/118.33     (P4(a8,a7,a8,a1,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[451,157,441])).
% 118.23/118.33  cnf(552,plain,
% 118.23/118.33     (P4(a8,a7,a7,a1,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[551,87])).
% 118.23/118.33  cnf(554,plain,
% 118.23/118.33     (P4(a8,a7,a8,a2,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[551,87,86])).
% 118.23/118.33  cnf(556,plain,
% 118.23/118.33     (P4(a8,a7,a4,a8,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[549,551,87,86,89])).
% 118.23/118.33  cnf(559,plain,
% 118.23/118.33     (P4(a8,a7,a7,a2,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[554,87])).
% 118.23/118.33  cnf(561,plain,
% 118.23/118.33     (P4(a8,a7,a1,a7,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[554,538,87,89])).
% 118.23/118.33  cnf(563,plain,
% 118.23/118.33     (P4(a8,a7,a8,a3,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[554,538,63,87,89,106])).
% 118.23/118.33  cnf(565,plain,
% 118.23/118.33     (P4(a7,a8,a8,a6,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[356,166,94])).
% 118.23/118.33  cnf(566,plain,
% 118.23/118.33     (P4(a8,a7,a7,a3,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[563,87])).
% 118.23/118.33  cnf(568,plain,
% 118.23/118.33     (P4(a8,a7,a1,a8,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[563,527,87,89])).
% 118.23/118.33  cnf(572,plain,
% 118.23/118.33     (P4(a8,a7,a8,a4,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[554,563,435,527,68,64,87,89,105,106])).
% 118.23/118.33  cnf(575,plain,
% 118.23/118.33     (P4(a8,a7,a7,a4,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[572,87])).
% 118.23/118.33  cnf(583,plain,
% 118.23/118.33     (P4(a7,a8,a7,a6,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[565,87])).
% 118.23/118.33  cnf(603,plain,
% 118.23/118.33     (P4(a7,a7,a8,a3,a2,a2)),
% 118.23/118.33     inference(scs_inference,[],[472,61,229,102])).
% 118.23/118.33  cnf(604,plain,
% 118.23/118.33     (P4(a7,a7,a2,a3,a2,a2)),
% 118.23/118.33     inference(scs_inference,[],[603,87])).
% 118.23/118.33  cnf(617,plain,
% 118.23/118.33     (P4(a7,a7,a8,a4,a2,a6)),
% 118.23/118.33     inference(scs_inference,[],[435,62,268,102])).
% 118.23/118.33  cnf(618,plain,
% 118.23/118.33     (P4(a7,a7,a6,a4,a2,a6)),
% 118.23/118.33     inference(scs_inference,[],[617,87])).
% 118.23/118.33  cnf(625,plain,
% 118.23/118.33     (P4(a7,a7,a6,a5,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[132,70,105])).
% 118.23/118.33  cnf(630,plain,
% 118.23/118.33     (P4(a7,a8,a8,a5,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[394,297,94])).
% 118.23/118.33  cnf(631,plain,
% 118.23/118.33     (P4(a7,a8,a7,a5,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[630,87])).
% 118.23/118.33  cnf(645,plain,
% 118.23/118.33     (P4(a7,a7,a8,a2,a2,a2)),
% 118.23/118.33     inference(scs_inference,[],[451,61,329,102])).
% 118.23/118.33  cnf(646,plain,
% 118.23/118.33     (P4(a7,a7,a2,a2,a2,a2)),
% 118.23/118.33     inference(scs_inference,[],[645,87])).
% 118.23/118.33  cnf(649,plain,
% 118.23/118.33     (P4(a7,a7,a8,a2,a2,a6)),
% 118.23/118.33     inference(scs_inference,[],[559,62,333,102])).
% 118.23/118.33  cnf(650,plain,
% 118.23/118.33     (P4(a7,a7,a6,a2,a2,a6)),
% 118.23/118.33     inference(scs_inference,[],[649,87])).
% 118.23/118.33  cnf(661,plain,
% 118.23/118.33     (P4(a8,a7,a7,a8,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[413,362,96])).
% 118.23/118.33  cnf(665,plain,
% 118.23/118.33     (P4(a7,a8,a6,a1,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[485,379,94])).
% 118.23/118.33  cnf(666,plain,
% 118.23/118.33     (P4(a7,a8,a6,a2,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[665,86])).
% 118.23/118.33  cnf(669,plain,
% 118.23/118.33     (P4(a7,a8,a3,a2,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[666,65,105])).
% 118.23/118.33  cnf(671,plain,
% 118.23/118.33     (P4(a7,a8,a6,a3,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[666,65,63,105,106])).
% 118.23/118.33  cnf(675,plain,
% 118.23/118.33     (P4(a7,a8,a3,a1,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[666,669,36,66,105,99])).
% 118.23/118.33  cnf(677,plain,
% 118.23/118.33     (P4(a7,a8,a6,a4,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[666,669,36,66,64,105,99,106])).
% 118.23/118.33  cnf(680,plain,
% 118.23/118.33     (P4(a7,a8,a6,a7,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[677,72,106])).
% 118.23/118.33  cnf(683,plain,
% 118.23/118.33     (P4(a7,a8,a6,a8,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[680,23,100])).
% 118.23/118.33  cnf(685,plain,
% 118.23/118.33     (~P4(a7,a6,a7,a5,a7,a2)),
% 118.23/118.33     inference(scs_inference,[],[84,680,74,23,100,106])).
% 118.23/118.33  cnf(687,plain,
% 118.23/118.33     (~P4(a7,a6,a7,a6,a7,a2)),
% 118.23/118.33     inference(scs_inference,[],[685,66,106])).
% 118.23/118.33  cnf(690,plain,
% 118.23/118.33     (~P4(a7,a6,a7,a3,a7,a2)),
% 118.23/118.33     inference(scs_inference,[],[687,70,106])).
% 118.23/118.33  cnf(693,plain,
% 118.23/118.33     (~P4(a7,a6,a7,a2,a7,a2)),
% 118.23/118.33     inference(scs_inference,[],[690,63,106])).
% 118.23/118.33  cnf(696,plain,
% 118.23/118.33     (P4(a7,a8,a5,a1,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[491,419,94])).
% 118.23/118.33  cnf(703,plain,
% 118.23/118.33     (~P4(a8,a7,a1,a7,a7,x7031)+P4(a8,a1,a7,a1,a7,x7031)),
% 118.23/118.33     inference(scs_inference,[],[443,88])).
% 118.23/118.33  cnf(706,plain,
% 118.23/118.33     (P4(a8,a7,a6,a8,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[466,457,96])).
% 118.23/118.33  cnf(715,plain,
% 118.23/118.33     (P4(a7,a8,a4,a1,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[475,67,105])).
% 118.23/118.33  cnf(717,plain,
% 118.23/118.33     (P4(a7,a8,a4,a2,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[475,67,105,86])).
% 118.23/118.33  cnf(720,plain,
% 118.23/118.33     (P4(a7,a8,a2,a2,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[717,71,105])).
% 118.23/118.33  cnf(723,plain,
% 118.23/118.33     (P4(a7,a8,a1,a2,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[720,15,103])).
% 118.23/118.33  cnf(739,plain,
% 118.23/118.33     (P4(a7,a8,a4,a3,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[497,67,105])).
% 118.23/118.33  cnf(742,plain,
% 118.23/118.33     (P4(a7,a8,a5,a3,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[497,68,105])).
% 118.23/118.33  cnf(747,plain,
% 118.23/118.33     (P4(a7,a8,a4,a4,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[501,67,105])).
% 118.23/118.33  cnf(750,plain,
% 118.23/118.33     (P4(a7,a8,a5,a4,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[501,68,105])).
% 118.23/118.33  cnf(755,plain,
% 118.23/118.33     (P4(a7,a8,a5,a7,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[505,68,105])).
% 118.23/118.33  cnf(760,plain,
% 118.23/118.33     (P4(a7,a8,a5,a8,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[755,51,100])).
% 118.23/118.33  cnf(775,plain,
% 118.23/118.33     (P4(a8,a8,a6,a8,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[529,70,105])).
% 118.23/118.33  cnf(785,plain,
% 118.23/118.33     (P4(a8,a8,a7,a7,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[540,72,105])).
% 118.23/118.33  cnf(788,plain,
% 118.23/118.33     (P4(a8,a8,a8,a7,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[785,30,104])).
% 118.23/118.33  cnf(790,plain,
% 118.23/118.33     (P4(a8,a8,a5,a7,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[785,30,68,104,105])).
% 118.23/118.33  cnf(792,plain,
% 118.23/118.33     (P4(a8,a8,a7,a8,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[785,30,68,104,105,100])).
% 118.23/118.33  cnf(797,plain,
% 118.23/118.33     (P4(a8,a8,a5,a8,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[790,51,100])).
% 118.23/118.33  cnf(799,plain,
% 118.23/118.33     (P4(a8,a7,a5,a8,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[790,51,100,89])).
% 118.23/118.33  cnf(808,plain,
% 118.23/118.33     (P4(a8,a7,a4,a1,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[552,67,105])).
% 118.23/118.33  cnf(810,plain,
% 118.23/118.33     (P4(a8,a7,a4,a2,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[552,67,105,86])).
% 118.23/118.33  cnf(813,plain,
% 118.23/118.33     (P4(a8,a7,a2,a2,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[810,71,105])).
% 118.23/118.33  cnf(816,plain,
% 118.23/118.33     (P4(a8,a7,a1,a2,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[813,15,103])).
% 118.23/118.33  cnf(818,plain,
% 118.23/118.33     (P4(a8,a7,a5,a1,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[552,813,15,68,103,105])).
% 118.23/118.33  cnf(820,plain,
% 118.23/118.33     (P4(a8,a7,a2,a1,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[552,813,15,68,103,105,99])).
% 118.23/118.33  cnf(822,plain,
% 118.23/118.33     (P4(a8,a7,a5,a2,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[552,813,15,68,103,105,99,86])).
% 118.23/118.33  cnf(825,plain,
% 118.23/118.33     (P4(a8,a7,a6,a2,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[822,73,105])).
% 118.23/118.33  cnf(835,plain,
% 118.23/118.33     (P4(a8,a7,a4,a3,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[566,67,105])).
% 118.23/118.33  cnf(838,plain,
% 118.23/118.33     (P4(a8,a7,a5,a3,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[566,68,105])).
% 118.23/118.33  cnf(845,plain,
% 118.23/118.33     (P4(a8,a7,a4,a4,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[575,67,105])).
% 118.23/118.33  cnf(848,plain,
% 118.23/118.33     (P4(a8,a7,a5,a4,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[575,68,105])).
% 118.23/118.33  cnf(854,plain,
% 118.23/118.33     (P4(a7,a8,a4,a6,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[583,67,105])).
% 118.23/118.33  cnf(860,plain,
% 118.23/118.33     (P4(a8,a1,a8,a1,a7,a7)+~P4(a8,a7,a1,a7,a7,a7)),
% 118.23/118.33     inference(scs_inference,[],[703,157])).
% 118.23/118.33  cnf(862,plain,
% 118.23/118.33     (P4(a7,a7,a1,a3,a2,a2)),
% 118.23/118.33     inference(scs_inference,[],[604,36,103])).
% 118.23/118.33  cnf(864,plain,
% 118.23/118.33     (P4(a7,a7,a4,a3,a2,a2)),
% 118.23/118.33     inference(scs_inference,[],[604,36,64,103,105])).
% 118.23/118.33  cnf(867,plain,
% 118.23/118.33     (P4(a7,a7,a3,a3,a2,a2)),
% 118.23/118.33     inference(scs_inference,[],[604,63,105])).
% 118.23/118.33  cnf(872,plain,
% 118.23/118.33     (P4(a7,a7,a3,a4,a2,a6)),
% 118.23/118.33     inference(scs_inference,[],[618,65,105])).
% 118.23/118.33  cnf(875,plain,
% 118.23/118.33     (P4(a7,a7,a5,a4,a2,a6)),
% 118.23/118.33     inference(scs_inference,[],[618,66,105])).
% 118.23/118.33  cnf(881,plain,
% 118.23/118.33     (P4(a7,a8,a4,a5,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[631,67,105])).
% 118.23/118.33  cnf(884,plain,
% 118.23/118.33     (P4(a7,a8,a5,a5,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[631,68,105])).
% 118.23/118.33  cnf(888,plain,
% 118.23/118.33     (P4(a7,a7,a8,a1,a2,a2)),
% 118.23/118.33     inference(scs_inference,[],[645,8,99])).
% 118.23/118.33  cnf(894,plain,
% 118.23/118.33     (P4(a7,a7,a1,a2,a2,a2)),
% 118.23/118.33     inference(scs_inference,[],[646,15,103])).
% 118.23/118.33  cnf(896,plain,
% 118.23/118.33     (P4(a7,a7,a2,a8,a2,a2)),
% 118.23/118.33     inference(scs_inference,[],[646,15,16,103,100])).
% 118.23/118.33  cnf(898,plain,
% 118.23/118.33     (P4(a7,a7,a4,a2,a2,a2)),
% 118.23/118.33     inference(scs_inference,[],[646,15,16,64,103,100,105])).
% 118.23/118.33  cnf(901,plain,
% 118.23/118.33     (P4(a7,a7,a4,a8,a2,a2)),
% 118.23/118.33     inference(scs_inference,[],[898,44,100])).
% 118.23/118.33  cnf(903,plain,
% 118.23/118.33     (P4(a7,a7,a3,a2,a2,a2)),
% 118.23/118.33     inference(scs_inference,[],[646,898,44,63,100,105])).
% 118.23/118.33  cnf(906,plain,
% 118.23/118.33     (P4(a7,a7,a3,a1,a2,a2)),
% 118.23/118.33     inference(scs_inference,[],[903,36,99])).
% 118.23/118.33  cnf(910,plain,
% 118.23/118.33     (P4(a7,a7,a8,a1,a2,a6)),
% 118.23/118.33     inference(scs_inference,[],[649,8,99])).
% 118.23/118.33  cnf(912,plain,
% 118.23/118.33     (P4(a7,a7,a6,a1,a2,a6)),
% 118.23/118.33     inference(scs_inference,[],[649,8,99,87])).
% 118.23/118.33  cnf(916,plain,
% 118.23/118.33     (P4(a7,a7,a3,a2,a2,a6)),
% 118.23/118.33     inference(scs_inference,[],[650,65,105])).
% 118.23/118.33  cnf(919,plain,
% 118.23/118.33     (P4(a7,a7,a3,a1,a2,a6)),
% 118.23/118.33     inference(scs_inference,[],[916,36,99])).
% 118.23/118.33  cnf(921,plain,
% 118.23/118.33     (P4(a7,a7,a5,a2,a2,a6)),
% 118.23/118.33     inference(scs_inference,[],[650,916,36,66,99,105])).
% 118.23/118.33  cnf(929,plain,
% 118.23/118.33     (P4(a7,a8,a3,a3,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[671,65,105])).
% 118.23/118.33  cnf(953,plain,
% 118.23/118.33     (P4(a7,a8,a2,a3,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[739,71,105])).
% 118.23/118.33  cnf(956,plain,
% 118.23/118.33     (P4(a7,a8,a1,a3,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[953,36,103])).
% 118.23/118.33  cnf(961,plain,
% 118.23/118.33     (P4(a7,a8,a2,a4,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[747,71,105])).
% 118.23/118.33  cnf(964,plain,
% 118.23/118.33     (P4(a7,a8,a1,a4,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[961,43,103])).
% 118.23/118.33  cnf(983,plain,
% 118.23/118.33     (P4(a8,a7,a3,a2,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[813,63,105])).
% 118.23/118.33  cnf(986,plain,
% 118.23/118.33     (P4(a8,a7,a3,a1,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[983,36,99])).
% 118.23/118.33  cnf(991,plain,
% 118.23/118.33     (P4(a8,a7,a6,a1,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[818,73,105])).
% 118.23/118.33  cnf(996,plain,
% 118.23/118.33     (P4(a8,a7,a8,a1,a7,a7)+~P4(a8,a7,a1,a7,a7,a7)),
% 118.23/118.33     inference(scs_inference,[],[860,90])).
% 118.23/118.33  cnf(998,plain,
% 118.23/118.33     (P4(a8,a7,a2,a3,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[835,71,105])).
% 118.23/118.33  cnf(1001,plain,
% 118.23/118.33     (P4(a8,a7,a1,a3,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[998,36,103])).
% 118.23/118.33  cnf(1003,plain,
% 118.23/118.33     (~P4(a7,a6,a4,a7,a7,a2)),
% 118.23/118.33     inference(scs_inference,[],[84,998,36,72,103,105])).
% 118.23/118.33  cnf(1006,plain,
% 118.23/118.33     (~P4(a7,a6,a6,a7,a7,a2)),
% 118.23/118.33     inference(scs_inference,[],[225,66,105])).
% 118.23/118.33  cnf(1009,plain,
% 118.23/118.33     (~P4(a7,a6,a3,a7,a7,a2)),
% 118.23/118.33     inference(scs_inference,[],[1006,70,105])).
% 118.23/118.33  cnf(1011,plain,
% 118.23/118.33     (~P4(a7,a6,a2,a7,a7,a2)),
% 118.23/118.33     inference(scs_inference,[],[1003,64,105])).
% 118.23/118.33  cnf(1029,plain,
% 118.23/118.33     (P4(a7,a7,a1,a8,a2,a2)),
% 118.23/118.33     inference(scs_inference,[],[894,1,100])).
% 118.23/118.33  cnf(1034,plain,
% 118.23/118.33     (P4(a7,a7,a4,a1,a2,a2)),
% 118.23/118.33     inference(scs_inference,[],[898,43,99])).
% 118.23/118.33  cnf(1048,plain,
% 118.23/118.33     (P4(a7,a7,a5,a1,a2,a6)),
% 118.23/118.33     inference(scs_inference,[],[921,50,99])).
