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CSE---1.7.THM-Ass.s

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%------------------------------------------------------------------------------
% File     : CSE---1.7
% Problem  : MGT060+1 : TPTP v9.3.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s

% Computer : n008.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep  8 06:04:22 AM UTC 2026

% Result   : Theorem 5.06s 5.25s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem    : MGT060+1 : TPTP v9.3.0. Released v2.4.0.
% 0.00/0.03  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.10/0.36  % Computer : n008.cluster.edu
% 0.10/0.36  % Model    : x86_64 x86_64
% 0.10/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36  % Memory   : 8046.5625MB
% 0.10/0.36  % OS       : Linux 6.8.0-71-generic
% 0.10/0.36  % CPULimit   : 300
% 0.10/0.36  % WCLimit    : 300
% 0.10/0.36  % DateTime   : Mon Sep  7 13:34:53 UTC 2026
% 0.10/0.36  % CPUTime    : 
% 0.25/0.53  start to proof:theBenchmark
% 5.06/5.24  %-------------------------------------------
% 5.06/5.24  % File        :CSE---1.7
% 5.06/5.24  % Problem     :theBenchmark
% 5.06/5.24  % Transform   :cnf
% 5.06/5.24  % Format      :tptp:raw
% 5.06/5.24  % Command     :java -jar mcs_scs.jar %d %s
% 5.06/5.24  
% 5.06/5.24  % Result      :Theorem 4.735186s
% 5.06/5.24  % Output      :CNFRefutation 4.735186s
% 5.06/5.24  %-------------------------------------------
% 5.06/5.25  %--------------------------------------------------------------------------
% 5.06/5.25  % File     : MGT060+1 : TPTP v9.3.0. Released v2.4.0.
% 5.06/5.25  % Domain   : Management (Organisation Theory)
% 5.06/5.25  % Problem  : Hazard of mortality is lower during periods of immunity
% 5.06/5.25  % Version  : [Han98] axioms.
% 5.06/5.25  % English  : An organization's hazard of mortality is lower during periods in
% 5.06/5.25  %            which it has immunity than in periods in which it does not.
% 5.06/5.25  
% 5.06/5.25  % Refs     : [Kam00] Kamps (2000), Email to G. Sutcliffe
% 5.06/5.25  %          : [CH00]  Carroll & Hannan (2000), The Demography of Corporation
% 5.06/5.25  %          : [Han98] Hannan (1998), Rethinking Age Dependence in Organizati
% 5.06/5.25  % Source   : [Kam00]
% 5.06/5.25  % Names    : ASSUMPTION 3 [Han98]
% 5.06/5.25  
% 5.06/5.25  % Status   : Theorem
% 5.06/5.25  % Rating   : 0.13 v9.3.0, 0.18 v9.0.0, 0.19 v8.2.0, 0.17 v8.1.0, 0.14 v7.5.0, 0.16 v7.4.0, 0.17 v7.3.0, 0.14 v7.2.0, 0.10 v7.1.0, 0.17 v7.0.0, 0.13 v6.4.0, 0.19 v6.3.0, 0.21 v6.2.0, 0.24 v6.1.0, 0.27 v6.0.0, 0.22 v5.5.0, 0.19 v5.4.0, 0.25 v5.3.0, 0.30 v5.2.0, 0.25 v5.1.0, 0.24 v5.0.0, 0.25 v4.1.0, 0.26 v4.0.0, 0.25 v3.5.0, 0.21 v3.2.0, 0.18 v3.1.0, 0.33 v2.4.0
% 5.06/5.25  % Syntax   : Number of formulae    :   13 (   5 unt;   0 def)
% 5.06/5.25  %            Number of atoms       :   41 (   8 equ)
% 5.06/5.25  %            Maximal formula atoms :   16 (   3 avg)
% 5.06/5.25  %            Number of connectives :   35 (   7   ~;   4   |;  12   &)
% 5.06/5.25  %                                         (   3 <=>;   9  =>;   0  <=;   0 <~>)
% 5.06/5.25  %            Maximal formula depth :   12 (   4 avg)
% 5.06/5.25  %            Maximal term depth    :    2 (   1 avg)
% 5.06/5.25  %            Number of predicates  :    9 (   8 usr;   0 prp; 1-2 aty)
% 5.06/5.25  %            Number of functors    :    6 (   6 usr;   5 con; 0-2 aty)
% 5.06/5.25  %            Number of variables   :   18 (  18   !;   0   ?)
