TSTP Solution File: SET854-2 by CSE---1.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE---1.6
% Problem  : SET854-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d

% Computer : n024.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 14:31:25 EDT 2023

% Result   : Unsatisfiable 241.91s 241.96s
% Output   : CNFRefutation 241.91s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SET854-2 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.13  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.35  % Computer : n024.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Sat Aug 26 13:14:09 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.42/0.65  start to proof:theBenchmark
% 241.91/241.95  %-------------------------------------------
% 241.91/241.95  % File        :CSE---1.6
% 241.91/241.95  % Problem     :theBenchmark
% 241.91/241.95  % Transform   :cnf
% 241.91/241.95  % Format      :tptp:raw
% 241.91/241.95  % Command     :java -jar mcs_scs.jar %d %s
% 241.91/241.95  
% 241.91/241.95  % Result      :Theorem 241.230000s
% 241.91/241.95  % Output      :CNFRefutation 241.230000s
% 241.91/241.95  %-------------------------------------------
% 241.91/241.95  %------------------------------------------------------------------------------
% 241.91/241.95  % File     : SET854-2 : TPTP v8.1.2. Released v3.2.0.
% 241.91/241.95  % Domain   : Set Theory
% 241.91/241.95  % Problem  : Problem about Zorn's lemma
% 241.91/241.95  % Version  : [Pau06] axioms : Reduced > Especial.
% 241.91/241.95  % English  :
% 241.91/241.95  
% 241.91/241.95  % Refs     : [Pau06] Paulson (2006), Email to G. Sutcliffe
% 241.91/241.95  % Source   : [Pau06]
% 241.91/241.95  % Names    :
% 241.91/241.95  
% 241.91/241.95  % Status   : Unsatisfiable
% 241.91/241.95  % Rating   : 0.48 v8.1.0, 0.42 v7.5.0, 0.37 v7.4.0, 0.35 v7.3.0, 0.33 v7.2.0, 0.42 v7.1.0, 0.25 v7.0.0, 0.27 v6.2.0, 0.20 v6.1.0, 0.43 v6.0.0, 0.40 v5.5.0, 0.65 v5.4.0, 0.70 v5.3.0, 0.72 v5.2.0, 0.62 v5.1.0, 0.65 v5.0.0, 0.79 v4.1.0, 0.77 v4.0.1, 0.73 v3.7.0, 0.60 v3.5.0, 0.73 v3.4.0, 0.67 v3.3.0, 0.57 v3.2.0
% 241.91/241.95  % Syntax   : Number of clauses     :   18 (   6 unt;   9 nHn;  15 RR)
% 241.91/241.95  %            Number of literals    :   50 (   4 equ;  22 neg)
% 241.91/241.96  %            Maximal clause size   :    5 (   2 avg)
% 241.91/241.96  %            Maximal term depth    :    4 (   1 avg)
% 241.91/241.96  %            Number of predicates  :    3 (   2 usr;   0 prp; 2-3 aty)
% 241.91/241.96  %            Number of functors    :   11 (  11 usr;   4 con; 0-4 aty)
% 241.91/241.96  %            Number of variables   :   46 (   1 sgn)
% 241.91/241.96  % SPC      : CNF_UNS_RFO_SEQ_NHN
% 241.91/241.96  
% 241.91/241.96  % Comments : The problems in the [Pau06] collection each have very many axioms,
% 241.91/241.96  %            of which only a small selection are required for the refutation.
% 241.91/241.96  %            The mission is to find those few axioms, after which a refutation
% 241.91/241.96  %            can be quite easily found. This version has only the necessary
% 241.91/241.96  %            axioms.
% 241.91/241.96  %------------------------------------------------------------------------------
% 241.91/241.96  cnf(cls_Set_Osubset__antisym_0,axiom,
% 241.91/241.96      ( ~ c_lessequals(V_B,V_A,tc_set(T_a))
% 241.91/241.96      | ~ c_lessequals(V_A,V_B,tc_set(T_a))
% 241.91/241.96      | V_A = V_B ) ).
% 241.91/241.96  
% 241.91/241.96  cnf(cls_Set_OsubsetD_0,axiom,
% 241.91/241.96      ( ~ c_in(V_c,V_A,T_a)
% 241.91/241.96      | ~ c_lessequals(V_A,V_B,tc_set(T_a))
% 241.91/241.96      | c_in(V_c,V_B,T_a) ) ).
% 241.91/241.96  
% 241.91/241.96  cnf(cls_Set_OsubsetI_0,axiom,
% 241.91/241.96      ( c_in(c_Main_OsubsetI__1(V_A,V_B,T_a),V_A,T_a)
% 241.91/241.96      | c_lessequals(V_A,V_B,tc_set(T_a)) ) ).
% 241.91/241.96  
% 241.91/241.96  cnf(cls_Set_OsubsetI_1,axiom,
% 241.91/241.96      ( ~ c_in(c_Main_OsubsetI__1(V_A,V_B,T_a),V_B,T_a)
% 241.91/241.96      | c_lessequals(V_A,V_B,tc_set(T_a)) ) ).
% 241.91/241.96  
% 241.91/241.96  cnf(cls_Zorn_OAbrial__axiom1_0,axiom,
% 241.91/241.96      c_lessequals(V_x,c_Zorn_Osucc(V_S,V_x,T_a),tc_set(tc_set(T_a))) ).
% 241.91/241.96  
% 241.91/241.96  cnf(cls_Zorn_OTFin__linear__lemma1_0,axiom,
% 241.91/241.96      ( ~ c_in(V_m,c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(T_a)))
% 241.91/241.96      | ~ c_in(V_n,c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(T_a)))
% 241.91/241.96      | c_in(c_Zorn_OTFin__linear__lemma1__1(V_S,V_m,T_a),c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(T_a)))
% 241.91/241.96      | c_lessequals(V_n,V_m,tc_set(tc_set(T_a)))
% 241.91/241.96      | c_lessequals(c_Zorn_Osucc(V_S,V_m,T_a),V_n,tc_set(tc_set(T_a))) ) ).
% 241.91/241.96  
% 241.91/241.96  cnf(cls_Zorn_OTFin__linear__lemma1_1,axiom,
% 241.91/241.96      ( ~ c_in(V_m,c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(T_a)))
% 241.91/241.96      | ~ c_in(V_n,c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(T_a)))
% 241.91/241.96      | c_lessequals(V_n,V_m,tc_set(tc_set(T_a)))
% 241.91/241.96      | c_lessequals(c_Zorn_OTFin__linear__lemma1__1(V_S,V_m,T_a),V_m,tc_set(tc_set(T_a)))
% 241.91/241.96      | c_lessequals(c_Zorn_Osucc(V_S,V_m,T_a),V_n,tc_set(tc_set(T_a))) ) ).
% 241.91/241.96  
% 241.91/241.96  cnf(cls_Zorn_OTFin__linear__lemma1_2,axiom,
% 241.91/241.96      ( ~ c_in(V_m,c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(T_a)))
% 241.91/241.96      | ~ c_in(V_n,c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(T_a)))
% 241.91/241.96      | c_Zorn_OTFin__linear__lemma1__1(V_S,V_m,T_a) != V_m
% 241.91/241.96      | c_lessequals(V_n,V_m,tc_set(tc_set(T_a)))
% 241.91/241.96      | c_lessequals(c_Zorn_Osucc(V_S,V_m,T_a),V_n,tc_set(tc_set(T_a))) ) ).
% 241.91/241.96  
% 241.91/241.96  cnf(cls_Zorn_OTFin__linear__lemma1_3,axiom,
% 241.91/241.96      ( ~ c_in(V_m,c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(T_a)))
% 241.91/241.96      | ~ c_in(V_n,c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(T_a)))
% 241.91/241.96      | ~ c_lessequals(c_Zorn_Osucc(V_S,c_Zorn_OTFin__linear__lemma1__1(V_S,V_m,T_a),T_a),V_m,tc_set(tc_set(T_a)))
% 241.91/241.96      | c_lessequals(V_n,V_m,tc_set(tc_set(T_a)))
% 241.91/241.96      | c_lessequals(c_Zorn_Osucc(V_S,V_m,T_a),V_n,tc_set(tc_set(T_a))) ) ).
% 241.91/241.96  
% 241.91/241.96  cnf(cls_Zorn_OUnion__lemma0_0,axiom,
% 241.91/241.96      ( c_in(c_Zorn_OUnion__lemma0__1(V_A,V_B,V_C,T_a),V_C,tc_set(T_a))
% 241.91/241.96      | c_lessequals(V_B,c_Union(V_C,T_a),tc_set(T_a))
% 241.91/241.96      | c_lessequals(c_Union(V_C,T_a),V_A,tc_set(T_a)) ) ).
% 241.91/241.96  
% 241.91/241.96  cnf(cls_Zorn_OUnion__lemma0_1,axiom,
% 241.91/241.96      ( ~ c_lessequals(c_Zorn_OUnion__lemma0__1(V_A,V_B,V_C,T_a),V_A,tc_set(T_a))
% 241.91/241.96      | c_lessequals(V_B,c_Union(V_C,T_a),tc_set(T_a))
% 241.91/241.96      | c_lessequals(c_Union(V_C,T_a),V_A,tc_set(T_a)) ) ).
% 241.91/241.96  
% 241.91/241.96  cnf(cls_Zorn_OUnion__lemma0_2,axiom,
% 241.91/241.96      ( ~ c_lessequals(V_B,c_Zorn_OUnion__lemma0__1(V_A,V_B,V_C,T_a),tc_set(T_a))
% 241.91/241.96      | c_lessequals(V_B,c_Union(V_C,T_a),tc_set(T_a))
% 241.91/241.96      | c_lessequals(c_Union(V_C,T_a),V_A,tc_set(T_a)) ) ).
% 241.91/241.96  
% 241.91/241.96  cnf(cls_conjecture_0,negated_conjecture,
% 241.91/241.96      c_lessequals(v_Y,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(tc_set(t_a)))) ).
% 241.91/241.96  
% 241.91/241.96  cnf(cls_conjecture_1,negated_conjecture,
% 241.91/241.96      c_in(v_x,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ).
% 241.91/241.96  
% 241.91/241.96  cnf(cls_conjecture_2,negated_conjecture,
% 241.91/241.96      c_lessequals(v_x,c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a))) ).
% 241.91/241.96  
% 241.91/241.96  cnf(cls_conjecture_3,negated_conjecture,
% 241.91/241.96      v_x != c_Union(v_Y,tc_set(t_a)) ).
% 241.91/241.96  
% 241.91/241.96  cnf(cls_conjecture_4,negated_conjecture,
% 241.91/241.96      ~ c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a))) ).
% 241.91/241.96  
% 241.91/241.96  cnf(cls_conjecture_5,negated_conjecture,
% 241.91/241.96      ( c_lessequals(c_Zorn_Osucc(v_S,V_V,t_a),V_U,tc_set(tc_set(t_a)))
% 241.91/241.96      | V_V = V_U
% 241.91/241.96      | ~ c_lessequals(V_V,V_U,tc_set(tc_set(t_a)))
% 241.91/241.96      | ~ c_in(V_V,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
% 241.91/241.96      | ~ c_in(V_U,v_Y,tc_set(tc_set(t_a))) ) ).
% 241.91/241.96  
% 241.91/241.96  %------------------------------------------------------------------------------
% 241.91/241.96  %-------------------------------------------
% 241.91/241.96  % Proof found
% 241.91/241.96  % SZS status Theorem for theBenchmark
% 241.91/241.96  % SZS output start Proof
% 241.91/241.96  %ClaNum:45(EqnAxiom:27)
% 241.91/241.96  %VarNum:174(SingletonVarNum:46)
% 241.91/241.96  %MaxLitNum:5
% 241.91/241.96  %MaxfuncDepth:3
% 241.91/241.96  %SharedTerms:15
% 241.91/241.96  %goalClause: 28 29 30 32 33 38
% 241.91/241.96  %singleGoalClaCount:5
% 241.91/241.96  [28]P1(a1,f4(a2,a3),f10(f10(a3)))
% 241.91/241.96  [29]P2(a1,f5(a11,f10(a3)),f10(f10(a3)))
% 241.91/241.96  [32]~E(f5(a11,f10(a3)),a1)
% 241.91/241.96  [33]~P2(f7(a2,a1,a3),f5(a11,f10(a3)),f10(f10(a3)))
% 241.91/241.96  [30]P2(a11,f4(a2,a3),f10(f10(f10(a3))))
% 241.91/241.96  [31]P2(x311,f7(x312,x311,x313),f10(f10(x313)))
% 241.91/241.96  [35]P1(f6(x351,x352,x353),x351,x353)+P2(x351,x352,f10(x353))
% 241.91/241.96  [37]~P1(f6(x371,x372,x373),x372,x373)+P2(x371,x372,f10(x373))
% 241.91/241.96  [34]E(x341,x342)+~P2(x342,x341,f10(x343))+~P2(x341,x342,f10(x343))
% 241.91/241.96  [36]P1(x361,x362,x363)+~P1(x361,x364,x363)+~P2(x364,x362,f10(x363))
% 241.91/241.96  [40]P1(f9(x404,x401,x402,x403),x402,f10(x403))+P2(x401,f5(x402,x403),f10(x403))+P2(f5(x402,x403),x404,f10(x403))
% 241.91/241.96  [43]~P2(x431,f9(x434,x431,x432,x433),f10(x433))+P2(x431,f5(x432,x433),f10(x433))+P2(f5(x432,x433),x434,f10(x433))
% 241.91/241.96  [44]~P2(f9(x444,x441,x442,x443),x444,f10(x443))+P2(x441,f5(x442,x443),f10(x443))+P2(f5(x442,x443),x444,f10(x443))
% 241.91/241.96  [38]E(x381,x382)+~P2(x381,x382,f10(f10(a3)))+~P1(x381,f4(a2,a3),f10(f10(a3)))+P2(f7(a2,x381,a3),x382,f10(f10(a3)))+~P1(x382,a11,f10(f10(a3)))
% 241.91/241.96  [39]~E(f8(x394,x392,x393),x392)+~P1(x391,f4(x394,x393),f10(f10(x393)))+~P1(x392,f4(x394,x393),f10(f10(x393)))+P2(f7(x394,x392,x393),x391,f10(f10(x393)))+P2(x391,x392,f10(f10(x393)))
% 241.91/241.96  [41]P2(f8(x414,x412,x413),x412,f10(f10(x413)))+~P1(x411,f4(x414,x413),f10(f10(x413)))+~P1(x412,f4(x414,x413),f10(f10(x413)))+P2(f7(x414,x412,x413),x411,f10(f10(x413)))+P2(x411,x412,f10(f10(x413)))
% 241.91/241.96  [42]P1(f8(x424,x422,x423),f4(x424,x423),f10(f10(x423)))+~P1(x421,f4(x424,x423),f10(f10(x423)))+~P1(x422,f4(x424,x423),f10(f10(x423)))+P2(f7(x424,x422,x423),x421,f10(f10(x423)))+P2(x421,x422,f10(f10(x423)))
% 241.91/241.96  [45]~P2(f7(x454,f8(x454,x452,x453),x453),x452,f10(f10(x453)))+~P1(x451,f4(x454,x453),f10(f10(x453)))+~P1(x452,f4(x454,x453),f10(f10(x453)))+P2(f7(x454,x452,x453),x451,f10(f10(x453)))+P2(x451,x452,f10(f10(x453)))
% 241.91/241.96  %EqnAxiom
% 241.91/241.96  [1]E(x11,x11)
% 241.91/241.96  [2]E(x22,x21)+~E(x21,x22)
% 241.91/241.96  [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 241.91/241.96  [4]~E(x41,x42)+E(f4(x41,x43),f4(x42,x43))
% 241.91/241.96  [5]~E(x51,x52)+E(f4(x53,x51),f4(x53,x52))
% 241.91/241.96  [6]~E(x61,x62)+E(f10(x61),f10(x62))
% 241.91/241.96  [7]~E(x71,x72)+E(f7(x71,x73,x74),f7(x72,x73,x74))
% 241.91/241.96  [8]~E(x81,x82)+E(f7(x83,x81,x84),f7(x83,x82,x84))
% 241.91/241.96  [9]~E(x91,x92)+E(f7(x93,x94,x91),f7(x93,x94,x92))
% 241.91/241.96  [10]~E(x101,x102)+E(f9(x101,x103,x104,x105),f9(x102,x103,x104,x105))
% 241.91/241.96  [11]~E(x111,x112)+E(f9(x113,x111,x114,x115),f9(x113,x112,x114,x115))
% 241.91/241.96  [12]~E(x121,x122)+E(f9(x123,x124,x121,x125),f9(x123,x124,x122,x125))
% 241.91/241.96  [13]~E(x131,x132)+E(f9(x133,x134,x135,x131),f9(x133,x134,x135,x132))
% 241.91/241.96  [14]~E(x141,x142)+E(f5(x141,x143),f5(x142,x143))
% 241.91/241.96  [15]~E(x151,x152)+E(f5(x153,x151),f5(x153,x152))
% 241.91/241.96  [16]~E(x161,x162)+E(f8(x161,x163,x164),f8(x162,x163,x164))
% 241.91/241.96  [17]~E(x171,x172)+E(f8(x173,x171,x174),f8(x173,x172,x174))
% 241.91/241.96  [18]~E(x181,x182)+E(f8(x183,x184,x181),f8(x183,x184,x182))
% 241.91/241.96  [19]~E(x191,x192)+E(f6(x191,x193,x194),f6(x192,x193,x194))
% 241.91/241.96  [20]~E(x201,x202)+E(f6(x203,x201,x204),f6(x203,x202,x204))
% 241.91/241.96  [21]~E(x211,x212)+E(f6(x213,x214,x211),f6(x213,x214,x212))
% 241.91/241.96  [22]P1(x222,x223,x224)+~E(x221,x222)+~P1(x221,x223,x224)
% 241.91/241.96  [23]P1(x233,x232,x234)+~E(x231,x232)+~P1(x233,x231,x234)
% 241.91/241.96  [24]P1(x243,x244,x242)+~E(x241,x242)+~P1(x243,x244,x241)
% 241.91/241.96  [25]P2(x252,x253,x254)+~E(x251,x252)+~P2(x251,x253,x254)
% 241.91/241.96  [26]P2(x263,x262,x264)+~E(x261,x262)+~P2(x263,x261,x264)
% 241.91/241.96  [27]P2(x273,x274,x272)+~E(x271,x272)+~P2(x273,x274,x271)
% 241.91/241.96  
% 241.91/241.96  %-------------------------------------------
% 241.91/241.97  cnf(46,plain,
% 241.91/241.97     (~P1(f6(f7(a2,a1,a3),f5(a11,f10(a3)),f10(a3)),f5(a11,f10(a3)),f10(a3))),
% 241.91/241.97     inference(scs_inference,[],[33,37])).
