TSTP Solution File: MGT042-1 by CSE---1.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE---1.6
% Problem  : MGT042-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d

% Computer : n027.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 09:06:59 EDT 2023

% Result   : Unsatisfiable 29.56s 29.66s
% Output   : CNFRefutation 29.56s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : MGT042-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.13  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34  % Computer : n027.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   : Mon Aug 28 06:45:51 EDT 2023
% 0.13/0.34  % CPUTime    : 
% 0.20/0.60  start to proof:theBenchmark
% 29.56/29.65  %-------------------------------------------
% 29.56/29.65  % File        :CSE---1.6
% 29.56/29.65  % Problem     :theBenchmark
% 29.56/29.65  % Transform   :cnf
% 29.56/29.65  % Format      :tptp:raw
% 29.56/29.65  % Command     :java -jar mcs_scs.jar %d %s
% 29.56/29.65  
% 29.56/29.65  % Result      :Theorem 29.000000s
% 29.56/29.65  % Output      :CNFRefutation 29.000000s
% 29.56/29.65  %-------------------------------------------
% 29.56/29.65  %--------------------------------------------------------------------------
% 29.56/29.65  % File     : MGT042-1 : TPTP v8.1.2. Released v2.4.0.
% 29.56/29.65  % Domain   : Management (Organisation Theory)
% 29.56/29.65  % Problem  : Conditions for a lower hazard of mortality
% 29.56/29.65  % Version  : [Han98] axioms.
% 29.56/29.65  % English  : When an organization lacks immunity, increased collective
% 29.56/29.65  %            knowledge and superior external ties lower its hazard of
% 29.56/29.65  %            mortality when internal friction does not increase.
% 29.56/29.65  
% 29.56/29.65  % Refs     : [Kam00] Kamps (2000), Email to G. Sutcliffe
% 29.56/29.65  %          : [CH00]  Carroll & Hannan (2000), The Demography of Corporation
% 29.56/29.65  %          : [Han98] Hannan (1998), Rethinking Age Dependence in Organizati
% 29.56/29.65  % Source   : [TPTP]
% 29.56/29.65  % Names    :
% 29.56/29.65  
% 29.56/29.65  % Status   : Unsatisfiable
% 29.56/29.65  % Rating   : 0.10 v8.1.0, 0.00 v7.5.0, 0.05 v7.4.0, 0.06 v7.3.0, 0.17 v7.1.0, 0.08 v7.0.0, 0.20 v6.4.0, 0.13 v6.3.0, 0.18 v6.2.0, 0.20 v6.1.0, 0.29 v6.0.0, 0.40 v5.5.0, 0.55 v5.3.0, 0.56 v5.2.0, 0.50 v5.1.0, 0.59 v5.0.0, 0.50 v4.1.0, 0.31 v4.0.1, 0.36 v4.0.0, 0.27 v3.7.0, 0.20 v3.5.0, 0.18 v3.4.0, 0.17 v3.3.0, 0.36 v3.2.0, 0.46 v3.1.0, 0.55 v2.7.0, 0.50 v2.6.0, 0.56 v2.5.0, 0.67 v2.4.0
% 29.56/29.65  % Syntax   : Number of clauses     :   38 (   3 unt;  15 nHn;  37 RR)
% 29.56/29.65  %            Number of literals    :   97 (  13 equ;  44 neg)
% 29.56/29.65  %            Maximal clause size   :    6 (   2 avg)
% 29.56/29.65  %            Maximal term depth    :    2 (   1 avg)
% 29.56/29.65  %            Number of predicates  :    7 (   6 usr;   0 prp; 1-2 aty)
% 29.56/29.65  %            Number of functors    :    9 (   9 usr;   3 con; 0-2 aty)
% 29.56/29.65  %            Number of variables   :   47 (   0 sgn)
% 29.56/29.65  % SPC      : CNF_UNS_RFO_SEQ_NHN
% 29.56/29.65  
% 29.56/29.65  % Comments : The original text uses mnemonic names:
% 29.56/29.65  %            Original:    C/F/P:  Arity:    New name:
% 29.56/29.65  %            zero-symbol  c       0         zero
% 29.56/29.65  %            eta-symbol   c       0         eta
% 29.56/29.65  %            sigma-symbol c       0         sigma
% 29.56/29.65  %            tau-symbol   c       0         tau
% 29.56/29.65  %            very_low     c       0         very_low
% 29.56/29.65  %            low          c       0         low
% 29.56/29.65  %            mod1         c       0         mod1
% 29.56/29.65  %            mod2         c       0         mod2
% 29.56/29.65  %            high         c       0         high
% 29.56/29.65  %            A            f       2         age
% 29.56/29.65  %            H            f       2         hazard_of_mortality
% 29.56/29.65  %            C            f       2         capability
% 29.56/29.65  %            P            f       2         position
% 29.56/29.65  %            K            f       2         stock_of_knowledge
% 29.56/29.65  %            T            f       2         external_ties
% 29.56/29.65  %            F            f       2         internal_friction
% 29.56/29.65  %            O            p       1         organization
% 29.56/29.65  %            EN           p       1         has_endowment
% 29.56/29.65  %            IM           p       2         has_immunity
% 29.56/29.65  %            DS           p       3         dissimilar
% 29.56/29.65  %            AL           p       2         is_aligned
% 29.56/29.65  %            PA           p       2         positional_advantage
% 29.56/29.65  %            FG           p       1         fragile_position
% 29.56/29.65  %            RB           p       1         robust_position
% 29.56/29.65  %          : Created with tptp2X -f tptp -t clausify:otter MGT042+1.p
% 29.56/29.65  %--------------------------------------------------------------------------
% 29.56/29.65  include('Axioms/MGT001-0.ax').
