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CSE---1.7.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE---1.7
% Problem  : PLA031-1.003 : TPTP v8.2.0. Released v3.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s

% Computer : n021.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon Jun 24 13:35:34 EDT 2024

% Result   : Unsatisfiable 117.14s 117.26s
% Output   : CNFRefutation 117.42s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.14  % Problem    : PLA031-1.003 : TPTP v8.2.0. Released v3.5.0.
% 0.11/0.14  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.35  % Computer : n021.cluster.edu
% 0.12/0.35  % Model    : x86_64 x86_64
% 0.12/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35  % Memory   : 8042.1875MB
% 0.12/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.36  % CPULimit   : 300
% 0.12/0.36  % WCLimit    : 300
% 0.12/0.36  % DateTime   : Tue Jun 18 16:56:24 EDT 2024
% 0.12/0.36  % CPUTime    : 
% 0.60/0.64  start to proof:theBenchmark
% 117.14/117.24  %-------------------------------------------
% 117.14/117.24  % File        :CSE---1.7
% 117.14/117.24  % Problem     :theBenchmark
% 117.14/117.24  % Transform   :cnf
% 117.14/117.24  % Format      :tptp:raw
% 117.14/117.24  % Command     :java -jar mcs_scs.jar %d %s
% 117.14/117.24  
% 117.14/117.24  % Result      :Theorem 116.510000s
% 117.14/117.24  % Output      :CNFRefutation 116.510000s
% 117.14/117.24  %-------------------------------------------
% 117.14/117.24  %------------------------------------------------------------------------------
% 117.14/117.24  % File     : PLA031-1.003 : TPTP v8.2.0. Released v3.5.0.
% 117.14/117.24  % Domain   : Planning
% 117.14/117.24  % Problem  : Driver's log k=03
% 117.14/117.24  % Version  : Especial.
% 117.14/117.24  % English  : A planning domain that involves driving trucks around
% 117.14/117.24  %            delivering packages between locations. The complication is
% 117.14/117.24  %            that the trucks require drivers who must walk between trucks
% 117.14/117.24  %            in order to drive them. The paths for walking and the roads
% 117.14/117.24  %            for driving form different maps on the locations.
% 117.14/117.24  %            Instances were semi-automatically translated from the basic
% 117.14/117.24  %            Strips instances used in the 2002 Planning Competition.
% 117.14/117.24  
% 117.14/117.24  % Refs     : [LF03] Long & Fox (2003), The 3rd International Planning Compe
% 117.14/117.24  %          : [NV07a] Navarro (2007), Email to Geoff Sutcliffe
% 117.14/117.24  %          : [NV07b] Navarro & Voronkov (2007), Encoding Problems and Reaso
% 117.14/117.24  % Source   : [NV07a]
% 117.14/117.24  % Names    : driverlog03 [NV07a]
% 117.14/117.24  
% 117.14/117.25  % Status   : Unsatisfiable
% 117.14/117.25  % Rating   : 0.00 v7.3.0, 0.20 v7.2.0, 0.22 v7.1.0, 0.29 v7.0.0, 0.14 v6.4.0, 0.17 v6.3.0, 0.50 v6.2.0, 0.25 v6.0.0, 0.00 v5.5.0, 0.20 v5.4.0, 0.33 v5.0.0, 0.50 v4.1.0, 0.40 v4.0.1, 0.60 v3.7.0, 0.75 v3.5.0
% 117.14/117.25  % Syntax   : Number of clauses     :  112 (  82 unt;   0 nHn; 112 RR)
% 117.14/117.25  %            Number of literals    :  152 (   0 equ;  49 neg)
% 117.14/117.25  %            Maximal clause size   :    3 (   1 avg)
% 117.14/117.25  %            Maximal term depth    :    1 (   1 avg)
% 117.14/117.25  %            Number of predicates  :    4 (   4 usr;   0 prp; 2-8 aty)
% 117.14/117.25  %            Number of functors    :    8 (   8 usr;   8 con; 0-0 aty)
% 117.14/117.25  %            Number of variables   :  220 (   2 sgn)
% 117.14/117.25  % SPC      : CNF_UNS_EPR_NEQ_HRN
% 117.14/117.25  
% 117.14/117.25  % Comments : Only instances 1-4 are within reach of current provers. (2007)
% 117.14/117.25  %          : Translated from [LF03] using [NV07b]
% 117.14/117.25  %------------------------------------------------------------------------------
% 117.14/117.25  cnf(load1,axiom,
% 117.14/117.25      ( ~ s(L,O2,O3,O4,D1,D2,L,T2)
% 117.14/117.25      | s(truck1,O2,O3,O4,D1,D2,L,T2) ) ).
% 117.14/117.25  
% 117.14/117.25  cnf(load2,axiom,
% 117.14/117.25      ( s(L,O2,O3,O4,D1,D2,L,T2)
% 117.14/117.25      | ~ s(truck1,O2,O3,O4,D1,D2,L,T2) ) ).
% 117.14/117.25  
% 117.14/117.25  cnf(load3,axiom,
% 117.14/117.25      ( ~ s(L,O2,O3,O4,D1,D2,T1,L)
% 117.14/117.25      | s(truck2,O2,O3,O4,D1,D2,T1,L) ) ).
% 117.14/117.25  
% 117.14/117.25  cnf(load4,axiom,
% 117.14/117.25      ( s(L,O2,O3,O4,D1,D2,T1,L)
% 117.14/117.25      | ~ s(truck2,O2,O3,O4,D1,D2,T1,L) ) ).
% 117.14/117.25  
% 117.14/117.25  cnf(load5,axiom,
% 117.14/117.25      ( ~ s(O1,L,O3,O4,D1,D2,L,T2)
% 117.14/117.25      | s(O1,truck1,O3,O4,D1,D2,L,T2) ) ).
% 117.14/117.25  
% 117.14/117.25  cnf(load6,axiom,
% 117.14/117.25      ( s(O1,L,O3,O4,D1,D2,L,T2)
% 117.14/117.25      | ~ s(O1,truck1,O3,O4,D1,D2,L,T2) ) ).
% 117.14/117.25  
% 117.14/117.25  cnf(load7,axiom,
% 117.14/117.25      ( ~ s(O1,L,O3,O4,D1,D2,T1,L)
% 117.14/117.25      | s(O1,truck2,O3,O4,D1,D2,T1,L) ) ).
% 117.14/117.25  
% 117.14/117.25  cnf(load8,axiom,
% 117.14/117.25      ( s(O1,L,O3,O4,D1,D2,T1,L)
% 117.14/117.25      | ~ s(O1,truck2,O3,O4,D1,D2,T1,L) ) ).
% 117.14/117.25  
% 117.14/117.25  cnf(load9,axiom,
% 117.14/117.25      ( ~ s(O1,O2,L,O4,D1,D2,L,T2)
% 117.14/117.25      | s(O1,O2,truck1,O4,D1,D2,L,T2) ) ).
% 117.14/117.25  
% 117.14/117.25  cnf(load10,axiom,
% 117.14/117.25      ( s(O1,O2,L,O4,D1,D2,L,T2)
% 117.14/117.25      | ~ s(O1,O2,truck1,O4,D1,D2,L,T2) ) ).
% 117.14/117.25  
% 117.14/117.25  cnf(load11,axiom,
% 117.14/117.25      ( ~ s(O1,O2,L,O4,D1,D2,T1,L)
% 117.14/117.25      | s(O1,O2,truck2,O4,D1,D2,T1,L) ) ).
% 117.14/117.25  
% 117.14/117.25  cnf(load12,axiom,
% 117.14/117.25      ( s(O1,O2,L,O4,D1,D2,T1,L)
% 117.14/117.25      | ~ s(O1,O2,truck2,O4,D1,D2,T1,L) ) ).
% 117.14/117.25  
% 117.14/117.25  cnf(load13,axiom,
% 117.14/117.25      ( ~ s(O1,O2,O3,L,D1,D2,L,T2)
% 117.14/117.25      | s(O1,O2,O3,truck1,D1,D2,L,T2) ) ).
% 117.14/117.25  
% 117.14/117.25  cnf(load14,axiom,
% 117.14/117.25      ( s(O1,O2,O3,L,D1,D2,L,T2)
% 117.14/117.25      | ~ s(O1,O2,O3,truck1,D1,D2,L,T2) ) ).
% 117.14/117.25  
% 117.14/117.25  cnf(load15,axiom,
% 117.14/117.25      ( ~ s(O1,O2,O3,L,D1,D2,T1,L)
% 117.14/117.25      | s(O1,O2,O3,truck2,D1,D2,T1,L) ) ).
% 117.14/117.25  
% 117.14/117.25  cnf(load16,axiom,
% 117.14/117.25      ( s(O1,O2,O3,L,D1,D2,T1,L)
% 117.14/117.25      | ~ s(O1,O2,O3,truck2,D1,D2,T1,L) ) ).
% 117.14/117.25  
% 117.14/117.25  cnf(board1,axiom,
% 117.14/117.25      ( ~ s(O1,O2,O3,O4,L,D2,L,T2)
% 117.14/117.25      | ~ neq(D2,truck1)
% 117.14/117.25      | s(O1,O2,O3,O4,truck1,D2,L,T2) ) ).
% 117.14/117.25  
% 117.14/117.25  cnf(board2,axiom,
% 117.14/117.25      ( s(O1,O2,O3,O4,L,D2,L,T2)
% 117.14/117.25      | ~ s(O1,O2,O3,O4,truck1,D2,L,T2) ) ).
% 117.14/117.25  
% 117.14/117.25  cnf(board3,axiom,
% 117.14/117.25      ( ~ s(O1,O2,O3,O4,L,D2,T1,L)
% 117.14/117.25      | ~ neq(D2,truck2)
% 117.14/117.25      | s(O1,O2,O3,O4,truck2,D2,T1,L) ) ).
% 117.14/117.25  
% 117.14/117.25  cnf(board4,axiom,
% 117.14/117.25      ( s(O1,O2,O3,O4,L,D2,T1,L)
% 117.14/117.25      | ~ s(O1,O2,O3,O4,truck2,D2,T1,L) ) ).
% 117.14/117.25  
% 117.14/117.25  cnf(board5,axiom,
% 117.14/117.25      ( ~ s(O1,O2,O3,O4,D1,L,L,T2)
% 117.14/117.25      | ~ neq(D1,truck1)
% 117.14/117.25      | s(O1,O2,O3,O4,D1,truck1,L,T2) ) ).
% 117.14/117.25  
% 117.14/117.25  cnf(board6,axiom,
% 117.14/117.25      ( s(O1,O2,O3,O4,D1,L,L,T2)
% 117.14/117.25      | ~ s(O1,O2,O3,O4,D1,truck1,L,T2) ) ).
% 117.14/117.25  
% 117.14/117.25  cnf(board7,axiom,
% 117.14/117.25      ( ~ s(O1,O2,O3,O4,D1,L,T1,L)
% 117.14/117.25      | ~ neq(D1,truck2)
% 117.14/117.25      | s(O1,O2,O3,O4,D1,truck2,T1,L) ) ).
% 117.14/117.25  
% 117.14/117.25  cnf(board8,axiom,
% 117.14/117.25      ( s(O1,O2,O3,O4,D1,L,T1,L)
% 117.14/117.25      | ~ s(O1,O2,O3,O4,D1,truck2,T1,L) ) ).
% 117.14/117.25  
% 117.14/117.25  cnf(drive1,axiom,
% 117.14/117.25      ( ~ s(O1,O2,O3,O4,truck1,D2,S,T2)
% 117.14/117.25      | ~ link(S,D)
% 117.14/117.25      | s(O1,O2,O3,O4,truck1,D2,D,T2) ) ).
% 117.14/117.25  
% 117.14/117.25  cnf(drive2,axiom,
% 117.14/117.25      ( ~ s(O1,O2,O3,O4,truck2,D2,T1,S)
% 117.14/117.25      | ~ link(S,D)
% 117.14/117.25      | s(O1,O2,O3,O4,truck2,D2,T1,D) ) ).
% 117.14/117.25  
% 117.14/117.25  cnf(drive3,axiom,
% 117.14/117.25      ( ~ s(O1,O2,O3,O4,D1,truck1,S,T2)
% 117.14/117.25      | ~ link(S,D)
% 117.14/117.25      | s(O1,O2,O3,O4,D1,truck1,D,T2) ) ).
% 117.14/117.25  
% 117.14/117.25  cnf(drive4,axiom,
% 117.14/117.25      ( ~ s(O1,O2,O3,O4,D1,truck2,T1,S)
% 117.14/117.25      | ~ link(S,D)
% 117.14/117.25      | s(O1,O2,O3,O4,D1,truck2,T1,D) ) ).
% 117.14/117.25  
% 117.14/117.25  cnf(walk1,axiom,
% 117.14/117.25      ( ~ s(O1,O2,O3,O4,S,D2,T1,T2)
% 117.14/117.25      | ~ path(S,D)
% 117.14/117.25      | s(O1,O2,O3,O4,D,D2,T1,T2) ) ).
% 117.14/117.25  
% 117.14/117.25  cnf(walk2,axiom,
% 117.14/117.25      ( ~ s(O1,O2,O3,O4,D1,S,T1,T2)
% 117.14/117.25      | ~ path(S,D)
% 117.14/117.25      | s(O1,O2,O3,O4,D1,D,T1,T2) ) ).
% 117.14/117.25  
% 117.14/117.25  cnf(neq1,axiom,
% 117.14/117.25      ~ neq(truck1,truck1) ).
% 117.14/117.25  
% 117.14/117.25  cnf(neq2,axiom,
% 117.14/117.25      neq(truck1,truck2) ).
% 117.14/117.25  
% 117.14/117.25  cnf(neq3,axiom,
% 117.14/117.25      neq(truck1,s0) ).
% 117.14/117.25  
% 117.14/117.25  cnf(neq4,axiom,
% 117.14/117.25      neq(truck1,s1) ).
% 117.14/117.25  
% 117.14/117.25  cnf(neq5,axiom,
% 117.14/117.25      neq(truck1,s2) ).
% 117.14/117.25  
% 117.14/117.25  cnf(neq6,axiom,
% 117.14/117.25      neq(truck1,p0_1) ).
% 117.14/117.25  
% 117.14/117.25  cnf(neq7,axiom,
% 117.14/117.25      neq(truck1,p1_2) ).
% 117.14/117.25  
% 117.14/117.25  cnf(neq8,axiom,
% 117.14/117.25      neq(truck1,p2_0) ).
% 117.14/117.25  
% 117.14/117.25  cnf(neq9,axiom,
% 117.14/117.25      neq(truck2,truck1) ).
% 117.14/117.25  
% 117.14/117.25  cnf(neq10,axiom,
% 117.14/117.25      ~ neq(truck2,truck2) ).
% 117.14/117.25  
% 117.14/117.25  cnf(neq11,axiom,
% 117.14/117.25      neq(truck2,s0) ).
% 117.14/117.25  
% 117.14/117.25  cnf(neq12,axiom,
% 117.14/117.25      neq(truck2,s1) ).
% 117.14/117.25  
% 117.14/117.25  cnf(neq13,axiom,
% 117.14/117.25      neq(truck2,s2) ).
% 117.14/117.25  
% 117.14/117.25  cnf(neq14,axiom,
% 117.14/117.25      neq(truck2,p0_1) ).
% 117.14/117.25  
% 117.14/117.25  cnf(neq15,axiom,
% 117.14/117.25      neq(truck2,p1_2) ).
% 117.14/117.25  
% 117.14/117.25  cnf(neq16,axiom,
% 117.14/117.25      neq(truck2,p2_0) ).
% 117.14/117.25  
% 117.14/117.25  cnf(neq17,axiom,
% 117.14/117.25      neq(s0,truck1) ).
% 117.14/117.25  
% 117.14/117.25  cnf(neq18,axiom,
% 117.14/117.25      neq(s0,truck2) ).
% 117.14/117.25  
% 117.14/117.25  cnf(neq19,axiom,
% 117.14/117.25      ~ neq(s0,s0) ).
% 117.14/117.25  
% 117.14/117.25  cnf(neq20,axiom,
% 117.14/117.25      neq(s0,s1) ).
% 117.14/117.25  
% 117.14/117.25  cnf(neq21,axiom,
% 117.14/117.25      neq(s0,s2) ).
% 117.14/117.25  
% 117.14/117.25  cnf(neq22,axiom,
% 117.14/117.25      neq(s0,p0_1) ).
% 117.14/117.25  
% 117.14/117.25  cnf(neq23,axiom,
% 117.14/117.25      neq(s0,p1_2) ).
% 117.14/117.25  
% 117.14/117.25  cnf(neq24,axiom,
% 117.14/117.25      neq(s0,p2_0) ).
% 117.14/117.25  
% 117.14/117.25  cnf(neq25,axiom,
% 117.14/117.25      neq(s1,truck1) ).
% 117.14/117.25  
% 117.14/117.25  cnf(neq26,axiom,
% 117.14/117.25      neq(s1,truck2) ).
% 117.14/117.25  
% 117.14/117.25  cnf(neq27,axiom,
% 117.14/117.25      neq(s1,s0) ).
% 117.14/117.25  
% 117.14/117.25  cnf(neq28,axiom,
% 117.14/117.25      ~ neq(s1,s1) ).
% 117.14/117.25  
% 117.14/117.25  cnf(neq29,axiom,
% 117.14/117.25      neq(s1,s2) ).
% 117.14/117.25  
% 117.14/117.25  cnf(neq30,axiom,
% 117.14/117.25      neq(s1,p0_1) ).
% 117.14/117.25  
% 117.14/117.25  cnf(neq31,axiom,
% 117.14/117.25      neq(s1,p1_2) ).
% 117.14/117.25  
% 117.14/117.25  cnf(neq32,axiom,
% 117.14/117.25      neq(s1,p2_0) ).
% 117.14/117.25  
% 117.14/117.25  cnf(neq33,axiom,
% 117.14/117.25      neq(s2,truck1) ).
% 117.14/117.25  
% 117.14/117.25  cnf(neq34,axiom,
% 117.14/117.25      neq(s2,truck2) ).
% 117.14/117.25  
% 117.14/117.25  cnf(neq35,axiom,
% 117.14/117.25      neq(s2,s0) ).
% 117.14/117.25  
% 117.14/117.25  cnf(neq36,axiom,
% 117.14/117.25      neq(s2,s1) ).
% 117.14/117.25  
% 117.14/117.25  cnf(neq37,axiom,
% 117.14/117.25      ~ neq(s2,s2) ).
% 117.14/117.25  
% 117.14/117.25  cnf(neq38,axiom,
% 117.14/117.25      neq(s2,p0_1) ).
% 117.14/117.25  
% 117.14/117.26  cnf(neq39,axiom,
% 117.14/117.26      neq(s2,p1_2) ).
% 117.14/117.26  
% 117.14/117.26  cnf(neq40,axiom,
% 117.14/117.26      neq(s2,p2_0) ).
% 117.14/117.26  
% 117.14/117.26  cnf(neq41,axiom,
% 117.14/117.26      neq(p0_1,truck1) ).
% 117.14/117.26  
% 117.14/117.26  cnf(neq42,axiom,
% 117.14/117.26      neq(p0_1,truck2) ).
% 117.14/117.26  
% 117.14/117.26  cnf(neq43,axiom,
% 117.14/117.26      neq(p0_1,s0) ).
% 117.14/117.26  
% 117.14/117.26  cnf(neq44,axiom,
% 117.14/117.26      neq(p0_1,s1) ).
% 117.14/117.26  
% 117.14/117.26  cnf(neq45,axiom,
% 117.14/117.26      neq(p0_1,s2) ).
% 117.14/117.26  
% 117.14/117.26  cnf(neq46,axiom,
% 117.14/117.26      ~ neq(p0_1,p0_1) ).
% 117.14/117.26  
% 117.14/117.26  cnf(neq47,axiom,
% 117.14/117.26      neq(p0_1,p1_2) ).
% 117.14/117.26  
% 117.14/117.26  cnf(neq48,axiom,
% 117.14/117.26      neq(p0_1,p2_0) ).
% 117.14/117.26  
% 117.14/117.26  cnf(neq49,axiom,
% 117.14/117.26      neq(p1_2,truck1) ).
% 117.14/117.26  
% 117.14/117.26  cnf(neq50,axiom,
% 117.14/117.26      neq(p1_2,truck2) ).
% 117.14/117.26  
% 117.14/117.26  cnf(neq51,axiom,
% 117.14/117.26      neq(p1_2,s0) ).
% 117.14/117.26  
% 117.14/117.26  cnf(neq52,axiom,
% 117.14/117.26      neq(p1_2,s1) ).
% 117.14/117.26  
% 117.14/117.26  cnf(neq53,axiom,
% 117.14/117.26      neq(p1_2,s2) ).
% 117.14/117.26  
% 117.14/117.26  cnf(neq54,axiom,
% 117.14/117.26      neq(p1_2,p0_1) ).
% 117.14/117.26  
% 117.14/117.26  cnf(neq55,axiom,
% 117.14/117.26      ~ neq(p1_2,p1_2) ).
% 117.14/117.26  
% 117.14/117.26  cnf(neq56,axiom,
% 117.14/117.26      neq(p1_2,p2_0) ).
% 117.14/117.26  
% 117.14/117.26  cnf(neq57,axiom,
% 117.14/117.26      neq(p2_0,truck1) ).
% 117.14/117.26  
% 117.14/117.26  cnf(neq58,axiom,
% 117.14/117.26      neq(p2_0,truck2) ).
% 117.14/117.26  
% 117.14/117.26  cnf(neq59,axiom,
% 117.14/117.26      neq(p2_0,s0) ).
% 117.14/117.26  
% 117.14/117.26  cnf(neq60,axiom,
% 117.14/117.26      neq(p2_0,s1) ).
% 117.14/117.26  
% 117.14/117.26  cnf(neq61,axiom,
% 117.14/117.26      neq(p2_0,s2) ).
% 117.14/117.26  
% 117.14/117.26  cnf(neq62,axiom,
% 117.14/117.26      neq(p2_0,p0_1) ).
% 117.14/117.26  
% 117.14/117.26  cnf(neq63,axiom,
% 117.14/117.26      neq(p2_0,p1_2) ).
% 117.14/117.26  
% 117.14/117.26  cnf(neq64,axiom,
% 117.14/117.26      ~ neq(p2_0,p2_0) ).
% 117.14/117.26  
% 117.14/117.26  cnf(map1,axiom,
% 117.14/117.26      path(s0,p0_1) ).
% 117.14/117.26  
% 117.14/117.26  cnf(map2,axiom,
% 117.14/117.26      path(p0_1,s0) ).
% 117.14/117.26  
% 117.14/117.26  cnf(map3,axiom,
% 117.14/117.26      path(s1,p0_1) ).
% 117.14/117.26  
% 117.14/117.26  cnf(map4,axiom,
% 117.14/117.26      path(p0_1,s1) ).
% 117.14/117.26  
% 117.14/117.26  cnf(map5,axiom,
% 117.14/117.26      path(s1,p1_2) ).
% 117.14/117.26  
% 117.14/117.26  cnf(map6,axiom,
% 117.14/117.26      path(p1_2,s1) ).
% 117.14/117.26  
% 117.14/117.26  cnf(map7,axiom,
% 117.14/117.26      path(s2,p1_2) ).
% 117.14/117.26  
% 117.14/117.26  cnf(map8,axiom,
% 117.14/117.26      path(p1_2,s2) ).
% 117.14/117.26  
% 117.14/117.26  cnf(map9,axiom,
% 117.14/117.26      path(s2,p2_0) ).
% 117.14/117.26  
% 117.14/117.26  cnf(map10,axiom,
% 117.14/117.26      path(p2_0,s2) ).
% 117.14/117.26  
% 117.14/117.26  cnf(map11,axiom,
% 117.14/117.26      path(s0,p2_0) ).
% 117.14/117.26  
% 117.14/117.26  cnf(map12,axiom,
% 117.14/117.26      path(p2_0,s0) ).
% 117.14/117.26  
% 117.14/117.26  cnf(map13,axiom,
% 117.14/117.26      link(s1,s2) ).
% 117.14/117.26  
% 117.14/117.26  cnf(map14,axiom,
% 117.14/117.26      link(s2,s1) ).
% 117.14/117.26  
% 117.14/117.26  cnf(map15,axiom,
% 117.14/117.26      link(s2,s0) ).
% 117.14/117.26  
% 117.14/117.26  cnf(map16,axiom,
% 117.14/117.26      link(s0,s2) ).
% 117.14/117.26  
% 117.14/117.26  cnf(init,axiom,
% 117.14/117.26      s(s1,s2,s2,s0,s2,s0,s1,s1) ).
% 117.14/117.26  
% 117.14/117.26  cnf(goal,negated_conjecture,
% 117.14/117.26      ~ s(s2,s2,s0,s2,s1,X6,s0,X8) ).
% 117.14/117.26  
% 117.14/117.26  %------------------------------------------------------------------------------
% 117.14/117.26  %-------------------------------------------
% 117.14/117.26  % Proof found
% 117.14/117.26  % SZS status Theorem for theBenchmark
% 117.14/117.26  % SZS output start Proof
% 117.14/117.26  %ClaNum:112(EqnAxiom:0)
% 117.14/117.26  %VarNum:466(SingletonVarNum:220)
% 117.14/117.26  %MaxLitNum:3
% 117.14/117.26  %MaxfuncDepth:0
% 117.14/117.26  %SharedTerms:89
% 117.14/117.26  %goalClause: 82
% 117.14/117.26  %singleGoalClaCount:1
% 117.14/117.26  [1]P1(a1,a8)
% 117.14/117.26  [2]P1(a1,a2)
% 117.14/117.26  [3]P1(a1,a6)
% 117.14/117.26  [4]P1(a1,a7)
% 117.14/117.26  [5]P1(a1,a3)
% 117.14/117.26  [6]P1(a1,a4)
% 117.14/117.26  [7]P1(a1,a5)
% 117.14/117.26  [8]P1(a8,a1)
% 117.14/117.26  [9]P1(a8,a2)
% 117.14/117.26  [10]P1(a8,a6)
% 117.14/117.26  [11]P1(a8,a7)
% 117.14/117.26  [12]P1(a8,a3)
% 117.14/117.26  [13]P1(a8,a4)
% 117.14/117.26  [14]P1(a8,a5)
% 117.14/117.26  [15]P1(a2,a1)
% 117.14/117.26  [16]P1(a2,a8)
% 117.14/117.26  [17]P1(a2,a6)
% 117.14/117.26  [18]P1(a2,a7)
% 117.14/117.26  [19]P1(a2,a3)
% 117.14/117.26  [20]P1(a2,a4)
% 117.14/117.26  [21]P1(a2,a5)
% 117.14/117.26  [22]P1(a6,a1)
% 117.14/117.26  [23]P1(a6,a8)
% 117.14/117.26  [24]P1(a6,a2)
% 117.14/117.26  [25]P1(a6,a7)
% 117.14/117.26  [26]P1(a6,a3)
% 117.14/117.26  [27]P1(a6,a4)
% 117.14/117.26  [28]P1(a6,a5)
% 117.14/117.26  [29]P1(a7,a1)
% 117.14/117.26  [30]P1(a7,a8)
% 117.14/117.26  [31]P1(a7,a2)
% 117.14/117.26  [32]P1(a7,a6)
% 117.14/117.26  [33]P1(a7,a3)
% 117.14/117.26  [34]P1(a7,a4)
% 117.14/117.26  [35]P1(a7,a5)
% 117.14/117.26  [36]P1(a3,a1)
% 117.14/117.26  [37]P1(a3,a8)
% 117.14/117.26  [38]P1(a3,a2)
% 117.14/117.26  [39]P1(a3,a6)
% 117.14/117.26  [40]P1(a3,a7)
% 117.14/117.26  [41]P1(a3,a4)
% 117.14/117.26  [42]P1(a3,a5)
% 117.14/117.26  [43]P1(a4,a1)
% 117.14/117.26  [44]P1(a4,a8)
% 117.14/117.26  [45]P1(a4,a2)
% 117.14/117.26  [46]P1(a4,a6)
% 117.14/117.26  [47]P1(a4,a7)
% 117.14/117.26  [48]P1(a4,a3)
% 117.14/117.26  [49]P1(a4,a5)
% 117.14/117.26  [50]P1(a5,a1)
% 117.14/117.26  [51]P1(a5,a8)
% 117.14/117.26  [52]P1(a5,a2)
% 117.14/117.26  [53]P1(a5,a6)
% 117.14/117.26  [54]P1(a5,a7)
% 117.14/117.26  [55]P1(a5,a3)
% 117.14/117.26  [56]P1(a5,a4)
% 117.14/117.26  [57]P2(a2,a7)
% 117.14/117.26  [58]P2(a6,a7)
% 117.14/117.26  [59]P2(a7,a2)
% 117.14/117.26  [60]P2(a7,a6)
% 117.14/117.26  [61]P3(a2,a3)
% 117.14/117.26  [62]P3(a2,a5)
% 117.14/117.26  [63]P3(a6,a3)
% 117.14/117.26  [64]P3(a6,a4)
% 117.14/117.26  [65]P3(a7,a4)
% 117.14/117.26  [66]P3(a7,a5)
% 117.14/117.26  [67]P3(a3,a2)
% 117.14/117.26  [68]P3(a3,a6)
% 117.14/117.26  [69]P3(a4,a6)
% 117.14/117.26  [70]P3(a4,a7)
% 117.14/117.26  [71]P3(a5,a2)
% 117.14/117.26  [72]P3(a5,a7)
% 117.14/117.26  [73]P4(a6,a7,a7,a2,a7,a2,a6,a6)
% 117.14/117.26  [74]~P1(a1,a1)
% 117.14/117.26  [75]~P1(a8,a8)
% 117.14/117.26  [76]~P1(a2,a2)
% 117.14/117.26  [77]~P1(a6,a6)
% 117.14/117.26  [78]~P1(a7,a7)
% 117.14/117.26  [79]~P1(a3,a3)
% 117.14/117.26  [80]~P1(a4,a4)
% 117.14/117.26  [81]~P1(a5,a5)
% 117.14/117.26  [82]~P4(a7,a7,a2,a7,a6,x821,a2,x822)
% 117.14/117.26  [83]P4(x831,x832,x833,x834,x835,x836,x837,x836)+~P4(x831,x832,x833,x834,x835,a8,x837,x836)
% 117.14/117.26  [84]P4(x841,x842,x843,x844,x845,x846,x846,x847)+~P4(x841,x842,x843,x844,x845,a1,x846,x847)
% 117.14/117.26  [85]P4(x851,x852,x853,x854,x855,x856,x857,x855)+~P4(x851,x852,x853,x854,a8,x856,x857,x855)
% 117.14/117.26  [86]P4(x861,x862,x863,x864,x865,x866,x865,x867)+~P4(x861,x862,x863,x864,a1,x866,x865,x867)
% 117.14/117.26  [87]P4(x871,x872,x873,x874,x875,x876,x877,x874)+~P4(x871,x872,x873,a8,x875,x876,x877,x874)
% 117.14/117.26  [88]P4(x881,x882,x883,x884,x885,x886,x884,x887)+~P4(x881,x882,x883,a1,x885,x886,x884,x887)
% 117.14/117.26  [89]P4(x891,x892,x893,x894,x895,x896,x897,x893)+~P4(x891,x892,a8,x894,x895,x896,x897,x893)
% 117.14/117.26  [90]P4(x901,x902,x903,x904,x905,x906,x903,x907)+~P4(x901,x902,a1,x904,x905,x906,x903,x907)
% 117.14/117.26  [91]P4(x911,x912,x913,x914,x915,x916,x917,x912)+~P4(x911,a8,x913,x914,x915,x916,x917,x912)
% 117.14/117.26  [92]P4(x921,x922,x923,x924,x925,x926,x922,x927)+~P4(x921,a1,x923,x924,x925,x926,x922,x927)
% 117.14/117.26  [93]P4(x931,x932,x933,x934,x935,x936,x937,x931)+~P4(a8,x932,x933,x934,x935,x936,x937,x931)
% 117.14/117.26  [94]P4(x941,x942,x943,x944,x945,x946,x941,x947)+~P4(a1,x942,x943,x944,x945,x946,x941,x947)
% 117.14/117.26  [95]~P4(x951,x952,x953,x956,x954,x955,x956,x957)+P4(x951,x952,x953,a1,x954,x955,x956,x957)
% 117.14/117.26  [96]~P4(x961,x962,x963,x967,x964,x965,x966,x967)+P4(x961,x962,x963,a8,x964,x965,x966,x967)
% 117.14/117.26  [97]~P4(x971,x972,x976,x973,x974,x975,x976,x977)+P4(x971,x972,a1,x973,x974,x975,x976,x977)
% 117.14/117.26  [98]~P4(x981,x982,x987,x983,x984,x985,x986,x987)+P4(x981,x982,a8,x983,x984,x985,x986,x987)
% 117.14/117.26  [99]~P4(x991,x996,x992,x993,x994,x995,x996,x997)+P4(x991,a1,x992,x993,x994,x995,x996,x997)
% 117.14/117.26  [100]~P4(x1001,x1007,x1002,x1003,x1004,x1005,x1006,x1007)+P4(x1001,a8,x1002,x1003,x1004,x1005,x1006,x1007)
% 117.14/117.26  [101]~P4(x1016,x1011,x1012,x1013,x1014,x1015,x1016,x1017)+P4(a1,x1011,x1012,x1013,x1014,x1015,x1016,x1017)
% 117.14/117.26  [102]~P4(x1027,x1021,x1022,x1023,x1024,x1025,x1026,x1027)+P4(a8,x1021,x1022,x1023,x1024,x1025,x1026,x1027)
% 117.14/117.26  [105]~P4(x1051,x1052,x1053,x1054,x1055,x1056,x1056,x1057)+P4(x1051,x1052,x1053,x1054,x1055,a1,x1056,x1057)+~P1(x1055,a1)
% 117.14/117.26  [106]~P4(x1061,x1062,x1063,x1064,x1065,x1067,x1066,x1067)+P4(x1061,x1062,x1063,x1064,x1065,a8,x1066,x1067)+~P1(x1065,a8)
% 117.14/117.26  [109]~P4(x1091,x1092,x1093,x1094,x1096,x1095,x1096,x1097)+P4(x1091,x1092,x1093,x1094,a1,x1095,x1096,x1097)+~P1(x1095,a1)
% 117.14/117.26  [110]~P4(x1101,x1102,x1103,x1104,x1107,x1105,x1106,x1107)+P4(x1101,x1102,x1103,x1104,a8,x1105,x1106,x1107)+~P1(x1105,a8)
% 117.14/117.26  [103]~P2(x1038,x1036)+~P4(x1031,x1032,x1033,x1034,x1035,a1,x1038,x1037)+P4(x1031,x1032,x1033,x1034,x1035,a1,x1036,x1037)
% 117.14/117.26  [104]~P2(x1048,x1047)+~P4(x1041,x1042,x1043,x1044,x1045,a8,x1046,x1048)+P4(x1041,x1042,x1043,x1044,x1045,a8,x1046,x1047)
% 117.14/117.26  [107]~P2(x1078,x1076)+~P4(x1071,x1072,x1073,x1074,a1,x1075,x1078,x1077)+P4(x1071,x1072,x1073,x1074,a1,x1075,x1076,x1077)
% 117.14/117.26  [108]~P2(x1088,x1087)+~P4(x1081,x1082,x1083,x1084,a8,x1085,x1086,x1088)+P4(x1081,x1082,x1083,x1084,a8,x1085,x1086,x1087)
% 117.14/117.26  [111]~P4(x1111,x1112,x1113,x1114,x1119,x1116,x1117,x1118)+P4(x1111,x1112,x1113,x1114,x1115,x1116,x1117,x1118)+~P3(x1119,x1115)
% 117.14/117.26  [112]~P4(x1121,x1122,x1123,x1124,x1125,x1129,x1127,x1128)+P4(x1121,x1122,x1123,x1124,x1125,x1126,x1127,x1128)+~P3(x1129,x1126)
% 117.14/117.26  %EqnAxiom
% 117.14/117.26  
% 117.14/117.26  %-------------------------------------------
% 117.27/117.29  cnf(113,plain,
% 117.27/117.29     (~P4(a7,a7,a2,a7,a6,a1,a7,x1131)),
% 117.27/117.29     inference(scs_inference,[],[82,59,103])).
% 117.27/117.29  cnf(116,plain,
% 117.27/117.29     (P4(a6,a7,a7,a2,a4,a2,a6,a6)),
% 117.27/117.29     inference(scs_inference,[],[82,59,65,73,103,111])).
% 117.27/117.29  cnf(118,plain,
% 117.27/117.29     (P4(a6,a7,a7,a2,a7,a3,a6,a6)),
% 117.27/117.29     inference(scs_inference,[],[82,59,61,65,73,103,111,112])).
% 117.27/117.29  cnf(126,plain,
% 117.27/117.29     (P4(a6,a7,a7,a2,a5,a3,a6,a6)),
% 117.27/117.29     inference(scs_inference,[],[66,118,111])).
% 117.27/117.29  cnf(128,plain,
% 117.27/117.29     (P4(a6,a7,a7,a2,a4,a5,a6,a6)),
% 117.27/117.29     inference(scs_inference,[],[116,62,66,118,111,112])).
% 117.27/117.29  cnf(145,plain,
% 117.27/117.29     (~P4(a7,a7,a2,a7,a6,a1,a6,x1451)),
% 117.27/117.29     inference(scs_inference,[],[113,58,103])).
% 117.27/117.29  cnf(147,plain,
% 117.27/117.29     (~P4(a7,a7,a2,a7,a3,x1471,a2,x1472)),
% 117.27/117.29     inference(scs_inference,[],[82,113,58,68,103,111])).
% 117.27/117.29  cnf(149,plain,
% 117.27/117.29     (P4(a6,a7,a7,a2,a5,a2,a6,a6)),
% 117.27/117.29     inference(scs_inference,[],[82,113,126,58,67,68,103,111,112])).
% 117.27/117.29  cnf(151,plain,
% 117.27/117.29     (~P4(x1511,x1512,x1513,x1514,a7,x1515,x1515,x1516)+P4(x1511,x1512,x1513,x1514,a7,a1,x1515,x1516)),
% 117.27/117.29     inference(scs_inference,[],[82,113,126,29,58,67,68,103,111,112,105])).
% 117.27/117.29  cnf(153,plain,
% 117.27/117.29     (~P4(x1531,x1532,x1533,x1534,a7,x1535,x1535,a7)+P4(x1531,x1532,x1533,x1534,a8,a1,x1535,a7)),
% 117.27/117.29     inference(scs_inference,[],[82,113,126,1,29,58,67,68,103,111,112,105,110])).
% 117.27/117.29  cnf(155,plain,
% 117.27/117.29     (P4(x1551,x1552,x1553,a7,a7,a1,x1554,a7)+~P4(x1551,x1552,x1553,a8,a7,x1554,x1554,a7)),
% 117.27/117.29     inference(scs_inference,[],[82,113,126,1,29,58,67,68,103,111,112,105,110,87])).
% 117.27/117.29  cnf(165,plain,
% 117.27/117.29     (~P4(a8,a8,a8,a8,a7,x1651,x1651,a7)+~P4(x1652,x1653,x1654,x1655,x1656,a6,x1656,a6)+P4(x1652,x1653,x1654,x1655,a1,a8,x1656,a6)),
% 117.27/117.29     inference(scs_inference,[],[82,113,126,22,1,29,58,67,68,103,111,112,105,110,87,89,91,93,84,109,106])).
% 117.27/117.29  cnf(166,plain,
% 117.27/117.29     (~P4(a7,a7,a2,a7,a3,a1,a7,x1661)),
% 117.27/117.29     inference(scs_inference,[],[147,59,103])).
% 117.27/117.29  cnf(169,plain,
% 117.27/117.29     (P4(a6,a7,a7,a2,a6,a2,a6,a6)),
% 117.27/117.29     inference(scs_inference,[],[147,116,69,59,103,111])).
% 117.27/117.29  cnf(171,plain,
% 117.27/117.29     (P4(a6,a7,a7,a2,a4,a7,a6,a6)),
% 117.27/117.29     inference(scs_inference,[],[147,116,69,72,128,59,103,111,112])).
% 117.27/117.29  cnf(198,plain,
% 117.27/117.29     (~P4(a7,a7,a2,a7,a3,a7,a7,x1981)),
% 117.27/117.29     inference(scs_inference,[],[166,169,36,16,15,109,110,105])).
% 117.27/117.29  cnf(200,plain,
% 117.27/117.29     (P4(a6,a7,a7,a2,a3,a2,a6,a6)),
% 117.27/117.29     inference(scs_inference,[],[166,169,36,16,63,15,109,110,105,111])).
% 117.27/117.29  cnf(202,plain,
% 117.27/117.29     (P4(a6,a7,a7,a2,a6,a3,a6,a6)),
% 117.27/117.29     inference(scs_inference,[],[166,169,36,16,63,15,61,109,110,105,111,112])).
% 117.27/117.29  cnf(204,plain,
% 117.27/117.29     (~P4(x2041,x2042,x2043,x2044,a1,x2045,x2046,x2045)+P4(x2041,x2042,x2043,x2044,a1,a8,x2046,x2045)),
% 117.27/117.29     inference(scs_inference,[],[166,169,36,1,16,63,15,61,109,110,105,111,112,106])).
% 117.27/117.29  cnf(208,plain,
% 117.27/117.29     (P4(x2081,x2082,x2083,x2084,a1,a8,x2083,x2085)+~P4(x2081,x2082,a1,x2084,a1,x2085,x2083,x2085)),
% 117.27/117.29     inference(scs_inference,[],[166,169,36,1,16,63,15,61,109,110,105,111,112,106,83,90])).
% 117.27/117.29  cnf(233,plain,
% 117.27/117.29     (P4(a6,a7,a7,a2,a2,a3,a6,a6)),
% 117.27/117.29     inference(scs_inference,[],[126,37,36,71,202,109,110,111])).
% 117.27/117.29  cnf(237,plain,
% 117.27/117.29     (~P4(x2371,x2372,x2373,x2374,a7,x2375,x2376,x2375)+P4(x2371,x2372,x2373,x2374,a7,a8,x2376,x2375)),
% 117.27/117.29     inference(scs_inference,[],[200,126,37,36,30,71,202,62,109,110,111,112,106])).
% 117.27/117.29  cnf(260,plain,
% 117.27/117.29     (P4(a6,a7,a7,a2,a4,a4,a6,a6)),
% 117.27/117.29     inference(scs_inference,[],[171,65,112])).
% 117.27/117.29  cnf(264,plain,
% 117.27/117.29     (~P4(x2641,x2642,x2643,x2644,a4,x2645,x2646,x2645)+P4(x2641,x2642,x2643,x2644,a4,a8,x2646,x2645)),
% 117.27/117.29     inference(scs_inference,[],[44,171,65,118,112,111,106])).
% 117.27/117.29  cnf(285,plain,
% 117.27/117.29     (P4(a6,a7,a7,a2,a2,a2,a6,a6)),
% 117.27/117.29     inference(scs_inference,[],[200,67,111])).
% 117.27/117.29  cnf(287,plain,
% 117.27/117.29     (P4(a6,a7,a7,a2,a2,a6,a6,a6)),
% 117.27/117.29     inference(scs_inference,[],[233,200,67,68,111,112])).
% 117.27/117.29  cnf(289,plain,
% 117.27/117.29     (~P4(x2891,x2892,x2893,x2894,x2895,a1,x2896,x2895)+P4(x2891,x2892,x2893,x2894,a8,a1,x2896,x2895)),
% 117.27/117.29     inference(scs_inference,[],[233,200,1,67,68,111,112,110])).
% 117.27/117.29  cnf(291,plain,
% 117.27/117.29     (P4(a6,a7,a7,a2,a2,a8,a6,a6)),
% 117.27/117.29     inference(scs_inference,[],[233,200,1,16,67,68,111,112,110,106])).
% 117.27/117.29  cnf(310,plain,
% 117.27/117.29     (P4(a6,a7,a7,a2,a2,a1,a6,a6)),
% 117.27/117.29     inference(scs_inference,[],[15,287,105])).
% 117.27/117.29  cnf(312,plain,
% 117.27/117.29     (P4(a6,a7,a7,a2,a2,a4,a6,a6)),
% 117.27/117.29     inference(scs_inference,[],[15,287,64,105,112])).
% 117.27/117.29  cnf(314,plain,
% 117.27/117.29     (~P4(x3141,x3142,x3143,x3144,x3145,a5,x3146,x3145)+P4(x3141,x3142,x3143,x3144,a8,a5,x3146,x3145)),
% 117.27/117.29     inference(scs_inference,[],[15,287,51,64,105,112,110])).
% 117.27/117.29  cnf(335,plain,
% 117.27/117.29     (P4(a6,a7,a7,a2,a3,a6,a6,a6)),
% 117.27/117.29     inference(scs_inference,[],[291,69,61,260,111,112,83])).
% 117.27/117.29  cnf(337,plain,
% 117.27/117.29     (P4(a6,a7,a7,a2,a4,a8,a6,a6)),
% 117.27/117.29     inference(scs_inference,[],[291,69,61,260,44,111,112,83,106])).
% 117.27/117.29  cnf(339,plain,
% 117.27/117.29     (~P4(x3391,x3392,x3393,x3394,x3395,a6,x3395,x3396)+P4(x3391,x3392,x3393,x3394,a1,a6,x3395,x3396)),
% 117.27/117.29     inference(scs_inference,[],[291,22,69,61,260,44,111,112,83,106,109])).
% 117.27/117.29  cnf(378,plain,
% 117.27/117.29     (P4(a6,a7,a7,a2,a5,a1,a6,a6)),
% 117.27/117.29     inference(scs_inference,[],[310,62,111])).
% 117.27/117.29  cnf(380,plain,
% 117.27/117.29     (P4(a6,a7,a7,a2,a2,a7,a6,a6)),
% 117.27/117.29     inference(scs_inference,[],[310,70,62,312,111,112])).
% 117.27/117.29  cnf(386,plain,
% 117.27/117.29     (~P4(x3861,x3862,x3863,x3864,x3865,a7,x3865,x3866)+P4(x3861,x3862,x3863,x3864,a1,a7,x3865,x3866)),
% 117.27/117.29     inference(scs_inference,[],[310,70,62,312,51,29,111,112,84,106,109])).
% 117.27/117.29  cnf(388,plain,
% 117.27/117.29     (~P4(x3881,x3882,x3883,x3884,x3885,a7,x3885,a1)+P4(x3881,x3882,x3883,x3884,a8,a7,x3885,a1)),
% 117.27/117.29     inference(scs_inference,[],[310,70,62,30,312,51,29,111,112,84,106,109,110])).
% 117.27/117.29  cnf(392,plain,
% 117.27/117.29     (P4(a1,x3921,x3922,x3923,a1,a7,a7,a1)+~P4(a8,x3921,x3922,x3923,a7,a7,a7,a1)),
% 117.27/117.29     inference(scs_inference,[],[310,70,62,30,312,51,29,8,111,112,84,106,109,110,105,93])).
% 117.27/117.29  cnf(415,plain,
% 117.27/117.29     (P4(a6,a7,a7,a2,a7,a6,a6,a6)),
% 117.27/117.29     inference(scs_inference,[],[335,337,63,70,111,112,83])).
% 117.27/117.29  cnf(417,plain,
% 117.27/117.29     (~P4(x4171,x4172,x4173,x4174,x4175,a5,x4175,x4176)+P4(x4171,x4172,x4173,x4174,a1,a5,x4175,x4176)),
% 117.27/117.29     inference(scs_inference,[],[335,337,63,70,50,111,112,83,109])).
% 117.27/117.29  cnf(460,plain,
% 117.27/117.29     (P4(a6,a7,a7,a2,a7,a4,a6,a6)),
% 117.27/117.29     inference(scs_inference,[],[415,378,64,72,111,112])).
% 117.27/117.29  cnf(462,plain,
% 117.27/117.29     (~P4(x4621,x4622,x4623,x4624,x4625,a4,x4625,x4626)+P4(x4621,x4622,x4623,x4624,a1,a4,x4625,x4626)),
% 117.27/117.29     inference(scs_inference,[],[415,378,64,72,43,111,112,109])).
% 117.27/117.29  cnf(490,plain,
% 117.27/117.29     (P4(a6,a7,a7,a2,a6,a6,a6,a6)),
% 117.27/117.29     inference(scs_inference,[],[335,68,111])).
% 117.27/117.29  cnf(492,plain,
% 117.27/117.29     (P4(a6,a7,a7,a2,a2,a5,a6,a6)),
% 117.27/117.29     inference(scs_inference,[],[335,66,68,380,111,112])).
% 117.27/117.29  cnf(502,plain,
% 117.27/117.29     (P4(a6,a7,a7,a2,a1,a8,a6,a6)),
% 117.27/117.29     inference(scs_inference,[],[335,23,22,1,66,68,380,8,111,112,109,110,105,85,106])).
% 117.27/117.29  cnf(508,plain,
% 117.27/117.29     (P4(a6,a7,a7,a2,a7,a7,a6,a6)),
% 117.27/117.29     inference(scs_inference,[],[310,502,70,61,460,86,111,112])).
% 117.27/117.29  cnf(510,plain,
% 117.27/117.29     (~P4(x5101,x5102,x5103,x5104,x5105,a7,x5106,x5105)+P4(x5101,x5102,x5103,x5104,a8,a7,x5106,x5105)),
% 117.27/117.29     inference(scs_inference,[],[310,502,30,70,61,460,86,111,112,110])).
% 117.27/117.29  cnf(528,plain,
% 117.27/117.29     (~P4(a7,a7,a2,a7,a3,a1,a6,x5281)),
% 117.27/117.29     inference(scs_inference,[],[166,58,103])).
% 117.27/117.29  cnf(530,plain,
% 117.27/117.29     (P4(a6,a7,a7,a2,a7,a5,a6,a6)),
% 117.27/117.29     inference(scs_inference,[],[166,66,508,58,103,112])).
% 117.27/117.29  cnf(532,plain,
% 117.27/117.29     (~P4(x5321,x5322,x5323,x5324,x5325,a4,x5326,x5325)+P4(x5321,x5322,x5323,x5324,a8,a4,x5326,x5325)),
% 117.27/117.29     inference(scs_inference,[],[166,66,44,508,58,103,112,110])).
% 117.27/117.29  cnf(575,plain,
% 117.27/117.29     (~P4(x5751,x5752,x5753,x5754,a7,a8,a7,a7)+P4(x5751,x5752,x5753,x5754,a8,a1,a7,a7)),
% 117.27/117.29     inference(scs_inference,[],[153,83])).
% 117.27/117.29  cnf(576,plain,
% 117.27/117.29     (~P4(x5761,x5762,x5763,a8,a1,a7,a7,a7)+P4(x5761,x5762,x5763,a7,a7,a1,a7,a7)),
% 117.27/117.29     inference(scs_inference,[],[155,86])).
% 117.27/117.29  cnf(609,plain,
% 117.27/117.29     (~P4(a7,a7,a2,a7,a6,a7,a7,x6091)),
% 117.27/117.29     inference(scs_inference,[],[113,22,105])).
% 117.27/117.29  cnf(616,plain,
% 117.27/117.29     (P4(a6,a7,a7,a2,a6,a5,a6,a6)),
% 117.27/117.29     inference(scs_inference,[],[128,69,111])).
% 117.27/117.29  cnf(624,plain,
% 117.27/117.29     (~P4(a7,a7,a2,a7,a6,a6,a6,x6241)),
% 117.27/117.29     inference(scs_inference,[],[145,22,105])).
% 117.27/117.29  cnf(626,plain,
% 117.27/117.29     (P4(a6,a7,a7,a2,a6,a7,a6,a6)),
% 117.27/117.29     inference(scs_inference,[],[145,616,22,72,105,112])).
% 117.27/117.29  cnf(644,plain,
% 117.27/117.29     (P4(a6,a7,a7,a2,a5,a5,a6,a6)),
% 117.27/117.29     inference(scs_inference,[],[149,62,112])).
% 117.27/117.29  cnf(651,plain,
% 117.27/117.29     (P4(a1,a7,a7,a2,a8,a5,a6,a6)),
% 117.27/117.29     inference(scs_inference,[],[616,314,101])).
% 117.27/117.29  cnf(652,plain,
% 117.27/117.29     (P4(a1,a7,a7,a2,a6,a5,a6,a6)),
% 117.27/117.29     inference(scs_inference,[],[651,85])).
% 117.27/117.29  cnf(657,plain,
% 117.27/117.29     (P4(a1,a7,a7,a2,a6,a7,a6,a6)),
% 117.27/117.29     inference(scs_inference,[],[652,50,72,109,112])).
% 117.27/117.29  cnf(669,plain,
% 117.27/117.29     (P4(a6,a7,a7,a2,a1,a6,a7,a6)),
% 117.27/117.29     inference(scs_inference,[],[490,58,339,107])).
% 117.27/117.29  cnf(670,plain,
% 117.27/117.29     (P4(a6,a7,a7,a2,a7,a6,a7,a6)),
% 117.27/117.29     inference(scs_inference,[],[669,86])).
% 117.27/117.29  cnf(682,plain,
% 117.27/117.29     (P4(a6,a7,a7,a2,a5,a4,a6,a6)),
% 117.27/117.29     inference(scs_inference,[],[312,62,111])).
% 117.27/117.29  cnf(686,plain,
% 117.27/117.29     (P4(a6,a7,a7,a2,a5,a7,a6,a6)),
% 117.27/117.29     inference(scs_inference,[],[682,70,112])).
% 117.27/117.29  cnf(692,plain,
% 117.27/117.29     (P4(a8,a7,a7,a2,a1,a7,a6,a6)),
% 117.27/117.29     inference(scs_inference,[],[626,386,102])).
% 117.27/117.29  cnf(693,plain,
% 117.27/117.29     (P4(a8,a7,a7,a2,a6,a7,a6,a6)),
% 117.27/117.29     inference(scs_inference,[],[692,86])).
% 117.27/117.29  cnf(695,plain,
% 117.27/117.29     (~P4(x6951,x6952,x6953,a1,x6954,a7,x6954,a1)+P4(x6951,x6952,x6953,x6954,a8,a7,x6954,a1)),
% 117.27/117.29     inference(scs_inference,[],[388,88])).
% 117.27/117.29  cnf(717,plain,
% 117.27/117.29     (~P4(a7,a7,a2,a7,a3,a6,a6,x7171)),
% 117.27/117.29     inference(scs_inference,[],[528,36,105])).
% 117.27/117.29  cnf(766,plain,
% 117.27/117.29     (P4(a8,a7,a7,a2,a8,a7,a6,a7)),
% 117.27/117.29     inference(scs_inference,[],[693,58,510,108])).
% 117.27/117.29  cnf(767,plain,
% 117.27/117.29     (P4(a7,a7,a7,a2,a8,a7,a6,a7)),
% 117.27/117.29     inference(scs_inference,[],[766,93])).
% 117.27/117.29  cnf(769,plain,
% 117.27/117.29     (P4(a8,a7,a7,a2,a7,a7,a6,a7)),
% 117.27/117.29     inference(scs_inference,[],[766,93,85])).
% 117.27/117.29  cnf(776,plain,
% 117.27/117.29     (P4(a7,a7,a7,a2,a7,a7,a6,a7)),
% 117.27/117.29     inference(scs_inference,[],[769,93])).
% 117.27/117.29  cnf(778,plain,
% 117.27/117.29     (P4(a7,a7,a7,a2,a8,a5,a6,a7)),
% 117.27/117.29     inference(scs_inference,[],[767,769,66,93,112])).
% 117.27/117.29  cnf(780,plain,
% 117.27/117.29     (P4(a7,a7,a7,a2,a7,a5,a6,a7)),
% 117.27/117.29     inference(scs_inference,[],[767,769,66,93,112,85])).
% 117.27/117.29  cnf(783,plain,
% 117.27/117.29     (P4(a7,a7,a7,a2,a7,a2,a6,a7)),
% 117.27/117.29     inference(scs_inference,[],[780,71,112])).
% 117.27/117.29  cnf(786,plain,
% 117.27/117.29     (P4(a7,a7,a7,a2,a7,a4,a6,a7)),
% 117.27/117.29     inference(scs_inference,[],[776,65,112])).
% 117.27/117.29  cnf(801,plain,
% 117.27/117.29     (P4(a8,a7,a7,a2,a8,a4,a6,a7)),
% 117.27/117.29     inference(scs_inference,[],[786,532,102])).
% 117.27/117.29  cnf(802,plain,
% 117.27/117.29     (P4(a7,a7,a7,a2,a8,a4,a6,a7)),
% 117.27/117.29     inference(scs_inference,[],[801,93])).
% 117.27/117.29  cnf(804,plain,
% 117.27/117.29     (P4(a8,a7,a7,a2,a7,a4,a6,a7)),
% 117.27/117.29     inference(scs_inference,[],[801,93,85])).
% 117.27/117.29  cnf(807,plain,
% 117.27/117.29     (P4(a8,a7,a7,a2,a7,a6,a6,a7)),
% 117.27/117.29     inference(scs_inference,[],[804,69,112])).
% 117.27/117.29  cnf(809,plain,
% 117.27/117.29     (P4(a7,a7,a7,a2,a7,a6,a6,a7)),
% 117.27/117.29     inference(scs_inference,[],[804,69,112,93])).
% 117.27/117.29  cnf(812,plain,
% 117.27/117.29     (P4(a7,a7,a7,a2,a8,a6,a6,a7)),
% 117.27/117.29     inference(scs_inference,[],[809,23,110])).
% 117.27/117.29  cnf(837,plain,
% 117.27/117.29     (P4(x8371,x8372,x8373,a1,a8,a1,a7,a7)+~P4(x8371,x8372,x8373,a7,a7,a8,a7,a7)),
% 117.27/117.29     inference(scs_inference,[],[575,95])).
% 117.27/117.29  cnf(879,plain,
% 117.27/117.29     (P4(a1,a7,a7,a2,a4,a7,a6,a6)),
% 117.27/117.29     inference(scs_inference,[],[657,64,111])).
% 117.27/117.29  cnf(888,plain,
% 117.27/117.29     (P4(a6,a7,a7,a2,a1,a8,a7,a6)),
% 117.27/117.29     inference(scs_inference,[],[669,1,106])).
% 117.27/117.29  cnf(892,plain,
% 117.27/117.29     (P4(a6,a7,a7,a2,a7,a8,a7,a6)),
% 117.27/117.29     inference(scs_inference,[],[669,879,1,65,106,112,86])).
% 117.27/117.29  cnf(898,plain,
% 117.27/117.29     (P4(a6,a7,a7,a2,a1,a4,a7,a6)),
% 117.27/117.29     inference(scs_inference,[],[669,64,112])).
% 117.27/117.29  cnf(900,plain,
% 117.27/117.29     (P4(a6,a7,a7,a2,a7,a4,a7,a6)),
% 117.27/117.29     inference(scs_inference,[],[669,64,112,86])).
% 117.27/117.29  cnf(903,plain,
% 117.27/117.29     (P4(a6,a7,a7,a2,a1,a3,a7,a6)),
% 117.27/117.29     inference(scs_inference,[],[669,63,112])).
% 117.27/117.29  cnf(905,plain,
% 117.27/117.29     (P4(a6,a7,a7,a2,a7,a3,a7,a6)),
% 117.27/117.29     inference(scs_inference,[],[669,63,112,86])).
% 117.27/117.29  cnf(909,plain,
% 117.27/117.29     (P4(a6,a7,a7,a2,a5,a6,a7,a6)),
% 117.27/117.29     inference(scs_inference,[],[670,66,111])).
% 117.27/117.29  cnf(912,plain,
% 117.27/117.29     (P4(a6,a7,a7,a2,a4,a6,a7,a6)),
% 117.27/117.29     inference(scs_inference,[],[670,65,111])).
% 117.27/117.29  cnf(915,plain,
% 117.27/117.29     (P4(a6,a7,a7,a2,a4,a8,a7,a6)),
% 117.27/117.29     inference(scs_inference,[],[912,44,106])).
% 117.27/117.29  cnf(929,plain,
% 117.27/117.29     (~P4(a7,a7,a2,a7,a3,a3,a6,x9291)),
% 117.27/117.29     inference(scs_inference,[],[717,68,112])).
% 117.27/117.29  cnf(932,plain,
% 117.27/117.29     (~P4(a7,a7,a2,a7,a3,a4,a6,x9321)),
% 117.27/117.29     inference(scs_inference,[],[717,69,112])).
% 117.27/117.29  cnf(946,plain,
% 117.27/117.29     (P4(x9461,x9462,x9463,x9464,a1,a7,x9464,a1)+~P4(x9461,x9462,x9463,a1,x9464,a7,x9464,a1)),
% 117.27/117.29     inference(scs_inference,[],[695,85])).
% 117.27/117.29  cnf(987,plain,
% 117.27/117.29     (P4(a8,a7,a7,a2,a5,a7,a6,a7)),
% 117.27/117.29     inference(scs_inference,[],[769,30,66,106,111])).
% 117.27/117.29  cnf(989,plain,
% 117.27/117.29     (P4(a7,a7,a7,a2,a7,a8,a6,a7)),
% 117.27/117.29     inference(scs_inference,[],[769,30,66,106,111,93])).
% 117.27/117.29  cnf(992,plain,
% 117.27/117.29     (P4(a7,a7,a7,a2,a5,a7,a6,a7)),
% 117.27/117.29     inference(scs_inference,[],[987,93])).
% 117.27/117.29  cnf(994,plain,
% 117.27/117.29     (P4(a8,a7,a7,a2,a4,a7,a6,a7)),
% 117.27/117.29     inference(scs_inference,[],[769,987,65,93,111])).
% 117.27/117.29  cnf(997,plain,
% 117.27/117.29     (P4(a7,a7,a7,a2,a4,a7,a6,a7)),
% 117.27/117.29     inference(scs_inference,[],[994,93])).
% 117.27/117.29  cnf(999,plain,
% 117.27/117.29     (P4(a8,a7,a7,a2,a4,a8,a6,a7)),
% 117.27/117.29     inference(scs_inference,[],[994,44,93,106])).
% 117.27/117.29  cnf(1002,plain,
% 117.27/117.29     (P4(a7,a7,a7,a2,a4,a8,a6,a7)),
% 117.27/117.29     inference(scs_inference,[],[999,93])).
% 117.27/117.29  cnf(1016,plain,
% 117.27/117.29     (P4(a7,a7,a7,a2,a5,a5,a6,a7)),
% 117.27/117.29     inference(scs_inference,[],[780,66,111])).
% 117.27/117.29  cnf(1019,plain,
% 117.27/117.29     (P4(a7,a7,a7,a2,a4,a5,a6,a7)),
% 117.27/117.29     inference(scs_inference,[],[780,65,111])).
% 117.27/117.29  cnf(1023,plain,
% 117.27/117.29     (P4(a7,a7,a7,a2,a8,a2,a6,a7)),
% 117.27/117.29     inference(scs_inference,[],[783,16,110])).
% 117.27/117.29  cnf(1025,plain,
% 117.27/117.29     (P4(a7,a7,a7,a2,a5,a2,a6,a7)),
% 117.27/117.29     inference(scs_inference,[],[783,16,66,110,111])).
% 117.27/117.29  cnf(1028,plain,
% 117.27/117.29     (P4(a7,a7,a7,a2,a4,a2,a6,a7)),
% 117.27/117.29     inference(scs_inference,[],[783,65,111])).
% 117.27/117.29  cnf(1032,plain,
% 117.27/117.29     (P4(a7,a7,a7,a2,a5,a4,a6,a7)),
% 117.27/117.29     inference(scs_inference,[],[786,66,111])).
% 117.27/117.30  cnf(1035,plain,
% 117.27/117.30     (P4(a7,a7,a7,a2,a4,a4,a6,a7)),
% 117.27/117.30     inference(scs_inference,[],[786,65,111])).
% 117.27/117.30  cnf(1048,plain,
% 117.27/117.30     (P4(a8,a7,a7,a2,a5,a4,a6,a7)),
% 117.27/117.30     inference(scs_inference,[],[804,66,111])).
% 117.27/117.30  cnf(1051,plain,
% 117.27/117.30     (P4(a8,a7,a7,a2,a4,a4,a6,a7)),
% 117.27/117.30     inference(scs_inference,[],[804,65,111])).
% 117.27/117.30  cnf(1055,plain,
% 117.27/117.30     (P4(a8,a7,a7,a2,a7,a1,a6,a7)),
% 117.27/117.30     inference(scs_inference,[],[807,29,105])).
% 117.27/117.30  cnf(1057,plain,
% 117.27/117.30     (P4(a8,a7,a7,a2,a8,a6,a6,a7)),
% 117.27/117.30     inference(scs_inference,[],[807,29,23,105,110])).
% 117.27/117.30  cnf(1059,plain,
% 117.27/117.30     (P4(a8,a7,a7,a2,a5,a6,a6,a7)),
% 117.27/117.30     inference(scs_inference,[],[807,29,23,66,105,110,111])).
% 117.27/117.30  cnf(1061,plain,
% 117.27/117.30     (P4(a7,a7,a7,a2,a7,a1,a6,a7)),
% 117.27/117.30     inference(scs_inference,[],[807,29,23,66,105,110,111,93])).
% 117.27/117.30  cnf(1064,plain,
% 117.27/117.30     (P4(a7,a7,a7,a2,a5,a6,a6,a7)),
% 117.27/117.30     inference(scs_inference,[],[1059,93])).
% 117.27/117.30  cnf(1066,plain,
% 117.27/117.30     (P4(a8,a7,a7,a2,a4,a6,a6,a7)),
% 117.27/117.30     inference(scs_inference,[],[807,1059,65,93,111])).
% 117.27/117.30  cnf(1069,plain,
% 117.27/117.30     (P4(a7,a7,a7,a2,a4,a6,a6,a7)),
% 117.27/117.30     inference(scs_inference,[],[1066,93])).
% 117.27/117.30  cnf(1071,plain,
% 117.27/117.30     (P4(a8,a7,a7,a2,a4,a1,a6,a7)),
% 117.27/117.30     inference(scs_inference,[],[1066,43,93,105])).
