TSTP Solution File: MGT062+1 by CSE---1.7
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%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : MGT062+1 : TPTP v8.2.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n014.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 : Mon Jun 24 11:45:30 EDT 2024
% Result : Theorem 135.28s 135.59s
% Output : CNFRefutation 135.28s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : MGT062+1 : TPTP v8.2.0. Released v2.4.0.
% 0.08/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34 % Computer : n014.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Jun 19 18:05:09 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.19/0.58 start to proof:theBenchmark
% 135.25/135.57 %-------------------------------------------
% 135.25/135.57 % File :CSE---1.7
% 135.25/135.57 % Problem :theBenchmark
% 135.25/135.57 % Transform :cnf
% 135.25/135.57 % Format :tptp:raw
% 135.25/135.57 % Command :java -jar mcs_scs.jar %d %s
% 135.25/135.57
% 135.25/135.57 % Result :Theorem 134.660000s
% 135.25/135.57 % Output :CNFRefutation 134.660000s
% 135.25/135.57 %-------------------------------------------
% 135.28/135.58 %--------------------------------------------------------------------------
% 135.28/135.58 % File : MGT062+1 : TPTP v8.2.0. Released v2.4.0.
% 135.28/135.58 % Domain : Management (Organisation Theory)
% 135.28/135.58 % Problem : Condictions for decreasing hazard of mortality
% 135.28/135.58 % Version : [Han98] axioms.
% 135.28/135.58 % English : If environmental drift destroys alignment exactly when advantage
% 135.28/135.58 % can be gained from occupancy of a robust position, then the
% 135.28/135.58 % hazard of mortality for an unendowed organization with a robust
% 135.28/135.58 % position decreases with age.
% 135.28/135.58
% 135.28/135.58 % Refs : [Kam00] Kamps (2000), Email to G. Sutcliffe
% 135.28/135.58 % : [CH00] Carroll & Hannan (2000), The Demography of Corporation
% 135.28/135.58 % : [Han98] Hannan (1998), Rethinking Age Dependence in Organizati
% 135.28/135.58 % Source : [Kam00]
% 135.28/135.58 % Names : THEOREM 8 [Han98]
% 135.28/135.58
% 135.28/135.58 % Status : Theorem
% 135.28/135.58 % Rating : 0.31 v8.2.0, 0.25 v8.1.0, 0.22 v7.5.0, 0.25 v7.4.0, 0.20 v7.3.0, 0.24 v7.2.0, 0.21 v7.1.0, 0.22 v7.0.0, 0.17 v6.4.0, 0.19 v6.3.0, 0.21 v6.2.0, 0.20 v6.1.0, 0.33 v6.0.0, 0.35 v5.5.0, 0.44 v5.4.0, 0.43 v5.3.0, 0.44 v5.2.0, 0.35 v5.1.0, 0.38 v4.1.0, 0.35 v4.0.0, 0.33 v3.7.0, 0.35 v3.5.0, 0.32 v3.4.0, 0.21 v3.2.0, 0.36 v3.1.0, 0.56 v2.7.0, 0.33 v2.4.0
% 135.28/135.58 % Syntax : Number of formulae : 14 ( 1 unt; 0 def)
% 135.28/135.58 % Number of atoms : 63 ( 13 equ)
% 135.28/135.58 % Maximal formula atoms : 16 ( 4 avg)
% 135.28/135.58 % Number of connectives : 60 ( 11 ~; 4 |; 24 &)
% 135.28/135.58 % ( 7 <=>; 14 =>; 0 <=; 0 <~>)
% 135.28/135.58 % Maximal formula depth : 14 ( 6 avg)
% 135.28/135.58 % Maximal term depth : 2 ( 1 avg)
% 135.28/135.58 % Number of predicates : 12 ( 11 usr; 0 prp; 1-3 aty)
% 135.28/135.58 % Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% 135.28/135.58 % Number of variables : 31 ( 31 !; 0 ?)
% 135.28/135.58 % SPC : FOF_THM_RFO_SEQ
% 135.28/135.58
% 135.28/135.58 % Comments : See MGT042+1.p for the mnemonic names.
% 135.28/135.58 %--------------------------------------------------------------------------
% 135.28/135.59 include('Axioms/MGT001+0.ax').
% 135.28/135.59 %--------------------------------------------------------------------------
% 135.28/135.59 %----Problem Axioms
% 135.28/135.59 %----An unendowed organization never possesses immunity.
% 135.28/135.59 fof(assumption_1,axiom,
% 135.28/135.59 ! [X,T] :
% 135.28/135.59 ( ( organization(X)
% 135.28/135.59 & ~ has_endowment(X) )
% 135.28/135.59 => ~ has_immunity(X,T) ) ).
% 135.28/135.59
% 135.28/135.59 %----Two states of the environment are dissimilar for an organization
% 135.28/135.59 %----if and only if the organization cannot be aligned to both.
% 135.28/135.59 %----
% 135.28/135.59 %----Added quantification over X.
% 135.28/135.59 fof(definition_2,axiom,
% 135.28/135.59 ! [X,T0,T] :
% 135.28/135.59 ( dissimilar(X,T0,T)
% 135.28/135.59 <=> ( organization(X)
% 135.28/135.59 & ~ ( is_aligned(X,T0)
% 135.28/135.59 <=> is_aligned(X,T) ) ) ) ).
% 135.28/135.59
% 135.28/135.59 %----An organization is aligned with the state of the environment at
% 135.28/135.59 %----its time of founding.
% 135.28/135.59 fof(assumption_13,axiom,
% 135.28/135.59 ! [X,T] :
% 135.28/135.59 ( ( organization(X)
% 135.28/135.59 & age(X,T) = zero )
% 135.28/135.59 => is_aligned(X,T) ) ).
% 135.28/135.59
% 135.28/135.59 %----Environmental drift: the environments at times separated by more
% 135.28/135.59 %----than `sigma' are dissimilar.
% 135.28/135.59 fof(assumption_15,axiom,
% 135.28/135.59 ! [X,T0,T] :
% 135.28/135.59 ( ( organization(X)
% 135.28/135.59 & age(X,T0) = zero )
% 135.28/135.59 => ( greater(age(X,T),sigma)
% 135.28/135.59 <=> dissimilar(X,T0,T) ) ) ).
% 135.28/135.59
% 135.28/135.59 %----An organization's position is robust if and only if it provides
% 135.28/135.59 %----positional advantage only after age `tau'.
