TSTP Solution File: MGT062-1 by CSE---1.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE---1.6
% Problem  : MGT062-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d

% 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 : Thu Aug 31 09:07:08 EDT 2023

% Result   : Unsatisfiable 8.51s 8.63s
% Output   : CNFRefutation 8.51s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem    : MGT062-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.10  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.10/0.29  % Computer : n032.cluster.edu
% 0.10/0.29  % Model    : x86_64 x86_64
% 0.10/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29  % Memory   : 8042.1875MB
% 0.10/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29  % CPULimit   : 300
% 0.10/0.29  % WCLimit    : 300
% 0.10/0.29  % DateTime   : Mon Aug 28 06:32:45 EDT 2023
% 0.10/0.29  % CPUTime    : 
% 0.15/0.46  start to proof:theBenchmark
% 8.51/8.62  %-------------------------------------------
% 8.51/8.62  % File        :CSE---1.6
% 8.51/8.62  % Problem     :theBenchmark
% 8.51/8.62  % Transform   :cnf
% 8.51/8.62  % Format      :tptp:raw
% 8.51/8.62  % Command     :java -jar mcs_scs.jar %d %s
% 8.51/8.62  
% 8.51/8.62  % Result      :Theorem 8.120000s
% 8.51/8.62  % Output      :CNFRefutation 8.120000s
% 8.51/8.62  %-------------------------------------------
% 8.51/8.63  %--------------------------------------------------------------------------
% 8.51/8.63  % File     : MGT062-1 : TPTP v8.1.2. Released v2.4.0.
% 8.51/8.63  % Domain   : Management (Organisation Theory)
% 8.51/8.63  % Problem  : Condictions for decreasing hazard of mortality
% 8.51/8.63  % Version  : [Han98] axioms.
% 8.51/8.63  % English  : If environmental drift destroys alignment exactly when advantage
% 8.51/8.63  %            can be gained from occupancy of a robust position, then the
% 8.51/8.63  %            hazard of mortality for an unendowed organization with a robust
% 8.51/8.63  %            position decreases with age.
% 8.51/8.63  
% 8.51/8.63  % Refs     : [Kam00] Kamps (2000), Email to G. Sutcliffe
% 8.51/8.63  %          : [CH00]  Carroll & Hannan (2000), The Demography of Corporation
% 8.51/8.63  %          : [Han98] Hannan (1998), Rethinking Age Dependence in Organizati
% 8.51/8.63  % Source   : [TPTP]
% 8.51/8.63  % Names    :
% 8.51/8.63  
% 8.51/8.63  % Status   : Unsatisfiable
% 8.51/8.63  % Rating   : 0.14 v8.1.0, 0.05 v7.5.0, 0.11 v7.4.0, 0.18 v7.3.0, 0.08 v7.1.0, 0.00 v7.0.0, 0.07 v6.4.0, 0.00 v6.1.0, 0.14 v6.0.0, 0.10 v5.5.0, 0.30 v5.4.0, 0.35 v5.3.0, 0.33 v5.2.0, 0.25 v5.1.0, 0.35 v5.0.0, 0.21 v4.1.0, 0.23 v4.0.1, 0.18 v4.0.0, 0.09 v3.7.0, 0.00 v3.3.0, 0.14 v3.2.0, 0.31 v3.1.0, 0.18 v2.7.0, 0.17 v2.6.0, 0.00 v2.5.0, 0.44 v2.4.0
% 8.51/8.63  % Syntax   : Number of clauses     :   44 (  10 unt;  16 nHn;  36 RR)
% 8.51/8.63  %            Number of literals    :  117 (  16 equ;  55 neg)
% 8.51/8.63  %            Maximal clause size   :    5 (   2 avg)
% 8.51/8.63  %            Maximal term depth    :    3 (   1 avg)
% 8.51/8.63  %            Number of predicates  :   12 (  11 usr;   0 prp; 1-3 aty)
% 8.51/8.63  %            Number of functors    :   15 (  15 usr;  12 con; 0-2 aty)
% 8.51/8.63  %            Number of variables   :   72 (   5 sgn)
% 8.51/8.63  % SPC      : CNF_UNS_RFO_SEQ_NHN
% 8.51/8.63  
% 8.51/8.63  % Comments : See MGT042+1.p for the mnemonic names.
% 8.51/8.63  %          : Created with tptp2X -f tptp -t clausify:otter MGT062+1.p
% 8.51/8.63  %--------------------------------------------------------------------------
% 8.51/8.63  include('Axioms/MGT001-0.ax').
% 8.51/8.63  %--------------------------------------------------------------------------
% 8.51/8.63  cnf(assumption_1_39,axiom,
% 8.51/8.63      ( ~ organization(A)
% 8.51/8.63      | has_endowment(A)
% 8.51/8.63      | ~ has_immunity(A,B) ) ).
% 8.51/8.63  
% 8.51/8.63  cnf(definition_2_40,axiom,
% 8.51/8.63      ( ~ dissimilar(A,B,C)
% 8.51/8.63      | organization(A) ) ).
% 8.51/8.63  
% 8.51/8.63  cnf(definition_2_41,axiom,
% 8.51/8.63      ( ~ dissimilar(A,B,C)
% 8.51/8.63      | is_aligned(A,B)
% 8.51/8.63      | is_aligned(A,C) ) ).
% 8.51/8.63  
% 8.51/8.63  cnf(definition_2_42,axiom,
% 8.51/8.63      ( ~ dissimilar(A,B,C)
% 8.51/8.63      | ~ is_aligned(A,B)
% 8.51/8.63      | ~ is_aligned(A,C) ) ).
% 8.51/8.63  
% 8.51/8.63  cnf(definition_2_43,axiom,
% 8.51/8.63      ( ~ organization(A)
% 8.51/8.63      | ~ is_aligned(A,B)
% 8.51/8.63      | is_aligned(A,B)
% 8.51/8.63      | dissimilar(A,B,C) ) ).
% 8.51/8.63  
% 8.51/8.63  cnf(definition_2_44,axiom,
% 8.51/8.63      ( ~ organization(A)
% 8.51/8.63      | ~ is_aligned(A,B)
% 8.51/8.63      | is_aligned(A,C)
% 8.51/8.63      | dissimilar(A,B,C) ) ).
% 8.51/8.63  
% 8.51/8.63  cnf(definition_2_45,axiom,
% 8.51/8.63      ( ~ organization(A)
% 8.51/8.63      | ~ is_aligned(A,B)
% 8.51/8.63      | is_aligned(A,C)
% 8.51/8.63      | dissimilar(A,C,B) ) ).
% 8.51/8.63  
% 8.51/8.63  cnf(definition_2_46,axiom,
% 8.51/8.63      ( ~ organization(A)
% 8.51/8.63      | ~ is_aligned(A,B)
% 8.51/8.63      | is_aligned(A,B)
% 8.51/8.63      | dissimilar(A,C,B) ) ).
% 8.51/8.63  
% 8.51/8.63  cnf(assumption_13_47,axiom,
% 8.51/8.63      ( ~ organization(A)
% 8.51/8.63      | age(A,B) != zero
% 8.51/8.63      | is_aligned(A,B) ) ).
% 8.51/8.63  
% 8.51/8.63  cnf(assumption_15_48,axiom,
% 8.51/8.63      ( ~ organization(A)
% 8.51/8.63      | age(A,B) != zero
% 8.51/8.63      | ~ greater(age(A,C),sigma)
% 8.51/8.63      | dissimilar(A,B,C) ) ).
% 8.51/8.63  
% 8.51/8.63  cnf(assumption_15_49,axiom,
% 8.51/8.63      ( ~ organization(A)
% 8.51/8.63      | age(A,B) != zero
% 8.51/8.63      | ~ dissimilar(A,B,C)
% 8.51/8.63      | greater(age(A,C),sigma) ) ).
% 8.51/8.63  
% 8.51/8.63  cnf(definition_4_50,axiom,
% 8.51/8.63      ( ~ robust_position(A)
% 8.51/8.63      | ~ smaller_or_equal(age(A,B),tau)
% 8.51/8.63      | ~ positional_advantage(A,B) ) ).
% 8.51/8.63  
% 8.51/8.63  cnf(definition_4_51,axiom,
% 8.51/8.63      ( ~ robust_position(A)
% 8.51/8.63      | ~ greater(age(A,B),tau)
% 8.51/8.63      | positional_advantage(A,B) ) ).
% 8.51/8.63  
% 8.51/8.63  cnf(definition_4_52,axiom,
% 8.51/8.63      ( smaller_or_equal(age(A,sk1(A)),tau)
% 8.51/8.63      | greater(age(A,sk1(A)),tau)
% 8.51/8.63      | robust_position(A) ) ).
% 8.51/8.63  
% 8.51/8.63  cnf(definition_4_53,axiom,
% 8.51/8.63      ( smaller_or_equal(age(A,sk1(A)),tau)
% 8.51/8.63      | ~ positional_advantage(A,sk1(A))
% 8.51/8.63      | robust_position(A) ) ).
% 8.51/8.63  
% 8.51/8.63  cnf(definition_4_54,axiom,
% 8.51/8.63      ( positional_advantage(A,sk1(A))
% 8.51/8.63      | greater(age(A,sk1(A)),tau)
% 8.51/8.63      | robust_position(A) ) ).
% 8.51/8.63  
% 8.51/8.63  cnf(definition_4_55,axiom,
% 8.51/8.63      ( positional_advantage(A,sk1(A))
% 8.51/8.63      | ~ positional_advantage(A,sk1(A))
% 8.51/8.63      | robust_position(A) ) ).
% 8.51/8.63  
% 8.51/8.63  cnf(assumption_17_56,axiom,
% 8.51/8.63      ( ~ organization(A)
% 8.51/8.63      | ~ has_immunity(A,B)
% 8.51/8.63      | hazard_of_mortality(A,B) = very_low ) ).
% 8.51/8.63  
% 8.51/8.63  cnf(assumption_17_57,axiom,
% 8.51/8.63      ( ~ organization(A)
% 8.51/8.63      | has_immunity(A,B)
% 8.51/8.63      | ~ is_aligned(A,B)
% 8.51/8.63      | ~ positional_advantage(A,B)
% 8.51/8.63      | hazard_of_mortality(A,B) = low ) ).
% 8.51/8.63  
% 8.51/8.63  cnf(assumption_17_58,axiom,
% 8.51/8.63      ( ~ organization(A)
% 8.51/8.63      | has_immunity(A,B)
% 8.51/8.63      | is_aligned(A,B)
% 8.51/8.63      | ~ positional_advantage(A,B)
% 8.51/8.63      | hazard_of_mortality(A,B) = mod1 ) ).
% 8.51/8.63  
% 8.51/8.63  cnf(assumption_17_59,axiom,
% 8.51/8.63      ( ~ organization(A)
% 8.51/8.63      | has_immunity(A,B)
% 8.51/8.63      | ~ is_aligned(A,B)
% 8.51/8.63      | positional_advantage(A,B)
% 8.51/8.63      | hazard_of_mortality(A,B) = mod2 ) ).