% 117.27/117.30  cnf(1079,plain,
% 117.27/117.30     (P4(a7,a7,a7,a2,a8,a1,a6,a7)),
% 117.27/117.30     inference(scs_inference,[],[812,8,105])).
% 117.27/117.30  cnf(1108,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a7,a2,x11081,a2,x11082)),
% 117.27/117.30     inference(scs_inference,[],[147,61,111])).
% 117.27/117.30  cnf(1110,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a7,a2,a1,a7,x11101)),
% 117.27/117.30     inference(scs_inference,[],[147,61,59,111,103])).
% 117.27/117.30  cnf(1113,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a7,a5,x11131,a2,x11132)),
% 117.27/117.30     inference(scs_inference,[],[1108,71,111])).
% 117.27/117.30  cnf(1115,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a7,a5,a1,a7,x11151)),
% 117.27/117.30     inference(scs_inference,[],[1108,71,59,111,103])).
% 117.27/117.30  cnf(1120,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a7,a2,a7,a7,x11201)),
% 117.27/117.30     inference(scs_inference,[],[1110,15,105])).
% 117.27/117.30  cnf(1122,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a7,a4,x11221,a2,x11222)),
% 117.27/117.30     inference(scs_inference,[],[82,1110,15,69,105,111])).
% 117.27/117.30  cnf(1124,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a7,a4,a1,a7,x11241)),
% 117.27/117.30     inference(scs_inference,[],[82,1110,15,69,59,105,111,103])).
% 117.27/117.30  cnf(1127,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a7,a5,a7,a7,x11271)),
% 117.27/117.30     inference(scs_inference,[],[1120,71,111])).
% 117.27/117.30  cnf(1130,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a7,a7,x11301,a2,x11302)),
% 117.27/117.30     inference(scs_inference,[],[1113,66,111])).
% 117.27/117.30  cnf(1132,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a7,a2,a2,a7)),
% 117.27/117.30     inference(scs_inference,[],[1113,66,111,155])).
% 117.27/117.30  cnf(1138,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a1,a7,a7,a7)),
% 117.27/117.30     inference(scs_inference,[],[1113,66,59,111,155,103,151,576])).
% 117.27/117.30  cnf(1140,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a7,a7,a7,a7)),
% 117.27/117.30     inference(scs_inference,[],[1113,66,59,111,155,103,151,576,386])).
% 117.27/117.30  cnf(1142,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a7,a1,a7,a7,a7)),
% 117.27/117.30     inference(scs_inference,[],[1113,66,59,111,155,103,151,576,386,96])).
% 117.27/117.30  cnf(1144,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a1,a7,a2,a7)),
% 117.27/117.30     inference(scs_inference,[],[1113,66,57,59,111,155,103,151,576,386,96,107])).
% 117.27/117.30  cnf(1147,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a2,a7,a2,a7)),
% 117.27/117.30     inference(scs_inference,[],[1144,386])).
% 117.27/117.30  cnf(1149,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a7,a1,a7,a2,a7)),
% 117.27/117.30     inference(scs_inference,[],[1144,386,96])).
% 117.27/117.30  cnf(1151,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a7,a7,a1,a7,x11511)),
% 117.27/117.30     inference(scs_inference,[],[1130,1144,59,386,96,103])).
% 117.27/117.30  cnf(1154,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a7,a7,a7,a7,x11541)),
% 117.27/117.30     inference(scs_inference,[],[1130,1144,59,386,96,103,151])).
% 117.27/117.30  cnf(1157,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a5,a2,a2,a7)),
% 117.27/117.30     inference(scs_inference,[],[1132,72,111])).
% 117.27/117.30  cnf(1178,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a7,a3,a2,a6,x11781)),
% 117.27/117.30     inference(scs_inference,[],[929,61,112])).
% 117.27/117.30  cnf(1180,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a7,a2,a3,a6,x11801)),
% 117.27/117.30     inference(scs_inference,[],[929,61,112,111])).
% 117.27/117.30  cnf(1183,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a7,a5,a3,a6,x11831)),
% 117.27/117.30     inference(scs_inference,[],[1180,71,111])).
% 117.27/117.30  cnf(1186,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a7,a6,a3,a6,x11861)),
% 117.27/117.30     inference(scs_inference,[],[929,63,111])).
% 117.27/117.30  cnf(1190,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a7,a3,a7,a6,x11901)),
% 117.27/117.30     inference(scs_inference,[],[932,65,112])).
% 117.27/117.30  cnf(1192,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a7,a2,a4,a6,x11921)),
% 117.27/117.30     inference(scs_inference,[],[932,61,65,112,111])).
% 117.27/117.30  cnf(1195,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a7,a5,a4,a6,x11951)),
% 117.27/117.30     inference(scs_inference,[],[1192,71,111])).
% 117.27/117.30  cnf(1198,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a7,a6,a4,a6,x11981)),
% 117.27/117.30     inference(scs_inference,[],[932,63,111])).
% 117.27/117.30  cnf(1232,plain,
% 117.27/117.30     (P4(a8,a7,a7,a2,a8,a1,a6,a7)),
% 117.27/117.30     inference(scs_inference,[],[1055,1,110])).
% 117.27/117.30  cnf(1254,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a7,a2,a5,a7,x12541)),
% 117.27/117.30     inference(scs_inference,[],[1120,72,112])).
% 117.27/117.30  cnf(1257,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a7,a2,a4,a7,x12571)),
% 117.27/117.30     inference(scs_inference,[],[1120,70,112])).
% 117.27/117.30  cnf(1261,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a7,a5,a5,a7,x12611)),
% 117.27/117.30     inference(scs_inference,[],[1254,71,111])).
% 117.27/117.30  cnf(1264,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a7,a5,a4,a7,x12641)),
% 117.27/117.30     inference(scs_inference,[],[1257,71,111])).
% 117.27/117.30  cnf(1268,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a7,a4,a7,a7,x12681)),
% 117.27/117.30     inference(scs_inference,[],[1124,43,105])).
% 117.27/117.30  cnf(1274,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a7,a5,a2,a7)),
% 117.27/117.30     inference(scs_inference,[],[1132,71,112])).
% 117.27/117.30  cnf(1276,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a4,a2,a2,a7)),
% 117.27/117.30     inference(scs_inference,[],[1132,71,70,112,111])).
% 117.27/117.30  cnf(1279,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a7,a3,a2,a7)),
% 117.27/117.30     inference(scs_inference,[],[1132,67,112])).
% 117.27/117.30  cnf(1281,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a6,a2,a2,a7)),
% 117.27/117.30     inference(scs_inference,[],[1132,1276,67,64,112,111])).
% 117.27/117.30  cnf(1285,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a1,a5,a7,a7)),
% 117.27/117.30     inference(scs_inference,[],[1138,72,112])).
% 117.27/117.30  cnf(1287,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a5,a5,a2,a7)),
% 117.27/117.30     inference(scs_inference,[],[1138,1274,72,112,111])).
% 117.27/117.30  cnf(1289,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a7,a5,a7,a7)),
% 117.27/117.30     inference(scs_inference,[],[1138,1274,72,112,111,417])).
% 117.27/117.30  cnf(1291,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a7,a1,a5,a7,a7)),
% 117.27/117.30     inference(scs_inference,[],[1138,1274,72,112,111,417,96])).
% 117.27/117.30  cnf(1293,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a1,a5,a2,a7)),
% 117.27/117.30     inference(scs_inference,[],[1138,1274,72,57,112,111,417,96,107])).
% 117.27/117.30  cnf(1296,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a2,a5,a2,a7)),
% 117.27/117.30     inference(scs_inference,[],[1293,417])).
% 117.27/117.30  cnf(1300,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a7,a1,a5,a2,a7)),
% 117.27/117.30     inference(scs_inference,[],[1289,1293,1291,57,417,96,107])).
% 117.27/117.30  cnf(1302,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a1,a4,a7,a7)),
% 117.27/117.30     inference(scs_inference,[],[1138,70,1289,1293,1291,57,417,96,107,112])).
% 117.27/117.30  cnf(1304,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a5,a3,a2,a7)),
% 117.27/117.30     inference(scs_inference,[],[1138,1279,72,70,1289,1293,1291,57,417,96,107,112,111])).
% 117.27/117.30  cnf(1306,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a7,a4,a7,a7)),
% 117.27/117.30     inference(scs_inference,[],[1138,1279,72,70,1289,1293,1291,57,417,96,107,112,111,462])).
% 117.27/117.30  cnf(1309,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a7,a1,a4,a7,a7)),
% 117.27/117.30     inference(scs_inference,[],[1302,96])).
% 117.27/117.30  cnf(1311,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a1,a7,a6,a7)),
% 117.27/117.30     inference(scs_inference,[],[1138,1302,58,96,107])).
% 117.27/117.30  cnf(1315,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a6,a7,a6,a7)),
% 117.27/117.30     inference(scs_inference,[],[1138,1115,1302,58,96,107,103,386])).
% 117.27/117.30  cnf(1322,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a7,a1,a7,a6,a7)),
% 117.27/117.30     inference(scs_inference,[],[1311,96])).
% 117.27/117.30  cnf(1324,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a1,a4,a2,a7)),
% 117.27/117.30     inference(scs_inference,[],[1302,1311,57,96,107])).
% 117.27/117.30  cnf(1328,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a2,a4,a2,a7)),
% 117.27/117.30     inference(scs_inference,[],[1302,1311,57,96,107,386,462])).
% 117.27/117.30  cnf(1331,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a7,a1,a4,a2,a7)),
% 117.27/117.30     inference(scs_inference,[],[1324,96])).
% 117.27/117.30  cnf(1335,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a4,a7,a7,a7)),
% 117.27/117.30     inference(scs_inference,[],[1140,70,111])).
% 117.27/117.30  cnf(1338,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a5,a7,a7,a7)),
% 117.27/117.30     inference(scs_inference,[],[1140,72,111])).
% 117.27/117.30  cnf(1344,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a5,a7,a2,a7)),
% 117.27/117.30     inference(scs_inference,[],[1147,71,111])).
% 117.27/117.30  cnf(1347,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a3,a7,a2,a7)),
% 117.27/117.30     inference(scs_inference,[],[1147,67,111])).
% 117.27/117.30  cnf(1353,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a7,a7,a4,a7,x13531)),
% 117.27/117.30     inference(scs_inference,[],[1154,70,112])).
% 117.27/117.30  cnf(1356,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a7,a7,a5,a7,x13561)),
% 117.27/117.30     inference(scs_inference,[],[1154,72,112])).
% 117.27/117.30  cnf(1360,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a2,a2,a2,a7)),
% 117.27/117.30     inference(scs_inference,[],[1157,62,111])).
% 117.27/117.30  cnf(1364,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a7,a3,a5,a6,x13641)),
% 117.27/117.30     inference(scs_inference,[],[1178,71,112])).
% 117.27/117.30  cnf(1366,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a7,a2,a2,a6,x13661)),
% 117.27/117.30     inference(scs_inference,[],[1178,61,71,112,111])).
% 117.27/117.30  cnf(1369,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a7,a6,a2,a6,x13691)),
% 117.27/117.30     inference(scs_inference,[],[1178,63,111])).
% 117.27/117.30  cnf(1373,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a7,a2,a6,a6,x13731)),
% 117.27/117.30     inference(scs_inference,[],[1180,63,112])).
% 117.27/117.30  cnf(1377,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a7,a5,a2,a6,x13771)),
% 117.27/117.30     inference(scs_inference,[],[1183,61,112])).
% 117.27/117.30  cnf(1379,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a7,a7,a3,a6,x13791)),
% 117.27/117.30     inference(scs_inference,[],[1183,61,66,112,111])).
% 117.27/117.30  cnf(1382,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a7,a5,a6,a6,x13821)),
% 117.27/117.30     inference(scs_inference,[],[1183,63,112])).
% 117.27/117.30  cnf(1386,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a7,a4,a3,a6,x13861)),
% 117.27/117.30     inference(scs_inference,[],[1186,69,111])).
% 117.27/117.30  cnf(1390,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a7,a2,a7,a6,x13901)),
% 117.27/117.30     inference(scs_inference,[],[1190,61,111])).
% 117.27/117.30  cnf(1393,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a7,a6,a7,a6,x13931)),
% 117.27/117.30     inference(scs_inference,[],[1190,63,111])).
% 117.27/117.30  cnf(1398,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a7,a5,a7,a6,x13981)),
% 117.27/117.30     inference(scs_inference,[],[1195,65,112])).
% 117.27/117.30  cnf(1400,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a7,a7,a4,a6,x14001)),
% 117.27/117.30     inference(scs_inference,[],[1195,65,66,112,111])).
% 117.27/117.30  cnf(1404,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a7,a4,a4,a6,x14041)),
% 117.27/117.30     inference(scs_inference,[],[1198,69,111])).
% 117.27/117.30  cnf(1409,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a7,a2,a2,a7,x14091)),
% 117.27/117.30     inference(scs_inference,[],[1254,62,112])).
% 117.27/117.30  cnf(1411,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a7,a3,a5,a7,x14111)),
% 117.27/117.30     inference(scs_inference,[],[1254,62,67,112,111])).
% 117.27/117.30  cnf(1415,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a7,a2,a6,a7,x14151)),
% 117.27/117.30     inference(scs_inference,[],[1257,64,112])).
% 117.27/117.30  cnf(1417,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a7,a3,a4,a7,x14171)),
% 117.27/117.30     inference(scs_inference,[],[1257,67,64,112,111])).
% 117.27/117.30  cnf(1421,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a7,a5,a2,a7,x14211)),
% 117.27/117.30     inference(scs_inference,[],[1261,62,112])).
% 117.27/117.30  cnf(1425,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a7,a5,a6,a7,x14251)),
% 117.27/117.30     inference(scs_inference,[],[1264,64,112])).
% 117.27/117.30  cnf(1429,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a7,a4,a4,a7,x14291)),
% 117.27/117.30     inference(scs_inference,[],[1268,70,112])).
% 117.27/117.30  cnf(1432,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a7,a4,a5,a7,x14321)),
% 117.27/117.30     inference(scs_inference,[],[1268,72,112])).
% 117.27/117.30  cnf(1436,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a7,a7,a2,a7)),
% 117.27/117.30     inference(scs_inference,[],[1274,66,112])).
% 117.27/117.30  cnf(1438,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a4,a5,a2,a7)),
% 117.27/117.30     inference(scs_inference,[],[1274,70,66,112,111])).
% 117.27/117.30  cnf(1442,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a4,a3,a2,a7)),
% 117.27/117.30     inference(scs_inference,[],[1276,67,112])).
% 117.27/117.30  cnf(1446,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a7,a6,a2,a7)),
% 117.27/117.30     inference(scs_inference,[],[1279,63,112])).
% 117.27/117.30  cnf(1450,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a6,a5,a2,a7)),
% 117.27/117.30     inference(scs_inference,[],[1281,71,112])).
% 117.27/117.30  cnf(1452,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a3,a2,a2,a7)),
% 117.27/117.30     inference(scs_inference,[],[1281,68,71,112,111])).
% 117.27/117.30  cnf(1455,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a6,a3,a2,a7)),
% 117.27/117.30     inference(scs_inference,[],[1281,67,112])).
% 117.27/117.30  cnf(1459,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a1,a2,a7,a7)),
% 117.27/117.30     inference(scs_inference,[],[1285,62,112])).
% 117.27/117.30  cnf(1463,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a1,a2,a2,a7)),
% 117.27/117.30     inference(scs_inference,[],[1285,62,57,112,96,107])).
% 117.27/117.30  cnf(1465,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a7,a2,a7,a7)),
% 117.27/117.30     inference(scs_inference,[],[1285,15,62,57,112,96,107,109])).
% 117.27/117.30  cnf(1470,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a7,a7,a1,a6,x14701)),
% 117.27/117.30     inference(scs_inference,[],[1151,1465,58,96,103])).
% 117.27/117.30  cnf(1472,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a1,a5,a6,a7)),
% 117.27/117.30     inference(scs_inference,[],[1285,1151,1465,58,96,103,107])).
% 117.27/117.30  cnf(1474,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a7,a6,a6,a7)),
% 117.27/117.30     inference(scs_inference,[],[1285,1151,1465,58,96,103,107,155])).
% 117.27/117.30  cnf(1476,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a6,a5,a6,a7)),
% 117.27/117.30     inference(scs_inference,[],[1285,1151,1465,58,96,103,107,155,417])).
% 117.27/117.30  cnf(1481,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a7,a7,a6,a6,x14811)),
% 117.27/117.30     inference(scs_inference,[],[1470,151])).
% 117.27/117.30  cnf(1483,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a7,a1,a2,a2,a7)),
% 117.27/117.30     inference(scs_inference,[],[1470,1463,151,96])).
% 117.27/117.30  cnf(1489,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a7,a1,a5,a6,a7)),
% 117.27/117.30     inference(scs_inference,[],[1472,96])).
% 117.27/117.30  cnf(1494,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a5,a5,a7,a7)),
% 117.27/117.30     inference(scs_inference,[],[1289,72,111])).
% 117.27/117.30  cnf(1497,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a4,a5,a7,a7)),
% 117.27/117.30     inference(scs_inference,[],[1289,70,111])).
% 117.27/117.30  cnf(1503,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a3,a5,a2,a7)),
% 117.27/117.30     inference(scs_inference,[],[1296,67,111])).
% 117.27/117.30  cnf(1508,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a1,a6,a7,a7)),
% 117.27/117.30     inference(scs_inference,[],[1302,64,112])).
% 117.27/117.30  cnf(1510,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a7,a6,a7,a7)),
% 117.27/117.30     inference(scs_inference,[],[1302,64,112,339])).
% 117.27/117.30  cnf(1512,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a7,a1,a6,a7,a7)),
% 117.27/117.30     inference(scs_inference,[],[1302,64,112,339,96])).
% 117.27/117.30  cnf(1514,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a1,a6,a2,a7)),
% 117.27/117.30     inference(scs_inference,[],[1302,64,57,112,339,96,107])).
% 117.27/117.30  cnf(1517,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a2,a6,a2,a7)),
% 117.27/117.30     inference(scs_inference,[],[1514,339])).
% 117.27/117.30  cnf(1521,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a7,a1,a6,a2,a7)),
% 117.27/117.30     inference(scs_inference,[],[1510,1514,1512,57,339,96,107])).
% 117.27/117.30  cnf(1524,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a7,a2,a1,a6,x15241)),
% 117.27/117.30     inference(scs_inference,[],[1110,58,103])).
% 117.27/117.30  cnf(1526,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a1,a4,a6,a7)),
% 117.27/117.30     inference(scs_inference,[],[1302,1110,58,103,107])).
% 117.27/117.30  cnf(1528,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a6,a4,a6,a7)),
% 117.27/117.30     inference(scs_inference,[],[1302,1110,58,103,107,462])).
% 117.27/117.30  cnf(1534,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a5,a6,a2,a7)),
% 117.27/117.30     inference(scs_inference,[],[1304,63,112])).
% 117.27/117.30  cnf(1536,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a2,a3,a2,a7)),
% 117.27/117.30     inference(scs_inference,[],[1304,62,63,112,111])).
% 117.27/117.30  cnf(1540,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a5,a4,a7,a7)),
% 117.27/117.30     inference(scs_inference,[],[1306,72,111])).
% 117.27/117.30  cnf(1543,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a4,a4,a7,a7)),
% 117.27/117.30     inference(scs_inference,[],[1306,70,111])).
% 117.27/117.30  cnf(1550,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a3,a7,a6,a7)),
% 117.27/117.30     inference(scs_inference,[],[1315,68,111])).
% 117.27/117.30  cnf(1553,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a4,a7,a6,a7)),
% 117.27/117.30     inference(scs_inference,[],[1315,69,111])).
% 117.27/117.30  cnf(1561,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a5,a4,a2,a7)),
% 117.27/117.30     inference(scs_inference,[],[1328,71,111])).
% 117.27/117.30  cnf(1564,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a3,a4,a2,a7)),
% 117.27/117.30     inference(scs_inference,[],[1328,67,111])).
% 117.27/117.30  cnf(1569,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a6,a7,a7,a7)),
% 117.27/117.30     inference(scs_inference,[],[1335,64,111])).
% 117.27/117.30  cnf(1573,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a2,a7,a7,a7)),
% 117.27/117.30     inference(scs_inference,[],[1338,62,111])).
% 117.27/117.30  cnf(1578,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a6,a7,a2,a7)),
% 117.27/117.30     inference(scs_inference,[],[1347,63,111])).
% 117.27/117.30  cnf(1582,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a7,a7,a6,a7,x15821)),
% 117.27/117.30     inference(scs_inference,[],[1353,64,112])).
% 117.27/117.30  cnf(1586,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a7,a7,a2,a7,x15861)),
% 117.27/117.30     inference(scs_inference,[],[1356,62,112])).
% 117.27/117.30  cnf(1591,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a7,a2,a5,a6,x15911)),
% 117.27/117.30     inference(scs_inference,[],[1364,61,111])).
% 117.27/117.30  cnf(1594,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a7,a6,a5,a6,x15941)),
% 117.27/117.30     inference(scs_inference,[],[1364,63,111])).
% 117.27/117.30  cnf(1599,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a7,a4,a2,a6,x15991)),
% 117.27/117.30     inference(scs_inference,[],[1369,69,111])).
% 117.27/117.30  cnf(1604,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a7,a5,a5,a6,x16041)),
% 117.27/117.30     inference(scs_inference,[],[1377,71,112])).
% 117.27/117.30  cnf(1606,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a7,a7,a2,a6,x16061)),
% 117.27/117.30     inference(scs_inference,[],[1377,71,66,112,111])).
% 117.27/117.30  cnf(1612,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a7,a4,a6,a6,x16121)),
% 117.27/117.30     inference(scs_inference,[],[1386,63,112])).
% 117.27/117.30  cnf(1617,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a7,a4,a7,a6,x16171)),
% 117.27/117.30     inference(scs_inference,[],[1393,69,111])).
% 117.27/117.30  cnf(1621,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a7,a7,a7,a6,x16211)),
% 117.27/117.30     inference(scs_inference,[],[1398,66,111])).
% 117.27/117.30  cnf(1627,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a7,a2,a3,a7,x16271)),
% 117.27/117.30     inference(scs_inference,[],[1409,67,112])).
% 117.27/117.30  cnf(1629,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a7,a3,a2,a7,x16291)),
% 117.27/117.30     inference(scs_inference,[],[1409,67,112,111])).
% 117.27/117.30  cnf(1633,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a7,a6,a5,a7,x16331)),
% 117.27/117.30     inference(scs_inference,[],[1411,63,111])).
% 117.27/117.30  cnf(1637,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a7,a3,a6,a7,x16371)),
% 117.27/117.30     inference(scs_inference,[],[1415,67,111])).
% 117.27/117.30  cnf(1641,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a7,a6,a4,a7,x16411)),
% 117.27/117.30     inference(scs_inference,[],[1417,63,111])).
% 117.27/117.30  cnf(1645,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a7,a5,a3,a7,x16451)),
% 117.27/117.30     inference(scs_inference,[],[1421,67,112])).
% 117.27/117.30  cnf(1650,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a7,a4,a6,a7,x16501)),
% 117.27/117.30     inference(scs_inference,[],[1429,64,112])).
% 117.27/117.30  cnf(1654,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a7,a4,a2,a7,x16541)),
% 117.27/117.30     inference(scs_inference,[],[1432,62,112])).
% 117.27/117.30  cnf(1658,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a7,a4,a2,a7)),
% 117.27/117.30     inference(scs_inference,[],[1436,70,112])).
% 117.27/117.30  cnf(1660,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a4,a7,a2,a7)),
% 117.27/117.30     inference(scs_inference,[],[1436,70,112,111])).
% 117.27/117.30  cnf(1665,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a4,a6,a2,a7)),
% 117.27/117.30     inference(scs_inference,[],[1442,63,112])).
% 117.27/117.30  cnf(1671,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a3,a3,a2,a7)),
% 117.27/117.30     inference(scs_inference,[],[1452,67,112])).
% 117.27/117.30  cnf(1675,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a6,a6,a2,a7)),
% 117.27/117.30     inference(scs_inference,[],[1455,63,112])).
% 117.27/117.30  cnf(1679,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a1,a3,a7,a7)),
% 117.27/117.30     inference(scs_inference,[],[1459,67,112])).
% 117.27/117.30  cnf(1681,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a7,a1,a3,a7,a7)),
% 117.27/117.30     inference(scs_inference,[],[1459,67,112,96])).
% 117.27/117.30  cnf(1683,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a1,a3,a2,a7)),
% 117.27/117.30     inference(scs_inference,[],[1459,67,57,112,96,107])).
% 117.27/117.30  cnf(1685,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a7,a3,a7,a7)),
% 117.27/117.30     inference(scs_inference,[],[1459,36,67,57,112,96,107,109])).
% 117.27/117.30  cnf(1690,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a7,a1,a3,a2,a7)),
% 117.27/117.30     inference(scs_inference,[],[1685,1681,57,96,107])).
% 117.27/117.30  cnf(1693,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a7,a4,a1,a6,x16931)),
% 117.27/117.30     inference(scs_inference,[],[1124,58,103])).
% 117.27/117.30  cnf(1695,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a1,a2,a6,a7)),
% 117.27/117.30     inference(scs_inference,[],[1459,1124,58,103,107])).
% 117.27/117.30  cnf(1697,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a7,a1,a2,a6,a7)),
% 117.27/117.30     inference(scs_inference,[],[1459,1124,58,103,107,96])).
% 117.27/117.30  cnf(1703,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a5,a2,a7,a7)),
% 117.27/117.30     inference(scs_inference,[],[1465,72,111])).
% 117.27/117.30  cnf(1706,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a4,a2,a7,a7)),
% 117.27/117.30     inference(scs_inference,[],[1465,70,111])).
% 117.27/117.30  cnf(1712,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a7,a3,a6,a7)),
% 117.27/117.30     inference(scs_inference,[],[1474,68,112])).
% 117.27/117.30  cnf(1714,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a5,a6,a6,a7)),
% 117.27/117.30     inference(scs_inference,[],[1474,68,72,112,111])).
% 117.27/117.30  cnf(1717,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a7,a4,a6,a7)),
% 117.27/117.30     inference(scs_inference,[],[1474,69,112])).
% 117.27/117.30  cnf(1719,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a4,a6,a6,a7)),
% 117.27/117.30     inference(scs_inference,[],[1474,69,70,112,111])).
% 117.27/117.30  cnf(1723,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a6,a2,a6,a7)),
% 117.27/117.30     inference(scs_inference,[],[1476,62,112])).
% 117.27/117.30  cnf(1725,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a3,a5,a6,a7)),
% 117.27/117.30     inference(scs_inference,[],[1476,68,62,112,111])).
% 117.27/117.30  cnf(1728,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a4,a5,a6,a7)),
% 117.27/117.30     inference(scs_inference,[],[1476,69,111])).
% 117.27/117.30  cnf(1737,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a2,a5,a7,a7)),
% 117.27/117.30     inference(scs_inference,[],[1494,62,111])).
% 117.27/117.30  cnf(1741,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a6,a5,a7,a7)),
% 117.27/117.30     inference(scs_inference,[],[1497,64,111])).
% 117.27/117.30  cnf(1747,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a5,a6,a7,a7)),
% 117.27/117.30     inference(scs_inference,[],[1510,72,111])).
% 117.27/117.30  cnf(1750,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a4,a6,a7,a7)),
% 117.27/117.30     inference(scs_inference,[],[1510,70,111])).
% 117.27/117.30  cnf(1756,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a3,a6,a2,a7)),
% 117.27/117.30     inference(scs_inference,[],[1517,67,111])).
% 117.27/117.30  cnf(1762,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a1,a6,a6,a7)),
% 117.27/117.30     inference(scs_inference,[],[1526,64,112])).
% 117.27/117.30  cnf(1764,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a6,a6,a6,a7)),
% 117.27/117.30     inference(scs_inference,[],[1526,64,112,339])).
% 117.27/117.30  cnf(1770,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a3,a4,a6,a7)),
% 117.27/117.30     inference(scs_inference,[],[1528,68,111])).
% 117.27/117.30  cnf(1773,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a4,a4,a6,a7)),
% 117.27/117.30     inference(scs_inference,[],[1528,69,111])).
% 117.27/117.30  cnf(1780,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a2,a4,a7,a7)),
% 117.27/117.30     inference(scs_inference,[],[1540,62,111])).
% 117.27/117.30  cnf(1784,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a6,a4,a7,a7)),
% 117.27/117.30     inference(scs_inference,[],[1543,64,111])).
% 117.27/117.30  cnf(1788,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a2,a7,a6,a7)),
% 117.27/117.30     inference(scs_inference,[],[1550,61,111])).
% 117.27/117.30  cnf(1792,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a7,a7,a6,a7)),
% 117.27/117.30     inference(scs_inference,[],[1553,65,111])).
% 117.27/117.30  cnf(1797,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a6,a4,a2,a7)),
% 117.27/117.30     inference(scs_inference,[],[1564,63,111])).
% 117.27/117.30  cnf(1801,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a3,a7,a7,a7)),
% 117.27/117.30     inference(scs_inference,[],[1569,68,111])).
% 117.27/117.30  cnf(1807,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a7,a7,a3,a7,x18071)),
% 117.27/117.30     inference(scs_inference,[],[1582,68,112])).
% 117.27/117.30  cnf(1813,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a7,a4,a5,a6,x18131)),
% 117.27/117.30     inference(scs_inference,[],[1594,69,111])).
% 117.27/117.30  cnf(1818,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a7,a7,a5,a6,x18181)),
% 117.27/117.30     inference(scs_inference,[],[1604,66,111])).
% 117.27/117.30  cnf(1826,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a7,a3,a3,a7,x18261)),
% 117.27/117.30     inference(scs_inference,[],[1627,67,111])).
% 117.27/117.30  cnf(1830,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a7,a6,a2,a7,x18301)),
% 117.27/117.30     inference(scs_inference,[],[1629,63,111])).
% 117.27/117.30  cnf(1835,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a7,a6,a6,a7,x18351)),
% 117.27/117.30     inference(scs_inference,[],[1637,63,111])).
% 117.27/117.30  cnf(1841,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a7,a4,a3,a7,x18411)),
% 117.27/117.30     inference(scs_inference,[],[1650,68,112])).
% 117.27/117.30  cnf(1846,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a4,a4,a2,a7)),
% 117.27/117.30     inference(scs_inference,[],[1658,70,111])).
% 117.27/117.30  cnf(1857,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a5,a3,a7,a7)),
% 117.27/117.30     inference(scs_inference,[],[1685,72,111])).
% 117.27/117.30  cnf(1860,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a4,a3,a7,a7)),
% 117.27/117.30     inference(scs_inference,[],[1685,70,111])).
% 117.27/117.30  cnf(1866,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a1,a3,a6,a7)),
% 117.27/117.30     inference(scs_inference,[],[1695,67,112])).
% 117.27/117.30  cnf(1873,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a2,a2,a7,a7)),
% 117.27/117.30     inference(scs_inference,[],[1703,62,111])).
% 117.27/117.30  cnf(1877,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a6,a2,a7,a7)),
% 117.27/117.30     inference(scs_inference,[],[1706,64,111])).
% 117.27/117.30  cnf(1881,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a7,a2,a6,a7)),
% 117.27/117.30     inference(scs_inference,[],[1712,61,112])).
% 117.27/117.30  cnf(1883,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a5,a3,a6,a7)),
% 117.27/117.30     inference(scs_inference,[],[1712,61,72,112,111])).
% 117.27/117.30  cnf(1886,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a4,a3,a6,a7)),
% 117.27/117.30     inference(scs_inference,[],[1712,70,111])).
% 117.27/117.30  cnf(1890,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a5,a4,a6,a7)),
% 117.27/117.30     inference(scs_inference,[],[1714,69,112])).
% 117.27/117.30  cnf(1892,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a2,a6,a6,a7)),
% 117.27/117.30     inference(scs_inference,[],[1714,69,62,112,111])).
% 117.27/117.30  cnf(1898,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a6,a3,a6,a7)),
% 117.27/117.30     inference(scs_inference,[],[1723,67,112])).
% 117.27/117.30  cnf(1900,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a3,a2,a6,a7)),
% 117.27/117.30     inference(scs_inference,[],[1723,68,67,112,111])).
% 117.27/117.30  cnf(1903,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a4,a2,a6,a7)),
% 117.27/117.30     inference(scs_inference,[],[1723,69,111])).
% 117.27/117.30  cnf(1907,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a2,a5,a6,a7)),
% 117.27/117.30     inference(scs_inference,[],[1725,61,111])).
% 117.27/117.30  cnf(1911,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a7,a5,a6,a7)),
% 117.27/117.30     inference(scs_inference,[],[1728,65,111])).
% 117.27/117.30  cnf(1915,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a3,a5,a7,a7)),
% 117.27/117.30     inference(scs_inference,[],[1737,67,111])).
% 117.27/117.30  cnf(1920,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a2,a6,a7,a7)),
% 117.27/117.30     inference(scs_inference,[],[1747,62,111])).
% 117.27/117.30  cnf(1924,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a6,a6,a7,a7)),
% 117.27/117.30     inference(scs_inference,[],[1750,64,111])).
% 117.27/117.30  cnf(1930,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a3,a6,a6,a7)),
% 117.27/117.30     inference(scs_inference,[],[1764,68,111])).
% 117.27/117.30  cnf(1935,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a2,a4,a6,a7)),
% 117.27/117.30     inference(scs_inference,[],[1770,61,111])).
% 117.27/117.30  cnf(1940,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a3,a4,a7,a7)),
% 117.27/117.30     inference(scs_inference,[],[1780,67,111])).
% 117.27/117.30  cnf(1945,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a5,a7,a6,a7)),
% 117.27/117.30     inference(scs_inference,[],[1788,71,111])).
% 117.27/117.30  cnf(1955,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a7,a6,a3,a7,x19551)),
% 117.27/117.30     inference(scs_inference,[],[1826,63,111])).
% 117.27/117.30  cnf(1963,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a2,a3,a7,a7)),
% 117.27/117.30     inference(scs_inference,[],[1857,62,111])).
% 117.27/117.30  cnf(1967,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a6,a3,a7,a7)),
% 117.27/117.30     inference(scs_inference,[],[1860,64,111])).
% 117.27/117.30  cnf(1973,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a3,a2,a7,a7)),
% 117.27/117.30     inference(scs_inference,[],[1873,67,111])).
% 117.27/117.30  cnf(1978,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a5,a2,a6,a7)),
% 117.27/117.30     inference(scs_inference,[],[1881,72,111])).
% 117.27/117.30  cnf(1982,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a2,a3,a6,a7)),
% 117.27/117.30     inference(scs_inference,[],[1883,62,111])).
% 117.27/117.30  cnf(1989,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a3,a3,a6,a7)),
% 117.27/117.30     inference(scs_inference,[],[1898,68,111])).
% 117.27/117.30  cnf(1993,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a2,a2,a6,a7)),
% 117.27/117.30     inference(scs_inference,[],[1900,61,111])).
% 117.27/117.30  cnf(1998,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a5,a5,a6,a7)),
% 117.27/117.30     inference(scs_inference,[],[1907,71,111])).
% 117.27/117.30  cnf(2004,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a3,a6,a7,a7)),
% 117.27/117.30     inference(scs_inference,[],[1920,67,111])).
% 117.27/117.30  cnf(2014,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a3,a3,a7,a7)),
% 117.27/117.30     inference(scs_inference,[],[1963,67,111])).
% 117.27/117.30  cnf(2174,plain,
% 117.27/117.30     (P4(a7,a8,a7,a2,a5,a7,a6,a7)),
% 117.27/117.30     inference(scs_inference,[],[992,100])).
% 117.27/117.30  cnf(2176,plain,
% 117.27/117.30     (P4(a6,a7,a1,a2,a7,a4,a7,a6)),
% 117.27/117.30     inference(scs_inference,[],[900,992,100,97])).
% 117.27/117.30  cnf(2178,plain,
% 117.27/117.30     (~P4(a7,a7,a8,a7,a3,a7,a7,a2)),
% 117.27/117.30     inference(scs_inference,[],[900,992,198,100,97,89])).
% 117.27/117.30  cnf(2181,plain,
% 117.27/117.30     (P4(a8,a7,a7,a2,a2,a2,a6,a6)),
% 117.27/117.30     inference(scs_inference,[],[285,900,992,198,100,97,89,102])).
% 117.27/117.30  cnf(2183,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a2,a1,a6,a7)),
% 117.27/117.30     inference(scs_inference,[],[285,900,992,198,1524,100,97,89,102,87])).
% 117.27/117.30  cnf(2186,plain,
% 117.27/117.30     (P4(a7,a7,a8,a2,a5,a7,a6,a7)),
% 117.27/117.30     inference(scs_inference,[],[285,900,992,198,1524,100,97,89,102,87,98])).
% 117.27/117.30  cnf(2188,plain,
% 117.27/117.30     (P4(a6,a1,a7,a2,a7,a4,a7,a6)),
% 117.27/117.30     inference(scs_inference,[],[285,900,992,198,1524,100,97,89,102,87,98,99])).
% 117.27/117.30  cnf(2192,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a7,a1,a8,a7,a7)),
% 117.27/117.30     inference(scs_inference,[],[285,492,900,992,1142,198,1524,100,97,89,102,87,98,99,101,83])).
% 117.27/117.30  cnf(2194,plain,
% 117.27/117.30     (~P4(a1,a7,a2,a7,a1,a7,a7,a7)),
% 117.27/117.30     inference(scs_inference,[],[285,492,900,992,1142,198,1524,100,97,89,102,87,98,99,101,83,94])).
% 117.27/117.30  cnf(2196,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a1,a1,a7,a7,a7)),
% 117.27/117.30     inference(scs_inference,[],[285,492,900,992,1142,198,1524,100,97,89,102,87,98,99,101,83,94,88])).
% 117.27/117.30  cnf(2198,plain,
% 117.27/117.30     (~P4(a7,a8,a2,a7,a1,a7,a7,a7)),
% 117.27/117.30     inference(scs_inference,[],[285,492,900,992,1142,198,1524,100,97,89,102,87,98,99,101,83,94,88,91])).
% 117.27/117.30  cnf(2200,plain,
% 117.27/117.30     (~P4(a7,a1,a2,a7,a1,a7,a7,a7)),
% 117.27/117.30     inference(scs_inference,[],[285,492,900,992,1142,198,1524,100,97,89,102,87,98,99,101,83,94,88,91,92])).
% 117.27/117.30  cnf(2202,plain,
% 117.27/117.30     (~P4(a7,a7,a1,a7,a1,a7,a2,a7)),
% 117.27/117.30     inference(scs_inference,[],[285,492,900,992,1142,1149,198,1524,100,97,89,102,87,98,99,101,83,94,88,91,92,90])).
% 117.27/117.30  cnf(2206,plain,
% 117.27/117.30     (~P4(a8,a7,a2,a7,a1,a7,a7,a7)),
% 117.27/117.30     inference(scs_inference,[],[285,492,900,992,1142,1149,198,1524,100,97,89,102,87,98,99,101,83,94,88,91,92,90,84,93])).
% 117.27/117.30  cnf(2208,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a8,a6,a2,a7)),
% 117.27/117.30     inference(scs_inference,[],[285,492,900,992,1142,1149,1446,198,1524,100,97,89,102,87,98,99,101,83,94,88,91,92,90,84,93,85])).
% 117.27/117.30  cnf(2210,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a7,a1,a6,a6,x22101)),
% 117.27/117.30     inference(scs_inference,[],[285,492,900,992,1142,1149,1446,198,624,1524,100,97,89,102,87,98,99,101,83,94,88,91,92,90,84,93,85,86])).
% 117.27/117.30  cnf(2212,plain,
% 117.27/117.30     (P4(a6,a7,a7,a2,a7,a8,a7,a7)),
% 117.27/117.30     inference(scs_inference,[],[285,492,900,992,1142,1149,1446,198,624,1524,892,58,100,97,89,102,87,98,99,101,83,94,88,91,92,90,84,93,85,86,104])).
% 117.27/117.30  cnf(2216,plain,
% 117.27/117.30     (P4(a7,a7,a7,a2,a7,a1,a7,a7)),
% 117.27/117.30     inference(scs_inference,[],[285,492,900,992,1142,1149,1446,198,624,1524,60,778,892,1061,58,100,97,89,102,87,98,99,101,83,94,88,91,92,90,84,93,85,86,104,108,103])).
% 117.27/117.30  cnf(2220,plain,
% 117.27/117.30     (P4(a7,a7,a7,a2,a5,a8,a6,a7)),
% 117.27/117.30     inference(scs_inference,[],[285,492,900,992,1142,1149,1446,198,624,1524,60,778,892,1061,898,51,59,58,100,97,89,102,87,98,99,101,83,94,88,91,92,90,84,93,85,86,104,108,103,107,106])).
% 117.27/117.30  cnf(2222,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a7,a7,a8,a7,a7)),
% 117.27/117.30     inference(scs_inference,[],[285,492,900,992,1142,1149,1446,198,624,1524,60,778,892,1061,898,51,59,8,58,100,97,89,102,87,98,99,101,83,94,88,91,92,90,84,93,85,86,104,108,103,107,106,109])).
% 117.27/117.30  cnf(2224,plain,
% 117.27/117.30     (P4(a6,a7,a7,a2,a5,a4,a7,a6)),
% 117.27/117.30     inference(scs_inference,[],[285,492,900,992,1142,1149,1446,909,198,624,1524,60,778,892,1061,898,51,59,8,58,64,100,97,89,102,87,98,99,101,83,94,88,91,92,90,84,93,85,86,104,108,103,107,106,109,112])).
% 117.27/117.30  cnf(2226,plain,
% 117.27/117.30     (P4(a6,a7,a7,a2,a4,a4,a7,a6)),
% 117.27/117.30     inference(scs_inference,[],[285,492,900,992,1142,1149,1446,909,198,624,1524,60,778,892,1061,898,51,59,8,58,65,64,100,97,89,102,87,98,99,101,83,94,88,91,92,90,84,93,85,86,104,108,103,107,106,109,112,111])).
% 117.27/117.30  cnf(2228,plain,
% 117.27/117.30     (P4(a7,a7,a7,a2,a8,a1,a7,a7)),
% 117.27/117.30     inference(scs_inference,[],[285,492,900,992,1142,1149,1446,909,198,624,1524,60,778,892,1061,898,51,59,8,58,65,64,100,97,89,102,87,98,99,101,83,94,88,91,92,90,84,93,85,86,104,108,103,107,106,109,112,111,289])).
% 117.27/117.30  cnf(2230,plain,
% 117.27/117.30     (P4(a6,a7,a7,a2,a8,a1,a7,a7)),
% 117.27/117.30     inference(scs_inference,[],[285,492,900,992,1142,1149,1446,909,198,624,1524,60,778,892,1061,898,51,59,8,58,65,64,100,97,89,102,87,98,99,101,83,94,88,91,92,90,84,93,85,86,104,108,103,107,106,109,112,111,289,575])).
% 117.27/117.30  cnf(2232,plain,
% 117.27/117.30     (P4(a6,a7,a1,a2,a1,a4,a7,a6)),
% 117.27/117.30     inference(scs_inference,[],[285,492,900,992,1142,1149,1446,909,198,624,1524,60,778,892,1061,898,51,59,8,58,65,64,100,97,89,102,87,98,99,101,83,94,88,91,92,90,84,93,85,86,104,108,103,107,106,109,112,111,289,575,462])).
% 117.27/117.30  cnf(2234,plain,
% 117.27/117.30     (P4(a6,a7,a7,a1,a1,a4,a2,a6)),
% 117.27/117.30     inference(scs_inference,[],[285,492,900,992,1142,1149,1446,909,198,624,1524,60,778,892,1061,898,51,59,8,58,65,64,100,97,89,102,87,98,99,101,83,94,88,91,92,90,84,93,85,86,104,108,103,107,106,109,112,111,289,575,462,95])).
% 117.27/117.30  cnf(2236,plain,
% 117.27/117.30     (P4(a7,a7,a7,a2,a5,a1,a6,a7)),
% 117.27/117.30     inference(scs_inference,[],[285,492,900,992,1064,1142,1149,1446,909,198,624,1524,60,778,892,1061,898,51,59,50,8,58,65,64,100,97,89,102,87,98,99,101,83,94,88,91,92,90,84,93,85,86,104,108,103,107,106,109,112,111,289,575,462,95,105])).
% 117.27/117.30  cnf(2243,plain,
% 117.27/117.30     (P4(a7,a8,a7,a2,a5,a4,a6,a7)),
% 117.27/117.30     inference(scs_inference,[],[1032,100])).
% 117.27/117.30  cnf(2245,plain,
% 117.27/117.30     (P4(a6,a1,a7,a2,a1,a4,a7,a6)),
% 117.27/117.30     inference(scs_inference,[],[1032,2188,100,462])).
% 117.27/117.30  cnf(2247,plain,
% 117.27/117.30     (P4(a6,a7,a1,a2,a7,a3,a7,a6)),
% 117.27/117.30     inference(scs_inference,[],[905,1032,2188,100,462,97])).
% 117.27/117.30  cnf(2249,plain,
% 117.27/117.30     (~P4(a7,a7,a8,a7,a6,a7,a7,a2)),
% 117.27/117.30     inference(scs_inference,[],[905,1032,609,2188,100,462,97,89])).
% 117.27/117.30  cnf(2252,plain,
% 117.27/117.30     (P4(a8,a7,a7,a2,a5,a7,a6,a6)),
% 117.27/117.30     inference(scs_inference,[],[686,905,1032,609,2188,100,462,97,89,102])).
% 117.27/117.30  cnf(2254,plain,
% 117.27/117.30     (P4(a7,a7,a8,a2,a5,a4,a6,a7)),
% 117.27/117.30     inference(scs_inference,[],[686,905,1032,609,2188,100,462,97,89,102,98])).
% 117.27/117.30  cnf(2259,plain,
% 117.27/117.30     (P4(a6,a1,a7,a2,a7,a3,a7,a6)),
% 117.27/117.30     inference(scs_inference,[],[686,905,1032,609,1693,2188,100,462,97,89,102,98,87,99])).
% 117.27/117.30  cnf(2261,plain,
% 117.27/117.30     (P4(a1,a7,a7,a2,a5,a7,a6,a6)),
% 117.27/117.30     inference(scs_inference,[],[686,905,1032,609,1693,2188,100,462,97,89,102,98,87,99,101])).
% 117.27/117.30  cnf(2263,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a7,a1,a8,a6,a7)),
% 117.27/117.30     inference(scs_inference,[],[686,905,1032,1322,609,1693,2188,100,462,97,89,102,98,87,99,101,83])).
% 117.27/117.30  cnf(2267,plain,
% 117.27/117.30     (~P4(a1,a7,a2,a7,a1,a4,a7,a7)),
% 117.27/117.30     inference(scs_inference,[],[686,905,1032,1309,1322,609,1693,2188,100,462,97,89,102,98,87,99,101,83,88,94])).
% 117.27/117.30  cnf(2269,plain,
% 117.27/117.30     (~P4(a7,a8,a2,a7,a1,a5,a2,a7)),
% 117.27/117.30     inference(scs_inference,[],[686,905,1032,1300,1309,1322,609,1693,2188,100,462,97,89,102,98,87,99,101,83,88,94,91])).
% 117.27/117.30  cnf(2271,plain,
% 117.27/117.30     (~P4(a7,a1,a2,a7,a1,a4,a7,a7)),
% 117.27/117.30     inference(scs_inference,[],[686,905,1032,1300,1309,1322,609,1693,2188,100,462,97,89,102,98,87,99,101,83,88,94,91,92])).
% 117.27/117.30  cnf(2277,plain,
% 117.27/117.30     (~P4(a8,a7,a2,a7,a1,a5,a2,a7)),
% 117.27/117.30     inference(scs_inference,[],[686,905,1032,1300,1309,1322,1483,609,1693,2188,100,462,97,89,102,98,87,99,101,83,88,94,91,92,90,84,93])).
% 117.27/117.30  cnf(2281,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a7,a1,a2,a7,x22811)),
% 117.27/117.30     inference(scs_inference,[],[686,905,1032,1300,1309,1322,1483,1911,609,1586,1693,2188,100,462,97,89,102,98,87,99,101,83,88,94,91,92,90,84,93,85,86])).
% 117.27/117.30  cnf(2283,plain,
% 117.27/117.30     (P4(a6,a7,a7,a2,a7,a8,a7,a2)),
% 117.27/117.30     inference(scs_inference,[],[686,905,1032,1300,1309,1322,1483,1911,609,1586,1693,2188,2212,59,100,462,97,89,102,98,87,99,101,83,88,94,91,92,90,84,93,85,86,104])).
% 117.27/117.30  cnf(2285,plain,
% 117.27/117.30     (P4(a7,a7,a7,a2,a8,a1,a7,a6)),
% 117.27/117.30     inference(scs_inference,[],[686,905,1032,1300,1309,1322,1483,1911,609,1586,1693,2188,2212,2228,60,59,100,462,97,89,102,98,87,99,101,83,88,94,91,92,90,84,93,85,86,104,108])).
% 117.27/117.30  cnf(2287,plain,
% 117.27/117.30     (P4(a7,a7,a7,a2,a7,a1,a2,a7)),
% 117.27/117.30     inference(scs_inference,[],[686,905,1032,1300,1309,1322,1483,1911,609,1586,1693,2188,2212,2216,2228,60,59,100,462,97,89,102,98,87,99,101,83,88,94,91,92,90,84,93,85,86,104,108,103])).
% 117.27/117.30  cnf(2289,plain,
% 117.27/117.30     (P4(a6,a7,a1,a2,a1,a4,a6,a6)),
% 117.27/117.30     inference(scs_inference,[],[686,905,1032,1300,1309,1322,1483,1911,609,1586,1693,2188,2212,2216,2228,2232,60,59,100,462,97,89,102,98,87,99,101,83,88,94,91,92,90,84,93,85,86,104,108,103,107])).
% 117.27/117.30  cnf(2291,plain,
% 117.27/117.30     (P4(a6,a7,a7,a2,a1,a8,a7,a7)),
% 117.27/117.30     inference(scs_inference,[],[686,905,1032,1300,1309,1322,1483,1911,609,1586,1693,2188,2212,2216,2228,2232,60,59,8,100,462,97,89,102,98,87,99,101,83,88,94,91,92,90,84,93,85,86,104,108,103,107,109])).
% 117.27/117.30  cnf(2293,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a7,a1,a4,a6,x22931)),
% 117.27/117.30     inference(scs_inference,[],[686,905,1032,1300,1309,1322,1483,1911,609,1586,1693,2210,2188,2212,2216,2228,2232,60,59,8,69,100,462,97,89,102,98,87,99,101,83,88,94,91,92,90,84,93,85,86,104,108,103,107,109,112])).
% 117.27/117.30  cnf(2295,plain,
% 117.27/117.30     (~P4(a7,a7,a8,a7,a2,a7,a7,a2)),
% 117.27/117.30     inference(scs_inference,[],[686,905,1032,1300,1309,1322,1483,1911,609,1586,1693,2210,2178,2188,2212,2216,2228,2232,60,59,8,61,69,100,462,97,89,102,98,87,99,101,83,88,94,91,92,90,84,93,85,86,104,108,103,107,109,112,111])).
% 117.27/117.30  cnf(2297,plain,
% 117.27/117.30     (P4(a7,a7,a7,a2,a8,a1,a2,a7)),
% 117.27/117.30     inference(scs_inference,[],[686,905,1032,1300,1309,1322,1483,1911,609,1586,1693,2210,2178,2188,2212,2216,2228,2232,60,59,8,61,69,100,462,97,89,102,98,87,99,101,83,88,94,91,92,90,84,93,85,86,104,108,103,107,109,112,111,289])).
% 117.27/117.30  cnf(2299,plain,
% 117.27/117.30     (P4(a7,a7,a7,a1,a7,a1,a2,a7)),
% 117.27/117.30     inference(scs_inference,[],[686,905,1032,1300,1309,1322,1483,1911,609,1586,1693,2210,2178,2188,2212,2216,2228,2232,60,59,8,61,69,100,462,97,89,102,98,87,99,101,83,88,94,91,92,90,84,93,85,86,104,108,103,107,109,112,111,289,95])).
% 117.27/117.30  cnf(2301,plain,
% 117.27/117.30     (P4(a6,a7,a7,a8,a7,a8,a7,a2)),
% 117.27/117.30     inference(scs_inference,[],[686,905,1032,1300,1309,1322,1483,1911,609,1586,1693,2210,2178,2188,2212,2216,2228,2232,60,59,8,61,69,100,462,97,89,102,98,87,99,101,83,88,94,91,92,90,84,93,85,86,104,108,103,107,109,112,111,289,95,96])).
% 117.27/117.30  cnf(2304,plain,
% 117.27/117.30     (P4(a7,a7,a7,a1,a8,a1,a2,a7)),
% 117.27/117.30     inference(scs_inference,[],[2299,289])).
% 117.27/117.30  cnf(2306,plain,
% 117.27/117.30     (P4(a7,a8,a7,a2,a4,a4,a6,a7)),
% 117.27/117.30     inference(scs_inference,[],[1035,2299,289,100])).
% 117.27/117.30  cnf(2308,plain,
% 117.27/117.30     (P4(a6,a7,a1,a2,a8,a1,a7,a7)),
% 117.27/117.30     inference(scs_inference,[],[1035,2230,2299,289,100,97])).
% 117.27/117.30  cnf(2310,plain,
% 117.27/117.30     (~P4(a7,a7,a8,a7,a5,a7,a7,a2)),
% 117.27/117.30     inference(scs_inference,[],[1035,2230,1127,2299,289,100,97,89])).
% 117.27/117.30  cnf(2311,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a7,a5,a7,a7,x23111)),
% 117.27/117.30     inference(rename_variables,[],[1127])).
% 117.27/117.30  cnf(2313,plain,
% 117.27/117.30     (P4(a8,a7,a7,a2,a7,a5,a6,a6)),
% 117.27/117.30     inference(scs_inference,[],[1035,530,2230,1127,2299,289,100,97,89,102])).
% 117.27/117.30  cnf(2315,plain,
% 117.27/117.30     (P4(a7,a7,a8,a2,a4,a4,a6,a7)),
% 117.27/117.30     inference(scs_inference,[],[1035,530,2230,1127,2299,289,100,97,89,102,98])).
% 117.27/117.30  cnf(2319,plain,
% 117.27/117.30     (P4(a6,a1,a7,a2,a8,a1,a7,a7)),
% 117.27/117.30     inference(scs_inference,[],[1035,530,2230,1127,2192,2299,289,100,97,89,102,98,87,99])).
% 117.27/117.30  cnf(2323,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a1,a5,a7,a7,x23231)),
% 117.27/117.30     inference(scs_inference,[],[1035,530,2230,1127,2311,2192,2299,289,100,97,89,102,98,87,99,101,88])).
% 117.27/117.30  cnf(2327,plain,
% 117.27/117.30     (~P4(a7,a8,a2,a7,a1,a4,a2,a7)),
% 117.27/117.30     inference(scs_inference,[],[1035,1331,1573,530,2230,1127,2311,2192,2299,289,100,97,89,102,98,87,99,101,88,83,91])).
% 117.27/117.30  cnf(2329,plain,
% 117.27/117.30     (~P4(a1,a7,a2,a8,a1,a6,a7,a7)),
% 117.27/117.30     inference(scs_inference,[],[1035,1331,1508,1573,530,2230,1127,2311,2192,2299,289,100,97,89,102,98,87,99,101,88,83,91,94])).
% 117.27/117.30  cnf(2331,plain,
% 117.27/117.30     (~P4(a7,a1,a2,a8,a1,a6,a7,a7)),
% 117.27/117.30     inference(scs_inference,[],[1035,1331,1508,1573,530,2230,1127,2311,2192,2299,289,100,97,89,102,98,87,99,101,88,83,91,94,92])).
% 117.27/117.30  cnf(2335,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a2,a1,a2,a7)),
% 117.27/117.30     inference(scs_inference,[],[1035,1331,1508,1360,1573,530,2230,1127,2311,2192,2299,289,100,97,89,102,98,87,99,101,88,83,91,94,92,90,84])).
% 117.27/117.30  cnf(2337,plain,
% 117.27/117.30     (~P4(a8,a7,a2,a7,a1,a4,a2,a7)),
% 117.27/117.30     inference(scs_inference,[],[1035,1331,1508,1360,1573,530,2230,1127,2311,2192,2299,289,100,97,89,102,98,87,99,101,88,83,91,94,92,90,84,93])).
% 117.27/117.30  cnf(2341,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a7,a1,a3,a7,x23411)),
% 117.27/117.30     inference(scs_inference,[],[1035,1331,1508,1360,1573,1792,530,2230,1127,2311,1807,2192,2299,289,100,97,89,102,98,87,99,101,88,83,91,94,92,90,84,93,85,86])).
% 117.27/117.30  cnf(2343,plain,
% 117.27/117.30     (P4(a6,a7,a7,a8,a7,a8,a7,a7)),
% 117.27/117.30     inference(scs_inference,[],[1035,1331,1508,1360,1573,1792,530,2230,2301,1127,2311,1807,2192,2299,57,289,100,97,89,102,98,87,99,101,88,83,91,94,92,90,84,93,85,86,104])).
% 117.27/117.30  cnf(2345,plain,
% 117.27/117.30     (P4(a6,a7,a7,a2,a8,a1,a7,a6)),
% 117.27/117.30     inference(scs_inference,[],[1035,1331,1508,1360,1573,1792,530,2230,2301,1127,2311,1807,2192,2299,60,57,289,100,97,89,102,98,87,99,101,88,83,91,94,92,90,84,93,85,86,104,108])).
% 117.27/117.30  cnf(2347,plain,
% 117.27/117.30     (P4(a6,a7,a7,a2,a8,a1,a6,a7)),
% 117.27/117.30     inference(scs_inference,[],[1035,1331,1508,1360,1573,1792,530,2230,2301,1127,2311,1807,2192,2299,60,57,289,100,97,89,102,98,87,99,101,88,83,91,94,92,90,84,93,85,86,104,108,103])).
% 117.27/117.30  cnf(2349,plain,
% 117.27/117.30     (P4(a6,a1,a7,a2,a1,a4,a6,a6)),
% 117.27/117.30     inference(scs_inference,[],[1035,1331,1508,1360,1573,1792,530,2230,2245,2301,1127,2311,1807,2192,2299,60,57,289,100,97,89,102,98,87,99,101,88,83,91,94,92,90,84,93,85,86,104,108,103,107])).
% 117.27/117.30  cnf(2351,plain,
% 117.27/117.30     (~P4(a1,a7,a2,a7,a7,a7,a7,a7)),
% 117.27/117.30     inference(scs_inference,[],[1035,1331,1508,1360,1573,1792,530,2230,2245,2301,1127,2311,1807,2192,2194,2299,60,29,57,289,100,97,89,102,98,87,99,101,88,83,91,94,92,90,84,93,85,86,104,108,103,107,109])).
% 117.27/117.30  cnf(2353,plain,
% 117.27/117.30     (P4(a7,a7,a7,a2,a5,a3,a6,a7)),
% 117.27/117.30     inference(scs_inference,[],[1035,1331,1508,1360,1573,1792,530,1025,2230,2245,2301,1127,2311,1807,2192,2194,2299,60,29,57,61,289,100,97,89,102,98,87,99,101,88,83,91,94,92,90,84,93,85,86,104,108,103,107,109,112])).
% 117.27/117.30  cnf(2355,plain,
% 117.27/117.30     (P4(a7,a7,a7,a2,a6,a4,a6,a7)),
% 117.27/117.30     inference(scs_inference,[],[1035,1331,1508,1360,1573,1792,530,1025,2230,2245,2301,1127,2311,1807,2192,2194,2299,60,29,57,61,69,289,100,97,89,102,98,87,99,101,88,83,91,94,92,90,84,93,85,86,104,108,103,107,109,112,111])).
% 117.27/117.30  cnf(2357,plain,
% 117.27/117.30     (P4(a6,a7,a7,a8,a8,a1,a7,a7)),
% 117.27/117.30     inference(scs_inference,[],[1035,1331,1508,1360,1573,1792,530,1025,2230,2245,2301,1127,2311,1807,2192,2194,2299,60,29,57,61,69,289,100,97,89,102,98,87,99,101,88,83,91,94,92,90,84,93,85,86,104,108,103,107,109,112,111,575])).
% 117.27/117.30  cnf(2359,plain,
% 117.27/117.30     (P4(a7,a7,a7,a2,a1,a4,a6,a7)),
% 117.27/117.30     inference(scs_inference,[],[1035,1331,1508,1360,1573,1792,530,1025,2230,2245,2301,1127,2311,1807,2192,2194,2299,60,29,57,61,69,289,100,97,89,102,98,87,99,101,88,83,91,94,92,90,84,93,85,86,104,108,103,107,109,112,111,575,462])).
% 117.27/117.30  cnf(2362,plain,
% 117.27/117.30     (P4(a7,a8,a7,a2,a4,a6,a6,a7)),
% 117.27/117.30     inference(scs_inference,[],[1069,100])).
% 117.27/117.30  cnf(2364,plain,
% 117.27/117.30     (~P4(a7,a7,a8,a7,a2,a2,a6,a2)),
% 117.27/117.30     inference(scs_inference,[],[1069,1366,100,89])).
% 117.27/117.30  cnf(2367,plain,
% 117.27/117.30     (P4(a6,a7,a1,a2,a5,a4,a7,a6)),
% 117.27/117.30     inference(scs_inference,[],[1069,1366,2224,100,89,97])).
% 117.27/117.30  cnf(2369,plain,
% 117.27/117.30     (P4(a7,a7,a8,a2,a4,a6,a6,a7)),
% 117.27/117.30     inference(scs_inference,[],[1069,1366,2224,100,89,97,98])).
% 117.27/117.30  cnf(2373,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a7,a8,a7,a7)),
% 117.27/117.30     inference(scs_inference,[],[1069,644,2222,1366,2224,100,89,97,98,102,87])).
% 117.27/117.30  cnf(2379,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a4,a8,a2,a7)),
% 117.27/117.30     inference(scs_inference,[],[1069,1660,644,2222,1366,2176,2224,100,89,97,98,102,87,99,101,83])).
% 117.27/117.30  cnf(2381,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a1,a7,a8,a7,a7)),
% 117.27/117.30     inference(scs_inference,[],[1069,1660,644,2222,1366,2176,2224,100,89,97,98,102,87,99,101,83,88])).
% 117.27/117.30  cnf(2383,plain,
% 117.27/117.30     (~P4(a1,a7,a2,a8,a1,a3,a7,a7)),
% 117.27/117.30     inference(scs_inference,[],[1069,1679,1660,644,2222,1366,2176,2224,100,89,97,98,102,87,99,101,83,88,94])).
% 117.27/117.30  cnf(2385,plain,
% 117.27/117.30     (~P4(a7,a8,a2,a7,a1,a5,a6,a7)),
% 117.27/117.30     inference(scs_inference,[],[1069,1489,1679,1660,644,2222,1366,2176,2224,100,89,97,98,102,87,99,101,83,88,94,91])).
% 117.27/117.30  cnf(2387,plain,
% 117.27/117.30     (~P4(a7,a1,a2,a8,a1,a3,a7,a7)),
% 117.27/117.30     inference(scs_inference,[],[1069,1489,1679,1660,644,2222,1366,2176,2224,100,89,97,98,102,87,99,101,83,88,94,91,92])).
% 117.27/117.30  cnf(2393,plain,
% 117.27/117.30     (~P4(a8,a7,a2,a7,a1,a5,a6,a7)),
% 117.27/117.30     inference(scs_inference,[],[1069,1489,1521,1679,1660,1801,644,2222,1366,2176,2224,100,89,97,98,102,87,99,101,83,88,94,91,92,90,84,93])).
% 117.27/117.30  cnf(2397,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a1,a1,a2,a7)),
% 117.27/117.30     inference(scs_inference,[],[1069,1489,1521,1679,1717,1660,1801,644,2222,1366,2176,2224,2335,100,89,97,98,102,87,99,101,83,88,94,91,92,90,84,93,85,86])).
% 117.27/117.30  cnf(2399,plain,
% 117.27/117.30     (P4(a7,a7,a7,a2,a5,a8,a6,a6)),
% 117.27/117.30     inference(scs_inference,[],[1069,1489,1521,1679,1717,1660,1801,644,2222,1366,2176,2220,2224,2335,60,100,89,97,98,102,87,99,101,83,88,94,91,92,90,84,93,85,86,104])).
% 117.27/117.30  cnf(2401,plain,
% 117.27/117.30     (P4(a7,a7,a7,a1,a8,a1,a2,a6)),
% 117.27/117.30     inference(scs_inference,[],[1069,1489,1521,1679,1717,1660,1801,644,2304,2222,1366,2176,2220,2224,2335,60,100,89,97,98,102,87,99,101,83,88,94,91,92,90,84,93,85,86,104,108])).
% 117.27/117.30  cnf(2405,plain,
% 117.27/117.30     (P4(a6,a7,a7,a1,a1,a4,a7,a6)),
% 117.27/117.30     inference(scs_inference,[],[1069,1489,1521,1679,1717,1660,1801,644,2234,2304,2222,1366,2176,2220,2224,2285,2335,60,57,100,89,97,98,102,87,99,101,83,88,94,91,92,90,84,93,85,86,104,108,103,107])).
% 117.27/117.30  cnf(2407,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a1,a7,a7,a7,a7)),
% 117.27/117.30     inference(scs_inference,[],[1069,1489,1521,1679,1717,1660,1801,644,2234,2304,2222,1366,2176,2220,2224,2285,2335,60,30,57,100,89,97,98,102,87,99,101,83,88,94,91,92,90,84,93,85,86,104,108,103,107,106])).
% 117.27/117.30  cnf(2409,plain,
% 117.27/117.30     (P4(a6,a7,a1,a2,a1,a3,a7,a6)),
% 117.27/117.30     inference(scs_inference,[],[1069,1489,1521,1679,1717,1660,1801,644,2234,2304,2222,1366,2176,2220,2224,2247,2285,2335,60,36,30,57,100,89,97,98,102,87,99,101,83,88,94,91,92,90,84,93,85,86,104,108,103,107,106,109])).
