TSTP Solution File: FLD013-3 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : FLD013-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n005.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 : Wed Aug 30 22:26:30 EDT 2023
% Result : Unsatisfiable 3.68s 3.74s
% Output : CNFRefutation 3.77s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : FLD013-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.08/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.14/0.35 % Computer : n005.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 28 00:46:38 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.58 start to proof:theBenchmark
% 3.68/3.74 %-------------------------------------------
% 3.68/3.74 % File :CSE---1.6
% 3.68/3.74 % Problem :theBenchmark
% 3.68/3.74 % Transform :cnf
% 3.68/3.74 % Format :tptp:raw
% 3.68/3.74 % Command :java -jar mcs_scs.jar %d %s
% 3.68/3.74
% 3.68/3.74 % Result :Theorem 3.100000s
% 3.68/3.74 % Output :CNFRefutation 3.100000s
% 3.68/3.74 %-------------------------------------------
% 3.68/3.74 %--------------------------------------------------------------------------
% 3.68/3.74 % File : FLD013-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 3.68/3.74 % Domain : Field Theory (Ordered fields)
% 3.68/3.74 % Problem : The resulting equation of the summation of two equations
% 3.68/3.74 % Version : [Dra93] axioms : Especial.
% 3.68/3.74 % Theorem formulation : Functional with re axiom set.
% 3.68/3.74 % English :
% 3.68/3.74
% 3.68/3.74 % Refs : [Dra93] Draeger (1993), Anwendung des Theorembeweisers SETHEO
% 3.68/3.74 % Source : [Dra93]
% 3.68/3.74 % Names :
% 3.68/3.74
% 3.68/3.74 % Status : Unsatisfiable
% 3.68/3.74 % Rating : 0.00 v5.5.0, 0.12 v5.4.0, 0.20 v5.2.0, 0.00 v5.0.0, 0.07 v4.1.0, 0.00 v4.0.1, 0.20 v4.0.0, 0.14 v3.4.0, 0.25 v3.3.0, 0.33 v3.1.0, 0.17 v2.7.0, 0.00 v2.6.0, 0.33 v2.5.0, 0.20 v2.3.0, 0.33 v2.2.1, 0.67 v2.1.0
% 3.68/3.74 % Syntax : Number of clauses : 33 ( 10 unt; 3 nHn; 33 RR)
% 3.68/3.74 % Number of literals : 84 ( 0 equ; 50 neg)
% 3.68/3.74 % Maximal clause size : 5 ( 2 avg)
% 3.68/3.74 % Maximal term depth : 2 ( 1 avg)
% 3.68/3.74 % Number of predicates : 4 ( 4 usr; 0 prp; 1-3 aty)
% 3.68/3.74 % Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% 3.68/3.74 % Number of variables : 73 ( 0 sgn)
% 3.68/3.74 % SPC : CNF_UNS_RFO_NEQ_NHN
% 3.68/3.74
% 3.68/3.74 % Comments :
% 3.68/3.74 % Bugfixes : v2.1.0 - Bugfix in FLD002-0.ax
% 3.68/3.74 %--------------------------------------------------------------------------
% 3.68/3.74 include('Axioms/FLD002-0.ax').
% 3.68/3.74 %--------------------------------------------------------------------------
% 3.68/3.74 cnf(a_is_defined,hypothesis,
% 3.68/3.74 defined(a) ).
% 3.68/3.74
% 3.68/3.74 cnf(b_is_defined,hypothesis,
% 3.68/3.74 defined(b) ).
% 3.68/3.74
% 3.68/3.74 cnf(c_is_defined,hypothesis,
% 3.68/3.74 defined(c) ).
% 3.68/3.74
% 3.68/3.74 cnf(d_is_defined,hypothesis,
% 3.68/3.74 defined(d) ).
% 3.68/3.74
% 3.68/3.74 cnf(sum_5,negated_conjecture,
% 3.68/3.74 sum(additive_identity,a,b) ).
% 3.68/3.74
% 3.68/3.74 cnf(sum_6,negated_conjecture,
% 3.68/3.74 sum(additive_identity,c,d) ).
% 3.68/3.74
% 3.68/3.74 cnf(not_sum_7,negated_conjecture,
% 3.68/3.74 ~ sum(a,c,add(d,b)) ).
% 3.68/3.74
% 3.68/3.74 %--------------------------------------------------------------------------
% 3.68/3.74 %-------------------------------------------
% 3.68/3.74 % Proof found
% 3.68/3.74 % SZS status Theorem for theBenchmark
% 3.68/3.74 % SZS output start Proof
% 3.68/3.74 %ClaNum:33(EqnAxiom:0)
% 3.68/3.74 %VarNum:162(SingletonVarNum:73)
% 3.68/3.74 %MaxLitNum:5
% 3.68/3.74 %MaxfuncDepth:1
% 3.68/3.74 %SharedTerms:17
% 3.68/3.74 %goalClause: 7 8 10
% 3.68/3.74 %singleGoalClaCount:3
% 3.68/3.74 [1]P1(a1)
% 3.68/3.74 [2]P1(a4)
% 3.68/3.74 [3]P1(a2)
% 3.68/3.74 [4]P1(a5)
% 3.68/3.74 [5]P1(a7)
% 3.68/3.74 [6]P1(a8)
% 3.68/3.74 [7]P2(a1,a2,a5)
% 3.68/3.74 [8]P2(a1,a7,a8)
% 3.68/3.74 [9]~P2(a1,a1,a4)
% 3.68/3.74 [10]~P2(a2,a7,f3(a8,a5))
% 3.68/3.74 [16]~P1(x161)+P2(a1,x161,x161)
% 3.68/3.74 [17]~P1(x171)+P4(a4,x171,x171)
% 3.68/3.74 [11]~P1(x111)+P1(f6(x111))
% 3.68/3.74 [18]~P1(x181)+P2(f6(x181),x181,a1)
% 3.68/3.74 [25]~P2(x252,x251,x253)+P2(x251,x252,x253)
% 3.68/3.75 [26]~P4(x262,x261,x263)+P4(x261,x262,x263)
% 3.68/3.75 [19]~P1(x191)+P2(a1,x191,a1)+P1(f10(x191))
% 3.68/3.75 [23]~P1(x231)+P4(f10(x231),x231,a4)+P2(a1,x231,a1)
% 3.68/3.75 [22]~P3(x222,x221)+~P3(x221,x222)+P2(a1,x221,x222)
% 3.68/3.75 [13]~P1(x132)+~P1(x131)+P1(f3(x131,x132))
% 3.68/3.75 [14]~P1(x142)+~P1(x141)+P1(f9(x141,x142))
% 3.68/3.75 [20]~P1(x202)+~P1(x201)+P2(x201,x202,f3(x201,x202))
% 3.68/3.75 [21]~P1(x212)+~P1(x211)+P4(x211,x212,f9(x211,x212))
% 3.68/3.75 [15]~P3(x151,x153)+P3(x151,x152)+~P3(x153,x152)
% 3.68/3.75 [12]P3(x122,x121)+~P1(x121)+~P1(x122)+P3(x121,x122)
% 3.68/3.75 [24]~P4(x243,x242,x241)+P3(a1,x241)+~P3(a1,x242)+~P3(a1,x243)
% 3.68/3.75 [27]~P2(x273,x275,x271)+P3(x271,x272)+~P2(x274,x275,x272)+~P3(x273,x274)
% 3.68/3.75 [28]~P2(x281,x286,x284)+P2(x281,x282,x283)+~P2(x284,x285,x283)+~P2(x286,x285,x282)
% 3.68/3.75 [29]~P2(x296,x294,x291)+P2(x291,x292,x293)+~P2(x294,x292,x295)+~P2(x296,x295,x293)
% 3.68/3.75 [30]~P4(x301,x306,x304)+P4(x301,x302,x303)+~P4(x304,x305,x303)+~P4(x306,x305,x302)
% 3.68/3.75 [31]~P4(x316,x314,x311)+P4(x311,x312,x313)+~P4(x314,x312,x315)+~P4(x316,x315,x313)
% 3.68/3.75 [32]~P4(x325,x327,x322)+~P4(x324,x327,x321)+P2(x321,x322,x323)+~P2(x324,x325,x326)+~P4(x326,x327,x323)
% 3.68/3.75 [33]~P4(x337,x332,x335)+~P4(x336,x332,x334)+P4(x331,x332,x333)+~P2(x334,x335,x333)+~P2(x336,x337,x331)
% 3.68/3.75 %EqnAxiom
% 3.68/3.75
% 3.68/3.75 %-------------------------------------------
% 3.68/3.75 cnf(34,plain,
% 3.68/3.75 (~P2(a7,a2,f3(a8,a5))),
% 3.68/3.75 inference(scs_inference,[],[10,25])).
% 3.68/3.75 cnf(35,plain,
% 3.68/3.75 (P3(a1,a1)),
% 3.68/3.75 inference(scs_inference,[],[1,10,25,12])).
% 3.68/3.75 cnf(36,plain,
% 3.68/3.75 (P4(a4,a1,a1)),
% 3.68/3.75 inference(scs_inference,[],[1,10,25,12,17])).
% 3.68/3.75 cnf(38,plain,
% 3.68/3.75 (P2(a1,a1,a1)),
% 3.68/3.75 inference(scs_inference,[],[1,10,25,12,17,16])).
% 3.68/3.75 cnf(40,plain,
% 3.68/3.75 (P2(f6(a1),a1,a1)),
% 3.68/3.75 inference(scs_inference,[],[1,10,25,12,17,16,18])).
% 3.68/3.75 cnf(42,plain,
% 3.68/3.75 (P1(f6(a1))),
% 3.68/3.75 inference(scs_inference,[],[1,10,25,12,17,16,18,11])).
% 3.68/3.75 cnf(44,plain,
% 3.68/3.75 (P4(a1,a1,f9(a1,a1))),
% 3.68/3.75 inference(scs_inference,[],[1,10,25,12,17,16,18,11,21])).
% 3.68/3.75 cnf(46,plain,
% 3.68/3.75 (P2(a1,a1,f3(a1,a1))),
% 3.68/3.75 inference(scs_inference,[],[1,10,25,12,17,16,18,11,21,20])).
% 3.68/3.75 cnf(48,plain,
% 3.68/3.75 (P1(f9(a1,a1))),
% 3.68/3.75 inference(scs_inference,[],[1,10,25,12,17,16,18,11,21,20,14])).
% 3.68/3.75 cnf(50,plain,
% 3.68/3.75 (P1(f3(a1,a1))),
% 3.68/3.75 inference(scs_inference,[],[1,10,25,12,17,16,18,11,21,20,14,13])).
% 3.68/3.75 cnf(52,plain,
% 3.68/3.75 (~P4(a4,f9(a1,a1),x521)+P4(a1,a1,x521)),
% 3.68/3.75 inference(scs_inference,[],[1,10,25,12,17,16,18,11,21,20,14,13,31])).