% 5.06/5.25  % SPC      : FOF_THM_RFO_SEQ
% 5.06/5.25  
% 5.06/5.25  % Comments : See MGT042+1.p for the mnemonic names.
% 5.06/5.25  %--------------------------------------------------------------------------
% 5.06/5.25  include('Axioms/MGT001+0.ax').
% 5.06/5.25  %--------------------------------------------------------------------------
% 5.06/5.25  %----Problem Axioms
% 5.06/5.25  %----An organization's immunity. alignment of capability with the
% 5.06/5.25  %----current state of the environment and positional advantage jointly
% 5.06/5.25  %----affect the hazard of mortality with the following ordinal scaling:
% 5.06/5.25  fof(assumption_17,axiom,
% 5.06/5.25      ! [X,T] :
% 5.06/5.25        ( organization(X)
% 5.06/5.25       => ( ( has_immunity(X,T)
% 5.06/5.25           => hazard_of_mortality(X,T) = very_low )
% 5.06/5.25          & ( ~ has_immunity(X,T)
% 5.06/5.25           => ( ( ( is_aligned(X,T)
% 5.06/5.25                  & positional_advantage(X,T) )
% 5.06/5.25               => hazard_of_mortality(X,T) = low )
% 5.06/5.25              & ( ( ~ is_aligned(X,T)
% 5.06/5.25                  & positional_advantage(X,T) )
% 5.06/5.25               => hazard_of_mortality(X,T) = mod1 )
% 5.06/5.25              & ( ( is_aligned(X,T)
% 5.06/5.25                  & ~ positional_advantage(X,T) )
% 5.06/5.25               => hazard_of_mortality(X,T) = mod2 )
% 5.06/5.25              & ( ( ~ is_aligned(X,T)
% 5.06/5.25                  & ~ positional_advantage(X,T) )
% 5.06/5.25               => hazard_of_mortality(X,T) = high ) ) ) ) ) ).
% 5.06/5.25  
% 5.06/5.25  %----The levels of hazard of mortality are ordered:
% 5.06/5.25  %----
% 5.06/5.25  %----Split over 5 separate formulas because TPTP gives an error on top
% 5.06/5.25  %----level occurrences of `&'.
% 5.06/5.25  fof(assumption_18a,axiom,
% 5.06/5.25      greater(high,mod1) ).
% 5.06/5.25  
% 5.06/5.25  fof(assumption_18b,axiom,
% 5.06/5.25      greater(mod1,low) ).
% 5.06/5.25  
% 5.06/5.25  fof(assumption_18c,axiom,
% 5.06/5.25      greater(low,very_low) ).
% 5.06/5.25  
% 5.06/5.25  fof(assumption_18d,axiom,
% 5.06/5.25      greater(high,mod2) ).
% 5.06/5.25  
% 5.06/5.25  fof(assumption_18e,axiom,
% 5.06/5.25      greater(mod2,low) ).
% 5.06/5.25  
% 5.06/5.25  %----Problem theorems
% 5.06/5.25  %----Text says on p.152 ``These assumptions [A17,A18] have the same effect
% 5.06/5.25  %----  as assumptions 2 and 3 in the formalization used in section III.''
% 5.06/5.25  %----This is indeed the case for these assumptions are now derivable.
% 5.06/5.25  %----A3 from A17, A18a,b,c,e (also needs D<, MP>str, MP>com, MP>tra).
% 5.06/5.25  %----
% 5.06/5.25  %----An organization's hazard of mortality is lower during periods in
% 5.06/5.25  %----which it has immunity than in periods in which it does not.
% 5.06/5.25  fof(assumption_3,conjecture,
% 5.06/5.25      ! [X,T0,T] :
% 5.06/5.25        ( ( organization(X)
% 5.06/5.25          & has_immunity(X,T0)
% 5.06/5.25          & ~ has_immunity(X,T) )
% 5.06/5.25       => greater(hazard_of_mortality(X,T),hazard_of_mortality(X,T0)) ) ).
