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CSE---1.7.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE---1.7
% Problem  : FLD035-3 : TPTP v8.2.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s

% Computer : n016.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 05:55:21 EDT 2024

% Result   : Unsatisfiable 58.87s 59.13s
% Output   : CNFRefutation 58.87s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem    : FLD035-3 : TPTP v8.2.0. Bugfixed v2.1.0.
% 0.00/0.09  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.09/0.29  % Computer : n016.cluster.edu
% 0.09/0.29  % Model    : x86_64 x86_64
% 0.09/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29  % Memory   : 8042.1875MB
% 0.09/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29  % CPULimit   : 300
% 0.09/0.29  % WCLimit    : 300
% 0.09/0.29  % DateTime   : Wed Jun 19 10:20:54 EDT 2024
% 0.09/0.29  % CPUTime    : 
% 0.15/0.52  start to proof:theBenchmark
% 58.87/59.12  %-------------------------------------------
% 58.87/59.12  % File        :CSE---1.7
% 58.87/59.12  % Problem     :theBenchmark
% 58.87/59.12  % Transform   :cnf
% 58.87/59.12  % Format      :tptp:raw
% 58.87/59.12  % Command     :java -jar mcs_scs.jar %d %s
% 58.87/59.12  
% 58.87/59.12  % Result      :Theorem 58.390000s
% 58.87/59.12  % Output      :CNFRefutation 58.390000s
% 58.87/59.12  %-------------------------------------------
% 58.87/59.12  %--------------------------------------------------------------------------
% 58.87/59.12  % File     : FLD035-3 : TPTP v8.2.0. Bugfixed v2.1.0.
% 58.87/59.12  % Domain   : Field Theory (Ordered fields)
% 58.87/59.12  % Problem  : Elimination of a multiplication in an equation
% 58.87/59.12  % Version  : [Dra93] axioms : Especial.
% 58.87/59.12  %            Theorem formulation : Functional with re axiom set.
% 58.87/59.12  % English  :
% 58.87/59.12  
% 58.87/59.12  % Refs     : [Dra93] Draeger (1993), Anwendung des Theorembeweisers SETHEO
% 58.87/59.12  % Source   : [Dra93]
% 58.87/59.12  % Names    :
% 58.87/59.12  
% 58.87/59.12  % Status   : Unsatisfiable
% 58.87/59.12  % Rating   : 0.08 v8.2.0, 0.14 v8.1.0, 0.00 v7.1.0, 0.17 v7.0.0, 0.25 v6.3.0, 0.14 v6.2.0, 0.11 v6.1.0, 0.14 v5.5.0, 0.25 v5.4.0, 0.20 v5.1.0, 0.18 v5.0.0, 0.14 v4.1.0, 0.00 v4.0.1, 0.20 v4.0.0, 0.14 v3.4.0, 0.25 v3.3.0, 0.33 v3.1.0, 0.17 v2.7.0, 0.00 v2.6.0, 0.33 v2.5.0, 0.20 v2.3.0, 0.33 v2.2.1, 0.67 v2.1.0
% 58.87/59.12  % Syntax   : Number of clauses     :   34 (  11 unt;   3 nHn;  34 RR)
% 58.87/59.12  %            Number of literals    :   85 (   0 equ;  51 neg)
% 58.87/59.12  %            Maximal clause size   :    5 (   2 avg)
% 58.87/59.12  %            Maximal term depth    :    2 (   1 avg)
% 58.87/59.12  %            Number of predicates  :    4 (   4 usr;   0 prp; 1-3 aty)
% 58.87/59.12  %            Number of functors    :   10 (  10 usr;   6 con; 0-2 aty)
% 58.87/59.12  %            Number of variables   :   73 (   0 sgn)
% 58.87/59.12  % SPC      : CNF_UNS_RFO_NEQ_NHN
% 58.87/59.12  
% 58.87/59.12  % Comments :
% 58.87/59.12  % Bugfixes : v2.1.0 - Bugfix in FLD002-0.ax
% 58.87/59.12  %--------------------------------------------------------------------------
% 58.87/59.12  include('Axioms/FLD002-0.ax').
% 58.87/59.12  %--------------------------------------------------------------------------
% 58.87/59.12  cnf(a_is_defined,hypothesis,
% 58.87/59.12      defined(a) ).
% 58.87/59.12  
% 58.87/59.12  cnf(b_is_defined,hypothesis,
% 58.87/59.12      defined(b) ).