% 3.68/3.75 cnf(54,plain,
% 3.68/3.75 (P4(a4,f9(a1,a1),f9(a1,a1))),
% 3.68/3.75 inference(scs_inference,[],[1,10,25,12,17,16,18,11,21,20,14,13,31,30])).
% 3.68/3.75 cnf(56,plain,
% 3.68/3.75 (~P2(f6(a1),a1,a4)),
% 3.68/3.75 inference(scs_inference,[],[1,9,10,25,12,17,16,18,11,21,20,14,13,31,30,29])).
% 3.68/3.75 cnf(60,plain,
% 3.68/3.75 (P3(a5,a5)),
% 3.68/3.75 inference(scs_inference,[],[7,1,9,10,25,12,17,16,18,11,21,20,14,13,31,30,29,28,27])).
% 3.68/3.75 cnf(62,plain,
% 3.68/3.75 (P3(a1,f9(a1,a1))),
% 3.68/3.75 inference(scs_inference,[],[7,1,9,10,25,12,17,16,18,11,21,20,14,13,31,30,29,28,27,24])).
% 3.68/3.75 cnf(74,plain,
% 3.68/3.75 (P4(f9(a1,a1),a4,f9(a1,a1))),
% 3.68/3.75 inference(scs_inference,[],[54,26])).
% 3.68/3.75 cnf(76,plain,
% 3.68/3.75 (P2(a2,a1,a5)),
% 3.68/3.75 inference(scs_inference,[],[7,54,26,25])).
% 3.68/3.75 cnf(78,plain,
% 3.68/3.75 (P2(a2,a2,f3(a2,a2))),
% 3.68/3.75 inference(scs_inference,[],[7,3,54,26,25,20])).
% 3.68/3.75 cnf(80,plain,
% 3.68/3.75 (P1(f9(a2,a2))),
% 3.68/3.75 inference(scs_inference,[],[7,3,54,26,25,20,14])).
% 3.68/3.75 cnf(82,plain,
% 3.68/3.75 (P3(a8,a8)),
% 3.68/3.75 inference(scs_inference,[],[7,8,3,54,35,26,25,20,14,27])).
% 3.68/3.75 cnf(84,plain,
% 3.68/3.75 (P4(a2,a2,f9(a2,a2))),
% 3.68/3.75 inference(scs_inference,[],[7,8,3,54,35,26,25,20,14,27,21])).
% 3.68/3.75 cnf(86,plain,
% 3.68/3.75 (P1(f3(a2,a2))),
% 3.68/3.75 inference(scs_inference,[],[7,8,3,54,35,26,25,20,14,27,21,13])).
% 3.68/3.75 cnf(90,plain,
% 3.68/3.75 (P2(a1,a5,a5)),
% 3.68/3.75 inference(scs_inference,[],[7,8,3,38,54,35,62,26,25,20,14,27,21,13,15,28])).
% 3.68/3.75 cnf(92,plain,
% 3.68/3.75 (P2(a1,a8,a8)),
% 3.68/3.75 inference(scs_inference,[],[7,8,3,38,54,35,62,26,25,20,14,27,21,13,15,28,22])).
% 3.68/3.75 cnf(94,plain,
% 3.68/3.75 (~P2(a1,f3(a1,a1),a4)),
% 3.68/3.75 inference(scs_inference,[],[7,8,3,9,38,54,35,62,46,26,25,20,14,27,21,13,15,28,22,29])).
% 3.68/3.75 cnf(102,plain,
% 3.68/3.75 (~P3(f9(a1,a1),a2)+~P4(a2,a1,x1021)+~P4(x1022,a4,a4)+P4(x1022,f9(a1,a1),f9(a1,a1))+P2(f9(a1,a1),x1021,f9(a1,a1))),
% 3.68/3.75 inference(scs_inference,[],[7,8,3,9,38,54,35,62,44,46,26,25,20,14,27,21,13,15,28,22,29,24,32,31,30])).
% 3.68/3.75 cnf(104,plain,
% 3.68/3.75 (~P3(f9(a1,a1),a2)+~P4(a2,a1,x1041)+~P4(a2,x1042,a2)+~P4(a1,x1042,a1)+P2(f9(a1,a1),x1041,f9(a1,a1))+P4(a5,x1042,a5)),
% 3.68/3.75 inference(scs_inference,[],[7,8,3,9,38,54,35,62,44,46,26,25,20,14,27,21,13,15,28,22,29,24,32,31,30,33])).
% 3.68/3.75 cnf(106,plain,
% 3.68/3.75 (~P2(a1,f6(a1),a4)),
% 3.68/3.75 inference(scs_inference,[],[56,25])).
% 3.68/3.75 cnf(108,plain,
% 3.68/3.75 (P2(f6(a1),a8,a8)),
% 3.68/3.75 inference(scs_inference,[],[8,40,56,25,28])).
% 3.68/3.75 cnf(110,plain,
% 3.68/3.75 (P2(f9(a1,a1),f9(a1,a1),f9(a1,a1))),
% 3.68/3.75 inference(scs_inference,[],[8,40,56,38,44,25,28,32])).
% 3.68/3.75 cnf(112,plain,
% 3.68/3.75 (P2(a5,a1,a5)),
% 3.68/3.75 inference(scs_inference,[],[8,40,56,76,38,44,25,28,32,29])).
% 3.68/3.75 cnf(114,plain,
% 3.68/3.75 (P3(a7,a7)),
% 3.68/3.75 inference(scs_inference,[],[8,5,40,56,76,38,44,25,28,32,29,12])).
% 3.68/3.75 cnf(116,plain,
% 3.68/3.75 (P4(f3(a1,a1),a1,f9(a1,a1))),
% 3.68/3.75 inference(scs_inference,[],[8,5,40,56,76,46,38,44,25,28,32,29,12,33])).
% 3.68/3.75 cnf(120,plain,
% 3.68/3.75 (~P3(a1,a4)+~P2(a8,x1201,a4)+~P2(a8,x1201,a1)),
% 3.68/3.75 inference(scs_inference,[],[8,5,9,40,56,76,82,46,38,44,25,28,32,29,12,33,22,27])).
% 3.68/3.75 cnf(125,plain,
% 3.68/3.75 (P2(a7,a1,a8)),
% 3.68/3.75 inference(scs_inference,[],[8,25])).
% 3.68/3.75 cnf(127,plain,
% 3.68/3.75 (P2(a1,a7,a7)),
% 3.68/3.76 inference(scs_inference,[],[8,114,25,22])).
% 3.68/3.76 cnf(129,plain,
% 3.68/3.76 (~P2(f6(a1),f3(a1,a1),a4)),
% 3.68/3.76 inference(scs_inference,[],[8,9,114,40,46,25,22,29])).
% 3.68/3.76 cnf(131,plain,
% 3.68/3.76 (~P2(a1,x1311,a2)+~P2(a8,x1311,f3(a8,a5))),
% 3.68/3.76 inference(scs_inference,[],[8,34,9,114,40,46,25,22,29,28])).
% 3.68/3.76 cnf(143,plain,
% 3.68/3.76 (P2(a7,a7,f3(a7,a7))),
% 3.68/3.76 inference(scs_inference,[],[5,129,25,20])).
% 3.68/3.76 cnf(145,plain,
% 3.68/3.76 (P2(a5,f3(a1,a1),a5)),
% 3.68/3.76 inference(scs_inference,[],[5,129,112,46,25,20,28])).
% 3.68/3.76 cnf(149,plain,
% 3.68/3.76 (P2(a1,f3(a1,a1),f3(a1,a1))),
% 3.68/3.76 inference(scs_inference,[],[5,35,129,112,46,25,20,28,27,22])).
% 3.68/3.76 cnf(151,plain,
% 3.68/3.76 (P2(f3(a1,a1),a1,f3(a1,a1))),
% 3.68/3.76 inference(scs_inference,[],[5,35,129,112,46,25,20,28,27,22,29])).
% 3.68/3.76 cnf(153,plain,
% 3.68/3.76 (P4(a4,a7,a7)),
% 3.68/3.76 inference(scs_inference,[],[5,35,129,112,46,25,20,28,27,22,29,17])).
% 3.68/3.76 cnf(155,plain,
% 3.68/3.76 (P1(f6(a7))),
% 3.68/3.76 inference(scs_inference,[],[5,35,129,112,46,25,20,28,27,22,29,17,11])).
% 3.68/3.76 cnf(157,plain,
% 3.68/3.76 (P2(f6(a7),a7,a1)),
% 3.68/3.76 inference(scs_inference,[],[5,35,129,112,46,25,20,28,27,22,29,17,11,18])).
% 3.68/3.76 cnf(159,plain,
% 3.68/3.76 (P2(a1,a4,a4)),
% 3.68/3.76 inference(scs_inference,[],[5,35,2,129,112,46,25,20,28,27,22,29,17,11,18,16])).
% 3.68/3.76 cnf(170,plain,
% 3.68/3.76 (P2(a8,a1,a8)),
% 3.68/3.76 inference(scs_inference,[],[92,25])).
% 3.68/3.76 cnf(172,plain,
% 3.68/3.76 (P2(a8,a8,f3(a8,a8))),
% 3.68/3.76 inference(scs_inference,[],[6,92,25,20])).
% 3.68/3.76 cnf(174,plain,
% 3.68/3.76 (P2(f6(a1),a5,a5)),
% 3.68/3.76 inference(scs_inference,[],[6,90,92,40,25,20,28])).
% 3.68/3.76 cnf(176,plain,
% 3.68/3.76 (P3(f3(a7,a7),f3(a7,a7))),
% 3.68/3.76 inference(scs_inference,[],[6,90,92,143,114,40,25,20,28,27])).
% 3.68/3.76 cnf(178,plain,
% 3.68/3.76 (P2(f9(a1,a1),a1,a1)),
% 3.68/3.76 inference(scs_inference,[],[6,90,92,143,159,36,114,40,44,25,20,28,27,32])).
% 3.68/3.76 cnf(180,plain,
% 3.68/3.76 (P4(a7,a4,a7)),
% 3.68/3.76 inference(scs_inference,[],[6,90,92,143,153,159,36,114,40,44,25,20,28,27,32,26])).
% 3.68/3.76 cnf(182,plain,
% 3.68/3.76 (P1(f9(a8,a8))),
% 3.68/3.76 inference(scs_inference,[],[6,90,92,143,153,159,36,114,40,44,25,20,28,27,32,26,14])).
% 3.68/3.76 cnf(184,plain,
% 3.68/3.76 (P4(a8,a8,f9(a8,a8))),
% 3.68/3.76 inference(scs_inference,[],[6,90,92,143,153,159,36,114,40,44,25,20,28,27,32,26,14,21])).
% 3.68/3.76 cnf(186,plain,
% 3.68/3.76 (P1(f3(a8,a8))),
% 3.68/3.76 inference(scs_inference,[],[6,90,92,143,153,159,36,114,40,44,25,20,28,27,32,26,14,21,13])).
% 3.68/3.76 cnf(190,plain,
% 3.68/3.76 (P2(a8,a7,f3(a7,a7))),
% 3.68/3.76 inference(scs_inference,[],[6,90,125,94,92,127,143,153,159,36,114,40,44,25,20,28,27,32,26,14,21,13,22,29])).
