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CSE---1.7.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE---1.7
% Problem  : LAT276-2 : TPTP v8.2.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s

% Computer : n023.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 10:18:32 EDT 2024

% Result   : Unsatisfiable 60.29s 60.41s
% Output   : CNFRefutation 60.29s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : LAT276-2 : TPTP v8.2.0. Released v3.2.0.
% 0.07/0.12  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34  % Computer : n023.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   : Fri Jun 21 22:12:09 EDT 2024
% 0.12/0.34  % CPUTime    : 
% 0.43/0.60  start to proof:theBenchmark
% 60.29/60.40  %-------------------------------------------
% 60.29/60.40  % File        :CSE---1.7
% 60.29/60.40  % Problem     :theBenchmark
% 60.29/60.40  % Transform   :cnf
% 60.29/60.40  % Format      :tptp:raw
% 60.29/60.40  % Command     :java -jar mcs_scs.jar %d %s
% 60.29/60.40  
% 60.29/60.40  % Result      :Theorem 59.710000s
% 60.29/60.40  % Output      :CNFRefutation 59.710000s
% 60.29/60.40  %-------------------------------------------
% 60.29/60.41  %------------------------------------------------------------------------------
% 60.29/60.41  % File     : LAT276-2 : TPTP v8.2.0. Released v3.2.0.
% 60.29/60.41  % Domain   : Analysis
% 60.29/60.41  % Problem  : Problem about Tarski's fixed point theorem
% 60.29/60.41  % Version  : [Pau06] axioms : Reduced > Especial.
% 60.29/60.41  % English  :
% 60.29/60.41  
% 60.29/60.41  % Refs     : [Pau06] Paulson (2006), Email to G. Sutcliffe
% 60.29/60.41  % Source   : [Pau06]
% 60.29/60.41  % Names    :
% 60.29/60.41  
% 60.29/60.41  % Status   : Unsatisfiable
% 60.29/60.41  % Rating   : 0.15 v8.2.0, 0.10 v8.1.0, 0.00 v7.5.0, 0.05 v7.4.0, 0.12 v7.3.0, 0.08 v7.0.0, 0.13 v6.4.0, 0.07 v6.3.0, 0.00 v5.5.0, 0.15 v5.4.0, 0.20 v5.3.0, 0.11 v5.2.0, 0.06 v5.0.0, 0.07 v4.1.0, 0.08 v4.0.1, 0.00 v4.0.0, 0.09 v3.7.0, 0.10 v3.5.0, 0.09 v3.4.0, 0.25 v3.3.0, 0.21 v3.2.0
% 60.29/60.41  % Syntax   : Number of clauses     :   12 (   3 unt;   3 nHn;  12 RR)
% 60.29/60.41  %            Number of literals    :   29 (   2 equ;  15 neg)
% 60.29/60.41  %            Maximal clause size   :    4 (   2 avg)
% 60.29/60.41  %            Maximal term depth    :    3 (   1 avg)
% 60.29/60.41  %            Number of predicates  :    3 (   2 usr;   0 prp; 2-3 aty)
% 60.29/60.41  %            Number of functors    :   14 (  14 usr;   7 con; 0-4 aty)
% 60.29/60.41  %            Number of variables   :   12 (   0 sgn)
% 60.29/60.41  % SPC      : CNF_UNS_RFO_SEQ_NHN
% 60.29/60.41  
% 60.29/60.41  % Comments : The problems in the [Pau06] collection each have very many axioms,
% 60.29/60.41  %            of which only a small selection are required for the refutation.
% 60.29/60.41  %            The mission is to find those few axioms, after which a refutation
% 60.29/60.41  %            can be quite easily found. This version has only the necessary
% 60.29/60.41  %            axioms.
% 60.29/60.41  %------------------------------------------------------------------------------
% 60.29/60.41  cnf(cls_conjecture_0,negated_conjecture,
% 60.29/60.41      c_lessequals(v_S,v_A,tc_set(t_a)) ).
% 60.29/60.41  
% 60.29/60.41  cnf(cls_conjecture_10,negated_conjecture,
% 60.29/60.41      ( c_in(c_Pair(V_V,v_xa,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))
% 60.29/60.41      | ~ c_in(V_V,v_S,t_a)
% 60.29/60.41      | ~ c_in(c_Pair(v_xa,c_Tarski_Olub(v_S,v_cl,t_a),t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)) ) ).
% 60.29/60.41  
% 60.29/60.41  cnf(cls_conjecture_3,negated_conjecture,
% 60.29/60.41      ( c_in(v_xa,c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),t_a)
% 60.29/60.41      | c_in(v_xa,v_S,t_a) ) ).
% 60.29/60.41  
% 60.29/60.41  cnf(cls_conjecture_4,negated_conjecture,
% 60.29/60.41      ( ~ c_in(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))
% 60.29/60.41      | c_in(v_xa,v_S,t_a) ) ).
% 60.29/60.41  
% 60.29/60.41  cnf(cls_conjecture_6,negated_conjecture,
% 60.29/60.41      ( ~ c_in(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))
% 60.29/60.41      | ~ c_in(c_Pair(v_xa,c_Tarski_Olub(v_S,v_cl,t_a),t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)) ) ).
% 60.29/60.41  
% 60.29/60.41  cnf(cls_conjecture_9,negated_conjecture,
% 60.29/60.41      ( c_in(c_Pair(V_U,v_xa,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))
% 60.29/60.41      | ~ c_in(V_U,v_S,t_a)
% 60.29/60.41      | c_in(v_xa,v_S,t_a) ) ).
% 60.29/60.41  
% 60.29/60.41  cnf(cls_Set_OsubsetD_0,axiom,
% 60.29/60.41      ( ~ c_in(V_c,V_A,T_a)
% 60.29/60.41      | ~ c_lessequals(V_A,V_B,tc_set(T_a))
% 60.29/60.41      | c_in(V_c,V_B,T_a) ) ).
% 60.29/60.41  
% 60.29/60.41  cnf(cls_Tarski_OA_A_61_61_Apset_Acl_0,axiom,
% 60.29/60.41      v_A = c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit) ).
% 60.29/60.41  
% 60.29/60.41  cnf(cls_Tarski_O_91_124_AS1_A_60_61_AA_59_AL1_A_58_AA_59_AALL_Ax_58S1_O_A_Ix_M_AL1_J_A_58_Ar_A_124_93_A_61_61_62_A_Ilub_AS1_Acl_M_AL1_J_A_58_Ar_A_61_61_ATrue_0,axiom,
% 60.29/60.41      ( ~ c_in(V_L,v_A,t_a)
% 60.29/60.41      | ~ c_lessequals(V_S,v_A,tc_set(t_a))
% 60.29/60.41      | c_in(c_Pair(c_Tarski_Olub(V_S,v_cl,t_a),V_L,t_a,t_a),v_r,tc_prod(t_a,t_a))
% 60.29/60.41      | c_in(v_sko__4mP(V_L,V_S,v_r),V_S,t_a) ) ).
% 60.29/60.41  
% 60.29/60.41  cnf(cls_Tarski_O_91_124_AS1_A_60_61_AA_59_AL1_A_58_AA_59_AALL_Ax_58S1_O_A_Ix_M_AL1_J_A_58_Ar_A_124_93_A_61_61_62_A_Ilub_AS1_Acl_M_AL1_J_A_58_Ar_A_61_61_ATrue_1,axiom,
% 60.29/60.41      ( ~ c_in(V_L,v_A,t_a)
% 60.29/60.41      | ~ c_in(c_Pair(v_sko__4mP(V_L,V_S,v_r),V_L,t_a,t_a),v_r,tc_prod(t_a,t_a))
% 60.29/60.41      | ~ c_lessequals(V_S,v_A,tc_set(t_a))
% 60.29/60.41      | c_in(c_Pair(c_Tarski_Olub(V_S,v_cl,t_a),V_L,t_a,t_a),v_r,tc_prod(t_a,t_a)) ) ).
% 60.29/60.41  
% 60.29/60.41  cnf(cls_Tarski_O_91_124_AS1_A_60_61_AA_59_Ax1_A_58_AS1_A_124_93_A_61_61_62_A_Ix1_M_Alub_AS1_Acl_J_A_58_Ar_A_61_61_ATrue_0,axiom,
% 60.29/60.41      ( ~ c_in(V_x,V_S,t_a)
% 60.29/60.41      | ~ c_lessequals(V_S,v_A,tc_set(t_a))
% 60.29/60.41      | c_in(c_Pair(V_x,c_Tarski_Olub(V_S,v_cl,t_a),t_a,t_a),v_r,tc_prod(t_a,t_a)) ) ).
% 60.29/60.41  
% 60.29/60.41  cnf(cls_Tarski_Or_A_61_61_Aorder_Acl_0,axiom,
% 60.29/60.41      v_r = c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit) ).