% 29.56/29.65  %--------------------------------------------------------------------------
% 29.56/29.65  cnf(assumption_4_38,axiom,
% 29.56/29.65      ( ~ organization(A)
% 29.56/29.65      | has_immunity(A,B)
% 29.56/29.65      | has_immunity(A,C)
% 29.56/29.65      | ~ greater(capability(A,C),capability(A,B))
% 29.56/29.65      | ~ greater_or_equal(position(A,C),position(A,B))
% 29.56/29.65      | smaller(hazard_of_mortality(A,C),hazard_of_mortality(A,B)) ) ).
% 29.56/29.65  
% 29.56/29.65  cnf(assumption_4_39,axiom,
% 29.56/29.65      ( ~ organization(A)
% 29.56/29.65      | has_immunity(A,B)
% 29.56/29.65      | has_immunity(A,C)
% 29.56/29.65      | ~ greater_or_equal(capability(A,C),capability(A,B))
% 29.56/29.65      | ~ greater(position(A,C),position(A,B))
% 29.56/29.65      | smaller(hazard_of_mortality(A,C),hazard_of_mortality(A,B)) ) ).
% 29.56/29.65  
% 29.56/29.65  cnf(assumption_4_40,axiom,
% 29.56/29.65      ( ~ organization(A)
% 29.56/29.65      | has_immunity(A,B)
% 29.56/29.65      | has_immunity(A,C)
% 29.56/29.65      | capability(A,C) != capability(A,B)
% 29.56/29.65      | position(A,C) != position(A,B)
% 29.56/29.65      | hazard_of_mortality(A,C) = hazard_of_mortality(A,B) ) ).
% 29.56/29.65  
% 29.56/29.65  cnf(assumption_5_41,axiom,
% 29.56/29.65      ( ~ organization(A)
% 29.56/29.65      | ~ greater(stock_of_knowledge(A,B),stock_of_knowledge(A,C))
% 29.56/29.65      | ~ smaller_or_equal(internal_friction(A,B),internal_friction(A,C))
% 29.56/29.65      | greater(capability(A,B),capability(A,C)) ) ).
% 29.56/29.65  
% 29.56/29.65  cnf(assumption_5_42,axiom,
% 29.56/29.65      ( ~ organization(A)
% 29.56/29.65      | ~ smaller_or_equal(stock_of_knowledge(A,B),stock_of_knowledge(A,C))
% 29.56/29.65      | ~ greater(internal_friction(A,B),internal_friction(A,C))
% 29.56/29.65      | smaller(capability(A,B),capability(A,C)) ) ).
% 29.56/29.65  
% 29.56/29.65  cnf(assumption_5_43,axiom,
% 29.56/29.65      ( ~ organization(A)
% 29.56/29.65      | stock_of_knowledge(A,B) != stock_of_knowledge(A,C)
% 29.56/29.65      | internal_friction(A,B) != internal_friction(A,C)
% 29.56/29.65      | capability(A,B) = capability(A,C) ) ).
% 29.56/29.65  
% 29.56/29.65  cnf(assumption_6_44,axiom,
% 29.56/29.65      ( ~ organization(A)
% 29.56/29.65      | ~ greater(external_ties(A,B),external_ties(A,C))
% 29.56/29.66      | greater(position(A,B),position(A,C)) ) ).
% 29.56/29.66  
% 29.56/29.66  cnf(assumption_6_45,axiom,
% 29.56/29.66      ( ~ organization(A)
% 29.56/29.66      | external_ties(A,B) != external_ties(A,C)
% 29.56/29.66      | position(A,B) = position(A,C) ) ).
% 29.56/29.66  
% 29.56/29.66  cnf(lemma_1_46,negated_conjecture,
% 29.56/29.66      organization(sk1) ).
% 29.56/29.66  
% 29.56/29.66  cnf(lemma_1_47,negated_conjecture,
% 29.56/29.66      ~ has_immunity(sk1,sk2) ).
% 29.56/29.66  
% 29.56/29.66  cnf(lemma_1_48,negated_conjecture,
% 29.56/29.66      ~ has_immunity(sk1,sk3) ).
% 29.56/29.66  
% 29.56/29.66  cnf(lemma_1_49,negated_conjecture,
% 29.56/29.66      ( greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2))
% 29.56/29.66      | greater_or_equal(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)) ) ).
% 29.56/29.66  
% 29.56/29.66  cnf(lemma_1_50,negated_conjecture,
% 29.56/29.66      ( greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2))
% 29.56/29.66      | smaller_or_equal(internal_friction(sk1,sk3),internal_friction(sk1,sk2)) ) ).
% 29.56/29.66  
% 29.56/29.66  cnf(lemma_1_51,negated_conjecture,
% 29.56/29.66      ( greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2))
% 29.56/29.66      | greater(external_ties(sk1,sk3),external_ties(sk1,sk2)) ) ).
% 29.56/29.66  
% 29.56/29.66  cnf(lemma_1_52,negated_conjecture,
% 29.56/29.66      ( smaller_or_equal(internal_friction(sk1,sk3),internal_friction(sk1,sk2))
% 29.56/29.66      | greater_or_equal(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)) ) ).
% 29.56/29.66  
% 29.56/29.66  cnf(lemma_1_53,negated_conjecture,
% 29.56/29.66      ( greater_or_equal(external_ties(sk1,sk3),external_ties(sk1,sk2))
% 29.56/29.66      | greater_or_equal(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)) ) ).
% 29.56/29.66  
% 29.56/29.66  cnf(lemma_1_54,negated_conjecture,
% 29.56/29.66      ( smaller_or_equal(internal_friction(sk1,sk3),internal_friction(sk1,sk2))
% 29.56/29.66      | smaller_or_equal(internal_friction(sk1,sk3),internal_friction(sk1,sk2)) ) ).
% 29.56/29.66  
% 29.56/29.66  cnf(lemma_1_55,negated_conjecture,
% 29.56/29.66      ( smaller_or_equal(internal_friction(sk1,sk3),internal_friction(sk1,sk2))
% 29.56/29.66      | greater(external_ties(sk1,sk3),external_ties(sk1,sk2)) ) ).
