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CSE---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE---1.7
% Problem  : SEU121+2 : TPTP v8.2.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s

% Computer : n032.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon Jun 24 15:01:08 EDT 2024

% Result   : Theorem 58.51s 58.67s
% Output   : CNFRefutation 58.64s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08  % Problem    : SEU121+2 : TPTP v8.2.0. Released v3.3.0.
% 0.00/0.08  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.07/0.26  % Computer : n032.cluster.edu
% 0.07/0.26  % Model    : x86_64 x86_64
% 0.07/0.26  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26  % Memory   : 8042.1875MB
% 0.07/0.26  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.27  % CPULimit   : 300
% 0.07/0.27  % WCLimit    : 300
% 0.07/0.27  % DateTime   : Fri Jun 21 13:37:38 EDT 2024
% 0.07/0.27  % CPUTime    : 
% 0.11/0.45  start to proof:theBenchmark
% 58.51/58.65  %-------------------------------------------
% 58.51/58.65  % File        :CSE---1.7
% 58.51/58.65  % Problem     :theBenchmark
% 58.51/58.65  % Transform   :cnf
% 58.51/58.65  % Format      :tptp:raw
% 58.51/58.65  % Command     :java -jar mcs_scs.jar %d %s
% 58.51/58.65  
% 58.51/58.65  % Result      :Theorem 58.170000s
% 58.51/58.65  % Output      :CNFRefutation 58.170000s
% 58.51/58.65  %-------------------------------------------
% 58.51/58.66  %------------------------------------------------------------------------------
% 58.51/58.66  % File     : SEU121+2 : TPTP v8.2.0. Released v3.3.0.
% 58.51/58.66  % Domain   : Set theory
% 58.51/58.66  % Problem  : MPTP chainy problem t1_xboole_1
% 58.51/58.66  % Version  : [Urb07] axioms : Especial.
% 58.51/58.66  % English  :
% 58.51/58.66  
% 58.51/58.66  % Refs     : [Ban01] Bancerek et al. (2001), On the Characterizations of Co
% 58.51/58.66  %          : [Urb07] Urban (2006), Email to G. Sutcliffe
% 58.51/58.66  % Source   : [Urb07]
% 58.51/58.66  % Names    : chainy-t1_xboole_1 [Urb07]
% 58.51/58.66  
% 58.51/58.66  % Status   : Theorem
% 58.51/58.66  % Rating   : 0.08 v8.1.0, 0.03 v7.2.0, 0.00 v7.0.0, 0.07 v6.4.0, 0.12 v6.3.0, 0.08 v6.2.0, 0.12 v6.1.0, 0.10 v6.0.0, 0.17 v5.5.0, 0.11 v5.4.0, 0.18 v5.3.0, 0.22 v5.2.0, 0.05 v5.0.0, 0.08 v4.1.0, 0.09 v4.0.1, 0.13 v4.0.0, 0.17 v3.7.0, 0.10 v3.5.0, 0.11 v3.4.0, 0.16 v3.3.0
% 58.51/58.66  % Syntax   : Number of formulae    :   20 (   8 unt;   0 def)
% 58.51/58.66  %            Number of atoms       :   43 (   7 equ)
% 58.51/58.66  %            Maximal formula atoms :    6 (   2 avg)
% 58.51/58.66  %            Number of connectives :   37 (  14   ~;   0   |;  13   &)
% 58.51/58.66  %                                         (   5 <=>;   5  =>;   0  <=;   0 <~>)
% 58.51/58.66  %            Maximal formula depth :    9 (   4 avg)
% 58.51/58.66  %            Maximal term depth    :    2 (   1 avg)
% 58.51/58.66  %            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
% 58.51/58.66  %            Number of functors    :    2 (   2 usr;   1 con; 0-2 aty)
% 58.51/58.66  %            Number of variables   :   39 (  35   !;   4   ?)
% 58.51/58.66  % SPC      : FOF_THM_RFO_SEQ
% 58.51/58.66  
% 58.51/58.66  % Comments : Translated by MPTP 0.2 from the original problem in the Mizar
% 58.51/58.66  %            library, www.mizar.org
% 58.51/58.66  %------------------------------------------------------------------------------
% 58.51/58.66  fof(antisymmetry_r2_hidden,axiom,
% 58.51/58.66      ! [A,B] :
% 58.51/58.66        ( in(A,B)
% 58.51/58.66       => ~ in(B,A) ) ).
% 58.51/58.66  
% 58.51/58.66  fof(commutativity_k3_xboole_0,axiom,
% 58.51/58.66      ! [A,B] : set_intersection2(A,B) = set_intersection2(B,A) ).
% 58.51/58.66  
% 58.51/58.66  fof(d1_xboole_0,axiom,
% 58.51/58.66      ! [A] :
% 58.51/58.66        ( A = empty_set
% 58.51/58.66      <=> ! [B] : ~ in(B,A) ) ).
% 58.51/58.66  
% 58.51/58.66  fof(d3_tarski,axiom,
% 58.51/58.66      ! [A,B] :
% 58.51/58.66        ( subset(A,B)
% 58.51/58.66      <=> ! [C] :
% 58.51/58.66            ( in(C,A)
% 58.51/58.66           => in(C,B) ) ) ).
% 58.51/58.66  
% 58.51/58.66  fof(d3_xboole_0,axiom,
% 58.51/58.66      ! [A,B,C] :
% 58.51/58.66        ( C = set_intersection2(A,B)
% 58.51/58.66      <=> ! [D] :
% 58.51/58.66            ( in(D,C)
% 58.51/58.66          <=> ( in(D,A)
% 58.51/58.66              & in(D,B) ) ) ) ).
% 58.51/58.66  
% 58.51/58.66  fof(d7_xboole_0,axiom,
% 58.51/58.66      ! [A,B] :
% 58.51/58.66        ( disjoint(A,B)
% 58.51/58.66      <=> set_intersection2(A,B) = empty_set ) ).
% 58.51/58.66  
% 58.51/58.66  fof(dt_k1_xboole_0,axiom,
% 58.51/58.66      $true ).
% 58.51/58.66  
% 58.51/58.66  fof(dt_k3_xboole_0,axiom,
% 58.51/58.66      $true ).
% 58.51/58.66  
% 58.51/58.66  fof(fc1_xboole_0,axiom,
% 58.51/58.66      empty(empty_set) ).
% 58.51/58.66  
% 58.51/58.66  fof(idempotence_k3_xboole_0,axiom,
% 58.51/58.66      ! [A,B] : set_intersection2(A,A) = A ).
% 58.51/58.66  
% 58.51/58.66  fof(rc1_xboole_0,axiom,
% 58.51/58.66      ? [A] : empty(A) ).
% 58.51/58.66  
% 58.51/58.66  fof(rc2_xboole_0,axiom,
% 58.51/58.66      ? [A] : ~ empty(A) ).
% 58.51/58.66  
% 58.51/58.66  fof(reflexivity_r1_tarski,axiom,
% 58.51/58.66      ! [A,B] : subset(A,A) ).
% 58.51/58.66  
% 58.51/58.66  fof(symmetry_r1_xboole_0,axiom,
% 58.51/58.66      ! [A,B] :
% 58.51/58.66        ( disjoint(A,B)
% 58.51/58.66       => disjoint(B,A) ) ).
% 58.51/58.66  
% 58.51/58.66  fof(t1_xboole_1,conjecture,
% 58.51/58.66      ! [A,B,C] :
% 58.51/58.66        ( ( subset(A,B)
% 58.51/58.66          & subset(B,C) )
% 58.51/58.66       => subset(A,C) ) ).
% 58.51/58.66  
% 58.51/58.66  fof(t3_xboole_0,lemma,
% 58.51/58.66      ! [A,B] :
% 58.51/58.66        ( ~ ( ~ disjoint(A,B)
% 58.51/58.66            & ! [C] :
% 58.51/58.66                ~ ( in(C,A)
% 58.51/58.66                  & in(C,B) ) )
% 58.51/58.66        & ~ ( ? [C] :
% 58.51/58.66                ( in(C,A)
% 58.51/58.66                & in(C,B) )
% 58.51/58.66            & disjoint(A,B) ) ) ).
% 58.51/58.66  
% 58.51/58.66  fof(t4_xboole_0,lemma,
% 58.51/58.66      ! [A,B] :
% 58.51/58.66        ( ~ ( ~ disjoint(A,B)
% 58.51/58.66            & ! [C] : ~ in(C,set_intersection2(A,B)) )
% 58.51/58.66        & ~ ( ? [C] : in(C,set_intersection2(A,B))
% 58.51/58.66            & disjoint(A,B) ) ) ).
% 58.51/58.66  
% 58.51/58.66  fof(t6_boole,axiom,
% 58.51/58.66      ! [A] :
% 58.51/58.66        ( empty(A)
% 58.51/58.66       => A = empty_set ) ).
% 58.51/58.66  
% 58.51/58.66  fof(t7_boole,axiom,
% 58.51/58.66      ! [A,B] :
% 58.51/58.66        ~ ( in(A,B)
% 58.51/58.66          & empty(B) ) ).
% 58.51/58.67  
% 58.51/58.67  fof(t8_boole,axiom,
% 58.51/58.67      ! [A,B] :
% 58.51/58.67        ~ ( empty(A)
% 58.51/58.67          & A != B
% 58.51/58.67          & empty(B) ) ).