% 135.28/135.59 %----
% 135.28/135.59 %----Text says fragile_position(X) instead of robust_position(X).
% 135.28/135.59 %----Interchanged ~ positional_advantage(X,T) and positional_advantage(X,T).
% 135.28/135.59 fof(definition_4,axiom,
% 135.28/135.59 ! [X] :
% 135.28/135.59 ( robust_position(X)
% 135.28/135.59 <=> ! [T] :
% 135.28/135.59 ( ( smaller_or_equal(age(X,T),tau)
% 135.28/135.59 => ~ positional_advantage(X,T) )
% 135.28/135.59 & ( greater(age(X,T),tau)
% 135.28/135.59 => positional_advantage(X,T) ) ) ) ).
% 135.28/135.59
% 135.28/135.59 %----An organization's immunity. alignment of capability with the
% 135.28/135.59 %----current state of the environment and positional advantage jointly
% 135.28/135.59 %----affect the hazard of mortality with the following ordinal scaling:
% 135.28/135.59 fof(assumption_17,axiom,
% 135.28/135.59 ! [X,T] :
% 135.28/135.59 ( organization(X)
% 135.28/135.59 => ( ( has_immunity(X,T)
% 135.28/135.59 => hazard_of_mortality(X,T) = very_low )
% 135.28/135.59 & ( ~ has_immunity(X,T)
% 135.28/135.59 => ( ( ( is_aligned(X,T)
% 135.28/135.59 & positional_advantage(X,T) )
% 135.28/135.59 => hazard_of_mortality(X,T) = low )
% 135.28/135.59 & ( ( ~ is_aligned(X,T)
% 135.28/135.59 & positional_advantage(X,T) )
% 135.28/135.59 => hazard_of_mortality(X,T) = mod1 )
% 135.28/135.59 & ( ( is_aligned(X,T)
% 135.28/135.59 & ~ positional_advantage(X,T) )
% 135.28/135.59 => hazard_of_mortality(X,T) = mod2 )
% 135.28/135.59 & ( ( ~ is_aligned(X,T)
% 135.28/135.59 & ~ positional_advantage(X,T) )
% 135.28/135.59 => hazard_of_mortality(X,T) = high ) ) ) ) ) ).
% 135.28/135.59
% 135.28/135.59 %----Position dominates alignment:
% 135.28/135.59 fof(assumption_19,axiom,
% 135.28/135.59 greater(mod2,mod1) ).
% 135.28/135.59
% 135.28/135.59 %----Problem theorems
% 135.28/135.59 %----Robust position without endowment when (`sigma' = `tau'): If
% 135.28/135.59 %----environmental drift destroys alignment exactly when advantage can
% 135.28/135.59 %----be gained from occupancy of a robust position (`sigma' = `tau'), then
% 135.28/135.59 %----the hazard of mortality for an unendowed organization with a
% 135.28/135.59 %----robust position decreases with age.
% 135.28/135.59 %----From D2, D4 and A1, A13, A15, A17 (text says D1,2 and A1,2,13-15,17-19;
% 135.28/135.59 %----also needs D<, D<=).
% 135.28/135.59 %----
% 135.28/135.59 %----Added (`sigma' = `tau') in antecedent
% 135.28/135.59 %----and (hazard_of_mortality(X,T1) = hazard_of_mortality(X,T0)).
% 135.28/135.59 fof(theorem_8,conjecture,
% 135.28/135.59 ! [X,T0,T1,T2] :
% 135.28/135.59 ( ( organization(X)
% 135.28/135.59 & robust_position(X)
% 135.28/135.59 & ~ has_endowment(X)
% 135.28/135.59 & age(X,T0) = zero
% 135.28/135.59 & greater(sigma,zero)
% 135.28/135.59 & greater(tau,zero)
% 135.28/135.59 & sigma = tau
% 135.28/135.59 & smaller_or_equal(age(X,T1),sigma)
% 135.28/135.59 & greater(age(X,T2),sigma) )
% 135.28/135.59 => ( smaller(hazard_of_mortality(X,T2),hazard_of_mortality(X,T1))
% 135.28/135.59 & hazard_of_mortality(X,T1) = hazard_of_mortality(X,T0) ) ) ).
% 135.28/135.59
% 135.28/135.59 %--------------------------------------------------------------------------
% 135.28/135.59 %-------------------------------------------
% 135.28/135.59 % Proof found
% 135.28/135.59 % SZS status Theorem for theBenchmark
% 135.28/135.59 % SZS output start Proof
% 135.28/135.59 %ClaNum:74(EqnAxiom:31)
% 135.28/135.59 %VarNum:183(SingletonVarNum:68)
% 135.28/135.59 %MaxLitNum:4
% 135.28/135.59 %MaxfuncDepth:2
% 135.28/135.59 %SharedTerms:30
% 135.28/135.59 %goalClause: 32 33 34 35 36 37 39 40 41 71
% 135.28/135.59 %singleGoalClaCount:9
% 135.28/135.59 [32]E(a1,a2)
% 135.28/135.59 [33]P1(a3)
% 135.28/135.59 [34]P9(a3)
% 135.28/135.59 [36]P2(a2,a15)
% 135.28/135.59 [37]P2(a1,a15)
% 135.28/135.59 [38]P2(a8,a9)
% 135.28/135.59 [41]~P5(a3)
% 135.28/135.59 [35]E(f4(a3,a7),a15)
% 135.28/135.59 [39]P11(f4(a3,a10),a2)
% 135.28/135.59 [40]P2(f4(a3,a11),a2)
% 135.28/135.59 [71]~P12(f12(a3,a11),f12(a3,a10))+~E(f12(a3,a10),f12(a3,a7))
% 135.28/135.59 [42]~E(x421,x422)+P11(x421,x422)
% 135.28/135.59 [43]~E(x431,x432)+P6(x431,x432)