% 3.68/3.76 cnf(195,plain,
% 3.68/3.76 (P4(a5,a5,f9(a5,a5))),
% 3.68/3.76 inference(scs_inference,[],[4,21])).
% 3.68/3.76 cnf(197,plain,
% 3.68/3.76 (P1(f9(a5,a5))),
% 3.68/3.76 inference(scs_inference,[],[4,21,14])).
% 3.68/3.76 cnf(199,plain,
% 3.68/3.76 (P1(f3(a5,a5))),
% 3.68/3.76 inference(scs_inference,[],[4,21,14,13])).
% 3.68/3.76 cnf(203,plain,
% 3.68/3.76 (P2(a1,f3(a7,a7),f3(a7,a7))),
% 3.68/3.76 inference(scs_inference,[],[4,176,157,125,38,21,14,13,28,22])).
% 3.68/3.76 cnf(205,plain,
% 3.68/3.76 (~P2(f9(a1,a1),f3(a1,a1),a4)),
% 3.68/3.76 inference(scs_inference,[],[4,178,176,157,149,125,94,38,21,14,13,28,22,29])).
% 3.68/3.76 cnf(207,plain,
% 3.68/3.76 (P2(a1,f9(a1,a1),a1)),
% 3.68/3.76 inference(scs_inference,[],[4,178,176,157,149,125,94,38,21,14,13,28,22,29,25])).
% 3.68/3.76 cnf(220,plain,
% 3.68/3.76 (P2(a1,f3(a8,a8),f3(a8,a8))),
% 3.68/3.76 inference(scs_inference,[],[205,172,82,25,27,22])).
% 3.68/3.76 cnf(222,plain,
% 3.68/3.76 (P2(f3(a1,a1),f9(a1,a1),f3(a1,a1))),
% 3.68/3.76 inference(scs_inference,[],[151,205,207,172,82,25,27,22,29])).
% 3.68/3.76 cnf(226,plain,
% 3.68/3.76 (P2(a1,a4,a1)+P4(f10(a4),a4,a4)),
% 3.68/3.76 inference(scs_inference,[],[2,151,205,207,172,195,82,25,27,22,29,24,23])).
% 3.68/3.76 cnf(228,plain,
% 3.68/3.76 (P2(a1,a4,a1)+P1(f10(a4))),
% 3.68/3.76 inference(scs_inference,[],[2,151,205,207,172,195,82,25,27,22,29,24,23,19])).
% 3.68/3.76 cnf(244,plain,
% 3.68/3.76 (P2(a4,a4,f3(a4,a4))),
% 3.68/3.76 inference(scs_inference,[],[2,20])).
% 3.68/3.76 cnf(246,plain,
% 3.68/3.76 (P4(f3(a4,a4),a1,a1)),
% 3.68/3.76 inference(scs_inference,[],[2,36,38,20,33])).
% 3.68/3.76 cnf(248,plain,
% 3.68/3.76 (P2(f9(a1,a1),f3(a1,a1),f3(a1,a1))),
% 3.68/3.76 inference(scs_inference,[],[2,36,38,222,20,33,25])).
% 3.68/3.76 cnf(250,plain,
% 3.68/3.76 (~P4(f3(a4,a4),a1,a4)),
% 3.68/3.76 inference(scs_inference,[],[2,36,38,9,222,20,33,25,32])).
% 3.68/3.76 cnf(252,plain,
% 3.68/3.76 (P2(f6(a1),f3(a7,a7),f3(a7,a7))),
% 3.68/3.76 inference(scs_inference,[],[2,36,38,9,222,190,108,20,33,25,32,28])).
% 3.68/3.76 cnf(254,plain,
% 3.68/3.76 (P2(a5,f9(a1,a1),a5)),
% 3.68/3.76 inference(scs_inference,[],[2,36,38,9,222,190,145,108,20,33,25,32,28,29])).
% 3.68/3.76 cnf(256,plain,
% 3.68/3.76 (P1(f6(a4))),
% 3.68/3.76 inference(scs_inference,[],[2,36,38,9,222,190,145,108,20,33,25,32,28,29,11])).
% 3.68/3.76 cnf(258,plain,
% 3.68/3.76 (P2(f6(a4),a4,a1)),
% 3.68/3.76 inference(scs_inference,[],[2,36,38,9,222,190,145,108,20,33,25,32,28,29,11,18])).
% 3.68/3.76 cnf(260,plain,
% 3.68/3.76 (~P4(a1,f3(a4,a4),a4)),
% 3.68/3.76 inference(scs_inference,[],[2,36,38,9,222,190,145,108,20,33,25,32,28,29,11,18,26])).
% 3.68/3.76 cnf(262,plain,
% 3.68/3.76 (P4(a4,a4,a4)),
% 3.68/3.76 inference(scs_inference,[],[2,36,38,9,222,190,145,108,20,33,25,32,28,29,11,18,26,17])).
% 3.68/3.76 cnf(264,plain,
% 3.68/3.76 (P2(a1,a2,a2)),
% 3.68/3.76 inference(scs_inference,[],[2,3,36,38,9,222,190,145,108,20,33,25,32,28,29,11,18,26,17,16])).
% 3.68/3.76 cnf(268,plain,
% 3.68/3.76 (~P2(a8,a2,f3(a8,a5))),
% 3.68/3.76 inference(scs_inference,[],[2,3,36,38,9,222,190,145,108,20,33,25,32,28,29,11,18,26,17,16,12,131])).
% 3.68/3.76 cnf(276,plain,
% 3.68/3.76 (P4(a1,a4,a1)),
% 3.68/3.76 inference(scs_inference,[],[36,26])).
% 3.68/3.76 cnf(278,plain,
% 3.68/3.76 (~P4(a4,a1,a4)),
% 3.68/3.76 inference(scs_inference,[],[36,244,250,159,26,33])).
% 3.68/3.76 cnf(280,plain,
% 3.68/3.76 (~P2(a2,a8,f3(a8,a5))),
% 3.68/3.76 inference(scs_inference,[],[36,244,250,268,159,26,33,25])).
% 3.68/3.76 cnf(282,plain,
% 3.68/3.76 (~P4(a4,a4,f6(a1))),
% 3.68/3.76 inference(scs_inference,[],[36,244,250,268,262,159,106,26,33,25,32])).
% 3.68/3.76 cnf(284,plain,
% 3.68/3.76 (P2(a1,f3(a4,a4),f3(a4,a4))),
% 3.68/3.76 inference(scs_inference,[],[36,244,250,268,262,159,106,26,33,25,32,28])).
% 3.68/3.76 cnf(286,plain,
% 3.68/3.76 (P2(a5,a2,f3(a2,a2))),
% 3.68/3.76 inference(scs_inference,[],[36,244,250,268,262,264,159,106,78,76,26,33,25,32,28,29])).
% 3.68/3.76 cnf(297,plain,
% 3.68/3.76 (~P4(a1,a4,a4)),
% 3.68/3.76 inference(scs_inference,[],[278,26])).
% 3.68/3.76 cnf(301,plain,
% 3.68/3.76 (~P2(a1,a4,f6(a1))),
% 3.68/3.76 inference(scs_inference,[],[35,284,282,276,278,262,159,26,27,33])).
% 3.68/3.76 cnf(303,plain,
% 3.68/3.76 (P2(a1,f6(a1),a1)),
% 3.68/3.76 inference(scs_inference,[],[35,40,284,282,276,278,262,159,26,27,33,25])).
% 3.68/3.76 cnf(305,plain,
% 3.68/3.76 (P2(f6(a1),f3(a8,a8),f3(a8,a8))),
% 3.68/3.76 inference(scs_inference,[],[35,40,220,284,282,276,278,262,159,26,27,33,25,28])).
% 3.68/3.76 cnf(307,plain,
% 3.68/3.76 (P4(a7,a7,f9(a7,a7))),
% 3.68/3.76 inference(scs_inference,[],[35,40,5,220,284,282,276,278,262,159,26,27,33,25,28,21])).
% 3.68/3.76 cnf(309,plain,
% 3.68/3.76 (P1(f9(a7,a7))),
% 3.68/3.76 inference(scs_inference,[],[35,40,5,220,284,282,276,278,262,159,26,27,33,25,28,21,14])).
% 3.68/3.76 cnf(311,plain,
% 3.68/3.76 (P1(f3(a7,a7))),
% 3.68/3.76 inference(scs_inference,[],[35,40,5,220,284,282,276,278,262,159,26,27,33,25,28,21,14,13])).
% 3.68/3.76 cnf(313,plain,
% 3.68/3.76 (P4(f9(a8,a8),x3131,f9(a8,a8))+~P4(a8,x3131,a8)),
% 3.68/3.76 inference(scs_inference,[],[35,40,5,220,284,282,276,278,184,262,159,26,27,33,25,28,21,14,13,31])).
% 3.68/3.76 cnf(323,plain,
% 3.68/3.76 (P4(a1,f3(a4,a4),a1)),
% 3.68/3.76 inference(scs_inference,[],[246,26])).
% 3.68/3.76 cnf(331,plain,
% 3.68/3.76 (P3(a1,f9(f9(a1,a1),f9(a1,a1)))),
% 3.68/3.76 inference(scs_inference,[],[48,246,62,26,21,14,13,24])).
% 3.68/3.76 cnf(335,plain,
% 3.68/3.76 (P4(a8,a4,a8)),
% 3.68/3.76 inference(scs_inference,[],[48,286,246,60,180,125,276,62,26,21,14,13,24,27,33])).
% 3.68/3.76 cnf(337,plain,
% 3.68/3.76 (P4(a4,f9(a7,a7),f9(a7,a7))),
% 3.68/3.76 inference(scs_inference,[],[48,286,307,246,60,153,180,125,276,62,26,21,14,13,24,27,33,30])).
% 3.68/3.76 cnf(341,plain,
% 3.68/3.76 (~P4(a4,a4,a1)),
% 3.68/3.76 inference(scs_inference,[],[9,48,286,301,307,246,60,153,180,125,276,262,62,159,26,21,14,13,24,27,33,30,25,32])).
% 3.68/3.76 cnf(343,plain,
% 3.68/3.76 (P2(a1,f3(a2,a2),f3(a2,a2))),
% 3.68/3.76 inference(scs_inference,[],[9,48,286,301,307,246,60,153,180,125,276,262,62,159,26,21,14,13,24,27,33,30,25,32,22])).
% 3.68/3.76 cnf(345,plain,
% 3.68/3.76 (~P2(a1,a4,a1)),
% 3.68/3.76 inference(scs_inference,[],[38,9,48,286,301,307,246,60,153,180,125,276,262,62,159,26,21,14,13,24,27,33,30,25,32,22,28])).
% 3.68/3.76 cnf(347,plain,
% 3.68/3.76 (~P2(f6(a1),a4,f6(a1))),
% 3.68/3.76 inference(scs_inference,[],[40,38,9,48,286,301,307,246,60,153,180,125,276,262,62,159,26,21,14,13,24,27,33,30,25,32,22,28,29])).