% 60.29/60.41  
% 60.29/60.41  %------------------------------------------------------------------------------
% 60.29/60.41  %-------------------------------------------
% 60.29/60.41  % Proof found
% 60.29/60.41  % SZS status Theorem for theBenchmark
% 60.29/60.41  % SZS output start Proof
% 60.29/60.41  %ClaNum:40(EqnAxiom:28)
% 60.29/60.41  %VarNum:32(SingletonVarNum:12)
% 60.29/60.41  %MaxLitNum:4
% 60.29/60.41  %MaxfuncDepth:2
% 60.29/60.41  %SharedTerms:21
% 60.29/60.41  %goalClause: 31 32 34 37 38 40
% 60.29/60.41  %singleGoalClaCount:1
% 60.29/60.41  [29]E(f3(a1,a2,a7),a8)
% 60.29/60.41  [30]E(f4(a1,a2,a7),a12)
% 60.29/60.41  [31]P1(a11,a8,f9(a2))
% 60.29/60.41  [32]P2(a13,a11,a2)+P2(a13,f3(a1,a2,a7),a2)
% 60.29/60.41  [37]P2(a13,a11,a2)+~P2(f5(f6(a11,a1,a2),a13,a2,a2),f4(a1,a2,a7),f10(a2,a2))
% 60.29/60.41  [40]~P2(f5(a13,f6(a11,a1,a2),a2,a2),f4(a1,a2,a7),f10(a2,a2))+~P2(f5(f6(a11,a1,a2),a13,a2,a2),f4(a1,a2,a7),f10(a2,a2))
% 60.29/60.41  [34]P2(a13,a11,a2)+~P2(x341,a11,a2)+P2(f5(x341,a13,a2,a2),f4(a1,a2,a7),f10(a2,a2))
% 60.29/60.41  [38]P2(f5(x381,a13,a2,a2),f4(a1,a2,a7),f10(a2,a2))+~P2(x381,a11,a2)+~P2(f5(a13,f6(a11,a1,a2),a2,a2),f4(a1,a2,a7),f10(a2,a2))
% 60.29/60.41  [35]~P2(x351,x352,a2)+~P1(x352,a8,f9(a2))+P2(f5(x351,f6(x352,a1,a2),a2,a2),a12,f10(a2,a2))
% 60.29/60.41  [33]P2(x331,x332,x333)+~P2(x331,x334,x333)+~P1(x334,x332,f9(x333))
% 60.29/60.41  [36]~P2(x361,a8,a2)+P2(f14(x361,x362,a12),x362,a2)+~P1(x362,a8,f9(a2))+P2(f5(f6(x362,a1,a2),x361,a2,a2),a12,f10(a2,a2))
% 60.29/60.41  [39]~P2(x392,a8,a2)+~P1(x391,a8,f9(a2))+~P2(f5(f14(x392,x391,a12),x392,a2,a2),a12,f10(a2,a2))+P2(f5(f6(x391,a1,a2),x392,a2,a2),a12,f10(a2,a2))
% 60.29/60.41  %EqnAxiom
% 60.29/60.41  [1]E(x11,x11)
% 60.29/60.41  [2]E(x22,x21)+~E(x21,x22)
% 60.29/60.41  [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 60.29/60.41  [4]~E(x41,x42)+E(f3(x41,x43,x44),f3(x42,x43,x44))
% 60.29/60.41  [5]~E(x51,x52)+E(f3(x53,x51,x54),f3(x53,x52,x54))
% 60.29/60.41  [6]~E(x61,x62)+E(f3(x63,x64,x61),f3(x63,x64,x62))
% 60.29/60.41  [7]~E(x71,x72)+E(f4(x71,x73,x74),f4(x72,x73,x74))
% 60.29/60.41  [8]~E(x81,x82)+E(f4(x83,x81,x84),f4(x83,x82,x84))
% 60.29/60.41  [9]~E(x91,x92)+E(f4(x93,x94,x91),f4(x93,x94,x92))
% 60.29/60.41  [10]~E(x101,x102)+E(f9(x101),f9(x102))
% 60.29/60.41  [11]~E(x111,x112)+E(f10(x111,x113),f10(x112,x113))
% 60.29/60.41  [12]~E(x121,x122)+E(f10(x123,x121),f10(x123,x122))
% 60.29/60.41  [13]~E(x131,x132)+E(f6(x131,x133,x134),f6(x132,x133,x134))
% 60.29/60.41  [14]~E(x141,x142)+E(f6(x143,x141,x144),f6(x143,x142,x144))
% 60.29/60.41  [15]~E(x151,x152)+E(f6(x153,x154,x151),f6(x153,x154,x152))
% 60.29/60.41  [16]~E(x161,x162)+E(f5(x161,x163,x164,x165),f5(x162,x163,x164,x165))
% 60.29/60.41  [17]~E(x171,x172)+E(f5(x173,x171,x174,x175),f5(x173,x172,x174,x175))
% 60.29/60.41  [18]~E(x181,x182)+E(f5(x183,x184,x181,x185),f5(x183,x184,x182,x185))
% 60.29/60.41  [19]~E(x191,x192)+E(f5(x193,x194,x195,x191),f5(x193,x194,x195,x192))
% 60.29/60.41  [20]~E(x201,x202)+E(f14(x201,x203,x204),f14(x202,x203,x204))
% 60.29/60.41  [21]~E(x211,x212)+E(f14(x213,x211,x214),f14(x213,x212,x214))
% 60.29/60.41  [22]~E(x221,x222)+E(f14(x223,x224,x221),f14(x223,x224,x222))
% 60.29/60.41  [23]P1(x232,x233,x234)+~E(x231,x232)+~P1(x231,x233,x234)
% 60.29/60.41  [24]P1(x243,x242,x244)+~E(x241,x242)+~P1(x243,x241,x244)
% 60.29/60.41  [25]P1(x253,x254,x252)+~E(x251,x252)+~P1(x253,x254,x251)
% 60.29/60.41  [26]P2(x262,x263,x264)+~E(x261,x262)+~P2(x261,x263,x264)
% 60.29/60.41  [27]P2(x273,x272,x274)+~E(x271,x272)+~P2(x273,x271,x274)
% 60.29/60.41  [28]P2(x283,x284,x282)+~E(x281,x282)+~P2(x283,x284,x281)
% 60.29/60.41  
% 60.29/60.41  %-------------------------------------------
% 60.29/60.42  cnf(41,plain,
% 60.29/60.42     (E(a8,f3(a1,a2,a7))),
% 60.29/60.42     inference(scs_inference,[],[29,2])).
% 60.29/60.42  cnf(42,plain,
% 60.29/60.42     (P1(a11,f3(a1,a2,a7),f9(a2))),
% 60.29/60.42     inference(scs_inference,[],[31,29,2,24])).
% 60.29/60.42  cnf(43,plain,
% 60.29/60.42     (P2(x431,a8,a2)+~P2(x431,a11,a2)),
% 60.29/60.42     inference(scs_inference,[],[31,29,2,24,33])).
% 60.29/60.42  cnf(49,plain,
% 60.29/60.42     (E(a12,f4(a1,a2,a7))),
% 60.29/60.42     inference(scs_inference,[],[30,2])).
% 60.29/60.42  cnf(50,plain,
% 60.29/60.42     (P2(x501,f3(a1,a2,a7),a2)+~P2(x501,a11,a2)),
% 60.29/60.42     inference(scs_inference,[],[42,30,2,33])).
% 60.29/60.42  cnf(72,plain,
% 60.29/60.42     (P2(a13,a8,a2)+P2(a13,f3(a1,a2,a7),a2)),
% 60.29/60.42     inference(scs_inference,[],[43,32])).
% 60.29/60.42  cnf(80,plain,
% 60.29/60.42     (P2(a13,f3(a1,a2,a7),a2)),
% 60.29/60.42     inference(scs_inference,[],[41,72,27])).
% 60.29/60.42  cnf(81,plain,
% 60.29/60.42     (P2(a13,a8,a2)),
% 60.29/60.42     inference(scs_inference,[],[80,29,27])).
% 60.29/60.42  cnf(87,plain,
% 60.29/60.42     (P2(x871,a8,a2)+~E(a13,x871)),
% 60.29/60.42     inference(scs_inference,[],[81,26])).
% 60.29/60.42  cnf(101,plain,
% 60.29/60.42     (~P2(f5(f6(a11,a1,a2),a13,a2,a2),f4(a1,a2,a7),f10(a2,a2))+P2(f5(a13,f6(a11,a1,a2),a2,a2),a12,f10(a2,a2))),
% 60.29/60.42     inference(scs_inference,[],[31,37,35])).
% 60.29/60.42  cnf(102,plain,
% 60.29/60.42     (P2(f5(a13,f6(a11,a1,a2),a2,a2),f4(a1,a2,a7),f10(a2,a2))+~P2(f5(f6(a11,a1,a2),a13,a2,a2),f4(a1,a2,a7),f10(a2,a2))),
% 60.29/60.42     inference(scs_inference,[],[49,101,27])).
% 60.29/60.42  cnf(103,plain,
% 60.29/60.42     (~P2(f5(f6(a11,a1,a2),a13,a2,a2),f4(a1,a2,a7),f10(a2,a2))),
% 60.29/60.42     inference(scs_inference,[],[40,102])).
% 60.29/60.42  cnf(212,plain,
% 60.29/60.42     (~E(f5(x2121,a13,a2,a2),f5(f6(a11,a1,a2),a13,a2,a2))+~P2(x2121,a11,a2)+~P2(f5(a13,f6(a11,a1,a2),a2,a2),f4(a1,a2,a7),f10(a2,a2))),
% 60.29/60.42     inference(scs_inference,[],[103,38,26])).
% 60.29/60.42  cnf(213,plain,
% 60.29/60.42     (~P2(f6(a11,a1,a2),a11,a2)+~P2(f5(a13,f6(a11,a1,a2),a2,a2),f4(a1,a2,a7),f10(a2,a2))),
% 60.29/60.42     inference(equality_inference,[],[212])).
% 60.29/60.42  cnf(216,plain,
% 60.29/60.42     (E(f3(a8,x2161,x2162),f3(f3(a1,a2,a7),x2161,x2162))),
% 60.29/60.42     inference(scs_inference,[],[29,2,4])).
% 60.29/60.42  cnf(217,plain,
% 60.29/60.42     (E(f3(f3(a1,a2,a7),x2171,x2172),f3(a8,x2171,x2172))),
% 60.29/60.42     inference(scs_inference,[],[216,2])).
% 60.29/60.42  cnf(218,plain,
% 60.29/60.42     (E(f3(x2181,a8,x2182),f3(x2181,f3(a1,a2,a7),x2182))),
% 60.29/60.42     inference(scs_inference,[],[29,2,5])).
% 60.29/60.42  cnf(219,plain,
% 60.29/60.42     (E(f3(x2191,f3(a1,a2,a7),x2192),f3(x2191,a8,x2192))),
% 60.29/60.42     inference(scs_inference,[],[218,2])).
% 60.29/60.42  cnf(220,plain,
% 60.29/60.42     (E(f3(f3(a1,a2,a7),a8,x2201),f3(a8,f3(a1,a2,a7),x2201))),
% 60.29/60.42     inference(scs_inference,[],[217,218,2,3])).
% 60.29/60.42  cnf(223,plain,
% 60.29/60.42     (E(f3(x2231,x2232,a8),f3(x2231,x2232,f3(a1,a2,a7)))),
% 60.29/60.42     inference(scs_inference,[],[29,2,6])).
% 60.29/60.42  cnf(224,plain,
% 60.29/60.42     (E(f3(x2241,x2242,f3(a1,a2,a7)),f3(x2241,x2242,a8))),
% 60.29/60.42     inference(scs_inference,[],[223,2])).
% 60.29/60.42  cnf(225,plain,
% 60.29/60.42     (E(f3(x2251,f3(a1,a2,a7),a8),f3(x2251,a8,f3(a1,a2,a7)))),
% 60.29/60.42     inference(scs_inference,[],[219,223,2,3])).
% 60.29/60.42  cnf(228,plain,
% 60.29/60.42     (E(f4(f3(a1,a2,a7),x2281,x2282),f4(a8,x2281,x2282))),
% 60.29/60.42     inference(scs_inference,[],[41,2,7])).
% 60.29/60.42  cnf(229,plain,
% 60.29/60.42     (E(f4(a8,x2291,x2292),f4(f3(a1,a2,a7),x2291,x2292))),
% 60.29/60.42     inference(scs_inference,[],[228,2])).
% 60.29/60.42  cnf(230,plain,
% 60.29/60.42     (E(f3(f3(a1,a2,a7),a8,f3(a1,a2,a7)),f3(a8,f3(a1,a2,a7),a8))),
% 60.29/60.42     inference(scs_inference,[],[224,228,220,2,3])).
% 60.29/60.42  cnf(233,plain,
% 60.29/60.42     (E(f4(x2331,a8,x2332),f4(x2331,f3(a1,a2,a7),x2332))),
% 60.29/60.42     inference(scs_inference,[],[29,2,8])).
% 60.29/60.42  cnf(234,plain,
% 60.29/60.42     (E(f4(x2341,f3(a1,a2,a7),x2342),f4(x2341,a8,x2342))),
% 60.29/60.42     inference(scs_inference,[],[233,2])).
% 60.29/60.42  cnf(235,plain,
% 60.29/60.42     (E(f4(a8,a8,x2351),f4(f3(a1,a2,a7),f3(a1,a2,a7),x2351))),
% 60.29/60.42     inference(scs_inference,[],[229,233,2,3])).
% 60.29/60.42  cnf(238,plain,
% 60.29/60.42     (E(f4(x2381,x2382,f3(a1,a2,a7)),f4(x2381,x2382,a8))),
% 60.29/60.42     inference(scs_inference,[],[41,2,9])).
% 60.29/60.42  cnf(239,plain,
% 60.29/60.42     (E(f4(x2391,x2392,a8),f4(x2391,x2392,f3(a1,a2,a7)))),
% 60.29/60.42     inference(scs_inference,[],[238,2])).
% 60.29/60.42  cnf(240,plain,
% 60.29/60.42     (E(f4(x2401,f3(a1,a2,a7),f3(a1,a2,a7)),f4(x2401,a8,a8))),
% 60.29/60.42     inference(scs_inference,[],[234,238,2,3])).
