TSTP Solution File: MGT042+1 by CSE---1.6
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%------------------------------------------------------------------------------
% 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 : n015.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 09:07:00 EDT 2023
% Result : Theorem 21.41s 21.48s
% Output : CNFRefutation 21.45s
% 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.
% 0.00/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.12/0.33 % Computer : n015.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 28 06:52:54 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.52 start to proof:theBenchmark
% 21.41/21.47 %-------------------------------------------
% 21.41/21.47 % File :CSE---1.6
% 21.41/21.47 % Problem :theBenchmark
% 21.41/21.47 % Transform :cnf
% 21.41/21.47 % Format :tptp:raw
% 21.41/21.47 % Command :java -jar mcs_scs.jar %d %s
% 21.41/21.47
% 21.41/21.47 % Result :Theorem 20.890000s
% 21.41/21.47 % Output :CNFRefutation 20.890000s
% 21.41/21.47 %-------------------------------------------
% 21.41/21.47 %--------------------------------------------------------------------------
% 21.41/21.47 % File : MGT042+1 : TPTP v8.1.2. Released v2.4.0.
% 21.41/21.47 % Domain : Management (Organisation Theory)
% 21.41/21.47 % Problem : Conditions for a lower hazard of mortality
% 21.41/21.47 % Version : [Han98] axioms.
% 21.41/21.47 % English : When an organization lacks immunity, increased collective
% 21.41/21.47 % knowledge and superior external ties lower its hazard of
% 21.41/21.47 % mortality when internal friction does not increase.
% 21.41/21.47
% 21.41/21.47 % Refs : [Kam00] Kamps (2000), Email to G. Sutcliffe
% 21.41/21.47 % : [CH00] Carroll & Hannan (2000), The Demography of Corporation
% 21.41/21.47 % : [Han98] Hannan (1998), Rethinking Age Dependence in Organizati
% 21.41/21.47 % Source : [Kam00]
% 21.41/21.47 % Names : LEMMA 1 [Han98]
% 21.41/21.48
% 21.41/21.48 % Status : Theorem
% 21.41/21.48 % Rating : 0.22 v8.1.0, 0.19 v7.5.0, 0.22 v7.4.0, 0.20 v7.3.0, 0.24 v7.2.0, 0.21 v7.1.0, 0.17 v7.0.0, 0.27 v6.4.0, 0.31 v6.3.0, 0.29 v6.2.0, 0.32 v6.1.0, 0.40 v6.0.0, 0.26 v5.5.0, 0.37 v5.4.0, 0.43 v5.3.0, 0.56 v5.2.0, 0.45 v5.1.0, 0.43 v5.0.0, 0.42 v4.1.0, 0.35 v4.0.1, 0.30 v4.0.0, 0.29 v3.7.0, 0.30 v3.5.0, 0.26 v3.4.0, 0.47 v3.3.0, 0.50 v3.2.0, 0.64 v3.1.0, 0.78 v2.7.0, 0.67 v2.6.0, 0.83 v2.4.0
% 21.41/21.48 % Syntax : Number of formulae : 10 ( 0 unt; 0 def)
% 21.41/21.48 % Number of atoms : 54 ( 11 equ)
% 21.41/21.48 % Maximal formula atoms : 12 ( 5 avg)
% 21.41/21.48 % Number of connectives : 49 ( 5 ~; 4 |; 22 &)
% 21.41/21.48 % ( 3 <=>; 15 =>; 0 <=; 0 <~>)
% 21.41/21.48 % Maximal formula depth : 9 ( 6 avg)
% 21.41/21.48 % Maximal term depth : 2 ( 1 avg)
% 21.41/21.48 % Number of predicates : 7 ( 6 usr; 0 prp; 1-2 aty)
% 21.41/21.48 % Number of functors : 6 ( 6 usr; 0 con; 2-2 aty)
% 21.41/21.48 % Number of variables : 25 ( 25 !; 0 ?)
% 21.41/21.48 % SPC : FOF_THM_RFO_SEQ
% 21.41/21.48
% 21.41/21.48 % Comments : The original text uses mnemonic names:
% 21.41/21.48 % Original: C/F/P: Arity: New name:
% 21.41/21.48 % zero-symbol c 0 zero
% 21.41/21.48 % eta-symbol c 0 eta
% 21.41/21.48 % sigma-symbol c 0 sigma
% 21.41/21.48 % tau-symbol c 0 tau
% 21.41/21.48 % very_low c 0 very_low
% 21.41/21.48 % low c 0 low
% 21.41/21.48 % mod1 c 0 mod1
% 21.41/21.48 % mod2 c 0 mod2
% 21.41/21.48 % high c 0 high
% 21.41/21.48 % A f 2 age
% 21.41/21.48 % H f 2 hazard_of_mortality
% 21.41/21.48 % C f 2 capability
% 21.41/21.48 % P f 2 position
% 21.41/21.48 % K f 2 stock_of_knowledge
% 21.41/21.48 % T f 2 external_ties
% 21.41/21.48 % F f 2 internal_friction
% 21.41/21.48 % O p 1 organization
% 21.41/21.48 % EN p 1 has_endowment
% 21.41/21.48 % IM p 2 has_immunity
% 21.41/21.48 % DS p 3 dissimilar
% 21.41/21.48 % AL p 2 is_aligned
% 21.41/21.48 % PA p 2 positional_advantage
% 21.41/21.48 % FG p 1 fragile_position
% 21.41/21.48 % RB p 1 robust_position
% 21.41/21.48 %--------------------------------------------------------------------------
% 21.41/21.48 include('Axioms/MGT001+0.ax').
% 21.41/21.48 %--------------------------------------------------------------------------
% 21.41/21.48 %----Problem Axioms
% 21.41/21.48 %----When an organization lacks immunity, superior capability and
% 21.41/21.48 %----position imply a lower hazard of mortality.
% 21.41/21.48 fof(assumption_4,axiom,
% 21.41/21.48 ! [X,T0,T] :
% 21.41/21.48 ( ( organization(X)
% 21.41/21.48 & ~ has_immunity(X,T0)
% 21.41/21.48 & ~ has_immunity(X,T) )
% 21.41/21.48 => ( ( ( greater(capability(X,T),capability(X,T0))
% 21.41/21.48 & greater_or_equal(position(X,T),position(X,T0)) )
% 21.41/21.48 => smaller(hazard_of_mortality(X,T),hazard_of_mortality(X,T0)) )
% 21.41/21.48 & ( ( greater_or_equal(capability(X,T),capability(X,T0))
% 21.41/21.48 & greater(position(X,T),position(X,T0)) )
% 21.41/21.48 => smaller(hazard_of_mortality(X,T),hazard_of_mortality(X,T0)) )
% 21.41/21.48 & ( ( capability(X,T) = capability(X,T0)
% 21.41/21.48 & position(X,T) = position(X,T0) )
% 21.41/21.48 => hazard_of_mortality(X,T) = hazard_of_mortality(X,T0) ) ) ) ).
% 21.41/21.48
% 21.41/21.48 %----Increased knowledge elevates an organization's capability; and
% 21.41/21.48 %----increased accumulation of organizational internal frictions
% 21.41/21.48 %----diminishes its capability.
% 21.41/21.48 fof(assumption_5,axiom,
% 21.41/21.48 ! [X,T0,T] :
% 21.41/21.48 ( organization(X)
% 21.41/21.48 => ( ( ( greater(stock_of_knowledge(X,T),stock_of_knowledge(X,T0))
% 21.41/21.48 & smaller_or_equal(internal_friction(X,T),internal_friction(X,T0)) )
% 21.41/21.48 => greater(capability(X,T),capability(X,T0)) )
% 21.41/21.48 & ( ( smaller_or_equal(stock_of_knowledge(X,T),stock_of_knowledge(X,T0))
% 21.41/21.48 & greater(internal_friction(X,T),internal_friction(X,T0)) )
% 21.41/21.48 => smaller(capability(X,T),capability(X,T0)) )
% 21.41/21.48 & ( ( stock_of_knowledge(X,T) = stock_of_knowledge(X,T0)
% 21.41/21.48 & internal_friction(X,T) = internal_friction(X,T0) )
% 21.41/21.48 => capability(X,T) = capability(X,T0) ) ) ) ).