% 8.51/8.63  
% 8.51/8.63  cnf(assumption_17_60,axiom,
% 8.51/8.63      ( ~ organization(A)
% 8.51/8.63      | has_immunity(A,B)
% 8.51/8.63      | is_aligned(A,B)
% 8.51/8.63      | positional_advantage(A,B)
% 8.51/8.63      | hazard_of_mortality(A,B) = high ) ).
% 8.51/8.63  
% 8.51/8.63  cnf(assumption_19_61,axiom,
% 8.51/8.63      greater(mod2,mod1) ).
% 8.51/8.63  
% 8.51/8.63  cnf(theorem_8_62,negated_conjecture,
% 8.51/8.63      organization(sk2) ).
% 8.51/8.63  
% 8.51/8.63  cnf(theorem_8_63,negated_conjecture,
% 8.51/8.63      robust_position(sk2) ).
% 8.51/8.63  
% 8.51/8.63  cnf(theorem_8_64,negated_conjecture,
% 8.51/8.63      ~ has_endowment(sk2) ).
% 8.51/8.63  
% 8.51/8.63  cnf(theorem_8_65,negated_conjecture,
% 8.51/8.63      age(sk2,sk3) = zero ).
% 8.51/8.63  
% 8.51/8.63  cnf(theorem_8_66,negated_conjecture,
% 8.51/8.63      greater(sigma,zero) ).
% 8.51/8.63  
% 8.51/8.63  cnf(theorem_8_67,negated_conjecture,
% 8.51/8.63      greater(tau,zero) ).
% 8.51/8.63  
% 8.51/8.63  cnf(theorem_8_68,negated_conjecture,
% 8.51/8.63      sigma = tau ).
% 8.51/8.63  
% 8.51/8.63  cnf(theorem_8_69,negated_conjecture,
% 8.51/8.63      smaller_or_equal(age(sk2,sk4),sigma) ).
% 8.51/8.63  
% 8.51/8.63  cnf(theorem_8_70,negated_conjecture,
% 8.51/8.63      greater(age(sk2,sk5),sigma) ).
% 8.51/8.63  
% 8.51/8.63  cnf(theorem_8_71,negated_conjecture,
% 8.51/8.63      ( ~ smaller(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk4))
% 8.51/8.63      | hazard_of_mortality(sk2,sk4) != hazard_of_mortality(sk2,sk3) ) ).
% 8.51/8.63  
% 8.51/8.63  %--------------------------------------------------------------------------
% 8.51/8.63  %-------------------------------------------
% 8.51/8.63  % Proof found
% 8.51/8.63  % SZS status Theorem for theBenchmark
% 8.51/8.63  % SZS output start Proof
% 8.51/8.63  %ClaNum:69(EqnAxiom:28)
% 8.51/8.63  %VarNum:177(SingletonVarNum:65)
% 8.51/8.63  %MaxLitNum:5
% 8.51/8.63  %MaxfuncDepth:2
% 8.51/8.63  %SharedTerms:30
% 8.51/8.63  %goalClause: 29 30 31 32 33 34 36 37 38 66
% 8.51/8.63  %singleGoalClaCount:9
% 8.51/8.63  [29]E(a1,a2)
% 8.51/8.63  [30]P1(a9)
% 8.51/8.63  [31]P8(a9)
% 8.51/8.63  [33]P2(a2,a14)
% 8.51/8.63  [34]P2(a1,a14)
% 8.51/8.63  [35]P2(a4,a5)
% 8.51/8.63  [38]~P4(a9)
% 8.51/8.63  [32]E(f3(a9,a11),a14)
% 8.51/8.63  [36]P10(f3(a9,a12),a2)
% 8.51/8.63  [37]P2(f3(a9,a13),a2)
% 8.51/8.63  [66]~P11(f6(a9,a13),f6(a9,a12))+~E(f6(a9,a12),f6(a9,a11))
% 8.51/8.63  [39]~E(x391,x392)+P10(x391,x392)
% 8.51/8.63  [40]~E(x401,x402)+P5(x401,x402)
% 8.51/8.63  [43]~P11(x431,x432)+P10(x431,x432)
% 8.51/8.63  [44]~P2(x442,x441)+P11(x441,x442)
% 8.51/8.63  [45]~P2(x451,x452)+P5(x451,x452)
% 8.51/8.63  [46]~P11(x462,x461)+P2(x461,x462)
% 8.51/8.63  [51]~P2(x512,x511)+~P2(x511,x512)
% 8.51/8.63  [60]P1(x601)+~P3(x601,x602,x603)
% 8.51/8.63  [56]P8(x561)+P9(x561,f10(x561))+P2(f3(x561,f10(x561)),a1)
% 8.51/8.63  [59]P8(x591)+~P9(x591,f10(x591))+P10(f3(x591,f10(x591)),a1)
% 8.51/8.63  [64]P8(x641)+P10(f3(x641,f10(x641)),a1)+P2(f3(x641,f10(x641)),a1)
% 8.51/8.63  [41]P11(x411,x412)+P2(x411,x412)+E(x411,x412)
% 8.51/8.63  [42]~P1(x421)+P4(x421)+~P6(x421,x422)
% 8.51/8.63  [47]P11(x471,x472)+~P10(x471,x472)+E(x471,x472)
% 8.51/8.63  [48]P2(x481,x482)+~P5(x481,x482)+E(x481,x482)
% 8.51/8.63  [49]~P1(x491)+~P6(x491,x492)+E(f6(x491,x492),a15)
% 8.51/8.63  [50]~P1(x501)+P7(x501,x502)+~E(f3(x501,x502),a14)
% 8.51/8.63  [58]~P8(x581)+P9(x581,x582)+~P2(f3(x581,x582),a1)
% 8.51/8.63  [61]~P8(x611)+~P9(x611,x612)+~P10(f3(x611,x612),a1)
% 8.51/8.63  [52]~P2(x521,x523)+P2(x521,x522)+~P2(x523,x522)
% 8.51/8.63  [65]~P3(x651,x653,x652)+P7(x651,x652)+P7(x651,x653)
% 8.51/8.63  [67]~P3(x671,x673,x672)+~P7(x671,x672)+~P7(x671,x673)
% 8.51/8.63  [62]~P1(x621)+~P7(x621,x623)+P7(x621,x622)+P3(x621,x622,x623)
% 8.51/8.63  [63]~P1(x631)+~P7(x631,x633)+P7(x631,x632)+P3(x631,x633,x632)
% 8.51/8.63  [68]~P1(x681)+P3(x681,x682,x683)+~E(f3(x681,x682),a14)+~P2(f3(x681,x683),a2)
% 8.51/8.63  [69]~P1(x691)+~P3(x691,x693,x692)+P2(f3(x691,x692),a2)+~E(f3(x691,x693),a14)
% 8.51/8.63  [53]P6(x531,x532)+P7(x531,x532)+P9(x531,x532)+~P1(x531)+E(f6(x531,x532),a7)
% 8.51/8.63  [54]P6(x541,x542)+P7(x541,x542)+~P1(x541)+~P9(x541,x542)+E(f6(x541,x542),a5)
% 8.51/8.63  [55]P6(x551,x552)+P9(x551,x552)+~P1(x551)+~P7(x551,x552)+E(f6(x551,x552),a4)
% 8.51/8.63  [57]P6(x571,x572)+~P1(x571)+~P7(x571,x572)+~P9(x571,x572)+E(f6(x571,x572),a8)
% 8.51/8.63  %EqnAxiom
% 8.51/8.63  [1]E(x11,x11)
% 8.51/8.63  [2]E(x22,x21)+~E(x21,x22)
% 8.51/8.63  [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 8.51/8.63  [4]~E(x41,x42)+E(f3(x41,x43),f3(x42,x43))
% 8.51/8.63  [5]~E(x51,x52)+E(f3(x53,x51),f3(x53,x52))
% 8.51/8.63  [6]~E(x61,x62)+E(f6(x61,x63),f6(x62,x63))
% 8.51/8.63  [7]~E(x71,x72)+E(f6(x73,x71),f6(x73,x72))
% 8.51/8.63  [8]~E(x81,x82)+E(f10(x81),f10(x82))
% 8.51/8.63  [9]~P1(x91)+P1(x92)+~E(x91,x92)
% 8.51/8.63  [10]~P8(x101)+P8(x102)+~E(x101,x102)
% 8.51/8.63  [11]P2(x112,x113)+~E(x111,x112)+~P2(x111,x113)
% 8.51/8.63  [12]P2(x123,x122)+~E(x121,x122)+~P2(x123,x121)
% 8.51/8.63  [13]P7(x132,x133)+~E(x131,x132)+~P7(x131,x133)
% 8.51/8.63  [14]P7(x143,x142)+~E(x141,x142)+~P7(x143,x141)
% 8.51/8.63  [15]P3(x152,x153,x154)+~E(x151,x152)+~P3(x151,x153,x154)
% 8.51/8.63  [16]P3(x163,x162,x164)+~E(x161,x162)+~P3(x163,x161,x164)
% 8.51/8.63  [17]P3(x173,x174,x172)+~E(x171,x172)+~P3(x173,x174,x171)
% 8.51/8.63  [18]P10(x182,x183)+~E(x181,x182)+~P10(x181,x183)
% 8.51/8.63  [19]P10(x193,x192)+~E(x191,x192)+~P10(x193,x191)
% 8.51/8.63  [20]P9(x202,x203)+~E(x201,x202)+~P9(x201,x203)
% 8.51/8.63  [21]P9(x213,x212)+~E(x211,x212)+~P9(x213,x211)
% 8.51/8.63  [22]~P4(x221)+P4(x222)+~E(x221,x222)
% 8.51/8.63  [23]P6(x232,x233)+~E(x231,x232)+~P6(x231,x233)
% 8.51/8.63  [24]P6(x243,x242)+~E(x241,x242)+~P6(x243,x241)
% 8.51/8.63  [25]P5(x252,x253)+~E(x251,x252)+~P5(x251,x253)
% 8.51/8.63  [26]P5(x263,x262)+~E(x261,x262)+~P5(x263,x261)
% 8.51/8.63  [27]P11(x272,x273)+~E(x271,x272)+~P11(x271,x273)
% 8.51/8.63  [28]P11(x283,x282)+~E(x281,x282)+~P11(x283,x281)
% 8.51/8.64  
% 8.51/8.64  %-------------------------------------------
% 8.51/8.64  cnf(70,plain,
% 8.51/8.64     (E(a2,a1)),
% 8.51/8.64     inference(scs_inference,[],[29,2])).
% 8.51/8.64  cnf(71,plain,
% 8.51/8.64     (~P2(a14,a2)),
% 8.51/8.64     inference(scs_inference,[],[29,33,2,51])).
% 8.51/8.64  cnf(76,plain,
% 8.51/8.64     (P2(f3(a9,a13),a1)),
% 8.51/8.64     inference(scs_inference,[],[29,33,36,37,2,51,46,19,12])).
% 8.51/8.64  cnf(78,plain,
% 8.51/8.64     (~E(f3(a9,a13),f3(a9,a11))),
% 8.51/8.64     inference(scs_inference,[],[29,33,32,36,37,2,51,46,19,12,11,3])).
% 8.51/8.64  cnf(81,plain,
% 8.51/8.64     (~P6(a9,x811)),
% 8.51/8.64     inference(scs_inference,[],[29,30,33,38,32,36,37,2,51,46,19,12,11,3,52,42])).