% 58.87/59.12  
% 58.87/59.12  cnf(c_is_defined,hypothesis,
% 58.87/59.12      defined(c) ).
% 58.87/59.12  
% 58.87/59.12  cnf(u_is_defined,hypothesis,
% 58.87/59.12      defined(u) ).
% 58.87/59.12  
% 58.87/59.12  cnf(product_5,negated_conjecture,
% 58.87/59.13      product(a,c,u) ).
% 58.87/59.13  
% 58.87/59.13  cnf(product_6,negated_conjecture,
% 58.87/59.13      product(b,c,u) ).
% 58.87/59.13  
% 58.87/59.13  cnf(not_sum_7,negated_conjecture,
% 58.87/59.13      ~ sum(additive_identity,c,additive_identity) ).
% 58.87/59.13  
% 58.87/59.13  cnf(not_product_8,negated_conjecture,
% 58.87/59.13      ~ product(multiplicative_identity,a,b) ).
% 58.87/59.13  
% 58.87/59.13  %--------------------------------------------------------------------------
% 58.87/59.13  %-------------------------------------------
% 58.87/59.13  % Proof found
% 58.87/59.13  % SZS status Theorem for theBenchmark
% 58.87/59.13  % SZS output start Proof
% 58.87/59.13  %ClaNum:34(EqnAxiom:0)
% 58.87/59.13  %VarNum:162(SingletonVarNum:73)
% 58.87/59.13  %MaxLitNum:5
% 58.87/59.13  %MaxfuncDepth:1
% 58.87/59.13  %SharedTerms:17
% 58.87/59.13  %goalClause: 7 8 10 11
% 58.87/59.13  %singleGoalClaCount:4
% 58.87/59.13  [1]P1(a1)
% 58.87/59.13  [2]P1(a4)
% 58.87/59.13  [3]P1(a2)
% 58.87/59.13  [4]P1(a5)
% 58.87/59.13  [5]P1(a7)
% 58.87/59.13  [6]P1(a8)
% 58.87/59.13  [7]P2(a2,a7,a8)
% 58.87/59.13  [8]P2(a5,a7,a8)
% 58.87/59.13  [9]~P4(a1,a1,a4)
% 58.87/59.13  [10]~P4(a1,a7,a1)
% 58.87/59.13  [11]~P2(a4,a2,a5)
% 58.87/59.13  [17]~P1(x171)+P4(a1,x171,x171)
% 58.87/59.13  [18]~P1(x181)+P2(a4,x181,x181)
% 58.87/59.13  [12]~P1(x121)+P1(f6(x121))
% 58.87/59.13  [19]~P1(x191)+P4(f6(x191),x191,a1)
% 58.87/59.13  [26]~P4(x262,x261,x263)+P4(x261,x262,x263)
% 58.87/59.13  [27]~P2(x272,x271,x273)+P2(x271,x272,x273)
% 58.87/59.13  [20]~P1(x201)+P4(a1,x201,a1)+P1(f10(x201))
% 58.87/59.13  [24]~P1(x241)+P2(f10(x241),x241,a4)+P4(a1,x241,a1)
% 58.87/59.13  [23]~P3(x232,x231)+~P3(x231,x232)+P4(a1,x231,x232)
% 58.87/59.13  [14]~P1(x142)+~P1(x141)+P1(f3(x141,x142))
% 58.87/59.13  [15]~P1(x152)+~P1(x151)+P1(f9(x151,x152))
% 58.87/59.13  [21]~P1(x212)+~P1(x211)+P4(x211,x212,f3(x211,x212))
% 58.87/59.13  [22]~P1(x222)+~P1(x221)+P2(x221,x222,f9(x221,x222))
% 58.87/59.13  [16]~P3(x161,x163)+P3(x161,x162)+~P3(x163,x162)
% 58.87/59.13  [13]P3(x132,x131)+~P1(x131)+~P1(x132)+P3(x131,x132)
% 58.87/59.13  [25]~P2(x253,x252,x251)+P3(a1,x251)+~P3(a1,x252)+~P3(a1,x253)
% 58.87/59.13  [28]~P4(x283,x285,x281)+P3(x281,x282)+~P4(x284,x285,x282)+~P3(x283,x284)
% 58.87/59.13  [29]~P4(x291,x296,x294)+P4(x291,x292,x293)+~P4(x294,x295,x293)+~P4(x296,x295,x292)
% 58.87/59.13  [30]~P4(x306,x304,x301)+P4(x301,x302,x303)+~P4(x304,x302,x305)+~P4(x306,x305,x303)
% 58.87/59.13  [31]~P2(x311,x316,x314)+P2(x311,x312,x313)+~P2(x314,x315,x313)+~P2(x316,x315,x312)
% 58.87/59.13  [32]~P2(x326,x324,x321)+P2(x321,x322,x323)+~P2(x324,x322,x325)+~P2(x326,x325,x323)
% 58.87/59.13  [33]~P2(x335,x337,x332)+~P2(x334,x337,x331)+P4(x331,x332,x333)+~P4(x334,x335,x336)+~P2(x336,x337,x333)
% 58.87/59.13  [34]~P2(x347,x342,x345)+~P2(x346,x342,x344)+P2(x341,x342,x343)+~P4(x344,x345,x343)+~P4(x346,x347,x341)
% 58.87/59.13  %EqnAxiom
% 58.87/59.13  
% 58.87/59.13  %-------------------------------------------
% 58.87/59.13  cnf(35,plain,
% 58.87/59.13     (~P2(a2,a4,a5)),
% 58.87/59.13     inference(scs_inference,[],[11,27])).