% 29.56/29.66  
% 29.56/29.66  cnf(lemma_1_56,negated_conjecture,
% 29.56/29.66      ( greater_or_equal(external_ties(sk1,sk3),external_ties(sk1,sk2))
% 29.56/29.66      | smaller_or_equal(internal_friction(sk1,sk3),internal_friction(sk1,sk2)) ) ).
% 29.56/29.66  
% 29.56/29.66  cnf(lemma_1_57,negated_conjecture,
% 29.56/29.66      ( greater_or_equal(external_ties(sk1,sk3),external_ties(sk1,sk2))
% 29.56/29.66      | greater(external_ties(sk1,sk3),external_ties(sk1,sk2)) ) ).
% 29.56/29.66  
% 29.56/29.66  cnf(lemma_1_58,negated_conjecture,
% 29.56/29.66      ( greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2))
% 29.56/29.66      | ~ smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2)) ) ).
% 29.56/29.66  
% 29.56/29.66  cnf(lemma_1_59,negated_conjecture,
% 29.56/29.66      ( smaller_or_equal(internal_friction(sk1,sk3),internal_friction(sk1,sk2))
% 29.56/29.66      | ~ smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2)) ) ).
% 29.56/29.66  
% 29.56/29.66  cnf(lemma_1_60,negated_conjecture,
% 29.56/29.66      ( greater_or_equal(external_ties(sk1,sk3),external_ties(sk1,sk2))
% 29.56/29.66      | ~ smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2)) ) ).
% 29.56/29.66  
% 29.56/29.66  cnf(lemma_1_61,negated_conjecture,
% 29.56/29.66      ( ~ smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2))
% 29.56/29.66      | greater_or_equal(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)) ) ).
% 29.56/29.66  
% 29.56/29.66  cnf(lemma_1_62,negated_conjecture,
% 29.56/29.66      ( ~ smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2))
% 29.56/29.66      | smaller_or_equal(internal_friction(sk1,sk3),internal_friction(sk1,sk2)) ) ).
% 29.56/29.66  
% 29.56/29.66  cnf(lemma_1_63,negated_conjecture,
% 29.56/29.66      ( ~ smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2))
% 29.56/29.66      | greater(external_ties(sk1,sk3),external_ties(sk1,sk2)) ) ).
% 29.56/29.66  
% 29.56/29.66  cnf(lemma_1_64,negated_conjecture,
% 29.56/29.66      ( ~ smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2))
% 29.56/29.66      | ~ smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2)) ) ).
% 29.56/29.66  
% 29.56/29.66  %--------------------------------------------------------------------------
% 29.56/29.66  %-------------------------------------------
% 29.56/29.66  % Proof found
% 29.56/29.66  % SZS status Theorem for theBenchmark
% 29.56/29.66  % SZS output start Proof
% 29.56/29.66  %ClaNum:64(EqnAxiom:26)
% 29.56/29.66  %VarNum:160(SingletonVarNum:47)
% 29.56/29.66  %MaxLitNum:6
% 29.56/29.66  %MaxfuncDepth:1
% 29.56/29.66  %SharedTerms:20
% 29.56/29.66  %goalClause: 27 28 29 30 31 48 49 50 51
% 29.56/29.66  %singleGoalClaCount:5
% 29.56/29.66  [27]P1(a1)
% 29.56/29.66  [29]~P2(a1,a8)
% 29.56/29.66  [30]~P2(a1,a7)
% 29.56/29.66  [28]P5(f2(a1,a7),f2(a1,a8))
% 29.56/29.66  [31]~P6(f3(a1,a7),f3(a1,a8))
% 29.56/29.66  [48]P3(f9(a1,a7),f9(a1,a8))+P3(f4(a1,a7),f4(a1,a8))
% 29.56/29.66  [49]P4(f9(a1,a7),f9(a1,a8))+P3(f9(a1,a7),f9(a1,a8))
% 29.56/29.66  [50]P4(f4(a1,a7),f4(a1,a8))+P3(f4(a1,a7),f4(a1,a8))
% 29.56/29.66  [51]P4(f9(a1,a7),f9(a1,a8))+P4(f4(a1,a7),f4(a1,a8))
% 29.56/29.66  [32]~E(x321,x322)+P5(x321,x322)
% 29.56/29.66  [33]~E(x331,x332)+P3(x331,x332)
% 29.56/29.66  [35]~P6(x351,x352)+P5(x351,x352)
% 29.56/29.66  [36]~P4(x362,x361)+P6(x361,x362)
% 29.56/29.66  [37]~P4(x371,x372)+P3(x371,x372)
% 29.56/29.66  [38]~P6(x382,x381)+P4(x381,x382)
% 29.56/29.66  [41]~P4(x412,x411)+~P4(x411,x412)
% 29.56/29.66  [34]P6(x341,x342)+P4(x341,x342)+E(x341,x342)
% 29.56/29.66  [39]P6(x391,x392)+~P5(x391,x392)+E(x391,x392)
% 29.56/29.66  [40]P4(x401,x402)+~P3(x401,x402)+E(x401,x402)
% 29.56/29.66  [42]~P4(x421,x423)+P4(x421,x422)+~P4(x423,x422)