% 241.91/241.97  cnf(47,plain,
% 241.91/241.97     (P1(f6(f7(a2,a1,a3),f5(a11,f10(a3)),f10(a3)),f7(a2,a1,a3),f10(a3))),
% 241.91/241.97     inference(scs_inference,[],[33,37,35])).
% 241.91/241.97  cnf(48,plain,
% 241.91/241.97     (~E(f7(x481,f7(a2,a1,a3),a3),f5(a11,f10(a3)))),
% 241.91/241.97     inference(scs_inference,[],[33,31,37,35,26])).
% 241.91/241.97  cnf(50,plain,
% 241.91/241.97     (~E(a1,f7(a2,a1,a3))),
% 241.91/241.97     inference(scs_inference,[],[29,33,31,37,35,26,25])).
% 241.91/241.97  cnf(52,plain,
% 241.91/241.97     (~P1(f6(f7(a2,a1,a3),f5(a11,f10(a3)),f10(a3)),a1,f10(a3))),
% 241.91/241.97     inference(scs_inference,[],[29,33,31,37,35,26,25,23,36])).
% 241.91/241.97  cnf(54,plain,
% 241.91/241.97     (~P2(f5(a11,f10(a3)),a1,f10(f10(a3)))),
% 241.91/241.97     inference(scs_inference,[],[32,29,33,31,37,35,26,25,23,36,34])).
% 241.91/241.97  cnf(56,plain,
% 241.91/241.97     (~P2(f9(a1,f7(a2,a1,a3),a11,f10(a3)),a1,f10(f10(a3)))),
% 241.91/241.97     inference(scs_inference,[],[32,29,33,31,37,35,26,25,23,36,34,44])).
% 241.91/241.97  cnf(58,plain,
% 241.91/241.97     (~P2(f7(a2,a1,a3),f9(a1,f7(a2,a1,a3),a11,f10(a3)),f10(f10(a3)))),
% 241.91/241.97     inference(scs_inference,[],[32,29,33,31,37,35,26,25,23,36,34,44,43])).
% 241.91/241.97  cnf(60,plain,
% 241.91/241.98     (P1(f9(a1,f7(a2,a1,a3),a11,f10(a3)),a11,f10(f10(a3)))),
% 241.91/241.98     inference(scs_inference,[],[32,29,33,31,37,35,26,25,23,36,34,44,43,40])).
% 241.91/241.98  cnf(64,plain,
% 241.91/241.98     (~P1(f5(a11,f10(a3)),a11,f10(f10(a3)))),
% 241.91/241.98     inference(scs_inference,[],[28,32,29,33,31,37,35,26,25,23,36,34,44,43,40,2,27,38])).
% 241.91/241.98  cnf(75,plain,
% 241.91/241.98     (~E(f9(a1,f7(a2,a1,a3),a11,f10(a3)),f5(a11,f10(a3)))),
% 241.91/241.98     inference(scs_inference,[],[60,64,22])).
% 241.91/241.98  cnf(76,plain,
% 241.91/241.98     (~P2(f7(a2,a1,a3),a1,f10(f10(a3)))),
% 241.91/241.98     inference(scs_inference,[],[47,60,64,52,22,36])).
% 241.91/241.98  cnf(79,plain,
% 241.91/241.98     (P2(x791,f7(x792,x791,x793),f10(f10(x793)))),
% 241.91/241.98     inference(rename_variables,[],[31])).
% 241.91/241.98  cnf(91,plain,
% 241.91/241.98     (P2(f8(a2,a1,a3),a1,f10(f10(a3)))+~P1(f9(a1,f7(a2,a1,a3),a11,f10(a3)),f4(a2,a3),f10(f10(a3)))),
% 241.91/241.98     inference(scs_inference,[],[28,30,31,79,33,46,58,47,60,54,64,52,56,50,22,36,26,23,24,39,42,34,38,41])).
% 241.91/241.98  cnf(93,plain,
% 241.91/241.98     (~P2(f7(a2,f8(a2,a1,a3),a3),a1,f10(f10(a3)))+~P1(f9(a1,f7(a2,a1,a3),a11,f10(a3)),f4(a2,a3),f10(f10(a3)))),
% 241.91/241.98     inference(scs_inference,[],[28,30,31,79,33,46,58,47,60,54,64,52,56,50,22,36,26,23,24,39,42,34,38,41,45])).
% 241.91/241.98  cnf(100,plain,
% 241.91/241.98     (P1(f9(a1,f7(a2,a1,a3),a11,f10(a3)),f4(a2,a3),f10(f10(a3)))),
% 241.91/241.98     inference(scs_inference,[],[30,60,36])).
% 241.91/241.98  cnf(103,plain,
% 241.91/241.98     (~P2(f7(a2,f8(a2,a1,a3),a3),a1,f10(f10(a3)))),
% 241.91/241.98     inference(scs_inference,[],[30,75,60,36,2,93])).
% 241.91/241.98  cnf(104,plain,
% 241.91/241.98     (P2(f8(a2,a1,a3),a1,f10(f10(a3)))),
% 241.91/241.98     inference(scs_inference,[],[30,75,60,36,2,93,91])).
% 241.91/241.98  cnf(120,plain,
% 241.91/241.98     (P1(f9(a1,f7(a2,a1,a3),a11,f10(a3)),f7(x1201,f4(a2,a3),f10(a3)),f10(f10(a3)))),
% 241.91/241.98     inference(scs_inference,[],[31,100,36])).
% 241.91/241.98  cnf(131,plain,
% 241.91/241.98     (P1(f6(f7(a2,f8(a2,a1,a3),a3),a1,f10(a3)),f7(a2,f8(a2,a1,a3),a3),f10(a3))),
% 241.91/241.98     inference(scs_inference,[],[103,35])).
% 241.91/241.98  cnf(133,plain,
% 241.91/241.98     (~P1(f6(f7(a2,f8(a2,a1,a3),a3),a1,f10(a3)),a1,f10(a3))),
% 241.91/241.98     inference(scs_inference,[],[103,35,37])).
% 241.91/241.98  cnf(135,plain,
% 241.91/241.98     (P1(f9(a1,f7(a2,a1,a3),a11,f10(a3)),f7(x1351,f7(x1352,f4(a2,a3),f10(a3)),f10(a3)),f10(f10(a3)))),
% 241.91/241.98     inference(scs_inference,[],[31,103,120,35,37,36])).
% 241.91/241.98  cnf(158,plain,
% 241.91/241.98     (~P1(f6(f7(a2,f8(a2,a1,a3),a3),a1,f10(a3)),f8(a2,a1,a3),f10(a3))),
% 241.91/241.98     inference(scs_inference,[],[133,104,36])).
% 241.91/241.98  cnf(161,plain,
% 241.91/241.98     (~E(f7(a2,f8(a2,a1,a3),a3),a1)),
% 241.91/241.98     inference(scs_inference,[],[131,133,76,104,36,25,23])).
% 241.91/241.98  cnf(177,plain,
% 241.91/241.98     (~P1(f6(f9(a1,f7(a2,a1,a3),a11,f10(a3)),a1,f10(a3)),a1,f10(a3))),
% 241.91/241.98     inference(scs_inference,[],[56,37])).
% 241.91/241.98  cnf(181,plain,
% 241.91/241.98     (P1(f6(f7(a2,a1,a3),f5(a11,f10(a3)),f10(a3)),f7(x1811,f7(a2,a1,a3),a3),f10(a3))),
% 241.91/241.98     inference(scs_inference,[],[47,31,56,100,58,28,37,39,36])).
% 241.91/241.98  cnf(185,plain,
% 241.91/241.98     (~E(f7(a2,f8(a2,a1,a3),a3),f8(a2,a1,a3))),
% 241.91/241.98     inference(scs_inference,[],[47,31,158,131,56,100,104,58,28,37,39,36,25,23])).
% 241.91/241.98  cnf(186,plain,
% 241.91/241.98     (~P2(a1,f8(a2,a1,a3),f10(f10(a3)))),
% 241.91/241.98     inference(scs_inference,[],[47,31,158,131,56,100,104,58,28,37,39,36,25,23,34])).
% 241.91/241.98  cnf(188,plain,
% 241.91/241.98     (P1(f8(a2,a1,a3),f4(a2,a3),f10(f10(a3)))),
% 241.91/241.98     inference(scs_inference,[],[47,31,158,131,56,100,104,58,28,37,39,36,25,23,34,42])).
% 241.91/241.98  cnf(190,plain,
% 241.91/241.98     (~P1(x1901,f5(a11,f10(a3)),f10(a3))+~E(x1901,f6(f7(a2,a1,a3),f5(a11,f10(a3)),f10(a3)))),
% 241.91/241.98     inference(scs_inference,[],[46,47,31,158,131,56,100,104,58,28,37,39,36,25,23,34,42,22])).
% 241.91/241.98  cnf(191,plain,
% 241.91/241.98     (~P1(a1,a11,f10(f10(a3)))),
% 241.91/241.98     inference(scs_inference,[],[46,47,31,158,131,56,103,100,104,58,28,37,39,36,25,23,34,42,22,38])).
% 241.91/241.98  cnf(193,plain,
% 241.91/241.98     (~E(f5(a11,f10(a3)),f8(a2,a1,a3))),
% 241.91/241.98     inference(scs_inference,[],[46,47,31,158,131,56,103,100,104,29,58,28,37,39,36,25,23,34,42,22,38,26])).
% 241.91/241.98  cnf(198,plain,
% 241.91/241.98     (P1(f6(a1,f8(a2,a1,a3),f10(a3)),a1,f10(a3))),
% 241.91/241.98     inference(scs_inference,[],[186,35])).
% 241.91/241.98  cnf(200,plain,
% 241.91/241.98     (P2(f8(a2,f8(a2,a1,a3),a3),f8(a2,a1,a3),f10(f10(a3)))),
% 241.91/241.98     inference(scs_inference,[],[186,188,103,28,35,41])).
% 241.91/241.98  cnf(202,plain,
% 241.91/241.98     (~P2(f7(a2,f8(a2,f8(a2,a1,a3),a3),a3),f8(a2,a1,a3),f10(f10(a3)))),
% 241.91/241.98     inference(scs_inference,[],[186,188,103,28,35,41,45])).
% 241.91/241.98  cnf(204,plain,
% 241.91/241.98     (~E(f8(a2,f8(a2,a1,a3),a3),f8(a2,a1,a3))),
% 241.91/241.98     inference(scs_inference,[],[186,188,103,28,35,41,45,39])).
% 241.91/241.98  cnf(206,plain,
% 241.91/241.98     (P1(f8(a2,a1,a3),f7(x2061,f4(a2,a3),f10(a3)),f10(f10(a3)))),
% 241.91/241.98     inference(scs_inference,[],[31,186,188,103,28,35,41,45,39,36])).
% 241.91/241.98  cnf(207,plain,
% 241.91/241.98     (P2(x2071,f7(x2072,x2071,x2073),f10(f10(x2073)))),
% 241.91/241.98     inference(rename_variables,[],[31])).
% 241.91/241.98  cnf(209,plain,
% 241.91/241.98     (~P2(f7(a2,f8(a2,a1,a3),a3),f8(a2,a1,a3),f10(f10(a3)))),
% 241.91/241.98     inference(scs_inference,[],[31,207,186,185,188,103,28,35,41,45,39,36,34])).
% 241.91/241.98  cnf(213,plain,
% 241.91/241.98     (P1(f8(a2,f8(a2,a1,a3),a3),f4(a2,a3),f10(f10(a3)))),
% 241.91/241.98     inference(scs_inference,[],[48,31,207,186,185,188,103,28,35,41,45,39,36,34,3,42])).
% 241.91/241.98  cnf(215,plain,
% 241.91/241.98     (~P1(f8(a2,a1,a3),a11,f10(f10(a3)))),
% 241.91/241.98     inference(scs_inference,[],[48,31,207,186,185,188,103,28,35,41,45,39,36,34,3,42,38])).
% 241.91/241.98  cnf(221,plain,
% 241.91/241.98     (~P2(f4(a2,a3),a11,f10(f10(f10(a3))))),
% 241.91/241.98     inference(scs_inference,[],[191,28,36])).
% 241.91/241.98  cnf(223,plain,
% 241.91/241.98     (~P2(f8(a2,a1,a3),f8(a2,f8(a2,a1,a3),a3),f10(f10(a3)))),
% 241.91/241.98     inference(scs_inference,[],[204,191,200,28,36,34])).
% 241.91/241.98  cnf(230,plain,
% 241.91/241.98     (E(f9(a1,f7(a2,a1,a3),a11,f10(a3)),a1)+~P2(a1,f9(a1,f7(a2,a1,a3),a11,f10(a3)),f10(f10(a3)))),
% 241.91/241.98     inference(scs_inference,[],[204,191,200,202,206,215,60,104,58,28,36,34,23,38,25,26,2])).
% 241.91/241.98  cnf(238,plain,
% 241.91/241.98     (~P1(f6(f7(a2,f8(a2,a1,a3),a3),a1,f10(a3)),f8(a2,f8(a2,a1,a3),a3),f10(a3))),
% 241.91/241.98     inference(scs_inference,[],[158,200,36])).
% 241.91/241.98  cnf(240,plain,
% 241.91/241.98     (~E(f4(a2,a3),a11)),
% 241.91/241.98     inference(scs_inference,[],[191,158,200,28,36,23])).
% 241.91/241.98  cnf(253,plain,
% 241.91/241.98     (~P2(f7(x2531,f7(a2,a1,a3),a3),f5(a11,f10(a3)),f10(f10(a3)))),
% 241.91/241.98     inference(scs_inference,[],[46,181,36])).
% 241.91/241.98  cnf(255,plain,
% 241.91/241.98     (~E(f7(x2551,f7(a2,f8(a2,a1,a3),a3),a3),f8(a2,a1,a3))),
% 241.91/241.98     inference(scs_inference,[],[31,46,181,209,36,26])).
% 241.91/241.98  cnf(258,plain,
% 241.91/241.98     (~P2(f9(a1,f7(x2581,f7(a2,a1,a3),a3),a11,f10(a3)),a1,f10(f10(a3)))),
% 241.91/241.98     inference(scs_inference,[],[31,46,47,181,209,54,36,26,24,44])).