% 5.06/5.25  
% 5.06/5.25  %--------------------------------------------------------------------------
% 5.06/5.25  %-------------------------------------------
% 5.06/5.25  % Proof found
% 5.06/5.25  % SZS status Theorem for theBenchmark
% 5.06/5.25  % SZS output start Proof
% 5.06/5.25  %ClaNum:48(EqnAxiom:22)
% 5.06/5.25  %VarNum:94(SingletonVarNum:35)
% 5.06/5.25  %MaxLitNum:4
% 5.06/5.25  %MaxfuncDepth:1
% 5.06/5.25  %SharedTerms:19
% 5.06/5.25  %goalClause: 23 29 30 31
% 5.06/5.25  %singleGoalClaCount:4
% 5.06/5.25  [23]P1(a1)
% 5.06/5.25  [24]P2(a2,a7)
% 5.06/5.25  [25]P2(a8,a2)
% 5.06/5.25  [26]P2(a9,a2)
% 5.06/5.25  [27]P2(a3,a8)
% 5.06/5.25  [28]P2(a3,a9)
% 5.06/5.25  [29]P4(a1,a4)
% 5.06/5.25  [30]~P4(a1,a5)
% 5.06/5.25  [31]~P2(f6(a1,a5),f6(a1,a4))
% 5.06/5.25  [32]~E(x321,x322)+P7(x321,x322)
% 5.06/5.25  [33]~E(x331,x332)+P5(x331,x332)
% 5.06/5.25  [36]~P8(x361,x362)+P7(x361,x362)
% 5.06/5.25  [37]~P2(x372,x371)+P8(x371,x372)
% 5.06/5.25  [38]~P2(x381,x382)+P5(x381,x382)
% 5.06/5.25  [39]~P8(x392,x391)+P2(x391,x392)
% 5.06/5.25  [43]~P2(x432,x431)+~P2(x431,x432)
% 5.06/5.25  [34]P8(x341,x342)+P2(x341,x342)+E(x341,x342)
% 5.06/5.25  [35]P3(x351,x352)+~P1(x351)+P4(x351,x352)
% 5.06/5.25  [40]P8(x401,x402)+~P7(x401,x402)+E(x401,x402)
% 5.06/5.25  [41]P2(x411,x412)+~P5(x411,x412)+E(x411,x412)
% 5.06/5.25  [42]~P1(x421)+~P4(x421,x422)+E(f6(x421,x422),a7)
% 5.06/5.25  [44]~P2(x441,x443)+P2(x441,x442)+~P2(x443,x442)
% 5.06/5.25  [45]P6(x451,x452)+P9(x451,x452)+~P3(x451,x452)+E(f6(x451,x452),a3)
% 5.06/5.25  [46]P6(x461,x462)+~P9(x461,x462)+~P3(x461,x462)+E(f6(x461,x462),a8)
% 5.06/5.25  [47]P9(x471,x472)+~P6(x471,x472)+~P3(x471,x472)+E(f6(x471,x472),a9)
% 5.06/5.25  [48]~P6(x481,x482)+~P9(x481,x482)+~P3(x481,x482)+E(f6(x481,x482),a2)
% 5.06/5.25  %EqnAxiom
% 5.06/5.25  [1]E(x11,x11)
% 5.06/5.25  [2]E(x22,x21)+~E(x21,x22)
% 5.06/5.25  [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 5.06/5.25  [4]~E(x41,x42)+E(f6(x41,x43),f6(x42,x43))
% 5.06/5.25  [5]~E(x51,x52)+E(f6(x53,x51),f6(x53,x52))
% 5.06/5.25  [6]~P1(x61)+P1(x62)+~E(x61,x62)
% 5.06/5.25  [7]P2(x72,x73)+~E(x71,x72)+~P2(x71,x73)
% 5.06/5.25  [8]P2(x83,x82)+~E(x81,x82)+~P2(x83,x81)
% 5.06/5.25  [9]P6(x92,x93)+~E(x91,x92)+~P6(x91,x93)
% 5.06/5.25  [10]P6(x103,x102)+~E(x101,x102)+~P6(x103,x101)
% 5.06/5.25  [11]P3(x112,x113)+~E(x111,x112)+~P3(x111,x113)
% 5.06/5.25  [12]P3(x123,x122)+~E(x121,x122)+~P3(x123,x121)
% 5.06/5.25  [13]P4(x132,x133)+~E(x131,x132)+~P4(x131,x133)
% 5.06/5.25  [14]P4(x143,x142)+~E(x141,x142)+~P4(x143,x141)
% 5.06/5.25  [15]P9(x152,x153)+~E(x151,x152)+~P9(x151,x153)
% 5.06/5.25  [16]P9(x163,x162)+~E(x161,x162)+~P9(x163,x161)
% 5.06/5.25  [17]P8(x172,x173)+~E(x171,x172)+~P8(x171,x173)
% 5.06/5.25  [18]P8(x183,x182)+~E(x181,x182)+~P8(x183,x181)
% 5.06/5.25  [19]P7(x192,x193)+~E(x191,x192)+~P7(x191,x193)
% 5.06/5.25  [20]P7(x203,x202)+~E(x201,x202)+~P7(x203,x201)
% 5.06/5.26  [21]P5(x212,x213)+~E(x211,x212)+~P5(x211,x213)
% 5.06/5.26  [22]P5(x223,x222)+~E(x221,x222)+~P5(x223,x221)
% 5.06/5.26  
% 5.06/5.26  %-------------------------------------------
% 5.06/5.26  cnf(49,plain,
% 5.06/5.26     (P7(x491,x491)),
% 5.06/5.26     inference(equality_inference,[],[32])).