% 21.41/21.48
% 21.41/21.48 %----Improved ties with external actors enhance an organization's position.
% 21.41/21.48 fof(assumption_6,axiom,
% 21.41/21.48 ! [X,T0,T] :
% 21.41/21.48 ( organization(X)
% 21.41/21.48 => ( ( greater(external_ties(X,T),external_ties(X,T0))
% 21.41/21.48 => greater(position(X,T),position(X,T0)) )
% 21.41/21.48 & ( external_ties(X,T) = external_ties(X,T0)
% 21.41/21.48 => position(X,T) = position(X,T0) ) ) ) ).
% 21.41/21.48
% 21.41/21.48 %----Problem theorems
% 21.41/21.48 %----When an organization lacks immunity, increased collective
% 21.41/21.48 %----knowledge and superior external ties lower its hazard of
% 21.41/21.48 %----mortality when internal friction does not increase.
% 21.41/21.48 %----From A4, A5, and A6 (text says A1-6; also needs D<, D>=, D<=).
% 21.41/21.48 fof(lemma_1,conjecture,
% 21.41/21.48 ! [X,T0,T] :
% 21.41/21.48 ( ( organization(X)
% 21.41/21.48 & ~ has_immunity(X,T0)
% 21.41/21.48 & ~ has_immunity(X,T) )
% 21.41/21.48 => ( ( ( greater(stock_of_knowledge(X,T),stock_of_knowledge(X,T0))
% 21.41/21.48 & smaller_or_equal(internal_friction(X,T),internal_friction(X,T0))
% 21.41/21.48 & greater_or_equal(external_ties(X,T),external_ties(X,T0)) )
% 21.41/21.48 => smaller(hazard_of_mortality(X,T),hazard_of_mortality(X,T0)) )
% 21.41/21.48 & ( ( greater_or_equal(stock_of_knowledge(X,T),stock_of_knowledge(X,T0))
% 21.41/21.48 & smaller_or_equal(internal_friction(X,T),internal_friction(X,T0))
% 21.41/21.48 & greater(external_ties(X,T),external_ties(X,T0)) )
% 21.41/21.48 => smaller(hazard_of_mortality(X,T),hazard_of_mortality(X,T0)) ) ) ) ).
% 21.41/21.48
% 21.41/21.48 %--------------------------------------------------------------------------
% 21.41/21.48 %-------------------------------------------
% 21.41/21.48 % Proof found
% 21.41/21.48 % SZS status Theorem for theBenchmark
% 21.41/21.48 % SZS output start Proof
% 21.41/21.48 %ClaNum:72(EqnAxiom:32)
% 21.41/21.48 %VarNum:172(SingletonVarNum:53)
% 21.41/21.48 %MaxLitNum:4
% 21.41/21.48 %MaxfuncDepth:1
% 21.41/21.48 %SharedTerms:20
% 21.41/21.48 %goalClause: 33 34 35 36 37 56 57 58 59
% 21.41/21.48 %singleGoalClaCount:5
% 21.41/21.48 [33]P1(a1)
% 21.41/21.48 [35]~P2(a1,a4)
% 21.41/21.48 [36]~P2(a1,a3)
% 21.41/21.48 [34]P7(f5(a1,a3),f5(a1,a4))
% 21.41/21.48 [37]~P8(f6(a1,a3),f6(a1,a4))
% 21.41/21.48 [56]P3(f9(a1,a3),f9(a1,a4))+P3(f7(a1,a3),f7(a1,a4))
% 21.41/21.48 [57]P4(f9(a1,a3),f9(a1,a4))+P3(f9(a1,a3),f9(a1,a4))
% 21.41/21.48 [58]P4(f7(a1,a3),f7(a1,a4))+P3(f7(a1,a3),f7(a1,a4))
% 21.41/21.48 [59]P4(f9(a1,a3),f9(a1,a4))+P4(f7(a1,a3),f7(a1,a4))
% 21.41/21.48 [38]~E(x381,x382)+P7(x381,x382)
% 21.41/21.48 [39]~E(x391,x392)+P3(x391,x392)
% 21.41/21.48 [41]~P8(x411,x412)+P7(x411,x412)
% 21.41/21.48 [42]~P4(x422,x421)+P8(x421,x422)
% 21.41/21.48 [43]~P4(x431,x432)+P3(x431,x432)
% 21.41/21.48 [44]~P8(x442,x441)+P4(x441,x442)
% 21.41/21.48 [47]~P4(x472,x471)+~P4(x471,x472)
% 21.41/21.48 [49]~P1(x491)+P5(x491,x492,x493)
% 21.41/21.48 [40]P8(x401,x402)+P4(x401,x402)+E(x401,x402)
% 21.41/21.48 [45]P8(x451,x452)+~P7(x451,x452)+E(x451,x452)
% 21.41/21.48 [46]P4(x461,x462)+~P3(x461,x462)+E(x461,x462)
% 21.41/21.48 [48]~P4(x481,x483)+P4(x481,x482)+~P4(x483,x482)
% 21.41/21.48 [50]~P1(x501)+~E(f7(x501,x502),f7(x501,x503))+E(f8(x501,x502),f8(x501,x503))
% 21.41/21.48 [66]~P1(x661)+~P4(f7(x661,x662),f7(x661,x663))+P4(f8(x661,x662),f8(x661,x663))
% 21.41/21.48 [51]P6(x511,x512,x513)+~P1(x511)+P2(x511,x512)+P2(x511,x513)
% 21.41/21.48 [67]~P5(x671,x672,x673)+~E(f9(x671,x672),f9(x671,x673))+~E(f5(x671,x672),f5(x671,x673))+E(f2(x671,x672),f2(x671,x673))
% 21.41/21.48 [68]~P6(x681,x682,x683)+~E(f2(x681,x682),f2(x681,x683))+~E(f8(x681,x682),f8(x681,x683))+E(f6(x681,x682),f6(x681,x683))
% 21.41/21.48 [69]~P5(x691,x692,x693)+~P7(f9(x691,x692),f9(x691,x693))+~P4(f5(x691,x692),f5(x691,x693))+P8(f2(x691,x692),f2(x691,x693))
% 21.41/21.48 [70]~P6(x701,x702,x703)+~P3(f2(x701,x702),f2(x701,x703))+~P4(f8(x701,x702),f8(x701,x703))+P8(f6(x701,x702),f6(x701,x703))
% 21.41/21.48 [71]~P6(x711,x712,x713)+~P3(f8(x711,x712),f8(x711,x713))+~P4(f2(x711,x712),f2(x711,x713))+P8(f6(x711,x712),f6(x711,x713))
% 21.41/21.48 [72]~P5(x721,x722,x723)+~P7(f5(x721,x722),f5(x721,x723))+~P4(f9(x721,x722),f9(x721,x723))+P4(f2(x721,x722),f2(x721,x723))
% 21.41/21.48 %EqnAxiom
% 21.41/21.48 [1]E(x11,x11)
% 21.41/21.48 [2]E(x22,x21)+~E(x21,x22)
% 21.41/21.48 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 21.41/21.48 [4]~E(x41,x42)+E(f5(x41,x43),f5(x42,x43))
% 21.41/21.48 [5]~E(x51,x52)+E(f5(x53,x51),f5(x53,x52))
% 21.41/21.48 [6]~E(x61,x62)+E(f9(x61,x63),f9(x62,x63))
% 21.41/21.48 [7]~E(x71,x72)+E(f9(x73,x71),f9(x73,x72))
% 21.41/21.48 [8]~E(x81,x82)+E(f6(x81,x83),f6(x82,x83))
% 21.41/21.48 [9]~E(x91,x92)+E(f6(x93,x91),f6(x93,x92))