% 118.23/118.33  cnf(1063,plain,
% 118.23/118.33     (~P4(a7,a6,a4,a5,a7,a2)),
% 118.23/118.33     inference(scs_inference,[],[1003,74,106])).
% 118.23/118.33  cnf(1066,plain,
% 118.23/118.33     (~P4(a7,a6,a4,a4,a7,a2)),
% 118.23/118.33     inference(scs_inference,[],[1003,72,106])).
% 118.23/118.33  cnf(1069,plain,
% 118.23/118.33     (~P4(a7,a6,a4,a6,a7,a2)),
% 118.23/118.33     inference(scs_inference,[],[1063,66,106])).
% 118.23/118.33  cnf(1072,plain,
% 118.23/118.33     (~P4(a7,a6,a4,a3,a7,a2)),
% 118.23/118.33     inference(scs_inference,[],[1069,70,106])).
% 118.23/118.33  cnf(1075,plain,
% 118.23/118.33     (~P4(a7,a6,a4,a2,a7,a2)),
% 118.23/118.33     inference(scs_inference,[],[1072,63,106])).
% 118.23/118.33  cnf(1079,plain,
% 118.23/118.33     (~P4(a7,a6,a6,a5,a7,a2)),
% 118.23/118.33     inference(scs_inference,[],[1006,74,106])).
% 118.23/118.33  cnf(1081,plain,
% 118.23/118.33     (~P4(a7,a6,a2,a4,a7,a2)),
% 118.23/118.33     inference(scs_inference,[],[1006,1066,74,64,106,105])).
% 118.23/118.33  cnf(1084,plain,
% 118.23/118.33     (~P4(a7,a6,a6,a4,a7,a2)),
% 118.23/118.33     inference(scs_inference,[],[1006,72,106])).
% 118.23/118.33  cnf(1086,plain,
% 118.23/118.33     (~P4(a7,a6,a2,a2,a7,a2)),
% 118.23/118.33     inference(scs_inference,[],[1006,1075,72,64,106,105])).
% 118.23/118.33  cnf(1089,plain,
% 118.23/118.33     (~P4(a7,a6,a6,a6,a7,a2)),
% 118.23/118.33     inference(scs_inference,[],[1079,66,106])).
% 118.23/118.33  cnf(1091,plain,
% 118.23/118.33     (~P4(a7,a6,a2,a5,a7,a2)),
% 118.23/118.33     inference(scs_inference,[],[1079,1063,66,64,106,105])).
% 118.23/118.33  cnf(1094,plain,
% 118.23/118.33     (~P4(a7,a6,a6,a3,a7,a2)),
% 118.23/118.33     inference(scs_inference,[],[1089,70,106])).
% 118.23/118.33  cnf(1097,plain,
% 118.23/118.33     (~P4(a7,a6,a2,a6,a7,a2)),
% 118.23/118.33     inference(scs_inference,[],[1091,66,106])).
% 118.23/118.33  cnf(1100,plain,
% 118.23/118.33     (~P4(a7,a6,a2,a3,a7,a2)),
% 118.23/118.33     inference(scs_inference,[],[1097,70,106])).
% 118.23/118.33  cnf(1103,plain,
% 118.23/118.33     (~P4(a7,a6,a6,a2,a7,a2)),
% 118.23/118.33     inference(scs_inference,[],[1094,63,106])).
% 118.23/118.33  cnf(1107,plain,
% 118.23/118.33     (~P4(a7,a6,a5,a4,a7,a2)),
% 118.23/118.33     inference(scs_inference,[],[1084,73,105])).
% 118.23/118.33  cnf(1109,plain,
% 118.23/118.33     (~P4(a7,a6,a3,a5,a7,a2)),
% 118.23/118.33     inference(scs_inference,[],[1009,1084,73,74,105,106])).
% 118.23/118.33  cnf(1112,plain,
% 118.23/118.33     (~P4(a7,a6,a5,a2,a7,a2)),
% 118.23/118.33     inference(scs_inference,[],[1103,73,105])).
% 118.23/118.33  cnf(1114,plain,
% 118.23/118.33     (~P4(a7,a6,a3,a4,a7,a2)),
% 118.23/118.33     inference(scs_inference,[],[1009,1103,73,72,105,106])).
% 118.23/118.33  cnf(1117,plain,
% 118.23/118.33     (~P4(a7,a6,a5,a5,a7,a2)),
% 118.23/118.33     inference(scs_inference,[],[1079,73,105])).
% 118.23/118.33  cnf(1119,plain,
% 118.23/118.33     (~P4(a7,a6,a3,a6,a7,a2)),
% 118.23/118.33     inference(scs_inference,[],[1109,1079,73,66,105,106])).
% 118.23/118.33  cnf(1122,plain,
% 118.23/118.33     (~P4(a7,a6,a3,a3,a7,a2)),
% 118.23/118.33     inference(scs_inference,[],[1119,70,106])).
% 118.23/118.33  cnf(1125,plain,
% 118.23/118.33     (~P4(a7,a6,a5,a6,a7,a2)),
% 118.23/118.33     inference(scs_inference,[],[1117,66,106])).
% 118.23/118.33  cnf(1128,plain,
% 118.23/118.33     (~P4(a7,a6,a5,a3,a7,a2)),
% 118.23/118.33     inference(scs_inference,[],[1125,70,106])).
% 118.23/118.33  cnf(1139,plain,
% 118.23/118.33     (P4(a8,a7,a8,a7,a7,a7)+~P4(a8,a7,a1,a7,a7,a7)),
% 118.23/118.33     inference(scs_inference,[],[996,86])).
% 118.23/118.33  cnf(1145,plain,
% 118.23/118.33     (~P4(a7,a6,a3,a2,a7,a2)),
% 118.23/118.33     inference(scs_inference,[],[1086,69,105])).
% 118.23/118.33  cnf(1215,plain,
% 118.23/118.33     (P4(a7,a7,a8,a7,a7,a7)+~P4(a8,a7,a1,a7,a7,a7)),
% 118.23/118.33     inference(scs_inference,[],[1139,91])).
% 118.23/118.33  cnf(1288,plain,
% 118.23/118.33     (P4(a7,a7,a8,a1,a7,a7)+~P4(a8,a7,a1,a7,a7,a7)),
% 118.23/118.33     inference(scs_inference,[],[1215,113])).
% 118.23/118.33  cnf(1361,plain,
% 118.23/118.33     (P4(a7,a1,a8,a1,a7,a7)+~P4(a8,a7,a1,a7,a7,a7)),
% 118.23/118.33     inference(scs_inference,[],[1288,93])).
% 118.23/118.33  cnf(1433,plain,
% 118.23/118.33     (P4(a1,a1,a8,a1,a7,a7)+~P4(a8,a7,a1,a7,a7,a7)),
% 118.23/118.33     inference(scs_inference,[],[1361,95])).
% 118.23/118.33  cnf(1505,plain,
% 118.23/118.33     (P4(a1,a1,a7,a1,a7,a7)+~P4(a8,a7,a1,a7,a7,a7)),
% 118.23/118.33     inference(scs_inference,[],[1433,87])).
% 118.23/118.33  cnf(1577,plain,
% 118.23/118.33     (P4(a1,a7,a7,a1,a7,a7)+~P4(a8,a7,a1,a7,a7,a7)),
% 118.23/118.33     inference(scs_inference,[],[1505,90])).
% 118.23/118.33  cnf(1649,plain,
% 118.23/118.33     (P4(a1,a7,a8,a1,a7,a7)+~P4(a8,a7,a1,a7,a7,a7)),
% 118.23/118.33     inference(scs_inference,[],[1577,157])).
% 118.23/118.33  cnf(1721,plain,
% 118.23/118.33     (P4(a1,a8,a8,a1,a7,a7)+~P4(a8,a7,a1,a7,a7,a7)),
% 118.23/118.33     inference(scs_inference,[],[1649,94])).
% 118.23/118.33  cnf(1792,plain,
% 118.23/118.33     (P4(a7,a8,a8,a1,a7,a7)+~P4(a8,a7,a1,a7,a7,a7)),
% 118.23/118.33     inference(scs_inference,[],[1721,92])).
% 118.23/118.33  cnf(1859,plain,
% 118.23/118.33     (P4(a7,a8,a7,a1,a7,a7)+~P4(a8,a7,a1,a7,a7,a7)),
% 118.23/118.33     inference(scs_inference,[],[1792,87])).
% 118.23/118.33  cnf(1924,plain,
% 118.23/118.33     (P4(a7,a7,a7,a1,a7,a7)+~P4(a8,a7,a1,a7,a7,a7)),
% 118.23/118.33     inference(scs_inference,[],[1859,89])).
% 118.23/118.33  cnf(2011,plain,
% 118.23/118.33     (P4(a8,a7,a5,a6,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[325,489,441,96])).
% 118.23/118.33  cnf(2015,plain,
% 118.23/118.33     (~P4(a7,a6,a7,a8,a7,a2)),
% 118.23/118.33     inference(scs_inference,[],[325,489,693,825,441,96,94,85])).
% 118.23/118.33  cnf(2017,plain,
% 118.23/118.33     (~P4(a1,a6,a7,a4,a7,a2)),
% 118.23/118.33     inference(scs_inference,[],[197,325,489,693,825,441,96,94,85,92])).
% 118.23/118.33  cnf(2021,plain,
% 118.23/118.33     (~P4(a7,a6,a8,a7,a7,a2)),
% 118.23/118.33     inference(scs_inference,[],[197,325,489,693,825,1011,441,96,94,85,92,88,87])).
% 118.23/118.33  cnf(2023,plain,
% 118.23/118.33     (~P4(a7,a6,a2,a1,a7,a2)),
% 118.23/118.33     inference(scs_inference,[],[197,325,489,693,825,1011,441,96,94,85,92,88,87,86])).
% 118.23/118.33  cnf(2025,plain,
% 118.23/118.33     (P4(a7,a7,a8,a1,a7,a7)),
% 118.23/118.33     inference(scs_inference,[],[197,325,468,489,693,825,1011,58,441,96,94,85,92,88,87,86,97])).
% 118.23/118.33  cnf(2027,plain,
% 118.23/118.33     (P4(a8,a7,a1,a7,a7,a7)),
% 118.23/118.33     inference(scs_inference,[],[197,325,468,489,561,693,825,1011,58,441,96,94,85,92,88,87,86,97,101])).
% 118.23/118.33  cnf(2029,plain,
% 118.23/118.33     (P4(a7,a7,a6,a8,a2,a6)),
% 118.23/118.33     inference(scs_inference,[],[197,325,468,470,489,561,693,825,1011,58,62,441,96,94,85,92,88,87,86,97,101,98])).
% 118.23/118.33  cnf(2031,plain,
% 118.23/118.33     (P4(a8,a8,a6,a1,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[197,325,468,470,489,561,693,825,1011,58,62,22,441,96,94,85,92,88,87,86,97,101,98,99])).
% 118.23/118.33  cnf(2037,plain,
% 118.23/118.33     (P4(a8,a7,a1,a8,a7,a7)),
% 118.23/118.33     inference(scs_inference,[],[197,325,468,470,489,534,561,693,825,1011,919,58,62,22,69,67,441,96,94,85,92,88,87,86,97,101,98,99,105,106,134])).
% 118.23/118.33  cnf(2039,plain,
% 118.23/118.33     (P4(a8,a8,a8,a1,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[197,325,468,470,489,534,561,693,825,1011,919,58,62,22,69,67,441,96,94,85,92,88,87,86,97,101,98,99,105,106,134,157])).
% 118.23/118.33  cnf(2043,plain,
% 118.23/118.33     (P4(a8,a1,a8,a1,a7,a7)),
% 118.23/118.33     inference(scs_inference,[],[197,325,468,470,489,534,561,693,825,1011,919,58,62,22,69,67,441,96,94,85,92,88,87,86,97,101,98,99,105,106,134,157,703,860])).
% 118.23/118.33  cnf(2044,plain,
% 118.23/118.33     (P4(a8,a7,a8,a7,a7,a7)),
% 118.23/118.33     inference(scs_inference,[],[197,325,468,470,489,534,561,693,825,1011,919,58,62,22,69,67,441,96,94,85,92,88,87,86,97,101,98,99,105,106,134,157,703,860,1139])).
% 118.23/118.33  cnf(2045,plain,
% 118.23/118.33     (P4(a7,a7,a8,a7,a7,a7)),
% 118.23/118.33     inference(scs_inference,[],[197,325,468,470,489,534,561,693,825,1011,919,58,62,22,69,67,441,96,94,85,92,88,87,86,97,101,98,99,105,106,134,157,703,860,1139,1215])).
% 118.23/118.33  cnf(2047,plain,
% 118.23/118.33     (P4(a1,a8,a8,a1,a7,a7)),
% 118.23/118.33     inference(scs_inference,[],[197,325,468,470,489,534,561,693,825,1011,919,58,62,22,69,67,441,96,94,85,92,88,87,86,97,101,98,99,105,106,134,157,703,860,1139,1215,1505,1721])).
% 118.23/118.33  cnf(2048,plain,
% 118.23/118.33     (P4(a7,a8,a8,a1,a7,a7)),
% 118.23/118.33     inference(scs_inference,[],[197,325,468,470,489,534,561,693,825,1011,919,58,62,22,69,67,441,96,94,85,92,88,87,86,97,101,98,99,105,106,134,157,703,860,1139,1215,1505,1721,1792])).
% 118.23/118.33  cnf(2049,plain,
% 118.23/118.33     (P4(a7,a8,a7,a1,a7,a7)),
% 118.23/118.33     inference(scs_inference,[],[197,325,468,470,489,534,561,693,825,1011,919,58,62,22,69,67,441,96,94,85,92,88,87,86,97,101,98,99,105,106,134,157,703,860,1139,1215,1505,1721,1792,1859])).
% 118.23/118.33  cnf(2050,plain,
% 118.23/118.33     (P4(a1,a7,a8,a1,a7,a7)),
% 118.23/118.33     inference(scs_inference,[],[197,325,468,470,489,534,561,693,825,1011,919,58,62,22,69,67,441,96,94,85,92,88,87,86,97,101,98,99,105,106,134,157,703,860,1139,1215,1505,1721,1792,1859,95])).
% 118.23/118.33  cnf(2052,plain,
% 118.23/118.33     (P4(a7,a1,a8,a1,a7,a7)),
% 118.23/118.33     inference(scs_inference,[],[197,325,468,470,489,534,561,693,825,1011,919,58,62,22,69,67,441,96,94,85,92,88,87,86,97,101,98,99,105,106,134,157,703,860,1139,1215,1505,1721,1792,1859,95,93])).
% 118.23/118.33  cnf(2056,plain,
% 118.23/118.33     (P4(a8,a7,a8,a1,a7,a7)),
% 118.23/118.33     inference(scs_inference,[],[197,325,468,470,489,534,561,661,693,825,1011,919,58,62,22,69,67,441,96,94,85,92,88,87,86,97,101,98,99,105,106,134,157,703,860,1139,1215,1505,1721,1792,1859,95,93,104,113])).
% 118.23/118.33  cnf(2060,plain,
% 118.23/118.33     (P4(a1,a1,a8,a1,a7,a7)),
% 118.23/118.33     inference(scs_inference,[],[2027,1433])).
% 118.23/118.33  cnf(2062,plain,
% 118.23/118.33     (P4(a7,a7,a7,a1,a7,a7)),
% 118.23/118.33     inference(scs_inference,[],[2027,1924])).
% 118.23/118.33  cnf(2065,plain,
% 118.23/118.33     (P4(a1,a7,a8,a7,a7,a7)),
% 118.23/118.33     inference(scs_inference,[],[2045,95])).
% 118.23/118.33  cnf(2071,plain,
% 118.23/118.33     (P4(a7,a8,a6,a5,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[373,625,2027,2045,95,96,93,94])).
% 118.23/118.33  cnf(2075,plain,
% 118.23/118.33     (~P4(a1,a6,a2,a4,a7,a2)),
% 118.23/118.33     inference(scs_inference,[],[373,1081,1145,625,2027,2045,95,96,93,94,85,92])).
% 118.23/118.33  cnf(2077,plain,
% 118.23/118.33     (~P4(a7,a6,a1,a8,a7,a2)),
% 118.23/118.33     inference(scs_inference,[],[373,1081,1145,625,2015,2027,2045,95,96,93,94,85,92,88])).
% 118.23/118.33  cnf(2083,plain,
% 118.23/118.33     (P4(a7,a7,a8,a3,a2,a6)),
% 118.23/118.33     inference(scs_inference,[],[373,481,1081,1145,625,2015,2021,2027,2045,62,95,96,93,94,85,92,88,87,86,102])).
% 118.23/118.33  cnf(2085,plain,
% 118.23/118.33     (P4(a8,a7,a1,a8,a6,a7)),
% 118.23/118.33     inference(scs_inference,[],[373,481,568,1081,1145,625,2015,2021,2027,2045,57,62,95,96,93,94,85,92,88,87,86,102,101])).
% 118.23/118.33  cnf(2087,plain,
% 118.23/118.33     (P4(a7,a7,a6,a1,a6,a7)),
% 118.23/118.33     inference(scs_inference,[],[373,481,487,568,1081,1145,625,2015,2021,2027,2045,57,62,95,96,93,94,85,92,88,87,86,102,101,97])).
% 118.23/118.33  cnf(2089,plain,
% 118.23/118.33     (P4(a7,a7,a2,a8,a2,a6)),
% 118.23/118.33     inference(scs_inference,[],[373,481,487,568,896,1081,1145,625,2015,2021,2027,2045,57,62,95,96,93,94,85,92,88,87,86,102,101,97,98])).
% 118.23/118.33  cnf(2091,plain,
% 118.23/118.33     (P4(a8,a1,a1,a8,a7,a7)),
% 118.23/118.33     inference(scs_inference,[],[1,373,481,487,568,896,1081,1145,625,2015,2021,2027,2045,57,62,95,96,93,94,85,92,88,87,86,102,101,97,98,100])).
