TSTP Solution File: MGT005+2 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : MGT005+2 : TPTP v8.1.2. Bugfixed v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 09:06:41 EDT 2023
% Result : Theorem 63.65s 63.80s
% Output : CNFRefutation 63.65s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : MGT005+2 : TPTP v8.1.2. Bugfixed v3.2.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n022.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 28 06:15:54 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.56 start to proof:theBenchmark
% 63.61/63.78 %-------------------------------------------
% 63.61/63.78 % File :CSE---1.6
% 63.61/63.78 % Problem :theBenchmark
% 63.61/63.78 % Transform :cnf
% 63.61/63.78 % Format :tptp:raw
% 63.61/63.78 % Command :java -jar mcs_scs.jar %d %s
% 63.61/63.78
% 63.61/63.78 % Result :Theorem 63.020000s
% 63.61/63.78 % Output :CNFRefutation 63.020000s
% 63.61/63.78 %-------------------------------------------
% 63.61/63.79 %--------------------------------------------------------------------------
% 63.61/63.79 % File : MGT005+2 : TPTP v8.1.2. Bugfixed v3.2.0.
% 63.61/63.79 % Domain : Management (Organisation Theory)
% 63.61/63.79 % Problem : Complexity increases the risk of death due to reorganization.
% 63.61/63.79 % Version : Especial.
% 63.61/63.79 % Theorem formulation : Updated.
% 63.61/63.79 % English :
% 63.61/63.79
% 63.61/63.79 % Refs : [PB+92] Peli et al. (1992), A Logical Approach to Formalizing
% 63.61/63.79 % : [PB+94] Peli et al. (1994), A Logical Approach to Formalizing
% 63.61/63.79 % : [Kam94] Kamps (1994), Email to G. Sutcliffe
% 63.61/63.79 % Source : [Kam94]
% 63.61/63.79 % Names : THEOREM 5+ [Kam94]
% 63.61/63.79
% 63.61/63.79 % Status : Theorem
% 63.61/63.79 % Rating : 0.31 v8.1.0, 0.25 v7.5.0, 0.31 v7.4.0, 0.23 v7.3.0, 0.24 v7.2.0, 0.21 v7.1.0, 0.17 v6.4.0, 0.19 v6.3.0, 0.21 v6.2.0, 0.32 v6.1.0, 0.37 v6.0.0, 0.43 v5.5.0, 0.41 v5.4.0, 0.43 v5.3.0, 0.52 v5.2.0, 0.30 v5.1.0, 0.24 v5.0.0, 0.33 v4.1.0, 0.35 v4.0.1, 0.30 v4.0.0, 0.29 v3.7.0, 0.14 v3.5.0, 0.22 v3.4.0, 0.17 v3.3.0, 0.22 v3.2.0
% 63.61/63.79 % Syntax : Number of formulae : 13 ( 0 unt; 0 def)
% 63.61/63.79 % Number of atoms : 104 ( 7 equ)
% 63.61/63.79 % Maximal formula atoms : 23 ( 8 avg)
% 63.61/63.79 % Number of connectives : 95 ( 4 ~; 4 |; 74 &)
% 63.61/63.79 % ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% 63.61/63.79 % Maximal formula depth : 34 ( 14 avg)
% 63.61/63.79 % Maximal term depth : 1 ( 1 avg)
% 63.61/63.79 % Number of predicates : 9 ( 8 usr; 0 prp; 2-3 aty)
% 63.61/63.79 % Number of functors : 0 ( 0 usr; 0 con; --- aty)
% 63.61/63.79 % Number of variables : 79 ( 75 !; 4 ?)
% 63.61/63.79 % SPC : FOF_THM_RFO_SEQ
% 63.61/63.79
% 63.61/63.79 % Comments :
% 63.61/63.80 % Bugfixes : v3.2.0 - mp14 fixed.
% 63.61/63.80 %--------------------------------------------------------------------------
% 63.61/63.80 %----Subsitution axioms
% 63.61/63.80 %----Problem axioms
% 63.61/63.80 fof(mp6_1,axiom,
% 63.61/63.80 ! [X,Y] :
% 63.61/63.80 ~ ( greater(X,Y)
% 63.61/63.80 & X = Y ) ).
% 63.61/63.80
% 63.61/63.80 fof(mp6_2,axiom,
% 63.61/63.80 ! [X,Y] :
% 63.61/63.80 ~ ( greater(X,Y)
% 63.61/63.80 & greater(Y,X) ) ).
% 63.61/63.80
% 63.61/63.80 fof(mp11,axiom,
% 63.61/63.80 ! [X,Y,Z] :
% 63.61/63.80 ( ( greater(X,Y)
% 63.61/63.80 & greater(Y,Z) )
% 63.61/63.80 => greater(X,Z) ) ).
% 63.61/63.80
% 63.65/63.80 fof(mp14,axiom,
% 63.65/63.80 ! [X,Y,P1,P2,T] :
% 63.65/63.80 ( ( survival_chance(X,P1,T)
% 63.65/63.80 & survival_chance(Y,P2,T) )
% 63.65/63.80 => ( greater(P1,P2)
% 63.65/63.80 | P1 = P2
% 63.65/63.80 | greater(P2,P1) ) ) ).
% 63.65/63.80
% 63.65/63.80 fof(mp12,axiom,
% 63.65/63.80 ! [X,T] :
% 63.65/63.80 ( organization(X,T)
% 63.65/63.80 => ? [P] : survival_chance(X,P,T) ) ).
% 63.65/63.80
% 63.65/63.80 fof(mp13,axiom,
% 63.65/63.80 ! [X,T,T1,T2] :
% 63.65/63.80 ( ( organization(X,T1)
% 63.65/63.80 & organization(X,T2)
% 63.65/63.80 & greater(T,T1)
% 63.65/63.80 & greater(T2,T) )
% 63.65/63.80 => organization(X,T) ) ).
% 63.65/63.80
% 63.65/63.80 fof(mp7,axiom,
% 63.65/63.80 ! [X,Ta,Tb] :
% 63.65/63.80 ( reorganization(X,Ta,Tb)
% 63.65/63.80 => greater(Tb,Ta) ) ).
% 63.65/63.80
% 63.65/63.80 fof(t3_FOL,hypothesis,
% 63.65/63.80 ! [X,P1,P2,T1,T2] :
% 63.65/63.80 ( ( organization(X,T1)
% 63.65/63.80 & organization(X,T2)
% 63.65/63.80 & reorganization_free(X,T1,T2)
% 63.65/63.80 & survival_chance(X,P1,T1)
% 63.65/63.80 & survival_chance(X,P2,T2)
% 63.65/63.80 & greater(T2,T1) )
% 63.65/63.80 => greater(P2,P1) ) ).
% 63.65/63.80
% 63.65/63.80 %----t4_FOL - alias a9_FOL
% 63.65/63.80 fof(t4_FOL,hypothesis,
% 63.65/63.80 ! [X,P1,P2,T1,T2,Ta,Tb] :
% 63.65/63.80 ( ( organization(X,T1)
% 63.65/63.80 & organization(X,T2)
% 63.65/63.80 & reorganization(X,Ta,Tb)
% 63.65/63.80 & survival_chance(X,P1,T1)
% 63.65/63.80 & survival_chance(X,P2,T2)
% 63.65/63.80 & ~ greater(Ta,T1)
% 63.65/63.80 & greater(T2,T1)
% 63.65/63.80 & ~ greater(T2,Tb) )
% 63.65/63.80 => greater(P1,P2) ) ).
% 63.65/63.80
% 63.65/63.80 %----Complexity increases the expected duration of reorganization.
% 63.65/63.80 fof(a10_FOL,hypothesis,
% 63.65/63.80 ! [X,Y,Re,C,C1,C2,Ta,Tb,Tc] :
% 63.65/63.80 ( ( organization(X,Ta)
% 63.65/63.80 & organization(Y,Ta)
% 63.65/63.80 & organization(Y,Tc)
% 63.65/63.80 & class(X,C,Ta)
% 63.65/63.80 & class(Y,C,Ta)
% 63.65/63.80 & reorganization(X,Ta,Tb)
% 63.65/63.80 & reorganization(Y,Ta,Tc)
% 63.65/63.80 & reorganization_type(X,Re,Ta)
% 63.65/63.80 & reorganization_type(Y,Re,Ta)
% 63.65/63.80 & complexity(X,C1,Ta)
% 63.65/63.80 & complexity(Y,C2,Ta)
% 63.65/63.80 & greater(C2,C1) )
% 63.65/63.80 => greater(Tc,Tb) ) ).