% 21.41/21.48 [10]~E(x101,x102)+E(f7(x101,x103),f7(x102,x103))
% 21.41/21.48 [11]~E(x111,x112)+E(f7(x113,x111),f7(x113,x112))
% 21.41/21.48 [12]~E(x121,x122)+E(f8(x121,x123),f8(x122,x123))
% 21.41/21.48 [13]~E(x131,x132)+E(f8(x133,x131),f8(x133,x132))
% 21.41/21.48 [14]~E(x141,x142)+E(f2(x141,x143),f2(x142,x143))
% 21.41/21.48 [15]~E(x151,x152)+E(f2(x153,x151),f2(x153,x152))
% 21.41/21.48 [16]~P1(x161)+P1(x162)+~E(x161,x162)
% 21.41/21.48 [17]P7(x172,x173)+~E(x171,x172)+~P7(x171,x173)
% 21.41/21.48 [18]P7(x183,x182)+~E(x181,x182)+~P7(x183,x181)
% 21.41/21.48 [19]P2(x192,x193)+~E(x191,x192)+~P2(x191,x193)
% 21.41/21.48 [20]P2(x203,x202)+~E(x201,x202)+~P2(x203,x201)
% 21.41/21.48 [21]P8(x212,x213)+~E(x211,x212)+~P8(x211,x213)
% 21.41/21.48 [22]P8(x223,x222)+~E(x221,x222)+~P8(x223,x221)
% 21.41/21.48 [23]P4(x232,x233)+~E(x231,x232)+~P4(x231,x233)
% 21.41/21.48 [24]P4(x243,x242)+~E(x241,x242)+~P4(x243,x241)
% 21.41/21.48 [25]P3(x252,x253)+~E(x251,x252)+~P3(x251,x253)
% 21.41/21.48 [26]P3(x263,x262)+~E(x261,x262)+~P3(x263,x261)
% 21.41/21.48 [27]P5(x272,x273,x274)+~E(x271,x272)+~P5(x271,x273,x274)
% 21.41/21.48 [28]P5(x283,x282,x284)+~E(x281,x282)+~P5(x283,x281,x284)
% 21.41/21.48 [29]P5(x293,x294,x292)+~E(x291,x292)+~P5(x293,x294,x291)
% 21.41/21.48 [30]P6(x302,x303,x304)+~E(x301,x302)+~P6(x301,x303,x304)
% 21.41/21.48 [31]P6(x313,x312,x314)+~E(x311,x312)+~P6(x313,x311,x314)
% 21.41/21.48 [32]P6(x323,x324,x322)+~E(x321,x322)+~P6(x323,x324,x321)
% 21.41/21.48
% 21.41/21.48 %-------------------------------------------
% 21.41/21.48 cnf(73,plain,
% 21.41/21.48 (P5(a1,x731,x732)),
% 21.41/21.48 inference(scs_inference,[],[33,49])).
% 21.41/21.48 cnf(74,plain,
% 21.41/21.48 (~P4(f6(a1,a4),f6(a1,a3))),
% 21.41/21.48 inference(scs_inference,[],[33,37,49,42])).
% 21.41/21.48 cnf(87,plain,
% 21.41/21.48 (~E(x871,f6(a1,a3))+P4(f8(a1,x872),f8(a1,x873))+~P4(f7(a1,x872),f7(a1,x873))),
% 21.41/21.48 inference(scs_inference,[],[33,35,37,49,42,51,24,44,48,46,45,40,66])).
% 21.41/21.48 cnf(91,plain,
% 21.41/21.48 (~P6(a1,a3,a4)+~E(x911,f6(a1,a3))+~P3(f8(a1,a3),f8(a1,a4))+~P4(f2(a1,a3),f2(a1,a4))),
% 21.41/21.48 inference(scs_inference,[],[33,35,37,49,42,51,24,44,48,46,45,40,66,50,71])).
% 21.41/21.48 cnf(93,plain,
% 21.41/21.48 (~P6(a1,a3,a4)+~E(x931,f6(a1,a3))+~P3(f2(a1,a3),f2(a1,a4))+~P4(f7(a1,a3),f7(a1,a4))),
% 21.41/21.48 inference(scs_inference,[],[33,35,37,49,42,51,24,44,48,46,45,40,66,50,71,70])).
% 21.41/21.48 cnf(101,plain,
% 21.41/21.48 (~P4(f7(a1,x1011),f7(a1,x1012))+P4(f8(a1,x1011),f8(a1,x1012))),
% 21.41/21.48 inference(equality_inference,[],[87])).
% 21.41/21.48 cnf(102,plain,
% 21.41/21.48 (~P6(a1,a3,a4)+~P3(f8(a1,a3),f8(a1,a4))+~P4(f2(a1,a3),f2(a1,a4))),
% 21.41/21.48 inference(equality_inference,[],[91])).
% 21.41/21.48 cnf(103,plain,
% 21.41/21.48 (~P4(f7(a1,a3),f7(a1,a4))+~P6(a1,a3,a4)+~P3(f2(a1,a3),f2(a1,a4))),
% 21.41/21.48 inference(equality_inference,[],[93])).
% 21.41/21.48 cnf(104,plain,
% 21.41/21.48 (P6(a1,a3,a3)),
% 21.41/21.48 inference(scs_inference,[],[33,36,51])).
% 21.41/21.48 cnf(107,plain,
% 21.41/21.48 (E(f5(a1,a3),f5(a1,a4))+P8(f5(a1,a3),f5(a1,a4))),
% 21.41/21.48 inference(scs_inference,[],[33,36,34,74,51,23,45])).
% 21.41/21.48 cnf(115,plain,
% 21.41/21.48 (~P4(f9(a1,a3),f9(a1,a4))+P4(f2(a1,a3),f2(a1,a4))),
% 21.41/21.48 inference(scs_inference,[],[34,73,37,22,72])).
% 21.41/21.48 cnf(116,plain,
% 21.41/21.48 (P5(a1,x1161,x1162)),
% 21.41/21.48 inference(rename_variables,[],[73])).
% 21.41/21.48 cnf(118,plain,
% 21.45/21.48 (~P7(f9(a1,x1181),f9(a1,x1182))+P8(f2(a1,x1181),f2(a1,x1182))+~P4(f5(a1,x1181),f5(a1,x1182))),
% 21.45/21.48 inference(scs_inference,[],[34,73,116,37,22,72,69])).
% 21.45/21.48 cnf(120,plain,
% 21.45/21.48 (~E(f9(a1,x1201),f9(a1,x1202))+E(f2(a1,x1201),f2(a1,x1202))+~E(f5(a1,x1201),f5(a1,x1202))),
% 21.45/21.48 inference(scs_inference,[],[34,73,116,37,22,72,69,67])).
% 21.45/21.48 cnf(124,plain,
% 21.45/21.48 (P8(f9(a1,a3),f9(a1,a4))+E(f2(a1,a3),f2(a1,a4))+P4(f2(a1,a3),f2(a1,a4))+~E(f5(a1,a3),f5(a1,a4))),
% 21.45/21.48 inference(scs_inference,[],[34,73,116,37,22,72,69,67,45,40])).
% 21.45/21.48 cnf(144,plain,
% 21.45/21.48 (E(f8(a1,x1441),f8(a1,x1442))+~E(f7(a1,x1441),f7(a1,x1442))),
% 21.45/21.48 inference(scs_inference,[],[33,50])).
% 21.45/21.48 cnf(151,plain,
% 21.45/21.48 (E(x1511,f8(a1,x1512))+P4(x1511,f8(a1,x1512))+P8(x1511,f8(a1,x1513))+~E(f7(a1,x1512),f7(a1,x1513))),
% 21.45/21.48 inference(scs_inference,[],[33,50,22,19,16,45,40])).
% 21.45/21.48 cnf(168,plain,
% 21.45/21.48 (~P6(a1,a3,a4)+~P4(f8(a1,a3),f8(a1,a4))+~P3(f2(a1,a3),f2(a1,a4))),
% 21.45/21.48 inference(scs_inference,[],[37,70])).
% 21.45/21.48 cnf(174,plain,
% 21.45/21.48 (~P8(f8(a1,a4),f8(a1,a3))+~P6(a1,a3,a4)+~P3(f2(a1,a3),f2(a1,a4))),
% 21.45/21.48 inference(scs_inference,[],[37,70,48,46,44])).