% 3.68/3.76 cnf(361,plain,
% 3.68/3.76 (P4(f10(a4),a4,a4)),
% 3.68/3.76 inference(scs_inference,[],[345,226])).
% 3.68/3.76 cnf(362,plain,
% 3.68/3.76 (P1(f10(a4))),
% 3.68/3.76 inference(scs_inference,[],[345,228])).
% 3.68/3.76 cnf(365,plain,
% 3.68/3.76 (P2(f9(a1,a1),a5,a5)),
% 3.68/3.76 inference(scs_inference,[],[254,323,303,260,159,33,25])).
% 3.68/3.76 cnf(367,plain,
% 3.68/3.76 (~P4(f3(a1,a1),f3(a4,a4),a4)),
% 3.68/3.76 inference(scs_inference,[],[9,254,323,303,260,46,159,33,25,32])).
% 3.68/3.76 cnf(371,plain,
% 3.68/3.76 (~P2(a4,a4,a4)),
% 3.68/3.76 inference(scs_inference,[],[9,254,258,323,303,345,260,46,159,33,25,32,28,29])).
% 3.68/3.76 cnf(373,plain,
% 3.68/3.76 (P2(f6(a5),a5,a1)),
% 3.68/3.76 inference(scs_inference,[],[4,9,254,258,323,303,345,260,46,159,33,25,32,28,29,18])).
% 3.68/3.76 cnf(375,plain,
% 3.68/3.76 (P1(f6(a5))),
% 3.68/3.76 inference(scs_inference,[],[4,9,254,258,323,303,345,260,46,159,33,25,32,28,29,18,11])).
% 3.68/3.76 cnf(377,plain,
% 3.68/3.76 (P4(a4,a5,a5)),
% 3.68/3.76 inference(scs_inference,[],[4,9,254,258,323,303,345,260,46,159,33,25,32,28,29,18,11,17])).
% 3.68/3.76 cnf(379,plain,
% 3.68/3.76 (P2(a1,f6(a1),f6(a1))),
% 3.68/3.76 inference(scs_inference,[],[4,42,9,254,258,323,303,345,260,46,159,33,25,32,28,29,18,11,17,16])).
% 3.68/3.76 cnf(383,plain,
% 3.68/3.76 (P2(a5,a5,f3(a5,a5))),
% 3.68/3.76 inference(scs_inference,[],[4,42,9,254,258,323,303,345,260,46,159,33,25,32,28,29,18,11,17,16,26,20])).
% 3.68/3.76 cnf(392,plain,
% 3.68/3.76 (P4(a4,f10(a4),a4)),
% 3.68/3.76 inference(scs_inference,[],[361,26])).
% 3.68/3.76 cnf(394,plain,
% 3.68/3.76 (P2(f6(a1),f6(a1),f3(f6(a1),f6(a1)))),
% 3.68/3.76 inference(scs_inference,[],[42,361,26,20])).
% 3.68/3.76 cnf(398,plain,
% 3.68/3.76 (P4(f3(a4,a4),a5,f3(a5,a5))),
% 3.68/3.76 inference(scs_inference,[],[42,361,383,377,297,244,26,20,31,33])).
% 3.68/3.76 cnf(400,plain,
% 3.68/3.76 (~P4(a1,f10(a4),f10(a4))),
% 3.68/3.76 inference(scs_inference,[],[42,361,383,377,297,244,26,20,31,33,30])).
% 3.68/3.76 cnf(402,plain,
% 3.68/3.76 (~P2(a4,f6(a1),f6(a1))),
% 3.68/3.76 inference(scs_inference,[],[42,361,383,347,377,297,244,26,20,31,33,30,25])).
% 3.68/3.76 cnf(404,plain,
% 3.68/3.76 (~P2(a1,a1,f10(a4))),
% 3.68/3.76 inference(scs_inference,[],[42,9,361,383,347,377,297,244,276,26,20,31,33,30,25,32])).
% 3.68/3.76 cnf(406,plain,
% 3.68/3.76 (P2(f9(a1,a1),f3(a5,a5),f3(a5,a5))),
% 3.68/3.76 inference(scs_inference,[],[42,9,361,383,347,365,377,297,244,276,26,20,31,33,30,25,32,28])).
% 3.68/3.76 cnf(408,plain,
% 3.68/3.76 (P2(f3(f6(a1),f6(a1)),a1,a1)),
% 3.68/3.76 inference(scs_inference,[],[42,40,9,361,383,347,365,377,297,244,276,26,20,31,33,30,25,32,28,29])).
% 3.68/3.76 cnf(414,plain,
% 3.68/3.76 (~P2(f9(f9(a1,a1),f9(a1,a1)),a1,a4)+~P2(a8,x4141,a1)+~P2(a8,x4141,a4)),
% 3.68/3.76 inference(scs_inference,[],[42,40,38,9,331,361,383,347,365,377,297,244,276,26,20,31,33,30,25,32,28,29,27,22,120])).
% 3.68/3.76 cnf(417,plain,
% 3.68/3.76 (~P4(f3(a4,a4),f3(a1,a1),a4)),
% 3.68/3.76 inference(scs_inference,[],[367,26])).
% 3.68/3.76 cnf(419,plain,
% 3.68/3.76 (P4(f9(a1,a1),f3(a4,a4),f9(a1,a1))),
% 3.68/3.76 inference(scs_inference,[],[44,367,323,26,31])).
% 3.68/3.76 cnf(421,plain,
% 3.68/3.76 (~P2(f9(a1,a1),a1,a4)),
% 3.68/3.76 inference(scs_inference,[],[44,36,367,278,323,159,26,31,33])).
% 3.68/3.76 cnf(423,plain,
% 3.68/3.76 (P2(f3(a5,a5),f9(a1,a1),f3(a5,a5))),
% 3.68/3.76 inference(scs_inference,[],[44,36,406,367,278,323,159,26,31,33,25])).
% 3.68/3.76 cnf(425,plain,
% 3.68/3.76 (P2(f6(a1),f3(a2,a2),f3(a2,a2))),
% 3.68/3.76 inference(scs_inference,[],[44,40,36,406,367,343,278,323,159,26,31,33,25,28])).
% 3.68/3.76 cnf(429,plain,
% 3.68/3.76 (P2(f3(f6(a1),f6(a1)),f3(a8,a8),f3(a8,a8))),
% 3.68/3.76 inference(scs_inference,[],[44,40,36,406,305,367,343,394,392,371,278,323,159,26,31,33,25,28,32,29])).
% 3.68/3.76 cnf(443,plain,
% 3.68/3.76 (P4(f3(a4,a4),f9(a1,a1),f9(a1,a1))),
% 3.68/3.76 inference(scs_inference,[],[42,419,21,26])).
% 3.68/3.76 cnf(447,plain,
% 3.68/3.76 (~P2(a1,f9(a1,a1),a4)),
% 3.68/3.76 inference(scs_inference,[],[42,36,419,421,278,361,21,26,31,25])).
% 3.68/3.76 cnf(449,plain,
% 3.68/3.76 (~P2(a1,a4,f3(a1,a1))),
% 3.68/3.76 inference(scs_inference,[],[42,40,36,419,421,129,278,361,159,21,26,31,25,28])).
% 3.68/3.76 cnf(451,plain,
% 3.68/3.76 (~P2(f10(a4),f10(a4),f10(a4))),
% 3.68/3.76 inference(scs_inference,[],[42,40,36,419,421,129,371,278,361,159,21,26,31,25,28,32])).
% 3.68/3.76 cnf(453,plain,
% 3.68/3.76 (P4(f9(a8,a8),a4,f9(a8,a8))),
% 3.68/3.76 inference(scs_inference,[],[42,40,36,419,421,129,335,371,278,361,159,21,26,31,25,28,32,313])).
% 3.68/3.76 cnf(463,plain,
% 3.68/3.76 (~P4(x4631,f3(a4,a4),f3(a4,a4))+P4(x4631,f3(a5,a5),f3(a5,a5))),
% 3.68/3.76 inference(scs_inference,[],[42,40,36,419,421,129,398,335,371,278,361,159,21,26,31,25,28,32,313,14,13,33,102,30])).
% 3.68/3.76 cnf(479,plain,
% 3.68/3.76 (~P4(a1,a4,f10(a4))),
% 3.68/3.76 inference(scs_inference,[],[35,400,86,379,392,276,13,21,14,26,27,31])).
% 3.68/3.76 cnf(481,plain,
% 3.68/3.76 (P4(f3(a1,a1),f3(a4,a4),f3(a1,a1))),
% 3.68/3.76 inference(scs_inference,[],[35,46,400,86,379,392,323,276,13,21,14,26,27,31,33])).
% 3.68/3.76 cnf(483,plain,
% 3.68/3.76 (P2(f3(a8,a8),f3(f6(a1),f6(a1)),f3(a8,a8))),
% 3.68/3.76 inference(scs_inference,[],[35,46,400,429,86,379,392,323,276,13,21,14,26,27,31,33,25])).
% 3.68/3.76 cnf(485,plain,
% 3.68/3.76 (~P4(a4,f10(a4),a1)),
% 3.68/3.76 inference(scs_inference,[],[35,46,341,400,429,86,379,392,323,262,276,13,21,14,26,27,31,33,25,30])).
% 3.68/3.76 cnf(487,plain,
% 3.68/3.76 (P2(f6(a1),f3(a1,a1),f3(a1,a1))),
% 3.68/3.76 inference(scs_inference,[],[35,46,40,341,400,429,86,379,392,323,262,276,13,21,14,26,27,31,33,25,30,28])).
% 3.68/3.76 cnf(489,plain,
% 3.68/3.76 (~P2(a7,a4,a7)),
% 3.68/3.76 inference(scs_inference,[],[35,46,40,341,400,429,86,379,157,392,345,323,262,276,13,21,14,26,27,31,33,25,30,28,29])).
% 3.68/3.76 cnf(491,plain,
% 3.68/3.76 (P2(f6(a8),a8,a1)),
% 3.68/3.76 inference(scs_inference,[],[6,35,46,40,341,400,429,86,379,157,392,345,323,262,276,13,21,14,26,27,31,33,25,30,28,29,18])).
% 3.68/3.76 cnf(493,plain,
% 3.68/3.76 (P4(a4,a8,a8)),
% 3.68/3.76 inference(scs_inference,[],[6,35,46,40,341,400,429,86,379,157,392,345,323,262,276,13,21,14,26,27,31,33,25,30,28,29,18,17])).
% 3.68/3.76 cnf(495,plain,
% 3.68/3.76 (P2(a1,f9(a5,a5),f9(a5,a5))),
% 3.68/3.76 inference(scs_inference,[],[6,35,46,40,341,400,429,86,197,379,157,392,345,323,262,276,13,21,14,26,27,31,33,25,30,28,29,18,17,16])).