% 118.23/118.33  cnf(2095,plain,
% 118.23/118.33     (~P4(a1,a6,a7,a7,a7,a2)),
% 118.23/118.33     inference(scs_inference,[],[1,373,481,487,568,896,1081,1145,625,2015,2017,2021,2027,2045,57,62,74,67,95,96,93,94,85,92,88,87,86,102,101,97,98,100,105,106])).
% 118.23/118.33  cnf(2097,plain,
% 118.23/118.33     (~P4(a1,a6,a8,a7,a7,a2)),
% 118.23/118.33     inference(scs_inference,[],[1,373,481,487,568,896,1081,1145,625,2015,2017,2021,2027,2045,57,62,74,67,95,96,93,94,85,92,88,87,86,102,101,97,98,100,105,106,117])).
% 118.23/118.33  cnf(2099,plain,
% 118.23/118.33     (~P4(a1,a6,a2,a7,a7,a2)),
% 118.23/118.33     inference(scs_inference,[],[1,373,481,487,568,896,1081,1145,625,2015,2017,2021,2027,2045,57,62,30,74,67,95,96,93,94,85,92,88,87,86,102,101,97,98,100,105,106,117,104])).
% 118.23/118.33  cnf(2102,plain,
% 118.23/118.33     (P4(a1,a8,a7,a1,a7,a7)),
% 118.23/118.33     inference(scs_inference,[],[2049,95])).
% 118.23/118.33  cnf(2104,plain,
% 118.23/118.33     (P4(a8,a7,a4,a5,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[377,2049,95,96])).
% 118.23/118.33  cnf(2108,plain,
% 118.23/118.33     (P4(a8,a8,a4,a1,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[377,808,2065,2049,95,96,93,94])).
% 118.23/118.33  cnf(2110,plain,
% 118.23/118.33     (~P4(a7,a6,a2,a8,a7,a2)),
% 118.23/118.33     inference(scs_inference,[],[377,808,2065,2049,1086,95,96,93,94,85])).
% 118.23/118.33  cnf(2112,plain,
% 118.23/118.33     (~P4(a1,a6,a5,a4,a7,a2)),
% 118.23/118.33     inference(scs_inference,[],[377,1107,808,2065,2049,1086,95,96,93,94,85,92])).
% 118.23/118.33  cnf(2114,plain,
% 118.23/118.33     (~P4(a1,a6,a1,a7,a7,a2)),
% 118.23/118.33     inference(scs_inference,[],[377,1107,808,2065,2049,2095,1086,95,96,93,94,85,92,88])).
% 118.23/118.33  cnf(2118,plain,
% 118.23/118.33     (~P4(a1,a6,a2,a1,a7,a2)),
% 118.23/118.33     inference(scs_inference,[],[377,1107,1100,808,2065,2099,2049,2095,1086,95,96,93,94,85,92,88,87,86])).
% 118.23/118.33  cnf(2120,plain,
% 118.23/118.33     (P4(a8,a8,a8,a7,a2,a2)),
% 118.23/118.33     inference(scs_inference,[],[377,1107,1100,808,788,2065,2099,2049,2095,1086,61,95,96,93,94,85,92,88,87,86,102])).
% 118.23/118.33  cnf(2122,plain,
% 118.23/118.33     (P4(a7,a7,a6,a1,a7,a7)),
% 118.23/118.33     inference(scs_inference,[],[377,1107,1100,808,788,2065,2099,2049,2087,2095,1086,60,61,95,96,93,94,85,92,88,87,86,102,97])).
% 118.23/118.33  cnf(2124,plain,
% 118.23/118.33     (P4(a7,a8,a1,a3,a7,a7)),
% 118.23/118.33     inference(scs_inference,[],[377,956,1107,1100,808,788,2065,2099,2049,2087,2095,1086,60,58,61,95,96,93,94,85,92,88,87,86,102,97,101])).
% 118.23/118.33  cnf(2128,plain,
% 118.23/118.33     (~P4(a7,a6,a1,a2,a7,a2)),
% 118.23/118.33     inference(scs_inference,[],[1,377,531,956,1107,1100,808,788,2065,2099,2049,2077,2087,2095,1086,60,58,61,95,96,93,94,85,92,88,87,86,102,97,101,98,100])).
% 118.23/118.33  cnf(2130,plain,
% 118.23/118.33     (P4(a7,a8,a2,a5,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[1,377,531,956,1107,1100,808,788,881,2065,2099,2049,2077,2087,2095,1086,60,58,61,71,95,96,93,94,85,92,88,87,86,102,97,101,98,100,105])).
% 118.23/118.33  cnf(2132,plain,
% 118.23/118.33     (P4(a8,a8,a8,a4,a2,a7)),
% 118.23/118.33     inference(scs_inference,[],[1,377,531,956,1107,1100,808,788,881,2065,2099,2049,2077,2087,2095,1086,60,58,61,71,67,95,96,93,94,85,92,88,87,86,102,97,101,98,100,105,106])).
% 118.23/118.33  cnf(2137,plain,
% 118.23/118.33     (P4(a1,a7,a6,a1,a7,a7)),
% 118.23/118.33     inference(scs_inference,[],[2122,95])).
% 118.23/118.33  cnf(2141,plain,
% 118.23/118.33     (P4(a7,a1,a6,a1,a7,a7)),
% 118.23/118.33     inference(scs_inference,[],[411,2122,95,96,93])).
% 118.23/118.33  cnf(2147,plain,
% 118.23/118.33     (~P4(a1,a6,a3,a4,a7,a2)),
% 118.23/118.33     inference(scs_inference,[],[411,1114,820,2122,1103,95,96,93,94,85,92])).
% 118.23/118.33  cnf(2149,plain,
% 118.23/118.33     (~P4(a7,a6,a1,a5,a7,a2)),
% 118.23/118.34     inference(scs_inference,[],[411,1114,820,2122,685,1103,95,96,93,94,85,92,88])).
% 118.23/118.34  cnf(2153,plain,
% 118.23/118.34     (~P4(a1,a6,a8,a1,a7,a2)),
% 118.23/118.34     inference(scs_inference,[],[411,1114,820,2097,2075,2122,685,1103,95,96,93,94,85,92,88,87,86])).
% 118.23/118.34  cnf(2155,plain,
% 118.23/118.34     (P4(a7,a7,a8,a1,a7,a6)),
% 118.23/118.34     inference(scs_inference,[],[411,1114,820,2025,2097,2075,2122,685,1103,62,95,96,93,94,85,92,88,87,86,102])).
% 118.23/118.34  cnf(2157,plain,
% 118.23/118.34     (P4(a7,a7,a1,a8,a7,a2)),
% 118.23/118.34     inference(scs_inference,[],[411,1114,1029,820,2025,2097,2075,2122,685,1103,58,62,95,96,93,94,85,92,88,87,86,102,101])).
% 118.23/118.34  cnf(2159,plain,
% 118.23/118.34     (P4(a7,a7,a5,a1,a7,a7)),
% 118.23/118.34     inference(scs_inference,[],[411,493,1114,1029,820,2025,2097,2075,2122,685,1103,58,62,95,96,93,94,85,92,88,87,86,102,101,97])).
% 118.23/118.34  cnf(2163,plain,
% 118.23/118.34     (~P4(a1,a6,a3,a1,a7,a2)),
% 118.23/118.34     inference(scs_inference,[],[411,493,1114,1029,820,2025,2097,2029,2075,2118,2122,685,1103,59,58,62,69,95,96,93,94,85,92,88,87,86,102,101,97,98,105])).
% 118.23/118.34  cnf(2165,plain,
% 118.23/118.34     (~P4(a1,a6,a2,a2,a7,a2)),
% 118.23/118.34     inference(scs_inference,[],[411,493,1114,1029,820,2025,2097,2029,2075,2118,2122,685,1103,59,58,62,69,64,95,96,93,94,85,92,88,87,86,102,101,97,98,105,106])).
% 118.23/118.34  cnf(2172,plain,
% 118.23/118.34     (P4(a1,a8,a1,a3,a7,a7)),
% 118.23/118.34     inference(scs_inference,[],[2124,95])).
% 118.23/118.34  cnf(2176,plain,
% 118.23/118.34     (P4(a1,a1,a6,a1,a7,a7)),
% 118.23/118.34     inference(scs_inference,[],[696,2124,2137,95,96,93])).
% 118.23/118.34  cnf(2178,plain,
% 118.23/118.34     (P4(a8,a8,a3,a1,a2,a7)),
% 118.23/118.34     inference(scs_inference,[],[696,986,2124,2137,95,96,93,94])).
% 118.23/118.34  cnf(2180,plain,
% 118.23/118.34     (~P4(a1,a6,a2,a8,a7,a2)),
% 118.23/118.34     inference(scs_inference,[],[696,986,2124,2137,2165,95,96,93,94,85])).
% 118.23/118.34  cnf(2182,plain,
% 118.23/118.34     (~P4(a1,a6,a3,a3,a7,a2)),
% 118.23/118.34     inference(scs_inference,[],[696,1122,986,2124,2137,2165,95,96,93,94,85,92])).
% 118.23/118.34  cnf(2184,plain,
% 118.23/118.34     (~P4(a7,a6,a1,a6,a7,a2)),
% 118.23/118.34     inference(scs_inference,[],[696,1122,986,2124,2137,2165,687,95,96,93,94,85,92,88])).
% 118.23/118.34  cnf(2188,plain,
% 118.23/118.34     (~P4(a1,a6,a1,a1,a7,a2)),
% 118.23/118.34     inference(scs_inference,[],[696,1122,986,2110,2114,2124,2137,2165,687,95,96,93,94,85,92,88,87,86])).
% 118.23/118.34  cnf(2190,plain,
% 118.23/118.34     (P4(a1,a7,a8,a1,a7,a2)),
% 118.23/118.34     inference(scs_inference,[],[696,1122,2050,986,2110,2114,2124,2137,2165,687,61,95,96,93,94,85,92,88,87,86,102])).
% 118.23/118.34  cnf(2192,plain,
% 118.23/118.34     (P4(a7,a8,a5,a1,a6,a7)),
% 118.23/118.34     inference(scs_inference,[],[696,1122,2050,986,2110,2114,2124,2137,2165,687,57,61,95,96,93,94,85,92,88,87,86,102,97])).
% 118.23/118.34  cnf(2194,plain,
% 118.23/118.34     (P4(a8,a7,a1,a2,a6,a7)),
% 118.23/118.34     inference(scs_inference,[],[696,1122,2050,986,816,2110,2114,2124,2137,2165,687,57,61,95,96,93,94,85,92,88,87,86,102,97,101])).
% 118.23/118.34  cnf(2198,plain,
% 118.23/118.34     (P4(a8,a7,a2,a4,a2,a7)),
% 118.23/118.34     inference(scs_inference,[],[556,696,1122,2050,986,816,845,2110,2114,2124,2137,2165,687,57,61,71,95,96,93,94,85,92,88,87,86,102,97,101,98,105])).
% 118.23/118.34  cnf(2207,plain,
% 118.23/118.34     (P4(a8,a8,a1,a2,a2,a7)),
% 118.23/118.34     inference(scs_inference,[],[723,96])).
% 118.23/118.34  cnf(2209,plain,
% 118.23/118.34     (P4(a1,a7,a8,a1,a7,a6)),
% 118.23/118.34     inference(scs_inference,[],[723,2155,96,95])).
% 118.23/118.34  cnf(2211,plain,
% 118.23/118.34     (P4(a7,a1,a8,a1,a7,a6)),
% 118.23/118.34     inference(scs_inference,[],[723,2155,96,95,93])).
% 118.23/118.34  cnf(2213,plain,
% 118.23/118.34     (P4(a8,a8,a8,a1,a7,a7)),
% 118.23/118.34     inference(scs_inference,[],[2056,723,2155,96,95,93,94])).
% 118.23/118.34  cnf(2215,plain,
% 118.23/118.34     (~P4(a7,a6,a4,a8,a7,a2)),
% 118.23/118.34     inference(scs_inference,[],[2056,723,2155,1075,96,95,93,94,85])).
% 118.23/118.34  cnf(2217,plain,
% 118.23/118.34     (~P4(a1,a6,a5,a2,a7,a2)),
% 118.23/118.34     inference(scs_inference,[],[1112,2056,723,2155,1075,96,95,93,94,85,92])).
% 118.23/118.34  cnf(2219,plain,
% 118.23/118.34     (~P4(a7,a6,a1,a3,a7,a2)),
% 118.23/118.34     inference(scs_inference,[],[1112,2056,723,2155,690,1075,96,95,93,94,85,92,88])).
% 118.23/118.34  cnf(2225,plain,
% 118.23/118.34     (P4(a1,a1,a8,a1,a7,a6)),
% 118.23/118.34     inference(scs_inference,[],[1112,2060,2056,723,2155,2180,225,690,1075,62,96,95,93,94,85,92,88,87,86,102])).
% 118.23/118.34  cnf(2227,plain,
% 118.23/118.34     (P4(a7,a7,a1,a3,a7,a2)),
% 118.23/118.34     inference(scs_inference,[],[1112,2060,2056,862,723,2155,2180,225,690,1075,62,58,96,95,93,94,85,92,88,87,86,102,101])).
% 118.23/118.34  cnf(2229,plain,
% 118.23/118.34     (P4(a7,a8,a4,a1,a7,a7)),
% 118.23/118.34     inference(scs_inference,[],[715,1112,2060,2056,862,723,2155,2180,225,690,1075,62,58,96,95,93,94,85,92,88,87,86,102,101,97])).
% 118.23/118.34  cnf(2235,plain,
% 118.23/118.34     (~P4(a1,a6,a3,a2,a7,a2)),
% 118.23/118.34     inference(scs_inference,[],[483,715,1112,2060,2056,862,723,2147,2155,2180,225,690,1075,62,58,65,64,96,95,93,94,85,92,88,87,86,102,101,97,98,105,106])).
% 118.23/118.34  cnf(2242,plain,
% 118.23/118.34     (P4(a1,a7,a1,a8,a7,a2)),
% 118.23/118.34     inference(scs_inference,[],[2157,95])).
% 118.23/118.34  cnf(2246,plain,
% 118.23/118.34     (P4(a7,a1,a1,a8,a7,a2)),
% 118.23/118.34     inference(scs_inference,[],[742,2157,95,96,93])).
% 118.23/118.34  cnf(2248,plain,
% 118.23/118.34     (P4(a8,a8,a1,a8,a7,a7)),
% 118.23/118.34     inference(scs_inference,[],[2037,742,2157,95,96,93,94])).
% 118.23/118.34  cnf(2250,plain,
% 118.23/118.34     (~P4(a1,a6,a5,a8,a7,a2)),
% 118.23/118.34     inference(scs_inference,[],[2037,742,2157,2217,95,96,93,94,85])).
% 118.23/118.34  cnf(2254,plain,
% 118.23/118.34     (~P4(a1,a6,a1,a4,a7,a2)),
% 118.23/118.34     inference(scs_inference,[],[1128,2037,742,2157,2217,2017,95,96,93,94,85,92,88])).
% 118.23/118.34  cnf(2256,plain,
% 118.23/118.34     (~P4(a7,a6,a8,a6,a7,a2)),
% 118.23/118.34     inference(scs_inference,[],[1128,2037,742,2157,2217,1097,2017,95,96,93,94,85,92,88,87])).
% 118.23/118.34  cnf(2262,plain,
% 118.23/118.34     (P4(a7,a8,a5,a1,a7,a7)),
% 118.23/118.34     inference(scs_inference,[],[1128,2052,2037,742,2157,2192,2217,1097,2095,2017,60,61,95,96,93,94,85,92,88,87,86,102,97])).
% 118.23/118.34  cnf(2264,plain,
% 118.23/118.34     (P4(a7,a8,a1,a4,a6,a7)),
% 118.23/118.34     inference(scs_inference,[],[1128,2052,2037,742,964,2157,2192,2217,1097,2095,2017,60,57,61,95,96,93,94,85,92,88,87,86,102,97,101])).
% 118.23/118.34  cnf(2266,plain,
% 118.23/118.34     (P4(a7,a8,a6,a8,a2,a2)),
% 118.23/118.34     inference(scs_inference,[],[683,1128,2052,2037,742,964,2157,2192,2217,1097,2095,2017,60,57,61,95,96,93,94,85,92,88,87,86,102,97,101,98])).
% 118.23/118.34  cnf(2268,plain,
% 118.23/118.34     (P4(a7,a7,a1,a8,a2,a6)),
% 118.23/118.34     inference(scs_inference,[],[683,1128,2052,2037,742,964,2089,2157,2192,2217,1097,2095,2017,60,57,61,8,95,96,93,94,85,92,88,87,86,102,97,101,98,103])).
% 118.23/118.34  cnf(2270,plain,
% 118.23/118.34     (P4(a8,a7,a6,a3,a2,a7)),
% 118.23/118.34     inference(scs_inference,[],[683,1128,2052,2037,742,964,838,2089,2157,2192,2217,1097,2095,2017,60,57,61,8,73,95,96,93,94,85,92,88,87,86,102,97,101,98,103,105])).
% 118.23/118.34  cnf(2272,plain,
% 118.23/118.34     (P4(a7,a8,a6,a6,a2,a7)),
% 118.23/118.34     inference(scs_inference,[],[683,1128,2052,2037,742,964,838,2071,2089,2157,2192,2217,1097,2095,2017,60,57,61,8,73,95,96,93,94,85,92,88,87,86,102,97,101,98,103,105,106])).
% 118.23/118.34  cnf(2279,plain,
% 118.23/118.34     (P4(a8,a8,a5,a4,a2,a7)),
% 118.23/118.34     inference(scs_inference,[],[750,96])).
% 118.23/118.34  cnf(2281,plain,
% 118.23/118.34     (P4(a1,a7,a5,a1,a7,a7)),
% 118.23/118.34     inference(scs_inference,[],[750,2159,96,95])).