% 117.27/117.30  cnf(2411,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a7,a1,a5,a7,x24111)),
% 117.27/117.30     inference(scs_inference,[],[1069,1489,1521,1679,1717,1660,1801,644,2234,2304,2222,1366,2281,2176,2220,2224,2247,2285,2335,60,36,30,57,71,100,89,97,98,102,87,99,101,83,88,94,91,92,90,84,93,85,86,104,108,103,107,106,109,112])).
% 117.27/117.30  cnf(2413,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a7,a5,a8,a7,a7)),
% 117.27/117.30     inference(scs_inference,[],[1069,1489,1521,1679,1717,1660,1801,644,2234,2304,2222,1366,2281,2176,2220,2224,2247,2285,2335,60,36,30,57,71,72,100,89,97,98,102,87,99,101,83,88,94,91,92,90,84,93,85,86,104,108,103,107,106,109,112,111])).
% 117.27/117.30  cnf(2415,plain,
% 117.27/117.30     (P4(a6,a1,a1,a2,a1,a4,a7,a6)),
% 117.27/117.30     inference(scs_inference,[],[1069,1489,1521,1679,1717,1660,1801,644,2234,2304,2222,1366,2281,2176,2220,2224,2247,2285,2335,60,36,30,57,71,72,100,89,97,98,102,87,99,101,83,88,94,91,92,90,84,93,85,86,104,108,103,107,106,109,112,111,462])).
% 117.27/117.30  cnf(2418,plain,
% 117.27/117.30     (P4(a7,a8,a7,a2,a5,a5,a6,a7)),
% 117.27/117.30     inference(scs_inference,[],[1016,100])).
% 117.27/117.30  cnf(2420,plain,
% 117.27/117.30     (~P4(a7,a7,a8,a7,a2,a6,a6,a2)),
% 117.27/117.30     inference(scs_inference,[],[1016,1373,100,89])).
% 117.27/117.30  cnf(2421,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a7,a2,a6,a6,x24211)),
% 117.27/117.30     inference(rename_variables,[],[1373])).
% 117.27/117.30  cnf(2423,plain,
% 117.27/117.30     (P4(a6,a7,a1,a8,a8,a1,a7,a7)),
% 117.27/117.30     inference(scs_inference,[],[1016,2357,1373,100,89,97])).
% 117.27/117.30  cnf(2425,plain,
% 117.27/117.30     (P4(a7,a7,a8,a2,a5,a5,a6,a7)),
% 117.27/117.30     inference(scs_inference,[],[1016,2357,1373,100,89,97,98])).
% 117.27/117.30  cnf(2427,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a8,a5,a7,a7,a1)),
% 117.27/117.30     inference(scs_inference,[],[1016,2357,1373,2323,100,89,97,98,87])).
% 117.27/117.30  cnf(2430,plain,
% 117.27/117.30     (P4(a8,a7,a7,a2,a5,a5,a6,a7)),
% 117.27/117.30     inference(scs_inference,[],[1016,2357,1373,2323,100,89,97,98,87,102])).
% 117.27/117.30  cnf(2432,plain,
% 117.27/117.30     (P4(a6,a1,a7,a8,a8,a1,a7,a7)),
% 117.27/117.30     inference(scs_inference,[],[1016,2357,1373,2323,100,89,97,98,87,102,99])).
% 117.27/117.30  cnf(2436,plain,
% 117.27/117.30     (P4(a1,a7,a1,a2,a1,a4,a6,a6)),
% 117.27/117.30     inference(scs_inference,[],[1945,1016,2357,1373,2323,2289,100,89,97,98,87,102,99,83,101])).
% 117.27/117.30  cnf(2438,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a1,a5,a6,a7,x24381)),
% 117.27/117.30     inference(scs_inference,[],[1945,1016,2357,1373,1425,2323,2289,100,89,97,98,87,102,99,83,101,88])).
% 117.27/117.30  cnf(2440,plain,
% 117.27/117.30     (~P4(a1,a7,a2,a8,a6,a5,a7,a7)),
% 117.27/117.30     inference(scs_inference,[],[1741,1945,1016,2357,1373,1425,2323,2289,100,89,97,98,87,102,99,83,101,88,94])).
% 117.27/117.30  cnf(2442,plain,
% 117.27/117.30     (~P4(a7,a8,a2,a8,a1,a3,a2,a7)),
% 117.27/117.30     inference(scs_inference,[],[1683,1741,1945,1016,2357,1373,1425,2323,2289,100,89,97,98,87,102,99,83,101,88,94,91])).
% 117.27/117.30  cnf(2444,plain,
% 117.27/117.30     (~P4(a7,a1,a2,a8,a6,a5,a7,a7)),
% 117.27/117.30     inference(scs_inference,[],[1683,1741,1945,1016,2357,1373,1425,2323,2289,100,89,97,98,87,102,99,83,101,88,94,91,92])).
% 117.27/117.30  cnf(2446,plain,
% 117.27/117.30     (~P4(a7,a7,a1,a8,a1,a3,a2,a7)),
% 117.27/117.30     inference(scs_inference,[],[1683,1741,1945,1016,2357,1373,1425,2323,2289,100,89,97,98,87,102,99,83,101,88,94,91,92,90])).
% 117.27/117.30  cnf(2450,plain,
% 117.27/117.30     (~P4(a8,a7,a2,a8,a1,a3,a2,a7)),
% 117.27/117.30     inference(scs_inference,[],[1683,1741,1945,1930,1016,2357,1373,1425,2323,2289,100,89,97,98,87,102,99,83,101,88,94,91,92,90,84,93])).
% 117.27/117.30  cnf(2452,plain,
% 117.27/117.30     (~P4(a7,a7,a2,a7,a8,a6,a6,a2)),
% 117.27/117.30     inference(scs_inference,[],[1683,1741,1945,1930,1016,2357,1373,2421,1425,2323,2289,100,89,97,98,87,102,99,83,101,88,94,91,92,90,84,93,85])).
% 117.27/117.30  cnf(2457,plain,
% 117.27/117.30     (P4(a6,a7,a7,a8,a7,a8,a7,a6)),
% 117.27/117.30     inference(scs_inference,[],[1683,1741,1945,1930,1016,2357,1373,2421,1425,2323,2289,2343,2381,60,100,89,97,98,87,102,99,83,101,88,94,91,92,90,84,93,85,86,104])).
% 117.27/117.30  cnf(2461,plain,
% 117.27/117.30     (P4(a6,a7,a7,a8,a8,a1,a6,a7)),
% 117.27/117.30     inference(scs_inference,[],[1683,1741,1945,1930,1016,2297,2357,1373,2421,1425,2323,2289,2343,2381,60,100,89,97,98,87,102,99,83,101,88,94,91,92,90,84,93,85,86,104,108,103])).
% 117.27/117.30  cnf(2463,plain,
% 117.27/117.30     (P4(a6,a1,a1,a2,a1,a4,a6,a6)),
% 117.27/117.31     inference(scs_inference,[],[1683,1741,1945,1930,1016,2297,2357,2415,1373,2421,1425,2323,2289,2343,2381,60,100,89,97,98,87,102,99,83,101,88,94,91,92,90,84,93,85,86,104,108,103,107])).
% 117.27/117.31  cnf(2465,plain,
% 117.27/117.31     (P4(a7,a8,a7,a2,a5,a8,a6,a7)),
% 117.27/117.31     inference(scs_inference,[],[1683,1741,1945,1930,1016,2297,2357,2415,1373,2421,1425,2323,2174,2289,2343,2381,51,60,100,89,97,98,87,102,99,83,101,88,94,91,92,90,84,93,85,86,104,108,103,107,106])).
% 117.27/117.31  cnf(2467,plain,
% 117.27/117.31     (~P4(a7,a8,a2,a7,a7,a7,a7,a7)),
% 117.27/117.31     inference(scs_inference,[],[1683,1741,1945,1930,1016,2297,2357,2415,1373,2421,1425,2323,2174,2198,2289,2343,2381,51,29,60,100,89,97,98,87,102,99,83,101,88,94,91,92,90,84,93,85,86,104,108,103,107,106,109])).
% 117.27/117.31  cnf(2469,plain,
% 117.27/117.31     (P4(a7,a7,a7,a2,a4,a3,a6,a7)),
% 117.27/117.31     inference(scs_inference,[],[1683,1741,1945,1930,1016,1028,2297,2357,2415,1373,2421,1425,2323,2174,2198,2289,2343,2381,51,29,60,61,100,89,97,98,87,102,99,83,101,88,94,91,92,90,84,93,85,86,104,108,103,107,106,109,112])).
% 117.27/117.31  cnf(2471,plain,
% 117.27/117.31     (P4(a7,a7,a7,a2,a2,a5,a6,a7)),
% 117.27/117.31     inference(scs_inference,[],[1683,1741,1945,1930,1016,1028,2297,2357,2415,1373,2421,1425,2323,2174,2198,2289,2343,2381,51,29,60,71,61,100,89,97,98,87,102,99,83,101,88,94,91,92,90,84,93,85,86,104,108,103,107,106,109,112,111])).
% 117.27/117.31  cnf(2473,plain,
% 117.27/117.31     (P4(a7,a8,a7,a2,a4,a1,a6,a7)),
% 117.27/117.31     inference(scs_inference,[],[1683,1741,1945,1930,1016,1028,2297,2357,2415,1373,2421,1425,2323,2174,2198,2289,2343,2362,2381,51,29,60,43,71,61,100,89,97,98,87,102,99,83,101,88,94,91,92,90,84,93,85,86,104,108,103,107,106,109,112,111,105])).
% 117.27/117.31  cnf(2478,plain,
% 117.27/117.31     (P4(a7,a8,a7,a2,a1,a4,a6,a7)),
% 117.27/117.31     inference(scs_inference,[],[2359,100])).
% 117.27/117.31  cnf(2483,plain,
% 117.27/117.31     (P4(a6,a7,a1,a2,a4,a4,a7,a6)),
% 117.27/117.31     inference(scs_inference,[],[2359,1379,2226,100,89,97])).
% 117.27/117.31  cnf(2485,plain,
% 117.27/117.31     (P4(a7,a7,a8,a2,a1,a4,a6,a7)),
% 117.27/117.31     inference(scs_inference,[],[2359,1379,2226,100,89,97,98])).
% 117.27/117.31  cnf(2487,plain,
% 117.27/117.31     (P4(a8,a7,a7,a2,a1,a4,a6,a7)),
% 117.27/117.31     inference(scs_inference,[],[2359,1379,2226,100,89,97,98,102])).
% 117.27/117.31  cnf(2489,plain,
% 117.27/117.31     (~P4(a7,a7,a2,a8,a5,a6,a7,a1)),
% 117.27/117.31     inference(scs_inference,[],[2359,1379,2438,2226,100,89,97,98,102,87])).
% 117.27/117.31  cnf(2492,plain,
% 117.27/117.31     (P4(a6,a1,a7,a2,a4,a4,a7,a6)),
% 117.27/117.31     inference(scs_inference,[],[2359,1379,2438,2226,100,89,97,98,102,87,99])).
% 117.27/117.31  cnf(2494,plain,
% 117.27/117.31     (~P4(a7,a7,a2,a8,a5,a8,a2,a7)),
% 117.27/117.31     inference(scs_inference,[],[1344,2359,1379,2438,2226,100,89,97,98,102,87,99,83])).
% 117.27/117.31  cnf(2496,plain,
% 117.27/117.31     (P4(a1,a7,a7,a2,a8,a1,a6,a7)),
% 117.27/117.31     inference(scs_inference,[],[1344,2359,1379,2438,2226,2347,100,89,97,98,102,87,99,83,101])).
% 117.27/117.31  cnf(2498,plain,
% 117.27/117.31     (~P4(a1,a7,a2,a8,a6,a4,a7,a7)),
% 117.27/117.31     inference(scs_inference,[],[1784,1344,2359,1379,2438,2226,2347,100,89,97,98,102,87,99,83,101,94])).
% 117.27/117.31  cnf(2500,plain,
% 117.27/117.31     (~P4(a7,a7,a2,a1,a6,a5,a7,x25001)),
% 117.27/117.31     inference(scs_inference,[],[1784,1344,2359,1379,1633,2438,2226,2347,100,89,97,98,102,87,99,83,101,94,88])).
% 117.27/117.31  cnf(2502,plain,
% 117.27/117.31     (~P4(a7,a8,a2,a7,a1,a3,a2,a7)),
% 117.27/117.31     inference(scs_inference,[],[1690,1784,1344,2359,1379,1633,2438,2226,2347,100,89,97,98,102,87,99,83,101,94,88,91])).
% 117.27/117.31  cnf(2504,plain,
% 117.27/117.31     (~P4(a7,a1,a2,a8,a6,a4,a7,a7)),
% 117.27/117.31     inference(scs_inference,[],[1690,1784,1344,2359,1379,1633,2438,2226,2347,100,89,97,98,102,87,99,83,101,94,88,91,92])).
% 117.27/117.31  cnf(2510,plain,
% 117.27/117.31     (~P4(a8,a7,a2,a7,a1,a3,a2,a7)),
% 117.27/117.31     inference(scs_inference,[],[1690,1784,1344,1762,2359,1379,1633,2438,2226,2347,100,89,97,98,102,87,99,83,101,94,88,91,92,90,84,93])).
% 117.27/117.31  cnf(2514,plain,
% 117.27/117.31     (~P4(a7,a7,a2,a7,a1,a3,a6,x25141)),
% 117.27/117.31     inference(scs_inference,[],[1690,1784,1344,1762,2359,2407,1379,1633,2438,2226,2347,1186,100,89,97,98,102,87,99,83,101,94,88,91,92,90,84,93,85,86])).
% 117.27/117.31  cnf(2516,plain,
% 117.27/117.31     (P4(a6,a7,a7,a2,a1,a8,a7,a2)),
% 117.27/117.31     inference(scs_inference,[],[1690,1784,1344,1762,2359,2407,1379,1633,2438,2226,2291,2347,1186,59,100,89,97,98,102,87,99,83,101,94,88,91,92,90,84,93,85,86,104])).
% 117.27/117.31  cnf(2518,plain,
% 117.27/117.31     (P4(a6,a7,a1,a2,a8,a1,a7,a2)),
% 117.27/117.31     inference(scs_inference,[],[1690,1784,1344,1762,2359,2407,1379,1633,2438,2226,2291,2308,2347,1186,59,100,89,97,98,102,87,99,83,101,94,88,91,92,90,84,93,85,86,104,108])).
% 117.27/117.31  cnf(2520,plain,
% 117.27/117.31     (P4(a6,a7,a1,a2,a8,a1,a2,a7)),
% 117.27/117.31     inference(scs_inference,[],[1690,1784,1344,1762,2359,2407,1379,1633,2438,2226,2291,2308,2347,1186,59,100,89,97,98,102,87,99,83,101,94,88,91,92,90,84,93,85,86,104,108,103])).
% 117.27/117.31  cnf(2522,plain,
% 117.27/117.31     (P4(a7,a7,a7,a2,a1,a4,a7,a7)),
% 117.27/117.31     inference(scs_inference,[],[1690,1784,1344,1762,2359,2407,1379,1633,2438,2226,2291,2308,2347,1186,59,58,100,89,97,98,102,87,99,83,101,94,88,91,92,90,84,93,85,86,104,108,103,107])).
% 117.27/117.31  cnf(2524,plain,
% 117.27/117.31     (P4(a6,a1,a7,a2,a1,a3,a7,a6)),
% 117.27/117.31     inference(scs_inference,[],[1690,1784,1344,1762,2359,2407,1379,1633,2438,2226,2259,2291,2308,2347,1186,36,59,58,100,89,97,98,102,87,99,83,101,94,88,91,92,90,84,93,85,86,104,108,103,107,109])).
% 117.27/117.31  cnf(2526,plain,
% 117.27/117.31     (~P4(a7,a7,a2,a1,a7,a5,a7,a7)),
% 117.27/117.31     inference(scs_inference,[],[1690,1784,1344,1762,2359,2407,1379,1633,2438,2226,2259,2291,2308,2347,1186,36,59,58,72,100,89,97,98,102,87,99,83,101,94,88,91,92,90,84,93,85,86,104,108,103,107,109,112])).
% 117.27/117.31  cnf(2530,plain,
% 117.27/117.31     (P4(a6,a7,a1,a1,a8,a1,a2,a7)),
% 117.27/117.31     inference(scs_inference,[],[1690,1784,1344,1762,2359,2183,2407,1379,1633,2438,2226,2259,2291,2308,2347,1186,36,59,58,71,72,100,89,97,98,102,87,99,83,101,94,88,91,92,90,84,93,85,86,104,108,103,107,109,112,111,95])).
% 117.27/117.31  cnf(2532,plain,
% 117.27/117.31     (P4(a6,a7,a7,a8,a1,a8,a7,a2)),
% 117.27/117.31     inference(scs_inference,[],[1690,1784,1344,1762,2359,2183,2407,1379,1633,2438,2226,2259,2291,2308,2347,1186,36,59,58,71,72,100,89,97,98,102,87,99,83,101,94,88,91,92,90,84,93,85,86,104,108,103,107,109,112,111,95,96])).
% 117.27/117.31  cnf(2535,plain,
% 117.27/117.31     (P4(a7,a8,a7,a2,a4,a5,a6,a7)),
% 117.27/117.31     inference(scs_inference,[],[1019,100])).
% 117.27/117.31  cnf(2537,plain,
% 117.27/117.31     (~P4(a7,a7,a8,a7,a5,a6,a6,a2)),
% 117.27/117.31     inference(scs_inference,[],[1019,1382,100,89])).
% 117.27/117.31  cnf(2538,plain,
% 117.27/117.31     (~P4(a7,a7,a2,a7,a5,a6,a6,x25381)),
% 117.27/117.31     inference(rename_variables,[],[1382])).
% 117.27/117.31  cnf(2540,plain,
% 117.27/117.31     (P4(a6,a7,a1,a8,a1,a8,a7,a2)),
% 117.27/117.31     inference(scs_inference,[],[1019,2532,1382,100,89,97])).
% 117.27/117.31  cnf(2542,plain,
% 117.27/117.31     (P4(a7,a7,a8,a2,a4,a5,a6,a7)),
% 117.27/117.31     inference(scs_inference,[],[1019,2532,1382,100,89,97,98])).
% 117.27/117.31  cnf(2544,plain,
% 117.27/117.31     (~P4(a7,a7,a2,a8,a6,a5,a7,a1)),
% 117.27/117.31     inference(scs_inference,[],[1019,2532,1382,2500,100,89,97,98,87])).
% 117.27/117.31  cnf(2547,plain,
% 117.27/117.31     (P4(a8,a7,a7,a2,a4,a5,a6,a7)),
% 117.27/117.31     inference(scs_inference,[],[1019,2532,1382,2500,100,89,97,98,87,102])).
% 117.27/117.31  cnf(2549,plain,
% 117.27/117.31     (P4(a6,a1,a7,a8,a1,a8,a7,a2)),
% 117.27/117.31     inference(scs_inference,[],[1019,2532,1382,2500,100,89,97,98,87,102,99])).
% 117.27/117.31  cnf(2551,plain,
% 117.27/117.31     (~P4(a7,a7,a2,a8,a6,a8,a2,a7)),
% 117.27/117.31     inference(scs_inference,[],[1578,1019,2532,1382,2500,100,89,97,98,87,102,99,83])).
% 117.27/117.31  cnf(2553,plain,
% 117.27/117.31     (P4(a1,a1,a7,a2,a1,a4,a6,a6)),
% 117.27/117.31     inference(scs_inference,[],[1578,1019,2532,1382,2500,2349,100,89,97,98,87,102,99,83,101])).
% 117.27/117.31  cnf(2555,plain,
% 117.27/117.31     (~P4(a7,a7,a2,a1,a6,a4,a7,x25551)),
% 117.27/117.31     inference(scs_inference,[],[1578,1019,2532,1382,1641,2500,2349,100,89,97,98,87,102,99,83,101,88])).
% 117.27/117.31  cnf(2557,plain,
% 117.27/117.31     (~P4(a1,a7,a2,a8,a6,a2,a7,a7)),
% 117.27/117.31     inference(scs_inference,[],[1578,1877,1019,2532,1382,1641,2500,2349,100,89,97,98,87,102,99,83,101,88,94])).
% 117.27/117.31  cnf(2559,plain,
% 117.27/117.31     (~P4(a7,a8,a2,a7,a1,a2,a6,a7)),
% 117.27/117.31     inference(scs_inference,[],[1697,1578,1877,1019,2532,1382,1641,2500,2349,100,89,97,98,87,102,99,83,101,88,94,91])).
% 117.27/117.31  cnf(2561,plain,
% 117.27/117.31     (~P4(a7,a1,a2,a8,a6,a2,a7,a7)),
% 117.27/117.31     inference(scs_inference,[],[1697,1578,1877,1019,2532,1382,1641,2500,2349,100,89,97,98,87,102,99,83,101,88,94,91,92])).
% 117.27/117.31  cnf(2563,plain,
% 117.27/117.31     (~P4(a7,a7,a1,a8,a2,a3,a2,a7)),
% 117.27/117.31     inference(scs_inference,[],[1697,1536,1578,1877,1019,2532,1382,1641,2500,2349,100,89,97,98,87,102,99,83,101,88,94,91,92,90])).
% 117.27/117.31  cnf(2567,plain,
% 117.27/117.31     (~P4(a8,a7,a2,a7,a1,a2,a6,a7)),
% 117.27/117.31     inference(scs_inference,[],[1697,1536,1578,1877,1019,2196,2532,1382,1641,2500,2349,100,89,97,98,87,102,99,83,101,88,94,91,92,90,84,93])).
% 117.27/117.31  cnf(2569,plain,
% 117.27/117.31     (~P4(a7,a7,a2,a7,a8,a6,a6,a5)),
% 117.27/117.31     inference(scs_inference,[],[1697,1536,1578,1877,1019,2196,2532,1382,2538,1641,2500,2349,100,89,97,98,87,102,99,83,101,88,94,91,92,90,84,93,85])).
% 117.27/117.31  cnf(2572,plain,
% 117.27/117.31     (~P4(a7,a7,a2,a1,a1,a5,a7,a7)),
% 117.27/117.31     inference(scs_inference,[],[1697,1536,1578,1877,1019,2196,2532,1382,2538,1641,2500,2349,2526,100,89,97,98,87,102,99,83,101,88,94,91,92,90,84,93,85,86])).
% 117.27/117.31  cnf(2574,plain,
% 117.27/117.31     (P4(a6,a7,a1,a8,a8,a1,a7,a2)),
% 117.27/117.31     inference(scs_inference,[],[1697,1536,1578,1877,1019,2196,2532,1382,2538,1641,2500,2349,2518,2526,100,89,97,98,87,102,99,83,101,88,94,91,92,90,84,93,85,86,96])).
% 117.27/117.31  cnf(2576,plain,
% 117.27/117.31     (P4(a6,a7,a7,a8,a1,a8,a7,a7)),
% 117.27/117.31     inference(scs_inference,[],[1697,1536,1578,1877,1019,2196,2532,1382,2538,1641,2500,2349,2518,2526,57,100,89,97,98,87,102,99,83,101,88,94,91,92,90,84,93,85,86,96,104])).
% 117.27/117.31  cnf(2578,plain,
% 117.27/117.31     (P4(a6,a1,a7,a2,a8,a1,a7,a2)),
% 117.27/117.31     inference(scs_inference,[],[1697,1536,1578,1877,1019,2196,2532,1382,2538,1641,2500,2319,2349,2518,2526,57,59,100,89,97,98,87,102,99,83,101,88,94,91,92,90,84,93,85,86,96,104,108])).
% 117.27/117.31  cnf(2580,plain,
% 117.27/117.31     (P4(a7,a7,a7,a1,a8,a1,a7,a6)),
% 117.27/117.31     inference(scs_inference,[],[1697,1536,1578,1877,1019,2196,2401,2532,1382,2538,1641,2500,2319,2349,2518,2526,57,59,100,89,97,98,87,102,99,83,101,88,94,91,92,90,84,93,85,86,96,104,108,103])).
% 117.27/117.31  cnf(2582,plain,
% 117.27/117.31     (P4(a6,a7,a7,a8,a1,a8,a2,a2)),
% 117.27/117.31     inference(scs_inference,[],[1697,1536,1578,1877,1019,2196,2401,2532,1382,2538,1641,2500,2319,2349,2518,2526,57,59,100,89,97,98,87,102,99,83,101,88,94,91,92,90,84,93,85,86,96,104,108,103,107])).
% 117.27/117.31  cnf(2584,plain,
% 117.27/117.31     (~P4(a7,a1,a2,a7,a7,a7,a7,a7)),
% 117.27/117.31     inference(scs_inference,[],[1697,1536,1578,1877,1019,2196,2401,2532,1382,2538,1641,2500,2200,2319,2349,2518,2526,29,57,59,100,89,97,98,87,102,99,83,101,88,94,91,92,90,84,93,85,86,96,104,108,103,107,109])).
% 117.27/117.31  cnf(2586,plain,
% 117.27/117.31     (P4(a8,a7,a7,a2,a2,a3,a6,a6)),
% 117.27/117.31     inference(scs_inference,[],[1697,1536,1578,1877,1019,2196,2401,2532,1382,2538,1641,2500,2181,2200,2319,2349,2518,2526,29,57,59,61,100,89,97,98,87,102,99,83,101,88,94,91,92,90,84,93,85,86,96,104,108,103,107,109,112])).
% 117.27/117.31  cnf(2588,plain,
% 117.27/117.31     (P4(a7,a7,a7,a2,a6,a5,a6,a7)),
% 117.27/117.31     inference(scs_inference,[],[1697,1536,1578,1877,1019,2196,2401,2532,1382,2538,1641,2500,2181,2200,2319,2349,2518,2526,29,57,59,61,69,100,89,97,98,87,102,99,83,101,88,94,91,92,90,84,93,85,86,96,104,108,103,107,109,112,111])).
% 117.27/117.31  cnf(2590,plain,
% 117.27/117.31     (P4(a7,a7,a7,a2,a1,a5,a6,a7)),
% 117.27/117.31     inference(scs_inference,[],[1697,1536,1578,1877,1019,2196,2401,2532,1382,2538,1641,2500,2181,2200,2319,2349,2518,2526,29,57,59,61,69,100,89,97,98,87,102,99,83,101,88,94,91,92,90,84,93,85,86,96,104,108,103,107,109,112,111,417])).
% 117.27/117.31  cnf(2592,plain,
% 117.27/117.31     (P4(a7,a7,a8,a2,a5,a8,a6,a7)),
% 117.27/117.31     inference(scs_inference,[],[1697,1536,1578,1877,1019,2196,2401,2532,1382,2538,1641,2500,2181,2186,2200,2319,2349,2518,2526,51,29,57,59,61,69,100,89,97,98,87,102,99,83,101,88,94,91,92,90,84,93,85,86,96,104,108,103,107,109,112,111,417,106])).
% 117.27/117.31  cnf(2595,plain,
% 117.27/117.31     (P4(a7,a8,a7,a2,a5,a1,a6,a7)),
% 117.27/117.31     inference(scs_inference,[],[2236,100])).
% 117.27/117.31  cnf(2597,plain,
% 117.27/117.31     (~P4(a7,a7,a8,a7,a2,a7,a6,a2)),
% 117.27/117.31     inference(scs_inference,[],[2236,1390,100,89])).
% 117.27/117.31  cnf(2598,plain,
% 117.27/117.31     (~P4(a7,a7,a2,a7,a2,a7,a6,x25981)),
% 117.27/117.31     inference(rename_variables,[],[1390])).
% 117.27/117.31  cnf(2600,plain,
% 117.27/117.31     (P4(a6,a7,a1,a2,a8,a1,a7,a6)),
% 117.27/117.31     inference(scs_inference,[],[2236,1390,2345,100,89,97])).
% 117.27/117.31  cnf(2602,plain,
% 117.27/117.31     (P4(a7,a7,a8,a2,a5,a1,a6,a7)),
% 117.27/117.31     inference(scs_inference,[],[2236,1390,2345,100,89,97,98])).
% 117.27/117.31  cnf(2604,plain,
% 117.27/117.31     (P4(a8,a7,a7,a2,a5,a1,a6,a7)),
% 117.27/117.31     inference(scs_inference,[],[2236,1390,2345,100,89,97,98,102])).
% 117.27/117.31  cnf(2606,plain,
% 117.27/117.31     (~P4(a7,a7,a2,a8,a6,a4,a7,a1)),
% 117.27/117.31     inference(scs_inference,[],[2236,1390,2555,2345,100,89,97,98,102,87])).
% 117.27/117.31  cnf(2609,plain,
% 117.27/117.31     (P4(a6,a1,a7,a2,a8,a1,a7,a6)),
% 117.27/117.31     inference(scs_inference,[],[2236,1390,2555,2345,100,89,97,98,102,87,99])).
% 117.27/117.31  cnf(2611,plain,
% 117.27/117.31     (~P4(a1,a7,a2,a8,a3,a5,a7,a7)),
% 117.27/117.31     inference(scs_inference,[],[1915,2236,1390,2555,2345,100,89,97,98,102,87,99,94])).
% 117.27/117.31  cnf(2613,plain,
% 117.27/117.31     (~P4(a7,a7,a2,a7,a2,a8,a6,a7)),
% 117.27/117.31     inference(scs_inference,[],[1915,2236,1390,2598,2555,2345,100,89,97,98,102,87,99,94,83])).
% 117.27/117.31  cnf(2616,plain,
% 117.27/117.31     (~P4(a7,a7,a2,a1,a5,a3,a7,x26161)),
% 117.27/117.31     inference(scs_inference,[],[1915,2236,1390,2598,1645,2555,2345,100,89,97,98,102,87,99,94,83,88])).
% 117.27/117.31  cnf(2618,plain,
% 117.27/117.31     (P4(a1,a7,a7,a8,a8,a1,a6,a7)),
% 117.27/117.31     inference(scs_inference,[],[1915,2236,1390,2598,1645,2555,2345,2461,100,89,97,98,102,87,99,94,83,88,101])).
% 117.27/117.31  cnf(2620,plain,
% 117.27/117.31     (~P4(a7,a8,a2,a8,a2,a6,a6,a7)),
% 117.27/117.31     inference(scs_inference,[],[1892,1915,2236,1390,2598,1645,2555,2345,2461,100,89,97,98,102,87,99,94,83,88,101,91])).
% 117.27/117.31  cnf(2622,plain,
% 117.27/117.31     (~P4(a7,a1,a2,a8,a3,a5,a7,a7)),
% 117.27/117.31     inference(scs_inference,[],[1892,1915,2236,1390,2598,1645,2555,2345,2461,100,89,97,98,102,87,99,94,83,88,101,91,92])).
% 117.27/117.31  cnf(2624,plain,
% 117.27/117.31     (~P4(a7,a7,a1,a8,a5,a5,a2,a7)),
% 117.27/117.31     inference(scs_inference,[],[1892,1287,1915,2236,1390,2598,1645,2555,2345,2461,100,89,97,98,102,87,99,94,83,88,101,91,92,90])).
% 117.27/117.31  cnf(2626,plain,
% 117.27/117.31     (~P4(a8,a7,a2,a7,a1,a1,a7,a7)),
% 117.27/117.31     inference(scs_inference,[],[1892,1287,1915,2236,1390,2598,1645,2555,2206,2345,2461,100,89,97,98,102,87,99,94,83,88,101,91,92,90,84])).
% 117.27/117.31  cnf(2628,plain,
% 117.27/117.31     (~P4(a8,a7,a2,a8,a2,a6,a6,a7)),
% 117.27/117.31     inference(scs_inference,[],[1892,1287,1915,2236,1390,2598,1645,2555,2206,2345,2461,100,89,97,98,102,87,99,94,83,88,101,91,92,90,84,93])).
% 117.27/117.31  cnf(2632,plain,
% 117.27/117.31     (~P4(a7,a7,a2,a7,a1,a4,a7,x26321)),
% 117.27/117.31     inference(scs_inference,[],[1892,1287,1915,2236,2373,1390,2598,1645,2555,2206,2345,2461,1353,100,89,97,98,102,87,99,94,83,88,101,91,92,90,84,93,85,86])).
% 117.27/117.31  cnf(2634,plain,
% 117.27/117.31     (P4(a6,a1,a7,a8,a8,a1,a7,a2)),
% 117.27/117.31     inference(scs_inference,[],[1892,1287,1915,2236,2373,1390,2598,1645,2555,2206,2345,2461,2578,1353,100,89,97,98,102,87,99,94,83,88,101,91,92,90,84,93,85,86,96])).
% 117.27/117.31  cnf(2636,plain,
% 117.27/117.31     (P4(a7,a7,a8,a2,a5,a8,a6,a6)),
% 117.27/117.31     inference(scs_inference,[],[1892,1287,1915,2236,2373,2592,1390,2598,1645,2555,2206,2345,2461,2578,1353,60,100,89,97,98,102,87,99,94,83,88,101,91,92,90,84,93,85,86,96,104])).
% 117.27/117.31  cnf(2638,plain,
% 117.27/117.31     (P4(a6,a7,a1,a1,a8,a1,a2,a6)),
% 117.27/117.31     inference(scs_inference,[],[1892,1287,1915,2236,2530,2373,2592,1390,2598,1645,2555,2206,2345,2461,2578,1353,60,100,89,97,98,102,87,99,94,83,88,101,91,92,90,84,93,85,86,96,104,108])).
% 117.27/117.31  cnf(2640,plain,
% 117.27/117.31     (P4(a6,a7,a1,a1,a8,a1,a7,a7)),
% 117.27/117.31     inference(scs_inference,[],[1892,1287,1915,2236,2530,2373,2592,1390,2598,1645,2555,2206,2345,2461,2578,1353,60,57,100,89,97,98,102,87,99,94,83,88,101,91,92,90,84,93,85,86,96,104,108,103])).
% 117.27/117.31  cnf(2642,plain,
% 117.27/117.31     (P4(a6,a7,a7,a1,a1,a4,a6,a6)),
% 117.27/117.31     inference(scs_inference,[],[1892,1287,1915,2236,2530,2373,2592,1390,2598,1645,2555,2206,2345,2405,2461,2578,1353,60,57,100,89,97,98,102,87,99,94,83,88,101,91,92,90,84,93,85,86,96,104,108,103,107])).
% 117.27/117.31  cnf(2644,plain,
% 117.27/117.31     (P4(a6,a7,a7,a8,a1,a8,a7,a6)),
% 117.27/117.31     inference(scs_inference,[],[1892,1287,1915,2236,2530,2373,2592,1390,2598,1645,2555,2206,2345,2405,2457,2461,2578,1353,8,60,57,100,89,97,98,102,87,99,94,83,88,101,91,92,90,84,93,85,86,96,104,108,103,107,109])).
% 117.27/117.31  cnf(2646,plain,
% 117.27/117.31     (~P4(a7,a7,a2,a7,a1,a7,a6,x26461)),
% 117.27/117.31     inference(scs_inference,[],[1892,1287,1915,2236,2530,2373,2592,1390,2598,1645,2293,2555,2206,2345,2405,2457,2461,2578,1353,8,60,57,65,100,89,97,98,102,87,99,94,83,88,101,91,92,90,84,93,85,86,96,104,108,103,107,109,112])).
% 117.27/117.31  cnf(2653,plain,
% 117.27/117.31     (P4(a8,a8,a7,a2,a5,a1,a6,a7)),
% 117.27/117.31     inference(scs_inference,[],[2604,100])).
% 117.27/117.31  cnf(2656,plain,
% 117.27/117.31     (~P4(a7,a7,a2,a7,a7,a4,a6,x26561)),
% 117.27/117.31     inference(rename_variables,[],[1400])).
% 117.27/117.31  cnf(2658,plain,
% 117.27/117.31     (P4(a6,a1,a1,a8,a8,a1,a7,a7)),
% 117.27/117.31     inference(scs_inference,[],[2604,1400,2432,100,89,97])).
% 117.27/117.31  cnf(2660,plain,
% 117.27/117.31     (P4(a8,a7,a8,a2,a5,a1,a6,a7)),
% 117.27/117.31     inference(scs_inference,[],[2604,1400,2432,100,89,97,98])).
% 117.27/117.31  cnf(2662,plain,
% 117.27/117.31     (~P4(a7,a7,a2,a8,a5,a3,a7,a1)),
% 117.27/117.31     inference(scs_inference,[],[2604,1400,2616,2432,100,89,97,98,87])).
% 117.27/117.31  cnf(2665,plain,
% 117.27/117.31     (P4(a8,a7,a7,a2,a1,a5,a6,a7)),
% 117.27/117.31     inference(scs_inference,[],[2604,2590,1400,2616,2432,100,89,97,98,87,102])).
% 117.27/117.31  cnf(2667,plain,
% 117.27/117.31     (P4(a6,a1,a1,a2,a5,a4,a7,a6)),
% 117.27/117.31     inference(scs_inference,[],[2604,2590,1400,2616,2367,2432,100,89,97,98,87,102,99])).
% 117.27/117.31  cnf(2669,plain,
% 117.27/117.31     (P4(a1,a1,a1,a2,a1,a4,a6,a6)),
% 117.27/117.31     inference(scs_inference,[],[2604,2590,1400,2616,2367,2432,2463,100,89,97,98,87,102,99,101])).
% 117.27/117.31  cnf(2671,plain,
% 117.27/117.31     (~P4(a1,a7,a2,a8,a6,a3,a7,a7)),
% 117.27/117.31     inference(scs_inference,[],[1967,2604,2590,1400,2616,2367,2432,2463,100,89,97,98,87,102,99,101,94])).
% 117.27/117.31  cnf(2674,plain,
% 117.27/117.31     (~P4(a7,a7,a2,a7,a7,a4,a6,x26741)),
% 117.27/117.31     inference(rename_variables,[],[1400])).
% 117.27/117.31  cnf(2676,plain,
% 117.27/117.31     (~P4(a7,a7,a2,a1,a4,a2,a7,x26761)),
% 117.27/117.31     inference(scs_inference,[],[1967,2604,2590,1400,2656,1654,2616,2367,2432,2463,100,89,97,98,87,102,99,101,94,83,88])).
% 117.27/117.31  cnf(2678,plain,
% 117.27/117.31     (~P4(a7,a8,a2,a8,a4,a6,a6,a7)),
% 117.27/117.31     inference(scs_inference,[],[1719,1967,2604,2590,1400,2656,1654,2616,2367,2432,2463,100,89,97,98,87,102,99,101,94,83,88,91])).
% 117.27/117.31  cnf(2680,plain,
% 117.27/117.31     (~P4(a7,a1,a2,a8,a6,a3,a7,a7)),
% 117.27/117.31     inference(scs_inference,[],[1719,1967,2604,2590,1400,2656,1654,2616,2367,2432,2463,100,89,97,98,87,102,99,101,94,83,88,91,92])).
% 117.27/117.31  cnf(2682,plain,
% 117.27/117.31     (~P4(a7,a7,a1,a8,a3,a5,a2,a7)),
% 117.27/117.31     inference(scs_inference,[],[1719,1967,1503,2604,2590,1400,2656,1654,2616,2367,2432,2463,100,89,97,98,87,102,99,101,94,83,88,91,92,90])).
% 117.27/117.31  cnf(2684,plain,
% 117.27/117.31     (~P4(a7,a7,a8,a7,a6,a1,a7,a2)),
% 117.27/117.31     inference(scs_inference,[],[1719,1967,1503,2604,2590,1400,2656,1654,2616,2249,2367,2432,2463,100,89,97,98,87,102,99,101,94,83,88,91,92,90,84])).
% 117.27/117.31  cnf(2686,plain,
% 117.27/117.31     (~P4(a8,a7,a2,a8,a4,a6,a6,a7)),
% 117.27/117.31     inference(scs_inference,[],[1719,1967,1503,2604,2590,1400,2656,1654,2616,2249,2367,2432,2463,100,89,97,98,87,102,99,101,94,83,88,91,92,90,84,93])).
% 117.27/117.31  cnf(2688,plain,
% 117.27/117.31     (~P4(a7,a7,a2,a7,a8,a4,a6,a7)),
% 117.27/117.31     inference(scs_inference,[],[1719,1967,1503,2604,2590,1400,2656,2674,1654,2616,2249,2367,2432,2463,100,89,97,98,87,102,99,101,94,83,88,91,92,90,84,93,85])).
% 117.27/117.31  cnf(2691,plain,
% 117.27/117.31     (~P4(a7,a7,a2,a7,a1,a2,a6,x26911)),
% 117.27/117.31     inference(scs_inference,[],[1719,1967,1503,2604,2590,1400,2656,2674,1654,2616,2249,2367,2432,2463,1369,100,89,97,98,87,102,99,101,94,83,88,91,92,90,84,93,85,86])).
% 117.27/117.31  cnf(2695,plain,
% 117.27/117.31     (P4(a6,a7,a1,a8,a8,a1,a7,a6)),
% 117.27/117.31     inference(scs_inference,[],[1719,1967,1503,2604,2590,1400,2656,2674,1654,2616,2249,2367,2423,2432,2463,2465,1369,59,60,100,89,97,98,87,102,99,101,94,83,88,91,92,90,84,93,85,86,104,108])).
% 117.27/117.31  cnf(2697,plain,
% 117.27/117.31     (P4(a8,a7,a7,a2,a5,a1,a7,a7)),
% 117.27/117.31     inference(scs_inference,[],[1719,1967,1503,2604,2590,1400,2656,2674,1654,2616,2249,2367,2423,2432,2463,2465,1369,58,59,60,100,89,97,98,87,102,99,101,94,83,88,91,92,90,84,93,85,86,104,108,103])).
% 117.27/117.31  cnf(2699,plain,
% 117.27/117.31     (P4(a7,a7,a7,a2,a1,a5,a7,a7)),
% 117.27/117.31     inference(scs_inference,[],[1719,1967,1503,2604,2590,1400,2656,2674,1654,2616,2249,2367,2423,2432,2463,2465,1369,58,59,60,100,89,97,98,87,102,99,101,94,83,88,91,92,90,84,93,85,86,104,108,103,107])).
% 117.27/117.31  cnf(2701,plain,
% 117.27/117.31     (P4(a6,a7,a7,a2,a5,a8,a7,a6)),
% 117.27/117.31     inference(scs_inference,[],[1719,1967,1503,2604,2590,1400,2656,2674,1654,2616,2249,2367,2423,2432,2463,2465,909,1369,51,58,59,60,100,89,97,98,87,102,99,101,94,83,88,91,92,90,84,93,85,86,104,108,103,107,106])).
% 117.27/117.31  cnf(2705,plain,
% 117.27/117.31     (P4(a7,a7,a7,a2,a1,a2,a6,a7)),
% 117.27/117.31     inference(scs_inference,[],[1719,1967,1503,2604,2590,1400,2656,2674,1654,2616,2202,2249,2367,2423,2432,2463,2465,909,1369,51,29,58,59,60,71,100,89,97,98,87,102,99,101,94,83,88,91,92,90,84,93,85,86,104,108,103,107,106,109,112])).
% 117.27/117.31  cnf(2707,plain,
% 117.27/117.31     (P4(a8,a7,a7,a2,a2,a1,a6,a7)),
% 117.27/117.31     inference(scs_inference,[],[1719,1967,1503,2604,2590,1400,2656,2674,1654,2616,2202,2249,2367,2423,2432,2463,2465,909,1369,51,29,58,59,60,71,100,89,97,98,87,102,99,101,94,83,88,91,92,90,84,93,85,86,104,108,103,107,106,109,112,111])).
% 117.27/117.31  cnf(2709,plain,
% 117.27/117.31     (P4(a7,a8,a7,a8,a5,a8,a6,a2)),
% 117.27/117.31     inference(scs_inference,[],[1719,1967,1503,2604,2590,1400,2656,2674,1654,2616,2202,2249,2367,2423,2432,2463,2465,909,1369,51,29,58,59,60,71,100,89,97,98,87,102,99,101,94,83,88,91,92,90,84,93,85,86,104,108,103,107,106,109,112,111,96])).
% 117.27/117.31  cnf(2711,plain,
% 117.27/117.31     (P4(a7,a7,a8,a2,a4,a1,a6,a7)),
% 117.27/117.31     inference(scs_inference,[],[1719,1967,1503,2604,2590,1400,2656,2674,1654,2616,2202,2249,2367,2369,2423,2432,2463,2465,909,1369,51,29,43,58,59,60,71,100,89,97,98,87,102,99,101,94,83,88,91,92,90,84,93,85,86,104,108,103,107,106,109,112,111,96,105])).
% 117.27/117.31  cnf(2716,plain,
% 117.27/117.31     (P4(a7,a8,a8,a2,a5,a4,a6,a7)),
% 117.27/117.31     inference(scs_inference,[],[2254,100])).
% 117.27/117.31  cnf(2719,plain,
% 117.27/117.31     (~P4(a7,a7,a2,a7,a4,a4,a6,x27191)),
% 117.27/117.31     inference(rename_variables,[],[1404])).
% 117.27/117.31  cnf(2721,plain,
% 117.27/117.31     (P4(a6,a1,a1,a8,a8,a1,a7,a2)),
% 117.27/117.31     inference(scs_inference,[],[2634,1404,2254,100,89,97])).
% 117.27/117.31  cnf(2727,plain,
% 117.27/117.31     (~P4(a7,a7,a2,a8,a4,a2,a7,a1)),
% 117.27/117.31     inference(scs_inference,[],[2634,1404,2676,2243,2254,2306,100,89,97,98,102,87])).
% 117.27/117.31  cnf(2730,plain,
% 117.27/117.31     (P4(a6,a1,a1,a2,a1,a3,a7,a6)),
% 117.27/117.31     inference(scs_inference,[],[2634,1404,2676,2243,2254,2306,2409,100,89,97,98,102,87,99])).
% 117.27/117.31  cnf(2732,plain,
% 117.27/117.31     (~P4(a7,a7,a2,a1,a6,a2,a7,x27321)),
% 117.27/117.31     inference(scs_inference,[],[2634,1404,1830,2676,2243,2254,2306,2409,100,89,97,98,102,87,99,88])).
% 117.27/117.31  cnf(2734,plain,
% 117.27/117.31     (P4(a1,a7,a7,a2,a1,a4,a7,a7)),
% 117.27/117.31     inference(scs_inference,[],[2634,1404,1830,2676,2243,2254,2306,2409,2522,100,89,97,98,102,87,99,88,101])).
% 117.27/117.31  cnf(2736,plain,
% 117.27/117.31     (~P4(a1,a7,a2,a8,a6,a6,a7,a7)),
% 117.27/117.31     inference(scs_inference,[],[1924,2634,1404,1830,2676,2243,2254,2306,2409,2522,100,89,97,98,102,87,99,88,101,94])).
% 117.27/117.31  cnf(2739,plain,
% 117.27/117.31     (~P4(a7,a7,a2,a7,a4,a4,a6,x27391)),
% 117.27/117.31     inference(rename_variables,[],[1404])).
% 117.27/117.31  cnf(2743,plain,
% 117.27/117.31     (~P4(a7,a1,a2,a8,a6,a6,a7,a7)),
% 117.27/117.31     inference(scs_inference,[],[1903,1924,2634,1404,2719,1830,2676,2243,2254,2306,2409,2522,100,89,97,98,102,87,99,88,101,94,83,91,92])).
% 117.27/117.31  cnf(2745,plain,
% 117.27/117.31     (~P4(a7,a7,a1,a8,a3,a3,a2,a7)),
% 117.27/117.31     inference(scs_inference,[],[1903,1671,1924,2634,1404,2719,1830,2676,2243,2254,2306,2409,2522,100,89,97,98,102,87,99,88,101,94,83,91,92,90])).
% 117.27/117.31  cnf(2747,plain,
% 117.27/117.31     (~P4(a7,a7,a8,a7,a2,a1,a7,a2)),
% 117.27/117.31     inference(scs_inference,[],[1903,1671,1924,2634,1404,2719,1830,2676,2243,2254,2295,2306,2409,2522,100,89,97,98,102,87,99,88,101,94,83,91,92,90,84])).
% 117.27/117.31  cnf(2749,plain,
% 117.27/117.31     (~P4(a8,a7,a2,a8,a4,a2,a6,a7)),
% 117.27/117.31     inference(scs_inference,[],[1903,1671,1924,2634,1404,2719,1830,2676,2243,2254,2295,2306,2409,2522,100,89,97,98,102,87,99,88,101,94,83,91,92,90,84,93])).
% 117.27/117.31  cnf(2751,plain,
% 117.27/117.31     (~P4(a7,a7,a2,a7,a8,a4,a6,a4)),
% 117.27/117.31     inference(scs_inference,[],[1903,1671,1924,2634,1404,2719,2739,1830,2676,2243,2254,2295,2306,2409,2522,100,89,97,98,102,87,99,88,101,94,83,91,92,90,84,93,85])).
% 117.27/117.31  cnf(2754,plain,
% 117.27/117.31     (~P4(a7,a7,a2,a7,a1,a6,a7,x27541)),
% 117.27/117.31     inference(scs_inference,[],[1903,1671,1924,2634,1404,2719,2739,1830,2676,2243,2254,2295,2306,2409,2522,1582,100,89,97,98,102,87,99,88,101,94,83,91,92,90,84,93,85,86])).
% 117.27/117.31  cnf(2758,plain,
% 117.27/117.31     (P4(a6,a7,a1,a1,a8,a1,a7,a6)),
% 117.27/117.31     inference(scs_inference,[],[1903,1671,1924,2634,1404,2719,2739,1830,2676,2243,2254,2295,2306,2409,2496,2522,2638,1582,57,59,100,89,97,98,102,87,99,88,101,94,83,91,92,90,84,93,85,86,108,103])).
% 117.27/117.31  cnf(2764,plain,
% 117.27/117.31     (~P4(a7,a7,a1,a8,a5,a3,a2,a7)),
% 117.27/117.31     inference(scs_inference,[],[1903,1671,1924,2446,2634,2563,1404,2719,2739,1830,2676,2243,2254,2295,2306,2409,2496,2522,2638,1582,57,59,61,71,100,89,97,98,102,87,99,88,101,94,83,91,92,90,84,93,85,86,108,103,107,112,111])).
% 117.27/117.31  cnf(2766,plain,
% 117.27/117.31     (P4(a6,a7,a1,a1,a1,a3,a2,a6)),
% 117.27/117.31     inference(scs_inference,[],[1903,1671,1924,2446,2634,2563,1404,2719,2739,1830,2676,2243,2254,2295,2306,2409,2496,2522,2638,1582,57,59,61,71,100,89,97,98,102,87,99,88,101,94,83,91,92,90,84,93,85,86,108,103,107,112,111,95])).
% 117.27/117.31  cnf(2768,plain,
% 117.27/117.31     (P4(a1,a7,a7,a8,a8,a1,a6,a2)),
% 117.27/117.31     inference(scs_inference,[],[1903,1671,1924,2446,2634,2563,1404,2719,2739,1830,2676,2243,2254,2295,2306,2409,2496,2522,2638,1582,57,59,61,71,100,89,97,98,102,87,99,88,101,94,83,91,92,90,84,93,85,86,108,103,107,112,111,95,96])).
% 117.27/117.31  cnf(2775,plain,
% 117.27/117.31     (~P4(a7,a7,a2,a7,a8,a6,a6,a7)),
% 117.27/117.31     inference(scs_inference,[],[1481,85])).
% 117.27/117.31  cnf(2776,plain,
% 117.27/117.31     (~P4(a7,a7,a2,a7,a7,a6,a6,x27761)),
% 117.27/117.31     inference(rename_variables,[],[1481])).
% 117.27/117.31  cnf(2780,plain,
% 117.27/117.31     (~P4(a7,a7,a1,a8,a3,a6,a2,a7)),
% 117.27/117.31     inference(scs_inference,[],[1756,1973,1481,85,92,90])).
% 117.27/117.31  cnf(2782,plain,
% 117.27/117.31     (~P4(a7,a7,a2,a7,a1,a5,a6,x27821)),
% 117.27/117.31     inference(scs_inference,[],[1756,1973,1481,1594,85,92,90,86])).
% 117.27/117.31  cnf(2784,plain,
% 117.27/117.31     (P4(a6,a8,a7,a8,a1,a8,a7,a7)),
% 117.27/117.31     inference(scs_inference,[],[1756,1973,2576,1481,1594,85,92,90,86,100])).
% 117.27/117.31  cnf(2786,plain,
% 117.27/117.31     (~P4(a7,a7,a8,a7,a5,a1,a7,a2)),
% 117.27/117.31     inference(scs_inference,[],[1756,1973,2576,1481,2310,1594,85,92,90,86,100,84])).
% 117.27/117.31  cnf(2788,plain,
% 117.27/117.31     (P4(a6,a7,a8,a8,a1,a8,a7,a7)),
% 117.27/117.31     inference(scs_inference,[],[1756,1973,2576,1481,2310,1594,85,92,90,86,100,84,98])).
% 117.27/117.31  cnf(2790,plain,
% 117.27/117.31     (~P4(a7,a7,a8,a7,a7,a6,a6,a2)),
% 117.27/117.31     inference(scs_inference,[],[1756,1973,2576,1481,2776,2310,1594,85,92,90,86,100,84,98,89])).
% 117.27/117.31  cnf(2791,plain,
% 117.27/117.31     (~P4(a7,a7,a2,a7,a7,a6,a6,x27911)),
% 117.27/117.31     inference(rename_variables,[],[1481])).
% 117.27/117.31  cnf(2793,plain,
% 117.27/117.31     (P4(a6,a7,a1,a8,a1,a8,a7,a6)),
% 117.27/117.31     inference(scs_inference,[],[1756,1973,2644,2576,1481,2776,2310,1594,85,92,90,86,100,84,98,89,97])).
% 117.27/117.31  cnf(2795,plain,
% 117.27/117.31     (~P4(a7,a7,a2,a8,a6,a2,a7,a1)),
% 117.27/117.31     inference(scs_inference,[],[1756,1973,2644,2576,1481,2776,2732,2310,1594,85,92,90,86,100,84,98,89,97,87])).
% 117.27/117.31  cnf(2798,plain,
% 117.27/117.31     (P4(a8,a7,a7,a8,a1,a8,a7,a6)),
% 117.27/117.31     inference(scs_inference,[],[1756,1973,2644,2576,1481,2776,2732,2310,1594,85,92,90,86,100,84,98,89,97,87,102])).
% 117.27/117.31  cnf(2800,plain,
% 117.27/117.31     (P4(a6,a1,a7,a8,a1,a8,a7,a6)),
% 117.27/117.31     inference(scs_inference,[],[1756,1973,2644,2576,1481,2776,2732,2310,1594,85,92,90,86,100,84,98,89,97,87,102,99])).
% 117.27/117.31  cnf(2805,plain,
% 117.27/117.31     (~P4(a7,a7,a2,a1,a6,a6,a7,x28051)),
% 117.27/117.31     inference(scs_inference,[],[1756,1973,2644,2576,1481,2776,2791,1835,2732,2310,1594,85,92,90,86,100,84,98,89,97,87,102,99,83,88])).
% 117.27/117.31  cnf(2807,plain,
% 117.27/117.31     (P4(a1,a7,a7,a1,a8,a1,a7,a6)),
% 117.27/117.31     inference(scs_inference,[],[1756,1973,2644,2576,1481,2776,2791,1835,2732,2310,2580,1594,85,92,90,86,100,84,98,89,97,87,102,99,83,88,101])).
% 117.27/117.31  cnf(2809,plain,
% 117.27/117.31     (~P4(a1,a7,a2,a8,a3,a2,a7,a7)),
% 117.27/117.31     inference(scs_inference,[],[1756,1973,2644,2576,1481,2776,2791,1835,2732,2310,2580,1594,85,92,90,86,100,84,98,89,97,87,102,99,83,88,101,94])).
% 117.27/117.31  cnf(2813,plain,
% 117.27/117.31     (~P4(a8,a7,a2,a8,a4,a4,a6,a7)),
% 117.27/117.31     inference(scs_inference,[],[1773,1756,1973,2644,2576,1481,2776,2791,1835,2732,2310,2580,1594,85,92,90,86,100,84,98,89,97,87,102,99,83,88,101,94,91,93])).
% 117.27/117.31  cnf(2815,plain,
% 117.27/117.31     (P4(a1,a7,a1,a2,a1,a4,a7,a6)),
% 117.27/117.31     inference(scs_inference,[],[1773,1756,1973,2644,2576,1481,2776,2791,1835,2732,2310,2436,2580,1594,58,85,92,90,86,100,84,98,89,97,87,102,99,83,88,101,94,91,93,107])).
% 117.27/117.31  cnf(2819,plain,
% 117.27/117.31     (P4(a7,a8,a7,a8,a2,a8,a6,a2)),
% 117.27/117.31     inference(scs_inference,[],[1773,1756,1973,2644,2576,2709,1481,2776,2791,1835,2732,2263,2310,2436,2580,1594,8,58,71,85,92,90,86,100,84,98,89,97,87,102,99,83,88,101,94,91,93,107,109,111])).
% 117.27/117.31  cnf(2823,plain,
% 117.27/117.31     (P4(a8,a7,a7,a2,a5,a8,a6,a7)),
% 117.27/117.31     inference(scs_inference,[],[1773,1756,1973,2644,2576,2709,1481,2776,2791,1835,2732,2263,2310,2436,2580,2618,1594,987,51,8,58,60,71,85,92,90,86,100,84,98,89,97,87,102,99,83,88,101,94,91,93,107,109,111,108,106])).
% 117.27/117.31  cnf(2825,plain,
% 117.27/117.31     (P4(a6,a7,a1,a8,a8,a1,a6,a2)),
% 117.27/117.31     inference(scs_inference,[],[1773,1756,1973,2644,2574,2576,2709,1481,2776,2791,1835,2732,2263,2310,2436,2580,2618,1594,987,51,8,58,60,71,85,92,90,86,100,84,98,89,97,87,102,99,83,88,101,94,91,93,107,109,111,108,106,103])).
% 117.27/117.31  cnf(2827,plain,
% 117.27/117.31     (P4(a6,a1,a7,a2,a1,a6,a7,a6)),
% 117.27/117.31     inference(scs_inference,[],[1773,1756,1973,2644,2574,2524,2576,2709,1481,2776,2791,1835,2732,2263,2310,2436,2580,2618,1594,987,51,8,58,60,68,71,85,92,90,86,100,84,98,89,97,87,102,99,83,88,101,94,91,93,107,109,111,108,106,103,112])).
% 117.27/117.31  cnf(2829,plain,
% 117.27/117.31     (P4(a6,a1,a7,a2,a1,a8,a7,a6)),
% 117.27/117.31     inference(scs_inference,[],[1773,1756,1973,2644,2574,2524,2576,2709,1481,2776,2791,1835,2732,2263,2310,2436,2580,2618,1594,987,51,8,58,60,68,71,85,92,90,86,100,84,98,89,97,87,102,99,83,88,101,94,91,93,107,109,111,108,106,103,112,204])).
% 117.27/117.31  cnf(2832,plain,
% 117.27/117.31     (~P4(a7,a7,a2,a7,a8,a5,a6,a2)),
% 117.27/117.31     inference(scs_inference,[],[1591,85])).
% 117.27/117.31  cnf(2833,plain,
% 117.27/117.31     (~P4(a7,a7,a2,a7,a2,a5,a6,x28331)),
% 117.27/117.31     inference(rename_variables,[],[1591])).
% 117.27/117.31  cnf(2837,plain,
% 117.27/117.31     (~P4(a7,a7,a2,a7,a1,x28371,a2,x28372)),
% 117.27/117.31     inference(scs_inference,[],[2014,1591,1108,85,92,86])).
% 117.27/117.31  cnf(2841,plain,
% 117.27/117.31     (~P4(a7,a7,a1,a7,a1,x28411,a2,x28411)),
% 117.27/117.31     inference(scs_inference,[],[2014,1438,1591,1108,85,92,86,90,208])).
% 117.27/117.31  cnf(2843,plain,
% 117.27/117.31     (P4(a7,a8,a7,a2,a5,a3,a6,a7)),
% 117.27/117.31     inference(scs_inference,[],[2014,1438,1591,2353,1108,85,92,86,90,208,100])).
% 117.27/117.31  cnf(2845,plain,
% 117.27/117.31     (~P4(a1,a7,a2,a7,a7,a1,a7,a7)),
% 117.27/117.31     inference(scs_inference,[],[2014,1438,1591,2351,2353,1108,85,92,86,90,208,100,84])).
% 117.27/117.31  cnf(2847,plain,
% 117.27/117.31     (P4(a7,a7,a8,a2,a5,a3,a6,a7)),
% 117.27/117.31     inference(scs_inference,[],[2014,1438,1591,2351,2353,1108,85,92,86,90,208,100,84,98])).
% 117.27/117.31  cnf(2851,plain,
% 117.27/117.31     (~P4(a7,a7,a8,a7,a2,a5,a6,a2)),
% 117.27/117.31     inference(scs_inference,[],[2014,1438,2516,1591,2833,2351,2353,1108,85,92,86,90,208,100,84,98,97,89])).
% 117.27/117.31  cnf(2852,plain,
% 117.27/117.31     (~P4(a7,a7,a2,a7,a2,a5,a6,x28521)),
% 117.27/117.31     inference(rename_variables,[],[1591])).
% 117.27/117.31  cnf(2854,plain,
% 117.27/117.31     (P4(a8,a7,a1,a1,a1,a3,a2,a6)),
% 117.27/117.31     inference(scs_inference,[],[2014,1438,2516,2766,1591,2833,2351,2353,1108,85,92,86,90,208,100,84,98,97,89,102])).
% 117.27/117.31  cnf(2856,plain,
% 117.27/117.31     (~P4(a7,a7,a2,a8,a6,a6,a7,a1)),
% 117.27/117.31     inference(scs_inference,[],[2014,1438,2516,2766,1591,2833,2805,2351,2353,1108,85,92,86,90,208,100,84,98,97,89,102,87])).
% 117.27/117.31  cnf(2857,plain,
% 117.27/117.31     (~P4(a7,a7,a2,a1,a6,a6,a7,x28571)),
% 117.27/117.31     inference(rename_variables,[],[2805])).
% 117.27/117.31  cnf(2861,plain,
% 117.27/117.31     (~P4(a7,a7,a2,a1,a4,a3,a7,x28611)),
% 117.27/117.31     inference(scs_inference,[],[2014,1438,2516,2766,1591,2833,1841,2805,2351,2353,1108,85,92,86,90,208,100,84,98,97,89,102,87,99,88])).
% 117.27/117.31  cnf(2863,plain,
% 117.27/117.31     (P4(a1,a7,a7,a1,a1,a4,a6,a6)),
% 117.27/117.31     inference(scs_inference,[],[2014,1438,2516,2766,1591,2833,1841,2805,2351,2353,2642,1108,85,92,86,90,208,100,84,98,97,89,102,87,99,88,101])).
% 117.27/117.31  cnf(2868,plain,
% 117.27/117.31     (~P4(a1,a7,a2,a8,a3,a3,a7,a7)),
% 117.27/117.31     inference(scs_inference,[],[2014,1438,2516,2766,1591,2833,2852,1841,2805,2351,2353,2642,1108,85,92,86,90,208,100,84,98,97,89,102,87,99,88,101,83,94])).
% 117.27/117.31  cnf(2870,plain,
% 117.27/117.31     (~P4(a7,a8,a2,a8,a1,a3,a6,a7)),
% 117.27/117.31     inference(scs_inference,[],[1866,2014,1438,2516,2766,1591,2833,2852,1841,2805,2351,2353,2642,1108,85,92,86,90,208,100,84,98,97,89,102,87,99,88,101,83,94,91])).
% 117.27/117.31  cnf(2874,plain,
% 117.27/117.31     (P4(a6,a1,a7,a2,a1,a8,a7,a7)),
% 117.27/117.31     inference(scs_inference,[],[1866,2014,1438,2516,2766,2829,1591,2833,2852,1841,2805,2351,2353,2642,1108,58,85,92,86,90,208,100,84,98,97,89,102,87,99,88,101,83,94,91,93,104])).
% 117.27/117.31  cnf(2878,plain,
% 117.27/117.31     (~P4(a7,a7,a2,a1,a3,a6,a7,x28781)),
% 117.27/117.31     inference(scs_inference,[],[1866,2014,1438,2516,2766,2829,1591,2833,2852,1841,2805,2857,2351,2353,2642,1108,58,59,68,85,92,86,90,208,100,84,98,97,89,102,87,99,88,101,83,94,91,93,104,107,111])).
% 117.27/117.31  cnf(2880,plain,
% 117.27/117.31     (P4(a6,a7,a1,a1,a8,a1,a7,a2)),
% 117.27/117.31     inference(scs_inference,[],[1866,2014,1438,2516,2766,2829,1591,2833,2852,1841,2805,2857,2351,2353,2640,2642,1108,58,59,68,85,92,86,90,208,100,84,98,97,89,102,87,99,88,101,83,94,91,93,104,107,111,108])).
% 117.27/117.31  cnf(2882,plain,
% 117.27/117.31     (P4(a1,a7,a7,a8,a8,a1,a7,a2)),
% 117.27/117.31     inference(scs_inference,[],[1866,2014,1438,2516,2766,2768,2829,1591,2833,2852,1841,2805,2857,2351,2353,2640,2642,1108,58,59,68,85,92,86,90,208,100,84,98,97,89,102,87,99,88,101,83,94,91,93,104,107,111,108,103])).
% 117.27/117.31  cnf(2884,plain,
% 117.27/117.31     (~P4(a7,a7,a2,a7,a1,a7,a7,x28841)),
% 117.27/117.31     inference(scs_inference,[],[1866,2014,1438,2516,2766,2768,2829,1591,2833,2852,1841,2411,2805,2857,2351,2353,2640,2642,1108,58,59,68,66,85,92,86,90,208,100,84,98,97,89,102,87,99,88,101,83,94,91,93,104,107,111,108,103,112])).