% 3.68/3.76 cnf(499,plain,
% 3.68/3.76 (P1(f6(a8))),
% 3.68/3.76 inference(scs_inference,[],[6,35,46,40,341,400,429,86,197,379,447,157,392,345,323,262,276,13,21,14,26,27,31,33,25,30,28,29,18,17,16,22,11])).
% 3.68/3.76 cnf(505,plain,
% 3.68/3.76 (P4(f3(a4,a4),f3(a1,a1),f3(a1,a1))),
% 3.68/3.76 inference(scs_inference,[],[481,26])).
% 3.68/3.76 cnf(509,plain,
% 3.68/3.76 (P4(f3(a8,a8),a4,f3(a8,a8))),
% 3.68/3.76 inference(scs_inference,[],[35,481,495,172,335,26,27,33])).
% 3.68/3.76 cnf(511,plain,
% 3.68/3.76 (~P4(a4,a1,f10(a4))),
% 3.68/3.76 inference(scs_inference,[],[35,36,481,495,479,172,335,276,26,27,33,31])).
% 3.68/3.76 cnf(513,plain,
% 3.68/3.76 (~P4(a1,f3(a4,a4),f10(a4))),
% 3.68/3.76 inference(scs_inference,[],[35,36,481,495,479,485,172,335,323,276,26,27,33,31,30])).
% 3.68/3.76 cnf(515,plain,
% 3.68/3.76 (~P2(a4,a1,f3(a1,a1))),
% 3.68/3.76 inference(scs_inference,[],[35,36,481,495,449,479,485,172,335,323,276,26,27,33,31,30,25])).
% 3.68/3.76 cnf(517,plain,
% 3.68/3.76 (~P2(a4,a1,a1)),
% 3.68/3.76 inference(scs_inference,[],[35,36,481,495,402,449,479,485,379,172,335,323,276,26,27,33,31,30,25,28])).
% 3.68/3.76 cnf(519,plain,
% 3.68/3.76 (P2(f3(f6(a1),f6(a1)),f3(a2,a2),f3(a2,a2))),
% 3.68/3.76 inference(scs_inference,[],[35,36,481,425,495,402,449,479,485,379,394,172,335,323,276,26,27,33,31,30,25,28,29])).
% 3.68/3.76 cnf(521,plain,
% 3.68/3.76 (P2(f3(a8,a8),f3(a8,a8),f3(f3(a8,a8),f3(a8,a8)))),
% 3.68/3.76 inference(scs_inference,[],[35,36,481,425,186,495,402,449,479,485,379,394,172,335,323,276,26,27,33,31,30,25,28,29,20])).
% 3.68/3.76 cnf(529,plain,
% 3.68/3.76 (P2(f9(a1,a1),f9(a1,a1),f3(f9(a1,a1),f9(a1,a1)))),
% 3.68/3.76 inference(scs_inference,[],[48,20])).
% 3.68/3.76 cnf(535,plain,
% 3.68/3.76 (P4(f3(a4,a4),a8,f3(a8,a8))),
% 3.68/3.76 inference(scs_inference,[],[48,309,513,493,172,244,20,21,26,33])).
% 3.68/3.76 cnf(537,plain,
% 3.68/3.76 (P4(f9(a8,a8),f10(a4),f9(a8,a8))),
% 3.68/3.76 inference(scs_inference,[],[48,453,309,513,493,172,244,392,20,21,26,33,31])).
% 3.68/3.76 cnf(539,plain,
% 3.68/3.76 (P4(a4,f9(a8,a8),f9(a8,a8))),
% 3.68/3.76 inference(scs_inference,[],[48,453,309,513,493,172,184,244,392,20,21,26,33,31,30])).
% 3.68/3.76 cnf(543,plain,
% 3.68/3.76 (~P2(f3(f6(a1),f6(a1)),f3(a1,a1),a4)),
% 3.68/3.77 inference(scs_inference,[],[48,519,453,487,309,513,493,129,394,172,184,244,392,20,21,26,33,31,30,25,28])).
% 3.68/3.77 cnf(545,plain,
% 3.68/3.77 (~P4(a1,x5451,f10(a4))),
% 3.68/3.77 inference(scs_inference,[],[48,38,519,453,451,487,309,513,493,129,394,172,184,244,392,20,21,26,33,31,30,25,28,32])).
% 3.68/3.77 cnf(547,plain,
% 3.68/3.77 (~P2(f6(a5),a5,a4)),
% 3.68/3.77 inference(scs_inference,[],[9,48,38,519,453,451,487,309,373,513,493,112,129,394,172,184,244,392,20,21,26,33,31,30,25,28,32,29])).
% 3.68/3.77 cnf(549,plain,
% 3.68/3.77 (~P4(a4,f9(a1,a1),f10(a4))),
% 3.68/3.77 inference(scs_inference,[],[9,48,38,519,453,451,487,309,373,513,493,112,129,394,172,184,244,392,20,21,26,33,31,30,25,28,32,29,52])).
% 3.68/3.77 cnf(555,plain,
% 3.68/3.77 (P4(f10(a4),f9(a8,a8),f9(a8,a8))),
% 3.68/3.77 inference(scs_inference,[],[537,26])).
% 3.68/3.77 cnf(557,plain,
% 3.68/3.77 (~P2(f9(a1,a1),a1,f10(a4))),
% 3.68/3.77 inference(scs_inference,[],[44,36,511,537,159,26,33])).
% 3.68/3.77 cnf(559,plain,
% 3.68/3.77 (~P4(f3(a4,a4),f9(a1,a1),f10(a4))),
% 3.68/3.77 inference(scs_inference,[],[44,36,511,537,545,246,159,26,33,31])).
% 3.68/3.77 cnf(562,plain,
% 3.68/3.77 (~P2(f3(a1,a1),f3(f6(a1),f6(a1)),a4)),
% 3.68/3.77 inference(scs_inference,[],[44,36,511,537,543,545,246,159,26,33,31,25])).
% 3.68/3.77 cnf(564,plain,
% 3.68/3.77 (~P2(a5,a4,a5)),
% 3.68/3.77 inference(scs_inference,[],[44,36,511,537,543,545,547,373,246,159,26,33,31,25,28])).
% 3.68/3.77 cnf(578,plain,
% 3.68/3.77 (~P2(f9(f9(a1,a1),f9(a1,a1)),a1,a4)+~P4(f6(a1),a1,x5781)+P2(x5781,f9(a1,a1),f9(a1,a1))),
% 3.68/3.77 inference(scs_inference,[],[48,44,46,38,40,36,443,511,537,311,543,545,547,404,373,449,246,331,159,26,33,31,25,28,29,27,22,23,12,30,32])).
% 3.68/3.77 cnf(580,plain,
% 3.68/3.77 (~P4(f9(a1,a1),a4,f10(a4))),
% 3.68/3.77 inference(scs_inference,[],[549,26])).
% 3.68/3.77 cnf(582,plain,
% 3.68/3.77 (~P2(f9(a1,a1),f9(a1,a1),f10(a4))),
% 3.68/3.77 inference(scs_inference,[],[38,44,549,545,26,33])).
% 3.68/3.77 cnf(585,plain,
% 3.68/3.77 (~P4(f9(a1,a1),f3(a4,a4),f10(a4))),
% 3.68/3.77 inference(scs_inference,[],[38,44,549,545,419,54,26,33,30])).
% 3.68/3.77 cnf(587,plain,
% 3.68/3.77 (P2(a8,f6(a8),a1)),
% 3.68/3.77 inference(scs_inference,[],[38,44,549,491,545,419,54,26,33,30,25])).
% 3.68/3.77 cnf(589,plain,
% 3.68/3.77 (P2(f3(a5,a5),f3(f9(a1,a1),f9(a1,a1)),f3(a5,a5))),
% 3.68/3.77 inference(scs_inference,[],[38,44,529,423,549,491,545,419,54,26,33,30,25,28])).
% 3.68/3.77 cnf(591,plain,
% 3.68/3.77 (P2(f3(a8,a8),a1,f3(a8,a8))),
% 3.68/3.77 inference(scs_inference,[],[38,44,529,423,549,491,545,419,170,172,54,26,33,30,25,28,29])).
% 3.68/3.77 cnf(595,plain,
% 3.68/3.77 (P2(f6(f3(a1,a1)),f3(a1,a1),a1)),
% 3.68/3.77 inference(scs_inference,[],[50,38,44,529,423,549,491,545,419,170,172,54,26,33,30,25,28,29,414,18])).
% 3.68/3.77 cnf(597,plain,
% 3.68/3.77 (P2(a1,f9(a1,a1),f9(a1,a1))),
% 3.68/3.77 inference(scs_inference,[],[50,48,38,44,529,423,549,491,545,419,170,172,54,26,33,30,25,28,29,414,18,16])).
% 3.68/3.77 cnf(599,plain,
% 3.68/3.77 (P4(a4,f3(a1,a1),f3(a1,a1))),
% 3.68/3.77 inference(scs_inference,[],[50,48,38,44,529,423,549,491,545,419,170,172,54,26,33,30,25,28,29,414,18,16,17])).
% 3.68/3.77 cnf(607,plain,
% 3.68/3.77 (P3(f9(a1,a1),f9(a1,a1))),
% 3.68/3.77 inference(scs_inference,[],[50,48,38,44,529,423,549,491,545,419,170,172,54,26,33,30,25,28,29,414,18,16,17,11,13,14,12])).
% 3.68/3.77 cnf(619,plain,
% 3.68/3.77 (P4(a4,f3(a8,a8),f3(a8,a8))),
% 3.68/3.77 inference(scs_inference,[],[509,80,13,14,26])).
% 3.68/3.77 cnf(621,plain,
% 3.68/3.77 (~P4(f10(a4),a4,a1)),
% 3.68/3.77 inference(scs_inference,[],[36,509,80,341,392,13,14,26,31])).
% 3.68/3.77 cnf(623,plain,
% 3.68/3.77 (P4(f3(a7,a7),a4,f3(a7,a7))),
% 3.68/3.77 inference(scs_inference,[],[36,509,80,341,143,180,392,13,14,26,31,33])).
% 3.68/3.77 cnf(628,plain,
% 3.68/3.77 (P2(f6(a1),f9(a1,a1),f9(a1,a1))),
% 3.68/3.77 inference(scs_inference,[],[40,44,36,509,597,80,341,545,143,180,392,13,14,26,31,33,30,28])).
% 3.68/3.77 cnf(630,plain,
% 3.68/3.77 (~P2(a1,f9(a1,a1),f10(a4))),
% 3.68/3.77 inference(scs_inference,[],[40,44,36,557,509,597,80,341,545,143,180,392,13,14,26,31,33,30,28,25])).
% 3.68/3.77 cnf(634,plain,
% 3.68/3.77 (P2(f3(a1,a1),f9(a1,a1),f9(a1,a1))),
% 3.68/3.77 inference(scs_inference,[],[40,46,44,36,557,509,582,597,80,341,545,143,180,392,13,14,26,31,33,30,28,25,32,29])).
% 3.68/3.77 cnf(644,plain,
% 3.68/3.77 (~P4(x6441,a1,f10(a4))),
% 3.68/3.77 inference(scs_inference,[],[607,406,545,27,26])).