% 118.23/118.34  cnf(2283,plain,
% 118.23/118.34     (P4(a7,a1,a5,a1,a7,a7)),
% 118.23/118.34     inference(scs_inference,[],[750,2159,96,95,93])).
% 118.23/118.34  cnf(2285,plain,
% 118.23/118.34     (P4(a8,a8,a1,a3,a2,a7)),
% 118.23/118.34     inference(scs_inference,[],[750,1001,2159,96,95,93,94])).
% 118.23/118.34  cnf(2287,plain,
% 118.23/118.34     (~P4(a1,a6,a3,a8,a7,a2)),
% 118.23/118.34     inference(scs_inference,[],[750,1001,2159,2235,96,95,93,94,85])).
% 118.23/118.34  cnf(2289,plain,
% 118.23/118.34     (~P4(a1,a6,a1,a2,a7,a2)),
% 118.23/118.34     inference(scs_inference,[],[750,1001,2128,2159,2235,96,95,93,94,85,92])).
% 118.23/118.34  cnf(2291,plain,
% 118.23/118.34     (~P4(a7,a6,a1,a7,a7,a2)),
% 118.23/118.34     inference(scs_inference,[],[750,1001,2128,2159,2235,84,96,95,93,94,85,92,88])).
% 118.23/118.34  cnf(2293,plain,
% 118.23/118.34     (~P4(a7,a6,a8,a5,a7,a2)),
% 118.23/118.34     inference(scs_inference,[],[750,1001,2128,2159,2235,1091,84,96,95,93,94,85,92,88,87])).
% 118.23/118.34  cnf(2297,plain,
% 118.23/118.34     (P4(a8,a1,a8,a1,a7,a6)),
% 118.23/118.34     inference(scs_inference,[],[2043,750,1001,2128,2159,2235,1091,1009,84,62,96,95,93,94,85,92,88,87,86,102])).
% 118.23/118.34  cnf(2299,plain,
% 118.23/118.34     (P4(a8,a1,a1,a8,a6,a7)),
% 118.23/118.34     inference(scs_inference,[],[2043,2091,750,1001,2128,2159,2235,1091,1009,84,62,96,95,93,94,85,92,88,87,86,102,101])).
% 118.23/118.34  cnf(2301,plain,
% 118.23/118.34     (P4(a7,a7,a8,a1,a6,a2)),
% 118.23/118.34     inference(scs_inference,[],[888,2043,2091,750,1001,2128,2159,2235,1091,1009,84,62,57,96,95,93,94,85,92,88,87,86,102,101,97])).
% 118.23/118.34  cnf(2303,plain,
% 118.23/118.34     (P4(a7,a8,a5,a8,a2,a6)),
% 118.23/118.34     inference(scs_inference,[],[760,888,2043,2091,750,1001,2128,2159,2235,1091,1009,84,62,57,96,95,93,94,85,92,88,87,86,102,101,97,98])).
% 118.23/118.34  cnf(2305,plain,
% 118.23/118.34     (~P4(a1,a6,a7,a2,a7,a2)),
% 118.23/118.34     inference(scs_inference,[],[760,888,2043,2091,750,1001,2128,2159,2235,1091,1009,84,62,57,15,96,95,93,94,85,92,88,87,86,102,101,97,98,103])).
% 118.23/118.34  cnf(2309,plain,
% 118.23/118.34     (~P4(a1,a6,a5,a7,a7,a2)),
% 118.23/118.34     inference(scs_inference,[],[760,888,2043,2091,750,1001,2128,2163,2112,2159,2235,1091,1009,84,62,57,15,65,67,96,95,93,94,85,92,88,87,86,102,101,97,98,103,105,106])).
% 118.23/118.34  cnf(2316,plain,
% 118.23/118.34     (P4(a1,a7,a1,a3,a7,a2)),
% 118.23/118.34     inference(scs_inference,[],[2227,95])).
% 118.23/118.34  cnf(2318,plain,
% 118.23/118.34     (P4(a8,a8,a3,a3,a2,a7)),
% 118.23/118.34     inference(scs_inference,[],[929,2227,95,96])).
% 118.23/118.34  cnf(2320,plain,
% 118.23/118.34     (P4(a1,a1,a8,a1,a7,a2)),
% 118.23/118.34     inference(scs_inference,[],[929,2190,2227,95,96,93])).
% 118.23/118.34  cnf(2326,plain,
% 118.23/118.34     (~P4(a1,a6,a1,a3,a7,a2)),
% 118.23/118.34     inference(scs_inference,[],[929,2219,2085,2190,2227,2289,95,96,93,94,85,92])).
% 118.23/118.34  cnf(2328,plain,
% 118.23/118.34     (~P4(a1,a6,a8,a2,a7,a2)),
% 118.23/118.34     inference(scs_inference,[],[929,2219,2085,2190,2227,2289,2165,95,96,93,94,85,92,87])).
% 118.23/118.34  cnf(2336,plain,
% 118.23/118.34     (P4(a8,a8,a1,a2,a7,a7)),
% 118.23/118.34     inference(scs_inference,[],[2047,929,2219,2085,2190,2207,2227,2289,2291,2301,2165,60,58,61,95,96,93,94,85,92,87,86,102,97,101])).
% 118.23/118.34  cnf(2340,plain,
% 118.23/118.34     (P4(a7,a8,a1,a5,a2,a7)),
% 118.23/118.34     inference(scs_inference,[],[799,2047,929,2219,2085,2130,2190,2207,2227,2289,2291,2301,2165,60,50,58,61,95,96,93,94,85,92,87,86,102,97,101,98,103])).
% 118.23/118.34  cnf(2342,plain,
% 118.23/118.34     (P4(a7,a7,a7,a1,a2,a6)),
% 118.23/118.34     inference(scs_inference,[],[799,1048,2047,929,2219,2085,2130,2190,2207,2227,2289,2291,2301,2165,60,50,58,61,74,95,96,93,94,85,92,87,86,102,97,101,98,103,105])).
% 118.23/118.34  cnf(2344,plain,
% 118.23/118.34     (P4(a8,a8,a8,a5,a2,a2)),
% 118.23/118.34     inference(scs_inference,[],[799,1048,2047,929,2219,2085,2120,2130,2190,2207,2227,2289,2291,2301,2165,60,50,58,61,74,68,95,96,93,94,85,92,87,86,102,97,101,98,103,105,106])).
% 118.23/118.34  cnf(2351,plain,
% 118.23/118.34     (P4(a1,a8,a4,a1,a7,a7)),
% 118.23/118.34     inference(scs_inference,[],[2229,95])).
% 118.23/118.34  cnf(2355,plain,
% 118.23/118.34     (P4(a1,a1,a1,a8,a7,a2)),
% 118.23/118.34     inference(scs_inference,[],[884,2229,2242,95,96,93])).
% 118.23/118.34  cnf(2365,plain,
% 118.23/118.34     (~P4(a1,a6,a5,a1,a7,a2)),
% 118.23/118.34     inference(scs_inference,[],[884,2184,2011,2229,2242,2309,2305,1086,95,96,93,94,85,92,87,86])).
% 118.23/118.34  cnf(2367,plain,
% 118.23/118.34     (P4(a7,a8,a8,a1,a7,a6)),
% 118.23/118.34     inference(scs_inference,[],[2048,884,2184,2011,2229,2242,2309,2305,1086,62,95,96,93,94,85,92,87,86,102])).
% 118.23/118.34  cnf(2369,plain,
% 118.23/118.34     (P4(a7,a7,a8,a1,a6,a6)),
% 118.23/118.34     inference(scs_inference,[],[910,2048,884,2184,2011,2229,2242,2309,2305,1086,57,62,95,96,93,94,85,92,87,86,102,97])).
% 118.23/118.34  cnf(2371,plain,
% 118.23/118.34     (P4(a1,a8,a1,a3,a6,a7)),
% 118.23/118.34     inference(scs_inference,[],[910,2048,884,2184,2011,2172,2229,2242,2309,2305,1086,57,62,95,96,93,94,85,92,87,86,102,97,101])).
% 118.23/118.34  cnf(2373,plain,
% 118.23/118.34     (P4(a8,a8,a6,a8,a2,a6)),
% 118.23/118.34     inference(scs_inference,[],[775,910,2048,884,2184,2011,2172,2229,2242,2309,2305,1086,57,62,95,96,93,94,85,92,87,86,102,97,101,98])).
% 118.23/118.34  cnf(2379,plain,
% 118.23/118.34     (~P4(a1,a6,a8,a3,a7,a2)),
% 118.23/118.34     inference(scs_inference,[],[775,910,2048,884,2184,2328,2011,2172,2182,2229,2242,2309,2326,2305,1086,69,57,62,36,65,95,96,93,94,85,92,87,86,102,97,101,98,103,105,106])).
% 118.23/118.34  cnf(2386,plain,
% 118.23/118.34     (~P4(a1,a6,a1,a5,a7,a2)),
% 118.23/118.34     inference(scs_inference,[],[2149,92])).
% 118.23/118.34  cnf(2390,plain,
% 118.23/118.34     (P4(a1,a8,a5,a1,a7,a7)),
% 118.23/118.34     inference(scs_inference,[],[2149,854,2262,92,96,95])).
% 118.23/118.34  cnf(2392,plain,
% 118.23/118.34     (P4(a1,a1,a5,a1,a7,a7)),
% 118.23/118.34     inference(scs_inference,[],[2149,854,2262,2281,92,96,95,93])).
% 118.23/118.34  cnf(2396,plain,
% 118.23/118.34     (~P4(a7,a6,a4,a1,a7,a2)),
% 118.23/118.34     inference(scs_inference,[],[2149,854,2104,2262,2281,1003,92,96,95,93,94,86])).
% 118.23/118.34  cnf(2398,plain,
% 118.23/118.34     (P4(a8,a8,a8,a1,a2,a2)),
% 118.23/118.34     inference(scs_inference,[],[2039,2149,854,2104,2262,2281,1003,61,92,96,95,93,94,86,102])).
% 118.23/118.34  cnf(2400,plain,
% 118.23/118.34     (P4(a8,a7,a1,a2,a7,a7)),
% 118.23/118.34     inference(scs_inference,[],[2039,2149,854,2104,2194,2262,2281,1003,60,61,92,96,95,93,94,86,102,101])).
% 118.23/118.34  cnf(2402,plain,
% 118.23/118.34     (P4(a8,a7,a6,a1,a7,a7)),
% 118.23/118.34     inference(scs_inference,[],[991,2039,2149,854,2104,2194,2262,2281,1003,60,58,61,92,96,95,93,94,86,102,101,97])).
% 118.23/118.34  cnf(2404,plain,
% 118.23/118.34     (P4(a8,a8,a5,a8,a2,a2)),
% 118.23/118.34     inference(scs_inference,[],[991,797,2039,2149,854,2104,2194,2262,2281,1003,60,58,61,92,96,95,93,94,86,102,101,97,98])).
% 118.23/118.34  cnf(2406,plain,
% 118.23/118.34     (P4(a8,a7,a6,a4,a2,a7)),
% 118.23/118.34     inference(scs_inference,[],[991,797,2039,848,2149,854,2104,2194,2262,2281,1003,60,58,61,73,92,96,95,93,94,86,102,101,97,98,105])).
% 118.23/118.34  cnf(2410,plain,
% 118.23/118.34     (P4(a8,a7,a1,a4,a2,a7)),
% 118.23/118.34     inference(scs_inference,[],[991,797,2039,848,2149,854,2279,2104,2194,2198,2262,2281,1003,60,43,58,71,61,73,92,96,95,93,94,86,102,101,97,98,105,106,103])).
% 118.23/118.34  cnf(2419,plain,
% 118.23/118.34     (P4(a8,a1,a6,a1,a7,a7)),
% 118.23/118.34     inference(scs_inference,[],[2141,2396,92,96])).
% 118.23/118.34  cnf(2421,plain,
% 118.23/118.34     (P4(a1,a8,a8,a1,a7,a6)),
% 118.23/118.34     inference(scs_inference,[],[2141,2367,2396,92,96,95])).
% 118.23/118.34  cnf(2423,plain,
% 118.23/118.34     (P4(a1,a1,a1,a3,a7,a2)),
% 118.23/118.34     inference(scs_inference,[],[2141,2316,2367,2396,92,96,95,93])).
% 118.23/118.34  cnf(2429,plain,
% 118.23/118.34     (P4(a8,a8,a8,a1,a7,a2)),
% 118.23/118.34     inference(scs_inference,[],[2213,2141,2270,2316,2367,2396,1006,61,92,96,95,93,94,86,102])).
% 118.23/118.34  cnf(2431,plain,
% 118.23/118.34     (P4(a1,a1,a1,a8,a2,a2)),
% 118.23/118.34     inference(scs_inference,[],[2213,2355,2141,2270,2316,2367,2396,1006,61,92,96,95,93,94,86,102,101])).
% 118.23/118.34  cnf(2435,plain,
% 118.23/118.34     (P4(a8,a8,a1,a8,a7,a2)),
% 118.23/118.34     inference(scs_inference,[],[2031,2213,2355,2141,2248,2270,2316,2367,2396,1006,57,61,92,96,95,93,94,86,102,101,97,98])).
% 118.23/118.34  cnf(2437,plain,
% 118.23/118.34     (~P4(a1,a6,a6,a8,a7,a2)),
% 118.23/118.34     inference(scs_inference,[],[2031,2213,2355,2141,2248,2270,2316,2367,2396,2250,1006,57,61,66,92,96,95,93,94,86,102,101,97,98,105])).
% 118.23/118.34  cnf(2448,plain,
% 118.23/118.34     (P4(a8,a8,a1,a4,a6,a7)),
% 118.23/118.34     inference(scs_inference,[],[2264,2215,92,96])).
% 118.23/118.34  cnf(2450,plain,
% 118.23/118.34     (P4(a8,a1,a1,a2,a7,a7)),
% 118.23/118.34     inference(scs_inference,[],[2264,2400,2215,92,96,93])).
% 118.23/118.34  cnf(2456,plain,
% 118.23/118.34     (P4(a8,a8,a8,a4,a2,a6)),
% 118.23/118.34     inference(scs_inference,[],[2132,2264,2400,2402,2215,84,62,92,96,93,94,86,102])).
% 118.23/118.34  cnf(2458,plain,
% 118.23/118.34     (P4(a7,a8,a1,a4,a7,a7)),
% 118.23/118.34     inference(scs_inference,[],[2132,2264,2400,2402,2215,60,84,62,92,96,93,94,86,102,101])).
% 118.23/118.34  cnf(2460,plain,
% 118.23/118.34     (P4(a7,a8,a3,a1,a7,a7)),
% 118.23/118.34     inference(scs_inference,[],[675,2132,2264,2400,2402,2215,60,84,58,62,92,96,93,94,86,102,101,97])).
% 118.23/118.34  cnf(2464,plain,
% 118.23/118.34     (P4(a7,a1,a1,a8,a7,a7)),
% 118.23/118.34     inference(scs_inference,[],[675,2132,2246,2264,2400,2402,2215,60,84,44,58,62,92,96,93,94,86,102,101,97,100,98])).
% 118.23/118.34  cnf(2466,plain,
% 118.23/118.34     (P4(a7,a7,a7,a1,a2,a2)),
% 118.23/118.34     inference(scs_inference,[],[675,1034,2132,2246,2264,2400,2402,2215,60,84,44,58,72,62,92,96,93,94,86,102,101,97,100,98,105])).
% 118.23/118.34  cnf(2470,plain,
% 118.23/118.34     (P4(a1,a8,a1,a4,a7,a7)),
% 118.23/118.34     inference(scs_inference,[],[675,1034,872,2132,2246,2264,2400,2402,2215,60,84,44,58,72,62,92,96,93,94,86,102,101,97,100,98,105,106,95])).
% 118.23/118.34  cnf(2477,plain,
% 118.23/118.34     (~P4(a1,a6,a8,a5,a7,a2)),
% 118.23/118.34     inference(scs_inference,[],[2293,92])).
% 118.23/118.34  cnf(2479,plain,
% 118.23/118.34     (P4(a8,a8,a1,a5,a2,a7)),
% 118.23/118.34     inference(scs_inference,[],[2340,2293,92,96])).
% 118.23/118.34  cnf(2481,plain,
% 118.23/118.34     (P4(a1,a8,a3,a1,a7,a7)),
% 118.23/118.34     inference(scs_inference,[],[2340,2460,2293,92,96,95])).
% 118.23/118.34  cnf(2483,plain,
% 118.23/118.34     (P4(a7,a1,a1,a3,a7,a2)),
% 118.23/118.34     inference(scs_inference,[],[2340,2460,2293,2227,92,96,95,93])).
% 118.23/118.34  cnf(2489,plain,
% 118.23/118.34     (P4(a7,a7,a1,a8,a6,a6)),
% 118.23/118.34     inference(scs_inference,[],[2268,2340,2410,2460,437,2293,2227,57,61,92,96,95,93,94,102,101])).
% 118.23/118.34  cnf(2491,plain,
% 118.23/118.34     (P4(a7,a7,a3,a1,a6,a2)),
% 118.23/118.34     inference(scs_inference,[],[906,2268,2340,2410,2460,437,2293,2227,57,61,92,96,95,93,94,102,101,97])).
% 118.23/118.34  cnf(2493,plain,
% 118.23/118.34     (P4(a8,a1,a1,a8,a6,a6)),
% 118.23/118.34     inference(scs_inference,[],[906,2268,2340,2410,2299,2460,437,2293,2227,57,62,61,92,96,95,93,94,102,101,97,98])).
% 118.23/118.34  cnf(2508,plain,
% 118.23/118.34     (P4(a8,a8,a6,a6,a2,a7)),
% 118.23/118.34     inference(scs_inference,[],[2272,2256,92,96])).