% 58.87/59.13  cnf(39,plain,
% 58.87/59.13     (P3(a1,a1)),
% 58.87/59.13     inference(scs_inference,[],[10,11,1,27,26,13])).
% 58.87/59.13  cnf(43,plain,
% 58.87/59.13     (~P2(x431,a2,a2)+P2(x431,a8,a8)),
% 58.87/59.13     inference(scs_inference,[],[7,10,11,1,27,26,13,23,31])).
% 58.87/59.13  cnf(45,plain,
% 58.87/59.13     (P2(a8,x451,a8)+~P2(a7,x451,a7)),
% 58.87/59.13     inference(scs_inference,[],[7,10,11,1,27,26,13,23,31,32])).
% 58.87/59.13  cnf(48,plain,
% 58.87/59.13     (P3(a4,a4)),
% 58.87/59.13     inference(scs_inference,[],[2,13])).
% 58.87/59.14  cnf(55,plain,
% 58.87/59.14     (P3(a2,a2)),
% 58.87/59.14     inference(scs_inference,[],[3,13])).
% 58.87/59.14  cnf(62,plain,
% 58.87/59.14     (P3(a7,a7)),
% 58.87/59.14     inference(scs_inference,[],[5,13])).
% 58.87/59.14  cnf(67,plain,
% 58.87/59.14     (P3(a8,a8)),
% 58.87/59.14     inference(scs_inference,[],[6,13])).
% 58.87/59.14  cnf(72,plain,
% 58.87/59.14     (P3(a5,a5)),
% 58.87/59.14     inference(scs_inference,[],[4,13])).
% 58.87/59.14  cnf(76,plain,
% 58.87/59.14     (~P4(a4,x761,x762)+~P4(a4,x761,x763)+P3(x762,x763)),
% 58.87/59.14     inference(scs_inference,[],[48,28])).
% 58.87/59.14  cnf(101,plain,
% 58.87/59.14     (P4(a1,f6(a4),f6(a4))),
% 58.87/59.14     inference(scs_inference,[],[2,17,12])).
% 58.87/59.14  cnf(155,plain,
% 58.87/59.14     (P4(f6(f6(a8)),f6(a8),a1)),
% 58.87/59.14     inference(scs_inference,[],[6,19,12])).
% 58.87/59.14  cnf(158,plain,
% 58.87/59.14     (~P4(a7,f6(a8),f6(a8))),
% 58.87/59.14     inference(scs_inference,[],[10,155,30,26])).
% 58.87/59.14  cnf(191,plain,
% 58.87/59.14     (P2(a8,x1911,a8)+~P2(x1911,a2,a2)),
% 58.87/59.14     inference(scs_inference,[],[43,27])).
% 58.87/59.14  cnf(207,plain,
% 58.87/59.14     (~P2(x2071,a7,a7)+P2(a8,x2071,a8)),
% 58.87/59.14     inference(scs_inference,[],[45,27])).
% 58.87/59.14  cnf(287,plain,
% 58.87/59.14     (P2(a8,a4,a8)),
% 58.87/59.14     inference(scs_inference,[],[3,191,18])).
% 58.87/59.14  cnf(311,plain,
% 58.87/59.14     (P2(x3111,a8,a8)+~P2(x3111,a7,a7)),
% 58.87/59.14     inference(scs_inference,[],[207,27])).
% 58.87/59.14  cnf(389,plain,
% 58.87/59.14     (P2(a4,a8,a8)),
% 58.87/59.14     inference(scs_inference,[],[5,311,18])).