% 29.56/29.66  [43]~P1(x431)+~E(f4(x431,x432),f4(x431,x433))+E(f6(x431,x432),f6(x431,x433))
% 29.56/29.66  [60]~P1(x601)+~P4(f4(x601,x602),f4(x601,x603))+P4(f6(x601,x602),f6(x601,x603))
% 29.56/29.66  [52]~P1(x521)+~E(f9(x521,x522),f9(x521,x523))+~E(f2(x521,x522),f2(x521,x523))+E(f5(x521,x522),f5(x521,x523))
% 29.56/29.66  [61]~P1(x611)+~P5(f9(x611,x612),f9(x611,x613))+~P4(f2(x611,x612),f2(x611,x613))+P6(f5(x611,x612),f5(x611,x613))
% 29.56/29.66  [62]~P1(x621)+~P5(f2(x621,x622),f2(x621,x623))+~P4(f9(x621,x622),f9(x621,x623))+P4(f5(x621,x622),f5(x621,x623))
% 29.56/29.66  [59]P2(x591,x593)+P2(x591,x592)+~P1(x591)+~E(f5(x591,x592),f5(x591,x593))+~E(f6(x591,x592),f6(x591,x593))+E(f3(x591,x592),f3(x591,x593))
% 29.56/29.66  [63]~P1(x631)+P2(x631,x632)+P2(x631,x633)+P6(f3(x631,x632),f3(x631,x633))+~P3(f5(x631,x632),f5(x631,x633))+~P4(f6(x631,x632),f6(x631,x633))
% 29.56/29.66  [64]~P1(x641)+P2(x641,x642)+P2(x641,x643)+P6(f3(x641,x642),f3(x641,x643))+~P3(f6(x641,x642),f6(x641,x643))+~P4(f5(x641,x642),f5(x641,x643))
% 29.56/29.66  %EqnAxiom
% 29.56/29.66  [1]E(x11,x11)
% 29.56/29.66  [2]E(x22,x21)+~E(x21,x22)
% 29.56/29.66  [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 29.56/29.66  [4]~E(x41,x42)+E(f2(x41,x43),f2(x42,x43))
% 29.56/29.66  [5]~E(x51,x52)+E(f2(x53,x51),f2(x53,x52))
% 29.56/29.66  [6]~E(x61,x62)+E(f5(x61,x63),f5(x62,x63))
% 29.56/29.66  [7]~E(x71,x72)+E(f5(x73,x71),f5(x73,x72))
% 29.56/29.66  [8]~E(x81,x82)+E(f3(x81,x83),f3(x82,x83))
% 29.56/29.66  [9]~E(x91,x92)+E(f3(x93,x91),f3(x93,x92))
% 29.56/29.66  [10]~E(x101,x102)+E(f6(x101,x103),f6(x102,x103))
% 29.56/29.66  [11]~E(x111,x112)+E(f6(x113,x111),f6(x113,x112))
% 29.56/29.66  [12]~E(x121,x122)+E(f9(x121,x123),f9(x122,x123))
% 29.56/29.66  [13]~E(x131,x132)+E(f9(x133,x131),f9(x133,x132))
% 29.56/29.66  [14]~E(x141,x142)+E(f4(x141,x143),f4(x142,x143))
% 29.56/29.66  [15]~E(x151,x152)+E(f4(x153,x151),f4(x153,x152))
% 29.56/29.66  [16]~P1(x161)+P1(x162)+~E(x161,x162)
% 29.56/29.66  [17]P5(x172,x173)+~E(x171,x172)+~P5(x171,x173)
% 29.56/29.66  [18]P5(x183,x182)+~E(x181,x182)+~P5(x183,x181)
% 29.56/29.66  [19]P2(x192,x193)+~E(x191,x192)+~P2(x191,x193)
% 29.56/29.66  [20]P2(x203,x202)+~E(x201,x202)+~P2(x203,x201)
% 29.56/29.66  [21]P6(x212,x213)+~E(x211,x212)+~P6(x211,x213)
% 29.56/29.66  [22]P6(x223,x222)+~E(x221,x222)+~P6(x223,x221)
% 29.56/29.66  [23]P4(x232,x233)+~E(x231,x232)+~P4(x231,x233)
% 29.56/29.66  [24]P4(x243,x242)+~E(x241,x242)+~P4(x243,x241)
% 29.56/29.66  [25]P3(x252,x253)+~E(x251,x252)+~P3(x251,x253)
% 29.56/29.66  [26]P3(x263,x262)+~E(x261,x262)+~P3(x263,x261)
% 29.56/29.66  
% 29.56/29.66  %-------------------------------------------
% 29.56/29.66  cnf(65,plain,
% 29.56/29.66     (~P4(f3(a1,a8),f3(a1,a7))),
% 29.56/29.66     inference(scs_inference,[],[31,36])).
% 29.56/29.66  cnf(77,plain,
% 29.56/29.66     (~E(x771,f3(a1,a7))+P4(f6(a1,x772),f6(a1,x773))+~P4(f4(a1,x772),f4(a1,x773))),
% 29.56/29.66     inference(scs_inference,[],[27,31,36,24,38,42,40,39,34,60])).
% 29.56/29.66  cnf(81,plain,
% 29.56/29.66     (~E(x811,f3(a1,a7))+P4(f5(a1,a7),f5(a1,a8))+~P4(f9(a1,a7),f9(a1,a8))),
% 29.56/29.66     inference(scs_inference,[],[27,28,31,36,24,38,42,40,39,34,60,43,62])).
% 29.56/29.66  cnf(83,plain,
% 29.56/29.66     (~E(x831,f3(a1,a7))+~P3(f6(a1,a7),f6(a1,a8))+~P4(f9(a1,a7),f9(a1,a8))),
% 29.56/29.66     inference(scs_inference,[],[27,29,30,28,31,36,24,38,42,40,39,34,60,43,62,64])).
% 29.56/29.66  cnf(91,plain,
% 29.56/29.66     (~P4(f4(a1,x911),f4(a1,x912))+P4(f6(a1,x911),f6(a1,x912))),
% 29.56/29.66     inference(equality_inference,[],[77])).
% 29.56/29.66  cnf(92,plain,
% 29.56/29.66     (~P4(f9(a1,a7),f9(a1,a8))+P4(f5(a1,a7),f5(a1,a8))),
% 29.56/29.66     inference(equality_inference,[],[81])).