% 60.29/60.42  cnf(243,plain,
% 60.29/60.42     (E(f10(a8,x2431),f10(f3(a1,a2,a7),x2431))),
% 60.29/60.42     inference(scs_inference,[],[29,2,11])).
% 60.29/60.42  cnf(245,plain,
% 60.29/60.42     (E(f4(a8,a8,a8),f4(f3(a1,a2,a7),f3(a1,a2,a7),f3(a1,a2,a7)))),
% 60.29/60.42     inference(scs_inference,[],[239,230,235,2,3])).
% 60.29/60.42  cnf(248,plain,
% 60.29/60.42     (E(f10(x2481,f3(a1,a2,a7)),f10(x2481,a8))),
% 60.29/60.42     inference(scs_inference,[],[41,2,12])).
% 60.29/60.42  cnf(249,plain,
% 60.29/60.42     (E(f10(x2491,a8),f10(x2491,f3(a1,a2,a7)))),
% 60.29/60.42     inference(scs_inference,[],[248,2])).
% 60.29/60.42  cnf(250,plain,
% 60.29/60.42     (E(f10(a8,f3(a1,a2,a7)),f10(f3(a1,a2,a7),a8))),
% 60.29/60.42     inference(scs_inference,[],[248,243,2,3])).
% 60.29/60.42  cnf(253,plain,
% 60.29/60.42     (E(f6(a8,x2531,x2532),f6(f3(a1,a2,a7),x2531,x2532))),
% 60.29/60.42     inference(scs_inference,[],[29,2,13])).
% 60.29/60.42  cnf(254,plain,
% 60.29/60.42     (E(f6(f3(a1,a2,a7),x2541,x2542),f6(a8,x2541,x2542))),
% 60.29/60.42     inference(scs_inference,[],[253,2])).
% 60.29/60.42  cnf(255,plain,
% 60.29/60.42     (E(f3(f3(a1,a2,a7),a8,f3(a1,a2,a7)),f3(a8,a8,a8))),
% 60.29/60.42     inference(scs_inference,[],[253,230,219,2,3])).
% 60.29/60.42  cnf(257,plain,
% 60.29/60.42     (E(f6(x2571,f3(a1,a2,a7),x2572),f6(x2571,a8,x2572))),
% 60.29/60.42     inference(scs_inference,[],[41,2,14])).
% 60.29/60.42  cnf(258,plain,
% 60.29/60.42     (E(f6(x2581,a8,x2582),f6(x2581,f3(a1,a2,a7),x2582))),
% 60.29/60.42     inference(scs_inference,[],[257,2])).
% 60.29/60.42  cnf(259,plain,
% 60.29/60.42     (E(f6(f3(a1,a2,a7),f3(a1,a2,a7),x2591),f6(a8,a8,x2591))),
% 60.29/60.42     inference(scs_inference,[],[254,257,2,3])).
% 60.29/60.42  cnf(262,plain,
% 60.29/60.42     (E(f6(x2621,x2622,a8),f6(x2621,x2622,f3(a1,a2,a7)))),
% 60.29/60.42     inference(scs_inference,[],[29,2,15])).
% 60.29/60.42  cnf(263,plain,
% 60.29/60.42     (E(f6(x2631,x2632,f3(a1,a2,a7)),f6(x2631,x2632,a8))),
% 60.29/60.42     inference(scs_inference,[],[262,2])).
% 60.29/60.42  cnf(264,plain,
% 60.29/60.42     (E(f6(x2641,a8,a8),f6(x2641,f3(a1,a2,a7),f3(a1,a2,a7)))),
% 60.29/60.42     inference(scs_inference,[],[258,262,2,3])).
% 60.29/60.42  cnf(267,plain,
% 60.29/60.42     (E(f5(f3(a1,a2,a7),x2671,x2672,x2673),f5(a8,x2671,x2672,x2673))),
% 60.29/60.42     inference(scs_inference,[],[41,2,16])).
% 60.29/60.42  cnf(268,plain,
% 60.29/60.42     (E(f5(a8,x2681,x2682,x2683),f5(f3(a1,a2,a7),x2681,x2682,x2683))),
% 60.29/60.42     inference(scs_inference,[],[267,2])).
% 60.29/60.42  cnf(269,plain,
% 60.29/60.42     (E(f6(f3(a1,a2,a7),f3(a1,a2,a7),f3(a1,a2,a7)),f6(a8,a8,a8))),
% 60.29/60.42     inference(scs_inference,[],[267,263,259,2,3])).
% 60.29/60.42  cnf(272,plain,
% 60.29/60.42     (E(f5(x2721,a8,x2722,x2723),f5(x2721,f3(a1,a2,a7),x2722,x2723))),
% 60.29/60.42     inference(scs_inference,[],[29,2,17])).
% 60.29/60.42  cnf(273,plain,
% 60.29/60.42     (E(f5(x2731,f3(a1,a2,a7),x2732,x2733),f5(x2731,a8,x2732,x2733))),
% 60.29/60.42     inference(scs_inference,[],[272,2])).
% 60.29/60.42  cnf(274,plain,
% 60.29/60.42     (E(f5(a8,a8,x2741,x2742),f5(f3(a1,a2,a7),f3(a1,a2,a7),x2741,x2742))),
% 60.29/60.42     inference(scs_inference,[],[268,272,2,3])).
% 60.29/60.42  cnf(277,plain,
% 60.29/60.42     (E(f5(x2771,x2772,f3(a1,a2,a7),x2773),f5(x2771,x2772,a8,x2773))),
% 60.29/60.42     inference(scs_inference,[],[41,2,18])).
% 60.29/60.42  cnf(278,plain,
% 60.29/60.42     (E(f5(x2781,x2782,a8,x2783),f5(x2781,x2782,f3(a1,a2,a7),x2783))),
% 60.29/60.42     inference(scs_inference,[],[277,2])).
% 60.29/60.42  cnf(279,plain,
% 60.29/60.42     (E(f5(x2791,f3(a1,a2,a7),f3(a1,a2,a7),x2792),f5(x2791,a8,a8,x2792))),
% 60.29/60.42     inference(scs_inference,[],[273,277,2,3])).
% 60.29/60.42  cnf(282,plain,
% 60.29/60.42     (E(f5(x2821,x2822,x2823,a8),f5(x2821,x2822,x2823,f3(a1,a2,a7)))),
% 60.29/60.42     inference(scs_inference,[],[29,2,19])).
% 60.29/60.42  cnf(283,plain,
% 60.29/60.42     (E(f5(x2831,x2832,x2833,f3(a1,a2,a7)),f5(x2831,x2832,x2833,a8))),
% 60.29/60.42     inference(scs_inference,[],[282,2])).
% 60.29/60.42  cnf(284,plain,
% 60.29/60.42     (E(f5(x2841,x2842,a8,a8),f5(x2841,x2842,f3(a1,a2,a7),f3(a1,a2,a7)))),
% 60.29/60.42     inference(scs_inference,[],[278,282,2,3])).
% 60.29/60.42  cnf(287,plain,
% 60.29/60.42     (E(f14(f3(a1,a2,a7),x2871,x2872),f14(a8,x2871,x2872))),
% 60.29/60.42     inference(scs_inference,[],[41,2,20])).
% 60.29/60.42  cnf(288,plain,
% 60.29/60.42     (E(f14(a8,x2881,x2882),f14(f3(a1,a2,a7),x2881,x2882))),
% 60.29/60.42     inference(scs_inference,[],[287,2])).
% 60.29/60.42  cnf(289,plain,
% 60.29/60.42     (E(f5(x2891,f3(a1,a2,a7),f3(a1,a2,a7),f3(a1,a2,a7)),f5(x2891,a8,a8,a8))),
% 60.29/60.42     inference(scs_inference,[],[283,287,279,2,3])).
% 60.29/60.42  cnf(292,plain,
% 60.29/60.42     (E(f14(x2921,a8,x2922),f14(x2921,f3(a1,a2,a7),x2922))),
% 60.29/60.42     inference(scs_inference,[],[29,2,21])).
% 60.29/60.42  cnf(293,plain,
% 60.29/60.42     (E(f14(x2931,f3(a1,a2,a7),x2932),f14(x2931,a8,x2932))),
% 60.29/60.42     inference(scs_inference,[],[292,2])).
% 60.29/60.42  cnf(294,plain,
% 60.29/60.42     (E(f14(a8,a8,x2941),f14(f3(a1,a2,a7),f3(a1,a2,a7),x2941))),
% 60.29/60.42     inference(scs_inference,[],[288,292,2,3])).
% 60.29/60.42  cnf(297,plain,
% 60.29/60.42     (E(f14(x2971,x2972,f3(a1,a2,a7)),f14(x2971,x2972,a8))),
% 60.29/60.42     inference(scs_inference,[],[41,2,22])).
% 60.29/60.42  cnf(298,plain,
% 60.29/60.42     (E(f14(x2981,x2982,a8),f14(x2981,x2982,f3(a1,a2,a7)))),
% 60.29/60.42     inference(scs_inference,[],[297,2])).
% 60.29/60.42  cnf(299,plain,
% 60.29/60.42     (E(f14(x2991,f3(a1,a2,a7),f3(a1,a2,a7)),f14(x2991,a8,a8))),
% 60.29/60.42     inference(scs_inference,[],[293,297,2,3])).
% 60.29/60.42  cnf(302,plain,
% 60.29/60.42     (E(f3(a8,a8,a8),f3(f3(a1,a2,a7),a8,f3(a1,a2,a7)))),
% 60.29/60.42     inference(scs_inference,[],[255,2])).
% 60.29/60.42  cnf(303,plain,
% 60.29/60.42     (E(f5(a8,a8,a8,a8),f5(f3(a1,a2,a7),f3(a1,a2,a7),f3(a1,a2,a7),f3(a1,a2,a7)))),
% 60.29/60.42     inference(scs_inference,[],[255,274,284,2,3])).
% 60.29/60.42  cnf(309,plain,
% 60.29/60.42     (E(f3(f3(a1,a2,a7),f3(a1,a2,a7),a8),f3(a8,a8,f3(a1,a2,a7)))),
% 60.29/60.42     inference(scs_inference,[],[269,225,217,2,3])).
% 60.29/60.42  cnf(313,plain,
% 60.29/60.42     (E(f3(a8,a8,f3(a1,a2,a7)),f3(f3(a1,a2,a7),f3(a1,a2,a7),a8))),
% 60.29/60.42     inference(scs_inference,[],[309,2])).
% 60.29/60.42  cnf(314,plain,
% 60.29/60.42     (E(f3(f3(a1,a2,a7),f3(a1,a2,a7),f3(a1,a2,a7)),f3(a8,a8,f3(a1,a2,a7)))),
% 60.29/60.42     inference(scs_inference,[],[309,224,2,3])).
% 60.29/60.42  cnf(318,plain,
% 60.29/60.42     (E(f6(f3(a1,a2,a7),a8,a8),f6(a8,f3(a1,a2,a7),f3(a1,a2,a7)))),
% 60.29/60.42     inference(scs_inference,[],[314,264,254,2,3])).
% 60.29/60.42  cnf(322,plain,
% 60.29/60.42     (E(f6(a8,f3(a1,a2,a7),f3(a1,a2,a7)),f6(f3(a1,a2,a7),a8,a8))),
% 60.29/60.42     inference(scs_inference,[],[318,2])).
% 60.29/60.42  cnf(323,plain,
% 60.29/60.42     (E(f6(f3(a1,a2,a7),a8,f3(a1,a2,a7)),f6(a8,f3(a1,a2,a7),f3(a1,a2,a7)))),
% 60.29/60.42     inference(scs_inference,[],[318,263,2,3])).