% 3.68/3.77 cnf(646,plain,
% 3.68/3.77 (P4(f9(a7,a7),a4,f9(a7,a7))),
% 3.68/3.77 inference(scs_inference,[],[607,406,307,545,180,27,26,31])).
% 3.68/3.77 cnf(648,plain,
% 3.68/3.77 (P4(f10(a4),f9(a1,a1),f9(a1,a1))),
% 3.68/3.77 inference(scs_inference,[],[54,607,406,307,545,180,361,27,26,31,30])).
% 3.68/3.77 cnf(650,plain,
% 3.68/3.77 (~P2(f3(a1,a1),f9(a1,a1),f10(a4))),
% 3.68/3.77 inference(scs_inference,[],[54,634,630,607,406,149,307,545,180,361,27,26,31,30,28])).
% 3.68/3.77 cnf(654,plain,
% 3.68/3.77 (P2(a1,f3(a5,a5),f3(a5,a5))),
% 3.68/3.77 inference(scs_inference,[],[54,589,634,630,607,406,149,307,545,180,361,27,26,31,30,28,25,22])).
% 3.68/3.77 cnf(656,plain,
% 3.68/3.77 (~P2(f10(a4),a1,a1)),
% 3.68/3.77 inference(scs_inference,[],[54,589,634,517,630,607,406,149,307,545,180,276,361,27,26,31,30,28,25,22,32])).
% 3.68/3.77 cnf(660,plain,
% 3.68/3.77 (P2(f3(a1,a1),f3(a1,a1),f3(f3(a1,a1),f3(a1,a1)))),
% 3.68/3.77 inference(scs_inference,[],[54,50,46,589,634,517,595,630,607,406,149,307,545,180,276,361,27,26,31,30,28,25,22,32,29,20])).
% 3.68/3.77 cnf(675,plain,
% 3.68/3.77 (P4(f9(a1,a1),f10(a4),f9(a1,a1))),
% 3.68/3.77 inference(scs_inference,[],[648,155,20,21,26])).
% 3.68/3.77 cnf(677,plain,
% 3.68/3.77 (~P4(f3(a1,a1),f9(a1,a1),f10(a4))),
% 3.68/3.77 inference(scs_inference,[],[44,648,155,644,116,20,21,26,31])).
% 3.68/3.77 cnf(680,plain,
% 3.68/3.77 (~P2(f3(a1,a1),f3(a1,a1),a4)),
% 3.68/3.77 inference(scs_inference,[],[44,417,648,599,155,644,116,244,20,21,26,31,33])).
% 3.68/3.77 cnf(682,plain,
% 3.68/3.77 (~P2(f3(f3(a1,a1),f3(a1,a1)),f9(a1,a1),f10(a4))),
% 3.68/3.77 inference(scs_inference,[],[44,660,417,648,650,599,155,644,634,116,244,20,21,26,31,33,28])).
% 3.68/3.77 cnf(686,plain,
% 3.68/3.77 (~P4(a1,x6861,a4)),
% 3.68/3.77 inference(scs_inference,[],[38,44,660,417,648,489,650,599,155,644,634,371,116,244,20,21,26,31,33,28,25,32])).
% 3.68/3.77 cnf(688,plain,
% 3.68/3.77 (~P2(a1,f3(f6(a1),f6(a1)),a4)),
% 3.68/3.77 inference(scs_inference,[],[38,46,44,660,417,648,489,650,599,562,155,644,634,371,116,244,159,20,21,26,31,33,28,25,32,29])).
% 3.68/3.77 cnf(692,plain,
% 3.68/3.77 (~P4(a4,f9(a1,a1),a4)),
% 3.68/3.77 inference(scs_inference,[],[54,38,46,44,660,417,648,559,489,650,599,562,155,644,634,371,116,244,159,20,21,26,31,33,28,25,32,29,30,52])).
% 3.68/3.77 cnf(696,plain,
% 3.68/3.77 (~P4(f9(a1,a1),a4,a4)),
% 3.68/3.77 inference(scs_inference,[],[692,26])).
% 3.68/3.77 cnf(698,plain,
% 3.68/3.77 (~P4(f6(a4),a4,a1)),
% 3.68/3.77 inference(scs_inference,[],[692,686,258,262,159,26,33])).
% 3.68/3.77 cnf(701,plain,
% 3.68/3.77 (~P4(a4,a4,f9(a1,a1))),
% 3.68/3.77 inference(scs_inference,[],[692,686,258,262,159,26,33,30])).
% 3.68/3.77 cnf(703,plain,
% 3.68/3.77 (P2(a1,f3(a1,a1),f3(f3(a1,a1),f3(a1,a1)))),
% 3.68/3.77 inference(scs_inference,[],[46,692,686,660,258,149,262,159,26,33,30,28])).
% 3.68/3.77 cnf(705,plain,
% 3.68/3.77 (P2(a1,f3(f6(a1),f6(a1)),a1)),
% 3.68/3.77 inference(scs_inference,[],[46,692,686,408,660,258,149,262,159,26,33,30,28,25])).
% 3.68/3.77 cnf(707,plain,
% 3.68/3.77 (~P4(f3(f9(a1,a1),f9(a1,a1)),f10(a4),f10(a4))),
% 3.68/3.77 inference(scs_inference,[],[46,692,675,686,408,529,582,660,258,149,262,159,26,33,30,28,25,32])).
% 3.68/3.77 cnf(711,plain,
% 3.68/3.77 (P2(a1,f9(a8,a8),f9(a8,a8))),
% 3.68/3.77 inference(scs_inference,[],[46,692,675,182,686,408,529,582,660,258,587,149,345,262,159,26,33,30,28,25,32,29,16])).
% 3.68/3.77 cnf(713,plain,
% 3.68/3.77 (P4(a4,f6(a1),f6(a1))),
% 3.68/3.77 inference(scs_inference,[],[42,46,692,675,182,686,408,529,582,660,258,587,149,345,262,159,26,33,30,28,25,32,29,16,17])).
% 3.68/3.77 cnf(717,plain,
% 3.68/3.77 (P2(f6(f6(a1)),f6(a1),a1)),
% 3.68/3.77 inference(scs_inference,[],[42,46,692,675,182,686,408,529,582,660,258,587,149,345,262,159,26,33,30,28,25,32,29,16,17,11,18])).
% 3.68/3.77 cnf(727,plain,
% 3.68/3.77 (P4(f3(a7,a7),f10(a4),f3(a7,a7))),
% 3.68/3.77 inference(scs_inference,[],[623,392,26,31])).
% 3.68/3.77 cnf(731,plain,
% 3.68/3.77 (~P4(f10(a4),f6(a1),a4)),
% 3.68/3.77 inference(scs_inference,[],[623,713,696,282,392,262,276,159,26,31,33,30])).
% 3.68/3.77 cnf(733,plain,
% 3.68/3.77 (~P2(f10(a4),f6(a1),f6(a1))),
% 3.68/3.77 inference(scs_inference,[],[40,623,713,696,656,282,392,262,276,159,26,31,33,30,28])).
% 3.68/3.77 cnf(735,plain,
% 3.68/3.77 (~P2(f9(a1,a1),f3(f3(a1,a1),f3(a1,a1)),f10(a4))),
% 3.68/3.77 inference(scs_inference,[],[40,623,682,713,696,656,282,392,262,276,159,26,31,33,30,28,25])).
% 3.68/3.77 cnf(755,plain,
% 3.68/3.77 (P4(f3(a4,a4),f3(a8,a8),f3(f3(a8,a8),f3(a8,a8)))),
% 3.68/3.77 inference(scs_inference,[],[521,677,362,619,244,13,14,26,33])).
% 3.68/3.77 cnf(757,plain,
% 3.68/3.77 (P4(f9(a7,a7),f10(a4),f9(a7,a7))),
% 3.68/3.77 inference(scs_inference,[],[521,677,646,362,619,244,392,13,14,26,33,31])).
% 3.68/3.77 cnf(759,plain,
% 3.68/3.77 (~P4(f9(a1,a1),a1,a4)),
% 3.68/3.77 inference(scs_inference,[],[44,521,677,646,362,619,686,244,392,13,14,26,33,31,30])).
% 3.68/3.77 cnf(762,plain,
% 3.68/3.77 (P2(f6(f6(a1)),f3(a7,a7),f3(a7,a7))),
% 3.68/3.77 inference(scs_inference,[],[44,521,677,646,362,717,619,252,686,203,244,392,13,14,26,33,31,30,28])).
% 3.68/3.77 cnf(764,plain,
% 3.68/3.77 (P2(f9(a8,a8),a1,f9(a8,a8))),
% 3.68/3.77 inference(scs_inference,[],[44,711,521,677,646,362,717,619,252,686,203,244,392,13,14,26,33,31,30,28,25])).
% 3.68/3.77 cnf(768,plain,
% 3.68/3.77 (~P4(f3(f6(a1),f6(a1)),a4,x7681)+P2(f3(a8,a8),x7681,f3(a8,a8))),
% 3.68/3.77 inference(scs_inference,[],[46,44,711,521,677,646,703,680,362,717,483,619,252,509,686,203,244,392,13,14,26,33,31,30,28,25,29,32])).
% 3.68/3.77 cnf(772,plain,
% 3.68/3.77 (P3(f10(a4),f10(a4))),
% 3.68/3.77 inference(scs_inference,[],[50,46,44,711,521,677,646,703,680,362,717,483,619,252,509,686,203,244,392,13,14,26,33,31,30,28,25,29,32,23,12])).
% 3.68/3.77 cnf(778,plain,
% 3.68/3.77 (P4(f3(a4,a4),a7,f3(a7,a7))),
% 3.68/3.77 inference(scs_inference,[],[755,580,648,153,74,143,244,26,31,33])).
% 3.68/3.77 cnf(780,plain,
% 3.68/3.77 (~P4(f9(a1,a1),f10(a4),f10(a4))),
% 3.68/3.77 inference(scs_inference,[],[755,580,443,559,648,675,153,74,143,244,26,31,33,30])).
% 3.68/3.77 cnf(782,plain,
% 3.68/3.77 (P2(a1,f10(a4),f10(a4))),
% 3.68/3.77 inference(scs_inference,[],[755,580,772,443,559,648,675,153,74,143,244,26,31,33,30,22])).
% 3.68/3.77 cnf(784,plain,
% 3.68/3.77 (~P2(f3(a1,a1),f3(a1,a1),f10(a4))),
% 3.68/3.77 inference(scs_inference,[],[755,580,772,735,248,443,559,648,660,675,153,74,143,244,26,31,33,30,22,28])).
% 3.68/3.77 cnf(788,plain,
% 3.68/3.77 (~P2(f9(a1,a1),a4,f9(a1,a1))),
% 3.68/3.77 inference(scs_inference,[],[755,580,772,735,733,564,248,443,559,648,254,660,675,153,74,143,244,26,31,33,30,22,28,25,29])).