% 118.23/118.34  cnf(2510,plain,
% 118.23/118.34     (P4(a1,a1,a1,a8,a7,a7)),
% 118.23/118.34     inference(scs_inference,[],[2272,2464,2256,92,96,95])).
% 118.23/118.34  cnf(2512,plain,
% 118.23/118.34     (P4(a8,a1,a8,a7,a7,a7)),
% 118.23/118.34     inference(scs_inference,[],[2272,2464,2256,2044,92,96,95,93])).
% 118.23/118.34  cnf(2516,plain,
% 118.23/118.34     (P4(a8,a1,a8,a1,a7,a2)),
% 118.23/118.34     inference(scs_inference,[],[2272,2297,2406,2464,2256,2044,59,92,96,95,93,94,102])).
% 118.23/118.34  cnf(2518,plain,
% 118.23/118.34     (P4(a8,a8,a1,a3,a7,a7)),
% 118.23/118.34     inference(scs_inference,[],[2272,2285,2297,2406,2464,2256,2044,59,58,92,96,95,93,94,102,101])).
% 118.23/118.34  cnf(2522,plain,
% 118.23/118.34     (P4(a1,a1,a3,a1,a7,a7)),
% 118.23/118.34     inference(scs_inference,[],[2178,2176,2272,2285,2297,2406,2464,2256,2044,59,58,65,92,96,95,93,94,102,101,97,105])).
% 118.23/118.34  cnf(2526,plain,
% 118.23/118.34     (P4(a1,a1,a1,a2,a7,a2)),
% 118.23/118.34     inference(scs_inference,[],[2178,2176,2423,2272,2285,2297,2303,2406,2464,2256,2044,59,69,58,65,92,96,95,93,94,102,101,97,105,98,106])).
% 118.23/118.34  cnf(2535,plain,
% 118.23/118.34     (P4(a8,a1,a5,a1,a7,a7)),
% 118.23/118.34     inference(scs_inference,[],[2283,1119,92,96])).
% 118.23/118.34  cnf(2537,plain,
% 118.23/118.34     (P4(a7,a1,a8,a7,a7,a7)),
% 118.23/118.34     inference(scs_inference,[],[2283,1119,2045,92,96,93])).
% 118.23/118.34  cnf(2539,plain,
% 118.23/118.34     (P4(a7,a8,a1,a6,a2,a7)),
% 118.23/118.34     inference(scs_inference,[],[2283,111,1119,2045,92,96,93,94])).
% 118.23/118.34  cnf(2541,plain,
% 118.23/118.34     (P4(a8,a1,a8,a7,a7,a6)),
% 118.23/118.34     inference(scs_inference,[],[2512,2283,111,1119,2045,62,92,96,93,94,102])).
% 118.23/118.34  cnf(2562,plain,
% 118.23/118.34     (P4(a8,a8,a8,a3,a2,a7)),
% 118.23/118.34     inference(scs_inference,[],[2458,563,1069,92,96,94])).
% 118.23/118.34  cnf(2566,plain,
% 118.23/118.34     (P4(a1,a8,a1,a3,a2,a7)),
% 118.23/118.34     inference(scs_inference,[],[2537,2371,2458,563,1069,59,61,92,96,94,102,101])).
% 118.23/118.34  cnf(2568,plain,
% 118.23/118.34     (P4(a8,a8,a4,a1,a6,a7)),
% 118.23/118.34     inference(scs_inference,[],[2108,2537,2371,2458,563,1069,59,57,61,92,96,94,102,101,97])).
% 118.23/118.34  cnf(2570,plain,
% 118.23/118.34     (P4(a8,a8,a2,a3,a2,a7)),
% 118.23/118.34     inference(scs_inference,[],[2318,2108,2537,2371,2458,563,1069,59,69,57,61,92,96,94,102,101,97,105])).
% 118.23/118.34  cnf(2574,plain,
% 118.23/118.34     (P4(a8,a1,a1,a3,a7,a7)),
% 118.23/118.34     inference(scs_inference,[],[901,2318,2450,2108,2537,2371,2458,563,1069,59,69,63,57,61,92,96,94,102,101,97,105,98,106])).
% 118.23/118.34  cnf(2585,plain,
% 118.23/118.34     (P4(a8,a8,a1,a6,a2,a7)),
% 118.23/118.34     inference(scs_inference,[],[2539,1072,92,96])).
% 118.23/118.34  cnf(2589,plain,
% 118.23/118.34     (P4(a8,a8,a8,a3,a2,a2)),
% 118.23/118.34     inference(scs_inference,[],[2539,2562,1072,845,61,92,96,94,102])).
% 118.23/118.34  cnf(2593,plain,
% 118.23/118.34     (P4(a1,a1,a8,a1,a2,a6)),
% 118.23/118.34     inference(scs_inference,[],[2225,2510,2539,2562,1072,845,61,92,96,94,102,101,97])).
% 118.23/118.34  cnf(2604,plain,
% 118.23/118.34     (P4(a8,a7,a8,a5,a2,a7)),
% 118.23/118.34     inference(scs_inference,[],[396,1089,92,96])).
% 118.23/118.34  cnf(2608,plain,
% 118.23/118.34     (P4(a8,a8,a8,a5,a2,a7)),
% 118.23/118.34     inference(scs_inference,[],[2344,396,1089,835,58,92,96,94,102])).
% 118.23/118.34  cnf(2610,plain,
% 118.23/118.34     (P4(a1,a1,a1,a8,a6,a2)),
% 118.23/118.34     inference(scs_inference,[],[2344,2431,396,1089,835,58,57,92,96,94,102,101])).
% 118.23/118.34  cnf(2616,plain,
% 118.23/118.34     (P4(a7,a7,a1,a8,a6,a2)),
% 118.23/118.34     inference(scs_inference,[],[2351,2342,2344,2431,2489,396,1089,835,59,71,58,57,92,96,94,102,101,97,105,98])).
% 118.23/118.34  cnf(2622,plain,
% 118.23/118.34     (P4(a7,a1,a7,a1,a7,a6)),
% 118.23/118.34     inference(scs_inference,[],[2351,2483,2342,2344,2431,2489,396,1089,835,59,69,71,58,57,92,96,94,102,101,97,105,98,106,95,93])).
% 118.23/118.34  cnf(2627,plain,
% 118.23/118.34     (P4(a8,a7,a8,a6,a2,a7)),
% 118.23/118.34     inference(scs_inference,[],[358,96])).
% 118.23/118.34  cnf(2629,plain,
% 118.23/118.34     (P4(a1,a1,a7,a1,a7,a6)),
% 118.23/118.34     inference(scs_inference,[],[2622,358,96,95])).
% 118.23/118.34  cnf(2633,plain,
% 118.23/118.34     (P4(a8,a7,a8,a5,a2,a6)),
% 118.23/118.34     inference(scs_inference,[],[2604,2622,358,2087,62,96,95,94,102])).
% 118.23/118.34  cnf(2637,plain,
% 118.23/118.34     (P4(a1,a1,a8,a1,a6,a2)),
% 118.23/118.34     inference(scs_inference,[],[2320,2336,2604,2622,358,2087,62,96,95,94,102,101,97])).
% 118.23/118.34  cnf(2646,plain,
% 118.23/118.34     (P4(a8,a7,a1,a5,a2,a7)),
% 118.23/118.34     inference(scs_inference,[],[153,96])).
% 118.23/118.34  cnf(2648,plain,
% 118.23/118.34     (P4(a8,a8,a8,a6,a2,a7)),
% 118.23/118.34     inference(scs_inference,[],[2627,153,96,94])).
% 118.23/118.34  cnf(2650,plain,
% 118.23/118.34     (P4(a7,a7,a8,a1,a6,a7)),
% 118.23/118.34     inference(scs_inference,[],[2369,2627,153,60,96,94,102])).
% 118.23/118.34  cnf(2656,plain,
% 118.23/118.34     (P4(a8,a1,a3,a1,a7,a7)),
% 118.23/118.34     inference(scs_inference,[],[2419,2518,2369,2398,2627,153,60,65,57,62,96,94,102,101,97,105])).
% 118.23/118.34  cnf(2658,plain,
% 118.23/118.34     (P4(a1,a1,a1,a8,a6,a7)),
% 118.23/118.34     inference(scs_inference,[],[2419,2518,2369,2398,2610,2627,153,60,65,58,57,62,96,94,102,101,97,105,98])).
% 118.23/118.34  cnf(2665,plain,
% 118.23/118.34     (P4(a8,a7,a8,a1,a6,a7)),
% 118.23/118.34     inference(scs_inference,[],[2650,96])).
% 118.23/118.34  cnf(2667,plain,
% 118.23/118.34     (P4(a7,a8,a8,a1,a6,a7)),
% 118.23/118.34     inference(scs_inference,[],[2650,96,94])).
% 118.23/118.34  cnf(2669,plain,
% 118.23/118.34     (P4(a8,a8,a8,a5,a2,a6)),
% 118.23/118.34     inference(scs_inference,[],[2608,2650,62,96,94,102])).
% 118.23/118.34  cnf(2671,plain,
% 118.23/118.34     (P4(a8,a8,a1,a8,a2,a2)),
% 118.23/118.34     inference(scs_inference,[],[2608,2435,2650,61,62,96,94,102,101])).
% 118.23/118.34  cnf(2673,plain,
% 118.23/118.34     (P4(a1,a1,a5,a1,a2,a7)),
% 118.23/118.34     inference(scs_inference,[],[2392,2608,2435,2650,61,62,96,94,102,101,97])).
% 118.23/118.34  cnf(2677,plain,
% 118.23/118.34     (P4(a7,a7,a4,a6,a2,a2)),
% 118.23/118.34     inference(scs_inference,[],[2392,864,2608,2435,2650,2658,70,61,62,96,94,102,101,97,98,106])).
% 118.23/118.34  cnf(2684,plain,
% 118.23/118.34     (P4(a8,a8,a8,a1,a6,a7)),
% 118.23/118.34     inference(scs_inference,[],[2667,96])).
% 118.23/118.34  cnf(2692,plain,
% 118.23/118.34     (P4(a1,a8,a6,a1,a7,a7)),
% 118.23/118.34     inference(scs_inference,[],[2390,2456,2491,2667,2198,59,60,73,96,94,102,97,105])).
% 118.23/118.34  cnf(2694,plain,
% 118.23/118.34     (P4(a8,a1,a1,a8,a6,a2)),
% 118.23/118.34     inference(scs_inference,[],[2390,2456,2491,2493,2667,2198,59,60,73,96,94,102,97,105,98])).
% 118.23/118.34  cnf(2696,plain,
% 118.23/118.34     (P4(a1,a7,a3,a1,a7,a2)),
% 118.23/118.34     inference(scs_inference,[],[2390,2456,2491,2493,2667,2198,59,60,73,96,94,102,97,105,98,95])).
% 118.23/118.34  cnf(2698,plain,
% 118.23/118.34     (P4(a7,a1,a3,a1,a7,a2)),
% 118.23/118.34     inference(scs_inference,[],[2390,2456,2491,2493,2667,2198,59,60,73,96,94,102,97,105,98,95,93])).
% 118.23/118.34  cnf(2700,plain,
% 118.23/118.34     (P4(a8,a8,a1,a5,a7,a7)),
% 118.23/118.34     inference(scs_inference,[],[2390,2479,2456,2491,2493,2667,2198,59,60,73,58,96,94,102,97,105,98,95,93,101])).
% 118.23/118.34  cnf(2705,plain,
% 118.23/118.34     (P4(a1,a1,a3,a1,a7,a2)),
% 118.23/118.34     inference(scs_inference,[],[2698,95])).
% 118.23/118.34  cnf(2707,plain,
% 118.23/118.34     (P4(a8,a7,a7,a1,a7,a7)),
% 118.23/118.34     inference(scs_inference,[],[2698,2062,95,96])).
% 118.23/118.34  cnf(2713,plain,
% 118.23/118.34     (P4(a1,a8,a8,a1,a2,a6)),
% 118.23/118.34     inference(scs_inference,[],[2421,2684,2698,2062,810,61,62,95,96,94,102,97])).
% 118.23/118.34  cnf(2715,plain,
% 118.23/118.34     (P4(a7,a7,a5,a8,a2,a2)),
% 118.23/118.34     inference(scs_inference,[],[2421,2684,2698,433,2062,810,61,62,95,96,94,102,97,98])).
% 118.23/118.34  cnf(2722,plain,
% 118.23/118.34     (P4(a8,a7,a2,a5,a2,a7)),
% 118.23/118.34     inference(scs_inference,[],[149,96])).
% 118.23/118.34  cnf(2728,plain,
% 118.23/118.34     (P4(a7,a7,a7,a1,a6,a2)),
% 118.23/118.34     inference(scs_inference,[],[2429,2466,2707,149,57,96,94,102,97])).
% 118.23/118.34  cnf(2730,plain,
% 118.23/118.34     (P4(a1,a1,a4,a1,a7,a6)),
% 118.23/118.34     inference(scs_inference,[],[2629,2429,2466,2707,149,67,57,96,94,102,97,105])).
% 118.23/118.34  cnf(2739,plain,
% 118.23/118.34     (P4(a8,a7,a4,a6,a2,a7)),
% 118.23/118.34     inference(scs_inference,[],[164,96])).
% 118.23/118.34  cnf(2747,plain,
% 118.23/118.34     (P4(a8,a7,a2,a8,a2,a2)),
% 118.23/118.34     inference(scs_inference,[],[2481,2648,2722,525,164,61,96,94,102,97,98])).
% 118.23/118.34  cnf(2751,plain,
% 118.23/118.34     (P4(a8,a7,a1,a8,a2,a2)),
% 118.23/118.34     inference(scs_inference,[],[2481,2570,2648,2722,525,164,8,69,61,96,94,102,97,98,106,103])).
% 118.23/118.34  cnf(2764,plain,
% 118.23/118.34     (P4(a1,a1,a6,a1,a7,a2)),
% 118.23/118.34     inference(scs_inference,[],[2705,2593,295,2065,60,70,57,96,94,97,102,105])).
% 118.23/118.34  cnf(2766,plain,
% 118.23/118.34     (P4(a7,a7,a1,a8,a6,a7)),
% 118.23/118.34     inference(scs_inference,[],[2705,2593,2616,295,2065,60,70,58,57,96,94,97,102,105,98])).
% 118.23/118.34  cnf(2768,plain,
% 118.23/118.34     (P4(a8,a7,a1,a5,a7,a7)),
% 118.23/118.34     inference(scs_inference,[],[2705,2646,2593,2616,295,2065,60,70,58,57,96,94,97,102,105,98,101])).
% 118.23/118.34  cnf(2772,plain,
% 118.23/118.34     (P4(a8,a1,a1,a5,a7,a7)),
% 118.23/118.34     inference(scs_inference,[],[2705,2646,2593,2616,2287,295,2065,60,70,58,57,96,94,97,102,105,98,101,106,93])).
% 118.23/118.34  cnf(2779,plain,
% 118.23/118.34     (P4(a7,a8,a1,a8,a6,a7)),
% 118.23/118.34     inference(scs_inference,[],[2766,625,96,94])).
% 118.23/118.34  cnf(2794,plain,
% 118.23/118.34     (P4(a8,a8,a1,a7,a7,a7)),
% 118.23/118.34     inference(scs_inference,[],[2071,2027,96,94])).
% 118.23/118.34  cnf(2798,plain,
% 118.23/118.34     (P4(a8,a7,a8,a5,a2,a2)),
% 118.23/118.34     inference(scs_inference,[],[2637,2633,2071,2027,59,96,94,97,102])).
% 118.23/118.34  cnf(2802,plain,
% 118.23/118.34     (P4(a7,a8,a1,a8,a6,a2)),
% 118.23/118.34     inference(scs_inference,[],[2508,2637,2633,2779,2071,2027,59,65,61,96,94,97,102,105,98])).
% 118.23/118.34  cnf(2817,plain,
% 118.23/118.34     (P4(a8,a1,a1,a6,a7,a7)),
% 118.23/118.34     inference(scs_inference,[],[2772,2692,515,2229,559,73,62,96,94,97,98,106])).
% 118.23/118.34  cnf(2819,plain,
% 118.23/118.34     (P4(a8,a8,a8,a2,a2,a7)),
% 118.23/118.34     inference(scs_inference,[],[2772,2692,515,2229,559,73,62,96,94,97,98,106,329])).
% 118.23/118.34  cnf(2821,plain,
% 118.23/118.34     (P4(a8,a7,a8,a1,a6,a6)),
% 118.23/118.34     inference(scs_inference,[],[2772,2692,2665,515,2229,559,73,62,96,94,97,98,106,329,102])).
% 118.23/118.34  cnf(2828,plain,
% 118.23/118.34     (P4(a7,a8,a3,a5,a2,a7)),
% 118.23/118.34     inference(scs_inference,[],[2262,132,96,94])).
% 118.23/118.34  cnf(2832,plain,
% 118.23/118.34     (P4(a1,a1,a5,a1,a6,a7)),
% 118.23/118.34     inference(scs_inference,[],[2585,2673,2262,132,58,57,96,94,101,97])).
% 118.23/118.34  cnf(2850,plain,
% 118.23/118.34     (P4(a8,a1,a5,a1,a2,a7)),
% 118.23/118.34     inference(scs_inference,[],[2535,2751,2828,107,58,61,96,94,101,97])).
% 118.23/118.34  cnf(2852,plain,
% 118.23/118.34     (P4(a7,a8,a3,a8,a2,a2)),
% 118.23/118.34     inference(scs_inference,[],[2535,2751,2266,2828,107,65,58,61,96,94,101,97,105])).
% 118.23/118.34  cnf(2862,plain,
% 118.23/118.34     (P4(a8,a7,a1,a6,a2,a7)),
% 118.23/118.34     inference(scs_inference,[],[111,96])).
% 118.23/118.34  cnf(2910,plain,
% 118.23/118.34     (P4(a8,a8,a8,a7,a7,a7)),
% 118.23/118.34     inference(scs_inference,[],[2159,2044,96,94])).