% 117.27/117.31  cnf(2886,plain,
% 117.27/117.31     (~P4(a7,a7,a2,a1,a7,a7,a7,a1)),
% 117.27/117.31     inference(scs_inference,[],[1866,2014,1438,2516,2766,2768,2829,1591,2833,2852,1841,2411,2805,2857,2351,2353,2640,2642,1108,58,59,68,66,85,92,86,90,208,100,84,98,97,89,102,87,99,88,101,83,94,91,93,104,107,111,108,103,112,946])).
% 117.27/117.31  cnf(2888,plain,
% 117.27/117.31     (P4(a6,a7,a7,a1,a1,a8,a2,a2)),
% 117.27/117.31     inference(scs_inference,[],[1866,2014,1438,2516,2766,2768,2829,1591,2833,2852,1841,2411,2805,2857,2351,2353,2640,2642,1108,58,59,68,66,85,92,86,90,208,100,84,98,97,89,102,87,99,88,101,83,94,91,93,104,107,111,108,103,112,946,95])).
% 117.27/117.31  cnf(2898,plain,
% 117.27/117.31     (~P4(a7,a7,a1,a7,a1,x28981,a2,x28981)),
% 117.27/117.31     inference(rename_variables,[],[2841])).
% 117.27/117.31  cnf(2900,plain,
% 117.27/117.31     (~P4(a7,a7,a1,a8,a6,a5,a2,a7)),
% 117.27/117.31     inference(scs_inference,[],[2004,1450,2841,92,85,90])).
% 117.27/117.31  cnf(2902,plain,
% 117.27/117.31     (~P4(a1,a7,a2,a7,a1,a1,a7,a7)),
% 117.27/117.31     inference(scs_inference,[],[2004,1450,2841,2845,92,85,90,86])).
% 117.27/117.31  cnf(2904,plain,
% 117.27/117.31     (P4(a7,a8,a8,a2,a5,a5,a6,a7)),
% 117.27/117.31     inference(scs_inference,[],[2004,1450,2841,2425,2845,92,85,90,86,100])).
% 117.27/117.31  cnf(2907,plain,
% 117.27/117.31     (~P4(a7,a7,a1,a7,a1,x29071,a2,x29071)),
% 117.27/117.31     inference(rename_variables,[],[2841])).
% 117.27/117.31  cnf(2909,plain,
% 117.27/117.31     (P4(a8,a7,a8,a2,a5,a5,a6,a7)),
% 117.27/117.31     inference(scs_inference,[],[2004,1450,2841,2898,2425,2430,2845,92,85,90,86,100,84,98])).
% 117.27/117.31  cnf(2911,plain,
% 117.27/117.31     (P4(a6,a1,a1,a8,a1,a8,a7,a2)),
% 117.27/117.31     inference(scs_inference,[],[2004,1450,2549,2841,2898,2425,2430,2845,92,85,90,86,100,84,98,97])).
% 117.27/117.31  cnf(2914,plain,
% 117.27/117.31     (~P4(a7,a7,a1,a7,a1,x29141,a2,x29141)),
% 117.27/117.31     inference(rename_variables,[],[2841])).
% 117.27/117.31  cnf(2917,plain,
% 117.27/117.31     (~P4(a7,a7,a1,a7,a1,x29171,a2,x29171)),
% 117.27/117.31     inference(rename_variables,[],[2841])).
% 117.27/117.31  cnf(2919,plain,
% 117.27/117.31     (P4(a8,a8,a8,a2,a5,a4,a6,a7)),
% 117.27/117.31     inference(scs_inference,[],[2004,1450,2549,2716,2841,2898,2907,2914,2425,2430,2845,92,85,90,86,100,84,98,97,89,87,102])).
% 117.27/117.31  cnf(2921,plain,
% 117.27/117.31     (P4(a6,a1,a1,a2,a4,a4,a7,a6)),
% 117.27/117.31     inference(scs_inference,[],[2004,1450,2549,2716,2841,2898,2907,2914,2425,2430,2483,2845,92,85,90,86,100,84,98,97,89,87,102,99])).
% 117.27/117.31  cnf(2923,plain,
% 117.27/117.31     (~P4(a7,a7,a2,a1,a6,a3,a7,x29231)),
% 117.27/117.31     inference(scs_inference,[],[2004,1450,2549,2716,2841,2898,2907,2914,1955,2425,2430,2483,2845,92,85,90,86,100,84,98,97,89,87,102,99,88])).
% 117.27/117.31  cnf(2925,plain,
% 117.27/117.31     (P4(a1,a7,a7,a2,a1,a5,a7,a7)),
% 117.27/117.31     inference(scs_inference,[],[2004,1450,2549,2716,2841,2898,2907,2914,1955,2425,2430,2483,2699,2845,92,85,90,86,100,84,98,97,89,87,102,99,88,101])).
% 117.27/117.31  cnf(2935,plain,
% 117.27/117.31     (P4(a6,a7,a1,a8,a1,a8,a7,a7)),
% 117.27/117.31     inference(scs_inference,[],[1993,2004,1450,2540,2549,2716,2841,2898,2907,2914,2917,1955,2425,2430,2483,2699,2845,57,92,85,90,86,100,84,98,97,89,87,102,99,88,101,94,83,91,93,104])).
% 117.27/117.31  cnf(2940,plain,
% 117.27/117.31     (P4(a6,a7,a1,a8,a1,a8,a6,a2)),
% 117.27/117.31     inference(scs_inference,[],[8,1993,2004,1450,2540,2549,2716,2841,2898,2907,2914,2917,1955,2425,2430,2483,2699,2845,57,60,92,85,90,86,100,84,98,97,89,87,102,99,88,101,94,83,91,93,104,109,107])).
% 117.27/117.31  cnf(2942,plain,
% 117.27/117.31     (P4(a7,a8,a8,a2,a2,a4,a6,a7)),
% 117.27/117.31     inference(scs_inference,[],[8,1993,2004,1450,2540,2549,2716,2841,2898,2907,2914,2917,1955,2425,2430,2483,2699,2845,57,60,71,92,85,90,86,100,84,98,97,89,87,102,99,88,101,94,83,91,93,104,109,107,111])).
% 117.27/117.31  cnf(2944,plain,
% 117.27/117.31     (P4(a6,a1,a1,a8,a8,a1,a7,a6)),
% 117.27/117.31     inference(scs_inference,[],[8,1993,2004,1450,2540,2549,2658,2716,2841,2898,2907,2914,2917,1955,2425,2430,2483,2699,2845,57,60,71,92,85,90,86,100,84,98,97,89,87,102,99,88,101,94,83,91,93,104,109,107,111,108])).
% 117.27/117.31  cnf(2946,plain,
% 117.27/117.31     (P4(a6,a1,a1,a8,a8,a1,a6,a7)),
% 117.27/117.31     inference(scs_inference,[],[8,1993,2004,1450,2540,2549,2658,2716,2841,2898,2907,2914,2917,1955,2425,2430,2483,2699,2845,57,60,71,92,85,90,86,100,84,98,97,89,87,102,99,88,101,94,83,91,93,104,109,107,111,108,103])).
% 117.27/117.31  cnf(2948,plain,
% 117.27/117.31     (~P4(a7,a7,a1,a7,a8,a2,a2,a1)),
% 117.27/117.31     inference(scs_inference,[],[8,1993,2004,1450,2540,2549,2658,2716,2841,2898,2907,2914,2917,1955,2425,2430,2483,2699,2845,57,60,71,92,85,90,86,100,84,98,97,89,87,102,99,88,101,94,83,91,93,104,109,107,111,108,103,105])).
% 117.27/117.31  cnf(2950,plain,
% 117.27/117.31     (P4(a7,a8,a8,a2,a5,a6,a6,a7)),
% 117.27/117.31     inference(scs_inference,[],[8,1993,2004,1450,2540,2549,2658,2716,2841,2898,2907,2914,2917,1955,2425,2430,2483,2699,2845,57,60,69,71,92,85,90,86,100,84,98,97,89,87,102,99,88,101,94,83,91,93,104,109,107,111,108,103,105,112])).
% 117.27/117.31  cnf(2952,plain,
% 117.27/117.31     (~P4(a7,a7,a1,a7,a1,a2,a2,a1)),
% 117.27/117.31     inference(scs_inference,[],[8,1993,2004,1450,2540,2549,2658,2716,2841,2898,2907,2914,2917,1955,2425,2430,2483,2699,2845,16,57,60,69,71,92,85,90,86,100,84,98,97,89,87,102,99,88,101,94,83,91,93,104,109,107,111,108,103,105,112,110])).
% 117.27/117.31  cnf(2961,plain,
% 117.27/117.31     (~P4(a7,a7,a2,a7,a4,a2,a6,x29611)),
% 117.27/117.31     inference(rename_variables,[],[1599])).
% 117.27/117.31  cnf(2965,plain,
% 117.27/117.31     (~P4(a7,a7,a2,a1,a1,a7,a7,a1)),
% 117.27/117.31     inference(scs_inference,[],[1940,2886,1599,85,92,86])).
% 117.27/117.31  cnf(2967,plain,
% 117.27/117.31     (~P4(a7,a7,a1,a8,a5,a4,a2,a7)),
% 117.27/117.31     inference(scs_inference,[],[1561,1940,2886,1599,85,92,86,90])).
% 117.27/117.31  cnf(2969,plain,
% 117.27/117.31     (P4(a8,a8,a7,a2,a5,a8,a6,a7)),
% 117.27/117.31     inference(scs_inference,[],[1561,1940,2886,2823,1599,85,92,86,90,100])).
% 117.27/117.31  cnf(2971,plain,
% 117.27/117.31     (~P4(a7,a7,a2,a1,a7,a1,a7,a1)),
% 117.27/117.31     inference(scs_inference,[],[1561,1940,2886,2823,1599,85,92,86,90,100,84])).
% 117.27/117.31  cnf(2973,plain,
% 117.27/117.31     (P4(a8,a7,a8,a2,a5,a8,a6,a7)),
% 117.27/117.31     inference(scs_inference,[],[1561,1940,2886,2823,1599,85,92,86,90,100,84,98])).
% 117.27/117.31  cnf(2975,plain,
% 117.27/117.31     (~P4(a7,a7,a8,a7,a4,a2,a6,a2)),
% 117.27/117.31     inference(scs_inference,[],[1561,1940,2886,2823,1599,2961,85,92,86,90,100,84,98,89])).
% 117.27/117.31  cnf(2976,plain,
% 117.27/117.31     (~P4(a7,a7,a2,a7,a4,a2,a6,x29761)),
% 117.27/117.31     inference(rename_variables,[],[1599])).
% 117.27/117.31  cnf(2978,plain,
% 117.27/117.31     (P4(a6,a7,a1,a2,a5,a8,a7,a6)),
% 117.27/117.31     inference(scs_inference,[],[1561,1940,2886,2701,2823,1599,2961,85,92,86,90,100,84,98,89,97])).
% 117.27/117.31  cnf(2980,plain,
% 117.27/117.31     (P4(a8,a7,a7,a2,a5,a8,a7,a6)),
% 117.27/117.31     inference(scs_inference,[],[1561,1940,2886,2701,2823,1599,2961,85,92,86,90,100,84,98,89,97,102])).
% 117.27/117.31  cnf(2982,plain,
% 117.27/117.31     (~P4(a7,a7,a2,a8,a7,a7,a7,a1)),
% 117.27/117.31     inference(scs_inference,[],[1561,1940,2886,2701,2823,1599,2961,85,92,86,90,100,84,98,89,97,102,87])).
% 117.27/117.31  cnf(2984,plain,
% 117.27/117.31     (P4(a6,a1,a7,a2,a5,a8,a7,a6)),
% 117.27/117.31     inference(scs_inference,[],[1561,1940,2886,2701,2823,1599,2961,85,92,86,90,100,84,98,89,97,102,87,99])).
% 117.27/117.31  cnf(2986,plain,
% 117.27/117.31     (P4(a1,a7,a1,a8,a8,a1,a6,a2)),
% 117.27/117.31     inference(scs_inference,[],[1561,1940,2886,2701,2823,1599,2961,2825,85,92,86,90,100,84,98,89,97,102,87,99,101])).
% 117.27/117.31  cnf(2988,plain,
% 117.27/117.31     (~P4(a7,a7,a2,a1,a1,a3,a7,x29881)),
% 117.27/117.31     inference(scs_inference,[],[1561,1940,2886,2701,2823,1599,2961,2341,2825,85,92,86,90,100,84,98,89,97,102,87,99,101,88])).
% 117.27/117.31  cnf(2990,plain,
% 117.27/117.31     (~P4(a1,a7,a2,a8,a3,a4,a7,a7)),
% 117.27/117.31     inference(scs_inference,[],[1561,1940,2886,2701,2823,1599,2961,2341,2825,85,92,86,90,100,84,98,89,97,102,87,99,101,88,94])).
% 117.27/117.31  cnf(2994,plain,
% 117.27/117.31     (~P4(a7,a7,a2,a7,a4,a8,a6,a2)),
% 117.27/117.31     inference(scs_inference,[],[1978,1561,1940,2886,2701,2823,1599,2961,2976,2341,2825,85,92,86,90,100,84,98,89,97,102,87,99,101,88,94,91,83])).
% 117.27/117.31  cnf(2999,plain,
% 117.27/117.31     (P4(a6,a7,a7,a8,a1,a8,a2,a7)),
% 117.27/117.31     inference(scs_inference,[],[1978,1561,1940,2582,2886,2701,2823,1599,2961,2976,2341,2825,57,85,92,86,90,100,84,98,89,97,102,87,99,101,88,94,91,83,93,104])).
% 117.27/117.31  cnf(3001,plain,
% 117.27/117.31     (P4(a6,a7,a7,a1,a1,a8,a7,a2)),
% 117.27/117.31     inference(scs_inference,[],[1978,1561,1940,2582,2886,2888,2701,2823,1599,2961,2976,2341,2825,57,85,92,86,90,100,84,98,89,97,102,87,99,101,88,94,91,83,93,104,107])).
% 117.27/117.31  cnf(3003,plain,
% 117.27/117.31     (~P4(a7,a7,a2,a1,a4,a7,a7,a1)),
% 117.27/117.31     inference(scs_inference,[],[1978,1561,1940,2582,2886,2888,2701,2823,1599,2961,2976,2341,2825,57,70,85,92,86,90,100,84,98,89,97,102,87,99,101,88,94,91,83,93,104,107,111])).
% 117.27/117.31  cnf(3005,plain,
% 117.27/117.31     (P4(a1,a7,a7,a1,a8,a1,a7,a7)),
% 117.27/117.31     inference(scs_inference,[],[1978,1561,1940,2582,2886,2888,2701,2823,1599,2961,2976,2341,2807,2825,57,58,70,85,92,86,90,100,84,98,89,97,102,87,99,101,88,94,91,83,93,104,107,111,108])).
% 117.27/117.31  cnf(3007,plain,
% 117.27/117.31     (P4(a6,a1,a1,a8,a8,a1,a2,a2)),
% 117.27/117.31     inference(scs_inference,[],[1978,1561,1940,2582,2886,2888,2701,2823,2721,1599,2961,2976,2341,2807,2825,57,58,59,70,85,92,86,90,100,84,98,89,97,102,87,99,101,88,94,91,83,93,104,107,111,108,103])).
% 117.27/117.31  cnf(3009,plain,
% 117.27/117.31     (P4(a7,a8,a8,a2,a5,a1,a6,a7)),
% 117.27/117.31     inference(scs_inference,[],[1978,1561,1940,2582,2886,2888,2701,2823,2721,1599,2961,2976,2341,2807,2825,2950,50,57,58,59,70,85,92,86,90,100,84,98,89,97,102,87,99,101,88,94,91,83,93,104,107,111,108,103,105])).
% 117.27/117.31  cnf(3020,plain,
% 117.27/117.31     (~P4(a7,a7,a2,a7,a8,a2,a6,a7)),
% 117.27/117.31     inference(scs_inference,[],[2572,1606,92,85])).
% 117.27/117.31  cnf(3021,plain,
% 117.27/117.31     (~P4(a7,a7,a2,a7,a7,a2,a6,x30211)),
% 117.27/117.31     inference(rename_variables,[],[1606])).
% 117.27/117.31  cnf(3025,plain,
% 117.27/117.31     (~P4(a7,a7,a2,a1,a1,a1,a7,a1)),
% 117.27/117.31     inference(scs_inference,[],[1846,2572,1606,2971,92,85,90,86])).
% 117.27/117.31  cnf(3027,plain,
% 117.27/117.31     (P4(a1,a8,a7,a1,a8,a1,a7,a7)),
% 117.27/117.31     inference(scs_inference,[],[1846,2572,3005,1606,2971,92,85,90,86,100])).
% 117.27/117.31  cnf(3031,plain,
% 117.27/117.31     (P4(a1,a7,a8,a1,a8,a1,a7,a7)),
% 117.27/117.31     inference(scs_inference,[],[1846,2572,3005,1606,2420,2971,92,85,90,86,100,84,98])).
% 117.27/117.31  cnf(3033,plain,
% 117.27/117.31     (P4(a1,a7,a1,a1,a8,a1,a7,a7)),
% 117.27/117.31     inference(scs_inference,[],[1846,2572,3005,1606,2420,2971,92,85,90,86,100,84,98,97])).
% 117.27/117.31  cnf(3035,plain,
% 117.27/117.31     (~P4(a7,a7,a8,a7,a7,a2,a6,a2)),
% 117.27/117.31     inference(scs_inference,[],[1846,2572,3005,1606,3021,2420,2971,92,85,90,86,100,84,98,97,89])).
% 117.27/117.31  cnf(3036,plain,
% 117.27/117.31     (~P4(a7,a7,a2,a7,a7,a2,a6,x30361)),
% 117.27/117.31     inference(rename_variables,[],[1606])).
% 117.27/117.31  cnf(3038,plain,
% 117.27/117.31     (~P4(a7,a7,a2,a8,a4,a3,a7,a1)),
% 117.27/117.31     inference(scs_inference,[],[1846,2572,3005,1606,3021,2861,2420,2971,92,85,90,86,100,84,98,97,89,87])).
% 117.27/117.31  cnf(3041,plain,
% 117.27/117.31     (P4(a8,a8,a8,a2,a5,a1,a6,a7)),
% 117.27/117.31     inference(scs_inference,[],[3009,1846,2572,3005,1606,3021,2861,2420,2971,92,85,90,86,100,84,98,97,89,87,102])).
% 117.27/117.31  cnf(3043,plain,
% 117.27/117.31     (P4(a1,a1,a7,a1,a8,a1,a7,a7)),
% 117.27/117.31     inference(scs_inference,[],[3009,1846,2572,3005,1606,3021,2861,2420,2971,92,85,90,86,100,84,98,97,89,87,102,99])).
% 117.27/117.31  cnf(3045,plain,
% 117.27/117.31     (~P4(a7,a7,a2,a1,a1,a4,a7,x30451)),
% 117.27/117.31     inference(scs_inference,[],[3009,1846,2572,3005,1606,3021,2632,2861,2420,2971,92,85,90,86,100,84,98,97,89,87,102,99,88])).
% 117.27/117.31  cnf(3049,plain,
% 117.27/117.31     (P4(a1,a7,a1,a8,a1,a8,a6,a2)),
% 117.27/117.31     inference(scs_inference,[],[3009,1846,2572,3005,1606,3021,2632,2861,2420,2940,2971,92,85,90,86,100,84,98,97,89,87,102,99,88,94,101])).
% 117.27/117.31  cnf(3058,plain,
% 117.27/117.31     (~P4(a7,a7,a2,a1,a7,a3,a7,x30581)),
% 117.27/117.31     inference(scs_inference,[],[3009,1982,1846,2572,3005,1606,3021,3036,2632,2861,2988,2420,2940,2971,36,92,85,90,86,100,84,98,97,89,87,102,99,88,94,101,83,91,93,109])).
% 117.27/117.31  cnf(3060,plain,
% 117.27/117.31     (P4(a8,a7,a1,a1,a1,a3,a7,a6)),
% 117.27/117.31     inference(scs_inference,[],[3009,1982,1846,2572,3005,1606,3021,3036,2632,2861,2988,2420,2854,2940,2971,36,57,92,85,90,86,100,84,98,97,89,87,102,99,88,94,101,83,91,93,109,107])).
% 117.27/117.31  cnf(3062,plain,
% 117.27/117.31     (P4(a6,a1,a1,a8,a1,a8,a7,a7)),
% 117.27/117.31     inference(scs_inference,[],[3009,1982,1846,2572,2911,3005,1606,3021,3036,2632,2861,2988,2420,2854,2940,2971,36,57,92,85,90,86,100,84,98,97,89,87,102,99,88,94,101,83,91,93,109,107,104])).
% 117.27/117.31  cnf(3064,plain,
% 117.27/117.31     (P4(a7,a8,a8,a2,a2,a1,a6,a7)),
% 117.27/117.31     inference(scs_inference,[],[3009,1982,1846,2572,2911,3005,1606,3021,3036,2632,2861,2988,2420,2854,2940,2971,36,57,71,92,85,90,86,100,84,98,97,89,87,102,99,88,94,101,83,91,93,109,107,104,111])).
% 117.27/117.31  cnf(3066,plain,
% 117.27/117.31     (P4(a1,a7,a7,a1,a8,a1,a7,a2)),
% 117.27/117.31     inference(scs_inference,[],[3009,1982,1846,2572,2911,3005,1606,3021,3036,2632,2861,2988,2420,2854,2940,2971,36,57,59,71,92,85,90,86,100,84,98,97,89,87,102,99,88,94,101,83,91,93,109,107,104,111,108])).
% 117.27/117.31  cnf(3068,plain,
% 117.27/117.31     (P4(a7,a8,a8,a2,a5,a1,a7,a7)),
% 117.27/117.31     inference(scs_inference,[],[3009,1982,1846,2572,2911,3005,1606,3021,3036,2632,2861,2988,2420,2854,2940,2971,36,57,58,59,71,92,85,90,86,100,84,98,97,89,87,102,99,88,94,101,83,91,93,109,107,104,111,108,103])).
% 117.27/117.31  cnf(3076,plain,
% 117.27/117.31     (~P4(a7,a7,a2,a7,a8,a6,a6,a4)),
% 117.27/117.31     inference(scs_inference,[],[1612,85])).
% 117.27/117.31  cnf(3077,plain,
% 117.27/117.31     (~P4(a7,a7,a2,a7,a4,a6,a6,x30771)),
% 117.27/117.31     inference(rename_variables,[],[1612])).
% 117.27/117.31  cnf(3079,plain,
% 117.27/117.31     (~P4(a7,a1,a2,a7,a1,a6,a7,x30791)),
% 117.27/117.31     inference(scs_inference,[],[1612,2754,85,92])).
% 117.27/117.31  cnf(3081,plain,
% 117.27/117.31     (~P4(a7,a7,a2,a8,a1,a7,a7,a1)),
% 117.27/117.31     inference(scs_inference,[],[1612,2754,2982,85,92,86])).
% 117.27/117.31  cnf(3085,plain,
% 117.27/117.31     (P4(a7,a8,a7,a2,a4,a3,a6,a7)),
% 117.27/117.31     inference(scs_inference,[],[1665,1612,2754,2469,2982,85,92,86,90,100])).
% 117.27/117.31  cnf(3089,plain,
% 117.27/117.31     (P4(a7,a7,a8,a2,a4,a3,a6,a7)),
% 117.27/117.31     inference(scs_inference,[],[1665,1612,2754,2427,2469,2982,85,92,86,90,100,84,98])).
% 117.27/117.31  cnf(3091,plain,
% 117.27/117.31     (~P4(a7,a7,a8,a7,a8,a2,a2,a1)),
% 117.27/117.31     inference(scs_inference,[],[1665,2948,1612,2754,2427,2469,2982,85,92,86,90,100,84,98,89])).
% 117.27/117.31  cnf(3093,plain,
% 117.27/117.31     (P4(a6,a1,a1,a2,a8,a1,a7,a6)),
% 117.27/117.31     inference(scs_inference,[],[1665,2948,1612,2754,2427,2469,2609,2982,85,92,86,90,100,84,98,89,97])).
% 117.27/117.31  cnf(3095,plain,
% 117.27/117.31     (P4(a8,a8,a8,a2,a5,a5,a6,a7)),
% 117.27/117.31     inference(scs_inference,[],[1665,2948,2904,1612,2754,2427,2469,2609,2982,85,92,86,90,100,84,98,89,97,102])).
% 117.27/117.31  cnf(3097,plain,
% 117.27/117.31     (~P4(a7,a7,a2,a8,a3,a6,a7,a1)),
% 117.27/117.31     inference(scs_inference,[],[1665,2948,2904,1612,2754,2878,2427,2469,2609,2982,85,92,86,90,100,84,98,89,97,102,87])).
% 117.27/117.31  cnf(3098,plain,
% 117.27/117.31     (~P4(a7,a7,a2,a1,a3,a6,a7,x30981)),
% 117.27/117.31     inference(rename_variables,[],[2878])).
% 117.27/117.31  cnf(3100,plain,
% 117.27/117.31     (P4(a8,a1,a7,a2,a5,a1,a7,a7)),
% 117.27/117.31     inference(scs_inference,[],[1665,2948,2904,1612,2754,2878,2427,2469,2609,2697,2982,85,92,86,90,100,84,98,89,97,102,87,99])).
% 117.27/117.31  cnf(3102,plain,
% 117.27/117.31     (~P4(a1,a7,a2,a7,a1,a6,a7,x31021)),
% 117.27/117.31     inference(scs_inference,[],[1665,2948,2904,1612,2754,2878,2427,2469,2609,2697,2982,85,92,86,90,100,84,98,89,97,102,87,99,94])).
% 117.27/117.31  cnf(3104,plain,
% 117.27/117.31     (P4(a1,a1,a1,a8,a8,a1,a6,a7)),
% 117.27/117.31     inference(scs_inference,[],[1665,2948,2904,1612,2754,2878,2427,2469,2609,2697,2946,2982,85,92,86,90,100,84,98,89,97,102,87,99,94,101])).
% 117.27/117.31  cnf(3106,plain,
% 117.27/117.31     (~P4(a7,a7,a2,a1,a1,a6,a7,x31061)),
% 117.27/117.31     inference(scs_inference,[],[1665,2948,2904,1612,2754,2878,2427,2469,2609,2697,2946,2982,85,92,86,90,100,84,98,89,97,102,87,99,94,101,88])).
% 117.27/117.31  cnf(3115,plain,
% 117.27/117.31     (P4(a7,a8,a7,a2,a1,a4,a7,a7)),
% 117.27/117.31     inference(scs_inference,[],[1998,1665,2948,2904,1612,3077,2754,2878,2427,2469,2478,2609,2697,2946,2982,58,85,92,86,90,100,84,98,89,97,102,87,99,94,101,88,91,83,93,107])).
% 117.27/117.31  cnf(3117,plain,
% 117.27/117.31     (P4(a7,a8,a7,a8,a2,a8,a6,a7)),
% 117.27/117.31     inference(scs_inference,[],[1998,1665,2948,2904,1612,3077,2754,2878,2427,2469,2478,2609,2697,2819,2946,2982,57,58,85,92,86,90,100,84,98,89,97,102,87,99,94,101,88,91,83,93,107,104])).
% 117.27/117.31  cnf(3119,plain,
% 117.27/117.31     (~P4(a7,a7,a2,a1,a2,a6,a7,x31191)),
% 117.27/117.31     inference(scs_inference,[],[1998,1665,2948,2904,1612,3077,2754,2878,3098,2427,2469,2478,2609,2697,2819,2946,2982,57,58,61,85,92,86,90,100,84,98,89,97,102,87,99,94,101,88,91,83,93,107,104,111])).
% 117.27/117.31  cnf(3121,plain,
% 117.27/117.31     (P4(a1,a7,a7,a8,a8,a1,a7,a7)),
% 117.27/117.31     inference(scs_inference,[],[1998,1665,2948,2904,1612,3077,2754,2878,3098,2427,2469,2478,2609,2697,2819,2882,2946,2982,57,58,61,85,92,86,90,100,84,98,89,97,102,87,99,94,101,88,91,83,93,107,104,111,108])).
% 117.27/117.31  cnf(3125,plain,
% 117.27/117.31     (~P4(a7,a7,a1,a7,a8,a5,a2,a1)),
% 117.27/117.31     inference(scs_inference,[],[1998,1665,2948,2904,1612,3077,2754,2878,3098,2427,2469,2478,2600,2609,2697,2819,2882,2946,2982,57,58,59,61,71,85,92,86,90,100,84,98,89,97,102,87,99,94,101,88,91,83,93,107,104,111,108,103,112])).
% 117.27/117.31  cnf(3131,plain,
% 117.27/117.31     (~P4(a7,a1,a2,a1,a6,a3,a7,x31311)),
% 117.27/117.31     inference(scs_inference,[],[2923,92])).
% 117.27/117.31  cnf(3134,plain,
% 117.27/117.31     (~P4(a7,a7,a2,a7,a4,a7,a6,x31341)),
% 117.27/117.31     inference(rename_variables,[],[1617])).
% 117.27/117.31  cnf(3136,plain,
% 117.27/117.31     (~P4(a7,a7,a1,a8,a6,a4,a2,a7)),
% 117.27/117.31     inference(scs_inference,[],[1797,1617,2923,92,85,90])).
% 117.27/117.31  cnf(3138,plain,
% 117.27/117.31     (~P4(a7,a7,a2,a7,a1,a1,a7,x31381)),
% 117.27/117.31     inference(scs_inference,[],[1797,1617,2923,1151,92,85,90,86])).
% 117.27/117.31  cnf(3140,plain,
% 117.27/117.31     (P4(a7,a8,a7,a2,a2,a5,a6,a7)),
% 117.27/117.31     inference(scs_inference,[],[1797,1617,2923,2471,1151,92,85,90,86,100])).
% 117.27/117.31  cnf(3144,plain,
% 117.27/117.31     (P4(a7,a7,a8,a2,a2,a5,a6,a7)),
% 117.27/117.31     inference(scs_inference,[],[1797,1617,2923,2452,2471,1151,92,85,90,86,100,84,98])).
% 117.27/117.31  cnf(3147,plain,
% 117.27/117.31     (~P4(a7,a7,a2,a7,a4,a7,a6,x31471)),
% 117.27/117.31     inference(rename_variables,[],[1617])).
% 117.27/117.31  cnf(3149,plain,
% 117.27/117.31     (P4(a1,a7,a1,a2,a1,a4,a7,a7)),
% 117.27/117.31     inference(scs_inference,[],[1797,1617,3134,2923,2452,2471,2734,1151,92,85,90,86,100,84,98,89,97])).
% 117.27/117.31  cnf(3151,plain,
% 117.27/117.31     (~P4(a7,a7,a2,a8,a6,a3,a7,a1)),
% 117.27/117.31     inference(scs_inference,[],[1797,1617,3134,2923,2452,2471,2734,1151,92,85,90,86,100,84,98,89,97,87])).
% 117.27/117.31  cnf(3152,plain,
% 117.27/117.31     (~P4(a7,a7,a2,a1,a6,a3,a7,x31521)),
% 117.27/117.31     inference(rename_variables,[],[2923])).
% 117.27/117.31  cnf(3154,plain,
% 117.27/117.31     (P4(a8,a1,a1,a2,a4,a4,a7,a6)),
% 117.27/117.31     inference(scs_inference,[],[1797,2921,1617,3134,2923,2452,2471,2734,1151,92,85,90,86,100,84,98,89,97,87,102])).
% 117.27/117.31  cnf(3156,plain,
% 117.27/117.31     (P4(a1,a1,a7,a2,a1,a4,a7,a7)),
% 117.27/117.31     inference(scs_inference,[],[1797,2921,1617,3134,2923,2452,2471,2734,1151,92,85,90,86,100,84,98,89,97,87,102,99])).
% 117.27/117.31  cnf(3158,plain,
% 117.27/117.31     (~P4(a1,a7,a2,a1,a6,a3,a7,x31581)),
% 117.27/117.31     inference(scs_inference,[],[1797,2921,1617,3134,2923,3152,2452,2471,2734,1151,92,85,90,86,100,84,98,89,97,87,102,99,94])).
% 117.27/117.31  cnf(3160,plain,
% 117.27/117.31     (~P4(a7,a7,a2,a7,a4,a8,a6,a7)),
% 117.27/117.31     inference(scs_inference,[],[1797,2921,1617,3134,3147,2923,3152,2452,2471,2734,1151,92,85,90,86,100,84,98,89,97,87,102,99,94,83])).
% 117.27/117.31  cnf(3163,plain,
% 117.27/117.31     (~P4(a7,a1,a2,a1,a1,a6,a7,x31631)),
% 117.27/117.31     inference(scs_inference,[],[1797,2921,1617,3134,3147,2923,3152,3079,2452,2471,2734,1151,92,85,90,86,100,84,98,89,97,87,102,99,94,83,88])).
% 117.27/117.31  cnf(3171,plain,
% 117.27/117.31     (P4(a6,a1,a1,a2,a1,a3,a6,a6)),
% 117.27/117.31     inference(scs_inference,[],[1890,1797,2921,1617,3134,3147,2923,3152,3079,2452,2471,2730,2734,3068,1151,60,92,85,90,86,100,84,98,89,97,87,102,99,94,83,88,91,101,93,107])).
% 117.27/117.31  cnf(3173,plain,
% 117.27/117.31     (~P4(a7,a7,a2,a1,a7,a4,a7,x31731)),
% 117.27/117.31     inference(scs_inference,[],[1890,1797,2921,1617,3134,3147,2923,3152,3045,3079,2452,2471,2730,2734,3068,1151,43,60,92,85,90,86,100,84,98,89,97,87,102,99,94,83,88,91,101,93,107,109])).
% 117.27/117.31  cnf(3175,plain,
% 117.27/117.31     (P4(a6,a8,a7,a8,a1,a8,a7,a6)),
% 117.27/117.31     inference(scs_inference,[],[1890,1797,2921,1617,3134,3147,2923,3152,3045,3079,2452,2471,2730,2734,2784,3068,1151,43,60,92,85,90,86,100,84,98,89,97,87,102,99,94,83,88,91,101,93,107,109,104])).
% 117.27/117.31  cnf(3179,plain,
% 117.27/117.31     (P4(a1,a8,a7,a1,a8,a1,a7,a6)),
% 117.27/117.31     inference(scs_inference,[],[1890,1797,2921,1617,3134,3147,2923,3152,3045,3079,2452,2471,2730,2734,2784,3027,3068,1151,43,60,69,92,85,90,86,100,84,98,89,97,87,102,99,94,83,88,91,101,93,107,109,104,111,108])).
% 117.27/117.31  cnf(3181,plain,
% 117.27/117.31     (P4(a6,a1,a1,a8,a8,a1,a6,a6)),
% 117.27/117.31     inference(scs_inference,[],[1890,1797,2921,2944,1617,3134,3147,2923,3152,3045,3079,2452,2471,2730,2734,2784,3027,3068,1151,43,60,69,92,85,90,86,100,84,98,89,97,87,102,99,94,83,88,91,101,93,107,109,104,111,108,103])).
% 117.27/117.31  cnf(3183,plain,
% 117.27/117.31     (P4(a6,a1,a1,a2,a8,a4,a7,a6)),
% 117.27/117.31     inference(scs_inference,[],[1890,1797,2921,2944,1617,3134,3147,2923,3152,3045,3079,2452,2471,2730,2734,2784,3027,3068,1151,43,44,60,69,92,85,90,86,100,84,98,89,97,87,102,99,94,83,88,91,101,93,107,109,104,111,108,103,110])).
% 117.27/117.31  cnf(3187,plain,
% 117.27/117.31     (P4(a6,a1,a1,a2,a4,a8,a7,a6)),
% 117.27/117.31     inference(scs_inference,[],[1890,1797,2921,2944,1617,3134,3147,2923,3152,3045,3079,2452,2471,2730,2734,2784,3027,3068,1151,43,44,60,69,92,85,90,86,100,84,98,89,97,87,102,99,94,83,88,91,101,93,107,109,104,111,108,103,110,112,264])).
% 117.27/117.31  cnf(3193,plain,
% 117.27/117.31     (~P4(a7,a7,a2,a1,a8,a1,a7,a1)),
% 117.27/117.31     inference(scs_inference,[],[3025,85])).
% 117.27/117.31  cnf(3197,plain,
% 117.27/117.31     (~P4(a7,a7,a2,a7,a1,a1,a6,x31971)),
% 117.27/117.31     inference(scs_inference,[],[3025,145,85,92,86])).
% 117.27/117.31  cnf(3199,plain,
% 117.27/117.31     (~P4(a7,a7,a1,a8,a5,a6,a2,a7)),
% 117.27/117.31     inference(scs_inference,[],[1534,3025,145,85,92,86,90])).
% 117.27/117.31  cnf(3203,plain,
% 117.27/117.31     (~P4(a7,a7,a2,a8,a1,a1,a7,a1)),
% 117.27/117.31     inference(scs_inference,[],[1534,3025,3081,2485,145,85,92,86,90,100,84])).
% 117.27/117.31  cnf(3205,plain,
% 117.27/117.31     (P4(a7,a8,a8,a2,a4,a1,a6,a7)),
% 117.27/117.31     inference(scs_inference,[],[1534,3025,3081,2473,2485,145,85,92,86,90,100,84,98])).
% 117.27/117.31  cnf(3210,plain,
% 117.27/117.31     (P4(a8,a7,a1,a8,a1,a8,a7,a6)),
% 117.27/117.31     inference(scs_inference,[],[1534,3025,3081,1621,2473,2485,2798,145,85,92,86,90,100,84,98,89,97])).
% 117.27/117.31  cnf(3212,plain,
% 117.27/117.31     (P4(a8,a1,a1,a2,a8,a4,a7,a6)),
% 117.27/117.31     inference(scs_inference,[],[1534,3183,3025,3081,1621,2473,2485,2798,145,85,92,86,90,100,84,98,89,97,102])).
% 117.27/117.31  cnf(3214,plain,
% 117.27/117.31     (~P4(a7,a7,a2,a8,a7,a3,a7,a1)),
% 117.27/117.31     inference(scs_inference,[],[1534,3183,3025,3081,1621,3058,2473,2485,2798,145,85,92,86,90,100,84,98,89,97,102,87])).
% 117.27/117.31  cnf(3217,plain,
% 117.27/117.31     (P4(a6,a1,a1,a1,a8,a1,a7,a6)),
% 117.27/117.31     inference(scs_inference,[],[1534,3183,3025,3081,1621,3058,2473,2485,2758,2798,145,85,92,86,90,100,84,98,89,97,102,87,99])).
% 117.27/117.31  cnf(3219,plain,
% 117.27/117.31     (P4(a1,a8,a7,a2,a1,a4,a7,a7)),
% 117.27/117.31     inference(scs_inference,[],[1534,3183,3025,3081,1621,3058,2473,2485,2758,2798,3115,145,85,92,86,90,100,84,98,89,97,102,87,99,101])).
% 117.27/117.31  cnf(3221,plain,
% 117.27/117.31     (~P4(a1,a7,a2,a1,a1,a6,a7,x32211)),
% 117.27/117.31     inference(scs_inference,[],[1534,3183,3025,3081,1621,3058,3102,2473,2485,2758,2798,3115,145,85,92,86,90,100,84,98,89,97,102,87,99,101,88])).
% 117.27/117.31  cnf(3227,plain,
% 117.27/117.31     (~P4(a7,a7,a2,a1,a1,a8,a7,a1)),
% 117.27/117.31     inference(scs_inference,[],[1935,1534,3183,3025,3081,1621,3058,3102,2473,2485,2758,2798,3115,145,85,92,86,90,100,84,98,89,97,102,87,99,101,88,91,94,83])).
% 117.27/117.31  cnf(3231,plain,
% 117.27/117.31     (P4(a7,a7,a8,a2,a1,a4,a7,a7)),
% 117.27/117.31     inference(scs_inference,[],[1935,1534,3183,3025,3081,1621,3058,3102,2473,2485,2758,2798,3115,145,58,85,92,86,90,100,84,98,89,97,102,87,99,101,88,91,94,83,93,107])).
% 117.27/117.31  cnf(3233,plain,
% 117.27/117.31     (P4(a6,a7,a8,a8,a1,a8,a7,a2)),
% 117.27/117.31     inference(scs_inference,[],[1935,1534,3183,3025,3081,1621,3058,3102,2473,2485,2758,2788,2798,3115,145,58,59,85,92,86,90,100,84,98,89,97,102,87,99,101,88,91,94,83,93,107,104])).
% 117.27/117.31  cnf(3235,plain,
% 117.27/117.31     (~P4(a7,a1,a2,a1,a3,a3,a7,x32351)),
% 117.27/117.31     inference(scs_inference,[],[1935,1534,3183,3025,3081,1621,3058,3102,3131,2473,2485,2758,2788,2798,3115,145,68,58,59,85,92,86,90,100,84,98,89,97,102,87,99,101,88,91,94,83,93,107,104,111])).
% 117.27/117.31  cnf(3237,plain,
% 117.27/117.31     (P4(a6,a1,a1,a2,a8,a4,a7,a7)),
% 117.27/117.31     inference(scs_inference,[],[1935,1534,3183,3025,3081,1621,3058,3102,3131,2473,2485,2758,2788,2798,3115,145,68,58,59,85,92,86,90,100,84,98,89,97,102,87,99,101,88,91,94,83,93,107,104,111,108])).
% 117.27/117.31  cnf(3241,plain,
% 117.27/117.31     (~P4(a7,a7,a8,a7,a1,a2,a2,a1)),
% 117.27/117.31     inference(scs_inference,[],[1935,1534,3183,3025,3081,3093,1621,3058,3102,3131,2473,2485,2758,2788,2798,3091,3115,145,16,68,58,59,85,92,86,90,100,84,98,89,97,102,87,99,101,88,91,94,83,93,107,104,111,108,103,110])).
% 117.27/117.31  cnf(3243,plain,
% 117.27/117.31     (~P4(a7,a7,a2,a8,a1,a5,a7,a1)),
% 117.27/117.31     inference(scs_inference,[],[1935,1534,3183,3025,3081,3093,1621,3058,3102,3131,2473,2485,2758,2788,2798,3091,3115,145,16,68,58,59,72,85,92,86,90,100,84,98,89,97,102,87,99,101,88,91,94,83,93,107,104,111,108,103,110,112])).
% 117.27/117.31  cnf(3245,plain,
% 117.27/117.31     (P4(a6,a1,a1,a1,a8,a1,a2,a6)),
% 117.27/117.31     inference(scs_inference,[],[1935,1534,3183,3025,3081,3093,1621,3058,3102,3131,2473,2485,2758,2788,2798,3091,3115,145,16,68,58,59,72,85,92,86,90,100,84,98,89,97,102,87,99,101,88,91,94,83,93,107,104,111,108,103,110,112,95])).
% 117.27/117.31  cnf(3247,plain,
% 117.27/117.31     (~P4(a1,a7,a2,a7,a7,a6,a7,x32471)),
% 117.27/117.31     inference(scs_inference,[],[1935,1534,3183,3025,3081,3093,1621,3058,3102,3131,2473,2485,2758,2788,2798,3091,3115,145,16,22,68,58,59,72,85,92,86,90,100,84,98,89,97,102,87,99,101,88,91,94,83,93,107,104,111,108,103,110,112,95,109])).
% 117.27/117.31  cnf(3253,plain,
% 117.27/117.31     (~P4(a7,a1,a2,a8,a1,a1,a7,a1)),
% 117.27/117.31     inference(scs_inference,[],[3203,92])).
% 117.27/117.31  cnf(3255,plain,
% 117.27/117.31     (~P4(a7,a7,a2,a8,a8,a1,a7,a1)),
% 117.27/117.31     inference(scs_inference,[],[3203,92,85])).
% 117.27/117.31  cnf(3257,plain,
% 117.27/117.31     (~P4(a7,a7,a1,a8,a6,a6,a2,a7)),
% 117.27/117.31     inference(scs_inference,[],[1675,3203,92,85,90])).
% 117.27/117.31  cnf(3259,plain,
% 117.27/117.31     (~P4(a7,a7,a2,a8,a1,a3,a7,a1)),
% 117.27/117.31     inference(scs_inference,[],[1675,3203,3214,92,85,90,86])).
% 117.27/117.31  cnf(3263,plain,
% 117.27/117.31     (~P4(a7,a8,a2,a7,a7,a1,a7,a7)),
% 117.27/117.31     inference(scs_inference,[],[1675,3203,2467,2487,3214,92,85,90,86,100,84])).
% 117.27/117.31  cnf(3265,plain,
% 117.27/117.31     (P4(a8,a7,a8,a2,a1,a4,a6,a7)),
% 117.27/117.31     inference(scs_inference,[],[1675,3203,2467,2487,3214,92,85,90,86,100,84,98])).
% 117.27/117.31  cnf(3270,plain,
% 117.27/117.31     (~P4(a7,a7,a2,a8,a1,a6,a7,a1)),
% 117.27/117.31     inference(scs_inference,[],[1675,3203,1813,3106,2467,2487,3214,92,85,90,86,100,84,98,89,87])).
% 117.27/117.31  cnf(3273,plain,
% 117.27/117.31     (P4(a8,a1,a1,a2,a4,a8,a7,a6)),
% 117.27/117.31     inference(scs_inference,[],[1675,3187,3203,1813,3106,2467,2487,3214,92,85,90,86,100,84,98,89,87,102])).
% 117.27/117.31  cnf(3275,plain,
% 117.27/117.31     (P4(a6,a1,a1,a8,a1,a8,a7,a6)),
% 117.27/117.31     inference(scs_inference,[],[1675,3187,3203,1813,3106,2467,2487,2800,3214,92,85,90,86,100,84,98,89,87,102,97])).
% 117.27/117.31  cnf(3277,plain,
% 117.27/117.31     (P4(a1,a1,a1,a2,a1,a4,a7,a6)),
% 117.27/117.31     inference(scs_inference,[],[1675,3187,3203,1813,3106,2467,2487,2800,2815,3214,92,85,90,86,100,84,98,89,87,102,97,99])).
% 117.27/117.31  cnf(3285,plain,
% 117.27/117.31     (~P4(a7,a7,a2,a1,a1,a1,a7,x32851)),
% 117.27/117.31     inference(scs_inference,[],[1989,1675,3187,3203,1813,3106,3138,2467,2487,2800,2815,3214,92,85,90,86,100,84,98,89,87,102,97,99,91,83,94,88])).
% 117.27/117.31  cnf(3287,plain,
% 117.27/117.31     (P4(a1,a1,a1,a2,a1,a3,a6,a6)),
% 117.27/117.31     inference(scs_inference,[],[1989,1675,3187,3203,1813,3106,3138,2467,2487,2800,2815,3171,3214,92,85,90,86,100,84,98,89,87,102,97,99,91,83,94,88,101])).
% 117.27/117.31  cnf(3291,plain,
% 117.27/117.31     (P4(a8,a7,a7,a2,a1,a4,a7,a7)),
% 117.27/117.31     inference(scs_inference,[],[1989,1675,3187,3203,1813,3106,3138,2467,2487,2800,2815,3171,3214,58,92,85,90,86,100,84,98,89,87,102,97,99,91,83,94,88,101,93,107])).
% 117.27/117.31  cnf(3293,plain,
% 117.27/117.31     (P4(a6,a1,a1,a2,a4,a8,a7,a7)),
% 117.27/117.31     inference(scs_inference,[],[1989,1675,3187,3203,1813,3106,3138,2467,2487,2800,2815,3171,3214,58,92,85,90,86,100,84,98,89,87,102,97,99,91,83,94,88,101,93,107,104])).
% 117.27/117.31  cnf(3297,plain,
% 117.27/117.31     (P4(a1,a7,a8,a1,a8,a1,a7,a2)),
% 117.27/117.31     inference(scs_inference,[],[1989,1675,3187,3203,1813,3106,3138,2467,2487,2800,2815,3031,3171,3214,58,59,69,92,85,90,86,100,84,98,89,87,102,97,99,91,83,94,88,101,93,107,104,111,108])).
% 117.27/117.31  cnf(3299,plain,
% 117.27/117.31     (~P4(a7,a7,a2,a1,a8,a7,a7,a1)),
% 117.27/117.31     inference(scs_inference,[],[8,1989,1675,3187,3203,1813,3106,3138,2467,2487,2800,2815,3031,3171,3193,3214,58,59,69,92,85,90,86,100,84,98,89,87,102,97,99,91,83,94,88,101,93,107,104,111,108,105])).
% 117.27/117.31  cnf(3301,plain,
% 117.27/117.31     (P4(a7,a7,a8,a2,a4,a1,a7,a7)),
% 117.27/117.31     inference(scs_inference,[],[8,1989,1675,3187,2711,3203,1813,3106,3138,2467,2487,2800,2815,3031,3171,3193,3214,58,59,69,92,85,90,86,100,84,98,89,87,102,97,99,91,83,94,88,101,93,107,104,111,108,105,103])).
% 117.27/117.31  cnf(3310,plain,
% 117.27/117.31     (~P4(a7,a7,a2,a7,a7,a5,a6,x33101)),
% 117.27/117.31     inference(rename_variables,[],[1818])).
% 117.27/117.31  cnf(3312,plain,
% 117.27/117.31     (~P4(a7,a1,a2,a1,a2,a6,a7,x33121)),
% 117.27/117.31     inference(scs_inference,[],[1818,3119,85,92])).
% 117.27/117.31  cnf(3314,plain,
% 117.27/117.31     (~P4(a7,a8,a2,a7,a1,a1,a7,a7)),
% 117.27/117.31     inference(scs_inference,[],[1818,3119,3263,85,92,86])).
% 117.27/117.31  cnf(3316,plain,
% 117.27/117.31     (~P4(a7,a8,a1,a7,a1,a5,a2,a7)),
% 117.27/117.31     inference(scs_inference,[],[1818,3119,2269,3263,85,92,86,90])).
% 117.27/117.31  cnf(3318,plain,
% 117.27/117.31     (P4(a7,a8,a8,a2,a4,a5,a6,a7)),
% 117.27/117.31     inference(scs_inference,[],[1818,3119,2269,2542,3263,85,92,86,90,100])).
% 117.27/117.31  cnf(3322,plain,
% 117.27/117.31     (P4(a8,a7,a8,a2,a4,a5,a6,a7)),
% 117.27/117.31     inference(scs_inference,[],[1818,3119,2269,2537,2542,2547,3263,85,92,86,90,100,84,98])).
% 117.27/117.31  cnf(3325,plain,
% 117.27/117.31     (~P4(a7,a7,a2,a7,a7,a5,a6,x33251)),
% 117.27/117.31     inference(rename_variables,[],[1818])).
% 117.27/117.31  cnf(3327,plain,
% 117.27/117.31     (P4(a8,a8,a8,a2,a4,a1,a6,a7)),
% 117.27/117.31     inference(scs_inference,[],[3205,1818,3310,3119,2269,2537,2542,2547,3263,85,92,86,90,100,84,98,89,102])).
% 117.27/117.31  cnf(3329,plain,
% 117.27/117.31     (P4(a6,a1,a1,a2,a1,a8,a7,a7)),
% 117.27/117.31     inference(scs_inference,[],[3205,1818,3310,3119,2269,2537,2542,2547,2874,3263,85,92,86,90,100,84,98,89,102,97])).
% 117.27/117.31  cnf(3331,plain,
% 117.27/117.31     (~P4(a7,a7,a2,a8,a2,a6,a7,a1)),
% 117.27/117.31     inference(scs_inference,[],[3205,1818,3310,3119,2269,2537,2542,2547,2874,3263,85,92,86,90,100,84,98,89,102,97,87])).
% 117.27/117.31  cnf(3332,plain,
% 117.27/117.31     (~P4(a7,a7,a2,a1,a2,a6,a7,x33321)),
% 117.27/117.31     inference(rename_variables,[],[3119])).
% 117.27/117.31  cnf(3334,plain,
% 117.27/117.31     (P4(a6,a1,a1,a1,a8,a1,a7,a2)),
% 117.27/117.31     inference(scs_inference,[],[3205,1818,3310,3119,2269,2537,2542,2547,2874,2880,3263,85,92,86,90,100,84,98,89,102,97,87,99])).
% 117.27/117.31  cnf(3336,plain,
% 117.27/117.31     (P4(a1,a1,a1,a8,a8,a1,a6,a6)),
% 117.27/117.31     inference(scs_inference,[],[3205,1818,3310,3119,2269,2537,2542,2547,2874,2880,3181,3263,85,92,86,90,100,84,98,89,102,97,87,99,101])).
% 117.27/117.31  cnf(3338,plain,
% 117.27/117.31     (~P4(a1,a7,a2,a1,a2,a6,a7,x33381)),
% 117.27/117.31     inference(scs_inference,[],[3205,1818,3310,3119,3332,2269,2537,2542,2547,2874,2880,3181,3263,85,92,86,90,100,84,98,89,102,97,87,99,101,94])).
% 117.27/117.31  cnf(3340,plain,
% 117.27/117.31     (~P4(a1,a7,a2,a1,a7,a6,a7,x33401)),
% 117.27/117.31     inference(scs_inference,[],[3205,1818,3310,3119,3332,3247,2269,2537,2542,2547,2874,2880,3181,3263,85,92,86,90,100,84,98,89,102,97,87,99,101,94,88])).
% 117.27/117.31  cnf(3349,plain,
% 117.27/117.31     (P4(a6,a1,a1,a8,a1,a8,a2,a6)),
% 117.27/117.31     inference(scs_inference,[],[1886,3205,3275,1818,3310,3325,3119,3332,3247,2269,2537,2542,2547,2874,2880,3181,3263,59,85,92,86,90,100,84,98,89,102,97,87,99,101,94,88,91,83,93,107])).
% 117.27/117.31  cnf(3351,plain,
% 117.27/117.31     (~P4(a7,a7,a8,a7,a2,a2,a2,a1)),
% 117.27/117.31     inference(scs_inference,[],[1886,3205,3241,3275,1818,3310,3325,3119,3332,3247,2269,2537,2542,2547,2874,2880,3181,3263,15,59,85,92,86,90,100,84,98,89,102,97,87,99,101,94,88,91,83,93,107,109])).
% 117.27/117.31  cnf(3353,plain,
% 117.27/117.31     (P4(a6,a7,a7,a1,a1,a8,a7,a7)),
% 117.27/117.31     inference(scs_inference,[],[1886,3205,3241,3275,1818,3310,3325,3119,3332,3247,2269,2537,2542,2547,2874,2880,3001,3181,3263,15,57,59,85,92,86,90,100,84,98,89,102,97,87,99,101,94,88,91,83,93,107,109,104])).
% 117.27/117.31  cnf(3355,plain,
% 117.27/117.31     (~P4(a1,a7,a2,a1,a3,a3,a7,x33551)),
% 117.27/117.31     inference(scs_inference,[],[1886,3205,3241,3275,1818,3310,3325,3119,3332,3158,3247,2269,2537,2542,2547,2874,2880,3001,3181,3263,15,68,57,59,85,92,86,90,100,84,98,89,102,97,87,99,101,94,88,91,83,93,107,109,104,111])).
% 117.27/117.31  cnf(3357,plain,
% 117.27/117.31     (P4(a6,a1,a1,a1,a8,a1,a2,a7)),
% 117.27/117.31     inference(scs_inference,[],[1886,3205,3245,3241,3275,1818,3310,3325,3119,3332,3158,3247,2269,2537,2542,2547,2874,2880,3001,3181,3263,15,68,57,59,58,85,92,86,90,100,84,98,89,102,97,87,99,101,94,88,91,83,93,107,109,104,111,108])).
% 117.27/117.31  cnf(3359,plain,
% 117.27/117.31     (P4(a6,a7,a1,a8,a8,a1,a2,a6)),
% 117.27/117.31     inference(scs_inference,[],[1886,3205,3245,3241,3275,1818,3310,3325,3119,3332,3158,3247,2269,2537,2542,2547,2695,2874,2880,3001,3181,3263,15,68,57,59,58,85,92,86,90,100,84,98,89,102,97,87,99,101,94,88,91,83,93,107,109,104,111,108,103])).
% 117.27/117.31  cnf(3361,plain,
% 117.27/117.31     (~P4(a7,a7,a8,a7,a1,a5,a2,a1)),
% 117.27/117.31     inference(scs_inference,[],[1886,3205,3245,3241,3275,1818,3310,3325,3119,3332,3158,3247,2269,2537,2542,2547,2695,2874,2880,3001,3181,3263,15,68,57,59,71,58,85,92,86,90,100,84,98,89,102,97,87,99,101,94,88,91,83,93,107,109,104,111,108,103,112])).
% 117.27/117.31  cnf(3365,plain,
% 117.27/117.31     (~P4(a7,a7,a1,a7,a1,a5,a2,a1)),
% 117.27/117.31     inference(scs_inference,[],[1886,3205,3245,3241,3275,1818,3310,3325,3119,3332,3158,3247,2269,2537,2542,2547,2695,2874,2880,3001,3125,3181,3263,767,15,51,68,57,59,71,58,85,92,86,90,100,84,98,89,102,97,87,99,101,94,88,91,83,93,107,109,104,111,108,103,112,106,110])).
% 117.27/117.31  cnf(3370,plain,
% 117.27/117.31     (~P4(a7,a7,a2,a7,a1,a3,a6,x33701)),
% 117.27/117.31     inference(rename_variables,[],[2514])).
% 117.27/117.31  cnf(3372,plain,
% 117.27/117.31     (~P4(a7,a1,a2,a1,a7,a4,a7,x33721)),
% 117.27/117.31     inference(scs_inference,[],[2514,3173,85,92])).
% 117.27/117.31  cnf(3376,plain,
% 117.27/117.31     (~P4(a7,a1,a2,a1,a1,a4,a7,x33761)),
% 117.27/117.31     inference(scs_inference,[],[2514,3173,2277,85,92,90,86])).
% 117.27/117.31  cnf(3378,plain,
% 117.27/117.31     (P4(a8,a8,a7,a2,a1,a5,a6,a7)),
% 117.27/117.31     inference(scs_inference,[],[2514,3173,2277,2665,85,92,90,86,100])).
% 117.27/117.31  cnf(3382,plain,
% 117.27/117.31     (P4(a8,a7,a8,a2,a1,a5,a6,a7)),
% 117.27/117.31     inference(scs_inference,[],[2514,3173,2277,2569,2665,85,92,90,86,100,84,98])).
% 117.27/117.31  cnf(3384,plain,
% 117.27/117.31     (~P4(a7,a7,a8,a7,a1,a3,a6,a2)),
% 117.27/117.31     inference(scs_inference,[],[2514,3370,3173,2277,2569,2665,85,92,90,86,100,84,98,89])).
% 117.27/117.31  cnf(3385,plain,
% 117.27/117.31     (~P4(a7,a7,a2,a7,a1,a3,a6,x33851)),
% 117.27/117.31     inference(rename_variables,[],[2514])).
% 117.27/117.31  cnf(3389,plain,
% 117.27/117.31     (P4(a1,a7,a1,a2,a1,a5,a7,a7)),
% 117.27/117.31     inference(scs_inference,[],[3217,2514,3370,3173,2277,2569,2665,2925,85,92,90,86,100,84,98,89,102,97])).
% 117.27/117.31  cnf(3391,plain,
% 117.27/117.31     (~P4(a7,a1,a2,a8,a1,a6,a7,a1)),
% 117.27/117.31     inference(scs_inference,[],[3217,2514,3370,3163,3173,2277,2569,2665,2925,85,92,90,86,100,84,98,89,102,97,87])).
% 117.27/117.31  cnf(3392,plain,
% 117.27/117.31     (~P4(a7,a1,a2,a1,a1,a6,a7,x33921)),
% 117.27/117.31     inference(rename_variables,[],[3163])).
% 117.27/117.31  cnf(3394,plain,
% 117.27/117.31     (P4(a1,a1,a7,a2,a1,a5,a7,a7)),
% 117.27/117.31     inference(scs_inference,[],[3217,2514,3370,3163,3173,2277,2569,2665,2925,85,92,90,86,100,84,98,89,102,97,87,99])).
% 117.27/117.31  cnf(3396,plain,
% 117.27/117.31     (~P4(a1,a1,a2,a1,a1,a6,a7,x33961)),
% 117.27/117.31     inference(scs_inference,[],[3217,2514,3370,3163,3392,3173,2277,2569,2665,2925,85,92,90,86,100,84,98,89,102,97,87,99,94])).
% 117.27/117.31  cnf(3398,plain,
% 117.27/117.31     (P4(a1,a7,a8,a2,a1,a4,a7,a7)),
% 117.27/117.31     inference(scs_inference,[],[3217,2514,3370,3163,3392,3173,2277,2569,2665,2925,3231,85,92,90,86,100,84,98,89,102,97,87,99,94,101])).
% 117.27/117.31  cnf(3400,plain,
% 117.27/117.31     (~P4(a1,a7,a2,a1,a1,a4,a7,a7)),
% 117.27/117.31     inference(scs_inference,[],[3217,2514,3370,3163,3392,3173,2267,2277,2569,2665,2925,3231,85,92,90,86,100,84,98,89,102,97,87,99,94,101,88])).
% 117.27/117.31  cnf(3402,plain,
% 117.27/117.31     (~P4(a7,a8,a2,a7,a1,a3,a6,a7)),
% 117.27/117.31     inference(scs_inference,[],[3217,2514,3370,3385,3163,3392,3173,2267,2277,2569,2665,2925,3231,85,92,90,86,100,84,98,89,102,97,87,99,94,101,88,91])).
% 117.27/117.31  cnf(3403,plain,
% 117.27/117.31     (~P4(a7,a7,a2,a7,a1,a3,a6,x34031)),
% 117.27/117.31     inference(rename_variables,[],[2514])).
% 117.27/117.31  cnf(3405,plain,
% 117.27/117.31     (~P4(a7,a7,a2,a7,a1,a8,a6,a3)),
% 117.27/117.31     inference(scs_inference,[],[3217,2514,3370,3385,3403,3163,3392,3173,2267,2277,2569,2665,2925,3231,85,92,90,86,100,84,98,89,102,97,87,99,94,101,88,91,83])).
% 117.27/117.31  cnf(3406,plain,
% 117.27/117.31     (~P4(a7,a7,a2,a7,a1,a3,a6,x34061)),
% 117.27/117.31     inference(rename_variables,[],[2514])).
% 117.27/117.31  cnf(3408,plain,
% 117.27/117.31     (~P4(a8,a7,a2,a7,a1,a3,a6,a7)),
% 117.27/117.31     inference(scs_inference,[],[3217,2514,3370,3385,3403,3406,3163,3392,3173,2267,2277,2569,2665,2925,3231,85,92,90,86,100,84,98,89,102,97,87,99,94,101,88,91,83,93])).
% 117.27/117.31  cnf(3411,plain,
% 117.27/117.31     (P4(a6,a7,a1,a8,a1,a8,a6,a6)),
% 117.27/117.31     inference(scs_inference,[],[3217,2514,3370,3385,3403,3406,3163,3392,3173,2267,2277,2569,2665,2793,2925,3231,60,85,92,90,86,100,84,98,89,102,97,87,99,94,101,88,91,83,93,107])).
% 117.27/117.31  cnf(3417,plain,
% 117.27/117.31     (P4(a1,a7,a1,a8,a8,a1,a6,a7)),
% 117.27/117.31     inference(scs_inference,[],[3217,3318,2514,3370,3385,3403,3406,3163,3392,3173,2267,2277,2569,2665,2793,2925,2969,2986,3231,57,60,69,85,92,90,86,100,84,98,89,102,97,87,99,94,101,88,91,83,93,107,104,111,108])).
% 117.27/117.31  cnf(3421,plain,
% 117.27/117.31     (P4(a6,a1,a1,a1,a8,a1,a6,a6)),
% 117.27/117.31     inference(scs_inference,[],[8,3217,3318,2514,3370,3385,3403,3406,3163,3392,3173,2267,2277,2569,2665,2793,2925,2969,2986,3231,3255,57,60,69,85,92,90,86,100,84,98,89,102,97,87,99,94,101,88,91,83,93,107,104,111,108,105,103])).
% 117.27/117.31  cnf(3425,plain,
% 117.27/117.31     (P4(a7,a8,a8,a2,a4,a8,a6,a7)),
% 117.27/117.31     inference(scs_inference,[],[8,3217,3318,2514,3370,3385,3403,3406,3163,3392,3173,2267,2277,2569,2665,2793,2925,2969,2986,3231,3255,57,60,69,72,85,92,90,86,100,84,98,89,102,97,87,99,94,101,88,91,83,93,107,104,111,108,105,103,112,264])).
% 117.27/117.31  cnf(3427,plain,
% 117.27/117.31     (P4(a7,a8,a8,a2,a1,a5,a6,a7)),
% 117.27/117.31     inference(scs_inference,[],[8,3217,3318,2514,3370,3385,3403,3406,3163,3392,3173,2267,2277,2569,2665,2793,2925,2969,2986,3231,3255,57,60,69,72,85,92,90,86,100,84,98,89,102,97,87,99,94,101,88,91,83,93,107,104,111,108,105,103,112,264,417])).
% 117.27/117.31  cnf(3433,plain,
% 117.27/117.31     (~P4(a8,a8,a2,a7,a1,a1,a7,a7)),
% 117.27/117.31     inference(scs_inference,[],[3314,93])).
% 117.27/117.31  cnf(3439,plain,
% 117.27/117.31     (~P4(a7,a1,a2,a1,a1,a7,a7,a1)),
% 117.27/117.31     inference(scs_inference,[],[2965,3259,3314,2327,93,85,90,92])).
% 117.27/117.31  cnf(3441,plain,
% 117.27/117.31     (P4(a6,a8,a1,a8,a1,a8,a7,a7)),
% 117.27/117.31     inference(scs_inference,[],[2935,2965,3259,3314,2327,93,85,90,92,100])).
% 117.27/117.31  cnf(3443,plain,
% 117.27/117.31     (~P4(a7,a1,a2,a7,a7,a1,a7,a7)),
% 117.27/117.31     inference(scs_inference,[],[2935,2965,3259,3314,2327,2584,93,85,90,92,100,84])).
% 117.27/117.31  cnf(3445,plain,
% 117.27/117.31     (P4(a7,a7,a8,a2,a1,a2,a6,a7)),
% 117.27/117.31     inference(scs_inference,[],[2935,2965,3259,3314,2327,2584,2705,93,85,90,92,100,84,98])).