% 21.45/21.49 cnf(187,plain,
% 21.45/21.49 (~P4(f8(a1,a3),f8(a1,a4))+~P6(a1,a3,a4)+~P4(f2(a1,a3),f2(a1,a4))),
% 21.45/21.49 inference(scs_inference,[],[43,102])).
% 21.45/21.49 cnf(188,plain,
% 21.45/21.49 (~P4(f7(a1,x1881),f7(a1,x1881))),
% 21.45/21.49 inference(scs_inference,[],[47,101])).
% 21.45/21.49 cnf(191,plain,
% 21.45/21.49 (~P8(f7(a1,x1911),f7(a1,x1911))),
% 21.45/21.49 inference(scs_inference,[],[188,44])).
% 21.45/21.49 cnf(196,plain,
% 21.45/21.49 (~P4(f7(a1,x1961),x1962)+~E(x1962,f7(a1,x1961))),
% 21.45/21.49 inference(scs_inference,[],[191,21,42])).
% 21.45/21.49 cnf(198,plain,
% 21.45/21.49 (~E(f7(a1,a4),f7(a1,a3))+P4(f9(a1,a3),f9(a1,a4))),
% 21.45/21.49 inference(scs_inference,[],[191,21,42,59])).
% 21.45/21.49 cnf(199,plain,
% 21.45/21.49 (~E(f7(a1,a4),f7(a1,a3))+P4(f2(a1,a3),f2(a1,a4))),
% 21.45/21.49 inference(scs_inference,[],[191,34,73,21,42,59,72])).
% 21.45/21.49 cnf(240,plain,
% 21.45/21.49 (P8(f2(a1,a4),f2(a1,a3))+~P4(f9(a1,a3),f9(a1,a4))),
% 21.45/21.49 inference(scs_inference,[],[115,42])).
% 21.45/21.49 cnf(322,plain,
% 21.45/21.49 (~P3(f2(a1,a3),f2(a1,a4))+~P4(f7(a1,a3),f7(a1,a4))),
% 21.45/21.49 inference(scs_inference,[],[33,35,36,103,51])).
% 21.45/21.49 cnf(323,plain,
% 21.45/21.49 (~P4(f2(a1,a3),f2(a1,a4))+~P4(f7(a1,a3),f7(a1,a4))),
% 21.45/21.49 inference(scs_inference,[],[322,43])).
% 21.45/21.49 cnf(324,plain,
% 21.45/21.49 (~P4(f9(a1,a3),f9(a1,a4))+~P4(f7(a1,a3),f7(a1,a4))),
% 21.45/21.49 inference(scs_inference,[],[323,115])).
% 21.45/21.49 cnf(378,plain,
% 21.45/21.49 (~P3(f2(a1,a3),f2(a1,a4))+~P4(f8(a1,a3),f8(a1,a4))),
% 21.45/21.49 inference(scs_inference,[],[35,33,36,168,51])).
% 21.45/21.49 cnf(386,plain,
% 21.45/21.49 (~P3(f2(a1,a3),f2(a1,a4))+~P8(f8(a1,a4),f8(a1,a3))),
% 21.45/21.49 inference(scs_inference,[],[35,33,36,174,51])).
% 21.45/21.49 cnf(387,plain,
% 21.45/21.49 (~E(f2(a1,a3),f2(a1,a4))+~P8(f8(a1,a4),f8(a1,a3))),
% 21.45/21.49 inference(scs_inference,[],[386,39])).
% 21.45/21.49 cnf(388,plain,
% 21.45/21.49 (~E(f2(a1,a4),f2(a1,a3))+~P8(f8(a1,a4),f8(a1,a3))),
% 21.45/21.49 inference(scs_inference,[],[387,2])).
% 21.45/21.49 cnf(389,plain,
% 21.45/21.49 (P4(f2(a1,a4),f2(a1,a3))+P8(f2(a1,a4),f2(a1,a3))+~P8(f8(a1,a4),f8(a1,a3))),
% 21.45/21.49 inference(scs_inference,[],[388,40])).
% 21.45/21.49 cnf(390,plain,
% 21.45/21.49 (~P4(f8(a1,a3),f8(a1,a4))+~P4(f2(a1,a3),f2(a1,a4))),
% 21.45/21.49 inference(scs_inference,[],[36,33,35,187,51])).
% 21.45/21.49 cnf(396,plain,
% 21.45/21.49 (P8(f5(a1,a3),f5(a1,a4))+E(f2(a1,a3),f2(a1,a4))+~E(f9(a1,a3),f9(a1,a4))),
% 21.45/21.49 inference(scs_inference,[],[120,107])).
% 21.45/21.49 cnf(403,plain,
% 21.45/21.49 (P8(f2(a1,a3),f2(a1,a4))+P8(f2(a1,a4),f2(a1,a3))+~P8(f8(a1,a4),f8(a1,a3))),
% 21.45/21.49 inference(scs_inference,[],[389,42])).
% 21.45/21.49 cnf(404,plain,
% 21.45/21.49 (~E(f9(a1,a4),f9(a1,a3))+P8(f5(a1,a3),f5(a1,a4))+E(f2(a1,a3),f2(a1,a4))),
% 21.45/21.49 inference(scs_inference,[],[396,2])).
% 21.45/21.49 cnf(409,plain,
% 21.45/21.49 (P7(f2(a1,a4),f2(a1,a3))+P8(f2(a1,a3),f2(a1,a4))+~P8(f8(a1,a4),f8(a1,a3))),
% 21.45/21.49 inference(scs_inference,[],[403,41])).
% 21.45/21.49 cnf(413,plain,
% 21.45/21.49 (P7(x4131,f2(a1,a3))+~E(f2(a1,a4),x4131)+P8(f2(a1,a3),f2(a1,a4))+~P8(f8(a1,a4),f8(a1,a3))),
% 21.45/21.49 inference(scs_inference,[],[409,17])).
% 21.45/21.49 cnf(493,plain,
% 21.45/21.49 (~E(x4931,x4932)+P7(x4932,x4931)),
% 21.45/21.49 inference(scs_inference,[],[2,38])).
% 21.45/21.49 cnf(494,plain,
% 21.45/21.49 (P7(x4941,x4941)),
% 21.45/21.49 inference(equality_inference,[],[493])).
% 21.45/21.49 cnf(497,plain,
% 21.45/21.49 (~E(x4971,x4972)+P3(x4972,x4971)),
% 21.45/21.49 inference(scs_inference,[],[2,39])).
% 21.45/21.49 cnf(498,plain,
% 21.45/21.49 (P3(x4981,x4981)),
% 21.45/21.49 inference(equality_inference,[],[497])).
% 21.45/21.49 cnf(505,plain,
% 21.45/21.49 (E(f5(a1,a4),f5(a1,a3))+P8(f5(a1,a3),f5(a1,a4))),
% 21.45/21.49 inference(scs_inference,[],[2,107])).
% 21.45/21.49 cnf(535,plain,
% 21.45/21.49 (E(f2(a1,x5351),f2(a1,x5352))+~E(f5(a1,x5352),f5(a1,x5351))+~E(f9(a1,x5352),f9(a1,x5351))),
% 21.45/21.49 inference(scs_inference,[],[73,2,67])).
% 21.45/21.49 cnf(536,plain,
% 21.45/21.49 (~E(f9(a1,x5361),f9(a1,x5362))+~E(f5(a1,x5362),f5(a1,x5361))+E(f2(a1,x5361),f2(a1,x5362))),
% 21.45/21.49 inference(scs_inference,[],[535,2])).
% 21.45/21.49 cnf(540,plain,
% 21.45/21.49 (E(f2(a1,x5401),f2(a1,x5402))+~E(f5(a1,x5401),f5(a1,x5402))+~E(f9(a1,x5402),f9(a1,x5401))),
% 21.45/21.49 inference(scs_inference,[],[2,536])).
% 21.45/21.49 cnf(544,plain,
% 21.45/21.49 (E(f2(a1,a4),f2(a1,a3))+P4(f2(a1,a3),f2(a1,a4))+P8(f9(a1,a3),f9(a1,a4))+~E(f5(a1,a3),f5(a1,a4))),
% 21.45/21.49 inference(scs_inference,[],[2,124])).