% 60.29/60.42  cnf(327,plain,
% 60.29/60.42     (E(f14(a8,a8,a8),f14(f3(a1,a2,a7),f3(a1,a2,a7),f3(a1,a2,a7)))),
% 60.29/60.42     inference(scs_inference,[],[323,298,294,2,3])).
% 60.29/60.42  cnf(332,plain,
% 60.29/60.42     (E(f5(a8,a8,a8,a8),f5(a8,f3(a1,a2,a7),f3(a1,a2,a7),f3(a1,a2,a7)))),
% 60.29/60.42     inference(scs_inference,[],[245,303,267,2,3])).
% 60.29/60.42  cnf(336,plain,
% 60.29/60.42     (E(f5(a8,a8,a8,a8),f5(a8,f3(a1,a2,a7),f3(a1,a2,a7),a8))),
% 60.29/60.42     inference(scs_inference,[],[332,250,283,2,3])).
% 60.29/60.42  cnf(340,plain,
% 60.29/60.42     (E(f10(a8,a8),f10(f3(a1,a2,a7),f3(a1,a2,a7)))),
% 60.29/60.42     inference(scs_inference,[],[249,327,243,2,3])).
% 60.29/60.42  cnf(345,plain,
% 60.29/60.42     (E(f5(a8,a8,a8,a8),f5(f3(a1,a2,a7),f3(a1,a2,a7),f3(a1,a2,a7),a8))),
% 60.29/60.42     inference(scs_inference,[],[340,336,268,2,3])).
% 60.29/60.42  cnf(348,plain,
% 60.29/60.42     (E(f5(f3(a1,a2,a7),f3(a1,a2,a7),f3(a1,a2,a7),a8),f5(a8,a8,a8,a8))),
% 60.29/60.42     inference(scs_inference,[],[345,2])).
% 60.29/60.42  cnf(349,plain,
% 60.29/60.42     (E(f5(a8,f3(a1,a2,a7),f3(a1,a2,a7),f3(a1,a2,a7)),f5(f3(a1,a2,a7),f3(a1,a2,a7),f3(a1,a2,a7),a8))),
% 60.29/60.42     inference(scs_inference,[],[345,289,2,3])).
% 60.29/60.42  cnf(352,plain,
% 60.29/60.42     (E(f5(f3(a1,a2,a7),f3(a1,a2,a7),f3(a1,a2,a7),a8),f5(a8,f3(a1,a2,a7),f3(a1,a2,a7),f3(a1,a2,a7)))),
% 60.29/60.42     inference(scs_inference,[],[349,2])).
% 60.29/60.42  cnf(353,plain,
% 60.29/60.42     (E(f5(a8,f3(a1,a2,a7),f3(a1,a2,a7),f3(a1,a2,a7)),f5(f3(a1,a2,a7),a8,f3(a1,a2,a7),a8))),
% 60.29/60.42     inference(scs_inference,[],[349,273,2,3])).
% 60.29/60.42  cnf(356,plain,
% 60.29/60.42     (E(f5(f3(a1,a2,a7),a8,f3(a1,a2,a7),a8),f5(a8,f3(a1,a2,a7),f3(a1,a2,a7),f3(a1,a2,a7)))),
% 60.29/60.42     inference(scs_inference,[],[353,2])).
% 60.29/60.42  cnf(357,plain,
% 60.29/60.42     (E(f5(f3(a1,a2,a7),f3(a1,a2,a7),a8,a8),f5(a8,f3(a1,a2,a7),f3(a1,a2,a7),f3(a1,a2,a7)))),
% 60.29/60.42     inference(scs_inference,[],[352,353,278,2,3])).
% 60.29/60.42  cnf(360,plain,
% 60.29/60.42     (E(f5(a8,f3(a1,a2,a7),f3(a1,a2,a7),f3(a1,a2,a7)),f5(f3(a1,a2,a7),f3(a1,a2,a7),a8,a8))),
% 60.29/60.42     inference(scs_inference,[],[357,2])).
% 60.29/60.42  cnf(361,plain,
% 60.29/60.42     (E(f5(a8,a8,f3(a1,a2,a7),a8),f5(a8,f3(a1,a2,a7),f3(a1,a2,a7),f3(a1,a2,a7)))),
% 60.29/60.42     inference(scs_inference,[],[357,352,274,2,3])).
% 60.29/60.42  cnf(364,plain,
% 60.29/60.42     (E(f5(a8,f3(a1,a2,a7),f3(a1,a2,a7),f3(a1,a2,a7)),f5(a8,a8,f3(a1,a2,a7),a8))),
% 60.29/60.42     inference(scs_inference,[],[361,2])).
% 60.29/60.42  cnf(365,plain,
% 60.29/60.42     (E(f5(a8,a8,f3(a1,a2,a7),a8),f5(f3(a1,a2,a7),f3(a1,a2,a7),a8,a8))),
% 60.29/60.42     inference(scs_inference,[],[361,360,2,3])).
% 60.29/60.42  cnf(367,plain,
% 60.29/60.42     (E(f5(f3(a1,a2,a7),f3(a1,a2,a7),a8,a8),f5(a8,a8,f3(a1,a2,a7),a8))),
% 60.29/60.42     inference(scs_inference,[],[365,2])).
% 60.29/60.42  cnf(368,plain,
% 60.29/60.42     (E(f5(f3(a1,a2,a7),a8,f3(a1,a2,a7),a8),f5(f3(a1,a2,a7),f3(a1,a2,a7),a8,a8))),
% 60.29/60.42     inference(scs_inference,[],[356,365,360,2,3])).
% 60.29/60.42  cnf(370,plain,
% 60.29/60.42     (E(f5(f3(a1,a2,a7),f3(a1,a2,a7),a8,a8),f5(f3(a1,a2,a7),a8,f3(a1,a2,a7),a8))),
% 60.29/60.42     inference(scs_inference,[],[368,2])).
% 60.29/60.42  cnf(371,plain,
% 60.29/60.42     (E(f5(a8,a8,a8,a8),f5(f3(a1,a2,a7),a8,f3(a1,a2,a7),a8))),
% 60.29/60.42     inference(scs_inference,[],[368,332,353,2,3])).
% 60.29/60.42  cnf(373,plain,
% 60.29/60.42     (E(f5(f3(a1,a2,a7),a8,f3(a1,a2,a7),a8),f5(a8,a8,a8,a8))),
% 60.29/60.42     inference(scs_inference,[],[371,2])).
% 60.29/60.42  cnf(374,plain,
% 60.29/60.42     (E(f4(a8,a8,a8),f4(f3(a1,a2,a7),a8,f3(a1,a2,a7)))),
% 60.29/60.42     inference(scs_inference,[],[371,245,234,2,3])).
% 60.29/60.42  cnf(377,plain,
% 60.29/60.42     (E(f4(f3(a1,a2,a7),a8,f3(a1,a2,a7)),f4(a8,a8,a8))),
% 60.29/60.42     inference(scs_inference,[],[374,2])).
% 60.29/60.42  cnf(378,plain,
% 60.29/60.42     (E(f5(f3(a1,a2,a7),f3(a1,a2,a7),a8,a8),f5(a8,a8,a8,a8))),
% 60.29/60.42     inference(scs_inference,[],[373,370,374,2,3])).
% 60.29/60.42  cnf(380,plain,
% 60.29/60.42     (E(f4(x3801,a8,a8),f4(x3801,f3(a1,a2,a7),f3(a1,a2,a7)))),
% 60.29/60.42     inference(scs_inference,[],[240,2])).
% 60.29/60.42  cnf(381,plain,
% 60.29/60.42     (E(f14(a8,a8,a8),f14(f3(a1,a2,a7),a8,f3(a1,a2,a7)))),
% 60.29/60.42     inference(scs_inference,[],[240,327,293,2,3])).
% 60.29/60.42  cnf(384,plain,
% 60.29/60.42     (E(f14(f3(a1,a2,a7),a8,f3(a1,a2,a7)),f14(a8,a8,a8))),
% 60.29/60.42     inference(scs_inference,[],[381,2])).
% 60.29/60.42  cnf(385,plain,
% 60.29/60.42     (E(f4(f3(a1,a2,a7),a8,a8),f4(a8,f3(a1,a2,a7),f3(a1,a2,a7)))),
% 60.29/60.42     inference(scs_inference,[],[381,380,228,2,3])).
% 60.29/60.42  cnf(389,plain,
% 60.29/60.42     (E(f4(a8,f3(a1,a2,a7),f3(a1,a2,a7)),f4(f3(a1,a2,a7),a8,a8))),
% 60.29/60.42     inference(scs_inference,[],[385,2])).
% 60.29/60.42  cnf(393,plain,
% 60.29/60.42     (E(f14(x3931,a8,a8),f14(x3931,f3(a1,a2,a7),f3(a1,a2,a7)))),
% 60.29/60.42     inference(scs_inference,[],[299,2])).
% 60.29/60.42  cnf(394,plain,
% 60.29/60.42     (E(f6(a8,f3(a1,a2,a7),f3(a1,a2,a7)),f6(f3(a1,a2,a7),f3(a1,a2,a7),a8))),
% 60.29/60.42     inference(scs_inference,[],[322,299,258,2,3])).
% 60.29/60.42  cnf(398,plain,
% 60.29/60.42     (E(f6(f3(a1,a2,a7),a8,f3(a1,a2,a7)),f6(f3(a1,a2,a7),f3(a1,a2,a7),a8))),
% 60.29/60.42     inference(scs_inference,[],[394,323,2,3])).
% 60.29/60.42  cnf(400,plain,
% 60.29/60.42     (E(f6(f3(a1,a2,a7),f3(a1,a2,a7),a8),f6(f3(a1,a2,a7),a8,f3(a1,a2,a7)))),
% 60.29/60.42     inference(scs_inference,[],[398,2])).
% 60.29/60.42  cnf(401,plain,
% 60.29/60.42     (E(f14(f3(a1,a2,a7),a8,a8),f14(a8,f3(a1,a2,a7),f3(a1,a2,a7)))),
% 60.29/60.42     inference(scs_inference,[],[398,393,287,2,3])).
% 60.29/60.42  cnf(405,plain,
% 60.29/60.42     (E(f14(a8,f3(a1,a2,a7),f3(a1,a2,a7)),f14(f3(a1,a2,a7),a8,a8))),
% 60.29/60.42     inference(scs_inference,[],[401,2])).
% 60.29/60.42  cnf(409,plain,
% 60.29/60.42     (E(f5(x4091,a8,a8,x4092),f5(x4091,f3(a1,a2,a7),f3(a1,a2,a7),x4092))),
% 60.29/60.42     inference(scs_inference,[],[279,2])).
% 60.29/60.42  cnf(410,plain,
% 60.29/60.42     (E(f5(f3(a1,a2,a7),f3(a1,a2,a7),a8,a8),f5(a8,f3(a1,a2,a7),f3(a1,a2,a7),a8))),
% 60.29/60.42     inference(scs_inference,[],[378,336,279,2,3])).
% 60.29/60.42  cnf(412,plain,
% 60.29/60.42     (E(f5(a8,f3(a1,a2,a7),f3(a1,a2,a7),a8),f5(f3(a1,a2,a7),f3(a1,a2,a7),a8,a8))),
% 60.29/60.42     inference(scs_inference,[],[410,2])).
% 60.29/60.42  cnf(413,plain,
% 60.29/60.42     (E(f5(a8,a8,a8,f3(a1,a2,a7)),f5(a8,a8,f3(a1,a2,a7),a8))),
% 60.29/60.42     inference(scs_inference,[],[364,410,409,2,3])).