% 58.87/59.14  cnf(1046,plain,
% 58.87/59.14     (P4(a1,f6(a7),f6(a7))),
% 58.87/59.14     inference(scs_inference,[],[5,12,17])).
% 58.87/59.14  cnf(1243,plain,
% 58.87/59.14     (P4(a1,f6(a8),f6(a8))),
% 58.87/59.14     inference(scs_inference,[],[6,12,17])).
% 58.87/59.14  cnf(1360,plain,
% 58.87/59.14     (P2(a4,f6(a4),f6(a4))),
% 58.87/59.14     inference(scs_inference,[],[2,12,18])).
% 58.87/59.14  cnf(1577,plain,
% 58.87/59.14     (P2(a4,f6(a8),f6(a8))),
% 58.87/59.14     inference(scs_inference,[],[6,12,18])).
% 58.87/59.14  cnf(2548,plain,
% 58.87/59.14     (P4(f6(f6(a7)),f6(a7),a1)),
% 58.87/59.14     inference(scs_inference,[],[5,12,19])).
% 58.87/59.14  cnf(2549,plain,
% 58.87/59.14     (~P4(f6(a7),a7,f6(a7))),
% 58.87/59.14     inference(scs_inference,[],[10,2548,30])).
% 58.87/59.14  cnf(2663,plain,
% 58.87/59.14     (P4(a8,a1,a8)),
% 58.87/59.14     inference(scs_inference,[],[6,17,26])).
% 58.87/59.14  cnf(3317,plain,
% 58.87/59.14     (~P4(x33171,f6(a7),a7)+~P4(f6(a7),x33171,a1)),
% 58.87/59.14     inference(scs_inference,[],[1046,2549,29])).
% 58.87/59.14  cnf(3630,plain,
% 58.87/59.14     (~P4(a7,f6(a7),a7)),
% 58.87/59.14     inference(scs_inference,[],[5,3317,19])).
% 58.87/59.14  cnf(3633,plain,
% 58.87/59.14     (~P4(a7,a1,x36331)+~P4(x36331,f6(a7),a7)),
% 58.87/59.14     inference(scs_inference,[],[1046,3630,26,29])).
% 58.87/59.14  cnf(3646,plain,
% 58.87/59.14     (~P2(a7,x36461,a4)+~P2(a8,x36461,a5)),
% 58.87/59.14     inference(scs_inference,[],[7,35,31])).
% 58.87/59.14  cnf(3649,plain,
% 58.87/59.14     (~P2(a8,x36491,a2)+~P2(a8,x36491,a5)),
% 58.87/59.14     inference(scs_inference,[],[11,389,31])).
% 58.87/59.14  cnf(3660,plain,
% 58.87/59.14     (~P2(x36601,a8,a5)+~P2(a7,x36601,a4)),
% 58.87/59.14     inference(scs_inference,[],[3646,27])).
% 58.87/59.14  cnf(3676,plain,
% 58.87/59.14     (~P2(x36761,a8,a5)+~P2(a8,x36761,a2)),
% 58.87/59.14     inference(scs_inference,[],[3649,27])).
% 58.87/59.14  cnf(3708,plain,
% 58.87/59.14     (~P2(x37081,a7,a4)+~P2(x37081,a8,a5)),
% 58.87/59.14     inference(scs_inference,[],[3660,27])).
% 58.87/59.14  cnf(3724,plain,
% 58.87/59.14     (~P2(a5,x37241,a2)+~P2(a7,x37242,x37241)+~P2(x37242,a8,a5)),
% 58.87/59.14     inference(scs_inference,[],[8,3676,32])).
% 58.87/59.14  cnf(3756,plain,
% 58.87/59.14     (~P2(a8,x37561,a5)+~P2(x37561,a7,a4)),
% 58.87/59.14     inference(scs_inference,[],[3708,27])).
% 58.87/59.14  cnf(3800,plain,
% 58.87/59.14     (P4(f6(a8),f6(f6(a8)),a1)),
% 58.87/59.14     inference(scs_inference,[],[155,26])).
% 58.87/59.14  cnf(3863,plain,
% 58.87/59.14     (P4(f6(a7),f6(f6(a7)),a1)),
% 58.87/59.14     inference(scs_inference,[],[2548,26])).
% 58.87/59.14  cnf(3872,plain,
% 58.87/59.14     (~P2(a8,f10(a7),a5)),
% 58.87/59.14     inference(scs_inference,[],[10,5,3756,24])).
