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CSE---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE---1.7
% Problem  : PUZ129+2 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s

% Computer : n024.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon Jun 24 13:42:25 EDT 2024

% Result   : Theorem 58.72s 58.84s
% Output   : CNFRefutation 58.72s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : PUZ129+2 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.12  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34  % Computer : n024.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 Jun 18 10:01:39 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.21/0.56  start to proof:theBenchmark
% 58.72/58.83  %-------------------------------------------
% 58.72/58.83  % File        :CSE---1.7
% 58.72/58.83  % Problem     :theBenchmark
% 58.72/58.83  % Transform   :cnf
% 58.72/58.83  % Format      :tptp:raw
% 58.72/58.83  % Command     :java -jar mcs_scs.jar %d %s
% 58.72/58.83  
% 58.72/58.83  % Result      :Theorem 58.140000s
% 58.72/58.83  % Output      :CNFRefutation 58.140000s
% 58.72/58.83  %-------------------------------------------
% 58.72/58.83  %------------------------------------------------------------------------------
% 58.72/58.83  % File     : PUZ129+2 : TPTP v8.2.0. Released v4.0.0.
% 58.72/58.83  % Domain   : Puzzles
% 58.72/58.83  % Problem  : The grocer is not a cyclist
% 58.72/58.83  % Version  : Especial.
% 58.72/58.83  %            Theorem formulation : Converted from ACE by the APE [FKK08].
% 58.72/58.83  % English  : If every honest and industrious person is healthy, and no grocer 
% 58.72/58.83  %            is healthy, and every industrious grocer is honest, and every 
% 58.72/58.83  %            cyclist is industrious, and every unhealthy cyclist is dishonest,
% 58.72/58.84  %            and no healthy person is unhealthy, and no honest person is
% 58.72/58.84  %            dishonest, and every grocer is a person, and every cyclist is a
% 58.72/58.84  %            person then no grocer is a cyclist.
% 58.72/58.84  
% 58.72/58.84  % Refs     : [FKK08] Fuchs et al. (2008), Attempto Controlled English for K
% 58.72/58.84  % Source   : [TPTP]
% 58.72/58.84  % Names    : 
% 58.72/58.84  
% 58.72/58.84  % Status   : Theorem
% 58.72/58.84  % Rating   : 0.14 v8.2.0, 0.11 v8.1.0, 0.14 v7.5.0, 0.16 v7.4.0, 0.03 v7.3.0, 0.14 v7.1.0, 0.09 v7.0.0, 0.10 v6.4.0, 0.15 v6.3.0, 0.04 v6.2.0, 0.12 v6.1.0, 0.20 v6.0.0, 0.13 v5.5.0, 0.11 v5.4.0, 0.14 v5.3.0, 0.22 v5.2.0, 0.10 v5.0.0, 0.04 v4.1.0, 0.09 v4.0.0
% 58.72/58.84  % Syntax   : Number of formulae    :    1 (   0 unt;   0 def)
% 58.72/58.84  %            Number of atoms       :   36 (  10 equ)
% 58.72/58.84  %            Maximal formula atoms :   36 (  36 avg)
% 58.72/58.84  %            Number of connectives :   39 (   4   ~;   0   |;  24   &)
% 58.72/58.84  %                                         (   0 <=>;  11  =>;   0  <=;   0 <~>)
% 58.72/58.84  %            Maximal formula depth :   14 (  14 avg)
% 58.72/58.84  %            Maximal term depth    :    1 (   1 avg)
% 58.72/58.84  %            Number of predicates  :    5 (   4 usr;   0 prp; 1-3 aty)
% 58.72/58.84  %            Number of functors    :    6 (   6 usr;   6 con; 0-0 aty)
% 58.72/58.84  %            Number of variables   :   20 (  10   !;  10   ?)