% 241.91/241.98  cnf(260,plain,
% 241.91/241.98     (~P2(f7(x2601,f7(a2,a1,a3),a3),f9(a1,f7(x2601,f7(a2,a1,a3),a3),a11,f10(a3)),f10(f10(a3)))),
% 241.91/241.98     inference(scs_inference,[],[31,46,47,181,209,54,36,26,24,44,43])).
% 241.91/241.98  cnf(262,plain,
% 241.91/241.98     (P1(f9(a1,f7(x2621,f7(a2,a1,a3),a3),a11,f10(a3)),a11,f10(f10(a3)))),
% 241.91/241.98     inference(scs_inference,[],[31,46,47,181,209,54,36,26,24,44,43,40])).
% 241.91/241.98  cnf(275,plain,
% 241.91/241.98     (~P2(f7(a2,f8(a2,a1,a3),a3),f8(a2,f8(a2,a1,a3),a3),f10(f10(a3)))),
% 241.91/241.98     inference(scs_inference,[],[238,131,36])).
% 241.91/241.98  cnf(286,plain,
% 241.91/241.98     (P1(f9(a1,f7(x2861,f7(a2,a1,a3),a3),a11,f10(a3)),f4(a2,a3),f10(f10(a3)))),
% 241.91/241.98     inference(scs_inference,[],[262,30,36])).
% 241.91/241.98  cnf(288,plain,
% 241.91/241.98     (~E(f8(a2,a1,a3),f9(a1,f7(x2881,f7(a2,a1,a3),a3),a11,f10(a3)))),
% 241.91/241.98     inference(scs_inference,[],[258,262,30,104,36,25])).
% 241.91/241.98  cnf(296,plain,
% 241.91/241.98     (P1(f9(a1,f7(x2961,f7(a2,a1,a3),a3),a11,f10(a3)),f7(x2962,f4(a2,a3),f10(a3)),f10(f10(a3)))),
% 241.91/241.98     inference(scs_inference,[],[286,262,215,31,22,36])).
% 241.91/241.98  cnf(307,plain,
% 241.91/241.98     (~P1(f6(f7(a2,a1,a3),f5(a11,f10(a3)),f10(a3)),f8(a2,a1,a3),f10(a3))),
% 241.91/241.98     inference(scs_inference,[],[52,104,36])).
% 241.91/241.98  cnf(309,plain,
% 241.91/241.98     (~E(f8(a2,f8(a2,f8(a2,a1,a3),a3),a3),f8(a2,f8(a2,a1,a3),a3))),
% 241.91/241.98     inference(scs_inference,[],[52,223,213,202,188,104,36,39])).
% 241.91/241.98  cnf(322,plain,
% 241.91/241.98     (~P1(f6(f7(a2,a1,a3),f5(a11,f10(a3)),f10(a3)),f8(a2,f8(a2,a1,a3),a3),f10(a3))),
% 241.91/241.98     inference(scs_inference,[],[307,200,36])).
% 241.91/241.98  cnf(334,plain,
% 241.91/241.98     (~P2(f7(x3341,f4(a2,a3),f10(a3)),a11,f10(f10(f10(a3))))),
% 241.91/241.98     inference(scs_inference,[],[206,215,36])).
% 241.91/241.98  cnf(336,plain,
% 241.91/241.98     (P1(f8(a2,f8(a2,f8(a2,a1,a3),a3),a3),f4(a2,a3),f10(f10(a3)))),
% 241.91/241.98     inference(scs_inference,[],[206,223,215,213,202,188,36,42])).
% 241.91/241.98  cnf(344,plain,
% 241.91/241.98     (~E(f7(x3441,f7(a2,a1,a3),a3),f8(a2,f8(a2,a1,a3),a3))),
% 241.91/241.98     inference(scs_inference,[],[48,322,260,206,181,286,223,215,213,202,188,36,42,34,39,23])).
% 241.91/241.98  cnf(349,plain,
% 241.91/241.98     (~P2(f7(x3491,f7(a2,a1,a3),a3),f8(a2,f8(a2,a1,a3),a3),f10(f10(a3)))),
% 241.91/241.98     inference(scs_inference,[],[322,181,36])).
% 241.91/241.98  cnf(351,plain,
% 241.91/241.98     (~P1(f6(f5(a11,f10(a3)),a1,f10(a3)),a1,f10(a3))),
% 241.91/241.98     inference(scs_inference,[],[54,322,181,36,37])).
% 241.91/241.98  cnf(353,plain,
% 241.91/241.98     (P1(f6(f9(a1,f7(a2,a1,a3),a11,f10(a3)),a1,f10(a3)),f9(a1,f7(a2,a1,a3),a11,f10(a3)),f10(a3))),
% 241.91/241.98     inference(scs_inference,[],[56,54,322,181,36,37,35])).
% 241.91/241.98  cnf(360,plain,
% 241.91/241.98     (P1(f6(a1,f8(a2,a1,a3),f10(a3)),f5(a11,f10(a3)),f10(a3))),
% 241.91/241.98     inference(scs_inference,[],[64,198,262,29,22,36])).
% 241.91/241.98  cnf(369,plain,
% 241.91/241.98     (P1(f6(a1,f8(a2,a1,a3),f10(a3)),f7(x3691,f5(a11,f10(a3)),a3),f10(a3))),
% 241.91/241.98     inference(scs_inference,[],[360,31,36])).
% 241.91/241.98  cnf(388,plain,
% 241.91/241.98     (~P1(f6(f5(a11,f10(a3)),a1,f10(a3)),f8(a2,a1,a3),f10(a3))),
% 241.91/241.98     inference(scs_inference,[],[353,351,177,186,200,104,23,25,36])).
% 241.91/241.98  cnf(390,plain,
% 241.91/241.98     (~P2(a1,f9(a1,f7(a2,a1,a3),a11,f10(a3)),f10(f10(a3)))),
% 241.91/241.98     inference(scs_inference,[],[353,351,177,186,200,104,23,25,36,230])).
% 241.91/241.98  cnf(394,plain,
% 241.91/241.99     (P2(f7(a2,f9(a1,f7(a2,a1,a3),a11,f10(a3)),a3),a1,f10(f10(a3)))+P1(f8(a2,f9(a1,f7(a2,a1,a3),a11,f10(a3)),a3),f4(a2,a3),f10(f10(a3)))),
% 241.91/241.99     inference(scs_inference,[],[353,351,349,177,213,186,100,200,104,28,23,25,36,230,41,42])).
% 241.91/241.99  cnf(405,plain,
% 241.91/241.99     (~P1(f6(f5(a11,f10(a3)),a1,f10(a3)),f8(a2,f8(a2,a1,a3),a3),f10(a3))),
% 241.91/241.99     inference(scs_inference,[],[388,200,36])).
% 241.91/241.99  cnf(407,plain,
% 241.91/241.99     (~P1(f6(f7(a2,a1,a3),f9(a1,f7(a2,a1,a3),a11,f10(a3)),f10(a3)),f9(a1,f7(a2,a1,a3),a11,f10(a3)),f10(a3))),
% 241.91/241.99     inference(scs_inference,[],[58,388,200,36,37])).
% 241.91/241.99  cnf(409,plain,
% 241.91/241.99     (P1(f6(f5(a11,f10(a3)),a1,f10(a3)),f5(a11,f10(a3)),f10(a3))),
% 241.91/241.99     inference(scs_inference,[],[54,58,388,200,36,37,35])).
% 241.91/241.99  cnf(420,plain,
% 241.91/241.99     (~E(f7(x4201,f7(a2,a1,a3),a3),f8(a2,a1,a3))),
% 241.91/241.99     inference(scs_inference,[],[54,58,288,388,307,260,181,262,286,200,188,36,37,35,38,190,42,27,23])).
% 241.91/241.99  cnf(422,plain,
% 241.91/241.99     (~P2(f5(a11,f10(a3)),f8(a2,f8(a2,a1,a3),a3),f10(f10(a3)))),
% 241.91/241.99     inference(scs_inference,[],[405,409,36])).
% 241.91/241.99  cnf(434,plain,
% 241.91/241.99     (P1(f9(f8(a2,f8(a2,a1,a3),a3),f7(x4341,f7(a2,a1,a3),a3),a11,f10(a3)),a11,f10(f10(a3)))),
% 241.91/241.99     inference(scs_inference,[],[422,253,40])).
% 241.91/241.99  cnf(437,plain,
% 241.91/241.99     (~P1(f6(f9(a1,f7(a2,a1,a3),a11,f10(a3)),a1,f10(a3)),f8(a2,a1,a3),f10(a3))),
% 241.91/241.99     inference(scs_inference,[],[422,407,353,253,177,104,40,22,36])).
% 241.91/241.99  cnf(449,plain,
% 241.91/241.99     (~P1(f6(f9(a1,f7(a2,a1,a3),a11,f10(a3)),a1,f10(a3)),f8(a2,f8(a2,a1,a3),a3),f10(a3))),
% 241.91/241.99     inference(scs_inference,[],[437,200,36])).
% 241.91/241.99  cnf(463,plain,
% 241.91/241.99     (~P1(f6(a1,f9(a1,f7(a2,a1,a3),a11,f10(a3)),f10(a3)),f9(a1,f7(a2,a1,a3),a11,f10(a3)),f10(a3))),
% 241.91/241.99     inference(scs_inference,[],[390,434,30,36,37])).
% 241.91/241.99  cnf(465,plain,
% 241.91/241.99     (P1(f6(f7(a2,a1,a3),f9(a1,f7(a2,a1,a3),a11,f10(a3)),f10(a3)),f7(a2,a1,a3),f10(a3))),
% 241.91/241.99     inference(scs_inference,[],[58,390,434,30,36,37,35])).
% 241.91/241.99  cnf(468,plain,
% 241.91/241.99     (P2(f8(a2,f8(a2,a1,a3),a3),x4681,f10(f10(a3)))+~E(f8(a2,a1,a3),x4681)),
% 241.91/241.99     inference(scs_inference,[],[58,390,434,30,200,31,36,37,35,25,26])).
% 241.91/241.99  cnf(473,plain,
% 241.91/241.99     (~P2(f9(f8(a2,f8(a2,a1,a3),a3),f7(a2,a1,a3),a11,f10(a3)),f8(a2,f8(a2,a1,a3),a3),f10(f10(a3)))),
% 241.91/241.99     inference(scs_inference,[],[422,33,44])).
% 241.91/241.99  cnf(475,plain,
% 241.91/241.99     (~P2(f7(a2,a1,a3),f9(f8(a2,f8(a2,a1,a3),a3),f7(a2,a1,a3),a11,f10(a3)),f10(f10(a3)))),
% 241.91/241.99     inference(scs_inference,[],[422,33,44,43])).
% 241.91/241.99  cnf(477,plain,
% 241.91/241.99     (~P2(f9(a1,f7(a2,a1,a3),a11,f10(a3)),f8(a2,f8(a2,a1,a3),a3),f10(f10(a3)))),
% 241.91/241.99     inference(scs_inference,[],[449,422,353,33,44,43,36])).
% 241.91/241.99  cnf(479,plain,
% 241.91/241.99     (P1(f9(f8(a2,f8(a2,a1,a3),a3),f7(a2,a1,a3),a11,f10(a3)),a11,f10(f10(a3)))),
% 241.91/241.99     inference(scs_inference,[],[449,422,353,33,44,43,36,40])).
% 241.91/241.99  cnf(489,plain,
% 241.91/241.99     (P1(f9(a1,f7(a2,a1,a3),a11,f10(a3)),f7(x4891,a11,f10(a3)),f10(f10(a3)))),
% 241.91/241.99     inference(scs_inference,[],[60,31,36])).
% 241.91/241.99  cnf(507,plain,
% 241.91/241.99     (~P1(f6(f7(a2,a1,a3),a1,f10(a3)),a1,f10(a3))),
% 241.91/241.99     inference(scs_inference,[],[76,103,104,25,37])).
% 241.91/241.99  cnf(509,plain,
% 241.91/241.99     (P1(f6(f7(a2,a1,a3),a1,f10(a3)),f7(a2,a1,a3),f10(a3))),
% 241.91/241.99     inference(scs_inference,[],[76,103,104,25,37,35])).
% 241.91/241.99  cnf(518,plain,
% 241.91/241.99     (~P1(f6(f7(a2,a1,a3),a1,f10(a3)),f8(a2,a1,a3),f10(a3))),
% 241.91/241.99     inference(scs_inference,[],[507,104,36])).
% 241.91/241.99  cnf(522,plain,
% 241.91/241.99     (~P2(f7(a2,a1,a3),f8(a2,a1,a3),f10(f10(a3)))),
% 241.91/241.99     inference(scs_inference,[],[509,518,36])).
% 241.91/241.99  cnf(542,plain,
% 241.91/241.99     (P1(f6(f7(a2,a1,a3),f8(a2,a1,a3),f10(a3)),f7(a2,a1,a3),f10(a3))),
% 241.91/241.99     inference(scs_inference,[],[64,522,434,22,35])).
% 241.91/241.99  cnf(544,plain,
% 241.91/241.99     (~P1(f6(f7(a2,a1,a3),f8(a2,a1,a3),f10(a3)),f8(a2,a1,a3),f10(a3))),
% 241.91/241.99     inference(scs_inference,[],[64,522,434,22,35,37])).
% 241.91/241.99  cnf(546,plain,
% 241.91/241.99     (P1(f6(f7(a2,a1,a3),f9(a1,f7(a2,a1,a3),a11,f10(a3)),f10(a3)),f7(x5461,f7(a2,a1,a3),a3),f10(a3))),
% 241.91/241.99     inference(scs_inference,[],[64,522,465,434,31,22,35,37,36])).
% 241.91/241.99  cnf(551,plain,
% 241.91/241.99     (P1(f9(f8(a2,f8(a2,a1,a3),a3),f7(a2,a1,a3),a11,f10(a3)),f4(a2,a3),f10(f10(a3)))),
% 241.91/241.99     inference(scs_inference,[],[479,30,36])).
% 241.91/241.99  cnf(563,plain,
% 241.91/241.99     (P1(f6(f9(a1,f7(a2,a1,a3),a11,f10(a3)),f8(a2,f8(a2,a1,a3),a3),f10(a3)),f9(a1,f7(a2,a1,a3),a11,f10(a3)),f10(a3))),
% 241.91/241.99     inference(scs_inference,[],[477,35])).
% 241.91/241.99  cnf(576,plain,
% 241.91/241.99     (P1(f9(f8(a2,f8(a2,a1,a3),a3),f7(a2,a1,a3),a11,f10(a3)),f7(x5761,f4(a2,a3),f10(a3)),f10(f10(a3)))),
% 241.91/241.99     inference(scs_inference,[],[344,551,434,191,31,22,2,36])).
% 241.91/241.99  cnf(588,plain,
% 241.91/241.99     (~E(f7(a2,a1,a3),f9(a1,f7(a2,a1,a3),a11,f10(a3)))),
% 241.91/241.99     inference(scs_inference,[],[351,407,465,198,22,23])).
% 241.91/241.99  cnf(589,plain,
% 241.91/241.99     (~P1(f6(f7(a2,a1,a3),f8(a2,a1,a3),f10(a3)),f8(a2,f8(a2,a1,a3),a3),f10(a3))),
% 241.91/241.99     inference(scs_inference,[],[351,544,407,465,198,200,22,23,36])).
% 241.91/241.99  cnf(605,plain,
% 241.91/241.99     (~P2(f5(a11,f10(a3)),f8(a2,a1,a3),f10(f10(a3)))),
% 241.91/241.99     inference(scs_inference,[],[103,588,388,409,31,26,2,36])).
% 241.91/241.99  cnf(608,plain,
% 241.91/241.99     (~P2(f9(f8(a2,a1,a3),f7(x6081,f7(a2,a1,a3),a3),a11,f10(a3)),f8(a2,a1,a3),f10(f10(a3)))),
% 241.91/241.99     inference(scs_inference,[],[103,588,576,388,409,253,31,26,2,36,24,44])).
% 241.91/241.99  cnf(610,plain,
% 241.91/241.99     (~P2(f7(x6101,f7(a2,a1,a3),a3),f9(f8(a2,a1,a3),f7(x6101,f7(a2,a1,a3),a3),a11,f10(a3)),f10(f10(a3)))),
% 241.91/241.99     inference(scs_inference,[],[103,588,576,388,409,253,31,26,2,36,24,44,43])).