% 58.87/59.14  cnf(3873,plain,
% 58.87/59.14     (~P2(f10(a7),a8,a5)),
% 58.87/59.14     inference(scs_inference,[],[3872,27])).
% 58.87/59.14  cnf(3954,plain,
% 58.87/59.14     (P2(a7,a5,a8)),
% 58.87/59.14     inference(scs_inference,[],[8,27])).
% 58.87/59.14  cnf(3957,plain,
% 58.87/59.14     (P2(a7,a2,a8)),
% 58.87/59.14     inference(scs_inference,[],[7,27])).
% 58.87/59.14  cnf(3964,plain,
% 58.87/59.14     (~P2(a1,a4,a7)),
% 58.87/59.14     inference(scs_inference,[],[158,1577,1243,27,33])).
% 58.87/59.14  cnf(3984,plain,
% 58.87/59.14     (P2(f6(a4),a4,f6(a4))),
% 58.87/59.14     inference(scs_inference,[],[1360,27])).
% 58.87/59.14  cnf(4058,plain,
% 58.87/59.14     (~P2(x40581,x40582,a4)+~P2(a1,x40581,x40583)+~P2(x40583,x40582,a7)),
% 58.87/59.14     inference(scs_inference,[],[1046,3800,3863,3964,9,55,29,31])).
% 58.87/59.14  cnf(4073,plain,
% 58.87/59.14     (~P4(f6(a7),x40731,a7)+~P4(a7,a1,x40731)),
% 58.87/59.14     inference(scs_inference,[],[3633,26])).
% 58.87/59.14  cnf(4333,plain,
% 58.87/59.14     (~P4(f6(a7),f3(a7,a1),a7)),
% 58.87/59.14     inference(scs_inference,[],[1,5,4073,21])).
% 58.87/59.14  cnf(5185,plain,
% 58.87/59.14     (P4(f6(a4),a4,a1)),
% 58.87/59.14     inference(scs_inference,[],[4333,2,12,18,26,19])).
% 58.87/59.14  cnf(5187,plain,
% 58.87/59.14     (~P2(a4,a1,a7)),
% 58.87/59.14     inference(scs_inference,[],[4333,3964,2,12,18,26,19,27])).
% 58.87/59.14  cnf(5189,plain,
% 58.87/59.14     (P4(a1,a4,a4)),
% 58.87/59.14     inference(scs_inference,[],[4333,3964,2,12,18,26,19,27,17])).
% 58.87/59.14  cnf(5191,plain,
% 58.87/59.14     (P1(f3(a4,a4))),
% 58.87/59.14     inference(scs_inference,[],[4333,3964,2,12,18,26,19,27,17,14])).
% 58.87/59.14  cnf(5195,plain,
% 58.87/59.14     (P4(a4,a4,f3(a4,a4))),
% 58.87/59.14     inference(scs_inference,[],[4333,3964,2,12,18,26,19,27,17,14,15,21])).
% 58.87/59.14  cnf(5197,plain,
% 58.87/59.14     (P2(a4,a4,f9(a4,a4))),
% 58.87/59.14     inference(scs_inference,[],[4333,3964,2,12,18,26,19,27,17,14,15,21,22])).
% 58.87/59.14  cnf(5203,plain,
% 58.87/59.14     (P2(f10(a7),a7,a4)),
% 58.87/59.14     inference(scs_inference,[],[4333,3964,2,5,10,12,18,26,19,27,17,14,15,21,22,20,76,24])).
% 58.87/59.14  cnf(5205,plain,
% 58.87/59.14     (P4(a1,a2,a2)),
% 58.87/59.14     inference(scs_inference,[],[4333,3964,2,5,55,10,12,18,26,19,27,17,14,15,21,22,20,76,24,23])).
% 58.87/59.14  cnf(5215,plain,
% 58.87/59.14     (P2(f3(a4,a4),a4,f3(a4,a4))),
% 58.87/59.14     inference(scs_inference,[],[3957,4333,3964,2,5,101,55,10,12,18,26,19,27,17,14,15,21,22,20,76,24,23,31,32,29,3724,34])).
% 58.87/59.14  cnf(5228,plain,
% 58.87/59.14     (P1(f3(a8,a8))),
% 58.87/59.14     inference(scs_inference,[],[5191,6,12,18,19,17,14])).
% 58.87/59.14  cnf(5230,plain,
% 58.87/59.14     (P1(f9(a8,a8))),
% 58.87/59.14     inference(scs_inference,[],[5191,6,12,18,19,17,14,15])).