% 58.51/58.67  
% 58.51/58.67  %------------------------------------------------------------------------------
% 58.51/58.67  %-------------------------------------------
% 58.51/58.67  % Proof found
% 58.51/58.67  % SZS status Theorem for theBenchmark
% 58.51/58.67  % SZS output start Proof
% 58.51/58.67  %ClaNum:54(EqnAxiom:22)
% 58.51/58.67  %VarNum:143(SingletonVarNum:60)
% 58.51/58.67  %MaxLitNum:4
% 58.51/58.67  %MaxfuncDepth:1
% 58.51/58.67  %SharedTerms:12
% 58.51/58.67  %goalClause: 25 26 31
% 58.51/58.67  %singleGoalClaCount:3
% 58.51/58.67  [23]P1(a1)
% 58.51/58.67  [24]P1(a2)
% 58.51/58.67  [25]P3(a7,a9)
% 58.51/58.67  [26]P3(a9,a10)
% 58.51/58.67  [30]~P1(a8)
% 58.51/58.67  [31]~P3(a7,a10)
% 58.51/58.67  [27]P3(x271,x271)
% 58.51/58.67  [28]E(f11(x281,x281),x281)
% 58.51/58.67  [29]E(f11(x291,x292),f11(x292,x291))
% 58.51/58.67  [32]~P1(x321)+E(x321,a1)
% 58.51/58.67  [34]P4(f3(x341),x341)+E(x341,a1)
% 58.51/58.67  [35]~P4(x352,x351)+~E(x351,a1)
% 58.51/58.67  [36]~P1(x361)+~P4(x362,x361)
% 58.51/58.67  [39]~P2(x392,x391)+P2(x391,x392)
% 58.51/58.67  [40]~P4(x402,x401)+~P4(x401,x402)
% 58.51/58.67  [37]~P2(x371,x372)+E(f11(x371,x372),a1)
% 58.51/58.67  [38]P2(x381,x382)+~E(f11(x381,x382),a1)
% 58.51/58.67  [41]P3(x411,x412)+P4(f5(x411,x412),x411)
% 58.51/58.67  [42]P2(x421,x422)+P4(f12(x421,x422),x422)
% 58.51/58.67  [43]P2(x431,x432)+P4(f12(x431,x432),x431)
% 58.51/58.67  [48]P3(x481,x482)+~P4(f5(x481,x482),x482)
% 58.51/58.67  [49]P2(x491,x492)+P4(f4(x491,x492),f11(x491,x492))
% 58.51/58.67  [51]~P2(x511,x512)+~P4(x513,f11(x511,x512))
% 58.51/58.67  [33]~P1(x332)+~P1(x331)+E(x331,x332)
% 58.51/58.67  [44]~P3(x443,x442)+P4(x441,x442)+~P4(x441,x443)
% 58.51/58.67  [47]~P2(x473,x472)+~P4(x471,x472)+~P4(x471,x473)
% 58.51/58.67  [52]P4(f6(x522,x523,x521),x521)+P4(f6(x522,x523,x521),x523)+E(x521,f11(x522,x523))
% 58.51/58.67  [53]P4(f6(x532,x533,x531),x531)+P4(f6(x532,x533,x531),x532)+E(x531,f11(x532,x533))
% 58.51/58.67  [45]~P4(x451,x453)+P4(x451,x452)+~E(x453,f11(x454,x452))
% 58.51/58.67  [46]~P4(x461,x463)+P4(x461,x462)+~E(x463,f11(x462,x464))
% 58.51/58.67  [54]~P4(f6(x542,x543,x541),x541)+~P4(f6(x542,x543,x541),x543)+~P4(f6(x542,x543,x541),x542)+E(x541,f11(x542,x543))
% 58.51/58.67  [50]~P4(x501,x504)+~P4(x501,x503)+P4(x501,x502)+~E(x502,f11(x503,x504))
% 58.51/58.67  %EqnAxiom
% 58.51/58.67  [1]E(x11,x11)
% 58.51/58.67  [2]E(x22,x21)+~E(x21,x22)
% 58.51/58.67  [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 58.51/58.67  [4]~E(x41,x42)+E(f11(x41,x43),f11(x42,x43))
% 58.51/58.67  [5]~E(x51,x52)+E(f11(x53,x51),f11(x53,x52))
% 58.51/58.67  [6]~E(x61,x62)+E(f6(x61,x63,x64),f6(x62,x63,x64))
% 58.51/58.67  [7]~E(x71,x72)+E(f6(x73,x71,x74),f6(x73,x72,x74))
% 58.51/58.67  [8]~E(x81,x82)+E(f6(x83,x84,x81),f6(x83,x84,x82))
% 58.51/58.67  [9]~E(x91,x92)+E(f4(x91,x93),f4(x92,x93))
% 58.51/58.67  [10]~E(x101,x102)+E(f4(x103,x101),f4(x103,x102))
% 58.51/58.67  [11]~E(x111,x112)+E(f3(x111),f3(x112))
% 58.51/58.67  [12]~E(x121,x122)+E(f5(x121,x123),f5(x122,x123))
% 58.51/58.67  [13]~E(x131,x132)+E(f5(x133,x131),f5(x133,x132))
% 58.51/58.67  [14]~E(x141,x142)+E(f12(x141,x143),f12(x142,x143))
% 58.51/58.67  [15]~E(x151,x152)+E(f12(x153,x151),f12(x153,x152))
% 58.51/58.67  [16]~P1(x161)+P1(x162)+~E(x161,x162)
% 58.51/58.67  [17]P4(x172,x173)+~E(x171,x172)+~P4(x171,x173)
% 58.51/58.67  [18]P4(x183,x182)+~E(x181,x182)+~P4(x183,x181)
% 58.51/58.67  [19]P3(x192,x193)+~E(x191,x192)+~P3(x191,x193)
% 58.51/58.67  [20]P3(x203,x202)+~E(x201,x202)+~P3(x203,x201)
% 58.51/58.67  [21]P2(x212,x213)+~E(x211,x212)+~P2(x211,x213)
% 58.51/58.67  [22]P2(x223,x222)+~E(x221,x222)+~P2(x223,x221)
% 58.51/58.67  
% 58.51/58.67  %-------------------------------------------
% 58.51/58.67  cnf(55,plain,
% 58.51/58.67     (~P4(x551,a1)),
% 58.51/58.67     inference(equality_inference,[],[35])).
% 58.51/58.67  cnf(56,plain,
% 58.51/58.67     (~P4(x561,f11(x562,x563))+P4(x561,x563)),
% 58.51/58.67     inference(equality_inference,[],[45])).
% 58.51/58.67  cnf(57,plain,
% 58.51/58.67     (~P4(x571,f11(x572,x573))+P4(x571,x572)),
% 58.51/58.67     inference(equality_inference,[],[46])).
% 58.51/58.67  cnf(58,plain,
% 58.51/58.68     (~P4(x581,x582)+~P4(x581,x583)+P4(x581,f11(x583,x582))),
% 58.51/58.68     inference(equality_inference,[],[50])).
% 58.51/58.68  cnf(60,plain,
% 58.51/58.68     (~P4(x601,a1)),
% 58.51/58.68     inference(rename_variables,[],[55])).
% 58.51/58.68  cnf(63,plain,
% 58.51/58.68     (E(f11(x631,x631),x631)),
% 58.51/58.68     inference(rename_variables,[],[28])).
% 58.51/58.68  cnf(65,plain,
% 58.51/58.68     (~P4(x651,a2)),
% 58.51/58.68     inference(scs_inference,[],[55,28,24,41,35,36])).
% 58.51/58.68  cnf(67,plain,
% 58.51/58.68     (P2(x671,a1)),
% 58.51/58.68     inference(scs_inference,[],[55,60,28,24,41,35,36,42])).
% 58.51/58.68  cnf(68,plain,
% 58.51/58.68     (~P4(x681,a1)),
% 58.51/58.68     inference(rename_variables,[],[55])).
% 58.51/58.68  cnf(70,plain,
% 58.51/58.68     (P2(a1,x701)),
% 58.51/58.68     inference(scs_inference,[],[55,60,68,28,24,41,35,36,42,43])).
% 58.51/58.68  cnf(71,plain,
% 58.51/58.68     (~P4(x711,a1)),
% 58.51/58.68     inference(rename_variables,[],[55])).
% 58.51/58.68  cnf(73,plain,
% 58.51/58.68     (~P4(x731,f11(x732,a1))),
% 58.51/58.68     inference(scs_inference,[],[55,60,68,71,28,24,41,35,36,42,43,56])).
% 58.51/58.68  cnf(75,plain,
% 58.51/58.68     (~P4(x751,f11(a1,x752))),
% 58.51/58.68     inference(scs_inference,[],[55,60,68,71,28,24,41,35,36,42,43,56,57])).
% 58.51/58.68  cnf(77,plain,
% 58.51/58.68     (E(x771,f11(x771,x771))),
% 58.51/58.68     inference(scs_inference,[],[55,60,68,71,28,63,24,41,35,36,42,43,56,57,2])).
% 58.51/58.68  cnf(78,plain,
% 58.51/58.68     (P3(f11(a7,a7),a9)),
% 58.51/58.68     inference(scs_inference,[],[25,55,60,68,71,28,63,24,41,35,36,42,43,56,57,2,19])).
% 58.51/58.68  cnf(79,plain,
% 58.51/58.68     (~E(a9,a10)),
% 58.51/58.68     inference(scs_inference,[],[25,31,55,60,68,71,28,63,24,41,35,36,42,43,56,57,2,19,20])).
% 58.51/58.68  cnf(91,plain,
% 58.51/58.68     (P2(x911,f11(x912,a1))),
% 58.51/58.68     inference(scs_inference,[],[73,56,42])).
% 58.51/58.68  cnf(92,plain,
% 58.51/58.68     (~P4(x921,f11(x922,a1))),
% 58.51/58.68     inference(rename_variables,[],[73])).
% 58.51/58.68  cnf(94,plain,
% 58.51/58.68     (P3(f11(x941,a1),x942)),
% 58.51/58.68     inference(scs_inference,[],[73,92,56,42,41])).