% 60.29/60.42  cnf(416,plain,
% 60.29/60.42     (E(f5(a8,a8,f3(a1,a2,a7),a8),f5(a8,a8,a8,f3(a1,a2,a7)))),
% 60.29/60.42     inference(scs_inference,[],[413,2])).
% 60.29/60.42  cnf(417,plain,
% 60.29/60.42     (E(f5(f3(a1,a2,a7),a8,a8,f3(a1,a2,a7)),f5(a8,a8,f3(a1,a2,a7),a8))),
% 60.29/60.42     inference(scs_inference,[],[413,267,2,3])).
% 60.29/60.42  cnf(420,plain,
% 60.29/60.42     (E(f5(a8,a8,f3(a1,a2,a7),a8),f5(f3(a1,a2,a7),a8,a8,f3(a1,a2,a7)))),
% 60.29/60.42     inference(scs_inference,[],[417,2])).
% 60.29/60.42  cnf(421,plain,
% 60.29/60.42     (E(f5(f3(a1,a2,a7),f3(a1,a2,a7),a8,a8),f5(a8,a8,a8,f3(a1,a2,a7)))),
% 60.29/60.42     inference(scs_inference,[],[367,416,417,2,3])).
% 60.29/60.42  cnf(423,plain,
% 60.29/60.42     (E(f5(a8,a8,a8,f3(a1,a2,a7)),f5(f3(a1,a2,a7),f3(a1,a2,a7),a8,a8))),
% 60.29/60.42     inference(scs_inference,[],[421,2])).
% 60.29/60.42  cnf(424,plain,
% 60.29/60.42     (E(f5(a8,f3(a1,a2,a7),f3(a1,a2,a7),f3(a1,a2,a7)),f5(f3(a1,a2,a7),a8,a8,f3(a1,a2,a7)))),
% 60.29/60.42     inference(scs_inference,[],[420,421,364,2,3])).
% 60.29/60.42  cnf(426,plain,
% 60.29/60.42     (E(f5(f3(a1,a2,a7),a8,a8,f3(a1,a2,a7)),f5(a8,f3(a1,a2,a7),f3(a1,a2,a7),f3(a1,a2,a7)))),
% 60.29/60.42     inference(scs_inference,[],[424,2])).
% 60.29/60.42  cnf(427,plain,
% 60.29/60.42     (E(f5(f3(a1,a2,a7),f3(a1,a2,a7),a8,a8),f5(f3(a1,a2,a7),a8,a8,f3(a1,a2,a7)))),
% 60.29/60.42     inference(scs_inference,[],[424,357,2,3])).
% 60.29/60.42  cnf(429,plain,
% 60.29/60.42     (E(f5(f3(a1,a2,a7),a8,a8,f3(a1,a2,a7)),f5(f3(a1,a2,a7),f3(a1,a2,a7),a8,a8))),
% 60.29/60.42     inference(scs_inference,[],[427,2])).
% 60.29/60.42  cnf(430,plain,
% 60.29/60.42     (E(f5(a8,f3(a1,a2,a7),f3(a1,a2,a7),a8),f5(f3(a1,a2,a7),a8,a8,f3(a1,a2,a7)))),
% 60.29/60.42     inference(scs_inference,[],[427,412,2,3])).
% 60.29/60.42  cnf(432,plain,
% 60.29/60.42     (E(f5(f3(a1,a2,a7),a8,a8,f3(a1,a2,a7)),f5(a8,f3(a1,a2,a7),f3(a1,a2,a7),a8))),
% 60.29/60.42     inference(scs_inference,[],[430,2])).
% 60.29/60.42  cnf(433,plain,
% 60.29/60.42     (E(f5(f3(a1,a2,a7),a8,a8,f3(a1,a2,a7)),f5(f3(a1,a2,a7),a8,f3(a1,a2,a7),a8))),
% 60.29/60.42     inference(scs_inference,[],[430,429,370,2,3])).
% 60.29/60.42  cnf(435,plain,
% 60.29/60.42     (E(f5(f3(a1,a2,a7),a8,f3(a1,a2,a7),a8),f5(f3(a1,a2,a7),a8,a8,f3(a1,a2,a7)))),
% 60.29/60.42     inference(scs_inference,[],[433,2])).
% 60.29/60.42  cnf(436,plain,
% 60.29/60.42     (E(f5(a8,f3(a1,a2,a7),f3(a1,a2,a7),a8),f5(f3(a1,a2,a7),a8,f3(a1,a2,a7),a8))),
% 60.29/60.42     inference(scs_inference,[],[433,430,2,3])).
% 60.29/60.42  cnf(438,plain,
% 60.29/60.42     (E(f5(f3(a1,a2,a7),a8,f3(a1,a2,a7),a8),f5(a8,f3(a1,a2,a7),f3(a1,a2,a7),a8))),
% 60.29/60.42     inference(scs_inference,[],[436,2])).
% 60.29/60.42  cnf(439,plain,
% 60.29/60.42     (E(f5(a8,a8,a8,f3(a1,a2,a7)),f5(a8,f3(a1,a2,a7),f3(a1,a2,a7),a8))),
% 60.29/60.42     inference(scs_inference,[],[436,423,410,2,3])).
% 60.29/60.42  cnf(441,plain,
% 60.29/60.42     (E(f5(a8,f3(a1,a2,a7),f3(a1,a2,a7),a8),f5(a8,a8,a8,f3(a1,a2,a7)))),
% 60.29/60.42     inference(scs_inference,[],[439,2])).
% 60.29/60.42  cnf(442,plain,
% 60.29/60.42     (E(f5(a8,a8,a8,a8),f5(f3(a1,a2,a7),a8,a8,f3(a1,a2,a7)))),
% 60.29/60.42     inference(scs_inference,[],[439,435,371,2,3])).
% 60.29/60.42  cnf(444,plain,
% 60.29/60.42     (E(f5(f3(a1,a2,a7),a8,a8,f3(a1,a2,a7)),f5(a8,a8,a8,a8))),
% 60.29/60.42     inference(scs_inference,[],[442,2])).
% 60.29/60.42  cnf(445,plain,
% 60.29/60.42     (E(f5(f3(a1,a2,a7),f3(a1,a2,a7),f3(a1,a2,a7),a8),f5(f3(a1,a2,a7),a8,a8,f3(a1,a2,a7)))),
% 60.29/60.42     inference(scs_inference,[],[442,348,2,3])).
% 60.29/60.42  cnf(447,plain,
% 60.29/60.42     (E(f5(f3(a1,a2,a7),a8,a8,f3(a1,a2,a7)),f5(f3(a1,a2,a7),f3(a1,a2,a7),f3(a1,a2,a7),a8))),
% 60.29/60.42     inference(scs_inference,[],[445,2])).
% 60.29/60.42  cnf(448,plain,
% 60.29/60.42     (E(f5(f3(a1,a2,a7),a8,f3(a1,a2,a7),a8),f5(a8,a8,a8,f3(a1,a2,a7)))),
% 60.29/60.42     inference(scs_inference,[],[438,445,441,2,3])).
% 60.29/60.42  cnf(450,plain,
% 60.29/60.42     (E(f5(a8,a8,a8,f3(a1,a2,a7)),f5(f3(a1,a2,a7),a8,f3(a1,a2,a7),a8))),
% 60.29/60.42     inference(scs_inference,[],[448,2])).
% 60.29/60.42  cnf(451,plain,
% 60.29/60.42     (E(f5(f3(a1,a2,a7),f3(a1,a2,a7),f3(a1,a2,a7),a8),f5(a8,a8,f3(a1,a2,a7),a8))),
% 60.29/60.42     inference(scs_inference,[],[448,445,417,2,3])).
% 60.29/60.42  cnf(453,plain,
% 60.29/60.42     (E(f5(x4531,x4532,f3(a1,a2,a7),f3(a1,a2,a7)),f5(x4531,x4532,a8,a8))),
% 60.29/60.42     inference(scs_inference,[],[284,2])).
% 60.29/60.42  cnf(454,plain,
% 60.29/60.42     (E(f5(f3(a1,a2,a7),f3(a1,a2,a7),f3(a1,a2,a7),a8),f5(a8,a8,a8,f3(a1,a2,a7)))),
% 60.29/60.42     inference(scs_inference,[],[451,416,284,2,3])).
% 60.29/60.42  cnf(456,plain,
% 60.29/60.42     (E(f5(a8,a8,a8,f3(a1,a2,a7)),f5(f3(a1,a2,a7),f3(a1,a2,a7),f3(a1,a2,a7),a8))),
% 60.29/60.42     inference(scs_inference,[],[454,2])).
% 60.29/60.42  cnf(457,plain,
% 60.29/60.42     (E(f5(f3(a1,a2,a7),a8,a8,f3(a1,a2,a7)),f5(a8,f3(a1,a2,a7),a8,a8))),
% 60.29/60.42     inference(scs_inference,[],[454,426,453,2,3])).
% 60.29/60.42  cnf(460,plain,
% 60.29/60.42     (E(f5(a8,f3(a1,a2,a7),a8,a8),f5(f3(a1,a2,a7),a8,a8,f3(a1,a2,a7)))),
% 60.29/60.42     inference(scs_inference,[],[457,2])).
% 60.29/60.42  cnf(461,plain,
% 60.29/60.42     (E(f5(a8,a8,f3(a1,a2,a7),a8),f5(a8,f3(a1,a2,a7),a8,a8))),
% 60.29/60.42     inference(scs_inference,[],[457,420,2,3])).
% 60.29/60.42  cnf(463,plain,
% 60.29/60.42     (E(f5(a8,f3(a1,a2,a7),a8,a8),f5(a8,a8,f3(a1,a2,a7),a8))),
% 60.29/60.42     inference(scs_inference,[],[461,2])).
% 60.29/60.42  cnf(464,plain,
% 60.29/60.42     (E(f5(a8,f3(a1,a2,a7),a8,a8),f5(f3(a1,a2,a7),f3(a1,a2,a7),f3(a1,a2,a7),a8))),
% 60.29/60.42     inference(scs_inference,[],[461,447,460,2,3])).
% 60.29/60.42  cnf(466,plain,
% 60.29/60.42     (E(f5(f3(a1,a2,a7),f3(a1,a2,a7),f3(a1,a2,a7),a8),f5(a8,f3(a1,a2,a7),a8,a8))),
% 60.29/60.42     inference(scs_inference,[],[464,2])).
% 60.29/60.42  cnf(467,plain,
% 60.29/60.42     (E(f5(a8,f3(a1,a2,a7),a8,a8),f5(a8,a8,a8,f3(a1,a2,a7)))),
% 60.29/60.42     inference(scs_inference,[],[464,454,2,3])).
% 60.29/60.42  cnf(469,plain,
% 60.29/60.42     (E(f5(a8,a8,a8,f3(a1,a2,a7)),f5(a8,f3(a1,a2,a7),a8,a8))),
% 60.29/60.42     inference(scs_inference,[],[467,2])).
% 60.29/60.42  cnf(470,plain,
% 60.29/60.42     (E(f5(a8,f3(a1,a2,a7),a8,a8),f5(f3(a1,a2,a7),a8,f3(a1,a2,a7),a8))),
% 60.29/60.42     inference(scs_inference,[],[450,467,2,3])).
% 60.29/60.42  cnf(472,plain,
% 60.29/60.42     (E(f5(f3(a1,a2,a7),a8,f3(a1,a2,a7),a8),f5(a8,f3(a1,a2,a7),a8,a8))),
% 60.29/60.42     inference(scs_inference,[],[470,2])).
