TSTP Solution File: MGT061+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : MGT061+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 09:07:08 EDT 2023
% Result : Theorem 1.26s 1.43s
% Output : CNFRefutation 1.26s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : MGT061+1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.35 % Computer : n001.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 28 07:07:04 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.58 start to proof:theBenchmark
% 1.26/1.42 %-------------------------------------------
% 1.26/1.42 % File :CSE---1.6
% 1.26/1.42 % Problem :theBenchmark
% 1.26/1.42 % Transform :cnf
% 1.26/1.42 % Format :tptp:raw
% 1.26/1.42 % Command :java -jar mcs_scs.jar %d %s
% 1.26/1.42
% 1.26/1.42 % Result :Theorem 0.780000s
% 1.26/1.42 % Output :CNFRefutation 0.780000s
% 1.26/1.42 %-------------------------------------------
% 1.26/1.42 %--------------------------------------------------------------------------
% 1.26/1.42 % File : MGT061+1 : TPTP v8.1.2. Released v2.4.0.
% 1.26/1.42 % Domain : Management (Organisation Theory)
% 1.26/1.42 % Problem : Conditions for an in reasing hazard of mortality
% 1.26/1.42 % Version : [Han98] axioms.
% 1.26/1.42 % English : The hazard of mortality increases with age for an unendowed
% 1.26/1.42 % organization with a fragile position in drifting environments.
% 1.26/1.42
% 1.26/1.42 % Refs : [Kam00] Kamps (2000), Email to G. Sutcliffe
% 1.26/1.42 % : [CH00] Carroll & Hannan (2000), The Demography of Corporation
% 1.26/1.42 % : [Han98] Hannan (1998), Rethinking Age Dependence in Organizati
% 1.26/1.42 % Source : [Kam00]
% 1.26/1.42 % Names : THEOREM 7 [Han98]
% 1.26/1.42
% 1.26/1.42 % Status : Theorem
% 1.26/1.42 % Rating : 0.22 v8.1.0, 0.19 v7.5.0, 0.22 v7.4.0, 0.13 v7.3.0, 0.21 v7.2.0, 0.17 v6.4.0, 0.19 v6.3.0, 0.21 v6.2.0, 0.20 v6.1.0, 0.30 v6.0.0, 0.35 v5.5.0, 0.33 v5.4.0, 0.36 v5.3.0, 0.44 v5.2.0, 0.25 v5.1.0, 0.24 v5.0.0, 0.29 v4.1.0, 0.30 v4.0.0, 0.29 v3.7.0, 0.20 v3.5.0, 0.16 v3.3.0, 0.14 v3.2.0, 0.27 v3.1.0, 0.33 v2.7.0, 0.17 v2.6.0, 0.33 v2.4.0
% 1.26/1.42 % Syntax : Number of formulae : 18 ( 5 unt; 0 def)
% 1.26/1.42 % Number of atoms : 65 ( 12 equ)
% 1.26/1.42 % Maximal formula atoms : 16 ( 3 avg)
% 1.26/1.42 % Number of connectives : 58 ( 11 ~; 4 |; 22 &)
% 1.26/1.42 % ( 7 <=>; 14 =>; 0 <=; 0 <~>)
% 1.26/1.42 % Maximal formula depth : 12 ( 5 avg)
% 1.26/1.42 % Maximal term depth : 2 ( 1 avg)
% 1.26/1.42 % Number of predicates : 12 ( 11 usr; 0 prp; 1-3 aty)
% 1.26/1.42 % Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% 1.26/1.42 % Number of variables : 31 ( 31 !; 0 ?)
% 1.26/1.42 % SPC : FOF_THM_RFO_SEQ
% 1.26/1.42
% 1.26/1.42 % Comments : See MGT042+1.p for the mnemonic names.
% 1.26/1.42 %--------------------------------------------------------------------------
% 1.26/1.42 include('Axioms/MGT001+0.ax').
% 1.26/1.42 %--------------------------------------------------------------------------
% 1.26/1.42 %----Problem Axioms
% 1.26/1.42 %----An unendowed organization never possesses immunity.
% 1.26/1.42 fof(assumption_1,axiom,
% 1.26/1.42 ! [X,T] :
% 1.26/1.42 ( ( organization(X)
% 1.26/1.42 & ~ has_endowment(X) )
% 1.26/1.42 => ~ has_immunity(X,T) ) ).
% 1.26/1.42
% 1.26/1.42 %----Two states of the environment are dissimilar for an organization
% 1.26/1.42 %----if and only if the organization cannot be aligned to both.
% 1.26/1.42 %----
% 1.26/1.42 %----Added quantification over X.
% 1.26/1.42 fof(definition_2,axiom,
% 1.26/1.42 ! [X,T0,T] :
% 1.26/1.42 ( dissimilar(X,T0,T)
% 1.26/1.42 <=> ( organization(X)
% 1.26/1.42 & ~ ( is_aligned(X,T0)
% 1.26/1.42 <=> is_aligned(X,T) ) ) ) ).
% 1.26/1.42
% 1.26/1.42 %----An organization is aligned with the state of the environment at
% 1.26/1.42 %----its time of founding.
% 1.26/1.42 fof(assumption_13,axiom,
% 1.26/1.42 ! [X,T] :
% 1.26/1.42 ( ( organization(X)
% 1.26/1.42 & age(X,T) = zero )
% 1.26/1.42 => is_aligned(X,T) ) ).
% 1.26/1.42
% 1.26/1.42 %----Environmental drift: the environments at times separated by more
% 1.26/1.42 %----than `sigma' are dissimilar.
% 1.26/1.42 fof(assumption_15,axiom,
% 1.26/1.42 ! [X,T0,T] :
% 1.26/1.42 ( ( organization(X)
% 1.26/1.42 & age(X,T0) = zero )
% 1.26/1.42 => ( greater(age(X,T),sigma)
% 1.26/1.42 <=> dissimilar(X,T0,T) ) ) ).
% 1.26/1.42
% 1.26/1.42 %--- Case: Fragile and robust positions in drifting environments.
% 1.26/1.42 %--- Retracting A16!
% 1.26/1.42 %----
% 1.26/1.42 %----An organization's position is fragile if and only if it does not
% 1.26/1.42 %----provide advantage after age `sigma'.
% 1.26/1.42 %----
% 1.26/1.42 %----Added case: ( smaller_or_equal(age(X,T),sigma)
% 1.26/1.42 %---- => positional_advantage(X,T) )
% 1.26/1.42 fof(definition_3,axiom,
% 1.26/1.42 ! [X] :
% 1.26/1.42 ( fragile_position(X)
% 1.26/1.42 <=> ! [T] :
% 1.26/1.42 ( ( smaller_or_equal(age(X,T),sigma)
% 1.26/1.42 => positional_advantage(X,T) )
% 1.26/1.42 & ( greater(age(X,T),sigma)
% 1.26/1.42 => ~ positional_advantage(X,T) ) ) ) ).
% 1.26/1.42
% 1.26/1.42 %----An organization's immunity. alignment of capability with the
% 1.26/1.42 %----current state of the environment and positional advantage jointly
% 1.26/1.42 %----affect the hazard of mortality with the following ordinal scaling:
% 1.26/1.42 fof(assumption_17,axiom,
% 1.26/1.42 ! [X,T] :
% 1.26/1.42 ( organization(X)
% 1.26/1.42 => ( ( has_immunity(X,T)
% 1.26/1.42 => hazard_of_mortality(X,T) = very_low )
% 1.26/1.42 & ( ~ has_immunity(X,T)
% 1.26/1.42 => ( ( ( is_aligned(X,T)
% 1.26/1.42 & positional_advantage(X,T) )
% 1.26/1.42 => hazard_of_mortality(X,T) = low )
% 1.26/1.42 & ( ( ~ is_aligned(X,T)
% 1.26/1.42 & positional_advantage(X,T) )
% 1.26/1.42 => hazard_of_mortality(X,T) = mod1 )
% 1.26/1.42 & ( ( is_aligned(X,T)
% 1.26/1.42 & ~ positional_advantage(X,T) )
% 1.26/1.42 => hazard_of_mortality(X,T) = mod2 )
% 1.26/1.42 & ( ( ~ is_aligned(X,T)
% 1.26/1.42 & ~ positional_advantage(X,T) )
% 1.26/1.42 => hazard_of_mortality(X,T) = high ) ) ) ) ) ).
% 1.26/1.42
% 1.26/1.42 %----The levels of hazard of mortality are ordered:
% 1.26/1.42 %----
% 1.26/1.42 %----Split over 5 separate formulas because TPTP gives an error on top
% 1.26/1.42 %----level occurrences of `&'.
% 1.26/1.42 fof(assumption_18a,axiom,
% 1.26/1.42 greater(high,mod1) ).
% 1.26/1.42
% 1.26/1.42 fof(assumption_18b,axiom,
% 1.26/1.42 greater(mod1,low) ).