% 58.72/58.84  % SPC      : FOF_THM_RFO_SEQ
% 58.72/58.84  
% 58.72/58.84  % Comments : 
% 58.72/58.84  %------------------------------------------------------------------------------
% 58.72/58.84  fof(prove,conjecture,
% 58.72/58.84      ( ( ! [A] :
% 58.72/58.84            ( ( person(A)
% 58.72/58.84              & property1(A,honest,pos)
% 58.72/58.84              & property1(A,industrious,pos) )
% 58.72/58.84           => ? [B] :
% 58.72/58.84                ( property1(B,healthy,pos)
% 58.72/58.84                & A = B ) )
% 58.72/58.84        & ! [C] :
% 58.72/58.84            ( grocer(C)
% 58.72/58.84           => ~ ? [D] :
% 58.72/58.84                  ( property1(D,healthy,pos)
% 58.72/58.84                  & C = D ) )
% 58.72/58.84        & ! [E] :
% 58.72/58.84            ( ( grocer(E)
% 58.72/58.84              & property1(E,industrious,pos) )
% 58.72/58.84           => ? [F] :
% 58.72/58.84                ( property1(F,honest,pos)
% 58.72/58.84                & E = F ) )
% 58.72/58.84        & ! [G] :
% 58.72/58.84            ( cyclist(G)
% 58.72/58.84           => ? [H] :
% 58.72/58.84                ( property1(H,industrious,pos)
% 58.72/58.84                & G = H ) )
% 58.72/58.84        & ! [I] :
% 58.72/58.84            ( ( cyclist(I)
% 58.72/58.84              & property1(I,unhealthy,pos) )
% 58.72/58.84           => ? [J] :
% 58.72/58.84                ( property1(J,dishonest,pos)
% 58.72/58.84                & I = J ) )
% 58.72/58.84        & ! [K] :
% 58.72/58.84            ( ( person(K)
% 58.72/58.84              & property1(K,healthy,pos) )
% 58.72/58.84           => ~ ? [L] :
% 58.72/58.84                  ( property1(L,unhealthy,pos)
% 58.72/58.84                  & K = L ) )
% 58.72/58.84        & ! [M] :
% 58.72/58.84            ( ( person(M)
% 58.72/58.84              & property1(M,honest,pos) )
% 58.72/58.84           => ~ ? [N] :
% 58.72/58.84                  ( property1(N,dishonest,pos)
% 58.72/58.84                  & M = N ) )
% 58.72/58.84        & ! [O] :
% 58.72/58.84            ( grocer(O)
% 58.72/58.84           => ? [P] :
% 58.72/58.84                ( person(P)
% 58.72/58.84                & O = P ) )
% 58.72/58.84        & ! [Q] :
% 58.72/58.84            ( cyclist(Q)
% 58.72/58.84           => ? [R] :
% 58.72/58.84                ( person(R)
% 58.72/58.84                & Q = R ) ) )
% 58.72/58.84     => ! [S] :
% 58.72/58.84          ( grocer(S)
% 58.72/58.84         => ~ ? [T] :
% 58.72/58.84                ( cyclist(T)
% 58.72/58.84                & S = T ) ) ) ).
