TSTP Solution File: SWV463+1 by CSE---1.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE---1.6
% Problem  : SWV463+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d

% Computer : n002.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 : Thu Aug 31 21:33:50 EDT 2023

% Result   : Theorem 2.85s 2.93s
% Output   : CNFRefutation 2.85s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SWV463+1 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.13  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34  % Computer : n002.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 29 10:06:20 EDT 2023
% 0.13/0.34  % CPUTime    : 
% 0.19/0.56  start to proof:theBenchmark
% 2.79/2.91  %-------------------------------------------
% 2.79/2.91  % File        :CSE---1.6
% 2.79/2.91  % Problem     :theBenchmark
% 2.79/2.92  % Transform   :cnf
% 2.79/2.92  % Format      :tptp:raw
% 2.79/2.92  % Command     :java -jar mcs_scs.jar %d %s
% 2.79/2.92  
% 2.79/2.92  % Result      :Theorem 2.280000s
% 2.79/2.92  % Output      :CNFRefutation 2.280000s
% 2.79/2.92  %-------------------------------------------
% 2.85/2.92  %------------------------------------------------------------------------------
% 2.85/2.92  % File     : SWV463+1 : TPTP v8.1.2. Released v4.0.0.
% 2.85/2.92  % Domain   : Software Verification
% 2.85/2.92  % Problem  : Establishing that there cannot be two leaders, part i52_p38
% 2.85/2.92  % Version  : [Sve07] axioms : Especial.
% 2.85/2.92  % English  :
% 2.85/2.92  
% 2.85/2.92  % Refs     : [Sto97] Stoller (1997), Leader Election in Distributed Systems
% 2.85/2.92  %          : [Sve07] Svensson (2007), Email to Koen Claessen
% 2.85/2.92  %          : [Sve08] Svensson (2008), A Semi-Automatic Correctness Proof Pr
% 2.85/2.92  % Source   : [Sve07]
% 2.85/2.92  % Names    : stoller_i52_p38 [Sve07]
% 2.85/2.92  
% 2.85/2.92  % Status   : Theorem
% 2.85/2.92  % Rating   : 0.31 v8.1.0, 0.28 v7.4.0, 0.23 v7.3.0, 0.24 v7.2.0, 0.21 v7.1.0, 0.22 v7.0.0, 0.23 v6.4.0, 0.31 v6.3.0, 0.29 v6.2.0, 0.36 v6.1.0, 0.40 v6.0.0, 0.35 v5.5.0, 0.41 v5.4.0, 0.46 v5.3.0, 0.52 v5.2.0, 0.35 v5.1.0, 0.48 v5.0.0, 0.46 v4.1.0, 0.48 v4.0.0
% 2.85/2.92  % Syntax   : Number of formulae    :   67 (  40 unt;   0 def)
% 2.85/2.92  %            Number of atoms       :  205 ( 104 equ)
% 2.85/2.92  %            Maximal formula atoms :   94 (   3 avg)
% 2.85/2.92  %            Number of connectives :  203 (  65   ~;  11   |;  78   &)
% 2.85/2.92  %                                         (  13 <=>;  36  =>;   0  <=;   0 <~>)
% 2.85/2.92  %            Maximal formula depth :   32 (   4 avg)
% 2.85/2.92  %            Maximal term depth    :    4 (   1 avg)
% 2.85/2.92  %            Number of predicates  :    6 (   5 usr;   0 prp; 1-2 aty)
% 2.85/2.92  %            Number of functors    :   34 (  34 usr;  17 con; 0-2 aty)
% 2.85/2.92  %            Number of variables   :  166 ( 165   !;   1   ?)
% 2.85/2.92  % SPC      : FOF_THM_RFO_SEQ
% 2.85/2.92  
% 2.85/2.92  % Comments :
% 2.85/2.92  %------------------------------------------------------------------------------
% 2.85/2.92  %----Include axioms for verification of Stoller's leader election algorithm
% 2.85/2.92  include('Axioms/SWV011+0.ax').
% 2.85/2.92  %------------------------------------------------------------------------------
% 2.85/2.92  fof(conj,conjecture,
% 2.85/2.92      ! [V,W,X,Y] :
% 2.85/2.92        ( ( ! [Z,Pid0] :
% 2.85/2.92              ( elem(m_Ldr(Pid0),queue(host(Z)))
% 2.85/2.92             => ~ leq(host(Z),host(Pid0)) )
% 2.85/2.92          & ! [Z,Pid0] :
% 2.85/2.92              ( elem(m_Down(Pid0),queue(host(Z)))
% 2.85/2.92             => host(Pid0) != host(Z) )
% 2.85/2.92          & ! [Z,Pid0] :
% 2.85/2.92              ( elem(m_Halt(Pid0),queue(host(Z)))
% 2.85/2.92             => ~ leq(host(Z),host(Pid0)) )
% 2.85/2.92          & ! [Z,Pid20,Pid0] :
% 2.85/2.92              ( elem(m_Ack(Pid0,Z),queue(host(Pid20)))
% 2.85/2.92             => ~ leq(host(Z),host(Pid0)) )
% 2.85/2.92          & ! [Z,Pid0] :
% 2.85/2.92              ( ( Pid0 != Z
% 2.85/2.92                & host(Pid0) = host(Z) )
% 2.85/2.92             => ( ~ setIn(Z,alive)
% 2.85/2.92                | ~ setIn(Pid0,alive) ) )
% 2.85/2.92          & ! [Z,Pid0] :
% 2.85/2.92              ( ( setIn(Pid0,alive)
% 2.85/2.92                & elem(m_Ack(Pid0,Z),queue(host(Pid0))) )
% 2.85/2.92             => leq(host(Z),index(pendack,host(Pid0))) )
% 2.85/2.92          & ! [Z,Pid0] :
% 2.85/2.92              ( ( setIn(Pid0,alive)
% 2.85/2.92                & index(status,host(Pid0)) = elec_1 )
% 2.85/2.92             => ~ elem(m_Ack(Pid0,Z),queue(host(Pid0))) )
% 2.85/2.92          & ! [Z] :
% 2.85/2.92              ( ( ( index(status,host(Z)) = elec_1
% 2.85/2.92                  | index(status,host(Z)) = elec_2 )
% 2.85/2.92                & setIn(Z,alive) )
% 2.85/2.92             => index(elid,host(Z)) = Z )
% 2.85/2.92          & ! [Z,Pid20,Pid0] :
% 2.85/2.92              ( ( setIn(Pid0,alive)
% 2.85/2.92                & elem(m_Down(Pid20),queue(host(Pid0)))
% 2.85/2.92                & host(Pid20) = host(Z) )
% 2.85/2.92             => ~ ( setIn(Z,alive)
% 2.85/2.92                  & index(ldr,host(Z)) = host(Z)
% 2.85/2.92                  & index(status,host(Z)) = norm ) )
% 2.85/2.92          & ! [Z,Pid0] :
% 2.85/2.92              ( ( ~ leq(host(Z),host(Pid0))
% 2.85/2.92                & setIn(Z,alive)
% 2.85/2.92                & setIn(Pid0,alive)
% 2.85/2.92                & index(status,host(Z)) = elec_2
% 2.85/2.92                & index(status,host(Pid0)) = elec_2 )
% 2.85/2.92             => leq(index(pendack,host(Pid0)),host(Z)) )
% 2.85/2.92          & ! [Z,Pid20,Pid0] :
% 2.85/2.92              ( ( setIn(Z,alive)
% 2.85/2.92                & setIn(Pid0,alive)
% 2.85/2.92                & host(Pid0) = host(Pid20)
% 2.85/2.92                & index(status,host(Z)) = elec_2
% 2.85/2.92                & index(status,host(Pid0)) = elec_2 )
% 2.85/2.92             => ~ elem(m_Ack(Z,Pid20),queue(host(Z))) )
% 2.85/2.92          & ! [Z,Pid0] :
% 2.85/2.92              ( ( ~ leq(host(Z),host(Pid0))
% 2.85/2.92                & setIn(Z,alive)
% 2.85/2.92                & setIn(Pid0,alive)
% 2.85/2.92                & index(status,host(Z)) = elec_2
% 2.85/2.92                & index(status,host(Pid0)) = elec_2 )
% 2.85/2.92             => ~ leq(index(pendack,host(Z)),index(pendack,host(Pid0))) )
% 2.85/2.92          & ! [Z,Pid20,Pid0] :
% 2.85/2.92              ( ( ~ leq(index(pendack,host(Pid0)),host(Z))
% 2.85/2.92                & setIn(Pid0,alive)
% 2.85/2.92                & elem(m_Halt(Pid0),queue(host(Pid20)))
% 2.85/2.92                & index(status,host(Pid0)) = elec_2 )
% 2.85/2.92             => ~ ( setIn(Z,alive)
% 2.85/2.92                  & index(ldr,host(Z)) = host(Z)
% 2.85/2.92                  & index(status,host(Z)) = norm ) )
% 2.85/2.92          & ! [Z,Pid30,Pid20,Pid0] :
% 2.85/2.92              ( ( ! [V0] :
% 2.85/2.92                    ( ( ~ leq(host(Pid0),V0)
% 2.85/2.92                      & leq(s(zero),V0) )
% 2.85/2.92                   => ( setIn(V0,index(down,host(Pid0)))
% 2.85/2.92                      | V0 = host(Pid20) ) )
% 2.85/2.92                & elem(m_Down(Pid20),queue(host(Pid0)))
% 2.85/2.92                & host(Pid0) = nbr_proc
% 2.85/2.92                & host(Pid0) = host(Pid30)
% 2.85/2.92                & index(status,host(Pid0)) = elec_1 )
% 2.85/2.92             => ~ ( setIn(Z,alive)
% 2.85/2.92                  & elem(m_Down(Pid30),queue(host(Z))) ) )
% 2.85/2.92          & ! [Z,Pid30,Pid20,Pid0] :
% 2.85/2.92              ( ( setIn(Pid0,alive)
% 2.85/2.92                & elem(m_Down(Pid20),queue(host(Pid0)))
% 2.85/2.92                & elem(m_Ack(Pid0,Pid30),queue(host(Pid0)))
% 2.85/2.92                & leq(nbr_proc,s(index(pendack,host(Pid0))))
% 2.85/2.93                & index(status,host(Pid0)) = elec_2
% 2.85/2.93                & host(Pid30) = index(pendack,host(Pid0))
% 2.85/2.93                & host(Pid20) = s(index(pendack,host(Pid0))) )
% 2.85/2.93             => ~ ( setIn(Z,alive)
% 2.85/2.93                  & index(ldr,host(Z)) = host(Z)
% 2.85/2.93                  & index(status,host(Z)) = norm ) )
% 2.85/2.93          & queue(host(X)) = cons(m_Ack(W,Y),V) )
% 2.85/2.93       => ( setIn(X,alive)
% 2.85/2.93         => ( ( index(elid,host(X)) = W
% 2.85/2.93              & index(status,host(X)) = elec_2
% 2.85/2.93              & host(Y) = index(pendack,host(X)) )
% 2.85/2.93           => ( leq(nbr_proc,index(pendack,host(X)))
% 2.85/2.93             => ! [Z] :
% 2.85/2.93                  ( ( setIn(host(Z),index(acks,host(X)))
% 2.85/2.93                    | host(Z) = host(Y) )
% 2.85/2.93                 => ! [V0] :
% 2.85/2.93                      ( host(X) != host(V0)
% 2.85/2.93                     => ! [W0,X0,Y0] :
% 2.85/2.93                          ( host(Z) = host(Y0)
% 2.85/2.93                         => ( host(X) != host(Y0)
% 2.85/2.93                           => ( ( setIn(Y0,alive)
% 2.85/2.93                                & leq(nbr_proc,s(index(pendack,host(Y0))))
% 2.85/2.93                                & elem(m_Down(X0),snoc(queue(host(Y0)),m_Ldr(X)))
% 2.85/2.93                                & elem(m_Ack(Y0,W0),snoc(queue(host(Y0)),m_Ldr(X)))
% 2.85/2.93                                & index(status,host(Y0)) = elec_2
% 2.85/2.93                                & host(W0) = index(pendack,host(Y0))
% 2.85/2.93                                & host(X0) = s(index(pendack,host(Y0))) )
% 2.85/2.93                             => ~ ( setIn(V0,alive)
% 2.85/2.93                                  & index(ldr,host(V0)) = host(V0)
% 2.85/2.93                                  & index(status,host(V0)) = norm ) ) ) ) ) ) ) ) ) ) ).