% 21.45/21.49 cnf(545,plain,
% 21.45/21.49 (~E(f7(a1,x5451),x5452)+~P4(f7(a1,x5451),x5452)),
% 21.45/21.49 inference(scs_inference,[],[2,196])).
% 21.45/21.49 cnf(565,plain,
% 21.45/21.49 (E(f8(a1,x5651),x5652)+P4(x5652,f8(a1,x5651))+P8(x5652,f8(a1,x5653))+~E(f7(a1,x5651),f7(a1,x5653))),
% 21.45/21.49 inference(scs_inference,[],[2,151])).
% 21.45/21.49 cnf(566,plain,
% 21.45/21.49 (P4(x5661,f8(a1,x5662))+E(f8(a1,x5662),x5661)+P8(x5661,f8(a1,x5662))),
% 21.45/21.49 inference(equality_inference,[],[565])).
% 21.45/21.49 cnf(567,plain,
% 21.45/21.49 (P4(f8(a1,x5671),x5672)+E(f8(a1,x5671),x5672)+P4(x5672,f8(a1,x5671))),
% 21.45/21.49 inference(scs_inference,[],[566,44])).
% 21.45/21.49 cnf(568,plain,
% 21.45/21.49 (P3(x5681,f8(a1,x5682))+E(f8(a1,x5682),x5681)+P4(f8(a1,x5682),x5681)),
% 21.45/21.49 inference(scs_inference,[],[567,43])).
% 21.45/21.49 cnf(580,plain,
% 21.45/21.49 (E(x5801,f8(a1,x5802))+P4(f8(a1,x5802),x5801)+P3(x5801,f8(a1,x5802))),
% 21.45/21.49 inference(scs_inference,[],[2,568])).
% 21.45/21.49 cnf(581,plain,
% 21.45/21.49 (P3(x5811,f8(a1,x5812))+~E(x5813,x5811)+P4(f8(a1,x5812),x5813)+E(x5813,f8(a1,x5812))),
% 21.45/21.49 inference(scs_inference,[],[580,25])).
% 21.45/21.49 cnf(645,plain,
% 21.45/21.49 (~E(f9(a1,x6451),f9(a1,x6452))+~P4(f5(a1,x6451),f5(a1,x6452))+P8(f2(a1,x6451),f2(a1,x6452))),
% 21.45/21.49 inference(scs_inference,[],[38,118])).
% 21.45/21.49 cnf(676,plain,
% 21.45/21.49 (~E(f2(a1,a3),f2(a1,a4))+~P4(f7(a1,a3),f7(a1,a4))),
% 21.45/21.49 inference(scs_inference,[],[39,322])).
% 21.45/21.49 cnf(677,plain,
% 21.45/21.49 (~E(f2(a1,a4),f2(a1,a3))+~P4(f7(a1,a3),f7(a1,a4))),
% 21.45/21.49 inference(scs_inference,[],[676,2])).
% 21.45/21.49 cnf(685,plain,
% 21.45/21.49 (~E(f8(a1,a3),f8(a1,a4))+~P6(a1,a3,a4)+~P4(f2(a1,a3),f2(a1,a4))),
% 21.45/21.49 inference(scs_inference,[],[39,102])).
% 21.45/21.49 cnf(686,plain,
% 21.45/21.49 (~E(f8(a1,a3),f8(a1,a4))+~P4(f2(a1,a3),f2(a1,a4))),
% 21.45/21.49 inference(scs_inference,[],[33,36,35,685,51])).
% 21.45/21.49 cnf(720,plain,
% 21.45/21.49 (P3(x7201,f8(a1,x7202))+~E(x7201,x7203)+P4(f8(a1,x7202),x7201)+P3(x7203,f8(a1,x7202))),
% 21.45/21.49 inference(scs_inference,[],[39,581])).
% 21.45/21.49 cnf(721,plain,
% 21.45/21.49 (P3(x7211,f8(a1,x7212))+P4(f8(a1,x7212),x7211)+P3(x7211,f8(a1,x7212))),
% 21.45/21.49 inference(equality_inference,[],[720])).
% 21.45/21.49 cnf(757,plain,
% 21.45/21.49 (P3(f2(a1,x7571),f2(a1,x7572))+~E(f9(a1,x7572),f9(a1,x7571))+~E(f5(a1,x7572),f5(a1,x7571))),
% 21.45/21.49 inference(scs_inference,[],[39,535])).
% 21.45/21.49 cnf(763,plain,
% 21.45/21.49 (P3(f2(a1,x7631),f2(a1,x7632))+~E(f5(a1,x7632),f5(a1,x7631))+~E(f9(a1,x7631),f9(a1,x7632))),
% 21.45/21.49 inference(scs_inference,[],[39,536])).
% 21.45/21.49 cnf(772,plain,
% 21.45/21.49 (P3(f8(a1,x7721),x7722)+P4(x7722,f8(a1,x7721))+P4(f8(a1,x7721),x7722)),
% 21.45/21.49 inference(scs_inference,[],[39,567])).
% 21.45/21.49 cnf(773,plain,
% 21.45/21.49 (P3(f8(a1,x7731),x7732)+P4(x7732,f8(a1,x7731))),
% 21.45/21.49 inference(scs_inference,[],[772,43])).
% 21.45/21.49 cnf(878,plain,
% 21.45/21.49 (P8(f9(a1,a4),f9(a1,a3))+P4(f7(a1,a3),f7(a1,a4))),
% 21.45/21.49 inference(scs_inference,[],[42,59])).
% 21.45/21.49 cnf(884,plain,
% 21.45/21.49 (P8(f8(a1,x8841),f8(a1,x8842))+~P4(f7(a1,x8842),f7(a1,x8841))),
% 21.45/21.49 inference(scs_inference,[],[42,101])).
% 21.45/21.49 cnf(885,plain,
% 21.45/21.49 (~P8(f7(a1,x8851),f7(a1,x8852))+P8(f8(a1,x8851),f8(a1,x8852))),
% 21.45/21.49 inference(scs_inference,[],[884,44])).
% 21.45/21.49 cnf(886,plain,
% 21.45/21.49 (~P3(f2(a1,a3),f2(a1,a4))+~P8(f7(a1,a4),f7(a1,a3))),
% 21.45/21.49 inference(scs_inference,[],[885,386])).
% 21.45/21.49 cnf(900,plain,
% 21.45/21.49 (P8(f7(a1,a4),f7(a1,a3))+P4(f9(a1,a3),f9(a1,a4))),
% 21.45/21.49 inference(scs_inference,[],[42,59])).
% 21.45/21.49 cnf(901,plain,
% 21.45/21.49 (P7(f7(a1,a4),f7(a1,a3))+P4(f9(a1,a3),f9(a1,a4))),
% 21.45/21.49 inference(scs_inference,[],[900,41])).
% 21.45/21.49 cnf(929,plain,
% 21.45/21.49 (P8(f8(a1,x9291),x9292)+P3(f8(a1,x9291),x9292)),
% 21.45/21.49 inference(scs_inference,[],[42,773])).
% 21.45/21.49 cnf(930,plain,
% 21.45/21.49 (P3(x9301,x9302)+~E(f8(a1,x9303),x9301)+P8(f8(a1,x9303),x9302)),
% 21.45/21.49 inference(scs_inference,[],[929,25])).
% 21.45/21.49 cnf(934,plain,
% 21.45/21.49 (P8(f7(a1,a4),f7(a1,a3))+P8(f9(a1,a4),f9(a1,a3))),
% 21.45/21.49 inference(scs_inference,[],[42,878])).
% 21.45/21.49 cnf(935,plain,
% 21.45/21.49 (P7(f9(a1,a4),f9(a1,a3))+P8(f7(a1,a4),f7(a1,a3))),
% 21.45/21.49 inference(scs_inference,[],[934,41])).