% 5.06/5.26  cnf(50,plain,
% 5.06/5.26     (P5(x501,x501)),
% 5.06/5.26     inference(equality_inference,[],[33])).
% 5.06/5.26  cnf(51,plain,
% 5.06/5.26     (~P8(f6(a1,a4),f6(a1,a5))),
% 5.06/5.26     inference(scs_inference,[],[31,39])).
% 5.06/5.26  cnf(53,plain,
% 5.06/5.26     (~P2(a7,a2)),
% 5.06/5.26     inference(scs_inference,[],[31,24,39,43])).
% 5.06/5.26  cnf(55,plain,
% 5.06/5.26     (P3(a1,a5)),
% 5.06/5.26     inference(scs_inference,[],[23,30,31,24,39,43,35])).
% 5.06/5.26  cnf(57,plain,
% 5.06/5.26     (P2(a8,a7)),
% 5.06/5.26     inference(scs_inference,[],[23,30,31,24,25,39,43,35,44])).
% 5.06/5.26  cnf(60,plain,
% 5.06/5.26     (~E(a8,a7)),
% 5.06/5.26     inference(scs_inference,[],[23,29,30,31,24,25,39,43,35,44,14,7])).
% 5.06/5.26  cnf(64,plain,
% 5.06/5.26     (P7(x641,x641)),
% 5.06/5.26     inference(rename_variables,[],[49])).
% 5.06/5.26  cnf(68,plain,
% 5.06/5.26     (P5(x681,x681)),
% 5.06/5.26     inference(rename_variables,[],[50])).
% 5.06/5.26  cnf(71,plain,
% 5.06/5.26     (E(f6(a1,a4),f6(a1,a5))+P8(f6(a1,a5),f6(a1,a4))),
% 5.06/5.26     inference(scs_inference,[],[23,29,30,31,49,64,50,68,24,25,39,43,35,44,14,7,34,19,20,21,22,2])).
% 5.06/5.26  cnf(77,plain,
% 5.06/5.26     (~P2(a7,a8)),
% 5.06/5.26     inference(scs_inference,[],[57,53,39,43])).
% 5.06/5.26  cnf(79,plain,
% 5.06/5.26     (P2(a3,a7)),
% 5.06/5.26     inference(scs_inference,[],[57,27,53,39,43,44])).
% 5.06/5.26  cnf(83,plain,
% 5.06/5.26     (E(a7,a2)+P8(a7,a2)),
% 5.06/5.26     inference(scs_inference,[],[55,57,26,27,53,39,43,44,7,12,34])).
% 5.06/5.26  cnf(85,plain,
% 5.06/5.26     (P2(a9,x851)+~E(a2,x851)),
% 5.06/5.26     inference(scs_inference,[],[55,57,26,27,53,39,43,44,7,12,34,8])).
% 5.06/5.26  cnf(88,plain,
% 5.06/5.26     (P7(x881,x881)),
% 5.06/5.26     inference(rename_variables,[],[49])).
% 5.06/5.26  cnf(89,plain,
% 5.06/5.26     (P7(a7,a2)+P8(a7,a2)),
% 5.06/5.26     inference(scs_inference,[],[55,29,57,26,27,53,49,88,39,43,44,7,12,34,8,13,19,20])).
% 5.06/5.26  cnf(99,plain,
% 5.06/5.26     (~P2(a7,a3)),
% 5.06/5.26     inference(scs_inference,[],[79,77,39,43])).