% 58.72/58.84  
% 58.72/58.84  %------------------------------------------------------------------------------
% 58.72/58.84  %-------------------------------------------
% 58.72/58.84  % Proof found
% 58.72/58.84  % SZS status Theorem for theBenchmark
% 58.72/58.84  % SZS output start Proof
% 58.72/58.84  %ClaNum:35(EqnAxiom:16)
% 58.72/58.84  %VarNum:52(SingletonVarNum:18)
% 58.72/58.84  %MaxLitNum:5
% 58.72/58.84  %MaxfuncDepth:1
% 58.72/58.84  %SharedTerms:14
% 58.72/58.84  %goalClause: 17 18 19 20
% 58.72/58.84  %singleGoalClaCount:4
% 58.72/58.84  [17]E(a1,a2)
% 58.72/58.84  [18]P1(a5000)
% 58.72/58.84  [19]P3(a2)
% 58.72/58.84  [20]P2(a1)
% 58.72/58.84  [21]~P2(x211)+E(f4(x211),x211)+~P1(a5000)
% 58.72/58.84  [22]~P3(x221)+E(f7(x221),x221)+~P1(a5000)
% 58.72/58.84  [23]~P2(x231)+E(f9(x231),x231)+~P1(a5000)
% 58.72/58.84  [24]~P3(x241)+P4(f7(x241))+~P1(a5000)
% 58.72/58.84  [25]~P2(x251)+P4(f9(x251))+~P1(a5000)
% 58.72/58.85  [26]~P2(x261)+P5(f4(x261),a10,a13)+~P1(a5000)
% 58.72/58.85  [28]~P3(x281)+E(f5(x281),x281)+~P5(x281,a10,a13)+~P1(a5000)
% 58.72/58.85  [29]~P2(x291)+E(f8(x291),x291)+~P5(x291,a14,a13)+~P1(a5000)
% 58.72/58.85  [30]~P3(x301)+~P5(x301,a10,a13)+P5(f5(x301),a12,a13)+~P1(a5000)
% 58.72/58.85  [31]~P2(x311)+~P5(x311,a14,a13)+P5(f8(x311),a3,a13)+~P1(a5000)
% 58.72/58.85  [27]~P3(x271)+~E(x271,x272)+~P5(x272,a11,a13)+~P1(a5000)
% 58.72/58.85  [34]~P4(x341)+E(f6(x341),x341)+~P5(x341,a12,a13)+~P5(x341,a10,a13)+~P1(a5000)
% 58.72/58.85  [35]~P4(x351)+~P5(x351,a12,a13)+~P5(x351,a10,a13)+P5(f6(x351),a11,a13)+~P1(a5000)
% 58.72/58.85  [32]~P4(x321)+~E(x321,x322)+~P5(x322,a14,a13)+~P5(x321,a11,a13)+~P1(a5000)
% 58.72/58.85  [33]~P4(x331)+~E(x331,x332)+~P5(x332,a3,a13)+~P5(x331,a12,a13)+~P1(a5000)
% 58.72/58.85  %EqnAxiom
% 58.72/58.85  [1]E(x11,x11)
% 58.72/58.85  [2]E(x22,x21)+~E(x21,x22)
% 58.72/58.85  [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 58.72/58.85  [4]~E(x41,x42)+E(f4(x41),f4(x42))
% 58.72/58.85  [5]~E(x51,x52)+E(f7(x51),f7(x52))
% 58.72/58.85  [6]~E(x61,x62)+E(f9(x61),f9(x62))
% 58.72/58.85  [7]~E(x71,x72)+E(f6(x71),f6(x72))
% 58.72/58.85  [8]~E(x81,x82)+E(f8(x81),f8(x82))
% 58.72/58.85  [9]~E(x91,x92)+E(f5(x91),f5(x92))
% 58.72/58.85  [10]~P1(x101)+P1(x102)+~E(x101,x102)
% 58.72/58.85  [11]~P3(x111)+P3(x112)+~E(x111,x112)
% 58.72/58.85  [12]~P2(x121)+P2(x122)+~E(x121,x122)
% 58.72/58.85  [13]P5(x132,x133,x134)+~E(x131,x132)+~P5(x131,x133,x134)
% 58.72/58.85  [14]P5(x143,x142,x144)+~E(x141,x142)+~P5(x143,x141,x144)
% 58.72/58.85  [15]P5(x153,x154,x152)+~E(x151,x152)+~P5(x153,x154,x151)
% 58.72/58.85  [16]~P4(x161)+P4(x162)+~E(x161,x162)
% 58.72/58.85  
% 58.72/58.85  %-------------------------------------------
% 58.72/58.86  cnf(36,plain,
% 58.72/58.86     (~P3(x361)+~P5(x361,a11,a13)+~P1(a5000)),
% 58.72/58.86     inference(equality_inference,[],[27])).
% 58.72/58.86  cnf(38,plain,
% 58.72/58.86     (~P4(x381)+~P5(x381,a3,a13)+~P5(x381,a12,a13)+~P1(a5000)),
% 58.72/58.86     inference(equality_inference,[],[33])).