% 29.56/29.66  cnf(93,plain,
% 29.56/29.66     (~P4(f9(a1,a7),f9(a1,a8))+~P3(f6(a1,a7),f6(a1,a8))),
% 29.56/29.66     inference(equality_inference,[],[83])).
% 29.56/29.66  cnf(95,plain,
% 29.56/29.66     (~P4(f6(a1,a7),f6(a1,a8))+~P3(f5(a1,a7),f5(a1,a8))),
% 29.56/29.66     inference(scs_inference,[],[27,29,30,31,65,23,63])).
% 29.56/29.66  cnf(96,plain,
% 29.56/29.66     (E(f2(a1,a7),f2(a1,a8))+P6(f2(a1,a7),f2(a1,a8))),
% 29.56/29.66     inference(scs_inference,[],[27,29,30,28,31,65,23,63,39])).
% 29.56/29.66  cnf(98,plain,
% 29.56/29.66     (~P3(f5(a1,a7),f5(a1,a8))+~P4(f4(a1,a7),f4(a1,a8))),
% 29.56/29.66     inference(scs_inference,[],[27,29,30,28,31,65,23,63,39,60])).
% 29.56/29.66  cnf(112,plain,
% 29.56/29.66     (E(f5(a1,x1121),f5(a1,x1122))+~E(f2(a1,x1121),f2(a1,x1122))+~E(f9(a1,x1121),f9(a1,x1122))),
% 29.56/29.66     inference(scs_inference,[],[30,27,20,61,52])).
% 29.56/29.66  cnf(114,plain,
% 29.56/29.66     (P4(f5(a1,x1141),f5(a1,x1142))+~P4(f2(a1,x1142),f2(a1,x1141))+~P5(f9(a1,x1142),f9(a1,x1141))),
% 29.56/29.66     inference(scs_inference,[],[30,27,20,61,52,38])).
% 29.56/29.66  cnf(122,plain,
% 29.56/29.66     (~E(a1,x1221)+P1(x1221)),
% 29.56/29.66     inference(scs_inference,[],[27,16])).
% 29.56/29.66  cnf(130,plain,
% 29.56/29.66     (E(f6(a1,x1301),f6(a1,x1302))+~E(f4(a1,x1301),f4(a1,x1302))),
% 29.56/29.66     inference(scs_inference,[],[27,43])).
% 29.56/29.66  cnf(145,plain,
% 29.56/29.66     (~P4(f4(a1,x1451),f4(a1,x1451))),
% 29.56/29.66     inference(scs_inference,[],[41,91])).
% 29.56/29.66  cnf(148,plain,
% 29.56/29.66     (~P4(f4(a1,x1481),x1482)+~E(x1482,f4(a1,x1481))),
% 29.56/29.66     inference(scs_inference,[],[145,38,24])).
% 29.56/29.66  cnf(150,plain,
% 29.56/29.66     (~P6(f4(a1,x1501),x1502)+~E(x1502,f4(a1,x1501))),
% 29.56/29.66     inference(scs_inference,[],[145,38,24,23,22])).
% 29.56/29.66  cnf(185,plain,
% 29.56/29.66     (~P3(f5(a1,a7),f5(a1,a8))+P4(f9(a1,a7),f9(a1,a8))),
% 29.56/29.66     inference(scs_inference,[],[51,98])).
% 29.56/29.66  cnf(187,plain,
% 29.56/29.66     (~P3(f5(a1,a7),f5(a1,a8))+P4(f5(a1,a7),f5(a1,a8))),
% 29.56/29.66     inference(scs_inference,[],[92,185])).
% 29.56/29.66  cnf(189,plain,
% 29.56/29.66     (P4(f2(a1,a8),f2(a1,a7))+E(f2(a1,a7),f2(a1,a8))),
% 29.56/29.66     inference(scs_inference,[],[96,38])).
% 29.56/29.66  cnf(303,plain,
% 29.56/29.66     (~E(f9(a1,x3031),f9(a1,x3032))+~E(f2(a1,x3032),f2(a1,x3031))+E(f5(a1,x3032),f5(a1,x3031))),
% 29.56/29.66     inference(scs_inference,[],[112,2])).
% 29.56/29.66  cnf(308,plain,
% 29.56/29.66     (~E(f2(a1,x3081),f2(a1,x3082))+E(f5(a1,x3082),f5(a1,x3081))+~E(f9(a1,x3081),f9(a1,x3082))),
% 29.56/29.66     inference(scs_inference,[],[303,2])).
% 29.56/29.66  cnf(323,plain,
% 29.56/29.66     (E(f6(x3231,x3232),f6(x3231,x3233))+~E(f4(x3231,x3232),f4(x3231,x3233))+~E(a1,x3231)),
% 29.56/29.66     inference(scs_inference,[],[122,43])).
% 29.56/29.66  cnf(376,plain,
% 29.56/29.66     (~E(x3761,x3762)+P5(x3762,x3761)),
% 29.56/29.66     inference(scs_inference,[],[2,32])).
% 29.56/29.66  cnf(377,plain,
% 29.56/29.66     (P5(x3771,x3771)),
% 29.56/29.66     inference(equality_inference,[],[376])).
% 29.56/29.66  cnf(380,plain,
% 29.56/29.66     (~E(x3801,x3802)+P3(x3802,x3801)),
% 29.56/29.66     inference(scs_inference,[],[2,33])).
% 29.56/29.66  cnf(521,plain,
% 29.56/29.66     (~E(f9(a1,x5211),f9(a1,x5212))+~P4(f2(a1,x5211),f2(a1,x5212))+P4(f5(a1,x5212),f5(a1,x5211))),
% 29.56/29.66     inference(scs_inference,[],[32,114])).
% 29.56/29.66  cnf(614,plain,
% 29.56/29.66     (P3(f5(a1,x6141),f5(a1,x6142))+~E(f9(a1,x6141),f9(a1,x6142))+~E(f2(a1,x6141),f2(a1,x6142))),
% 29.56/29.66     inference(scs_inference,[],[33,112])).