% 2.85/2.93  
% 2.85/2.93  %------------------------------------------------------------------------------
% 2.85/2.93  %-------------------------------------------
% 2.85/2.93  % Proof found
% 2.85/2.93  % SZS status Theorem for theBenchmark
% 2.85/2.93  % SZS output start Proof
% 2.85/2.93  %ClaNum:180(EqnAxiom:50)
% 2.85/2.93  %VarNum:560(SingletonVarNum:295)
% 2.85/2.93  %MaxLitNum:11
% 2.85/2.93  %MaxfuncDepth:3
% 2.85/2.93  %SharedTerms:78
% 2.85/2.93  %goalClause: 52 55 56 57 59 60 61 62 64 65 66 76 77 78 79 81 82 89 90 137
% 2.85/2.93  %singleGoalClaCount:19
% 2.85/2.93  [51]P1(a1)
% 2.85/2.93  [55]P5(a14,a4)
% 2.85/2.93  [56]P5(a6,a4)
% 2.85/2.93  [57]P5(a3,a4)
% 2.85/2.93  [82]P4(a14,a22,a16,a15)
% 2.85/2.93  [83]~E(a9,a7)
% 2.85/2.93  [84]~E(a48,a9)
% 2.85/2.93  [85]~E(a48,a7)
% 2.85/2.93  [86]~E(a9,a33)
% 2.85/2.93  [87]~E(a33,a7)
% 2.85/2.93  [88]~E(a48,a33)
% 2.85/2.93  [101]~P5(a38,a4)
% 2.85/2.93  [52]E(f23(a2),f23(a3))
% 2.85/2.93  [63]P2(f42(a46),a34)
% 2.85/2.93  [89]~E(f23(a6),f23(a14))
% 2.85/2.93  [90]~E(f23(a14),f23(a3))
% 2.85/2.93  [59]E(f27(a41,f23(a14)),a7)
% 2.85/2.93  [60]E(f27(a41,f23(a6)),a33)
% 2.85/2.93  [61]E(f27(a41,f23(a3)),a7)
% 2.85/2.93  [62]E(f27(a11,f23(a14)),a15)
% 2.85/2.93  [64]E(f27(a39,f23(a14)),f23(a22))
% 2.85/2.93  [65]E(f27(a39,f23(a3)),f23(a12))
% 2.85/2.93  [66]E(f27(a28,f23(a6)),f23(a6))
% 2.85/2.93  [77]P2(a34,f27(a39,f23(a14)))
% 2.85/2.93  [78]P3(f26(a13),f44(f43(f23(a3)),f35(a14)))
% 2.85/2.93  [81]P3(f31(a3,a12),f44(f43(f23(a3)),f35(a14)))
% 2.85/2.93  [76]E(f42(f27(a39,f23(a3))),f23(a13))
% 2.85/2.93  [79]P2(a34,f42(f27(a39,f23(a3))))
% 2.85/2.93  [58]P2(x581,x581)
% 2.85/2.93  [102]~P3(x1021,a1)
% 2.85/2.93  [103]~P5(x1031,a45)
% 2.85/2.93  [67]P2(f23(x671),a34)
% 2.85/2.93  [68]P2(f42(a46),f23(x681))
% 2.85/2.93  [69]E(f44(a1,x691),f8(x691,a1))
% 2.85/2.93  [70]P1(f8(x701,a1))
% 2.85/2.93  [71]P1(f44(a1,x711))
% 2.85/2.93  [111]~P2(f42(x1111),x1111)
% 2.85/2.93  [53]E(f32(f25(x531)),x531)
% 2.85/2.93  [54]E(f32(f26(x541)),x541)
% 2.85/2.93  [91]~E(f26(x911),f25(x912))
% 2.85/2.93  [92]~E(f36(x921),f26(x922))
% 2.85/2.93  [93]~E(f36(x931),f25(x932))
% 2.85/2.93  [94]~E(f35(x941),f26(x942))
% 2.85/2.93  [95]~E(f35(x951),f25(x952))
% 2.85/2.93  [96]~E(f35(x961),f36(x962))
% 2.85/2.93  [97]~E(f37(x971),f26(x972))
% 2.85/2.93  [98]~E(f37(x981),f35(x982))
% 2.85/2.93  [99]~E(f37(x991),f25(x992))
% 2.85/2.93  [100]~E(f37(x1001),f36(x1002))
% 2.85/2.93  [104]~E(f8(x1041,x1042),a1)
% 2.85/2.93  [105]~E(f44(x1051,x1052),a1)
% 2.85/2.93  [72]E(f24(f8(x721,x722)),x721)
% 2.85/2.93  [73]E(f47(f8(x731,x732)),x732)
% 2.85/2.93  [74]E(f29(f44(x741,x742)),x742)
% 2.85/2.93  [75]E(f30(f44(x751,x752)),x751)
% 2.85/2.93  [106]~E(f31(x1061,x1062),f25(x1063))
% 2.85/2.93  [107]~E(f31(x1071,x1072),f26(x1073))
% 2.85/2.93  [108]~E(f31(x1081,x1082),f36(x1083))
% 2.85/2.93  [109]~E(f31(x1091,x1092),f35(x1093))
% 2.85/2.93  [110]~E(f31(x1101,x1102),f37(x1103))
% 2.85/2.93  [80]E(f44(f8(x801,x802),x803),f8(x801,f44(x802,x803)))
% 2.85/2.93  [137]E(f23(a22),f23(a2))+P5(f23(a2),f27(a5,f23(a14)))
% 2.85/2.93  [121]E(x1211,a1)+E(f8(f24(x1211),f47(x1211)),x1211)
% 2.85/2.93  [122]E(x1221,a1)+E(f44(f30(x1221),f29(x1221)),x1221)
% 2.85/2.93  [120]~E(x1201,x1202)+P2(x1201,x1202)
% 2.85/2.93  [123]P2(x1232,x1231)+P2(x1231,x1232)
% 2.85/2.93  [112]P6(x1121)+~E(x1121,f25(x1122))
% 2.85/2.93  [113]P6(x1131)+~E(x1131,f26(x1132))
% 2.85/2.93  [114]E(x1141,x1142)+~E(f25(x1141),f25(x1142))
% 2.85/2.93  [115]E(x1151,x1152)+~E(f26(x1151),f26(x1152))
% 2.85/2.93  [116]E(x1161,x1162)+~E(f36(x1161),f36(x1162))
% 2.85/2.93  [117]E(x1171,x1172)+~E(f35(x1171),f35(x1172))
% 2.85/2.93  [118]E(x1181,x1182)+~E(f37(x1181),f37(x1182))
% 2.85/2.93  [129]~P2(x1291,x1292)+P2(x1291,f42(x1292))
% 2.85/2.93  [135]~P2(x1351,x1352)+P2(f42(x1351),f42(x1352))
% 2.85/2.93  [139]P1(x1391)+~P1(f8(x1392,x1391))
% 2.85/2.93  [140]P1(x1401)+~P1(f44(x1401,x1402))
% 2.85/2.93  [141]P2(x1411,x1412)+~P2(f42(x1411),f42(x1412))
% 2.85/2.93  [126]~E(f23(x1261),f23(x1262))+~E(f42(f23(x1261)),f23(x1262))
% 2.85/2.93  [136]~P1(x1361)+P1(f44(x1361,f35(x1362)))
% 2.85/2.93  [152]P5(x1521,a40)+~P3(f31(x1522,x1521),f43(f23(x1522)))
% 2.85/2.93  [153]P5(x1531,a40)+~P3(f31(x1531,x1532),f43(f23(x1531)))
% 2.85/2.93  [130]~E(x1301,x1302)+P3(x1301,f8(x1302,x1303))
% 2.85/2.93  [131]~E(x1311,x1313)+P3(x1311,f44(x1312,x1313))
% 2.85/2.93  [143]~P3(x1431,x1433)+P3(x1431,f8(x1432,x1433))
% 2.85/2.93  [144]~P3(x1441,x1442)+P3(x1441,f44(x1442,x1443))
% 2.85/2.93  [151]~P1(x1511)+P1(f44(x1511,f31(x1512,x1513)))
% 2.85/2.93  [132]E(x1321,x1322)+~E(f31(x1323,x1321),f31(x1324,x1322))
% 2.85/2.93  [133]E(x1331,x1332)+~E(f31(x1331,x1333),f31(x1332,x1334))
% 2.85/2.93  [161]~P4(x1611,x1613,x1614,x1612)+E(f43(f23(x1611)),f8(f31(x1612,x1613),x1614))
% 2.85/2.93  [125]~P6(x1251)+E(f26(f19(x1251)),x1251)+E(f25(f17(x1251)),x1251)
% 2.85/2.93  [134]~P2(x1342,x1341)+~P2(x1341,x1342)+E(x1341,x1342)
% 2.85/2.93  [127]~P1(x1272)+P6(x1271)+P1(f8(x1271,x1272))
% 2.85/2.93  [128]~P1(x1282)+P6(x1281)+P1(f44(x1282,x1281))
% 2.85/2.93  [138]P2(x1381,x1382)+E(x1381,f42(x1382))+~P2(x1381,f42(x1382))
% 2.85/2.93  [145]~P1(x1452)+P1(f8(x1451,x1452))+P6(f20(x1451,x1452))
% 2.85/2.93  [146]~P1(x1462)+P1(f44(x1462,x1461))+P6(f21(x1461,x1462))
% 2.85/2.93  [147]~P1(x1472)+P3(f20(x1471,x1472),x1472)+P1(f8(x1471,x1472))
% 2.85/2.93  [148]~P1(x1481)+P3(f21(x1482,x1481),x1481)+P1(f44(x1481,x1482))
% 2.85/2.93  [159]~P1(x1592)+~P2(f32(x1591),f32(f20(x1591,x1592)))+P1(f8(x1591,x1592))
% 2.85/2.93  [160]~P1(x1601)+~P2(f32(f21(x1602,x1601)),f32(x1602))+P1(f44(x1601,x1602))
% 2.85/2.93  [154]~P1(x1542)+P1(f8(x1541,x1542))+E(f23(f32(f20(x1541,x1542))),f23(f32(x1541)))
% 2.85/2.93  [155]~P1(x1552)+P1(f44(x1552,x1551))+E(f23(f32(f21(x1551,x1552))),f23(f32(x1551)))
% 2.85/2.93  [142]~P2(x1421,x1423)+P2(x1421,x1422)+~P2(x1423,x1422)
% 2.85/2.93  [149]E(x1491,x1492)+P3(x1491,x1493)+~P3(x1491,f44(x1493,x1492))
% 2.85/2.93  [150]E(x1501,x1502)+P3(x1501,x1503)+~P3(x1501,f8(x1502,x1503))
% 2.85/2.93  [165]~P4(x1653,x1654,x1655,x1656)+~E(f23(x1651),f23(x1652))+~P3(f26(x1651),f43(f23(x1652)))
% 2.85/2.93  [166]~P4(x1661,x1662,x1663,x1664)+~P2(f23(x1665),f23(x1666))+~P3(f25(x1666),f43(f23(x1665)))
% 2.85/2.93  [167]~P4(x1671,x1672,x1673,x1674)+~P2(f23(x1675),f23(x1676))+~P3(f35(x1676),f43(f23(x1675)))
% 2.85/2.93  [168]~P4(x1681,x1682,x1683,x1684)+~P2(f23(x1685),f23(x1686))+~P3(f31(x1686,x1685),f43(f23(x1687)))
% 2.85/2.93  [156]P2(x1561,x1562)+~E(f23(x1561),f23(x1562))+~P3(f26(x1562),x1563)+~P1(f8(f25(x1561),x1563))
% 2.85/2.93  [163]~P4(x1632,x1633,x1634,x1635)+~P5(x1631,a4)+E(f27(a11,f23(x1631)),x1631)+~E(f27(a41,f23(x1631)),a9)
% 2.85/2.93  [164]~P4(x1642,x1643,x1644,x1645)+~P5(x1641,a4)+E(f27(a11,f23(x1641)),x1641)+~E(f27(a41,f23(x1641)),a7)
% 2.85/2.93  [169]~P4(x1692,x1693,x1694,x1695)+~P5(x1691,a4)+~P3(f31(x1691,x1696),f43(f23(x1691)))+~E(f27(a41,f23(x1691)),a9)
% 2.85/2.93  [170]~P4(x1703,x1704,x1705,x1706)+~P5(x1702,a4)+~P3(f31(x1702,x1701),f43(f23(x1702)))+P2(f23(x1701),f27(a39,f23(x1702)))
% 2.85/2.93  [162]E(x1621,x1622)+~P4(x1623,x1624,x1625,x1626)+~E(f23(x1621),f23(x1622))+~P5(x1622,a4)+~P5(x1621,a4)
% 2.85/2.93  [157]~P6(x1571)+~P6(x1572)+~P3(x1572,x1573)+P2(f32(x1571),f32(x1572))+~P1(f8(x1571,x1573))+~E(f23(f32(x1572)),f23(f32(x1571)))
% 2.85/2.93  [158]~P6(x1582)+~P6(x1581)+~P3(x1581,x1583)+P2(f32(x1581),f32(x1582))+~P1(f44(x1583,x1582))+~E(f23(f32(x1581)),f23(f32(x1582)))
% 2.85/2.93  [172]~P4(x1723,x1724,x1725,x1726)+~P5(x1722,a4)+~P5(x1721,a4)+P2(f23(x1721),f23(x1722))+P2(f27(a39,f23(x1722)),f23(x1721))+~E(f27(a41,f23(x1721)),a7)+~E(f27(a41,f23(x1722)),a7)
% 2.85/2.93  [175]~P4(x1753,x1754,x1755,x1756)+~P5(x1752,a4)+~P5(x1751,a4)+P2(f23(x1751),f23(x1752))+~P2(f27(a39,f23(x1751)),f27(a39,f23(x1752)))+~E(f27(a41,f23(x1751)),a7)+~E(f27(a41,f23(x1752)),a7)
% 2.85/2.93  [171]~P4(x1714,x1715,x1716,x1717)+~P5(x1712,a4)+~E(f23(x1711),f23(x1712))+~P5(x1713,a4)+~P3(f26(x1711),f43(f23(x1713)))+~E(f27(a28,f23(x1712)),f23(x1712))+~E(f27(a41,f23(x1712)),a33)
% 2.85/2.93  [173]~P4(x1734,x1735,x1736,x1737)+~P5(x1731,a4)+~P5(x1733,a4)+~E(f23(x1731),f23(x1732))+~P3(f31(x1733,x1732),f43(f23(x1733)))+~E(f27(a41,f23(x1731)),a7)+~E(f27(a41,f23(x1733)),a7)
% 2.85/2.93  [174]~P4(x1743,x1744,x1745,x1746)+~P5(x1742,a4)+~P5(x1741,a4)+~P3(f25(x1741),f43(f23(x1747)))+P2(f27(a39,f23(x1741)),f23(x1742))+~E(f27(a28,f23(x1742)),f23(x1742))+~E(f27(a41,f23(x1741)),a7)+~E(f27(a41,f23(x1742)),a33)
% 2.85/2.93  [177]~P4(x1776,x1775,x1774,x1773)+~P5(x1777,a4)+~E(f18(x1773,x1774,x1775,x1776,x1777,x1772,x1778,x1771),f23(x1778))+~E(f23(x1772),f23(x1771))+~P3(f26(x1772),f43(f23(x1777)))+~P3(f26(x1778),f43(f23(x1771)))+~E(f23(x1771),a34)+~E(f27(a41,f23(x1771)),a9)