% 135.28/135.59 [47]~P12(x471,x472)+P11(x471,x472)
% 135.28/135.59 [48]~P2(x482,x481)+P12(x481,x482)
% 135.28/135.59 [49]~P2(x491,x492)+P6(x491,x492)
% 135.28/135.59 [50]~P12(x502,x501)+P2(x501,x502)
% 135.28/135.59 [55]~P2(x552,x551)+~P2(x551,x552)
% 135.28/135.59 [65]P1(x651)+~P4(x651,x652,x653)
% 135.28/135.59 [56]P9(x561)+P10(x561,f5(x561))+~P10(x561,f6(x561))
% 135.28/135.59 [61]P9(x611)+P10(x611,f5(x611))+P2(f4(x611,f6(x611)),a1)
% 135.28/135.59 [64]P9(x641)+~P10(x641,f6(x641))+P11(f4(x641,f5(x641)),a1)
% 135.28/135.59 [69]P9(x691)+P11(f4(x691,f5(x691)),a1)+P2(f4(x691,f6(x691)),a1)
% 135.28/135.59 [44]P12(x441,x442)+P2(x441,x442)+E(x441,x442)
% 135.28/135.59 [45]~P1(x451)+P5(x451)+~P7(x451,x452)
% 135.28/135.59 [46]P3(x461,x462)+~P1(x461)+P7(x461,x462)
% 135.28/135.59 [51]P12(x511,x512)+~P11(x511,x512)+E(x511,x512)
% 135.28/135.59 [52]P2(x521,x522)+~P6(x521,x522)+E(x521,x522)
% 135.28/135.59 [53]~P1(x531)+~P7(x531,x532)+E(f12(x531,x532),a16)
% 135.28/135.59 [54]~P1(x541)+P8(x541,x542)+~E(f4(x541,x542),a15)
% 135.28/135.59 [62]~P9(x621)+P10(x621,x622)+~P2(f4(x621,x622),a1)
% 135.28/135.59 [66]~P9(x661)+~P10(x661,x662)+~P11(f4(x661,x662),a1)
% 135.28/135.59 [57]~P2(x571,x573)+P2(x571,x572)+~P2(x573,x572)
% 135.28/135.59 [70]~P4(x701,x703,x702)+P8(x701,x702)+P8(x701,x703)
% 135.28/135.59 [72]~P4(x721,x723,x722)+~P8(x721,x722)+~P8(x721,x723)
% 135.28/135.60 [58]P8(x581,x582)+P10(x581,x582)+~P3(x581,x582)+E(f12(x581,x582),a13)
% 135.28/135.60 [59]P8(x591,x592)+~P10(x591,x592)+~P3(x591,x592)+E(f12(x591,x592),a9)
% 135.28/135.60 [60]P10(x601,x602)+~P8(x601,x602)+~P3(x601,x602)+E(f12(x601,x602),a8)
% 135.28/135.60 [63]~P8(x631,x632)+~P10(x631,x632)+~P3(x631,x632)+E(f12(x631,x632),a14)
% 135.28/135.60 [67]~P1(x671)+~P8(x671,x673)+P8(x671,x672)+P4(x671,x672,x673)
% 135.28/135.60 [68]~P1(x681)+~P8(x681,x683)+P8(x681,x682)+P4(x681,x683,x682)
% 135.28/135.60 [73]~P1(x731)+P4(x731,x732,x733)+~E(f4(x731,x732),a15)+~P2(f4(x731,x733),a2)
% 135.28/135.60 [74]~P1(x741)+~P4(x741,x743,x742)+P2(f4(x741,x742),a2)+~E(f4(x741,x743),a15)
% 135.28/135.60 %EqnAxiom
% 135.28/135.60 [1]E(x11,x11)
% 135.28/135.60 [2]E(x22,x21)+~E(x21,x22)
% 135.28/135.60 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 135.28/135.60 [4]~E(x41,x42)+E(f4(x41,x43),f4(x42,x43))
% 135.28/135.60 [5]~E(x51,x52)+E(f4(x53,x51),f4(x53,x52))
% 135.28/135.60 [6]~E(x61,x62)+E(f12(x61,x63),f12(x62,x63))
% 135.28/135.60 [7]~E(x71,x72)+E(f12(x73,x71),f12(x73,x72))
% 135.28/135.60 [8]~E(x81,x82)+E(f6(x81),f6(x82))
% 135.28/135.60 [9]~E(x91,x92)+E(f5(x91),f5(x92))
% 135.28/135.60 [10]~P1(x101)+P1(x102)+~E(x101,x102)
% 135.28/135.60 [11]~P9(x111)+P9(x112)+~E(x111,x112)
% 135.28/135.60 [12]P2(x122,x123)+~E(x121,x122)+~P2(x121,x123)
% 135.28/135.60 [13]P2(x133,x132)+~E(x131,x132)+~P2(x133,x131)
% 135.28/135.60 [14]P11(x142,x143)+~E(x141,x142)+~P11(x141,x143)
% 135.28/135.60 [15]P11(x153,x152)+~E(x151,x152)+~P11(x153,x151)
% 135.28/135.60 [16]P8(x162,x163)+~E(x161,x162)+~P8(x161,x163)
% 135.28/135.60 [17]P8(x173,x172)+~E(x171,x172)+~P8(x173,x171)
% 135.28/135.60 [18]P10(x182,x183)+~E(x181,x182)+~P10(x181,x183)
% 135.28/135.60 [19]P10(x193,x192)+~E(x191,x192)+~P10(x193,x191)
% 135.28/135.60 [20]P4(x202,x203,x204)+~E(x201,x202)+~P4(x201,x203,x204)
% 135.28/135.60 [21]P4(x213,x212,x214)+~E(x211,x212)+~P4(x213,x211,x214)
% 135.28/135.60 [22]P4(x223,x224,x222)+~E(x221,x222)+~P4(x223,x224,x221)
% 135.28/135.60 [23]~P5(x231)+P5(x232)+~E(x231,x232)
% 135.28/135.60 [24]P7(x242,x243)+~E(x241,x242)+~P7(x241,x243)
% 135.28/135.60 [25]P7(x253,x252)+~E(x251,x252)+~P7(x253,x251)
% 135.28/135.60 [26]P6(x262,x263)+~E(x261,x262)+~P6(x261,x263)
% 135.28/135.60 [27]P6(x273,x272)+~E(x271,x272)+~P6(x273,x271)
% 135.28/135.60 [28]P12(x282,x283)+~E(x281,x282)+~P12(x281,x283)
% 135.28/135.60 [29]P12(x293,x292)+~E(x291,x292)+~P12(x293,x291)
% 135.28/135.60 [30]P3(x302,x303)+~E(x301,x302)+~P3(x301,x303)
% 135.28/135.60 [31]P3(x313,x312)+~E(x311,x312)+~P3(x313,x311)
% 135.28/135.60
% 135.28/135.60 %-------------------------------------------
% 135.28/135.61 cnf(75,plain,
% 135.28/135.61 (P11(x751,x751)),
% 135.28/135.61 inference(equality_inference,[],[42])).