% 1.26/1.42
% 1.26/1.42 fof(assumption_18c,axiom,
% 1.26/1.42 greater(low,very_low) ).
% 1.26/1.42
% 1.26/1.42 fof(assumption_18d,axiom,
% 1.26/1.42 greater(high,mod2) ).
% 1.26/1.42
% 1.26/1.42 fof(assumption_18e,axiom,
% 1.26/1.42 greater(mod2,low) ).
% 1.26/1.42
% 1.26/1.43 %----Problem theorems
% 1.26/1.43 %----Fragile position without endowment: The hazard of mortality
% 1.26/1.43 %----increases with age for an unendowed organization with a fragile
% 1.26/1.43 %----position in drifting environments.
% 1.26/1.43 %----From D2, D3 and A1, A13, A15, A17, A18 (text says D1,2 and A1,2,13-15,
% 1.26/1.43 %----A17-19; also needs D<=, MP>com, MP>tra).
% 1.26/1.43 %----
% 1.26/1.43 %----Added (hazard_of_mortality(X,T1) = hazard_of_mortality(X,T0)).
% 1.26/1.43 fof(theorem_7,conjecture,
% 1.26/1.43 ! [X,T0,T1,T2] :
% 1.26/1.43 ( ( organization(X)
% 1.26/1.43 & fragile_position(X)
% 1.26/1.43 & ~ has_endowment(X)
% 1.26/1.43 & age(X,T0) = zero
% 1.26/1.43 & greater(sigma,zero)
% 1.26/1.43 & smaller_or_equal(age(X,T1),sigma)
% 1.26/1.43 & greater(age(X,T2),sigma) )
% 1.26/1.43 => ( greater(hazard_of_mortality(X,T2),hazard_of_mortality(X,T1))
% 1.26/1.43 & hazard_of_mortality(X,T1) = hazard_of_mortality(X,T0) ) ) ).
% 1.26/1.43
% 1.26/1.43 %--------------------------------------------------------------------------
% 1.26/1.43 %-------------------------------------------
% 1.26/1.43 % Proof found
% 1.26/1.43 % SZS status Theorem for theBenchmark
% 1.26/1.43 % SZS output start Proof
% 1.26/1.43 %ClaNum:76(EqnAxiom:31)
% 1.26/1.43 %VarNum:183(SingletonVarNum:68)
% 1.26/1.43 %MaxLitNum:4
% 1.26/1.43 %MaxfuncDepth:2
% 1.26/1.43 %SharedTerms:31
% 1.26/1.43 %goalClause: 32 33 34 35 41 42 43 73
% 1.26/1.43 %singleGoalClaCount:7
% 1.26/1.43 [32]P1(a1)
% 1.26/1.43 [33]P2(a1)
% 1.26/1.43 [35]P5(a7,a6)
% 1.26/1.43 [36]P5(a8,a15)
% 1.26/1.43 [37]P5(a13,a8)
% 1.26/1.43 [38]P5(a14,a8)
% 1.26/1.43 [39]P5(a9,a13)
% 1.26/1.43 [40]P5(a9,a14)
% 1.26/1.43 [43]~P6(a1)
% 1.26/1.43 [34]E(f2(a1,a5),a6)
% 1.26/1.43 [41]P10(f2(a1,a10),a7)
% 1.26/1.43 [42]P5(f2(a1,a11),a7)
% 1.26/1.43 [73]~P5(f12(a1,a11),f12(a1,a10))+~E(f12(a1,a10),f12(a1,a5))
% 1.26/1.43 [44]~E(x441,x442)+P10(x441,x442)
% 1.26/1.43 [45]~E(x451,x452)+P7(x451,x452)
% 1.26/1.43 [49]~P11(x491,x492)+P10(x491,x492)
% 1.26/1.43 [50]~P5(x502,x501)+P11(x501,x502)
% 1.26/1.43 [51]~P5(x511,x512)+P7(x511,x512)
% 1.26/1.43 [52]~P11(x522,x521)+P5(x521,x522)
% 1.26/1.43 [57]~P5(x572,x571)+~P5(x571,x572)
% 1.26/1.43 [67]P1(x671)+~P4(x671,x672,x673)
% 1.26/1.43 [58]P2(x581)+P12(x581,f3(x581))+~P12(x581,f4(x581))
% 1.26/1.43 [63]P2(x631)+P12(x631,f3(x631))+P10(f2(x631,f4(x631)),a7)
% 1.26/1.43 [66]P2(x661)+~P12(x661,f4(x661))+P5(f2(x661,f3(x661)),a7)
% 1.26/1.43 [71]P2(x711)+P10(f2(x711,f4(x711)),a7)+P5(f2(x711,f3(x711)),a7)
% 1.26/1.43 [46]P11(x461,x462)+P5(x461,x462)+E(x461,x462)
% 1.26/1.43 [47]~P1(x471)+P6(x471)+~P8(x471,x472)
% 1.26/1.43 [48]P3(x481,x482)+~P1(x481)+P8(x481,x482)
% 1.26/1.43 [53]P11(x531,x532)+~P10(x531,x532)+E(x531,x532)
% 1.26/1.43 [54]P5(x541,x542)+~P7(x541,x542)+E(x541,x542)
% 1.26/1.43 [55]~P1(x551)+~P8(x551,x552)+E(f12(x551,x552),a15)
% 1.26/1.43 [56]~P1(x561)+P9(x561,x562)+~E(f2(x561,x562),a6)
% 1.26/1.43 [64]~P2(x641)+P12(x641,x642)+~P10(f2(x641,x642),a7)
% 1.26/1.43 [68]~P2(x681)+~P12(x681,x682)+~P5(f2(x681,x682),a7)
% 1.26/1.43 [59]~P5(x591,x593)+P5(x591,x592)+~P5(x593,x592)
% 1.26/1.43 [72]~P4(x721,x723,x722)+P9(x721,x722)+P9(x721,x723)
% 1.26/1.43 [74]~P4(x741,x743,x742)+~P9(x741,x742)+~P9(x741,x743)
% 1.26/1.43 [60]P9(x601,x602)+P12(x601,x602)+~P3(x601,x602)+E(f12(x601,x602),a9)
% 1.26/1.43 [61]P9(x611,x612)+~P12(x611,x612)+~P3(x611,x612)+E(f12(x611,x612),a13)
% 1.26/1.43 [62]P12(x621,x622)+~P9(x621,x622)+~P3(x621,x622)+E(f12(x621,x622),a14)
% 1.26/1.43 [65]~P9(x651,x652)+~P12(x651,x652)+~P3(x651,x652)+E(f12(x651,x652),a8)
% 1.26/1.43 [69]~P1(x691)+~P9(x691,x693)+P9(x691,x692)+P4(x691,x692,x693)
% 1.26/1.43 [70]~P1(x701)+~P9(x701,x703)+P9(x701,x702)+P4(x701,x703,x702)
% 1.26/1.43 [75]~P1(x751)+P4(x751,x752,x753)+~E(f2(x751,x752),a6)+~P5(f2(x751,x753),a7)
% 1.26/1.43 [76]~P1(x761)+~P4(x761,x763,x762)+P5(f2(x761,x762),a7)+~E(f2(x761,x763),a6)
% 1.26/1.43 %EqnAxiom
% 1.26/1.43 [1]E(x11,x11)
% 1.26/1.43 [2]E(x22,x21)+~E(x21,x22)
% 1.26/1.43 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 1.26/1.43 [4]~E(x41,x42)+E(f2(x41,x43),f2(x42,x43))
% 1.26/1.43 [5]~E(x51,x52)+E(f2(x53,x51),f2(x53,x52))
% 1.26/1.43 [6]~E(x61,x62)+E(f12(x61,x63),f12(x62,x63))
% 1.26/1.43 [7]~E(x71,x72)+E(f12(x73,x71),f12(x73,x72))
% 1.26/1.43 [8]~E(x81,x82)+E(f4(x81),f4(x82))
% 1.26/1.43 [9]~E(x91,x92)+E(f3(x91),f3(x92))
% 1.26/1.43 [10]~P1(x101)+P1(x102)+~E(x101,x102)
% 1.26/1.43 [11]~P2(x111)+P2(x112)+~E(x111,x112)
% 1.26/1.43 [12]P5(x122,x123)+~E(x121,x122)+~P5(x121,x123)
% 1.26/1.43 [13]P5(x133,x132)+~E(x131,x132)+~P5(x133,x131)
% 1.26/1.43 [14]P10(x142,x143)+~E(x141,x142)+~P10(x141,x143)
% 1.26/1.43 [15]P10(x153,x152)+~E(x151,x152)+~P10(x153,x151)
% 1.26/1.43 [16]P9(x162,x163)+~E(x161,x162)+~P9(x161,x163)
% 1.26/1.43 [17]P9(x173,x172)+~E(x171,x172)+~P9(x173,x171)
% 1.26/1.43 [18]P12(x182,x183)+~E(x181,x182)+~P12(x181,x183)
% 1.26/1.43 [19]P12(x193,x192)+~E(x191,x192)+~P12(x193,x191)
% 1.26/1.43 [20]P4(x202,x203,x204)+~E(x201,x202)+~P4(x201,x203,x204)
% 1.26/1.43 [21]P4(x213,x212,x214)+~E(x211,x212)+~P4(x213,x211,x214)
% 1.26/1.43 [22]P4(x223,x224,x222)+~E(x221,x222)+~P4(x223,x224,x221)
% 1.26/1.43 [23]P3(x232,x233)+~E(x231,x232)+~P3(x231,x233)
% 1.26/1.43 [24]P3(x243,x242)+~E(x241,x242)+~P3(x243,x241)
% 1.26/1.43 [25]P7(x252,x253)+~E(x251,x252)+~P7(x251,x253)
% 1.26/1.43 [26]P7(x263,x262)+~E(x261,x262)+~P7(x263,x261)
% 1.26/1.43 [27]P11(x272,x273)+~E(x271,x272)+~P11(x271,x273)
% 1.26/1.43 [28]P11(x283,x282)+~E(x281,x282)+~P11(x283,x281)
% 1.26/1.43 [29]~P6(x291)+P6(x292)+~E(x291,x292)
% 1.26/1.43 [30]P8(x302,x303)+~E(x301,x302)+~P8(x301,x303)
% 1.26/1.43 [31]P8(x313,x312)+~E(x311,x312)+~P8(x313,x311)
% 1.26/1.43
% 1.26/1.43 %-------------------------------------------
% 1.26/1.43 cnf(77,plain,
% 1.26/1.43 (E(a6,f2(a1,a5))),
% 1.26/1.43 inference(scs_inference,[],[34,2])).