% 241.91/241.99  cnf(614,plain,
% 241.91/241.99     (P1(f6(f7(a2,a1,a3),f9(f8(a2,f8(a2,a1,a3),a3),f7(a2,a1,a3),a11,f10(a3)),f10(a3)),f7(a2,a1,a3),f10(a3))),
% 241.91/241.99     inference(scs_inference,[],[103,588,576,388,409,475,253,31,26,2,36,24,44,43,45,35])).
% 241.91/241.99  cnf(623,plain,
% 241.91/241.99     (P1(f9(f8(a2,a1,a3),f7(x6231,f7(a2,a1,a3),a3),a11,f10(a3)),a11,f10(f10(a3)))),
% 241.91/241.99     inference(scs_inference,[],[605,253,40])).
% 241.91/241.99  cnf(625,plain,
% 241.91/241.99     (P1(f6(f7(a2,a1,a3),f8(a2,a1,a3),f10(a3)),f7(x6251,f7(a2,a1,a3),a3),f10(a3))),
% 241.91/241.99     inference(scs_inference,[],[605,542,253,31,40,36])).
% 241.91/241.99  cnf(628,plain,
% 241.91/241.99     (~P2(f9(f8(a2,a1,a3),f7(a2,a1,a3),a11,f10(a3)),f8(a2,a1,a3),f10(f10(a3)))),
% 241.91/241.99     inference(scs_inference,[],[605,542,253,33,31,40,36,44])).
% 241.91/241.99  cnf(630,plain,
% 241.91/241.99     (~P2(f7(a2,a1,a3),f9(f8(a2,a1,a3),f7(a2,a1,a3),a11,f10(a3)),f10(f10(a3)))),
% 241.91/241.99     inference(scs_inference,[],[605,542,253,33,31,40,36,44,43])).
% 241.91/241.99  cnf(635,plain,
% 241.91/241.99     (~P2(x6351,f8(a2,f8(a2,a1,a3),a3),f10(f10(a3)))+~E(x6351,f9(f8(a2,f8(a2,a1,a3),a3),f7(a2,a1,a3),a11,f10(a3)))),
% 241.91/241.99     inference(scs_inference,[],[473,605,542,610,253,33,31,40,36,44,43,38,25])).
% 241.91/241.99  cnf(637,plain,
% 241.91/241.99     (P1(f9(f8(a2,a1,a3),f7(x6371,f7(a2,a1,a3),a3),a11,f10(a3)),f4(a2,a3),f10(f10(a3)))),
% 241.91/241.99     inference(scs_inference,[],[623,30,36])).
% 241.91/241.99  cnf(639,plain,
% 241.91/241.99     (P1(f9(f8(a2,a1,a3),f7(a2,a1,a3),a11,f10(a3)),a11,f10(f10(a3)))),
% 241.91/241.99     inference(scs_inference,[],[623,605,30,33,36,40])).
% 241.91/241.99  cnf(650,plain,
% 241.91/241.99     (~P1(f6(f9(f8(a2,a1,a3),f7(a2,a1,a3),a11,f10(a3)),f8(a2,a1,a3),f10(a3)),f8(a2,a1,a3),f10(a3))),
% 241.91/241.99     inference(scs_inference,[],[420,628,307,181,2,36,37])).
% 241.91/241.99  cnf(661,plain,
% 241.91/241.99     (P1(f9(f8(a2,a1,a3),f7(x6611,f7(a2,a1,a3),a3),a11,f10(a3)),f7(x6612,f4(a2,a3),f10(a3)),f10(f10(a3)))),
% 241.91/241.99     inference(scs_inference,[],[637,31,36])).
% 241.91/241.99  cnf(682,plain,
% 241.91/241.99     (~P1(f6(f9(f8(a2,a1,a3),f7(a2,a1,a3),a11,f10(a3)),f8(a2,a1,a3),f10(a3)),f8(a2,f8(a2,a1,a3),a3),f10(a3))),
% 241.91/241.99     inference(scs_inference,[],[650,200,36])).
% 241.91/241.99  cnf(691,plain,
% 241.91/241.99     (~P1(f6(f9(f8(a2,a1,a3),f7(x6911,f7(a2,a1,a3),a3),a11,f10(a3)),f8(a2,a1,a3),f10(a3)),f8(a2,a1,a3),f10(a3))),
% 241.91/241.99     inference(scs_inference,[],[614,639,608,215,31,22,36,37])).
% 241.91/241.99  cnf(704,plain,
% 241.91/241.99     (~P1(f6(f9(f8(a2,a1,a3),f7(x7041,f7(a2,a1,a3),a3),a11,f10(a3)),f8(a2,a1,a3),f10(a3)),f8(a2,f8(a2,a1,a3),a3),f10(a3))),
% 241.91/241.99     inference(scs_inference,[],[691,200,36])).
% 241.91/241.99  cnf(721,plain,
% 241.91/241.99     (~P2(f9(a1,f7(a2,a1,a3),a11,f10(a3)),f8(a2,a1,a3),f10(f10(a3)))),
% 241.91/241.99     inference(scs_inference,[],[437,353,36])).
% 241.91/241.99  cnf(728,plain,
% 241.91/241.99     (P1(f6(f7(a2,a1,a3),f8(a2,a1,a3),f10(a3)),f7(x7281,f7(x7282,f7(a2,a1,a3),a3),a3),f10(a3))),
% 241.91/241.99     inference(scs_inference,[],[625,31,36])).
% 241.91/241.99  cnf(731,plain,
% 241.91/241.99     (E(a1,f9(f8(a2,a1,a3),f7(a2,a1,a3),a11,f10(a3)))+~P2(a1,f9(f8(a2,a1,a3),f7(a2,a1,a3),a11,f10(a3)),f10(f10(a3)))),
% 241.91/241.99     inference(scs_inference,[],[625,639,630,31,28,36,38])).
% 241.91/241.99  cnf(737,plain,
% 241.91/241.99     (~P1(f6(f9(a1,f7(a2,a1,a3),a11,f10(a3)),f8(a2,a1,a3),f10(a3)),f8(a2,a1,a3),f10(a3))),
% 241.91/241.99     inference(scs_inference,[],[721,37])).
% 241.91/241.99  cnf(744,plain,
% 241.91/241.99     (~E(f8(a2,f8(a2,a1,a3),a3),f9(a1,f7(a2,a1,a3),a11,f10(a3)))),
% 241.91/241.99     inference(scs_inference,[],[161,721,610,637,200,37,2,42,25])).
% 241.91/241.99  cnf(747,plain,
% 241.91/241.99     (~P1(f6(f9(f8(a2,a1,a3),f7(x7471,f7(a2,a1,a3),a3),a11,f10(a3)),f8(a2,a1,a3),f10(a3)),x7472,f10(a3))+~P2(x7472,f8(a2,f8(a2,a1,a3),a3),f10(f10(a3)))),
% 241.91/241.99     inference(scs_inference,[],[135,161,563,704,721,610,637,200,37,2,42,25,23,24,36])).
% 241.91/241.99  cnf(752,plain,
% 241.91/241.99     (P1(f6(f9(a1,f7(a2,a1,a3),a11,f10(a3)),f8(a2,a1,a3),f10(a3)),f9(a1,f7(a2,a1,a3),a11,f10(a3)),f10(a3))),
% 241.91/241.99     inference(scs_inference,[],[623,721,191,22,35])).
% 241.91/241.99  cnf(760,plain,
% 241.91/241.99     (~P1(x7601,f8(a2,a1,a3),f10(a3))+~E(x7601,f6(f7(a2,f8(a2,a1,a3),a3),a1,f10(a3)))),
% 241.91/241.99     inference(scs_inference,[],[158,22])).
% 241.91/241.99  cnf(795,plain,
% 241.91/241.99     (~P1(f6(f9(a1,f7(x7951,f7(a2,a1,a3),a3),a11,f10(a3)),a1,f10(a3)),a1,f10(a3))),
% 241.91/241.99     inference(scs_inference,[],[744,752,728,589,463,258,22,2,23,37])).
% 241.91/241.99  cnf(812,plain,
% 241.91/241.99     (~E(f8(a2,f8(a2,a1,a3),a3),f9(f8(a2,a1,a3),f7(a2,a1,a3),a11,f10(a3)))),
% 241.91/241.99     inference(scs_inference,[],[795,628,198,200,22,25])).
% 241.91/241.99  cnf(814,plain,
% 241.91/241.99     (P1(f6(f7(a2,f8(a2,a1,a3),a3),f8(a2,a1,a3),f10(a3)),f7(a2,f8(a2,a1,a3),a3),f10(a3))),
% 241.91/241.99     inference(scs_inference,[],[795,405,409,209,628,198,200,22,25,23,35])).
% 241.91/241.99  cnf(844,plain,
% 241.91/241.99     (P1(f6(a1,f9(a1,f7(a2,a1,a3),a11,f10(a3)),f10(a3)),a1,f10(a3))),
% 241.91/241.99     inference(scs_inference,[],[390,35])).
% 241.91/241.99  cnf(855,plain,
% 241.91/241.99     (P1(f6(a1,f9(a1,f7(a2,a1,a3),a11,f10(a3)),f10(a3)),f5(a11,f10(a3)),f10(a3))),
% 241.91/241.99     inference(scs_inference,[],[844,605,29,200,25,36])).
% 241.91/241.99  cnf(861,plain,
% 241.91/241.99     (~P2(f7(x8611,f7(a2,a1,a3),a3),f9(a1,f7(a2,a1,a3),a11,f10(a3)),f10(f10(a3)))),
% 241.91/241.99     inference(scs_inference,[],[546,407,721,31,26,36])).
% 241.91/241.99  cnf(867,plain,
% 241.91/241.99     (~P1(f6(f9(a1,f7(a2,a1,a3),a11,f10(a3)),f8(a2,a1,a3),f10(a3)),f8(a2,f8(a2,a1,a3),a3),f10(a3))),
% 241.91/241.99     inference(scs_inference,[],[737,200,36])).
% 241.91/241.99  cnf(891,plain,
% 241.91/241.99     (P1(f6(f5(a11,f10(a3)),f8(a2,f8(a2,a1,a3),a3),f10(a3)),f5(a11,f10(a3)),f10(a3))),
% 241.91/241.99     inference(scs_inference,[],[422,35])).
% 241.91/241.99  cnf(903,plain,
% 241.91/241.99     (~P1(f6(f7(a2,f8(a2,a1,a3),a3),f8(a2,a1,a3),f10(a3)),f8(a2,a1,a3),f10(a3))),
% 241.91/241.99     inference(scs_inference,[],[275,209,31,26,37])).
% 241.91/241.99  cnf(907,plain,
% 241.91/241.99     (~P1(f6(f7(a2,f8(a2,a1,a3),a3),f8(a2,a1,a3),f10(a3)),f8(a2,f8(a2,a1,a3),a3),f10(a3))),
% 241.91/241.99     inference(scs_inference,[],[903,200,36])).
% 241.91/241.99  cnf(914,plain,
% 241.91/241.99     (~E(f9(f8(a2,a1,a3),f7(a2,a1,a3),a11,f10(a3)),a1)),
% 241.91/241.99     inference(scs_inference,[],[639,191,22])).
% 241.91/241.99  cnf(915,plain,
% 241.91/241.99     (~P2(f5(a11,f10(a3)),f9(a1,f7(a2,a1,a3),a11,f10(a3)),f10(f10(a3)))),
% 241.91/241.99     inference(scs_inference,[],[855,463,639,191,22,36])).
% 241.91/241.99  cnf(917,plain,
% 241.91/241.99     (P1(f9(f9(a1,f7(a2,a1,a3),a11,f10(a3)),f7(x9171,f7(a2,a1,a3),a3),a11,f10(a3)),a11,f10(f10(a3)))),
% 241.91/241.99     inference(scs_inference,[],[855,463,639,191,253,22,36,40])).
% 241.91/241.99  cnf(919,plain,
% 241.91/241.99     (P1(f6(f8(a2,a1,a3),f8(a2,f8(a2,a1,a3),a3),f10(a3)),f8(a2,a1,a3),f10(a3))),
% 241.91/241.99     inference(scs_inference,[],[855,463,639,191,223,253,22,36,40,35])).
% 241.91/241.99  cnf(922,plain,
% 241.91/241.99     (~P2(f9(f9(a1,f7(a2,a1,a3),a11,f10(a3)),f7(a2,a1,a3),a11,f10(a3)),f9(a1,f7(a2,a1,a3),a11,f10(a3)),f10(f10(a3)))),
% 241.91/241.99     inference(scs_inference,[],[915,919,33,760,44])).
% 241.91/241.99  cnf(924,plain,
% 241.91/241.99     (~P2(f7(a2,a1,a3),f9(f9(a1,f7(a2,a1,a3),a11,f10(a3)),f7(a2,a1,a3),a11,f10(a3)),f10(f10(a3)))),
% 241.91/241.99     inference(scs_inference,[],[915,919,33,760,44,43])).
% 241.91/241.99  cnf(926,plain,
% 241.91/241.99     (P1(f9(f9(a1,f7(a2,a1,a3),a11,f10(a3)),f7(a2,a1,a3),a11,f10(a3)),a11,f10(f10(a3)))),
% 241.91/241.99     inference(scs_inference,[],[915,919,33,760,44,43,40])).
% 241.91/241.99  cnf(928,plain,
% 241.91/241.99     (~P1(f6(f9(a1,f7(x9281,f7(a2,a1,a3),a3),a11,f10(a3)),a1,f10(a3)),f8(a2,a1,a3),f10(a3))),
% 241.91/241.99     inference(scs_inference,[],[915,919,795,104,33,760,44,43,40,36])).
% 241.91/241.99  cnf(942,plain,
% 241.91/241.99     (P1(f6(f7(a2,a1,a3),f9(f9(a1,f7(a2,a1,a3),a11,f10(a3)),f7(a2,a1,a3),a11,f10(a3)),f10(a3)),f7(a2,a1,a3),f10(a3))),
% 241.91/241.99     inference(scs_inference,[],[924,35])).
% 241.91/241.99  cnf(948,plain,
% 241.91/241.99     (E(a1,f9(f9(a1,f7(a2,a1,a3),a11,f10(a3)),f7(a2,a1,a3),a11,f10(a3)))+~P2(a1,f9(f9(a1,f7(a2,a1,a3),a11,f10(a3)),f7(a2,a1,a3),a11,f10(a3)),f10(f10(a3)))),
% 241.91/241.99     inference(scs_inference,[],[924,926,915,30,28,35,36,37,38])).
% 241.91/241.99  cnf(968,plain,
% 241.91/241.99     (~E(f9(f9(a1,f7(a2,a1,a3),a11,f10(a3)),f7(x9681,f7(a2,a1,a3),a3),a11,f10(a3)),f8(a2,a1,a3))),
% 241.91/241.99     inference(scs_inference,[],[917,215,22])).
% 241.91/241.99  cnf(980,plain,
% 241.91/241.99     (~P1(f6(f9(a1,f7(x9801,f7(a2,a1,a3),a3),a11,f10(a3)),a1,f10(a3)),f8(a2,f8(a2,a1,a3),a3),f10(a3))),
% 241.91/241.99     inference(scs_inference,[],[928,903,919,200,22,36])).
% 241.91/241.99  cnf(994,plain,
% 241.91/241.99     (~P2(x9941,f9(a1,f7(a2,a1,a3),a11,f10(a3)),f10(f10(a3)))+~E(x9941,f9(f9(a1,f7(a2,a1,a3),a11,f10(a3)),f7(a2,a1,a3),a11,f10(a3)))),
% 241.91/241.99     inference(scs_inference,[],[188,922,917,926,349,861,30,100,36,45,35,38,25])).
% 241.91/241.99  cnf(998,plain,
% 241.91/241.99     (P1(f6(f7(a2,a1,a3),f9(f9(a1,f7(a2,a1,a3),a11,f10(a3)),f7(a2,a1,a3),a11,f10(a3)),f10(a3)),f7(x9981,f7(a2,a1,a3),a3),f10(a3))),
% 241.91/241.99     inference(scs_inference,[],[942,31,36])).
% 241.91/241.99  cnf(1001,plain,
% 241.91/241.99     (~P1(f6(a1,f8(a2,a1,a3),f10(a3)),f8(a2,a1,a3),f10(a3))),
% 241.91/241.99     inference(scs_inference,[],[186,942,31,36,37])).
% 241.91/241.99  cnf(1003,plain,
% 241.91/241.99     (P1(f6(f7(a2,a1,a3),f9(f9(a1,f7(a2,a1,a3),a11,f10(a3)),f7(a2,a1,a3),a11,f10(a3)),f10(a3)),x10031,f10(a3))+~E(f7(a2,a1,a3),x10031)),
% 241.91/241.99     inference(scs_inference,[],[186,942,31,36,37,23])).