% 135.28/135.61 cnf(76,plain,
% 135.28/135.61 (P6(x761,x761)),
% 135.28/135.61 inference(equality_inference,[],[43])).
% 135.28/135.61 cnf(77,plain,
% 135.28/135.61 (E(a2,a1)),
% 135.28/135.61 inference(scs_inference,[],[32,2])).
% 135.28/135.61 cnf(78,plain,
% 135.28/135.61 (~P2(a15,a2)),
% 135.28/135.61 inference(scs_inference,[],[32,36,2,55])).
% 135.28/135.61 cnf(80,plain,
% 135.28/135.61 (~E(f4(a3,a11),a15)),
% 135.28/135.61 inference(scs_inference,[],[32,36,40,2,55,12])).
% 135.28/135.61 cnf(81,plain,
% 135.28/135.61 (P2(f4(a3,a11),a1)),
% 135.28/135.61 inference(scs_inference,[],[32,36,40,2,55,12,13])).
% 135.28/135.61 cnf(87,plain,
% 135.28/135.61 (P3(a3,x871)),
% 135.28/135.61 inference(scs_inference,[],[32,33,36,41,39,40,75,2,55,12,13,14,15,45,46])).
% 135.28/135.61 cnf(89,plain,
% 135.28/135.61 (P8(a3,a7)),
% 135.28/135.61 inference(scs_inference,[],[32,33,36,41,35,39,40,75,2,55,12,13,14,15,45,46,54])).
% 135.28/135.61 cnf(91,plain,
% 135.28/135.61 (P2(f4(a3,a11),a15)),
% 135.28/135.61 inference(scs_inference,[],[32,33,36,41,35,39,40,75,2,55,12,13,14,15,45,46,54,57])).
% 135.28/135.61 cnf(93,plain,
% 135.28/135.61 (P10(a3,a11)),
% 135.28/135.61 inference(scs_inference,[],[32,33,34,36,41,35,39,40,75,2,55,12,13,14,15,45,46,54,57,62])).
% 135.28/135.61 cnf(95,plain,
% 135.28/135.61 (~P10(a3,a10)),
% 135.28/135.61 inference(scs_inference,[],[32,33,34,36,41,35,39,40,75,2,55,12,13,14,15,45,46,54,57,62,66])).
% 135.28/135.61 cnf(101,plain,
% 135.28/135.61 (P6(x1011,x1011)),
% 135.28/135.61 inference(rename_variables,[],[76])).
% 135.28/135.61 cnf(104,plain,
% 135.28/135.61 (P4(a3,a7,a11)),
% 135.28/135.61 inference(scs_inference,[],[32,33,34,36,41,35,39,40,75,76,101,2,55,12,13,14,15,45,46,54,57,62,66,72,19,26,27,73])).
% 135.28/135.61 cnf(108,plain,
% 135.28/135.61 (~E(f4(a3,a11),f4(a3,a7))),
% 135.28/135.61 inference(scs_inference,[],[32,33,34,36,41,35,39,40,75,76,101,2,55,12,13,14,15,45,46,54,57,62,66,72,19,26,27,73,50,3])).
% 135.28/135.61 cnf(114,plain,
% 135.28/135.61 (E(a15,f4(a3,a7))),
% 135.28/135.61 inference(scs_inference,[],[35,2])).
% 135.28/135.61 cnf(117,plain,
% 135.28/135.61 (~P2(a15,f4(a3,a11))),
% 135.28/135.61 inference(scs_inference,[],[37,35,40,78,2,55,57])).
% 135.28/135.61 cnf(121,plain,
% 135.28/135.61 (P2(a1,f4(a3,a7))),
% 135.28/135.61 inference(scs_inference,[],[32,37,35,40,75,78,2,55,57,15,13])).
% 135.28/135.61 cnf(122,plain,
% 135.28/135.61 (P2(a2,f4(a3,a7))),
% 135.28/135.61 inference(scs_inference,[],[32,37,35,40,75,78,2,55,57,15,13,12])).
% 135.28/135.61 cnf(136,plain,
% 135.28/135.61 (~P12(f4(a3,a11),a15)),
% 135.28/135.61 inference(scs_inference,[],[117,50])).
% 135.28/135.61 cnf(138,plain,
% 135.28/135.61 (~P2(a2,f4(a3,a11))),
% 135.28/135.61 inference(scs_inference,[],[40,117,50,55])).
% 135.28/135.61 cnf(140,plain,
% 135.28/135.61 (P2(f4(a3,a11),f4(a3,a7))),
% 135.28/135.61 inference(scs_inference,[],[40,81,121,117,50,55,57])).
% 135.28/135.61 cnf(142,plain,
% 135.28/135.61 (~E(a15,f4(a3,a11))),
% 135.28/135.61 inference(scs_inference,[],[36,40,81,121,117,50,55,57,13])).
% 135.28/135.61 cnf(152,plain,
% 135.28/135.61 (~P2(a1,f4(a3,a11))),
% 135.28/135.61 inference(scs_inference,[],[81,138,50,55])).
% 135.28/135.61 cnf(171,plain,
% 135.28/135.61 (~P2(f4(a3,a7),a1)),
% 135.28/135.61 inference(scs_inference,[],[121,152,50,55])).
% 135.28/135.61 cnf(188,plain,
% 135.28/135.61 (~P2(f4(a3,a7),f4(a3,a11))),
% 135.28/135.61 inference(scs_inference,[],[81,122,171,50,55,57])).
% 135.28/135.61 cnf(201,plain,
% 135.28/135.61 (~P12(f4(a3,a11),f4(a3,a7))),
% 135.28/135.61 inference(scs_inference,[],[188,50])).
% 135.28/135.61 cnf(203,plain,
% 135.28/135.61 (~P2(a9,a8)),
% 135.28/135.61 inference(scs_inference,[],[188,38,50,55])).
% 135.28/135.61 cnf(226,plain,
% 135.28/135.61 (~P2(x2261,a8)+P2(x2261,a9)),
% 135.28/135.61 inference(scs_inference,[],[38,203,50,57])).
% 135.28/135.61 cnf(273,plain,
% 135.28/135.61 (P2(x2731,a9)+~E(a8,x2731)),
% 135.28/135.61 inference(scs_inference,[],[77,38,11,12])).
% 135.28/135.61 cnf(294,plain,
% 135.28/135.61 (P11(a15,a1)),
% 135.28/135.61 inference(scs_inference,[],[37,48,47])).