% 2.85/2.93  [178]~P4(x1784,x1783,x1782,x1781)+~E(f23(x1786),f23(x1788))+~P5(x1785,a4)+P2(f42(a46),f18(x1781,x1782,x1783,x1784,x1785,x1786,x1787,x1788))+~E(f23(x1788),a34)+~P3(f26(x1787),f43(f23(x1788)))+~P3(f26(x1786),f43(f23(x1785)))+~E(f27(a41,f23(x1788)),a9)
% 2.85/2.93  [179]~P4(x1794,x1795,x1796,x1797)+~P2(f23(x1791),f18(x1797,x1796,x1795,x1794,x1793,x1792,x1798,x1791))+~E(f23(x1791),f23(x1792))+~P5(x1793,a4)+~P3(f26(x1792),f43(f23(x1793)))+~E(f23(x1791),a34)+~P3(f26(x1798),f43(f23(x1791)))+~E(f27(a41,f23(x1791)),a9)
% 2.85/2.93  [180]~P4(x1804,x1805,x1806,x1807)+~E(f23(x1802),f23(x1801))+~P5(x1803,a4)+~P3(f26(x1802),f43(f23(x1803)))+~E(f23(x1801),a34)+~P3(f26(x1808),f43(f23(x1801)))+~P5(f18(x1807,x1806,x1805,x1804,x1803,x1802,x1808,x1801),f27(a10,f23(x1801)))+~E(f27(a41,f23(x1801)),a9)
% 2.85/2.93  [176]~P4(x1765,x1766,x1767,x1768)+~P5(x1761,a4)+~P5(x1762,a4)+~P3(f31(x1762,x1763),f43(f23(x1762)))+~P3(f26(x1764),f43(f23(x1762)))+~E(f27(a28,f23(x1761)),f23(x1761))+~E(f23(x1763),f27(a39,f23(x1762)))+~E(f23(x1764),f42(f27(a39,f23(x1762))))+~E(f27(a41,f23(x1761)),a33)+~E(f27(a41,f23(x1762)),a7)+~P2(a34,f42(f27(a39,f23(x1762))))
% 2.85/2.93  %EqnAxiom
% 2.85/2.93  [1]E(x11,x11)
% 2.85/2.93  [2]E(x22,x21)+~E(x21,x22)
% 2.85/2.93  [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 2.85/2.93  [4]~E(x41,x42)+E(f23(x41),f23(x42))
% 2.85/2.93  [5]~E(x51,x52)+E(f27(x51,x53),f27(x52,x53))
% 2.85/2.93  [6]~E(x61,x62)+E(f27(x63,x61),f27(x63,x62))
% 2.85/2.93  [7]~E(x71,x72)+E(f25(x71),f25(x72))
% 2.85/2.93  [8]~E(x81,x82)+E(f32(x81),f32(x82))
% 2.85/2.93  [9]~E(x91,x92)+E(f26(x91),f26(x92))
% 2.85/2.93  [10]~E(x101,x102)+E(f21(x101,x103),f21(x102,x103))
% 2.85/2.93  [11]~E(x111,x112)+E(f21(x113,x111),f21(x113,x112))
% 2.85/2.93  [12]~E(x121,x122)+E(f18(x121,x123,x124,x125,x126,x127,x128,x129),f18(x122,x123,x124,x125,x126,x127,x128,x129))
% 2.85/2.93  [13]~E(x131,x132)+E(f18(x133,x131,x134,x135,x136,x137,x138,x139),f18(x133,x132,x134,x135,x136,x137,x138,x139))
% 2.85/2.93  [14]~E(x141,x142)+E(f18(x143,x144,x141,x145,x146,x147,x148,x149),f18(x143,x144,x142,x145,x146,x147,x148,x149))
% 2.85/2.93  [15]~E(x151,x152)+E(f18(x153,x154,x155,x151,x156,x157,x158,x159),f18(x153,x154,x155,x152,x156,x157,x158,x159))
% 2.85/2.93  [16]~E(x161,x162)+E(f18(x163,x164,x165,x166,x161,x167,x168,x169),f18(x163,x164,x165,x166,x162,x167,x168,x169))
% 2.85/2.93  [17]~E(x171,x172)+E(f18(x173,x174,x175,x176,x177,x171,x178,x179),f18(x173,x174,x175,x176,x177,x172,x178,x179))
% 2.85/2.93  [18]~E(x181,x182)+E(f18(x183,x184,x185,x186,x187,x188,x181,x189),f18(x183,x184,x185,x186,x187,x188,x182,x189))
% 2.85/2.93  [19]~E(x191,x192)+E(f18(x193,x194,x195,x196,x197,x198,x199,x191),f18(x193,x194,x195,x196,x197,x198,x199,x192))
% 2.85/2.93  [20]~E(x201,x202)+E(f31(x201,x203),f31(x202,x203))
% 2.85/2.93  [21]~E(x211,x212)+E(f31(x213,x211),f31(x213,x212))
% 2.85/2.93  [22]~E(x221,x222)+E(f43(x221),f43(x222))
% 2.85/2.93  [23]~E(x231,x232)+E(f42(x231),f42(x232))
% 2.85/2.93  [24]~E(x241,x242)+E(f8(x241,x243),f8(x242,x243))
% 2.85/2.93  [25]~E(x251,x252)+E(f8(x253,x251),f8(x253,x252))
% 2.85/2.93  [26]~E(x261,x262)+E(f44(x261,x263),f44(x262,x263))
% 2.85/2.93  [27]~E(x271,x272)+E(f44(x273,x271),f44(x273,x272))
% 2.85/2.93  [28]~E(x281,x282)+E(f35(x281),f35(x282))
% 2.85/2.93  [29]~E(x291,x292)+E(f20(x291,x293),f20(x292,x293))
% 2.85/2.93  [30]~E(x301,x302)+E(f20(x303,x301),f20(x303,x302))
% 2.85/2.93  [31]~E(x311,x312)+E(f36(x311),f36(x312))
% 2.85/2.93  [32]~E(x321,x322)+E(f19(x321),f19(x322))
% 2.85/2.93  [33]~E(x331,x332)+E(f29(x331),f29(x332))
% 2.85/2.93  [34]~E(x341,x342)+E(f17(x341),f17(x342))
% 2.85/2.93  [35]~E(x351,x352)+E(f30(x351),f30(x352))
% 2.85/2.93  [36]~E(x361,x362)+E(f47(x361),f47(x362))
% 2.85/2.93  [37]~E(x371,x372)+E(f37(x371),f37(x372))
% 2.85/2.93  [38]~E(x381,x382)+E(f24(x381),f24(x382))
% 2.85/2.93  [39]~P1(x391)+P1(x392)+~E(x391,x392)
% 2.85/2.93  [40]P5(x402,x403)+~E(x401,x402)+~P5(x401,x403)
% 2.85/2.93  [41]P5(x413,x412)+~E(x411,x412)+~P5(x413,x411)
% 2.85/2.93  [42]P2(x422,x423)+~E(x421,x422)+~P2(x421,x423)
% 2.85/2.93  [43]P2(x433,x432)+~E(x431,x432)+~P2(x433,x431)
% 2.85/2.93  [44]P3(x442,x443)+~E(x441,x442)+~P3(x441,x443)
% 2.85/2.93  [45]P3(x453,x452)+~E(x451,x452)+~P3(x453,x451)
% 2.85/2.93  [46]P4(x462,x463,x464,x465)+~E(x461,x462)+~P4(x461,x463,x464,x465)
% 2.85/2.93  [47]P4(x473,x472,x474,x475)+~E(x471,x472)+~P4(x473,x471,x474,x475)
% 2.85/2.93  [48]P4(x483,x484,x482,x485)+~E(x481,x482)+~P4(x483,x484,x481,x485)
% 2.85/2.93  [49]P4(x493,x494,x495,x492)+~E(x491,x492)+~P4(x493,x494,x495,x491)
% 2.85/2.93  [50]~P6(x501)+P6(x502)+~E(x501,x502)
% 2.85/2.93  
% 2.85/2.93  %-------------------------------------------
% 2.85/2.93  cnf(181,plain,
% 2.85/2.93     (E(f23(a3),f23(a2))),
% 2.85/2.93     inference(scs_inference,[],[52,2])).
% 2.85/2.93  cnf(182,plain,
% 2.85/2.93     (P2(x1821,f42(x1821))),
% 2.85/2.93     inference(scs_inference,[],[52,111,2,123])).
% 2.85/2.93  cnf(184,plain,
% 2.85/2.93     (~E(f42(x1841),x1841)),
% 2.85/2.93     inference(scs_inference,[],[52,111,2,123,120])).
% 2.85/2.93  cnf(186,plain,
% 2.85/2.93     (P6(f32(f25(f26(x1861))))),
% 2.85/2.93     inference(scs_inference,[],[52,111,53,2,123,120,113])).
% 2.85/2.93  cnf(187,plain,
% 2.85/2.93     (E(f32(f25(x1871)),x1871)),
% 2.85/2.93     inference(rename_variables,[],[53])).
% 2.85/2.93  cnf(189,plain,
% 2.85/2.93     (P6(f32(f25(f25(x1891))))),
% 2.85/2.93     inference(scs_inference,[],[52,111,53,187,2,123,120,113,112])).
% 2.85/2.93  cnf(190,plain,
% 2.85/2.93     (E(f32(f25(x1901)),x1901)),
% 2.85/2.93     inference(rename_variables,[],[53])).
% 2.85/2.93  cnf(192,plain,
% 2.85/2.93     (~P2(f42(f42(x1921)),x1921)),
% 2.85/2.93     inference(scs_inference,[],[52,111,53,187,2,123,120,113,112,129])).
% 2.85/2.93  cnf(193,plain,
% 2.85/2.93     (~P2(f42(x1931),x1931)),
% 2.85/2.94     inference(rename_variables,[],[111])).
% 2.85/2.94  cnf(196,plain,
% 2.85/2.94     (P6(f26(x1961))),
% 2.85/2.94     inference(scs_inference,[],[52,89,111,53,187,190,2,123,120,113,112,129,4,50])).
% 2.85/2.94  cnf(197,plain,
% 2.85/2.94     (E(f32(f25(x1971)),x1971)),
% 2.85/2.94     inference(rename_variables,[],[53])).
% 2.85/2.94  cnf(198,plain,
% 2.85/2.94     (~E(a34,a46)),
% 2.85/2.94     inference(scs_inference,[],[52,63,89,111,193,53,187,190,2,123,120,113,112,129,4,50,43])).
% 2.85/2.94  cnf(199,plain,
% 2.85/2.94     (~P2(f42(x1991),x1991)),
% 2.85/2.94     inference(rename_variables,[],[111])).
% 2.85/2.94  cnf(200,plain,
% 2.85/2.94     (~E(x2001,f42(x2001))),
% 2.85/2.94     inference(scs_inference,[],[52,58,63,89,111,193,199,53,187,190,2,123,120,113,112,129,4,50,43,42])).
% 2.85/2.94  cnf(201,plain,
% 2.85/2.94     (P2(x2011,x2011)),
% 2.85/2.94     inference(rename_variables,[],[58])).
% 2.85/2.94  cnf(205,plain,
% 2.85/2.94     (~E(f23(a14),f23(a2))),
% 2.85/2.94     inference(scs_inference,[],[52,58,103,55,101,63,89,90,111,193,199,53,187,190,2,123,120,113,112,129,4,50,43,42,41,40,3])).
% 2.85/2.94  cnf(206,plain,
% 2.85/2.94     (P3(f31(a3,a12),f43(f23(a3)))),
% 2.85/2.94     inference(scs_inference,[],[52,58,103,55,101,63,89,90,81,111,193,199,109,53,187,190,2,123,120,113,112,129,4,50,43,42,41,40,3,149])).
% 2.85/2.94  cnf(211,plain,
% 2.85/2.94     (E(f27(a11,f23(a14)),a14)),
% 2.85/2.94     inference(scs_inference,[],[52,58,103,55,82,101,63,89,90,59,81,111,193,199,109,53,187,190,2,123,120,113,112,129,4,50,43,42,41,40,3,149,168,164])).
% 2.85/2.94  cnf(213,plain,
% 2.85/2.94     (~E(f23(a3),f23(a12))),
% 2.85/2.94     inference(scs_inference,[],[52,58,103,55,57,82,101,63,89,90,59,61,81,111,193,199,109,53,187,190,2,123,120,113,112,129,4,50,43,42,41,40,3,149,168,164,173])).
% 2.85/2.94  cnf(215,plain,
% 2.85/2.94     (P1(f44(f8(x2151,a1),f31(x2152,x2153)))),
% 2.85/2.94     inference(scs_inference,[],[52,58,103,55,57,82,101,63,89,90,59,61,81,111,193,199,70,109,53,187,190,2,123,120,113,112,129,4,50,43,42,41,40,3,149,168,164,173,151])).
% 2.85/2.94  cnf(221,plain,
% 2.85/2.94     (P1(f44(f8(x2211,a1),f35(x2212)))),
% 2.85/2.94     inference(scs_inference,[],[52,58,103,55,57,82,101,63,89,90,59,61,81,111,193,199,70,109,53,187,190,2,123,120,113,112,129,4,50,43,42,41,40,3,149,168,164,173,151,144,143,136])).
% 2.85/2.94  cnf(223,plain,
% 2.85/2.94     (P3(f23(a2),f44(x2231,f23(a3)))),
% 2.85/2.94     inference(scs_inference,[],[52,58,103,55,57,82,101,63,89,90,59,61,81,111,193,199,70,109,53,187,190,2,123,120,113,112,129,4,50,43,42,41,40,3,149,168,164,173,151,144,143,136,131])).
% 2.85/2.94  cnf(225,plain,
% 2.85/2.94     (P3(f23(a2),f8(f23(a3),x2251))),
% 2.85/2.94     inference(scs_inference,[],[52,58,103,55,57,82,101,63,89,90,59,61,81,111,193,199,70,109,53,187,190,2,123,120,113,112,129,4,50,43,42,41,40,3,149,168,164,173,151,144,143,136,131,130])).