% 117.27/117.31  cnf(3448,plain,
% 117.27/117.31     (~P4(a7,a7,a2,a7,a1,a7,a6,x34481)),
% 117.27/117.31     inference(rename_variables,[],[2646])).
% 117.27/117.31  cnf(3450,plain,
% 117.27/117.31     (P4(a8,a7,a8,a2,a4,a4,a6,a7)),
% 117.27/117.31     inference(scs_inference,[],[2935,2965,3259,3314,2646,2315,2327,2584,2705,93,85,90,92,100,84,98,89,102])).
% 117.27/117.31  cnf(3452,plain,
% 117.27/117.31     (P4(a8,a7,a1,a2,a5,a8,a7,a6)),
% 117.27/117.31     inference(scs_inference,[],[2935,2965,3259,3314,2646,2315,2327,2584,2705,2980,93,85,90,92,100,84,98,89,102,97])).
% 117.27/117.31  cnf(3456,plain,
% 117.27/117.31     (P4(a6,a1,a1,a2,a5,a8,a7,a6)),
% 117.27/117.31     inference(scs_inference,[],[2935,2965,3259,3314,2646,2315,2327,2584,2705,2978,2980,93,85,90,92,100,84,98,89,102,97,87,99])).
% 117.27/117.31  cnf(3458,plain,
% 117.27/117.31     (P4(a1,a7,a8,a2,a4,a1,a7,a7)),
% 117.27/117.31     inference(scs_inference,[],[2935,2965,3259,3314,2646,2315,2327,2584,2705,2978,2980,3301,93,85,90,92,100,84,98,89,102,97,87,99,101])).
% 117.27/117.31  cnf(3462,plain,
% 117.27/117.31     (~P4(a7,a8,a2,a7,a1,a7,a6,a7)),
% 117.27/117.31     inference(scs_inference,[],[2935,2965,3259,3314,2646,3448,2315,2327,2584,2705,2978,2980,3301,93,85,90,92,100,84,98,89,102,97,87,99,101,94,91])).
% 117.27/117.31  cnf(3465,plain,
% 117.27/117.31     (~P4(a7,a8,a2,a1,a1,a1,a7,a7)),
% 117.27/117.31     inference(scs_inference,[],[2935,2965,3259,3314,2646,3448,2315,2327,2584,2705,2978,2980,3301,93,85,90,92,100,84,98,89,102,97,87,99,101,94,91,88])).
% 117.27/117.31  cnf(3467,plain,
% 117.27/117.31     (~P4(a7,a7,a2,a7,a1,a8,a6,a2)),
% 117.27/117.31     inference(scs_inference,[],[2935,2965,3259,3314,2646,3448,2691,2315,2327,2584,2705,2978,2980,3301,93,85,90,92,100,84,98,89,102,97,87,99,101,94,91,88,83])).
% 117.27/117.31  cnf(3470,plain,
% 117.27/117.31     (~P4(a7,a7,a2,a8,a1,a2,a7,a1)),
% 117.27/117.31     inference(scs_inference,[],[2935,2965,3259,3314,2646,3448,2691,2315,2327,2584,2705,2978,2980,3301,61,93,85,90,92,100,84,98,89,102,97,87,99,101,94,91,88,83,112])).
% 117.27/117.31  cnf(3472,plain,
% 117.27/117.31     (P4(a6,a7,a1,a8,a1,a8,a2,a7)),
% 117.27/117.31     inference(scs_inference,[],[2935,2965,3259,3314,2646,3448,2691,2315,2327,2584,2705,2978,2980,3301,61,59,93,85,90,92,100,84,98,89,102,97,87,99,101,94,91,88,83,112,107])).
% 117.27/117.31  cnf(3474,plain,
% 117.27/117.31     (~P4(a1,a1,a2,a1,a7,a6,a7,x34741)),
% 117.27/117.31     inference(scs_inference,[],[2935,2965,3259,3314,2646,3448,2691,3396,2315,2327,2584,2705,2978,2980,3301,22,61,59,93,85,90,92,100,84,98,89,102,97,87,99,101,94,91,88,83,112,107,109])).
% 117.27/117.31  cnf(3476,plain,
% 117.27/117.31     (P4(a1,a7,a1,a8,a1,a8,a6,a7)),
% 117.27/117.31     inference(scs_inference,[],[2935,2965,3259,3314,2646,3448,2691,3396,2315,2327,2584,2705,2978,2980,3049,3301,22,61,57,59,93,85,90,92,100,84,98,89,102,97,87,99,101,94,91,88,83,112,107,109,104])).
% 117.27/117.31  cnf(3478,plain,
% 117.27/117.31     (~P4(a7,a1,a2,a1,a2,a3,a7,x34781)),
% 117.27/117.31     inference(scs_inference,[],[2935,2965,3259,3314,2646,3448,2691,3235,3396,2315,2327,2584,2705,2978,2980,3049,3301,22,61,57,59,93,85,90,92,100,84,98,89,102,97,87,99,101,94,91,88,83,112,107,109,104,111])).
% 117.27/117.31  cnf(3480,plain,
% 117.27/117.31     (P4(a6,a1,a1,a8,a8,a1,a2,a7)),
% 117.27/117.31     inference(scs_inference,[],[2935,2965,3259,3314,2646,3448,2691,3235,3396,2315,2327,2584,2705,2978,2980,3007,3049,3301,22,61,57,59,93,85,90,92,100,84,98,89,102,97,87,99,101,94,91,88,83,112,107,109,104,111,108])).
% 117.27/117.31  cnf(3482,plain,
% 117.27/117.31     (P4(a1,a7,a1,a1,a8,a1,a2,a7)),
% 117.27/117.31     inference(scs_inference,[],[2935,2965,3259,3314,2646,3448,2691,3235,3396,2315,2327,2584,2705,2978,2980,3007,3033,3049,3301,22,61,57,59,93,85,90,92,100,84,98,89,102,97,87,99,101,94,91,88,83,112,107,109,104,111,108,103])).
% 117.27/117.31  cnf(3484,plain,
% 117.27/117.31     (~P4(a8,a7,a2,a1,a7,a7,a7,a1)),
% 117.27/117.31     inference(scs_inference,[],[2935,2965,3259,3314,2646,3448,2691,3235,3396,2315,2327,2584,2705,2978,2980,3007,3033,3049,3301,22,61,57,59,93,85,90,92,100,84,98,89,102,97,87,99,101,94,91,88,83,112,107,109,104,111,108,103,392])).
% 117.27/117.31  cnf(3486,plain,
% 117.27/117.31     (~P4(a7,a1,a2,a7,a1,a1,a7,a7)),
% 117.27/117.31     inference(scs_inference,[],[2935,2965,3259,3314,2646,3448,2691,3235,3396,2315,2327,2584,2705,2978,2980,3007,3033,3049,3301,22,61,57,59,93,85,90,92,100,84,98,89,102,97,87,99,101,94,91,88,83,112,107,109,104,111,108,103,392,86])).
% 117.27/117.31  cnf(3492,plain,
% 117.27/117.31     (~P4(a8,a7,a2,a7,a1,a1,a6,a7)),
% 117.27/117.31     inference(scs_inference,[],[3197,93])).
% 117.27/117.31  cnf(3493,plain,
% 117.27/117.31     (~P4(a7,a7,a2,a7,a1,a1,a6,x34931)),
% 117.27/117.31     inference(rename_variables,[],[3197])).
% 117.27/117.31  cnf(3496,plain,
% 117.27/117.31     (~P4(a7,a7,a2,a7,a1,a5,a6,x34961)),
% 117.27/117.31     inference(rename_variables,[],[2782])).
% 117.27/117.31  cnf(3498,plain,
% 117.27/117.31     (~P4(a8,a7,a2,a1,a1,a7,a7,a1)),
% 117.27/117.31     inference(scs_inference,[],[2782,3197,3484,93,85,86])).
% 117.27/117.31  cnf(3504,plain,
% 117.27/117.31     (P4(a8,a8,a7,a2,a2,a1,a6,a7)),
% 117.27/117.31     inference(scs_inference,[],[3299,2782,3197,2337,2707,3484,93,85,86,92,90,100])).
% 117.27/117.31  cnf(3508,plain,
% 117.27/117.31     (P4(a8,a7,a8,a2,a2,a1,a6,a7)),
% 117.27/117.31     inference(scs_inference,[],[3299,2782,3197,2337,2620,2707,3484,93,85,86,92,90,100,84,98])).
% 117.27/117.31  cnf(3511,plain,
% 117.27/117.31     (~P4(a7,a7,a2,a7,a1,a5,a6,x35111)),
% 117.27/117.31     inference(rename_variables,[],[2782])).
% 117.27/117.31  cnf(3513,plain,
% 117.27/117.31     (P4(a8,a8,a8,a2,a4,a8,a6,a7)),
% 117.27/117.31     inference(scs_inference,[],[3425,3299,2782,3496,3197,2337,2620,2707,3484,93,85,86,92,90,100,84,98,89,102])).
% 117.27/117.31  cnf(3515,plain,
% 117.27/117.31     (~P4(a1,a7,a2,a8,a1,a6,a7,a1)),
% 117.27/117.31     inference(scs_inference,[],[3425,3299,2782,3496,3197,3221,2337,2620,2707,3484,93,85,86,92,90,100,84,98,89,102,87])).
% 117.27/117.31  cnf(3520,plain,
% 117.27/117.31     (P4(a8,a1,a1,a1,a1,a3,a7,a6)),
% 117.27/117.31     inference(scs_inference,[],[3425,3299,2782,3496,3197,3221,2337,2620,2707,3043,3060,3484,93,85,86,92,90,100,84,98,89,102,87,97,99])).
% 117.27/117.31  cnf(3524,plain,
% 117.27/117.31     (P4(a1,a7,a1,a8,a1,a8,a6,a6)),
% 117.27/117.31     inference(scs_inference,[],[3425,3299,2782,3496,3197,3221,2337,2620,2707,3043,3060,3411,3484,93,85,86,92,90,100,84,98,89,102,87,97,99,94,101])).
% 117.27/117.31  cnf(3526,plain,
% 117.27/117.31     (~P4(a7,a7,a2,a1,a5,a8,a7,a7)),
% 117.27/117.31     inference(scs_inference,[],[3425,3299,2782,3496,3197,3221,2337,2413,2620,2707,3043,3060,3411,3484,93,85,86,92,90,100,84,98,89,102,87,97,99,94,101,88])).
% 117.27/117.31  cnf(3528,plain,
% 117.27/117.31     (~P4(a7,a8,a2,a7,a1,a1,a6,a7)),
% 117.27/117.31     inference(scs_inference,[],[3425,3299,2782,3496,3197,3493,3221,2337,2413,2620,2707,3043,3060,3411,3484,93,85,86,92,90,100,84,98,89,102,87,97,99,94,101,88,91])).
% 117.27/117.31  cnf(3534,plain,
% 117.27/117.31     (P4(a7,a8,a8,a2,a1,a2,a6,a7)),
% 117.27/117.31     inference(scs_inference,[],[3425,3427,3299,2782,3496,3511,3197,3493,3221,2337,2413,2620,2707,3043,3060,3411,3484,71,93,85,86,92,90,100,84,98,89,102,87,97,99,94,101,88,91,83,112])).
% 117.27/117.31  cnf(3536,plain,
% 117.27/117.31     (P4(a7,a8,a8,a2,a1,a5,a7,a7)),
% 117.27/117.31     inference(scs_inference,[],[3425,3427,3299,2782,3496,3511,3197,3493,3221,2337,2413,2620,2707,3043,3060,3411,3484,71,58,93,85,86,92,90,100,84,98,89,102,87,97,99,94,101,88,91,83,112,107])).
% 117.27/117.31  cnf(3540,plain,
% 117.27/117.31     (P4(a7,a8,a8,a2,a6,a8,a6,a7)),
% 117.27/117.31     inference(scs_inference,[],[3425,3427,3299,2782,3496,3511,3197,3493,3221,2337,2413,2620,2707,3043,3060,3411,3484,69,71,58,60,93,85,86,92,90,100,84,98,89,102,87,97,99,94,101,88,91,83,112,107,104,111])).
% 117.27/117.31  cnf(3542,plain,
% 117.27/117.31     (P4(a1,a1,a7,a1,a8,a1,a7,a6)),
% 117.27/117.31     inference(scs_inference,[],[3425,3427,3299,2782,3496,3511,3197,3493,3221,2337,2413,2620,2707,3043,3060,3411,3484,69,71,58,60,93,85,86,92,90,100,84,98,89,102,87,97,99,94,101,88,91,83,112,107,104,111,108])).
% 117.27/117.31  cnf(3544,plain,
% 117.27/117.31     (P4(a8,a8,a8,a2,a5,a1,a7,a7)),
% 117.27/117.31     inference(scs_inference,[],[3425,3041,3427,3299,2782,3496,3511,3197,3493,3221,2337,2413,2620,2707,3043,3060,3411,3484,69,71,58,60,93,85,86,92,90,100,84,98,89,102,87,97,99,94,101,88,91,83,112,107,104,111,108,103])).
% 117.27/117.31  cnf(3551,plain,
% 117.27/117.31     (~P4(a8,a8,a2,a7,a1,a5,a6,a7)),
% 117.27/117.31     inference(scs_inference,[],[2385,93])).
% 117.27/117.31  cnf(3553,plain,
% 117.27/117.31     (~P4(a7,a1,a2,a1,a8,a6,a7,a2)),
% 117.27/117.31     inference(scs_inference,[],[2385,3312,93,85])).
% 117.27/117.31  cnf(3554,plain,
% 117.27/117.31     (~P4(a7,a1,a2,a1,a2,a6,a7,x35541)),
% 117.27/117.31     inference(rename_variables,[],[3312])).
% 117.27/117.31  cnf(3562,plain,
% 117.27/117.31     (P4(a7,a8,a8,a2,a5,a3,a6,a7)),
% 117.27/117.31     inference(scs_inference,[],[2385,3285,3312,2442,2628,2847,93,85,90,92,84,100])).
% 117.27/117.31  cnf(3564,plain,
% 117.27/117.31     (P4(a6,a7,a8,a8,a1,a8,a2,a7)),
% 117.27/117.31     inference(scs_inference,[],[2385,3285,3312,2442,2628,2847,2999,93,85,90,92,84,100,98])).
% 117.27/117.31  cnf(3566,plain,
% 117.27/117.31     (~P4(a7,a7,a8,a1,a1,a1,a7,a2)),
% 117.27/117.31     inference(scs_inference,[],[2385,3285,3312,2442,2628,2847,2999,93,85,90,92,84,100,98,89])).
% 117.27/117.31  cnf(3569,plain,
% 117.27/117.31     (P4(a8,a1,a1,a2,a5,a8,a7,a6)),
% 117.27/117.31     inference(scs_inference,[],[2385,3456,3285,3312,2442,2628,2847,2999,93,85,90,92,84,100,98,89,102])).
% 117.27/117.31  cnf(3573,plain,
% 117.27/117.31     (~P4(a7,a1,a2,a8,a1,a7,a7,a1)),
% 117.27/117.31     inference(scs_inference,[],[3439,2385,3456,3285,3312,2442,2628,2847,2999,3066,93,85,90,92,84,100,98,89,102,97,87])).
% 117.27/117.31  cnf(3575,plain,
% 117.27/117.31     (P4(a1,a1,a7,a1,a8,a1,a7,a2)),
% 117.27/117.31     inference(scs_inference,[],[3439,2385,3456,3285,3312,2442,2628,2847,2999,3066,93,85,90,92,84,100,98,89,102,97,87,99])).
% 117.27/117.31  cnf(3582,plain,
% 117.27/117.31     (~P4(a7,a1,a2,a1,a2,a6,a7,x35821)),
% 117.27/117.31     inference(rename_variables,[],[3312])).
% 117.27/117.31  cnf(3586,plain,
% 117.27/117.31     (~P4(a7,a8,a2,a1,a1,a7,a7,a1)),
% 117.27/117.31     inference(scs_inference,[],[3439,2385,3456,3285,3312,3554,2442,2628,2847,2999,3066,3421,3433,93,85,90,92,84,100,98,89,102,97,87,99,94,101,83,88,91])).
% 117.27/117.31  cnf(3588,plain,
% 117.27/117.31     (~P4(a1,a7,a2,a1,a2,a3,a7,x35881)),
% 117.27/117.31     inference(scs_inference,[],[3439,2385,3456,3285,3312,3554,3338,2442,2628,2847,2999,3066,3421,3433,68,93,85,90,92,84,100,98,89,102,97,87,99,94,101,83,88,91,112])).
% 117.27/117.31  cnf(3590,plain,
% 117.27/117.31     (P4(a6,a1,a1,a8,a1,a8,a2,a7)),
% 117.27/117.31     inference(scs_inference,[],[3439,2385,3062,3456,3285,3312,3554,3338,2442,2628,2847,2999,3066,3421,3433,68,59,93,85,90,92,84,100,98,89,102,97,87,99,94,101,83,88,91,112,107])).
% 117.27/117.31  cnf(3592,plain,
% 117.27/117.31     (~P4(a7,a7,a1,a7,a2,a2,a2,a1)),
% 117.27/117.31     inference(scs_inference,[],[15,2952,3439,2385,3062,3456,3285,3312,3554,3338,2442,2628,2847,2999,3066,3421,3433,68,59,93,85,90,92,84,100,98,89,102,97,87,99,94,101,83,88,91,112,107,109])).
% 117.27/117.31  cnf(3594,plain,
% 117.27/117.31     (P4(a6,a1,a1,a2,a5,a8,a7,a7)),
% 117.27/117.31     inference(scs_inference,[],[15,2952,3439,2385,3062,3456,3285,3312,3554,3338,2442,2628,2847,2999,3066,3421,3433,68,59,58,93,85,90,92,84,100,98,89,102,97,87,99,94,101,83,88,91,112,107,109,104])).
% 117.27/117.31  cnf(3596,plain,
% 117.27/117.31     (~P4(a7,a1,a2,a1,a5,a6,a7,x35961)),
% 117.27/117.31     inference(scs_inference,[],[15,2952,3439,2385,3062,3456,3285,3312,3554,3582,3338,2442,2628,2847,2999,3066,3421,3433,68,71,59,58,93,85,90,92,84,100,98,89,102,97,87,99,94,101,83,88,91,112,107,109,104,111])).
% 117.27/117.31  cnf(3600,plain,
% 117.27/117.31     (P4(a6,a1,a1,a1,a8,a1,a7,a7)),
% 117.27/117.31     inference(scs_inference,[],[15,2952,3439,2385,3062,3456,3285,3312,3554,3582,3338,2442,2628,2847,2999,3066,3104,3357,3421,3433,68,57,71,59,58,93,85,90,92,84,100,98,89,102,97,87,99,94,101,83,88,91,112,107,109,104,111,108,103])).
% 117.27/117.31  cnf(3602,plain,
% 117.27/117.31     (~P4(a8,a1,a2,a1,a7,a7,a7,a1)),
% 117.27/117.31     inference(scs_inference,[],[15,2952,3439,2385,3062,3456,3285,3312,3554,3582,3338,2442,2628,2847,2999,3066,3104,3357,3421,3433,68,57,71,59,58,93,85,90,92,84,100,98,89,102,97,87,99,94,101,83,88,91,112,107,109,104,111,108,103,392])).
% 117.27/117.31  cnf(3604,plain,
% 117.27/117.31     (~P4(a8,a1,a2,a1,a1,a7,a7,a1)),
% 117.27/117.31     inference(scs_inference,[],[15,2952,3439,2385,3062,3456,3285,3312,3554,3582,3338,2442,2628,2847,2999,3066,3104,3357,3421,3433,68,57,71,59,58,93,85,90,92,84,100,98,89,102,97,87,99,94,101,83,88,91,112,107,109,104,111,108,103,392,86])).
% 117.27/117.31  cnf(3610,plain,
% 117.27/117.31     (~P4(a8,a1,a2,a7,a1,a1,a7,a7)),
% 117.27/117.31     inference(scs_inference,[],[3486,93])).
% 117.27/117.31  cnf(3612,plain,
% 117.27/117.31     (~P4(a8,a7,a1,a8,a1,a3,a2,a7)),
% 117.27/117.31     inference(scs_inference,[],[3486,2450,93,90])).
% 117.27/117.31  cnf(3616,plain,
% 117.27/117.31     (~P4(a7,a1,a2,a1,a1,a8,a7,a1)),
% 117.27/117.31     inference(scs_inference,[],[3486,3498,3227,2450,93,90,85,92])).
% 117.27/117.31  cnf(3618,plain,
% 117.27/117.31     (~P4(a8,a7,a2,a1,a1,a1,a7,a1)),
% 117.27/117.31     inference(scs_inference,[],[3486,3498,3227,2450,93,90,85,92,84])).
% 117.27/117.31  cnf(3620,plain,
% 117.27/117.31     (P4(a8,a8,a8,a2,a5,a8,a6,a7)),
% 117.27/117.31     inference(scs_inference,[],[3486,3498,3227,2450,2973,93,90,85,92,84,100])).
% 117.27/117.31  cnf(3622,plain,
% 117.27/117.31     (P4(a7,a8,a8,a2,a4,a3,a6,a7)),
% 117.27/117.31     inference(scs_inference,[],[3486,3498,3227,2450,2973,3085,93,90,85,92,84,100,98])).
% 117.27/117.31  cnf(3625,plain,
% 117.27/117.31     (~P4(a1,a7,a2,a1,a7,a6,a7,x36251)),
% 117.27/117.31     inference(rename_variables,[],[3340])).
% 117.27/117.31  cnf(3627,plain,
% 117.27/117.31     (P4(a8,a8,a8,a2,a5,a3,a6,a7)),
% 117.27/117.31     inference(scs_inference,[],[3486,3498,3227,3562,3340,2450,2973,3085,93,90,85,92,84,100,98,89,102])).
% 117.27/117.31  cnf(3629,plain,
% 117.27/117.31     (P4(a8,a1,a1,a2,a5,a1,a7,a7)),
% 117.27/117.31     inference(scs_inference,[],[3486,3498,3227,3562,3340,2450,2973,3085,3100,93,90,85,92,84,100,98,89,102,97])).
% 117.27/117.31  cnf(3633,plain,
% 117.27/117.31     (P4(a1,a1,a7,a8,a8,a1,a7,a7)),
% 117.27/117.31     inference(scs_inference,[],[3486,3498,3227,3562,3340,2450,2973,3085,3100,3121,93,90,85,92,84,100,98,89,102,97,87,99])).
% 117.27/117.31  cnf(3635,plain,
% 117.27/117.31     (~P4(a1,a1,a2,a7,a1,a1,a7,a7)),
% 117.27/117.31     inference(scs_inference,[],[3486,3498,3227,3562,3340,2450,2973,3085,3100,3121,93,90,85,92,84,100,98,89,102,97,87,99,94])).
% 117.27/117.31  cnf(3637,plain,
% 117.27/117.31     (P4(a1,a8,a8,a2,a1,a5,a7,a7)),
% 117.27/117.31     inference(scs_inference,[],[3486,3498,3227,3562,3340,2450,2973,3085,3100,3121,3536,93,90,85,92,84,100,98,89,102,97,87,99,94,101])).
% 117.27/117.31  cnf(3641,plain,
% 117.27/117.31     (~P4(a1,a7,a2,a1,a7,a8,a7,a6)),
% 117.27/117.31     inference(scs_inference,[],[3486,3498,3227,3562,3340,3625,2450,2973,3085,3100,3121,3536,2902,93,90,85,92,84,100,98,89,102,97,87,99,94,101,88,83])).
% 117.27/117.31  cnf(3644,plain,
% 117.27/117.31     (~P4(a8,a8,a2,a7,a1,a2,a6,a7)),
% 117.27/117.31     inference(scs_inference,[],[3486,3498,2567,3227,3562,3340,3625,2450,2973,3085,3100,3121,3536,2902,93,90,85,92,84,100,98,89,102,97,87,99,94,101,88,83,91])).
% 117.27/117.31  cnf(3648,plain,
% 117.27/117.31     (P4(a1,a7,a1,a2,a1,a4,a6,a7)),
% 117.27/117.31     inference(scs_inference,[],[3486,3498,2567,2919,3227,3562,3340,3625,2450,2973,3085,3100,3121,3149,3536,2902,70,60,93,90,85,92,84,100,98,89,102,97,87,99,94,101,88,83,91,112,107])).
% 117.27/117.31  cnf(3650,plain,
% 117.27/117.31     (P4(a7,a8,a8,a2,a1,a8,a6,a7)),
% 117.27/117.31     inference(scs_inference,[],[3486,3498,2567,2919,3227,3562,3340,3625,2450,2973,3085,3100,3121,3149,3536,3540,2902,8,70,60,93,90,85,92,84,100,98,89,102,97,87,99,94,101,88,83,91,112,107,109])).
% 117.27/117.31  cnf(3656,plain,
% 117.27/117.31     (P4(a1,a7,a7,a8,a8,a1,a7,a6)),
% 117.27/117.31     inference(scs_inference,[],[3486,3498,2567,2919,3227,3562,3340,3625,2450,2973,3085,3100,3121,3149,3536,3540,2902,8,70,72,60,93,90,85,92,84,100,98,89,102,97,87,99,94,101,88,83,91,112,107,109,104,111,108])).
% 117.27/117.31  cnf(3658,plain,
% 117.27/117.31     (P4(a7,a8,a7,a2,a5,a1,a7,a7)),
% 117.27/117.31     inference(scs_inference,[],[3486,3498,2567,2919,3227,3562,3340,3625,2450,2595,2973,3085,3100,3121,3149,3536,3540,2902,8,70,72,60,58,93,90,85,92,84,100,98,89,102,97,87,99,94,101,88,83,91,112,107,109,104,111,108,103])).
% 117.27/117.31  cnf(3660,plain,
% 117.27/117.31     (P4(a8,a8,a8,a2,a8,a4,a6,a7)),
% 117.27/117.31     inference(scs_inference,[],[3486,3498,2567,2919,3227,3562,3340,3625,2450,2595,2973,3085,3100,3121,3149,3536,3540,2902,8,70,72,60,58,93,90,85,92,84,100,98,89,102,97,87,99,94,101,88,83,91,112,107,109,104,111,108,103,532])).
% 117.27/117.31  cnf(3662,plain,
% 117.27/117.31     (~P4(a1,a7,a8,a1,a1,a6,a7,a2)),
% 117.27/117.31     inference(scs_inference,[],[3486,3498,2567,2919,3227,3562,3340,3625,2450,2595,2973,3085,3100,3121,3149,3536,3540,2902,8,70,72,60,58,93,90,85,92,84,100,98,89,102,97,87,99,94,101,88,83,91,112,107,109,104,111,108,103,532,86])).
% 117.27/117.31  cnf(3668,plain,
% 117.27/117.31     (~P4(a8,a7,a2,a1,a3,a3,a7,a1)),
% 117.27/117.31     inference(scs_inference,[],[3355,93])).
% 117.27/117.31  cnf(3669,plain,
% 117.27/117.31     (~P4(a1,a7,a2,a1,a3,a3,a7,x36691)),
% 117.27/117.31     inference(rename_variables,[],[3355])).
% 117.27/117.31  cnf(3675,plain,
% 117.27/117.31     (~P4(a7,a8,a1,a7,a1,a3,a2,a7)),
% 117.27/117.31     inference(scs_inference,[],[3604,3355,2502,3641,93,86,85,90])).
% 117.27/117.31  cnf(3677,plain,
% 117.27/117.31     (~P4(a1,a1,a2,a1,a3,a3,a7,x36771)),
% 117.27/117.31     inference(scs_inference,[],[3604,3355,3669,2502,3641,93,86,85,90,92])).
% 117.27/117.31  cnf(3679,plain,
% 117.27/117.31     (~P4(a8,a1,a2,a1,a7,a1,a7,a1)),
% 117.27/117.31     inference(scs_inference,[],[3602,3604,3355,3669,2502,3641,93,86,85,90,92,84])).
% 117.27/117.31  cnf(3681,plain,
% 117.27/117.31     (P4(a7,a8,a8,a2,a2,a5,a6,a7)),
% 117.27/117.31     inference(scs_inference,[],[3602,3604,3355,3669,2502,3144,3641,93,86,85,90,92,84,100])).
% 117.27/117.31  cnf(3683,plain,
% 117.27/117.31     (P4(a7,a8,a8,a8,a2,a8,a6,a7)),
% 117.27/117.31     inference(scs_inference,[],[3602,3604,3355,3669,2502,3117,3144,3641,93,86,85,90,92,84,100,98])).
% 117.27/117.31  cnf(3686,plain,
% 117.27/117.31     (~P4(a1,a7,a2,a1,a3,a3,a7,x36861)),
% 117.27/117.31     inference(rename_variables,[],[3355])).
% 117.27/117.31  cnf(3690,plain,
% 117.27/117.31     (~P4(a8,a1,a2,a8,a7,a7,a7,a1)),
% 117.27/117.31     inference(scs_inference,[],[3602,3604,3355,3669,2418,2502,3117,3144,3641,93,86,85,90,92,84,100,98,89,102,87])).
% 117.27/117.31  cnf(3692,plain,
% 117.27/117.31     (P4(a1,a1,a1,a2,a1,a4,a7,a7)),
% 117.27/117.31     inference(scs_inference,[],[3602,3604,3355,3669,2418,2502,3117,3144,3156,3641,93,86,85,90,92,84,100,98,89,102,87,97])).
% 117.27/117.31  cnf(3696,plain,
% 117.27/117.31     (~P4(a1,a1,a2,a1,a7,a4,a7,x36961)),
% 117.27/117.31     inference(scs_inference,[],[3602,3604,3355,3669,3372,2418,2502,3117,3144,3156,3210,3641,93,86,85,90,92,84,100,98,89,102,87,97,99,94])).
% 117.27/117.31  cnf(3698,plain,
% 117.27/117.31     (P4(a1,a8,a7,a2,a5,a1,a7,a7)),
% 117.27/117.31     inference(scs_inference,[],[3602,3604,3355,3669,3372,2418,2502,3117,3144,3156,3210,3641,3658,93,86,85,90,92,84,100,98,89,102,87,97,99,94,101])).
% 117.27/117.31  cnf(3700,plain,
% 117.27/117.31     (~P4(a1,a7,a2,a1,a3,a8,a7,a3)),
% 117.27/117.31     inference(scs_inference,[],[3602,3604,3355,3669,3686,3372,2418,2502,3117,3144,3156,3210,3641,3658,93,86,85,90,92,84,100,98,89,102,87,97,99,94,101,83])).
% 117.27/117.31  cnf(3705,plain,
% 117.27/117.31     (~P4(a8,a8,a2,a1,a7,a7,a7,a1)),
% 117.27/117.31     inference(scs_inference,[],[3602,3604,3355,3669,3686,3372,2418,2502,3117,3144,3156,3210,3610,3641,3658,93,86,85,90,92,84,100,98,89,102,87,97,99,94,101,83,88,91])).
% 117.27/117.31  cnf(3707,plain,
% 117.27/117.31     (~P4(a8,a1,a2,a1,a7,a4,a7,a1)),
% 117.27/117.32     inference(scs_inference,[],[3602,3604,3355,3669,3686,3372,2418,2502,3117,3144,3156,3210,3610,3641,3658,70,93,86,85,90,92,84,100,98,89,102,87,97,99,94,101,83,88,91,112])).
% 117.27/117.32  cnf(3715,plain,
% 117.27/117.32     (~P4(a8,a1,a2,a1,a4,a7,a7,a1)),
% 117.27/117.32     inference(scs_inference,[],[3365,3602,3604,3355,3669,3686,3372,2418,2502,2553,3117,3144,3156,3210,3610,3641,3658,50,70,58,60,93,86,85,90,92,84,100,98,89,102,87,97,99,94,101,83,88,91,112,107,109,104,111])).
% 117.27/117.32  cnf(3717,plain,
% 117.27/117.32     (P4(a8,a1,a1,a2,a8,a4,a7,a7)),
% 117.27/117.32     inference(scs_inference,[],[3365,3602,3604,3355,3669,3686,3372,2418,2502,2553,3117,3144,3156,3210,3212,3610,3641,3658,50,70,58,60,93,86,85,90,92,84,100,98,89,102,87,97,99,94,101,83,88,91,112,107,109,104,111,108])).
% 117.27/117.32  cnf(3727,plain,
% 117.27/117.32     (~P4(a8,a1,a2,a1,a1,a4,a7,a7)),
% 117.27/117.32     inference(scs_inference,[],[3376,93])).
% 117.27/117.32  cnf(3728,plain,
% 117.27/117.32     (~P4(a7,a1,a2,a1,a1,a4,a7,x37281)),
% 117.27/117.32     inference(rename_variables,[],[3376])).
% 117.27/117.32  cnf(3730,plain,
% 117.27/117.32     (~P4(a1,a1,a2,a1,a1,a4,a7,x37301)),
% 117.27/117.32     inference(scs_inference,[],[3376,3696,93,86])).
% 117.27/117.32  cnf(3736,plain,
% 117.27/117.32     (~P4(a1,a1,a8,a1,a1,a6,a7,a2)),
% 117.27/117.32     inference(scs_inference,[],[3361,3662,3376,3696,2510,93,86,85,90,92])).
% 117.27/117.32  cnf(3740,plain,
% 117.27/117.32     (P4(a8,a8,a8,a2,a1,a4,a6,a7)),
% 117.27/117.32     inference(scs_inference,[],[3361,3662,3376,3696,2510,2678,3265,93,86,85,90,92,84,100])).
% 117.27/117.32  cnf(3742,plain,
% 117.27/117.32     (P4(a1,a8,a8,a2,a1,a4,a7,a7)),
% 117.27/117.32     inference(scs_inference,[],[3361,3662,3376,3696,2510,2678,3219,3265,93,86,85,90,92,84,100,98])).
% 117.27/117.32  cnf(3745,plain,
% 117.27/117.32     (~P4(a7,a1,a2,a1,a1,a4,a7,x37451)),
% 117.27/117.32     inference(rename_variables,[],[3376])).
% 117.27/117.32  cnf(3747,plain,
% 117.27/117.32     (P4(a8,a8,a8,a2,a4,a3,a6,a7)),
% 117.27/117.32     inference(scs_inference,[],[3361,3622,3662,3376,3728,3696,2510,2678,3219,3265,93,86,85,90,92,84,100,98,89,102])).
% 117.27/117.32  cnf(3751,plain,
% 117.27/117.32     (P4(a6,a8,a1,a8,a1,a8,a7,a6)),
% 117.27/117.32     inference(scs_inference,[],[3361,2393,3622,3662,3376,3728,3696,2510,2678,3175,3219,3265,93,86,85,90,92,84,100,98,89,102,87,97])).
% 117.27/117.32  cnf(3753,plain,
% 117.27/117.32     (P4(a6,a1,a8,a8,a1,a8,a7,a2)),
% 117.27/117.32     inference(scs_inference,[],[3361,2393,3622,3662,3376,3728,3696,2510,2678,3175,3219,3233,3265,93,86,85,90,92,84,100,98,89,102,87,97,99])).
% 117.27/117.32  cnf(3755,plain,
% 117.27/117.32     (P4(a1,a7,a7,a2,a8,a1,a7,a7)),
% 117.27/117.32     inference(scs_inference,[],[3361,2393,3622,3662,3376,3728,3696,2510,2678,3175,3219,3233,3265,2228,93,86,85,90,92,84,100,98,89,102,87,97,99,101])).
% 117.27/117.32  cnf(3757,plain,
% 117.27/117.32     (~P4(a1,a1,a2,a1,a2,a3,a7,x37571)),
% 117.27/117.32     inference(scs_inference,[],[3361,2393,3622,3662,3376,3728,3478,3696,2510,2678,3175,3219,3233,3265,2228,93,86,85,90,92,84,100,98,89,102,87,97,99,101,94])).
% 117.27/117.32  cnf(3762,plain,
% 117.27/117.32     (~P4(a7,a1,a2,a1,a1,a4,a7,x37621)),
% 117.27/117.32     inference(rename_variables,[],[3376])).
% 117.27/117.32  cnf(3764,plain,
% 117.27/117.32     (~P4(a7,a8,a2,a1,a1,a4,a7,a1)),
% 117.27/117.32     inference(scs_inference,[],[3361,2393,3622,3662,3376,3728,3745,3762,3478,3696,2510,2678,3175,3219,3233,3265,3635,2228,93,86,85,90,92,84,100,98,89,102,87,97,99,101,94,88,83,91])).
% 117.27/117.32  cnf(3769,plain,
% 117.27/117.32     (P4(a6,a8,a7,a8,a1,a8,a2,a6)),
% 117.27/117.32     inference(scs_inference,[],[3361,3660,2393,3622,3662,3376,3728,3745,3762,3478,3696,2510,2678,3175,3219,3233,3265,3635,2228,69,59,93,86,85,90,92,84,100,98,89,102,87,97,99,101,94,88,83,91,112,107])).
% 117.27/117.32  cnf(3775,plain,
% 117.27/117.32     (P4(a8,a8,a8,a2,a8,a4,a6,a2)),
% 117.27/117.32     inference(scs_inference,[],[3361,3660,3095,3620,2393,3622,3662,3376,3728,3745,3762,3478,3696,2510,2678,3175,3219,3233,3265,3635,2228,69,72,59,93,86,85,90,92,84,100,98,89,102,87,97,99,101,94,88,83,91,112,107,104,111,108])).
% 117.27/117.32  cnf(3779,plain,
% 117.27/117.32     (P4(a7,a7,a8,a2,a5,a1,a7,a7)),
% 117.27/117.32     inference(scs_inference,[],[3361,3660,3095,3620,2393,3622,3662,3376,3728,3745,3762,3478,3696,2510,2602,2678,3175,3219,3233,3265,3635,2228,8,69,72,59,58,93,86,85,90,92,84,100,98,89,102,87,97,99,101,94,88,83,91,112,107,104,111,108,105,103])).
% 117.27/117.32  cnf(3781,plain,
% 117.27/117.32     (P4(a8,a8,a8,a2,a8,a5,a6,a7)),
% 117.27/117.32     inference(scs_inference,[],[3361,3660,3095,3620,2393,3622,3662,3376,3728,3745,3762,3478,3696,2510,2602,2678,3175,3219,3233,3265,3635,2228,8,69,72,59,58,93,86,85,90,92,84,100,98,89,102,87,97,99,101,94,88,83,91,112,107,104,111,108,105,103,314])).
% 117.27/117.32  cnf(3783,plain,
% 117.27/117.32     (P4(a8,a8,a8,a8,a5,a8,a6,a2)),
% 117.27/117.32     inference(scs_inference,[],[3361,3660,3095,3620,2393,3622,3662,3376,3728,3745,3762,3478,3696,2510,2602,2678,3175,3219,3233,3265,3635,2228,8,69,72,59,58,93,86,85,90,92,84,100,98,89,102,87,97,99,101,94,88,83,91,112,107,104,111,108,105,103,314,96])).
% 117.27/117.32  cnf(3789,plain,
% 117.27/117.32     (~P4(a8,a1,a2,a1,a7,a6,a7,a1)),
% 117.27/117.32     inference(scs_inference,[],[3474,93])).
% 117.27/117.32  cnf(3790,plain,
% 117.27/117.32     (~P4(a1,a1,a2,a1,a7,a6,a7,x37901)),
% 117.27/117.32     inference(rename_variables,[],[3474])).
% 117.27/117.32  cnf(3792,plain,
% 117.27/117.32     (~P4(a8,a1,a2,a1,a1,a1,a7,a1)),
% 117.27/117.32     inference(scs_inference,[],[3474,3679,93,86])).
% 117.27/117.32  cnf(3795,plain,
% 117.27/117.32     (~P4(a1,a1,a2,a1,a7,a6,a7,x37951)),
% 117.27/117.32     inference(rename_variables,[],[3474])).
% 117.27/117.32  cnf(3797,plain,
% 117.27/117.32     (~P4(a7,a7,a1,a8,a1,a1,a2,a7)),
% 117.27/117.32     inference(scs_inference,[],[3474,3790,3679,2397,93,86,85,90])).
% 117.27/117.32  cnf(3799,plain,
% 117.27/117.32     (~P4(a1,a1,a2,a8,a1,a6,a7,a7)),
% 117.27/117.32     inference(scs_inference,[],[3474,3790,2329,3679,2397,93,86,85,90,92])).
% 117.27/117.32  cnf(3803,plain,
% 117.27/117.32     (P4(a8,a8,a7,a2,a1,a4,a7,a7)),
% 117.27/117.32     inference(scs_inference,[],[3474,3790,2329,2686,3291,3679,2397,93,86,85,90,92,84,100])).
% 117.27/117.32  cnf(3807,plain,
% 117.27/117.32     (P4(a8,a8,a8,a8,a8,a4,a6,a2)),
% 117.27/117.32     inference(scs_inference,[],[3474,3790,2329,2686,3291,3679,3775,2397,93,86,85,90,92,84,100,98,96])).
% 117.27/117.32  cnf(3809,plain,
% 117.27/117.32     (~P4(a1,a1,a8,a1,a7,a6,a7,a2)),
% 117.27/117.32     inference(scs_inference,[],[3474,3790,3795,2329,2686,3291,3679,3775,2397,93,86,85,90,92,84,100,98,96,89])).
% 117.27/117.32  cnf(3810,plain,
% 117.27/117.32     (~P4(a1,a1,a2,a1,a7,a6,a7,x38101)),
% 117.27/117.32     inference(rename_variables,[],[3474])).
% 117.27/117.32  cnf(3816,plain,
% 117.27/117.32     (P4(a1,a8,a1,a1,a8,a1,a7,a6)),
% 117.27/117.32     inference(scs_inference,[],[3551,3650,3474,3790,3795,2329,2686,3179,3291,3679,3775,2397,93,86,85,90,92,84,100,98,96,89,102,87,97])).
% 117.27/117.32  cnf(3818,plain,
% 117.27/117.32     (P4(a8,a1,a7,a2,a1,a4,a7,a7)),
% 117.27/117.32     inference(scs_inference,[],[3551,3650,3474,3790,3795,2329,2686,3179,3291,3679,3775,2397,93,86,85,90,92,84,100,98,96,89,102,87,97,99])).
% 117.27/117.32  cnf(3820,plain,
% 117.27/117.32     (~P4(a1,a1,a2,a1,a5,a6,a7,x38201)),
% 117.27/117.32     inference(scs_inference,[],[3551,3650,3474,3790,3795,3596,2329,2686,3179,3291,3679,3775,2397,93,86,85,90,92,84,100,98,96,89,102,87,97,99,94])).
% 117.27/117.32  cnf(3822,plain,
% 117.27/117.32     (~P4(a1,a1,a2,a1,a7,a8,a7,a6)),
% 117.27/117.32     inference(scs_inference,[],[3551,3650,3474,3790,3795,3810,3596,2329,2686,3179,3291,3679,3775,2397,93,86,85,90,92,84,100,98,96,89,102,87,97,99,94,83])).
% 117.27/117.32  cnf(3823,plain,
% 117.27/117.32     (~P4(a1,a1,a2,a1,a7,a6,a7,x38231)),
% 117.27/117.32     inference(rename_variables,[],[3474])).
% 117.27/117.32  cnf(3827,plain,
% 117.27/117.32     (P4(a1,a7,a8,a2,a5,a1,a7,a7)),
% 117.27/117.32     inference(scs_inference,[],[3551,3650,3474,3790,3795,3810,3596,2329,2686,3179,3291,3679,3775,3779,2626,2397,93,86,85,90,92,84,100,98,96,89,102,87,97,99,94,83,88,101])).
% 117.27/117.32  cnf(3829,plain,
% 117.27/117.32     (~P4(a1,a8,a2,a1,a7,a6,a7,a1)),
% 117.27/117.32     inference(scs_inference,[],[3551,3650,3474,3790,3795,3810,3823,3596,2329,2686,3179,3291,3679,3775,3779,2626,2397,93,86,85,90,92,84,100,98,96,89,102,87,97,99,94,83,88,101,91])).
% 117.27/117.32  cnf(3830,plain,
% 117.27/117.32     (~P4(a1,a1,a2,a1,a7,a6,a7,x38301)),
% 117.27/117.32     inference(rename_variables,[],[3474])).
% 117.27/117.32  cnf(3832,plain,
% 117.27/117.32     (~P4(a1,a1,a2,a1,a7,a3,a7,x38321)),
% 117.27/117.32     inference(scs_inference,[],[3551,3650,3474,3790,3795,3810,3823,3830,3596,2329,2686,3179,3291,3679,3775,3779,2626,2397,68,93,86,85,90,92,84,100,98,96,89,102,87,97,99,94,83,88,101,91,112])).
% 117.27/117.32  cnf(3834,plain,
% 117.27/117.32     (P4(a7,a8,a8,a2,a1,a8,a7,a7)),
% 117.27/117.32     inference(scs_inference,[],[3551,3650,3474,3790,3795,3810,3823,3830,3596,2329,2686,3179,3291,3679,3775,3779,2626,2397,68,58,93,86,85,90,92,84,100,98,96,89,102,87,97,99,94,83,88,101,91,112,107])).
% 117.27/117.32  cnf(3838,plain,
% 117.27/117.32     (P4(a6,a1,a8,a8,a1,a8,a7,a7)),
% 117.27/117.32     inference(scs_inference,[],[3551,3650,3474,3790,3795,3810,3823,3830,3596,2329,2686,3179,3291,3679,3753,3775,3779,2626,2397,50,68,57,58,93,86,85,90,92,84,100,98,96,89,102,87,97,99,94,83,88,101,91,112,107,109,104])).
% 117.27/117.32  cnf(3840,plain,
% 117.27/117.32     (~P4(a1,a1,a2,a1,a4,a6,a7,x38401)),
% 117.27/117.32     inference(scs_inference,[],[3551,3650,3474,3790,3795,3810,3823,3830,3596,2329,2686,3179,3291,3679,3753,3775,3779,2626,2397,50,68,57,70,58,93,86,85,90,92,84,100,98,96,89,102,87,97,99,94,83,88,101,91,112,107,109,104,111])).
% 117.27/117.32  cnf(3850,plain,
% 117.27/117.32     (~P4(a8,a7,a2,a1,a2,a3,a7,a1)),
% 117.27/117.32     inference(scs_inference,[],[3588,93])).
% 117.27/117.32  cnf(3851,plain,
% 117.27/117.32     (~P4(a1,a7,a2,a1,a2,a3,a7,x38511)),
% 117.27/117.32     inference(rename_variables,[],[3588])).
% 117.27/117.32  cnf(3853,plain,
% 117.27/117.32     (~P4(a1,a1,a2,a1,a1,a3,a7,x38531)),
% 117.27/117.32     inference(scs_inference,[],[3588,3832,93,86])).
% 117.27/117.32  cnf(3858,plain,
% 117.27/117.32     (~P4(a1,a7,a2,a1,a2,a3,a7,x38581)),
% 117.27/117.32     inference(rename_variables,[],[3588])).
% 117.27/117.32  cnf(3860,plain,
% 117.27/117.32     (~P4(a1,a1,a2,a8,a1,a3,a7,a7)),
% 117.27/117.32     inference(scs_inference,[],[3588,3851,3832,2383,2208,93,86,90,85,92])).
% 117.27/117.32  cnf(3864,plain,
% 117.27/117.32     (P4(a8,a8,a8,a2,a4,a5,a6,a7)),
% 117.27/117.32     inference(scs_inference,[],[3588,3851,3832,2383,2775,3322,2208,93,86,90,85,92,84,100])).
% 117.27/117.32  cnf(3866,plain,
% 117.27/117.32     (P4(a6,a7,a8,a1,a1,a8,a7,a7)),
% 117.27/117.32     inference(scs_inference,[],[3588,3851,3832,2383,2775,3322,3353,2208,93,86,90,85,92,84,100,98])).
% 117.27/117.32  cnf(3868,plain,
% 117.27/117.32     (~P4(a1,a7,a8,a1,a2,a3,a7,a2)),
% 117.27/117.32     inference(scs_inference,[],[3588,3851,3858,3832,2383,2775,3322,3353,2208,93,86,90,85,92,84,100,98,89])).
% 117.27/117.32  cnf(3869,plain,
% 117.27/117.32     (~P4(a1,a7,a2,a1,a2,a3,a7,x38691)),
% 117.27/117.32     inference(rename_variables,[],[3588])).
% 117.27/117.32  cnf(3871,plain,
% 117.27/117.32     (P4(a8,a8,a8,a2,a2,a5,a6,a7)),
% 117.27/117.32     inference(scs_inference,[],[3681,3588,3851,3858,3832,2383,2775,3322,3353,2208,93,86,90,85,92,84,100,98,89,102])).
% 117.27/117.32  cnf(3875,plain,
% 117.27/117.32     (P4(a6,a7,a1,a1,a1,a8,a7,a7)),
% 117.27/117.32     inference(scs_inference,[],[3644,3681,3588,3851,3858,3832,2383,2775,3322,3353,2208,93,86,90,85,92,84,100,98,89,102,87,97])).
% 117.27/117.32  cnf(3877,plain,
% 117.27/117.32     (P4(a1,a1,a8,a1,a8,a1,a7,a2)),
% 117.27/117.32     inference(scs_inference,[],[3644,3681,3588,3851,3858,3832,2383,2775,3297,3322,3353,2208,93,86,90,85,92,84,100,98,89,102,87,97,99])).
% 117.27/117.32  cnf(3884,plain,
% 117.27/117.32     (~P4(a1,a7,a2,a1,a2,a3,a7,x38841)),
% 117.27/117.32     inference(rename_variables,[],[3588])).
% 117.27/117.32  cnf(3886,plain,
% 117.27/117.32     (P4(a1,a8,a8,a2,a1,a8,a7,a7)),
% 117.27/117.32     inference(scs_inference,[],[3644,3681,3588,3851,3858,3869,3832,2271,2383,2775,3297,3322,3353,3834,3443,2208,93,86,90,85,92,84,100,98,89,102,87,97,99,88,94,83,101])).
% 117.27/117.32  cnf(3891,plain,
% 117.27/117.32     (~P4(a7,a7,a1,a8,a7,a6,a2,a7)),
% 117.27/117.32     inference(scs_inference,[],[3644,3681,3588,3851,3858,3869,3884,3832,2271,2383,2775,3297,3322,3353,3834,3443,2208,23,93,86,90,85,92,84,100,98,89,102,87,97,99,88,94,83,101,91,110])).
% 117.27/117.32  cnf(3897,plain,
% 117.27/117.32     (P4(a8,a8,a8,a8,a5,a8,a6,a7)),
% 117.27/117.32     inference(scs_inference,[],[3644,3781,3681,3783,3588,3851,3858,3869,3884,3832,2271,2383,2775,3277,3297,3322,3353,3834,3443,2208,23,71,57,59,93,86,90,85,92,84,100,98,89,102,87,97,99,88,94,83,101,91,110,112,107,104])).
% 117.27/117.32  cnf(3903,plain,
% 117.27/117.32     (~P4(a7,a1,a2,a1,a7,a7,a7,a7)),
% 117.27/117.32     inference(scs_inference,[],[3644,3781,3681,3783,3588,3851,3858,3869,3884,3832,2271,2383,2775,3277,3297,3322,3353,3834,3443,2208,23,29,71,57,59,93,86,90,85,92,84,100,98,89,102,87,97,99,88,94,83,101,91,110,112,107,104,111,108,105])).
% 117.27/117.32  cnf(3905,plain,
% 117.27/117.32     (P4(a8,a8,a7,a2,a5,a1,a7,a7)),
% 117.27/117.32     inference(scs_inference,[],[3644,3781,3681,3783,3588,3851,3858,3869,3884,3832,2271,2383,2653,2775,3277,3297,3322,3353,3834,3443,2208,23,29,71,57,59,58,93,86,90,85,92,84,100,98,89,102,87,97,99,88,94,83,101,91,110,112,107,104,111,108,105,103])).
% 117.27/117.32  cnf(3907,plain,
% 117.27/117.32     (P4(a1,a1,a1,a1,a1,a4,a2,a6)),
% 117.27/117.32     inference(scs_inference,[],[3644,3781,3681,3783,3588,3851,3858,3869,3884,3832,2271,2383,2653,2775,3277,3297,3322,3353,3834,3443,2208,23,29,71,57,59,58,93,86,90,85,92,84,100,98,89,102,87,97,99,88,94,83,101,91,110,112,107,104,111,108,105,103,95])).
% 117.27/117.32  cnf(3909,plain,
% 117.27/117.32     (P4(a8,a8,a8,a8,a8,a5,a6,a2)),
% 117.27/117.32     inference(scs_inference,[],[3644,3781,3681,3783,3588,3851,3858,3869,3884,3832,2271,2383,2653,2775,3277,3297,3322,3353,3834,3443,2208,23,29,71,57,59,58,93,86,90,85,92,84,100,98,89,102,87,97,99,88,94,83,101,91,110,112,107,104,111,108,105,103,95,96])).
% 117.27/117.32  cnf(3917,plain,
% 117.27/117.32     (~P4(a8,a1,a2,a8,a1,a7,a7,a1)),
% 117.27/117.32     inference(scs_inference,[],[3797,3690,93,86])).
% 117.27/117.32  cnf(3919,plain,
% 117.27/117.32     (~P4(a7,a7,a1,a8,a4,a8,a2,a7)),
% 117.27/117.32     inference(scs_inference,[],[3797,3690,2379,93,86,90])).
% 117.27/117.32  cnf(3921,plain,
% 117.27/117.32     (~P4(a1,a1,a2,a1,a8,a3,a7,a3)),
% 117.27/117.32     inference(scs_inference,[],[3797,3677,3690,2379,93,86,90,85])).
% 117.27/117.32  cnf(3922,plain,
% 117.27/117.32     (~P4(a1,a1,a2,a1,a3,a3,a7,x39221)),
% 117.27/117.32     inference(rename_variables,[],[3677])).
% 117.27/117.32  cnf(3924,plain,
% 117.27/117.32     (~P4(a1,a1,a2,a8,a6,a5,a7,a7)),
% 117.27/117.32     inference(scs_inference,[],[3797,3677,2440,3690,2379,93,86,90,85,92])).
% 117.27/117.32  cnf(3928,plain,
% 117.27/117.32     (P4(a8,a8,a8,a2,a1,a5,a6,a7)),
% 117.27/117.32     inference(scs_inference,[],[3797,3677,2440,2790,3382,3690,2379,93,86,90,85,92,84,100])).
% 117.27/117.32  cnf(3930,plain,
% 117.27/117.32     (P4(a1,a1,a8,a2,a1,a5,a7,a7)),
% 117.27/117.32     inference(scs_inference,[],[3797,3677,2440,2790,3382,3394,3690,2379,93,86,90,85,92,84,100,98])).
% 117.27/117.32  cnf(3934,plain,
% 117.27/117.32     (~P4(a1,a1,a8,a1,a3,a3,a7,a2)),
% 117.27/117.32     inference(scs_inference,[],[3797,3677,3922,2440,2492,2790,3382,3394,3690,2379,93,86,90,85,92,84,100,98,102,89])).
% 117.27/117.32  cnf(3935,plain,
% 117.27/117.32     (~P4(a1,a1,a2,a1,a3,a3,a7,x39351)),
% 117.27/117.32     inference(rename_variables,[],[3677])).
% 117.27/117.32  cnf(3939,plain,
% 117.27/117.32     (P4(a1,a1,a1,a2,a1,a5,a7,a7)),
% 117.27/117.32     inference(scs_inference,[],[2559,3797,3677,3922,2440,2492,2790,3382,3394,3690,2379,93,86,90,85,92,84,100,98,102,89,87,97])).
% 117.27/117.32  cnf(3941,plain,
% 117.27/117.32     (P4(a1,a1,a8,a2,a1,a4,a7,a7)),
% 117.27/117.32     inference(scs_inference,[],[2559,3797,3677,3922,2440,2492,2790,3382,3394,3398,3690,2379,93,86,90,85,92,84,100,98,102,89,87,97,99])).
% 117.27/117.32  cnf(3943,plain,
% 117.27/117.32     (~P4(a7,a7,a8,a1,a2,a1,a7,a2)),
% 117.27/117.32     inference(scs_inference,[],[2559,3797,3677,3922,2440,2492,2790,3382,3394,3398,3690,2747,2379,93,86,90,85,92,84,100,98,102,89,87,97,99,88])).
% 117.27/117.32  cnf(3945,plain,
% 117.27/117.32     (~P4(a1,a7,a2,a8,a5,a6,a7,a1)),
% 117.27/117.32     inference(scs_inference,[],[2559,3797,3677,3922,2440,2489,2492,2790,3382,3394,3398,3690,2747,2379,93,86,90,85,92,84,100,98,102,89,87,97,99,88,94])).
% 117.27/117.32  cnf(3948,plain,
% 117.27/117.32     (~P4(a1,a1,a2,a1,a3,a3,a7,x39481)),
% 117.27/117.32     inference(rename_variables,[],[3677])).
% 117.27/117.32  cnf(3954,plain,
% 117.27/117.32     (~P4(a1,a1,a2,a1,a3,a2,a7,x39541)),
% 117.27/117.32     inference(scs_inference,[],[2559,3797,3677,3922,3935,3948,2440,2489,2492,2790,3382,3394,3398,3690,2747,2379,149,61,93,86,90,85,92,84,100,98,102,89,87,97,99,88,94,83,101,91,112])).
% 117.27/117.32  cnf(3956,plain,
% 117.27/117.32     (P4(a8,a8,a8,a2,a1,a4,a7,a7)),
% 117.27/117.32     inference(scs_inference,[],[3740,2559,3797,3677,3922,3935,3948,2440,2489,2492,2790,3382,3394,3398,3690,2747,2379,149,61,58,93,86,90,85,92,84,100,98,102,89,87,97,99,88,94,83,101,91,112,107])).
% 117.27/117.32  cnf(3962,plain,
% 117.27/117.32     (~P4(a1,a1,a2,a1,a2,a6,a7,x39621)),
% 117.27/117.32     inference(scs_inference,[],[15,3740,2559,3797,3677,3922,3935,3948,3820,2440,2489,2492,2790,3293,3382,3394,3398,3690,2747,2379,149,62,61,58,59,93,86,90,85,92,84,100,98,102,89,87,97,99,88,94,83,101,91,112,107,109,104,111])).
% 117.27/117.32  cnf(3966,plain,
% 117.27/117.32     (P4(a6,a1,a1,a1,a8,a1,a6,a2)),
% 117.27/117.32     inference(scs_inference,[],[15,3740,3807,2559,3797,3677,3922,3935,3948,3820,2440,2489,2492,2790,3293,3334,3382,3394,3398,3690,2747,2379,149,62,61,57,60,58,59,93,86,90,85,92,84,100,98,102,89,87,97,99,88,94,83,101,91,112,107,109,104,111,108,103])).
% 117.27/117.32  cnf(3968,plain,
% 117.27/117.32     (P4(a6,a1,a1,a8,a4,a8,a7,a2)),
% 117.27/117.32     inference(scs_inference,[],[15,3740,3807,2559,3797,3677,3922,3935,3948,3820,2440,2489,2492,2790,3293,3334,3382,3394,3398,3690,2747,2379,149,62,61,57,60,58,59,93,86,90,85,92,84,100,98,102,89,87,97,99,88,94,83,101,91,112,107,109,104,111,108,103,96])).
% 117.27/117.32  cnf(3976,plain,
% 117.27/117.32     (~P4(a8,a8,a2,a1,a1,a7,a7,a1)),
% 117.27/117.32     inference(scs_inference,[],[3402,3705,93,86])).
% 117.27/117.32  cnf(3978,plain,
% 117.27/117.32     (~P4(a7,a7,a1,a8,a5,a8,a2,a7)),
% 117.27/117.32     inference(scs_inference,[],[3402,3705,2494,93,86,90])).
% 117.27/117.32  cnf(3981,plain,
% 117.27/117.32     (~P4(a1,a1,a2,a1,a1,a4,a7,x39811)),
% 117.27/117.32     inference(rename_variables,[],[3730])).
% 117.27/117.32  cnf(3983,plain,
% 117.27/117.32     (~P4(a1,a1,a2,a8,a6,a4,a7,a7)),
% 117.27/117.32     inference(scs_inference,[],[3402,3730,2498,3705,2494,93,86,90,85,92])).
% 117.27/117.32  cnf(3987,plain,
% 117.27/117.32     (P4(a1,a8,a1,a2,a1,a5,a7,a7)),
% 117.27/117.32     inference(scs_inference,[],[3402,3730,2498,3003,3389,3705,2494,93,86,90,85,92,84,100])).
% 117.27/117.32  cnf(3989,plain,
% 117.27/117.32     (P4(a8,a8,a8,a2,a2,a1,a6,a7)),
% 117.27/117.32     inference(scs_inference,[],[3402,3730,2498,3003,3389,3504,3705,2494,93,86,90,85,92,84,100,98])).
% 117.27/117.32  cnf(3992,plain,
% 117.27/117.32     (~P4(a1,a1,a2,a1,a1,a4,a7,x39921)),
% 117.27/117.32     inference(rename_variables,[],[3730])).
% 117.27/117.32  cnf(3994,plain,
% 117.27/117.32     (P4(a8,a8,a7,a2,a4,a5,a6,a7)),
% 117.27/117.32     inference(scs_inference,[],[3402,3730,3981,2498,2535,3003,3389,3504,3705,2494,93,86,90,85,92,84,100,98,89,102])).
% 117.27/117.32  cnf(3996,plain,
% 117.27/117.32     (~P4(a1,a1,a2,a8,a1,a4,a7,a1)),
% 117.27/117.32     inference(scs_inference,[],[3402,3730,3981,3992,2498,2535,3003,3389,3504,3705,2494,93,86,90,85,92,84,100,98,89,102,87])).
% 117.27/117.32  cnf(3997,plain,
% 117.27/117.32     (~P4(a1,a1,a2,a1,a1,a4,a7,x39971)),
% 117.27/117.32     inference(rename_variables,[],[3730])).
% 117.27/117.32  cnf(4001,plain,
% 117.27/117.32     (P4(a1,a1,a8,a2,a4,a1,a7,a7)),
% 117.27/117.32     inference(scs_inference,[],[3402,3730,3981,3992,2498,2535,3003,3389,3458,3504,3542,3705,2494,93,86,90,85,92,84,100,98,89,102,87,97,99])).
% 117.27/117.32  cnf(4003,plain,
% 117.27/117.32     (~P4(a7,a7,a8,a1,a5,a1,a7,a2)),
% 117.27/117.32     inference(scs_inference,[],[3402,3730,3981,3992,2498,2535,3003,3389,3458,3504,3542,3705,2786,2494,93,86,90,85,92,84,100,98,89,102,87,97,99,88])).
% 117.27/117.32  cnf(4005,plain,
% 117.27/117.32     (~P4(a1,a7,a2,a8,a6,a5,a7,a1)),
% 117.27/117.32     inference(scs_inference,[],[3402,3730,3981,3992,2498,2535,2544,3003,3389,3458,3504,3542,3705,2786,2494,93,86,90,85,92,84,100,98,89,102,87,97,99,88,94])).
% 117.27/117.32  cnf(4011,plain,
% 117.27/117.32     (~P4(a1,a1,a2,a1,a1,a8,a7,a4)),
% 117.27/117.32     inference(scs_inference,[],[3402,3891,3730,3981,3992,3997,2498,2535,2544,3003,3389,3458,3504,3542,3705,3966,2786,2494,93,86,90,85,92,84,100,98,89,102,87,97,99,88,94,91,101,83])).
% 117.27/117.32  cnf(4016,plain,
% 117.27/117.32     (P4(a1,a1,a1,a1,a1,a4,a7,a6)),
% 117.27/117.32     inference(scs_inference,[],[3907,3402,3891,3730,3981,3992,3997,2498,2535,2544,3003,3389,3458,3504,3542,3705,3966,2786,2494,69,57,93,86,90,85,92,84,100,98,89,102,87,97,99,88,94,91,101,83,112,107])).
% 117.27/117.32  cnf(4018,plain,
% 117.27/117.32     (P4(a6,a1,a7,a2,a5,a8,a7,a7)),
% 117.27/117.32     inference(scs_inference,[],[3907,3402,3891,3730,3981,3992,3997,2498,2535,2544,2984,3003,3389,3458,3504,3542,3705,3966,2786,2494,69,57,58,93,86,90,85,92,84,100,98,89,102,87,97,99,88,94,91,101,83,112,107,104])).
% 117.27/117.32  cnf(4026,plain,
% 117.27/117.32     (P4(a8,a7,a8,a2,a5,a1,a7,a7)),
% 117.27/117.32     inference(scs_inference,[],[3907,3909,2261,3402,3891,3730,3981,3992,3997,2498,2535,2544,2660,2984,3003,3389,3458,3504,3542,3705,3919,3966,2786,2494,44,69,72,57,58,93,86,90,85,92,84,100,98,89,102,87,97,99,88,94,91,101,83,112,107,104,111,106,108,103])).
% 117.27/117.32  cnf(4028,plain,
% 117.27/117.32     (P4(a1,a1,a1,a1,a1,a8,a2,a6)),
% 117.27/117.32     inference(scs_inference,[],[3907,3909,2261,3402,3891,3730,3981,3992,3997,2498,2535,2544,2660,2984,3003,3389,3458,3504,3542,3705,3919,3966,2786,2494,44,69,72,57,58,93,86,90,85,92,84,100,98,89,102,87,97,99,88,94,91,101,83,112,107,104,111,106,108,103,204])).
% 117.27/117.32  cnf(4036,plain,
% 117.27/117.32     (~P4(a8,a1,a2,a1,a1,a4,a7,a1)),
% 117.27/117.32     inference(scs_inference,[],[2870,3707,93,86])).
% 117.27/117.32  cnf(4038,plain,
% 117.27/117.32     (~P4(a7,a7,a1,a8,a6,a8,a2,a7)),
% 117.27/117.32     inference(scs_inference,[],[2870,3707,2551,93,86,90])).