% 135.28/135.61 cnf(297,plain,
% 135.28/135.61 (~P10(a3,a7)),
% 135.28/135.61 inference(scs_inference,[],[32,34,114,294,14,15,66])).
% 135.28/135.61 cnf(322,plain,
% 135.28/135.61 (P12(a9,x3221)+~P2(x3221,a8)),
% 135.28/135.61 inference(scs_inference,[],[226,48])).
% 135.28/135.61 cnf(333,plain,
% 135.28/135.61 (~P2(a15,a8)+P12(a9,a2)),
% 135.28/135.61 inference(scs_inference,[],[36,322,57])).
% 135.28/135.61 cnf(334,plain,
% 135.28/135.61 (~P12(a8,a15)+P12(a9,a2)),
% 135.28/135.61 inference(scs_inference,[],[333,50])).
% 135.28/135.61 cnf(335,plain,
% 135.28/135.61 (~P12(a8,f4(a3,a7))+P12(a9,a2)),
% 135.28/135.61 inference(scs_inference,[],[35,334,29])).
% 135.28/135.61 cnf(344,plain,
% 135.28/135.61 (E(f5(f12(x3441,f4(a3,a7))),f5(f12(x3441,a15)))),
% 135.28/135.61 inference(scs_inference,[],[35,9,7])).
% 135.28/135.61 cnf(374,plain,
% 135.28/135.61 (~P2(f4(a3,a7),a8)+P12(a9,a2)),
% 135.28/135.61 inference(scs_inference,[],[335,48])).
% 135.28/135.61 cnf(404,plain,
% 135.28/135.61 (E(f4(a3,a7),a8)+P12(f4(a3,a7),a8)+P12(a9,a2)),
% 135.28/135.61 inference(scs_inference,[],[374,44])).
% 135.28/135.61 cnf(519,plain,
% 135.28/135.61 (P2(a2,a8)+P12(f4(a3,a7),a8)+P12(a9,a2)),
% 135.28/135.61 inference(scs_inference,[],[122,404,13])).
% 135.28/135.61 cnf(520,plain,
% 135.28/135.61 (P11(f4(a3,a7),a8)+P2(a2,a8)+P12(a9,a2)),
% 135.28/135.61 inference(scs_inference,[],[519,47])).
% 135.28/135.61 cnf(521,plain,
% 135.28/135.61 (P11(a15,a8)+P2(a2,a8)+P12(a9,a2)),
% 135.28/135.61 inference(scs_inference,[],[35,520,14])).
% 135.28/135.61 cnf(522,plain,
% 135.28/135.61 (P12(a9,a2)+P11(a15,a8)),
% 135.28/135.61 inference(scs_inference,[],[521,322])).
% 135.28/135.61 cnf(523,plain,
% 135.28/135.61 (P2(a2,a9)+P11(a15,a8)),
% 135.28/135.61 inference(scs_inference,[],[522,50])).
% 135.28/135.61 cnf(524,plain,
% 135.28/135.61 (P6(a2,a9)+P11(a15,a8)),
% 135.28/135.61 inference(scs_inference,[],[523,49])).
% 135.28/135.61 cnf(525,plain,
% 135.28/135.61 (P6(a1,a9)+P11(a15,a8)),
% 135.28/135.61 inference(scs_inference,[],[77,524,26])).
% 135.28/135.61 cnf(526,plain,
% 135.28/135.61 (P6(a1,x5261)+~E(a9,x5261)+P11(a15,a8)),
% 135.28/135.61 inference(scs_inference,[],[525,27])).
% 135.28/135.61 cnf(564,plain,
% 135.28/135.61 (~P3(a3,a11)+P8(a3,a11)+E(f12(a3,a11),a9)),
% 135.28/135.61 inference(scs_inference,[],[87,81,34,59,62])).
% 135.28/135.61 cnf(567,plain,
% 135.28/135.61 (E(a9,f12(a3,a11))+P8(a3,a11)),
% 135.28/135.61 inference(scs_inference,[],[87,564,2])).
% 135.28/135.61 cnf(1125,plain,
% 135.28/135.61 (E(f4(a15,x11251),f4(f4(a3,a7),x11251))),
% 135.28/135.61 inference(scs_inference,[],[35,2,4])).
% 135.28/135.61 cnf(1137,plain,
% 135.28/135.61 (E(f4(x11371,a15),f4(x11371,f4(a3,a7)))),
% 135.28/135.61 inference(scs_inference,[],[35,2,5])).
% 135.28/135.61 cnf(1349,plain,
% 135.28/135.61 (E(f12(a15,x13491),f12(f4(a3,a7),x13491))),
% 135.28/135.61 inference(scs_inference,[],[35,2,6])).
% 135.28/135.61 cnf(1350,plain,
% 135.28/135.61 (E(f12(f4(a3,a7),x13501),f12(a15,x13501))),
% 135.28/135.61 inference(scs_inference,[],[1349,2])).
% 135.28/135.61 cnf(1361,plain,
% 135.28/135.61 (E(f12(x13611,a15),f12(x13611,f4(a3,a7)))),
% 135.28/135.61 inference(scs_inference,[],[35,2,7])).
% 135.28/135.61 cnf(1363,plain,
% 135.28/135.61 (E(f12(f4(a3,a7),a15),f12(a15,f4(a3,a7)))),
% 135.28/135.61 inference(scs_inference,[],[1350,1361,2,3])).
% 135.28/135.61 cnf(1374,plain,
% 135.28/135.61 (E(f12(a15,a15),f12(f4(a3,a7),f4(a3,a7)))),
% 135.28/135.61 inference(scs_inference,[],[1349,1363,1361,2,3])).
% 135.28/135.61 cnf(1531,plain,
% 135.28/135.61 (E(f5(a15),f5(f4(a3,a7)))),
% 135.28/135.61 inference(scs_inference,[],[35,2,9])).
% 135.28/135.61 cnf(1532,plain,
% 135.28/135.61 (E(f5(f4(a3,a7)),f5(a15))),
% 135.28/135.61 inference(scs_inference,[],[1531,2])).
% 135.28/135.61 cnf(1551,plain,
% 135.28/135.61 (E(f12(x15511,f12(x15512,f4(a3,a7))),f12(x15511,f12(x15512,a15)))),
% 135.28/135.61 inference(scs_inference,[],[1361,2,7])).