% 58.72/58.86  cnf(39,plain,
% 58.72/58.86     (~P3(x391)+~P5(x391,a11,a13)),
% 58.72/58.86     inference(scs_inference,[],[18,36])).
% 58.72/58.86  cnf(41,plain,
% 58.72/58.86     (~P4(x411)+~P5(x411,a3,a13)+~P5(x411,a12,a13)),
% 58.72/58.86     inference(scs_inference,[],[18,38])).
% 58.72/58.86  cnf(42,plain,
% 58.72/58.86     (E(a2,a1)),
% 58.72/58.86     inference(scs_inference,[],[17,2])).
% 58.72/58.86  cnf(43,plain,
% 58.72/58.86     (E(f4(a1),a1)),
% 58.72/58.86     inference(scs_inference,[],[17,18,20,2,21])).
% 58.72/58.86  cnf(45,plain,
% 58.72/58.86     (E(f7(a2),a2)),
% 58.72/58.86     inference(scs_inference,[],[17,18,19,20,2,21,22])).
% 58.72/58.86  cnf(47,plain,
% 58.72/58.86     (E(f9(a1),a1)),
% 58.72/58.86     inference(scs_inference,[],[17,18,19,20,2,21,22,23])).
% 58.72/58.86  cnf(49,plain,
% 58.72/58.86     (P3(a1)),
% 58.72/58.86     inference(scs_inference,[],[17,18,19,20,2,21,22,23,11])).
% 58.72/58.86  cnf(50,plain,
% 58.72/58.86     (P2(a2)),
% 58.72/58.86     inference(scs_inference,[],[17,18,19,20,2,21,22,23,11,12])).
% 58.72/58.86  cnf(51,plain,
% 58.72/58.86     (~P5(a1,a11,a13)),
% 58.72/58.86     inference(scs_inference,[],[17,18,19,20,2,21,22,23,11,12,27])).
% 58.72/58.86  cnf(58,plain,
% 58.72/58.86     (~P2(x581)+E(f4(x581),x581)),
% 58.72/58.86     inference(scs_inference,[],[18,21])).
% 58.72/58.86  cnf(59,plain,
% 58.72/58.86     (~P3(x591)+E(f7(x591),x591)),
% 58.72/58.86     inference(scs_inference,[],[18,22])).
% 58.72/58.86  cnf(60,plain,
% 58.72/58.86     (~P2(x601)+E(f9(x601),x601)),
% 58.72/58.86     inference(scs_inference,[],[18,23])).
% 58.72/58.86  cnf(61,plain,
% 58.72/58.86     (~P3(x611)+P4(f7(x611))),
% 58.72/58.86     inference(scs_inference,[],[18,24])).
% 58.72/58.86  cnf(62,plain,
% 58.72/58.86     (~P2(x621)+P4(f9(x621))),
% 58.72/58.86     inference(scs_inference,[],[18,25])).
% 58.72/58.86  cnf(63,plain,
% 58.72/58.86     (~P2(x631)+P5(f4(x631),a10,a13)),
% 58.72/58.86     inference(scs_inference,[],[18,26])).
% 58.72/58.86  cnf(64,plain,
% 58.72/58.86     (~P3(x641)+~E(x641,x642)+~P5(x642,a11,a13)),
% 58.72/58.86     inference(scs_inference,[],[18,27])).
% 58.72/58.86  cnf(65,plain,
% 58.72/58.86     (~P3(x651)+E(f5(x651),x651)+~P5(x651,a10,a13)),
% 58.72/58.86     inference(scs_inference,[],[18,28])).
% 58.72/58.86  cnf(66,plain,
% 58.72/58.86     (~P2(x661)+E(f8(x661),x661)+~P5(x661,a14,a13)),
% 58.72/58.86     inference(scs_inference,[],[18,29])).
% 58.72/58.86  cnf(67,plain,
% 58.72/58.86     (~P3(x671)+~P5(x671,a10,a13)+P5(f5(x671),a12,a13)),
% 58.72/58.86     inference(scs_inference,[],[18,30])).