% 117.27/117.32  cnf(4040,plain,
% 117.27/117.32     (~P4(a1,a1,a2,a1,a8,a3,a7,a2)),
% 117.27/117.32     inference(scs_inference,[],[2870,3757,3707,2551,93,86,90,85])).
% 117.27/117.32  cnf(4041,plain,
% 117.27/117.32     (~P4(a1,a1,a2,a1,a2,a3,a7,x40411)),
% 117.27/117.32     inference(rename_variables,[],[3757])).
% 117.27/117.32  cnf(4043,plain,
% 117.27/117.32     (~P4(a1,a1,a2,a8,a6,a2,a7,a7)),
% 117.27/117.32     inference(scs_inference,[],[2870,3757,2557,3707,2551,93,86,90,85,92])).
% 117.27/117.32  cnf(4047,plain,
% 117.27/117.32     (P4(a1,a8,a1,a8,a8,a1,a6,a7)),
% 117.27/117.32     inference(scs_inference,[],[2870,3757,2557,3076,3417,3707,2551,93,86,90,85,92,84,100])).
% 117.27/117.32  cnf(4049,plain,
% 117.27/117.32     (P4(a1,a1,a8,a8,a8,a1,a7,a7)),
% 117.27/117.32     inference(scs_inference,[],[2870,3757,2557,3076,3417,3633,3707,2551,93,86,90,85,92,84,100,98])).
% 117.27/117.32  cnf(4052,plain,
% 117.27/117.32     (~P4(a1,a1,a2,a1,a2,a3,a7,x40521)),
% 117.27/117.32     inference(rename_variables,[],[3757])).
% 117.27/117.32  cnf(4054,plain,
% 117.27/117.32     (P4(a8,a1,a1,a2,a5,a4,a7,a6)),
% 117.27/117.32     inference(scs_inference,[],[2870,3757,4041,2557,2667,3076,3417,3633,3707,2551,93,86,90,85,92,84,100,98,89,102])).
% 117.27/117.32  cnf(4057,plain,
% 117.27/117.32     (~P4(a1,a1,a2,a1,a2,a3,a7,x40571)),
% 117.27/117.32     inference(rename_variables,[],[3757])).
% 117.27/117.32  cnf(4061,plain,
% 117.27/117.32     (~P4(a7,a7,a8,a1,a6,a1,a7,a2)),
% 117.27/117.32     inference(scs_inference,[],[2870,3757,4041,4052,2557,2667,3076,3417,3575,3633,3707,2684,2551,93,86,90,85,92,84,100,98,89,102,87,97,88])).
% 117.27/117.32  cnf(4065,plain,
% 117.27/117.32     (~P4(a1,a7,a2,a8,a6,a4,a7,a1)),
% 117.27/117.32     inference(scs_inference,[],[2870,3757,4041,4052,2557,2606,2667,3076,3417,3575,3633,3656,3707,2684,2551,93,86,90,85,92,84,100,98,89,102,87,97,88,99,94])).
% 117.27/117.32  cnf(4067,plain,
% 117.27/117.32     (P4(a1,a7,a7,a2,a8,a1,a7,a6)),
% 117.27/117.32     inference(scs_inference,[],[2870,3757,4041,4052,2557,2606,2667,3076,3417,3575,3633,3656,3707,2684,2551,2285,93,86,90,85,92,84,100,98,89,102,87,97,88,99,94,101])).
% 117.27/117.32  cnf(4069,plain,
% 117.27/117.32     (~P4(a1,a8,a2,a1,a2,a3,a7,a1)),
% 117.27/117.32     inference(scs_inference,[],[2870,3757,4041,4052,4057,2557,2606,2667,3076,3417,3575,3633,3656,3707,2684,2551,2285,93,86,90,85,92,84,100,98,89,102,87,97,88,99,94,101,91])).
% 117.27/117.32  cnf(4070,plain,
% 117.27/117.32     (~P4(a1,a1,a2,a1,a2,a3,a7,x40701)),
% 117.27/117.32     inference(rename_variables,[],[3757])).
% 117.27/117.32  cnf(4077,plain,
% 117.27/117.32     (P4(a8,a8,a8,a2,a1,a5,a7,a7)),
% 117.27/117.32     inference(scs_inference,[],[3860,3928,2870,3757,4041,4052,4057,4070,2557,2606,2667,3076,3417,3575,3633,3656,3707,2684,2551,2285,61,58,93,86,90,85,92,84,100,98,89,102,87,97,88,99,94,101,91,83,112,107])).
% 117.27/117.32  cnf(4083,plain,
% 117.27/117.32     (~P4(a1,a1,a2,a8,a3,a5,a7,a7)),
% 117.27/117.32     inference(scs_inference,[],[3968,3799,3860,3924,3928,2870,3757,4041,4052,4057,4070,2557,2606,2667,3076,3417,3575,3633,3656,3707,2684,2551,2285,22,68,61,57,58,93,86,90,85,92,84,100,98,89,102,87,97,88,99,94,101,91,83,112,107,109,104,111])).
% 117.27/117.32  cnf(4085,plain,
% 117.27/117.32     (P4(a6,a7,a1,a8,a8,a1,a2,a7)),
% 117.27/117.32     inference(scs_inference,[],[3968,3799,3860,3924,3928,2870,3757,4041,4052,4057,4070,2557,2606,2667,3076,3359,3417,3575,3633,3656,3707,2684,2551,2285,22,68,61,57,58,93,86,90,85,92,84,100,98,89,102,87,97,88,99,94,101,91,83,112,107,109,104,111,108])).
% 117.27/117.32  cnf(4087,plain,
% 117.27/117.32     (~P4(a7,a7,a8,a1,a2,a7,a7,a2)),
% 117.27/117.32     inference(scs_inference,[],[15,3968,3799,3860,3924,3928,2870,3757,4041,4052,4057,4070,2557,2606,2667,3076,3359,3417,3575,3633,3656,3707,3943,2684,2551,2285,22,68,61,57,58,93,86,90,85,92,84,100,98,89,102,87,97,88,99,94,101,91,83,112,107,109,104,111,108,105])).
% 117.27/117.32  cnf(4093,plain,
% 117.27/117.32     (P4(a1,a8,a1,a2,a5,a1,a7,a7)),
% 117.27/117.32     inference(scs_inference,[],[3698,97])).
% 117.27/117.32  cnf(4095,plain,
% 117.27/117.32     (P4(a1,a1,a7,a2,a8,a1,a7,a7)),
% 117.27/117.32     inference(scs_inference,[],[3698,3755,97,99])).
% 117.27/117.32  cnf(4097,plain,
% 117.27/117.32     (~P4(a7,a7,a2,a1,a1,a7,a7,x40971)),
% 117.27/117.32     inference(scs_inference,[],[3698,3755,2884,97,99,88])).
% 117.27/117.32  cnf(4099,plain,
% 117.27/117.32     (~P4(a1,a1,a2,a1,a7,a7,a7,a7)),
% 117.27/117.32     inference(scs_inference,[],[3903,3698,3755,2884,97,99,88,94])).
% 117.27/117.32  cnf(4101,plain,
% 117.27/117.32     (~P4(a1,a8,a2,a1,a4,a6,a7,a1)),
% 117.27/117.32     inference(scs_inference,[],[3903,3840,3698,3755,2884,97,99,88,94,91])).
% 117.27/117.32  cnf(4102,plain,
% 117.27/117.32     (~P4(a1,a1,a2,a1,a4,a6,a7,x41021)),
% 117.27/117.32     inference(rename_variables,[],[3840])).
% 117.27/117.32  cnf(4106,plain,
% 117.27/117.32     (~P4(a7,a1,a2,a1,a7,a8,a7,a7)),
% 117.27/117.32     inference(scs_inference,[],[3903,3840,3698,3755,2884,312,97,99,88,94,91,101,83])).
% 117.27/117.32  cnf(4108,plain,
% 117.27/117.32     (~P4(a8,a1,a2,a1,a7,a7,a7,a7)),
% 117.27/117.32     inference(scs_inference,[],[3903,3840,3698,3755,2884,312,97,99,88,94,91,101,83,93])).
% 117.27/117.32  cnf(4112,plain,
% 117.27/117.32     (~P4(a7,a7,a1,a7,a4,x41121,a2,x41122)),
% 117.27/117.32     inference(scs_inference,[],[3903,3840,3698,3755,2884,1122,312,97,99,88,94,91,101,83,93,86,90])).
% 117.27/117.32  cnf(4114,plain,
% 117.27/117.32     (~P4(a7,a1,a2,a1,a8,a7,a7,a7)),
% 117.27/117.32     inference(scs_inference,[],[3903,3840,3698,3755,2884,1122,312,97,99,88,94,91,101,83,93,86,90,85])).
% 117.27/117.32  cnf(4122,plain,
% 117.27/117.32     (P4(a1,a7,a8,a2,a8,a1,a7,a7)),
% 117.27/117.32     inference(scs_inference,[],[3903,3840,2662,3351,3450,3698,3755,2884,1122,312,97,99,88,94,91,101,83,93,86,90,85,92,84,100,98])).
% 117.27/117.32  cnf(4125,plain,
% 117.27/117.32     (~P4(a1,a1,a2,a1,a4,a6,a7,x41251)),
% 117.27/117.32     inference(rename_variables,[],[3840])).
% 117.27/117.32  cnf(4136,plain,
% 117.27/117.32     (P4(a1,a1,a1,a1,a1,a8,a2,a7)),
% 117.27/117.32     inference(scs_inference,[],[4028,3939,3903,3840,4102,4125,2662,2843,3351,3450,3698,3755,2884,1122,312,72,57,58,97,99,88,94,91,101,83,93,86,90,85,92,84,100,98,89,102,87,112,107,104])).
% 117.27/117.32  cnf(4138,plain,
% 117.27/117.32     (P4(a8,a1,a1,a2,a7,a8,a7,a6)),
% 117.27/117.32     inference(scs_inference,[],[4028,3569,3939,3903,3840,4102,4125,2662,2843,3351,3450,3698,3755,2884,1122,312,72,57,58,97,99,88,94,91,101,83,93,86,90,85,92,84,100,98,89,102,87,112,107,104,111])).
% 117.27/117.32  cnf(4140,plain,
% 117.27/117.32     (~P4(a7,a7,a1,a8,a5,a7,a2,a7)),
% 117.27/117.32     inference(scs_inference,[],[4028,3569,3939,3903,3840,4102,4125,2662,2843,3351,3450,3698,3755,3978,2884,1122,312,51,72,57,58,97,99,88,94,91,101,83,93,86,90,85,92,84,100,98,89,102,87,112,107,104,111,106])).
% 117.27/117.32  cnf(4144,plain,
% 117.27/117.32     (P4(a7,a8,a8,a2,a2,a1,a7,a7)),
% 117.27/117.32     inference(scs_inference,[],[4028,3569,3939,3903,3840,4102,4125,2662,2843,3064,3237,3351,3450,3698,3755,3978,2884,1122,312,51,72,57,59,58,97,99,88,94,91,101,83,93,86,90,85,92,84,100,98,89,102,87,112,107,104,111,106,108,103])).
% 117.27/117.32  cnf(4146,plain,
% 117.27/117.32     (P4(a1,a1,a1,a2,a1,a8,a7,a7)),
% 117.27/117.32     inference(scs_inference,[],[4028,3569,3939,3903,3840,4102,4125,2662,2843,3064,3237,3351,3450,3698,3755,3978,2884,1122,312,51,72,57,59,58,97,99,88,94,91,101,83,93,86,90,85,92,84,100,98,89,102,87,112,107,104,111,106,108,103,204])).
% 117.27/117.32  cnf(4148,plain,
% 117.27/117.32     (P4(a6,a1,a1,a8,a8,a4,a7,a2)),
% 117.27/117.32     inference(scs_inference,[],[4028,3569,3939,3903,3840,4102,4125,2662,2843,3064,3237,3351,3450,3698,3755,3978,2884,1122,312,51,72,57,59,58,97,99,88,94,91,101,83,93,86,90,85,92,84,100,98,89,102,87,112,107,104,111,106,108,103,204,96])).
% 117.27/117.32  cnf(4152,plain,
% 117.27/117.32     (~P4(a7,a7,a8,a1,a5,a7,a7,a2)),
% 117.27/117.32     inference(scs_inference,[],[4028,3569,3939,3903,3840,4102,4125,2662,2843,3064,3237,3351,3450,3698,3755,3978,4003,2884,1122,312,2216,51,50,72,57,59,58,97,99,88,94,91,101,83,93,86,90,85,92,84,100,98,89,102,87,112,107,104,111,106,108,103,204,96,109,105])).
% 117.27/117.32  cnf(4154,plain,
% 117.27/117.32     (P4(a8,a8,a1,a2,a1,a4,a7,a7)),
% 117.27/117.32     inference(scs_inference,[],[3803,97])).
% 117.27/117.32  cnf(4156,plain,
% 117.27/117.32     (~P4(a7,a7,a8,a1,a6,a7,a7,a2)),
% 117.27/117.32     inference(scs_inference,[],[3803,2249,97,88])).
% 117.27/117.32  cnf(4158,plain,
% 117.27/117.32     (P4(a1,a1,a8,a2,a5,a1,a7,a7)),
% 117.27/117.32     inference(scs_inference,[],[3827,3803,2249,97,88,99])).
% 117.27/117.32  cnf(4160,plain,
% 117.27/117.32     (~P4(a1,a7,a8,a1,a5,a7,a7,a2)),
% 117.27/117.32     inference(scs_inference,[],[3827,4152,3803,2249,97,88,99,94])).
% 117.27/117.32  cnf(4162,plain,
% 117.27/117.32     (~P4(a7,a8,a1,a7,a4,x41621,a2,a7)),
% 117.27/117.32     inference(scs_inference,[],[3827,4152,4112,3803,2249,97,88,99,94,91])).
% 117.27/117.32  cnf(4163,plain,
% 117.27/117.32     (~P4(a7,a7,a1,a7,a4,x41631,a2,x41632)),
% 117.27/117.32     inference(rename_variables,[],[4112])).
% 117.27/117.32  cnf(4165,plain,
% 117.27/117.32     (P4(a1,a8,a8,a2,a2,a1,a7,a7)),
% 117.27/117.32     inference(scs_inference,[],[3827,4152,4112,3803,4144,2249,97,88,99,94,91,101])).
% 117.27/117.32  cnf(4170,plain,
% 117.27/117.32     (~P4(a8,a7,a1,a7,a4,x41701,a2,a7)),
% 117.27/117.32     inference(scs_inference,[],[3827,4152,4112,4163,3853,3803,4144,2249,97,88,99,94,91,101,83,93])).
% 117.27/117.32  cnf(4171,plain,
% 117.27/117.32     (~P4(a7,a7,a1,a7,a4,x41711,a2,x41712)),
% 117.27/117.32     inference(rename_variables,[],[4112])).
% 117.27/117.32  cnf(4173,plain,
% 117.27/117.32     (~P4(a8,a1,a2,a1,a1,a6,a7,a1)),
% 117.27/117.32     inference(scs_inference,[],[3827,4152,4112,4163,3853,3789,3803,4144,2249,97,88,99,94,91,101,83,93,86])).
% 117.27/117.32  cnf(4175,plain,
% 117.27/117.32     (~P4(a7,a7,a1,a7,a1,x41751,a2,x41752)),
% 117.27/117.32     inference(scs_inference,[],[3827,4152,4112,4163,3853,3789,3803,4144,2837,2249,97,88,99,94,91,101,83,93,86,90])).
% 117.27/117.32  cnf(4178,plain,
% 117.27/117.32     (~P4(a7,a7,a1,a7,a4,x41781,a2,x41782)),
% 117.27/117.32     inference(rename_variables,[],[4112])).
% 117.27/117.32  cnf(4180,plain,
% 117.27/117.32     (~P4(a7,a1,a8,a1,a5,a7,a7,a2)),
% 117.27/117.32     inference(scs_inference,[],[3827,4152,4112,4163,4171,3853,3789,3803,4144,2837,2249,97,88,99,94,91,101,83,93,86,90,85,92])).
% 117.27/117.32  cnf(4182,plain,
% 117.27/117.32     (~P4(a7,a8,a2,a1,a1,a1,a7,a1)),
% 117.27/117.32     inference(scs_inference,[],[3827,4152,4112,4163,4171,3853,3586,3789,3803,4144,2837,2249,97,88,99,94,91,101,83,93,86,90,85,92,84])).
% 117.27/117.32  cnf(4184,plain,
% 117.27/117.32     (P4(a6,a8,a1,a8,a1,a8,a2,a7)),
% 117.27/117.32     inference(scs_inference,[],[3827,4152,4112,4163,4171,3853,3472,3586,3789,3803,4144,2837,2249,97,88,99,94,91,101,83,93,86,90,85,92,84,100])).
% 117.27/117.32  cnf(4186,plain,
% 117.27/117.32     (P4(a8,a1,a8,a2,a1,a4,a7,a7)),
% 117.27/117.32     inference(scs_inference,[],[3827,4152,4112,4163,4171,3853,3472,3586,3789,3803,3818,4144,2837,2249,97,88,99,94,91,101,83,93,86,90,85,92,84,100,98])).
% 117.27/117.32  cnf(4189,plain,
% 117.27/117.32     (~P4(a7,a7,a1,a7,a4,x41891,a2,x41892)),
% 117.27/117.32     inference(rename_variables,[],[4112])).
% 117.27/117.32  cnf(4193,plain,
% 117.27/117.32     (~P4(a7,a7,a1,a8,a4,x41931,a2,a7)),
% 117.27/117.32     inference(scs_inference,[],[3534,3827,4152,4112,4163,4171,4178,4189,3853,3472,3586,3789,3803,3818,4144,2837,2249,97,88,99,94,91,101,83,93,86,90,85,92,84,100,98,89,102,87])).
% 117.27/117.32  cnf(4196,plain,
% 117.27/117.32     (~P4(a1,a1,a2,a8,a6,a7,a7,a7)),
% 117.27/117.32     inference(scs_inference,[],[3983,3534,3827,4152,4112,4163,4171,4178,4189,3853,3472,3586,3789,3803,3818,4144,2837,2249,65,97,88,99,94,91,101,83,93,86,90,85,92,84,100,98,89,102,87,112])).
% 117.27/117.32  cnf(4198,plain,
% 117.27/117.32     (P4(a1,a7,a7,a1,a1,a4,a7,a6)),
% 117.27/117.32     inference(scs_inference,[],[3983,2863,3534,3827,4152,4112,4163,4171,4178,4189,3853,3472,3586,3789,3803,3818,4144,2837,2249,65,58,97,88,99,94,91,101,83,93,86,90,85,92,84,100,98,89,102,87,112,107])).
% 117.27/117.32  cnf(4200,plain,
% 117.27/117.32     (~P4(a7,a7,a2,a1,a7,a7,a7,x42001)),
% 117.27/117.32     inference(scs_inference,[],[3983,2863,3534,3827,4152,4112,4163,4171,4178,4189,3853,4097,3472,3586,3789,3803,3818,4144,2837,2249,29,65,58,97,88,99,94,91,101,83,93,86,90,85,92,84,100,98,89,102,87,112,107,109])).
% 117.27/117.32  cnf(4204,plain,
% 117.27/117.32     (~P4(a1,a1,a2,a8,a3,a4,a7,a7)),
% 117.27/117.32     inference(scs_inference,[],[3983,2863,3534,3827,3886,4152,4112,4163,4171,4178,4189,3853,4097,3472,3586,3789,3803,3818,4144,2837,2249,29,65,68,60,58,97,88,99,94,91,101,83,93,86,90,85,92,84,100,98,89,102,87,112,107,109,104,111])).
% 117.27/117.32  cnf(4214,plain,
% 117.27/117.32     (P4(a8,a8,a1,a2,a5,a1,a7,a7)),
% 117.27/117.32     inference(scs_inference,[],[3905,97])).
% 117.27/117.32  cnf(4216,plain,
% 117.27/117.32     (~P4(a7,a8,a2,a1,a1,a7,a7,a7)),
% 117.27/117.32     inference(scs_inference,[],[3905,2198,97,88])).
% 117.27/117.32  cnf(4218,plain,
% 117.27/117.32     (P4(a6,a1,a8,a1,a1,a8,a7,a7)),
% 117.27/117.32     inference(scs_inference,[],[3866,3905,2198,97,88,99])).
% 117.27/117.32  cnf(4220,plain,
% 117.27/117.32     (~P4(a1,a1,a2,a8,a1,a1,a7,a1)),
% 117.27/117.32     inference(scs_inference,[],[3253,3866,3905,2198,97,88,99,94])).
% 117.27/117.32  cnf(4224,plain,
% 117.27/117.32     (~P4(a7,a8,a2,a8,a1,a1,a7,a1)),
% 117.27/117.32     inference(scs_inference,[],[3253,3866,3905,2198,97,88,99,94,83,91])).
% 117.27/117.32  cnf(4226,plain,
% 117.27/117.32     (P4(a1,a7,a7,a2,a7,a1,a7,a7)),
% 117.27/117.32     inference(scs_inference,[],[3253,3866,3905,2198,2216,97,88,99,94,83,91,101])).
% 117.27/117.32  cnf(4228,plain,
% 117.27/117.32     (~P4(a8,a7,a1,a7,a1,x42281,a2,a7)),
% 117.27/117.32     inference(scs_inference,[],[3253,4175,3866,3905,2198,2216,97,88,99,94,83,91,101,93])).
% 117.27/117.32  cnf(4229,plain,
% 117.27/117.32     (~P4(a7,a7,a1,a7,a1,x42291,a2,x42292)),
% 117.27/117.32     inference(rename_variables,[],[4175])).
% 117.27/117.32  cnf(4237,plain,
% 117.27/117.32     (~P4(a7,a1,a2,a1,a7,a7,a7,x42371)),
% 117.27/117.32     inference(scs_inference,[],[3253,4175,4200,3822,3866,3905,1296,2198,2216,97,88,99,94,83,91,101,93,90,86,85,92])).
% 117.27/117.32  cnf(4239,plain,
% 117.27/117.32     (~P4(a7,a7,a2,a1,a7,a1,a7,x42391)),
% 117.27/117.32     inference(scs_inference,[],[3253,4175,4200,3822,3866,3905,1296,2198,2216,97,88,99,94,83,91,101,93,90,86,85,92,84])).
% 117.27/117.32  cnf(4241,plain,
% 117.27/117.32     (P4(a1,a8,a1,a8,a1,a8,a6,a7)),
% 117.27/117.32     inference(scs_inference,[],[3253,4175,4200,3476,3822,3866,3905,1296,2198,2216,97,88,99,94,83,91,101,93,90,86,85,92,84,100])).
% 117.27/117.32  cnf(4243,plain,
% 117.27/117.32     (P4(a6,a1,a8,a2,a5,a8,a7,a7)),
% 117.27/117.32     inference(scs_inference,[],[3253,4175,4200,3476,3822,3866,3905,4018,1296,2198,2216,97,88,99,94,83,91,101,93,90,86,85,92,84,100,98])).
% 117.27/117.32  cnf(4245,plain,
% 117.27/117.32     (~P4(a7,a7,a8,a7,a1,x42451,a2,a1)),
% 117.27/117.32     inference(scs_inference,[],[3253,4175,4229,4200,3476,3822,3866,3905,4018,1296,2198,2216,97,88,99,94,83,91,101,93,90,86,85,92,84,100,98,89])).
% 117.27/117.32  cnf(4246,plain,
% 117.27/117.32     (~P4(a7,a7,a1,a7,a1,x42461,a2,x42462)),
% 117.27/117.32     inference(rename_variables,[],[4175])).
% 117.27/117.32  cnf(4248,plain,
% 117.27/117.32     (P4(a8,a8,a8,a2,a2,a4,a6,a7)),
% 117.27/117.32     inference(scs_inference,[],[3253,4175,4229,4200,2942,3476,3822,3866,3905,4018,1296,2198,2216,97,88,99,94,83,91,101,93,90,86,85,92,84,100,98,89,102])).
% 117.27/117.32  cnf(4250,plain,
% 117.27/117.32     (~P4(a7,a7,a1,a8,a1,x42501,a2,a7)),
% 117.27/117.32     inference(scs_inference,[],[3253,4175,4229,4246,4200,2942,3476,3822,3866,3905,4018,1296,2198,2216,97,88,99,94,83,91,101,93,90,86,85,92,84,100,98,89,102,87])).
% 117.27/117.32  cnf(4255,plain,
% 117.27/117.32     (P4(a1,a1,a1,a2,a1,a8,a6,a7)),
% 117.27/117.32     inference(scs_inference,[],[4146,4148,3253,4175,4229,4246,4200,2942,3476,3822,3866,3905,4018,1296,2198,2216,69,60,97,88,99,94,83,91,101,93,90,86,85,92,84,100,98,89,102,87,112,107])).
% 117.27/117.32  cnf(4257,plain,
% 117.27/117.32     (P4(a8,a1,a1,a2,a1,a8,a7,a6)),
% 117.27/117.32     inference(scs_inference,[],[4146,4148,3253,4175,4229,4246,4200,2942,3476,3822,3866,3905,4018,4138,1296,2198,2216,8,69,60,97,88,99,94,83,91,101,93,90,86,85,92,84,100,98,89,102,87,112,107,109])).
% 117.27/117.32  cnf(4263,plain,
% 117.27/117.32     (~P4(a7,a7,a1,a8,a6,a7,a2,a7)),
% 117.27/117.32     inference(scs_inference,[],[4146,4148,3253,4175,4229,4246,4200,2252,2942,3476,3822,3866,3905,4018,4038,4138,1296,2198,2216,23,8,69,71,60,97,88,99,94,83,91,101,93,90,86,85,92,84,100,98,89,102,87,112,107,109,104,111,106])).
% 117.27/117.32  cnf(4267,plain,
% 117.27/117.32     (P4(a1,a1,a1,a8,a8,a1,a7,a6)),
% 117.27/117.32     inference(scs_inference,[],[4146,4148,3253,3336,4175,4229,4246,4200,2252,2942,3476,3822,3866,3905,4018,4038,4138,1296,2198,2216,23,8,69,71,57,60,58,97,88,99,94,83,91,101,93,90,86,85,92,84,100,98,89,102,87,112,107,109,104,111,106,108,103])).
% 117.27/117.32  cnf(4273,plain,
% 117.27/117.32     (~P4(a1,a7,a2,a1,a1,a7,a7,a7)),
% 117.27/117.32     inference(scs_inference,[],[4067,2194,97,88])).
% 117.27/117.32  cnf(4275,plain,
% 117.27/117.32     (P4(a1,a1,a7,a2,a8,a1,a7,a6)),
% 117.27/117.32     inference(scs_inference,[],[4067,2194,97,88,99])).
% 117.27/117.32  cnf(4277,plain,
% 117.27/117.32     (~P4(a1,a7,a8,a1,a2,a7,a7,a2)),
% 117.27/117.32     inference(scs_inference,[],[4067,4087,2194,97,88,99,94])).
% 117.27/117.32  cnf(4280,plain,
% 117.27/117.32     (~P4(a1,a1,a2,a1,a3,a2,a7,x42801)),
% 117.27/117.32     inference(rename_variables,[],[3954])).
% 117.27/117.32  cnf(4282,plain,
% 117.27/117.32     (~P4(a1,a1,a2,a1,a3,a8,a7,a2)),
% 117.27/117.32     inference(scs_inference,[],[4067,4087,3954,4280,2194,97,88,99,94,91,83])).
% 117.27/117.32  cnf(4283,plain,
% 117.27/117.32     (~P4(a1,a1,a2,a1,a3,a2,a7,x42831)),
% 117.27/117.32     inference(rename_variables,[],[3954])).
% 117.27/117.32  cnf(4286,plain,
% 117.27/117.32     (~P4(a1,a1,a2,a1,a3,a2,a7,x42861)),
% 117.27/117.32     inference(rename_variables,[],[3954])).
% 117.27/117.32  cnf(4288,plain,
% 117.27/117.32     (~P4(a7,a1,a2,a1,a1,a7,a7,x42881)),
% 117.27/117.32     inference(scs_inference,[],[4067,4087,3954,4280,4283,4237,2194,97,88,99,94,91,83,93,86])).
% 117.27/117.32  cnf(4290,plain,
% 117.27/117.32     (~P4(a7,a7,a1,a8,a2,a2,a2,a7)),
% 117.27/117.32     inference(scs_inference,[],[4067,4087,3954,4280,4283,4237,1360,2194,97,88,99,94,91,83,93,86,90])).
% 117.27/117.32  cnf(4294,plain,
% 117.27/117.32     (~P4(a7,a1,a8,a1,a2,a7,a7,a2)),
% 117.27/117.32     inference(scs_inference,[],[4067,4087,3954,4280,4283,4237,1360,2194,97,88,99,94,91,83,93,86,90,85,92])).
% 117.27/117.32  cnf(4296,plain,
% 117.27/117.32     (~P4(a7,a1,a2,a1,a7,a1,a7,x42961)),
% 117.27/117.32     inference(scs_inference,[],[4067,4087,3954,4280,4283,4237,1360,2194,97,88,99,94,91,83,93,86,90,85,92,84])).
% 117.27/117.32  cnf(4300,plain,
% 117.27/117.32     (P4(a1,a1,a8,a2,a8,a1,a7,a7)),
% 117.27/117.32     inference(scs_inference,[],[4067,4087,3954,4280,4283,4237,3482,4095,1360,2194,97,88,99,94,91,83,93,86,90,85,92,84,100,98])).
% 117.27/117.32  cnf(4303,plain,
% 117.27/117.32     (~P4(a1,a1,a2,a1,a3,a2,a7,x43031)),
% 117.27/117.32     inference(rename_variables,[],[3954])).
% 117.27/117.32  cnf(4310,plain,
% 117.27/117.32     (~P4(a1,a1,a8,a1,a1,a3,a7,a2)),
% 117.27/117.32     inference(scs_inference,[],[3736,4067,4087,3954,4280,4283,4286,4303,4237,3089,3482,4095,1360,2194,68,97,88,99,94,91,83,93,86,90,85,92,84,100,98,89,102,87,112])).
% 117.27/117.32  cnf(4319,plain,
% 117.27/117.32     (~P4(a1,a1,a2,a8,a3,a2,a7,a7)),
% 117.27/117.32     inference(scs_inference,[],[3287,3736,4043,4067,4087,3954,4280,4283,4286,4303,4228,4237,3089,3329,3482,4095,1360,2194,15,68,59,58,97,88,99,94,91,83,93,86,90,85,92,84,100,98,89,102,87,112,107,109,104,111])).
% 117.27/117.32  cnf(4334,plain,
% 117.27/117.32     (P4(a6,a1,a1,a1,a1,a8,a7,a7)),
% 117.27/117.32     inference(scs_inference,[],[3875,4198,97,99])).
% 117.27/117.32  cnf(4341,plain,
% 117.27/117.32     (~P4(a1,a1,a2,a1,a2,a6,a7,x43411)),
% 117.27/117.32     inference(rename_variables,[],[3962])).
% 117.27/117.32  cnf(4343,plain,
% 117.27/117.32     (~P4(a7,a8,a2,a8,a1,a7,a7,a1)),
% 117.27/117.32     inference(scs_inference,[],[3573,3962,3875,4198,2351,97,99,88,94,83,91])).
% 117.27/117.32  cnf(4345,plain,
% 117.27/117.32     (~P4(a8,a7,a1,a8,a5,a7,a2,a7)),
% 117.27/117.32     inference(scs_inference,[],[3573,4140,3962,3875,4198,2351,97,99,88,94,83,91,93])).
% 117.27/117.32  cnf(4347,plain,
% 117.27/117.32     (~P4(a1,a8,a2,a1,a1,a6,a7,a1)),
% 117.27/117.32     inference(scs_inference,[],[3573,4140,3962,3829,3875,4198,2351,97,99,88,94,83,91,93,86])).
% 117.27/117.32  cnf(4351,plain,
% 117.27/117.32     (~P4(a1,a1,a2,a1,a8,a6,a7,a2)),
% 117.27/117.32     inference(scs_inference,[],[3573,4140,3962,4341,3829,3875,4198,1517,2351,97,99,88,94,83,91,93,86,90,85])).
% 117.27/117.32  cnf(4352,plain,
% 117.27/117.32     (~P4(a1,a1,a2,a1,a2,a6,a7,x43521)),
% 117.27/117.32     inference(rename_variables,[],[3962])).
% 117.27/117.32  cnf(4354,plain,
% 117.27/117.32     (~P4(a7,a1,a8,a1,a6,a7,a7,a2)),
% 117.27/117.32     inference(scs_inference,[],[3573,4140,4156,3962,4341,3829,3875,4198,1517,2351,97,99,88,94,83,91,93,86,90,85,92])).
% 117.27/117.32  cnf(4358,plain,
% 117.27/117.32     (P4(a6,a8,a8,a8,a1,a8,a2,a7)),
% 117.27/117.32     inference(scs_inference,[],[3573,4140,4156,3962,4341,3564,3592,3829,3875,4198,1517,2351,97,99,88,94,83,91,93,86,90,85,92,84,100])).
% 117.27/117.32  cnf(4360,plain,
% 117.27/117.32     (P4(a7,a7,a8,a2,a8,a4,a6,a7)),
% 117.27/117.32     inference(scs_inference,[],[3573,4140,4156,3962,4341,3564,3592,3829,3875,4198,802,1517,2351,97,99,88,94,83,91,93,86,90,85,92,84,100,98])).
% 117.27/117.32  cnf(4363,plain,
% 117.27/117.32     (~P4(a1,a1,a2,a1,a2,a6,a7,x43631)),
% 117.27/117.32     inference(rename_variables,[],[3962])).
% 117.27/117.32  cnf(4365,plain,
% 117.27/117.32     (P4(a8,a8,a7,a2,a2,a5,a6,a7)),
% 117.27/117.32     inference(scs_inference,[],[3573,4140,4156,3962,4341,4352,3140,3564,3592,3829,3875,4198,802,1517,2351,97,99,88,94,83,91,93,86,90,85,92,84,100,98,89,102])).
% 117.27/117.32  cnf(4384,plain,
% 117.27/117.32     (P4(a6,a1,a1,a8,a8,a1,a2,a6)),
% 117.27/117.32     inference(scs_inference,[],[2669,3637,4165,3864,3573,4140,4156,3962,4341,4352,4363,3140,3273,3480,3564,3592,3829,3875,4198,802,4226,1517,2351,69,60,58,97,99,88,94,83,91,93,86,90,85,92,84,100,98,89,102,87,112,107,104,111,103,204,109,108])).
% 117.27/117.32  cnf(4388,plain,
% 117.27/117.32     (P4(a1,a1,a1,a2,a8,a1,a7,a6)),
% 117.27/117.32     inference(scs_inference,[],[4275,97])).
% 117.27/117.32  cnf(4392,plain,
% 117.27/117.32     (P4(a8,a1,a8,a2,a5,a1,a7,a7)),
% 117.27/117.32     inference(scs_inference,[],[4026,4275,2467,97,88,99])).
% 117.27/117.32  cnf(4394,plain,
% 117.27/117.32     (~P4(a1,a7,a8,a1,a6,a1,a7,a2)),
% 117.27/117.32     inference(scs_inference,[],[4061,4026,4275,2467,97,88,99,94])).
% 117.27/117.32  cnf(4396,plain,
% 117.27/117.32     (~P4(a7,a8,a1,a8,a6,a7,a2,a7)),
% 117.27/117.32     inference(scs_inference,[],[4263,4061,4026,4275,2467,97,88,99,94,91])).
% 117.27/117.32  cnf(4399,plain,
% 117.27/117.32     (~P4(a7,a7,a2,a1,a7,a1,a7,x43991)),
% 117.27/117.32     inference(rename_variables,[],[4239])).
% 117.27/117.32  cnf(4405,plain,
% 117.27/117.32     (~P4(a7,a7,a1,a8,a7,a4,a2,a7)),
% 117.27/117.32     inference(scs_inference,[],[4263,4061,4239,4026,4099,4275,1658,2467,97,88,99,94,91,83,93,86,90])).
% 117.27/117.32  cnf(4408,plain,
% 117.27/117.32     (~P4(a7,a7,a2,a1,a7,a1,a7,x44081)),
% 117.27/117.32     inference(rename_variables,[],[4239])).
% 117.27/117.32  cnf(4410,plain,
% 117.27/117.32     (~P4(a7,a1,a8,a1,a6,a1,a7,a2)),
% 117.27/117.32     inference(scs_inference,[],[4263,4061,4239,4399,4026,4099,4275,1658,2467,97,88,99,94,91,83,93,86,90,85,92])).
% 117.27/117.32  cnf(4414,plain,
% 117.27/117.32     (P4(a1,a8,a1,a2,a1,a4,a6,a7)),
% 117.27/117.32     inference(scs_inference,[],[4263,4061,4239,4399,3648,3715,4026,4099,4275,1658,2467,97,88,99,94,91,83,93,86,90,85,92,84,100])).
% 117.27/117.32  cnf(4416,plain,
% 117.27/117.32     (P4(a7,a7,a8,a2,a4,a8,a6,a7)),
% 117.27/117.32     inference(scs_inference,[],[4263,4061,4239,4399,3648,3715,4026,4099,4275,1002,1658,2467,97,88,99,94,91,83,93,86,90,85,92,84,100,98])).
% 117.27/117.32  cnf(4418,plain,
% 117.27/117.32     (~P4(a7,a7,a8,a1,a7,a1,a7,a2)),
% 117.27/117.32     inference(scs_inference,[],[4263,4061,4239,4399,4408,3648,3715,4026,4099,4275,1002,1658,2467,97,88,99,94,91,83,93,86,90,85,92,84,100,98,89])).
% 117.27/117.32  cnf(4421,plain,
% 117.27/117.32     (~P4(a7,a8,a1,a8,a4,x44211,a2,a7)),
% 117.27/117.32     inference(scs_inference,[],[4263,4061,4162,4239,4399,4408,3648,3715,4026,4099,4275,1002,1658,2467,97,88,99,94,91,83,93,86,90,85,92,84,100,98,89,87])).
% 117.27/117.32  cnf(4427,plain,
% 117.27/117.32     (P4(a1,a7,a1,a8,a1,a8,a7,a6)),
% 117.27/117.32     inference(scs_inference,[],[3524,4263,3809,4061,4162,4239,4399,4408,3349,3648,3715,4026,4099,4275,1002,1658,2467,68,58,97,88,99,94,91,83,93,86,90,85,92,84,100,98,89,87,102,112,107])).
% 117.27/117.32  cnf(4434,plain,
% 117.27/117.32     (~P4(a7,a7,a1,a8,a3,a7,a2,a7)),
% 117.27/117.32     inference(scs_inference,[],[3524,4263,3809,4061,4162,4239,4399,4408,4245,3349,3441,3648,3715,4026,4099,4275,1002,1658,2467,36,68,59,58,97,88,99,94,91,83,93,86,90,85,92,84,100,98,89,87,102,112,107,104,109,111])).
% 117.27/117.32  cnf(4438,plain,
% 117.27/117.32     (P4(a8,a8,a8,a1,a5,a1,a2,a7)),
% 117.27/117.32     inference(scs_inference,[],[3524,4263,3544,3809,4061,4162,4239,4399,4408,4245,3349,3441,3648,3715,4026,4099,4275,1002,1658,2467,36,68,59,58,97,88,99,94,91,83,93,86,90,85,92,84,100,98,89,87,102,112,107,104,109,111,103,95])).
% 117.27/117.32  cnf(4445,plain,
% 117.27/117.32     (P4(a6,a7,a1,a2,a4,a8,a7,a6)),
% 117.27/117.32     inference(scs_inference,[],[915,97])).
% 117.27/117.32  cnf(4447,plain,
% 117.27/117.32     (P4(a1,a1,a1,a8,a1,a8,a7,a6)),
% 117.27/117.32     inference(scs_inference,[],[4427,915,97,99])).
% 117.27/117.32  cnf(4449,plain,
% 117.27/117.32     (~P4(a8,a7,a2,a1,a1,a7,a7,a7)),
% 117.27/117.32     inference(scs_inference,[],[4427,915,2206,97,99,88])).
% 117.27/117.32  cnf(4451,plain,
% 117.27/117.32     (~P4(a1,a1,a2,a1,a1,a7,a7,x44511)),
% 117.27/117.32     inference(scs_inference,[],[4288,4427,915,2206,97,99,88,94])).
% 117.27/117.32  cnf(4453,plain,
% 117.27/117.32     (~P4(a7,a1,a2,a1,a1,a8,a7,a7)),
% 117.27/117.32     inference(scs_inference,[],[4288,4427,915,2206,97,99,88,94,83])).
% 117.27/117.32  cnf(4454,plain,
% 117.27/117.32     (~P4(a7,a1,a2,a1,a1,a7,a7,x44541)),
% 117.27/117.32     inference(rename_variables,[],[4288])).
% 117.27/117.32  cnf(4462,plain,
% 117.27/117.32     (~P4(a7,a7,a1,a8,a6,a3,a2,a7)),
% 117.27/117.32     inference(scs_inference,[],[3136,4288,4108,4427,915,1455,2206,97,99,88,94,83,91,93,86,90])).
% 117.27/117.32  cnf(4469,plain,
% 117.27/117.32     (~P4(a8,a1,a2,a8,a1,a1,a7,a1)),
% 117.27/117.32     inference(scs_inference,[],[3136,4288,4296,2671,3917,4108,4427,915,1455,2206,97,99,88,94,83,91,93,86,90,85,92,84])).
% 117.27/117.32  cnf(4473,plain,
% 117.27/117.32     (P4(a7,a7,a8,a2,a8,a2,a6,a7)),
% 117.27/117.32     inference(scs_inference,[],[3136,4288,4296,2671,3917,4085,4108,4427,915,1023,1455,2206,97,99,88,94,83,91,93,86,90,85,92,84,100,98])).
% 117.27/117.32  cnf(4475,plain,
% 117.27/117.32     (~P4(a7,a1,a8,a1,a1,a7,a7,a2)),
% 117.27/117.32     inference(scs_inference,[],[3136,4288,4454,4296,2671,3917,4085,4108,4427,915,1023,1455,2206,97,99,88,94,83,91,93,86,90,85,92,84,100,98,89])).
% 117.27/117.32  cnf(4478,plain,
% 117.27/117.32     (~P4(a8,a7,a1,a8,a4,x44781,a2,a7)),
% 117.27/117.32     inference(scs_inference,[],[3136,4170,4288,4454,4296,2671,3917,4085,4108,4427,915,1023,1455,2206,97,99,88,94,83,91,93,86,90,85,92,84,100,98,89,87])).
% 117.27/117.32  cnf(4494,plain,
% 117.27/117.32     (~P4(a7,a1,a2,a7,a7,a8,a7,a7)),
% 117.27/117.32     inference(scs_inference,[],[4186,3154,3989,4267,3136,4257,4170,4288,4454,4296,2671,3445,3917,4085,4108,4427,915,1023,1455,2206,70,60,58,97,99,88,94,83,91,93,86,90,85,92,84,100,98,89,87,102,112,107,104,111,108,103,837])).
% 117.27/117.32  cnf(4496,plain,
% 117.27/117.32     (P4(a8,a1,a8,a2,a1,a8,a7,a7)),
% 117.27/117.32     inference(scs_inference,[],[4186,3154,3989,4267,3136,4257,4170,4288,4454,4296,2671,3445,3917,4085,4108,4427,915,1023,1455,2206,70,60,58,97,99,88,94,83,91,93,86,90,85,92,84,100,98,89,87,102,112,107,104,111,108,103,837,204])).
% 117.27/117.32  cnf(4498,plain,
% 117.27/117.32     (P4(a8,a1,a1,a2,a1,a4,a7,a6)),
% 117.27/117.32     inference(scs_inference,[],[4186,3154,3989,4267,3136,4257,4170,4288,4454,4296,2671,3445,3917,4085,4108,4427,915,1023,1455,2206,70,60,58,97,99,88,94,83,91,93,86,90,85,92,84,100,98,89,87,102,112,107,104,111,108,103,837,204,462])).
% 117.27/117.32  cnf(4504,plain,
% 117.27/117.32     (P4(a6,a7,a1,a2,a1,a8,a7,a6)),
% 117.27/117.32     inference(scs_inference,[],[888,97])).
% 117.27/117.32  cnf(4506,plain,
% 117.27/117.32     (~P4(a7,a7,a2,a1,a3,a7,a7,x45061)),
% 117.27/117.32     inference(scs_inference,[],[888,198,97,88])).
% 117.27/117.32  cnf(4508,plain,
% 117.27/117.32     (P4(a6,a1,a7,a2,a7,a8,a7,a2)),
% 117.27/117.32     inference(scs_inference,[],[888,2283,198,97,88,99])).
% 117.27/117.32  cnf(4518,plain,
% 117.27/117.32     (~P4(a7,a1,a2,a7,a1,a8,a7,a7)),
% 117.27/117.32     inference(scs_inference,[],[4453,4250,2364,4494,888,2283,198,97,88,99,94,91,83,93,86])).
% 117.27/117.32  cnf(4522,plain,
% 117.27/117.32     (~P4(a1,a1,a2,a1,a8,a7,a7,a1)),
% 117.27/117.32     inference(scs_inference,[],[4453,4250,4451,2364,4494,888,2283,1564,198,97,88,99,94,91,83,93,86,90,85])).
% 117.27/117.32  cnf(4523,plain,
% 117.27/117.32     (~P4(a1,a1,a2,a1,a1,a7,a7,x45231)),
% 117.27/117.32     inference(rename_variables,[],[4451])).
% 117.27/117.32  cnf(4525,plain,
% 117.27/117.32     (~P4(a7,a1,a2,a8,a4,a2,a7,a1)),
% 117.27/117.32     inference(scs_inference,[],[4453,4250,4451,2364,2727,4494,888,2283,1564,198,97,88,99,94,91,83,93,86,90,85,92])).
% 117.27/117.32  cnf(4527,plain,
% 117.27/117.32     (~P4(a1,a1,a2,a1,a1,a1,a7,x45271)),
% 117.27/117.32     inference(scs_inference,[],[4453,4250,4451,4523,2364,2727,4494,888,2283,1564,198,97,88,99,94,91,83,93,86,90,85,92,84])).
% 117.27/117.32  cnf(4531,plain,
% 117.27/117.32     (P4(a6,a1,a7,a8,a7,a8,a7,a2)),
% 117.27/117.32     inference(scs_inference,[],[4453,4250,4451,4523,2364,2727,4122,4494,888,2283,1564,198,97,88,99,94,91,83,93,86,90,85,92,84,100,96])).
% 117.27/117.32  cnf(4533,plain,
% 117.27/117.32     (P4(a8,a7,a8,a2,a5,a4,a6,a7)),
% 117.27/117.32     inference(scs_inference,[],[4453,4250,4451,4523,2364,2727,4122,4494,1048,888,2283,1564,198,97,88,99,94,91,83,93,86,90,85,92,84,100,96,98])).
% 117.27/117.32  cnf(4535,plain,
% 117.27/117.32     (~P4(a1,a1,a8,a1,a1,a7,a7,a2)),
% 117.27/117.32     inference(scs_inference,[],[4453,4250,4451,4523,2364,2727,4122,4494,1048,888,2283,1564,198,97,88,99,94,91,83,93,86,90,85,92,84,100,96,98,89])).
% 117.27/117.32  cnf(4536,plain,
% 117.27/117.32     (~P4(a1,a1,a2,a1,a1,a7,a7,x45361)),
% 117.27/117.32     inference(rename_variables,[],[4451])).
% 117.27/117.32  cnf(4542,plain,
% 117.27/117.32     (~P4(a1,a1,a2,a8,a3,a7,a7,a7)),
% 117.27/117.32     inference(scs_inference,[],[4083,4453,4250,4451,4523,2364,2613,2727,3683,4122,4494,1048,888,2283,1564,198,66,97,88,99,94,91,83,93,86,90,85,92,84,100,96,98,89,87,102,112])).
% 117.27/117.32  cnf(4548,plain,
% 117.27/117.32     (P4(a1,a1,a1,a2,a1,a8,a6,a2)),
% 117.27/117.32     inference(scs_inference,[],[4083,4016,4255,4453,4250,4451,4523,4536,2364,2613,2727,3683,4122,4494,1048,888,2283,1564,198,29,66,60,59,97,88,99,94,91,83,93,86,90,85,92,84,100,96,98,89,87,102,112,107,109,104])).
% 117.27/117.32  cnf(4558,plain,
% 117.27/117.32     (~P4(a1,a7,a8,a1,a6,a7,a7,a2)),
% 117.27/117.32     inference(scs_inference,[],[4438,4083,4016,4255,4300,4453,4250,4451,4523,4536,2364,2613,2727,3683,4122,4394,4494,1048,888,2283,1564,198,766,22,29,66,61,57,60,59,97,88,99,94,91,83,93,86,90,85,92,84,100,96,98,89,87,102,112,107,109,104,111,108,103,106,105])).
% 117.27/117.32  cnf(4562,plain,
% 117.27/117.32     (~P4(a7,a7,a2,a1,a6,a7,a7,x45621)),
% 117.27/117.32     inference(scs_inference,[],[4508,609,97,88])).
% 117.27/117.32  cnf(4564,plain,
% 117.27/117.32     (P4(a6,a1,a1,a2,a1,a8,a7,a6)),
% 117.27/117.32     inference(scs_inference,[],[4504,4508,609,97,88,99])).
% 117.27/117.32  cnf(4568,plain,
% 117.27/117.32     (~P4(a1,a8,a2,a1,a1,a7,a7,a7)),
% 117.27/117.32     inference(scs_inference,[],[4106,4273,4504,4508,609,97,88,99,94,91])).
% 117.27/117.32  cnf(4574,plain,
% 117.27/117.32     (~P4(a7,a7,a1,a8,a3,a2,a2,a7)),
% 117.27/117.32     inference(scs_inference,[],[4106,4216,4273,4504,4508,1452,609,97,88,99,94,91,83,93,90])).
% 117.27/117.32  cnf(4582,plain,
% 117.27/117.32     (P4(a7,a8,a8,a2,a8,a4,a6,a7)),
% 117.27/117.32     inference(scs_inference,[],[4106,3566,4216,4273,4290,4360,4504,4508,1452,609,97,88,99,94,91,83,93,90,85,92,84,100])).
% 117.27/117.32  cnf(4584,plain,
% 117.27/117.32     (P4(a1,a1,a1,a8,a1,a8,a6,a2)),
% 117.27/117.32     inference(scs_inference,[],[4106,3566,4216,4273,4290,4360,4504,4508,4548,1452,609,97,88,99,94,91,83,93,90,85,92,84,100,96])).
% 117.27/117.32  cnf(4586,plain,
% 117.27/117.32     (P4(a7,a7,a8,a2,a8,a1,a6,a7)),
% 117.27/117.32     inference(scs_inference,[],[4106,3566,4216,4273,4290,4360,4504,4508,4548,1079,1452,609,97,88,99,94,91,83,93,90,85,92,84,100,96,98])).
% 117.27/117.32  cnf(4588,plain,
% 117.27/117.32     (~P4(a7,a7,a8,a1,a3,a7,a7,a2)),
% 117.27/117.32     inference(scs_inference,[],[4106,3566,4216,4273,4290,4506,4360,4504,4508,4548,1079,1452,609,97,88,99,94,91,83,93,90,85,92,84,100,96,98,89])).
% 117.27/117.32  cnf(4589,plain,
% 117.27/117.32     (~P4(a7,a7,a2,a1,a3,a7,a7,x45891)),
% 117.27/117.32     inference(rename_variables,[],[4506])).
% 117.27/117.32  cnf(4591,plain,
% 117.27/117.32     (~P4(a7,a7,a2,a8,a3,a7,a7,a1)),
% 117.27/117.32     inference(scs_inference,[],[4106,3566,4216,4273,4290,4506,4589,4360,4504,4508,4548,1079,1452,609,97,88,99,94,91,83,93,90,85,92,84,100,96,98,89,87])).
% 117.27/117.32  cnf(4600,plain,
% 117.27/117.32     (P4(a8,a1,a8,a2,a1,a8,a7,a2)),
% 117.27/117.32     inference(scs_inference,[],[4496,3627,4106,3566,4216,4273,4290,4506,4589,3751,4360,4504,4508,4548,1079,1452,609,68,59,97,88,99,94,91,83,93,90,85,92,84,100,96,98,89,87,102,112,107,104])).
% 117.27/117.32  cnf(4604,plain,
% 117.27/117.32     (P4(a1,a1,a1,a2,a8,a1,a7,a7)),
% 117.27/117.32     inference(scs_inference,[],[4496,3627,4106,4388,3566,4216,4273,4290,4506,4589,3751,4360,4504,4508,4548,1079,1452,609,68,71,59,58,97,88,99,94,91,83,93,90,85,92,84,100,96,98,89,87,102,112,107,104,111,108])).
% 117.27/117.32  cnf(4606,plain,
% 117.27/117.32     (P4(a1,a1,a1,a2,a8,a1,a2,a6)),
% 117.27/117.32     inference(scs_inference,[],[4496,3627,4106,4388,3566,4216,4273,4290,4506,4589,3751,4360,4504,4508,4548,1079,1452,609,68,71,59,58,97,88,99,94,91,83,93,90,85,92,84,100,96,98,89,87,102,112,107,104,111,108,103])).
% 117.27/117.32  cnf(4608,plain,
% 117.27/117.32     (P4(a8,a1,a8,a1,a1,a8,a2,a7)),
% 117.27/117.32     inference(scs_inference,[],[4496,3627,4106,4388,3566,4216,4273,4290,4506,4589,3751,4360,4504,4508,4548,1079,1452,609,68,71,59,58,97,88,99,94,91,83,93,90,85,92,84,100,96,98,89,87,102,112,107,104,111,108,103,95])).
% 117.27/117.32  cnf(4617,plain,
% 117.27/117.32     (P4(a6,a1,a1,a8,a7,a8,a7,a2)),
% 117.27/117.32     inference(scs_inference,[],[4531,97])).
% 117.27/117.32  cnf(4619,plain,
% 117.27/117.32     (~P4(a7,a7,a2,a1,a5,a5,a7,x46191)),
% 117.27/117.32     inference(scs_inference,[],[4531,1261,97,88])).
% 117.27/117.32  cnf(4623,plain,
% 117.27/117.32     (~P4(a1,a1,a2,a7,a1,a8,a7,a7)),
% 117.27/117.32     inference(scs_inference,[],[4518,4531,3031,1261,97,88,99,94])).
% 117.27/117.32  cnf(4625,plain,
% 117.27/117.32     (~P4(a8,a8,a2,a1,a1,a1,a7,a1)),
% 117.27/117.32     inference(scs_inference,[],[3792,4518,4531,3031,1261,97,88,99,94,91])).
% 117.27/117.32  cnf(4629,plain,
% 117.27/117.32     (~P4(a8,a8,a2,a1,a1,a6,a7,a1)),
% 117.27/117.32     inference(scs_inference,[],[3792,4347,4518,4531,3031,1261,97,88,99,94,91,83,93])).
% 117.27/117.32  cnf(4631,plain,
% 117.27/117.32     (~P4(a7,a7,a1,a8,a5,a2,a2,a7)),
% 117.27/117.32     inference(scs_inference,[],[3792,4347,4518,4531,1157,3031,1261,97,88,99,94,91,83,93,90])).
% 117.27/117.32  cnf(4635,plain,
% 117.27/117.32     (~P4(a1,a1,a8,a1,a6,a7,a7,a2)),
% 117.27/117.32     inference(scs_inference,[],[3792,4347,4518,4531,4558,1157,3031,1261,97,88,99,94,91,83,93,90,85,92])).
% 117.27/117.32  cnf(4637,plain,
% 117.27/117.32     (~P4(a7,a7,a2,a1,a6,a1,a7,x46371)),
% 117.27/117.32     inference(scs_inference,[],[3792,4347,4518,4531,4558,4562,1157,3031,1261,97,88,99,94,91,83,93,90,85,92,84])).
% 117.27/117.32  cnf(4639,plain,
% 117.27/117.32     (P4(a7,a8,a8,a2,a8,a2,a6,a7)),
% 117.27/117.32     inference(scs_inference,[],[3792,4347,4518,4531,4558,4562,4473,1157,3031,1261,97,88,99,94,91,83,93,90,85,92,84,100])).
% 117.27/117.32  cnf(4643,plain,
% 117.27/117.32     (P4(a8,a1,a8,a8,a1,a8,a7,a2)),
% 117.27/117.32     inference(scs_inference,[],[3792,4347,4518,4531,4558,4562,4473,4600,4606,1157,3031,1261,97,88,99,94,91,83,93,90,85,92,84,100,95,96])).
% 117.27/117.32  cnf(4645,plain,
% 117.27/117.32     (P4(a8,a7,a8,a2,a8,a1,a6,a7)),
% 117.27/117.32     inference(scs_inference,[],[3792,4347,4518,4531,4558,4562,4473,4600,4606,1232,1157,3031,1261,97,88,99,94,91,83,93,90,85,92,84,100,95,96,98])).
% 117.27/117.32  cnf(4650,plain,
% 117.27/117.32     (~P4(a8,a8,a2,a8,a1,a7,a7,a1)),
% 117.27/117.32     inference(scs_inference,[],[3792,3976,4347,4518,4531,4558,4527,4562,4473,4600,4606,1232,1157,3031,1261,97,88,99,94,91,83,93,90,85,92,84,100,95,96,98,89,87])).
% 117.27/117.32  cnf(4658,plain,
% 117.27/117.32     (P4(a6,a1,a7,a8,a7,a8,a7,a7)),
% 117.27/117.32     inference(scs_inference,[],[4498,4310,3792,3976,4347,4518,4531,4558,4527,4562,3769,4473,4600,4606,1232,1157,3031,1261,61,57,60,97,88,99,94,91,83,93,90,85,92,84,100,95,96,98,89,87,102,112,107,104])).
% 117.27/117.32  cnf(4662,plain,
% 117.27/117.32     (P4(a1,a8,a1,a1,a8,a1,a7,a7)),
% 117.27/117.32     inference(scs_inference,[],[4498,4310,3792,3976,4347,4518,4434,4531,4558,4527,4562,3769,3816,4473,4600,4606,1232,1157,3031,1261,61,57,60,58,97,88,99,94,91,83,93,90,85,92,84,100,95,96,98,89,87,102,112,107,104,111,108])).
% 117.27/117.32  cnf(4668,plain,
% 117.27/117.32     (~P4(a7,a7,a8,a1,a1,a7,a7,a2)),
% 117.27/117.32     inference(scs_inference,[],[4498,4310,3792,3976,4347,4518,4434,4531,4558,4527,4562,3327,3769,3816,4473,4600,4606,4418,1232,1157,3031,1261,29,61,57,60,58,97,88,99,94,91,83,93,90,85,92,84,100,95,96,98,89,87,102,112,107,104,111,108,105,103,86])).
% 117.27/117.32  cnf(4672,plain,
% 117.27/117.32     (P4(a6,a1,a7,a8,a1,a8,a7,a7)),
% 117.27/117.32     inference(scs_inference,[],[4498,4310,3792,3976,4347,4518,4434,4531,4558,4527,4562,3327,3769,3816,4473,4600,4606,4418,1232,1157,3031,1261,989,29,8,61,57,60,58,97,88,99,94,91,83,93,90,85,92,84,100,95,96,98,89,87,102,112,107,104,111,108,105,103,86,110,109])).
% 117.27/117.32  cnf(4678,plain,
% 117.27/117.32     (~P4(a7,a7,a2,a1,a5,a4,a7,x46781)),
% 117.27/117.32     inference(scs_inference,[],[4658,1264,97,88])).
% 117.27/117.32  cnf(4680,plain,
% 117.27/117.32     (P4(a6,a1,a7,a2,a5,a4,a7,a6)),
% 117.27/117.32     inference(scs_inference,[],[4658,1264,2224,97,88,99])).
% 117.27/117.32  cnf(4684,plain,
% 117.27/117.32     (~P4(a8,a8,a2,a1,a1,a4,a7,a1)),
% 117.27/117.32     inference(scs_inference,[],[4036,3465,4658,1264,2224,97,88,99,94,91])).
% 117.27/117.32  cnf(4690,plain,
% 117.27/117.32     (~P4(a7,a7,a1,a7,a7,x46901,a2,x46902)),
% 117.27/117.32     inference(scs_inference,[],[4036,2682,3465,4469,4658,1264,2224,1130,97,88,99,94,91,83,93,90])).
% 117.27/117.32  cnf(4694,plain,
% 117.27/117.32     (~P4(a7,a1,a2,a1,a5,a5,a7,x46941)),
% 117.27/117.32     inference(scs_inference,[],[4036,2682,3465,4469,4619,4658,1264,2224,1130,97,88,99,94,91,83,93,90,85,92])).
% 117.27/117.32  cnf(4698,plain,
% 117.27/117.32     (P4(a7,a8,a8,a2,a8,a1,a6,a7)),
% 117.27/117.32     inference(scs_inference,[],[4036,2682,3465,4469,4619,4160,4586,4658,1264,2224,1130,97,88,99,94,91,83,93,90,85,92,84,100])).
% 117.27/117.32  cnf(4702,plain,
% 117.27/117.32     (~P4(a7,a7,a8,a1,a5,a5,a7,a2)),
% 117.27/117.32     inference(scs_inference,[],[4036,2682,3465,4469,4619,4160,4586,4658,1264,2224,1130,97,88,99,94,91,83,93,90,85,92,84,100,98,89])).
% 117.27/117.32  cnf(4705,plain,
% 117.27/117.32     (~P4(a8,a1,a2,a8,a1,a4,a7,a1)),
% 117.27/117.32     inference(scs_inference,[],[4036,2682,3465,4469,4619,4160,4586,4658,1264,2224,1130,97,88,99,94,91,83,93,90,85,92,84,100,98,89,87])).
% 117.27/117.32  cnf(4709,plain,
% 117.27/117.32     (P4(a8,a8,a8,a2,a2,a7,a6,a7)),
% 117.27/117.32     inference(scs_inference,[],[3871,4036,2682,3465,4469,4619,4160,4384,4586,4658,1264,2224,1130,72,97,88,99,94,91,83,93,90,85,92,84,100,98,89,87,102,112])).
% 117.27/117.32  cnf(4717,plain,
% 117.27/117.32     (P4(a8,a8,a8,a2,a6,a3,a6,a7)),
% 117.27/117.32     inference(scs_inference,[],[3871,4036,2682,3747,3465,3727,4469,4608,4619,4160,4384,4586,4658,1264,2224,1130,43,69,72,57,60,97,88,99,94,91,83,93,90,85,92,84,100,98,89,87,102,112,107,109,104,111])).
% 117.27/117.32  cnf(4719,plain,
% 117.27/117.32     (~P4(a1,a1,a2,a7,a1,a7,a7,a7)),
% 117.27/117.32     inference(scs_inference,[],[3871,4036,2682,3747,3465,3727,4469,4608,4619,4160,4384,4586,4623,4658,1264,2224,1130,43,1,69,72,57,60,97,88,99,94,91,83,93,90,85,92,84,100,98,89,87,102,112,107,109,104,111,106])).
% 117.27/117.32  cnf(4723,plain,
% 117.27/117.32     (P4(a6,a1,a8,a8,a8,a1,a7,a7)),
% 117.27/117.32     inference(scs_inference,[],[3871,4036,2682,3747,3465,3600,3727,4469,4608,4619,4160,4384,4586,4623,4658,1264,2224,1130,43,1,69,72,57,60,97,88,99,94,91,83,93,90,85,92,84,100,98,89,87,102,112,107,109,104,111,106,103,575])).
% 117.27/117.32  cnf(4736,plain,
% 117.27/117.32     (P4(a8,a7,a8,a2,a4,a8,a6,a7)),
% 117.27/117.32     inference(scs_inference,[],[4173,4690,4416,2588,2827,98,87,89,97,102])).
% 117.27/117.32  cnf(4738,plain,
% 117.27/117.32     (P4(a6,a1,a7,a1,a1,a4,a7,a6)),
% 117.27/117.32     inference(scs_inference,[],[4173,4690,4416,2588,2827,2405,98,87,89,97,102,99])).
% 117.27/117.32  cnf(4740,plain,
% 117.27/117.32     (~P4(a7,a7,a2,a1,a3,a5,a7,x47401)),
% 117.27/117.32     inference(scs_inference,[],[4173,4690,4416,2588,2827,1411,2405,98,87,89,97,102,99,88])).
% 117.27/117.32  cnf(4742,plain,
% 117.27/117.32     (P4(a7,a7,a8,a2,a1,a5,a6,a7)),
% 117.27/117.32     inference(scs_inference,[],[4173,4690,4416,2588,2827,1411,2405,98,87,89,97,102,99,88,417])).
% 117.27/117.32  cnf(4744,plain,
% 117.27/117.32     (~P4(a1,a7,a8,a1,a1,a7,a7,a2)),
% 117.27/117.32     inference(scs_inference,[],[4173,4668,4690,4416,2588,2827,1411,2405,98,87,89,97,102,99,88,417,94])).
% 117.27/117.32  cnf(4752,plain,
% 117.27/117.32     (~P4(a7,a7,a1,a7,a5,x47521,a2,x47522)),
% 117.27/117.32     inference(scs_inference,[],[4173,2780,4668,4625,4690,4416,2588,2827,1411,2405,1113,98,87,89,97,102,99,88,417,94,91,83,93,90])).
% 117.27/117.32  cnf(4764,plain,
% 117.27/117.32     (~P4(a8,a1,a2,a1,a1,a3,a7,a1)),
% 117.27/117.32     inference(scs_inference,[],[4173,2780,4668,4001,4625,4690,4637,4180,4416,1051,2588,2827,1411,2405,1113,68,59,98,87,89,97,102,99,88,417,94,91,83,93,90,85,92,84,100,103,112])).
% 117.27/117.32  cnf(4766,plain,
% 117.27/117.32     (P4(a8,a8,a8,a2,a1,a4,a2,a7)),
% 117.27/117.32     inference(scs_inference,[],[4173,3956,2780,4668,4001,4625,4690,4637,4180,4416,1051,2588,2827,1411,2405,1113,68,59,98,87,89,97,102,99,88,417,94,91,83,93,90,85,92,84,100,103,112,107])).