% 135.28/135.61 cnf(1552,plain,
% 135.28/135.61 (P11(f12(x15521,f4(a3,a7)),f12(x15521,a15))),
% 135.28/135.61 inference(scs_inference,[],[1361,75,14])).
% 135.28/135.61 cnf(1600,plain,
% 135.28/135.61 (E(f12(f12(f4(a3,a7),f4(a3,a7)),x16001),f12(f12(a15,a15),x16001))),
% 135.28/135.61 inference(scs_inference,[],[1374,2,6])).
% 135.28/135.61 cnf(1608,plain,
% 135.28/135.61 (E(f4(f5(a15),x16081),f4(f5(f4(a3,a7)),x16081))),
% 135.28/135.61 inference(scs_inference,[],[1532,2,4])).
% 135.28/135.61 cnf(1609,plain,
% 135.28/135.61 (E(a8,f12(a3,a7))),
% 135.28/135.61 inference(scs_inference,[],[89,87,297,2,60])).
% 135.28/135.61 cnf(1610,plain,
% 135.28/135.61 (P2(f12(a3,a7),a9)),
% 135.28/135.61 inference(scs_inference,[],[1609,273])).
% 135.28/135.61 cnf(1613,plain,
% 135.28/135.61 (E(f12(a3,a7),a8)),
% 135.28/135.61 inference(scs_inference,[],[1609,273,55,2])).
% 135.28/135.61 cnf(1614,plain,
% 135.28/135.61 (~P12(f12(a3,a7),a9)),
% 135.28/135.61 inference(scs_inference,[],[1609,273,55,2,50])).
% 135.28/135.61 cnf(1795,plain,
% 135.28/135.61 (~E(f4(a3,a11),a1)),
% 135.28/135.61 inference(scs_inference,[],[34,93,42,66])).
% 135.28/135.61 cnf(2626,plain,
% 135.28/135.61 (E(f12(a1,x26261),f12(a2,x26261))),
% 135.28/135.61 inference(scs_inference,[],[32,8,9,6])).
% 135.28/135.61 cnf(2627,plain,
% 135.28/135.61 (E(f12(x26271,a1),f12(x26271,a2))),
% 135.28/135.61 inference(scs_inference,[],[32,8,9,6,7])).
% 135.28/135.61 cnf(2635,plain,
% 135.28/135.61 (E(f4(a1,x26351),f4(a2,x26351))),
% 135.28/135.61 inference(scs_inference,[],[32,1795,140,1532,122,8,9,6,7,43,49,48,2,4])).
% 135.28/135.61 cnf(2637,plain,
% 135.28/135.61 (~P8(a3,a11)),
% 135.28/135.61 inference(scs_inference,[],[32,1795,140,1532,122,104,89,8,9,6,7,43,49,48,2,4,5,72])).
% 135.28/135.61 cnf(2639,plain,
% 135.28/135.61 (~P2(f4(a3,a10),a1)),
% 135.28/135.61 inference(scs_inference,[],[32,1795,140,1532,95,34,122,104,89,8,9,6,7,43,49,48,2,4,5,72,62])).
% 135.28/135.61 cnf(2646,plain,
% 135.28/135.61 (P6(x26461,x26461)),
% 135.28/135.61 inference(rename_variables,[],[76])).
% 135.28/135.61 cnf(2648,plain,
% 135.28/135.61 (~E(a2,f4(a3,a11))),
% 135.28/135.61 inference(scs_inference,[],[32,142,1795,117,140,1532,95,34,122,76,93,104,77,89,8,9,6,7,43,49,48,2,4,5,72,62,66,52,26,15,3])).
% 135.28/135.61 cnf(2649,plain,
% 135.28/135.61 (~P2(f4(a3,a10),a2)),
% 135.28/135.61 inference(scs_inference,[],[32,142,1795,117,140,1532,95,34,122,76,93,104,77,89,8,9,6,7,43,49,48,2,4,5,72,62,66,52,26,15,3,13])).
% 135.28/135.61 cnf(2652,plain,
% 135.28/135.61 (E(f12(a3,a11),a9)),
% 135.28/135.61 inference(scs_inference,[],[32,201,142,1795,108,117,140,1532,95,34,122,76,87,93,104,77,89,8,9,6,7,43,49,48,2,4,5,72,62,66,52,26,15,3,13,51,59])).
% 135.28/135.61 cnf(2659,plain,
% 135.28/135.61 (E(a9,f12(a3,a11))),
% 135.28/135.61 inference(scs_inference,[],[32,201,142,1795,108,117,140,1532,95,34,122,76,87,93,104,77,33,89,8,9,6,7,43,49,48,2,4,5,72,62,66,52,26,15,3,13,51,59,67,42,567])).
% 135.28/135.61 cnf(2663,plain,
% 135.28/135.61 (~P12(f12(a3,a7),f12(a3,a11))),
% 135.28/135.61 inference(scs_inference,[],[32,1614,201,142,1795,108,117,140,1532,95,34,122,1613,76,2646,87,93,104,77,33,89,8,9,6,7,43,49,48,2,4,5,72,62,66,52,26,15,3,13,51,59,67,42,567,24,27,29])).
% 135.28/135.61 cnf(2677,plain,
% 135.28/135.61 (E(f6(f12(a3,a11)),f6(a9))),
% 135.28/135.61 inference(scs_inference,[],[2652,91,121,42,43,49,48,8])).
% 135.28/135.61 cnf(2678,plain,
% 135.28/135.61 (E(f12(f12(a3,a11),x26781),f12(a9,x26781))),
% 135.28/135.61 inference(scs_inference,[],[2652,91,121,42,43,49,48,8,6])).
% 135.28/135.61 cnf(2679,plain,
% 135.28/135.61 (E(f12(x26791,f12(a3,a11)),f12(x26791,a9))),
% 135.28/135.61 inference(scs_inference,[],[2652,91,121,42,43,49,48,8,6,7])).
% 135.28/135.61 cnf(2680,plain,
% 135.28/135.61 (E(f4(f12(a3,a11),x26801),f4(a9,x26801))),
% 135.28/135.61 inference(scs_inference,[],[2652,91,121,42,43,49,48,8,6,7,4])).
% 135.28/135.61 cnf(2682,plain,
% 135.28/135.61 (E(f4(x26821,f12(a3,a11)),f4(x26821,a9))),
% 135.28/135.61 inference(scs_inference,[],[2652,91,121,42,43,49,48,8,6,7,4,9,5])).