% 2.85/2.94  cnf(241,plain,
% 2.85/2.94     (E(f8(f23(a2),x2411),f8(f23(a3),x2411))),
% 2.85/2.94     inference(scs_inference,[],[52,58,103,55,57,82,101,63,89,90,59,61,81,111,193,199,70,109,53,187,190,2,123,120,113,112,129,4,50,43,42,41,40,3,149,168,164,173,151,144,143,136,131,130,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24])).
% 2.85/2.94  cnf(261,plain,
% 2.85/2.94     (~P2(f42(f23(a12)),f42(f23(a3)))),
% 2.85/2.94     inference(scs_inference,[],[52,58,103,55,57,82,101,63,89,90,59,61,81,111,193,199,70,109,53,187,190,2,123,120,113,112,129,4,50,43,42,41,40,3,149,168,164,173,151,144,143,136,131,130,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,141])).
% 2.85/2.94  cnf(281,plain,
% 2.85/2.94     (~E(f25(a9),f25(a7))),
% 2.85/2.94     inference(scs_inference,[],[52,58,103,55,57,82,83,101,63,89,90,59,61,81,111,193,199,104,70,109,53,187,190,2,123,120,113,112,129,4,50,43,42,41,40,3,149,168,164,173,151,144,143,136,131,130,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,141,135,133,132,122,121,118,117,116,115,114])).
% 2.85/2.94  cnf(287,plain,
% 2.85/2.94     (~P3(x2871,f32(f25(a1)))),
% 2.85/2.94     inference(scs_inference,[],[52,58,102,103,55,57,82,83,101,63,89,90,59,61,81,111,193,199,104,70,109,53,187,190,197,2,123,120,113,112,129,4,50,43,42,41,40,3,149,168,164,173,151,144,143,136,131,130,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,141,135,133,132,122,121,118,117,116,115,114,161,126,45])).
% 2.85/2.94  cnf(288,plain,
% 2.85/2.94     (~E(a1,x2881)+P1(x2881)),
% 2.85/2.94     inference(scs_inference,[],[52,58,102,103,55,57,82,51,83,101,63,89,90,59,61,81,111,193,199,104,70,109,53,187,190,197,2,123,120,113,112,129,4,50,43,42,41,40,3,149,168,164,173,151,144,143,136,131,130,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,141,135,133,132,122,121,118,117,116,115,114,161,126,45,39])).
% 2.85/2.94  cnf(289,plain,
% 2.85/2.94     (~P2(a34,a46)),
% 2.85/2.94     inference(scs_inference,[],[52,58,102,103,55,57,82,51,83,101,63,89,90,59,61,81,111,193,199,104,70,109,53,187,190,197,2,123,120,113,112,129,4,50,43,42,41,40,3,149,168,164,173,151,144,143,136,131,130,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,141,135,133,132,122,121,118,117,116,115,114,161,126,45,39,142])).
% 2.85/2.94  cnf(294,plain,
% 2.85/2.94     (~P3(f35(x2941),f43(f23(x2941)))),
% 2.85/2.94     inference(scs_inference,[],[52,58,201,102,103,55,57,82,51,83,101,63,89,90,59,61,81,111,193,199,104,70,109,53,187,190,197,2,123,120,113,112,129,4,50,43,42,41,40,3,149,168,164,173,151,144,143,136,131,130,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,141,135,133,132,122,121,118,117,116,115,114,161,126,45,39,142,150,167])).
% 2.85/2.94  cnf(296,plain,
% 2.85/2.94     (~P3(f25(x2961),f43(f23(x2961)))),
% 2.85/2.94     inference(scs_inference,[],[52,58,201,102,103,55,57,82,51,83,101,63,89,90,59,61,81,111,193,199,104,70,109,53,187,190,197,2,123,120,113,112,129,4,50,43,42,41,40,3,149,168,164,173,151,144,143,136,131,130,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,141,135,133,132,122,121,118,117,116,115,114,161,126,45,39,142,150,167,166])).
% 2.85/2.94  cnf(298,plain,
% 2.85/2.94     (~P3(f26(a2),f43(f23(a3)))),
% 2.85/2.94     inference(scs_inference,[],[52,58,201,102,103,55,57,82,51,83,101,63,89,90,59,61,81,111,193,199,104,70,109,53,187,190,197,2,123,120,113,112,129,4,50,43,42,41,40,3,149,168,164,173,151,144,143,136,131,130,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,141,135,133,132,122,121,118,117,116,115,114,161,126,45,39,142,150,167,166,165])).
% 2.85/2.94  cnf(302,plain,
% 2.85/2.94     (P2(f23(a12),f27(a39,f23(a3)))),
% 2.85/2.94     inference(scs_inference,[],[52,58,201,102,103,55,57,82,51,83,101,63,89,90,59,61,81,111,193,199,104,70,109,53,187,190,197,2,123,120,113,112,129,4,50,43,42,41,40,3,149,168,164,173,151,144,143,136,131,130,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,141,135,133,132,122,121,118,117,116,115,114,161,126,45,39,142,150,167,166,165,169,170])).
% 2.85/2.94  cnf(304,plain,
% 2.85/2.94     (P5(a12,a40)),
% 2.85/2.94     inference(scs_inference,[],[52,58,201,102,103,55,57,82,51,83,101,63,89,90,59,61,81,111,193,199,104,70,109,53,187,190,197,2,123,120,113,112,129,4,50,43,42,41,40,3,149,168,164,173,151,144,143,136,131,130,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,141,135,133,132,122,121,118,117,116,115,114,161,126,45,39,142,150,167,166,165,169,170,152])).
% 2.85/2.94  cnf(332,plain,
% 2.85/2.94     (E(x3321,x3322)+~P5(x3322,a4)+~P5(x3321,a4)+~E(f23(x3321),f23(x3322))),
% 2.85/2.94     inference(scs_inference,[],[82,162])).
% 2.85/2.94  cnf(334,plain,
% 2.85/2.94     (~P5(x3341,a4)+E(f27(a11,f23(x3341)),x3341)+~E(f27(a41,f23(x3341)),a7)),
% 2.85/2.94     inference(scs_inference,[],[82,164])).
% 2.85/2.94  cnf(335,plain,
% 2.85/2.94     (~E(f23(x3351),f23(x3352))+~P3(f26(x3351),f43(f23(x3352)))),
% 2.85/2.94     inference(scs_inference,[],[82,165])).
% 2.85/2.94  cnf(336,plain,
% 2.85/2.94     (~P2(f23(x3361),f23(x3362))+~P3(f25(x3362),f43(f23(x3361)))),
% 2.85/2.94     inference(scs_inference,[],[82,166])).
% 2.85/2.94  cnf(337,plain,
% 2.85/2.94     (~P2(f23(x3371),f23(x3372))+~P3(f35(x3372),f43(f23(x3371)))),
% 2.85/2.94     inference(scs_inference,[],[82,167])).
% 2.85/2.94  cnf(338,plain,
% 2.85/2.94     (~P2(f23(x3381),f23(x3382))+~P3(f31(x3382,x3381),f43(f23(x3383)))),
% 2.85/2.94     inference(scs_inference,[],[82,168])).
% 2.85/2.94  cnf(339,plain,
% 2.85/2.94     (~P5(x3391,a4)+~P3(f31(x3391,x3392),f43(f23(x3391)))+~E(f27(a41,f23(x3391)),a9)),
% 2.85/2.94     inference(scs_inference,[],[82,169])).
% 2.85/2.94  cnf(340,plain,
% 2.85/2.94     (~P5(x3401,a4)+~P3(f31(x3401,x3402),f43(f23(x3401)))+P2(f23(x3402),f27(a39,f23(x3401)))),
% 2.85/2.94     inference(scs_inference,[],[82,170])).
% 2.85/2.94  cnf(341,plain,
% 2.85/2.94     (~E(f23(x3411),f23(x3412))+~P5(x3412,a4)+~P5(x3413,a4)+~P3(f26(x3411),f43(f23(x3413)))+~E(f27(a28,f23(x3412)),f23(x3412))+~E(f27(a41,f23(x3412)),a33)),
% 2.85/2.94     inference(scs_inference,[],[82,171])).
% 2.85/2.94  cnf(342,plain,
% 2.85/2.94     (P2(f23(x3421),f23(x3422))+~P5(x3422,a4)+~P5(x3421,a4)+P2(f27(a39,f23(x3422)),f23(x3421))+~E(f27(a41,f23(x3422)),a7)+~E(f27(a41,f23(x3421)),a7)),
% 2.85/2.94     inference(scs_inference,[],[82,172])).
% 2.85/2.94  cnf(343,plain,
% 2.85/2.94     (~E(f23(x3431),f23(x3432))+~P5(x3431,a4)+~P5(x3433,a4)+~P3(f31(x3433,x3432),f43(f23(x3433)))+~E(f27(a41,f23(x3433)),a7)+~E(f27(a41,f23(x3431)),a7)),
% 2.85/2.94     inference(scs_inference,[],[82,173])).
% 2.85/2.94  cnf(344,plain,
% 2.85/2.94     (~P5(x3441,a4)+~P5(x3442,a4)+~P3(f25(x3442),f43(f23(x3443)))+P2(f27(a39,f23(x3442)),f23(x3441))+~E(f27(a28,f23(x3441)),f23(x3441))+~E(f27(a41,f23(x3441)),a33)+~E(f27(a41,f23(x3442)),a7)),
% 2.85/2.94     inference(scs_inference,[],[82,174])).
% 2.85/2.94  cnf(345,plain,
% 2.85/2.94     (P2(f23(x3451),f23(x3452))+~P5(x3452,a4)+~P5(x3451,a4)+~P2(f27(a39,f23(x3451)),f27(a39,f23(x3452)))+~E(f27(a41,f23(x3452)),a7)+~E(f27(a41,f23(x3451)),a7)),
% 2.85/2.94     inference(scs_inference,[],[82,175])).
% 2.85/2.94  cnf(346,plain,
% 2.85/2.94     (~P5(x3461,a4)+~P5(x3462,a4)+~P3(f31(x3462,x3463),f43(f23(x3462)))+~P3(f26(x3464),f43(f23(x3462)))+~E(f27(a28,f23(x3461)),f23(x3461))+~E(f23(x3463),f27(a39,f23(x3462)))+~E(f23(x3464),f42(f27(a39,f23(x3462))))+~E(f27(a41,f23(x3461)),a33)+~E(f27(a41,f23(x3462)),a7)+~P2(a34,f42(f27(a39,f23(x3462))))),
% 2.85/2.94     inference(scs_inference,[],[82,176])).
% 2.85/2.94  cnf(347,plain,
% 2.85/2.94     (~P3(f31(x3471,x3471),f43(f23(x3472)))),
% 2.85/2.94     inference(scs_inference,[],[58,338])).
% 2.85/2.94  cnf(350,plain,
% 2.85/2.94     (~P3(f26(a3),f43(f23(a2)))),
% 2.85/2.94     inference(scs_inference,[],[58,181,338,335])).
% 2.85/2.94  cnf(363,plain,
% 2.85/2.94     (E(f32(f26(x3631)),x3631)),
% 2.85/2.94     inference(rename_variables,[],[54])).
% 2.85/2.94  cnf(365,plain,
% 2.85/2.94     (E(f32(f26(x3651)),x3651)),
% 2.85/2.94     inference(rename_variables,[],[54])).
% 2.85/2.94  cnf(366,plain,
% 2.85/2.94     (~P2(f42(f27(a39,f23(a14))),a34)),
% 2.85/2.94     inference(scs_inference,[],[84,77,94,54,363,58,103,101,61,57,111,192,294,181,338,335,334,123,150,129,2,41,40,142])).
% 2.85/2.94  cnf(367,plain,
% 2.85/2.94     (~P2(f42(x3671),x3671)),
% 2.85/2.94     inference(rename_variables,[],[111])).
% 2.85/2.94  cnf(370,plain,
% 2.85/2.94     (~P3(x3701,a1)),
% 2.85/2.94     inference(rename_variables,[],[102])).
% 2.85/2.94  cnf(372,plain,
% 2.85/2.94     (P2(f23(a2),f23(a3))),
% 2.85/2.94     inference(scs_inference,[],[52,84,77,94,54,363,58,103,101,61,102,57,111,192,294,181,338,335,334,123,150,129,2,41,40,142,149,120])).
% 2.85/2.94  cnf(374,plain,
% 2.85/2.94     (~P2(f42(f23(a3)),f23(a2))),
% 2.85/2.94     inference(scs_inference,[],[52,84,77,94,54,363,58,103,101,61,102,57,111,367,192,294,181,338,335,334,123,150,129,2,41,40,142,149,120,43])).
% 2.85/2.94  cnf(375,plain,
% 2.85/2.94     (~P2(f42(x3751),x3751)),
% 2.85/2.94     inference(rename_variables,[],[111])).
% 2.85/2.94  cnf(377,plain,
% 2.85/2.94     (E(f23(f23(a2)),f23(f23(a3)))),
% 2.85/2.94     inference(scs_inference,[],[52,84,77,94,54,363,58,103,101,61,102,57,111,367,192,294,223,181,338,335,334,123,150,129,2,41,40,142,149,120,43,44,4])).
% 2.85/2.94  cnf(380,plain,
% 2.85/2.94     (E(f32(f26(x3801)),x3801)),
% 2.85/2.94     inference(rename_variables,[],[54])).
% 2.85/2.94  cnf(381,plain,
% 2.85/2.94     (~P2(f32(f26(f42(x3811))),x3811)),
% 2.85/2.94     inference(scs_inference,[],[52,84,77,94,54,363,365,380,58,103,101,61,53,102,370,57,111,367,375,192,294,189,223,181,338,335,334,123,150,129,2,41,40,142,149,120,43,44,4,50,45,42])).
% 2.85/2.94  cnf(382,plain,
% 2.85/2.94     (E(f32(f26(x3821)),x3821)),
% 2.85/2.94     inference(rename_variables,[],[54])).