% 8.51/8.64  cnf(83,plain,
% 8.51/8.64     (~P9(a9,a12)),
% 8.51/8.64     inference(scs_inference,[],[29,30,31,33,38,32,36,37,2,51,46,19,12,11,3,52,42,61])).
% 8.51/8.64  cnf(85,plain,
% 8.51/8.64     (P9(a9,a13)),
% 8.51/8.64     inference(scs_inference,[],[29,30,31,33,38,32,36,37,2,51,46,19,12,11,3,52,42,61,58])).
% 8.51/8.64  cnf(87,plain,
% 8.51/8.64     (P7(a9,a11)),
% 8.51/8.64     inference(scs_inference,[],[29,30,31,33,38,32,36,37,2,51,46,19,12,11,3,52,42,61,58,50])).
% 8.51/8.64  cnf(89,plain,
% 8.51/8.64     (P3(a9,a11,a13)),
% 8.51/8.64     inference(scs_inference,[],[29,30,31,33,38,32,36,37,2,51,46,19,12,11,3,52,42,61,58,50,68])).
% 8.51/8.64  cnf(91,plain,
% 8.51/8.64     (P5(a2,a14)),
% 8.51/8.64     inference(scs_inference,[],[29,30,31,33,38,32,36,37,2,51,46,19,12,11,3,52,42,61,58,50,68,45])).
% 8.51/8.64  cnf(93,plain,
% 8.51/8.64     (P11(a14,a2)),
% 8.51/8.64     inference(scs_inference,[],[29,30,31,33,38,32,36,37,2,51,46,19,12,11,3,52,42,61,58,50,68,45,44])).
% 8.51/8.64  cnf(95,plain,
% 8.51/8.64     (P10(a14,a2)),
% 8.51/8.64     inference(scs_inference,[],[29,30,31,33,38,32,36,37,2,51,46,19,12,11,3,52,42,61,58,50,68,45,44,43])).
% 8.51/8.64  cnf(97,plain,
% 8.51/8.64     (P5(a1,a2)),
% 8.51/8.64     inference(scs_inference,[],[29,30,31,33,38,32,36,37,2,51,46,19,12,11,3,52,42,61,58,50,68,45,44,43,40])).
% 8.51/8.64  cnf(101,plain,
% 8.51/8.64     (E(f10(a1),f10(a2))),
% 8.51/8.64     inference(scs_inference,[],[29,30,31,33,38,32,36,37,2,51,46,19,12,11,3,52,42,61,58,50,68,45,44,43,40,39,8])).
% 8.51/8.64  cnf(102,plain,
% 8.51/8.64     (E(f6(x1021,a1),f6(x1021,a2))),
% 8.51/8.64     inference(scs_inference,[],[29,30,31,33,38,32,36,37,2,51,46,19,12,11,3,52,42,61,58,50,68,45,44,43,40,39,8,7])).
% 8.51/8.64  cnf(103,plain,
% 8.51/8.64     (E(f6(a1,x1031),f6(a2,x1031))),
% 8.51/8.64     inference(scs_inference,[],[29,30,31,33,38,32,36,37,2,51,46,19,12,11,3,52,42,61,58,50,68,45,44,43,40,39,8,7,6])).
% 8.51/8.64  cnf(104,plain,
% 8.51/8.64     (E(f3(x1041,a1),f3(x1041,a2))),
% 8.51/8.64     inference(scs_inference,[],[29,30,31,33,38,32,36,37,2,51,46,19,12,11,3,52,42,61,58,50,68,45,44,43,40,39,8,7,6,5])).
% 8.51/8.64  cnf(105,plain,
% 8.51/8.64     (E(f3(a1,x1051),f3(a2,x1051))),
% 8.51/8.64     inference(scs_inference,[],[29,30,31,33,38,32,36,37,2,51,46,19,12,11,3,52,42,61,58,50,68,45,44,43,40,39,8,7,6,5,4])).
% 8.51/8.64  cnf(106,plain,
% 8.51/8.64     (~P11(a2,f3(a9,a11))),
% 8.51/8.64     inference(scs_inference,[],[29,30,31,33,38,32,36,37,2,51,46,19,12,11,3,52,42,61,58,50,68,45,44,43,40,39,8,7,6,5,4,28])).
% 8.51/8.64  cnf(109,plain,
% 8.51/8.64     (~E(a13,a12)),
% 8.51/8.64     inference(scs_inference,[],[29,30,31,33,38,32,36,37,2,51,46,19,12,11,3,52,42,61,58,50,68,45,44,43,40,39,8,7,6,5,4,28,27,23,21])).
% 8.51/8.64  cnf(110,plain,
% 8.51/8.64     (~P7(a9,a13)),
% 8.51/8.64     inference(scs_inference,[],[29,30,31,33,38,32,36,37,2,51,46,19,12,11,3,52,42,61,58,50,68,45,44,43,40,39,8,7,6,5,4,28,27,23,21,67])).
% 8.51/8.64  cnf(112,plain,
% 8.51/8.64     (~P3(a9,a13,a13)),
% 8.51/8.64     inference(scs_inference,[],[29,30,31,33,38,32,36,37,2,51,46,19,12,11,3,52,42,61,58,50,68,45,44,43,40,39,8,7,6,5,4,28,27,23,21,67,65])).
% 8.51/8.64  cnf(114,plain,
% 8.51/8.64     (P3(a9,a13,a11)),
% 8.51/8.64     inference(scs_inference,[],[29,30,31,33,38,32,36,37,2,51,46,19,12,11,3,52,42,61,58,50,68,45,44,43,40,39,8,7,6,5,4,28,27,23,21,67,65,62])).
% 8.51/8.64  cnf(116,plain,
% 8.51/8.64     (E(f6(a9,a13),a5)),
% 8.51/8.64     inference(scs_inference,[],[29,30,31,33,38,32,36,37,2,51,46,19,12,11,3,52,42,61,58,50,68,45,44,43,40,39,8,7,6,5,4,28,27,23,21,67,65,62,54])).
% 8.51/8.64  cnf(143,plain,
% 8.51/8.64     (~P11(f3(a9,a13),a1)),
% 8.51/8.64     inference(scs_inference,[],[34,31,78,85,51,61,2,43])).
% 8.51/8.64  cnf(147,plain,
% 8.51/8.64     (P11(a14,a1)),
% 8.51/8.64     inference(scs_inference,[],[34,31,78,70,85,93,51,61,2,43,39,28])).
% 8.51/8.64  cnf(150,plain,
% 8.51/8.64     (P5(a1,a14)),
% 8.51/8.64     inference(scs_inference,[],[29,34,31,78,106,70,85,91,93,97,51,61,2,43,39,28,27,26,25])).
% 8.51/8.64  cnf(151,plain,
% 8.51/8.64     (~E(a11,a13)),
% 8.51/8.64     inference(scs_inference,[],[29,34,31,78,106,70,85,91,93,97,112,114,51,61,2,43,39,28,27,26,25,17])).
% 8.51/8.64  cnf(152,plain,
% 8.51/8.64     (~P2(f3(a9,a12),a1)),
% 8.51/8.64     inference(scs_inference,[],[29,34,31,78,106,70,83,85,91,93,97,112,114,51,61,2,43,39,28,27,26,25,17,58])).
% 8.51/8.64  cnf(154,plain,
% 8.51/8.64     (~P2(f3(a9,a11),a2)),
% 8.51/8.64     inference(scs_inference,[],[29,34,31,78,106,70,83,85,91,93,97,112,114,51,61,2,43,39,28,27,26,25,17,58,44])).
% 8.51/8.64  cnf(156,plain,
% 8.51/8.64     (~P2(f3(a9,a11),a1)),
% 8.51/8.64     inference(scs_inference,[],[29,34,31,32,78,106,70,83,85,91,93,97,112,114,51,61,2,43,39,28,27,26,25,17,58,44,11])).
% 8.51/8.64  cnf(157,plain,
% 8.51/8.64     (~E(a13,a11)),
% 8.51/8.64     inference(scs_inference,[],[29,34,31,32,78,106,70,83,85,91,93,97,112,114,51,61,2,43,39,28,27,26,25,17,58,44,11,5])).
% 8.51/8.64  cnf(158,plain,
% 8.51/8.64     (~P10(f3(a9,a13),a2)),
% 8.51/8.64     inference(scs_inference,[],[29,34,31,32,78,106,70,83,85,91,93,97,112,114,51,61,2,43,39,28,27,26,25,17,58,44,11,5,19])).
% 8.51/8.64  cnf(159,plain,
% 8.51/8.64     (~E(f3(a9,a12),f3(a9,a13))),
% 8.51/8.64     inference(scs_inference,[],[29,34,36,31,32,78,106,70,83,85,91,93,97,112,114,51,61,2,43,39,28,27,26,25,17,58,44,11,5,19,18])).
% 8.51/8.64  cnf(160,plain,
% 8.51/8.64     (~E(a14,f3(a9,a13))),
% 8.51/8.64     inference(scs_inference,[],[29,34,36,31,32,78,106,70,83,85,91,93,97,112,114,51,61,2,43,39,28,27,26,25,17,58,44,11,5,19,18,3])).
% 8.51/8.64  cnf(164,plain,
% 8.51/8.64     (~P2(a14,f3(a9,a13))),
% 8.51/8.64     inference(scs_inference,[],[29,34,36,31,37,32,30,71,78,106,70,83,85,91,93,97,112,114,51,61,2,43,39,28,27,26,25,17,58,44,11,5,19,18,3,10,69,52])).
% 8.51/8.64  cnf(166,plain,
% 8.51/8.64     (P11(a14,f3(a9,a13))),
% 8.51/8.64     inference(scs_inference,[],[29,34,36,31,37,32,30,71,78,106,70,83,85,91,93,97,112,114,51,61,2,43,39,28,27,26,25,17,58,44,11,5,19,18,3,10,69,52,41])).
% 8.51/8.64  cnf(171,plain,
% 8.51/8.64     (~P2(f3(a9,a12),a2)),
% 8.51/8.64     inference(scs_inference,[],[29,34,36,31,37,32,30,89,71,78,106,70,83,85,91,93,97,112,114,51,61,2,43,39,28,27,26,25,17,58,44,11,5,19,18,3,10,69,52,41,21,20,15,12])).
% 8.51/8.64  cnf(181,plain,
% 8.51/8.64     (~P3(a9,a11,a12)),
% 8.51/8.64     inference(scs_inference,[],[30,32,171,69])).
% 8.51/8.64  cnf(183,plain,
% 8.51/8.64     (~P5(a14,f3(a9,a13))),
% 8.51/8.64     inference(scs_inference,[],[30,32,160,164,171,69,48])).
% 8.51/8.64  cnf(185,plain,
% 8.51/8.64     (~P2(a5,a4)),
% 8.51/8.64     inference(scs_inference,[],[30,35,32,160,164,171,69,48,51])).
% 8.51/8.64  cnf(191,plain,
% 8.51/8.64     (P11(a5,a4)),
% 8.51/8.64     inference(scs_inference,[],[30,35,70,32,160,164,166,171,69,48,51,39,43,44])).
% 8.51/8.64  cnf(193,plain,
% 8.51/8.64     (E(a14,f3(a9,a11))),
% 8.51/8.64     inference(scs_inference,[],[30,35,70,32,160,164,166,171,69,48,51,39,43,44,2])).