% 118.23/118.34  cnf(2914,plain,
% 118.23/118.34     (P4(a8,a1,a8,a1,a2,a2)),
% 118.23/118.34     inference(scs_inference,[],[2671,2516,2159,2044,57,61,96,94,101,97])).
% 118.23/118.34  cnf(2916,plain,
% 118.23/118.34     (P4(a7,a7,a6,a3,a2,a2)),
% 118.23/118.34     inference(scs_inference,[],[867,2671,2516,2159,2044,70,57,61,96,94,101,97,105])).
% 118.23/118.34  cnf(2924,plain,
% 118.23/118.34     (P4(a7,a8,a8,a7,a7,a7)),
% 118.23/118.34     inference(scs_inference,[],[356,2045,96,94])).
% 118.23/118.34  cnf(2926,plain,
% 118.23/118.34     (P4(a8,a8,a1,a5,a6,a7)),
% 118.23/118.34     inference(scs_inference,[],[2700,356,2045,62,96,94,101])).
% 118.23/118.34  cnf(2930,plain,
% 118.23/118.34     (P4(a1,a1,a3,a1,a6,a7)),
% 118.23/118.34     inference(scs_inference,[],[2700,2522,527,356,2045,62,96,94,101,98,97])).
% 118.23/118.34  cnf(2949,plain,
% 118.23/118.34     (P4(a1,a8,a1,a2,a2,a7)),
% 118.23/118.34     inference(scs_inference,[],[2739,2862,2566,583,75,71,69,58,96,94,101,105,106])).
% 118.23/118.34  cnf(2957,plain,
% 118.23/118.34     (P4(a8,a1,a1,a6,a2,a7)),
% 118.23/118.34     inference(scs_inference,[],[2817,631,61,96,101])).
% 118.23/118.34  cnf(2966,plain,
% 118.23/118.34     (P4(a8,a8,a2,a1,a6,a7)),
% 118.23/118.34     inference(scs_inference,[],[2568,132,71,96,105])).
% 118.23/118.34  cnf(2968,plain,
% 118.23/118.34     (P4(a8,a1,a8,a1,a2,a7)),
% 118.23/118.34     inference(scs_inference,[],[2568,2914,132,71,58,96,105,102])).
% 118.23/118.34  cnf(2980,plain,
% 118.23/118.34     (P4(a8,a1,a1,a3,a2,a7)),
% 118.23/118.34     inference(scs_inference,[],[2448,2574,2949,107,72,61,96,106,99,101])).
% 118.23/118.34  cnf(2986,plain,
% 118.23/118.34     (P4(a8,a1,a1,a8,a2,a2)),
% 118.23/118.34     inference(scs_inference,[],[2694,394,59,96,101])).
% 118.23/118.34  cnf(2998,plain,
% 118.23/118.34     (P4(a7,a8,a1,a8,a7,a2)),
% 118.23/118.34     inference(scs_inference,[],[2802,60,101])).
% 118.23/118.34  cnf(3002,plain,
% 118.23/118.34     (P4(a1,a8,a1,a8,a7,a2)),
% 118.23/118.34     inference(scs_inference,[],[2083,2802,60,70,101,106,95])).
% 118.23/118.34  cnf(3021,plain,
% 118.23/118.34     (P4(a1,a8,a1,a8,a6,a2)),
% 118.23/118.34     inference(scs_inference,[],[3002,2589,69,62,106,101])).
% 118.23/118.34  cnf(3023,plain,
% 118.23/118.34     (P4(a8,a7,a8,a1,a6,a2)),
% 118.23/118.34     inference(scs_inference,[],[3002,2589,2821,59,69,62,106,101,102])).
% 118.23/118.34  cnf(3029,plain,
% 118.23/118.34     (P4(a8,a8,a6,a8,a2,a2)),
% 118.23/118.34     inference(scs_inference,[],[2404,73,105])).
% 118.23/118.34  cnf(3040,plain,
% 118.23/118.34     (P4(a7,a7,a7,a4,a2,a6)),
% 118.23/118.34     inference(scs_inference,[],[875,2669,2373,74,106,104,105])).
% 118.23/118.34  cnf(3042,plain,
% 118.23/118.34     (P4(a8,a1,a3,a1,a6,a7)),
% 118.23/118.34     inference(scs_inference,[],[875,2656,2669,2373,74,62,106,104,105,97])).
% 118.23/118.34  cnf(3046,plain,
% 118.23/118.34     (P4(a8,a1,a8,a1,a2,a6)),
% 118.23/118.34     inference(scs_inference,[],[2968,62,102])).
% 118.23/118.34  cnf(3050,plain,
% 118.23/118.34     (P4(a8,a1,a1,a8,a2,a7)),
% 118.23/118.34     inference(scs_inference,[],[2850,2968,2986,58,57,62,102,97,98])).
% 118.23/118.34  cnf(3059,plain,
% 118.23/118.34     (P4(a8,a7,a8,a6,a2,a2)),
% 118.23/118.34     inference(scs_inference,[],[2798,73,106])).
% 118.23/118.34  cnf(3069,plain,
% 118.23/118.34     (P4(a1,a7,a7,a1,a7,a2)),
% 118.23/118.34     inference(scs_inference,[],[2966,2728,2798,3050,2910,60,63,73,61,62,106,102,97,98,105,95])).
% 118.23/118.34  cnf(3075,plain,
% 118.23/118.34     (P4(a1,a1,a7,a1,a7,a2)),
% 118.23/118.34     inference(scs_inference,[],[3069,93])).
% 118.23/118.34  cnf(3079,plain,
% 118.23/118.34     (P4(a8,a1,a8,a1,a6,a6)),
% 118.23/118.34     inference(scs_inference,[],[3021,3046,3069,59,57,93,101,97])).
% 118.23/118.34  cnf(3081,plain,
% 118.23/118.34     (P4(a1,a8,a1,a8,a6,a7)),
% 118.23/118.34     inference(scs_inference,[],[3021,3046,3069,59,58,57,93,101,97,98])).
% 118.23/118.34  cnf(3092,plain,
% 118.23/118.34     (P4(a7,a7,a6,a6,a2,a2)),
% 118.23/118.34     inference(scs_inference,[],[2916,70,106])).
% 118.23/118.34  cnf(3094,plain,
% 118.23/118.34     (P4(a1,a1,a7,a1,a2,a2)),
% 118.23/118.34     inference(scs_inference,[],[3075,2916,70,61,106,97])).
% 118.23/118.34  cnf(3096,plain,
% 118.23/118.34     (P4(a1,a8,a1,a8,a6,a6)),
% 118.23/118.34     inference(scs_inference,[],[3075,2916,3081,70,61,62,106,97,98])).
% 118.23/118.34  cnf(3098,plain,
% 118.23/118.34     (P4(a1,a1,a5,a1,a7,a2)),
% 118.23/118.34     inference(scs_inference,[],[3075,2916,3081,70,68,61,62,106,97,98,105])).
% 118.23/118.34  cnf(3102,plain,
% 118.23/118.34     (P4(a8,a1,a8,a1,a6,a7)),
% 118.23/118.34     inference(scs_inference,[],[3079,60,102])).
% 118.23/118.34  cnf(3104,plain,
% 118.23/118.34     (P4(a1,a1,a7,a1,a6,a2)),
% 118.23/118.34     inference(scs_inference,[],[3079,3094,60,57,102,97])).
% 118.23/118.34  cnf(3114,plain,
% 118.23/118.34     (P4(a1,a1,a4,a1,a2,a6)),
% 118.23/118.34     inference(scs_inference,[],[2730,3102,61,102,97])).
% 118.23/118.34  cnf(3129,plain,
% 118.23/118.34     (P4(a1,a1,a4,a1,a6,a6)),
% 118.23/118.34     inference(scs_inference,[],[2926,3114,2541,59,73,57,106,102,97])).
% 118.23/118.34  cnf(3131,plain,
% 118.23/118.34     (P4(a7,a8,a1,a8,a7,a7)),
% 118.23/118.34     inference(scs_inference,[],[2926,3114,2998,2541,59,73,58,57,106,102,97,98])).
% 118.23/118.34  cnf(3133,plain,
% 118.23/118.34     (P4(a7,a8,a2,a8,a2,a2)),
% 118.23/118.34     inference(scs_inference,[],[2852,2926,3114,2998,2541,59,69,73,58,57,106,102,97,98,105])).
% 118.23/118.34  cnf(3143,plain,
% 118.23/118.34     (P4(a1,a1,a6,a1,a2,a2)),
% 118.23/118.34     inference(scs_inference,[],[2764,3096,60,61,101,97])).
% 118.23/118.34  cnf(3145,plain,
% 118.23/118.34     (P4(a7,a8,a1,a8,a7,a6)),
% 118.23/118.34     inference(scs_inference,[],[2764,3096,3131,60,61,62,101,97,98])).
% 118.23/118.34  cnf(3156,plain,
% 118.23/118.34     (P4(a8,a1,a1,a2,a2,a7)),
% 118.23/118.34     inference(scs_inference,[],[2980,3133,8,69,103,106])).
% 118.23/118.34  cnf(3162,plain,
% 118.23/118.34     (P4(a7,a7,a7,a8,a2,a2)),
% 118.23/118.34     inference(scs_inference,[],[2715,2980,3133,3143,2085,8,69,74,57,61,103,106,97,98,105])).
% 118.23/118.34  cnf(3166,plain,
% 118.23/118.34     (P4(a1,a1,a3,a1,a2,a7)),
% 118.23/118.34     inference(scs_inference,[],[2930,59,97])).
% 118.23/118.34  cnf(3177,plain,
% 118.23/118.34     (P4(a1,a1,a5,a1,a6,a2)),
% 118.23/118.34     inference(scs_inference,[],[3040,3098,71,62,106,97])).
% 118.23/118.34  cnf(3179,plain,
% 118.23/118.34     (P4(a8,a8,a3,a8,a2,a2)),
% 118.23/118.34     inference(scs_inference,[],[3029,3040,3098,71,65,62,106,97,105])).
% 118.23/118.34  cnf(3183,plain,
% 118.23/118.34     (P4(a1,a8,a8,a1,a2,a7)),
% 118.23/118.34     inference(scs_inference,[],[2713,60,102])).
% 118.23/118.34  cnf(3185,plain,
% 118.23/118.34     (P4(a8,a7,a8,a1,a7,a2)),
% 118.23/118.34     inference(scs_inference,[],[3023,2713,60,102,97])).
% 118.23/118.34  cnf(3199,plain,
% 118.23/118.34     (P4(a7,a8,a1,a8,a2,a6)),
% 118.23/118.34     inference(scs_inference,[],[3059,3183,3145,65,61,106,102,101])).
% 118.23/118.34  cnf(3203,plain,
% 118.23/118.34     (P4(a7,a7,a2,a6,a2,a2)),
% 118.23/118.34     inference(scs_inference,[],[2677,3059,3183,3185,3145,71,65,61,106,102,101,97,105])).
% 118.23/118.34  cnf(3205,plain,
% 118.23/118.34     (P4(a7,a7,a8,a6,a2,a2)),
% 118.23/118.34     inference(scs_inference,[],[2677,3059,3183,3185,3145,71,65,61,106,102,101,97,105,166])).
% 118.23/118.34  cnf(3213,plain,
% 118.23/118.34     (P4(a8,a1,a3,a1,a2,a7)),
% 118.23/118.34     inference(scs_inference,[],[3042,2819,59,62,102,97])).
% 118.23/118.34  cnf(3226,plain,
% 118.23/118.34     (P4(a7,a7,a1,a6,a2,a2)),
% 118.23/118.34     inference(scs_inference,[],[3203,22,103])).
% 118.23/118.34  cnf(3230,plain,
% 118.23/118.34     (P4(a8,a1,a1,a6,a6,a7)),
% 118.23/118.34     inference(scs_inference,[],[3205,2957,3203,22,66,57,103,106,101])).
% 118.23/118.34  cnf(3236,plain,
% 118.23/118.34     (P4(a7,a7,a1,a6,a7,a2)),
% 118.23/118.34     inference(scs_inference,[],[3226,58,101])).
% 118.23/118.34  cnf(3240,plain,
% 118.23/118.34     (P4(a7,a1,a1,a6,a7,a2)),
% 118.23/118.34     inference(scs_inference,[],[2832,3226,73,58,101,105,93])).
% 118.23/118.34  cnf(3242,plain,
% 118.23/118.34     (P4(a1,a7,a1,a6,a7,a2)),
% 118.23/118.34     inference(scs_inference,[],[2832,3226,73,58,101,105,93,95])).
% 118.23/118.34  cnf(3248,plain,
% 118.23/118.34     (P4(a1,a1,a1,a6,a7,a2)),
% 118.23/118.34     inference(scs_inference,[],[3242,93])).
% 118.23/118.34  cnf(3256,plain,
% 118.23/118.34     (P4(a1,a1,a1,a6,a6,a2)),
% 118.23/118.34     inference(scs_inference,[],[3248,62,101])).
% 118.23/118.34  cnf(3270,plain,
% 118.23/118.34     (P4(a1,a7,a1,a8,a7,a7)),
% 118.23/118.34     inference(scs_inference,[],[3177,3230,3199,495,2242,59,65,58,57,61,106,102,101,97,98])).
% 118.23/118.34  cnf(3276,plain,
% 118.23/118.34     (P4(a1,a7,a1,a8,a6,a7)),
% 118.23/118.34     inference(scs_inference,[],[3270,62,101])).
% 118.23/118.34  cnf(3278,plain,
% 118.23/118.34     (P4(a1,a7,a1,a8,a7,a6)),
% 118.23/118.34     inference(scs_inference,[],[3270,62,101,98])).
% 118.23/118.34  cnf(3280,plain,
% 118.23/118.34     (P4(a7,a7,a5,a6,a2,a2)),
% 118.23/118.34     inference(scs_inference,[],[3092,3270,66,62,101,98,105])).
% 118.23/118.34  cnf(3286,plain,
% 118.23/118.34     (P4(a1,a1,a1,a3,a6,a2)),
% 118.23/118.34     inference(scs_inference,[],[3256,65,106])).
% 118.23/118.34  cnf(3288,plain,
% 118.23/118.34     (P4(a1,a7,a1,a8,a6,a2)),
% 118.23/118.34     inference(scs_inference,[],[3256,3276,65,61,106,98])).
% 118.23/118.34  cnf(3294,plain,
% 118.23/118.34     (P4(a1,a7,a1,a8,a6,a6)),
% 118.23/118.34     inference(scs_inference,[],[3288,57,98])).
% 118.23/118.34  cnf(3296,plain,
% 118.23/118.34     (P4(a1,a1,a4,a1,a6,a2)),
% 118.23/118.34     inference(scs_inference,[],[3104,3288,67,57,98,105])).
% 118.23/118.34  cnf(3320,plain,
% 118.23/118.34     (P4(a1,a7,a1,a8,a2,a6)),
% 118.23/118.34     inference(scs_inference,[],[3278,61,101])).
% 118.23/118.34  cnf(3322,plain,
% 118.23/118.34     (P4(a1,a1,a4,a1,a7,a2)),
% 118.23/118.34     inference(scs_inference,[],[3296,3278,60,61,101,97])).
% 118.23/118.34  cnf(3324,plain,
% 118.23/118.34     (P4(a8,a7,a7,a8,a2,a2)),
% 118.23/118.34     inference(scs_inference,[],[3296,3278,661,60,61,101,97,98])).
% 118.23/118.34  cnf(3331,plain,
% 118.23/118.34     (P4(a7,a7,a5,a5,a2,a2)),
% 118.23/118.34     inference(scs_inference,[],[3280,66,106])).
% 118.23/118.34  cnf(3333,plain,
% 118.23/118.34     (P4(a1,a1,a4,a1,a2,a2)),
% 118.23/118.34     inference(scs_inference,[],[3280,3322,66,61,106,97])).
% 118.23/118.34  cnf(3335,plain,
% 118.23/118.34     (P4(a8,a7,a7,a8,a2,a6)),
% 118.23/118.34     inference(scs_inference,[],[3280,3322,3324,66,57,61,106,97,98])).
% 118.23/118.34  cnf(3337,plain,
% 118.23/118.34     (P4(a1,a1,a2,a1,a6,a6)),
% 118.23/118.34     inference(scs_inference,[],[3129,3280,3322,3324,71,66,57,61,106,97,98,105])).
% 118.23/118.34  cnf(3343,plain,
% 118.23/118.34     (P4(a1,a7,a1,a8,a2,a2)),
% 118.23/118.34     inference(scs_inference,[],[3320,3337,59,97,98])).
% 118.23/118.34  cnf(3357,plain,
% 118.23/118.34     (P4(a1,a1,a2,a1,a2,a7)),
% 118.23/118.34     inference(scs_inference,[],[3166,3286,3343,69,58,106,98,105])).
% 118.23/118.34  cnf(3363,plain,
% 118.23/118.34     (P4(a7,a8,a6,a8,a2,a6)),
% 118.23/118.34     inference(scs_inference,[],[683,62,98])).
% 118.23/118.34  cnf(3367,plain,
% 118.23/118.34     (P4(a8,a8,a8,a6,a2,a6)),
% 118.23/118.34     inference(scs_inference,[],[2648,683,2747,62,98,104,102])).
% 118.23/118.34  cnf(3371,plain,
% 118.23/118.34     (P4(a7,a7,a5,a7,a2,a2)),
% 118.23/118.34     inference(scs_inference,[],[3331,74,106])).
% 118.23/118.34  cnf(3375,plain,
% 118.23/118.34     (P4(a7,a1,a1,a6,a6,a2)),
% 118.23/118.34     inference(scs_inference,[],[3294,3331,3240,74,62,106,105,101])).
% 118.23/118.34  cnf(3377,plain,
% 118.23/118.34     (P4(a7,a1,a1,a6,a2,a2)),
% 118.23/118.34     inference(scs_inference,[],[3375,59,101])).