% 1.26/1.43 cnf(78,plain,
% 1.26/1.43 (~P5(a6,a7)),
% 1.26/1.43 inference(scs_inference,[],[35,34,2,57])).
% 1.26/1.43 cnf(82,plain,
% 1.26/1.43 (P5(a7,f2(a1,a5))),
% 1.26/1.43 inference(scs_inference,[],[35,34,2,57,52,13])).
% 1.26/1.43 cnf(83,plain,
% 1.26/1.43 (~E(f2(a1,a11),a6)),
% 1.26/1.43 inference(scs_inference,[],[35,34,42,2,57,52,13,12])).
% 1.26/1.43 cnf(84,plain,
% 1.26/1.43 (~E(f2(a1,a11),f2(a1,a5))),
% 1.26/1.43 inference(scs_inference,[],[35,34,42,2,57,52,13,12,3])).
% 1.26/1.43 cnf(85,plain,
% 1.26/1.43 (P5(f2(a1,a11),a6)),
% 1.26/1.43 inference(scs_inference,[],[35,34,42,2,57,52,13,12,3,59])).
% 1.26/1.43 cnf(89,plain,
% 1.26/1.43 (~P12(a1,a11)),
% 1.26/1.43 inference(scs_inference,[],[32,33,35,43,34,42,2,57,52,13,12,3,59,47,68])).
% 1.26/1.43 cnf(91,plain,
% 1.26/1.43 (P12(a1,a10)),
% 1.26/1.43 inference(scs_inference,[],[32,33,35,43,34,41,42,2,57,52,13,12,3,59,47,68,64])).
% 1.26/1.43 cnf(93,plain,
% 1.26/1.43 (P9(a1,a5)),
% 1.26/1.43 inference(scs_inference,[],[32,33,35,43,34,41,42,2,57,52,13,12,3,59,47,68,64,56])).
% 1.26/1.43 cnf(95,plain,
% 1.26/1.43 (P4(a1,a5,a11)),
% 1.26/1.43 inference(scs_inference,[],[32,33,35,43,34,41,42,2,57,52,13,12,3,59,47,68,64,56,75])).
% 1.26/1.43 cnf(99,plain,
% 1.26/1.43 (P11(a6,a7)),
% 1.26/1.43 inference(scs_inference,[],[32,33,35,43,34,41,42,2,57,52,13,12,3,59,47,68,64,56,75,51,50])).
% 1.26/1.43 cnf(103,plain,
% 1.26/1.43 (P7(f2(a1,a5),a6)),
% 1.26/1.43 inference(scs_inference,[],[32,33,35,43,34,41,42,2,57,52,13,12,3,59,47,68,64,56,75,51,50,49,45])).
% 1.26/1.43 cnf(105,plain,
% 1.26/1.43 (P10(f2(a1,a5),a6)),
% 1.26/1.43 inference(scs_inference,[],[32,33,35,43,34,41,42,2,57,52,13,12,3,59,47,68,64,56,75,51,50,49,45,44])).
% 1.26/1.43 cnf(109,plain,
% 1.26/1.43 (E(f12(x1091,f2(a1,a5)),f12(x1091,a6))),
% 1.26/1.43 inference(scs_inference,[],[32,33,35,43,34,41,42,2,57,52,13,12,3,59,47,68,64,56,75,51,50,49,45,44,9,8,7])).
% 1.26/1.43 cnf(110,plain,
% 1.26/1.43 (E(f12(f2(a1,a5),x1101),f12(a6,x1101))),
% 1.26/1.43 inference(scs_inference,[],[32,33,35,43,34,41,42,2,57,52,13,12,3,59,47,68,64,56,75,51,50,49,45,44,9,8,7,6])).
% 1.26/1.43 cnf(111,plain,
% 1.26/1.43 (E(f2(x1111,f2(a1,a5)),f2(x1111,a6))),
% 1.26/1.43 inference(scs_inference,[],[32,33,35,43,34,41,42,2,57,52,13,12,3,59,47,68,64,56,75,51,50,49,45,44,9,8,7,6,5])).
% 1.26/1.43 cnf(112,plain,
% 1.26/1.43 (E(f2(f2(a1,a5),x1121),f2(a6,x1121))),
% 1.26/1.43 inference(scs_inference,[],[32,33,35,43,34,41,42,2,57,52,13,12,3,59,47,68,64,56,75,51,50,49,45,44,9,8,7,6,5,4])).
% 1.26/1.43 cnf(114,plain,
% 1.26/1.43 (~P11(a7,f2(a1,a5))),
% 1.26/1.43 inference(scs_inference,[],[32,33,35,43,34,41,42,2,57,52,13,12,3,59,47,68,64,56,75,51,50,49,45,44,9,8,7,6,5,4,30,28])).
% 1.26/1.43 cnf(115,plain,
% 1.26/1.43 (~E(a10,a11)),
% 1.26/1.43 inference(scs_inference,[],[32,33,35,43,34,41,42,2,57,52,13,12,3,59,47,68,64,56,75,51,50,49,45,44,9,8,7,6,5,4,30,28,19])).
% 1.26/1.43 cnf(116,plain,
% 1.26/1.43 (~P9(a1,a11)),
% 1.26/1.43 inference(scs_inference,[],[32,33,35,43,34,41,42,2,57,52,13,12,3,59,47,68,64,56,75,51,50,49,45,44,9,8,7,6,5,4,30,28,19,74])).
% 1.26/1.43 cnf(118,plain,
% 1.26/1.43 (~P4(a1,a11,a11)),
% 1.26/1.43 inference(scs_inference,[],[32,33,35,43,34,41,42,2,57,52,13,12,3,59,47,68,64,56,75,51,50,49,45,44,9,8,7,6,5,4,30,28,19,74,72])).
% 1.26/1.43 cnf(120,plain,
% 1.26/1.43 (P3(a1,x1201)),
% 1.26/1.43 inference(scs_inference,[],[32,33,35,43,34,41,42,2,57,52,13,12,3,59,47,68,64,56,75,51,50,49,45,44,9,8,7,6,5,4,30,28,19,74,72,48])).
% 1.26/1.43 cnf(122,plain,
% 1.26/1.43 (P4(a1,a11,a5)),
% 1.26/1.43 inference(scs_inference,[],[32,33,35,43,34,41,42,2,57,52,13,12,3,59,47,68,64,56,75,51,50,49,45,44,9,8,7,6,5,4,30,28,19,74,72,48,69])).
% 1.26/1.43 cnf(124,plain,
% 1.26/1.43 (E(f12(a1,a11),a9)),
% 1.26/1.43 inference(scs_inference,[],[32,33,35,43,34,41,42,2,57,52,13,12,3,59,47,68,64,56,75,51,50,49,45,44,9,8,7,6,5,4,30,28,19,74,72,48,69,60])).
% 1.26/1.43 cnf(143,plain,
% 1.26/1.43 (~P5(f2(a1,a10),a7)),
% 1.26/1.43 inference(scs_inference,[],[33,34,105,91,14,68])).
% 1.26/1.43 cnf(145,plain,
% 1.26/1.43 (~P10(f2(a1,a11),a7)),
% 1.26/1.43 inference(scs_inference,[],[33,34,105,89,91,14,68,64])).