% 63.65/63.80
% 63.65/63.80 %----Complexity is no survival advantage during reorganization.
% 63.65/63.80 fof(a11_FOL,hypothesis,
% 63.65/63.80 ! [X,Y,Re,C,P,P1,P2,C1,C2,Ta,Tb,Tc] :
% 63.65/63.80 ( ( organization(X,Ta)
% 63.65/63.80 & organization(Y,Ta)
% 63.65/63.80 & organization(X,Tb)
% 63.65/63.80 & organization(Y,Tb)
% 63.65/63.80 & class(X,C,Ta)
% 63.65/63.80 & class(Y,C,Ta)
% 63.65/63.80 & survival_chance(X,P,Ta)
% 63.65/63.80 & survival_chance(Y,P,Ta)
% 63.65/63.80 & reorganization(X,Ta,Tb)
% 63.65/63.80 & reorganization(Y,Ta,Tc)
% 63.65/63.80 & reorganization_type(X,Re,Ta)
% 63.65/63.80 & reorganization_type(Y,Re,Ta)
% 63.65/63.80 & survival_chance(X,P1,Tb)
% 63.65/63.80 & survival_chance(Y,P2,Tb)
% 63.65/63.80 & complexity(X,C1,Ta)
% 63.65/63.80 & complexity(Y,C2,Ta)
% 63.65/63.80 & greater(C2,C1) )
% 63.65/63.80 => ( greater(P1,P2)
% 63.65/63.80 | P1 = P2 ) ) ).
% 63.65/63.80
% 63.65/63.80 %----MATHS. Consequence of the Weierstrass theorem:
% 63.65/63.80 %----If f1 and f2 are continuous functions, and f1 > f2 at t2,
% 63.65/63.80 %----f2 > f1 at t1, where t1<t2, then f2 = f1 somewhere between t1 and t2.
% 63.65/63.80 %----INSTANTIATION: survival_chance(x,t) = f1 ;
% 63.65/63.80 %----survival_chance(y,t) = f2
% 63.65/63.80 fof(a15_FOL,hypothesis,
% 63.65/63.80 ! [X,Y,Px1,Px2,Py1,Py2,T1,T2] :
% 63.65/63.80 ( ( greater(T2,T1)
% 63.65/63.80 & survival_chance(X,Px1,T1)
% 63.65/63.80 & survival_chance(Y,Py1,T1)
% 63.65/63.80 & survival_chance(X,Px2,T2)
% 63.65/63.80 & survival_chance(Y,Py2,T2)
% 63.65/63.80 & greater(Px2,Px1)
% 63.65/63.80 & greater(Py1,Px2) )
% 63.65/63.80 => ? [T0,Px0,Py0] :
% 63.65/63.80 ( greater(T0,T1)
% 63.65/63.80 & greater(T2,T0)
% 63.65/63.80 & survival_chance(X,Px0,T0)
% 63.65/63.80 & survival_chance(Y,Py0,T0)
% 63.65/63.80 & Px0 = Py0 ) ) ).
% 63.65/63.80
% 63.65/63.80 fof(t5_plus_FOL,conjecture,
% 63.65/63.80 ! [X,Y,Re,C,P,P1,P2,C1,C2,T,Ta,Tb,Tc] :
% 63.65/63.80 ( ( organization(X,Ta)
% 63.65/63.80 & organization(Y,Ta)
% 63.65/63.80 & organization(X,Tc)
% 63.65/63.80 & organization(Y,Tc)
% 63.65/63.80 & class(X,C,Ta)
% 63.65/63.80 & class(Y,C,Ta)
% 63.65/63.80 & survival_chance(X,P,Ta)
% 63.65/63.80 & survival_chance(Y,P,Ta)
% 63.65/63.80 & reorganization(X,Ta,Tb)
% 63.65/63.80 & reorganization(Y,Ta,Tc)
% 63.65/63.80 & reorganization_type(X,Re,Ta)
% 63.65/63.80 & reorganization_type(Y,Re,Ta)
% 63.65/63.80 & reorganization_free(X,Tb,Tc)
% 63.65/63.80 & survival_chance(X,P1,T)
% 63.65/63.80 & survival_chance(Y,P2,T)
% 63.65/63.80 & complexity(X,C1,Ta)
% 63.65/63.80 & complexity(Y,C2,Ta)
% 63.65/63.80 & greater(C2,C1)
% 63.65/63.80 & ( T = Tc
% 63.65/63.80 => greater(P1,P2) ) )
% 63.65/63.80 => ( T = Tb
% 63.65/63.80 => ( greater(P1,P2)
% 63.65/63.80 | P1 = P2 ) ) ) ).
% 63.65/63.80
% 63.65/63.80 %--------------------------------------------------------------------------
% 63.65/63.80 %-------------------------------------------
% 63.65/63.80 % Proof found
% 63.65/63.80 % SZS status Theorem for theBenchmark
% 63.65/63.80 % SZS output start Proof
% 63.65/63.80 %ClaNum:89(EqnAxiom:51)
% 63.65/63.80 %VarNum:327(SingletonVarNum:94)
% 63.65/63.80 %MaxLitNum:19
% 63.65/63.80 %MaxfuncDepth:1
% 63.65/63.80 %SharedTerms:36
% 63.65/63.80 %goalClause: 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73
% 63.65/63.80 %singleGoalClaCount:21
% 63.65/63.80 [52]E(a1,a2)
% 63.65/63.80 [53]P1(a3,a4)
% 63.65/63.80 [54]P4(a8,a7)
% 63.65/63.80 [55]P4(a8,a9)
% 63.65/63.80 [56]P4(a14,a7)
% 63.65/63.80 [57]P4(a14,a9)
% 63.65/63.80 [58]P5(a8,a15,a7)
% 63.65/63.80 [59]P5(a8,a5,a2)
% 63.65/63.80 [60]P5(a14,a15,a7)
% 63.65/63.80 [61]P5(a14,a6,a2)
% 63.65/63.80 [62]P6(a8,a7,a1)
% 63.65/63.80 [63]P6(a14,a7,a9)
% 63.65/63.80 [64]P7(a8,a1,a9)
% 63.65/63.80 [65]P2(a8,a16,a7)
% 63.65/63.80 [66]P2(a14,a16,a7)
% 63.65/63.80 [67]P8(a8,a17,a7)
% 63.65/63.80 [68]P8(a14,a17,a7)
% 63.65/63.80 [69]P3(a8,a4,a7)
% 63.65/63.80 [70]P3(a14,a3,a7)
% 63.65/63.80 [71]~E(a6,a5)
% 63.65/63.80 [72]~P1(a5,a6)
% 63.65/63.80 [73]P1(a5,a6)+~E(a9,a2)
% 63.65/63.80 [74]~P1(x741,x742)+~E(x741,x742)
% 63.65/63.80 [75]~P1(x752,x751)+~P1(x751,x752)
% 63.65/63.80 [78]~P4(x781,x782)+P5(x781,f10(x781,x782),x782)
% 63.65/63.80 [77]P1(x771,x772)+~P6(x773,x772,x771)
% 63.65/63.80 [76]~P1(x761,x763)+P1(x761,x762)+~P1(x763,x762)
% 63.65/63.80 [79]~P4(x791,x794)+~P4(x791,x793)+P4(x791,x792)+~P1(x792,x793)+~P1(x794,x792)
% 63.65/63.80 [80]P1(x802,x801)+P1(x801,x802)+E(x801,x802)+~P5(x803,x802,x804)+~P5(x805,x801,x804)
% 63.65/63.80 [81]~P4(x815,x814)+~P5(x815,x811,x813)+~P5(x815,x812,x814)+~P7(x815,x814,x813)+P1(x811,x812)+~P1(x813,x814)+~P4(x815,x813)
% 63.65/63.80 [85]~P1(x858,x857)+~P1(x855,x854)+~P1(x854,x853)+~P5(x852,x856,x858)+~P5(x852,x855,x857)+~P5(x851,x854,x858)+~P5(x851,x853,x857)+E(f11(x851,x852,x853,x854,x855,x856,x857,x858),f13(x851,x852,x853,x854,x855,x856,x857,x858))