% 29.56/29.66  cnf(617,plain,
% 29.56/29.66     (~E(f5(a1,a7),f5(a1,a8))+P4(f9(a1,a7),f9(a1,a8))),
% 29.56/29.66     inference(scs_inference,[],[33,185])).
% 29.56/29.66  cnf(618,plain,
% 29.56/29.66     (~E(f5(a1,a8),f5(a1,a7))+P4(f9(a1,a7),f9(a1,a8))),
% 29.56/29.66     inference(scs_inference,[],[617,2])).
% 29.56/29.66  cnf(619,plain,
% 29.56/29.66     (~E(x6191,f5(a1,a7))+~E(f5(a1,a8),x6191)+P4(f9(a1,a7),f9(a1,a8))),
% 29.56/29.66     inference(scs_inference,[],[618,3])).
% 29.56/29.66  cnf(620,plain,
% 29.56/29.66     (~E(f5(x6201,a8),f5(a1,a7))+~E(a1,x6201)+P4(f9(a1,a7),f9(a1,a8))),
% 29.56/29.66     inference(scs_inference,[],[619,6])).
% 29.56/29.66  cnf(621,plain,
% 29.56/29.66     (~E(f5(a1,a7),f5(x6211,a8))+~E(a1,x6211)+P4(f9(a1,a7),f9(a1,a8))),
% 29.56/29.66     inference(scs_inference,[],[620,2])).
% 29.56/29.66  cnf(622,plain,
% 29.56/29.66     (P4(f5(a1,a7),f5(x6221,a8))+P6(f5(a1,a7),f5(x6221,a8))+~E(a1,x6221)+P4(f9(a1,a7),f9(a1,a8))),
% 29.56/29.66     inference(scs_inference,[],[621,34])).
% 29.56/29.66  cnf(623,plain,
% 29.56/29.66     (P6(f5(a1,a7),f5(a1,a8))+P4(f5(a1,a7),f5(a1,a8))+P4(f9(a1,a7),f9(a1,a8))),
% 29.56/29.66     inference(equality_inference,[],[622])).
% 29.56/29.66  cnf(624,plain,
% 29.56/29.66     (P6(f5(a1,a7),f5(a1,a8))+P6(f5(a1,a8),f5(a1,a7))+P4(f9(a1,a7),f9(a1,a8))),
% 29.56/29.66     inference(scs_inference,[],[623,36])).
% 29.56/29.66  cnf(625,plain,
% 29.56/29.66     (P6(f5(a1,a7),f5(a1,a8))+P5(f5(a1,a8),f5(a1,a7))+P4(f9(a1,a7),f9(a1,a8))),
% 29.56/29.66     inference(scs_inference,[],[624,35])).
% 29.56/29.66  cnf(628,plain,
% 29.56/29.66     (~E(f5(a1,a7),f5(a1,a8))+P4(f5(a1,a7),f5(a1,a8))),
% 29.56/29.66     inference(scs_inference,[],[33,187])).
% 29.56/29.66  cnf(663,plain,
% 29.56/29.66     (P3(f5(a1,x6631),f5(a1,x6632))+~E(f2(a1,x6631),f2(a1,x6632))+~E(f9(a1,x6632),f9(a1,x6631))),
% 29.56/29.67     inference(scs_inference,[],[33,303])).
% 29.56/29.67  cnf(670,plain,
% 29.56/29.67     (P3(f5(a1,x6701),f5(a1,x6702))+~E(f9(a1,x6702),f9(a1,x6701))+~E(f2(a1,x6702),f2(a1,x6701))),
% 29.56/29.67     inference(scs_inference,[],[33,308])).
% 29.56/29.67  cnf(675,plain,
% 29.56/29.67     (P3(f6(x6751,x6752),f6(x6751,x6753))+~E(f4(x6751,x6752),f4(x6751,x6753))+~E(a1,x6751)),
% 29.56/29.67     inference(scs_inference,[],[33,323])).
% 29.56/29.67  cnf(676,plain,
% 29.56/29.67     (~E(f4(a1,a7),f4(a1,a8))+~P4(f9(a1,a7),f9(a1,a8))),
% 29.56/29.67     inference(scs_inference,[],[675,93])).
% 29.56/29.67  cnf(677,plain,
% 29.56/29.67     (~P6(f9(a1,a8),f9(a1,a7))+~E(f4(a1,a7),f4(a1,a8))),
% 29.56/29.67     inference(scs_inference,[],[676,38])).
% 29.56/29.67  cnf(748,plain,
% 29.56/29.67     (P6(f9(a1,a8),f9(a1,a7))+P4(f4(a1,a7),f4(a1,a8))),
% 29.56/29.67     inference(scs_inference,[],[36,51])).
% 29.56/29.67  cnf(753,plain,
% 29.56/29.67     (P6(f4(a1,a8),f4(a1,a7))+P6(f9(a1,a8),f9(a1,a7))),
% 29.56/29.67     inference(scs_inference,[],[36,748])).
% 29.56/29.67  cnf(754,plain,
% 29.56/29.67     (~E(f4(a1,a7),f4(a1,a8))+P6(f4(a1,a8),f4(a1,a7))),
% 29.56/29.67     inference(scs_inference,[],[753,677])).
% 29.56/29.67  cnf(755,plain,
% 29.56/29.67     (~E(f4(a1,a8),f4(a1,a7))+P6(f4(a1,a8),f4(a1,a7))),
% 29.56/29.67     inference(scs_inference,[],[754,2])).
% 29.56/29.67  cnf(756,plain,
% 29.56/29.67     (P4(f4(a1,a8),f4(a1,a7))+P6(f4(a1,a8),f4(a1,a7))),
% 29.56/29.67     inference(scs_inference,[],[755,34])).