% 1.26/1.43 cnf(147,plain,
% 1.26/1.43 (~P5(f2(a1,a5),a7)),
% 1.26/1.43 inference(scs_inference,[],[33,34,105,114,89,91,14,68,64,50])).
% 1.26/1.43 cnf(149,plain,
% 1.26/1.43 (~E(f2(a1,a5),f2(a1,a11))),
% 1.26/1.43 inference(scs_inference,[],[33,34,84,105,114,89,91,14,68,64,50,2])).
% 1.26/1.43 cnf(150,plain,
% 1.26/1.43 (~P5(a15,a8)),
% 1.26/1.43 inference(scs_inference,[],[36,33,34,84,105,114,89,91,14,68,64,50,2,57])).
% 1.26/1.43 cnf(152,plain,
% 1.26/1.43 (~E(f2(a1,a11),a7)),
% 1.26/1.43 inference(scs_inference,[],[36,33,34,84,105,114,89,91,14,68,64,50,2,57,44])).
% 1.26/1.43 cnf(157,plain,
% 1.26/1.43 (P5(a13,a15)),
% 1.26/1.43 inference(scs_inference,[],[36,37,33,42,34,84,77,103,105,114,89,91,118,122,14,68,64,50,2,57,44,26,22,12,59])).
% 1.26/1.43 cnf(160,plain,
% 1.26/1.43 (P11(f2(a1,a5),a7)),
% 1.26/1.43 inference(scs_inference,[],[36,37,33,42,34,84,77,103,105,114,89,91,99,118,122,14,68,64,50,2,57,44,26,22,12,59,5,27])).
% 1.26/1.43 cnf(163,plain,
% 1.26/1.43 (~E(a6,f2(a1,a11))),
% 1.26/1.43 inference(scs_inference,[],[36,37,33,42,34,84,77,103,105,114,89,91,99,118,122,14,68,64,50,2,57,44,26,22,12,59,5,27,25,15,3])).
% 1.26/1.43 cnf(165,plain,
% 1.26/1.43 (~P11(f2(a1,a11),a7)),
% 1.26/1.43 inference(scs_inference,[],[36,37,33,42,34,84,77,103,105,114,89,91,99,118,122,14,68,64,50,2,57,44,26,22,12,59,5,27,25,15,3,11,49])).
% 1.26/1.43 cnf(172,plain,
% 1.26/1.43 (~P4(a1,a5,a10)),
% 1.26/1.43 inference(scs_inference,[],[32,36,37,41,33,42,34,84,77,103,105,114,89,91,99,118,122,14,68,64,50,2,57,44,26,22,12,59,5,27,25,15,3,11,49,10,53,46,76])).
% 1.26/1.43 cnf(186,plain,
% 1.26/1.43 (P10(f2(a1,a5),a7)),
% 1.26/1.43 inference(scs_inference,[],[160,49])).
% 1.26/1.43 cnf(188,plain,
% 1.26/1.43 (~E(f2(a1,a10),f2(a1,a11))),
% 1.26/1.43 inference(scs_inference,[],[41,160,145,49,14])).
% 1.26/1.43 cnf(189,plain,
% 1.26/1.43 (P11(a8,a14)),
% 1.26/1.43 inference(scs_inference,[],[38,41,160,145,49,14,50])).
% 1.26/1.43 cnf(193,plain,
% 1.26/1.43 (E(a9,f12(a1,a11))),
% 1.26/1.43 inference(scs_inference,[],[38,41,124,143,160,145,49,14,50,52,2])).
% 1.26/1.43 cnf(194,plain,
% 1.26/1.43 (~P5(a8,a14)),
% 1.26/1.43 inference(scs_inference,[],[38,41,124,143,160,145,49,14,50,52,2,57])).
% 1.26/1.43 cnf(199,plain,
% 1.26/1.43 (~P5(f2(a1,a10),f2(a1,a11))),
% 1.26/1.43 inference(scs_inference,[],[38,41,77,42,124,143,160,145,172,95,49,14,50,52,2,57,44,22,59])).
% 1.26/1.43 cnf(201,plain,
% 1.26/1.43 (P5(f12(a1,a11),a13)),
% 1.26/1.43 inference(scs_inference,[],[38,39,41,77,42,124,143,160,145,172,95,49,14,50,52,2,57,44,22,59,12])).
% 1.26/1.43 cnf(203,plain,
% 1.26/1.43 (E(f12(f2(a1,a5),f2(a1,a5)),f12(a6,a6))),
% 1.26/1.43 inference(scs_inference,[],[38,39,41,77,42,124,110,143,160,145,172,109,95,49,14,50,52,2,57,44,22,59,12,5,3])).
% 1.26/1.43 cnf(206,plain,
% 1.26/1.43 (~P9(a1,a10)+E(f12(a1,a10),a8)),
% 1.26/1.43 inference(scs_inference,[],[38,39,41,77,42,124,110,143,160,145,172,120,109,91,95,49,14,50,52,2,57,44,22,59,12,5,3,65])).
% 1.26/1.43 cnf(240,plain,
% 1.26/1.43 (P9(a1,a10)),
% 1.26/1.43 inference(scs_inference,[],[199,188,172,93,32,54,70])).
% 1.26/1.43 cnf(242,plain,
% 1.26/1.43 (~P5(a7,f2(a1,a11))),
% 1.26/1.43 inference(scs_inference,[],[199,188,165,172,93,32,54,70,50])).
% 1.26/1.43 cnf(246,plain,
% 1.26/1.43 (~P5(a8,a9)),
% 1.26/1.43 inference(scs_inference,[],[40,34,199,188,194,165,147,172,93,32,54,70,50,76,59])).
% 1.26/1.43 cnf(248,plain,
% 1.26/1.43 (~P5(a8,f12(a1,a11))),
% 1.26/1.43 inference(scs_inference,[],[40,34,199,188,194,165,124,147,172,93,32,54,70,50,76,59,13])).
% 1.26/1.43 cnf(249,plain,
% 1.26/1.43 (~P5(a14,a9)),
% 1.26/1.43 inference(scs_inference,[],[40,34,199,188,194,165,124,147,172,93,32,54,70,50,76,59,13,57])).
% 1.26/1.43 cnf(251,plain,
% 1.26/1.43 (~E(a7,f2(a1,a11))),
% 1.26/1.43 inference(scs_inference,[],[40,34,199,188,194,165,152,124,147,172,93,32,54,70,50,76,59,13,57,2])).
% 1.26/1.43 cnf(252,plain,
% 1.26/1.43 (~E(a9,a8)),
% 1.26/1.43 inference(scs_inference,[],[40,34,199,188,194,165,152,124,147,172,93,32,54,70,50,76,59,13,57,2,12])).
% 1.26/1.43 cnf(261,plain,
% 1.26/1.43 (E(f12(a1,a10),a8)),
% 1.26/1.43 inference(scs_inference,[],[40,34,199,188,111,112,194,165,152,124,147,120,172,93,32,54,70,50,76,59,13,57,2,12,3,62,74,206])).
% 1.26/1.43 cnf(284,plain,
% 1.26/1.43 (P11(a7,f2(a1,a11))),
% 1.26/1.43 inference(scs_inference,[],[240,242,251,116,32,70,46])).
% 1.26/1.43 cnf(286,plain,
% 1.26/1.43 (P11(a8,a13)),
% 1.26/1.43 inference(scs_inference,[],[37,240,242,251,116,32,70,46,50])).
% 1.26/1.43 cnf(288,plain,
% 1.26/1.43 (P5(a9,a8)),
% 1.26/1.43 inference(scs_inference,[],[37,39,240,242,251,116,32,70,46,50,59])).
% 1.26/1.43 cnf(290,plain,
% 1.26/1.43 (~P5(a8,a13)),
% 1.26/1.43 inference(scs_inference,[],[37,39,240,242,251,116,32,70,46,50,59,57])).
% 1.26/1.43 cnf(292,plain,
% 1.26/1.43 (~P5(f12(a1,a10),f12(a1,a11))),
% 1.26/1.43 inference(scs_inference,[],[37,39,261,240,242,251,248,116,32,70,46,50,59,57,12])).
% 1.26/1.43 cnf(293,plain,
% 1.26/1.43 (~E(a8,a9)),
% 1.26/1.43 inference(scs_inference,[],[37,39,38,261,240,242,251,248,249,116,32,70,46,50,59,57,12,13])).
% 1.26/1.43 cnf(294,plain,
% 1.26/1.43 (~E(f12(a1,a11),a8)),
% 1.26/1.43 inference(scs_inference,[],[37,39,38,261,240,242,251,248,193,249,252,116,32,70,46,50,59,57,12,13,3])).
% 1.26/1.44 cnf(295,plain,
% 1.26/1.44 (E(a8,f12(a1,a10))),
% 1.26/1.44 inference(scs_inference,[],[37,39,38,261,240,242,251,248,193,249,252,116,32,70,46,50,59,57,12,13,3,2])).