% 63.65/63.80 [86]~P1(x866,x865)+~P1(x865,x864)+~P1(x861,x868)+~P5(x863,x867,x861)+~P5(x863,x866,x868)+~P5(x862,x865,x861)+~P5(x862,x864,x868)+P1(x861,f12(x862,x863,x864,x865,x866,x867,x868,x861))
% 63.65/63.80 [87]~P1(x878,x877)+~P1(x875,x874)+~P1(x874,x873)+~P5(x872,x876,x878)+~P5(x872,x875,x877)+~P5(x871,x874,x878)+~P5(x871,x873,x877)+P1(f12(x871,x872,x873,x874,x875,x876,x877,x878),x877)
% 63.65/63.80 [88]~P1(x888,x887)+~P1(x885,x884)+~P1(x884,x883)+~P5(x882,x886,x888)+~P5(x882,x885,x887)+~P5(x881,x884,x888)+~P5(x881,x883,x887)+P5(x881,f11(x881,x882,x883,x884,x885,x886,x887,x888),f12(x881,x882,x883,x884,x885,x886,x887,x888))
% 63.65/63.80 [89]~P1(x898,x897)+~P1(x895,x894)+~P1(x894,x893)+~P5(x892,x894,x898)+~P5(x892,x893,x897)+~P5(x891,x896,x898)+~P5(x891,x895,x897)+P5(x891,f13(x892,x891,x893,x894,x895,x896,x897,x898),f12(x892,x891,x893,x894,x895,x896,x897,x898))
% 63.65/63.80 [82]~P1(x825,x824)+~P4(x827,x824)+~P5(x827,x822,x825)+~P5(x827,x821,x824)+~P6(x827,x823,x826)+P1(x821,x822)+P1(x823,x824)+P1(x825,x826)+~P4(x827,x825)
% 63.65/63.80 [83]~P6(x835,x836,x831)+~P6(x837,x836,x832)+~P2(x837,x838,x836)+~P8(x837,x839,x836)+~P3(x835,x833,x836)+~P3(x837,x834,x836)+P1(x831,x832)+~P1(x833,x834)+~P4(x835,x831)+~P2(x835,x838,x836)+~P8(x835,x839,x836)+~P4(x835,x836)+~P4(x837,x836)
% 63.65/63.80 [84]~P5(x848,x841,x846)+~P3(x848,x844,x847)+~P3(x845,x843,x847)+~P8(x848,x8412,x847)+~P2(x848,x8411,x847)+~P6(x848,x847,x846)+~P5(x848,x849,x847)+~P5(x845,x842,x846)+~P4(x848,x847)+P1(x841,x842)+E(x841,x842)+~P1(x843,x844)+~P5(x845,x849,x847)+~P4(x845,x846)+~P6(x845,x847,x8410)+~P4(x845,x847)+~P2(x845,x8411,x847)+~P4(x848,x846)+~P8(x845,x8412,x847)
% 63.65/63.80 %EqnAxiom
% 63.65/63.80 [1]E(x11,x11)
% 63.65/63.80 [2]E(x22,x21)+~E(x21,x22)
% 63.65/63.80 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 63.65/63.80 [4]~E(x41,x42)+E(f10(x41,x43),f10(x42,x43))
% 63.65/63.80 [5]~E(x51,x52)+E(f10(x53,x51),f10(x53,x52))
% 63.65/63.80 [6]~E(x61,x62)+E(f11(x61,x63,x64,x65,x66,x67,x68,x69),f11(x62,x63,x64,x65,x66,x67,x68,x69))
% 63.65/63.80 [7]~E(x71,x72)+E(f11(x73,x71,x74,x75,x76,x77,x78,x79),f11(x73,x72,x74,x75,x76,x77,x78,x79))
% 63.65/63.80 [8]~E(x81,x82)+E(f11(x83,x84,x81,x85,x86,x87,x88,x89),f11(x83,x84,x82,x85,x86,x87,x88,x89))
% 63.65/63.80 [9]~E(x91,x92)+E(f11(x93,x94,x95,x91,x96,x97,x98,x99),f11(x93,x94,x95,x92,x96,x97,x98,x99))
% 63.65/63.80 [10]~E(x101,x102)+E(f11(x103,x104,x105,x106,x101,x107,x108,x109),f11(x103,x104,x105,x106,x102,x107,x108,x109))
% 63.65/63.80 [11]~E(x111,x112)+E(f11(x113,x114,x115,x116,x117,x111,x118,x119),f11(x113,x114,x115,x116,x117,x112,x118,x119))
% 63.65/63.80 [12]~E(x121,x122)+E(f11(x123,x124,x125,x126,x127,x128,x121,x129),f11(x123,x124,x125,x126,x127,x128,x122,x129))
% 63.65/63.80 [13]~E(x131,x132)+E(f11(x133,x134,x135,x136,x137,x138,x139,x131),f11(x133,x134,x135,x136,x137,x138,x139,x132))
% 63.65/63.80 [14]~E(x141,x142)+E(f13(x141,x143,x144,x145,x146,x147,x148,x149),f13(x142,x143,x144,x145,x146,x147,x148,x149))
% 63.65/63.80 [15]~E(x151,x152)+E(f13(x153,x151,x154,x155,x156,x157,x158,x159),f13(x153,x152,x154,x155,x156,x157,x158,x159))
% 63.65/63.80 [16]~E(x161,x162)+E(f13(x163,x164,x161,x165,x166,x167,x168,x169),f13(x163,x164,x162,x165,x166,x167,x168,x169))
% 63.65/63.80 [17]~E(x171,x172)+E(f13(x173,x174,x175,x171,x176,x177,x178,x179),f13(x173,x174,x175,x172,x176,x177,x178,x179))
% 63.65/63.80 [18]~E(x181,x182)+E(f13(x183,x184,x185,x186,x181,x187,x188,x189),f13(x183,x184,x185,x186,x182,x187,x188,x189))
% 63.65/63.80 [19]~E(x191,x192)+E(f13(x193,x194,x195,x196,x197,x191,x198,x199),f13(x193,x194,x195,x196,x197,x192,x198,x199))
% 63.65/63.80 [20]~E(x201,x202)+E(f13(x203,x204,x205,x206,x207,x208,x201,x209),f13(x203,x204,x205,x206,x207,x208,x202,x209))
% 63.65/63.81 [21]~E(x211,x212)+E(f13(x213,x214,x215,x216,x217,x218,x219,x211),f13(x213,x214,x215,x216,x217,x218,x219,x212))
% 63.65/63.81 [22]~E(x221,x222)+E(f12(x221,x223,x224,x225,x226,x227,x228,x229),f12(x222,x223,x224,x225,x226,x227,x228,x229))
% 63.65/63.81 [23]~E(x231,x232)+E(f12(x233,x231,x234,x235,x236,x237,x238,x239),f12(x233,x232,x234,x235,x236,x237,x238,x239))
% 63.65/63.81 [24]~E(x241,x242)+E(f12(x243,x244,x241,x245,x246,x247,x248,x249),f12(x243,x244,x242,x245,x246,x247,x248,x249))
% 63.65/63.81 [25]~E(x251,x252)+E(f12(x253,x254,x255,x251,x256,x257,x258,x259),f12(x253,x254,x255,x252,x256,x257,x258,x259))
% 63.65/63.81 [26]~E(x261,x262)+E(f12(x263,x264,x265,x266,x261,x267,x268,x269),f12(x263,x264,x265,x266,x262,x267,x268,x269))
% 63.65/63.81 [27]~E(x271,x272)+E(f12(x273,x274,x275,x276,x277,x271,x278,x279),f12(x273,x274,x275,x276,x277,x272,x278,x279))
% 63.65/63.81 [28]~E(x281,x282)+E(f12(x283,x284,x285,x286,x287,x288,x281,x289),f12(x283,x284,x285,x286,x287,x288,x282,x289))
% 63.65/63.81 [29]~E(x291,x292)+E(f12(x293,x294,x295,x296,x297,x298,x299,x291),f12(x293,x294,x295,x296,x297,x298,x299,x292))
% 63.65/63.81 [30]P1(x302,x303)+~E(x301,x302)+~P1(x301,x303)
% 63.65/63.81 [31]P1(x313,x312)+~E(x311,x312)+~P1(x313,x311)
% 63.65/63.81 [32]P4(x322,x323)+~E(x321,x322)+~P4(x321,x323)