% 8.51/8.64  cnf(194,plain,
% 8.51/8.64     (E(f3(x1941,a2),f3(x1941,a1))),
% 8.51/8.64     inference(scs_inference,[],[30,35,70,32,160,164,166,171,69,48,51,39,43,44,2,5])).
% 8.51/8.64  cnf(195,plain,
% 8.51/8.64     (P11(f3(a9,a11),f3(a9,a13))),
% 8.51/8.64     inference(scs_inference,[],[30,35,70,32,160,164,166,171,69,48,51,39,43,44,2,5,27])).
% 8.51/8.64  cnf(197,plain,
% 8.51/8.64     (~P2(f6(a9,a13),a4)),
% 8.51/8.64     inference(scs_inference,[],[30,35,70,32,116,160,164,166,171,69,48,51,39,43,44,2,5,27,25,11])).
% 8.51/8.64  cnf(198,plain,
% 8.51/8.64     (E(f6(a1,a1),f6(a2,a2))),
% 8.51/8.64     inference(scs_inference,[],[30,35,70,32,116,102,103,160,164,166,171,69,48,51,39,43,44,2,5,27,25,11,3])).
% 8.51/8.64  cnf(202,plain,
% 8.51/8.64     (~P2(f3(a9,a11),f3(a9,a13))),
% 8.51/8.64     inference(scs_inference,[],[30,35,70,32,116,102,103,160,164,166,171,69,48,51,39,43,44,2,5,27,25,11,3,9,45])).
% 8.51/8.64  cnf(204,plain,
% 8.51/8.64     (P2(f3(a9,a13),f3(a9,a11))),
% 8.51/8.64     inference(scs_inference,[],[30,35,70,32,116,102,103,160,164,166,171,69,48,51,39,43,44,2,5,27,25,11,3,9,45,46])).
% 8.51/8.64  cnf(206,plain,
% 8.51/8.64     (P2(a1,f3(a9,a11))),
% 8.51/8.64     inference(scs_inference,[],[30,35,34,70,32,116,102,103,160,164,166,171,69,48,51,39,43,44,2,5,27,25,11,3,9,45,46,12])).
% 8.51/8.64  cnf(207,plain,
% 8.51/8.64     (P7(a9,a12)),
% 8.51/8.64     inference(scs_inference,[],[30,35,34,70,32,116,102,103,160,164,166,171,87,69,48,51,39,43,44,2,5,27,25,11,3,9,45,46,12,63])).
% 8.51/8.64  cnf(210,plain,
% 8.51/8.64     (~P6(a9,x2101)),
% 8.51/8.64     inference(rename_variables,[],[81])).
% 8.51/8.64  cnf(212,plain,
% 8.51/8.64     (E(f6(a9,a12),a4)),
% 8.51/8.64     inference(scs_inference,[],[30,35,34,70,32,116,102,103,160,164,166,171,81,210,83,87,69,48,51,39,43,44,2,5,27,25,11,3,9,45,46,12,63,57,55])).
% 8.51/8.64  cnf(222,plain,
% 8.51/8.64     (P5(a4,a5)),
% 8.51/8.64     inference(scs_inference,[],[35,45])).
% 8.51/8.64  cnf(229,plain,
% 8.51/8.64     (~P2(a2,f3(a9,a13))),
% 8.51/8.64     inference(scs_inference,[],[30,35,37,207,110,45,63,14,62,51])).
% 8.51/8.64  cnf(231,plain,
% 8.51/8.64     (~P2(f3(a9,a12),f3(a9,a13))),
% 8.51/8.64     inference(scs_inference,[],[30,35,37,152,207,76,110,45,63,14,62,51,52])).
% 8.51/8.64  cnf(233,plain,
% 8.51/8.64     (~P11(a1,f3(a9,a12))),
% 8.51/8.64     inference(scs_inference,[],[30,35,37,152,207,76,110,45,63,14,62,51,52,46])).
% 8.51/8.64  cnf(237,plain,
% 8.51/8.64     (~E(f3(a9,a13),a2)),
% 8.51/8.64     inference(scs_inference,[],[30,35,37,152,207,76,158,110,45,63,14,62,51,52,46,43,39])).
% 8.51/8.64  cnf(244,plain,
% 8.51/8.64     (E(f3(a1,a2),f3(a2,a1))),
% 8.51/8.64     inference(scs_inference,[],[30,35,37,70,152,194,207,143,206,76,105,159,158,110,29,45,63,14,62,51,52,46,43,39,44,27,2,11,3])).
% 8.51/8.64  cnf(248,plain,
% 8.51/8.64     (P11(f3(a9,a12),f3(a9,a13))),
% 8.51/8.64     inference(scs_inference,[],[30,35,37,70,152,194,207,143,206,76,105,159,158,110,29,45,63,14,62,51,52,46,43,39,44,27,2,11,3,9,41])).
% 8.51/8.64  cnf(262,plain,
% 8.51/8.64     (P11(a2,f3(a9,a13))),
% 8.51/8.64     inference(scs_inference,[],[37,248,43,44])).
% 8.51/8.64  cnf(264,plain,
% 8.51/8.64     (P2(f3(a9,a13),f3(a9,a12))),
% 8.51/8.64     inference(scs_inference,[],[37,248,43,44,46])).
% 8.51/8.64  cnf(266,plain,
% 8.51/8.64     (P10(f3(a9,a11),a14)),
% 8.51/8.64     inference(scs_inference,[],[37,32,248,43,44,46,39])).
% 8.51/8.64  cnf(268,plain,
% 8.51/8.64     (~P2(a5,f6(a9,a12))),
% 8.51/8.64     inference(scs_inference,[],[37,32,248,212,185,43,44,46,39,12])).
% 8.51/8.64  cnf(269,plain,
% 8.51/8.64     (E(a4,f6(a9,a12))),
% 8.51/8.64     inference(scs_inference,[],[37,32,248,212,185,43,44,46,39,12,2])).
% 8.51/8.64  cnf(271,plain,
% 8.51/8.64     (~P2(f6(a9,a13),f6(a9,a12))),
% 8.51/8.64     inference(scs_inference,[],[37,32,70,248,212,185,116,43,44,46,39,12,2,27,11])).
% 8.51/8.64  cnf(273,plain,
% 8.51/8.64     (E(f6(x2731,f3(a9,a11)),f6(x2731,a14))),
% 8.51/8.64     inference(scs_inference,[],[37,32,70,248,212,185,116,43,44,46,39,12,2,27,11,8,7])).
% 8.51/8.64  cnf(274,plain,
% 8.51/8.64     (E(f6(f3(a9,a11),x2741),f6(a14,x2741))),
% 8.51/8.64     inference(scs_inference,[],[37,32,70,248,212,185,116,43,44,46,39,12,2,27,11,8,7,6])).
% 8.51/8.64  cnf(275,plain,
% 8.51/8.64     (E(f3(f3(a9,a11),x2751),f3(a14,x2751))),
% 8.51/8.64     inference(scs_inference,[],[37,32,70,248,212,185,116,43,44,46,39,12,2,27,11,8,7,6,4])).
% 8.51/8.64  cnf(276,plain,
% 8.51/8.64     (P5(f3(a9,a11),a14)),
% 8.51/8.64     inference(scs_inference,[],[37,32,70,248,212,185,116,43,44,46,39,12,2,27,11,8,7,6,4,40])).
% 8.51/8.64  cnf(279,plain,
% 8.51/8.64     (P11(a5,f6(a9,a12))),
% 8.51/8.64     inference(scs_inference,[],[37,32,70,248,212,185,191,183,116,43,44,46,39,12,2,27,11,8,7,6,4,40,26,28])).
% 8.51/8.64  cnf(280,plain,
% 8.51/8.64     (P10(f3(a9,a11),f3(a9,a11))),
% 8.51/8.64     inference(scs_inference,[],[37,32,70,248,212,185,193,191,183,116,43,44,46,39,12,2,27,11,8,7,6,4,40,26,28,19])).
% 8.51/8.64  cnf(282,plain,
% 8.51/8.64     (~P5(a14,f3(a9,x2821))+P5(f6(a9,a12),a5)),
% 8.51/8.64     inference(scs_inference,[],[37,32,70,248,212,185,193,191,222,183,116,43,44,46,39,12,2,27,11,8,7,6,4,40,26,28,19,5,25])).
% 8.51/8.64  cnf(303,plain,
% 8.51/8.64     (P5(f3(a9,a11),f3(a9,a11))),
% 8.51/8.64     inference(scs_inference,[],[276,231,193,159,48,26])).
% 8.51/8.64  cnf(304,plain,
% 8.51/8.64     (~P11(f6(a9,a12),f6(a9,a13))),
% 8.51/8.64     inference(scs_inference,[],[271,276,231,193,159,48,26,46])).
% 8.51/8.64  cnf(308,plain,
% 8.51/8.64     (~E(a2,f3(a9,a13))),
% 8.51/8.64     inference(scs_inference,[],[70,32,271,276,95,237,231,193,159,48,26,46,19,5,2])).
% 8.51/8.64  cnf(335,plain,
% 8.51/8.64     (~P5(a2,f3(a9,a13))),
% 8.51/8.64     inference(scs_inference,[],[37,308,229,45,48])).
% 8.51/8.64  cnf(337,plain,
% 8.51/8.64     (P5(a1,f3(a9,a11))),
% 8.51/8.64     inference(scs_inference,[],[37,308,229,150,193,45,48,26])).
% 8.51/8.64  cnf(339,plain,
% 8.51/8.64     (P10(f6(x3391,f3(a9,a11)),f6(x3391,a14))),
% 8.51/8.64     inference(scs_inference,[],[32,37,280,273,308,229,150,193,45,48,26,18,39])).
% 8.51/8.64  cnf(341,plain,
% 8.51/8.64     (E(f6(x3411,a14),f6(x3411,f3(a9,a11)))),
% 8.51/8.64     inference(scs_inference,[],[32,37,280,273,308,229,150,193,45,48,26,18,39,2])).
% 8.51/8.64  cnf(344,plain,
% 8.51/8.64     (E(f6(f3(a9,a11),f3(a9,a11)),f6(a14,a14))),
% 8.51/8.64     inference(scs_inference,[],[32,37,304,280,303,273,274,308,229,150,269,193,45,48,26,18,39,2,25,27,3])).
% 8.51/8.64  cnf(351,plain,
% 8.51/8.64     (~P2(f6(a9,a13),f6(a9,a11))+P9(a9,a11)),
% 8.51/8.64     inference(scs_inference,[],[32,37,304,280,303,197,273,274,308,229,150,269,81,193,87,30,45,48,26,18,39,2,25,27,3,282,55,12])).
% 8.51/8.64  cnf(366,plain,
% 8.51/8.64     (~P11(f6(a9,a12),a5)),
% 8.51/8.64     inference(scs_inference,[],[32,266,268,18,46])).
% 8.51/8.64  cnf(369,plain,
% 8.51/8.64     (P11(f3(a9,a11),a1)),
% 8.51/8.64     inference(scs_inference,[],[32,266,335,268,147,193,29,18,46,25,27])).