% 58.72/58.86  cnf(70,plain,
% 58.72/58.86     (~P4(x701)+~E(x701,x702)+~P5(x702,a3,a13)+~P5(x701,a12,a13)),
% 58.72/58.86     inference(scs_inference,[],[18,33])).
% 58.72/58.86  cnf(71,plain,
% 58.72/58.86     (~P4(x711)+E(f6(x711),x711)+~P5(x711,a12,a13)+~P5(x711,a10,a13)),
% 58.72/58.86     inference(scs_inference,[],[18,34])).
% 58.72/58.86  cnf(72,plain,
% 58.72/58.86     (~P4(x721)+~P5(x721,a12,a13)+~P5(x721,a10,a13)+P5(f6(x721),a11,a13)),
% 58.72/58.86     inference(scs_inference,[],[18,35])).
% 58.72/58.86  cnf(73,plain,
% 58.72/58.86     (E(a1,f4(a1))),
% 58.72/58.86     inference(scs_inference,[],[43,2])).
% 58.72/58.86  cnf(74,plain,
% 58.72/58.86     (P3(f4(a1))),
% 58.72/58.86     inference(scs_inference,[],[43,49,2,11])).
% 58.72/58.86  cnf(75,plain,
% 58.72/58.86     (P2(f4(a1))),
% 58.72/58.86     inference(scs_inference,[],[20,43,49,2,11,12])).
% 58.72/58.86  cnf(82,plain,
% 58.72/58.86     (E(a2,f7(a2))),
% 58.72/58.86     inference(scs_inference,[],[45,2])).
% 58.72/58.86  cnf(85,plain,
% 58.72/58.86     (E(a2,f4(a1))),
% 58.72/58.86     inference(scs_inference,[],[19,42,45,73,50,2,11,12,3])).
% 58.72/58.86  cnf(88,plain,
% 58.72/58.86     (E(a1,f9(a1))),
% 58.72/58.86     inference(scs_inference,[],[47,2])).
% 58.72/58.86  cnf(89,plain,
% 58.72/58.86     (P3(f9(a1))),
% 58.72/58.86     inference(scs_inference,[],[47,49,2,11])).
% 58.72/58.86  cnf(90,plain,
% 58.72/58.86     (P2(f9(a1))),
% 58.72/58.86     inference(scs_inference,[],[20,47,49,2,11,12])).
% 58.72/58.86  cnf(91,plain,
% 58.72/58.86     (E(f9(a1),a2)),
% 58.72/58.86     inference(scs_inference,[],[17,20,47,49,2,11,12,3])).
% 58.72/58.86  cnf(95,plain,
% 58.72/58.86     (E(a2,f9(a1))),
% 58.72/58.86     inference(scs_inference,[],[91,2])).
% 58.72/58.86  cnf(96,plain,
% 58.72/58.86     (E(a1,f7(a2))),
% 58.72/58.86     inference(scs_inference,[],[17,82,91,2,3])).
% 58.72/58.86  cnf(99,plain,
% 58.72/58.86     (E(f7(a2),a1)),
% 58.72/58.86     inference(scs_inference,[],[96,2])).
% 58.72/58.86  cnf(115,plain,
% 58.72/58.86     (E(f4(a1),f7(a2))),
% 58.72/58.86     inference(scs_inference,[],[96,43,3])).
% 58.72/58.86  cnf(122,plain,
% 58.72/58.86     (~P4(f9(a1))+P4(a2)),
% 58.72/58.86     inference(scs_inference,[],[91,16])).
% 58.72/58.86  cnf(177,plain,
% 58.72/58.86     (E(f7(a2),f9(a1))),
% 58.72/58.86     inference(scs_inference,[],[45,95,3])).
% 58.72/58.86  cnf(183,plain,
% 58.72/58.86     (P4(a2)),
% 58.72/58.86     inference(scs_inference,[],[20,122,62])).