% 63.65/63.81 [33]P4(x333,x332)+~E(x331,x332)+~P4(x333,x331)
% 63.65/63.81 [34]P3(x342,x343,x344)+~E(x341,x342)+~P3(x341,x343,x344)
% 63.65/63.81 [35]P3(x353,x352,x354)+~E(x351,x352)+~P3(x353,x351,x354)
% 63.65/63.81 [36]P3(x363,x364,x362)+~E(x361,x362)+~P3(x363,x364,x361)
% 63.65/63.81 [37]P8(x372,x373,x374)+~E(x371,x372)+~P8(x371,x373,x374)
% 63.65/63.81 [38]P8(x383,x382,x384)+~E(x381,x382)+~P8(x383,x381,x384)
% 63.65/63.81 [39]P8(x393,x394,x392)+~E(x391,x392)+~P8(x393,x394,x391)
% 63.65/63.81 [40]P6(x402,x403,x404)+~E(x401,x402)+~P6(x401,x403,x404)
% 63.65/63.81 [41]P6(x413,x412,x414)+~E(x411,x412)+~P6(x413,x411,x414)
% 63.65/63.81 [42]P6(x423,x424,x422)+~E(x421,x422)+~P6(x423,x424,x421)
% 63.65/63.81 [43]P5(x432,x433,x434)+~E(x431,x432)+~P5(x431,x433,x434)
% 63.65/63.81 [44]P5(x443,x442,x444)+~E(x441,x442)+~P5(x443,x441,x444)
% 63.65/63.81 [45]P5(x453,x454,x452)+~E(x451,x452)+~P5(x453,x454,x451)
% 63.65/63.81 [46]P7(x462,x463,x464)+~E(x461,x462)+~P7(x461,x463,x464)
% 63.65/63.81 [47]P7(x473,x472,x474)+~E(x471,x472)+~P7(x473,x471,x474)
% 63.65/63.81 [48]P7(x483,x484,x482)+~E(x481,x482)+~P7(x483,x484,x481)
% 63.65/63.81 [49]P2(x492,x493,x494)+~E(x491,x492)+~P2(x491,x493,x494)
% 63.65/63.81 [50]P2(x503,x502,x504)+~E(x501,x502)+~P2(x503,x501,x504)
% 63.65/63.81 [51]P2(x513,x514,x512)+~E(x511,x512)+~P2(x513,x514,x511)
% 63.65/63.81
% 63.65/63.81 %-------------------------------------------
% 63.65/63.81 cnf(90,plain,
% 63.65/63.81 (E(a2,a1)),
% 63.65/63.81 inference(scs_inference,[],[52,2])).
% 63.65/63.81 cnf(93,plain,
% 63.65/63.81 (~P1(a4,a3)),
% 63.65/63.81 inference(scs_inference,[],[52,53,72,2,77,75])).
% 63.65/63.81 cnf(95,plain,
% 63.65/63.81 (~P1(a1,a2)),
% 63.65/63.81 inference(scs_inference,[],[52,53,72,2,77,75,74])).
% 63.65/63.81 cnf(97,plain,
% 63.65/63.81 (~E(a9,a2)),
% 63.65/63.81 inference(scs_inference,[],[52,53,72,2,77,75,74,73])).
% 63.65/63.81 cnf(98,plain,
% 63.65/63.81 (P7(a8,a2,a9)),
% 63.65/63.81 inference(scs_inference,[],[52,53,64,72,2,77,75,74,73,47])).
% 63.65/63.81 cnf(99,plain,
% 63.65/63.81 (P5(a8,a5,a1)),
% 63.65/63.81 inference(scs_inference,[],[52,53,59,64,72,2,77,75,74,73,47,45])).
% 63.65/63.81 cnf(100,plain,
% 63.65/63.81 (P6(a8,a7,a2)),
% 63.65/63.81 inference(scs_inference,[],[52,53,59,62,64,72,2,77,75,74,73,47,45,42])).
% 63.65/63.81 cnf(102,plain,
% 63.65/63.81 (E(f12(x1021,x1022,x1023,x1024,x1025,x1026,x1027,a1),f12(x1021,x1022,x1023,x1024,x1025,x1026,x1027,a2))),
% 63.65/63.81 inference(scs_inference,[],[52,53,59,62,64,72,2,77,75,74,73,47,45,42,3,29])).
% 63.65/63.81 cnf(103,plain,
% 63.65/63.81 (E(f12(x1031,x1032,x1033,x1034,x1035,x1036,a1,x1037),f12(x1031,x1032,x1033,x1034,x1035,x1036,a2,x1037))),
% 63.65/63.81 inference(scs_inference,[],[52,53,59,62,64,72,2,77,75,74,73,47,45,42,3,29,28])).
% 63.65/63.81 cnf(104,plain,
% 63.65/63.81 (E(f12(x1041,x1042,x1043,x1044,x1045,a1,x1046,x1047),f12(x1041,x1042,x1043,x1044,x1045,a2,x1046,x1047))),
% 63.65/63.81 inference(scs_inference,[],[52,53,59,62,64,72,2,77,75,74,73,47,45,42,3,29,28,27])).
% 63.65/63.81 cnf(105,plain,
% 63.65/63.81 (E(f12(x1051,x1052,x1053,x1054,a1,x1055,x1056,x1057),f12(x1051,x1052,x1053,x1054,a2,x1055,x1056,x1057))),
% 63.65/63.81 inference(scs_inference,[],[52,53,59,62,64,72,2,77,75,74,73,47,45,42,3,29,28,27,26])).
% 63.65/63.81 cnf(107,plain,
% 63.65/63.81 (E(f12(x1071,x1072,a1,x1073,x1074,x1075,x1076,x1077),f12(x1071,x1072,a2,x1073,x1074,x1075,x1076,x1077))),
% 63.65/63.81 inference(scs_inference,[],[52,53,59,62,64,72,2,77,75,74,73,47,45,42,3,29,28,27,26,25,24])).
% 63.65/63.81 cnf(108,plain,
% 63.65/63.81 (E(f12(x1081,a1,x1082,x1083,x1084,x1085,x1086,x1087),f12(x1081,a2,x1082,x1083,x1084,x1085,x1086,x1087))),
% 63.65/63.81 inference(scs_inference,[],[52,53,59,62,64,72,2,77,75,74,73,47,45,42,3,29,28,27,26,25,24,23])).
% 63.65/63.81 cnf(109,plain,
% 63.65/63.81 (E(f12(a1,x1091,x1092,x1093,x1094,x1095,x1096,x1097),f12(a2,x1091,x1092,x1093,x1094,x1095,x1096,x1097))),
% 63.65/63.81 inference(scs_inference,[],[52,53,59,62,64,72,2,77,75,74,73,47,45,42,3,29,28,27,26,25,24,23,22])).
% 63.65/63.81 cnf(111,plain,
% 63.65/63.81 (E(f13(x1111,x1112,x1113,x1114,x1115,x1116,a1,x1117),f13(x1111,x1112,x1113,x1114,x1115,x1116,a2,x1117))),
% 63.65/63.81 inference(scs_inference,[],[52,53,59,62,64,72,2,77,75,74,73,47,45,42,3,29,28,27,26,25,24,23,22,21,20])).
% 63.65/63.81 cnf(116,plain,
% 63.65/63.81 (E(f13(x1161,a1,x1162,x1163,x1164,x1165,x1166,x1167),f13(x1161,a2,x1162,x1163,x1164,x1165,x1166,x1167))),
% 63.65/63.81 inference(scs_inference,[],[52,53,59,62,64,72,2,77,75,74,73,47,45,42,3,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15])).
% 63.65/63.81 cnf(117,plain,
% 63.65/63.81 (E(f13(a1,x1171,x1172,x1173,x1174,x1175,x1176,x1177),f13(a2,x1171,x1172,x1173,x1174,x1175,x1176,x1177))),
% 63.65/63.81 inference(scs_inference,[],[52,53,59,62,64,72,2,77,75,74,73,47,45,42,3,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14])).