% 135.28/135.61 cnf(2687,plain,
% 135.28/135.61 (E(f12(a1,a1),f12(a2,a2))),
% 135.28/135.61 inference(scs_inference,[],[32,2663,2652,2626,2627,2648,91,121,138,1609,42,43,49,48,8,6,7,4,9,5,28,52,26,3])).
% 135.28/135.61 cnf(2688,plain,
% 135.28/135.61 (E(f12(a1,x26881),f12(a2,x26881))),
% 135.28/135.61 inference(rename_variables,[],[2626])).
% 135.28/135.61 cnf(2695,plain,
% 135.28/135.61 (P2(f12(a3,a7),f12(a3,a11))),
% 135.28/135.61 inference(scs_inference,[],[32,2663,2652,2626,2688,2627,2659,2648,136,1552,91,121,1610,138,1609,80,42,43,49,48,8,6,7,4,9,5,28,52,26,3,15,51,13])).
% 135.28/135.61 cnf(2711,plain,
% 135.28/135.61 (E(f12(a9,x27111),f12(f12(a3,a11),x27111))),
% 135.28/135.61 inference(scs_inference,[],[2695,2687,2659,42,49,43,8,48,6])).
% 135.28/135.61 cnf(2721,plain,
% 135.28/135.61 (P2(a8,f12(a3,a11))),
% 135.28/135.61 inference(scs_inference,[],[2695,2687,2678,2679,2659,1613,76,42,49,43,8,48,6,9,7,4,5,26,3,12])).
% 135.28/135.61 cnf(2726,plain,
% 135.28/135.61 (P12(f12(a3,a11),a8)),
% 135.28/135.61 inference(scs_inference,[],[2695,2687,2678,2679,2659,1613,76,42,49,43,8,48,6,9,7,4,5,26,3,12,47,526,29])).
% 135.28/135.61 cnf(2742,plain,
% 135.28/135.61 (E(f4(f12(a3,a7),x27421),f4(a8,x27421))),
% 135.28/135.61 inference(scs_inference,[],[2721,2726,2680,1610,1613,47,42,48,43,49,8,6,9,4])).
% 135.28/135.61 cnf(2744,plain,
% 135.28/135.61 (E(f4(x27441,f12(a3,a7)),f4(x27441,a8))),
% 135.28/135.61 inference(scs_inference,[],[2721,2726,2680,1610,1613,47,42,48,43,49,8,6,9,4,7,5])).
% 135.28/135.61 cnf(2762,plain,
% 135.28/135.61 (E(f4(a8,x27621),f4(f12(a3,a7),x27621))),
% 135.28/135.61 inference(scs_inference,[],[2677,81,1609,38,42,49,48,43,8,6,4])).
% 135.28/135.61 cnf(2764,plain,
% 135.28/135.61 (E(f12(x27641,a8),f12(x27641,f12(a3,a7)))),
% 135.28/135.61 inference(scs_inference,[],[2677,81,1609,38,42,49,48,43,8,6,4,9,7])).
% 135.28/135.61 cnf(2791,plain,
% 135.28/135.61 (~P2(f4(a3,a10),f4(a3,a11))),
% 135.28/135.62 inference(scs_inference,[],[2742,2639,1610,81,77,42,49,43,8,6,4,7,9,5,57])).
% 135.28/135.62 cnf(3091,plain,
% 135.28/135.62 (P11(f4(x30911,f12(a3,a11)),f4(x30911,a9))),
% 135.28/135.62 inference(scs_inference,[],[2682,42])).
% 135.28/135.62 cnf(3093,plain,
% 135.28/135.62 (P6(f4(x30931,f12(a3,a11)),f4(x30931,a9))),
% 135.28/135.62 inference(scs_inference,[],[2682,42,43])).
% 135.28/135.62 cnf(3179,plain,
% 135.28/135.62 (P11(f4(a8,x31791),f4(f12(a3,a7),x31791))),
% 135.28/135.62 inference(scs_inference,[],[2762,42])).
% 135.28/135.62 cnf(3274,plain,
% 135.28/135.62 (P11(f12(x32741,f12(a3,a11)),f12(x32741,a9))),
% 135.28/135.62 inference(scs_inference,[],[2679,42])).
% 135.28/135.62 cnf(3276,plain,
% 135.28/135.62 (P6(f12(x32761,f12(a3,a11)),f12(x32761,a9))),
% 135.28/135.62 inference(scs_inference,[],[2679,42,43])).
% 135.28/135.62 cnf(3314,plain,
% 135.28/135.62 (P11(f12(x33141,a8),f12(x33141,f12(a3,a7)))),
% 135.28/135.62 inference(scs_inference,[],[2764,42])).
% 135.28/135.62 cnf(3525,plain,
% 135.28/135.62 (E(f12(a9,a15),f12(f12(a3,a11),f4(a3,a7)))),
% 135.28/135.62 inference(scs_inference,[],[2711,1361,3])).
% 135.28/135.62 cnf(3779,plain,
% 135.28/135.62 (~P8(a3,a10)+E(f12(a3,a10),a8)),
% 135.28/135.62 inference(scs_inference,[],[95,87,60])).
% 135.28/135.62 cnf(4868,plain,
% 135.28/135.62 (E(f4(x48681,f12(f12(f4(a3,a7),f4(a3,a7)),x48682)),f4(x48681,f12(f12(a15,a15),x48682)))),
% 135.28/135.62 inference(scs_inference,[],[1600,5])).
% 135.28/135.62 cnf(4869,plain,
% 135.28/135.62 (E(f6(f12(f12(f4(a3,a7),f4(a3,a7)),x48691)),f6(f12(f12(a15,a15),x48691)))),
% 135.28/135.62 inference(scs_inference,[],[1600,5,8])).
% 135.28/135.62 cnf(4870,plain,
% 135.28/135.62 (E(f4(f12(f12(f4(a3,a7),f4(a3,a7)),x48701),x48702),f4(f12(f12(a15,a15),x48701),x48702))),
% 135.28/135.62 inference(scs_inference,[],[1600,5,8,4])).
% 135.28/135.62 cnf(4871,plain,
% 135.28/135.62 (E(f12(f12(f12(f4(a3,a7),f4(a3,a7)),x48711),x48712),f12(f12(f12(a15,a15),x48711),x48712))),
% 135.28/135.62 inference(scs_inference,[],[1600,5,8,4,6])).