% 5.06/5.26  cnf(101,plain,
% 5.06/5.26     (P2(a3,a2)),
% 5.06/5.26     inference(scs_inference,[],[79,77,27,25,39,43,44])).
% 5.06/5.26  cnf(118,plain,
% 5.06/5.26     (~P2(a2,a3)),
% 5.06/5.26     inference(scs_inference,[],[101,99,39,43])).
% 5.06/5.26  cnf(127,plain,
% 5.06/5.26     (P7(x1271,x1272)+~E(x1272,x1271)),
% 5.06/5.26     inference(scs_inference,[],[101,79,99,49,24,39,43,8,44,34,17,18,19])).
% 5.06/5.26  cnf(128,plain,
% 5.06/5.26     (P5(x1281,x1282)+~E(x1282,x1281)),
% 5.06/5.26     inference(scs_inference,[],[101,79,50,99,49,24,39,43,8,44,34,17,18,19,21])).
% 5.06/5.26  cnf(136,plain,
% 5.06/5.26     (~P2(a2,a9)),
% 5.06/5.26     inference(scs_inference,[],[26,118,39,43])).
% 5.06/5.26  cnf(138,plain,
% 5.06/5.26     (~E(a3,a2)),
% 5.06/5.26     inference(scs_inference,[],[26,28,118,39,43,7])).
% 5.06/5.26  cnf(139,plain,
% 5.06/5.26     (E(a2,a3)+P8(a2,a3)),
% 5.06/5.26     inference(scs_inference,[],[26,28,118,39,43,7,34])).
% 5.06/5.26  cnf(156,plain,
% 5.06/5.26     (~P2(a2,a8)),
% 5.06/5.26     inference(scs_inference,[],[25,136,39,43])).
% 5.06/5.26  cnf(158,plain,
% 5.06/5.26     (~E(a7,a9)),
% 5.06/5.26     inference(scs_inference,[],[25,24,136,39,43,8])).
% 5.06/5.26  cnf(162,plain,
% 5.06/5.26     (P5(x1621,x1621)),
% 5.06/5.26     inference(rename_variables,[],[50])).
% 5.06/5.26  cnf(167,plain,
% 5.06/5.26     (P7(x1671,x1671)),
% 5.06/5.26     inference(rename_variables,[],[49])).
% 5.06/5.26  cnf(168,plain,
% 5.06/5.26     (P7(a2,a9)+P8(a2,a9)),
% 5.06/5.26     inference(scs_inference,[],[50,162,25,24,49,167,136,39,43,8,34,22,7,21,19,20])).
% 5.06/5.26  cnf(181,plain,
% 5.06/5.26     (P8(a2,a3)),
% 5.06/5.26     inference(scs_inference,[],[25,27,156,39,43,8,139])).
% 5.06/5.26  cnf(226,plain,
% 5.06/5.26     (P5(x2261,x2261)),
% 5.06/5.26     inference(rename_variables,[],[50])).
% 5.06/5.26  cnf(228,plain,
% 5.06/5.26     (P7(x2281,x2281)),
% 5.06/5.26     inference(rename_variables,[],[49])).
% 5.06/5.26  cnf(231,plain,
% 5.06/5.26     (P7(a2,a8)+P8(a2,a8)),
% 5.06/5.26     inference(scs_inference,[],[181,50,226,49,228,156,34,17,22,19,21,20])).
% 5.06/5.26  cnf(236,plain,
% 5.06/5.26     (E(a8,a2)+P8(a2,a8)),
% 5.06/5.26     inference(scs_inference,[],[181,50,226,49,228,156,34,17,22,19,21,20,85,43,2])).
% 5.06/5.26  cnf(240,plain,
% 5.06/5.26     (~E(a7,f6(a1,a4))+~E(a8,f6(a1,a5))),
% 5.06/5.26     inference(scs_inference,[],[31,57,7,8])).
% 5.06/5.26  cnf(247,plain,
% 5.06/5.26     (~E(a7,f6(a1,a4))+~E(a3,f6(a1,a5))),
% 5.06/5.26     inference(scs_inference,[],[31,79,7,8])).
% 5.06/5.26  cnf(287,plain,
% 5.06/5.26     (P7(a7,a2)),
% 5.06/5.26     inference(scs_inference,[],[89,36])).
% 5.06/5.26  cnf(297,plain,
% 5.06/5.26     (P2(a9,a7)),
% 5.06/5.26     inference(scs_inference,[],[26,24,44])).