% 63.65/63.81 cnf(118,plain,
% 63.65/63.81 (E(f11(x1181,x1182,x1183,x1184,x1185,x1186,x1187,a1),f11(x1181,x1182,x1183,x1184,x1185,x1186,x1187,a2))),
% 63.65/63.81 inference(scs_inference,[],[52,53,59,62,64,72,2,77,75,74,73,47,45,42,3,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13])).
% 63.65/63.81 cnf(119,plain,
% 63.65/63.81 (E(f11(x1191,x1192,x1193,x1194,x1195,x1196,a1,x1197),f11(x1191,x1192,x1193,x1194,x1195,x1196,a2,x1197))),
% 63.65/63.81 inference(scs_inference,[],[52,53,59,62,64,72,2,77,75,74,73,47,45,42,3,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12])).
% 63.65/63.81 cnf(121,plain,
% 63.65/63.81 (E(f11(x1211,x1212,x1213,x1214,a1,x1215,x1216,x1217),f11(x1211,x1212,x1213,x1214,a2,x1215,x1216,x1217))),
% 63.65/63.81 inference(scs_inference,[],[52,53,59,62,64,72,2,77,75,74,73,47,45,42,3,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10])).
% 63.65/63.81 cnf(122,plain,
% 63.65/63.81 (E(f11(x1221,x1222,x1223,a1,x1224,x1225,x1226,x1227),f11(x1221,x1222,x1223,a2,x1224,x1225,x1226,x1227))),
% 63.65/63.81 inference(scs_inference,[],[52,53,59,62,64,72,2,77,75,74,73,47,45,42,3,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9])).
% 63.65/63.81 cnf(123,plain,
% 63.65/63.81 (E(f11(x1231,x1232,a1,x1233,x1234,x1235,x1236,x1237),f11(x1231,x1232,a2,x1233,x1234,x1235,x1236,x1237))),
% 63.65/63.81 inference(scs_inference,[],[52,53,59,62,64,72,2,77,75,74,73,47,45,42,3,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8])).
% 63.65/63.81 cnf(126,plain,
% 63.65/63.81 (E(f10(x1261,a1),f10(x1261,a2))),
% 63.65/63.81 inference(scs_inference,[],[52,53,59,62,64,72,2,77,75,74,73,47,45,42,3,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5])).
% 63.65/63.81 cnf(131,plain,
% 63.65/63.81 (~P1(a1,a1)),
% 63.65/63.81 inference(scs_inference,[],[52,53,54,59,62,64,72,2,77,75,74,73,47,45,42,3,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,78,41,31])).
% 63.65/63.81 cnf(132,plain,
% 63.65/63.81 (~P1(a2,a2)),
% 63.65/63.81 inference(scs_inference,[],[52,53,54,59,62,64,72,2,77,75,74,73,47,45,42,3,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,78,41,31,30])).
% 63.65/63.81 cnf(153,plain,
% 63.65/63.81 (~E(a5,a6)),
% 63.65/63.81 inference(scs_inference,[],[53,71,74,2])).
% 63.65/63.81 cnf(154,plain,
% 63.65/63.81 (P1(a9,a7)),
% 63.65/63.81 inference(scs_inference,[],[63,53,71,74,2,77])).
% 63.65/63.81 cnf(160,plain,
% 63.65/63.81 (P5(a14,a6,a1)),
% 63.65/63.81 inference(scs_inference,[],[63,53,61,71,90,74,2,77,76,75,45])).
% 63.65/63.81 cnf(161,plain,
% 63.65/63.82 (E(f12(x1611,x1612,x1613,x1614,x1615,x1616,a1,a1),f12(x1611,x1612,x1613,x1614,x1615,x1616,a2,a2))),
% 63.65/63.82 inference(scs_inference,[],[63,53,61,71,102,103,90,74,2,77,76,75,45,3])).
% 63.65/63.82 cnf(174,plain,
% 63.65/63.82 (~P1(a2,a1)),
% 63.65/63.82 inference(scs_inference,[],[90,74])).
% 63.65/63.82 cnf(176,plain,
% 63.65/63.82 (P1(a1,a7)),
% 63.65/63.82 inference(scs_inference,[],[62,90,74,77])).
% 63.65/63.82 cnf(178,plain,
% 63.65/63.82 (E(f12(x1781,x1782,x1783,x1784,x1785,x1786,a2,a2),f12(x1781,x1782,x1783,x1784,x1785,x1786,a1,a1))),
% 63.65/63.82 inference(scs_inference,[],[62,90,161,74,77,2])).
% 63.65/63.82 cnf(181,plain,
% 63.65/63.82 (~P1(a7,a1)),
% 63.65/63.82 inference(scs_inference,[],[56,62,90,161,74,77,2,79,75])).
% 63.65/63.82 cnf(196,plain,
% 63.65/63.82 (P1(a9,a1)),
% 63.65/63.82 inference(scs_inference,[],[53,70,57,67,68,69,66,65,56,63,62,54,83])).
% 63.65/63.82 cnf(198,plain,
% 63.65/63.82 (~P1(a1,a9)),
% 63.65/63.82 inference(scs_inference,[],[53,70,57,67,68,69,66,65,56,63,62,54,131,83,76])).
% 63.65/63.82 cnf(200,plain,
% 63.65/63.82 (~E(a1,a7)),
% 63.65/63.82 inference(scs_inference,[],[53,70,57,67,68,69,66,65,56,63,62,54,131,176,83,76,74])).
% 63.65/63.82 cnf(202,plain,
% 63.65/63.82 (E(f12(x2021,x2022,x2023,x2024,x2025,a1,a2,a2),f12(x2021,x2022,x2023,x2024,x2025,a2,a1,a1))),
% 63.65/63.82 inference(scs_inference,[],[53,70,57,67,68,69,66,65,56,63,62,54,131,178,176,104,83,76,74,3])).
% 63.65/63.82 cnf(205,plain,
% 63.65/63.82 (~P6(x2051,a2,a2)),
% 63.65/63.82 inference(scs_inference,[],[53,70,57,67,68,69,66,65,56,63,62,54,132,131,178,176,104,83,76,74,3,77])).
% 63.65/63.82 cnf(211,plain,
% 63.65/63.82 (P4(a8,a1)),
% 63.65/63.82 inference(scs_inference,[],[54,55,196,176,79])).
% 63.65/63.82 cnf(213,plain,
% 63.65/63.82 (~P1(a2,a9)),
% 63.65/63.82 inference(scs_inference,[],[54,55,196,174,176,79,76])).
% 63.65/63.82 cnf(215,plain,
% 63.65/63.82 (~P1(f12(x2151,x2152,x2153,x2154,x2155,a1,a2,a2),f12(x2151,x2152,x2153,x2154,x2155,a2,a1,a1))),
% 63.65/63.82 inference(scs_inference,[],[54,55,202,196,174,176,79,76,74])).
% 63.65/63.82 cnf(217,plain,
% 63.65/63.82 (~P6(x2171,a9,a1)),
% 63.65/63.82 inference(scs_inference,[],[54,55,198,202,196,174,176,79,76,74,77])).
% 63.65/63.82 cnf(219,plain,
% 63.65/63.82 (E(f12(x2191,x2192,x2193,x2194,a1,a1,a2,a2),f12(x2191,x2192,x2193,x2194,a2,a2,a1,a1))),
% 63.65/63.82 inference(scs_inference,[],[54,55,198,202,196,174,105,176,79,76,74,77,3])).
% 63.65/63.82 cnf(220,plain,
% 63.65/63.82 (E(f12(x2201,x2202,x2203,x2204,x2205,a1,a2,a2),f12(x2201,x2202,x2203,x2204,x2205,a2,a1,a1))),
% 63.65/63.82 inference(rename_variables,[],[202])).
% 63.65/63.82 cnf(222,plain,
% 63.65/63.82 (E(f12(x2221,x2222,x2223,x2224,x2225,a2,a1,a1),f12(x2221,x2222,x2223,x2224,x2225,a1,a2,a2))),
% 63.65/63.82 inference(scs_inference,[],[54,55,198,202,220,196,174,105,176,79,76,74,77,3,2])).
% 63.65/63.82 cnf(226,plain,
% 63.65/63.82 (P4(a8,a2)),
% 63.65/63.82 inference(scs_inference,[],[54,57,64,55,198,202,220,196,174,105,176,52,79,76,74,77,3,2,78,48,33])).