% 117.27/117.32  cnf(4768,plain,
% 117.27/117.32     (P4(a8,a8,a8,a2,a1,a3,a6,a7)),
% 117.27/117.32     inference(scs_inference,[],[4173,3956,2780,4668,4001,4625,4690,4637,4180,4416,4717,1051,2588,2827,1411,2405,1113,36,68,59,98,87,89,97,102,99,88,417,94,91,83,93,90,85,92,84,100,103,112,107,109])).
% 117.27/117.32  cnf(4770,plain,
% 117.27/117.32     (P4(a6,a1,a8,a8,a1,a8,a7,a6)),
% 117.27/117.32     inference(scs_inference,[],[4173,3956,2780,4668,4001,3838,4625,4690,4637,4180,4416,4717,1051,2588,2827,1411,2405,1113,36,68,59,60,98,87,89,97,102,99,88,417,94,91,83,93,90,85,92,84,100,103,112,107,109,104])).
% 117.27/117.32  cnf(4774,plain,
% 117.27/117.32     (P4(a8,a8,a8,a2,a2,a8,a6,a7)),
% 117.27/117.32     inference(scs_inference,[],[16,4173,3956,2780,4668,4001,2967,3838,4625,4690,4637,4180,4416,4709,4717,1051,2588,2827,1411,2405,1113,36,62,68,59,60,98,87,89,97,102,99,88,417,94,91,83,93,90,85,92,84,100,103,112,107,109,104,111,106])).
% 117.27/117.32  cnf(4778,plain,
% 117.27/117.32     (~P4(a7,a1,a2,a1,a6,a7,a7,x47781)),
% 117.27/117.32     inference(scs_inference,[],[16,4173,3956,2780,4668,4001,2967,3838,4625,4690,4637,3717,4180,4416,4709,4717,1051,2588,2827,1411,2405,1113,36,22,62,68,59,60,98,87,89,97,102,99,88,417,94,91,83,93,90,85,92,84,100,103,112,107,109,104,111,106,108,105])).
% 117.27/117.32  cnf(4780,plain,
% 117.27/117.32     (P4(a1,a1,a8,a1,a4,a1,a2,a7)),
% 117.27/117.32     inference(scs_inference,[],[16,4173,3956,2780,4668,4001,2967,3838,4625,4690,4637,3717,4180,4416,4709,4717,1051,2588,2827,1411,2405,1113,36,22,62,68,59,60,98,87,89,97,102,99,88,417,94,91,83,93,90,85,92,84,100,103,112,107,109,104,111,106,108,105,95])).
% 117.27/117.32  cnf(4782,plain,
% 117.27/117.32     (P4(a8,a1,a1,a8,a8,a4,a7,a2)),
% 117.27/117.32     inference(scs_inference,[],[16,4173,3956,2780,4668,4001,2967,3838,4625,4690,4637,3717,4180,4416,4709,4717,1051,2588,2827,1411,2405,1113,36,22,62,68,59,60,98,87,89,97,102,99,88,417,94,91,83,93,90,85,92,84,100,103,112,107,109,104,111,106,108,105,95,96])).
% 117.27/117.32  cnf(4784,plain,
% 117.27/117.32     (P4(a7,a7,a8,a2,a6,a4,a6,a7)),
% 117.27/117.32     inference(scs_inference,[],[2355,98])).
% 117.27/117.32  cnf(4791,plain,
% 117.27/117.32     (P4(a6,a1,a1,a1,a1,a4,a7,a6)),
% 117.27/117.32     inference(scs_inference,[],[4629,4752,4738,2355,98,89,87,97])).
% 117.27/117.32  cnf(4795,plain,
% 117.27/117.32     (P4(a8,a1,a7,a8,a1,a8,a7,a6)),
% 117.27/117.32     inference(scs_inference,[],[4629,4752,4445,4738,2355,2798,98,89,87,97,102,99])).
% 117.27/117.32  cnf(4797,plain,
% 117.27/117.32     (~P4(a7,a7,a2,a1,a3,a4,a7,x47971)),
% 117.27/117.32     inference(scs_inference,[],[4629,4752,4445,4738,2355,1417,2798,98,89,87,97,102,99,88])).
% 117.27/117.32  cnf(4803,plain,
% 117.27/117.32     (~P4(a7,a7,a2,a1,a5,a8,a7,a4)),
% 117.27/117.32     inference(scs_inference,[],[2624,4410,4629,4752,4678,4445,4738,2355,1417,2798,98,89,87,97,102,99,88,94,91,83])).
% 117.27/117.32  cnf(4804,plain,
% 117.27/117.32     (~P4(a7,a7,a2,a1,a5,a4,a7,x48041)),
% 117.27/117.32     inference(rename_variables,[],[4678])).
% 117.27/117.32  cnf(4808,plain,
% 117.27/117.32     (~P4(a7,a7,a1,a8,a7,a7,a2,a7)),
% 117.27/117.32     inference(scs_inference,[],[2624,4410,4629,4752,4678,4445,4738,2355,1417,2798,1436,98,89,87,97,102,99,88,94,91,83,93,90])).
% 117.27/117.32  cnf(4812,plain,
% 117.27/117.32     (~P4(a7,a1,a2,a1,a5,a4,a7,x48121)),
% 117.27/117.32     inference(scs_inference,[],[2624,4410,4629,4752,4678,4804,4445,4738,2355,1417,2798,1436,98,89,87,97,102,99,88,94,91,83,93,90,85,92])).
% 117.27/117.32  cnf(4816,plain,
% 117.27/117.32     (P4(a6,a8,a1,a2,a8,a1,a2,a7)),
% 117.27/117.32     inference(scs_inference,[],[2624,4410,4629,4752,4678,4804,4196,4445,4738,2520,2355,1417,2798,1436,98,89,87,97,102,99,88,94,91,83,93,90,85,92,84,100])).
% 117.27/117.32  cnf(4818,plain,
% 117.27/117.32     (P4(a8,a8,a8,a1,a1,a4,a2,a7)),
% 117.27/117.32     inference(scs_inference,[],[2624,4410,4629,4752,4678,4804,4196,4445,4738,4766,2520,2355,1417,2798,1436,98,89,87,97,102,99,88,94,91,83,93,90,85,92,84,100,95])).
% 117.27/117.32  cnf(4830,plain,
% 117.27/117.32     (P4(a6,a1,a1,a8,a5,a8,a7,a2)),
% 117.27/117.32     inference(scs_inference,[],[4617,4584,4643,2624,3941,4158,3316,4410,4629,4752,4678,4804,4196,4445,4738,4766,2520,2355,1417,2798,1436,50,66,70,57,60,98,89,87,97,102,99,88,94,91,83,93,90,85,92,84,100,95,103,112,107,109,104,111])).
% 117.27/117.32  cnf(4832,plain,
% 117.27/117.32     (P4(a6,a1,a8,a8,a8,a1,a7,a6)),
% 117.27/117.32     inference(scs_inference,[],[4617,4584,4643,2624,3941,4158,4723,3316,4410,4629,4752,4678,4804,4196,4445,4738,4766,2520,2355,1417,2798,1436,50,66,70,57,60,98,89,87,97,102,99,88,94,91,83,93,90,85,92,84,100,95,103,112,107,109,104,111,108])).
% 117.27/117.32  cnf(4842,plain,
% 117.27/117.32     (P4(a6,a7,a1,a2,a1,a8,a7,a7)),
% 117.27/117.32     inference(scs_inference,[],[997,2291,98,97])).
% 117.27/117.32  cnf(4844,plain,
% 117.27/117.32     (~P4(a7,a1,a8,a1,a5,a5,a7,a2)),
% 117.27/117.32     inference(scs_inference,[],[4694,997,2291,98,97,89])).
% 117.27/117.32  cnf(4845,plain,
% 117.27/117.32     (~P4(a7,a1,a2,a1,a5,a5,a7,x48451)),
% 117.27/117.32     inference(rename_variables,[],[4694])).
% 117.27/117.32  cnf(4849,plain,
% 117.27/117.32     (~P4(a1,a1,a2,a8,a1,a7,a7,a7)),
% 117.27/117.32     inference(scs_inference,[],[4719,4694,4680,997,2291,98,97,89,102,87])).
% 117.27/117.32  cnf(4851,plain,
% 117.27/117.32     (P4(a1,a1,a7,a8,a8,a1,a7,a2)),
% 117.27/117.32     inference(scs_inference,[],[4719,4694,4680,997,2291,2882,98,97,89,102,87,99])).
% 117.27/117.32  cnf(4853,plain,
% 117.27/117.32     (~P4(a7,a7,a2,a1,a5,a2,a7,x48531)),
% 117.27/117.32     inference(scs_inference,[],[4719,4694,4680,997,2291,1421,2882,98,97,89,102,87,99,88])).
% 117.27/117.32  cnf(4855,plain,
% 117.27/117.32     (~P4(a1,a1,a2,a1,a8,a7,a7,a7)),
% 117.27/117.32     inference(scs_inference,[],[4114,4719,4694,4680,997,2291,1421,2882,98,97,89,102,87,99,88,94])).
% 117.27/117.32  cnf(4866,plain,
% 117.27/117.32     (~P4(a7,a7,a1,a8,a7,a3,a2,a7)),
% 117.27/117.32     inference(scs_inference,[],[2745,4114,4719,4405,4694,4845,4680,997,2291,1421,2882,1279,98,97,89,102,87,99,88,94,91,83,93,85,90])).
% 117.27/117.32  cnf(4868,plain,
% 117.27/117.32     (~P4(a7,a1,a2,a1,a3,a5,a7,x48681)),
% 117.27/117.32     inference(scs_inference,[],[2745,4114,4719,4405,4694,4845,4740,4680,997,2291,1421,2882,1279,98,97,89,102,87,99,88,94,91,83,93,85,90,92])).
% 117.27/117.32  cnf(4876,plain,
% 117.27/117.32     (P4(a8,a7,a8,a2,a2,a1,a7,a7)),
% 117.27/117.32     inference(scs_inference,[],[2745,4114,4719,4405,4574,4694,4845,4740,3508,4680,4784,4816,997,2291,1421,2882,1279,58,98,97,89,102,87,99,88,94,91,83,93,85,90,92,84,100,95,103])).
% 117.27/117.32  cnf(4878,plain,
% 117.27/117.32     (~P4(a7,a7,a1,a8,a6,a2,a2,a7)),
% 117.27/117.32     inference(scs_inference,[],[2745,2900,4114,4719,4405,4574,4694,4845,4740,3508,4680,4784,4816,997,2291,1421,2882,1279,62,58,98,97,89,102,87,99,88,94,91,83,93,85,90,92,84,100,95,103,112])).
% 117.27/117.32  cnf(4880,plain,
% 117.27/117.32     (P4(a6,a1,a1,a2,a1,a8,a2,a6)),
% 117.27/117.32     inference(scs_inference,[],[2745,4564,2900,4114,4719,4405,4574,4694,4845,4740,3508,4680,4784,4816,997,2291,1421,2882,1279,62,59,58,98,97,89,102,87,99,88,94,91,83,93,85,90,92,84,100,95,103,112,107])).
% 117.27/117.32  cnf(4884,plain,
% 117.27/117.32     (~P4(a7,a1,a8,a1,a3,a7,a7,a2)),
% 117.27/117.32     inference(scs_inference,[],[2745,4564,2900,4114,4354,4719,3513,4405,4574,4694,4845,4740,3508,4680,4784,4816,997,2291,1421,2882,1279,62,68,59,58,98,97,89,102,87,99,88,94,91,83,93,85,90,92,84,100,95,103,112,107,104,111])).
% 117.27/117.32  cnf(4888,plain,
% 117.27/117.32     (P4(a8,a8,a8,a8,a4,a8,a6,a2)),
% 117.27/117.32     inference(scs_inference,[],[2745,4564,4782,2900,4114,4354,4719,3513,4405,4574,4694,4845,4740,3508,4680,4784,4816,997,2291,1421,2882,1279,62,68,57,59,58,98,97,89,102,87,99,88,94,91,83,93,85,90,92,84,100,95,103,112,107,104,111,108,96])).
% 117.27/117.32  cnf(4896,plain,
% 117.27/117.32     (P4(a1,a1,a1,a8,a8,a1,a7,a2)),
% 117.27/117.32     inference(scs_inference,[],[4851,1057,98,97])).
% 117.27/117.32  cnf(4901,plain,
% 117.27/117.32     (~P4(a7,a7,a2,a1,a3,a4,a7,x49011)),
% 117.27/117.32     inference(rename_variables,[],[4797])).
% 117.27/117.32  cnf(4903,plain,
% 117.27/117.32     (~P4(a7,a1,a2,a8,a6,a7,a7,a1)),
% 117.27/117.32     inference(scs_inference,[],[4778,4797,4770,4851,1057,98,97,102,89,87])).
% 117.27/117.32  cnf(4904,plain,
% 117.27/117.32     (~P4(a7,a1,a2,a1,a6,a7,a7,x49041)),
% 117.27/117.32     inference(rename_variables,[],[4778])).
% 117.27/117.32  cnf(4906,plain,
% 117.27/117.32     (P4(a8,a1,a8,a2,a2,a1,a7,a7)),
% 117.27/117.32     inference(scs_inference,[],[4778,4797,4770,4851,4876,1057,98,97,102,89,87,99])).
% 117.27/117.32  cnf(4908,plain,
% 117.27/117.32     (~P4(a7,a7,a2,a1,a4,a4,a7,x49081)),
% 117.27/117.32     inference(scs_inference,[],[4778,4797,4770,4851,4876,1057,1429,98,97,102,89,87,99,88])).
% 117.27/117.32  cnf(4910,plain,
% 117.27/117.32     (~P4(a1,a1,a2,a1,a6,a7,a7,x49101)),
% 117.27/117.32     inference(scs_inference,[],[4778,4904,4797,4770,4851,4876,1057,1429,98,97,102,89,87,99,88,94])).
% 117.27/117.32  cnf(4914,plain,
% 117.27/117.32     (~P4(a7,a1,a2,a1,a6,a8,a7,a7)),
% 117.27/117.32     inference(scs_inference,[],[3199,4778,4904,4797,4770,4851,4876,1057,1429,98,97,102,89,87,99,88,94,91,83])).
% 117.27/117.32  cnf(4915,plain,
% 117.27/117.32     (~P4(a7,a1,a2,a1,a6,a7,a7,x49151)),
% 117.27/117.32     inference(rename_variables,[],[4778])).
% 117.27/117.32  cnf(4919,plain,
% 117.27/117.32     (~P4(a7,a1,a2,a1,a8,a7,a7,a6)),
% 117.27/117.32     inference(scs_inference,[],[3199,4778,4904,4915,4797,4770,4851,4876,1057,1429,98,97,102,89,87,99,88,94,91,83,93,85])).
% 117.27/117.32  cnf(4922,plain,
% 117.27/117.32     (~P4(a7,a7,a1,a7,a2,x49221,a2,x49222)),
% 117.27/117.32     inference(scs_inference,[],[3199,4778,4904,4915,4797,4770,4851,4876,1057,1429,1108,98,97,102,89,87,99,88,94,91,83,93,85,90])).
% 117.27/117.32  cnf(4924,plain,
% 117.27/117.32     (~P4(a7,a1,a2,a1,a3,a4,a7,x49241)),
% 117.27/117.32     inference(scs_inference,[],[3199,4778,4904,4915,4797,4901,4770,4851,4876,1057,1429,1108,98,97,102,89,87,99,88,94,91,83,93,85,90,92])).
% 117.27/117.32  cnf(4928,plain,
% 117.27/117.32     (P4(a6,a8,a1,a2,a1,a8,a7,a7)),
% 117.27/117.32     inference(scs_inference,[],[3199,4631,4778,4904,4915,4797,4901,4770,4842,4851,4876,1057,1429,1108,98,97,102,89,87,99,88,94,91,83,93,85,90,92,84,100])).
% 117.27/117.32  cnf(4930,plain,
% 117.27/117.32     (P4(a6,a1,a1,a1,a1,a8,a2,a6)),
% 117.27/117.32     inference(scs_inference,[],[3199,4631,4778,4904,4915,4797,4901,4770,4842,4851,4876,4880,1057,1429,1108,98,97,102,89,87,99,88,94,91,83,93,85,90,92,84,100,95])).
% 117.27/117.32  cnf(4955,plain,
% 117.27/117.32     (~P4(a7,a7,a1,a7,a2,x49551,a2,x49552)),
% 117.27/117.32     inference(rename_variables,[],[4922])).
% 117.27/117.32  cnf(4960,plain,
% 117.27/117.32     (~P4(a7,a7,a1,a7,a2,x49601,a2,x49602)),
% 117.27/117.32     inference(rename_variables,[],[4922])).
% 117.27/117.32  cnf(4962,plain,
% 117.27/117.32     (~P4(a7,a7,a2,a1,a4,a5,a7,x49621)),
% 117.27/117.32     inference(scs_inference,[],[4922,4955,4791,2287,2807,1432,98,97,89,102,87,88])).
% 117.27/117.32  cnf(4964,plain,
% 117.27/117.32     (~P4(a1,a1,a2,a1,a5,a4,a7,x49641)),
% 117.27/117.32     inference(scs_inference,[],[4922,4955,4812,4791,2287,2807,1432,98,97,89,102,87,88,94])).
% 117.27/117.32  cnf(4966,plain,
% 117.27/117.32     (P4(a8,a1,a7,a2,a5,a8,a7,a6)),
% 117.27/117.32     inference(scs_inference,[],[4922,4955,4812,4791,2287,2807,1432,2980,98,97,89,102,87,88,94,99])).
% 117.27/117.32  cnf(4975,plain,
% 117.27/117.32     (~P4(a7,a7,a1,a7,a3,x49751,a2,x49752)),
% 117.27/117.32     inference(scs_inference,[],[3257,4922,4955,4812,4791,2287,2807,1432,2980,147,98,97,89,102,87,88,94,99,91,83,93,90])).
% 117.27/117.32  cnf(4980,plain,
% 117.27/117.32     (~P4(a7,a1,a2,a1,a5,a2,a7,x49801)),
% 117.27/117.32     inference(scs_inference,[],[3257,4922,4955,4960,4812,4853,4791,2287,2807,1432,2980,147,98,97,89,102,87,88,94,99,91,83,93,90,85,92])).
% 117.27/117.32  cnf(4984,plain,
% 117.27/117.32     (P4(a7,a8,a7,a2,a7,a1,a2,a7)),
% 117.27/117.32     inference(scs_inference,[],[3257,4922,4955,4960,4812,4853,4910,4791,2287,2807,1432,2980,147,98,97,89,102,87,88,94,99,91,83,93,90,85,92,84,100])).
% 117.27/117.32  cnf(4986,plain,
% 117.27/117.32     (P4(a7,a7,a8,a1,a7,a1,a2,a7)),
% 117.27/117.32     inference(scs_inference,[],[3257,4922,4955,4960,4812,4853,4910,4791,2287,2807,1432,2980,147,98,97,89,102,87,88,94,99,91,83,93,90,85,92,84,100,95])).
% 117.27/117.32  cnf(4988,plain,
% 117.27/117.32     (P4(a8,a7,a8,a2,a8,a1,a7,a7)),
% 117.27/117.32     inference(scs_inference,[],[3257,4645,4922,4955,4960,4812,4853,4910,4791,2287,2807,1432,2980,147,58,98,97,89,102,87,88,94,99,91,83,93,90,85,92,84,100,95,103])).
% 117.27/117.32  cnf(4992,plain,
% 117.27/117.32     (P4(a7,a7,a8,a2,a1,a5,a7,a7)),
% 117.27/117.32     inference(scs_inference,[],[4742,3257,3612,4645,4922,4955,4960,4812,4853,4910,4791,2287,2807,1432,2980,147,61,58,98,97,89,102,87,88,94,99,91,83,93,90,85,92,84,100,95,103,112,107])).
% 117.27/117.32  cnf(4994,plain,
% 117.27/117.32     (P4(a8,a8,a8,a8,a4,a8,a6,a7)),
% 117.27/117.32     inference(scs_inference,[],[4742,3257,3612,4888,4645,4922,4955,4960,4812,4853,4910,4791,2287,2807,1432,2980,147,61,57,58,98,97,89,102,87,88,94,99,91,83,93,90,85,92,84,100,95,103,112,107,104])).
% 117.27/117.32  cnf(4996,plain,
% 117.27/117.32     (~P4(a1,a1,a8,a1,a3,a7,a7,a2)),
% 117.27/117.32     inference(scs_inference,[],[4742,3257,3612,4635,4888,4645,4922,4955,4960,4812,4853,4910,4791,2287,2807,1432,2980,147,61,68,57,58,98,97,89,102,87,88,94,99,91,83,93,90,85,92,84,100,95,103,112,107,104,111])).
% 117.27/117.32  cnf(4998,plain,
% 117.27/117.32     (P4(a7,a7,a8,a2,a8,a1,a2,a7)),
% 117.27/117.32     inference(scs_inference,[],[4742,3257,3612,4635,4888,4645,4922,4955,4960,4812,4853,4910,4791,2287,2807,1432,2980,147,61,68,57,58,98,97,89,102,87,88,94,99,91,83,93,90,85,92,84,100,95,103,112,107,104,111,289])).
% 117.27/117.32  cnf(5000,plain,
% 117.27/117.32     (P4(a1,a7,a8,a2,a1,a5,a7,a7)),
% 117.27/117.32     inference(scs_inference,[],[4742,3257,3612,4635,4888,4645,4922,4955,4960,4812,4853,4910,4791,2287,2807,1432,2980,147,61,68,57,58,98,97,89,102,87,88,94,99,91,83,93,90,85,92,84,100,95,103,112,107,104,111,289,101])).
% 117.27/117.32  cnf(5006,plain,
% 117.27/117.32     (P4(a7,a8,a7,a2,a8,a1,a2,a7)),
% 117.27/117.32     inference(scs_inference,[],[4984,289])).
% 117.27/117.32  cnf(5008,plain,
% 117.27/117.32     (P4(a7,a8,a8,a2,a7,a1,a2,a7)),
% 117.27/117.32     inference(scs_inference,[],[4984,289,98])).
% 117.27/117.32  cnf(5010,plain,
% 117.27/117.32     (P4(a1,a8,a1,a2,a1,a4,a7,a7)),
% 117.27/117.32     inference(scs_inference,[],[4984,3219,289,98,97])).
% 117.27/117.32  cnf(5013,plain,
% 117.27/117.32     (~P4(a7,a7,a1,a7,a3,x50131,a2,x50132)),
% 117.27/117.32     inference(rename_variables,[],[4975])).
% 117.27/117.32  cnf(5017,plain,
% 117.27/117.32     (~P4(a7,a7,a1,a8,a3,x50171,a2,a7)),
% 117.27/117.32     inference(scs_inference,[],[4930,4975,5013,4984,3219,289,98,97,89,102,87])).
% 117.27/117.32  cnf(5018,plain,
% 117.27/117.32     (~P4(a7,a7,a1,a7,a3,x50181,a2,x50182)),
% 117.27/117.32     inference(rename_variables,[],[4975])).
% 117.27/117.32  cnf(5020,plain,
% 117.27/117.32     (~P4(a1,a1,a2,a1,a3,a5,a7,x50201)),
% 117.27/117.32     inference(scs_inference,[],[4930,4975,5013,4868,4984,3219,289,98,97,89,102,87,94])).
% 117.27/117.32  cnf(5022,plain,
% 117.27/117.32     (~P4(a7,a7,a2,a1,a2,a3,a7,x50221)),
% 117.27/117.32     inference(scs_inference,[],[4930,4975,5013,4868,4984,3219,1627,289,98,97,89,102,87,94,88])).
% 117.27/117.32  cnf(5024,plain,
% 117.27/117.32     (P4(a8,a1,a8,a2,a8,a1,a7,a7)),
% 117.27/117.32     inference(scs_inference,[],[4930,4975,5013,4868,4984,4988,3219,1627,289,98,97,89,102,87,94,88,99])).
% 117.27/117.32  cnf(5033,plain,
% 117.27/117.32     (~P4(a7,a7,a1,a8,a7,a5,a2,a7)),
% 117.27/117.32     inference(scs_inference,[],[3675,4462,4930,4975,5013,4868,4984,4988,3219,1627,1274,289,98,97,89,102,87,94,88,99,91,83,93,90])).
% 117.27/117.32  cnf(5038,plain,
% 117.27/117.32     (~P4(a7,a1,a2,a1,a4,a4,a7,x50381)),
% 117.27/117.32     inference(scs_inference,[],[3675,4462,4930,4975,5013,5018,4868,4908,4984,4988,3219,1627,1274,289,98,97,89,102,87,94,88,99,91,83,93,90,85,92])).
% 117.27/117.32  cnf(5056,plain,
% 117.27/117.32     (P4(a1,a1,a8,a1,a7,a1,a2,a7)),
% 117.27/117.32     inference(scs_inference,[],[3675,4462,4774,4780,4054,4818,4930,4975,5013,5018,4868,4908,4277,4984,4986,4988,3219,1627,1274,36,70,57,59,289,98,97,89,102,87,94,88,99,91,83,93,90,85,92,84,100,95,103,112,107,104,109,111])).
% 117.27/117.32  cnf(5058,plain,
% 117.27/117.32     (P4(a8,a1,a1,a2,a5,a1,a7,a6)),
% 117.27/117.32     inference(scs_inference,[],[3675,4462,4774,4780,4054,4818,4930,4975,5013,5018,4868,4908,4277,4984,4986,4988,3219,1627,1274,36,50,70,57,59,289,98,97,89,102,87,94,88,99,91,83,93,90,85,92,84,100,95,103,112,107,104,109,111,105])).
% 117.27/117.32  cnf(5065,plain,
% 117.27/117.32     (P4(a7,a8,a8,a2,a8,a1,a2,a7)),
% 117.27/117.32     inference(scs_inference,[],[5008,289])).
% 117.27/117.32  cnf(5067,plain,
% 117.27/117.32     (P4(a7,a7,a8,a1,a8,a1,a2,a7)),
% 117.27/117.32     inference(scs_inference,[],[5008,2304,289,98])).
% 117.27/117.32  cnf(5069,plain,
% 117.27/117.32     (P4(a6,a1,a1,a2,a8,a1,a7,a7)),
% 117.27/117.32     inference(scs_inference,[],[5008,2304,2319,289,98,97])).
% 117.27/117.32  cnf(5072,plain,
% 117.27/117.32     (~P4(a7,a1,a2,a1,a3,a4,a7,x50721)),
% 117.27/117.32     inference(rename_variables,[],[4924])).
% 117.27/117.32  cnf(5075,plain,
% 117.27/117.32     (~P4(a7,a1,a2,a1,a3,a4,a7,x50751)),
% 117.27/117.32     inference(rename_variables,[],[4924])).
% 117.27/117.32  cnf(5077,plain,
% 117.27/117.32     (P4(a8,a7,a8,a2,a8,a1,a2,a7)),
% 117.27/117.32     inference(scs_inference,[],[4998,5008,4924,5072,2304,2319,289,98,97,89,87,102])).
% 117.27/117.32  cnf(5079,plain,
% 117.27/117.32     (~P4(a1,a1,a2,a1,a3,a4,a7,x50791)),
% 117.27/117.32     inference(scs_inference,[],[4998,5008,4924,5072,5075,2304,2319,289,98,97,89,87,102,94])).
% 117.27/117.32  cnf(5081,plain,
% 117.27/117.32     (~P4(a7,a7,a2,a1,a3,a2,a7,x50811)),
% 117.27/117.32     inference(scs_inference,[],[4998,5008,4924,5072,5075,2304,2319,1629,289,98,97,89,87,102,94,88])).
% 117.27/117.32  cnf(5088,plain,
% 117.27/117.32     (~P4(a7,a1,a2,a1,a3,a4,a7,x50881)),
% 117.27/117.32     inference(rename_variables,[],[4924])).
% 117.27/117.32  cnf(5097,plain,
% 117.27/117.32     (~P4(a7,a1,a2,a1,a4,a5,a7,x50971)),
% 117.27/117.32     inference(scs_inference,[],[2764,4998,5008,4924,5072,5075,5088,4962,4992,2304,2319,1629,1132,289,98,97,89,87,102,94,88,99,91,83,93,90,85,92])).
% 117.27/117.32  cnf(5101,plain,
% 117.27/117.32     (P4(a7,a8,a7,a1,a8,a1,a2,a7)),
% 117.27/117.32     inference(scs_inference,[],[2764,4998,5008,4924,5072,5075,5088,4962,4294,4992,2304,2319,1629,1132,289,98,97,89,87,102,94,88,99,91,83,93,90,85,92,84,100])).
% 117.27/117.32  cnf(5103,plain,
% 117.27/117.32     (P4(a7,a8,a8,a1,a8,a1,a2,a7)),
% 117.27/117.32     inference(scs_inference,[],[2764,4998,5008,4924,5072,5075,5088,4962,4294,4992,2304,2319,1629,1132,289,98,97,89,87,102,94,88,99,91,83,93,90,85,92,84,100,95])).
% 117.27/117.32  cnf(5117,plain,
% 117.27/117.32     (P4(a1,a1,a8,a1,a8,a1,a2,a7)),
% 117.27/117.32     inference(scs_inference,[],[5056,289])).
% 117.27/117.32  cnf(5119,plain,
% 117.27/117.32     (P4(a1,a7,a8,a8,a8,a1,a6,a7)),
% 117.27/117.32     inference(scs_inference,[],[5056,2618,289,98])).
% 117.27/117.32  cnf(5122,plain,
% 117.27/117.32     (~P4(a1,a1,a2,a1,a5,a4,a7,x51221)),
% 117.27/117.32     inference(rename_variables,[],[4964])).
% 117.27/117.32  cnf(5131,plain,
% 117.27/117.32     (~P4(a7,a7,a2,a1,a4,a6,a7,x51311)),
% 117.27/117.32     inference(scs_inference,[],[5065,4964,5122,5056,2618,3656,1650,289,98,89,97,87,102,88])).
% 117.27/117.32  cnf(5133,plain,
% 117.27/117.32     (~P4(a1,a1,a2,a1,a5,a2,a7,x51331)),
% 117.27/117.32     inference(scs_inference,[],[5065,4964,5122,4980,5056,2618,3656,1650,289,98,89,97,87,102,88,94])).
% 117.27/117.32  cnf(5135,plain,
% 117.27/117.32     (P4(a6,a1,a7,a1,a1,a8,a7,a2)),
% 117.27/117.32     inference(scs_inference,[],[5065,4964,5122,4980,5056,2618,3656,1650,3001,289,98,89,97,87,102,88,94,99])).
% 117.27/117.32  cnf(5143,plain,
% 117.27/117.32     (~P4(a7,a7,a1,a7,a6,x51431,a2,x51432)),
% 117.27/117.32     inference(scs_inference,[],[5065,4866,4808,4964,5122,4980,5056,2618,3656,1650,3001,82,289,98,89,97,87,102,88,94,99,91,83,93,90])).
% 117.27/117.32  cnf(5147,plain,
% 117.27/117.32     (~P4(a7,a1,a2,a1,a3,a2,a7,x51471)),
% 117.27/117.32     inference(scs_inference,[],[5065,4866,4808,4964,5122,4980,5081,5056,2618,3656,1650,3001,82,289,98,89,97,87,102,88,94,99,91,83,93,90,85,92])).
% 117.27/117.32  cnf(5151,plain,
% 117.27/117.32     (P4(a7,a8,a8,a2,a5,a8,a6,a7)),
% 117.27/117.32     inference(scs_inference,[],[5065,4866,4808,4878,4964,5122,4980,5081,5056,2592,2618,3656,1650,3001,82,289,98,89,97,87,102,88,94,99,91,83,93,90,85,92,84,100])).
% 117.27/117.32  cnf(5153,plain,
% 117.27/117.32     (P4(a8,a7,a8,a1,a8,a1,a2,a7)),
% 117.27/117.32     inference(scs_inference,[],[5065,4866,4808,4878,4964,5122,4980,5081,5056,5077,2592,2618,3656,1650,3001,82,289,98,89,97,87,102,88,94,99,91,83,93,90,85,92,84,100,95])).
% 117.27/117.32  cnf(5157,plain,
% 117.27/117.32     (P4(a1,a7,a8,a2,a1,a2,a7,a7)),
% 117.27/117.32     inference(scs_inference,[],[5000,5065,4866,4808,4878,4964,5122,4980,5081,5056,5077,2592,2618,3656,1650,3001,82,71,57,289,98,89,97,87,102,88,94,99,91,83,93,90,85,92,84,100,95,103,112])).
% 117.27/117.32  cnf(5159,plain,
% 117.27/117.32     (P4(a6,a1,a7,a8,a1,a8,a2,a7)),
% 117.27/117.32     inference(scs_inference,[],[4672,5000,5065,4866,4808,4878,4964,5122,4980,5081,5056,5077,2592,2618,3656,1650,3001,82,71,57,59,289,98,89,97,87,102,88,94,99,91,83,93,90,85,92,84,100,95,103,112,107])).
% 117.27/117.32  cnf(5165,plain,
% 117.27/117.32     (P4(a7,a8,a8,a2,a8,a1,a2,a2)),
% 117.27/117.32     inference(scs_inference,[],[4672,5000,4535,5065,4866,5058,4808,4878,4964,5122,4980,5081,5056,5077,2592,2618,3656,1650,3001,82,29,71,57,59,289,98,89,97,87,102,88,94,99,91,83,93,90,85,92,84,100,95,103,112,107,109,111,108])).
% 117.27/117.32  cnf(5167,plain,
% 117.27/117.32     (P4(a7,a8,a8,a8,a8,a1,a2,a2)),
% 117.27/117.32     inference(scs_inference,[],[4672,5000,4535,5065,4866,5058,4808,4878,4964,5122,4980,5081,5056,5077,2592,2618,3656,1650,3001,82,29,71,57,59,289,98,89,97,87,102,88,94,99,91,83,93,90,85,92,84,100,95,103,112,107,109,111,108,96])).
% 117.27/117.32  cnf(5175,plain,
% 117.27/117.32     (P4(a6,a1,a8,a8,a1,a8,a2,a7)),
% 117.27/117.32     inference(scs_inference,[],[5159,98])).
% 117.27/117.32  cnf(5178,plain,
% 117.27/117.32     (~P4(a7,a7,a1,a7,a6,x51781,a2,x51782)),
% 117.27/117.32     inference(rename_variables,[],[5143])).
% 117.27/117.32  cnf(5180,plain,
% 117.27/117.32     (P4(a6,a1,a1,a1,a1,a8,a7,a2)),
% 117.27/117.32     inference(scs_inference,[],[5143,5135,5159,98,89,97])).
% 117.27/117.32  cnf(5182,plain,
% 117.27/117.32     (~P4(a7,a7,a1,a8,a6,x51821,a2,a7)),
% 117.27/117.32     inference(scs_inference,[],[5143,5178,5135,5159,98,89,97,87])).
% 117.27/117.32  cnf(5185,plain,
% 117.27/117.32     (P4(a8,a8,a8,a1,a8,a1,a2,a7)),
% 117.27/117.32     inference(scs_inference,[],[5103,5143,5178,5135,5159,98,89,97,87,102])).
% 117.27/117.32  cnf(5187,plain,
% 117.27/117.32     (~P4(a1,a1,a2,a1,a4,a4,a7,x51871)),
% 117.27/117.32     inference(scs_inference,[],[5103,5143,5178,5038,5135,5159,98,89,97,87,102,94])).
% 117.27/117.32  cnf(5189,plain,
% 117.27/117.32     (~P4(a7,a7,a2,a1,a3,a3,a7,x51891)),
% 117.27/117.32     inference(scs_inference,[],[5103,5143,5178,5038,5135,5159,1826,98,89,97,87,102,94,88])).
% 117.27/117.32  cnf(5191,plain,
% 117.27/117.32     (P4(a1,a1,a8,a2,a1,a2,a7,a7)),
% 117.27/117.32     inference(scs_inference,[],[5103,5143,5178,5038,5135,5157,5159,1826,98,89,97,87,102,94,88,99])).
% 117.27/117.32  cnf(5202,plain,
% 117.27/117.32     (~P4(a7,a1,a2,a1,a4,a6,a7,x52021)),
% 117.27/117.32     inference(scs_inference,[],[5103,5033,5143,5178,5020,5038,5131,5135,5157,5159,1826,98,89,97,87,102,94,88,99,91,83,93,85,92])).
% 117.27/117.32  cnf(5206,plain,
% 117.27/117.32     (P4(a1,a8,a8,a8,a8,a1,a6,a7)),
% 117.27/117.32     inference(scs_inference,[],[5103,5033,5143,5178,5020,5038,5131,4522,5119,5135,5157,5159,1826,98,89,97,87,102,94,88,99,91,83,93,85,92,84,100])).
% 117.27/117.32  cnf(5208,plain,
% 117.27/117.32     (P4(a7,a8,a8,a1,a8,a1,a2,a2)),
% 117.27/117.32     inference(scs_inference,[],[5103,5033,5143,5178,5020,5038,5131,4522,5119,5135,5157,5159,5165,1826,98,89,97,87,102,94,88,99,91,83,93,85,92,84,100,95])).
% 117.27/117.32  cnf(5218,plain,
% 117.27/117.32     (~P4(a7,a7,a1,a8,a7,x52181,a2,a7)),
% 117.27/117.32     inference(scs_inference,[],[3930,5103,4475,5033,5143,5178,4193,5020,5038,5131,3590,4522,5119,5135,5157,5159,5165,1826,65,72,57,60,59,98,89,97,87,102,94,88,99,91,83,93,85,92,84,100,95,103,112,107,104,111])).
% 117.27/117.32  cnf(5222,plain,
% 117.27/117.32     (P4(a1,a8,a8,a1,a8,a1,a7,a7)),
% 117.27/117.32     inference(scs_inference,[],[3930,5103,4475,5033,5143,5178,4193,5020,5038,5131,3590,4522,5119,5135,5157,5159,5165,1826,65,72,57,60,59,98,89,97,87,102,94,88,99,91,83,93,85,92,84,100,95,103,112,107,104,111,108,101])).
% 117.27/117.32  cnf(5228,plain,
% 117.27/117.32     (P4(a1,a7,a8,a2,a8,a1,a6,a7)),
% 117.27/117.32     inference(scs_inference,[],[2496,98])).
% 117.27/117.32  cnf(5230,plain,
% 117.27/117.32     (~P4(a7,a7,a8,a1,a2,a3,a7,a2)),
% 117.27/117.32     inference(scs_inference,[],[5022,2496,98,89])).
% 117.27/117.32  cnf(5231,plain,
% 117.27/117.32     (~P4(a7,a7,a2,a1,a2,a3,a7,x52311)),
% 117.27/117.32     inference(rename_variables,[],[5022])).
% 117.27/117.32  cnf(5238,plain,
% 117.27/117.32     (P4(a8,a8,a7,a1,a8,a1,a2,a7)),
% 117.27/117.32     inference(scs_inference,[],[5101,5022,5231,2496,2697,98,89,97,87,102])).
% 117.27/117.32  cnf(5242,plain,
% 117.27/117.32     (~P4(a7,a7,a2,a1,a1,a2,a7,x52421)),
% 117.27/117.32     inference(scs_inference,[],[5101,4224,5022,5231,2496,2281,2697,98,89,97,87,102,94,88])).
% 117.27/117.32  cnf(5244,plain,
% 117.27/117.32     (P4(a1,a1,a7,a1,a1,a4,a7,a6)),
% 117.27/117.32     inference(scs_inference,[],[5101,4224,5022,5231,2496,2281,2697,4198,98,89,97,87,102,94,88,99])).
% 117.27/117.32  cnf(5250,plain,
% 117.27/117.32     (~P4(a8,a7,a1,a8,a3,x52501,a2,a7)),
% 117.27/117.32     inference(scs_inference,[],[5101,4224,4478,5017,5022,5231,2496,2281,2697,4198,98,89,97,87,102,94,88,99,91,83,93])).
% 117.27/117.32  cnf(5254,plain,
% 117.27/117.32     (~P4(a1,a1,a2,a8,a6,a6,a7,a7)),
% 117.27/117.32     inference(scs_inference,[],[5101,4224,4478,5017,5022,5231,2736,2496,2281,2697,4198,98,89,97,87,102,94,88,99,91,83,93,85,92])).
% 117.27/117.32  cnf(5258,plain,
% 117.27/117.32     (P4(a1,a8,a7,a2,a8,a1,a6,a7)),
% 117.27/117.32     inference(scs_inference,[],[5101,4224,4478,5017,5022,5231,2736,4542,2496,2281,2697,4198,98,89,97,87,102,94,88,99,91,83,93,85,92,84,100])).
% 117.27/117.32  cnf(5260,plain,
% 117.27/117.32     (P4(a7,a8,a7,a1,a8,a1,a7,a7)),
% 117.27/117.32     inference(scs_inference,[],[5101,4224,4478,5017,5022,5231,2736,4542,2496,2281,2697,4198,57,98,89,97,87,102,94,88,99,91,83,93,85,92,84,100,103])).
% 117.27/117.32  cnf(5266,plain,
% 117.27/117.32     (P4(a8,a7,a1,a2,a5,a8,a7,a7)),
% 117.27/117.32     inference(scs_inference,[],[5101,4224,4478,5017,5022,5231,2313,2736,3452,4136,4542,2496,2281,2697,4198,71,57,58,98,89,97,87,102,94,88,99,91,83,93,85,92,84,100,103,112,107,104])).
% 117.27/117.32  cnf(5274,plain,
% 117.27/117.32     (~P4(a7,a8,a2,a8,a8,a7,a7,a1)),
% 117.27/117.32     inference(scs_inference,[],[22,5101,4093,4224,4478,5017,5022,5231,2313,2331,2736,3452,4136,4542,2496,2281,2697,4198,8,71,57,59,58,98,89,97,87,102,94,88,99,91,83,93,85,92,84,100,103,112,107,104,109,111,108,105])).
% 117.27/117.32  cnf(5279,plain,
% 117.27/117.32     (P4(a1,a8,a8,a2,a8,a1,a6,a7)),
% 117.27/117.32     inference(scs_inference,[],[5258,98])).
% 117.27/117.32  cnf(5282,plain,
% 117.27/117.32     (~P4(a1,a1,a2,a1,a3,a4,a7,x52821)),
% 117.27/117.32     inference(rename_variables,[],[5079])).
% 117.27/117.32  cnf(5284,plain,
% 117.27/117.32     (P4(a7,a8,a1,a1,a8,a1,a7,a7)),
% 117.27/117.32     inference(scs_inference,[],[5079,5258,5260,98,89,97])).
% 117.27/117.32  cnf(5287,plain,
% 117.27/117.32     (~P4(a1,a1,a2,a1,a3,a4,a7,x52871)),
% 117.27/117.32     inference(rename_variables,[],[5079])).
% 117.27/117.32  cnf(5291,plain,
% 117.27/117.32     (~P4(a7,a7,a2,a1,a1,a5,a7,x52911)),
% 117.27/117.32     inference(scs_inference,[],[5079,5282,4832,5258,5260,2411,98,89,97,87,102,88])).
% 117.27/117.32  cnf(5293,plain,
% 117.27/117.32     (P4(a8,a1,a1,a2,a5,a8,a7,a7)),
% 117.27/117.32     inference(scs_inference,[],[5079,5282,4832,5258,5260,5266,2411,98,89,97,87,102,88,99])).
% 117.27/117.32  cnf(5298,plain,
% 117.27/117.32     (~P4(a1,a1,a2,a1,a3,a4,a7,x52981)),
% 117.27/117.32     inference(rename_variables,[],[5079])).
% 117.27/117.32  cnf(5301,plain,
% 117.27/117.32     (~P4(a1,a1,a2,a1,a3,a4,a7,x53011)),
% 117.27/117.32     inference(rename_variables,[],[5079])).
% 117.27/117.32  cnf(5304,plain,
% 117.27/117.32     (~P4(a1,a1,a2,a1,a3,a4,a7,x53041)),
% 117.27/117.32     inference(rename_variables,[],[5079])).
% 117.27/117.32  cnf(5309,plain,
% 117.27/117.32     (~P4(a7,a1,a2,a1,a1,a2,a7,x53091)),
% 117.27/117.32     inference(scs_inference,[],[4343,5079,5282,5287,5298,5301,5304,5242,4832,5258,5260,5266,2411,98,89,97,87,102,88,99,94,91,83,93,85,92])).
% 117.27/117.32  cnf(5315,plain,
% 117.27/117.32     (P4(a7,a7,a8,a1,a8,a1,a7,a7)),
% 117.27/117.32     inference(scs_inference,[],[5067,4343,5079,5282,5287,5298,5301,5304,5242,4588,4832,5258,5260,5266,2411,57,98,89,97,87,102,88,99,94,91,83,93,85,92,84,100,103])).
% 117.27/117.32  cnf(5321,plain,
% 117.27/117.32     (P4(a6,a1,a8,a1,a1,a8,a7,a6)),
% 117.27/117.32     inference(scs_inference,[],[5067,4768,4343,4218,5079,5282,5287,5298,5301,5304,5242,4588,4832,5258,5260,5266,2411,70,57,60,58,98,89,97,87,102,88,99,94,91,83,93,85,92,84,100,103,112,107,104])).
% 117.27/117.32  cnf(5323,plain,
% 117.27/117.32     (~P4(a7,a8,a1,a8,a7,x53231,a2,a7)),
% 117.27/117.32     inference(scs_inference,[],[5067,4768,4343,4218,4421,5079,5282,5287,5298,5301,5304,5242,4588,4832,5258,5260,5266,2411,65,70,57,60,58,98,89,97,87,102,88,99,94,91,83,93,85,92,84,100,103,112,107,104,111])).
% 117.27/117.32  cnf(5333,plain,
% 117.27/117.32     (P4(a7,a7,a8,a2,a5,a2,a6,a7)),
% 117.27/117.32     inference(scs_inference,[],[1025,98])).
% 117.27/117.32  cnf(5336,plain,
% 117.27/117.32     (~P4(a7,a1,a2,a1,a4,a5,a7,x53361)),
% 117.27/117.32     inference(rename_variables,[],[5097])).
% 117.27/117.32  cnf(5341,plain,
% 117.27/117.32     (~P4(a7,a1,a2,a1,a4,a5,a7,x53411)),
% 117.27/117.32     inference(rename_variables,[],[5097])).
% 117.27/117.32  cnf(5343,plain,
% 117.27/117.32     (P4(a8,a8,a1,a1,a8,a1,a7,a7)),
% 117.27/117.32     inference(scs_inference,[],[5097,5336,5284,1025,3818,98,89,97,87,102])).
% 117.27/117.32  cnf(5347,plain,
% 117.27/117.32     (~P4(a7,a7,a2,a1,a7,a5,a7,x53471)),
% 117.27/117.32     inference(scs_inference,[],[5274,5097,5336,5284,1025,3818,1356,98,89,97,87,102,94,88])).
% 117.27/117.32  cnf(5352,plain,
% 117.27/117.32     (~P4(a7,a1,a2,a1,a4,a5,a7,x53521)),
% 117.27/117.32     inference(rename_variables,[],[5097])).
% 117.27/117.32  cnf(5355,plain,
% 117.27/117.32     (~P4(a7,a1,a2,a1,a4,a5,a7,x53551)),
% 117.27/117.32     inference(rename_variables,[],[5097])).
% 117.27/117.32  cnf(5362,plain,
% 117.27/117.32     (~P4(a7,a1,a2,a1,a1,a5,a7,x53621)),
% 117.27/117.32     inference(scs_inference,[],[4650,5274,5097,5336,5341,5352,5355,5291,5284,5315,1025,3818,1356,98,89,97,87,102,94,88,99,91,83,93,85,92])).
% 117.27/117.32  cnf(5364,plain,
% 117.27/117.32     (~P4(a8,a8,a2,a8,a1,a1,a7,a1)),
% 117.27/117.32     inference(scs_inference,[],[4650,5274,5097,5336,5341,5352,5355,5291,5284,5315,1025,3818,1356,98,89,97,87,102,94,88,99,91,83,93,85,92,84])).
% 117.27/117.32  cnf(5380,plain,
% 117.27/117.32     (P4(a7,a8,a8,a8,a8,a1,a2,a7)),
% 117.27/117.32     inference(scs_inference,[],[5185,5167,3629,4650,3520,5274,5097,5336,5341,5352,5355,5291,5309,3594,5284,5315,3458,1025,3818,1356,15,67,72,57,59,98,89,97,87,102,94,88,99,91,83,93,85,92,84,100,103,112,107,104,109,111,108])).
% 117.27/117.32  cnf(5382,plain,
% 117.27/117.32     (P4(a8,a1,a1,a2,a8,a1,a7,a7)),
% 117.27/117.32     inference(scs_inference,[],[5185,5167,3629,4650,3520,5274,5097,5336,5341,5352,5355,5291,5309,3594,5284,5315,3458,1025,3818,1356,15,67,72,57,59,98,89,97,87,102,94,88,99,91,83,93,85,92,84,100,103,112,107,104,109,111,108,289])).
% 117.27/117.32  cnf(5388,plain,
% 117.27/117.32     (P4(a7,a7,a8,a2,a4,a2,a6,a7)),
% 117.27/117.32     inference(scs_inference,[],[1028,98])).
% 117.27/117.32  cnf(5391,plain,
% 117.27/117.32     (~P4(a1,a1,a2,a1,a5,a2,a7,x53911)),
% 117.27/117.32     inference(rename_variables,[],[5133])).
% 117.27/117.32  cnf(5396,plain,
% 117.27/117.32     (~P4(a1,a1,a2,a1,a5,a2,a7,x53961)),
% 117.27/117.32     inference(rename_variables,[],[5133])).
% 117.27/117.32  cnf(5400,plain,
% 117.27/117.32     (~P4(a1,a7,a2,a1,a5,a8,a7,a7)),
% 117.27/117.32     inference(scs_inference,[],[3526,5133,5391,5321,1028,2301,98,89,97,87,102,94])).
% 117.27/117.32  cnf(5404,plain,
% 117.27/117.32     (P4(a6,a1,a7,a2,a4,a8,a7,a6)),
% 117.27/117.32     inference(scs_inference,[],[3526,5133,5391,5321,1028,915,2301,1586,98,89,97,87,102,94,88,99])).
% 117.27/117.32  cnf(5408,plain,
% 117.27/117.32     (~P4(a1,a1,a2,a1,a5,a8,a7,a2)),
% 117.27/117.32     inference(scs_inference,[],[3400,3526,5133,5391,5396,5321,1028,915,2301,1586,98,89,97,87,102,94,88,99,91,83])).
% 117.27/117.32  cnf(5409,plain,
% 117.27/117.32     (~P4(a1,a1,a2,a1,a5,a2,a7,x54091)),
% 117.27/117.32     inference(rename_variables,[],[5133])).
% 117.27/117.32  cnf(5411,plain,
% 117.27/117.32     (~P4(a8,a7,a2,a1,a5,a8,a7,a7)),
% 117.27/117.32     inference(scs_inference,[],[3400,3526,5133,5391,5396,5321,1028,915,2301,1586,98,89,97,87,102,94,88,99,91,83,93])).
% 117.27/117.32  cnf(5414,plain,
% 117.27/117.32     (~P4(a1,a1,a2,a1,a5,a2,a7,x54141)),
% 117.27/117.32     inference(rename_variables,[],[5133])).
% 117.27/117.32  cnf(5416,plain,
% 117.27/117.32     (~P4(a7,a1,a2,a1,a5,a8,a7,a7)),
% 117.27/117.32     inference(scs_inference,[],[3400,3526,5133,5391,5396,5409,5321,1028,915,2301,1586,98,89,97,87,102,94,88,99,91,83,93,85,92])).
% 117.27/117.32  cnf(5420,plain,
% 117.27/117.32     (P4(a7,a8,a8,a2,a5,a2,a6,a7)),
% 117.27/117.32     inference(scs_inference,[],[3400,3526,5133,5391,5396,5409,4591,5321,5333,1028,915,2301,1586,98,89,97,87,102,94,88,99,91,83,93,85,92,84,100])).
% 117.27/117.32  cnf(5422,plain,
% 117.27/117.32     (P4(a8,a7,a8,a1,a8,a1,a7,a7)),
% 117.27/117.32     inference(scs_inference,[],[5153,3400,3526,5133,5391,5396,5409,4591,5321,5333,1028,915,2301,1586,57,98,89,97,87,102,94,88,99,91,83,93,85,92,84,100,103])).
% 117.27/117.32  cnf(5424,plain,
% 117.27/117.32     (~P4(a1,a1,a2,a1,a5,a3,a7,x54241)),
% 117.27/117.32     inference(scs_inference,[],[5153,3400,3526,5133,5391,5396,5409,5414,4591,5321,5333,1028,915,2301,1586,67,57,98,89,97,87,102,94,88,99,91,83,93,85,92,84,100,103,112])).
% 117.27/117.32  cnf(5432,plain,
% 117.27/117.32     (~P4(a1,a7,a2,a1,a5,a7,a7,a7)),
% 117.27/117.32     inference(scs_inference,[],[5153,3692,4830,3400,3526,5133,5391,5396,5409,5414,4591,5321,5333,1028,915,2301,1586,51,66,67,57,60,98,89,97,87,102,94,88,99,91,83,93,85,92,84,100,103,112,107,104,111,106])).
% 117.27/117.32  cnf(5445,plain,
% 117.27/117.32     (~P4(a7,a1,a2,a1,a3,a2,a7,x54451)),
% 117.27/117.32     inference(rename_variables,[],[5147])).
% 117.27/117.32  cnf(5447,plain,
% 117.27/117.32     (P4(a6,a1,a1,a2,a7,a3,a7,a6)),
% 117.27/117.32     inference(scs_inference,[],[5147,2874,2259,98,89,97])).
% 117.27/117.32  cnf(5452,plain,
% 117.27/117.32     (~P4(a7,a1,a2,a1,a3,a2,a7,x54521)),
% 117.27/117.32     inference(rename_variables,[],[5147])).
% 117.27/117.32  cnf(5458,plain,
% 117.27/117.32     (P4(a8,a1,a8,a1,a8,a1,a7,a7)),
% 117.27/117.32     inference(scs_inference,[],[5147,5445,5347,5380,5422,2874,2259,3263,98,89,97,102,87,88,94,99])).
% 117.27/117.32  cnf(5461,plain,
% 117.27/117.32     (~P4(a7,a1,a2,a1,a3,a2,a7,x54611)),
% 117.27/117.32     inference(rename_variables,[],[5147])).
% 117.27/117.32  cnf(5466,plain,
% 117.27/117.32     (~P4(a7,a1,a2,a1,a3,a2,a7,x54661)),
% 117.27/117.32     inference(rename_variables,[],[5147])).
% 117.27/117.32  cnf(5469,plain,
% 117.27/117.32     (~P4(a7,a1,a2,a1,a3,a2,a7,x54691)),
% 117.27/117.32     inference(rename_variables,[],[5147])).
% 117.27/117.32  cnf(5478,plain,
% 117.27/117.32     (P4(a7,a8,a8,a2,a4,a2,a6,a7)),
% 117.27/117.32     inference(scs_inference,[],[5147,5445,5452,5461,5466,5469,5347,4744,5380,5388,5422,2874,2259,3263,98,89,97,102,87,88,94,99,91,86,83,93,85,92,84,100])).
% 117.27/117.32  cnf(5494,plain,
% 117.27/117.32     (P4(a7,a8,a8,a8,a5,a8,a6,a2)),
% 117.27/117.32     inference(scs_inference,[],[5117,4662,4214,4154,5151,5147,5445,5452,5461,5466,5469,5347,2387,4744,5380,5388,5422,2874,2259,3263,36,69,72,59,60,98,89,97,102,87,88,94,99,91,86,83,93,85,92,84,100,103,112,107,104,109,111,108,96])).
% 117.27/117.32  cnf(5496,plain,
% 117.27/117.32     (P4(a8,a8,a1,a2,a8,a1,a7,a7)),
% 117.27/117.32     inference(scs_inference,[],[5117,4662,4214,4154,5151,5147,5445,5452,5461,5466,5469,5347,2387,4744,5380,5388,5422,2874,2259,3263,36,69,72,59,60,98,89,97,102,87,88,94,99,91,86,83,93,85,92,84,100,103,112,107,104,109,111,108,96,289])).
% 117.27/117.32  cnf(5498,plain,
% 117.27/117.32     (P4(a8,a8,a1,a1,a1,a4,a2,a7)),
% 117.27/117.32     inference(scs_inference,[],[5117,4662,4214,4154,5151,5147,5445,5452,5461,5466,5469,5347,2387,4744,5380,5388,5422,2874,2259,3263,36,69,72,59,60,98,89,97,102,87,88,94,99,91,86,83,93,85,92,84,100,103,112,107,104,109,111,108,96,289,95])).
% 117.27/117.32  cnf(5500,plain,
% 117.27/117.32     (~P4(a8,a7,a2,a1,a5,a7,a7,a7)),
% 117.27/117.32     inference(scs_inference,[],[5117,4662,4214,4154,5151,5147,5445,5452,5461,5466,5469,5347,2387,4744,5380,5388,5411,5422,2874,2259,3263,51,36,69,72,59,60,98,89,97,102,87,88,94,99,91,86,83,93,85,92,84,100,103,112,107,104,109,111,108,96,289,95,106])).
% 117.27/117.32  cnf(5506,plain,
% 117.27/117.32     (~P4(a1,a1,a8,a1,a4,a4,a7,a2)),
% 117.27/117.32     inference(scs_inference,[],[5187,2784,98,89])).
% 117.27/117.32  cnf(5507,plain,
% 117.27/117.32     (~P4(a1,a1,a2,a1,a4,a4,a7,x55071)),
% 117.27/117.32     inference(rename_variables,[],[5187])).
% 117.27/117.32  cnf(5509,plain,
% 117.27/117.32     (P4(a6,a7,a1,a8,a7,a8,a7,a6)),
% 117.27/117.32     inference(scs_inference,[],[5187,2784,2457,98,89,97])).
% 117.27/117.32  cnf(5511,plain,
% 117.27/117.32     (P4(a8,a1,a7,a2,a4,a8,a7,a6)),
% 117.27/117.32     inference(scs_inference,[],[5187,5404,2784,2457,98,89,97,102])).
% 117.27/117.32  cnf(5514,plain,
% 117.27/117.32     (~P4(a1,a1,a2,a1,a4,a4,a7,x55141)),
% 117.27/117.32     inference(rename_variables,[],[5187])).
% 117.27/117.32  cnf(5518,plain,
% 117.27/117.32     (~P4(a1,a1,a2,a1,a1,a5,a7,x55181)),
% 117.27/117.32     inference(scs_inference,[],[5187,5507,5362,5404,2784,2457,2845,98,89,97,102,87,88,94])).
% 117.27/117.32  cnf(5520,plain,
% 117.27/117.32     (P4(a6,a1,a7,a8,a7,a8,a7,a6)),
% 117.27/117.32     inference(scs_inference,[],[5187,5507,5362,5404,2784,2457,2845,98,89,97,102,87,88,94,99])).
% 117.27/117.32  cnf(5522,plain,
% 117.27/117.32     (~P4(a1,a8,a2,a1,a5,a7,a7,a7)),
% 117.27/117.32     inference(scs_inference,[],[5432,5187,5507,5362,5404,2784,2457,2845,98,89,97,102,87,88,94,99,91])).
% 117.27/117.32  cnf(5525,plain,
% 117.27/117.32     (~P4(a1,a1,a2,a1,a4,a4,a7,x55251)),
% 117.27/117.32     inference(rename_variables,[],[5187])).
% 117.27/117.32  cnf(5527,plain,
% 117.27/117.32     (~P4(a8,a7,a1,a8,a6,x55271,a2,a7)),
% 117.27/117.32     inference(scs_inference,[],[5432,5182,5187,5507,5514,5362,5404,2784,2457,2845,98,89,97,102,87,88,94,99,91,83,93])).
% 117.27/117.32  cnf(5550,plain,
% 117.27/117.32     (P4(a1,a1,a1,a1,a1,a8,a6,a2)),
% 117.27/117.32     inference(scs_inference,[],[5222,5180,4447,5432,5182,5187,5507,5514,5525,5362,5404,2423,2784,2457,2845,62,70,58,60,98,89,97,102,87,88,94,99,91,83,93,85,92,84,100,103,112,107,104,111,108,101])).
% 117.27/117.32  cnf(5558,plain,
% 117.27/117.32     (P4(a7,a7,a8,a2,a8,a5,a6,a7)),
% 117.27/117.32     inference(scs_inference,[],[778,98])).
% 117.27/117.32  cnf(5561,plain,
% 117.27/117.32     (~P4(a7,a7,a2,a1,a3,a3,a7,x55611)),
% 117.27/117.32     inference(rename_variables,[],[5189])).
% 117.27/117.32  cnf(5563,plain,
% 117.27/117.32     (P4(a6,a1,a1,a8,a7,a8,a7,a6)),
% 117.27/117.32     inference(scs_inference,[],[5189,5520,778,98,89,97])).
% 117.27/117.32  cnf(5567,plain,
% 117.27/117.32     (~P4(a7,a7,a2,a8,a3,a3,a7,a1)),
% 117.27/117.32     inference(scs_inference,[],[5447,5189,5561,5520,778,98,89,97,102,87])).
% 117.27/117.32  cnf(5568,plain,
% 117.27/117.32     (~P4(a7,a7,a2,a1,a3,a3,a7,x55681)),
% 117.27/117.32     inference(rename_variables,[],[5189])).
% 117.27/117.32  cnf(5570,plain,
% 117.27/117.32     (~P4(a7,a7,a2,a1,a5,a1,a7,x55701)),
% 117.27/117.32     inference(scs_inference,[],[5447,5189,5561,5520,778,1115,98,89,97,102,87,88])).
% 117.27/117.32  cnf(5574,plain,
% 117.27/117.32     (P4(a6,a1,a7,a2,a7,a8,a7,a6)),
% 117.27/117.32     inference(scs_inference,[],[5447,5189,5561,2795,5520,778,892,1115,98,89,97,102,87,88,94,99])).
% 117.27/117.32  cnf(5579,plain,
% 117.27/117.32     (~P4(a7,a7,a2,a1,a3,a3,a7,x55791)),
% 117.27/117.32     inference(rename_variables,[],[5189])).
% 117.27/117.32  cnf(5582,plain,
% 117.27/117.32     (~P4(a7,a7,a2,a1,a3,a3,a7,x55821)),
% 117.27/117.32     inference(rename_variables,[],[5189])).
% 117.27/117.32  cnf(5601,plain,
% 117.27/117.32     (P4(a8,a1,a1,a2,a1,a3,a7,a6)),
% 117.27/117.32     inference(scs_inference,[],[5208,5494,5498,5400,5447,5189,5561,5568,5579,5582,2795,4849,5520,2640,778,892,1115,36,69,57,98,89,97,102,87,88,94,99,91,83,93,85,92,84,100,103,112,107,104,109])).
% 117.27/117.32  cnf(5605,plain,
% 117.27/117.32     (~P4(a7,a1,a2,a1,a5,a7,a7,a7)),
% 117.27/117.32     inference(scs_inference,[],[5208,5494,5498,5400,5447,5189,5561,5568,5579,5582,2795,4849,5416,5520,2640,778,892,1115,51,36,69,71,57,98,89,97,102,87,88,94,99,91,83,93,85,92,84,100,103,112,107,104,109,111,106])).
% 117.27/117.32  cnf(5616,plain,
% 117.27/117.32     (~P4(a7,a1,a2,a1,a4,a6,a7,x56161)),
% 117.27/117.32     inference(rename_variables,[],[5202])).
% 117.27/117.32  cnf(5623,plain,
% 117.27/117.32     (~P4(a7,a1,a2,a1,a4,a6,a7,x56231)),
% 117.27/117.32     inference(rename_variables,[],[5202])).
% 117.27/117.32  cnf(5625,plain,
% 117.27/117.32     (~P4(a7,a7,a2,a1,a4,a7,a7,x56251)),
% 117.27/117.32     inference(scs_inference,[],[5563,5202,5616,5574,1071,1268,98,89,97,102,87,88])).
% 117.27/117.32  cnf(5627,plain,
% 117.27/117.32     (~P4(a1,a7,a2,a1,a5,a1,a7,x56271)),
% 117.27/117.32     inference(scs_inference,[],[5563,5202,5616,5570,5574,1071,1268,98,89,97,102,87,88,94])).
% 117.27/117.32  cnf(5629,plain,
% 117.27/117.32     (P4(a7,a1,a7,a2,a1,a4,a7,a7)),
% 117.27/117.32     inference(scs_inference,[],[5563,5202,5616,5570,5574,1071,2522,1268,98,89,97,102,87,88,94,99])).
% 117.27/117.32  cnf(5631,plain,
% 117.27/117.32     (~P4(a8,a8,a2,a1,a1,a7,a7,a7)),
% 117.27/117.32     inference(scs_inference,[],[4449,5563,5202,5616,5570,5574,1071,2522,1268,98,89,97,102,87,88,94,99,91])).
% 117.27/117.32  cnf(5636,plain,
% 117.27/117.32     (~P4(a7,a1,a2,a1,a4,a6,a7,x56361)),
% 117.27/117.32     inference(rename_variables,[],[5202])).
% 117.27/117.32  cnf(5641,plain,
% 117.27/117.32     (~P4(a7,a1,a2,a1,a5,a1,a7,x56411)),
% 117.27/117.32     inference(scs_inference,[],[4449,5563,5202,5616,5623,5636,5570,5574,1071,2522,1268,98,89,97,102,87,88,94,99,91,83,93,85,92])).
% 117.27/117.32  cnf(5663,plain,
% 117.27/117.32     (P4(a8,a1,a1,a8,a8,a1,a7,a2)),
% 117.27/117.32     inference(scs_inference,[],[5382,4334,5550,4319,4449,5563,5202,5616,5623,5636,5570,4855,5558,5574,1071,2522,1268,1,29,61,67,57,59,98,89,97,102,87,88,94,99,91,83,93,85,92,84,100,103,110,112,107,104,109,111,108,96])).