% 2.85/2.94  cnf(385,plain,
% 2.85/2.94     (~P3(f35(a3),f43(f23(a2)))),
% 2.85/2.94     inference(scs_inference,[],[52,84,77,94,54,363,365,380,382,58,103,101,61,53,102,370,57,111,367,375,192,294,189,223,181,338,335,334,123,150,129,2,41,40,142,149,120,43,44,4,50,45,42,3,337])).
% 2.85/2.94  cnf(387,plain,
% 2.85/2.94     (~P3(f25(a3),f43(f23(a2)))),
% 2.85/2.94     inference(scs_inference,[],[52,84,77,94,54,363,365,380,382,58,103,101,61,53,102,370,57,111,367,375,192,294,189,223,181,338,335,334,123,150,129,2,41,40,142,149,120,43,44,4,50,45,42,3,337,336])).
% 2.85/2.94  cnf(391,plain,
% 2.85/2.94     (E(f25(f17(f25(x3911))),f25(x3911))),
% 2.85/2.94     inference(scs_inference,[],[52,56,84,77,91,94,54,363,365,380,382,58,103,101,61,53,102,370,57,111,367,375,192,294,189,223,181,338,335,334,123,150,129,2,41,40,142,149,120,43,44,4,50,45,42,3,337,336,339,125])).
% 2.85/2.94  cnf(402,plain,
% 2.85/2.94     (~P3(f26(x4021),f43(f23(a14)))+~E(f23(x4021),f23(a6))),
% 2.85/2.94     inference(scs_inference,[],[52,56,84,77,60,66,91,94,54,363,365,380,382,80,58,103,101,61,53,102,370,55,57,111,367,375,192,294,189,215,223,181,338,335,334,123,150,129,2,41,40,142,149,120,43,44,4,50,45,42,3,337,336,339,125,39,332,156,343,341])).
% 2.85/2.94  cnf(406,plain,
% 2.85/2.94     (~P3(f26(x4061),f43(f23(a3)))+~E(f23(x4061),f42(f27(a39,f23(a3))))+~E(f23(a12),f27(a39,f23(a3)))),
% 2.85/2.94     inference(scs_inference,[],[52,56,84,77,60,66,79,91,94,54,363,365,380,382,80,58,103,101,61,53,102,370,55,57,111,367,375,192,294,189,215,223,206,181,338,335,334,123,150,129,2,41,40,142,149,120,43,44,4,50,45,42,3,337,336,339,125,39,332,156,343,341,344,346])).
% 2.85/2.94  cnf(409,plain,
% 2.85/2.94     (~P3(f26(x4091),f43(f23(x4091)))),
% 2.85/2.94     inference(equality_inference,[],[335])).
% 2.85/2.94  cnf(411,plain,
% 2.85/2.94     (~P3(f31(a14,a2),f43(f23(a14)))),
% 2.85/2.94     inference(scs_inference,[],[55,181,59,61,57,343])).
% 2.85/2.94  cnf(413,plain,
% 2.85/2.94     (~P2(f42(f23(a12)),f23(a3))),
% 2.85/2.94     inference(scs_inference,[],[55,181,59,61,57,261,343,129])).
% 2.85/2.94  cnf(415,plain,
% 2.85/2.94     (E(f17(f25(x4151)),x4151)),
% 2.85/2.94     inference(scs_inference,[],[55,181,59,61,57,391,261,343,129,114])).
% 2.85/2.94  cnf(426,plain,
% 2.85/2.94     (E(a15,f27(a11,f23(a14)))),
% 2.85/2.94     inference(scs_inference,[],[55,62,67,181,59,79,61,57,296,381,391,261,281,343,129,114,123,120,149,142,2])).
% 2.85/2.94  cnf(434,plain,
% 2.85/2.94     (~E(f23(a22),f42(f27(a39,f23(a14))))),
% 2.85/2.94     inference(scs_inference,[],[55,62,64,67,72,181,90,59,79,58,103,102,61,57,296,381,391,261,281,200,206,343,129,114,123,120,149,142,2,4,45,42,41,3])).
% 2.85/2.94  cnf(453,plain,
% 2.85/2.94     (~E(f23(a14),f23(a12))),
% 2.85/2.94     inference(scs_inference,[],[55,59,61,57,206,343])).
% 2.85/2.94  cnf(455,plain,
% 2.85/2.94     (P4(a14,a22,a16,f27(a11,f23(a14)))),
% 2.85/2.94     inference(scs_inference,[],[55,59,61,57,82,426,206,343,49])).
% 2.85/2.94  cnf(456,plain,
% 2.85/2.94     (P2(f42(a46),f42(f23(x4561)))),
% 2.85/2.94     inference(scs_inference,[],[55,68,59,61,57,82,426,206,343,49,129])).
% 2.85/2.94  cnf(465,plain,
% 2.85/2.94     (E(f47(f8(x4651,x4652)),x4652)),
% 2.85/2.94     inference(rename_variables,[],[73])).
% 2.85/2.94  cnf(468,plain,
% 2.85/2.94     (~P2(f23(x4681),a46)),
% 2.85/2.94     inference(scs_inference,[],[55,85,68,65,73,101,59,111,61,57,82,374,426,206,343,49,129,123,8,114,9,40,120,142])).
% 2.85/2.94  cnf(469,plain,
% 2.85/2.94     (~P2(f42(x4691),x4691)),
% 2.85/2.94     inference(rename_variables,[],[111])).
% 2.85/2.94  cnf(471,plain,
% 2.85/2.94     (~E(f42(a46),f42(f23(x4711)))),
% 2.85/2.94     inference(scs_inference,[],[55,85,68,65,73,101,59,111,469,61,57,82,374,426,206,343,49,129,123,8,114,9,40,120,142,42])).
% 2.85/2.94  cnf(472,plain,
% 2.85/2.94     (~P2(f42(x4721),x4721)),
% 2.85/2.94     inference(rename_variables,[],[111])).
% 2.85/2.94  cnf(478,plain,
% 2.85/2.94     (E(f47(f8(x4781,x4782)),x4782)),
% 2.85/2.94     inference(rename_variables,[],[73])).
% 2.85/2.94  cnf(481,plain,
% 2.85/2.94     (~P2(f42(x4811),x4811)),
% 2.85/2.94     inference(rename_variables,[],[111])).
% 2.85/2.94  cnf(484,plain,
% 2.85/2.94     (P6(x4841)+P1(f44(f44(a1,x4842),x4841))),
% 2.85/2.94     inference(scs_inference,[],[55,85,68,65,71,73,465,478,101,59,103,102,111,469,472,61,57,82,374,426,304,225,206,52,343,49,129,123,8,114,9,40,120,142,42,41,4,44,3,2,43,45,128])).
% 2.85/2.94  cnf(486,plain,
% 2.85/2.94     (E(f23(a12),f27(a39,f23(a3)))),
% 2.85/2.94     inference(scs_inference,[],[55,85,68,65,71,73,465,478,101,59,103,102,111,469,472,61,57,82,302,374,426,304,225,206,52,343,49,129,123,8,114,9,40,120,142,42,41,4,44,3,2,43,45,128,134])).
% 2.85/2.94  cnf(502,plain,
% 2.85/2.94     (P4(a14,a22,x5021,a15)+~E(a16,x5021)),
% 2.85/2.94     inference(scs_inference,[],[55,85,78,68,65,71,73,465,478,101,59,103,102,111,469,472,481,61,57,82,302,287,434,374,426,304,225,206,52,343,49,129,123,8,114,9,40,120,142,42,41,4,44,3,2,43,45,128,134,141,23,149,147,156,138,48])).
% 2.85/2.94  cnf(503,plain,
% 2.85/2.94     (P4(a14,x5031,a16,a15)+~E(a22,x5031)),
% 2.85/2.94     inference(scs_inference,[],[55,85,78,68,65,71,73,465,478,101,59,103,102,111,469,472,481,61,57,82,302,287,434,374,426,304,225,206,52,343,49,129,123,8,114,9,40,120,142,42,41,4,44,3,2,43,45,128,134,141,23,149,147,156,138,48,47])).
% 2.85/2.94  cnf(504,plain,
% 2.85/2.94     (P4(x5041,a22,a16,a15)+~E(a14,x5041)),
% 2.85/2.94     inference(scs_inference,[],[55,85,78,68,65,71,73,465,478,101,59,103,102,111,469,472,481,61,57,82,302,287,434,374,426,304,225,206,52,343,49,129,123,8,114,9,40,120,142,42,41,4,44,3,2,43,45,128,134,141,23,149,147,156,138,48,47,46])).
% 2.85/2.94  cnf(512,plain,
% 2.85/2.94     (~E(f23(x5121),f42(f27(a39,f23(a3))))+~P3(f26(x5121),f43(f23(a3)))),
% 2.85/2.94     inference(scs_inference,[],[486,406])).
% 2.85/2.94  cnf(513,plain,
% 2.85/2.94     (~P2(f42(f23(x5131)),f42(a46))),
% 2.85/2.94     inference(scs_inference,[],[456,471,134])).
% 2.85/2.94  cnf(518,plain,
% 2.85/2.94     (~P2(f42(f42(f23(a12))),f42(f23(a3)))),
% 2.85/2.94     inference(scs_inference,[],[456,471,413,134,123,141])).
% 2.85/2.94  cnf(520,plain,
% 2.85/2.94     (~P2(f42(f42(f42(x5201))),x5201)),
% 2.85/2.94     inference(scs_inference,[],[456,471,413,192,134,123,141,129])).
% 2.85/2.94  cnf(530,plain,
% 2.85/2.94     (~P2(f42(f27(a39,f23(a14))),f23(x5301))),
% 2.85/2.94     inference(scs_inference,[],[56,74,67,91,101,409,456,471,413,366,192,134,123,141,129,23,120,149,40,142])).
% 2.85/2.94  cnf(532,plain,
% 2.85/2.94     (~P2(f29(f44(x5321,f42(x5322))),x5322)),
% 2.85/2.94     inference(scs_inference,[],[56,74,67,91,101,111,409,456,471,413,366,192,134,123,141,129,23,120,149,40,142,42])).
% 2.85/2.94  cnf(533,plain,
% 2.85/2.94     (E(f29(f44(x5331,x5332)),x5332)),
% 2.85/2.94     inference(rename_variables,[],[74])).
% 2.85/2.94  cnf(534,plain,
% 2.85/2.94     (~P5(a38,f29(f44(x5341,a4)))),
% 2.85/2.94     inference(scs_inference,[],[56,74,533,67,91,101,111,409,456,471,413,366,192,134,123,141,129,23,120,149,40,142,42,41])).
% 2.85/2.94  cnf(536,plain,
% 2.85/2.94     (E(f30(f44(x5361,x5362)),x5361)),
% 2.85/2.94     inference(rename_variables,[],[75])).
% 2.85/2.94  cnf(538,plain,
% 2.85/2.94     (~P2(f42(f23(a13)),f42(f27(a39,f23(a3))))),
% 2.85/2.94     inference(scs_inference,[],[56,86,76,74,533,75,67,91,101,111,409,213,456,471,413,366,192,134,123,141,129,23,120,149,40,142,42,41,3,4,43])).
% 2.85/2.94  cnf(540,plain,
% 2.85/2.94     (~P3(x5401,f30(f44(a1,x5402)))),
% 2.85/2.94     inference(scs_inference,[],[56,86,76,74,533,75,536,67,91,101,111,102,409,213,456,471,413,366,192,134,123,141,129,23,120,149,40,142,42,41,3,4,43,45])).
% 2.85/2.94  cnf(541,plain,
% 2.85/2.94     (E(f30(f44(x5411,x5412)),x5411)),
% 2.85/2.94     inference(rename_variables,[],[75])).
% 2.85/2.94  cnf(543,plain,
% 2.85/2.94     (~P3(f26(a13),f43(f23(a3)))),
% 2.85/2.94     inference(scs_inference,[],[56,86,76,74,533,75,536,67,91,101,111,102,409,213,456,471,413,366,192,134,123,141,129,23,120,149,40,142,42,41,3,4,43,45,2,512])).
% 2.85/2.94  cnf(545,plain,
% 2.85/2.94     (P6(x5451)+P1(f8(x5451,f44(a1,x5452)))),
% 2.85/2.94     inference(scs_inference,[],[56,86,76,74,533,75,536,67,91,71,101,111,102,409,213,456,471,413,366,192,134,123,141,129,23,120,149,40,142,42,41,3,4,43,45,2,512,127])).
% 2.85/2.94  cnf(547,plain,
% 2.85/2.94     (~P2(f23(a13),f27(a39,f23(a3)))),
% 2.85/2.94     inference(scs_inference,[],[56,86,76,74,533,75,536,67,91,71,101,111,102,409,213,456,471,413,366,192,134,123,141,129,23,120,149,40,142,42,41,3,4,43,45,2,512,127,135])).
% 2.85/2.94  cnf(551,plain,
% 2.85/2.94     (~E(f31(a3,a12),f31(x5511,x5511))),
% 2.85/2.94     inference(scs_inference,[],[56,86,76,74,533,75,536,67,91,71,101,181,111,102,61,57,409,347,213,456,471,413,366,192,206,134,123,141,129,23,120,149,40,142,42,41,3,4,43,45,2,512,127,135,343,44])).
% 2.85/2.94  cnf(568,plain,
% 2.85/2.94     (P3(f42(f27(a39,f23(a3))),f44(x5681,f23(a13)))),
% 2.85/2.94     inference(scs_inference,[],[56,86,105,76,74,533,75,536,541,78,67,91,71,101,181,111,102,61,57,82,409,347,213,456,471,413,366,192,206,134,123,141,129,23,120,149,40,142,42,41,3,4,43,45,2,512,127,135,343,44,180,113,144,122,121,178,143,131])).
% 2.85/2.94  cnf(574,plain,
% 2.85/2.94     (~P5(x5741,a4)+P2(f23(x5742),f27(a39,f23(x5741)))+~P3(f31(x5741,x5742),f43(f23(x5741)))),
% 2.85/2.94     inference(rename_variables,[],[340])).