% 21.45/21.49 cnf(936,plain,
% 21.45/21.49 (P8(f7(a1,a4),f7(a1,a3))+~P4(f5(a1,a4),f5(a1,a3))+P8(f2(a1,a4),f2(a1,a3))),
% 21.45/21.49 inference(scs_inference,[],[935,118])).
% 21.45/21.49 cnf(937,plain,
% 21.45/21.49 (P4(f2(a1,a3),f2(a1,a4))+~P4(f5(a1,a4),f5(a1,a3))+P8(f7(a1,a4),f7(a1,a3))),
% 21.45/21.49 inference(scs_inference,[],[936,44])).
% 21.45/21.49 cnf(938,plain,
% 21.45/21.49 (P3(f2(a1,a3),f2(a1,a4))+~P4(f5(a1,a4),f5(a1,a3))+P8(f7(a1,a4),f7(a1,a3))),
% 21.45/21.49 inference(scs_inference,[],[937,43])).
% 21.45/21.49 cnf(939,plain,
% 21.45/21.49 (~P4(f8(a1,a3),f8(a1,a4))+~P4(f5(a1,a4),f5(a1,a3))+P8(f7(a1,a4),f7(a1,a3))),
% 21.45/21.49 inference(scs_inference,[],[938,378])).
% 21.45/21.49 cnf(943,plain,
% 21.45/21.49 (~E(f2(a1,a4),x9431)+~P4(f8(a1,a3),f8(a1,a4))+P7(x9431,f2(a1,a3))+P8(f2(a1,a3),f2(a1,a4))),
% 21.45/21.49 inference(scs_inference,[],[42,413])).
% 21.45/21.49 cnf(944,plain,
% 21.45/21.49 (P7(f2(a1,a4),f2(a1,a3))+~P4(f8(a1,a3),f8(a1,a4))+P8(f2(a1,a3),f2(a1,a4))),
% 21.45/21.49 inference(equality_inference,[],[943])).
% 21.45/21.49 cnf(947,plain,
% 21.45/21.49 (P8(f9(a1,a4),f9(a1,a3))+P7(f7(a1,a4),f7(a1,a3))),
% 21.45/21.49 inference(scs_inference,[],[42,901])).
% 21.45/21.49 cnf(957,plain,
% 21.45/21.49 (P8(x9571,f8(a1,x9572))+P3(x9571,f8(a1,x9572))),
% 21.45/21.49 inference(scs_inference,[],[42,721])).
% 21.45/21.49 cnf(958,plain,
% 21.45/21.49 (P3(x9581,x9582)+~E(f8(a1,x9583),x9582)+P8(x9581,f8(a1,x9583))),
% 21.45/21.49 inference(scs_inference,[],[957,26])).
% 21.45/21.49 cnf(984,plain,
% 21.45/21.49 (P3(f8(a1,x9841),f8(a1,x9842))+~P4(f7(a1,x9841),f7(a1,x9842))),
% 21.45/21.49 inference(scs_inference,[],[33,43,66])).
% 21.45/21.49 cnf(993,plain,
% 21.45/21.49 (P3(x9931,x9932)+~P8(x9932,x9931)),
% 21.45/21.49 inference(scs_inference,[],[43,44])).
% 21.45/21.49 cnf(996,plain,
% 21.45/21.49 (~P4(f2(a1,a3),f2(a1,a4))+~P8(f7(a1,a4),f7(a1,a3))),
% 21.45/21.49 inference(scs_inference,[],[43,886])).
% 21.45/21.49 cnf(997,plain,
% 21.45/21.49 (~P8(f2(a1,a4),f2(a1,a3))+~P8(f7(a1,a4),f7(a1,a3))),
% 21.45/21.49 inference(scs_inference,[],[996,44])).
% 21.45/21.49 cnf(998,plain,
% 21.45/21.49 (~P4(f9(a1,a3),f9(a1,a4))+~P8(f7(a1,a4),f7(a1,a3))),
% 21.45/21.49 inference(scs_inference,[],[997,240])).
% 21.45/21.49 cnf(999,plain,
% 21.45/21.49 (~P8(f7(a1,a4),f7(a1,a3))+P3(f9(a1,a3),f9(a1,a4))),
% 21.45/21.49 inference(scs_inference,[],[998,57])).
% 21.45/21.49 cnf(1000,plain,
% 21.45/21.49 (~P4(f7(a1,a3),f7(a1,a4))+P3(f9(a1,a3),f9(a1,a4))),
% 21.45/21.49 inference(scs_inference,[],[999,42])).
% 21.45/21.49 cnf(1003,plain,
% 21.45/21.49 (P3(f7(a1,a3),f7(a1,a4))),
% 21.45/21.49 inference(scs_inference,[],[43,58])).
% 21.45/21.49 cnf(1008,plain,
% 21.45/21.49 (E(f7(a1,a3),f7(a1,a4))+P3(f8(a1,a3),f8(a1,a4))),
% 21.45/21.49 inference(scs_inference,[],[1003,46,1000,984])).
% 21.45/21.49 cnf(1010,plain,
% 21.45/21.49 (E(f7(a1,a3),f7(a1,a4))+P8(f8(a1,a4),f8(a1,a3))),
% 21.45/21.49 inference(scs_inference,[],[1003,46,1000,984,884])).
% 21.45/21.49 cnf(1015,plain,
% 21.45/21.49 (~E(f2(a1,a3),f2(a1,a4))+E(f7(a1,a3),f7(a1,a4))),
% 21.45/21.49 inference(scs_inference,[],[1003,46,1000,984,884,677,545,387])).
% 21.45/21.49 cnf(1016,plain,
% 21.45/21.49 (~P4(f2(a1,a3),f2(a1,a4))+E(f7(a1,a3),f7(a1,a4))),
% 21.45/21.49 inference(scs_inference,[],[1003,46,1000,984,884,677,545,387,323])).
% 21.45/21.49 cnf(1017,plain,
% 21.45/21.49 (~P4(f7(a1,a4),f7(a1,a3))+E(f7(a1,a3),f7(a1,a4))),
% 21.45/21.49 inference(scs_inference,[],[1003,46,1000,984,884,677,545,387,323,47])).
% 21.45/21.49 cnf(1049,plain,
% 21.45/21.49 (P7(f8(a1,a4),f8(a1,a3))+E(f7(a1,a3),f7(a1,a4))),
% 21.45/21.49 inference(scs_inference,[],[1010,41])).
% 21.45/21.49 cnf(1051,plain,
% 21.45/21.49 (~E(x10511,f2(a1,a4))+~E(f2(a1,a3),x10511)+E(f7(a1,a3),f7(a1,a4))),
% 21.45/21.49 inference(scs_inference,[],[1015,3])).
% 21.45/21.49 cnf(1052,plain,
% 21.45/21.49 (~P8(f2(a1,a4),f2(a1,a3))+E(f7(a1,a3),f7(a1,a4))),
% 21.45/21.49 inference(scs_inference,[],[1016,44])).
% 21.45/21.49 cnf(1059,plain,
% 21.45/21.49 (~P4(f9(a1,a3),f9(a1,a4))+E(f7(a1,a3),f7(a1,a4))),
% 21.45/21.49 inference(scs_inference,[],[1052,240])).
% 21.45/21.49 cnf(1069,plain,
% 21.45/21.49 (~E(f2(x10691,a3),f2(a1,a4))+~E(a1,x10691)+E(f7(a1,a3),f7(a1,a4))),
% 21.45/21.49 inference(scs_inference,[],[1051,14])).
% 21.45/21.49 cnf(1071,plain,
% 21.45/21.49 (E(f7(a1,a4),f7(a1,a3))+~E(f2(x10711,a3),f2(a1,a4))+~E(a1,x10711)),
% 21.45/21.49 inference(scs_inference,[],[1069,2])).
% 21.45/21.49 cnf(1079,plain,
% 21.45/21.49 (P3(f9(a1,a3),f9(a1,a4))),
% 21.45/21.49 inference(scs_inference,[],[43,57])).
% 21.45/21.49 cnf(1085,plain,
% 21.45/21.49 (E(f9(a1,a3),f9(a1,a4))+P4(f9(a1,a3),f9(a1,a4))),
% 21.45/21.49 inference(scs_inference,[],[1079,46])).