% 58.51/58.68  cnf(95,plain,
% 58.51/58.68     (~P4(x951,f11(x952,a1))),
% 58.51/58.68     inference(rename_variables,[],[73])).
% 58.51/58.68  cnf(99,plain,
% 58.51/58.68     (P2(f11(x991,a1),x992)),
% 58.51/58.68     inference(scs_inference,[],[73,92,95,56,42,41,57,43])).
% 58.51/58.68  cnf(102,plain,
% 58.51/58.68     (P1(f11(a1,a1))),
% 58.51/58.68     inference(scs_inference,[],[77,73,92,95,23,56,42,41,57,43,16])).
% 58.51/58.68  cnf(103,plain,
% 58.51/58.68     (E(x1031,f11(x1031,x1031))),
% 58.51/58.68     inference(rename_variables,[],[77])).
% 58.51/58.68  cnf(105,plain,
% 58.51/58.68     (E(f11(x1051,x1052),f11(x1052,x1051))),
% 58.51/58.68     inference(rename_variables,[],[29])).
% 58.51/58.68  cnf(107,plain,
% 58.51/58.68     (P3(a9,f11(a10,a10))),
% 58.51/58.68     inference(scs_inference,[],[26,31,29,77,103,73,92,95,23,56,42,41,57,43,16,21,19,20])).
% 58.51/58.68  cnf(108,plain,
% 58.51/58.68     (E(x1081,f11(x1081,x1081))),
% 58.51/58.68     inference(rename_variables,[],[77])).
% 58.51/58.68  cnf(110,plain,
% 58.51/58.68     (E(f11(x1101,x1102),f11(x1102,x1101))),
% 58.51/58.68     inference(rename_variables,[],[29])).
% 58.51/58.68  cnf(111,plain,
% 58.51/58.68     (E(f11(x1111,x1112),f11(f11(x1112,x1111),f11(x1112,x1111)))),
% 58.51/58.68     inference(scs_inference,[],[26,31,29,105,110,77,103,108,73,92,95,23,56,42,41,57,43,16,21,19,20,22,3])).
% 58.51/58.68  cnf(113,plain,
% 58.51/58.68     (E(f11(f11(x1131,x1132),f11(x1131,x1132)),f11(x1132,x1131))),
% 58.51/58.68     inference(scs_inference,[],[26,31,29,105,110,77,103,108,73,92,95,23,56,42,41,57,43,16,21,19,20,22,3,2])).
% 58.51/58.68  cnf(120,plain,
% 58.51/58.68     (P3(f11(a1,x1201),x1202)),
% 58.51/58.68     inference(scs_inference,[],[75,56,57,41])).
% 58.51/58.68  cnf(123,plain,
% 58.51/58.68     (P2(x1231,a2)),
% 58.51/58.68     inference(scs_inference,[],[75,65,56,57,41,42])).
% 58.51/58.68  cnf(124,plain,
% 58.51/58.68     (~P4(x1241,a2)),
% 58.51/58.68     inference(rename_variables,[],[65])).
% 58.51/58.68  cnf(126,plain,
% 58.51/58.68     (P2(a2,x1261)),
% 58.51/58.68     inference(scs_inference,[],[75,65,124,56,57,41,42,43])).
% 58.51/58.68  cnf(134,plain,
% 58.51/58.68     (P3(x1341,x1341)),
% 58.51/58.68     inference(rename_variables,[],[27])).
% 58.51/58.68  cnf(137,plain,
% 58.51/58.68     (~E(a9,f11(a10,a10))),
% 58.51/58.68     inference(scs_inference,[],[31,79,27,134,75,28,111,65,124,77,102,56,57,41,42,43,16,21,19,20,3])).
% 58.51/58.68  cnf(163,plain,
% 58.51/58.68     (~P4(x1631,f11(x1632,a2))),
% 58.51/58.68     inference(scs_inference,[],[65,56])).
% 58.51/58.68  cnf(165,plain,
% 58.51/58.68     (P2(x1651,f11(x1652,a2))),
% 58.51/58.68     inference(scs_inference,[],[65,56,42])).
% 58.51/58.68  cnf(168,plain,
% 58.51/58.68     (~P4(x1681,a2)),
% 58.51/58.68     inference(rename_variables,[],[65])).
% 58.51/58.68  cnf(170,plain,
% 58.51/58.68     (~E(f11(x1701,a1),a7)),
% 58.51/58.68     inference(scs_inference,[],[31,94,65,56,42,57,19])).
% 58.51/58.68  cnf(172,plain,
% 58.51/58.68     (P3(f11(a7,a7),f11(a9,a9))),
% 58.51/58.68     inference(scs_inference,[],[31,94,78,65,77,56,42,57,19,20])).
% 58.51/58.68  cnf(183,plain,
% 58.51/58.68     (~P1(a7)),
% 58.51/58.68     inference(scs_inference,[],[31,94,78,29,113,137,65,168,77,102,56,42,57,19,20,22,3,41,52,33])).
% 58.51/58.68  cnf(203,plain,
% 58.51/58.68     (~P4(x2031,f11(x2032,f11(x2033,a2)))),
% 58.51/58.68     inference(scs_inference,[],[163,56])).
% 58.51/58.68  cnf(206,plain,
% 58.51/58.68     (~P4(x2061,f11(x2062,a2))),
% 58.51/58.68     inference(rename_variables,[],[163])).
% 58.51/58.68  cnf(209,plain,
% 58.51/58.68     (~P4(x2091,f11(x2092,a2))),
% 58.51/58.68     inference(rename_variables,[],[163])).
% 58.51/58.68  cnf(211,plain,
% 58.51/58.68     (~P4(x2111,f11(f11(x2112,a2),x2113))),
% 58.51/58.68     inference(scs_inference,[],[163,206,209,56,41,43,57])).
% 58.51/58.68  cnf(216,plain,
% 58.51/58.68     (E(f11(x2161,x2162),f11(x2162,x2161))),
% 58.51/58.68     inference(rename_variables,[],[29])).
% 58.51/58.68  cnf(221,plain,
% 58.51/58.68     (P2(x2211,f11(x2212,f11(x2213,a2)))),
% 58.51/58.68     inference(scs_inference,[],[31,120,29,216,137,163,206,209,56,41,43,57,19,21,42,33,22])).
% 58.51/58.68  cnf(225,plain,
% 58.51/58.68     (~P4(x2251,f11(a2,x2252))),
% 58.51/58.68     inference(scs_inference,[],[65,57])).
% 58.51/58.68  cnf(230,plain,
% 58.51/58.68     (E(f11(x2301,x2302),f11(f11(x2302,x2301),f11(x2302,x2301)))),
% 58.51/58.68     inference(rename_variables,[],[111])).
% 58.51/58.68  cnf(231,plain,
% 58.51/58.68     (P2(f11(f11(a1,x2311),f11(a1,x2311)),x2312)),
% 58.51/58.68     inference(scs_inference,[],[172,111,230,99,65,57,41,20,21])).
% 58.51/58.68  cnf(245,plain,
% 58.51/58.68     (P2(f11(x2451,f11(a2,x2452)),x2453)),
% 58.51/58.68     inference(scs_inference,[],[225,56,43])).
% 58.51/58.68  cnf(248,plain,
% 58.51/58.68     (E(x2481,f11(x2481,x2481))),
% 58.51/58.68     inference(rename_variables,[],[77])).
% 58.51/58.68  cnf(250,plain,
% 58.51/58.68     (E(x2501,f11(x2501,x2501))),
% 58.51/58.68     inference(rename_variables,[],[77])).
% 58.51/58.68  cnf(251,plain,
% 58.51/58.68     (P2(x2511,f11(f11(x2512,a1),f11(x2512,a1)))),
% 58.51/58.68     inference(scs_inference,[],[107,77,248,250,99,91,225,56,43,20,21,22])).
% 58.51/58.68  cnf(252,plain,
% 58.51/58.68     (E(x2521,f11(x2521,x2521))),
% 58.51/58.68     inference(rename_variables,[],[77])).
% 58.51/58.68  cnf(253,plain,
% 58.51/58.68     (P3(f11(a9,a9),f11(a10,a10))),
% 58.51/58.68     inference(scs_inference,[],[107,77,248,250,252,99,91,225,56,43,20,21,22,19])).
% 58.51/58.68  cnf(257,plain,
% 58.51/58.68     (P2(f11(f11(a2,x2571),x2572),x2573)),
% 58.51/58.68     inference(scs_inference,[],[225,57,43])).
% 58.51/58.68  cnf(259,plain,
% 58.51/58.68     (P3(f11(a9,a9),a10)),
% 58.51/58.68     inference(scs_inference,[],[253,28,225,57,43,20])).
% 58.51/58.68  cnf(267,plain,
% 58.51/58.68     (P3(a7,f11(a9,a9))),
% 58.51/58.68     inference(scs_inference,[],[172,28,19])).
% 58.51/58.68  cnf(278,plain,
% 58.51/58.68     (~E(f11(a9,a9),a7)),
% 58.51/58.68     inference(scs_inference,[],[31,259,19])).
% 58.51/58.68  cnf(279,plain,
% 58.51/58.68     (E(f11(a1,x2791),a1)),
% 58.51/58.68     inference(scs_inference,[],[67,39,37])).
% 58.51/58.68  cnf(280,plain,
% 58.51/58.68     (E(a1,f11(a1,x2801))),
% 58.51/58.68     inference(scs_inference,[],[279,2])).
% 58.51/58.68  cnf(281,plain,
% 58.51/58.68     (P1(f11(a1,x2811))),
% 58.51/58.68     inference(scs_inference,[],[23,279,2,16])).
% 58.51/58.68  cnf(282,plain,
% 58.51/58.68     (E(f11(x2821,a1),a1)),
% 58.51/58.68     inference(scs_inference,[],[23,29,279,2,16,3])).