% 2.85/2.94  cnf(584,plain,
% 2.85/2.94     (E(f24(f8(x5841,x5842)),x5841)),
% 2.85/2.94     inference(rename_variables,[],[72])).
% 2.85/2.94  cnf(590,plain,
% 2.85/2.94     (E(f8(f44(a1,x5901),x5902),f8(f8(x5901,a1),x5902))),
% 2.85/2.94     inference(scs_inference,[],[87,69,72,71,57,547,340,151,132,117,116,112,38,36,35,26,24])).
% 2.85/2.94  cnf(598,plain,
% 2.85/2.94     (P5(a3,a40)),
% 2.85/2.94     inference(scs_inference,[],[87,69,72,71,57,547,206,340,151,132,117,116,112,38,36,35,26,24,22,19,16,15,12,10,5,153])).
% 2.85/2.94  cnf(612,plain,
% 2.85/2.94     (E(f26(a13),f35(a14))),
% 2.85/2.94     inference(scs_inference,[],[87,69,72,77,67,71,78,181,57,520,551,547,543,206,340,151,132,117,116,112,38,36,35,26,24,22,19,16,15,12,10,5,153,126,21,135,123,129,120,149])).
% 2.85/2.94  cnf(614,plain,
% 2.85/2.94     (P2(f23(x6141),f27(a39,f23(a14)))),
% 2.85/2.94     inference(scs_inference,[],[87,69,72,77,67,71,78,181,57,520,551,547,543,206,340,151,132,117,116,112,38,36,35,26,24,22,19,16,15,12,10,5,153,126,21,135,123,129,120,149,142])).
% 2.85/2.94  cnf(619,plain,
% 2.85/2.94     (E(f44(a1,f23(a2)),f8(f23(a3),a1))),
% 2.85/2.94     inference(scs_inference,[],[87,69,72,584,73,77,67,71,78,103,101,181,57,520,551,547,543,241,206,340,151,132,117,116,112,38,36,35,26,24,22,19,16,15,12,10,5,153,126,21,135,123,129,120,149,142,40,41,3])).
% 2.85/2.94  cnf(620,plain,
% 2.85/2.94     (E(f44(a1,x6201),f8(x6201,a1))),
% 2.85/2.94     inference(rename_variables,[],[69])).
% 2.85/2.94  cnf(627,plain,
% 2.85/2.94     (E(f23(f44(a1,x6271)),f23(f8(x6271,a1)))),
% 2.85/2.94     inference(scs_inference,[],[87,69,620,182,72,584,73,77,67,71,78,58,103,101,181,57,520,551,547,543,241,206,340,151,132,117,116,112,38,36,35,26,24,22,19,16,15,12,10,5,153,126,21,135,123,129,120,149,142,40,41,3,42,43,4])).
% 2.85/2.94  cnf(634,plain,
% 2.85/2.94     (~P3(f31(a3,a2),f43(f23(x6341)))),
% 2.85/2.94     inference(scs_inference,[],[56,87,69,620,182,72,584,73,77,67,71,78,58,103,59,101,181,57,520,372,551,547,543,241,206,55,340,151,132,117,116,112,38,36,35,26,24,22,19,16,15,12,10,5,153,126,21,135,123,129,120,149,142,40,41,3,42,43,4,44,2,574,342,338])).
% 2.85/2.94  cnf(652,plain,
% 2.85/2.94     (P3(f44(a1,x6521),f8(f8(x6521,a1),x6522))),
% 2.85/2.94     inference(scs_inference,[],[56,87,69,620,182,72,584,73,77,67,71,78,58,103,60,66,59,101,181,57,520,372,551,547,543,241,206,55,340,151,132,117,116,112,38,36,35,26,24,22,19,16,15,12,10,5,153,126,21,135,123,129,120,149,142,40,41,3,42,43,4,44,2,574,342,338,346,136,37,31,20,133,118,7,115,334,130])).
% 2.85/2.94  cnf(654,plain,
% 2.85/2.94     (P2(a34,f27(a39,f23(a3)))+E(a34,f42(f27(a39,f23(a3))))),
% 2.85/2.94     inference(scs_inference,[],[56,87,69,620,182,72,584,73,77,79,67,71,78,58,103,60,66,59,101,181,57,520,372,551,547,543,241,206,55,340,151,132,117,116,112,38,36,35,26,24,22,19,16,15,12,10,5,153,126,21,135,123,129,120,149,142,40,41,3,42,43,4,44,2,574,342,338,346,136,37,31,20,133,118,7,115,334,130,138])).
% 2.85/2.94  cnf(656,plain,
% 2.85/2.94     (~P3(f26(f44(a1,x6561)),f43(f23(f8(x6561,a1))))),
% 2.85/2.94     inference(scs_inference,[],[627,335])).
% 2.85/2.94  cnf(673,plain,
% 2.85/2.94     (~P2(f42(f23(a13)),f27(a39,f23(a3)))),
% 2.85/2.94     inference(scs_inference,[],[64,627,538,335,34,33,32,30,29,27,25,18,17,14,13,11,6,28,21,129])).
% 2.85/2.94  cnf(675,plain,
% 2.85/2.94     (P2(x6751,f29(f44(x6752,f42(x6751))))),
% 2.85/2.94     inference(scs_inference,[],[64,532,627,538,335,34,33,32,30,29,27,25,18,17,14,13,11,6,28,21,129,123])).
% 2.85/2.94  cnf(677,plain,
% 2.85/2.94     (~E(f29(f44(x6771,f42(x6772))),x6772)),
% 2.85/2.94     inference(scs_inference,[],[64,532,627,538,335,34,33,32,30,29,27,25,18,17,14,13,11,6,28,21,129,123,120])).
% 2.85/2.94  cnf(679,plain,
% 2.85/2.94     (~P3(a48,f44(a1,a33))),
% 2.85/2.94     inference(scs_inference,[],[88,64,102,532,627,538,335,34,33,32,30,29,27,25,18,17,14,13,11,6,28,21,129,123,120,149])).
% 2.85/2.94  cnf(680,plain,
% 2.85/2.94     (~P3(x6801,a1)),
% 2.85/2.94     inference(rename_variables,[],[102])).
% 2.85/2.94  cnf(685,plain,
% 2.85/2.94     (~P2(f42(x6851),x6851)),
% 2.85/2.94     inference(rename_variables,[],[111])).
% 2.85/2.94  cnf(694,plain,
% 2.85/2.94     (P1(f8(x6941,f44(a1,f35(x6942))))),
% 2.85/2.94     inference(scs_inference,[],[88,64,80,182,184,79,71,111,685,102,532,627,538,205,289,221,335,34,33,32,30,29,27,25,18,17,14,13,11,6,28,21,129,123,120,149,142,42,3,43,4,2,147,39])).
% 2.85/2.94  cnf(697,plain,
% 2.85/2.94     (~P5(a38,f32(f26(a4)))),
% 2.85/2.94     inference(scs_inference,[],[88,64,54,80,182,184,79,71,101,111,685,102,532,627,538,205,289,221,335,34,33,32,30,29,27,25,18,17,14,13,11,6,28,21,129,123,120,149,142,42,3,43,4,2,147,39,41])).
% 2.85/2.94  cnf(698,plain,
% 2.85/2.94     (E(f32(f26(x6981)),x6981)),
% 2.85/2.94     inference(rename_variables,[],[54])).
% 2.85/2.94  cnf(707,plain,
% 2.85/2.94     (~P3(a48,f8(a33,a1))),
% 2.85/2.94     inference(scs_inference,[],[57,88,64,54,698,80,182,184,79,71,101,181,111,685,102,680,532,298,530,627,538,205,289,221,335,34,33,32,30,29,27,25,18,17,14,13,11,6,28,21,129,123,120,149,142,42,3,43,4,2,147,39,41,44,341,332,138,150])).
% 2.85/2.94  cnf(718,plain,
% 2.85/2.94     (~E(f35(x7181),f25(x7182))),
% 2.85/2.94     inference(rename_variables,[],[95])).
% 2.85/2.94  cnf(723,plain,
% 2.85/2.94     (~P2(f42(f42(f23(x7231))),f42(f42(a46)))),
% 2.85/2.94     inference(scs_inference,[],[95,677,385,513,150,33,27,141])).
% 2.85/2.94  cnf(727,plain,
% 2.85/2.94     (P6(f35(a14))),
% 2.85/2.94     inference(scs_inference,[],[95,75,677,196,385,513,612,150,33,27,141,8,9,50])).
% 2.85/2.94  cnf(728,plain,
% 2.85/2.94     (P6(f26(x7281))),
% 2.85/2.94     inference(rename_variables,[],[196])).
% 2.85/2.94  cnf(729,plain,
% 2.85/2.94     (P2(f42(a46),f42(a34))),
% 2.85/2.94     inference(scs_inference,[],[95,75,63,677,196,385,513,612,150,33,27,141,8,9,50,129])).
% 2.85/2.94  cnf(734,plain,
% 2.85/2.94     (P2(f30(f44(x7341,x7342)),x7341)),
% 2.85/2.94     inference(scs_inference,[],[95,75,63,677,196,385,673,513,612,150,33,27,141,8,9,50,129,123,23,120])).
% 2.85/2.94  cnf(742,plain,
% 2.85/2.94     (~P2(f30(f44(f42(x7421),x7422)),x7421)),
% 2.85/2.94     inference(scs_inference,[],[95,718,75,182,63,111,677,196,385,673,518,513,612,150,33,27,141,8,9,50,129,123,23,120,149,142,42])).
% 2.85/2.94  cnf(743,plain,
% 2.85/2.94     (E(f30(f44(x7431,x7432)),x7431)),
% 2.85/2.94     inference(rename_variables,[],[75])).
% 2.85/2.94  cnf(745,plain,
% 2.85/2.94     (E(f30(f44(x7451,x7452)),x7451)),
% 2.85/2.94     inference(rename_variables,[],[75])).
% 2.85/2.94  cnf(747,plain,
% 2.85/2.94     (E(f30(f44(x7471,x7472)),x7471)),
% 2.85/2.94     inference(rename_variables,[],[75])).
% 2.85/2.94  cnf(748,plain,
% 2.85/2.94     (~P2(f42(x7481),f30(f44(x7481,x7482)))),
% 2.85/2.94     inference(scs_inference,[],[95,718,89,75,743,745,747,182,63,103,111,677,196,385,673,518,513,612,150,33,27,141,8,9,50,129,123,23,120,149,142,42,41,3,43])).
% 2.85/2.94  cnf(750,plain,
% 2.85/2.94     (E(f23(f30(f44(x7501,x7502))),f23(x7501))),
% 2.85/2.94     inference(scs_inference,[],[95,718,89,75,743,745,747,182,63,103,111,677,196,385,673,518,513,612,150,33,27,141,8,9,50,129,123,23,120,149,142,42,41,3,43,4])).
% 2.85/2.94  cnf(751,plain,
% 2.85/2.94     (~E(f26(x7511),f36(x7512))),
% 2.85/2.94     inference(scs_inference,[],[92,95,718,89,75,743,745,747,182,63,103,111,677,196,385,673,518,513,612,150,33,27,141,8,9,50,129,123,23,120,149,142,42,41,3,43,4,2])).
% 2.85/2.94  cnf(759,plain,
% 2.85/2.94     (P4(a14,a22,a16,a14)),
% 2.85/2.94     inference(scs_inference,[],[92,95,718,89,75,743,745,747,76,182,63,103,60,66,111,677,196,728,385,673,455,518,513,612,211,568,56,150,33,27,141,8,9,50,129,123,23,120,149,142,42,41,3,43,4,2,44,402,341,125,49])).
% 2.85/2.94  cnf(779,plain,
% 2.85/2.94     (~P2(f42(f42(f23(x7791))),f42(a46))),
% 2.85/2.94     inference(scs_inference,[],[59,742,723,729,759,161,141,33,21,27,123,120,129])).
% 2.85/2.94  cnf(781,plain,
% 2.85/2.94     (P2(f42(a46),f27(a39,f23(a14)))),
% 2.85/2.94     inference(scs_inference,[],[59,68,742,614,723,729,759,161,141,33,21,27,123,120,129,142])).
% 2.85/2.94  cnf(785,plain,
% 2.85/2.94     (P2(x7851,x7851)),
% 2.85/2.94     inference(rename_variables,[],[58])).
% 2.85/2.94  cnf(789,plain,
% 2.85/2.94     (E(a7,f27(a41,f23(a14)))),
% 2.85/2.94     inference(scs_inference,[],[59,68,58,785,742,614,453,723,729,759,161,141,33,21,27,123,120,129,142,42,43,4,2])).
% 2.85/2.95  cnf(790,plain,
% 2.85/2.95     (E(f44(f8(f44(a1,x7901),x7902),x7903),f8(f8(x7901,a1),f44(x7902,x7903)))),
% 2.85/2.95     inference(scs_inference,[],[59,80,68,58,785,742,614,453,723,729,759,590,161,141,33,21,27,123,120,129,142,42,43,4,2,3])).
% 2.85/2.95  cnf(793,plain,
% 2.85/2.95     (P3(f8(x7931,a1),f8(f8(x7931,a1),x7932))),
% 2.85/2.95     inference(scs_inference,[],[59,80,68,58,785,69,742,614,453,723,729,759,590,652,161,141,33,21,27,123,120,129,142,42,43,4,2,3,44])).
% 2.85/2.95  cnf(825,plain,
% 2.85/2.95     (E(f32(f26(x8251)),x8251)),
% 2.85/2.95     inference(rename_variables,[],[54])).
% 2.85/2.95  cnf(829,plain,
% 2.85/2.95     (P3(f27(a41,f23(a14)),f44(x8291,a7))),
% 2.85/2.95     inference(scs_inference,[],[59,54,793,113,143,131])).