% 1.26/1.44 cnf(296,plain,
% 1.26/1.44 (P7(a13,a8)),
% 1.26/1.44 inference(scs_inference,[],[37,39,38,261,240,242,251,248,193,249,252,116,32,70,46,50,59,57,12,13,3,2,51])).
% 1.26/1.44 cnf(298,plain,
% 1.26/1.44 (P7(f12(a1,a10),a8)),
% 1.26/1.44 inference(scs_inference,[],[37,39,38,261,240,242,251,248,193,249,252,116,32,70,46,50,59,57,12,13,3,2,51,45])).
% 1.26/1.44 cnf(302,plain,
% 1.26/1.44 (E(f12(x3021,a6),f12(x3021,f2(a1,a5)))),
% 1.26/1.44 inference(scs_inference,[],[37,39,38,77,261,240,242,251,248,193,249,252,116,32,70,46,50,59,57,12,13,3,2,51,45,9,8,7])).
% 1.26/1.44 cnf(303,plain,
% 1.26/1.44 (E(f12(a6,x3031),f12(f2(a1,a5),x3031))),
% 1.26/1.44 inference(scs_inference,[],[37,39,38,77,261,240,242,251,248,193,249,252,116,32,70,46,50,59,57,12,13,3,2,51,45,9,8,7,6])).
% 1.26/1.44 cnf(304,plain,
% 1.26/1.44 (E(f2(a6,x3041),f2(f2(a1,a5),x3041))),
% 1.26/1.44 inference(scs_inference,[],[37,39,38,77,261,240,242,251,248,193,249,252,116,32,70,46,50,59,57,12,13,3,2,51,45,9,8,7,6,4])).
% 1.26/1.44 cnf(331,plain,
% 1.26/1.44 (P11(a8,a9)),
% 1.26/1.44 inference(scs_inference,[],[246,293,46])).
% 1.26/1.44 cnf(333,plain,
% 1.26/1.44 (~P5(a6,f2(a1,a11))),
% 1.26/1.44 inference(scs_inference,[],[78,42,246,293,46,59])).
% 1.26/1.44 cnf(335,plain,
% 1.26/1.44 (P10(f12(x3351,a6),f12(x3351,f2(a1,a5)))),
% 1.26/1.44 inference(scs_inference,[],[78,42,302,246,293,46,59,44])).
% 1.26/1.44 cnf(337,plain,
% 1.26/1.44 (P7(a8,a8)),
% 1.26/1.44 inference(scs_inference,[],[78,42,302,298,246,293,261,46,59,44,25])).
% 1.26/1.44 cnf(338,plain,
% 1.26/1.44 (P11(f12(a1,a10),a13)),
% 1.26/1.44 inference(scs_inference,[],[78,42,302,295,298,246,286,293,261,46,59,44,25,27])).
% 1.26/1.44 cnf(339,plain,
% 1.26/1.44 (~P5(a13,a9)),
% 1.26/1.44 inference(scs_inference,[],[78,39,42,302,295,298,246,286,293,261,46,59,44,25,27,57])).
% 1.26/1.44 cnf(341,plain,
% 1.26/1.44 (P7(f12(a1,a10),f12(a1,a10))),
% 1.26/1.44 inference(scs_inference,[],[78,39,42,302,295,298,246,286,293,261,46,59,44,25,27,57,26])).
% 1.26/1.44 cnf(342,plain,
% 1.26/1.44 (P10(f12(x3421,f2(a1,a5)),f12(x3421,f2(a1,a5)))),
% 1.26/1.44 inference(scs_inference,[],[78,39,42,302,295,298,246,286,293,261,46,59,44,25,27,57,26,14])).
% 1.26/1.44 cnf(344,plain,
% 1.26/1.44 (E(f12(a6,x3441),f12(f2(a1,a5),x3441))),
% 1.26/1.44 inference(rename_variables,[],[303])).
% 1.26/1.44 cnf(345,plain,
% 1.26/1.44 (E(f2(x3451,a8),f2(x3451,f12(a1,a10)))),
% 1.26/1.44 inference(scs_inference,[],[78,39,42,302,303,295,298,246,286,293,261,46,59,44,25,27,57,26,14,15,5])).
% 1.26/1.44 cnf(346,plain,
% 1.26/1.44 (~P5(f12(a1,a10),a9)),
% 1.26/1.44 inference(scs_inference,[],[78,39,42,292,302,303,295,298,246,286,293,193,261,46,59,44,25,27,57,26,14,15,5,13])).
% 1.26/1.44 cnf(347,plain,
% 1.26/1.44 (P5(f12(a1,a10),a15)),
% 1.26/1.44 inference(scs_inference,[],[78,36,39,42,292,302,303,295,298,246,286,293,193,261,46,59,44,25,27,57,26,14,15,5,13,12])).
% 1.26/1.44 cnf(348,plain,
% 1.26/1.44 (~E(a8,f12(a1,a11))),
% 1.26/1.44 inference(scs_inference,[],[78,36,39,42,292,302,303,295,298,294,246,286,293,193,261,46,59,44,25,27,57,26,14,15,5,13,12,2])).
% 1.26/1.44 cnf(352,plain,
% 1.26/1.44 (P12(a1,a5)),
% 1.26/1.44 inference(scs_inference,[],[78,36,39,42,292,302,303,344,295,298,294,246,286,293,186,193,33,261,46,59,44,25,27,57,26,14,15,5,13,12,2,3,64])).
% 1.26/1.44 cnf(374,plain,
% 1.26/1.44 (~P11(a8,a15)),
% 1.26/1.44 inference(scs_inference,[],[150,284,240,116,32,49,69,52])).
% 1.26/1.44 cnf(376,plain,
% 1.26/1.44 (P5(a14,a15)),
% 1.26/1.44 inference(scs_inference,[],[38,36,150,284,240,116,32,49,69,52,59])).
% 1.26/1.44 cnf(378,plain,
% 1.26/1.44 (P7(a8,f12(a1,a10))),
% 1.26/1.44 inference(scs_inference,[],[38,36,341,150,284,240,116,261,32,49,69,52,59,25])).
% 1.26/1.44 cnf(379,plain,
% 1.26/1.44 (P11(f12(a1,a10),a9)),
% 1.26/1.44 inference(scs_inference,[],[38,36,341,150,284,331,240,116,295,261,32,49,69,52,59,25,27])).
% 1.26/1.44 cnf(380,plain,
% 1.26/1.44 (~P5(a15,a13)),
% 1.26/1.44 inference(scs_inference,[],[38,36,341,150,157,284,331,240,116,295,261,32,49,69,52,59,25,27,57])).
% 1.26/1.44 cnf(382,plain,
% 1.26/1.44 (~E(a14,a15)),
% 1.26/1.44 inference(scs_inference,[],[38,36,341,150,157,284,331,240,116,295,261,32,49,69,52,59,25,27,57,12])).
% 1.26/1.44 cnf(383,plain,
% 1.26/1.44 (P11(a8,f12(a1,a11))),
% 1.26/1.44 inference(scs_inference,[],[38,36,341,150,157,284,331,193,240,116,295,261,32,49,69,52,59,25,27,57,12,28])).
% 1.26/1.44 cnf(384,plain,
% 1.26/1.44 (E(f2(x3841,f12(a1,a10)),f2(x3841,a8))),
% 1.26/1.44 inference(scs_inference,[],[38,36,341,345,150,157,284,331,193,240,116,295,261,32,49,69,52,59,25,27,57,12,28,2])).
% 1.26/1.44 cnf(385,plain,
% 1.26/1.44 (P5(a14,f12(a1,a10))),
% 1.26/1.44 inference(scs_inference,[],[38,36,341,345,150,157,284,331,193,240,116,295,261,32,49,69,52,59,25,27,57,12,28,2,13])).
% 1.26/1.44 cnf(386,plain,
% 1.26/1.44 (E(f2(a6,a8),f2(f2(a1,a5),f12(a1,a10)))),
% 1.26/1.44 inference(scs_inference,[],[38,36,341,345,304,150,157,284,331,193,240,116,295,261,32,49,69,52,59,25,27,57,12,28,2,13,3])).
% 1.26/1.44 cnf(412,plain,
% 1.26/1.44 (P11(a6,f2(a1,a11))),
% 1.26/1.44 inference(scs_inference,[],[163,333,379,52,46])).
% 1.26/1.44 cnf(414,plain,
% 1.26/1.44 (~P5(f2(a1,a5),f2(a1,a11))),
% 1.26/1.44 inference(scs_inference,[],[82,163,333,379,242,52,46,59])).
% 1.26/1.44 cnf(416,plain,
% 1.26/1.44 (P10(f2(x4161,f12(a1,a10)),f2(x4161,a8))),
% 1.26/1.44 inference(scs_inference,[],[82,163,384,333,379,242,52,46,59,44])).
% 1.26/1.44 cnf(418,plain,
% 1.26/1.44 (~P11(f12(a1,a10),a15)),
% 1.26/1.44 inference(scs_inference,[],[82,163,384,333,379,374,242,261,52,46,59,44,27])).