% 3.68/3.77 cnf(790,plain,
% 3.68/3.77 (P2(f6(a5),f6(a5),f3(f6(a5),f6(a5)))),
% 3.68/3.77 inference(scs_inference,[],[755,580,772,735,375,733,564,248,443,559,648,254,660,675,153,74,143,244,26,31,33,30,22,28,25,29,20])).
% 3.68/3.77 cnf(794,plain,
% 3.68/3.77 (~P4(f6(f6(a1)),f10(a4),x7941)+P2(x7941,f3(a7,a7),f3(a7,a7))),
% 3.68/3.77 inference(scs_inference,[],[755,580,762,772,735,375,733,564,248,727,443,559,648,254,660,675,153,74,143,244,26,31,33,30,22,28,25,29,20,21,32])).
% 3.68/3.77 cnf(798,plain,
% 3.68/3.77 (P3(f6(a5),f6(a5))),
% 3.68/3.77 inference(scs_inference,[],[755,580,762,772,735,375,733,564,248,727,443,559,648,254,660,675,153,74,143,323,244,26,31,33,30,22,28,25,29,20,21,32,104,12])).
% 3.68/3.77 cnf(801,plain,
% 3.68/3.77 (P2(f6(a8),f6(a8),f3(f6(a8),f6(a8)))),
% 3.68/3.77 inference(scs_inference,[],[499,20])).
% 3.68/3.77 cnf(807,plain,
% 3.68/3.77 (~P4(f10(a4),a4,f3(f6(a1),f6(a1)))),
% 3.68/3.77 inference(scs_inference,[],[782,621,707,499,705,276,20,21,26,33])).
% 3.68/3.77 cnf(809,plain,
% 3.68/3.77 (~P4(a4,f10(a4),f6(a1))),
% 3.68/3.77 inference(scs_inference,[],[782,621,707,499,731,705,392,276,361,20,21,26,33,30])).
% 3.68/3.77 cnf(811,plain,
% 3.68/3.77 (P2(f9(a8,a8),f3(a1,a1),f9(a8,a8))),
% 3.68/3.77 inference(scs_inference,[],[46,764,782,621,707,499,731,705,392,276,361,20,21,26,33,30,28])).
% 3.68/3.77 cnf(813,plain,
% 3.68/3.77 (P2(f10(a4),a1,f10(a4))),
% 3.68/3.77 inference(scs_inference,[],[46,764,782,621,707,499,731,705,392,276,361,20,21,26,33,30,28,25])).
% 3.68/3.77 cnf(815,plain,
% 3.68/3.77 (~P4(f6(a1),f3(a4,a4),f10(a4))),
% 3.68/3.77 inference(scs_inference,[],[40,46,764,782,621,707,499,731,705,656,323,392,276,361,20,21,26,33,30,28,25,32])).
% 3.68/3.77 cnf(817,plain,
% 3.68/3.77 (P2(f3(a1,a1),f3(f6(a1),f6(a1)),f3(a1,a1))),
% 3.68/3.77 inference(scs_inference,[],[40,46,764,782,621,707,499,731,705,656,323,392,276,361,20,21,26,33,30,28,25,32,29])).
% 3.68/3.77 cnf(819,plain,
% 3.68/3.77 (P4(a4,f6(a8),f6(a8))),
% 3.68/3.77 inference(scs_inference,[],[40,46,764,782,621,707,499,731,705,656,323,392,276,361,20,21,26,33,30,28,25,32,29,17])).
% 3.68/3.77 cnf(823,plain,
% 3.68/3.77 (P2(f6(f9(a1,a1)),f9(a1,a1),a1)),
% 3.68/3.77 inference(scs_inference,[],[40,48,46,764,782,621,707,499,731,705,656,323,392,276,361,20,21,26,33,30,28,25,32,29,17,11,18])).
% 3.68/3.77 cnf(825,plain,
% 3.68/3.77 (P2(a1,f6(a8),f6(a8))),
% 3.68/3.77 inference(scs_inference,[],[40,48,46,764,782,621,707,499,731,705,656,323,392,276,361,20,21,26,33,30,28,25,32,29,17,11,18,16])).
% 3.68/3.77 cnf(839,plain,
% 3.68/3.77 (~P4(f3(a4,a4),a1,f6(a4))),
% 3.68/3.77 inference(scs_inference,[],[778,698,246,276,26,31])).
% 3.68/3.77 cnf(841,plain,
% 3.68/3.77 (~P4(f10(a4),a4,f6(a1))),
% 3.68/3.77 inference(scs_inference,[],[40,778,813,698,621,246,276,26,31,33])).
% 3.68/3.77 cnf(843,plain,
% 3.68/3.77 (P2(a1,f6(a5),f6(a5))),
% 3.68/3.77 inference(scs_inference,[],[40,778,813,698,798,621,246,276,26,31,33,22])).
% 3.68/3.77 cnf(845,plain,
% 3.68/3.77 (~P4(f10(a4),f10(a4),f9(a1,a1))),
% 3.68/3.77 inference(scs_inference,[],[40,778,813,698,798,621,692,246,392,276,26,31,33,22,30])).
% 3.68/3.77 cnf(847,plain,
% 3.68/3.77 (P2(f6(a1),f6(a8),f6(a8))),
% 3.68/3.77 inference(scs_inference,[],[40,778,813,825,698,798,621,692,246,392,276,26,31,33,22,30,28])).
% 3.68/3.77 cnf(849,plain,
% 3.68/3.77 (~P2(a4,f9(a1,a1),f9(a1,a1))),
% 3.68/3.77 inference(scs_inference,[],[40,788,778,813,825,698,798,621,692,246,392,276,26,31,33,22,30,28,25])).
% 3.68/3.77 cnf(851,plain,
% 3.68/3.77 (~P2(f10(a4),f6(a1),f9(a1,a1))),
% 3.68/3.77 inference(scs_inference,[],[40,788,778,813,825,698,798,557,621,692,246,392,276,26,31,33,22,30,28,25,29])).
% 3.68/3.77 cnf(853,plain,
% 3.68/3.77 (~P4(f6(a1),a1,a4)),
% 3.68/3.77 inference(scs_inference,[],[40,44,788,778,813,825,698,798,557,621,692,246,392,276,26,31,33,22,30,28,25,29,32])).
% 3.68/3.77 cnf(859,plain,
% 3.68/3.77 (P3(f3(f3(a1,a1),f3(a1,a1)),f3(a1,a1))),
% 3.68/3.77 inference(scs_inference,[],[62,703,248,27])).
% 3.68/3.77 cnf(863,plain,
% 3.68/3.77 (P4(f3(a4,a4),a4,f3(a4,a4))),
% 3.68/3.77 inference(scs_inference,[],[62,815,703,248,244,262,27,26,33])).
% 3.68/3.77 cnf(865,plain,
% 3.68/3.77 (P4(f3(a1,a1),a4,f3(a1,a1))),
% 3.68/3.77 inference(scs_inference,[],[62,815,703,248,481,244,262,27,26,33,31])).
% 3.68/3.77 cnf(867,plain,
% 3.68/3.77 (P2(f3(a1,a1),f9(a8,a8),f9(a8,a8))),
% 3.68/3.77 inference(scs_inference,[],[62,811,815,703,248,481,244,262,27,26,33,31,25])).
% 3.68/3.77 cnf(869,plain,
% 3.68/3.77 (~P2(f3(a1,a1),a1,f10(a4))),
% 3.68/3.77 inference(scs_inference,[],[62,46,811,784,815,703,248,481,151,244,262,27,26,33,31,25,28])).
% 3.68/3.77 cnf(871,plain,
% 3.68/3.77 (~P2(f6(f3(a1,a1)),f3(a1,a1),a4)),
% 3.68/3.77 inference(scs_inference,[],[62,46,811,817,784,815,688,703,595,248,481,151,244,262,27,26,33,31,25,28,29])).
% 3.68/3.77 cnf(891,plain,
% 3.68/3.77 (P4(a4,f3(a4,a4),f3(a4,a4))),
% 3.68/3.77 inference(scs_inference,[],[863,309,13,14,26])).
% 3.68/3.77 cnf(893,plain,
% 3.68/3.77 (P4(f3(a4,a4),f6(a8),f3(f6(a8),f6(a8)))),
% 3.68/3.77 inference(scs_inference,[],[863,801,819,309,244,13,14,26,33])).
% 3.68/3.77 cnf(895,plain,
% 3.68/3.77 (~P4(f3(a1,a1),f9(a1,a1),a4)),
% 3.68/3.77 inference(scs_inference,[],[44,759,863,801,819,309,116,244,13,14,26,33,31])).
% 3.68/3.77 cnf(897,plain,
% 3.68/3.77 (~P4(a4,f10(a4),f9(a1,a1))),
% 3.68/3.77 inference(scs_inference,[],[44,759,701,863,801,819,309,74,116,244,361,13,14,26,33,31,30])).
% 3.68/3.77 cnf(901,plain,
% 3.68/3.77 (~P2(f6(a8),a8,a4)),
% 3.68/3.77 inference(scs_inference,[],[56,44,759,701,851,863,801,847,819,309,491,74,116,244,361,13,14,26,33,31,30,25,28])).
% 3.68/3.77 cnf(905,plain,
% 3.68/3.77 (~P2(a1,f10(a4),a1)),
% 3.68/3.77 inference(scs_inference,[],[56,44,759,701,851,863,801,847,819,849,451,309,408,491,813,74,116,244,361,13,14,26,33,31,30,25,28,32,29])).
% 3.68/3.77 cnf(909,plain,
% 3.68/3.77 (P4(f10(f10(a4)),f10(a4),a4)),
% 3.68/3.77 inference(scs_inference,[],[56,44,759,701,851,863,801,847,819,849,451,309,408,491,813,362,74,116,244,361,13,14,26,33,31,30,25,28,32,29,19,23])).
% 3.68/3.77 cnf(911,plain,
% 3.68/3.77 (P3(f3(a1,a1),a1)),
% 3.68/3.77 inference(scs_inference,[],[56,62,46,44,759,701,851,863,801,847,819,849,451,309,408,491,813,178,362,74,116,244,361,13,14,26,33,31,30,25,28,32,29,19,23,27])).
% 3.68/3.77 cnf(915,plain,
% 3.68/3.77 (P4(a4,f3(a5,a5),f3(a5,a5))),
% 3.68/3.77 inference(scs_inference,[],[56,62,46,44,759,701,851,863,801,847,819,849,451,309,688,408,491,813,178,362,74,116,244,361,13,14,26,33,31,30,25,28,32,29,19,23,27,22,463])).
% 3.68/3.77 cnf(917,plain,
% 3.68/3.77 (P3(f3(a1,a1),f9(a1,a1))),
% 3.68/3.77 inference(scs_inference,[],[56,62,46,44,759,701,851,863,801,847,819,849,451,309,688,408,491,813,178,362,74,116,244,361,13,14,26,33,31,30,25,28,32,29,19,23,27,22,463,15])).
% 3.68/3.77 cnf(924,plain,
% 3.68/3.77 (P2(f6(a5),a1,f6(a5))),
% 3.68/3.77 inference(scs_inference,[],[843,895,26,25])).