% 2.85/2.95  cnf(835,plain,
% 2.85/2.95     (~P2(f42(f42(x8351)),f42(f30(f44(x8351,x8352))))),
% 2.85/2.95     inference(scs_inference,[],[59,54,68,793,748,113,143,131,35,135,26,141])).
% 2.85/2.95  cnf(837,plain,
% 2.85/2.95     (P2(f42(a46),f42(f42(f23(x8371))))),
% 2.85/2.95     inference(scs_inference,[],[59,54,68,793,779,748,113,143,131,35,135,26,141,123])).
% 2.85/2.95  cnf(839,plain,
% 2.85/2.95     (P2(f32(f26(x8391)),x8391)),
% 2.85/2.95     inference(scs_inference,[],[59,54,825,68,793,779,748,113,143,131,35,135,26,141,123,120])).
% 2.85/2.95  cnf(848,plain,
% 2.85/2.95     (E(f23(f27(a41,f23(a14))),f23(a7))),
% 2.85/2.95     inference(scs_inference,[],[59,54,825,77,68,111,734,793,779,748,289,113,143,131,35,135,26,141,123,120,129,142,42,43,4])).
% 2.85/2.95  cnf(850,plain,
% 2.85/2.95     (E(f32(f26(x8501)),x8501)),
% 2.85/2.95     inference(rename_variables,[],[54])).
% 2.85/2.95  cnf(853,plain,
% 2.85/2.95     (~E(f42(x8531),x8531)),
% 2.85/2.95     inference(rename_variables,[],[184])).
% 2.85/2.95  cnf(854,plain,
% 2.85/2.95     (P1(f44(f8(x8541,f44(a1,f35(x8542))),f31(x8543,x8544)))),
% 2.85/2.95     inference(scs_inference,[],[59,93,54,825,184,77,68,111,734,387,793,779,748,694,289,113,143,131,35,135,26,141,123,120,129,142,42,43,4,44,2,3,151])).
% 2.85/2.95  cnf(861,plain,
% 2.85/2.95     (~P6(f36(x8611))),
% 2.85/2.95     inference(scs_inference,[],[59,93,54,825,184,853,77,68,111,734,751,387,793,779,748,694,289,55,113,143,131,35,135,26,141,123,120,129,142,42,43,4,44,2,3,151,117,332,125])).
% 2.85/2.95  cnf(864,plain,
% 2.85/2.95     (~P6(f32(f26(f36(x8641))))),
% 2.85/2.95     inference(scs_inference,[],[59,93,54,825,850,184,853,77,68,111,734,751,387,793,779,748,694,289,55,113,143,131,35,135,26,141,123,120,129,142,42,43,4,44,2,3,151,117,332,125,50])).
% 2.85/2.95  cnf(865,plain,
% 2.85/2.95     (E(f32(f26(x8651)),x8651)),
% 2.85/2.95     inference(rename_variables,[],[54])).
% 2.85/2.95  cnf(867,plain,
% 2.85/2.95     (E(f32(f26(x8671)),x8671)),
% 2.85/2.95     inference(rename_variables,[],[54])).
% 2.85/2.95  cnf(880,plain,
% 2.85/2.95     (P1(f44(f8(x8801,f44(a1,f35(x8802))),f35(x8803)))),
% 2.85/2.95     inference(scs_inference,[],[59,93,54,825,850,865,867,184,853,77,68,101,181,111,82,734,751,387,793,779,748,694,679,750,289,377,55,57,113,143,131,35,135,26,141,123,120,129,142,42,43,4,44,2,3,151,117,332,125,50,45,40,484,177,180,112,126,136])).
% 2.85/2.95  cnf(909,plain,
% 2.85/2.95     (P3(f27(a41,f23(a6)),f8(a33,x9091))),
% 2.85/2.95     inference(scs_inference,[],[60,97,66,861,864,750,57,56,545,113,341,37,133,118,31,7,20,130])).
% 2.85/2.95  cnf(920,plain,
% 2.85/2.95     (P2(f42(f30(f44(x9201,x9202))),f42(f42(x9201)))),
% 2.85/2.95     inference(scs_inference,[],[60,97,66,835,861,864,837,750,57,56,545,113,341,37,133,118,31,7,20,130,112,38,36,19,16,12,141,123])).
% 2.85/2.95  cnf(922,plain,
% 2.85/2.95     (~P6(f47(f8(x9221,f36(x9222))))),
% 2.85/2.95     inference(scs_inference,[],[60,97,73,66,835,861,864,837,750,57,56,545,113,341,37,133,118,31,7,20,130,112,38,36,19,16,12,141,123,50])).
% 2.85/2.95  cnf(926,plain,
% 2.85/2.95     (~P2(f42(f42(x9261)),f30(f44(x9261,x9262)))),
% 2.85/2.95     inference(scs_inference,[],[60,97,73,66,835,861,864,837,750,57,56,545,113,341,37,133,118,31,7,20,130,112,38,36,19,16,12,141,123,50,120,129])).
% 2.85/2.95  cnf(929,plain,
% 2.85/2.95     (E(f24(f8(x9291,x9292)),x9291)),
% 2.85/2.95     inference(rename_variables,[],[72])).
% 2.85/2.95  cnf(934,plain,
% 2.85/2.95     (~P2(f32(f25(f42(x9341))),x9341)),
% 2.85/2.95     inference(scs_inference,[],[60,97,72,929,53,73,182,102,66,111,835,861,864,837,534,779,750,57,56,545,113,341,37,133,118,31,7,20,130,112,38,36,19,16,12,141,123,50,120,129,45,40,142,42])).
% 2.85/2.95  cnf(936,plain,
% 2.85/2.95     (~P2(f42(a33),f27(a41,f23(a6)))),
% 2.85/2.95     inference(scs_inference,[],[60,97,72,929,53,73,182,102,66,111,835,861,864,837,534,779,750,57,56,545,113,341,37,133,118,31,7,20,130,112,38,36,19,16,12,141,123,50,120,129,45,40,142,42,43])).
% 2.85/2.95  cnf(938,plain,
% 2.85/2.95     (P3(a33,f8(a33,x9381))),
% 2.85/2.95     inference(scs_inference,[],[60,97,72,929,53,73,182,102,66,111,835,861,864,837,534,779,750,57,56,545,113,341,37,133,118,31,7,20,130,112,38,36,19,16,12,141,123,50,120,129,45,40,142,42,43,44])).
% 2.85/2.95  cnf(943,plain,
% 2.85/2.95     (P4(x9431,a22,a16,f27(a11,f23(a14)))+~E(a14,x9431)),
% 2.85/2.95     inference(scs_inference,[],[60,97,86,72,929,53,73,182,102,66,111,835,861,864,837,848,534,455,779,750,57,56,545,113,341,37,133,118,31,7,20,130,112,38,36,19,16,12,141,123,50,120,129,45,40,142,42,43,44,3,2,335,46])).
% 2.85/2.95  cnf(948,plain,
% 2.85/2.95     (P1(f44(f8(x9481,a1),f36(x9482)))),
% 2.85/2.95     inference(scs_inference,[],[60,97,86,72,929,53,73,80,182,70,102,66,111,835,861,864,854,837,848,534,455,779,750,57,56,545,113,341,37,133,118,31,7,20,130,112,38,36,19,16,12,141,123,50,120,129,45,40,142,42,43,44,3,2,335,46,39,23,4,128])).
% 2.85/2.95  cnf(956,plain,
% 2.85/2.95     (P4(a14,a22,a16,x9561)+~E(a14,x9561)),
% 2.85/2.95     inference(scs_inference,[],[60,97,86,72,929,53,73,80,182,79,70,102,66,61,111,835,861,864,854,837,848,534,455,779,759,750,377,57,56,55,59,545,113,341,37,133,118,31,7,20,130,112,38,36,19,16,12,141,123,50,120,129,45,40,142,42,43,44,3,2,335,46,39,23,4,128,345,343,134,49])).
% 2.85/2.95  cnf(957,plain,
% 2.85/2.95     (P4(a14,x9571,a16,f27(a11,f23(a14)))+~E(a22,x9571)),
% 2.85/2.95     inference(scs_inference,[],[60,97,86,72,929,53,73,80,182,79,70,102,66,61,111,835,861,864,854,837,848,534,455,779,759,750,377,57,56,55,59,545,113,341,37,133,118,31,7,20,130,112,38,36,19,16,12,141,123,50,120,129,45,40,142,42,43,44,3,2,335,46,39,23,4,128,345,343,134,49,47])).
% 2.85/2.95  cnf(962,plain,
% 2.85/2.95     (E(f29(f44(x9621,x9622)),x9622)),
% 2.85/2.95     inference(rename_variables,[],[74])).
% 2.85/2.95  cnf(965,plain,
% 2.85/2.95     (E(f29(f44(x9651,x9652)),x9652)),
% 2.85/2.95     inference(rename_variables,[],[74])).
% 2.85/2.95  cnf(967,plain,
% 2.85/2.95     (~P2(f42(f42(a33)),f42(f27(a41,f23(a6))))),
% 2.85/2.95     inference(scs_inference,[],[74,962,936,113,112,141])).
% 2.85/2.95  cnf(977,plain,
% 2.85/2.95     (P2(f23(x9771),f29(f44(x9772,f42(a34))))),
% 2.85/2.95     inference(scs_inference,[],[60,74,962,67,839,934,675,922,936,727,113,112,141,123,120,23,129,50,142])).
% 2.85/2.95  cnf(982,plain,
% 2.85/2.95     (P2(f29(f44(x9821,x9822)),x9822)),
% 2.85/2.95     inference(scs_inference,[],[60,74,962,965,67,182,58,839,934,675,922,936,727,113,112,141,123,120,23,129,50,142,42,43])).
% 2.85/2.95  cnf(1008,plain,
% 2.85/2.95     (P1(f8(f47(f8(x10081,f36(x10082))),f44(a1,x10083)))),
% 2.85/2.95     inference(scs_inference,[],[60,98,74,962,965,67,182,58,71,61,839,934,675,920,922,880,789,909,936,727,938,707,113,112,141,123,120,23,129,50,142,42,43,3,44,2,34,32,29,18,14,13,28,138,30,25,17,11,6,35,26,158,127])).
% 2.85/2.95  cnf(1012,plain,
% 2.85/2.95     (P4(a14,a22,x10121,a14)+~E(a16,x10121)),
% 2.85/2.95     inference(scs_inference,[],[60,98,74,962,965,67,182,58,71,70,61,839,934,675,920,922,880,789,909,936,727,938,707,759,113,112,141,123,120,23,129,50,142,42,43,3,44,2,34,32,29,18,14,13,28,138,30,25,17,11,6,35,26,158,127,147,48])).
% 2.85/2.95  cnf(1024,plain,
% 2.85/2.95     (~P3(x10241,a1)),
% 2.85/2.95     inference(rename_variables,[],[102])).
% 2.85/2.95  cnf(1039,plain,
% 2.85/2.95     (~P2(f42(f42(a33)),f27(a41,f23(a6)))),
% 2.85/2.95     inference(scs_inference,[],[61,99,102,1024,926,967,922,114,150,113,112,9,8,149,120,123,129])).
% 2.85/2.95  cnf(1041,plain,
% 2.85/2.95     (~P6(f29(f44(x10411,f36(x10412))))),
% 2.85/2.95     inference(scs_inference,[],[61,99,74,102,1024,926,967,922,861,114,150,113,112,9,8,149,120,123,129,50])).
% 2.85/2.95  cnf(1042,plain,
% 2.85/2.95     (E(f29(f44(x10421,x10422)),x10422)),
% 2.85/2.95     inference(rename_variables,[],[74])).
% 2.85/2.95  cnf(1048,plain,
% 2.85/2.95     (~E(f42(a46),f42(f42(a34)))),
% 2.85/2.95     inference(scs_inference,[],[61,99,192,74,1042,63,103,102,1024,926,977,967,468,922,861,114,150,113,112,9,8,149,120,123,129,50,41,142,42])).
% 2.85/2.95  cnf(1079,plain,
% 2.85/2.95     (~E(f31(x10791,x10792),f25(x10793))),
% 2.85/2.95     inference(rename_variables,[],[106])).
% 2.85/2.95  cnf(1102,plain,
% 2.85/2.95     (~P2(f42(f42(a34)),f23(x11021))),
% 2.85/2.95     inference(scs_inference,[],[61,106,1079,72,53,73,192,80,67,103,982,411,1039,948,131,150,39,113,112,149,120,123,129,23,41,142])).
% 2.85/2.95  cnf(1103,plain,
% 2.85/2.95     (~P2(f42(f42(x11031)),x11031)),
% 2.85/2.95     inference(rename_variables,[],[192])).
% 2.85/2.95  cnf(1105,plain,
% 2.85/2.95     (~P2(f42(f42(a7)),f27(a41,f23(a3)))),
% 2.85/2.95     inference(scs_inference,[],[61,106,1079,72,53,73,192,1103,80,67,103,982,411,1039,948,131,150,39,113,112,149,120,123,129,23,41,142,43])).
% 2.85/2.95  cnf(1108,plain,
% 2.85/2.95     (E(f32(f26(x11081)),x11081)),
% 2.85/2.95     inference(rename_variables,[],[54])).
% 2.85/2.95  cnf(1109,plain,
% 2.85/2.95     (~P2(f32(f26(f42(a33))),f27(a41,f23(a6)))),
% 2.85/2.95     inference(scs_inference,[],[61,106,1079,88,54,1108,72,53,73,192,1103,80,67,103,982,411,1039,948,936,131,150,39,113,112,149,120,123,129,23,41,142,43,3,42])).
% 2.85/2.95  cnf(1117,plain,
% 2.85/2.95     (P3(f27(a41,f23(a14)),f8(x11171,f44(x11172,a7)))),
% 2.85/2.95     inference(scs_inference,[],[61,100,106,1079,88,54,1108,72,53,73,192,1103,80,67,103,982,411,1008,1039,948,829,936,131,150,39,113,112,149,120,123,129,23,41,142,43,3,42,44,2,151,117,143])).