% 8.51/8.64  cnf(395,plain,
% 8.51/8.64     (E(f3(x3951,f6(a1,a1)),f3(x3951,f6(a2,a2)))),
% 8.51/8.64     inference(scs_inference,[],[198,5])).
% 8.51/8.64  cnf(396,plain,
% 8.51/8.64     (E(f6(x3961,a2),f6(x3961,a1))),
% 8.51/8.64     inference(scs_inference,[],[70,198,5,7])).
% 8.51/8.64  cnf(397,plain,
% 8.51/8.64     (P5(f6(x3971,a14),f6(x3971,f3(a9,a11)))),
% 8.51/8.64     inference(scs_inference,[],[70,341,198,5,7,40])).
% 8.51/8.64  cnf(399,plain,
% 8.51/8.64     (E(f10(a2),f10(a1))),
% 8.51/8.64     inference(scs_inference,[],[70,341,198,5,7,40,8])).
% 8.51/8.64  cnf(400,plain,
% 8.51/8.64     (E(f6(a2,x4001),f6(a1,x4001))),
% 8.51/8.64     inference(scs_inference,[],[70,341,198,5,7,40,8,6])).
% 8.51/8.64  cnf(401,plain,
% 8.51/8.64     (E(f3(a2,x4011),f3(a1,x4011))),
% 8.51/8.64     inference(scs_inference,[],[70,341,198,5,7,40,8,6,4])).
% 8.51/8.64  cnf(403,plain,
% 8.51/8.64     (P10(f3(a9,a11),a1)),
% 8.51/8.64     inference(scs_inference,[],[70,341,198,369,5,7,40,8,6,4,10,43])).
% 8.51/8.64  cnf(405,plain,
% 8.51/8.64     (P10(f6(x4051,f3(a9,a11)),f6(x4051,f3(a9,a11)))),
% 8.51/8.64     inference(scs_inference,[],[70,339,341,198,369,5,7,40,8,6,4,10,43,19])).
% 8.51/8.64  cnf(431,plain,
% 8.51/8.64     (P10(f3(x4311,f6(a1,a1)),f3(x4311,f6(a2,a2)))),
% 8.51/8.64     inference(scs_inference,[],[395,39])).
% 8.51/8.64  cnf(433,plain,
% 8.51/8.64     (P5(f6(a2,a14),f6(a1,f3(a9,a11)))),
% 8.51/8.64     inference(scs_inference,[],[395,397,400,39,26])).
% 8.51/8.64  cnf(434,plain,
% 8.51/8.64     (E(f6(a2,x4341),f6(a1,x4341))),
% 8.51/8.64     inference(rename_variables,[],[400])).
% 8.51/8.64  cnf(439,plain,
% 8.51/8.64     (~P9(a9,a11)),
% 8.51/8.64     inference(scs_inference,[],[405,395,397,400,434,403,31,39,26,18,61])).
% 8.51/8.64  cnf(441,plain,
% 8.51/8.64     (E(f6(a9,a11),a4)),
% 8.51/8.64     inference(scs_inference,[],[405,395,397,400,434,403,81,87,31,30,39,26,18,61,55])).
% 8.51/8.64  cnf(445,plain,
% 8.51/8.64     (~P11(f3(a9,a13),f3(a9,a11))),
% 8.51/8.64     inference(scs_inference,[],[70,405,395,397,400,434,403,202,81,87,31,30,39,26,18,61,55,21,46])).
% 8.51/8.64  cnf(463,plain,
% 8.51/8.64     (~P2(f6(a9,a13),f6(a9,a11))),
% 8.51/8.64     inference(scs_inference,[],[439,351])).
% 8.51/8.64  cnf(476,plain,
% 8.51/8.64     (E(f3(x4761,f6(a9,a11)),f3(x4761,a4))),
% 8.51/8.64     inference(scs_inference,[],[445,441,78,193,47,19,5])).
% 8.51/8.64  cnf(477,plain,
% 8.51/8.64     (~P11(f3(a9,a13),a14)),
% 8.51/8.64     inference(scs_inference,[],[445,441,78,193,47,19,5,28])).
% 8.51/8.64  cnf(478,plain,
% 8.51/8.64     (~P2(a5,f6(a9,a11))),
% 8.51/8.64     inference(scs_inference,[],[445,441,185,78,193,47,19,5,28,12])).
% 8.51/8.64  cnf(503,plain,
% 8.51/8.64     (E(f3(a2,x5031),f3(a1,x5031))),
% 8.51/8.64     inference(rename_variables,[],[401])).
% 8.51/8.64  cnf(506,plain,
% 8.51/8.64     (E(f3(a2,f6(a9,a11)),f3(a1,a4))),
% 8.51/8.64     inference(scs_inference,[],[463,431,476,401,503,19,46,3])).
% 8.51/8.64  cnf(507,plain,
% 8.51/8.64     (E(f3(x5071,f6(a9,a11)),f3(x5071,a4))),
% 8.51/8.64     inference(rename_variables,[],[476])).
% 8.51/8.64  cnf(512,plain,
% 8.51/8.64     (P10(f3(x5121,f6(a9,a11)),f3(x5121,a4))),
% 8.51/8.64     inference(scs_inference,[],[463,431,476,507,401,503,433,337,29,19,46,3,25,48,39])).
% 8.51/8.64  cnf(514,plain,
% 8.51/8.64     (E(f3(x5141,a4),f3(x5141,f6(a9,a11)))),
% 8.51/8.64     inference(scs_inference,[],[463,431,476,507,401,503,433,337,29,19,46,3,25,48,39,2])).
% 8.51/8.64  cnf(515,plain,
% 8.51/8.64     (P5(f6(f3(a9,a11),a14),f6(a14,a14))),
% 8.51/8.64     inference(scs_inference,[],[463,431,476,507,401,503,344,433,337,397,29,19,46,3,25,48,39,2,26])).
% 8.51/8.64  cnf(536,plain,
% 8.51/8.64     (P10(f3(x5361,f6(a9,a11)),f3(x5361,f6(a9,a11)))),
% 8.51/8.64     inference(scs_inference,[],[512,514,19])).
% 8.51/8.64  cnf(537,plain,
% 8.51/8.64     (E(f3(x5371,a4),f3(x5371,f6(a9,a11)))),
% 8.51/8.64     inference(rename_variables,[],[514])).
% 8.51/8.64  cnf(538,plain,
% 8.51/8.64     (P10(f3(a1,a4),f3(a2,a4))),
% 8.51/8.64     inference(scs_inference,[],[512,514,506,19,18])).
% 8.51/8.64  cnf(542,plain,
% 8.51/8.64     (E(f6(x5421,a2),f6(x5421,a1))),
% 8.51/8.64     inference(rename_variables,[],[396])).
% 8.51/8.64  cnf(543,plain,
% 8.51/8.64     (E(f6(f3(a9,a11),x5431),f6(a14,x5431))),
% 8.51/8.64     inference(rename_variables,[],[274])).
% 8.51/8.64  cnf(544,plain,
% 8.51/8.64     (P5(f6(a14,a14),f6(a14,a14))),
% 8.51/8.64     inference(scs_inference,[],[512,514,396,506,515,274,543,366,269,19,18,27,3,25])).
% 8.51/8.64  cnf(547,plain,
% 8.51/8.64     (P5(f3(x5471,a4),f3(x5471,f6(a9,a11)))),
% 8.51/8.64     inference(scs_inference,[],[512,514,537,396,542,506,515,274,543,366,269,19,18,27,3,25,7,40])).
% 8.51/8.64  cnf(549,plain,
% 8.51/8.64     (E(f6(f6(x5491,a2),x5492),f6(f6(x5491,a1),x5492))),
% 8.51/8.64     inference(scs_inference,[],[512,514,537,396,542,506,515,274,543,366,269,19,18,27,3,25,7,40,6])).
% 8.51/8.64  cnf(550,plain,
% 8.51/8.64     (E(f3(f6(x5501,a2),x5502),f3(f6(x5501,a1),x5502))),
% 8.51/8.64     inference(scs_inference,[],[512,514,537,396,542,506,515,274,543,366,269,19,18,27,3,25,7,40,6,4])).
% 8.51/8.64  cnf(551,plain,
% 8.51/8.64     (E(f10(f6(x5511,a2)),f10(f6(x5511,a1)))),
% 8.51/8.64     inference(scs_inference,[],[512,514,537,396,542,506,515,274,543,366,269,19,18,27,3,25,7,40,6,4,8])).
% 8.51/8.64  cnf(601,plain,
% 8.51/8.64     (P5(f6(f6(x6011,a2),x6012),f6(f6(x6011,a1),x6012))),
% 8.51/8.64     inference(scs_inference,[],[549,40])).
% 8.51/8.64  cnf(611,plain,
% 8.51/8.64     (E(f3(x6111,f10(a2)),f3(x6111,f10(a1)))),
% 8.51/8.64     inference(scs_inference,[],[70,549,399,204,397,478,40,46,26,45,14,5])).
% 8.51/8.64  cnf(641,plain,
% 8.51/8.64     (E(f3(x6411,a4),f3(x6411,f6(a9,a11)))),
% 8.51/8.64     inference(rename_variables,[],[514])).
% 8.51/8.64  cnf(644,plain,
% 8.51/8.64     (P10(f10(f6(x6441,a2)),f10(f6(x6441,a1)))),
% 8.51/8.64     inference(scs_inference,[],[551,538,514,641,19,18,39])).
% 8.51/8.64  cnf(648,plain,
% 8.51/8.64     (E(f10(f6(x6481,a1)),f10(f6(x6481,a2)))),
% 8.51/8.64     inference(scs_inference,[],[551,538,514,641,109,19,18,39,48,2])).
% 8.51/8.64  cnf(675,plain,
% 8.51/8.64     (P10(f10(f6(x6751,a2)),f10(f6(x6751,a1)))),
% 8.51/8.64     inference(rename_variables,[],[644])).
% 8.51/8.64  cnf(676,plain,
% 8.51/8.64     (P5(f6(f6(x6761,a2),a1),f6(f6(x6761,a1),a2))),
% 8.51/8.65     inference(scs_inference,[],[601,644,648,102,231,46,19,26])).
% 8.51/8.65  cnf(679,plain,
% 8.51/8.65     (P10(f10(f6(x6791,a1)),f10(f6(x6791,a1)))),
% 8.51/8.65     inference(scs_inference,[],[601,644,675,648,102,551,231,46,19,26,18])).
% 8.51/8.65  cnf(681,plain,
% 8.51/8.65     (E(f6(x6811,f3(a1,a2)),f6(x6811,f3(a2,a1)))),
% 8.51/8.65     inference(scs_inference,[],[601,644,675,648,244,102,551,231,46,19,26,18,7])).
% 8.51/8.65  cnf(682,plain,
% 8.51/8.65     (E(f6(f3(a1,a2),x6821),f6(f3(a2,a1),x6821))),
% 8.51/8.65     inference(scs_inference,[],[601,644,675,648,244,102,551,231,46,19,26,18,7,6])).
% 8.51/8.65  cnf(684,plain,
% 8.51/8.65     (E(f3(f3(a1,a2),x6841),f3(f3(a2,a1),x6841))),
% 8.51/8.65     inference(scs_inference,[],[601,644,675,648,244,102,551,231,46,19,26,18,7,6,8,4])).