% 58.51/58.68  cnf(285,plain,
% 58.51/58.68     (E(a1,f11(x2851,a1))),
% 58.51/58.68     inference(scs_inference,[],[282,2])).
% 58.51/58.68  cnf(286,plain,
% 58.51/58.68     (P1(f11(x2861,a1))),
% 58.51/58.68     inference(scs_inference,[],[23,282,2,16])).
% 58.51/58.68  cnf(287,plain,
% 58.51/58.68     (E(f11(a1,a1),f11(a1,x2871))),
% 58.51/58.68     inference(scs_inference,[],[23,28,280,282,2,16,3])).
% 58.51/58.68  cnf(291,plain,
% 58.51/58.68     (~P1(f11(a7,a7))),
% 58.51/58.68     inference(scs_inference,[],[28,287,183,2,16])).
% 58.51/58.68  cnf(292,plain,
% 58.51/58.68     (E(f11(x2921,x2921),x2921)),
% 58.51/58.68     inference(rename_variables,[],[28])).
% 58.51/58.68  cnf(293,plain,
% 58.51/58.68     (E(f11(a1,a1),f11(x2931,a1))),
% 58.51/58.68     inference(scs_inference,[],[28,292,287,285,183,2,16,3])).
% 58.51/58.68  cnf(298,plain,
% 58.51/58.68     (E(f11(f11(x2981,x2982),f11(x2981,x2982)),f11(x2982,x2981))),
% 58.51/58.68     inference(rename_variables,[],[113])).
% 58.51/58.68  cnf(299,plain,
% 58.51/58.68     (E(f11(f11(a1,x2991),f11(a1,x2991)),a1)),
% 58.51/58.68     inference(scs_inference,[],[113,298,293,282,291,2,16,3])).
% 58.51/58.68  cnf(302,plain,
% 58.51/58.68     (E(f11(f11(x3021,a1),x3022),f11(a1,x3022))),
% 58.51/58.68     inference(scs_inference,[],[73,34,4])).
% 58.51/58.68  cnf(303,plain,
% 58.51/58.68     (E(f11(a1,x3031),f11(f11(x3032,a1),x3031))),
% 58.51/58.68     inference(scs_inference,[],[302,2])).
% 58.51/58.68  cnf(305,plain,
% 58.51/58.68     (E(f11(x3051,f11(x3052,a1)),f11(a1,x3051))),
% 58.51/58.68     inference(scs_inference,[],[29,302,281,2,16,3])).
% 58.51/58.68  cnf(309,plain,
% 58.51/58.68     (E(f11(a1,x3091),f11(x3091,f11(x3092,a1)))),
% 58.51/58.68     inference(scs_inference,[],[305,2])).
% 58.51/58.68  cnf(315,plain,
% 58.64/58.68     (E(f11(x3151,a1),f11(f11(x3152,a1),x3151))),
% 58.64/58.68     inference(scs_inference,[],[23,29,303,299,2,16,3])).
% 58.64/58.68  cnf(318,plain,
% 58.64/58.68     (~P4(f5(f11(a7,a7),a10),a10)),
% 58.64/58.68     inference(scs_inference,[],[31,28,48,19])).
% 58.64/58.68  cnf(323,plain,
% 58.64/58.68     (E(f11(f11(x3231,a1),x3232),f11(x3232,a1))),
% 58.64/58.68     inference(scs_inference,[],[318,315,56,57,2])).
% 58.64/58.68  cnf(346,plain,
% 58.64/58.68     (E(f11(x3461,f11(x3462,a1)),f11(x3461,a1))),
% 58.64/58.68     inference(scs_inference,[],[29,309,3,2])).
% 58.64/58.68  cnf(560,plain,
% 58.64/58.68     (~E(f11(x5601,a1),f11(a7,a7))),
% 58.64/58.68     inference(scs_inference,[],[170,28,3])).
% 58.64/58.68  cnf(565,plain,
% 58.64/58.68     (~E(a7,f11(x5651,a2))),
% 58.64/58.68     inference(scs_inference,[],[170,163,75,28,3,53,18])).
% 58.64/58.68  cnf(567,plain,
% 58.64/58.68     (P4(f6(a7,a7,f11(a1,a1)),f11(a7,a7))),
% 58.64/58.68     inference(scs_inference,[],[170,163,75,29,28,3,53,18,50])).
% 58.64/58.68  cnf(570,plain,
% 58.64/58.68     (~P2(a7,a7)),
% 58.64/58.68     inference(scs_inference,[],[170,163,75,29,28,3,53,18,50,51])).
% 58.64/58.68  cnf(574,plain,
% 58.64/58.68     (~P2(f11(a7,a7),f11(a7,a7))),
% 58.64/58.68     inference(scs_inference,[],[170,163,75,29,28,3,53,18,50,51,40,47])).
% 58.64/58.68  cnf(576,plain,
% 58.64/58.68     (P4(f6(a7,a7,f11(a1,a1)),a9)),
% 58.64/58.68     inference(scs_inference,[],[170,25,163,75,29,28,3,53,18,50,51,40,47,44])).
% 58.64/58.68  cnf(578,plain,
% 58.64/58.68     (P4(f6(x5781,a2,a7),a7)),
% 58.64/58.68     inference(scs_inference,[],[170,25,163,75,29,28,65,3,53,18,50,51,40,47,44,52])).
% 58.64/58.68  cnf(581,plain,
% 58.64/58.68     (P4(f11(f6(x5811,a2,a7),f6(x5811,a2,a7)),a7)),
% 58.64/58.68     inference(scs_inference,[],[170,25,163,75,29,28,77,65,3,53,18,50,51,40,47,44,52,17])).
% 58.64/58.68  cnf(591,plain,
% 58.64/58.68     (~P2(a9,a9)),
% 58.64/58.68     inference(scs_inference,[],[576,40,47])).
% 58.64/58.68  cnf(593,plain,
% 58.64/58.68     (P4(f6(a7,a7,f11(a1,a1)),a10)),
% 58.64/58.68     inference(scs_inference,[],[26,576,40,47,44])).
% 58.64/58.68  cnf(595,plain,
% 58.64/58.68     (~E(a9,f11(x5951,a2))),
% 58.64/58.68     inference(scs_inference,[],[26,576,163,40,47,44,18])).
% 58.64/58.68  cnf(596,plain,
% 58.64/58.68     (~P4(x5961,f11(x5962,a2))),
% 58.64/58.68     inference(rename_variables,[],[163])).
% 58.64/58.68  cnf(604,plain,
% 58.64/58.68     (P4(f6(a7,a7,f11(a1,a1)),f11(a9,a9))),
% 58.64/58.68     inference(scs_inference,[],[26,576,163,29,280,123,70,574,565,40,47,44,18,21,22,3,50])).
% 58.64/58.68  cnf(607,plain,
% 58.64/58.68     (P4(f3(a7),a7)),
% 58.64/58.68     inference(scs_inference,[],[26,576,163,29,280,123,70,574,565,40,47,44,18,21,22,3,50,34])).
% 58.64/58.68  cnf(612,plain,
% 58.64/58.68     (P4(f6(a7,a7,a1),a7)),
% 58.64/58.68     inference(scs_inference,[],[26,576,163,596,29,280,55,123,70,574,565,40,47,44,18,21,22,3,50,34,53,52])).
% 58.64/58.68  cnf(622,plain,
% 58.64/58.68     (~P2(a10,a10)),
% 58.64/58.68     inference(scs_inference,[],[593,40,47])).
% 58.64/58.68  cnf(624,plain,
% 58.64/58.68     (P4(f11(f6(x6241,a2,a7),f6(x6241,a2,a7)),a9)),
% 58.64/58.68     inference(scs_inference,[],[25,593,581,40,47,44])).
% 58.64/58.68  cnf(626,plain,
% 58.64/58.68     (P4(f6(a7,a7,f11(x6261,a1)),a7)),
% 58.64/58.68     inference(scs_inference,[],[25,593,73,560,581,40,47,44,53])).
% 58.64/58.68  cnf(628,plain,
% 58.64/58.68     (~P4(x6281,f11(x6282,a1))),
% 58.64/58.68     inference(rename_variables,[],[73])).
% 58.64/58.68  cnf(630,plain,
% 58.64/58.68     (P4(f6(x6301,a2,a9),a9)),
% 58.64/58.68     inference(scs_inference,[],[25,593,73,65,560,581,595,40,47,44,53,52])).
% 58.64/58.68  cnf(633,plain,
% 58.64/58.68     (~P1(a9)),
% 58.64/58.68     inference(scs_inference,[],[25,593,73,65,560,581,595,281,40,47,44,53,52,33])).
% 58.64/58.68  cnf(634,plain,
% 58.64/58.68     (~E(a9,f11(x6341,a2))),
% 58.64/58.68     inference(rename_variables,[],[595])).
% 58.64/58.68  cnf(637,plain,
% 58.64/58.68     (P4(f11(f6(a7,a7,a1),f6(a7,a7,a1)),a7)),
% 58.64/58.68     inference(scs_inference,[],[25,593,73,65,77,560,581,595,612,281,40,47,44,53,52,33,17])).
% 58.64/58.68  cnf(639,plain,
% 58.64/58.68     (~E(a10,f11(x6391,a1))),
% 58.64/58.68     inference(scs_inference,[],[25,593,73,628,65,77,560,581,595,612,281,40,47,44,53,52,33,17,18])).
% 58.64/58.68  cnf(645,plain,
% 58.64/58.68     (~E(a9,f11(a1,a1))),
% 58.64/58.68     inference(scs_inference,[],[25,593,73,628,287,65,77,257,560,581,570,595,634,612,281,221,40,47,44,53,52,33,17,18,21,22,3])).