% 63.65/63.82 cnf(228,plain,
% 63.65/63.82 (~P1(f12(x2281,x2282,x2283,x2284,a1,a1,a2,a2),f12(x2281,x2282,x2283,x2284,a1,a1,a2,a2))),
% 63.65/63.82 inference(scs_inference,[],[54,57,64,55,198,202,220,196,205,174,105,176,52,79,76,74,77,3,2,78,48,33,41,31])).
% 63.65/63.82 cnf(237,plain,
% 63.65/63.82 (E(f12(x2371,x2372,x2373,x2374,x2375,x2376,x2377,a2),f12(x2371,x2372,x2373,x2374,x2375,x2376,x2377,a1))),
% 63.65/63.82 inference(scs_inference,[],[90,29])).
% 63.65/63.82 cnf(238,plain,
% 63.65/63.82 (E(f12(x2381,x2382,x2383,x2384,x2385,a2,x2386,x2387),f12(x2381,x2382,x2383,x2384,x2385,a1,x2386,x2387))),
% 63.65/63.82 inference(scs_inference,[],[90,29,27])).
% 63.65/63.82 cnf(239,plain,
% 63.65/63.82 (E(f12(x2391,x2392,x2393,a2,x2394,x2395,x2396,x2397),f12(x2391,x2392,x2393,a1,x2394,x2395,x2396,x2397))),
% 63.65/63.82 inference(scs_inference,[],[90,29,27,25])).
% 63.65/63.82 cnf(241,plain,
% 63.65/63.82 (E(f12(x2411,a2,x2412,x2413,x2414,x2415,x2416,x2417),f12(x2411,a1,x2412,x2413,x2414,x2415,x2416,x2417))),
% 63.65/63.82 inference(scs_inference,[],[90,29,27,25,24,23])).
% 63.65/63.82 cnf(242,plain,
% 63.65/63.82 (E(f12(a2,x2421,x2422,x2423,x2424,x2425,x2426,x2427),f12(a1,x2421,x2422,x2423,x2424,x2425,x2426,x2427))),
% 63.65/63.82 inference(scs_inference,[],[90,29,27,25,24,23,22])).
% 63.65/63.82 cnf(243,plain,
% 63.65/63.82 (E(f13(x2431,x2432,x2433,x2434,x2435,x2436,x2437,a2),f13(x2431,x2432,x2433,x2434,x2435,x2436,x2437,a1))),
% 63.65/63.82 inference(scs_inference,[],[90,29,27,25,24,23,22,21])).
% 63.65/63.82 cnf(244,plain,
% 63.65/63.82 (E(f13(x2441,x2442,x2443,x2444,x2445,x2446,a2,x2447),f13(x2441,x2442,x2443,x2444,x2445,x2446,a1,x2447))),
% 63.65/63.82 inference(scs_inference,[],[90,29,27,25,24,23,22,21,20])).
% 63.65/63.82 cnf(245,plain,
% 63.65/63.82 (E(f13(x2451,x2452,x2453,x2454,a2,x2455,x2456,x2457),f13(x2451,x2452,x2453,x2454,a1,x2455,x2456,x2457))),
% 63.65/63.82 inference(scs_inference,[],[90,29,27,25,24,23,22,21,20,18])).
% 63.65/63.82 cnf(247,plain,
% 63.65/63.82 (E(f13(x2471,x2472,a2,x2473,x2474,x2475,x2476,x2477),f13(x2471,x2472,a1,x2473,x2474,x2475,x2476,x2477))),
% 63.65/63.82 inference(scs_inference,[],[90,29,27,25,24,23,22,21,20,18,17,16])).
% 63.65/63.82 cnf(262,plain,
% 63.65/63.82 (P1(a2,a7)),
% 63.65/63.82 inference(scs_inference,[],[90,62,228,215,222,219,217,100,154,29,27,25,24,23,22,21,20,18,17,16,14,11,8,6,4,41,30,74,31,77])).
% 63.65/63.82 cnf(268,plain,
% 63.65/63.82 (E(f12(x2681,x2682,x2683,x2684,x2685,x2686,a2,x2687),f12(x2681,x2682,x2683,x2684,x2685,x2686,a1,x2687))),
% 63.65/63.82 inference(scs_inference,[],[64,90,62,55,72,228,215,222,219,211,217,200,97,100,154,196,52,29,27,25,24,23,22,21,20,18,17,16,14,11,8,6,4,41,30,74,31,77,3,2,81,28])).
% 63.65/63.82 cnf(269,plain,
% 63.65/63.82 (E(f12(x2691,x2692,x2693,x2694,a2,x2695,x2696,x2697),f12(x2691,x2692,x2693,x2694,a1,x2695,x2696,x2697))),
% 63.65/63.82 inference(scs_inference,[],[64,90,62,55,72,228,215,222,219,211,217,200,97,100,154,196,52,29,27,25,24,23,22,21,20,18,17,16,14,11,8,6,4,41,30,74,31,77,3,2,81,28,26])).
% 63.65/63.82 cnf(277,plain,
% 63.65/63.82 (E(f10(x2771,a2),f10(x2771,a1))),
% 63.65/63.82 inference(scs_inference,[],[64,90,62,55,72,228,215,222,219,211,217,200,97,100,154,196,52,29,27,25,24,23,22,21,20,18,17,16,14,11,8,6,4,41,30,74,31,77,3,2,81,28,26,19,15,13,12,10,9,7,5])).
% 63.65/63.82 cnf(278,plain,
% 63.65/63.82 (P4(a14,a1)),
% 63.65/63.82 inference(scs_inference,[],[57,64,90,62,56,55,72,228,215,222,219,211,217,200,97,100,154,196,176,52,29,27,25,24,23,22,21,20,18,17,16,14,11,8,6,4,41,30,74,31,77,3,2,81,28,26,19,15,13,12,10,9,7,5,79])).
% 63.65/63.82 cnf(284,plain,
% 63.65/63.82 (~P1(f12(x2841,x2842,x2843,x2844,x2845,x2846,x2847,a2),f12(x2841,x2842,x2843,x2844,x2845,x2846,x2847,a1))),
% 63.65/63.82 inference(scs_inference,[],[237,74])).
% 63.65/63.82 cnf(287,plain,
% 63.65/63.82 (E(f12(x2871,x2872,x2873,x2874,x2875,a2,x2876,a2),f12(x2871,x2872,x2873,x2874,x2875,a1,x2876,a1))),
% 63.65/63.82 inference(scs_inference,[],[237,238,196,52,74,31,3])).
% 63.65/63.82 cnf(308,plain,
% 63.65/63.82 (~P1(f12(x3081,x3082,x3083,a2,x3084,x3085,x3086,a2),f12(x3081,x3082,x3083,a1,x3084,x3085,x3086,a1))),
% 63.65/63.82 inference(scs_inference,[],[239,284,30])).
% 63.65/63.82 cnf(309,plain,
% 63.65/63.82 (E(f12(x3091,x3092,x3093,a2,x3094,x3095,x3096,x3097),f12(x3091,x3092,x3093,a1,x3094,x3095,x3096,x3097))),
% 63.65/63.82 inference(rename_variables,[],[239])).
% 63.65/63.82 cnf(310,plain,
% 63.65/63.82 (~P1(f12(x3101,x3102,x3103,x3104,x3105,x3106,x3107,a2),f12(x3101,x3102,x3103,x3104,x3105,x3106,x3107,a1))),
% 63.65/63.82 inference(rename_variables,[],[284])).
% 63.65/63.82 cnf(311,plain,
% 63.65/63.82 (~P1(f12(x3111,x3112,x3113,a1,x3114,x3115,x3116,a2),f12(x3111,x3112,x3113,a2,x3114,x3115,x3116,a1))),
% 63.65/63.82 inference(scs_inference,[],[239,309,284,310,30,31])).
% 63.65/63.82 cnf(330,plain,
% 63.65/63.82 (P4(a14,a2)),
% 63.65/63.82 inference(scs_inference,[],[278,52,33])).
% 63.65/63.82 cnf(332,plain,
% 63.65/63.82 (~P1(f12(x3321,x3322,x3323,a2,x3324,x3325,x3326,a2),f12(x3321,x3322,x3323,a1,x3324,x3325,x3326,a1))),
% 63.65/63.82 inference(rename_variables,[],[308])).