% 1.26/1.44 cnf(419,plain,
% 1.26/1.44 (~P5(a15,f12(a1,a10))),
% 1.26/1.44 inference(scs_inference,[],[82,163,384,333,347,379,374,242,261,52,46,59,44,27,57])).
% 1.26/1.44 cnf(422,plain,
% 1.26/1.44 (P11(f12(a1,a10),f12(a1,a11))),
% 1.26/1.44 inference(scs_inference,[],[82,163,384,333,347,379,374,296,242,193,295,261,52,46,59,44,27,57,26,28])).
% 1.26/1.44 cnf(423,plain,
% 1.26/1.44 (P10(f12(f2(a1,a5),f2(a1,a5)),f12(a6,a6))),
% 1.26/1.44 inference(scs_inference,[],[82,342,163,384,203,333,347,379,374,296,242,193,295,261,52,46,59,44,27,57,26,28,15])).
% 1.26/1.44 cnf(425,plain,
% 1.26/1.44 (~E(a15,a14)),
% 1.26/1.44 inference(scs_inference,[],[82,342,163,384,203,333,347,379,374,382,296,242,193,295,261,52,46,59,44,27,57,26,28,15,2])).
% 1.26/1.44 cnf(426,plain,
% 1.26/1.44 (~P5(f12(a1,a10),a13)),
% 1.26/1.44 inference(scs_inference,[],[82,342,163,384,203,333,290,347,379,374,382,296,242,193,295,261,52,46,59,44,27,57,26,28,15,2,12])).
% 1.26/1.44 cnf(427,plain,
% 1.26/1.44 (~E(f12(a1,a10),f12(a1,a11))),
% 1.26/1.44 inference(scs_inference,[],[82,342,163,384,203,333,290,347,379,348,374,382,296,242,193,295,261,52,46,59,44,27,57,26,28,15,2,12,3])).
% 1.26/1.44 cnf(428,plain,
% 1.26/1.44 (~E(a15,a13)),
% 1.26/1.44 inference(scs_inference,[],[36,82,342,163,384,203,333,290,347,379,348,374,382,296,242,193,295,261,52,46,59,44,27,57,26,28,15,2,12,3,13])).
% 1.26/1.44 cnf(431,plain,
% 1.26/1.44 (E(f12(a1,a5),a8)),
% 1.26/1.44 inference(scs_inference,[],[36,115,82,342,163,384,203,333,290,347,379,348,374,382,296,242,352,193,120,295,261,93,52,46,59,44,27,57,26,28,15,2,12,3,13,54,65])).
% 1.26/1.44 cnf(446,plain,
% 1.26/1.44 (~P11(f2(a1,a11),f2(a1,a5))),
% 1.26/1.44 inference(scs_inference,[],[414,149,54,52])).
% 1.26/1.44 cnf(453,plain,
% 1.26/1.44 (P11(f2(a1,a5),f2(a1,a11))),
% 1.26/1.44 inference(scs_inference,[],[77,414,346,380,412,428,149,347,54,52,46,59,25,27])).
% 1.26/1.44 cnf(455,plain,
% 1.26/1.44 (~P5(f12(a1,a10),a14)),
% 1.26/1.44 inference(scs_inference,[],[77,414,423,346,380,385,412,428,149,347,203,54,52,46,59,25,27,14,57])).
% 1.26/1.44 cnf(457,plain,
% 1.26/1.44 (P10(f2(a6,f12(a1,a10)),f2(f2(a1,a5),f12(a1,a10)))),
% 1.26/1.44 inference(scs_inference,[],[77,414,423,416,346,380,385,412,428,386,149,347,203,54,52,46,59,25,27,14,57,15])).
% 1.26/1.44 cnf(459,plain,
% 1.26/1.44 (E(a8,f12(a1,a5))),
% 1.26/1.44 inference(scs_inference,[],[77,414,423,416,431,346,380,385,412,428,386,149,347,203,54,52,46,59,25,27,14,57,15,2])).
% 1.26/1.44 cnf(460,plain,
% 1.26/1.44 (P7(a8,f12(a1,a5))),
% 1.26/1.44 inference(scs_inference,[],[77,414,423,416,431,346,337,380,385,412,428,386,149,347,203,54,52,46,59,25,27,14,57,15,2,26])).
% 1.26/1.44 cnf(461,plain,
% 1.26/1.44 (E(f12(a1,a5),f12(a1,a10))),
% 1.26/1.44 inference(scs_inference,[],[77,414,423,416,431,346,337,380,385,412,428,386,149,347,203,295,54,52,46,59,25,27,14,57,15,2,26,3])).
% 1.26/1.44 cnf(463,plain,
% 1.26/1.44 (~P5(a13,f12(a1,a11))),
% 1.26/1.44 inference(scs_inference,[],[77,422,414,423,416,431,339,346,337,380,385,412,418,428,386,149,347,203,124,295,54,52,46,59,25,27,14,57,15,2,26,3,28,13])).
% 1.26/1.44 cnf(464,plain,
% 1.26/1.44 (~P5(f12(a1,a5),a9)),
% 1.26/1.44 inference(scs_inference,[],[77,422,414,423,416,431,339,346,337,380,385,412,418,428,386,149,246,347,203,124,295,54,52,46,59,25,27,14,57,15,2,26,3,28,13,12])).
% 1.26/1.44 cnf(470,plain,
% 1.26/1.44 (E(f3(f12(a1,a5)),f3(a8))),
% 1.26/1.44 inference(scs_inference,[],[39,77,422,414,423,416,431,339,346,337,380,385,412,418,428,386,149,246,347,203,124,295,54,52,46,59,25,27,14,57,15,2,26,3,28,13,12,51,45,10,9])).
% 1.26/1.44 cnf(472,plain,
% 1.26/1.44 (E(f12(x4721,f12(a1,a5)),f12(x4721,a8))),
% 1.26/1.44 inference(scs_inference,[],[39,77,422,414,423,416,431,339,346,337,380,385,412,418,428,386,149,246,347,203,124,295,54,52,46,59,25,27,14,57,15,2,26,3,28,13,12,51,45,10,9,8,7])).
% 1.26/1.44 cnf(473,plain,
% 1.26/1.44 (E(f12(f12(a1,a5),x4731),f12(a8,x4731))),
% 1.26/1.44 inference(scs_inference,[],[39,77,422,414,423,416,431,339,346,337,380,385,412,418,428,386,149,246,347,203,124,295,54,52,46,59,25,27,14,57,15,2,26,3,28,13,12,51,45,10,9,8,7,6])).
% 1.26/1.44 cnf(474,plain,
% 1.26/1.44 (E(f2(f12(a1,a5),x4741),f2(a8,x4741))),
% 1.26/1.44 inference(scs_inference,[],[39,77,422,414,423,416,431,339,346,337,380,385,412,418,428,386,149,246,347,203,124,295,54,52,46,59,25,27,14,57,15,2,26,3,28,13,12,51,45,10,9,8,7,6,4])).
% 1.26/1.44 cnf(475,plain,
% 1.26/1.44 (P11(a13,a9)),
% 1.26/1.44 inference(scs_inference,[],[39,77,422,414,423,416,431,339,346,337,380,385,412,418,428,386,149,246,347,203,124,295,54,52,46,59,25,27,14,57,15,2,26,3,28,13,12,51,45,10,9,8,7,6,4,50])).
% 1.26/1.44 cnf(477,plain,
% 1.26/1.44 (E(f2(x4771,f12(a1,a5)),f2(x4771,a8))),
% 1.26/1.44 inference(scs_inference,[],[39,77,422,414,423,416,431,339,346,337,380,385,412,418,428,386,149,246,347,203,124,295,54,52,46,59,25,27,14,57,15,2,26,3,28,13,12,51,45,10,9,8,7,6,4,50,5])).
% 1.26/1.44 cnf(494,plain,
% 1.26/1.44 (~P5(a15,a14)),
% 1.26/1.44 inference(scs_inference,[],[40,453,378,459,376,52,59,25,57])).
% 1.26/1.44 cnf(496,plain,
% 1.26/1.44 (P11(f12(a1,a5),f12(a1,a11))),
% 1.26/1.44 inference(scs_inference,[],[40,453,378,459,383,376,52,59,25,57,27])).
% 1.26/1.44 cnf(500,plain,
% 1.26/1.44 (~E(f12(a1,a11),f12(a1,a5))),
% 1.26/1.44 inference(scs_inference,[],[40,461,427,453,378,457,459,383,376,384,52,59,25,57,27,14,2,3])).
% 1.26/1.44 cnf(502,plain,
% 1.26/1.44 (~P5(a15,f12(a1,a5))),
% 1.26/1.44 inference(scs_inference,[],[40,461,427,453,419,378,457,338,459,383,376,418,384,52,59,25,57,27,14,2,3,28,13])).