% 58.64/58.68  cnf(648,plain,
% 58.64/58.68     (P4(f6(a7,a7,f11(a1,a1)),f11(a10,a10))),
% 58.64/58.68     inference(scs_inference,[],[25,593,73,628,29,287,65,77,257,560,581,570,595,634,612,281,221,40,47,44,53,52,33,17,18,21,22,3,50])).
% 58.64/58.68  cnf(655,plain,
% 58.64/58.68     (~P2(f11(a10,a10),f11(a10,a10))),
% 58.64/58.68     inference(scs_inference,[],[624,648,40,47])).
% 58.64/58.68  cnf(659,plain,
% 58.64/58.68     (P4(f11(f6(x6591,a2,a7),f6(x6591,a2,a7)),a10)),
% 58.64/58.68     inference(scs_inference,[],[26,624,648,40,47,58,44])).
% 58.64/58.68  cnf(661,plain,
% 58.64/58.68     (P4(f6(a1,a1,a9),a9)),
% 58.64/58.68     inference(scs_inference,[],[26,624,55,648,645,40,47,58,44,53])).
% 58.64/58.68  cnf(662,plain,
% 58.64/58.68     (~P4(x6621,a1)),
% 58.64/58.68     inference(rename_variables,[],[55])).
% 58.64/58.68  cnf(664,plain,
% 58.64/58.68     (P4(f6(x6641,a1,a10),a10)),
% 58.64/58.68     inference(scs_inference,[],[26,624,55,662,648,645,639,40,47,58,44,53,52])).
% 58.64/58.68  cnf(667,plain,
% 58.64/58.68     (~P1(a10)),
% 58.64/58.68     inference(scs_inference,[],[26,624,55,662,648,645,639,286,40,47,58,44,53,52,33])).
% 58.64/58.68  cnf(670,plain,
% 58.64/58.68     (P4(f11(f6(x6701,a2,a9),f6(x6701,a2,a9)),a9)),
% 58.64/58.68     inference(scs_inference,[],[26,624,55,662,77,648,645,639,630,286,40,47,58,44,53,52,33,17])).
% 58.64/58.68  cnf(672,plain,
% 58.64/58.68     (~E(a9,f11(x6721,a1))),
% 58.64/58.68     inference(scs_inference,[],[26,624,73,55,662,77,648,645,639,630,286,40,47,58,44,53,52,33,17,18])).
% 58.64/58.68  cnf(674,plain,
% 58.64/58.68     (~E(f11(x6741,a1),a9)),
% 58.64/58.68     inference(scs_inference,[],[26,624,73,55,662,77,99,648,591,645,639,630,286,40,47,58,44,53,52,33,17,18,21])).
% 58.64/58.68  cnf(678,plain,
% 58.64/58.68     (~P1(f11(a9,a9))),
% 58.64/58.68     inference(scs_inference,[],[26,624,73,28,55,662,77,99,67,648,591,645,639,630,633,286,40,47,58,44,53,52,33,17,18,21,22,16])).
% 58.64/58.68  cnf(682,plain,
% 58.64/58.68     (P4(f11(f6(x6821,a2,a7),f6(x6821,a2,a7)),f11(a9,a9))),
% 58.64/58.68     inference(scs_inference,[],[26,624,73,29,28,285,55,662,77,99,67,648,591,645,639,630,633,286,40,47,58,44,53,52,33,17,18,21,22,16,3,50])).
% 58.64/58.68  cnf(685,plain,
% 58.64/58.68     (P4(f3(a9),a9)),
% 58.64/58.68     inference(scs_inference,[],[26,624,73,29,28,285,55,662,77,99,67,648,591,645,639,630,633,286,40,47,58,44,53,52,33,17,18,21,22,16,3,50,34])).
% 58.64/58.68  cnf(693,plain,
% 58.64/58.68     (~P2(f11(a9,a9),f11(a9,a9))),
% 58.64/58.68     inference(scs_inference,[],[659,604,40,47])).
% 58.64/58.68  cnf(697,plain,
% 58.64/58.68     (P4(f6(x6971,a2,a7),a9)),
% 58.64/58.68     inference(scs_inference,[],[25,659,578,604,40,47,58,44])).
% 58.64/58.68  cnf(700,plain,
% 58.64/58.68     (~E(a9,f11(x7001,a1))),
% 58.64/58.68     inference(rename_variables,[],[672])).
% 58.64/58.68  cnf(701,plain,
% 58.64/58.68     (~P4(x7011,f11(x7012,a1))),
% 58.64/58.68     inference(rename_variables,[],[73])).
% 58.64/58.68  cnf(703,plain,
% 58.64/58.68     (P4(f6(x7031,a1,a9),a9)),
% 58.64/58.68     inference(scs_inference,[],[25,659,73,55,578,604,672,700,40,47,58,44,53,52])).
% 58.64/58.68  cnf(706,plain,
% 58.64/58.68     (P4(f11(f6(a1,a1,a9),f6(a1,a1,a9)),a9)),
% 58.64/58.68     inference(scs_inference,[],[25,659,73,55,77,578,604,661,672,700,40,47,58,44,53,52,17])).
% 58.64/58.68  cnf(708,plain,
% 58.64/58.68     (~E(f11(a7,a7),f11(x7081,a1))),
% 58.64/58.68     inference(scs_inference,[],[25,659,73,701,55,77,567,578,604,661,672,700,40,47,58,44,53,52,17,18])).
% 58.64/58.68  cnf(710,plain,
% 58.64/58.68     (~E(f11(x7101,a1),f11(a10,a10))),
% 58.64/58.68     inference(scs_inference,[],[25,659,73,701,55,77,99,567,578,655,604,661,672,700,40,47,58,44,53,52,17,18,21])).
% 58.64/58.68  cnf(716,plain,
% 58.64/58.68     (~E(a9,f11(a1,f11(x7161,a1)))),
% 58.64/58.68     inference(scs_inference,[],[25,659,73,701,113,305,55,77,99,67,567,578,655,604,661,672,700,678,40,47,58,44,53,52,17,18,21,22,16,3])).
% 58.64/58.68  cnf(719,plain,
% 58.64/58.68     (P4(f11(f6(x7191,a2,a7),f6(x7191,a2,a7)),f11(a10,a10))),
% 58.64/58.68     inference(scs_inference,[],[25,659,73,701,29,113,305,55,77,99,67,567,578,655,604,661,672,700,678,40,47,58,44,53,52,17,18,21,22,16,3,50])).
% 58.64/58.68  cnf(727,plain,
% 58.64/58.68     (~P1(f11(a10,a10))),
% 58.64/58.68     inference(scs_inference,[],[25,659,73,701,29,113,305,55,77,99,67,567,578,655,604,661,672,700,286,678,40,47,58,44,53,52,17,18,21,22,16,3,50,5,56,57,33])).
% 58.64/58.68  cnf(734,plain,
% 58.64/58.68     (~P4(x7341,a1)),
% 58.64/58.68     inference(rename_variables,[],[55])).
% 58.64/58.68  cnf(736,plain,
% 58.64/58.68     (P4(f6(x7361,a2,a7),a10)),
% 58.64/58.68     inference(scs_inference,[],[26,697,55,567,708,40,52,44])).
% 58.64/58.68  cnf(741,plain,
% 58.64/58.68     (P4(f11(f3(a9),f3(a9)),a9)),
% 58.64/58.68     inference(scs_inference,[],[26,697,55,734,77,567,685,708,716,40,52,44,53,17])).
% 58.64/58.68  cnf(743,plain,
% 58.64/58.68     (~E(a7,f11(x7431,a1))),
% 58.64/58.68     inference(scs_inference,[],[26,697,73,55,734,77,567,581,685,708,716,40,52,44,53,17,18])).
% 58.64/58.68  cnf(751,plain,
% 58.64/58.68     (~E(f11(a7,a7),a1)),
% 58.64/58.68     inference(scs_inference,[],[26,697,73,113,285,55,734,77,91,126,567,581,693,727,685,708,716,40,52,44,53,17,18,21,22,16,3])).
% 58.64/58.68  cnf(753,plain,
% 58.64/58.68     (P4(f6(x7531,a2,a7),f11(a9,a9))),
% 58.64/58.68     inference(scs_inference,[],[26,697,73,29,113,285,55,734,77,91,126,567,581,693,727,685,708,716,40,52,44,53,17,18,21,22,16,3,50])).
% 58.64/58.68  cnf(756,plain,
% 58.64/58.68     (P4(f3(f11(a7,a7)),f11(a7,a7))),
% 58.64/58.68     inference(scs_inference,[],[26,697,73,29,113,285,55,734,77,91,126,567,581,693,727,685,708,716,40,52,44,53,17,18,21,22,16,3,50,34])).
% 58.64/58.68  cnf(763,plain,
% 58.64/58.68     (P4(f6(x7631,a1,a7),a7)),
% 58.64/58.68     inference(scs_inference,[],[55,578,743,40,57,52])).
% 58.64/58.68  cnf(766,plain,
% 58.64/58.68     (P4(f3(a7),a9)),
% 58.64/58.68     inference(scs_inference,[],[25,55,578,607,743,40,57,52,44])).
% 58.64/58.68  cnf(770,plain,
% 58.64/58.68     (~P4(x7701,f11(x7702,a1))),
% 58.64/58.68     inference(rename_variables,[],[73])).
% 58.64/58.68  cnf(773,plain,
% 58.64/58.68     (~E(f11(a9,a9),f11(x7731,a1))),
% 58.64/58.68     inference(scs_inference,[],[25,318,736,73,770,55,578,607,682,743,710,40,57,52,44,53,17,18])).
% 58.64/58.68  cnf(779,plain,
% 58.64/58.68     (~E(a9,f11(f11(x7791,a1),f11(x7792,a1)))),
% 58.64/58.68     inference(scs_inference,[],[25,318,736,73,770,302,55,123,99,716,578,622,607,682,743,710,40,57,52,44,53,17,18,21,22,3])).