% 63.65/63.82 cnf(333,plain,
% 63.65/63.82 (E(f12(x3331,a2,x3332,x3333,x3334,x3335,x3336,x3337),f12(x3331,a1,x3332,x3333,x3334,x3335,x3336,x3337))),
% 63.65/63.82 inference(rename_variables,[],[241])).
% 63.65/63.82 cnf(337,plain,
% 63.65/63.82 (E(f12(x3371,x3372,x3373,x3374,x3375,a1,x3376,a1),f12(x3371,x3372,x3373,x3374,x3375,a2,x3376,a2))),
% 63.65/63.82 inference(scs_inference,[],[241,333,287,308,332,278,52,33,30,31,2])).
% 63.65/63.82 cnf(342,plain,
% 63.65/63.82 (~P5(a14,a5,a7)),
% 63.65/63.82 inference(scs_inference,[],[56,95,67,69,65,62,63,61,72,213,241,333,287,308,332,278,211,100,262,54,52,33,30,31,2,82,83,75,74])).
% 63.65/63.82 cnf(350,plain,
% 63.65/63.82 (E(f12(a2,x3501,x3502,x3503,x3504,a1,x3505,a1),f12(a1,x3501,x3502,x3503,x3504,a2,x3505,a2))),
% 63.65/63.82 inference(scs_inference,[],[93,60,342,337,242,44,74,77,3])).
% 63.65/63.82 cnf(354,plain,
% 63.65/63.82 (P5(a14,f10(a14,a7),a7)),
% 63.65/63.82 inference(scs_inference,[],[56,93,60,342,337,242,44,74,77,3,2,78])).
% 63.65/63.82 cnf(357,plain,
% 63.65/63.82 (~P6(a14,a7,a7)),
% 63.65/63.82 inference(scs_inference,[],[56,93,70,68,60,66,67,69,63,65,62,342,337,181,242,53,54,44,74,77,3,2,78,40,83])).
% 63.65/63.82 cnf(371,plain,
% 63.65/63.82 (E(f12(a2,x3711,x3712,x3713,x3714,a1,a2,a1),f12(a1,x3711,x3712,x3713,x3714,a2,a1,a2))),
% 63.65/63.82 inference(scs_inference,[],[350,268,3])).
% 63.65/63.82 cnf(372,plain,
% 63.65/63.82 (E(f12(a2,x3721,x3722,x3723,x3724,a1,x3725,a1),f12(a1,x3721,x3722,x3723,x3724,a2,x3725,a2))),
% 63.65/63.82 inference(rename_variables,[],[350])).
% 63.65/63.82 cnf(376,plain,
% 63.65/63.82 (~E(f10(a14,a7),a5)),
% 63.65/63.82 inference(scs_inference,[],[357,350,372,354,268,342,3,2,40,44])).
% 63.65/63.82 cnf(394,plain,
% 63.65/63.82 (~P6(a14,a7,a2)),
% 63.65/63.82 inference(scs_inference,[],[70,67,69,66,65,68,62,330,376,98,174,53,54,56,2,48,83])).
% 63.65/63.82 cnf(409,plain,
% 63.65/63.82 (~P1(f12(a2,x4091,x4092,a1,x4093,a1,a2,a1),f12(a1,x4091,x4092,a2,x4093,a2,a1,a1))),
% 63.65/63.82 inference(scs_inference,[],[371,311,30])).
% 63.65/63.82 cnf(410,plain,
% 63.65/63.82 (E(f12(a2,x4101,x4102,x4103,x4104,a1,a2,a1),f12(a1,x4101,x4102,x4103,x4104,a2,a1,a2))),
% 63.65/63.82 inference(rename_variables,[],[371])).
% 63.65/63.82 cnf(412,plain,
% 63.65/63.82 (E(f12(a1,x4121,x4122,x4123,x4124,a2,a1,a2),f12(a2,x4121,x4122,x4123,x4124,a1,a2,a1))),
% 63.65/63.82 inference(scs_inference,[],[371,410,311,30,2])).
% 63.65/63.82 cnf(422,plain,
% 63.65/63.82 (~P6(x4221,f12(a1,x4222,x4223,a2,x4224,a2,a1,a1),f12(a2,x4222,x4223,a1,x4224,a1,a2,a1))),
% 63.65/63.82 inference(scs_inference,[],[409,77])).
% 63.65/63.82 cnf(424,plain,
% 63.65/63.82 (P5(a14,f10(a14,a2),a2)),
% 63.65/63.82 inference(scs_inference,[],[409,330,77,78])).
% 63.65/63.82 cnf(427,plain,
% 63.65/63.82 (~P6(x4271,f12(a1,x4272,x4273,a2,x4274,a2,a1,a1),f12(a1,x4272,x4273,a1,x4274,a2,a1,a2))),
% 63.65/63.82 inference(scs_inference,[],[58,412,409,330,77,78,43,42])).
% 63.65/63.82 cnf(428,plain,
% 63.65/63.82 (E(f12(a1,x4281,x4282,x4283,x4284,a2,a1,a2),f12(a2,x4281,x4282,x4283,x4284,a1,a2,a1))),
% 63.65/63.82 inference(rename_variables,[],[412])).
% 63.65/63.82 cnf(431,plain,
% 63.65/63.82 (~P1(f12(a1,x4311,x4312,x4313,x4314,a2,a1,a2),f12(a2,x4311,x4312,x4313,x4314,a1,a2,a1))),
% 63.65/63.82 inference(scs_inference,[],[58,412,428,409,277,330,77,78,43,42,44,74])).
% 63.65/63.82 cnf(443,plain,
% 63.65/63.82 (E(f12(x4431,x4432,x4433,x4434,a2,x4435,x4436,x4437),f12(x4431,x4432,x4433,x4434,a1,x4435,x4436,x4437))),
% 63.65/63.82 inference(rename_variables,[],[269])).
% 63.65/63.82 cnf(447,plain,
% 63.65/63.82 (E(f13(x4471,x4472,x4473,x4474,x4475,x4476,a2,a2),f13(x4471,x4472,x4473,x4474,x4475,x4476,a1,a1))),
% 63.65/63.82 inference(scs_inference,[],[422,431,394,243,244,269,443,100,40,41,31,3])).
% 63.65/63.82 cnf(473,plain,
% 63.65/63.82 (~P1(f13(x4731,x4732,x4733,x4734,x4735,x4736,a2,a2),f13(x4731,x4732,x4733,x4734,x4735,x4736,a1,a1))),
% 63.65/63.82 inference(scs_inference,[],[447,74])).
% 63.65/63.82 cnf(481,plain,
% 63.65/63.82 (~P6(x4811,f12(a1,x4812,a1,a2,x4813,a2,a1,a1),f12(a1,x4812,a2,a1,x4813,a2,a1,a2))),
% 63.65/63.82 inference(scs_inference,[],[99,67,60,62,65,66,68,72,63,90,447,427,424,107,153,277,160,211,278,154,58,56,54,74,2,84,45,44,41])).
% 63.65/63.82 cnf(484,plain,
% 63.65/63.82 (E(f13(x4841,x4842,x4843,x4844,a2,x4845,a2,a2),f13(x4841,x4842,x4843,x4844,a1,x4845,a1,a1))),
% 63.65/63.82 inference(scs_inference,[],[99,67,60,62,65,66,68,72,63,90,447,427,424,245,107,153,277,160,211,278,154,58,56,54,74,2,84,45,44,41,3])).
% 63.65/63.82 cnf(489,plain,
% 63.65/63.82 (~P6(x4891,f12(a1,a2,a1,a2,x4892,a2,a1,a1),f12(a1,a1,a2,a1,x4892,a2,a1,a2))),
% 63.65/63.82 inference(scs_inference,[],[481,108,42])).
% 63.65/63.82 cnf(514,plain,
% 63.65/63.82 (P5(a8,f10(a8,a2),a2)),
% 63.65/63.82 inference(scs_inference,[],[226,78])).
% 63.65/63.82 cnf(516,plain,
% 63.65/63.82 (~P1(f13(x5161,x5162,x5163,x5164,a1,x5165,a2,a2),f13(x5161,x5162,x5163,x5164,a2,x5165,a2,a2))),
% 63.65/63.82 inference(scs_inference,[],[473,484,226,78,31])).