% 60.29/60.42  cnf(476,plain,
% 60.29/60.42     (E(f5(f3(a1,a2,a7),f3(a1,a2,a7),f3(a1,a2,a7),f3(a1,a2,a7)),f5(a8,a8,a8,a8))),
% 60.29/60.42     inference(scs_inference,[],[303,2])).
% 60.29/60.42  cnf(477,plain,
% 60.29/60.42     (E(f3(a8,a8,a8),f3(a8,f3(a1,a2,a7),f3(a1,a2,a7)))),
% 60.29/60.42     inference(scs_inference,[],[302,303,220,2,3])).
% 60.29/60.42  cnf(480,plain,
% 60.29/60.42     (E(f3(a8,f3(a1,a2,a7),f3(a1,a2,a7)),f3(a8,a8,a8))),
% 60.29/60.42     inference(scs_inference,[],[477,2])).
% 60.29/60.42  cnf(481,plain,
% 60.29/60.42     (E(f3(a8,a8,a8),f3(f3(a1,a2,a7),f3(a1,a2,a7),f3(a1,a2,a7)))),
% 60.29/60.42     inference(scs_inference,[],[477,216,2,3])).
% 60.29/60.42  cnf(485,plain,
% 60.29/60.42     (E(f3(a8,f3(a1,a2,a7),f3(a1,a2,a7)),f3(f3(a1,a2,a7),a8,f3(a1,a2,a7)))),
% 60.29/60.42     inference(scs_inference,[],[481,480,302,2,3])).
% 60.29/60.42  cnf(487,plain,
% 60.29/60.42     (E(f3(x4871,a8,f3(a1,a2,a7)),f3(x4871,f3(a1,a2,a7),a8))),
% 60.29/60.42     inference(scs_inference,[],[225,2])).
% 60.29/60.42  cnf(488,plain,
% 60.29/60.42     (E(f4(f3(a1,a2,a7),a8,f3(a1,a2,a7)),f4(f3(a1,a2,a7),f3(a1,a2,a7),a8))),
% 60.29/60.42     inference(scs_inference,[],[377,225,235,2,3])).
% 60.29/60.42  cnf(491,plain,
% 60.29/60.42     (E(f4(f3(a1,a2,a7),f3(a1,a2,a7),a8),f4(f3(a1,a2,a7),a8,f3(a1,a2,a7)))),
% 60.29/60.42     inference(scs_inference,[],[488,2])).
% 60.29/60.42  cnf(492,plain,
% 60.29/60.42     (E(f3(a8,f3(a1,a2,a7),f3(a1,a2,a7)),f3(f3(a1,a2,a7),f3(a1,a2,a7),a8))),
% 60.29/60.42     inference(scs_inference,[],[485,488,487,2,3])).
% 60.29/60.42  cnf(496,plain,
% 60.29/60.42     (E(f3(a8,a8,a8),f3(f3(a1,a2,a7),f3(a1,a2,a7),a8))),
% 60.29/60.42     inference(scs_inference,[],[492,477,2,3])).
% 60.29/60.42  cnf(499,plain,
% 60.29/60.42     (E(f4(f3(a1,a2,a7),f3(a1,a2,a7),a8),f4(a8,a8,a8))),
% 60.29/60.42     inference(scs_inference,[],[496,491,377,2,3])).
% 60.29/60.42  cnf(500,plain,
% 60.29/60.42     (E(f6(a8,a8,x5001),f6(f3(a1,a2,a7),f3(a1,a2,a7),x5001))),
% 60.29/60.42     inference(scs_inference,[],[259,2])).
% 60.29/60.42  cnf(501,plain,
% 60.29/60.42     (E(f14(f3(a1,a2,a7),a8,f3(a1,a2,a7)),f14(f3(a1,a2,a7),f3(a1,a2,a7),a8))),
% 60.29/60.42     inference(scs_inference,[],[384,259,294,2,3])).
% 60.29/60.42  cnf(504,plain,
% 60.29/60.42     (E(f14(f3(a1,a2,a7),f3(a1,a2,a7),a8),f14(f3(a1,a2,a7),a8,f3(a1,a2,a7)))),
% 60.29/60.42     inference(scs_inference,[],[501,2])).
% 60.29/60.42  cnf(505,plain,
% 60.29/60.42     (E(f6(a8,a8,a8),f6(f3(a1,a2,a7),a8,f3(a1,a2,a7)))),
% 60.29/60.42     inference(scs_inference,[],[400,501,500,2,3])).
% 60.29/60.42  cnf(508,plain,
% 60.29/60.42     (E(f6(f3(a1,a2,a7),a8,f3(a1,a2,a7)),f6(a8,a8,a8))),
% 60.29/60.42     inference(scs_inference,[],[505,2])).
% 60.29/60.42  cnf(512,plain,
% 60.29/60.42     (E(f5(f3(a1,a2,a7),a8,f3(a1,a2,a7),a8),f5(a8,f3(a1,a2,a7),a8,f3(a1,a2,a7)))),
% 60.29/60.42     inference(scs_inference,[],[472,264,282,2,3])).
% 60.29/60.42  cnf(515,plain,
% 60.29/60.42     (E(f5(a8,f3(a1,a2,a7),a8,f3(a1,a2,a7)),f5(f3(a1,a2,a7),a8,f3(a1,a2,a7),a8))),
% 60.29/60.42     inference(scs_inference,[],[512,2])).
% 60.29/60.42  cnf(516,plain,
% 60.29/60.42     (E(f4(f3(a1,a2,a7),a8,a8),f4(a8,a8,f3(a1,a2,a7)))),
% 60.29/60.42     inference(scs_inference,[],[512,385,234,2,3])).
% 60.29/60.42  cnf(519,plain,
% 60.29/60.42     (E(f5(a8,f3(a1,a2,a7),a8,f3(a1,a2,a7)),f5(a8,f3(a1,a2,a7),f3(a1,a2,a7),a8))),
% 60.29/60.42     inference(scs_inference,[],[516,515,438,2,3])).
% 60.29/60.42  cnf(522,plain,
% 60.29/60.42     (E(f5(a8,f3(a1,a2,a7),f3(a1,a2,a7),a8),f5(a8,f3(a1,a2,a7),a8,f3(a1,a2,a7)))),
% 60.29/60.42     inference(scs_inference,[],[519,2])).
% 60.29/60.42  cnf(523,plain,
% 60.29/60.42     (E(f14(f3(a1,a2,a7),a8,a8),f14(a8,a8,f3(a1,a2,a7)))),
% 60.29/60.42     inference(scs_inference,[],[519,401,293,2,3])).
% 60.29/60.42  cnf(528,plain,
% 60.29/60.42     (E(f5(f3(a1,a2,a7),a8,a8,f3(a1,a2,a7)),f5(a8,f3(a1,a2,a7),a8,f3(a1,a2,a7)))),
% 60.29/60.42     inference(scs_inference,[],[432,523,522,2,3])).
% 60.29/60.42  cnf(531,plain,
% 60.29/60.42     (E(f5(a8,f3(a1,a2,a7),a8,f3(a1,a2,a7)),f5(f3(a1,a2,a7),a8,a8,f3(a1,a2,a7)))),
% 60.29/60.42     inference(scs_inference,[],[528,2])).
% 60.29/60.42  cnf(532,plain,
% 60.29/60.42     (E(f4(a8,f3(a1,a2,a7),f3(a1,a2,a7)),f4(f3(a1,a2,a7),f3(a1,a2,a7),a8))),
% 60.29/60.42     inference(scs_inference,[],[389,528,233,2,3])).
% 60.29/60.42  cnf(536,plain,
% 60.29/60.42     (E(f5(a8,f3(a1,a2,a7),a8,f3(a1,a2,a7)),f5(a8,a8,a8,a8))),
% 60.29/60.42     inference(scs_inference,[],[444,532,531,2,3])).
% 60.29/60.42  cnf(538,plain,
% 60.29/60.42     (E(f5(a8,a8,a8,a8),f5(a8,f3(a1,a2,a7),a8,f3(a1,a2,a7)))),
% 60.29/60.42     inference(scs_inference,[],[536,2])).
% 60.29/60.42  cnf(539,plain,
% 60.29/60.42     (E(f4(a8,f3(a1,a2,a7),f3(a1,a2,a7)),f4(f3(a1,a2,a7),a8,f3(a1,a2,a7)))),
% 60.29/60.42     inference(scs_inference,[],[536,491,532,2,3])).
% 60.29/60.42  cnf(541,plain,
% 60.29/60.42     (E(f4(f3(a1,a2,a7),a8,f3(a1,a2,a7)),f4(a8,f3(a1,a2,a7),f3(a1,a2,a7)))),
% 60.29/60.42     inference(scs_inference,[],[539,2])).
% 60.29/60.42  cnf(542,plain,
% 60.29/60.42     (E(f5(f3(a1,a2,a7),f3(a1,a2,a7),f3(a1,a2,a7),f3(a1,a2,a7)),f5(a8,f3(a1,a2,a7),a8,f3(a1,a2,a7)))),
% 60.29/60.42     inference(scs_inference,[],[539,476,538,2,3])).
% 60.29/60.42  cnf(544,plain,
% 60.29/60.42     (E(f5(a8,f3(a1,a2,a7),a8,f3(a1,a2,a7)),f5(f3(a1,a2,a7),f3(a1,a2,a7),f3(a1,a2,a7),f3(a1,a2,a7)))),
% 60.29/60.42     inference(scs_inference,[],[542,2])).
% 60.29/60.42  cnf(545,plain,
% 60.29/60.42     (E(f5(f3(a1,a2,a7),f3(a1,a2,a7),f3(a1,a2,a7),f3(a1,a2,a7)),f5(a8,f3(a1,a2,a7),f3(a1,a2,a7),a8))),
% 60.29/60.42     inference(scs_inference,[],[542,519,2,3])).
% 60.29/60.42  cnf(547,plain,
% 60.29/60.42     (E(f5(a8,f3(a1,a2,a7),f3(a1,a2,a7),a8),f5(f3(a1,a2,a7),f3(a1,a2,a7),f3(a1,a2,a7),f3(a1,a2,a7)))),
% 60.29/60.42     inference(scs_inference,[],[545,2])).
% 60.29/60.42  cnf(548,plain,
% 60.29/60.42     (E(f5(f3(a1,a2,a7),f3(a1,a2,a7),f3(a1,a2,a7),f3(a1,a2,a7)),f5(a8,a8,a8,f3(a1,a2,a7)))),
% 60.29/60.42     inference(scs_inference,[],[545,441,2,3])).
% 60.29/60.42  cnf(550,plain,
% 60.29/60.42     (E(f5(a8,a8,a8,f3(a1,a2,a7)),f5(f3(a1,a2,a7),f3(a1,a2,a7),f3(a1,a2,a7),f3(a1,a2,a7)))),
% 60.29/60.42     inference(scs_inference,[],[548,2])).
% 60.29/60.42  cnf(551,plain,
% 60.29/60.42     (E(f5(f3(a1,a2,a7),f3(a1,a2,a7),f3(a1,a2,a7),f3(a1,a2,a7)),f5(a8,f3(a1,a2,a7),a8,a8))),
% 60.29/60.42     inference(scs_inference,[],[469,548,2,3])).
% 60.29/60.42  cnf(553,plain,
% 60.29/60.42     (E(f5(a8,f3(a1,a2,a7),a8,a8),f5(f3(a1,a2,a7),f3(a1,a2,a7),f3(a1,a2,a7),f3(a1,a2,a7)))),
% 60.29/60.42     inference(scs_inference,[],[551,2])).
% 60.29/60.42  cnf(554,plain,
% 60.29/60.42     (E(f5(f3(a1,a2,a7),f3(a1,a2,a7),f3(a1,a2,a7),f3(a1,a2,a7)),f5(a8,a8,f3(a1,a2,a7),a8))),
% 60.29/60.42     inference(scs_inference,[],[463,551,2,3])).