% 58.64/58.68  cnf(796,plain,
% 58.64/58.68     (~P4(x7961,f11(a1,x7962))),
% 58.64/58.68     inference(rename_variables,[],[75])).
% 58.64/58.68  cnf(798,plain,
% 58.64/58.68     (P4(f3(a7),a10)),
% 58.64/58.68     inference(scs_inference,[],[26,766,75,55,773,779,40,52,53,44])).
% 58.64/58.68  cnf(808,plain,
% 58.64/58.68     (~E(f11(a7,a7),f11(a1,f11(x8081,a1)))),
% 58.64/58.68     inference(scs_inference,[],[26,659,766,75,796,305,77,55,165,245,708,773,779,574,40,52,53,44,17,18,21,22,3])).
% 58.64/58.68  cnf(819,plain,
% 58.64/58.68     (~E(f11(a7,a7),f11(a1,f11(x8191,a1)))),
% 58.64/58.68     inference(rename_variables,[],[808])).
% 58.64/58.68  cnf(820,plain,
% 58.64/58.68     (~P4(x8201,f11(a1,x8202))),
% 58.64/58.68     inference(rename_variables,[],[75])).
% 58.64/58.68  cnf(825,plain,
% 58.64/58.68     (P4(f11(f6(a7,a7,a1),f6(a7,a7,a1)),a9)),
% 58.64/58.68     inference(scs_inference,[],[25,798,75,55,637,808,819,40,52,53,44])).
% 58.64/58.68  cnf(828,plain,
% 58.64/58.68     (~E(a9,f11(a1,x8281))),
% 58.64/58.68     inference(scs_inference,[],[25,318,697,798,75,820,55,637,808,819,40,52,53,44,17,18])).
% 58.64/58.68  cnf(834,plain,
% 58.64/58.68     (~E(f11(a7,a7),f11(f11(x8341,a1),x8342))),
% 58.64/58.69     inference(scs_inference,[],[25,318,697,798,75,820,323,55,126,165,708,637,808,819,591,40,52,53,44,17,18,21,22,3])).
% 58.64/58.69  cnf(851,plain,
% 58.64/58.69     (~P4(x8511,f11(x8512,a1))),
% 58.64/58.69     inference(rename_variables,[],[73])).
% 58.64/58.69  cnf(853,plain,
% 58.64/58.69     (P4(f6(f11(x8531,a1),x8532,f11(a7,a7)),f11(a7,a7))),
% 58.64/58.69     inference(scs_inference,[],[825,73,851,779,834,40,58,52,53])).
% 58.64/58.69  cnf(857,plain,
% 58.64/58.69     (P4(f11(f6(a7,a7,a1),f6(a7,a7,a1)),a10)),
% 58.64/58.69     inference(scs_inference,[],[26,825,73,851,779,834,40,58,52,53,44])).
% 58.64/58.69  cnf(866,plain,
% 58.64/58.69     (~E(f11(a7,a7),f11(x8661,f11(x8662,a1)))),
% 58.64/58.69     inference(scs_inference,[],[26,318,736,825,163,73,851,346,708,664,779,834,570,231,251,40,58,52,53,44,17,18,21,22,3])).
% 58.64/58.69  cnf(883,plain,
% 58.64/58.69     (~E(f11(a7,a7),f11(x8831,f11(x8832,a1)))),
% 58.64/58.69     inference(rename_variables,[],[866])).
% 58.64/58.69  cnf(884,plain,
% 58.64/58.69     (~P4(x8841,f11(a1,x8842))),
% 58.64/58.69     inference(rename_variables,[],[75])).
% 58.64/58.69  cnf(888,plain,
% 58.64/58.69     (~P4(x8881,f11(a1,x8882))),
% 58.64/58.69     inference(rename_variables,[],[75])).
% 58.64/58.69  cnf(890,plain,
% 58.64/58.69     (P4(f11(f6(a1,a1,a9),f6(a1,a1,a9)),a10)),
% 58.64/58.69     inference(scs_inference,[],[26,857,75,884,706,866,883,40,58,52,53,44])).
% 58.64/58.69  cnf(894,plain,
% 58.64/58.69     (~E(f11(a7,a7),f11(a1,x8941))),
% 58.64/58.69     inference(scs_inference,[],[26,857,75,884,888,77,567,706,703,866,883,40,58,52,53,44,17,18])).
% 58.64/58.69  cnf(900,plain,
% 58.64/58.69     (~E(f11(a7,a7),f11(f11(a1,x9001),f11(a1,x9001)))),
% 58.64/58.69     inference(scs_inference,[],[26,857,75,884,888,77,299,126,751,165,567,706,703,866,883,655,40,58,52,53,44,17,18,21,22,3])).
% 58.64/58.69  cnf(912,plain,
% 58.64/58.69     (~P4(x9121,f11(a1,x9122))),
% 58.64/58.69     inference(rename_variables,[],[75])).
% 58.64/58.69  cnf(914,plain,
% 58.64/58.69     (P4(f11(f3(a9),f3(a9)),a10)),
% 58.64/58.69     inference(scs_inference,[],[26,890,75,741,900,40,58,52,44])).
% 58.64/58.69  cnf(921,plain,
% 58.64/58.69     (~E(f11(a10,a10),f11(a1,x9211))),
% 58.64/58.69     inference(scs_inference,[],[26,890,75,912,77,55,719,741,763,900,894,40,58,52,44,53,17,18])).
% 58.64/58.69  cnf(928,plain,
% 58.64/58.69     (P4(f3(a10),a10)),
% 58.64/58.69     inference(scs_inference,[],[26,890,75,912,77,55,165,257,719,741,763,900,894,622,40,58,52,44,53,17,18,21,22,4,34])).
% 58.64/58.69  cnf(940,plain,
% 58.64/58.69     (~E(a9,f11(a1,x9401))),
% 58.64/58.69     inference(rename_variables,[],[828])).
% 58.64/58.69  cnf(941,plain,
% 58.64/58.69     (~P4(x9411,f11(a1,x9412))),
% 58.64/58.69     inference(rename_variables,[],[75])).
% 58.64/58.69  cnf(943,plain,
% 58.64/58.69     (P4(f6(a1,x9431,a9),a9)),
% 58.64/58.69     inference(scs_inference,[],[914,75,55,828,940,40,58,52,53])).
% 58.64/58.69  cnf(946,plain,
% 58.64/58.69     (P4(f11(f6(x9461,a2,a9),f6(x9461,a2,a9)),a10)),
% 58.64/58.69     inference(scs_inference,[],[26,914,75,55,670,828,940,40,58,52,53,44])).
% 58.64/58.69  cnf(951,plain,
% 58.64/58.69     (~E(a1,f11(a9,a9))),
% 58.64/58.69     inference(scs_inference,[],[26,318,914,75,941,55,70,753,670,828,940,928,693,40,58,52,53,44,17,18,21])).
% 58.64/58.69  cnf(972,plain,
% 58.64/58.69     (P4(f6(a1,x9721,f11(a10,a10)),f11(a10,a10))),
% 58.64/58.69     inference(scs_inference,[],[25,946,73,55,866,626,921,40,58,52,44,53])).
% 58.64/58.69  cnf(979,plain,
% 58.64/58.69     (~E(a7,a2)),
% 58.64/58.69     inference(scs_inference,[],[25,946,163,73,77,55,567,866,626,921,943,40,58,52,44,53,17,18,5])).
% 58.64/58.69  cnf(1290,plain,
% 58.64/58.69     (P4(f6(a9,a9,a1),a9)),
% 58.64/58.69     inference(scs_inference,[],[55,853,951,40,52])).
% 58.64/58.69  cnf(1390,plain,
% 58.64/58.69     (P4(f6(a9,a9,a1),a10)),
% 58.64/58.69     inference(scs_inference,[],[26,972,1290,40,44])).
% 58.64/58.69  cnf(1396,plain,
% 58.64/58.69     (~P4(a10,f6(a9,a9,a1))),
% 58.64/58.69     inference(scs_inference,[],[1390,40])).
% 58.64/58.69  cnf(1583,plain,
% 58.64/58.69     (P4(f3(f11(a7,a7)),f11(a9,a9))),
% 58.64/58.69     inference(scs_inference,[],[172,756,44])).
% 58.64/58.69  cnf(1713,plain,
% 58.64/58.69     (~E(a9,f11(x17131,f11(x17132,a2)))),
% 58.64/58.69     inference(scs_inference,[],[203,697,18])).
% 58.64/58.69  cnf(1718,plain,
% 58.64/58.69     (P4(f6(x17181,f11(a1,a2),a9),a10)),
% 58.64/58.69     inference(scs_inference,[],[203,26,697,75,18,52,44])).
% 58.64/58.69  cnf(1725,plain,
% 58.64/58.69     (~E(a10,f11(x17251,f11(x17252,a2)))),
% 58.64/58.69     inference(scs_inference,[],[203,736,1718,40,18])).
% 58.64/58.69  cnf(1727,plain,
% 58.64/58.69     (P4(f6(x17271,f11(a1,a2),a10),a10)),
% 58.64/58.69     inference(scs_inference,[],[203,736,1718,75,40,18,52])).
% 58.64/58.69  cnf(1733,plain,
% 58.64/58.69     (~E(f11(a9,a9),f11(x17331,f11(x17332,a2)))),
% 58.64/58.69     inference(scs_inference,[],[203,1583,1727,40,18])).
% 58.64/58.69  cnf(1741,plain,
% 58.64/58.69     (~E(f11(a7,a7),f11(x17411,f11(x17412,a2)))),
% 58.64/58.69     inference(scs_inference,[],[203,75,567,1733,52,18])).