% 29.56/29.67  cnf(760,plain,
% 29.56/29.67     (P6(f4(a1,a7),f4(a1,a8))+P6(f4(a1,a8),f4(a1,a7))),
% 29.56/29.67     inference(scs_inference,[],[36,756])).
% 29.56/29.67  cnf(761,plain,
% 29.56/29.67     (P6(f4(a1,a7),f4(a1,a8))+~E(f4(a1,a7),f4(a1,a8))),
% 29.56/29.67     inference(scs_inference,[],[760,150])).
% 29.56/29.67  cnf(762,plain,
% 29.56/29.67     (~E(f4(a1,a8),f4(a1,a7))+P6(f4(a1,a7),f4(a1,a8))),
% 29.56/29.67     inference(scs_inference,[],[761,2])).
% 29.56/29.67  cnf(763,plain,
% 29.56/29.67     (~P3(f4(a1,a8),f4(a1,a7))+P4(f4(a1,a8),f4(a1,a7))+P6(f4(a1,a7),f4(a1,a8))),
% 29.56/29.67     inference(scs_inference,[],[762,40])).
% 29.56/29.67  cnf(769,plain,
% 29.56/29.67     (P6(f4(a1,a8),f4(a1,a7))+P4(f9(a1,a7),f9(a1,a8))),
% 29.56/29.67     inference(scs_inference,[],[36,51])).
% 29.56/29.67  cnf(770,plain,
% 29.56/29.67     (P5(f4(a1,a8),f4(a1,a7))+P4(f9(a1,a7),f9(a1,a8))),
% 29.56/29.67     inference(scs_inference,[],[769,35])).
% 29.56/29.67  cnf(771,plain,
% 29.56/29.67     (P5(x7711,f4(a1,a7))+~E(f4(a1,a8),x7711)+P4(f9(a1,a7),f9(a1,a8))),
% 29.56/29.67     inference(scs_inference,[],[770,17])).
% 29.56/29.67  cnf(802,plain,
% 29.56/29.67     (~P4(f5(a1,a7),f5(a1,a8))+~P4(f6(a1,a7),f6(a1,a8))),
% 29.56/29.67     inference(scs_inference,[],[37,95])).
% 29.56/29.67  cnf(803,plain,
% 29.56/29.67     (~P4(f5(a1,a7),f5(a1,a8))+~P6(f6(a1,a8),f6(a1,a7))),
% 29.56/29.67     inference(scs_inference,[],[802,38])).
% 29.56/29.67  cnf(804,plain,
% 29.56/29.67     (~P3(f5(a1,a7),f5(a1,a8))+~P6(f6(a1,a8),f6(a1,a7))),
% 29.56/29.67     inference(scs_inference,[],[803,187])).
% 29.56/29.67  cnf(805,plain,
% 29.56/29.67     (~E(f5(a1,a7),f5(a1,a8))+~P6(f6(a1,a8),f6(a1,a7))),
% 29.56/29.67     inference(scs_inference,[],[804,33])).
% 29.56/29.67  cnf(806,plain,
% 29.56/29.67     (~E(f5(a1,a8),f5(a1,a7))+~P6(f6(a1,a8),f6(a1,a7))),
% 29.56/29.67     inference(scs_inference,[],[805,2])).
% 29.56/29.67  cnf(807,plain,
% 29.56/29.67     (~E(x8071,f5(a1,a7))+~E(f5(a1,a8),x8071)+~P6(f6(a1,a8),f6(a1,a7))),
% 29.56/29.67     inference(scs_inference,[],[806,3])).
% 29.56/29.67  cnf(808,plain,
% 29.56/29.67     (~E(f5(x8081,a8),f5(a1,a7))+~E(a1,x8081)+~P6(f6(a1,a8),f6(a1,a7))),
% 29.56/29.67     inference(scs_inference,[],[807,6])).
% 29.56/29.67  cnf(809,plain,
% 29.56/29.67     (~P4(f6(a1,a7),f6(a1,a8))+~E(f5(x8091,a8),f5(a1,a7))+~E(a1,x8091)),
% 29.56/29.67     inference(scs_inference,[],[808,36])).
% 29.56/29.67  cnf(810,plain,
% 29.56/29.67     (~E(f5(x8101,a8),f5(a1,a7))+~P4(f4(a1,a7),f4(a1,a8))+~E(a1,x8101)),
% 29.56/29.67     inference(scs_inference,[],[809,91])).
% 29.56/29.67  cnf(819,plain,
% 29.56/29.67     (P3(f9(a1,a7),f9(a1,a8))),
% 29.56/29.67     inference(scs_inference,[],[37,49])).
% 29.56/29.67  cnf(822,plain,
% 29.56/29.67     (~P4(f5(a1,a7),f5(a1,a8))+~P4(f4(a1,a7),f4(a1,a8))),
% 29.56/29.67     inference(scs_inference,[],[37,98])).
% 29.56/29.67  cnf(824,plain,
% 29.56/29.67     (E(f9(a1,a7),f9(a1,a8))+P4(f9(a1,a7),f9(a1,a8))),
% 29.56/29.67     inference(scs_inference,[],[819,25,40])).
% 29.56/29.67  cnf(826,plain,
% 29.56/29.67     (E(f9(a1,a7),f9(a1,a8))+P4(x8261,f9(a1,a8))+~E(f9(a1,a7),x8261)),
% 29.56/29.67     inference(scs_inference,[],[819,25,40,23])).
% 29.56/29.67  cnf(829,plain,
% 29.56/29.67     (~P4(f9(a1,a7),f9(a1,a8))+~P4(f4(a1,a7),f4(a1,a8))),
% 29.56/29.67     inference(scs_inference,[],[822,92])).
% 29.56/29.67  cnf(832,plain,
% 29.56/29.67     (P3(f4(a1,a7),f4(a1,a8))),
% 29.56/29.67     inference(scs_inference,[],[37,50])).