% 2.85/2.95  cnf(1131,plain,
% 2.85/2.95     (E(f8(f27(a41,f23(a3)),x11311),f8(a7,x11311))),
% 2.85/2.95     inference(scs_inference,[],[61,100,106,1079,88,54,1108,72,53,73,192,1103,80,67,103,982,411,1008,1039,948,829,936,627,131,150,39,113,112,149,120,123,129,23,41,142,43,3,42,44,2,151,117,143,132,126,136,116,115,15,5,24])).
% 2.85/2.95  cnf(1155,plain,
% 2.85/2.95     (E(f29(f44(x11551,x11552)),x11552)),
% 2.85/2.95     inference(rename_variables,[],[74])).
% 2.85/2.95  cnf(1159,plain,
% 2.85/2.95     (P2(x11591,f42(x11591))),
% 2.85/2.95     inference(rename_variables,[],[182])).
% 2.85/2.95  cnf(1170,plain,
% 2.85/2.95     (E(x11701,f29(f44(x11702,x11701)))),
% 2.85/2.95     inference(scs_inference,[],[62,74,1155,72,182,1159,58,101,69,1117,1109,1131,781,1048,1041,59,112,113,120,40,123,142,23,42,43,3,44,2])).
% 2.85/2.95  cnf(1171,plain,
% 2.85/2.95     (P4(a14,a22,f29(f44(x11711,a16)),a14)),
% 2.85/2.95     inference(scs_inference,[],[62,74,1155,72,182,1159,58,101,69,1117,1109,1131,781,1048,1041,59,112,113,120,40,123,142,23,42,43,3,44,2,1012])).
% 2.85/2.95  cnf(1172,plain,
% 2.85/2.95     (P4(a14,a22,f29(f44(x11721,a16)),a15)),
% 2.85/2.95     inference(scs_inference,[],[62,74,1155,72,182,1159,58,101,69,1117,1109,1131,781,1048,1041,59,112,113,120,40,123,142,23,42,43,3,44,2,1012,502])).
% 2.85/2.95  cnf(1207,plain,
% 2.85/2.95     (E(x12071,f29(f44(x12072,x12071)))),
% 2.85/2.95     inference(rename_variables,[],[1170])).
% 2.85/2.95  cnf(1209,plain,
% 2.85/2.95     (E(x12091,f29(f44(x12092,x12091)))),
% 2.85/2.95     inference(rename_variables,[],[1170])).
% 2.85/2.95  cnf(1210,plain,
% 2.85/2.95     (P1(f29(f44(x12101,a1)))),
% 2.85/2.95     inference(scs_inference,[],[1170,1207,1209,504,503,288])).
% 2.85/2.95  cnf(1211,plain,
% 2.85/2.95     (E(x12111,f29(f44(x12112,x12111)))),
% 2.85/2.95     inference(rename_variables,[],[1170])).
% 2.85/2.95  cnf(1212,plain,
% 2.85/2.95     (P3(f27(a11,f23(a14)),f44(x12121,a15))),
% 2.85/2.95     inference(scs_inference,[],[62,1170,1207,1209,504,503,288,131])).
% 2.85/2.95  cnf(1215,plain,
% 2.85/2.95     (E(x12151,f29(f44(x12152,x12151)))),
% 2.85/2.95     inference(rename_variables,[],[1170])).
% 2.85/2.95  cnf(1222,plain,
% 2.85/2.95     (P2(f32(f25(x12221)),x12221)),
% 2.85/2.95     inference(scs_inference,[],[62,53,73,75,82,1170,1207,1209,1211,504,503,288,131,49,112,113,120])).
% 2.85/2.95  cnf(1224,plain,
% 2.85/2.95     (P2(f27(a41,f23(a3)),f42(f42(a7)))),
% 2.85/2.95     inference(scs_inference,[],[62,53,73,75,82,1170,1207,1209,1211,1105,504,503,288,131,49,112,113,120,123])).
% 2.85/2.95  cnf(1226,plain,
% 2.85/2.95     (~P3(x12261,f29(f44(x12262,a1)))),
% 2.85/2.95     inference(scs_inference,[],[62,53,73,74,75,102,82,1170,1207,1209,1211,1105,504,503,288,131,49,112,113,120,123,45])).
% 2.85/2.95  cnf(1229,plain,
% 2.85/2.95     (E(x12291,f29(f44(x12292,x12291)))),
% 2.85/2.95     inference(rename_variables,[],[1170])).
% 2.85/2.95  cnf(1230,plain,
% 2.85/2.95     (~P2(a34,f27(a39,f23(a3)))),
% 2.85/2.95     inference(scs_inference,[],[62,53,73,74,75,67,102,82,1170,1207,1209,1211,1215,1105,598,547,504,503,288,131,49,112,113,120,123,45,40,142])).
% 2.85/2.95  cnf(1237,plain,
% 2.85/2.95     (~E(f42(a46),f42(f42(f23(x12371))))),
% 2.85/2.95     inference(scs_inference,[],[62,186,53,73,192,74,68,75,67,102,82,1170,1207,1209,1211,1215,350,1105,598,547,861,504,503,288,131,49,112,113,120,123,45,40,142,23,50,44,42])).
% 2.85/2.95  cnf(1238,plain,
% 2.85/2.95     (~P2(f42(f42(x12381)),x12381)),
% 2.85/2.95     inference(rename_variables,[],[192])).
% 2.85/2.95  cnf(1244,plain,
% 2.85/2.95     (P4(a14,f29(f44(x12441,a22)),a16,f27(a11,f23(a14)))),
% 2.85/2.95     inference(scs_inference,[],[62,107,186,53,73,192,1238,74,184,68,75,182,67,102,82,1170,1207,1209,1211,1215,1229,350,1105,598,547,861,504,503,288,131,49,112,113,120,123,45,40,142,23,50,44,42,43,3,2,957])).
% 2.85/2.95  cnf(1245,plain,
% 2.85/2.95     (E(x12451,f29(f44(x12452,x12451)))),
% 2.85/2.95     inference(rename_variables,[],[1170])).
% 2.85/2.95  cnf(1247,plain,
% 2.85/2.95     (E(x12471,f29(f44(x12472,x12471)))),
% 2.85/2.95     inference(rename_variables,[],[1170])).
% 2.85/2.95  cnf(1249,plain,
% 2.85/2.95     (E(x12491,f29(f44(x12492,x12491)))),
% 2.85/2.95     inference(rename_variables,[],[1170])).
% 2.85/2.95  cnf(1264,plain,
% 2.85/2.95     (E(x12641,f29(f44(x12642,x12641)))),
% 2.85/2.95     inference(rename_variables,[],[1170])).
% 2.85/2.95  cnf(1283,plain,
% 2.85/2.95     (~P2(f42(f42(f42(a34))),f42(f23(x12831)))),
% 2.85/2.95     inference(scs_inference,[],[62,107,186,53,73,192,1238,74,184,68,75,182,67,70,102,181,82,1170,1207,1209,1211,1215,1229,1245,1247,1249,1264,350,1105,1171,1102,790,598,540,880,547,861,56,55,59,504,503,288,131,49,112,113,120,123,45,40,142,23,50,44,42,43,3,2,957,956,943,654,34,32,29,18,13,28,14,30,25,17,11,6,46,125,47,39,146,180,343,148,35,26,141])).
% 2.85/2.95  cnf(1293,plain,
% 2.85/2.95     (E(x12931,f29(f44(x12932,x12931)))),
% 2.85/2.95     inference(rename_variables,[],[1170])).
% 2.85/2.95  cnf(1294,plain,
% 2.85/2.95     (~P2(f42(f42(f42(a34))),f23(x12941))),
% 2.85/2.95     inference(scs_inference,[],[1226,1283,1210,1244,1170,147,48,129])).
% 2.85/2.95  cnf(1296,plain,
% 2.85/2.95     (~E(f42(f42(f42(a34))),f42(f23(x12961)))),
% 2.85/2.95     inference(scs_inference,[],[1226,1283,1210,1244,1170,147,48,129,120])).
% 2.85/2.95  cnf(1301,plain,
% 2.85/2.95     (E(f24(f8(x13011,x13012)),x13011)),
% 2.85/2.95     inference(rename_variables,[],[72])).
% 2.85/2.95  cnf(1306,plain,
% 2.85/2.95     (E(x13061,f29(f44(x13062,x13061)))),
% 2.85/2.95     inference(rename_variables,[],[1170])).
% 2.85/2.95  cnf(1309,plain,
% 2.85/2.95     (~P2(f24(f8(f42(x13091),x13092)),x13091)),
% 2.85/2.95     inference(scs_inference,[],[72,1301,63,111,1226,1283,1210,1237,1244,697,619,1170,1293,366,652,727,147,48,129,120,123,40,142,23,50,44,42])).
% 2.85/2.95  cnf(1310,plain,
% 2.85/2.95     (E(f24(f8(x13101,x13102)),x13101)),
% 2.85/2.95     inference(rename_variables,[],[72])).
% 2.85/2.95  cnf(1311,plain,
% 2.85/2.95     (~P2(f42(f42(f23(a22))),f27(a39,f23(a14)))),
% 2.85/2.95     inference(scs_inference,[],[64,72,1301,192,63,111,1226,1283,1210,1237,1244,697,619,1170,1293,366,652,727,147,48,129,120,123,40,142,23,50,44,42,43])).
% 2.85/2.95  cnf(1315,plain,
% 2.85/2.95     (E(x13151,f24(f8(x13151,x13152)))),
% 2.85/2.95     inference(scs_inference,[],[64,86,72,1301,1310,192,63,111,1226,1283,1210,1237,1244,697,619,1170,1293,1306,366,652,727,147,48,129,120,123,40,142,23,50,44,42,43,3,2])).
% 2.85/2.95  cnf(1329,plain,
% 2.85/2.95     (P2(f42(f32(f25(x13291))),f42(x13291))),
% 2.85/2.95     inference(scs_inference,[],[64,108,86,72,1301,1310,192,63,102,111,1222,1226,1283,1210,1224,1212,1237,1244,697,619,1170,1293,1306,366,652,727,55,56,59,147,48,129,120,123,40,142,23,50,44,42,43,3,2,144,114,138,150,141,343,135])).
% 2.85/2.95  cnf(1345,plain,
% 2.85/2.95     (~P2(f42(a34),f42(f27(a39,f23(a3))))),
% 2.85/2.95     inference(scs_inference,[],[110,73,102,82,1315,1230,150,46,33,27,141])).
% 2.85/2.95  cnf(1349,plain,
% 2.85/2.95     (P2(f42(f32(f25(x13491))),f42(f42(x13491)))),
% 2.85/2.95     inference(scs_inference,[],[110,73,102,82,1329,1309,1315,1230,150,46,33,27,141,123,129])).
% 2.85/2.95  cnf(1353,plain,
% 2.85/2.95     (P2(a34,f23(a22))),
% 2.85/2.95     inference(scs_inference,[],[64,110,73,77,102,82,1329,1309,1315,1230,150,46,33,27,141,123,129,120,142])).
% 2.85/2.95  cnf(1357,plain,
% 2.85/2.95     (P2(f8(x13571,f44(x13572,x13573)),f44(f8(x13571,x13572),x13573))),
% 2.85/2.95     inference(scs_inference,[],[64,110,80,73,77,58,102,82,1329,1309,1315,1230,150,46,33,27,141,123,129,120,142,23,4,42])).
% 2.85/2.95  cnf(1359,plain,
% 2.85/2.95     (P2(a34,f23(a13))),
% 2.85/2.95     inference(scs_inference,[],[64,110,76,80,73,79,77,58,102,82,1329,1309,1315,1230,150,46,33,27,141,123,129,120,142,23,4,42,43])).
% 2.85/2.95  cnf(1411,plain,
% 2.85/2.95     (E(x14111,f24(f8(x14111,x14112)))),
% 2.85/2.95     inference(rename_variables,[],[1315])).
% 2.85/2.95  cnf(1419,plain,
% 2.85/2.95     (~P2(f42(a34),f27(a39,f23(a3)))),
% 2.85/2.95     inference(scs_inference,[],[106,51,91,67,1349,1311,656,634,1345,1353,1315,150,149,39,141,134,123,129])).
% 2.85/2.95  cnf(1425,plain,
% 2.85/2.95     (~P2(f27(a39,f23(a14)),f27(a39,f23(a3)))),
% 2.85/2.95     inference(scs_inference,[],[106,51,91,103,77,67,1349,1311,656,634,1345,1353,415,1315,1230,150,149,39,141,134,123,129,41,120,142])).
% 2.85/2.95  cnf(1435,plain,
% 2.85/2.95     (E(x14351,f32(f26(x14351)))),
% 2.85/2.95     inference(scs_inference,[],[65,106,51,91,74,54,184,192,103,77,182,67,1349,1311,656,634,1345,1353,1296,415,1315,1230,150,149,39,141,134,123,129,41,120,142,23,43,44,42,3,2])).
% 2.85/2.95  cnf(1437,plain,
% 2.85/2.95     (E(x14371,f24(f8(x14371,x14372)))),
% 2.85/2.95     inference(rename_variables,[],[1315])).
% 2.85/2.95  cnf(1448,plain,
% 2.85/2.95     (P3(f27(a39,f23(a3)),f8(f23(a12),x14481))),
% 2.85/2.95     inference(scs_inference,[],[65,198,106,51,91,74,54,184,192,103,77,182,67,1349,1311,656,634,1345,1353,1172,1296,415,1315,1411,1437,1230,864,750,150,149,39,141,134,123,129,41,120,142,23,43,44,42,3,2,1012,545,502,161,335,133,130])).
% 2.85/2.95  cnf(1501,plain,
% 2.85/2.95     ($false),
% 2.85/2.95     inference(scs_inference,[],[65,94,72,80,192,68,67,1357,1435,1425,1448,1419,1359,1294,612,141,134,123,129,120,142,23,44,42,43,3,2]),
% 2.85/2.95     ['proof']).
% 2.85/2.95  % SZS output end Proof
% 2.85/2.95  % Total time :2.280000s
%------------------------------------------------------------------------------