% 8.51/8.65  cnf(710,plain,
% 8.51/8.65     (P5(f6(x7101,f3(a1,a2)),f6(x7101,f3(a2,a1)))),
% 8.51/8.65     inference(scs_inference,[],[681,40])).
% 8.51/8.65  cnf(713,plain,
% 8.51/8.65     (E(f6(x7131,f3(a1,a2)),f6(x7131,f3(a2,a1)))),
% 8.51/8.65     inference(rename_variables,[],[681])).
% 8.51/8.65  cnf(718,plain,
% 8.51/8.65     (P5(f6(a14,f3(a9,a11)),f6(a14,a14))),
% 8.51/8.65     inference(scs_inference,[],[681,713,682,544,601,341,40,26,3,25])).
% 8.51/8.65  cnf(739,plain,
% 8.51/8.65     (P10(f3(f3(a1,a2),f6(a9,a11)),f3(f3(a2,a1),f6(a9,a11)))),
% 8.51/8.65     inference(scs_inference,[],[684,536,19])).
% 8.51/8.65  cnf(740,plain,
% 8.51/8.65     (E(f3(f3(a1,a2),x7401),f3(f3(a2,a1),x7401))),
% 8.51/8.65     inference(rename_variables,[],[684])).
% 8.51/8.65  cnf(741,plain,
% 8.51/8.65     (P10(f3(x7411,f6(a9,a11)),f3(x7411,f6(a9,a11)))),
% 8.51/8.65     inference(rename_variables,[],[536])).
% 8.51/8.65  cnf(742,plain,
% 8.51/8.65     (P10(f3(f3(a2,a1),f6(a9,a11)),f3(f3(a1,a2),f6(a9,a11)))),
% 8.51/8.65     inference(scs_inference,[],[684,740,536,741,19,18])).
% 8.51/8.65  cnf(743,plain,
% 8.51/8.65     (E(f3(f3(a1,a2),x7431),f3(f3(a2,a1),x7431))),
% 8.51/8.65     inference(rename_variables,[],[684])).
% 8.51/8.65  cnf(746,plain,
% 8.51/8.65     (E(f3(f3(a1,a2),x7461),f3(f3(a2,a1),x7461))),
% 8.51/8.65     inference(rename_variables,[],[684])).
% 8.51/8.65  cnf(747,plain,
% 8.51/8.65     (E(f3(x7471,a1),f3(x7471,a2))),
% 8.51/8.65     inference(rename_variables,[],[104])).
% 8.51/8.65  cnf(755,plain,
% 8.51/8.65     (E(f3(x7551,f3(x7552,a1)),f3(x7551,f3(x7552,a2)))),
% 8.51/8.65     inference(scs_inference,[],[684,740,743,746,104,747,536,741,547,157,264,19,18,3,25,45,48,5])).
% 8.51/8.65  cnf(777,plain,
% 8.51/8.65     (P5(f3(x7771,f3(x7772,a1)),f3(x7771,f3(x7772,a2)))),
% 8.51/8.65     inference(scs_inference,[],[755,40])).
% 8.51/8.65  cnf(779,plain,
% 8.51/8.65     (P10(f10(f6(x7791,a1)),f10(f6(x7791,a2)))),
% 8.51/8.65     inference(scs_inference,[],[755,679,648,40,19])).
% 8.51/8.65  cnf(786,plain,
% 8.51/8.65     (P10(f3(x7861,f3(x7862,a1)),f3(x7861,f3(x7862,a2)))),
% 8.51/8.65     inference(scs_inference,[],[742,755,679,710,682,476,648,40,19,26,18,39])).
% 8.51/8.65  cnf(790,plain,
% 8.51/8.65     (E(f3(x7901,f3(x7902,a2)),f3(x7901,f3(x7902,a1)))),
% 8.51/8.65     inference(scs_inference,[],[742,755,679,710,156,682,476,648,40,19,26,18,39,48,2])).
% 8.51/8.65  cnf(808,plain,
% 8.51/8.65     (P5(f3(x8081,f3(x8082,a1)),f3(x8081,f3(x8082,a1)))),
% 8.51/8.65     inference(scs_inference,[],[777,790,26])).
% 8.51/8.65  cnf(810,plain,
% 8.51/8.65     (E(f6(x8101,f10(a1)),f6(x8101,f10(a2)))),
% 8.51/8.65     inference(scs_inference,[],[777,790,101,26,7])).
% 8.51/8.65  cnf(811,plain,
% 8.51/8.65     (E(f6(f10(a1),x8111),f6(f10(a2),x8111))),
% 8.51/8.65     inference(scs_inference,[],[777,790,101,26,7,6])).
% 8.51/8.65  cnf(812,plain,
% 8.51/8.65     (E(f3(f10(a1),x8121),f3(f10(a2),x8121))),
% 8.51/8.65     inference(scs_inference,[],[777,790,101,26,7,6,4])).
% 8.51/8.65  cnf(869,plain,
% 8.51/8.65     (P10(f3(f3(a1,a2),f6(a9,a11)),f3(f3(a2,a1),a4))),
% 8.51/8.65     inference(scs_inference,[],[739,476,19])).
% 8.51/8.65  cnf(871,plain,
% 8.51/8.65     (E(f3(x8711,f6(a1,x8712)),f3(x8711,f6(a2,x8712)))),
% 8.51/8.65     inference(scs_inference,[],[739,103,476,19,5])).
% 8.51/8.65  cnf(877,plain,
% 8.51/8.65     (E(f6(x8771,f10(a1)),f6(x8771,f10(a2)))),
% 8.51/8.65     inference(rename_variables,[],[810])).
% 8.51/8.65  cnf(879,plain,
% 8.51/8.65     (P5(f6(f6(x8791,a2),f10(a2)),f6(f6(x8791,a1),f10(a1)))),
% 8.51/8.65     inference(scs_inference,[],[739,810,877,718,154,811,103,601,476,341,19,5,48,26,3,25])).
% 8.51/8.65  cnf(903,plain,
% 8.51/8.65     (P5(f3(x9031,f6(a1,x9032)),f3(x9031,f6(a2,x9032)))),
% 8.51/8.65     inference(scs_inference,[],[871,40])).
% 8.51/8.65  cnf(905,plain,
% 8.51/8.65     (P10(f3(x9051,f6(a1,x9052)),f3(x9051,f6(a2,x9052)))),
% 8.51/8.65     inference(scs_inference,[],[871,40,39])).
% 8.51/8.65  cnf(907,plain,
% 8.51/8.65     (E(f3(x9071,f6(a2,x9072)),f3(x9071,f6(a1,x9072)))),
% 8.51/8.65     inference(scs_inference,[],[871,40,39,2])).
% 8.51/8.65  cnf(913,plain,
% 8.51/8.65     (E(f3(f10(a1),f6(a1,x9131)),f3(f10(a2),f6(a2,x9131)))),
% 8.51/8.65     inference(scs_inference,[],[871,879,808,812,275,40,39,2,48,26,3])).
% 8.51/8.65  cnf(933,plain,
% 8.51/8.65     (P10(f3(f10(a2),f6(a2,x9331)),f3(f10(a1),f6(a2,x9331)))),
% 8.51/8.65     inference(scs_inference,[],[905,913,18])).
% 8.51/8.65  cnf(939,plain,
% 8.51/8.65     (E(f6(f10(a2),x9391),f6(f10(a1),x9391))),
% 8.51/8.65     inference(scs_inference,[],[905,913,262,399,18,7,43,6])).
% 8.51/8.65  cnf(941,plain,
% 8.51/8.65     (E(f3(f10(a2),x9411),f3(f10(a1),x9411))),
% 8.51/8.65     inference(scs_inference,[],[905,913,262,399,18,7,43,6,8,4])).
% 8.51/8.65  cnf(945,plain,
% 8.51/8.65     (P5(f3(x9451,f6(a2,x9452)),f3(x9451,f6(a1,x9452)))),
% 8.51/8.65     inference(scs_inference,[],[869,905,907,913,262,399,18,7,43,6,8,4,47,22,40])).
% 8.51/8.65  cnf(963,plain,
% 8.51/8.65     (P5(f3(x9631,f6(a1,x9632)),f3(x9631,f6(a2,x9632)))),
% 8.51/8.65     inference(rename_variables,[],[903])).
% 8.51/8.65  cnf(964,plain,
% 8.51/8.65     (E(f3(f10(a2),x9641),f3(f10(a1),x9641))),
% 8.51/8.65     inference(rename_variables,[],[941])).
% 8.51/8.65  cnf(965,plain,
% 8.51/8.65     (P5(f3(f10(a1),f6(a1,x9651)),f3(f10(a2),f6(a2,x9651)))),
% 8.51/8.65     inference(scs_inference,[],[903,963,941,964,26,25])).
% 8.51/8.65  cnf(967,plain,
% 8.51/8.65     (E(f3(f10(a2),x9671),f3(f10(a1),x9671))),
% 8.51/8.65     inference(rename_variables,[],[941])).
% 8.51/8.65  cnf(972,plain,
% 8.51/8.65     (P10(f3(f10(a2),f6(a2,x9721)),f3(f10(a2),f6(a2,x9721)))),
% 8.51/8.65     inference(scs_inference,[],[903,963,941,964,967,933,812,109,26,25,18,47,19])).
% 8.51/8.65  cnf(992,plain,
% 8.51/8.65     (P5(f6(f10(a1),f3(a1,a2)),f6(f10(a2),f3(a2,a1)))),
% 8.51/8.65     inference(scs_inference,[],[939,611,710,941,3,25])).
% 8.51/8.65  cnf(993,plain,
% 8.51/8.65     (E(f6(f10(a2),x9931),f6(f10(a1),x9931))),
% 8.51/8.65     inference(rename_variables,[],[939])).
% 8.51/8.65  cnf(994,plain,
% 8.51/8.65     (P5(f6(x9941,f3(a1,a2)),f6(x9941,f3(a2,a1)))),
% 8.51/8.65     inference(rename_variables,[],[710])).
% 8.51/8.65  cnf(998,plain,
% 8.51/8.65     (E(f3(x9981,f3(a2,x9982)),f3(x9981,f3(a1,x9982)))),
% 8.51/8.65     inference(scs_inference,[],[939,993,611,710,994,941,401,3,25,26,5])).
% 8.51/8.65  cnf(1016,plain,
% 8.51/8.65     (E(f3(a1,f3(a2,x10161)),f3(a2,f3(a1,x10161)))),
% 8.51/8.65     inference(scs_inference,[],[998,105,3])).
% 8.51/8.65  cnf(1017,plain,
% 8.51/8.65     (E(f3(x10171,f3(a2,x10172)),f3(x10171,f3(a1,x10172)))),
% 8.51/8.65     inference(rename_variables,[],[998])).
% 8.51/8.65  cnf(1019,plain,
% 8.51/8.65     (P10(f3(x10191,f3(a2,x10192)),f3(x10191,f3(a1,x10192)))),
% 8.51/8.65     inference(scs_inference,[],[998,1017,105,3,39])).
% 8.51/8.65  cnf(1021,plain,
% 8.51/8.65     (E(f3(x10211,f3(a1,x10212)),f3(x10211,f3(a2,x10212)))),
% 8.51/8.65     inference(scs_inference,[],[998,1017,105,3,39,2])).