% 29.56/29.67  cnf(835,plain,
% 29.56/29.67     (~P4(f5(a1,a7),f5(a1,a8))+P4(f9(a1,a7),f9(a1,a8))),
% 29.56/29.67     inference(scs_inference,[],[37,185])).
% 29.56/29.67  cnf(837,plain,
% 29.56/29.67     (E(f4(a1,a7),f4(a1,a8))+P4(f4(a1,a7),f4(a1,a8))),
% 29.56/29.67     inference(scs_inference,[],[832,25,40])).
% 29.56/29.67  cnf(880,plain,
% 29.56/29.67     (~P6(f9(a1,x8801),f9(a1,x8801))+P4(f5(a1,x8801),f5(a1,x8801))),
% 29.56/29.67     inference(scs_inference,[],[377,27,38,62])).
% 29.56/29.67  cnf(881,plain,
% 29.56/29.67     (~P6(f9(a1,x8811),f9(a1,x8811))),
% 29.56/29.67     inference(scs_inference,[],[880,41])).
% 29.56/29.67  cnf(882,plain,
% 29.56/29.67     (~P4(f9(a1,x8821),f9(a1,x8821))),
% 29.56/29.67     inference(scs_inference,[],[881,36])).
% 29.56/29.67  cnf(884,plain,
% 29.56/29.67     (~E(f9(a1,a7),f9(a1,a8))+E(f9(a1,a7),f9(a1,a8))),
% 29.56/29.67     inference(scs_inference,[],[881,36,826])).
% 29.56/29.67  cnf(974,plain,
% 29.56/29.67     (~P6(f5(a1,a8),f5(a1,a7))+~P3(f6(a1,a7),f6(a1,a8))),
% 29.56/29.67     inference(scs_inference,[],[31,30,27,29,38,64])).
% 29.56/29.67  cnf(977,plain,
% 29.56/29.67     (~P6(f5(a1,a8),f5(a1,a7))+~E(f6(a1,a8),f6(a1,a7))),
% 29.56/29.67     inference(scs_inference,[],[974,380])).
% 29.56/29.67  cnf(978,plain,
% 29.56/29.67     (~P6(f5(a1,a8),f5(a1,a7))+~E(f4(a1,a8),f4(a1,a7))),
% 29.56/29.67     inference(scs_inference,[],[977,130])).
% 29.56/29.67  cnf(979,plain,
% 29.56/29.67     (P4(f5(a1,a8),f5(a1,a7))+E(f5(a1,a8),f5(a1,a7))+~E(f4(a1,a8),f4(a1,a7))),
% 29.56/29.67     inference(scs_inference,[],[978,34])).
% 29.56/29.67  cnf(988,plain,
% 29.56/29.67     (P4(f4(a1,a8),f4(a1,a7))+~P3(f4(a1,a8),f4(a1,a7))),
% 29.56/29.67     inference(scs_inference,[],[38,763])).
% 29.56/29.67  cnf(989,plain,
% 29.56/29.67     (~P3(f4(a1,a8),f4(a1,a7))+~E(f4(a1,a7),f4(a1,a8))),
% 29.56/29.67     inference(scs_inference,[],[988,148])).
% 29.56/29.67  cnf(1283,plain,
% 29.56/29.67     (~E(f9(a1,a7),f9(a1,a8))+~E(f2(a1,a7),f2(a1,a8))),
% 29.56/29.67     inference(scs_inference,[],[882,23,835,770,628,618,185,51,979,810,771,670,663,625,624,623,621,619,614])).
% 29.56/29.67  cnf(1311,plain,
% 29.56/29.67     (~E(f2(a1,a7),f2(a1,a8))+P4(f9(a1,a7),f9(a1,a8))),
% 29.56/29.67     inference(scs_inference,[],[1283,824])).
% 29.56/29.67  cnf(1629,plain,
% 29.56/29.67     (~E(f4(a1,a7),f4(a1,a8))),
% 29.56/29.67     inference(scs_inference,[],[380,989])).
% 29.56/29.67  cnf(1630,plain,
% 29.56/29.67     (P4(f4(a1,a7),f4(a1,a8))),
% 29.56/29.67     inference(scs_inference,[],[1629,837])).
% 29.56/29.67  cnf(1642,plain,
% 29.56/29.67     (~P4(f9(a1,a7),f9(a1,a8))),
% 29.56/29.67     inference(scs_inference,[],[1630,829])).
% 29.56/29.67  cnf(1670,plain,
% 29.56/29.67     (E(f9(a1,a7),f9(a1,a8))),
% 29.56/29.67     inference(scs_inference,[],[1642,824])).
% 29.56/29.67  cnf(1672,plain,
% 29.56/29.67     (~P4(f5(a1,a7),f5(a1,a8))),
% 29.56/29.67     inference(scs_inference,[],[1642,835])).
% 29.56/29.67  cnf(1680,plain,
% 29.56/29.67     (~E(f2(a1,a7),f2(a1,a8))),
% 29.56/29.67     inference(scs_inference,[],[1642,1311])).
% 29.56/29.67  cnf(1750,plain,
% 29.56/29.67     (P4(f2(a1,a8),f2(a1,a7))),
% 29.56/29.67     inference(scs_inference,[],[1680,189])).
% 29.56/29.67  cnf(1798,plain,
% 29.56/29.67     (E(f9(a1,a7),f9(a1,a8))),
% 29.56/29.67     inference(scs_inference,[],[1670,884])).
% 29.56/29.67  cnf(1875,plain,
% 29.56/29.67     ($false),
% 29.56/29.67     inference(scs_inference,[],[1672,1798,1750,376,32,521,114]),
% 29.56/29.67     ['proof']).
% 29.56/29.67  % SZS output end Proof
% 29.56/29.67  % Total time :29.000000s
%------------------------------------------------------------------------------