% 241.91/241.99  cnf(1007,plain,
% 241.91/241.99     (~P1(f6(a1,f8(a2,a1,a3),f10(a3)),f8(a2,f8(a2,a1,a3),a3),f10(a3))),
% 241.91/241.99     inference(scs_inference,[],[1001,200,36])).
% 241.91/241.99  cnf(1020,plain,
% 241.91/241.99     (P1(f6(f8(a2,a1,a3),f8(a2,f8(a2,a1,a3),a3),f10(a3)),a1,f10(a3))),
% 241.91/241.99     inference(scs_inference,[],[919,104,36])).
% 241.91/241.99  cnf(1029,plain,
% 241.91/241.99     (P1(f6(f8(a2,a1,a3),f8(a2,f8(a2,a1,a3),a3),f10(a3)),f5(a11,f10(a3)),f10(a3))),
% 241.91/241.99     inference(scs_inference,[],[1020,29,36])).
% 241.91/241.99  cnf(1045,plain,
% 241.91/241.99     (P1(f6(a1,f8(a2,a1,a3),f10(a3)),f7(x10451,a1,a3),f10(a3))),
% 241.91/241.99     inference(scs_inference,[],[198,1001,369,31,23,36])).
% 241.91/241.99  cnf(1051,plain,
% 241.91/241.99     (~P2(a1,f8(a2,f8(a2,a1,a3),a3),f10(f10(a3)))),
% 241.91/241.99     inference(scs_inference,[],[198,1007,507,22,36])).
% 241.91/241.99  cnf(1054,plain,
% 241.91/241.99     (P1(f6(a1,f8(a2,f8(a2,a1,a3),a3),f10(a3)),a1,f10(a3))),
% 241.91/241.99     inference(scs_inference,[],[1051,35])).
% 241.91/241.99  cnf(1066,plain,
% 241.91/241.99     (~P1(f6(a1,f8(a2,f8(a2,a1,a3),a3),f10(a3)),f8(a2,f8(a2,a1,a3),a3),f10(a3))),
% 241.91/241.99     inference(scs_inference,[],[1051,37])).
% 241.91/241.99  cnf(1076,plain,
% 241.91/241.99     (P1(f6(a1,f8(a2,a1,a3),f10(a3)),f7(x10761,f7(x10762,a1,a3),a3),f10(a3))),
% 241.91/241.99     inference(scs_inference,[],[193,1045,31,34,36])).
% 241.91/241.99  cnf(1083,plain,
% 241.91/241.99     (P1(f6(f5(a11,f10(a3)),f9(a1,f7(a2,a1,a3),a11,f10(a3)),f10(a3)),f5(a11,f10(a3)),f10(a3))),
% 241.91/241.99     inference(scs_inference,[],[1054,507,915,22,35])).
% 241.91/241.99  cnf(1086,plain,
% 241.91/241.99     (~P1(f6(f9(a1,f7(x10861,f7(a2,a1,a3),a3),a11,f10(a3)),a1,f10(a3)),x10862,f10(a3))+~P2(x10862,f8(a2,f8(a2,a1,a3),a3),f10(f10(a3)))),
% 241.91/241.99     inference(scs_inference,[],[198,1054,507,980,915,22,35,24,36])).
% 241.91/241.99  cnf(1101,plain,
% 241.91/241.99     (P1(f6(f7(a2,a1,a3),f9(f8(a2,a1,a3),f7(a2,a1,a3),a11,f10(a3)),f10(a3)),f7(a2,a1,a3),f10(a3))),
% 241.91/241.99     inference(scs_inference,[],[630,35])).
% 241.91/241.99  cnf(1103,plain,
% 241.91/241.99     (~P2(f7(x11031,f7(x11032,a1,a3),a3),f8(a2,a1,a3),f10(f10(a3)))),
% 241.91/241.99     inference(scs_inference,[],[1076,1001,630,35,36])).
% 241.91/241.99  cnf(1117,plain,
% 241.91/241.99     (~E(f7(x11171,f7(x11172,f7(x11173,a1,a3),a3),a3),f8(a2,a1,a3))),
% 241.91/241.99     inference(scs_inference,[],[1103,31,26])).
% 241.91/241.99  cnf(1129,plain,
% 241.91/241.99     (~P1(f6(f7(x11291,f7(x11292,a1,a3),a3),f8(a2,a1,a3),f10(a3)),f8(a2,a1,a3),f10(a3))),
% 241.91/241.99     inference(scs_inference,[],[1020,1103,351,22,37])).
% 241.91/241.99  cnf(1132,plain,
% 241.91/241.99     (~P2(f7(x11321,f7(x11322,a1,a3),a3),f8(a2,a1,a3),f10(f10(a3)))),
% 241.91/241.99     inference(rename_variables,[],[1103])).
% 241.91/241.99  cnf(1134,plain,
% 241.91/241.99     (P1(f6(f7(x11341,f7(x11342,a1,a3),a3),f8(a2,a1,a3),f10(a3)),f7(x11341,f7(x11342,a1,a3),a3),f10(a3))),
% 241.91/241.99     inference(scs_inference,[],[1020,1103,1132,351,188,22,37,45,35])).
% 241.91/241.99  cnf(1145,plain,
% 241.91/241.99     (P1(f8(a2,a1,a3),f7(x11451,f7(x11452,f4(a2,a3),f10(a3)),f10(a3)),f10(f10(a3)))),
% 241.91/241.99     inference(scs_inference,[],[206,31,36])).
% 241.91/241.99  cnf(1149,plain,
% 241.91/241.99     (~P1(f6(f7(x11491,f7(x11492,a1,a3),a3),f8(a2,a1,a3),f10(a3)),f8(a2,f8(a2,a1,a3),a3),f10(a3))),
% 241.91/241.99     inference(scs_inference,[],[200,1129,36])).
% 241.91/241.99  cnf(1156,plain,
% 241.91/241.99     (~P2(f7(x11561,f7(x11562,a1,a3),a3),f8(a2,f8(a2,a1,a3),a3),f10(f10(a3)))),
% 241.91/241.99     inference(scs_inference,[],[1149,1134,36])).
% 241.91/241.99  cnf(1162,plain,
% 241.91/241.99     (P2(x11621,f7(x11622,x11621,x11623),f10(f10(x11623)))),
% 241.91/241.99     inference(rename_variables,[],[31])).
% 241.91/241.99  cnf(1164,plain,
% 241.91/241.99     (P1(f8(a2,f8(a2,a1,a3),a3),f7(x11641,f4(a2,a3),f10(a3)),f10(f10(a3)))),
% 241.91/241.99     inference(scs_inference,[],[213,1156,1045,1007,31,1162,26,23,36])).
% 241.91/241.99  cnf(1189,plain,
% 241.91/241.99     (~P1(f6(f8(a2,a1,a3),f8(a2,f8(a2,a1,a3),a3),f10(a3)),f8(a2,f8(a2,a1,a3),a3),f10(a3))),
% 241.91/241.99     inference(scs_inference,[],[1103,223,200,25,37])).
% 241.91/241.99  cnf(1191,plain,
% 241.91/241.99     (P1(f6(f5(a11,f10(a3)),f8(a2,a1,a3),f10(a3)),f5(a11,f10(a3)),f10(a3))),
% 241.91/241.99     inference(scs_inference,[],[1103,223,605,200,25,37,35])).
% 241.91/241.99  cnf(1193,plain,
% 241.91/241.99     (~P2(f7(x11931,f7(a2,a1,a3),a3),a1,f10(f10(a3)))),
% 241.91/241.99     inference(scs_inference,[],[1103,52,223,605,181,200,25,37,35,36])).
% 241.91/241.99  cnf(1195,plain,
% 241.91/241.99     (~E(f6(f5(a11,f10(a3)),f8(a2,a1,a3),f10(a3)),f6(f7(a2,a1,a3),f5(a11,f10(a3)),f10(a3)))),
% 241.91/241.99     inference(scs_inference,[],[1103,52,223,605,181,200,25,37,35,36,190])).
% 241.91/241.99  cnf(1198,plain,
% 241.91/241.99     (P1(f8(a2,a1,a3),f7(x11981,f7(x11982,f7(x11983,f4(a2,a3),f10(a3)),f10(a3)),f10(a3)),f10(f10(a3)))),
% 241.91/241.99     inference(scs_inference,[],[1145,31,36])).
% 241.91/241.99  cnf(1203,plain,
% 241.91/241.99     (~E(f6(a1,f8(a2,f8(a2,a1,a3),a3),f10(a3)),f6(f5(a11,f10(a3)),a1,f10(a3)))),
% 241.91/241.99     inference(scs_inference,[],[1054,351,22])).
% 241.91/241.99  cnf(1212,plain,
% 241.91/241.99     (P1(f6(f7(x12121,f7(a2,a1,a3),a3),a1,f10(a3)),f7(x12121,f7(a2,a1,a3),a3),f10(a3))),
% 241.91/241.99     inference(scs_inference,[],[221,1193,37,35])).
% 241.91/241.99  cnf(1223,plain,
% 241.91/241.99     (P2(x12231,f7(x12232,x12231,x12233),f10(f10(x12233)))),
% 241.91/241.99     inference(rename_variables,[],[31])).
% 241.91/241.99  cnf(1224,plain,
% 241.91/241.99     (P1(f6(f7(a2,a1,a3),f9(f8(a2,a1,a3),f7(a2,a1,a3),a11,f10(a3)),f10(a3)),f7(x12241,f7(a2,a1,a3),a3),f10(a3))),
% 241.91/241.99     inference(scs_inference,[],[223,1101,31,1223,26,36])).
% 241.91/241.99  cnf(1257,plain,
% 241.91/241.99     (~P1(f6(f7(x12571,f7(a2,a1,a3),a3),a1,f10(a3)),a1,f10(a3))),
% 241.91/241.99     inference(scs_inference,[],[1193,37])).
% 241.91/241.99  cnf(1259,plain,
% 241.91/241.99     (P1(f6(f9(f8(a2,a1,a3),f7(a2,a1,a3),a11,f10(a3)),f8(a2,a1,a3),f10(a3)),f9(f8(a2,a1,a3),f7(a2,a1,a3),a11,f10(a3)),f10(a3))),
% 241.91/241.99     inference(scs_inference,[],[1193,628,37,35])).
% 241.91/241.99  cnf(1262,plain,
% 241.91/241.99     (~P2(f9(f8(a2,a1,a3),f7(a2,a1,a3),a11,f10(a3)),f8(a2,f8(a2,a1,a3),a3),f10(f10(a3)))),
% 241.91/241.99     inference(scs_inference,[],[1189,1193,682,628,37,35,22,36])).
% 241.91/241.99  cnf(1271,plain,
% 241.91/241.99     (P1(f8(a2,f8(a2,a1,a3),a3),f7(x12711,f7(x12712,f4(a2,a3),f10(a3)),f10(a3)),f10(f10(a3)))),
% 241.91/241.99     inference(scs_inference,[],[1164,31,36])).
% 241.91/241.99  cnf(1281,plain,
% 241.91/241.99     (~P1(f6(f7(x12811,f7(a2,a1,a3),a3),a1,f10(a3)),f8(a2,a1,a3),f10(a3))),
% 241.91/241.99     inference(scs_inference,[],[1257,104,36])).
% 241.91/241.99  cnf(1299,plain,
% 241.91/241.99     (~P1(f6(f9(f8(a2,a1,a3),f7(a2,a1,a3),a11,f10(a3)),f8(a2,f8(a2,a1,a3),a3),f10(a3)),f8(a2,f8(a2,a1,a3),a3),f10(a3))),
% 241.91/241.99     inference(scs_inference,[],[1262,1257,1054,22,37])).
% 241.91/241.99  cnf(1301,plain,
% 241.91/241.99     (P1(f6(f9(f8(a2,a1,a3),f7(a2,a1,a3),a11,f10(a3)),f8(a2,f8(a2,a1,a3),a3),f10(a3)),f9(f8(a2,a1,a3),f7(a2,a1,a3),a11,f10(a3)),f10(a3))),
% 241.91/241.99     inference(scs_inference,[],[1262,1257,1054,22,37,35])).
% 241.91/241.99  cnf(1305,plain,
% 241.91/241.99     (~P2(f7(x13051,a1,a3),f8(a2,a1,a3),f10(f10(a3)))),
% 241.91/241.99     inference(scs_inference,[],[240,1262,1257,1054,1045,1001,22,37,35,38,36])).
% 241.91/241.99  cnf(1308,plain,
% 241.91/241.99     (~P1(f6(f7(x13081,f7(a2,a1,a3),a3),a1,f10(a3)),f8(a2,f8(a2,a1,a3),a3),f10(a3))),
% 241.91/241.99     inference(scs_inference,[],[1305,1281,200,25,36])).
% 241.91/241.99  cnf(1323,plain,
% 241.91/241.99     (~P1(f6(f7(x13231,a1,a3),f8(a2,a1,a3),f10(a3)),f8(a2,a1,a3),f10(a3))),
% 241.91/241.99     inference(scs_inference,[],[1305,37])).
% 241.91/241.99  cnf(1325,plain,
% 241.91/241.99     (P1(f6(f7(x13251,a1,a3),f8(a2,a1,a3),f10(a3)),f7(x13251,a1,a3),f10(a3))),
% 241.91/241.99     inference(scs_inference,[],[1305,37,35])).
% 241.91/241.99  cnf(1327,plain,
% 241.91/241.99     (~P1(f6(f9(a1,f7(x13271,f7(a2,a1,a3),a3),a11,f10(a3)),a1,f10(a3)),x13272,f10(a3))+~E(x13272,a1)),
% 241.91/241.99     inference(scs_inference,[],[1305,795,37,35,23])).
% 241.91/241.99  cnf(1330,plain,
% 241.91/241.99     (P1(f6(f7(x13301,a1,a3),f8(a2,a1,a3),f10(a3)),f7(x13302,f7(x13301,a1,a3),a3),f10(a3))),
% 241.91/241.99     inference(scs_inference,[],[1325,1257,1020,31,22,36])).
% 241.91/241.99  cnf(1333,plain,
% 241.91/241.99     (~P1(f6(f7(x13331,a1,a3),f8(a2,a1,a3),f10(a3)),f8(a2,f8(a2,a1,a3),a3),f10(a3))),
% 241.91/241.99     inference(scs_inference,[],[1323,200,36])).
% 241.91/241.99  cnf(1338,plain,
% 241.91/241.99     (~E(f7(x13381,f9(f8(a2,a1,a3),f7(x13382,f7(a2,a1,a3),a3),a11,f10(a3)),a3),f8(a2,a1,a3))),
% 241.91/241.99     inference(scs_inference,[],[608,31,26])).
% 241.91/241.99  cnf(1342,plain,
% 241.91/241.99     (~P1(f6(f7(x13421,f7(a2,a1,a3),a3),f5(a11,f10(a3)),f10(a3)),f5(a11,f10(a3)),f10(a3))),
% 241.91/241.99     inference(scs_inference,[],[253,37])).
% 241.91/241.99  cnf(1344,plain,
% 241.91/241.99     (P1(f6(f7(x13441,f7(a2,a1,a3),a3),f5(a11,f10(a3)),f10(a3)),f7(x13441,f7(a2,a1,a3),a3),f10(a3))),
% 241.91/241.99     inference(scs_inference,[],[253,37,35])).
% 241.91/241.99  cnf(1346,plain,
% 241.91/241.99     (~P2(x13461,f8(a2,f8(a2,a1,a3),a3),f10(f10(a3)))+~E(x13461,f9(f8(a2,a1,a3),f7(a2,a1,a3),a11,f10(a3)))),
% 241.91/241.99     inference(scs_inference,[],[253,1262,37,35,25])).
% 241.91/241.99  cnf(1352,plain,
% 241.91/241.99     (~P1(f6(f9(a1,f7(x13521,f7(a2,a1,a3),a3),a11,f10(a3)),a1,f10(a3)),x13522,f10(a3))+~E(x13522,f8(a2,f8(a2,a1,a3),a3))),
% 241.91/241.99     inference(scs_inference,[],[980,23])).
% 241.91/241.99  cnf(1356,plain,
% 241.91/241.99     (P1(f6(f7(x13561,a1,a3),f8(a2,a1,a3),f10(a3)),f7(x13562,f7(x13563,f7(x13561,a1,a3),a3),a3),f10(a3))),
% 241.91/241.99     inference(scs_inference,[],[255,1342,1330,360,31,22,2,36])).