% 21.45/21.49 cnf(1087,plain,
% 21.45/21.49 (E(f9(a1,a3),f9(a1,a4))+P4(f9(a1,a3),x10871)+~E(f9(a1,a4),x10871)),
% 21.45/21.49 inference(scs_inference,[],[1079,46,24])).
% 21.45/21.49 cnf(1089,plain,
% 21.45/21.49 (E(f9(a1,a4),f9(a1,a3))+P4(f9(a1,a3),f9(a1,a4))),
% 21.45/21.49 inference(scs_inference,[],[1085,2])).
% 21.45/21.49 cnf(1094,plain,
% 21.45/21.49 (P3(f2(a1,a3),f2(a1,a4))+~P4(f9(a1,a3),f9(a1,a4))),
% 21.45/21.49 inference(scs_inference,[],[43,115])).
% 21.45/21.49 cnf(1095,plain,
% 21.45/21.49 (P3(f2(a1,a3),f2(a1,a4))+~P8(f9(a1,a4),f9(a1,a3))),
% 21.45/21.49 inference(scs_inference,[],[1094,44])).
% 21.45/21.49 cnf(1099,plain,
% 21.45/21.49 (~P4(x10991,x10992)+P3(x10993,x10992)+~E(x10991,x10993)),
% 21.45/21.49 inference(scs_inference,[],[43,25])).
% 21.45/21.49 cnf(1108,plain,
% 21.45/21.49 (P3(f8(a1,x11081),x11082)+P3(x11082,f8(a1,x11081))),
% 21.45/21.49 inference(scs_inference,[],[43,721])).
% 21.45/21.49 cnf(1109,plain,
% 21.45/21.49 (P3(x11091,x11092)+~E(f8(a1,x11093),x11092)+P3(f8(a1,x11093),x11091)),
% 21.45/21.49 inference(scs_inference,[],[1108,26])).
% 21.45/21.49 cnf(1111,plain,
% 21.45/21.49 (~P4(x11111,x11112)+P3(x11111,x11113)+~E(x11112,x11113)),
% 21.45/21.49 inference(scs_inference,[],[43,26])).
% 21.45/21.49 cnf(1135,plain,
% 21.45/21.49 (P3(x11351,x11352)+~P4(x11353,x11352)+~P4(x11351,x11353)),
% 21.45/21.49 inference(scs_inference,[],[43,48])).
% 21.45/21.49 cnf(1152,plain,
% 21.45/21.49 (~P4(x11521,x11522)+~P8(x11521,x11522)),
% 21.45/21.49 inference(scs_inference,[],[44,47])).
% 21.45/21.49 cnf(1159,plain,
% 21.45/21.49 (~P8(f5(a1,x11591),f5(a1,x11591))+P8(f2(a1,x11591),f2(a1,x11591))),
% 21.45/21.49 inference(scs_inference,[],[73,494,44,69])).
% 21.45/21.49 cnf(1160,plain,
% 21.45/21.49 (P4(f2(a1,x11601),f2(a1,x11601))+~P8(f5(a1,x11601),f5(a1,x11601))),
% 21.45/21.49 inference(scs_inference,[],[1159,44])).
% 21.45/21.49 cnf(1166,plain,
% 21.45/21.49 (~P8(f2(a1,a3),f2(a1,a3))+P8(f6(a1,a3),f6(a1,a3))),
% 21.45/21.49 inference(scs_inference,[],[104,498,44,71])).
% 21.45/21.49 cnf(1167,plain,
% 21.45/21.49 (~P8(f2(a1,a3),f2(a1,a3))+P4(f6(a1,a3),f6(a1,a3))),
% 21.45/21.49 inference(scs_inference,[],[1166,44])).
% 21.45/21.49 cnf(1168,plain,
% 21.45/21.49 (~P8(f2(a1,a3),f2(a1,a3))),
% 21.45/21.49 inference(scs_inference,[],[1167,47])).
% 21.45/21.49 cnf(1169,plain,
% 21.45/21.49 (~P4(f2(a1,a3),f2(a1,a3))),
% 21.45/21.49 inference(scs_inference,[],[1168,42])).
% 21.45/21.49 cnf(1173,plain,
% 21.45/21.49 (P7(x11731,x11731)),
% 21.45/21.49 inference(rename_variables,[],[494])).
% 21.45/21.49 cnf(1175,plain,
% 21.45/21.49 (~P8(f9(a1,a3),f9(a1,a3))),
% 21.45/21.49 inference(scs_inference,[],[1168,494,73,42,72,44])).
% 21.45/21.49 cnf(1187,plain,
% 21.45/21.49 (~E(f2(a1,a4),f2(a1,a3))+~E(f2(x11871,a3),f2(a1,a4))+~E(a1,x11871)),
% 21.45/21.49 inference(scs_inference,[],[1168,494,1173,73,42,72,44,1160,118,21,240,198,1087,1071])).
% 21.45/21.49 cnf(1285,plain,
% 21.45/21.49 (~E(f9(a1,a4),f9(a1,a3))+~E(f5(a1,a4),f5(a1,a3))),
% 21.45/21.49 inference(scs_inference,[],[1175,21,947,878,676,324,322,196,101,43,1135,1111,1109,1099,958,944,939,930,763,757])).
% 21.45/21.49 cnf(1380,plain,
% 21.45/21.49 (P4(f9(a1,a3),f9(a1,a4))+~E(f5(a1,a4),f5(a1,a3))),
% 21.45/21.49 inference(scs_inference,[],[1285,1089])).
% 21.45/21.49 cnf(1392,plain,
% 21.45/21.49 (P8(f9(a1,a4),f9(a1,a3))+~E(f5(a1,a4),f5(a1,a3))),
% 21.45/21.49 inference(scs_inference,[],[1380,42])).
% 21.45/21.49 cnf(1403,plain,
% 21.45/21.49 (P3(f2(a1,a3),f2(a1,a4))+~E(f5(a1,a4),f5(a1,a3))),
% 21.45/21.49 inference(scs_inference,[],[1392,1095])).
% 21.45/21.49 cnf(1408,plain,
% 21.45/21.49 (~E(f5(a1,a4),f5(a1,a3))+~P4(f7(a1,a3),f7(a1,a4))),
% 21.45/21.49 inference(scs_inference,[],[1403,322])).
% 21.45/21.49 cnf(1421,plain,
% 21.45/21.49 (~E(f2(a1,a3),f2(a1,a4))+~E(f2(x14211,a3),f2(a1,a4))+~E(a1,x14211)),
% 21.45/21.49 inference(scs_inference,[],[1187,2])).
% 21.45/21.49 cnf(1442,plain,
% 21.45/21.49 (~E(x14421,f2(a1,a4))+~E(f2(a1,a3),x14421)),
% 21.45/21.49 inference(scs_inference,[],[1421,3])).
% 21.45/21.49 cnf(1443,plain,
% 21.45/21.49 (~E(f2(a1,a3),f2(a1,a4))),
% 21.45/21.49 inference(scs_inference,[],[1168,1169,1442,40])).
% 21.45/21.49 cnf(1445,plain,
% 21.45/21.49 (P8(f5(a1,a3),f5(a1,a4))+~E(f9(a1,a3),f9(a1,a4))),
% 21.45/21.49 inference(scs_inference,[],[1443,396])).
% 21.45/21.49 cnf(1446,plain,
% 21.45/21.49 (P8(f5(a1,a3),f5(a1,a4))+~E(f9(a1,a4),f9(a1,a3))),
% 21.45/21.49 inference(scs_inference,[],[1443,404])).
% 21.45/21.49 cnf(1455,plain,
% 21.45/21.49 (~E(f2(a1,a4),f2(a1,a3))),
% 21.45/21.49 inference(scs_inference,[],[1443,120,2])).
% 21.45/21.49 cnf(1472,plain,
% 21.45/21.49 (P4(f2(a1,a3),f2(a1,a4))+P8(f9(a1,a3),f9(a1,a4))+~E(f5(a1,a3),f5(a1,a4))),
% 21.45/21.49 inference(scs_inference,[],[1455,544])).