% 58.64/58.69  cnf(1749,plain,
% 58.64/58.69     (~E(f11(a10,a10),f11(x17491,f11(x17492,a2)))),
% 58.64/58.69     inference(scs_inference,[],[203,75,719,1741,52,18])).
% 58.64/58.69  cnf(1757,plain,
% 58.64/58.69     (~E(a7,f11(x17571,f11(x17572,a2)))),
% 58.64/58.69     inference(scs_inference,[],[203,75,578,1749,52,18])).
% 58.64/58.69  cnf(1840,plain,
% 58.64/58.69     (~E(a9,f11(f11(x18401,a2),x18402))),
% 58.64/58.69     inference(scs_inference,[],[211,697,18])).
% 58.64/58.69  cnf(1843,plain,
% 58.64/58.69     (~E(a10,f11(f11(x18431,a2),x18432))),
% 58.64/58.69     inference(scs_inference,[],[211,736,18])).
% 58.64/58.69  cnf(1846,plain,
% 58.64/58.69     (~E(f11(a9,a9),f11(f11(x18461,a2),x18462))),
% 58.64/58.69     inference(scs_inference,[],[211,1583,18])).
% 58.64/58.69  cnf(1849,plain,
% 58.64/58.69     (~E(f11(a7,a7),f11(f11(x18491,a2),x18492))),
% 58.64/58.69     inference(scs_inference,[],[211,567,18])).
% 58.64/58.69  cnf(1852,plain,
% 58.64/58.69     (~E(f11(a10,a10),f11(f11(x18521,a2),x18522))),
% 58.64/58.69     inference(scs_inference,[],[211,648,18])).
% 58.64/58.69  cnf(1855,plain,
% 58.64/58.69     (~E(a7,f11(f11(x18551,a2),x18552))),
% 58.64/58.69     inference(scs_inference,[],[211,581,18])).
% 58.64/58.69  cnf(1989,plain,
% 58.64/58.69     (~E(a9,f11(x19891,f11(x19892,a2)))),
% 58.64/58.69     inference(rename_variables,[],[1713])).
% 58.64/58.69  cnf(1990,plain,
% 58.64/58.69     (~P4(x19901,f11(a2,x19902))),
% 58.64/58.69     inference(rename_variables,[],[225])).
% 58.64/58.69  cnf(1992,plain,
% 58.64/58.69     (P4(f6(f11(a2,x19921),f11(x19922,a2),a9),a9)),
% 58.64/58.69     inference(scs_inference,[],[225,1990,1713,1989,52,53])).
% 58.64/58.69  cnf(1994,plain,
% 58.64/58.69     (~P4(x19941,f11(a2,x19942))),
% 58.64/58.69     inference(rename_variables,[],[225])).
% 58.64/58.69  cnf(1996,plain,
% 58.64/58.69     (P4(f6(x19961,f11(a2,a2),a9),a10)),
% 58.64/58.69     inference(scs_inference,[],[225,1990,26,1713,1989,52,53,44])).
% 58.64/58.69  cnf(1998,plain,
% 58.64/58.69     (~E(a7,f11(a2,x19981))),
% 58.64/58.69     inference(scs_inference,[],[225,1990,1994,26,1713,1989,578,52,53,44,18])).
% 58.64/58.69  cnf(2006,plain,
% 58.64/58.69     (~E(a10,f11(x20061,f11(x20062,a2)))),
% 58.64/58.69     inference(rename_variables,[],[1725])).
% 58.64/58.69  cnf(2007,plain,
% 58.64/58.69     (~P4(x20071,f11(a2,x20072))),
% 58.64/58.69     inference(rename_variables,[],[225])).
% 58.64/58.69  cnf(2013,plain,
% 58.64/58.69     (P4(f6(f11(a2,x20131),f11(x20132,a2),a9),a10)),
% 58.64/58.69     inference(scs_inference,[],[225,2007,26,1996,1725,2006,1992,40,52,53,44])).
% 58.64/58.69  cnf(2020,plain,
% 58.64/58.69     (P4(f6(x20201,f11(a2,a2),f11(a9,a9)),f11(a9,a9))),
% 58.64/58.69     inference(scs_inference,[],[225,2013,1733,40,52])).
% 58.64/58.69  cnf(2033,plain,
% 58.64/58.69     (P4(f6(x20331,f11(a2,a2),f11(a7,a7)),f11(a7,a7))),
% 58.64/58.69     inference(scs_inference,[],[225,1741,2020,40,52])).
% 58.64/58.69  cnf(2044,plain,
% 58.64/58.69     (P4(f6(x20441,f11(a2,a2),f11(a10,a10)),f11(a10,a10))),
% 58.64/58.69     inference(scs_inference,[],[225,1749,2033,40,52])).
% 58.64/58.69  cnf(2056,plain,
% 58.64/58.69     (~E(a7,f11(x20561,f11(x20562,a2)))),
% 58.64/58.69     inference(rename_variables,[],[1757])).
% 58.64/58.69  cnf(2057,plain,
% 58.64/58.69     (~P4(x20571,f11(a2,x20572))),
% 58.64/58.69     inference(rename_variables,[],[225])).
% 58.64/58.69  cnf(2059,plain,
% 58.64/58.69     (P4(f6(f11(a2,x20591),f11(x20592,a2),a7),a7)),
% 58.64/58.69     inference(scs_inference,[],[225,2057,1757,2056,2044,40,52,53])).
% 58.64/58.69  cnf(2063,plain,
% 58.64/58.69     (P4(f6(x20631,f11(a2,a2),a7),a9)),
% 58.64/58.69     inference(scs_inference,[],[225,2057,25,1757,2056,2044,40,52,53,44])).
% 58.64/58.69  cnf(2068,plain,
% 58.64/58.69     (~E(f11(a9,a9),f11(f11(x20681,a2),x20682))),
% 58.64/58.69     inference(rename_variables,[],[1846])).
% 58.64/58.69  cnf(2069,plain,
% 58.64/58.69     (~P4(x20691,f11(a2,x20692))),
% 58.64/58.69     inference(rename_variables,[],[225])).
% 58.64/58.69  cnf(2075,plain,
% 58.64/58.69     (P4(f6(x20751,f11(a2,a2),a7),a10)),
% 58.64/58.69     inference(scs_inference,[],[225,2069,26,2063,1846,2068,40,52,53,44])).
% 58.64/58.69  cnf(2080,plain,
% 58.64/58.69     (~E(f11(a7,a7),f11(f11(x20801,a2),x20802))),
% 58.64/58.69     inference(rename_variables,[],[1849])).
% 58.64/58.69  cnf(2081,plain,
% 58.64/58.69     (~P4(x20811,f11(a2,x20812))),
% 58.64/58.69     inference(rename_variables,[],[225])).
% 58.64/58.69  cnf(2087,plain,
% 58.64/58.69     (P4(f6(f11(a2,x20871),f11(x20872,a2),a7),a9)),
% 58.64/58.69     inference(scs_inference,[],[225,2081,25,2075,1849,2080,2059,40,52,53,44])).
% 58.64/58.69  cnf(2092,plain,
% 58.64/58.69     (~E(f11(a10,a10),f11(f11(x20921,a2),x20922))),
% 58.64/58.69     inference(rename_variables,[],[1852])).
% 58.64/58.69  cnf(2093,plain,
% 58.64/58.69     (~P4(x20931,f11(a2,x20932))),
% 58.64/58.69     inference(rename_variables,[],[225])).
% 58.64/58.69  cnf(2099,plain,
% 58.64/58.69     (P4(f6(f11(a2,x20991),f11(x20992,a2),a7),a10)),
% 58.64/58.69     inference(scs_inference,[],[225,2093,26,2087,1852,2092,40,52,53,44])).
% 58.64/58.69  cnf(2104,plain,
% 58.64/58.69     (~E(a9,f11(f11(x21041,a2),x21042))),
% 58.64/58.69     inference(rename_variables,[],[1840])).
% 58.64/58.69  cnf(2105,plain,
% 58.64/58.69     (~P4(x21051,f11(a2,x21052))),
% 58.64/58.69     inference(rename_variables,[],[225])).
% 58.64/58.69  cnf(2107,plain,
% 58.64/58.69     (P4(f6(f11(a2,a2),x21071,a9),a9)),
% 58.64/58.69     inference(scs_inference,[],[225,2105,2099,1840,2104,40,52,53])).
% 58.64/58.69  cnf(2111,plain,
% 58.64/58.69     (P4(f6(f11(x21111,a2),f11(a2,x21112),a9),a10)),
% 58.64/58.69     inference(scs_inference,[],[225,2105,26,2099,1840,2104,40,52,53,44])).
% 58.64/58.69  cnf(2116,plain,
% 58.64/58.69     (~E(a10,f11(f11(x21161,a2),x21162))),
% 58.64/58.69     inference(rename_variables,[],[1843])).
% 58.64/58.69  cnf(2117,plain,
% 58.64/58.69     (~P4(x21171,f11(a2,x21172))),
% 58.64/58.69     inference(rename_variables,[],[225])).
% 58.64/58.69  cnf(2123,plain,
% 58.64/58.69     (P4(f6(f11(a2,a2),x21231,a9),a10)),
% 58.64/58.69     inference(scs_inference,[],[225,2117,26,2111,1843,2116,2107,40,52,53,44])).
% 58.64/58.69  cnf(2128,plain,
% 58.64/58.69     (~E(a7,f11(f11(x21281,a2),x21282))),
% 58.64/58.69     inference(rename_variables,[],[1855])).
% 58.64/58.69  cnf(2129,plain,
% 58.64/58.69     (~P4(x21291,f11(a2,x21292))),
% 58.64/58.69     inference(rename_variables,[],[225])).