% 241.91/241.99  cnf(1360,plain,
% 241.91/241.99     (~P1(f6(f7(x13601,f7(a2,a1,a3),a3),f5(a11,f10(a3)),f10(a3)),a1,f10(a3))),
% 241.91/241.99     inference(scs_inference,[],[1342,29,36])).
% 241.91/241.99  cnf(1387,plain,
% 241.91/241.99     (~P1(f6(f7(a2,a1,a3),f9(f8(a2,a1,a3),f7(a2,a1,a3),a11,f10(a3)),f10(a3)),f9(f8(a2,a1,a3),f7(a2,a1,a3),a11,f10(a3)),f10(a3))),
% 241.91/241.99     inference(scs_inference,[],[1203,1356,1323,630,2,36,37])).
% 241.91/241.99  cnf(1390,plain,
% 241.91/241.99     (~E(f7(x13901,f7(a2,a1,a3),a3),f9(f8(a2,a1,a3),f7(a2,a1,a3),a11,f10(a3)))),
% 241.91/241.99     inference(scs_inference,[],[1203,1344,1356,1224,1323,630,2,36,37,24,23])).
% 241.91/241.99  cnf(1408,plain,
% 241.91/241.99     (~P1(f6(f7(x14081,f7(a2,a1,a3),a3),f5(a11,f10(a3)),f10(a3)),f8(a2,a1,a3),f10(a3))),
% 241.91/241.99     inference(scs_inference,[],[1360,104,36])).
% 241.91/241.99  cnf(1430,plain,
% 241.91/241.99     (P1(f6(f7(a2,a1,a3),a1,f10(a3)),f7(x14301,f7(a2,a1,a3),a3),f10(a3))),
% 241.91/241.99     inference(scs_inference,[],[509,31,36])).
% 241.91/241.99  cnf(1439,plain,
% 241.91/241.99     (~P1(f6(f7(x14391,f7(a2,a1,a3),a3),f5(a11,f10(a3)),f10(a3)),f8(a2,f8(a2,a1,a3),a3),f10(a3))),
% 241.91/241.99     inference(scs_inference,[],[1408,200,36])).
% 241.91/241.99  cnf(1441,plain,
% 241.91/241.99     (~P2(x14411,f8(a2,f8(a2,a1,a3),a3),f10(f10(a3)))+~E(x14411,f7(a2,f8(a2,a1,a3),a3))),
% 241.91/241.99     inference(scs_inference,[],[275,25])).
% 241.91/241.99  cnf(1456,plain,
% 241.91/241.99     (P1(f6(f7(a2,a1,a3),a1,f10(a3)),f7(x14561,f7(x14562,f7(a2,a1,a3),a3),a3),f10(a3))),
% 241.91/241.99     inference(scs_inference,[],[1430,1439,31,22,36])).
% 241.91/241.99  cnf(1462,plain,
% 241.91/241.99     (P1(f9(a1,f7(x14621,f7(a2,a1,a3),a3),a11,f10(a3)),f7(x14622,a11,f10(a3)),f10(f10(a3)))),
% 241.91/241.99     inference(scs_inference,[],[262,31,36])).
% 241.91/241.99  cnf(1467,plain,
% 241.91/241.99     (~P2(f7(x14671,f7(x14672,f7(a2,a1,a3),a3),a3),a1,f10(f10(a3)))),
% 241.91/241.99     inference(scs_inference,[],[1456,507,36])).
% 241.91/241.99  cnf(1471,plain,
% 241.91/241.99     (P1(f6(a1,f8(a2,f8(a2,a1,a3),a3),f10(a3)),f5(a11,f10(a3)),f10(a3))),
% 241.91/241.99     inference(scs_inference,[],[1467,1054,29,104,25,36])).
% 241.91/241.99  cnf(1473,plain,
% 241.91/241.99     (~E(f6(a1,f8(a2,f8(a2,a1,a3),a3),f10(a3)),f6(f7(a2,a1,a3),f5(a11,f10(a3)),f10(a3)))),
% 241.91/241.99     inference(scs_inference,[],[1467,1054,29,104,25,36,190])).
% 241.91/241.99  cnf(1474,plain,
% 241.91/241.99     (~P1(f6(f7(x14741,f7(x14742,f7(a2,a1,a3),a3),a3),a1,f10(a3)),a1,f10(a3))),
% 241.91/241.99     inference(scs_inference,[],[1467,1054,29,104,25,36,190,37])).
% 241.91/241.99  cnf(1498,plain,
% 241.91/241.99     (~P1(f6(f5(a11,f10(a3)),f8(a2,a1,a3),f10(a3)),f8(a2,a1,a3),f10(a3))),
% 241.91/241.99     inference(scs_inference,[],[605,37])).
% 241.91/241.99  cnf(1548,plain,
% 241.91/241.99     (~P2(f7(x15481,a1,a3),f8(a2,f8(a2,a1,a3),a3),f10(f10(a3)))),
% 241.91/241.99     inference(scs_inference,[],[1325,1333,36])).
% 241.91/241.99  cnf(1555,plain,
% 241.91/241.99     (~P1(f6(f5(a11,f10(a3)),f8(a2,a1,a3),f10(a3)),f8(a2,f8(a2,a1,a3),a3),f10(a3))),
% 241.91/241.99     inference(scs_inference,[],[1548,1498,200,35,36])).
% 241.91/241.99  cnf(1591,plain,
% 241.91/241.99     (~E(f8(a2,f8(a2,a1,a3),a3),f8(a2,f8(a2,f8(a2,a1,a3),a3),a3))),
% 241.91/241.99     inference(scs_inference,[],[309,2])).
% 241.91/241.99  cnf(1751,plain,
% 241.91/241.99     (~E(f9(f9(a1,f7(a2,a1,a3),a11,f10(a3)),f7(a2,a1,a3),a11,f10(a3)),a1)),
% 241.91/241.99     inference(scs_inference,[],[926,191,22])).
% 241.91/241.99  cnf(1958,plain,
% 241.91/241.99     (~P2(x19581,f9(a1,f7(a2,a1,a3),a11,f10(a3)),f10(f10(a3)))+~E(x19581,f5(a11,f10(a3)))),
% 241.91/241.99     inference(scs_inference,[],[915,25])).
% 241.91/241.99  cnf(1992,plain,
% 241.91/241.99     (~P2(x19921,f8(a2,f8(a2,a1,a3),a3),f10(f10(a3)))+~E(x19921,f8(a2,a1,a3))),
% 241.91/241.99     inference(scs_inference,[],[223,25])).
% 241.91/241.99  cnf(2058,plain,
% 241.91/241.99     (P1(f6(f7(a2,a1,a3),f9(f8(a2,f8(a2,a1,a3),a3),f7(a2,a1,a3),a11,f10(a3)),f10(a3)),x20581,f10(a3))+~E(f7(a2,a1,a3),x20581)),
% 241.91/241.99     inference(scs_inference,[],[614,23])).
% 241.91/241.99  cnf(2090,plain,
% 241.91/241.99     (E(a1,f9(f8(a2,a1,a3),f7(a2,a1,a3),a11,f10(a3)))+P1(f6(a1,f9(f8(a2,a1,a3),f7(a2,a1,a3),a11,f10(a3)),f10(a3)),a1,f10(a3))),
% 241.91/241.99     inference(scs_inference,[],[731,35])).
% 241.91/241.99  cnf(2170,plain,
% 241.91/241.99     (P1(f9(f8(a2,a1,a3),f7(x21701,f7(a2,a1,a3),a3),a11,f10(a3)),f7(x21702,a11,f10(a3)),f10(f10(a3)))),
% 241.91/241.99     inference(scs_inference,[],[623,31,36])).
% 241.91/241.99  cnf(2200,plain,
% 241.91/241.99     (P1(f9(f8(a2,a1,a3),f7(a2,a1,a3),a11,f10(a3)),f7(x22001,a11,f10(a3)),f10(f10(a3)))),
% 241.91/241.99     inference(scs_inference,[],[639,31,36])).
% 241.91/241.99  cnf(2204,plain,
% 241.91/241.99     (P1(f9(f8(a2,a1,a3),f7(a2,a1,a3),a11,f10(a3)),f7(x22041,f7(x22042,a11,f10(a3)),f10(a3)),f10(f10(a3)))),
% 241.91/241.99     inference(scs_inference,[],[2200,31,36])).
% 241.91/241.99  cnf(2403,plain,
% 241.91/242.00     (P1(f6(a1,f9(a1,f7(a2,a1,a3),a11,f10(a3)),f10(a3)),f7(x24031,a1,a3),f10(a3))),
% 241.91/242.00     inference(scs_inference,[],[844,31,36])).
% 241.91/242.00  cnf(2413,plain,
% 241.91/242.00     (~P2(f7(x24131,a1,a3),f9(a1,f7(a2,a1,a3),a11,f10(a3)),f10(f10(a3)))),
% 241.91/242.00     inference(scs_inference,[],[2403,463,36])).
% 241.91/242.00  cnf(2419,plain,
% 241.91/242.00     (~P1(f6(f7(x24191,a1,a3),f9(a1,f7(a2,a1,a3),a11,f10(a3)),f10(a3)),f9(a1,f7(a2,a1,a3),a11,f10(a3)),f10(a3))),
% 241.91/242.00     inference(scs_inference,[],[2403,463,100,36,42,39,37])).
% 241.91/242.00  cnf(2425,plain,
% 241.91/242.00     (P1(f6(f7(x24251,a1,a3),f9(a1,f7(a2,a1,a3),a11,f10(a3)),f10(a3)),f7(x24251,a1,a3),f10(a3))),
% 241.91/242.00     inference(scs_inference,[],[2413,35])).
% 241.91/242.00  cnf(2439,plain,
% 241.91/242.00     (P1(f6(f7(x24391,a1,a3),f9(a1,f7(a2,a1,a3),a11,f10(a3)),f10(a3)),f7(x24392,f7(x24391,a1,a3),a3),f10(a3))),
% 241.91/242.00     inference(scs_inference,[],[2425,31,36])).
% 241.91/242.00  cnf(2458,plain,
% 241.91/242.00     (~P2(f7(x24581,f7(x24582,a1,a3),a3),f9(a1,f7(a2,a1,a3),a11,f10(a3)),f10(f10(a3)))),
% 241.91/242.00     inference(scs_inference,[],[2439,2419,36])).
% 241.91/242.00  cnf(2462,plain,
% 241.91/242.00     (~P1(f6(f7(x24621,f7(x24622,a1,a3),a3),f9(a1,f7(a2,a1,a3),a11,f10(a3)),f10(a3)),f9(a1,f7(a2,a1,a3),a11,f10(a3)),f10(a3))),
% 241.91/242.00     inference(scs_inference,[],[1338,2439,2419,36,2,37])).
% 241.91/242.00  cnf(2472,plain,
% 241.91/242.00     (~P2(x24721,f9(a1,f7(a2,a1,a3),a11,f10(a3)),f10(f10(a3)))+~E(x24721,f7(x24722,a1,a3))),
% 241.91/242.00     inference(scs_inference,[],[1338,2439,2419,2413,100,31,36,2,37,35,26,24,45,27,25])).
% 241.91/242.00  cnf(2492,plain,
% 241.91/242.00     (~E(f6(f5(a11,f10(a3)),f8(a2,f8(a2,a1,a3),a3),f10(a3)),f6(f7(a2,a1,a3),f5(a11,f10(a3)),f10(a3)))),
% 241.91/242.00     inference(scs_inference,[],[891,190])).
% 241.91/242.00  cnf(2533,plain,
% 241.91/242.00     (P1(f6(f9(a1,f7(x25331,f7(a2,a1,a3),a3),a11,f10(a3)),a1,f10(a3)),f9(a1,f7(x25331,f7(a2,a1,a3),a3),a11,f10(a3)),f10(a3))),
% 241.91/242.00     inference(scs_inference,[],[1471,1342,258,22,35])).
% 241.91/242.00  cnf(2545,plain,
% 241.91/242.00     (~P2(f9(a1,f7(x25451,f7(a2,a1,a3),a3),a11,f10(a3)),f8(a2,f8(a2,a1,a3),a3),f10(f10(a3)))),
% 241.91/242.00     inference(scs_inference,[],[2533,1086])).
% 241.91/242.00  cnf(2549,plain,
% 241.91/242.00     (~P2(f7(a2,f8(a2,f8(a2,f8(a2,a1,a3),a3),a3),a3),f8(a2,f8(a2,a1,a3),a3),f10(f10(a3)))),
% 241.91/242.00     inference(scs_inference,[],[188,213,202,223,2533,1086,1327,1352,45])).
% 241.91/242.00  cnf(2557,plain,
% 241.91/242.00     (P2(f8(a2,f8(a2,f8(a2,a1,a3),a3),a3),f8(a2,f8(a2,a1,a3),a3),f10(f10(a3)))),
% 241.91/242.00     inference(scs_inference,[],[188,213,253,915,202,1007,928,919,223,2533,1086,1327,1352,45,24,22,43,44,41])).
% 241.91/242.00  cnf(2559,plain,
% 241.91/242.00     (~P1(f6(f9(f8(a2,a1,a3),f7(x25591,f7(a2,a1,a3),a3),a11,f10(a3)),f8(a2,a1,a3),f10(a3)),f8(a2,f8(a2,f8(a2,a1,a3),a3),a3),f10(a3))),
% 241.91/242.00     inference(scs_inference,[],[188,213,253,915,202,1007,928,919,223,2533,1086,1327,1352,45,24,22,43,44,41,747])).
% 241.91/242.00  cnf(2561,plain,
% 241.91/242.00     (~P1(f6(f9(f8(a2,a1,a3),f7(a2,a1,a3),a11,f10(a3)),f8(a2,a1,a3),f10(a3)),f8(a2,f8(a2,f8(a2,a1,a3),a3),a3),f10(a3))),
% 241.91/242.00     inference(scs_inference,[],[188,213,253,915,202,682,1007,928,919,223,2533,1086,1327,1352,45,24,22,43,44,41,747,36])).
% 241.91/242.00  cnf(2565,plain,
% 241.91/242.00     (~P2(f8(a2,f8(a2,a1,a3),a3),f8(a2,f8(a2,f8(a2,a1,a3),a3),a3),f10(f10(a3)))),
% 241.91/242.00     inference(scs_inference,[],[188,213,253,915,1156,202,682,1007,928,1591,919,223,2533,1086,1327,1352,45,24,22,43,44,41,747,36,25,27,34])).
% 241.91/242.00  cnf(2582,plain,
% 241.91/242.00     (~E(f8(a2,f8(a2,f8(a2,a1,a3),a3),a3),f9(f8(a2,f8(a2,a1,a3),a3),f7(a2,a1,a3),a11,f10(a3)))),
% 241.91/242.00     inference(scs_inference,[],[369,924,1007,1117,2557,1083,2565,468,1346,1441,1992,36,2,37,190,635])).
% 241.91/242.00  cnf(2585,plain,
% 241.91/242.00     (P2(f8(a2,f8(a2,f8(a2,a1,a3),a3),a3),x25851,f10(f10(a3)))+~E(f8(a2,f8(a2,a1,a3),a3),x25851)),
% 241.91/242.00     inference(scs_inference,[],[369,489,924,1007,1117,2557,1083,2565,468,1346,1441,1992,36,2,37,190,635,1003,23,26])).
% 241.91/242.00  cnf(2591,plain,
% 241.91/242.00     (P1(f6(f7(a2,a1,a3),f5(a11,f10(a3)),f10(a3)),f7(x25911,f7(x25912,f7(a2,a1,a3),a3),a3),f10(a3))),
% 241.91/242.00     inference(scs_inference,[],[181,31,36])).
% 241.91/242.00  cnf(2608,plain,
% 241.91/242.00     (P1(f6(f7(x26081,f7(a2,a1,a3),a3),f9(f8(a2,a1,a3),f7(x26081,f7(a2,a1,a3),a3),a11,f10(a3)),f10(a3)),f7(x26081,f7(a2,a1,a3),a3),f10(a3))),
% 241.91/242.00     inference(scs_inference,[],[2557,610,1007,2561,31,1259,23,26,36,35])).
% 241.91/242.00  cnf(2612,plain,
% 241.91/242.00     (~P2(f9(a1,f7(x26121,f7(a2,a1,a3),a3),a11,f10(a3)),f8(a2,a1,a3),f10(f10(a3)))),
% 241.91/242.00     inference(scs_inference,[],[928,2533,36])).