% 58.72/58.86  cnf(216,plain,
% 58.72/58.86     (E(f4(f4(a1)),f4(a1))),
% 58.72/58.86     inference(scs_inference,[],[20,58,4])).
% 58.72/58.86  cnf(220,plain,
% 58.72/58.86     (E(a2,f4(f4(a1)))),
% 58.72/58.86     inference(scs_inference,[],[85,216,74,75,2,11,12,3])).
% 58.72/58.86  cnf(225,plain,
% 58.72/58.86     (E(a1,f4(f4(a1)))),
% 58.72/58.86     inference(scs_inference,[],[17,220,2,3])).
% 58.72/58.86  cnf(230,plain,
% 58.72/58.86     (E(f9(f9(a1)),f9(a1))),
% 58.72/58.86     inference(scs_inference,[],[20,60,6])).
% 58.72/58.86  cnf(234,plain,
% 58.72/58.86     (E(a1,f9(f9(a1)))),
% 58.72/58.86     inference(scs_inference,[],[89,88,230,90,2,11,12,3])).
% 58.72/58.86  cnf(241,plain,
% 58.72/58.86     (E(f4(a1),f9(f9(a1)))),
% 58.72/58.86     inference(scs_inference,[],[43,225,234,2,3])).
% 58.72/58.86  cnf(253,plain,
% 58.72/58.86     (E(f9(f9(a1)),f4(a1))),
% 58.72/58.86     inference(scs_inference,[],[241,2])).
% 58.72/58.86  cnf(281,plain,
% 58.72/58.86     (E(f7(a2),f9(f9(a1)))),
% 58.72/58.86     inference(scs_inference,[],[99,234,3])).
% 58.72/58.86  cnf(291,plain,
% 58.72/58.86     (P5(f4(a2),a10,a13)),
% 58.72/58.86     inference(scs_inference,[],[17,20,63,12])).
% 58.72/58.86  cnf(310,plain,
% 58.72/58.86     (P5(x3101,a10,a13)+~E(f4(a2),x3101)),
% 58.72/58.86     inference(scs_inference,[],[291,13])).
% 58.72/58.86  cnf(311,plain,
% 58.72/58.86     (~E(f4(a2),a2)+P5(f5(a2),a12,a13)),
% 58.72/58.86     inference(scs_inference,[],[19,291,13,67])).
% 58.72/58.86  cnf(338,plain,
% 58.72/58.86     (P5(f5(a2),a12,a13)),
% 58.72/58.86     inference(scs_inference,[],[50,311,58])).
% 58.72/58.86  cnf(339,plain,
% 58.72/58.86     (P5(x3391,a12,a13)+~E(f5(a2),x3391)),
% 58.72/58.86     inference(scs_inference,[],[338,13])).
% 58.72/58.86  cnf(346,plain,
% 58.72/58.86     (~P3(f5(a2))+~E(a12,a11)),
% 58.72/58.86     inference(scs_inference,[],[338,14,39])).
% 58.72/58.86  cnf(356,plain,
% 58.72/58.86     (~E(a11,a12)+~P3(f5(a2))),
% 58.72/58.86     inference(scs_inference,[],[346,2])).
% 58.72/58.86  cnf(372,plain,
% 58.72/58.86     (~E(a2,f5(a2))+~E(a11,a12)),
% 58.72/58.86     inference(scs_inference,[],[19,356,11])).
% 58.72/58.86  cnf(404,plain,
% 58.72/58.86     (~E(f5(a2),a2)+~E(a11,a12)),
% 58.72/58.86     inference(scs_inference,[],[372,2])).
% 58.72/58.86  cnf(3760,plain,
% 58.72/58.86     (~P5(f4(a1),a11,a13)),
% 58.72/58.86     inference(scs_inference,[],[51,43,13])).
% 58.72/58.86  cnf(3765,plain,
% 58.72/58.86     (~P5(f9(f9(a1)),a11,a13)),
% 58.72/58.86     inference(scs_inference,[],[253,3760,13])).
% 58.72/58.86  cnf(3772,plain,
% 58.72/58.86     (~P5(f7(a2),a11,a13)),
% 58.72/58.86     inference(scs_inference,[],[281,3765,13])).