% 21.45/21.49 cnf(1477,plain,
% 21.45/21.49 (P8(f5(a1,a3),f5(a1,a4))+P4(f9(a1,a3),f9(a1,a4))),
% 21.45/21.49 inference(scs_inference,[],[1445,1085])).
% 21.45/21.49 cnf(1480,plain,
% 21.45/21.49 (P4(f2(a1,a4),f2(a1,a3))+P8(f2(a1,a4),f2(a1,a3))),
% 21.45/21.49 inference(scs_inference,[],[1455,1443,540,40])).
% 21.45/21.49 cnf(1486,plain,
% 21.45/21.49 (~E(f9(a1,a4),f9(a1,a3))+P4(f5(a1,a4),f5(a1,a3))),
% 21.45/21.49 inference(scs_inference,[],[1446,44])).
% 21.45/21.49 cnf(1503,plain,
% 21.45/21.49 (P4(f2(a1,a3),f2(a1,a4))+P8(f2(a1,a3),f2(a1,a4))),
% 21.45/21.49 inference(scs_inference,[],[1443,40])).
% 21.45/21.49 cnf(1537,plain,
% 21.45/21.49 (~P8(f2(a1,a4),f2(a1,a3))+~P3(f2(a1,a4),f2(a1,a3))),
% 21.45/21.49 inference(scs_inference,[],[1455,46,1152])).
% 21.45/21.49 cnf(1562,plain,
% 21.45/21.49 (~P4(f5(a1,a3),f5(a1,a4))+P4(f9(a1,a3),f9(a1,a4))),
% 21.45/21.49 inference(scs_inference,[],[1477,1152])).
% 21.45/21.49 cnf(1564,plain,
% 21.45/21.49 (P8(f2(a1,a3),f2(a1,a4))+P8(f2(a1,a4),f2(a1,a3))),
% 21.45/21.49 inference(scs_inference,[],[1480,42])).
% 21.45/21.49 cnf(1567,plain,
% 21.45/21.49 (~E(f2(x15671,a4),f2(a1,a3))+~E(a1,x15671)),
% 21.45/21.49 inference(scs_inference,[],[1455,3,2,14])).
% 21.45/21.49 cnf(1592,plain,
% 21.45/21.49 (~E(f2(a1,a3),f2(x15921,a4))+~E(a1,x15921)),
% 21.45/21.49 inference(scs_inference,[],[1567,2])).
% 21.45/21.49 cnf(1594,plain,
% 21.45/21.49 (~P3(f2(a1,a3),f2(x15941,a4))+P4(f2(a1,a3),f2(x15941,a4))+~E(a1,x15941)),
% 21.45/21.49 inference(scs_inference,[],[1592,46])).
% 21.45/21.49 cnf(1595,plain,
% 21.45/21.49 (P4(f2(a1,a3),f2(a1,a4))+~P3(f2(a1,a3),f2(a1,a4))),
% 21.45/21.49 inference(equality_inference,[],[1594])).
% 21.45/21.49 cnf(1596,plain,
% 21.45/21.49 (P4(f9(a1,a3),f9(a1,a4))+P4(f5(a1,a4),f5(a1,a3))),
% 21.45/21.49 inference(scs_inference,[],[1486,1089])).
% 21.45/21.49 cnf(1603,plain,
% 21.45/21.49 (P8(f2(a1,a3),f2(a1,a4))+~P4(f7(a1,a3),f7(a1,a4))),
% 21.45/21.49 inference(scs_inference,[],[1503,323])).
% 21.45/21.49 cnf(1623,plain,
% 21.45/21.49 (P4(f2(a1,a3),f2(a1,a4))+~P4(f5(a1,a3),f5(a1,a4))),
% 21.45/21.49 inference(scs_inference,[],[1562,115])).
% 21.45/21.49 cnf(1624,plain,
% 21.45/21.49 (P3(f2(a1,a3),f2(a1,a4))+P8(f2(a1,a3),f2(a1,a4))),
% 21.45/21.49 inference(scs_inference,[],[1564,993])).
% 21.45/21.49 cnf(1626,plain,
% 21.45/21.49 (~P3(f2(a1,a3),f2(a1,a4))+~E(f8(a1,a3),f8(a1,a4))),
% 21.45/21.49 inference(scs_inference,[],[1595,686])).
% 21.45/21.49 cnf(1627,plain,
% 21.45/21.49 (P8(f2(a1,a4),f2(a1,a3))+P4(f5(a1,a4),f5(a1,a3))),
% 21.45/21.49 inference(scs_inference,[],[1596,240])).
% 21.45/21.49 cnf(1631,plain,
% 21.45/21.49 (P4(f2(a1,a4),f2(a1,a3))+~P4(f7(a1,a3),f7(a1,a4))),
% 21.45/21.49 inference(scs_inference,[],[1603,44])).
% 21.45/21.49 cnf(1646,plain,
% 21.45/21.49 (~P4(f8(a1,a3),f8(a1,a4))+~P4(f5(a1,a3),f5(a1,a4))),
% 21.45/21.49 inference(scs_inference,[],[1623,390])).
% 21.45/21.49 cnf(1647,plain,
% 21.45/21.49 (~E(f8(a1,a3),f8(a1,a4))+P8(f2(a1,a3),f2(a1,a4))),
% 21.45/21.49 inference(scs_inference,[],[1624,1626])).
% 21.45/21.49 cnf(1651,plain,
% 21.45/21.49 (P3(f2(a1,a4),f2(a1,a3))+~P4(f7(a1,a3),f7(a1,a4))),
% 21.45/21.49 inference(scs_inference,[],[1631,43])).
% 21.45/21.49 cnf(1657,plain,
% 21.45/21.49 (~P4(f5(a1,a3),f5(a1,a4))+~P4(f7(a1,a3),f7(a1,a4))),
% 21.45/21.49 inference(scs_inference,[],[1646,101])).
% 21.45/21.49 cnf(1658,plain,
% 21.45/21.49 (P8(f2(a1,a3),f2(a1,a4))+~E(f8(a1,a4),f8(a1,a3))),
% 21.45/21.49 inference(scs_inference,[],[1647,2])).
% 21.45/21.49 cnf(1660,plain,
% 21.45/21.49 (~P8(f2(a1,a4),f2(a1,a3))+~P4(f7(a1,a3),f7(a1,a4))),
% 21.45/21.49 inference(scs_inference,[],[1651,1537])).
% 21.45/21.49 cnf(1668,plain,
% 21.45/21.49 (P8(f2(a1,a3),f2(a1,a4))+~E(f7(a1,a4),f7(a1,a3))),
% 21.45/21.49 inference(scs_inference,[],[1658,144])).
% 21.45/21.49 cnf(1677,plain,
% 21.45/21.49 (~P4(f2(a1,a3),f2(a1,a4))+~E(f7(a1,a4),f7(a1,a3))),
% 21.45/21.49 inference(scs_inference,[],[1668,1152])).
% 21.45/21.49 cnf(1680,plain,
% 21.45/21.49 (~E(f7(a1,a4),f7(a1,a3))),
% 21.45/21.49 inference(scs_inference,[],[1677,199])).
% 21.45/21.49 cnf(1693,plain,
% 21.45/21.49 (~P4(f9(a1,a3),f9(a1,a4))),
% 21.45/21.49 inference(scs_inference,[],[1680,1003,2,46,1660,1657,1631,1627,1408,1059])).
% 21.45/21.49 cnf(1704,plain,
% 21.45/21.49 (~E(f9(a1,a4),f9(a1,a3))),
% 21.45/21.49 inference(scs_inference,[],[1680,1003,2,46,1660,1657,1631,1627,1408,1059,1049,1017,1016,1010,1008,901,505,386,1472,938,645])).
% 21.45/21.49 cnf(1783,plain,
% 21.45/21.49 ($false),
% 21.45/21.50 inference(scs_inference,[],[1693,1704,1089]),
% 21.45/21.50 ['proof']).
% 21.45/21.50 % SZS output end Proof
% 21.45/21.50 % Total time :20.890000s
%------------------------------------------------------------------------------