% 5.06/5.26  cnf(301,plain,
% 5.06/5.26     (P8(a7,a9)),
% 5.06/5.26     inference(scs_inference,[],[26,24,158,44,43,34])).
% 5.06/5.26  cnf(306,plain,
% 5.06/5.26     (~E(a7,f6(a1,a4))+~E(a9,f6(a1,a5))),
% 5.06/5.26     inference(scs_inference,[],[26,51,24,158,44,43,34,18,39,17])).
% 5.06/5.26  cnf(319,plain,
% 5.06/5.26     (P7(a2,a9)),
% 5.06/5.26     inference(scs_inference,[],[168,36])).
% 5.06/5.26  cnf(361,plain,
% 5.06/5.26     (P7(a2,a8)),
% 5.06/5.26     inference(scs_inference,[],[231,36])).
% 5.06/5.26  cnf(363,plain,
% 5.06/5.26     (P7(x3631,a8)+~E(a2,x3631)),
% 5.06/5.26     inference(scs_inference,[],[361,20,19])).
% 5.06/5.26  cnf(368,plain,
% 5.06/5.26     (P8(a2,a8)+~E(a2,a7)),
% 5.06/5.26     inference(scs_inference,[],[60,236,3])).
% 5.06/5.26  cnf(372,plain,
% 5.06/5.26     (P8(a2,a8)+~E(a7,a2)),
% 5.06/5.26     inference(scs_inference,[],[368,2])).
% 5.06/5.26  cnf(375,plain,
% 5.06/5.26     (P8(a2,a8)+P8(a7,a2)),
% 5.06/5.26     inference(scs_inference,[],[372,83])).
% 5.06/5.26  cnf(376,plain,
% 5.06/5.26     (P8(a2,a8)+P8(a7,x3761)+~E(a2,x3761)),
% 5.06/5.26     inference(scs_inference,[],[375,18])).
% 5.06/5.26  cnf(395,plain,
% 5.06/5.26     (~E(f6(a1,a5),a8)+~E(a7,f6(a1,a4))),
% 5.06/5.26     inference(scs_inference,[],[240,2])).
% 5.06/5.26  cnf(397,plain,
% 5.06/5.26     (~E(f6(a1,a5),a3)+~E(a7,f6(a1,a4))),
% 5.06/5.26     inference(scs_inference,[],[247,2])).
% 5.06/5.26  cnf(399,plain,
% 5.06/5.26     (~E(f6(a1,a4),a7)+~E(a9,f6(a1,a5))),
% 5.06/5.26     inference(scs_inference,[],[306,2])).
% 5.06/5.26  cnf(402,plain,
% 5.06/5.26     (~E(f6(a1,a4),a7)+~E(f6(a1,a5),a8)),
% 5.06/5.26     inference(scs_inference,[],[395,2])).
% 5.06/5.26  cnf(404,plain,
% 5.06/5.26     (~E(f6(a1,a4),a7)+~E(f6(a1,a5),a3)),
% 5.06/5.26     inference(scs_inference,[],[397,2])).
% 5.06/5.26  cnf(406,plain,
% 5.06/5.26     (~E(f6(a1,a5),a9)+~E(f6(a1,a4),a7)),
% 5.06/5.26     inference(scs_inference,[],[399,2])).
% 5.06/5.26  cnf(407,plain,
% 5.06/5.26     (~E(f6(a1,a5),a8)),
% 5.06/5.26     inference(scs_inference,[],[23,29,402,42])).
% 5.06/5.26  cnf(412,plain,
% 5.06/5.26     (~E(f6(a1,a5),a3)),
% 5.06/5.26     inference(scs_inference,[],[23,29,404,42])).
% 5.06/5.26  cnf(415,plain,
% 5.06/5.26     (P6(a1,a5)),
% 5.06/5.26     inference(scs_inference,[],[55,407,412,45,46])).
% 5.06/5.26  cnf(418,plain,
% 5.06/5.26     (~E(f6(a1,a5),a9)),
% 5.06/5.26     inference(scs_inference,[],[23,29,406,42])).
% 5.06/5.26  cnf(434,plain,
% 5.06/5.26     (P7(f6(a1,a5),f6(a1,a4))+E(f6(a1,a4),f6(a1,a5))),
% 5.06/5.26     inference(scs_inference,[],[71,36])).
% 5.06/5.26  cnf(449,plain,
% 5.06/5.26     (E(f6(a1,a5),a2)),
% 5.06/5.26     inference(scs_inference,[],[55,415,418,48,47])).