% 135.28/135.62 cnf(4873,plain,
% 135.28/135.62 (E(f5(f12(f12(f4(a3,a7),f4(a3,a7)),x48731)),f5(f12(f12(a15,a15),x48731)))),
% 135.28/135.62 inference(scs_inference,[],[1600,5,8,4,6,7,9])).
% 135.28/135.62 cnf(4879,plain,
% 135.28/135.62 (E(f12(f12(f4(a3,a7),f4(a3,a7)),x48791),f12(f12(a15,a15),x48791))),
% 135.28/135.62 inference(rename_variables,[],[1600])).
% 135.28/135.62 cnf(4881,plain,
% 135.28/135.62 (P6(f12(f12(a15,a15),f12(a3,a11)),f12(f12(f4(a3,a7),f4(a3,a7)),a9))),
% 135.28/135.62 inference(scs_inference,[],[3276,1600,4879,1551,5,8,4,6,7,9,42,43,3,26])).
% 135.28/135.62 cnf(4882,plain,
% 135.28/135.62 (E(f12(f12(f4(a3,a7),f4(a3,a7)),x48821),f12(f12(a15,a15),x48821))),
% 135.28/135.62 inference(rename_variables,[],[1600])).
% 135.28/135.62 cnf(4885,plain,
% 135.28/135.62 (E(f12(f12(f4(a3,a7),f4(a3,a7)),x48851),f12(f12(a15,a15),x48851))),
% 135.28/135.62 inference(rename_variables,[],[1600])).
% 135.28/135.62 cnf(4886,plain,
% 135.28/135.62 (P11(f12(x48861,a8),f12(x48861,f12(a3,a7)))),
% 135.28/135.62 inference(rename_variables,[],[3314])).
% 135.28/135.62 cnf(4887,plain,
% 135.28/135.62 (P11(f12(f12(a15,a15),a8),f12(f12(f4(a3,a7),f4(a3,a7)),f12(a3,a7)))),
% 135.28/135.62 inference(scs_inference,[],[3276,3314,4886,1600,4879,4882,4885,1551,5,8,4,6,7,9,42,43,3,26,15,14])).
% 135.28/135.62 cnf(4900,plain,
% 135.28/135.62 (E(f12(f4(a3,a7),x49001),f12(a15,x49001))),
% 135.28/135.62 inference(rename_variables,[],[1350])).
% 135.28/135.62 cnf(4906,plain,
% 135.28/135.62 (E(f4(a15,x49061),f4(f4(a3,a7),x49061))),
% 135.28/135.62 inference(rename_variables,[],[1125])).
% 135.28/135.62 cnf(4919,plain,
% 135.28/135.62 (E(f12(a3,a10),a8)),
% 135.28/135.62 inference(scs_inference,[],[33,35,89,1137,1350,4900,1125,4906,2635,3525,2791,2637,2649,3093,3276,3091,3274,50,2,26,3,27,14,70,15,74,68,3779])).
% 135.28/135.62 cnf(5186,plain,
% 135.28/135.62 (E(a8,f12(a3,a10))),
% 135.28/135.62 inference(scs_inference,[],[4919,2])).
% 135.28/135.62 cnf(5200,plain,
% 135.28/135.62 (P2(f12(a3,a10),f12(a3,a11))),
% 135.28/135.62 inference(scs_inference,[],[1137,2659,1125,2764,2679,2744,3179,4919,4881,4887,2,273,55,26,15,3,14,13])).
% 135.28/135.62 cnf(5297,plain,
% 135.28/135.62 (E(f5(f12(f12(f4(a3,a7),f4(a3,a7)),f4(a3,a7))),f5(f12(f12(a15,a15),a15)))),
% 135.28/135.62 inference(scs_inference,[],[4869,344,4873,2,3])).
% 135.28/135.62 cnf(5342,plain,
% 135.28/135.62 (E(f4(f12(f12(f4(a3,a7),f4(a3,a7)),x53421),a15),f4(f12(f12(a15,a15),x53421),f4(a3,a7)))),
% 135.28/135.62 inference(scs_inference,[],[1137,4868,4870,2,3])).
% 135.28/135.62 cnf(5357,plain,
% 135.28/135.62 (E(f12(f12(f12(a15,a15),x53571),x53572),f12(f12(f12(f4(a3,a7),f4(a3,a7)),x53571),x53572))),
% 135.28/135.62 inference(scs_inference,[],[4871,2])).
% 135.28/135.62 cnf(5496,plain,
% 135.28/135.62 (E(f4(f5(a15),a15),f4(f5(f4(a3,a7)),f4(a3,a7)))),
% 135.28/135.62 inference(scs_inference,[],[1137,5342,1608,2,3])).
% 135.28/135.62 cnf(5504,plain,
% 135.28/135.62 (E(f4(f5(f4(a3,a7)),x55041),f4(f5(a15),x55041))),
% 135.28/135.62 inference(scs_inference,[],[1608,2])).
% 135.28/135.62 cnf(5514,plain,
% 135.28/135.62 (E(f4(f5(f4(a3,a7)),a15),f4(f5(a15),f4(a3,a7)))),
% 135.28/135.62 inference(scs_inference,[],[1137,5504,5496,2,3])).
% 135.28/135.62 cnf(5530,plain,
% 135.28/135.62 (E(f12(f12(f12(a15,a15),x55301),a15),f12(f12(f12(f4(a3,a7),f4(a3,a7)),x55301),f4(a3,a7)))),
% 135.28/135.62 inference(scs_inference,[],[1361,5514,5357,2,3])).
% 135.28/135.62 cnf(5548,plain,
% 135.28/135.62 (E(f12(a3,a7),f12(a3,a10))),
% 135.28/135.62 inference(scs_inference,[],[1613,5530,5186,2,3])).
% 135.28/135.62 cnf(5552,plain,
% 135.28/135.62 (E(f12(a3,a10),f12(a3,a7))),
% 135.28/135.62 inference(scs_inference,[],[5548,2])).
% 135.28/135.62 cnf(5558,plain,
% 135.28/135.62 (~P12(f12(a3,a11),f12(a3,a10))),
% 135.28/135.62 inference(scs_inference,[],[5552,71])).
% 135.28/135.62 cnf(5565,plain,
% 135.28/135.62 ($false),
% 135.28/135.62 inference(scs_inference,[],[5200,5297,5558,2,48]),
% 135.28/135.62 ['proof']).
% 135.28/135.62 % SZS output end Proof
% 135.28/135.62 % Total time :134.660000s
%------------------------------------------------------------------------------