% 118.23/118.34  cnf(3388,plain,
% 118.23/118.34     (P4(a7,a7,a5,a4,a2,a2)),
% 118.23/118.34     inference(scs_inference,[],[3213,3371,67,70,105,106])).
% 118.23/118.34  cnf(3392,plain,
% 118.23/118.34     (P4(a7,a7,a1,a8,a7,a7)),
% 118.23/118.34     inference(scs_inference,[],[3213,3371,2526,2157,67,70,58,61,105,106,101,98])).
% 118.23/118.34  cnf(3396,plain,
% 118.23/118.34     (P4(a1,a1,a2,a1,a7,a7)),
% 118.23/118.34     inference(scs_inference,[],[3367,3213,3357,3371,2526,2157,67,70,58,61,105,106,101,98,100,97])).
% 118.23/118.34  cnf(3400,plain,
% 118.23/118.34     (P4(a1,a1,a2,a1,a6,a7)),
% 118.23/118.34     inference(scs_inference,[],[3396,62,97])).
% 118.23/118.34  cnf(3402,plain,
% 118.23/118.34     (P4(a8,a8,a3,a8,a2,a6)),
% 118.23/118.34     inference(scs_inference,[],[3396,3179,57,62,97,98])).
% 118.23/118.34  cnf(3411,plain,
% 118.23/118.34     (P4(a8,a7,a4,a8,a2,a6)),
% 118.23/118.34     inference(scs_inference,[],[3335,67,105])).
% 118.23/118.34  cnf(3413,plain,
% 118.23/118.34     (P4(a7,a1,a1,a3,a2,a2)),
% 118.23/118.34     inference(scs_inference,[],[3335,3377,67,65,105,106])).
% 118.23/118.34  cnf(3415,plain,
% 118.23/118.34     (P4(a1,a7,a3,a1,a2,a2)),
% 118.23/118.34     inference(scs_inference,[],[3335,3377,2696,67,65,61,105,106,97])).
% 118.23/118.34  cnf(3421,plain,
% 118.23/118.34     (P4(a7,a8,a8,a5,a2,a2)),
% 118.23/118.34     inference(scs_inference,[],[3335,3363,3377,2696,630,792,67,65,61,105,106,97,98,104,102])).
% 118.23/118.34  cnf(3423,plain,
% 118.23/118.34     (P4(a7,a8,a8,a5,a2,a6)),
% 118.23/118.34     inference(scs_inference,[],[3421,57,102])).
% 118.23/118.34  cnf(3425,plain,
% 118.23/118.34     (P4(a7,a1,a1,a3,a6,a2)),
% 118.23/118.34     inference(scs_inference,[],[3421,3413,57,102,101])).
% 118.23/118.34  cnf(3432,plain,
% 118.23/118.34     (P4(a7,a7,a6,a4,a2,a2)),
% 118.23/118.34     inference(scs_inference,[],[3388,73,105])).
% 118.23/118.34  cnf(3434,plain,
% 118.23/118.34     (P4(a7,a8,a8,a1,a6,a6)),
% 118.23/118.34     inference(scs_inference,[],[3388,2667,73,62,105,102])).
% 118.23/118.34  cnf(3440,plain,
% 118.23/118.34     (P4(a7,a1,a1,a8,a7,a6)),
% 118.23/118.34     inference(scs_inference,[],[3388,3392,3236,2667,73,62,105,102,101,98,93])).
% 118.23/118.34  cnf(3447,plain,
% 118.23/118.34     (P4(a7,a8,a8,a7,a2,a6)),
% 118.23/118.34     inference(scs_inference,[],[3423,74,106])).
% 118.23/118.34  cnf(3449,plain,
% 118.23/118.34     (P4(a7,a7,a7,a8,a2,a6)),
% 118.23/118.34     inference(scs_inference,[],[3423,3162,74,57,106,98])).
% 118.23/118.34  cnf(3456,plain,
% 118.23/118.34     (P4(a7,a8,a8,a1,a6,a2)),
% 118.23/118.34     inference(scs_inference,[],[3402,3434,69,59,105,102])).
% 118.23/118.34  cnf(3460,plain,
% 118.23/118.34     (P4(a8,a8,a2,a8,a2,a2)),
% 118.23/118.34     inference(scs_inference,[],[3402,3434,3440,522,69,59,61,105,102,101,98])).
% 118.23/118.34  cnf(3479,plain,
% 118.23/118.34     (P4(a1,a7,a6,a1,a2,a2)),
% 118.23/118.34     inference(scs_inference,[],[3415,70,105])).
% 118.23/118.34  cnf(3481,plain,
% 118.23/118.34     (P4(a7,a7,a6,a7,a2,a2)),
% 118.23/118.34     inference(scs_inference,[],[3415,3432,72,70,105,106])).
% 118.23/118.34  cnf(3485,plain,
% 118.23/118.34     (P4(a7,a8,a8,a1,a7,a2)),
% 118.23/118.34     inference(scs_inference,[],[3415,3432,3447,3456,72,60,70,59,105,106,102,97])).
% 118.23/118.34  cnf(3497,plain,
% 118.23/118.34     (P4(a7,a7,a1,a4,a7,a7)),
% 118.23/118.34     inference(scs_inference,[],[3485,270,2924,58,61,102,97,101])).
% 118.23/118.34  cnf(3501,plain,
% 118.23/118.34     (P4(a1,a8,a8,a7,a7,a2)),
% 118.23/118.34     inference(scs_inference,[],[3485,270,2924,58,61,102,97,101,93,95])).
% 118.23/118.34  cnf(3503,plain,
% 118.23/118.34     (P4(a8,a7,a1,a4,a7,a7)),
% 118.23/118.34     inference(scs_inference,[],[3485,270,2924,58,61,102,97,101,93,95,96])).
% 118.23/118.34  cnf(3512,plain,
% 118.23/118.34     (P4(a8,a1,a1,a4,a7,a7)),
% 118.23/118.34     inference(scs_inference,[],[3503,93])).
% 118.23/118.34  cnf(3514,plain,
% 118.23/118.34     (P4(a1,a7,a1,a4,a7,a7)),
% 118.23/118.34     inference(scs_inference,[],[3497,3503,93,95])).
% 118.23/118.34  cnf(3516,plain,
% 118.23/118.34     (P4(a8,a7,a2,a8,a2,a6)),
% 118.23/118.34     inference(scs_inference,[],[3411,3497,3503,71,93,95,105])).
% 118.23/118.34  cnf(3520,plain,
% 118.23/118.34     (P4(a1,a7,a6,a1,a7,a2)),
% 118.23/118.34     inference(scs_inference,[],[3411,3425,3479,3497,3503,71,69,58,93,95,105,106,97])).
% 118.23/118.34  cnf(3533,plain,
% 118.23/118.34     (P4(a1,a1,a1,a4,a7,a7)),
% 118.23/118.34     inference(scs_inference,[],[3514,93])).
% 118.23/118.34  cnf(3537,plain,
% 118.23/118.34     (P4(a1,a8,a8,a7,a7,a6)),
% 118.23/118.34     inference(scs_inference,[],[3501,3514,3516,8,57,93,103,102])).
% 118.23/118.34  cnf(3539,plain,
% 118.23/118.34     (P4(a1,a7,a6,a1,a6,a2)),
% 118.23/118.34     inference(scs_inference,[],[3501,3514,3516,3520,8,57,62,93,103,102,97])).
% 118.23/118.34  cnf(3541,plain,
% 118.23/118.34     (P4(a8,a1,a1,a4,a6,a7)),
% 118.23/118.34     inference(scs_inference,[],[3512,3501,3514,3516,3520,8,57,62,93,103,102,97,101])).
% 118.23/118.34  cnf(3552,plain,
% 118.23/118.34     (P4(a1,a7,a5,a1,a6,a2)),
% 118.23/118.34     inference(scs_inference,[],[3539,66,105])).
% 118.23/118.34  cnf(3556,plain,
% 118.23/118.34     (P4(a7,a8,a8,a4,a2,a2)),
% 118.23/118.34     inference(scs_inference,[],[3533,3539,499,72,66,61,105,106,102])).
% 118.23/118.34  cnf(3558,plain,
% 118.23/118.34     (P4(a1,a7,a8,a1,a2,a6)),
% 118.23/118.34     inference(scs_inference,[],[3533,3539,2209,499,72,66,61,105,106,102,97])).
% 118.23/118.34  cnf(3577,plain,
% 118.23/118.34     (P4(a7,a7,a3,a7,a2,a2)),
% 118.23/118.34     inference(scs_inference,[],[3481,65,105])).
% 118.23/118.34  cnf(3583,plain,
% 118.23/118.34     (P4(a8,a1,a1,a4,a2,a7)),
% 118.23/118.34     inference(scs_inference,[],[3481,3541,3556,3558,71,60,65,59,105,106,102,101])).
% 118.23/118.34  cnf(3585,plain,
% 118.23/118.34     (P4(a8,a7,a6,a8,a2,a6)),
% 118.23/118.34     inference(scs_inference,[],[3481,3541,3556,3558,706,71,60,65,59,62,105,106,102,101,98])).
% 118.23/118.34  cnf(3602,plain,
% 118.23/118.34     (P4(a7,a7,a2,a7,a2,a2)),
% 118.23/118.34     inference(scs_inference,[],[3577,69,105])).
% 118.23/118.34  cnf(3604,plain,
% 118.23/118.34     (P4(a8,a1,a1,a7,a2,a7)),
% 118.23/118.34     inference(scs_inference,[],[3583,3577,72,69,105,106])).
% 118.23/118.34  cnf(3606,plain,
% 118.23/118.34     (P4(a8,a7,a8,a6,a2,a6)),
% 118.23/118.34     inference(scs_inference,[],[3583,3577,2627,72,69,62,105,106,102])).
% 118.23/118.34  cnf(3612,plain,
% 118.23/118.34     (P4(a7,a7,a1,a7,a2,a2)),
% 118.23/118.34     inference(scs_inference,[],[3602,29,103])).
% 118.23/118.34  cnf(3622,plain,
% 118.23/118.34     (P4(a7,a7,a1,a4,a2,a2)),
% 118.23/118.34     inference(scs_inference,[],[3612,67,106])).
% 118.23/118.34  cnf(3624,plain,
% 118.23/118.34     (P4(a1,a7,a5,a1,a7,a2)),
% 118.23/118.34     inference(scs_inference,[],[3612,3552,67,60,106,97])).
% 118.23/118.34  cnf(3626,plain,
% 118.23/118.34     (P4(a7,a7,a1,a7,a7,a2)),
% 118.23/118.34     inference(scs_inference,[],[3612,3552,67,60,58,106,97,101])).
% 118.23/118.34  cnf(3630,plain,
% 118.23/118.34     (P4(a1,a7,a1,a7,a7,a2)),
% 118.23/118.34     inference(scs_inference,[],[3612,3552,67,60,58,106,97,101,93,95])).
% 118.23/118.34  cnf(3637,plain,
% 118.23/118.34     (P4(a1,a1,a1,a7,a7,a2)),
% 118.23/118.34     inference(scs_inference,[],[3630,93])).
% 118.23/118.34  cnf(3641,plain,
% 118.23/118.34     (P4(a1,a7,a5,a1,a2,a2)),
% 118.23/118.34     inference(scs_inference,[],[3624,3630,3449,68,61,93,105,97])).
% 118.23/118.34  cnf(3643,plain,
% 118.23/118.34     (P4(a7,a7,a1,a4,a7,a2)),
% 118.23/118.34     inference(scs_inference,[],[3622,3624,3630,3449,68,58,61,93,105,97,101])).
% 118.23/118.34  cnf(3645,plain,
% 118.23/118.34     (P4(a1,a7,a1,a4,a7,a2)),
% 118.23/118.34     inference(scs_inference,[],[3622,3624,3630,3449,68,58,61,93,105,97,101,95])).
% 118.23/118.34  cnf(3649,plain,
% 118.23/118.34     (P4(a7,a7,a1,a5,a7,a2)),
% 118.23/118.34     inference(scs_inference,[],[3606,3622,3624,3626,3630,3449,68,58,61,93,105,97,101,95,100,106])).
% 118.23/118.34  cnf(3651,plain,
% 118.23/118.34     (P4(a8,a7,a8,a4,a2,a2)),
% 118.23/118.34     inference(scs_inference,[],[3606,3622,3624,3626,3630,3449,572,68,58,61,93,105,97,101,95,100,106,102])).
% 118.23/118.34  cnf(3655,plain,
% 118.23/118.34     (P4(a1,a7,a1,a5,a7,a2)),
% 118.23/118.34     inference(scs_inference,[],[3643,3649,93,95])).
% 118.23/118.34  cnf(3657,plain,
% 118.23/118.34     (P4(a8,a7,a8,a4,a2,a6)),
% 118.23/118.34     inference(scs_inference,[],[3651,3643,3649,57,93,95,102])).
% 118.23/118.34  cnf(3659,plain,
% 118.23/118.34     (P4(a7,a1,a8,a1,a6,a6)),
% 118.23/118.34     inference(scs_inference,[],[3651,3643,3649,2211,57,62,93,95,102,97])).
% 118.23/118.34  cnf(3661,plain,
% 118.23/118.34     (P4(a1,a1,a1,a7,a6,a2)),
% 118.23/118.34     inference(scs_inference,[],[3637,3651,3643,3649,2211,57,62,93,95,102,97,101])).
% 118.23/118.34  cnf(3672,plain,
% 118.23/118.34     (P4(a1,a7,a7,a1,a2,a2)),
% 118.23/118.34     inference(scs_inference,[],[3645,3641,74,93,105])).
% 118.23/118.34  cnf(3674,plain,
% 118.23/118.34     (P4(a8,a7,a8,a7,a2,a6)),
% 118.23/118.34     inference(scs_inference,[],[3645,3641,3657,72,74,93,105,106])).
% 118.23/118.34  cnf(3676,plain,
% 118.23/118.34     (P4(a7,a1,a8,a1,a6,a7)),
% 118.23/118.34     inference(scs_inference,[],[3645,3641,3657,3659,72,74,60,93,105,106,102])).
% 118.23/118.34  cnf(3678,plain,
% 118.23/118.34     (P4(a1,a1,a1,a7,a2,a2)),
% 118.23/118.34     inference(scs_inference,[],[3645,3641,3657,3659,3661,72,74,60,59,93,105,106,102,101])).
% 118.23/118.34  cnf(3684,plain,
% 118.23/118.34     (P4(a1,a1,a1,a5,a7,a2)),
% 118.23/118.34     inference(scs_inference,[],[3655,93])).
% 118.23/118.34  cnf(3688,plain,
% 118.23/118.34     (P4(a1,a7,a1,a5,a2,a2)),
% 118.23/118.34     inference(scs_inference,[],[3655,3674,59,61,93,102,101])).
% 118.23/118.34  cnf(3703,plain,
% 118.23/118.34     (P4(a1,a1,a4,a1,a6,a7)),
% 118.23/118.34     inference(scs_inference,[],[3400,3649,542,64,62,93,98,105])).
% 118.23/118.34  cnf(3707,plain,
% 118.23/118.34     (P4(a7,a7,a8,a5,a2,a6)),
% 118.23/118.34     inference(scs_inference,[],[3400,3678,3649,396,542,64,67,62,93,98,105,106,102])).
% 118.23/118.34  cnf(3713,plain,
% 118.23/118.34     (P4(a7,a1,a8,a1,a6,a2)),
% 118.23/118.34     inference(scs_inference,[],[3676,61,102])).
% 118.23/118.34  cnf(3715,plain,
% 118.23/118.34     (P4(a1,a1,a4,a1,a7,a7)),
% 118.23/118.34     inference(scs_inference,[],[3703,3676,60,61,102,97])).
% 118.23/118.34  cnf(3717,plain,
% 118.23/118.34     (P4(a1,a1,a1,a5,a2,a2)),
% 118.23/118.34     inference(scs_inference,[],[3684,3703,3676,60,61,102,97,101])).
% 118.23/118.34  cnf(3728,plain,
% 118.23/118.34     (P4(a1,a7,a4,a1,a2,a2)),
% 118.23/118.34     inference(scs_inference,[],[3672,67,105])).
% 118.23/118.34  cnf(3734,plain,
% 118.23/118.34     (P4(a1,a1,a4,a1,a2,a7)),
% 118.23/118.34     inference(scs_inference,[],[3672,3688,3715,2065,67,73,61,105,106,102,97])).
% 118.23/118.34  cnf(3741,plain,
% 118.23/118.34     (P4(a7,a1,a8,a1,a2,a2)),
% 118.23/118.34     inference(scs_inference,[],[3713,59,97])).
% 118.23/118.34  cnf(3756,plain,
% 118.23/118.34     (P4(a1,a7,a4,a1,a7,a2)),
% 118.23/118.34     inference(scs_inference,[],[3707,3728,71,74,58,105,106,97])).
% 118.23/118.34  cnf(3764,plain,
% 118.23/118.34     (P4(a1,a7,a4,a1,a6,a2)),
% 118.23/118.34     inference(scs_inference,[],[3756,62,97])).
% 118.23/118.34  cnf(3777,plain,
% 118.23/118.34     (P4(a1,a8,a7,a1,a2,a7)),
% 118.23/118.34     inference(scs_inference,[],[3717,3764,2102,71,73,61,105,106,97])).
% 118.23/118.34  cnf(3779,plain,
% 118.23/118.34     (P4(a1,a7,a8,a1,a6,a2)),
% 118.23/118.34     inference(scs_inference,[],[3717,3764,2102,71,73,61,105,106,97,157])).
% 118.23/118.34  cnf(3781,plain,
% 118.23/118.34     (P4(a7,a1,a8,a1,a2,a7)),
% 118.23/118.34     inference(scs_inference,[],[3741,58,102])).
% 118.23/118.34  cnf(3792,plain,
% 118.23/118.34     (P4(a1,a7,a8,a1,a6,a7)),
% 118.23/118.34     inference(scs_inference,[],[3779,3333,71,58,105,102])).