% 8.51/8.65  cnf(1043,plain,
% 8.51/8.65     (P10(f3(x10431,f3(a2,a1)),f3(x10431,f3(a1,a2)))),
% 8.51/8.65     inference(scs_inference,[],[1021,786,18])).
% 8.51/8.65  cnf(1044,plain,
% 8.51/8.65     (E(f3(x10441,f3(a1,x10442)),f3(x10441,f3(a2,x10442)))),
% 8.51/8.65     inference(rename_variables,[],[1021])).
% 8.51/8.65  cnf(1046,plain,
% 8.51/8.65     (E(f6(x10461,f3(x10462,a2)),f6(x10461,f3(x10462,a1)))),
% 8.51/8.65     inference(scs_inference,[],[1021,786,194,18,7])).
% 8.51/8.65  cnf(1049,plain,
% 8.51/8.65     (E(f6(f3(x10491,a2),x10492),f6(f3(x10491,a1),x10492))),
% 8.51/8.65     inference(scs_inference,[],[1021,786,194,195,18,7,43,6])).
% 8.51/8.65  cnf(1050,plain,
% 8.51/8.65     (E(f3(f3(x10501,a2),x10502),f3(f3(x10501,a1),x10502))),
% 8.51/8.65     inference(scs_inference,[],[1021,786,194,195,18,7,43,6,4])).
% 8.51/8.65  cnf(1052,plain,
% 8.51/8.65     (P5(f3(x10521,f3(a1,x10522)),f3(x10521,f3(a2,x10522)))),
% 8.51/8.65     inference(scs_inference,[],[1021,1044,786,194,195,18,7,43,6,4,8,40])).
% 8.51/8.65  cnf(1056,plain,
% 8.51/8.65     (P10(f3(x10561,f3(a2,x10562)),f3(x10561,f3(a2,x10562)))),
% 8.51/8.65     inference(scs_inference,[],[1019,1021,1044,786,194,195,151,18,7,43,6,4,8,40,47,19])).
% 8.51/8.65  cnf(1072,plain,
% 8.51/8.65     (P10(f3(f3(x10721,a1),f3(a2,x10722)),f3(f3(x10721,a2),f3(a2,x10722)))),
% 8.51/8.65     inference(scs_inference,[],[1056,1050,18])).
% 8.51/8.65  cnf(1074,plain,
% 8.51/8.65     (E(f3(f3(x10741,a2),x10742),f3(f3(x10741,a1),x10742))),
% 8.51/8.65     inference(rename_variables,[],[1050])).
% 8.51/8.65  cnf(1076,plain,
% 8.51/8.65     (E(f6(x10761,f3(x10762,a2)),f6(x10761,f3(x10762,a1)))),
% 8.51/8.65     inference(rename_variables,[],[1046])).
% 8.51/8.65  cnf(1080,plain,
% 8.51/8.65     (P5(f3(f3(x10801,a2),f3(a1,x10802)),f3(f3(x10801,a1),f3(a2,x10802)))),
% 8.51/8.65     inference(scs_inference,[],[1056,1043,1046,1049,1050,1074,1052,18,3,47,26])).
% 8.51/8.65  cnf(1083,plain,
% 8.51/8.65     (P5(f6(f10(a1),f3(a1,a1)),f6(f10(a2),f3(a2,a1)))),
% 8.51/8.65     inference(scs_inference,[],[1056,1043,1046,1076,1049,1050,1074,1052,992,18,3,47,26,25])).
% 8.51/8.65  cnf(1104,plain,
% 8.51/8.65     (E(f3(x11041,f3(a2,x11042)),f3(x11041,f3(a1,x11042)))),
% 8.51/8.65     inference(rename_variables,[],[998])).
% 8.51/8.65  cnf(1105,plain,
% 8.51/8.65     (E(f3(f3(x11051,a2),f3(a2,x11052)),f3(f3(x11051,a1),f3(a1,x11052)))),
% 8.51/8.65     inference(scs_inference,[],[1072,998,1104,1050,19,3])).
% 8.51/8.65  cnf(1108,plain,
% 8.51/8.65     (E(f3(x11081,f6(x11082,a2)),f3(x11081,f6(x11082,a1)))),
% 8.51/8.65     inference(scs_inference,[],[1072,998,1104,1050,396,19,3,5])).
% 8.51/8.65  cnf(1111,plain,
% 8.51/8.65     (P5(f3(a1,f3(a1,x11111)),f3(a2,f3(a1,x11111)))),
% 8.51/8.65     inference(scs_inference,[],[1072,1016,998,1104,1050,1052,396,304,19,3,5,47,26])).
% 8.51/8.65  cnf(1135,plain,
% 8.51/8.65     (E(f3(x11351,f6(x11352,a1)),f3(x11351,f6(x11352,a2)))),
% 8.51/8.65     inference(scs_inference,[],[1108,2])).
% 8.51/8.65  cnf(1139,plain,
% 8.51/8.65     (P10(f3(x11391,f6(x11392,a2)),f3(x11391,f6(x11392,a1)))),
% 8.51/8.65     inference(scs_inference,[],[1108,1080,1021,2,25,39])).
% 8.51/8.65  cnf(1165,plain,
% 8.51/8.65     (E(f3(x11651,f6(x11652,a1)),f3(x11651,f6(x11652,a2)))),
% 8.51/8.65     inference(rename_variables,[],[1135])).
% 8.51/8.65  cnf(1166,plain,
% 8.51/8.65     (P10(f3(f3(x11661,a1),f3(a1,x11662)),f3(f3(x11661,a2),f3(a2,x11662)))),
% 8.51/8.65     inference(scs_inference,[],[1135,1139,1105,1056,19,18])).
% 8.51/8.65  cnf(1169,plain,
% 8.51/8.65     (P5(f3(f10(a1),f6(a1,a2)),f3(f10(a2),f6(a2,a1)))),
% 8.51/8.65     inference(scs_inference,[],[1135,1165,1139,1105,965,1056,19,18,25])).
% 8.51/8.65  cnf(1170,plain,
% 8.51/8.65     (E(f3(x11701,f6(x11702,a1)),f3(x11701,f6(x11702,a2)))),
% 8.51/8.65     inference(rename_variables,[],[1135])).
% 8.51/8.65  cnf(1172,plain,
% 8.51/8.65     (E(f3(f10(a1),f6(a1,a1)),f3(f10(a2),f6(a2,a2)))),
% 8.51/8.65     inference(scs_inference,[],[1135,1165,1170,1139,1105,965,1056,913,19,18,25,3])).
% 8.51/8.65  cnf(1177,plain,
% 8.51/8.65     (E(f6(x11771,f6(a2,x11772)),f6(x11771,f6(a1,x11772)))),
% 8.51/8.65     inference(scs_inference,[],[1135,1165,1170,1139,1105,965,1056,913,400,191,19,18,25,3,43,7])).
% 8.51/8.65  cnf(1178,plain,
% 8.51/8.65     (E(f6(f6(a2,x11781),x11782),f6(f6(a1,x11781),x11782))),
% 8.51/8.65     inference(scs_inference,[],[1135,1165,1170,1139,1105,965,1056,913,400,191,19,18,25,3,43,7,6])).
% 8.51/8.65  cnf(1180,plain,
% 8.51/8.65     (E(f3(f6(a2,x11801),x11802),f3(f6(a1,x11801),x11802))),
% 8.51/8.65     inference(scs_inference,[],[1135,1165,1170,1139,1105,965,1056,913,400,191,19,18,25,3,43,7,6,8,4])).
% 8.51/8.65  cnf(1235,plain,
% 8.51/8.65     (E(f3(x12351,f6(a9,a12)),f3(x12351,a4))),
% 8.51/8.65     inference(scs_inference,[],[1083,939,212,26,5])).
% 8.51/8.65  cnf(1286,plain,
% 8.51/8.65     (P10(f6(f3(x12861,a1),f3(a9,a11)),f6(f3(x12861,a2),a14))),
% 8.51/8.65     inference(scs_inference,[],[1172,1049,1139,339,19,18])).
% 8.51/8.65  cnf(1289,plain,
% 8.51/8.65     (E(f6(x12891,f6(a1,a1)),f6(x12891,f6(a2,a2)))),
% 8.51/8.65     inference(scs_inference,[],[1172,1049,1139,339,198,19,18,7])).
% 8.51/8.65  cnf(1290,plain,
% 8.51/8.65     (E(f6(f6(a1,a1),x12901),f6(f6(a2,a2),x12901))),
% 8.51/8.65     inference(scs_inference,[],[1172,1049,1139,339,198,19,18,7,6])).
% 8.51/8.65  cnf(1291,plain,
% 8.51/8.65     (E(f10(f6(a1,a1)),f10(f6(a2,a2)))),
% 8.51/8.65     inference(scs_inference,[],[1172,1049,1139,339,198,19,18,7,6,8])).
% 8.51/8.65  cnf(1292,plain,
% 8.51/8.65     (E(f3(f6(a1,a1),x12921),f3(f6(a2,a2),x12921))),
% 8.51/8.65     inference(scs_inference,[],[1172,1049,1139,339,198,19,18,7,6,8,4])).
% 8.51/8.65  cnf(1293,plain,
% 8.51/8.65     (P5(f3(x12931,f6(a9,a12)),f3(x12931,a4))),
% 8.51/8.65     inference(scs_inference,[],[1235,1172,1049,1139,339,198,19,18,7,6,8,4,40])).
% 8.51/8.65  cnf(1295,plain,
% 8.51/8.65     (E(f3(x12951,a4),f3(x12951,f6(a9,a12)))),
% 8.51/8.65     inference(scs_inference,[],[1235,1172,1049,1139,339,198,19,18,7,6,8,4,40,2])).
% 8.51/8.65  cnf(1298,plain,
% 8.51/8.65     (P5(f3(x12981,a4),f3(x12981,a4))),
% 8.51/8.65     inference(scs_inference,[],[1235,1172,1049,1139,339,198,152,19,18,7,6,8,4,40,2,48,25])).
% 8.51/8.65  cnf(1315,plain,
% 8.51/8.65     (P10(f3(f3(x13151,a1),f3(a1,x13152)),f3(f3(x13151,a1),f3(a1,x13152)))),
% 8.51/8.65     inference(scs_inference,[],[1166,1105,19])).
% 8.51/8.65  cnf(1319,plain,
% 8.51/8.65     (E(f6(f6(a1,a1),f6(a1,a1)),f6(f6(a2,a2),f6(a2,a2)))),
% 8.51/8.65     inference(scs_inference,[],[1289,1290,1166,1286,1105,273,19,18,3])).
% 8.51/8.65  cnf(1339,plain,
% 8.51/8.65     (E(f3(f6(a1,a1),a4),f3(f6(a2,a2),f6(a9,a12)))),
% 8.51/8.65     inference(scs_inference,[],[1292,1295,3])).
% 8.51/8.65  cnf(1364,plain,
% 8.51/8.65     (P5(f3(f6(a1,a1),f6(a9,a12)),f3(f6(a2,a2),f6(a9,a12)))),
% 8.51/8.65     inference(scs_inference,[],[1293,1339,26])).