% 1.26/1.44 cnf(503,plain,
% 1.26/1.44 (~E(a9,f12(a1,a10))),
% 1.26/1.44 inference(scs_inference,[],[40,461,427,453,419,378,457,338,455,459,383,376,418,384,52,59,25,57,27,14,2,3,28,13,12])).
% 1.26/1.44 cnf(520,plain,
% 1.26/1.44 (~P11(a13,f12(a1,a10))),
% 1.26/1.44 inference(scs_inference,[],[426,52])).
% 1.26/1.44 cnf(524,plain,
% 1.26/1.44 (~P5(a15,f12(a1,a11))),
% 1.26/1.44 inference(scs_inference,[],[36,426,425,494,248,52,46,59])).
% 1.26/1.44 cnf(526,plain,
% 1.26/1.44 (P7(f12(a1,a5),f12(a1,a5))),
% 1.26/1.44 inference(scs_inference,[],[36,426,425,494,460,248,459,52,46,59,25])).
% 1.26/1.44 cnf(528,plain,
% 1.26/1.44 (P10(f12(f12(a1,a5),a6),f12(a8,f2(a1,a5)))),
% 1.26/1.44 inference(scs_inference,[],[36,426,425,494,473,460,335,248,374,459,431,52,46,59,25,27,15])).
% 1.26/1.44 cnf(531,plain,
% 1.26/1.44 (~P11(f2(a1,a11),a6)),
% 1.26/1.44 inference(scs_inference,[],[36,77,426,425,494,446,473,460,335,248,374,459,431,52,46,59,25,27,15,28])).
% 1.26/1.44 cnf(533,plain,
% 1.26/1.44 (~E(a15,f12(a1,a11))),
% 1.26/1.44 inference(scs_inference,[],[36,77,426,425,494,446,470,473,460,335,248,374,459,431,52,46,59,25,27,15,28,2,13])).
% 1.26/1.44 cnf(534,plain,
% 1.26/1.44 (~E(a9,f12(a1,a5))),
% 1.26/1.44 inference(scs_inference,[],[36,77,500,426,425,494,446,470,473,460,335,248,374,459,124,431,52,46,59,25,27,15,28,2,13,3])).
% 1.26/1.44 cnf(539,plain,
% 1.26/1.44 (P10(f12(a1,a5),f12(a1,a11))),
% 1.26/1.44 inference(scs_inference,[],[36,77,496,500,426,425,494,446,470,473,460,335,248,374,296,459,461,124,431,52,46,59,25,27,15,28,2,13,3,26,12,54,49])).
% 1.26/1.44 cnf(553,plain,
% 1.26/1.44 (P5(f12(a1,a11),f12(a1,a5))),
% 1.26/1.44 inference(scs_inference,[],[83,524,531,533,496,54,53,52])).
% 1.26/1.44 cnf(555,plain,
% 1.26/1.44 (P11(a15,f12(a1,a11))),
% 1.26/1.44 inference(scs_inference,[],[83,524,531,533,496,54,53,52,46])).
% 1.26/1.44 cnf(557,plain,
% 1.26/1.44 (~P5(f12(a1,a5),f12(a1,a11))),
% 1.26/1.44 inference(scs_inference,[],[83,524,531,533,496,54,53,52,46,57])).
% 1.26/1.44 cnf(559,plain,
% 1.26/1.44 (P11(f12(a1,a5),a13)),
% 1.26/1.44 inference(scs_inference,[],[83,524,531,533,496,286,459,54,53,52,46,57,27])).
% 1.26/1.44 cnf(560,plain,
% 1.26/1.44 (P10(f12(a1,a5),a9)),
% 1.26/1.44 inference(scs_inference,[],[83,539,524,531,533,496,286,459,124,54,53,52,46,57,27,15])).
% 1.26/1.44 cnf(562,plain,
% 1.26/1.44 (E(f12(f12(a1,a5),f12(a1,a5)),f12(a8,a8))),
% 1.26/1.44 inference(scs_inference,[],[83,539,524,531,533,472,496,249,286,473,459,124,54,53,52,46,57,27,15,13,3])).
% 1.26/1.44 cnf(566,plain,
% 1.26/1.44 (P5(f12(a1,a5),a15)),
% 1.26/1.44 inference(scs_inference,[],[83,36,539,503,524,531,533,472,496,249,286,473,459,124,54,53,52,46,57,27,15,13,3,2,12])).
% 1.26/1.44 cnf(587,plain,
% 1.26/1.44 (~P7(f12(a1,a10),f12(a1,a11))),
% 1.26/1.44 inference(scs_inference,[],[292,427,54])).
% 1.26/1.44 cnf(593,plain,
% 1.26/1.44 (~P11(f12(a1,a11),f12(a1,a5))),
% 1.26/1.44 inference(scs_inference,[],[84,557,562,292,427,446,54,45,53,52])).
% 1.26/1.44 cnf(597,plain,
% 1.26/1.44 (P7(f12(a1,a10),f12(a1,a5))),
% 1.26/1.44 inference(scs_inference,[],[84,526,557,553,562,566,292,427,446,461,54,45,53,52,59,25])).
% 1.26/1.44 cnf(599,plain,
% 1.26/1.44 (P11(f12(a1,a5),a14)),
% 1.26/1.44 inference(scs_inference,[],[84,526,557,553,562,560,566,292,189,427,446,461,459,54,45,53,52,59,25,14,27])).
% 1.26/1.44 cnf(600,plain,
% 1.26/1.44 (E(f2(f12(a1,a5),f12(a1,a5)),f2(a8,a8))),
% 1.26/1.44 inference(scs_inference,[],[84,526,557,553,562,560,566,474,477,292,189,427,446,461,459,54,45,53,52,59,25,14,27,3])).
% 1.26/1.44 cnf(603,plain,
% 1.26/1.44 (E(f12(a8,a8),f12(f12(a1,a5),f12(a1,a5)))),
% 1.26/1.44 inference(scs_inference,[],[84,526,557,553,562,560,566,474,477,292,189,427,446,461,459,54,45,53,52,59,25,14,27,3,2])).
% 1.26/1.44 cnf(604,plain,
% 1.26/1.44 (P5(f12(a1,a11),f12(a1,a10))),
% 1.26/1.44 inference(scs_inference,[],[84,526,557,553,562,560,566,474,477,292,189,427,446,461,459,54,45,53,52,59,25,14,27,3,2,13])).
% 1.26/1.44 cnf(605,plain,
% 1.26/1.44 (~P11(a13,f12(a1,a5))),
% 1.26/1.44 inference(scs_inference,[],[84,526,557,553,562,560,566,520,474,477,292,189,427,446,461,459,54,45,53,52,59,25,14,27,3,2,13,28])).
% 1.26/1.44 cnf(609,plain,
% 1.26/1.44 (E(f3(f12(a1,a5)),f3(f12(a1,a10)))),
% 1.26/1.44 inference(scs_inference,[],[84,40,526,557,553,562,560,566,288,520,474,477,292,189,427,446,150,461,459,54,45,53,52,59,25,14,27,3,2,13,28,12,51,9])).
% 1.26/1.44 cnf(611,plain,
% 1.26/1.44 (E(f12(x6111,f12(a1,a5)),f12(x6111,f12(a1,a10)))),
% 1.26/1.44 inference(scs_inference,[],[84,40,526,557,553,562,560,566,288,520,474,477,292,189,427,446,150,461,459,54,45,53,52,59,25,14,27,3,2,13,28,12,51,9,8,7])).
% 1.26/1.44 cnf(614,plain,
% 1.26/1.44 (E(f12(f12(a1,a5),x6141),f12(f12(a1,a10),x6141))),
% 1.26/1.44 inference(scs_inference,[],[84,40,526,557,553,562,560,566,288,520,474,477,292,189,427,446,150,461,459,54,45,53,52,59,25,14,27,3,2,13,28,12,51,9,8,7,50,6])).
% 1.26/1.44 cnf(615,plain,
% 1.26/1.44 (E(f2(f12(a1,a5),x6151),f2(f12(a1,a10),x6151))),
% 1.26/1.44 inference(scs_inference,[],[84,40,526,557,553,562,560,566,288,520,474,477,292,189,427,446,150,461,459,54,45,53,52,59,25,14,27,3,2,13,28,12,51,9,8,7,50,6,4])).
% 1.26/1.44 cnf(618,plain,
% 1.26/1.44 (P7(f12(f12(a1,a5),f12(a1,a5)),f12(f12(a1,a5),f12(a1,a5)))),
% 1.26/1.44 inference(scs_inference,[],[84,40,77,526,557,553,562,560,566,288,520,474,477,292,189,427,446,150,461,459,54,45,53,52,59,25,14,27,3,2,13,28,12,51,9,8,7,50,6,4,22,5,26])).
% 1.26/1.44 cnf(635,plain,
% 1.26/1.44 (~E(f12(a1,a10),f12(a1,a5))),
% 1.26/1.44 inference(scs_inference,[],[604,73])).