% 58.87/59.14  cnf(5232,plain,
% 58.87/59.14     (P4(a8,a8,f3(a8,a8))),
% 58.87/59.14     inference(scs_inference,[],[5191,6,12,18,19,17,14,15,21])).
% 58.87/59.14  cnf(5240,plain,
% 58.87/59.14     (P4(f6(a4),f3(a4,a4),a4)),
% 58.87/59.14     inference(scs_inference,[],[5189,5191,5195,5185,6,62,67,12,18,19,17,14,15,21,22,23,28,29])).
% 58.87/59.14  cnf(5242,plain,
% 58.87/59.14     (P2(f3(a4,a4),a8,f3(a8,a8))),
% 58.87/59.14     inference(scs_inference,[],[5189,5191,5195,5185,6,62,389,67,12,18,19,17,14,15,21,22,23,28,29,34])).
% 58.87/59.14  cnf(5259,plain,
% 58.87/59.14     (P1(f3(a2,a2))),
% 58.87/59.14     inference(scs_inference,[],[5228,3,12,18,19,17,21,14])).
% 58.87/59.14  cnf(5267,plain,
% 58.87/59.14     (P4(f3(a8,a8),a1,f3(a8,a8))),
% 58.87/59.14     inference(scs_inference,[],[5228,5232,3,72,2663,12,18,19,17,21,14,15,22,23,30])).
% 58.87/59.14  cnf(5273,plain,
% 58.87/59.14     (P4(f6(a4),f3(a4,a4),f9(a4,a4))),
% 58.87/59.14     inference(scs_inference,[],[5228,5240,5242,5232,5205,5215,5197,3984,3,72,2663,287,12,18,19,17,21,14,15,22,23,30,32,29,33])).
% 58.87/59.14  cnf(5297,plain,
% 58.87/59.14     (P1(f3(a5,a5))),
% 58.87/59.14     inference(scs_inference,[],[5259,5230,4,12,18,19,17,15,21,14])).
% 58.87/59.14  cnf(5324,plain,
% 58.87/59.14     (P4(a1,f3(a5,a5),f3(a5,a5))),
% 58.87/59.14     inference(scs_inference,[],[5297,1,12,19,18,17])).
% 58.87/59.14  cnf(5328,plain,
% 58.87/59.14     (P1(f9(a1,a1))),
% 58.87/59.14     inference(scs_inference,[],[5297,1,12,19,18,17,14,15])).
% 58.87/59.14  cnf(5330,plain,
% 58.87/59.14     (P4(a1,a1,f3(a1,a1))),
% 58.87/59.14     inference(scs_inference,[],[5297,1,12,19,18,17,14,15,21])).
% 58.87/59.14  cnf(5332,plain,
% 58.87/59.14     (P2(a1,a1,f9(a1,a1))),
% 58.87/59.14     inference(scs_inference,[],[5297,1,12,19,18,17,14,15,21,22])).
% 58.87/59.14  cnf(5433,plain,
% 58.87/59.14     (~P2(f10(a7),a1,x54331)+~P2(x54331,a7,a7)),
% 58.87/59.14     inference(scs_inference,[],[5324,5328,5185,5203,5197,3984,3964,39,18,17,34,26,4058,28,27])).
% 58.87/59.14  cnf(5491,plain,
% 58.87/59.14     (P2(a4,a2,a2)),
% 58.87/59.14     inference(scs_inference,[],[3,18])).
% 58.87/59.14  cnf(5506,plain,
% 58.87/59.14     (P2(a4,a5,a5)),
% 58.87/59.14     inference(scs_inference,[],[4,18])).
% 58.87/59.14  cnf(5521,plain,
% 58.87/59.14     (P2(a4,a1,a1)),
% 58.87/59.14     inference(scs_inference,[],[1,18])).
% 58.87/59.14  cnf(5549,plain,
% 58.87/59.14     (~P4(f9(a1,a1),a1,a7)),
% 58.87/59.14     inference(scs_inference,[],[5521,5491,5267,5187,5273,5189,5203,5332,5185,5330,3957,5195,5,18,4058,31,30,29,5433,32,34])).
% 58.87/59.14  cnf(5559,plain,
% 58.87/59.14     ($false),
% 58.87/59.14     inference(scs_inference,[],[5549,5506,3954,5203,3873,26,31]),
% 58.87/59.14     ['proof']).
% 58.87/59.14  % SZS output end Proof
% 58.87/59.14  % Total time :58.390000s
%------------------------------------------------------------------------------