% 118.23/118.34  cnf(3808,plain,
% 118.23/118.34     (P4(a7,a7,a1,a3,a7,a7)),
% 118.23/118.34     inference(scs_inference,[],[130,2077,554,58,61,102,105,101])).
% 118.23/118.34  cnf(3819,plain,
% 118.23/118.34     (P4(a1,a7,a1,a3,a7,a7)),
% 118.23/118.34     inference(scs_inference,[],[3808,95])).
% 118.23/118.34  cnf(3821,plain,
% 118.23/118.34     (P4(a7,a1,a1,a3,a7,a7)),
% 118.23/118.34     inference(scs_inference,[],[3808,95,93])).
% 118.23/118.34  cnf(3825,plain,
% 118.23/118.34     (P4(a1,a1,a7,a1,a2,a7)),
% 118.23/118.34     inference(scs_inference,[],[3734,3808,72,95,93,96,105])).
% 118.23/118.34  cnf(3829,plain,
% 118.23/118.34     (P4(a7,a7,a1,a3,a6,a7)),
% 118.23/118.34     inference(scs_inference,[],[3734,3808,3781,72,62,95,93,96,105,102,101])).
% 118.23/118.34  cnf(3831,plain,
% 118.23/118.34     (P4(a7,a8,a1,a3,a6,a7)),
% 118.23/118.34     inference(scs_inference,[],[3734,3808,3781,72,62,95,93,96,105,102,101,94])).
% 118.23/118.34  cnf(3837,plain,
% 118.23/118.34     (P4(a1,a1,a1,a3,a7,a7)),
% 118.23/118.34     inference(scs_inference,[],[3821,95])).
% 118.23/118.34  cnf(3841,plain,
% 118.23/118.34     (P4(a8,a7,a8,a7,a7,a2)),
% 118.23/118.34     inference(scs_inference,[],[3821,3829,2044,61,95,96,102])).
% 118.23/118.34  cnf(3845,plain,
% 118.23/118.34     (P4(a1,a7,a1,a3,a2,a7)),
% 118.23/118.34     inference(scs_inference,[],[3819,3821,3825,3829,2044,57,61,95,96,102,97,101])).
% 118.23/118.34  cnf(3856,plain,
% 118.23/118.34     (P4(a1,a8,a5,a1,a2,a7)),
% 118.23/118.34     inference(scs_inference,[],[3777,68,105])).
% 118.23/118.34  cnf(3860,plain,
% 118.23/118.34     (P4(a7,a8,a1,a6,a6,a7)),
% 118.23/118.34     inference(scs_inference,[],[3831,3841,3777,68,70,57,105,102,106])).
% 118.23/118.34  cnf(3862,plain,
% 118.23/118.34     (P4(a7,a7,a6,a1,a7,a6)),
% 118.23/118.34     inference(scs_inference,[],[3831,3841,3777,912,68,70,58,57,105,102,106,97])).
% 118.23/118.34  cnf(3868,plain,
% 118.23/118.34     (P4(a7,a1,a6,a1,a7,a6)),
% 118.23/118.34     inference(scs_inference,[],[3831,3841,3845,3777,912,68,70,58,57,105,102,106,97,101,113,93])).
% 118.23/118.34  cnf(3870,plain,
% 118.23/118.34     (P4(a1,a7,a6,a1,a7,a6)),
% 118.23/118.34     inference(scs_inference,[],[3831,3841,3845,3777,912,68,70,58,57,105,102,106,97,101,113,93,95])).
% 118.23/118.34  cnf(3872,plain,
% 118.23/118.34     (P4(a1,a1,a6,a1,a7,a6)),
% 118.23/118.34     inference(scs_inference,[],[3868,95])).
% 118.23/118.34  cnf(3874,plain,
% 118.23/118.34     (P4(a7,a7,a8,a7,a7,a2)),
% 118.23/118.34     inference(scs_inference,[],[3868,2045,61,95,102])).
% 118.23/118.34  cnf(3876,plain,
% 118.23/118.34     (P4(a1,a7,a6,a1,a2,a6)),
% 118.23/118.34     inference(scs_inference,[],[3870,3868,2045,61,95,102,97])).
% 118.23/118.34  cnf(3878,plain,
% 118.23/118.34     (P4(a1,a1,a1,a3,a2,a7)),
% 118.23/118.34     inference(scs_inference,[],[3837,3870,3868,2045,61,95,102,97,101])).
% 118.23/118.34  cnf(3885,plain,
% 118.23/118.34     (P4(a7,a7,a8,a7,a7,a6)),
% 118.23/118.34     inference(scs_inference,[],[3874,57,102])).
% 118.23/118.34  cnf(3887,plain,
% 118.23/118.34     (P4(a1,a1,a6,a1,a6,a6)),
% 118.23/118.34     inference(scs_inference,[],[3872,3874,57,62,102,97])).
% 118.23/118.34  cnf(3889,plain,
% 118.23/118.34     (P4(a1,a1,a1,a3,a6,a7)),
% 118.23/118.34     inference(scs_inference,[],[3872,3874,3878,57,62,102,97,101])).
% 118.23/118.34  cnf(3893,plain,
% 118.23/118.34     (P4(a1,a7,a8,a7,a7,a6)),
% 118.23/118.34     inference(scs_inference,[],[3872,3874,3878,57,62,102,97,101,93,95])).
% 118.23/118.34  cnf(3906,plain,
% 118.23/118.34     (P4(a1,a1,a5,a1,a6,a6)),
% 118.23/118.34     inference(scs_inference,[],[3887,3893,66,93,105])).
% 118.23/118.34  cnf(3908,plain,
% 118.23/118.34     (P4(a7,a7,a8,a4,a7,a6)),
% 118.23/118.34     inference(scs_inference,[],[3887,3885,3893,66,67,93,105,106])).
% 118.23/118.34  cnf(3914,plain,
% 118.23/118.34     (P4(a7,a8,a1,a6,a7,a7)),
% 118.23/118.34     inference(scs_inference,[],[3887,3885,3893,3860,3792,66,67,60,59,62,93,105,106,102,97,101])).
% 118.23/118.34  cnf(3916,plain,
% 118.23/118.34     (P4(a1,a7,a8,a4,a7,a6)),
% 118.23/118.34     inference(scs_inference,[],[3887,3885,3893,3860,3792,66,67,60,59,62,93,105,106,102,97,101,95])).
% 118.23/118.34  cnf(3923,plain,
% 118.23/118.34     (P4(a7,a1,a8,a4,a7,a6)),
% 118.23/118.34     inference(scs_inference,[],[3908,93])).
% 118.23/118.34  cnf(3925,plain,
% 118.23/118.34     (P4(a1,a8,a1,a6,a7,a7)),
% 118.23/118.34     inference(scs_inference,[],[3908,3914,93,95])).
% 118.23/118.34  cnf(3927,plain,
% 118.23/118.34     (P4(a1,a1,a5,a1,a7,a6)),
% 118.23/118.34     inference(scs_inference,[],[3906,3908,3914,60,93,95,97])).
% 118.23/118.34  cnf(3942,plain,
% 118.23/118.34     (P4(a1,a7,a8,a4,a7,a7)),
% 118.23/118.34     inference(scs_inference,[],[3916,3856,73,60,93,105,102])).
% 118.23/118.34  cnf(3944,plain,
% 118.23/118.34     (P4(a1,a7,a8,a2,a7,a6)),
% 118.23/118.34     inference(scs_inference,[],[3916,3856,71,73,60,93,105,102,106])).
% 118.23/118.34  cnf(3946,plain,
% 118.23/118.34     (P4(a1,a1,a5,a1,a2,a6)),
% 118.23/118.34     inference(scs_inference,[],[3916,3856,3927,71,73,60,61,93,105,102,106,97])).
% 118.23/118.34  cnf(3950,plain,
% 118.23/118.34     (P4(a1,a8,a8,a4,a7,a7)),
% 118.23/118.34     inference(scs_inference,[],[3916,3856,3925,3927,71,73,60,62,61,93,105,102,106,97,101,94])).
% 118.23/118.34  cnf(3959,plain,
% 118.23/118.34     (P4(a7,a1,a8,a4,a7,a7)),
% 118.23/118.34     inference(scs_inference,[],[3923,3942,60,93,102])).
% 118.23/118.34  cnf(3961,plain,
% 118.23/118.34     (P4(a7,a7,a6,a1,a6,a6)),
% 118.23/118.34     inference(scs_inference,[],[3923,3942,3862,60,62,93,102,97])).
% 118.23/118.34  cnf(3965,plain,
% 118.23/118.34     (P4(a8,a1,a8,a4,a7,a7)),
% 118.23/118.34     inference(scs_inference,[],[3923,3942,3862,2768,60,62,93,102,97,101,96])).
% 118.23/118.34  cnf(3971,plain,
% 118.23/118.34     (P4(a1,a1,a8,a2,a7,a6)),
% 118.23/118.34     inference(scs_inference,[],[3944,93])).
% 118.23/118.34  cnf(3973,plain,
% 118.23/118.34     (P4(a7,a7,a3,a1,a6,a6)),
% 118.23/118.34     inference(scs_inference,[],[3944,3961,65,93,105])).
% 118.23/118.34  cnf(3986,plain,
% 118.23/118.34     (P4(a1,a8,a8,a2,a7,a7)),
% 118.23/118.34     inference(scs_inference,[],[3950,71,61,102,106])).
% 118.23/118.34  cnf(3990,plain,
% 118.23/118.34     (P4(a1,a7,a3,a1,a7,a6)),
% 118.23/118.34     inference(scs_inference,[],[3950,3973,71,60,61,102,106,97,95])).
% 118.23/118.34  cnf(3992,plain,
% 118.23/118.34     (P4(a7,a1,a3,a1,a7,a6)),
% 118.23/118.34     inference(scs_inference,[],[3950,3973,71,60,61,102,106,97,95,93])).
% 118.23/118.34  cnf(4001,plain,
% 118.23/118.34     (P4(a1,a7,a5,a1,a2,a6)),
% 118.23/118.34     inference(scs_inference,[],[3992,3876,66,95,105])).
% 118.23/118.34  cnf(4003,plain,
% 118.23/118.34     (P4(a1,a1,a8,a2,a7,a2)),
% 118.23/118.34     inference(scs_inference,[],[3971,3992,3876,66,59,95,105,102])).
% 118.23/118.34  cnf(4010,plain,
% 118.23/118.34     (P4(a8,a1,a8,a4,a7,a6)),
% 118.23/118.34     inference(scs_inference,[],[3965,62,102])).
% 118.23/118.34  cnf(4012,plain,
% 118.23/118.34     (P4(a1,a1,a1,a6,a6,a7)),
% 118.23/118.34     inference(scs_inference,[],[3965,3889,70,62,102,106])).
% 118.23/118.34  cnf(4020,plain,
% 118.23/118.34     (P4(a1,a7,a5,a1,a7,a6)),
% 118.23/118.34     inference(scs_inference,[],[4001,58,97])).
% 118.23/118.34  cnf(4026,plain,
% 118.23/118.34     (P4(a1,a8,a8,a3,a7,a7)),
% 118.23/118.34     inference(scs_inference,[],[3986,4001,4012,3460,63,60,58,97,101,104,106])).
% 118.23/118.34  cnf(4031,plain,
% 118.23/118.34     (P4(a1,a1,a8,a2,a7,a7)),
% 118.23/118.34     inference(scs_inference,[],[4003,58,102])).
% 118.23/118.34  cnf(4033,plain,
% 118.23/118.34     (P4(a1,a7,a5,a1,a6,a6)),
% 118.23/118.34     inference(scs_inference,[],[4003,4020,58,62,102,97])).
% 118.23/118.34  cnf(4041,plain,
% 118.23/118.34     (P4(a8,a1,a8,a4,a7,a2)),
% 118.23/118.34     inference(scs_inference,[],[4010,59,102])).
% 118.23/118.34  cnf(4054,plain,
% 118.23/118.34     (P4(a1,a8,a8,a3,a7,a2)),
% 118.23/118.34     inference(scs_inference,[],[4026,4033,73,61,105,102])).
% 118.23/118.34  cnf(4063,plain,
% 118.23/118.34     (P4(a1,a1,a8,a3,a7,a7)),
% 118.23/118.34     inference(scs_inference,[],[4031,3959,63,61,102,106])).
% 118.23/118.34  cnf(4071,plain,
% 118.23/118.34     (P4(a1,a1,a8,a3,a7,a6)),
% 118.23/118.34     inference(scs_inference,[],[3946,4063,74,62,105,102])).
% 118.23/118.34  cnf(4073,plain,
% 118.23/118.34     (P4(a1,a7,a3,a1,a6,a6)),
% 118.23/118.34     inference(scs_inference,[],[3946,4063,3990,74,62,105,102,97])).
% 118.23/118.34  cnf(4080,plain,
% 118.23/118.34     (P4(a1,a1,a8,a3,a7,a2)),
% 118.23/118.34     inference(scs_inference,[],[4063,61,102])).
% 118.23/118.34  cnf(4082,plain,
% 118.23/118.34     (P4(a1,a8,a8,a6,a7,a2)),
% 118.23/118.34     inference(scs_inference,[],[4054,4063,70,61,102,106])).
% 118.23/118.34  cnf(4097,plain,
% 118.23/118.34     (P4(a1,a1,a8,a6,a7,a6)),
% 118.23/118.34     inference(scs_inference,[],[4071,70,106])).
% 118.23/118.34  cnf(4120,plain,
% 118.23/118.34     (P4(a1,a7,a2,a1,a6,a6)),
% 118.23/118.34     inference(scs_inference,[],[4041,4073,69,71,106,105])).
% 118.23/118.34  cnf(4122,plain,
% 118.23/118.34     (P4(a1,a8,a8,a6,a7,a7)),
% 118.23/118.34     inference(scs_inference,[],[4041,4082,4073,69,71,58,106,105,102])).
% 118.23/118.34  cnf(4126,plain,
% 118.23/118.34     (P4(a1,a7,a2,a1,a7,a6)),
% 118.23/118.34     inference(scs_inference,[],[4120,60,97])).
% 118.23/118.34  cnf(4128,plain,
% 118.23/118.34     (P4(a1,a8,a8,a6,a7,a6)),
% 118.23/118.34     inference(scs_inference,[],[4120,4122,60,62,97,102])).
% 118.23/118.34  cnf(4145,plain,
% 118.23/118.34     (P4(a1,a1,a8,a6,a7,a2)),
% 118.23/118.34     inference(scs_inference,[],[4080,4126,70,61,97,106])).
% 118.23/118.34  cnf(4155,plain,
% 118.23/118.34     (P4(a1,a1,a8,a6,a7,a7)),
% 118.23/118.34     inference(scs_inference,[],[4145,58,102])).
% 118.23/118.34  cnf(4173,plain,
% 118.23/118.34     (P4(a7,a7,a3,a1,a7,a7)),
% 118.23/118.34     inference(scs_inference,[],[4128,264,65,58,106,97])).
% 118.23/118.34  cnf(4179,plain,
% 118.23/118.34     (P4(a1,a7,a3,a1,a7,a7)),
% 118.23/118.34     inference(scs_inference,[],[4128,264,199,2470,65,58,61,106,97,101,103,95])).
% 118.23/118.34  cnf(4188,plain,
% 118.23/118.34     (P4(a8,a7,a3,a1,a7,a7)),
% 118.23/118.34     inference(scs_inference,[],[4173,96])).
% 118.23/118.34  cnf(4190,plain,
% 118.23/118.34     (P4(a7,a7,a3,a1,a6,a7)),
% 118.23/118.34     inference(scs_inference,[],[4173,62,96,97])).
% 118.23/118.34  cnf(4211,plain,
% 118.23/118.34     (P4(a8,a1,a2,a1,a7,a7)),
% 118.23/118.34     inference(scs_inference,[],[4188,4155,4190,4179,66,69,61,96,97,106,105,93])).
% 118.23/118.34  cnf(4365,plain,
% 118.23/118.34     (~P4(a1,a6,a1,a1,a2,a2)),
% 118.23/118.34     inference(scs_inference,[],[61,58,69,2023,2029,2373,3808,2044,2379,2087,2188,2949,3357,2794,3501,3604,86,85,91,92,119,121,88,87,89,90,142,140,106,97,102,101])).
% 118.23/118.34  cnf(4373,plain,
% 118.23/118.34     (~P4(a1,a6,a6,a7,a7,a7)),
% 118.23/118.34     inference(scs_inference,[],[61,58,69,2023,2029,2373,3808,2044,2379,2437,2087,2188,2949,3357,2794,3501,3604,86,85,91,92,119,121,88,87,89,90,142,140,106,97,102,101,98,95,229,457])).
% 118.23/118.34  cnf(4385,plain,
% 118.23/118.34     (P4(a1,a6,a8,a1,a7,a6)),
% 118.23/118.34     inference(scs_inference,[],[2373,3585,3357,4373,3537,85,95,91,92,119,121])).
% 118.23/118.34  cnf(4441,plain,
% 118.23/118.34     (~P4(a1,a6,a5,a2,a2,a2)),
% 118.23/118.34     inference(scs_inference,[],[61,58,68,2045,3363,2949,4097,2747,2085,2122,4063,2477,2254,2250,2365,3604,4365,85,95,91,92,88,87,89,90,140,86,106,97,102,101,98,419])).
% 118.23/118.34  cnf(4535,plain,
% 118.23/118.34     ($false),
% 118.23/118.34     inference(scs_inference,[],[58,59,3460,3156,3916,3501,4211,3986,3230,2386,2153,4441,4385,95,88,89,90,87,85,91,86,92,333,119,117,101,102]),
% 118.23/118.34     ['proof']).
% 118.23/118.34  % SZS output end Proof
% 118.23/118.34  % Total time :117.800000s
%------------------------------------------------------------------------------