% 60.29/60.42  cnf(555,plain,
% 60.29/60.42     (E(f5(a8,a8,f3(a1,a2,a7),a8),f5(f3(a1,a2,a7),f3(a1,a2,a7),f3(a1,a2,a7),f3(a1,a2,a7)))),
% 60.29/60.42     inference(scs_inference,[],[554,2])).
% 60.29/60.42  cnf(556,plain,
% 60.29/60.42     (E(f5(f3(a1,a2,a7),a8,f3(a1,a2,a7),a8),f5(f3(a1,a2,a7),f3(a1,a2,a7),f3(a1,a2,a7),f3(a1,a2,a7)))),
% 60.29/60.42     inference(scs_inference,[],[554,550,448,2,3])).
% 60.29/60.42  cnf(558,plain,
% 60.29/60.42     (E(f5(f3(a1,a2,a7),f3(a1,a2,a7),f3(a1,a2,a7),f3(a1,a2,a7)),f5(f3(a1,a2,a7),a8,f3(a1,a2,a7),a8))),
% 60.29/60.42     inference(scs_inference,[],[556,2])).
% 60.29/60.42  cnf(559,plain,
% 60.29/60.42     (E(f4(f3(a1,a2,a7),a8,f3(a1,a2,a7)),f4(a8,f3(a1,a2,a7),a8))),
% 60.29/60.42     inference(scs_inference,[],[541,556,238,2,3])).
% 60.29/60.42  cnf(563,plain,
% 60.29/60.42     (E(f5(a8,f3(a1,a2,a7),a8,a8),f5(f3(a1,a2,a7),a8,a8,a8))),
% 60.29/60.42     inference(scs_inference,[],[553,559,289,2,3])).
% 60.29/60.42  cnf(565,plain,
% 60.29/60.42     (E(f5(f3(a1,a2,a7),a8,a8,a8),f5(a8,f3(a1,a2,a7),a8,a8))),
% 60.29/60.42     inference(scs_inference,[],[563,2])).
% 60.29/60.42  cnf(566,plain,
% 60.29/60.42     (E(f6(f3(a1,a2,a7),a8,f3(a1,a2,a7)),f6(a8,f3(a1,a2,a7),a8))),
% 60.29/60.42     inference(scs_inference,[],[563,508,258,2,3])).
% 60.29/60.42  cnf(570,plain,
% 60.29/60.42     (E(f5(f3(a1,a2,a7),a8,a8,a8),f5(a8,a8,f3(a1,a2,a7),a8))),
% 60.29/60.42     inference(scs_inference,[],[565,566,463,2,3])).
% 60.29/60.42  cnf(572,plain,
% 60.29/60.42     (E(f5(a8,a8,f3(a1,a2,a7),a8),f5(f3(a1,a2,a7),a8,a8,a8))),
% 60.29/60.42     inference(scs_inference,[],[570,2])).
% 60.29/60.42  cnf(573,plain,
% 60.29/60.42     (E(f5(f3(a1,a2,a7),a8,a8,a8),f5(f3(a1,a2,a7),f3(a1,a2,a7),f3(a1,a2,a7),f3(a1,a2,a7)))),
% 60.29/60.42     inference(scs_inference,[],[570,555,2,3])).
% 60.29/60.42  cnf(576,plain,
% 60.29/60.42     (E(f5(f3(a1,a2,a7),a8,a8,a8),f5(a8,f3(a1,a2,a7),f3(a1,a2,a7),a8))),
% 60.29/60.42     inference(scs_inference,[],[573,545,243,2,3])).
% 60.29/60.42  cnf(578,plain,
% 60.29/60.42     (E(f5(a8,f3(a1,a2,a7),f3(a1,a2,a7),a8),f5(f3(a1,a2,a7),a8,a8,a8))),
% 60.29/60.42     inference(scs_inference,[],[576,2])).
% 60.29/60.42  cnf(579,plain,
% 60.29/60.42     (E(f5(f3(a1,a2,a7),a8,a8,a8),f5(a8,f3(a1,a2,a7),a8,f3(a1,a2,a7)))),
% 60.29/60.42     inference(scs_inference,[],[576,522,2,3])).
% 60.29/60.42  cnf(581,plain,
% 60.29/60.42     (E(f5(a8,f3(a1,a2,a7),a8,f3(a1,a2,a7)),f5(f3(a1,a2,a7),a8,a8,a8))),
% 60.29/60.42     inference(scs_inference,[],[579,2])).
% 60.29/60.42  cnf(582,plain,
% 60.29/60.42     (E(f5(a8,a8,a8,f3(a1,a2,a7)),f5(f3(a1,a2,a7),a8,a8,a8))),
% 60.29/60.42     inference(scs_inference,[],[578,579,439,2,3])).
% 60.29/60.42  cnf(584,plain,
% 60.29/60.42     (E(f5(f3(a1,a2,a7),a8,a8,a8),f5(a8,a8,a8,f3(a1,a2,a7)))),
% 60.29/60.42     inference(scs_inference,[],[582,2])).
% 60.29/60.42  cnf(585,plain,
% 60.29/60.42     (E(f5(a8,a8,f3(a1,a2,a7),a8),f5(a8,f3(a1,a2,a7),a8,f3(a1,a2,a7)))),
% 60.29/60.42     inference(scs_inference,[],[572,582,579,2,3])).
% 60.29/60.42  cnf(588,plain,
% 60.29/60.42     (E(f5(f3(a1,a2,a7),f3(a1,a2,a7),a8,a8),f5(a8,f3(a1,a2,a7),a8,f3(a1,a2,a7)))),
% 60.29/60.42     inference(scs_inference,[],[585,367,2,3])).
% 60.29/60.42  cnf(590,plain,
% 60.29/60.42     (E(f5(a8,f3(a1,a2,a7),a8,f3(a1,a2,a7)),f5(f3(a1,a2,a7),f3(a1,a2,a7),a8,a8))),
% 60.29/60.42     inference(scs_inference,[],[588,2])).
% 60.29/60.42  cnf(591,plain,
% 60.29/60.42     (E(f5(a8,f3(a1,a2,a7),a8,f3(a1,a2,a7)),f5(f3(a1,a2,a7),f3(a1,a2,a7),f3(a1,a2,a7),a8))),
% 60.29/60.42     inference(scs_inference,[],[588,581,409,2,3])).
% 60.29/60.42  cnf(593,plain,
% 60.29/60.42     (E(f5(f3(a1,a2,a7),f3(a1,a2,a7),f3(a1,a2,a7),a8),f5(a8,f3(a1,a2,a7),a8,f3(a1,a2,a7)))),
% 60.29/60.42     inference(scs_inference,[],[591,2])).
% 60.29/60.42  cnf(594,plain,
% 60.29/60.42     (E(f4(f3(a1,a2,a7),f3(a1,a2,a7),a8),f4(a8,a8,f3(a1,a2,a7)))),
% 60.29/60.42     inference(scs_inference,[],[499,591,239,2,3])).
% 60.29/60.42  cnf(598,plain,
% 60.29/60.42     (E(f5(a8,f3(a1,a2,a7),a8,f3(a1,a2,a7)),f5(f3(a1,a2,a7),a8,f3(a1,a2,a7),f3(a1,a2,a7)))),
% 60.29/60.42     inference(scs_inference,[],[544,594,273,2,3])).
% 60.29/60.42  cnf(601,plain,
% 60.29/60.42     (E(f5(f3(a1,a2,a7),a8,f3(a1,a2,a7),f3(a1,a2,a7)),f5(a8,f3(a1,a2,a7),a8,f3(a1,a2,a7)))),
% 60.29/60.42     inference(scs_inference,[],[598,2])).
% 60.29/60.42  cnf(602,plain,
% 60.29/60.42     (E(f5(f3(a1,a2,a7),f3(a1,a2,a7),f3(a1,a2,a7),a8),f5(f3(a1,a2,a7),a8,f3(a1,a2,a7),f3(a1,a2,a7)))),
% 60.29/60.42     inference(scs_inference,[],[593,598,2,3])).
% 60.29/60.42  cnf(605,plain,
% 60.29/60.42     (E(f5(f3(a1,a2,a7),a8,f3(a1,a2,a7),f3(a1,a2,a7)),f5(f3(a1,a2,a7),f3(a1,a2,a7),a8,a8))),
% 60.29/60.42     inference(scs_inference,[],[590,602,601,2,3])).
% 60.29/60.42  cnf(608,plain,
% 60.29/60.42     (E(f5(f3(a1,a2,a7),a8,f3(a1,a2,a7),f3(a1,a2,a7)),f5(a8,a8,a8,f3(a1,a2,a7)))),
% 60.29/60.42     inference(scs_inference,[],[605,421,2,3])).
% 60.29/60.42  cnf(611,plain,
% 60.29/60.42     (E(f5(f3(a1,a2,a7),a8,f3(a1,a2,a7),f3(a1,a2,a7)),f5(a8,f3(a1,a2,a7),a8,a8))),
% 60.29/60.42     inference(scs_inference,[],[608,469,2,3])).
% 60.29/60.42  cnf(614,plain,
% 60.29/60.42     (E(f5(f3(a1,a2,a7),a8,f3(a1,a2,a7),f3(a1,a2,a7)),f5(a8,a8,f3(a1,a2,a7),a8))),
% 60.29/60.42     inference(scs_inference,[],[611,463,2,3])).
% 60.29/60.42  cnf(617,plain,
% 60.29/60.42     (E(f3(a8,a8,f3(a1,a2,a7)),f3(f3(a1,a2,a7),a8,a8))),
% 60.29/60.42     inference(scs_inference,[],[313,614,219,2,3])).
% 60.29/60.42  cnf(619,plain,
% 60.29/60.42     (E(f3(f3(a1,a2,a7),a8,a8),f3(a8,a8,f3(a1,a2,a7)))),
% 60.29/60.42     inference(scs_inference,[],[617,2])).
% 60.29/60.42  cnf(620,plain,
% 60.29/60.42     (E(f3(f3(a1,a2,a7),f3(a1,a2,a7),f3(a1,a2,a7)),f3(f3(a1,a2,a7),a8,a8))),
% 60.29/60.42     inference(scs_inference,[],[617,314,2,3])).
% 60.29/60.42  cnf(623,plain,
% 60.29/60.42     (E(f3(f3(a1,a2,a7),a8,a8),f3(a8,f3(a1,a2,a7),f3(a1,a2,a7)))),
% 60.29/60.42     inference(scs_inference,[],[619,620,218,2,3])).
% 60.29/60.42  cnf(627,plain,
% 60.29/60.42     (E(f14(a8,f3(a1,a2,a7),f3(a1,a2,a7)),f14(f3(a1,a2,a7),f3(a1,a2,a7),a8))),
% 60.29/60.42     inference(scs_inference,[],[405,623,292,2,3])).
% 60.29/60.42  cnf(631,plain,
% 60.29/60.42     (E(f14(a8,f3(a1,a2,a7),f3(a1,a2,a7)),f14(f3(a1,a2,a7),a8,f3(a1,a2,a7)))),
% 60.29/60.42     inference(scs_inference,[],[627,504,2,3])).
% 60.29/60.42  cnf(634,plain,
% 60.29/60.42     (E(f5(f3(a1,a2,a7),a8,a8,a8),f5(a8,f3(a1,a2,a7),f3(a1,a2,a7),f3(a1,a2,a7)))),
% 60.29/60.42     inference(scs_inference,[],[631,584,409,2,3])).