% 63.65/63.82 cnf(532,plain,
% 63.65/63.82 (P5(a8,f10(a8,a1),a2)),
% 63.65/63.82 inference(scs_inference,[],[514,277,44])).
% 63.65/63.82 cnf(535,plain,
% 63.65/63.82 (~P6(x5351,f13(x5352,x5353,x5354,x5355,a2,x5356,a2,a2),f13(x5352,x5353,x5354,x5355,a1,x5356,a2,a2))),
% 63.65/63.82 inference(scs_inference,[],[65,516,514,277,44,49,77])).
% 63.65/63.82 cnf(550,plain,
% 63.65/63.82 (E(f12(x5501,x5502,x5503,x5504,x5505,x5506,x5507,a1),f12(x5501,x5502,x5503,x5504,x5505,x5506,x5507,a2))),
% 63.65/63.82 inference(rename_variables,[],[102])).
% 63.65/63.82 cnf(557,plain,
% 63.65/63.82 (~P1(f12(x5571,x5572,x5573,x5574,x5575,x5576,x5577,a1),f12(x5571,x5572,x5573,x5574,x5575,x5576,x5577,a2))),
% 63.65/63.82 inference(scs_inference,[],[102,550,69,90,535,532,489,247,126,45,42,44,35,41,74])).
% 63.65/63.82 cnf(577,plain,
% 63.65/63.82 (~P1(f12(x5771,x5772,x5773,x5774,x5775,x5776,x5777,a1),f12(x5771,x5772,x5773,x5774,x5775,x5776,x5777,a1))),
% 63.65/63.82 inference(scs_inference,[],[102,557,31])).
% 63.65/63.82 cnf(617,plain,
% 63.65/63.82 (~P1(f12(x6171,x6172,x6173,x6174,x6175,a1,x6176,a1),f12(x6171,x6172,x6173,x6174,x6175,a2,x6176,a1))),
% 63.65/63.82 inference(scs_inference,[],[104,577,37,30])).
% 63.65/63.82 cnf(630,plain,
% 63.65/63.82 (~P6(x6301,f12(x6302,x6303,x6304,x6305,x6306,a2,x6307,a1),f12(x6302,x6303,x6304,x6305,x6306,a1,x6307,a1))),
% 63.65/63.82 inference(scs_inference,[],[617,77])).
% 63.65/63.82 cnf(1266,plain,
% 63.65/63.82 (~P1(f11(x12661,x12662,x12663,x12664,a1,x12665,x12666,x12667),f11(x12661,x12662,x12663,x12664,a2,x12665,x12666,x12667))),
% 63.65/63.82 inference(scs_inference,[],[121,74])).
% 63.65/63.82 cnf(1289,plain,
% 63.65/63.82 (~P1(f11(x12891,x12892,x12893,x12894,a1,x12895,x12896,x12897),f11(x12891,x12892,x12893,x12894,a2,x12895,x12896,x12897))),
% 63.65/63.82 inference(rename_variables,[],[1266])).
% 63.65/63.82 cnf(1290,plain,
% 63.65/63.82 (~P1(f11(x12901,x12902,x12903,x12904,a1,x12905,x12906,x12907),f11(x12901,x12902,x12903,x12904,a1,x12905,x12906,x12907))),
% 63.65/63.82 inference(scs_inference,[],[121,119,1266,1289,30,31])).
% 63.65/63.82 cnf(1297,plain,
% 63.65/63.82 (~P6(x12971,f11(x12972,x12973,x12974,x12975,a1,x12976,x12977,x12978),f11(x12972,x12973,x12974,x12975,a1,x12976,x12977,x12978))),
% 63.65/63.82 inference(scs_inference,[],[1290,77])).
% 63.65/63.82 cnf(1564,plain,
% 63.65/63.82 (~P1(f12(a1,x15641,x15642,x15643,x15644,x15645,x15646,x15647),f12(a2,x15641,x15642,x15643,x15644,x15645,x15646,x15647))),
% 63.65/63.82 inference(scs_inference,[],[109,74])).
% 63.65/63.82 cnf(1630,plain,
% 63.65/63.82 (~P1(f13(x16301,x16302,x16303,x16304,x16305,x16306,a1,x16307),f13(x16301,x16302,x16303,x16304,x16305,x16306,a2,x16307))),
% 63.65/63.82 inference(scs_inference,[],[111,74])).
% 63.65/63.82 cnf(1690,plain,
% 63.65/63.82 (~P1(f11(x16901,x16902,x16903,a1,x16904,x16905,x16906,x16907),f11(x16901,x16902,x16903,a2,x16904,x16905,x16906,x16907))),
% 63.65/63.82 inference(scs_inference,[],[122,74])).
% 63.65/63.82 cnf(1716,plain,
% 63.65/63.82 (~P1(f11(x17161,x17162,x17163,a1,a1,x17164,x17165,x17166),f11(x17161,x17162,x17163,a2,a2,x17164,x17165,x17166))),
% 63.65/63.82 inference(scs_inference,[],[121,1690,30])).
% 63.65/63.82 cnf(1794,plain,
% 63.65/63.82 (~P1(f11(x17941,x17942,a1,a1,a1,x17943,x17944,x17945),f11(x17941,x17942,a2,a2,a2,x17943,x17944,x17945))),
% 63.65/63.82 inference(scs_inference,[],[123,1716,30])).
% 63.65/63.82 cnf(1825,plain,
% 63.65/63.82 (E(f13(a1,a1,x18251,x18252,x18253,x18254,x18255,x18256),f13(a2,a2,x18251,x18252,x18253,x18254,x18255,x18256))),
% 63.65/63.82 inference(scs_inference,[],[116,117,3])).
% 63.65/63.82 cnf(1940,plain,
% 63.65/63.82 (E(f11(x19401,x19402,x19403,x19404,x19405,x19406,x19407,a1),f11(x19401,x19402,x19403,x19404,x19405,x19406,x19407,a2))),
% 63.65/63.82 inference(rename_variables,[],[118])).
% 63.65/63.82 cnf(1943,plain,
% 63.65/63.82 (E(f11(x19431,x19432,x19433,x19434,x19435,x19436,x19437,a1),f11(x19431,x19432,x19433,x19434,x19435,x19436,x19437,a2))),
% 63.65/63.82 inference(rename_variables,[],[118])).
% 63.65/63.82 cnf(1944,plain,
% 63.65/63.82 (~P1(f11(x19441,x19442,a1,a1,a1,x19443,x19444,x19445),f11(x19441,x19442,a2,a2,a2,x19443,x19444,x19445))),
% 63.65/63.82 inference(rename_variables,[],[1794])).
% 63.65/63.82 cnf(1946,plain,
% 63.65/63.82 (E(f11(x19461,x19462,x19463,x19464,x19465,x19466,x19467,a1),f11(x19461,x19462,x19463,x19464,x19465,x19466,x19467,a2))),
% 63.65/63.82 inference(rename_variables,[],[118])).
% 63.65/63.82 cnf(1951,plain,
% 63.65/63.82 (E(f13(a2,a2,x19511,x19512,x19513,x19514,x19515,x19516),f13(a1,a1,x19511,x19512,x19513,x19514,x19515,x19516))),
% 63.65/63.82 inference(scs_inference,[],[118,1940,1943,1946,123,1794,1944,1825,1297,41,30,31,3,2])).
% 63.65/63.82 cnf(2220,plain,
% 63.65/63.82 (E(f12(x22201,x22202,x22203,x22204,x22205,x22206,a2,a2),f12(x22201,x22202,x22203,x22204,x22205,x22206,a1,a1))),
% 63.65/63.82 inference(rename_variables,[],[178])).
% 63.65/63.82 cnf(2225,plain,
% 63.65/63.82 ($false),
% 63.65/63.82 inference(scs_inference,[],[53,54,56,67,65,66,68,63,69,70,58,60,72,59,61,1630,1564,178,2220,1951,226,100,330,153,630,30,31,42,84]),
% 63.65/63.82 ['proof']).
% 63.65/63.82 % SZS output end Proof
% 63.65/63.82 % Total time :63.020000s
%------------------------------------------------------------------------------