% 117.27/117.32  cnf(5665,plain,
% 117.27/117.32     (~P4(a1,a1,a2,a7,a7,a8,a7,a7)),
% 117.27/117.32     inference(scs_inference,[],[5382,4334,5550,4319,4449,5563,5202,5616,5623,5636,5570,4855,5558,5574,1071,2522,1268,1,29,61,67,57,59,98,89,97,102,87,88,94,99,91,83,93,85,92,84,100,103,110,112,107,104,109,111,108,96,837])).
% 117.27/117.32  cnf(5667,plain,
% 117.27/117.32     (P4(a8,a1,a1,a1,a8,a1,a2,a7)),
% 117.27/117.32     inference(scs_inference,[],[5382,4334,5550,4319,4449,5563,5202,5616,5623,5636,5570,4855,5558,5574,1071,2522,1268,1,29,61,67,57,59,98,89,97,102,87,88,94,99,91,83,93,85,92,84,100,103,110,112,107,104,109,111,108,96,837,95])).
% 117.27/117.32  cnf(5676,plain,
% 117.27/117.32     (~P4(a1,a1,a2,a1,a5,a3,a7,x56761)),
% 117.27/117.32     inference(rename_variables,[],[5424])).
% 117.27/117.32  cnf(5680,plain,
% 117.27/117.32     (P4(a8,a8,a8,a2,a5,a2,a6,a7)),
% 117.27/117.32     inference(scs_inference,[],[5424,5420,5629,98,89,97,102])).
% 117.27/117.32  cnf(5682,plain,
% 117.27/117.32     (~P4(a1,a1,a2,a8,a5,a3,a7,a1)),
% 117.27/117.32     inference(scs_inference,[],[5424,5676,5420,5629,98,89,97,102,87])).
% 117.27/117.32  cnf(5685,plain,
% 117.27/117.32     (~P4(a1,a7,a2,a1,a4,a7,a7,x56851)),
% 117.27/117.32     inference(scs_inference,[],[5424,5676,5625,5420,5629,98,89,97,102,87,94])).
% 117.27/117.32  cnf(5687,plain,
% 117.27/117.32     (~P4(a7,a7,a2,a1,a2,a2,a7,x56871)),
% 117.27/117.32     inference(scs_inference,[],[5424,5676,5625,5420,5629,1409,98,89,97,102,87,94,88])).
% 117.27/117.32  cnf(5689,plain,
% 117.27/117.32     (P4(a7,a1,a7,a1,a8,a1,a7,a6)),
% 117.27/117.32     inference(scs_inference,[],[5424,5676,5625,5420,5629,2580,1409,98,89,97,102,87,94,88,99])).
% 117.27/117.32  cnf(5691,plain,
% 117.27/117.32     (~P4(a8,a8,a1,a8,a3,x56911,a2,a7)),
% 117.27/117.32     inference(scs_inference,[],[5250,5424,5676,5625,5420,5629,2580,1409,98,89,97,102,87,94,88,99,91])).
% 117.27/117.32  cnf(5695,plain,
% 117.27/117.32     (~P4(a8,a7,a1,a8,a7,x56951,a2,a7)),
% 117.27/117.32     inference(scs_inference,[],[5631,5218,5250,5424,5676,5625,5420,5629,2580,1409,98,89,97,102,87,94,88,99,91,83,93])).
% 117.27/117.32  cnf(5699,plain,
% 117.27/117.32     (~P4(a7,a1,a2,a1,a4,a7,a7,x56991)),
% 117.27/117.32     inference(scs_inference,[],[5631,5218,5250,5424,5676,5625,5420,5629,2580,1409,98,89,97,102,87,94,88,99,91,83,93,85,92])).
% 117.27/117.32  cnf(5703,plain,
% 117.27/117.32     (P4(a7,a8,a7,a2,a1,a2,a6,a7)),
% 117.27/117.32     inference(scs_inference,[],[5631,5218,5250,5424,5676,5625,5420,5629,2705,2580,1409,98,89,97,102,87,94,88,99,91,83,93,85,92,84,100])).
% 117.27/117.32  cnf(5709,plain,
% 117.27/117.32     (P4(a1,a1,a8,a2,a1,a2,a2,a7)),
% 117.27/117.32     inference(scs_inference,[],[5496,5191,2909,5631,5218,5250,5424,5676,5625,5420,5629,2705,2580,1409,72,59,98,89,97,102,87,94,88,99,91,83,93,85,92,84,100,103,112,107])).
% 117.27/117.32  cnf(5713,plain,
% 117.27/117.32     (P4(a8,a1,a8,a2,a7,a1,a7,a7)),
% 117.27/117.32     inference(scs_inference,[],[5496,4392,5191,2909,4243,5631,5218,5250,5424,5676,5625,5420,5629,2705,2580,1409,72,59,98,89,97,102,87,94,88,99,91,83,93,85,92,84,100,103,112,107,104,111])).
% 117.27/117.32  cnf(5717,plain,
% 117.27/117.32     (P4(a1,a8,a8,a2,a8,a1,a6,a2)),
% 117.27/117.32     inference(scs_inference,[],[5279,5496,4392,5191,2909,4243,5631,5218,5250,5424,5676,5625,5420,5629,5665,2705,2580,1409,30,72,59,98,89,97,102,87,94,88,99,91,83,93,85,92,84,100,103,112,107,104,111,106,108])).
% 117.27/117.32  cnf(5719,plain,
% 117.27/117.32     (~P4(a1,a7,a2,a1,a5,a7,a7,x57191)),
% 117.27/117.32     inference(scs_inference,[],[5279,5496,4392,5191,2909,4243,5631,5218,5250,5424,5676,5625,5627,5420,5629,5665,2705,2580,1409,30,50,72,59,98,89,97,102,87,94,88,99,91,83,93,85,92,84,100,103,112,107,104,111,106,108,105])).
% 117.27/117.32  cnf(5723,plain,
% 117.27/117.32     (P4(a8,a8,a1,a1,a8,a1,a2,a7)),
% 117.27/117.32     inference(scs_inference,[],[5279,5496,4392,5191,2909,4243,5631,5218,5250,5424,5676,5625,5627,5420,5629,5665,2705,2580,1409,30,50,72,59,98,89,97,102,87,94,88,99,91,83,93,85,92,84,100,103,112,107,104,111,106,108,105,96,95])).
% 117.27/117.32  cnf(5729,plain,
% 117.27/117.32     (P4(a1,a8,a8,a8,a8,a1,a6,a2)),
% 117.27/117.32     inference(scs_inference,[],[5717,96])).
% 117.27/117.32  cnf(5734,plain,
% 117.27/117.32     (~P4(a1,a1,a2,a1,a1,a5,a7,x57341)),
% 117.27/117.32     inference(rename_variables,[],[5518])).
% 117.27/117.32  cnf(5741,plain,
% 117.27/117.32     (~P4(a1,a1,a2,a1,a1,a5,a7,x57411)),
% 117.27/117.32     inference(rename_variables,[],[5518])).
% 117.27/117.32  cnf(5743,plain,
% 117.27/117.32     (~P4(a1,a1,a2,a1,a5,a1,a7,x57431)),
% 117.27/117.32     inference(scs_inference,[],[5518,5734,5641,5478,5689,5717,2174,96,98,89,97,102,87,94])).
% 117.27/117.32  cnf(5747,plain,
% 117.27/117.32     (P4(a7,a1,a7,a2,a1,a5,a7,a7)),
% 117.27/117.32     inference(scs_inference,[],[5518,5734,5641,5478,5689,5717,2174,2699,1582,96,98,89,97,102,87,94,88,99])).
% 117.27/117.32  cnf(5754,plain,
% 117.27/117.32     (~P4(a8,a8,a1,a8,a7,x57541,a2,a7)),
% 117.27/117.32     inference(scs_inference,[],[4568,5323,5518,5734,5741,5641,5478,5689,5717,2174,2699,1582,96,98,89,97,102,87,94,88,99,91,83,93])).
% 117.27/117.32  cnf(5758,plain,
% 117.27/117.32     (~P4(a1,a1,a2,a1,a4,a7,a7,x57581)),
% 117.27/117.32     inference(scs_inference,[],[4568,5323,5518,5734,5741,5641,5685,5478,5689,5717,2174,2699,1582,96,98,89,97,102,87,94,88,99,91,83,93,85,92])).
% 117.27/117.32  cnf(5772,plain,
% 117.27/117.32     (P4(a6,a1,a8,a8,a1,a8,a2,a6)),
% 117.27/117.32     inference(scs_inference,[],[5024,3742,5175,4568,5522,5323,5518,5734,5741,5641,5685,5478,5689,5709,5717,2999,2174,2699,1582,70,60,96,98,89,97,102,87,94,88,99,91,83,93,85,92,84,100,95,103,112,107,104])).
% 117.27/117.32  cnf(5776,plain,
% 117.27/117.32     (~P4(a1,a1,a2,a8,a3,a6,a7,a7)),
% 117.27/117.32     inference(scs_inference,[],[5024,3742,5175,4568,5254,5522,5323,5518,5734,5741,5641,5685,5478,5689,5709,5717,2999,2174,2699,1582,29,68,70,60,96,98,89,97,102,87,94,88,99,91,83,93,85,92,84,100,95,103,112,107,104,109,111])).
% 117.27/117.32  cnf(5788,plain,
% 117.27/117.32     (~P4(a7,a7,a2,a1,a2,a2,a7,x57881)),
% 117.27/117.32     inference(rename_variables,[],[5687])).
% 117.27/117.32  cnf(5790,plain,
% 117.27/117.32     (P4(a7,a1,a1,a2,a1,a5,a7,a7)),
% 117.27/117.32     inference(scs_inference,[],[5687,5747,2347,98,89,97])).
% 117.27/117.32  cnf(5795,plain,
% 117.27/117.32     (~P4(a7,a7,a2,a1,a2,a2,a7,x57951)),
% 117.27/117.32     inference(rename_variables,[],[5687])).
% 117.27/117.32  cnf(5797,plain,
% 117.27/117.32     (~P4(a1,a7,a2,a1,a2,a2,a7,x57971)),
% 117.27/117.32     inference(scs_inference,[],[5687,5788,5795,5703,5747,2347,98,89,97,102,87,94])).
% 117.27/117.32  cnf(5799,plain,
% 117.27/117.32     (~P4(a7,a7,a2,a1,a2,a1,a7,x57991)),
% 117.27/117.32     inference(scs_inference,[],[5687,5788,5795,5703,5747,2347,1110,98,89,97,102,87,94,88])).
% 117.27/117.32  cnf(5801,plain,
% 117.27/117.32     (P4(a7,a1,a8,a2,a4,a1,a7,a7)),
% 117.27/117.32     inference(scs_inference,[],[5687,5788,5795,5703,5747,2347,3301,1110,98,89,97,102,87,94,88,99])).
% 117.27/117.32  cnf(5806,plain,
% 117.27/117.32     (~P4(a7,a7,a2,a1,a2,a2,a7,x58061)),
% 117.27/117.32     inference(rename_variables,[],[5687])).
% 117.27/117.32  cnf(5809,plain,
% 117.27/117.32     (~P4(a7,a7,a2,a1,a2,a2,a7,x58091)),
% 117.27/117.32     inference(rename_variables,[],[5687])).
% 117.27/117.32  cnf(5811,plain,
% 117.27/117.32     (~P4(a7,a7,a2,a1,a8,a2,a7,a2)),
% 117.27/117.32     inference(scs_inference,[],[5527,5687,5788,5795,5806,5809,5703,5747,2347,3301,1110,98,89,97,102,87,94,88,99,91,83,93,85])).
% 117.27/117.32  cnf(5812,plain,
% 117.27/117.32     (~P4(a7,a7,a2,a1,a2,a2,a7,x58121)),
% 117.27/117.32     inference(rename_variables,[],[5687])).
% 117.27/117.32  cnf(5814,plain,
% 117.27/117.32     (~P4(a7,a1,a2,a1,a2,a2,a7,x58141)),
% 117.27/117.32     inference(scs_inference,[],[5527,5687,5788,5795,5806,5809,5812,5703,5747,2347,3301,1110,98,89,97,102,87,94,88,99,91,83,93,85,92])).
% 117.27/117.32  cnf(5816,plain,
% 117.27/117.32     (~P4(a7,a1,a2,a1,a4,a1,a7,x58161)),
% 117.27/117.32     inference(scs_inference,[],[5527,5687,5788,5795,5806,5809,5812,5699,5703,5747,2347,3301,1110,98,89,97,102,87,94,88,99,91,83,93,85,92,84])).
% 117.27/117.32  cnf(5832,plain,
% 117.27/117.32     (~P4(a1,a1,a2,a1,a5,a7,a7,x58321)),
% 117.27/117.32     inference(scs_inference,[],[5601,5667,3994,4241,5527,5687,5788,5795,5806,5809,5812,5699,5743,5703,5747,5713,3866,2347,3301,1110,50,67,69,57,58,59,98,89,97,102,87,94,88,99,91,83,93,85,92,84,100,103,112,107,104,111,109,105])).
% 117.27/117.32  cnf(5836,plain,
% 117.27/117.32     (P4(a6,a7,a8,a8,a8,a1,a6,a7)),
% 117.27/117.32     inference(scs_inference,[],[2461,98])).
% 117.27/117.32  cnf(5839,plain,
% 117.27/117.32     (~P4(a1,a1,a2,a1,a4,a7,a7,x58391)),
% 117.27/117.32     inference(rename_variables,[],[5758])).
% 117.27/117.32  cnf(5845,plain,
% 117.27/117.32     (~P4(a1,a7,a2,a8,a5,a7,a7,a1)),
% 117.27/117.32     inference(scs_inference,[],[5719,5758,5772,2461,3115,98,89,102,97,87])).
% 117.27/117.32  cnf(5848,plain,
% 117.27/117.32     (~P4(a7,a7,a2,a1,a3,a1,a7,x58481)),
% 117.27/117.32     inference(scs_inference,[],[5719,5758,5772,2461,3115,166,98,89,102,97,87,88])).
% 117.27/117.32  cnf(5850,plain,
% 117.27/117.32     (~P4(a1,a7,a2,a1,a2,a1,a7,x58501)),
% 117.27/117.32     inference(scs_inference,[],[5719,5758,5799,5772,2461,3115,166,98,89,102,97,87,88,94])).
% 117.27/117.32  cnf(5854,plain,
% 117.27/117.33     (~P4(a8,a8,a2,a1,a5,a7,a7,a7)),
% 117.27/117.33     inference(scs_inference,[],[5500,5719,5758,5799,5772,2461,3115,3779,166,98,89,102,97,87,88,94,99,91])).
% 117.27/117.33  cnf(5859,plain,
% 117.27/117.33     (~P4(a8,a1,a2,a1,a5,a7,a7,a7)),
% 117.27/117.33     inference(scs_inference,[],[5500,5605,5719,5758,5839,5799,5772,2461,3115,3779,166,98,89,102,97,87,88,94,99,91,83,93])).
% 117.27/117.33  cnf(5863,plain,
% 117.27/117.33     (~P4(a1,a1,a2,a1,a2,a2,a7,x58631)),
% 117.27/117.33     inference(scs_inference,[],[5500,5605,5695,5719,5758,5839,5797,5799,5772,2461,3115,3779,166,98,89,102,97,87,88,94,99,91,83,93,85,92])).
% 117.27/117.33  cnf(5887,plain,
% 117.27/117.33     (P4(a7,a7,a8,a2,a7,a1,a6,a7)),
% 117.27/117.33     inference(scs_inference,[],[1061,98])).
% 117.27/117.33  cnf(5890,plain,
% 117.27/117.33     (~P4(a7,a1,a2,a1,a2,a2,a7,x58901)),
% 117.27/117.33     inference(rename_variables,[],[5814])).
% 117.27/117.33  cnf(5897,plain,
% 117.27/117.33     (~P4(a7,a1,a2,a1,a2,a2,a7,x58971)),
% 117.27/117.33     inference(rename_variables,[],[5814])).
% 117.27/117.33  cnf(5899,plain,
% 117.27/117.33     (~P4(a7,a7,a2,a1,a2,a7,a7,x58991)),
% 117.27/117.33     inference(scs_inference,[],[5790,5814,5890,3658,1061,1120,98,89,102,97,87,88])).
% 117.27/117.33  cnf(5901,plain,
% 117.27/117.33     (~P4(a1,a1,a2,a1,a4,a1,a7,x59011)),
% 117.27/117.33     inference(scs_inference,[],[5790,5814,5890,5816,3658,1061,1120,98,89,102,97,87,88,94])).
% 117.27/117.33  cnf(5906,plain,
% 117.27/117.33     (~P4(a7,a1,a2,a1,a2,a2,a7,x59061)),
% 117.27/117.33     inference(rename_variables,[],[5814])).
% 117.27/117.33  cnf(5915,plain,
% 117.27/117.33     (~P4(a7,a1,a2,a1,a3,a1,a7,x59151)),
% 117.27/117.33     inference(scs_inference,[],[5790,5859,5754,5814,5890,5897,5906,5816,5848,3658,2518,1061,1120,98,89,102,97,87,88,94,99,91,83,93,85,92])).
% 117.27/117.33  cnf(5921,plain,
% 117.27/117.33     (P4(a1,a8,a8,a8,a8,a1,a7,a2)),
% 117.27/117.33     inference(scs_inference,[],[5729,5790,5859,5754,5814,5890,5897,5906,5816,5848,5836,3658,2518,1061,1120,58,98,89,102,97,87,88,94,99,91,83,93,85,92,84,100,103])).
% 117.27/117.33  cnf(5925,plain,
% 117.27/117.33     (P4(a8,a8,a7,a2,a1,a5,a7,a7)),
% 117.27/117.33     inference(scs_inference,[],[5729,3378,4533,5790,5859,5754,5814,5890,5897,5906,5816,5848,5836,3658,2518,1061,1120,69,58,98,89,102,97,87,88,94,99,91,83,93,85,92,84,100,103,112,107])).
% 117.27/117.33  cnf(5931,plain,
% 117.27/117.33     (~P4(a1,a7,a2,a1,a2,a7,a7,x59311)),
% 117.27/117.33     inference(scs_inference,[],[5729,3378,4358,4533,5790,5859,5754,5814,5890,5897,5906,5816,5848,5850,5836,3658,2518,1061,1120,15,69,71,58,59,98,89,102,97,87,88,94,99,91,83,93,85,92,84,100,103,112,107,104,111,105])).
% 117.27/117.33  cnf(5939,plain,
% 117.27/117.33     (P4(a8,a7,a8,a2,a7,a1,a6,a7)),
% 117.27/117.33     inference(scs_inference,[],[5887,1055,100,98])).
% 117.27/117.33  cnf(5941,plain,
% 117.27/117.33     (~P4(a1,a1,a8,a1,a5,a7,a7,a2)),
% 117.27/117.33     inference(scs_inference,[],[5832,5887,1055,100,98,89])).
% 117.27/117.33  cnf(5942,plain,
% 117.27/117.33     (~P4(a1,a1,a2,a1,a5,a7,a7,x59421)),
% 117.27/117.33     inference(rename_variables,[],[5832])).
% 117.27/117.33  cnf(5944,plain,
% 117.27/117.33     (P4(a8,a7,a7,a2,a1,a3,a7,a6)),
% 117.27/117.33     inference(scs_inference,[],[5832,5887,903,1055,100,98,89,102])).
% 117.27/117.33  cnf(5946,plain,
% 117.27/117.33     (~P4(a1,a1,a2,a8,a5,a7,a7,a1)),
% 117.27/117.33     inference(scs_inference,[],[5832,5942,5887,903,1055,100,98,89,102,87])).
% 117.27/117.33  cnf(5947,plain,
% 117.27/117.33     (~P4(a1,a1,a2,a1,a5,a7,a7,x59471)),
% 117.27/117.33     inference(rename_variables,[],[5832])).
% 117.27/117.33  cnf(5949,plain,
% 117.27/117.33     (P4(a8,a8,a1,a2,a1,a5,a7,a7)),
% 117.27/117.33     inference(scs_inference,[],[5832,5942,5887,5925,903,1055,100,98,89,102,87,97])).
% 117.27/117.33  cnf(5951,plain,
% 117.27/117.33     (~P4(a7,a7,a2,a1,a2,a5,a7,x59511)),
% 117.27/117.33     inference(scs_inference,[],[5832,5942,5887,5925,903,1055,1254,100,98,89,102,87,97,88])).
% 117.27/117.33  cnf(5953,plain,
% 117.27/117.33     (~P4(a1,a1,a2,a1,a3,a1,a7,x59531)),
% 117.27/117.33     inference(scs_inference,[],[5832,5942,5915,5887,5925,903,1055,1254,100,98,89,102,87,97,88,94])).
% 117.27/117.33  cnf(5955,plain,
% 117.27/117.33     (P4(a6,a1,a7,a2,a4,a6,a7,a6)),
% 117.27/117.33     inference(scs_inference,[],[5832,5942,5915,5887,5925,903,1055,912,1254,100,98,89,102,87,97,88,94,99])).
% 117.27/117.33  cnf(5957,plain,
% 117.27/117.33     (~P4(a1,a8,a2,a1,a5,a7,a7,a1)),
% 117.27/117.33     inference(scs_inference,[],[5832,5942,5947,5915,5887,5925,903,1055,912,1254,100,98,89,102,87,97,88,94,99,91])).
% 117.27/117.33  cnf(5958,plain,
% 117.27/117.33     (~P4(a1,a1,a2,a1,a5,a7,a7,x59581)),
% 117.27/117.33     inference(rename_variables,[],[5832])).
% 117.27/117.33  cnf(5963,plain,
% 117.27/117.33     (~P4(a8,a1,a2,a1,a5,a7,a7,a1)),
% 117.27/117.33     inference(scs_inference,[],[5832,5942,5947,5958,5863,5915,5887,5925,903,1055,912,1254,100,98,89,102,87,97,88,94,99,91,83,93])).
% 117.27/117.33  cnf(5964,plain,
% 117.27/117.33     (~P4(a1,a1,a2,a1,a5,a7,a7,x59641)),
% 117.27/117.33     inference(rename_variables,[],[5832])).
% 117.27/117.33  cnf(5966,plain,
% 117.27/117.33     (~P4(a1,a1,a2,a1,a8,a7,a7,a5)),
% 117.27/117.33     inference(scs_inference,[],[5832,5942,5947,5958,5964,5863,5915,5887,5925,903,1055,912,1254,100,98,89,102,87,97,88,94,99,91,83,93,85])).
% 117.27/117.33  cnf(5969,plain,
% 117.27/117.33     (~P4(a7,a1,a2,a1,a2,a7,a7,x59691)),
% 117.27/117.33     inference(scs_inference,[],[5832,5942,5947,5958,5964,5863,5899,5915,5887,5925,903,1055,912,1254,100,98,89,102,87,97,88,94,99,91,83,93,85,92])).
% 117.27/117.33  cnf(5975,plain,
% 117.27/117.33     (~P4(a7,a7,a2,a1,a2,a4,a7,x59751)),
% 117.27/117.33     inference(scs_inference,[],[4896,5832,5942,5947,5958,5964,5863,5899,5915,4884,5887,5925,903,1055,912,1254,70,59,100,98,89,102,87,97,88,94,99,91,83,93,85,92,84,103,112])).
% 117.27/117.33  cnf(5983,plain,
% 117.27/117.33     (~P4(a8,a8,a1,a8,a2,x59831,a2,a7)),
% 117.27/117.33     inference(scs_inference,[],[4896,4736,5010,5691,5832,5942,5947,5958,5964,5863,5899,5915,3243,4884,5887,5925,903,1055,912,1254,50,61,70,59,100,98,89,102,87,97,88,94,99,91,83,93,85,92,84,103,112,107,104,109,111])).
% 117.27/117.33  cnf(5985,plain,
% 117.27/117.33     (P4(a8,a7,a8,a8,a4,a8,a6,a2)),
% 117.27/117.33     inference(scs_inference,[],[4896,4736,5010,5691,5832,5942,5947,5958,5964,5863,5899,5915,3243,4884,5887,5925,903,1055,912,1254,50,61,70,59,100,98,89,102,87,97,88,94,99,91,83,93,85,92,84,103,112,107,104,109,111,96])).
% 117.27/117.33  cnf(5987,plain,
% 117.27/117.33     (P4(a1,a8,a1,a1,a1,a4,a2,a7)),
% 117.27/117.33     inference(scs_inference,[],[4896,4736,5010,5691,5832,5942,5947,5958,5964,5863,5899,5915,3243,4884,5887,5925,903,1055,912,1254,50,61,70,59,100,98,89,102,87,97,88,94,99,91,83,93,85,92,84,103,112,107,104,109,111,96,95])).
% 117.27/117.33  cnf(6001,plain,
% 117.27/117.33     (~P4(a1,a1,a8,a1,a4,a1,a7,a2)),
% 117.27/117.33     inference(scs_inference,[],[5939,5901,1064,100,98,89])).
% 117.27/117.33  cnf(6002,plain,
% 117.27/117.33     (~P4(a1,a1,a2,a1,a4,a1,a7,x60021)),
% 117.27/117.33     inference(rename_variables,[],[5901])).
% 117.27/117.33  cnf(6004,plain,
% 117.27/117.33     (P4(a8,a1,a7,a2,a4,a6,a7,a6)),
% 117.27/117.33     inference(scs_inference,[],[5939,5901,5955,1064,100,98,89,102])).
% 117.27/117.33  cnf(6006,plain,
% 117.27/117.33     (~P4(a1,a1,a2,a8,a4,a1,a7,a1)),
% 117.27/117.33     inference(scs_inference,[],[5939,5901,6002,5955,1064,100,98,89,102,87])).
% 117.27/117.33  cnf(6007,plain,
% 117.27/117.33     (~P4(a1,a1,a2,a1,a4,a1,a7,x60071)),
% 117.27/117.33     inference(rename_variables,[],[5901])).
% 117.27/117.33  cnf(6013,plain,
% 117.27/117.33     (~P4(a1,a7,a2,a1,a2,a5,a7,x60131)),
% 117.27/117.33     inference(scs_inference,[],[5939,5901,6002,5951,5983,5944,5955,1064,100,98,89,102,87,97,86,94])).
% 117.27/117.33  cnf(6015,plain,
% 117.27/117.33     (P4(a8,a1,a7,a2,a1,a3,a7,a6)),
% 117.27/117.33     inference(scs_inference,[],[5939,5901,6002,5951,5983,5944,5955,1064,100,98,89,102,87,97,86,94,99])).
% 117.27/117.33  cnf(6017,plain,
% 117.27/117.33     (~P4(a1,a8,a2,a1,a4,a1,a7,a1)),
% 117.27/117.33     inference(scs_inference,[],[5939,5901,6002,6007,5951,5983,5944,5955,1064,100,98,89,102,87,97,86,94,99,91])).
% 117.27/117.33  cnf(6018,plain,
% 117.27/117.33     (~P4(a1,a1,a2,a1,a4,a1,a7,x60181)),
% 117.27/117.33     inference(rename_variables,[],[5901])).
% 117.27/117.33  cnf(6021,plain,
% 117.27/117.33     (~P4(a1,a1,a2,a1,a4,a1,a7,x60211)),
% 117.27/117.33     inference(rename_variables,[],[5901])).
% 117.27/117.33  cnf(6023,plain,
% 117.27/117.33     (~P4(a8,a7,a2,a1,a2,a7,a7,a1)),
% 117.27/117.33     inference(scs_inference,[],[5939,5901,6002,6007,6018,5931,5951,5983,5944,5955,1064,100,98,89,102,87,97,86,94,99,91,83,93])).
% 117.27/117.33  cnf(6024,plain,
% 117.27/117.33     (~P4(a1,a7,a2,a1,a2,a7,a7,x60241)),
% 117.27/117.33     inference(rename_variables,[],[5931])).
% 117.27/117.33  cnf(6026,plain,
% 117.27/117.33     (~P4(a1,a1,a2,a1,a8,a1,a7,a4)),
% 117.27/117.33     inference(scs_inference,[],[5939,5901,6002,6007,6018,6021,5931,5951,5983,5944,5955,1064,100,98,89,102,87,97,86,94,99,91,83,93,85])).
% 117.27/117.33  cnf(6029,plain,
% 117.27/117.33     (~P4(a1,a1,a2,a1,a2,a7,a7,x60291)),
% 117.27/117.33     inference(scs_inference,[],[5939,5901,6002,6007,6018,6021,5931,6024,5951,5983,5944,5955,1064,100,98,89,102,87,97,86,94,99,91,83,93,85,92])).
% 117.27/117.33  cnf(6031,plain,
% 117.27/117.33     (~P4(a7,a1,a2,a1,a2,a1,a7,x60311)),
% 117.27/117.33     inference(scs_inference,[],[5939,5901,6002,6007,6018,6021,5931,6024,5951,5969,5983,5944,5955,1064,100,98,89,102,87,97,86,94,99,91,83,93,85,92,84])).
% 117.27/117.33  cnf(6035,plain,
% 117.27/117.33     (~P4(a1,a1,a2,a1,a3,a7,a7,x60351)),
% 117.27/117.33     inference(scs_inference,[],[5663,5939,5901,6002,6007,6018,6021,5931,6024,5951,5953,5969,5983,5944,5955,1064,36,57,100,98,89,102,87,97,86,94,99,91,83,93,85,92,84,108,105])).
% 117.27/117.33  cnf(6053,plain,
% 117.27/117.33     (P4(a7,a7,a8,a2,a8,a6,a6,a7)),
% 117.27/117.33     inference(scs_inference,[],[3875,812,100,98])).
% 117.27/117.33  cnf(6056,plain,
% 117.27/117.33     (~P4(a7,a7,a2,a1,a2,a4,a7,x60561)),
% 117.27/117.33     inference(rename_variables,[],[5975])).
% 117.27/117.33  cnf(6061,plain,
% 117.27/117.33     (~P4(a7,a7,a2,a1,a2,a4,a7,x60611)),
% 117.27/117.33     inference(rename_variables,[],[5975])).
% 117.27/117.33  cnf(6065,plain,
% 117.27/117.33     (~P4(a1,a7,a2,a1,a2,a4,a7,x60651)),
% 117.27/117.33     inference(scs_inference,[],[5975,6056,6061,6004,5509,3875,812,100,98,89,102,87,97,94])).
% 117.27/117.33  cnf(6068,plain,
% 117.27/117.33     (~P4(a7,a7,a2,a1,a2,a4,a7,x60681)),
% 117.27/117.33     inference(rename_variables,[],[5975])).
% 117.27/117.33  cnf(6070,plain,
% 117.27/117.33     (P4(a6,a1,a7,a1,a1,a8,a7,a7)),
% 117.27/117.33     inference(scs_inference,[],[5975,6056,6061,6004,5509,3875,812,3353,100,98,89,102,87,97,94,91,99])).
% 117.27/117.33  cnf(6073,plain,
% 117.27/117.33     (~P4(a7,a7,a2,a1,a2,a4,a7,x60731)),
% 117.27/117.33     inference(rename_variables,[],[5975])).
% 117.27/117.33  cnf(6076,plain,
% 117.27/117.33     (~P4(a7,a7,a2,a1,a2,a4,a7,x60761)),
% 117.27/117.33     inference(rename_variables,[],[5975])).
% 117.27/117.33  cnf(6079,plain,
% 117.27/117.33     (~P4(a7,a7,a2,a1,a2,a4,a7,x60791)),
% 117.27/117.33     inference(rename_variables,[],[5975])).
% 117.27/117.33  cnf(6081,plain,
% 117.27/117.33     (~P4(a7,a1,a2,a1,a2,a4,a7,x60811)),
% 117.27/117.33     inference(scs_inference,[],[5975,6056,6061,6068,6073,6076,6079,6004,5509,3875,812,3353,100,98,89,102,87,97,94,91,99,83,93,85,92])).
% 117.27/117.33  cnf(6083,plain,
% 117.27/117.33     (~P4(a1,a1,a2,a1,a2,a1,a7,x60831)),
% 117.27/117.33     inference(scs_inference,[],[5975,6056,6061,6068,6073,6076,6079,6029,6004,5509,3875,812,3353,100,98,89,102,87,97,94,91,99,83,93,85,92,84])).
% 117.27/117.33  cnf(6089,plain,
% 117.27/117.33     (~P4(a1,a1,a2,a1,a2,a5,a7,x60891)),
% 117.27/117.33     inference(scs_inference,[],[5723,4906,5975,6056,6061,6068,6073,6076,6079,6029,6004,5509,3875,812,3353,72,60,100,98,89,102,87,97,94,91,99,83,93,85,92,84,108,103,112])).
% 117.27/117.33  cnf(6097,plain,
% 117.27/117.33     (~P4(a1,a7,a2,a1,a3,a5,a7,x60971)),
% 117.27/117.33     inference(scs_inference,[],[5723,4906,5985,5987,5975,6056,6061,6068,6073,6076,6079,6013,6029,3270,6004,5509,3875,812,3353,22,67,72,57,60,100,98,89,102,87,97,94,91,99,83,93,85,92,84,108,103,112,107,104,109,111])).
% 117.27/117.33  cnf(6107,plain,
% 117.27/117.33     (P4(a7,a7,a8,a2,a7,a7,a6,a7)),
% 117.27/117.33     inference(scs_inference,[],[6053,776,100,98])).
% 117.27/117.33  cnf(6114,plain,
% 117.27/117.33     (~P4(a7,a1,a2,a8,a2,a1,a7,a1)),
% 117.27/117.33     inference(scs_inference,[],[6031,6065,6053,5801,776,100,98,89,102,87])).
% 117.27/117.33  cnf(6115,plain,
% 117.27/117.33     (~P4(a7,a1,a2,a1,a2,a1,a7,x61151)),
% 117.27/117.33     inference(rename_variables,[],[6031])).
% 117.27/117.33  cnf(6119,plain,
% 117.27/117.33     (~P4(a1,a1,a2,a1,a2,a4,a7,x61191)),
% 117.27/117.33     inference(scs_inference,[],[6031,6065,6081,6053,5801,2283,776,100,98,89,102,87,97,94])).
% 117.27/117.33  cnf(6121,plain,
% 117.27/117.33     (~P4(a7,a8,a2,a1,a2,a1,a7,a1)),
% 117.27/117.33     inference(scs_inference,[],[6031,6115,6065,6081,6053,5801,2283,776,100,98,89,102,87,97,94,91])).
% 117.27/117.33  cnf(6122,plain,
% 117.27/117.33     (~P4(a7,a1,a2,a1,a2,a1,a7,x61221)),
% 117.27/117.33     inference(rename_variables,[],[6031])).
% 117.27/117.33  cnf(6124,plain,
% 117.27/117.33     (P4(a6,a1,a7,a2,a5,a6,a7,a6)),
% 117.27/117.33     inference(scs_inference,[],[6031,6115,6065,6081,6053,5801,2283,776,909,100,98,89,102,87,97,94,91,99])).
% 117.27/117.33  cnf(6127,plain,
% 117.27/117.33     (~P4(a7,a1,a2,a1,a2,a1,a7,x61271)),
% 117.27/117.33     inference(rename_variables,[],[6031])).
% 117.27/117.33  cnf(6129,plain,
% 117.27/117.33     (~P4(a8,a1,a2,a1,a2,a1,a7,a7)),
% 117.27/117.33     inference(scs_inference,[],[6031,6115,6122,6127,6065,6081,6053,5801,2283,776,909,100,98,89,102,87,97,94,91,99,83,93])).
% 117.27/117.33  cnf(6130,plain,
% 117.27/117.33     (~P4(a7,a1,a2,a1,a2,a1,a7,x61301)),
% 117.27/117.33     inference(rename_variables,[],[6031])).
% 117.27/117.33  cnf(6132,plain,
% 117.27/117.33     (~P4(a7,a1,a2,a1,a8,a1,a7,a2)),
% 117.27/117.33     inference(scs_inference,[],[6031,6115,6122,6127,6130,6065,6081,6053,5801,2283,776,909,100,98,89,102,87,97,94,91,99,83,93,85])).
% 117.27/117.33  cnf(6143,plain,
% 117.27/117.33     (P4(a7,a7,a8,a2,a8,a7,a6,a7)),
% 117.27/117.33     inference(scs_inference,[],[5228,6031,6115,6122,6127,6130,6065,6081,2856,4903,6006,6053,5801,2283,776,909,30,43,60,100,98,89,102,87,97,94,91,99,83,93,85,92,84,108,105,110])).
% 117.27/117.33  cnf(6151,plain,
% 117.27/117.33     (P4(a8,a1,a7,a2,a4,a8,a7,a7)),
% 117.27/117.33     inference(scs_inference,[],[5228,4049,5511,4077,6031,6115,6122,6127,6130,6065,6081,2856,4903,6006,6053,5801,2283,776,909,30,43,72,58,60,59,100,98,89,102,87,97,94,91,99,83,93,85,92,84,108,105,110,103,112,107,104])).
% 117.27/117.33  cnf(6153,plain,
% 117.27/117.33     (P4(a8,a1,a7,a2,a6,a8,a7,a6)),
% 117.27/117.33     inference(scs_inference,[],[5228,4049,5511,4077,6031,6115,6122,6127,6130,6065,6081,2856,4903,6006,6053,5801,2283,776,909,30,43,69,72,58,60,59,100,98,89,102,87,97,94,91,99,83,93,85,92,84,108,105,110,103,112,107,104,111])).
% 117.27/117.33  cnf(6157,plain,
% 117.27/117.33     (P4(a8,a8,a8,a1,a1,a5,a2,a7)),
% 117.27/117.33     inference(scs_inference,[],[5228,4049,5511,4077,6031,6115,6122,6127,6130,6065,6081,2856,4903,6006,6053,5801,2283,776,909,30,43,69,72,58,60,59,100,98,89,102,87,97,94,91,99,83,93,85,92,84,108,105,110,103,112,107,104,111,106,95])).
% 117.27/117.33  cnf(6159,plain,
% 117.27/117.33     (P4(a8,a8,a8,a2,a1,a8,a7,a7)),
% 117.27/117.33     inference(scs_inference,[],[5228,4049,5511,4077,6031,6115,6122,6127,6130,6065,6081,2856,4903,6006,6053,5801,2283,776,909,30,43,69,72,58,60,59,100,98,89,102,87,97,94,91,99,83,93,85,92,84,108,105,110,103,112,107,104,111,106,95,204])).
% 117.27/117.33  cnf(6163,plain,
% 117.27/117.33     (P4(a7,a8,a8,a2,a8,a7,a6,a7)),
% 117.27/117.33     inference(scs_inference,[],[6143,100])).
% 117.27/117.33  cnf(6167,plain,
% 117.27/117.33     (~P4(a1,a1,a8,a1,a2,a1,a7,a2)),
% 117.27/117.33     inference(scs_inference,[],[6143,6083,6151,100,98,89])).
% 117.27/117.33  cnf(6170,plain,
% 117.27/117.33     (P4(a8,a7,a8,a2,a8,a7,a6,a7)),
% 117.27/117.33     inference(scs_inference,[],[6143,6083,6151,100,98,89,102])).
% 117.27/117.33  cnf(6172,plain,
% 117.27/117.33     (~P4(a1,a1,a2,a8,a3,a7,a7,a1)),
% 117.27/117.33     inference(scs_inference,[],[6143,6035,6083,6151,100,98,89,102,87])).
% 117.27/117.33  cnf(6173,plain,
% 117.27/117.33     (~P4(a1,a1,a2,a1,a3,a7,a7,x61731)),
% 117.27/117.33     inference(rename_variables,[],[6035])).
% 117.27/117.33  cnf(6175,plain,
% 117.27/117.33     (P4(a6,a1,a1,a2,a5,a6,a7,a6)),
% 117.27/117.33     inference(scs_inference,[],[6143,6035,6083,6124,6151,100,98,89,102,87,97])).
% 117.27/117.33  cnf(6180,plain,
% 117.27/117.33     (~P4(a1,a1,a2,a1,a3,a7,a7,x61801)),
% 117.27/117.33     inference(rename_variables,[],[6035])).
% 117.27/117.33  cnf(6182,plain,
% 117.27/117.33     (P4(a7,a1,a7,a2,a8,a1,a7,a7)),
% 117.27/117.33     inference(scs_inference,[],[6143,6035,6173,6083,3038,6124,6151,2228,100,98,89,102,87,97,94,91,99])).
% 117.27/117.33  cnf(6185,plain,
% 117.27/117.33     (~P4(a1,a1,a2,a1,a3,a7,a7,x61851)),
% 117.27/117.33     inference(rename_variables,[],[6035])).
% 117.27/117.33  cnf(6187,plain,
% 117.27/117.33     (~P4(a8,a1,a2,a1,a3,a7,a7,a1)),
% 117.27/117.33     inference(scs_inference,[],[6143,6035,6173,6180,6185,6083,3038,6124,6151,2228,100,98,89,102,87,97,94,91,99,83,93])).
% 117.27/117.33  cnf(6188,plain,
% 117.27/117.33     (~P4(a1,a1,a2,a1,a3,a7,a7,x61881)),
% 117.27/117.33     inference(rename_variables,[],[6035])).
% 117.27/117.33  cnf(6192,plain,
% 117.27/117.33     (~P4(a1,a1,a2,a1,a8,a7,a7,a3)),
% 117.27/117.33     inference(scs_inference,[],[6143,6035,6173,6180,6185,6188,6083,3038,6124,6151,2228,100,98,89,102,87,97,94,91,99,83,93,92,85])).
% 117.27/117.33  cnf(6201,plain,
% 117.27/117.33     (~P4(a1,a7,a2,a1,a3,a7,a7,x62011)),
% 117.27/117.33     inference(scs_inference,[],[4698,5206,6143,4996,6035,6173,6180,6185,6188,6083,6097,3038,6124,6151,2228,66,58,59,100,98,89,102,87,97,94,91,99,83,93,92,85,84,108,103,112])).
% 117.27/117.33  cnf(6205,plain,
% 117.27/117.33     (P4(a8,a1,a7,a8,a1,a8,a7,a7)),
% 117.27/117.33     inference(scs_inference,[],[4698,5206,3987,4795,6143,4996,6035,6173,6180,6185,6188,6083,6097,3038,6124,6151,2228,66,58,59,100,98,89,102,87,97,94,91,99,83,93,92,85,84,108,103,112,107,104])).
% 117.27/117.33  cnf(6211,plain,
% 117.27/117.33     (P4(a7,a8,a8,a8,a8,a1,a6,a2)),
% 117.27/117.33     inference(scs_inference,[],[4698,5206,3987,4795,6143,4996,6035,6173,6180,6185,6188,6083,6097,3038,3384,6124,6151,2228,36,66,61,58,59,100,98,89,102,87,97,94,91,99,83,93,92,85,84,108,103,112,107,104,109,111,96])).
% 117.27/117.33  cnf(6213,plain,
% 117.27/117.33     (P4(a1,a8,a1,a1,a1,a5,a2,a7)),
% 117.27/117.33     inference(scs_inference,[],[4698,5206,3987,4795,6143,4996,6035,6173,6180,6185,6188,6083,6097,3038,3384,6124,6151,2228,36,66,61,58,59,100,98,89,102,87,97,94,91,99,83,93,92,85,84,108,103,112,107,104,109,111,96,95])).
% 117.27/117.33  cnf(6219,plain,
% 117.27/117.33     (P4(a8,a8,a8,a2,a8,a7,a6,a7)),
% 117.27/117.33     inference(scs_inference,[],[6170,100])).
% 117.27/117.33  cnf(6224,plain,
% 117.27/117.33     (~P4(a1,a1,a2,a1,a2,a5,a7,x62241)),
% 117.27/117.33     inference(rename_variables,[],[6089])).
% 117.27/117.33  cnf(6229,plain,
% 117.27/117.33     (~P4(a1,a1,a2,a1,a2,a5,a7,x62291)),
% 117.27/117.33     inference(rename_variables,[],[6089])).
% 117.27/117.33  cnf(6236,plain,
% 117.27/117.33     (~P4(a1,a1,a2,a1,a2,a5,a7,x62361)),
% 117.27/117.33     inference(rename_variables,[],[6089])).
% 117.27/117.33  cnf(6238,plain,
% 117.27/117.33     (P4(a7,a1,a7,a2,a8,a1,a7,a6)),
% 117.27/117.33     inference(scs_inference,[],[6089,6224,6229,3097,6153,6170,6175,6182,2285,100,98,89,102,87,97,94,91,99])).
% 117.27/117.33  cnf(6241,plain,
% 117.27/117.33     (~P4(a1,a1,a2,a1,a2,a5,a7,x62411)),
% 117.27/117.33     inference(rename_variables,[],[6089])).
% 117.27/117.33  cnf(6244,plain,
% 117.27/117.33     (~P4(a1,a1,a2,a1,a2,a5,a7,x62441)),
% 117.27/117.33     inference(rename_variables,[],[6089])).
% 117.27/117.33  cnf(6251,plain,
% 117.27/117.33     (~P4(a1,a7,a2,a1,a3,a1,a7,x62511)),
% 117.27/117.33     inference(scs_inference,[],[6089,6224,6229,6236,6241,6244,6201,3097,6153,6170,6175,6182,2285,100,98,89,102,87,97,94,91,99,83,93,92,85,84])).
% 117.27/117.33  cnf(6265,plain,
% 117.27/117.33     (P4(a8,a1,a7,a2,a2,a8,a7,a6)),
% 117.27/117.33     inference(scs_inference,[],[5458,3897,4966,6159,4047,4248,6089,6224,6229,6236,6241,6244,6201,3097,6017,6153,6170,6175,6182,2285,43,69,71,58,60,59,100,98,89,102,87,97,94,91,99,83,93,92,85,84,108,105,103,112,107,104,111])).
% 117.27/117.33  cnf(6267,plain,
% 117.27/117.33     (P4(a8,a8,a8,a1,a1,a8,a2,a7)),
% 117.27/117.33     inference(scs_inference,[],[5458,3897,4966,6159,4047,4248,6089,6224,6229,6236,6241,6244,6201,3097,6017,6153,6170,6175,6182,2285,43,69,71,58,60,59,100,98,89,102,87,97,94,91,99,83,93,92,85,84,108,105,103,112,107,104,111,95])).
% 117.27/117.33  cnf(6278,plain,
% 117.27/117.33     (~P4(a1,a1,a2,a1,a2,a4,a7,x62781)),
% 117.27/117.33     inference(rename_variables,[],[6119])).
% 117.27/117.33  cnf(6280,plain,
% 117.27/117.33     (P4(a8,a7,a8,a2,a7,a7,a6,a7)),
% 117.27/117.33     inference(scs_inference,[],[6119,6205,6107,100,98,89,102])).
% 117.27/117.33  cnf(6283,plain,
% 117.27/117.33     (~P4(a1,a1,a2,a1,a2,a4,a7,x62831)),
% 117.27/117.33     inference(rename_variables,[],[6119])).
% 117.27/117.33  cnf(6290,plain,
% 117.27/117.33     (~P4(a1,a1,a2,a1,a2,a4,a7,x62901)),
% 117.27/117.33     inference(rename_variables,[],[6119])).
% 117.27/117.33  cnf(6292,plain,
% 117.27/117.33     (P4(a6,a1,a7,a2,a7,a8,a7,a7)),
% 117.27/117.33     inference(scs_inference,[],[6119,6278,6283,3151,6205,6238,6107,2212,100,98,89,102,87,97,94,91,99])).
% 117.27/117.33  cnf(6295,plain,
% 117.27/117.33     (~P4(a1,a1,a2,a1,a2,a4,a7,x62951)),
% 117.27/117.33     inference(rename_variables,[],[6119])).
% 117.27/117.33  cnf(6298,plain,
% 117.27/117.33     (~P4(a1,a1,a2,a1,a2,a4,a7,x62981)),
% 117.27/117.33     inference(rename_variables,[],[6119])).
% 117.27/117.33  cnf(6309,plain,
% 117.27/117.33     (P4(a1,a1,a1,a2,a8,a1,a6,a7)),
% 117.27/117.33     inference(scs_inference,[],[4604,4582,6119,6278,6283,6290,6295,6298,3151,4919,6205,6238,6107,2212,60,100,98,89,102,87,97,94,91,99,83,93,92,85,84,108,103])).
% 117.27/117.33  cnf(6321,plain,
% 117.27/117.33     (P4(a7,a8,a8,a2,a7,a8,a6,a7)),
% 117.27/117.33     inference(scs_inference,[],[4604,4204,4582,6157,5293,6119,6278,6283,6290,6295,6298,2504,3151,3391,4919,6205,6238,6107,2212,30,22,65,61,57,60,59,100,98,89,102,87,97,94,91,99,83,93,92,85,84,108,103,112,107,104,109,111,106])).
% 117.27/117.33  cnf(6323,plain,
% 117.27/117.33     (P4(a8,a7,a8,a2,a7,a8,a6,a7)),
% 117.27/117.33     inference(scs_inference,[],[4604,4204,4582,6157,5293,6119,6278,6283,6290,6295,6298,2504,3151,3391,4919,6205,6238,6107,2212,30,22,65,61,57,60,59,100,98,89,102,87,97,94,91,99,83,93,92,85,84,108,103,112,107,104,109,111,106,237])).
% 117.27/117.33  cnf(6325,plain,
% 117.27/117.33     (P4(a8,a1,a1,a8,a5,a8,a7,a2)),
% 117.27/117.33     inference(scs_inference,[],[4604,4204,4582,6157,5293,6119,6278,6283,6290,6295,6298,2504,3151,3391,4919,6205,6238,6107,2212,30,22,65,61,57,60,59,100,98,89,102,87,97,94,91,99,83,93,92,85,84,108,103,112,107,104,109,111,106,237,96])).
% 117.27/117.33  cnf(6334,plain,
% 117.27/117.33     (~P4(a1,a7,a2,a1,a3,a1,a7,x63341)),
% 117.27/117.33     inference(rename_variables,[],[6251])).
% 117.27/117.33  cnf(6336,plain,
% 117.27/117.33     (P4(a8,a8,a8,a2,a7,a8,a6,a7)),
% 117.27/117.33     inference(scs_inference,[],[6321,6251,6280,6292,100,98,89,102])).
% 117.27/117.33  cnf(6339,plain,
% 117.27/117.33     (~P4(a1,a7,a2,a1,a3,a1,a7,x63391)),
% 117.27/117.33     inference(rename_variables,[],[6251])).
% 117.27/117.33  cnf(6344,plain,
% 117.27/117.33     (~P4(a1,a7,a2,a1,a3,a1,a7,x63441)),
% 117.27/117.33     inference(rename_variables,[],[6251])).
% 117.27/117.33  cnf(6348,plain,
% 117.27/117.33     (P4(a6,a1,a7,a2,a7,a6,a7,a6)),
% 117.27/117.33     inference(scs_inference,[],[6321,6251,6334,6339,3331,6265,6280,6292,670,100,98,89,102,87,97,91,94,99])).
% 117.27/117.33  cnf(6361,plain,
% 117.27/117.33     (P4(a7,a8,a8,a8,a8,a1,a6,a7)),
% 117.27/117.33     inference(scs_inference,[],[6211,2561,3035,6321,6251,6334,6339,6344,3331,5845,6265,6280,6292,670,57,100,98,89,102,87,97,91,94,99,83,93,92,85,84,108])).
% 117.27/117.33  cnf(6375,plain,
% 117.27/117.33     (P4(a6,a1,a8,a2,a8,a1,a7,a7)),
% 117.27/117.33     inference(scs_inference,[],[5680,6211,6213,6267,2561,3035,6321,6251,6334,6339,6344,3331,5845,6026,6265,6280,6292,670,8,72,57,58,59,100,98,89,102,87,97,91,94,99,83,93,92,85,84,108,105,103,112,107,104,111,575])).
% 117.27/117.33  cnf(6377,plain,
% 117.27/117.33     (P4(a1,a8,a1,a1,a1,a8,a2,a7)),
% 117.27/117.33     inference(scs_inference,[],[5680,6211,6213,6267,2561,3035,6321,6251,6334,6339,6344,3331,5845,6026,6265,6280,6292,670,8,72,57,58,59,100,98,89,102,87,97,91,94,99,83,93,92,85,84,108,105,103,112,107,104,111,575,204])).
% 117.27/117.33  cnf(6385,plain,
% 117.27/117.33     (P4(a7,a7,a8,a2,a7,a6,a6,a7)),
% 117.27/117.33     inference(scs_inference,[],[4988,809,100,98])).
% 117.27/117.33  cnf(6387,plain,
% 117.27/117.33     (~P4(a7,a7,a8,a7,a8,a5,a6,a2)),
% 117.27/117.33     inference(scs_inference,[],[2832,4988,809,100,98,89])).
% 117.27/117.33  cnf(6389,plain,
% 117.27/117.33     (P4(a8,a1,a7,a2,a7,a6,a7,a6)),
% 117.27/117.33     inference(scs_inference,[],[2832,6348,4988,809,100,98,89,102])).
% 117.27/117.33  cnf(6399,plain,
% 117.27/117.33     (P4(a1,a1,a7,a2,a7,a1,a7,a7)),
% 117.27/117.33     inference(scs_inference,[],[2611,2832,3020,3470,6348,4988,809,4226,100,98,89,102,87,97,91,94,99])).
% 117.27/117.33  cnf(6425,plain,
% 117.27/117.33     (P4(a8,a1,a7,a2,a7,a8,a7,a6)),
% 117.27/117.33     inference(scs_inference,[],[5776,5069,5244,6163,6325,2444,2597,2611,2751,2832,3020,3405,3470,5854,6348,4988,809,4226,30,8,61,70,57,60,100,98,89,102,87,97,91,94,99,83,93,92,85,84,108,103,112,107,104,109,111,106])).
% 117.27/117.33  cnf(6431,plain,
% 117.27/117.33     (P4(a8,a1,a7,a2,a1,a8,a7,a6)),
% 117.27/117.33     inference(scs_inference,[],[5776,5069,5244,6163,6325,2444,2597,2611,2751,2832,3020,3405,3470,5854,6348,4988,809,4226,30,8,61,70,57,60,100,98,89,102,87,97,91,94,99,83,93,92,85,84,108,103,112,107,104,109,111,106,339,165,204])).
% 117.27/117.33  cnf(6435,plain,
% 117.27/117.33     (P4(a7,a8,a8,a2,a7,a6,a6,a7)),
% 117.27/117.33     inference(scs_inference,[],[6385,100])).
% 117.27/117.33  cnf(6447,plain,
% 117.27/117.33     (~P4(a7,a8,a2,a7,a8,a4,a6,a7)),
% 117.27/117.33     inference(scs_inference,[],[2688,2994,3160,6361,6385,6389,6399,100,98,89,102,87,97,91])).
% 117.27/117.33  cnf(6451,plain,
% 117.27/117.33     (P4(a7,a1,a7,a2,a7,a1,a7,a7)),
% 117.27/117.33     inference(scs_inference,[],[2688,2994,3160,3616,6361,6385,6389,6399,2216,100,98,89,102,87,97,91,94,99])).
% 117.27/117.33  cnf(6467,plain,
% 117.27/117.33     (~P4(a7,a8,a2,a7,a7,a4,a6,a7)),
% 117.42/117.33     inference(scs_inference,[],[6219,2622,2688,2994,3160,3462,3515,3616,5941,6114,6361,6385,6389,6399,2216,15,44,59,100,98,89,102,87,97,91,94,99,83,93,92,85,84,108,105,110])).
% 117.42/117.33  cnf(6475,plain,
% 117.42/117.33     (P4(a8,a7,a8,a2,a7,a8,a6,a2)),
% 117.42/117.33     inference(scs_inference,[],[6219,6323,5921,6377,4414,2622,2688,2994,3160,3462,3515,3616,5941,6114,6361,6385,6389,6399,2216,15,44,69,57,59,100,98,89,102,87,97,91,94,99,83,93,92,85,84,108,105,110,103,112,107,104])).
% 117.42/117.33  cnf(6479,plain,
% 117.42/117.33     (P4(a8,a8,a8,a8,a6,a8,a6,a7)),
% 117.42/117.33     inference(scs_inference,[],[6219,6323,5921,4994,6377,4414,2622,2688,2994,3160,3462,3515,3616,5941,6114,6361,6385,6389,6399,2216,15,44,22,69,57,59,100,98,89,102,87,97,91,94,99,83,93,92,85,84,108,105,110,103,112,107,104,109,111])).
% 117.42/117.33  cnf(6481,plain,
% 117.42/117.33     (P4(a8,a8,a8,a8,a8,a7,a6,a2)),
% 117.42/117.33     inference(scs_inference,[],[6219,6323,5921,4994,6377,4414,2622,2688,2994,3160,3462,3515,3616,5941,6114,6361,6385,6389,6399,2216,15,44,22,69,57,59,100,98,89,102,87,97,91,94,99,83,93,92,85,84,108,105,110,103,112,107,104,109,111,96])).
% 117.42/117.33  cnf(6485,plain,
% 117.42/117.33     (P4(a8,a7,a8,a8,a7,a8,a6,a2)),
% 117.42/117.33     inference(scs_inference,[],[6475,96])).
% 117.42/117.33  cnf(6515,plain,
% 117.42/117.33     (P4(a7,a1,a1,a2,a8,a1,a7,a7)),
% 117.42/117.33     inference(scs_inference,[],[6375,4351,2680,2749,3492,3618,3668,3764,5946,6435,6451,6475,5157,1,60,96,100,98,89,102,87,97,91,94,83,93,92,85,84,108,110])).
% 117.42/117.33  cnf(6517,plain,
% 117.42/117.33     (P4(a6,a1,a8,a2,a8,a1,a6,a7)),
% 117.42/117.33     inference(scs_inference,[],[6375,4351,2680,2749,3492,3618,3668,3764,5946,6435,6451,6475,5157,1,60,96,100,98,89,102,87,97,91,94,83,93,92,85,84,108,110,103])).
% 117.42/117.33  cnf(6523,plain,
% 117.42/117.33     (P4(a8,a1,a7,a2,a7,a8,a7,a7)),
% 117.42/117.33     inference(scs_inference,[],[6015,6375,6425,2975,4351,2680,2749,3492,3618,3668,3764,5946,6435,6451,6475,5157,1,67,58,60,96,100,98,89,102,87,97,91,94,83,93,92,85,84,108,110,103,112,107,104])).
% 117.42/117.33  cnf(6529,plain,
% 117.42/117.33     (P4(a8,a1,a7,a2,a8,a1,a7,a7)),
% 117.42/117.33     inference(scs_inference,[],[6015,6375,6001,6425,2975,4351,2680,2749,3408,3492,3618,3668,3764,5946,6435,6451,6475,3877,5157,1,36,67,58,60,96,100,98,89,102,87,97,91,94,83,93,92,85,84,108,110,103,112,107,104,109,111,575])).
% 117.42/117.33  cnf(6539,plain,
% 117.42/117.33     (P4(a7,a8,a7,a2,a8,a4,a6,a7)),
% 117.42/117.33     inference(scs_inference,[],[5957,802,84,100])).
% 117.42/117.33  cnf(6541,plain,
% 117.42/117.33     (P4(a1,a1,a8,a2,a8,a1,a6,a7)),
% 117.42/117.33     inference(scs_inference,[],[5957,6517,802,84,100,101])).
% 117.42/117.33  cnf(6569,plain,
% 117.42/117.33     (P4(a8,a8,a8,a8,a8,a7,a6,a7)),
% 117.42/117.33     inference(scs_inference,[],[6481,2399,2743,2809,3467,3528,3700,3850,3921,4182,5957,6517,6523,5006,802,1,71,57,84,100,101,98,89,102,87,97,91,94,83,93,92,85,111,106,108])).
% 117.42/117.33  cnf(6575,plain,
% 117.42/117.33     (P4(a8,a8,a7,a2,a2,a2,a6,a7)),
% 117.42/117.33     inference(scs_inference,[],[5343,4365,6481,2399,2743,2809,3467,3528,3700,3850,3921,4182,5957,6121,6517,6523,5006,802,15,1,71,57,60,84,100,101,98,89,102,87,97,91,94,83,93,92,85,111,106,108,105,103,112])).
% 117.42/117.33  cnf(6583,plain,
% 117.42/117.33     (P4(a8,a1,a7,a1,a1,a8,a2,a6)),
% 117.42/117.33     inference(scs_inference,[],[6336,6431,5343,4365,6481,2399,2743,2809,3467,3528,3700,3850,3921,4182,5957,6121,6479,6517,6523,5006,802,15,1,8,71,57,59,60,84,100,101,98,89,102,87,97,91,94,83,93,92,85,111,106,108,105,103,112,107,104,109,95])).
% 117.42/117.33  cnf(6591,plain,
% 117.42/117.33     (P4(a7,a8,a7,a2,a4,a8,a6,a7)),
% 117.42/117.33     inference(scs_inference,[],[5963,1002,84,100])).
% 117.42/117.33  cnf(6599,plain,
% 117.42/117.33     (~P4(a7,a8,a2,a8,a7,a4,a6,a7)),
% 117.42/117.33     inference(scs_inference,[],[6467,3553,5963,6539,6575,1002,84,100,98,89,102,87])).
% 117.42/117.33  cnf(6625,plain,
% 117.42/117.33     (P4(a6,a1,a7,a1,a1,a8,a2,a7)),
% 117.42/117.33     inference(scs_inference,[],[6070,4639,6515,5506,6387,5682,6467,3553,3868,3945,4220,4525,5963,6539,6575,1002,6292,23,62,65,59,84,100,98,89,102,87,97,91,94,83,93,92,85,111,108,110,103,112,107])).
% 117.42/117.33  cnf(6627,plain,
% 117.42/117.33     (P4(a8,a7,a8,a8,a7,a8,a6,a7)),
% 117.42/117.33     inference(scs_inference,[],[6070,4639,6515,5506,6387,6485,5682,6467,3553,3868,3945,4220,4525,5963,6539,6575,1002,6292,23,62,65,57,59,84,100,98,89,102,87,97,91,94,83,93,92,85,111,108,110,103,112,107,104])).
% 117.42/117.33  cnf(6637,plain,
% 117.42/117.33     (~P4(a8,a1,a2,a1,a2,a7,a7,a7)),
% 117.42/117.33     inference(scs_inference,[],[6070,4639,6515,5506,6387,4011,6485,5682,6467,3553,3868,3945,4220,4525,5963,6129,6539,6569,6575,1002,6292,23,15,8,62,65,57,59,84,100,98,89,102,87,97,91,94,83,93,92,85,111,108,110,103,112,107,104,109,95,96,106,105])).
% 117.42/117.33  cnf(6649,plain,
% 117.42/117.33     (~P4(a7,a8,a2,a8,a8,a4,a6,a7)),
% 117.42/117.33     inference(scs_inference,[],[4040,6447,5966,6591,6625,6627,84,100,98,89,102,87])).
% 117.42/117.33  cnf(6651,plain,
% 117.42/117.33     (P4(a1,a7,a1,a2,a8,a1,a7,a7)),
% 117.42/117.33     inference(scs_inference,[],[4040,6447,5966,6591,6625,6627,3755,84,100,98,89,102,87,97])).
% 117.42/117.33  cnf(6663,plain,
% 117.42/117.33     (~P4(a1,a1,a2,a8,a8,a4,a7,a1)),
% 117.42/117.33     inference(scs_inference,[],[4040,6447,6637,2813,3996,4005,4702,5966,6591,6625,6627,3755,84,100,98,89,102,87,97,91,94,83,93,92,85])).
% 117.42/117.33  cnf(6675,plain,
% 117.42/117.33     (P4(a6,a8,a1,a8,a1,a8,a2,a6)),
% 117.42/117.33     inference(scs_inference,[],[6309,4184,6529,4928,5949,4040,6447,6637,2586,2813,3996,4005,4702,5966,6591,6625,6627,3755,62,72,60,84,100,98,89,102,87,97,91,94,83,93,92,85,111,108,103,112,107,104])).
% 117.42/117.33  cnf(6701,plain,
% 117.42/117.33     (P4(a6,a7,a1,a1,a1,a4,a7,a6)),
% 117.42/117.33     inference(scs_inference,[],[4069,4282,6023,6651,6675,801,2405,84,100,98,89,102,87,97])).
% 117.42/117.33  cnf(6705,plain,
% 117.42/117.33     (~P4(a1,a7,a2,a1,a5,a8,a7,a4)),
% 117.42/117.33     inference(scs_inference,[],[2868,4069,4282,4803,6023,6651,6675,801,2405,84,100,98,89,102,87,97,91,94])).
% 117.42/117.33  cnf(6725,plain,
% 117.42/117.33     (P4(a8,a1,a7,a1,a1,a8,a7,a6)),
% 117.42/117.33     inference(scs_inference,[],[5238,2851,6583,3934,6599,2868,4065,4069,4282,4345,4684,4803,6023,6132,6651,6675,801,2405,8,63,67,57,59,84,100,98,89,102,87,97,91,94,83,93,92,85,111,108,105,103,112,107])).
% 117.42/117.33  cnf(6767,plain,
% 117.42/117.33     (~P4(a1,a8,a2,a8,a1,a4,a7,a1)),
% 117.42/117.33     inference(scs_inference,[],[6541,6649,6663,2636,4101,4396,4705,4844,5230,5408,6172,6701,6705,6725,1023,2291,51,44,71,59,84,100,98,89,102,87,97,91,94,83,93,92,85,111,106,108,110])).
% 117.42/117.33  cnf(6831,plain,
% 117.42/117.33     (P4(a7,a8,a7,a2,a8,a1,a6,a7)),
% 117.42/117.33     inference(scs_inference,[],[6187,1079,84,100])).
% 117.42/117.33  cnf(6833,plain,
% 117.42/117.33     (P4(a8,a7,a8,a2,a4,a6,a6,a7)),
% 117.42/117.33     inference(scs_inference,[],[6187,1079,1066,84,100,98])).
% 117.42/117.33  cnf(6898,plain,
% 117.42/117.33     ($false),
% 117.42/117.33     inference(scs_inference,[],[6767,6167,2990,4764,4914,5364,5567,5811,6192,6831,6833,3877,892,3115,84,100,98,89,87,102,97,91,94,83,93,92,85]),
% 117.42/117.33     ['proof']).
% 117.42/117.33  % SZS output end Proof
% 117.42/117.33  % Total time :116.510000s
%------------------------------------------------------------------------------