% 60.29/60.42  cnf(637,plain,
% 60.29/60.42     (E(f5(a8,f3(a1,a2,a7),f3(a1,a2,a7),f3(a1,a2,a7)),f5(f3(a1,a2,a7),a8,a8,a8))),
% 60.29/60.42     inference(scs_inference,[],[634,2])).
% 60.29/60.42  cnf(638,plain,
% 60.29/60.42     (E(f5(f3(a1,a2,a7),a8,a8,a8),f5(a8,a8,f3(a1,a2,a7),f3(a1,a2,a7)))),
% 60.29/60.42     inference(scs_inference,[],[634,273,2,3])).
% 60.29/60.42  cnf(641,plain,
% 60.29/60.42     (E(f5(a8,a8,f3(a1,a2,a7),f3(a1,a2,a7)),f5(f3(a1,a2,a7),a8,a8,a8))),
% 60.29/60.42     inference(scs_inference,[],[638,2])).
% 60.29/60.42  cnf(642,plain,
% 60.29/60.42     (E(f5(a8,f3(a1,a2,a7),f3(a1,a2,a7),f3(a1,a2,a7)),f5(f3(a1,a2,a7),a8,f3(a1,a2,a7),f3(a1,a2,a7)))),
% 60.29/60.42     inference(scs_inference,[],[637,638,284,2,3])).
% 60.29/60.42  cnf(646,plain,
% 60.29/60.42     (E(f5(a8,a8,f3(a1,a2,a7),f3(a1,a2,a7)),f5(a8,f3(a1,a2,a7),a8,a8))),
% 60.29/60.42     inference(scs_inference,[],[642,641,565,2,3])).
% 60.29/60.42  cnf(648,plain,
% 60.29/60.42     (E(f5(a8,f3(a1,a2,a7),a8,a8),f5(a8,a8,f3(a1,a2,a7),f3(a1,a2,a7)))),
% 60.29/60.42     inference(scs_inference,[],[646,2])).
% 60.29/60.42  cnf(649,plain,
% 60.29/60.42     (E(f5(a8,a8,f3(a1,a2,a7),f3(a1,a2,a7)),f5(f3(a1,a2,a7),a8,f3(a1,a2,a7),a8))),
% 60.29/60.42     inference(scs_inference,[],[646,470,2,3])).
% 60.29/60.42  cnf(650,plain,
% 60.29/60.42     (E(f5(f3(a1,a2,a7),a8,f3(a1,a2,a7),a8),f5(a8,a8,f3(a1,a2,a7),f3(a1,a2,a7)))),
% 60.29/60.42     inference(scs_inference,[],[649,2])).
% 60.29/60.42  cnf(651,plain,
% 60.29/60.42     (E(f5(f3(a1,a2,a7),f3(a1,a2,a7),f3(a1,a2,a7),a8),f5(a8,a8,f3(a1,a2,a7),f3(a1,a2,a7)))),
% 60.29/60.42     inference(scs_inference,[],[649,648,466,2,3])).
% 60.29/60.42  cnf(652,plain,
% 60.29/60.42     (~E(a13,x6521)+P2(f14(x6521,a11,a12),a11,a2)+P2(f5(f6(a11,a1,a2),x6521,a2,a2),a12,f10(a2,a2))),
% 60.29/60.42     inference(scs_inference,[],[31,87,36])).
% 60.29/60.42  cnf(653,plain,
% 60.29/60.42     (P2(f5(f6(a11,a1,a2),a13,a2,a2),a12,f10(a2,a2))+P2(f14(a13,a11,a12),a11,a2)),
% 60.29/60.42     inference(equality_inference,[],[652])).
% 60.29/60.42  cnf(655,plain,
% 60.29/60.42     (E(f5(f3(a1,a2,a7),f3(a1,a2,a7),f3(a1,a2,a7),f3(a1,a2,a7)),f5(a8,a8,f3(a1,a2,a7),f3(a1,a2,a7)))),
% 60.29/60.42     inference(scs_inference,[],[651,650,558,2,3])).
% 60.29/60.42  cnf(656,plain,
% 60.29/60.42     (P2(f14(a13,a11,a12),a11,a2)),
% 60.29/60.42     inference(scs_inference,[],[103,49,653,27])).
% 60.29/60.42  cnf(661,plain,
% 60.29/60.42     (E(f5(f3(a1,a2,a7),f3(a1,a2,a7),x6611,x6612),f5(a8,a8,x6611,x6612))),
% 60.29/60.42     inference(scs_inference,[],[656,274,43,50,2])).
% 60.29/60.42  cnf(662,plain,
% 60.29/60.42     (E(f5(a8,f3(a1,a2,a7),f3(a1,a2,a7),a8),f5(a8,a8,f3(a1,a2,a7),f3(a1,a2,a7)))),
% 60.29/60.42     inference(scs_inference,[],[656,655,547,274,43,50,2,3])).
% 60.29/60.42  cnf(666,plain,
% 60.29/60.42     (P2(f5(f14(a13,a11,a12),a13,a2,a2),a12,f10(a2,a2))+P2(a13,a11,a2)),
% 60.29/60.42     inference(scs_inference,[],[103,656,30,655,547,274,43,50,2,3,34,26,27])).
% 60.29/60.42  cnf(667,plain,
% 60.29/60.42     (~E(f14(a13,a11,a12),f6(a11,a1,a2))+P2(a13,a11,a2)),
% 60.29/60.42     inference(scs_inference,[],[103,656,30,655,547,274,43,50,2,3,34,26,27,16])).
% 60.29/60.42  cnf(670,plain,
% 60.29/60.42     (~E(f14(a13,a11,a12),f6(a11,a1,a2))+P2(f5(a13,f6(a11,a1,a2),a2,a2),a12,f10(a2,a2))),
% 60.29/60.42     inference(scs_inference,[],[31,667,35])).
% 60.29/60.42  cnf(671,plain,
% 60.29/60.42     (E(f5(a8,a8,f3(a1,a2,a7),f3(a1,a2,a7)),f5(a8,f3(a1,a2,a7),f3(a1,a2,a7),a8))),
% 60.29/60.42     inference(scs_inference,[],[662,2])).
% 60.29/60.42  cnf(672,plain,
% 60.29/60.42     (E(f5(f3(a1,a2,a7),f3(a1,a2,a7),a8,f3(a1,a2,a7)),f5(f3(a1,a2,a7),f3(a1,a2,a7),f3(a1,a2,a7),a8))),
% 60.29/60.42     inference(scs_inference,[],[456,662,661,2,3])).
% 60.29/60.42  cnf(680,plain,
% 60.29/60.42     (P2(x6801,a11,a2)+~E(f14(a13,a11,a12),x6801)),
% 60.29/60.42     inference(scs_inference,[],[656,671,672,412,2,3,26])).
% 60.29/60.42  cnf(746,plain,
% 60.29/60.42     (P2(f5(f14(a13,a11,a12),a13,a2,a2),a12,f10(a2,a2))+P2(f5(a13,f6(a11,a1,a2),a2,a2),a12,f10(a2,a2))),
% 60.29/60.42     inference(scs_inference,[],[31,666,35])).
% 60.29/60.42  cnf(766,plain,
% 60.29/60.42     (P2(f5(a13,f6(a11,a1,a2),a2,a2),f4(a1,a2,a7),f10(a2,a2))+~E(f14(a13,a11,a12),f6(a11,a1,a2))),
% 60.29/60.42     inference(scs_inference,[],[49,670,27])).
% 60.29/60.42  cnf(768,plain,
% 60.29/60.42     (~P2(f6(a11,a1,a2),a11,a2)+~E(f14(a13,a11,a12),f6(a11,a1,a2))),
% 60.29/60.42     inference(scs_inference,[],[766,213])).
% 60.29/60.42  cnf(769,plain,
% 60.29/60.42     (~E(f14(a13,a11,a12),f6(a11,a1,a2))),
% 60.29/60.42     inference(scs_inference,[],[768,680])).
% 60.29/60.42  cnf(784,plain,
% 60.29/60.42     (P2(f5(a13,f6(a11,a1,a2),a2,a2),f4(a1,a2,a7),f10(a2,a2))+P2(f5(f14(a13,a11,a12),a13,a2,a2),a12,f10(a2,a2))),
% 60.29/60.42     inference(scs_inference,[],[49,746,27])).
% 60.29/60.42  cnf(1390,plain,
% 60.29/60.42     (E(f3(f4(a1,a2,a7),x13901,x13902),f3(a12,x13901,x13902))),
% 60.29/60.42     inference(scs_inference,[],[30,10,11,12,4])).
% 60.29/60.42  cnf(1391,plain,
% 60.29/60.42     (E(f3(x13911,f4(a1,a2,a7),x13912),f3(x13911,a12,x13912))),
% 60.29/60.42     inference(scs_inference,[],[30,10,11,12,4,5])).
% 60.29/60.42  cnf(1404,plain,
% 60.29/60.42     (E(f5(x14041,x14042,x14043,f4(a1,a2,a7)),f5(x14041,x14042,x14043,a12))),
% 60.29/60.42     inference(scs_inference,[],[30,10,11,12,4,5,6,7,8,9,13,14,15,20,21,22,17,18,19])).
% 60.29/60.42  cnf(1405,plain,
% 60.29/60.42     (E(f5(f4(a1,a2,a7),x14051,x14052,x14053),f5(a12,x14051,x14052,x14053))),
% 60.29/60.42     inference(scs_inference,[],[30,10,11,12,4,5,6,7,8,9,13,14,15,20,21,22,17,18,19,16])).
% 60.29/60.42  cnf(1409,plain,
% 60.29/60.42     (~P2(f5(f6(a11,a1,a2),a13,a2,a2),a12,f10(a2,a2))),
% 60.29/60.42     inference(scs_inference,[],[769,103,656,31,30,49,10,11,12,4,5,6,7,8,9,13,14,15,20,21,22,17,18,19,16,2,35,27])).
% 60.29/60.42  cnf(1414,plain,
% 60.29/60.42     (P2(f5(f14(a13,a11,a12),a13,a2,a2),f4(a1,a2,a7),f10(a2,a2))+~P2(f5(a13,f6(a11,a1,a2),a2,a2),f4(a1,a2,a7),f10(a2,a2))),
% 60.29/60.42     inference(scs_inference,[],[769,248,103,656,31,30,49,10,11,12,4,5,6,7,8,9,13,14,15,20,21,22,17,18,19,16,2,35,27,3,33,38])).
% 60.29/60.42  cnf(1454,plain,
% 60.29/60.42     (~P2(f5(f14(a13,a11,a12),a13,a2,a2),a12,f10(a2,a2))),
% 60.29/60.42     inference(scs_inference,[],[1404,1405,1409,81,31,3,39])).
% 60.29/60.42  cnf(1463,plain,
% 60.29/60.42     (P2(f5(a13,f6(a11,a1,a2),a2,a2),f4(a1,a2,a7),f10(a2,a2))),
% 60.29/60.42     inference(scs_inference,[],[1454,784])).
% 60.29/60.42  cnf(1470,plain,
% 60.29/60.42     (~P2(f5(a13,f6(a11,a1,a2),a2,a2),f4(a1,a2,a7),f10(a2,a2))),
% 60.29/60.42     inference(scs_inference,[],[1390,1391,1454,30,27,3,1414])).
% 60.29/60.42  cnf(1475,plain,
% 60.29/60.42     ($false),
% 60.29/60.42     inference(scs_inference,[],[1463,1470]),
% 60.29/60.42     ['proof']).
% 60.29/60.42  % SZS output end Proof
% 60.29/60.42  % Total time :59.710000s
%------------------------------------------------------------------------------