% 8.51/8.65  cnf(1389,plain,
% 8.51/8.65     (P5(f3(f6(a2,a2),f6(a9,a12)),f3(f6(a2,a2),f6(a9,a12)))),
% 8.51/8.65     inference(scs_inference,[],[1364,1292,25])).
% 8.51/8.65  cnf(1394,plain,
% 8.51/8.65     (E(f6(f6(a1,a1),f6(a2,a1)),f6(f6(a2,a2),f6(a2,a2)))),
% 8.51/8.65     inference(scs_inference,[],[1364,1319,1315,1292,1177,1021,25,19,3])).
% 8.51/8.65  cnf(1396,plain,
% 8.51/8.65     (E(f6(x13961,f6(x13962,a1)),f6(x13961,f6(x13962,a2)))),
% 8.51/8.65     inference(scs_inference,[],[102,1364,1319,1315,1292,1177,1021,25,19,3,7])).
% 8.51/8.65  cnf(1399,plain,
% 8.51/8.65     (E(f3(f6(x13991,a1),x13992),f3(f6(x13991,a2),x13992))),
% 8.51/8.65     inference(scs_inference,[],[102,1364,1319,1315,1292,1177,104,1021,25,19,3,7,6,8,4])).
% 8.51/8.65  cnf(1402,plain,
% 8.51/8.65     (E(f6(f6(a2,a2),f6(a2,a2)),f6(f6(a1,a1),f6(a1,a1)))),
% 8.51/8.65     inference(scs_inference,[],[102,1364,1319,1315,1292,1177,104,1021,25,19,3,7,6,8,4,40,2])).
% 8.51/8.65  cnf(1441,plain,
% 8.51/8.65     (P5(f6(a1,x14411),f6(a2,x14411))),
% 8.51/8.65     inference(scs_inference,[],[103,40])).
% 8.51/8.65  cnf(1443,plain,
% 8.51/8.65     (P5(f3(f6(a2,a2),f6(a9,a12)),f3(f6(a1,a2),f6(a9,a12)))),
% 8.51/8.65     inference(scs_inference,[],[103,1389,1180,40,26])).
% 8.51/8.65  cnf(1445,plain,
% 8.51/8.65     (E(f3(x14451,f3(a1,a2)),f3(x14451,f3(a2,a1)))),
% 8.51/8.65     inference(scs_inference,[],[103,1389,1180,244,40,26,5])).
% 8.51/8.65  cnf(1453,plain,
% 8.51/8.65     (P11(x14531,f6(a9,a12))+~E(a5,x14531)),
% 8.51/8.65     inference(scs_inference,[],[103,1389,1169,1180,244,279,110,40,26,5,48,14,23,9,13,15,27])).
% 8.51/8.65  cnf(1461,plain,
% 8.51/8.65     (E(f6(x14611,a1),f6(x14611,a2))),
% 8.51/8.65     inference(rename_variables,[],[102])).
% 8.51/8.65  cnf(1467,plain,
% 8.51/8.65     (P10(f6(x14671,a2),f6(x14671,a2))),
% 8.51/8.65     inference(scs_inference,[],[102,1461,1394,1441,1178,26,3,39,18])).
% 8.51/8.65  cnf(1474,plain,
% 8.51/8.65     (P2(a4,x14741)+~E(a5,x14741)),
% 8.51/8.65     inference(scs_inference,[],[102,1461,1394,1441,1178,366,477,181,35,26,3,39,18,19,47,28,15,27,12])).
% 8.51/8.65  cnf(1483,plain,
% 8.51/8.65     (E(f3(x14831,a1),f3(x14831,a2))),
% 8.51/8.65     inference(rename_variables,[],[104])).
% 8.51/8.65  cnf(1485,plain,
% 8.51/8.65     (E(f6(x14851,f3(x14852,a1)),f6(x14851,f3(x14852,a2)))),
% 8.51/8.65     inference(scs_inference,[],[104,1483,103,1399,1467,18,3,7])).
% 8.51/8.65  cnf(1517,plain,
% 8.51/8.65     (P5(f3(f6(a1,a2),f6(a9,a12)),f3(f6(a1,a2),f6(a9,a12)))),
% 8.51/8.65     inference(scs_inference,[],[1443,1180,25])).
% 8.51/8.65  cnf(1543,plain,
% 8.51/8.65     (E(f3(a1,a1),f3(a2,a2))),
% 8.51/8.65     inference(scs_inference,[],[105,104,3])).
% 8.51/8.65  cnf(1544,plain,
% 8.51/8.65     (E(f3(a1,x15441),f3(a2,x15441))),
% 8.51/8.65     inference(rename_variables,[],[105])).
% 8.51/8.65  cnf(1554,plain,
% 8.51/8.65     (P5(f3(f6(a1,a2),f6(a9,a12)),f3(f6(a1,a1),f6(a9,a12)))),
% 8.51/8.65     inference(scs_inference,[],[105,1544,104,1517,1298,676,550,116,202,3,5,48,25,52,26])).
% 8.51/8.65  cnf(1564,plain,
% 8.51/8.65     (E(f6(f6(a2,a2),f6(a2,a2)),f6(f6(a1,a1),f6(a1,a2)))),
% 8.51/8.65     inference(scs_inference,[],[1402,1396,3])).
% 8.51/8.65  cnf(1566,plain,
% 8.51/8.65     (P10(f3(a1,x15661),f3(a2,x15661))),
% 8.51/8.65     inference(scs_inference,[],[105,1402,1396,3,39])).
% 8.51/8.65  cnf(1587,plain,
% 8.51/8.65     (E(f3(x15871,f3(a1,a1)),f3(x15871,f3(a2,a2)))),
% 8.51/8.65     inference(scs_inference,[],[1543,5])).
% 8.51/8.65  cnf(1589,plain,
% 8.51/8.65     (E(f6(x15891,f3(a1,x15892)),f6(x15891,f3(a2,x15892)))),
% 8.51/8.65     inference(scs_inference,[],[105,1564,1543,5,2,7])).
% 8.51/8.65  cnf(1595,plain,
% 8.51/8.65     (P10(f3(a2,x15951),f3(a2,x15951))),
% 8.51/8.65     inference(scs_inference,[],[105,1564,1543,1566,478,5,2,7,6,4,8,48,18])).
% 8.51/8.65  cnf(1620,plain,
% 8.51/8.65     (P5(f3(x16201,a1),f3(x16201,a2))),
% 8.51/8.65     inference(scs_inference,[],[104,40])).
% 8.51/8.65  cnf(1628,plain,
% 8.51/8.65     (P5(f3(f6(a1,a1),f6(a9,a12)),f3(f6(a1,a1),f6(a9,a12)))),
% 8.51/8.65     inference(scs_inference,[],[104,105,1554,1595,945,550,40,26,18,25])).
% 8.51/8.65  cnf(1650,plain,
% 8.51/8.65     (P10(f3(f10(a2),f6(a2,a1)),f3(f10(a2),f6(a2,a2)))),
% 8.51/8.65     inference(scs_inference,[],[105,972,1620,1135,26,19])).
% 8.51/8.65  cnf(1701,plain,
% 8.51/8.65     (E(f3(f6(a1,x17011),x17012),f3(f6(a2,x17011),x17012))),
% 8.51/8.65     inference(scs_inference,[],[103,105,1445,3,7,6,4])).
% 8.51/8.65  cnf(1756,plain,
% 8.51/8.65     (P10(f3(f10(a1),f6(a2,a1)),f3(f10(a2),f6(a2,a2)))),
% 8.51/8.65     inference(scs_inference,[],[1650,941,18])).
% 8.51/8.65  cnf(1786,plain,
% 8.51/8.65     (E(f6(a1,x17861),f6(a2,x17861))),
% 8.51/8.65     inference(rename_variables,[],[103])).
% 8.51/8.65  cnf(1787,plain,
% 8.51/8.65     (P10(f6(a1,x17871),f6(a2,x17871))),
% 8.51/8.65     inference(scs_inference,[],[103,1786,1756,1485,907,19,3,39])).
% 8.51/8.65  cnf(1807,plain,
% 8.51/8.65     (E(f6(x18071,f3(a1,a1)),f6(x18071,f3(a2,a2)))),
% 8.51/8.65     inference(scs_inference,[],[1543,7])).
% 8.51/8.65  cnf(1808,plain,
% 8.51/8.65     (E(f6(f3(a1,a1),x18081),f6(f3(a2,a2),x18081))),
% 8.51/8.65     inference(scs_inference,[],[1543,7,6])).
% 8.51/8.65  cnf(1833,plain,
% 8.51/8.65     (P5(f3(f6(a2,a1),f6(a9,a12)),f3(f6(a1,a1),f6(a9,a12)))),
% 8.51/8.65     inference(scs_inference,[],[1807,1701,1628,2,25])).
% 8.51/8.65  cnf(1851,plain,
% 8.51/8.65     (P5(f3(f6(a2,a1),f6(a9,a12)),f3(f6(a1,a2),f6(a9,a12)))),
% 8.51/8.65     inference(scs_inference,[],[1833,1399,26])).
% 8.51/8.65  cnf(1855,plain,
% 8.51/8.65     (E(f6(x18551,a1),f6(x18551,a2))),
% 8.51/8.65     inference(rename_variables,[],[102])).
% 8.51/8.65  cnf(1861,plain,
% 8.51/8.65     (E(f6(x18611,a1),f6(x18611,a2))),
% 8.51/8.65     inference(rename_variables,[],[102])).
% 8.51/8.65  cnf(1862,plain,
% 8.51/8.65     (P10(f6(a1,x18621),f6(a2,x18621))),
% 8.51/8.65     inference(rename_variables,[],[1787])).
% 8.51/8.65  cnf(1866,plain,
% 8.51/8.65     (P5(f3(a2,f3(a1,x18661)),f3(a2,f3(a1,x18661)))),
% 8.51/8.65     inference(scs_inference,[],[102,1855,1861,105,1808,1833,1787,1862,1111,1399,233,26,3,40,47,18,19,25])).
% 8.51/8.65  cnf(1944,plain,
% 8.51/8.65     (P11(f6(a9,a13),f6(a9,a12))),
% 8.51/8.65     inference(scs_inference,[],[103,116,1851,1291,1589,1866,779,1587,1701,2,18,26,25,3,1474,45,5,48,1453])).
% 8.51/8.65  cnf(1970,plain,
% 8.51/8.65     (~E(f6(a9,a12),f6(a9,a11))),
% 8.51/8.65     inference(scs_inference,[],[1944,66])).
% 8.51/8.65  cnf(2000,plain,
% 8.51/8.65     (~E(f6(a9,a11),f6(a9,a12))),
% 8.51/8.65     inference(scs_inference,[],[1970,7,2])).
% 8.51/8.65  cnf(2001,plain,
% 8.51/8.65     (~E(a4,f6(a9,a11))),
% 8.51/8.65     inference(scs_inference,[],[1970,212,7,2,3])).
% 8.51/8.65  cnf(2065,plain,
% 8.51/8.65     ($false),
% 8.51/8.65     inference(scs_inference,[],[2001,2000,441,7,2]),
% 8.51/8.65     ['proof']).
% 8.51/8.65  % SZS output end Proof
% 8.51/8.65  % Total time :8.120000s
%------------------------------------------------------------------------------