% 58.72/58.86  cnf(5082,plain,
% 58.72/58.86     (E(f7(a1),f7(a2))),
% 58.72/58.86     inference(scs_inference,[],[17,49,50,58,59,60,5])).
% 58.72/58.86  cnf(5084,plain,
% 58.72/58.86     (E(f6(a1),f6(a2))),
% 58.72/58.86     inference(scs_inference,[],[17,49,50,58,59,60,5,6,7])).
% 58.72/58.86  cnf(5089,plain,
% 58.72/58.86     (P5(a2,a10,a13)),
% 58.72/58.86     inference(scs_inference,[],[17,49,50,20,58,59,60,5,6,7,8,9,63,310])).
% 58.72/58.86  cnf(5092,plain,
% 58.72/58.86     (E(a2,f4(a2))),
% 58.72/58.86     inference(scs_inference,[],[17,49,50,20,58,59,60,5,6,7,8,9,63,310,62,2])).
% 58.72/58.86  cnf(5095,plain,
% 58.72/58.86     (E(f4(a1),f4(a2))),
% 58.72/58.86     inference(scs_inference,[],[17,49,50,20,58,59,60,5,6,7,8,9,63,310,62,2,61,4])).
% 58.72/58.86  cnf(5096,plain,
% 58.72/58.86     (P5(f7(a2),a10,a13)),
% 58.72/58.86     inference(scs_inference,[],[17,115,49,50,20,58,59,60,5,6,7,8,9,63,310,62,2,61,4,13])).
% 58.72/58.86  cnf(5100,plain,
% 58.72/58.86     (E(f7(a2),f9(a2))),
% 58.72/58.86     inference(scs_inference,[],[17,90,115,177,49,50,20,19,58,59,60,5,6,7,8,9,63,310,62,2,61,4,13,65,12,3])).
% 58.72/58.86  cnf(5105,plain,
% 58.72/58.86     (P5(a2,a12,a13)),
% 58.72/58.86     inference(scs_inference,[],[17,90,115,89,177,49,50,20,19,58,59,60,5,6,7,8,9,63,310,62,2,61,4,13,65,12,3,11,404,39,339])).
% 58.72/58.86  cnf(5108,plain,
% 58.72/58.86     (~P5(a2,a3,a13)),
% 58.72/58.86     inference(scs_inference,[],[17,90,115,89,177,183,49,50,20,19,58,59,60,5,6,7,8,9,63,310,62,2,61,4,13,65,12,3,11,404,39,339,66,41])).
% 58.72/58.86  cnf(5147,plain,
% 58.72/58.86     (P5(f6(a2),a11,a13)),
% 58.72/58.86     inference(scs_inference,[],[17,5089,5105,5108,5082,5095,5092,74,75,3772,183,42,5,9,8,7,6,2,339,13,12,3,11,14,70,72])).
% 58.72/58.86  cnf(5149,plain,
% 58.72/58.86     (E(f6(a2),a2)),
% 58.72/58.86     inference(scs_inference,[],[17,5089,5105,5108,5082,5095,5092,74,75,3772,183,42,5,9,8,7,6,2,339,13,12,3,11,14,70,72,71])).
% 58.72/58.86  cnf(5183,plain,
% 58.72/58.86     (E(a2,f6(a2))),
% 58.72/58.86     inference(scs_inference,[],[5149,2])).
% 58.72/58.86  cnf(5185,plain,
% 58.72/58.86     (E(f6(a1),a2)),
% 58.72/58.86     inference(scs_inference,[],[5084,5149,5100,5096,2,13,3])).
% 58.72/58.86  cnf(5199,plain,
% 58.72/58.86     ($false),
% 58.72/58.86     inference(scs_inference,[],[5185,5183,5147,19,2,64]),
% 58.72/58.86     ['proof']).
% 58.72/58.86  % SZS output end Proof
% 58.72/58.86  % Total time :58.140000s
%------------------------------------------------------------------------------