% 241.91/242.00  cnf(2629,plain,
% 241.91/242.00     (~E(f6(f8(a2,a1,a3),f8(a2,f8(a2,a1,a3),a3),f10(a3)),f6(f7(x26291,f7(a2,a1,a3),a3),f5(a11,f10(a3)),f10(a3)))),
% 241.91/242.00     inference(scs_inference,[],[296,1020,2557,475,1360,1195,2545,31,36,25,2,37,2058,22])).
% 241.91/242.00  cnf(2666,plain,
% 241.91/242.00     (~E(f8(a2,f9(a1,f7(a2,a1,a3),a11,f10(a3)),a3),f7(x26661,a1,a3))+P2(f7(a2,f9(a1,f7(a2,a1,a3),a11,f10(a3)),a3),a1,f10(f10(a3)))),
% 241.91/242.00     inference(scs_inference,[],[28,390,100,334,1473,1342,409,22,2,37,41,2472])).
% 241.91/242.00  cnf(2667,plain,
% 241.91/242.00     (~P1(f6(a1,f9(a1,f7(a2,a1,a3),a11,f10(a3)),f10(a3)),f8(a2,f9(a1,f7(a2,a1,a3),a11,f10(a3)),a3),f10(a3))+P2(f7(a2,f9(a1,f7(a2,a1,a3),a11,f10(a3)),a3),a1,f10(f10(a3)))),
% 241.91/242.00     inference(scs_inference,[],[28,390,100,334,1473,463,1342,409,22,2,37,41,2472,36])).
% 241.91/242.00  cnf(2669,plain,
% 241.91/242.00     (~E(f8(a2,f9(a1,f7(a2,a1,a3),a11,f10(a3)),a3),a1)+P2(f7(a2,f9(a1,f7(a2,a1,a3),a11,f10(a3)),a3),a1,f10(f10(a3)))),
% 241.91/242.00     inference(scs_inference,[],[28,390,100,334,1473,463,1342,409,22,2,37,41,2472,36,25])).
% 241.91/242.00  cnf(2688,plain,
% 241.91/242.00     (P1(f6(f9(a1,f7(x26881,f7(a2,a1,a3),a3),a11,f10(a3)),f8(a2,a1,a3),f10(a3)),f9(a1,f7(x26881,f7(a2,a1,a3),a3),a11,f10(a3)),f10(a3))),
% 241.91/242.00     inference(scs_inference,[],[661,2612,31,36,35])).
% 241.91/242.00  cnf(2712,plain,
% 241.91/242.00     (~P2(f9(f8(a2,a1,a3),f7(a2,a1,a3),a11,f10(a3)),f8(a2,f8(a2,f8(a2,a1,a3),a3),a3),f10(f10(a3)))),
% 241.91/242.00     inference(scs_inference,[],[28,213,639,2561,812,1387,1301,1259,22,38,24,36])).
% 241.91/242.00  cnf(2726,plain,
% 241.91/242.00     (~P2(f9(f8(a2,a1,a3),f7(x27261,f7(a2,a1,a3),a3),a11,f10(a3)),f8(a2,f8(a2,a1,a3),a3),f10(f10(a3)))),
% 241.91/242.00     inference(scs_inference,[],[2204,31,608,36,35,747])).
% 241.91/242.00  cnf(2742,plain,
% 241.91/242.00     (~P1(f6(f9(a1,f7(x27421,f7(a2,a1,a3),a3),a11,f10(a3)),f8(a2,a1,a3),f10(a3)),f8(a2,a1,a3),f10(a3))),
% 241.91/242.00     inference(scs_inference,[],[2612,1390,2,37])).
% 241.91/242.00  cnf(2751,plain,
% 241.91/242.00     (~E(f6(f9(a1,f7(a2,a1,a3),a11,f10(a3)),f8(a2,f8(a2,a1,a3),a3),f10(a3)),f6(a1,f9(a1,f7(a2,a1,a3),a11,f10(a3)),f10(a3)))),
% 241.91/242.00     inference(scs_inference,[],[463,563,22])).
% 241.91/242.00  cnf(2773,plain,
% 241.91/242.00     (P1(f6(a1,f9(f8(a2,a1,a3),f7(a2,a1,a3),a11,f10(a3)),f10(a3)),a1,f10(a3))),
% 241.91/242.00     inference(scs_inference,[],[914,2726,2,37,2090])).
% 241.91/242.00  cnf(2774,plain,
% 241.91/242.00     (~P2(a1,f9(f8(a2,a1,a3),f7(a2,a1,a3),a11,f10(a3)),f10(f10(a3)))),
% 241.91/242.00     inference(scs_inference,[],[914,2726,2,37,2090,731])).
% 241.91/242.00  cnf(2807,plain,
% 241.91/242.00     (~P1(f6(a1,f9(f8(a2,a1,a3),f7(a2,a1,a3),a11,f10(a3)),f10(a3)),f9(f8(a2,a1,a3),f7(a2,a1,a3),a11,f10(a3)),f10(a3))),
% 241.91/242.00     inference(scs_inference,[],[2774,2170,968,31,36,2,37])).
% 241.91/242.00  cnf(2842,plain,
% 241.91/242.00     (P1(f8(a2,f8(a2,a1,a3),a3),f7(x28421,f7(x28422,f7(x28423,f4(a2,a3),f10(a3)),f10(a3)),f10(a3)),f10(f10(a3)))),
% 241.91/242.00     inference(scs_inference,[],[1271,31,36])).
% 241.91/242.00  cnf(2857,plain,
% 241.91/242.00     (~P2(x28571,f9(a1,f7(a2,a1,a3),a11,f10(a3)),f10(f10(a3)))+~E(x28571,f7(x28572,f7(x28573,a1,a3),a3))),
% 241.91/242.00     inference(scs_inference,[],[2458,31,922,26,25])).
% 241.91/242.00  cnf(2910,plain,
% 241.91/242.00     (~E(f6(f8(a2,a1,a3),f8(a2,f8(a2,a1,a3),a3),f10(a3)),f6(f9(f8(a2,a1,a3),f7(x29101,f7(a2,a1,a3),a3),a11,f10(a3)),f8(a2,a1,a3),f10(a3)))),
% 241.91/242.00     inference(scs_inference,[],[919,691,22])).
% 241.91/242.00  cnf(2911,plain,
% 241.91/242.00     (P1(f9(a1,f7(a2,a1,a3),a11,f10(a3)),f7(x29111,f7(x29112,f7(x29113,f4(a2,a3),f10(a3)),f10(a3)),f10(a3)),f10(f10(a3)))),
% 241.91/242.00     inference(scs_inference,[],[135,31,919,691,22,36])).
% 241.91/242.00  cnf(2958,plain,
% 241.91/242.00     (~P2(x29581,f8(a2,f8(a2,f8(a2,a1,a3),a3),a3),f10(f10(a3)))+~E(x29581,f9(f8(a2,a1,a3),f7(a2,a1,a3),a11,f10(a3)))),
% 241.91/242.00     inference(scs_inference,[],[100,2712,23,25])).
% 241.91/242.00  cnf(2975,plain,
% 241.91/242.00     (P1(f6(f7(x29751,a1,a3),f9(a1,f7(a2,a1,a3),a11,f10(a3)),f10(a3)),f7(x29752,f7(x29753,f7(x29751,a1,a3),a3),a3),f10(a3))),
% 241.91/242.00     inference(scs_inference,[],[2170,998,2439,2582,31,2,22,24,36])).
% 241.91/242.00  cnf(3005,plain,
% 241.91/242.00     (P1(f8(a2,a1,a3),f7(x30051,f7(x30052,f7(x30053,f7(x30054,f4(a2,a3),f10(a3)),f10(a3)),f10(a3)),f10(a3)),f10(f10(a3)))),
% 241.91/242.00     inference(scs_inference,[],[1198,31,36])).
% 241.91/242.00  cnf(3016,plain,
% 241.91/242.00     (~P1(f6(f5(a11,f10(a3)),a1,f10(a3)),f8(a2,f8(a2,f8(a2,a1,a3),a3),a3),f10(a3))),
% 241.91/242.00     inference(scs_inference,[],[2557,405,353,2419,22,36])).
% 241.91/242.00  cnf(3032,plain,
% 241.91/242.00     (P1(f9(a1,f7(x30321,f7(a2,a1,a3),a3),a11,f10(a3)),f7(x30322,f7(x30323,a11,f10(a3)),f10(a3)),f10(f10(a3)))),
% 241.91/242.00     inference(scs_inference,[],[215,1462,3005,31,23,36])).
% 241.91/242.00  cnf(3043,plain,
% 241.91/242.00     (~P1(f6(f7(a2,f8(a2,a1,a3),a3),a1,f10(a3)),f8(a2,f8(a2,f8(a2,a1,a3),a3),a3),f10(a3))),
% 241.91/242.00     inference(scs_inference,[],[2557,238,36])).
% 241.91/242.00  cnf(3067,plain,
% 241.91/242.00     (~P1(f6(f9(a1,f7(a2,a1,a3),a11,f10(a3)),f8(a2,a1,a3),f10(a3)),f8(a2,f8(a2,f8(a2,a1,a3),a3),a3),f10(a3))),
% 241.91/242.00     inference(scs_inference,[],[2557,867,36])).
% 241.91/242.00  cnf(3092,plain,
% 241.91/242.00     (~E(f6(f8(a2,a1,a3),f8(a2,f8(a2,a1,a3),a3),f10(a3)),f6(f9(a1,f7(x30921,f7(a2,a1,a3),a3),a11,f10(a3)),f8(a2,a1,a3),f10(a3)))),
% 241.91/242.00     inference(scs_inference,[],[919,2742,22])).
% 241.91/242.00  cnf(3110,plain,
% 241.91/242.00     (~P1(f6(f7(a2,a1,a3),f5(a11,f10(a3)),f10(a3)),f8(a2,f8(a2,f8(a2,a1,a3),a3),a3),f10(a3))),
% 241.91/242.00     inference(scs_inference,[],[2557,322,36])).
% 241.91/242.00  cnf(3119,plain,
% 241.91/242.00     (~E(f6(f7(a2,a1,a3),f5(a11,f10(a3)),f10(a3)),f6(f5(a11,f10(a3)),f8(a2,f8(a2,a1,a3),a3),f10(a3)))),
% 241.91/242.00     inference(scs_inference,[],[2492,2])).
% 241.91/242.00  cnf(3139,plain,
% 241.91/242.00     (~P1(f6(f9(a1,f7(a2,a1,a3),a11,f10(a3)),a1,f10(a3)),f8(a2,f8(a2,f8(a2,a1,a3),a3),a3),f10(a3))),
% 241.91/242.00     inference(scs_inference,[],[2557,449,36])).
% 241.91/242.00  cnf(3176,plain,
% 241.91/242.00     (P1(f6(a1,f8(a2,f8(a2,a1,a3),a3),f10(a3)),f7(x31761,f5(a11,f10(a3)),a3),f10(a3))),
% 241.91/242.00     inference(scs_inference,[],[1471,31,36])).
% 241.91/242.00  cnf(3184,plain,
% 241.91/242.00     (~P2(f7(x31841,f7(a2,a1,a3),a3),f8(a2,f8(a2,f8(a2,a1,a3),a3),a3),f10(f10(a3)))),
% 241.91/242.00     inference(scs_inference,[],[181,3032,3110,23,36])).
% 241.91/242.00  cnf(3205,plain,
% 241.91/242.00     (~P1(f6(f7(x32051,f7(a2,a1,a3),a3),a1,f10(a3)),f8(a2,f8(a2,f8(a2,a1,a3),a3),a3),f10(a3))),
% 241.91/242.00     inference(scs_inference,[],[2557,1308,36])).
% 241.91/242.00  cnf(3208,plain,
% 241.91/242.00     (~P2(x32081,f8(a2,f8(a2,f8(a2,a1,a3),a3),a3),f10(f10(a3)))+~E(x32081,f7(x32082,f7(a2,a1,a3),a3))),
% 241.91/242.00     inference(scs_inference,[],[2557,1308,2751,3184,36,2,25])).
% 241.91/242.00  cnf(3222,plain,
% 241.91/242.00     (P1(f6(f8(a2,a1,a3),f8(a2,f8(a2,a1,a3),a3),f10(a3)),f7(x32221,f5(a11,f10(a3)),a3),f10(a3))),
% 241.91/242.00     inference(scs_inference,[],[1029,31,36])).
% 241.91/242.00  cnf(3232,plain,
% 241.91/242.00     (~P1(f6(f7(a2,f8(a2,a1,a3),a3),f8(a2,a1,a3),f10(a3)),f8(a2,f8(a2,f8(a2,a1,a3),a3),a3),f10(a3))),
% 241.91/242.00     inference(scs_inference,[],[2557,907,36])).
% 241.91/242.00  cnf(3284,plain,
% 241.91/242.00     (~P1(f6(f5(a11,f10(a3)),f8(a2,a1,a3),f10(a3)),f8(a2,f8(a2,f8(a2,a1,a3),a3),a3),f10(a3))),
% 241.91/242.00     inference(scs_inference,[],[2557,1555,36])).
% 241.91/242.00  cnf(3316,plain,
% 241.91/242.00     (~P2(f7(a2,f8(a2,a1,a3),a3),f8(a2,f8(a2,f8(a2,a1,a3),a3),a3),f10(f10(a3)))),
% 241.91/242.00     inference(scs_inference,[],[3232,2629,814,2,36])).
% 241.91/242.00  cnf(3341,plain,
% 241.91/242.00     (~P2(f7(x33411,f7(x33412,f7(x33413,a1,a3),a3),a3),f9(a1,f7(a2,a1,a3),a11,f10(a3)),f10(f10(a3)))),
% 241.91/242.00     inference(scs_inference,[],[2975,2419,36])).
% 241.91/242.00  cnf(3353,plain,
% 241.91/242.00     (~P2(f5(a11,f10(a3)),f8(a2,f8(a2,f8(a2,a1,a3),a3),a3),f10(f10(a3)))),
% 241.91/242.00     inference(scs_inference,[],[3284,1191,36])).
% 241.91/242.00  cnf(3355,plain,
% 241.91/242.00     (P1(f9(f8(a2,f8(a2,f8(a2,a1,a3),a3),a3),f7(a2,a1,a3),a11,f10(a3)),a11,f10(f10(a3)))),
% 241.91/242.00     inference(scs_inference,[],[33,3284,1191,36,40])).
% 241.91/242.00  cnf(3357,plain,
% 241.91/242.00     (~P2(f7(a2,a1,a3),f9(f8(a2,f8(a2,f8(a2,a1,a3),a3),a3),f7(a2,a1,a3),a11,f10(a3)),f10(f10(a3)))),
% 241.91/242.00     inference(scs_inference,[],[33,3284,1191,36,40,43])).
% 241.91/242.00  cnf(3376,plain,
% 241.91/242.00     (P1(f6(f7(a2,a1,a3),f9(f8(a2,f8(a2,f8(a2,a1,a3),a3),a3),f7(a2,a1,a3),a11,f10(a3)),f10(a3)),f7(a2,a1,a3),f10(a3))),
% 241.91/242.00     inference(scs_inference,[],[215,3357,3355,22,35])).
% 241.91/242.00  cnf(3378,plain,
% 241.91/242.00     (~P2(f9(a1,f7(a2,a1,a3),a11,f10(a3)),f8(a2,f8(a2,f8(a2,a1,a3),a3),a3),f10(f10(a3)))),
% 241.91/242.00     inference(scs_inference,[],[215,3357,3355,3139,353,22,35,36])).
% 241.91/242.00  cnf(3404,plain,
% 241.91/242.00     (~P1(f6(a1,f8(a2,f8(a2,a1,a3),a3),f10(a3)),f8(a2,f8(a2,f8(a2,a1,a3),a3),a3),f10(a3))),
% 241.91/242.00     inference(scs_inference,[],[2557,1066,36])).
% 241.91/242.00  cnf(3449,plain,
% 241.91/242.00     (~P2(x34491,f8(a2,f8(a2,f8(a2,a1,a3),a3),a3),f10(f10(a3)))+~E(x34491,f7(a2,f8(a2,a1,a3),a3))),
% 241.91/242.00     inference(scs_inference,[],[3316,2910,2,25])).
% 241.91/242.00  cnf(3490,plain,
% 241.91/242.00     (P1(f6(f9(a1,f7(a2,a1,a3),a11,f10(a3)),a1,f10(a3)),f7(x34901,f9(a1,f7(a2,a1,a3),a11,f10(a3)),a3),f10(a3))),
% 241.91/242.00     inference(scs_inference,[],[31,353,36])).