% 5.06/5.26  cnf(452,plain,
% 5.06/5.26     (E(a2,f6(a1,a5))),
% 5.06/5.26     inference(scs_inference,[],[449,127,128,2])).
% 5.06/5.26  cnf(455,plain,
% 5.06/5.26     (P2(f6(a1,a5),a7)),
% 5.06/5.26     inference(scs_inference,[],[181,24,449,138,127,128,2,3,17,7])).
% 5.06/5.26  cnf(456,plain,
% 5.06/5.26     (P2(a3,f6(a1,a5))),
% 5.06/5.26     inference(scs_inference,[],[101,181,24,449,138,127,128,2,3,17,7,8])).
% 5.06/5.26  cnf(459,plain,
% 5.06/5.26     (P7(f6(a1,a5),a8)),
% 5.06/5.26     inference(scs_inference,[],[101,181,287,319,24,449,138,127,128,2,3,17,7,8,20,19,363])).
% 5.06/5.26  cnf(467,plain,
% 5.06/5.26     (~P8(f6(a1,a5),a7)),
% 5.06/5.26     inference(scs_inference,[],[101,181,287,319,24,449,418,138,127,128,2,3,17,7,8,20,19,363,85,43,376,40,39])).
% 5.06/5.26  cnf(479,plain,
% 5.06/5.26     (~E(a7,f6(a1,a4))),
% 5.06/5.26     inference(scs_inference,[],[31,407,455,456,452,459,128,127,43,40,8])).
% 5.06/5.26  cnf(697,plain,
% 5.06/5.26     (P7(f6(a1,a4),a7)),
% 5.06/5.26     inference(scs_inference,[],[23,29,32,42])).
% 5.06/5.26  cnf(698,plain,
% 5.06/5.26     (E(f6(a1,a4),a7)+P8(f6(a1,a4),a7)),
% 5.06/5.26     inference(scs_inference,[],[697,40])).
% 5.06/5.26  cnf(706,plain,
% 5.06/5.26     (P2(a7,f6(a1,a4))+E(f6(a1,a4),a7)),
% 5.06/5.26     inference(scs_inference,[],[698,39])).
% 5.06/5.26  cnf(723,plain,
% 5.06/5.26     (P2(a7,f6(a1,a4))),
% 5.06/5.26     inference(scs_inference,[],[479,706,2])).
% 5.06/5.26  cnf(724,plain,
% 5.06/5.26     (~P2(f6(a1,a4),a7)),
% 5.06/5.26     inference(scs_inference,[],[723,43])).
% 5.06/5.26  cnf(726,plain,
% 5.06/5.26     (~P2(f6(a1,a4),a3)),
% 5.06/5.26     inference(scs_inference,[],[79,723,43,44])).
% 5.06/5.26  cnf(729,plain,
% 5.06/5.26     (~E(f6(a1,a4),a2)),
% 5.06/5.26     inference(scs_inference,[],[79,723,53,43,44,7,8])).
% 5.06/5.26  cnf(730,plain,
% 5.06/5.26     (~P8(a7,f6(a1,a4))),
% 5.06/5.26     inference(scs_inference,[],[79,723,53,43,44,7,8,39])).
% 5.06/5.26  cnf(746,plain,
% 5.06/5.26     (~P2(f6(a1,a4),a8)),
% 5.06/5.26     inference(scs_inference,[],[57,726,724,39,44])).
% 5.06/5.26  cnf(751,plain,
% 5.06/5.26     (P8(f6(a1,a5),f6(a1,a4))),
% 5.06/5.26     inference(scs_inference,[],[57,301,726,730,449,729,724,39,44,3,7,18,71])).
% 5.06/5.26  cnf(752,plain,
% 5.06/5.26     (P7(f6(a1,a5),f6(a1,a4))),
% 5.06/5.26     inference(scs_inference,[],[57,301,726,730,449,729,724,39,44,3,7,18,71,434])).
% 5.06/5.26  cnf(770,plain,
% 5.06/5.26     ($false),
% 5.06/5.26     inference(scs_inference,[],[29,23,297,467,751,746,449,724,752,39,44,18,19,698,42]),
% 5.06/5.26     ['proof']).
% 5.06/5.26  % SZS output end Proof
% 5.06/5.26  % Total time :4.735186s
%------------------------------------------------------------------------------