% 1.26/1.44 cnf(641,plain,
% 1.26/1.44 (~P11(a9,f12(a1,a5))),
% 1.26/1.44 inference(scs_inference,[],[37,587,593,559,201,193,295,52,59,25,27])).
% 1.26/1.44 cnf(642,plain,
% 1.26/1.44 (~E(f12(a1,a5),f12(a1,a11))),
% 1.26/1.44 inference(scs_inference,[],[37,587,593,559,201,348,193,459,295,52,59,25,27,3])).
% 1.26/1.44 cnf(643,plain,
% 1.26/1.44 (~E(f12(a1,a5),a9)),
% 1.26/1.44 inference(scs_inference,[],[37,587,593,534,559,201,348,193,459,295,52,59,25,27,3,2])).
% 1.26/1.44 cnf(647,plain,
% 1.26/1.44 (E(f12(a1,a10),f12(a1,a5))+P5(f12(a1,a10),f12(a1,a5))),
% 1.26/1.44 inference(scs_inference,[],[37,587,597,593,534,475,559,201,348,288,193,459,295,52,59,25,27,3,2,28,13,26,54])).
% 1.26/1.44 cnf(651,plain,
% 1.26/1.44 (P10(f12(x6511,f12(a1,a5)),f12(x6511,f12(a1,a10)))),
% 1.26/1.44 inference(scs_inference,[],[37,611,587,597,593,534,475,559,201,348,560,288,193,459,295,52,59,25,27,3,2,28,13,26,54,53,44])).
% 1.26/1.44 cnf(653,plain,
% 1.26/1.44 (P11(f2(a1,a10),f2(a1,a11))),
% 1.26/1.44 inference(scs_inference,[],[37,611,587,597,593,534,475,559,201,199,348,560,288,188,193,459,295,52,59,25,27,3,2,28,13,26,54,53,44,46])).
% 1.26/1.44 cnf(678,plain,
% 1.26/1.44 (P5(f12(a1,a10),f12(a1,a5))),
% 1.26/1.44 inference(scs_inference,[],[635,647])).
% 1.26/1.44 cnf(683,plain,
% 1.26/1.44 (~E(a10,a5)),
% 1.26/1.44 inference(scs_inference,[],[642,635,609,557,54,45,7])).
% 1.26/1.44 cnf(686,plain,
% 1.26/1.44 (~P11(f12(a1,a11),a13)),
% 1.26/1.44 inference(scs_inference,[],[642,641,635,609,463,534,557,54,45,7,53,52])).
% 1.26/1.44 cnf(688,plain,
% 1.26/1.44 (P7(f3(f12(a1,a10)),f3(f12(a1,a10)))),
% 1.26/1.44 inference(scs_inference,[],[642,641,635,609,463,534,557,54,45,7,53,52,25])).
% 1.26/1.44 cnf(690,plain,
% 1.26/1.44 (E(f12(f12(a1,a5),x6901),f12(f12(a1,a10),x6901))),
% 1.26/1.44 inference(rename_variables,[],[614])).
% 1.26/1.44 cnf(692,plain,
% 1.26/1.44 (~P10(f12(a1,a11),f12(a1,a5))),
% 1.26/1.44 inference(scs_inference,[],[651,642,641,635,609,463,614,534,557,124,54,45,7,53,52,25,15,14])).
% 1.26/1.44 cnf(695,plain,
% 1.26/1.44 (E(f3(f12(a1,a10)),f3(f12(a1,a5)))),
% 1.26/1.44 inference(scs_inference,[],[651,642,641,635,609,463,600,614,534,557,345,124,54,45,7,53,52,25,15,14,3,2])).
% 1.26/1.44 cnf(696,plain,
% 1.26/1.44 (P11(a15,a9)),
% 1.26/1.44 inference(scs_inference,[],[651,642,555,641,635,609,463,600,614,534,557,345,124,54,45,7,53,52,25,15,14,3,2,28])).
% 1.26/1.44 cnf(697,plain,
% 1.26/1.44 (P7(f12(f12(a1,a5),f12(a1,a5)),f12(f12(a1,a10),f12(a1,a5)))),
% 1.26/1.44 inference(scs_inference,[],[651,642,618,555,641,635,609,463,600,614,690,534,557,345,124,54,45,7,53,52,25,15,14,3,2,28,26])).
% 1.26/1.44 cnf(717,plain,
% 1.26/1.44 (~P7(f12(a1,a5),a9)),
% 1.26/1.44 inference(scs_inference,[],[643,464,54])).
% 1.26/1.44 cnf(719,plain,
% 1.26/1.44 (E(f12(x7191,f12(a1,a11)),f12(x7191,a9))),
% 1.26/1.44 inference(scs_inference,[],[643,464,124,54,7])).
% 1.26/1.44 cnf(720,plain,
% 1.26/1.44 (P5(a14,f12(a1,a5))),
% 1.26/1.44 inference(scs_inference,[],[599,643,464,124,54,7,52])).
% 1.26/1.44 cnf(722,plain,
% 1.26/1.44 (~P5(f12(a1,a5),f12(a1,a10))),
% 1.26/1.44 inference(scs_inference,[],[678,599,643,464,124,54,7,52,57])).
% 1.26/1.44 cnf(728,plain,
% 1.26/1.44 (P10(f2(f12(a1,a10),f12(a1,a10)),f2(f12(a1,a5),a8))),
% 1.26/1.44 inference(scs_inference,[],[678,697,528,599,643,615,464,614,416,109,124,54,7,52,57,25,15,14])).
% 1.26/1.44 cnf(736,plain,
% 1.26/1.44 (~E(f12(a1,a10),a15)),
% 1.26/1.44 inference(scs_inference,[],[678,688,697,695,528,683,599,603,643,615,502,605,464,614,416,472,109,124,459,54,7,52,57,25,15,14,3,2,26,28,12])).
% 1.26/1.44 cnf(737,plain,
% 1.26/1.44 (P5(f12(a1,a10),a8)),
% 1.26/1.44 inference(scs_inference,[],[678,688,697,695,528,683,599,603,643,615,502,605,464,614,416,472,109,124,459,431,54,7,52,57,25,15,14,3,2,26,28,12,13])).
% 1.26/1.44 cnf(754,plain,
% 1.26/1.44 (P10(f12(x7541,f12(a1,a11)),f12(x7541,a9))),
% 1.26/1.44 inference(scs_inference,[],[719,44])).
% 1.26/1.44 cnf(761,plain,
% 1.26/1.44 (~P10(f12(a1,a11),a8)),
% 1.26/1.44 inference(scs_inference,[],[722,737,719,717,692,459,44,52,57,25,15])).
% 1.26/1.44 cnf(765,plain,
% 1.26/1.44 (~E(a8,a15)),
% 1.26/1.44 inference(scs_inference,[],[722,737,719,728,717,736,692,686,384,193,459,261,44,52,57,25,15,14,27,3])).
% 1.26/1.44 cnf(766,plain,
% 1.26/1.44 (E(f12(x7661,a9),f12(x7661,f12(a1,a11)))),
% 1.26/1.44 inference(scs_inference,[],[722,737,719,728,717,736,692,686,384,193,459,261,44,52,57,25,15,14,27,3,2])).
% 1.26/1.44 cnf(767,plain,
% 1.26/1.44 (~P5(f12(a1,a10),f12(a1,a10))),
% 1.26/1.44 inference(scs_inference,[],[722,737,719,728,717,736,692,686,384,193,459,261,44,52,57,25,15,14,27,3,2,12])).
% 1.26/1.44 cnf(776,plain,
% 1.26/1.44 (P11(a8,f12(a1,a10))),
% 1.26/1.44 inference(scs_inference,[],[85,722,737,719,728,717,736,692,686,641,566,384,193,459,261,44,52,57,25,15,14,27,3,2,12,28,13,51,49,9,8,50])).
% 1.26/1.44 cnf(778,plain,
% 1.26/1.44 (E(f12(a9,x7781),f12(f12(a1,a11),x7781))),
% 1.26/1.44 inference(scs_inference,[],[85,722,737,719,728,717,736,692,686,641,566,384,193,459,261,44,52,57,25,15,14,27,3,2,12,28,13,51,49,9,8,50,6])).
% 1.26/1.44 cnf(807,plain,
% 1.26/1.44 (E(f12(x8071,a9),f12(x8071,f12(a1,a11)))),
% 1.26/1.44 inference(rename_variables,[],[766])).
% 1.26/1.44 cnf(815,plain,
% 1.26/1.44 ($false),
% 1.26/1.44 inference(scs_inference,[],[767,754,766,807,778,696,761,776,765,720,653,737,374,295,261,193,49,45,53,52,57,25,15,14,27,2,3,12,13]),
% 1.26/1.44 ['proof']).
% 1.26/1.44 % SZS output end Proof
% 1.26/1.44 % Total time :0.780000s
%------------------------------------------------------------------------------