% 241.91/242.00  cnf(3502,plain,
% 241.91/242.00     (~P1(f6(f8(a2,a1,a3),f8(a2,f8(a2,a1,a3),a3),f10(a3)),f8(a2,f8(a2,f8(a2,a1,a3),a3),a3),f10(a3))),
% 241.91/242.00     inference(scs_inference,[],[2557,3092,1189,2,36])).
% 241.91/242.00  cnf(3533,plain,
% 241.91/242.00     (P2(f8(a2,f8(a2,f8(a2,f8(a2,a1,a3),a3),a3),a3),f8(a2,f8(a2,f8(a2,a1,a3),a3),a3),f10(f10(a3)))),
% 241.91/242.00     inference(scs_inference,[],[3490,33,2549,3353,3139,336,213,2565,31,44,26,36,41])).
% 241.91/242.00  cnf(3537,plain,
% 241.91/242.00     (~P1(f8(a2,f8(a2,a1,a3),a3),a11,f10(f10(a3)))),
% 241.91/242.00     inference(scs_inference,[],[3490,33,2549,3353,3139,336,309,213,2557,2565,31,44,26,36,41,42,38])).
% 241.91/242.00  cnf(3540,plain,
% 241.91/242.00     (~E(f8(a2,f8(a2,f8(a2,f8(a2,a1,a3),a3),a3),a3),f7(a2,f8(a2,a1,a3),a3))),
% 241.91/242.00     inference(scs_inference,[],[3490,33,2549,3353,3139,336,309,213,2557,2565,31,44,26,36,41,42,38,3208,3449])).
% 241.91/242.00  cnf(3567,plain,
% 241.91/242.00     (~E(f8(a2,f8(a2,f8(a2,f8(a2,a1,a3),a3),a3),a3),f9(f8(a2,a1,a3),f7(a2,a1,a3),a11,f10(a3)))),
% 241.91/242.00     inference(scs_inference,[],[3537,2842,3540,3533,3355,2,36,22,2958])).
% 241.91/242.00  cnf(3579,plain,
% 241.91/242.00     (~P2(f8(a2,f8(a2,f8(a2,a1,a3),a3),a3),f8(a2,f8(a2,f8(a2,f8(a2,a1,a3),a3),a3),a3),f10(f10(a3)))),
% 241.91/242.00     inference(scs_inference,[],[191,2559,3533,2549,3355,336,213,2565,36,22,39,34])).
% 241.91/242.00  cnf(3587,plain,
% 241.91/242.00     (~P2(f7(x35871,f5(a11,f10(a3)),a3),f8(a2,f8(a2,f8(a2,a1,a3),a3),a3),f10(f10(a3)))),
% 241.91/242.00     inference(scs_inference,[],[3176,3404,3579,2585,36])).
% 241.91/242.00  cnf(3603,plain,
% 241.91/242.00     (~P2(f7(x36031,f7(x36032,f7(x36033,f7(x36034,f4(a2,a3),f10(a3)),f10(a3)),f10(a3)),f10(a3)),a11,f10(f10(f10(a3))))),
% 241.91/242.00     inference(scs_inference,[],[3005,215,3567,3587,3533,2,25,36])).
% 241.91/242.00  cnf(3677,plain,
% 241.91/242.00     (~P1(f6(f7(x36771,f7(a2,a1,a3),a3),a1,f10(a3)),f8(a2,f8(a2,f8(a2,f8(a2,a1,a3),a3),a3),a3),f10(a3))),
% 241.91/242.00     inference(scs_inference,[],[3603,3205,3533,31,26,36])).
% 241.91/242.00  cnf(3691,plain,
% 241.91/242.00     (~P1(f6(f5(a11,f10(a3)),a1,f10(a3)),f8(a2,f8(a2,f8(a2,f8(a2,a1,a3),a3),a3),a3),f10(a3))),
% 241.91/242.00     inference(scs_inference,[],[3016,3533,36])).
% 241.91/242.00  cnf(3712,plain,
% 241.91/242.00     (~P2(f7(x37121,f7(a2,a1,a3),a3),f8(a2,f8(a2,f8(a2,f8(a2,a1,a3),a3),a3),a3),f10(f10(a3)))),
% 241.91/242.00     inference(scs_inference,[],[3677,1212,36])).
% 241.91/242.00  cnf(3730,plain,
% 241.91/242.00     (P2(f7(a2,f9(a1,f7(a2,a1,a3),a11,f10(a3)),a3),a1,f10(f10(a3)))+~P2(f7(a2,f8(a2,f9(a1,f7(a2,a1,a3),a11,f10(a3)),a3),a3),f9(a1,f7(a2,a1,a3),a11,f10(a3)),f10(f10(a3)))),
% 241.91/242.00     inference(scs_inference,[],[28,390,3119,3712,3043,3691,3378,3533,100,409,31,25,36,34,26,23,45])).
% 241.91/242.00  cnf(3757,plain,
% 241.91/242.00     (~P1(f6(f9(a1,f7(a2,a1,a3),a11,f10(a3)),f8(a2,a1,a3),f10(a3)),f8(a2,f8(a2,f8(a2,f8(a2,a1,a3),a3),a3),a3),f10(a3))),
% 241.91/242.00     inference(scs_inference,[],[3067,3533,36])).
% 241.91/242.00  cnf(3773,plain,
% 241.91/242.00     (~P1(f6(f7(x37731,f7(x37732,f7(x37733,a1,a3),a3),a3),f9(a1,f7(a2,a1,a3),a11,f10(a3)),f10(a3)),f9(a1,f7(a2,a1,a3),a11,f10(a3)),f10(a3))),
% 241.91/242.00     inference(scs_inference,[],[3757,3341,752,36,37])).
% 241.91/242.00  cnf(4036,plain,
% 241.91/242.00     (~P1(f6(f8(a2,a1,a3),f8(a2,f8(a2,a1,a3),a3),f10(a3)),f8(a2,f8(a2,f8(a2,f8(a2,a1,a3),a3),a3),a3),f10(a3))),
% 241.91/242.00     inference(scs_inference,[],[3502,3533,36])).
% 241.91/242.00  cnf(4053,plain,
% 241.91/242.00     (~P2(f7(x40531,f5(a11,f10(a3)),a3),f8(a2,f8(a2,f8(a2,f8(a2,a1,a3),a3),a3),a3),f10(f10(a3)))),
% 241.91/242.00     inference(scs_inference,[],[3222,4036,36])).
% 241.91/242.00  cnf(4062,plain,
% 241.91/242.00     (~E(f6(a1,f9(f8(a2,a1,a3),f7(a2,a1,a3),a11,f10(a3)),f10(a3)),f6(f7(x40621,f7(a2,a1,a3),a3),f5(a11,f10(a3)),f10(a3)))),
% 241.91/242.00     inference(scs_inference,[],[1360,2773,22])).
% 241.91/242.00  cnf(4077,plain,
% 241.91/242.00     (P2(x40771,f7(x40772,x40771,x40773),f10(f10(x40773)))),
% 241.91/242.00     inference(rename_variables,[],[31])).
% 241.91/242.00  cnf(4078,plain,
% 241.91/242.00     (P1(f6(f7(a2,a1,a3),f5(a11,f10(a3)),f10(a3)),f7(x40781,f7(x40782,f7(x40783,f7(a2,a1,a3),a3),a3),a3),f10(a3))),
% 241.91/242.00     inference(scs_inference,[],[2591,4062,4053,31,4077,35,34,26,36])).
% 241.91/242.00  cnf(4093,plain,
% 241.91/242.00     (~E(f7(x40931,f7(x40932,f7(x40933,f7(a2,a1,a3),a3),a3),a3),f8(a2,a1,a3))),
% 241.91/242.00     inference(scs_inference,[],[4078,307,23])).
% 241.91/242.00  cnf(4274,plain,
% 241.91/242.00     (~P1(f6(f9(a1,f7(x42741,f7(a2,a1,a3),a3),a11,f10(a3)),f8(a2,a1,a3),f10(a3)),f8(a2,f8(a2,a1,a3),a3),f10(a3))),
% 241.91/242.00     inference(scs_inference,[],[2742,200,36])).
% 241.91/242.00  cnf(4282,plain,
% 241.91/242.00     (~P2(f7(x42821,f7(a2,a1,a3),a3),f9(f8(a2,f8(a2,a1,a3),a3),f7(x42821,f7(a2,a1,a3),a3),a11,f10(a3)),f10(f10(a3)))),
% 241.91/242.00     inference(scs_inference,[],[422,253,43])).
% 241.91/242.00  cnf(4289,plain,
% 241.91/242.00     (~P2(f9(f8(a2,f8(a2,a1,a3),a3),f7(x42891,f7(a2,a1,a3),a3),a11,f10(a3)),f8(a2,f8(a2,a1,a3),a3),f10(f10(a3)))),
% 241.91/242.00     inference(scs_inference,[],[3376,2545,422,253,31,43,36,35,44])).
% 241.91/242.00  cnf(4298,plain,
% 241.91/242.00     (~P1(f6(f9(a1,f7(x42981,f7(a2,a1,a3),a3),a11,f10(a3)),f8(a2,a1,a3),f10(a3)),f8(a2,f8(a2,f8(a2,a1,a3),a3),a3),f10(a3))),
% 241.91/242.00     inference(scs_inference,[],[4274,2557,36])).
% 241.91/242.00  cnf(4309,plain,
% 241.91/242.00     (P1(f6(a1,f9(f8(a2,a1,a3),f7(a2,a1,a3),a11,f10(a3)),f10(a3)),f5(a11,f10(a3)),f10(a3))),
% 241.91/242.00     inference(scs_inference,[],[4282,4289,2773,2557,29,31,26,25,36])).
% 241.91/242.00  cnf(4312,plain,
% 241.91/242.00     (~E(a1,f9(f9(a1,f7(a2,a1,a3),a11,f10(a3)),f7(a2,a1,a3),a11,f10(a3)))),
% 241.91/242.00     inference(scs_inference,[],[1751,4282,2608,4289,2773,2557,29,31,26,25,36,24,2])).
% 241.91/242.00  cnf(4315,plain,
% 241.91/242.00     (~P2(a1,f9(f9(a1,f7(a2,a1,a3),a11,f10(a3)),f7(a2,a1,a3),a11,f10(a3)),f10(f10(a3)))),
% 241.91/242.00     inference(scs_inference,[],[4312,948])).
% 241.91/242.00  cnf(4316,plain,
% 241.91/242.00     (~P2(f5(a11,f10(a3)),f9(f8(a2,a1,a3),f7(a2,a1,a3),a11,f10(a3)),f10(f10(a3)))),
% 241.91/242.00     inference(scs_inference,[],[4309,2807,36])).
% 241.91/242.00  cnf(4333,plain,
% 241.91/242.00     (P1(f6(a1,f9(f9(a1,f7(a2,a1,a3),a11,f10(a3)),f7(a2,a1,a3),a11,f10(a3)),f10(a3)),a1,f10(a3))),
% 241.91/242.00     inference(scs_inference,[],[4315,4316,4298,2688,2773,1474,253,33,40,43,36,22,35])).
% 241.91/242.00  cnf(4357,plain,
% 241.91/242.00     (P1(f6(a1,f9(f9(a1,f7(a2,a1,a3),a11,f10(a3)),f7(a2,a1,a3),a11,f10(a3)),f10(a3)),f5(a11,f10(a3)),f10(a3))),
% 241.91/242.00     inference(scs_inference,[],[4333,29,36])).
% 241.91/242.00  cnf(4403,plain,
% 241.91/242.00     (~P2(f9(f9(f8(a2,a1,a3),f7(a2,a1,a3),a11,f10(a3)),f7(a2,a1,a3),a11,f10(a3)),f9(f8(a2,a1,a3),f7(a2,a1,a3),a11,f10(a3)),f10(f10(a3)))),
% 241.91/242.00     inference(scs_inference,[],[4093,4316,33,2,43,44])).
% 241.91/242.00  cnf(4464,plain,
% 241.91/242.00     (~P2(f7(x44641,f7(x44642,f7(a2,a1,a3),a3),a3),f5(a11,f10(a3)),f10(f10(a3)))),
% 241.91/242.00     inference(scs_inference,[],[2591,46,36])).
% 241.91/242.00  cnf(4699,plain,
% 241.91/242.00     (~P1(f6(f9(f9(f8(a2,a1,a3),f7(a2,a1,a3),a11,f10(a3)),f7(a2,a1,a3),a11,f10(a3)),f9(f8(a2,a1,a3),f7(a2,a1,a3),a11,f10(a3)),f10(a3)),f9(f8(a2,a1,a3),f7(a2,a1,a3),a11,f10(a3)),f10(a3))),
% 241.91/242.00     inference(scs_inference,[],[1299,4403,2557,36,37])).
% 241.91/242.00  cnf(4789,plain,
% 241.91/242.00     (~P1(f6(a1,f9(f9(a1,f7(a2,a1,a3),a11,f10(a3)),f7(a2,a1,a3),a11,f10(a3)),f10(a3)),f9(f9(a1,f7(a2,a1,a3),a11,f10(a3)),f7(a2,a1,a3),a11,f10(a3)),f10(a3))),
% 241.91/242.00     inference(scs_inference,[],[4699,2462,752,4315,22,36,37])).
% 241.91/242.00  cnf(4856,plain,
% 241.91/242.00     (~P2(f5(a11,f10(a3)),f9(f9(a1,f7(a2,a1,a3),a11,f10(a3)),f7(a2,a1,a3),a11,f10(a3)),f10(f10(a3)))),
% 241.91/242.00     inference(scs_inference,[],[4357,4789,36])).
% 241.91/242.00  cnf(4867,plain,
% 241.91/242.00     (~P2(f9(f9(f9(a1,f7(a2,a1,a3),a11,f10(a3)),f7(a2,a1,a3),a11,f10(a3)),f7(a2,a1,a3),a11,f10(a3)),f9(f9(a1,f7(a2,a1,a3),a11,f10(a3)),f7(a2,a1,a3),a11,f10(a3)),f10(f10(a3)))),
% 241.91/242.00     inference(scs_inference,[],[4856,2911,33,31,36,44])).
% 241.91/242.00  cnf(5001,plain,
% 241.91/242.00     (~P2(f7(x50011,f9(a1,f7(a2,a1,a3),a11,f10(a3)),a3),a1,f10(f10(a3)))),
% 241.91/242.00     inference(scs_inference,[],[3490,177,36])).
% 241.91/242.00  cnf(5003,plain,
% 241.91/242.00     (~E(f8(a2,f9(a1,f7(a2,a1,a3),a11,f10(a3)),a3),f9(a1,f7(a2,a1,a3),a11,f10(a3)))),
% 241.91/242.00     inference(scs_inference,[],[28,3490,177,390,100,36,39])).
% 241.91/242.00  cnf(5005,plain,
% 241.91/242.00     (P2(f8(a2,f9(a1,f7(a2,a1,a3),a11,f10(a3)),a3),f9(a1,f7(a2,a1,a3),a11,f10(a3)),f10(f10(a3)))),
% 241.91/242.00     inference(scs_inference,[],[28,3490,177,390,100,36,39,41])).
% 241.91/242.00  cnf(5013,plain,
% 241.91/242.00     (~P2(f9(a1,f7(a2,a1,a3),a11,f10(a3)),f8(a2,f9(a1,f7(a2,a1,a3),a11,f10(a3)),a3),f10(f10(a3)))),
% 241.91/242.00     inference(scs_inference,[],[28,3490,177,390,100,36,39,41,2669,2666,2667,2857,994,1958,34])).
% 241.91/242.00  cnf(5025,plain,
% 241.91/242.00     (P1(f8(a2,f9(a1,f7(a2,a1,a3),a11,f10(a3)),a3),f4(a2,a3),f10(f10(a3)))),
% 241.91/242.00     inference(scs_inference,[],[5001,394])).
% 241.91/242.00  cnf(5027,plain,
% 241.91/242.00     (~P2(f7(a2,f8(a2,f9(a1,f7(a2,a1,a3),a11,f10(a3)),a3),a3),f9(a1,f7(a2,a1,a3),a11,f10(a3)),f10(f10(a3)))),
% 241.91/242.00     inference(scs_inference,[],[5001,3730])).
% 241.91/242.00  cnf(5083,plain,
% 241.91/242.00     ($false),
% 241.91/242.00     inference(scs_inference,[],[5027,4867,5003,3773,5013,5025,5005,4856,4464,60,100,31,44,25,26,36,39,42,38]),
% 241.91/242.00     ['proof']).
% 241.91/242.00  % SZS output end Proof
% 241.91/242.00  % Total time :241.230000s
%------------------------------------------------------------------------------