% 58.64/58.69  cnf(2131,plain,
% 58.64/58.69     (P4(f6(f11(a2,a2),x21311,a7),a7)),
% 58.64/58.69     inference(scs_inference,[],[225,2129,2123,1855,2128,40,52,53])).
% 58.64/58.69  cnf(2135,plain,
% 58.64/58.69     (P4(f6(f11(x21351,a2),f11(a2,x21352),a7),a9)),
% 58.64/58.69     inference(scs_inference,[],[225,2129,25,2123,1855,2128,40,52,53,44])).
% 58.64/58.69  cnf(2140,plain,
% 58.64/58.69     (~E(a7,f11(a2,x21401))),
% 58.64/58.69     inference(rename_variables,[],[1998])).
% 58.64/58.69  cnf(2143,plain,
% 58.64/58.69     (P4(f6(a2,x21431,a7),a7)),
% 58.64/58.69     inference(scs_inference,[],[225,2135,65,1998,2140,40,52,53])).
% 58.64/58.69  cnf(2146,plain,
% 58.64/58.69     (P4(f11(f6(a2,x21461,a7),f6(a2,x21461,a7)),a7)),
% 58.64/58.69     inference(scs_inference,[],[225,2135,77,65,1998,2140,40,52,53,17])).
% 58.64/58.69  cnf(2148,plain,
% 58.64/58.69     (P4(f6(f11(x21481,a2),f11(a2,x21482),a7),a10)),
% 58.64/58.69     inference(scs_inference,[],[225,26,2135,77,65,1998,2140,40,52,53,17,44])).
% 58.64/58.69  cnf(2152,plain,
% 58.64/58.69     (P4(f11(f6(a2,x21521,a7),f6(a2,x21521,a7)),a9)),
% 58.64/58.69     inference(scs_inference,[],[25,2148,2146,40,44])).
% 58.64/58.69  cnf(2154,plain,
% 58.64/58.69     (P4(f6(a2,x21541,a7),a9)),
% 58.64/58.69     inference(scs_inference,[],[25,2148,28,2146,40,44,17])).
% 58.64/58.69  cnf(2160,plain,
% 58.64/58.69     (P4(f11(f6(a2,x21601,a7),f6(a2,x21601,a7)),a10)),
% 58.64/58.69     inference(scs_inference,[],[26,2152,40,58,44])).
% 58.64/58.69  cnf(2170,plain,
% 58.64/58.69     (P4(f6(f11(a2,a2),x21701,a7),a9)),
% 58.64/58.69     inference(scs_inference,[],[25,2160,2131,40,58,44])).
% 58.64/58.69  cnf(2178,plain,
% 58.64/58.69     (P4(f6(f11(a2,a2),x21781,a7),a10)),
% 58.64/58.69     inference(scs_inference,[],[26,2170,40,44])).
% 58.64/58.69  cnf(2182,plain,
% 58.64/58.69     (P4(f6(a2,x21821,a7),a10)),
% 58.64/58.69     inference(scs_inference,[],[26,2178,2154,40,44])).
% 58.64/58.69  cnf(2494,plain,
% 58.64/58.69     (~P4(f5(a7,a10),a10)),
% 58.64/58.69     inference(scs_inference,[],[31,48])).
% 58.64/58.69  cnf(2502,plain,
% 58.64/58.69     (P4(f12(a7,a7),a7)),
% 58.64/58.69     inference(scs_inference,[],[24,570,123,31,48,37,32,49,42])).
% 58.64/58.69  cnf(2504,plain,
% 58.64/58.69     (P4(f5(a7,a10),a7)),
% 58.64/58.69     inference(scs_inference,[],[24,570,123,31,48,37,32,49,42,41])).
% 58.64/58.69  cnf(2507,plain,
% 58.64/58.69     (P4(f12(a9,a9),a9)),
% 58.64/58.69     inference(scs_inference,[],[24,570,591,123,31,48,37,32,49,42,41,4,43])).
% 58.64/58.69  cnf(2514,plain,
% 58.64/58.69     (P4(f4(a7,a7),a7)),
% 58.64/58.69     inference(scs_inference,[],[278,24,570,591,123,31,225,48,37,32,49,42,41,4,43,34,5,2,57])).
% 58.64/58.69  cnf(2518,plain,
% 58.64/58.69     (~E(a7,f11(a10,x25181))),
% 58.64/58.69     inference(scs_inference,[],[278,24,570,591,123,31,225,48,37,32,49,42,41,4,43,34,5,2,57,40,46])).
% 58.64/58.69  cnf(2524,plain,
% 58.64/58.69     (~P3(a7,f11(a10,a10))),
% 58.64/58.69     inference(scs_inference,[],[2182,278,24,570,591,123,31,225,28,48,37,32,49,42,41,4,43,34,5,2,57,40,46,45,58,20])).
% 58.64/58.69  cnf(2525,plain,
% 58.64/58.69     (E(f11(x25251,x25251),x25251)),
% 58.64/58.69     inference(rename_variables,[],[28])).
% 58.64/58.69  cnf(2528,plain,
% 58.64/58.69     (E(f11(x25281,x25281),x25281)),
% 58.64/58.69     inference(rename_variables,[],[28])).
% 58.64/58.69  cnf(2530,plain,
% 58.64/58.69     (E(f11(x25301,x25301),x25301)),
% 58.64/58.69     inference(rename_variables,[],[28])).
% 58.64/58.69  cnf(2532,plain,
% 58.64/58.69     (E(f11(x25321,x25321),x25321)),
% 58.64/58.69     inference(rename_variables,[],[28])).
% 58.64/58.69  cnf(2539,plain,
% 58.64/58.69     (~P4(f11(a10,a10),f6(a9,a9,a1))),
% 58.64/58.69     inference(scs_inference,[],[667,674,1396,2182,278,24,281,287,570,591,123,163,65,31,225,28,2525,2528,2530,2532,48,37,32,49,42,41,4,43,34,5,2,57,40,46,45,58,20,16,19,21,22,52,3,17])).
% 58.64/58.69  cnf(2540,plain,
% 58.64/58.69     (E(f11(x25401,x25401),x25401)),
% 58.64/58.69     inference(rename_variables,[],[28])).
% 58.64/58.69  cnf(2550,plain,
% 58.64/58.69     (E(f6(x25501,x25502,a2),f6(x25501,x25502,a1))),
% 58.64/58.69     inference(scs_inference,[],[667,674,1396,2182,267,278,24,2143,281,287,570,591,123,163,65,31,225,28,2525,2528,2530,2532,48,37,32,49,42,41,4,43,34,5,2,57,40,46,45,58,20,16,19,21,22,52,3,17,44,11,9,10,12,13,14,15,8])).
% 58.64/58.69  cnf(2551,plain,
% 58.64/58.69     (E(f6(a2,x25511,x25512),f6(a1,x25511,x25512))),
% 58.64/58.69     inference(scs_inference,[],[667,674,1396,2182,267,278,24,2143,281,287,570,591,123,163,65,31,225,28,2525,2528,2530,2532,48,37,32,49,42,41,4,43,34,5,2,57,40,46,45,58,20,16,19,21,22,52,3,17,44,11,9,10,12,13,14,15,8,6])).
% 58.64/58.69  cnf(2552,plain,
% 58.64/58.69     (E(f6(x25521,a2,x25522),f6(x25521,a1,x25522))),
% 58.64/58.69     inference(scs_inference,[],[667,674,1396,2182,267,278,24,2143,281,287,570,591,123,163,65,31,225,28,2525,2528,2530,2532,48,37,32,49,42,41,4,43,34,5,2,57,40,46,45,58,20,16,19,21,22,52,3,17,44,11,9,10,12,13,14,15,8,6,7])).
% 58.64/58.69  cnf(2553,plain,
% 58.64/58.69     (~P4(f5(a7,a10),f11(a10,a10))),
% 58.64/58.69     inference(scs_inference,[],[667,674,1396,2182,267,278,24,2143,281,287,570,591,123,163,65,31,225,28,2525,2528,2530,2532,2540,48,37,32,49,42,41,4,43,34,5,2,57,40,46,45,58,20,16,19,21,22,52,3,17,44,11,9,10,12,13,14,15,8,6,7,18])).
% 58.64/58.69  cnf(2573,plain,
% 58.64/58.69     (P3(f6(x25731,x25732,a1),f6(x25731,x25732,a2))),
% 58.64/58.69     inference(scs_inference,[],[2514,2502,2550,2518,27,622,49,42,2,57,40,58,19])).
% 58.64/58.69  cnf(2579,plain,
% 58.64/58.69     (~P4(f5(a7,a10),f11(a9,a9))),
% 58.64/58.69     inference(scs_inference,[],[979,2539,2514,2502,2550,2518,2494,259,27,622,77,49,42,2,57,40,58,19,3,18,44])).
% 58.64/58.69  cnf(2581,plain,
% 58.64/58.69     (~E(f11(a10,a10),f11(a7,a7))),
% 58.64/58.69     inference(scs_inference,[],[979,2539,2514,2502,2553,2550,2504,2518,2494,259,27,622,77,49,42,2,57,40,58,19,3,18,44,50])).
% 58.64/58.69  cnf(2593,plain,
% 58.64/58.69     (E(f6(a2,x25931,x25932),f6(a1,x25931,x25932))),
% 58.64/58.69     inference(rename_variables,[],[2551])).
% 58.64/58.69  cnf(2602,plain,
% 58.64/58.69     ($false),
% 58.64/58.69     inference(scs_inference,[],[25,2581,2507,2579,2524,2551,2593,2552,2573,2504,591,77,28,49,2,57,40,58,20,19,3,18,44]),
% 58.64/58.69     ['proof']).
% 58.64/58.69  % SZS output end Proof
% 58.64/58.69  % Total time :58.170000s
%------------------------------------------------------------------------------