% 3.68/3.77 cnf(926,plain,
% 3.68/3.77 (~P4(f3(a1,a1),f9(a1,a1),f10(f10(a4)))),
% 3.68/3.77 inference(scs_inference,[],[843,895,909,675,26,25,30])).
% 3.68/3.77 cnf(928,plain,
% 3.68/3.77 (P2(f6(f9(a1,a1)),a1,f3(a1,a1))),
% 3.68/3.77 inference(scs_inference,[],[46,843,823,895,909,675,178,26,25,30,28])).
% 3.68/3.77 cnf(930,plain,
% 3.68/3.77 (P2(f3(a8,a8),f9(a1,a1),f3(a8,a8))),
% 3.68/3.77 inference(scs_inference,[],[46,843,823,895,909,591,207,675,178,26,25,30,28,29])).
% 3.68/3.77 cnf(936,plain,
% 3.68/3.77 (P2(f6(f3(a7,a7)),f3(a7,a7),a1)),
% 3.68/3.77 inference(scs_inference,[],[46,843,823,895,909,591,311,207,80,675,178,26,25,30,28,29,11,17,18])).
% 3.68/3.77 cnf(938,plain,
% 3.68/3.77 (P2(a1,f9(a2,a2),f9(a2,a2))),
% 3.68/3.77 inference(scs_inference,[],[46,843,823,895,909,591,311,207,80,675,178,26,25,30,28,29,11,17,18,16])).
% 3.68/3.77 cnf(946,plain,
% 3.68/3.77 (~P4(f9(a1,a1),f10(f10(a4)),f10(a4))),
% 3.68/3.77 inference(scs_inference,[],[44,74,46,853,843,845,823,895,909,591,311,207,80,675,178,26,25,30,28,29,11,17,18,16,20,21,33,31])).
% 3.68/3.77 cnf(948,plain,
% 3.68/3.77 (~P2(f9(a1,a1),f10(f10(a4)),f9(a1,a1))),
% 3.68/3.77 inference(scs_inference,[],[44,74,46,853,843,845,823,895,909,591,311,207,80,675,788,178,26,25,30,28,29,11,17,18,16,20,21,33,31,32])).
% 3.68/3.77 cnf(956,plain,
% 3.68/3.77 (P4(f9(a8,a8),f9(a8,a8),f9(f9(a8,a8),f9(a8,a8)))),
% 3.68/3.77 inference(scs_inference,[],[182,20,21])).
% 3.68/3.77 cnf(960,plain,
% 3.68/3.77 (~P2(f9(a1,a1),a1,f6(a4))),
% 3.68/3.77 inference(scs_inference,[],[44,915,839,182,284,246,20,21,26,33])).
% 3.68/3.77 cnf(964,plain,
% 3.68/3.77 (P4(f10(f10(a4)),f9(a1,a1),f9(a1,a1))),
% 3.68/3.77 inference(scs_inference,[],[44,74,54,915,897,839,182,284,648,909,246,20,21,26,33,31,30])).
% 3.68/3.77 cnf(966,plain,
% 3.68/3.77 (~P2(f10(f10(a4)),f9(a1,a1),f9(a1,a1))),
% 3.68/3.77 inference(scs_inference,[],[44,74,54,948,915,897,839,182,284,648,909,246,20,21,26,33,31,30,25])).
% 3.68/3.77 cnf(968,plain,
% 3.68/3.77 (P2(f3(f3(a1,a1),f3(a1,a1)),f9(a8,a8),f9(a8,a8))),
% 3.68/3.77 inference(scs_inference,[],[44,74,54,867,948,915,897,839,182,284,648,660,909,246,20,21,26,33,31,30,25,29])).
% 3.68/3.77 cnf(970,plain,
% 3.68/3.77 (P2(f3(f6(a1),f6(a1)),f3(a1,a1),f3(a1,a1))),
% 3.68/3.77 inference(scs_inference,[],[44,74,54,46,867,948,915,897,839,182,284,648,408,660,909,246,20,21,26,33,31,30,25,29,28])).
% 3.68/3.77 cnf(976,plain,
% 3.68/3.77 (P3(f6(a7),f6(a7))),
% 3.68/3.77 inference(scs_inference,[],[44,74,54,46,867,948,915,928,897,839,182,284,849,648,155,408,660,909,246,116,20,21,26,33,31,30,25,29,28,578,32,12])).
% 3.68/3.77 cnf(982,plain,
% 3.68/3.77 (P2(f9(a1,a1),f3(a8,a8),f3(a8,a8))),
% 3.68/3.77 inference(scs_inference,[],[930,926,26,25])).
% 3.68/3.77 cnf(984,plain,
% 3.68/3.77 (~P4(f3(a1,a1),a4,a4)),
% 3.68/3.77 inference(scs_inference,[],[930,865,926,505,417,26,25,30])).
% 3.68/3.77 cnf(986,plain,
% 3.68/3.77 (~P2(f10(f10(a4)),f6(a1),f6(a1))),
% 3.68/3.77 inference(scs_inference,[],[930,865,966,926,628,505,417,26,25,30,28])).
% 3.68/3.77 cnf(988,plain,
% 3.68/3.77 (P2(f3(a1,a1),f9(a2,a2),f9(a2,a2))),
% 3.68/3.77 inference(scs_inference,[],[46,930,865,966,926,938,628,505,417,26,25,30,28,29])).
% 3.68/3.77 cnf(996,plain,
% 3.68/3.77 (P3(f6(a4),f6(a4))),
% 3.68/3.77 inference(scs_inference,[],[46,930,956,865,966,926,938,628,505,417,199,256,35,26,25,30,28,29,24,27,19,12])).
% 3.68/3.77 cnf(1006,plain,
% 3.68/3.77 (P3(f3(f3(a1,a1),f3(a1,a1)),a1)),
% 3.68/3.77 inference(scs_inference,[],[911,859,15])).
% 3.68/3.77 cnf(1010,plain,
% 3.68/3.77 (~P4(f10(f10(a4)),f9(a1,a1),a4)),
% 3.68/3.77 inference(scs_inference,[],[74,893,911,859,964,701,15,26,31])).
% 3.68/3.77 cnf(1012,plain,
% 3.68/3.77 (~P4(a1,f9(a7,a7),f10(f10(a4)))),
% 3.68/3.77 inference(scs_inference,[],[74,893,911,859,757,964,701,686,909,15,26,31,30])).
% 3.68/3.77 cnf(1017,plain,
% 3.68/3.77 (~P2(a1,f9(a1,a1),f6(a4))),
% 3.68/3.77 inference(scs_inference,[],[74,960,893,976,911,859,757,964,701,686,909,15,26,31,30,22,25])).
% 3.68/3.77 cnf(1019,plain,
% 3.68/3.77 (~P4(f9(a1,a1),a4,f10(f10(a4)))),
% 3.68/3.77 inference(scs_inference,[],[74,960,893,976,911,859,757,964,110,701,948,686,909,15,26,31,30,22,25,32])).
% 3.68/3.77 cnf(1021,plain,
% 3.68/3.77 (~P2(a1,a1,f10(f10(a4)))),
% 3.68/3.77 inference(scs_inference,[],[74,960,893,986,976,911,859,757,964,110,701,948,379,686,909,15,26,31,30,22,25,32,29])).
% 3.68/3.77 cnf(1023,plain,
% 3.68/3.77 (~P2(f3(a1,a1),a4,f3(a1,a1))),
% 3.68/3.77 inference(scs_inference,[],[74,960,893,871,986,976,911,859,757,964,110,701,948,595,379,686,909,159,15,26,31,30,22,25,32,29,28])).
% 3.68/3.77 cnf(1041,plain,
% 3.68/3.77 (~P4(a4,f9(a1,a1),f10(f10(a4)))),
% 3.68/3.77 inference(scs_inference,[],[74,54,946,1019,199,13,14,26,31])).
% 3.68/3.77 cnf(1043,plain,
% 3.68/3.77 (~P2(f9(a1,a1),f9(a1,a1),f10(f10(a4)))),
% 3.68/3.77 inference(scs_inference,[],[74,54,946,1019,110,199,13,14,26,31,33])).
% 3.68/3.77 cnf(1047,plain,
% 3.68/3.77 (~P4(a4,f6(a1),f10(a4))),
% 3.68/3.77 inference(scs_inference,[],[74,54,996,946,1019,809,713,110,199,262,13,14,26,31,33,22,30])).
% 3.68/3.77 cnf(1051,plain,
% 3.68/3.77 (P2(f3(f6(a1),f6(a1)),f9(a8,a8),f9(a8,a8))),
% 3.68/3.77 inference(scs_inference,[],[74,54,968,970,996,946,1019,809,867,713,110,199,262,13,14,26,31,33,22,30,25,28])).
% 3.68/3.77 cnf(1057,plain,
% 3.68/3.77 (P4(a4,f3(a2,a2),f3(a2,a2))),
% 3.68/3.77 inference(scs_inference,[],[76,74,62,54,968,970,996,946,1019,1006,809,867,713,110,705,199,86,262,13,14,26,31,33,22,30,25,28,29,15,17])).
% 3.68/3.77 cnf(1061,plain,
% 3.68/3.77 (P2(a1,f9(a7,a7),f9(a7,a7))),
% 3.68/3.77 inference(scs_inference,[],[76,74,62,54,968,970,996,946,1019,1006,809,867,713,110,705,199,86,309,262,13,14,26,31,33,22,30,25,28,29,15,17,11,16])).
% 3.68/3.77 cnf(1063,plain,
% 3.68/3.77 (P2(f6(f3(a5,a5)),f3(a5,a5),a1)),
% 3.68/3.77 inference(scs_inference,[],[76,74,62,54,968,970,996,946,1019,1006,809,867,713,110,705,199,86,309,262,13,14,26,31,33,22,30,25,28,29,15,17,11,16,18])).
% 3.68/3.77 cnf(1071,plain,
% 3.68/3.77 (P4(f3(a2,a2),a4,f3(a2,a2))),
% 3.68/3.77 inference(scs_inference,[],[1057,26])).
% 3.68/3.77 cnf(1073,plain,
% 3.68/3.77 (P4(f10(f10(a4)),f9(a8,a8),f9(a8,a8))),
% 3.68/3.77 inference(scs_inference,[],[1057,539,555,909,26,30])).
% 3.68/3.77 cnf(1077,plain,
% 3.68/3.77 (~P4(a1,f9(a1,a1),f10(f10(a4)))),
% 3.68/3.77 inference(scs_inference,[],[54,901,1057,539,555,966,909,159,26,30,25,32])).
% 3.68/3.77 cnf(1079,plain,
% 3.68/3.77 (P2(f3(f6(a1),f6(a1)),f9(a7,a7),f9(a7,a7))),
% 3.68/3.77 inference(scs_inference,[],[54,901,1061,1057,539,555,966,408,909,159,26,30,25,32,28])).
% 3.68/3.77 cnf(1081,plain,
% 3.68/3.77 (P2(f3(f9(a1,a1),f9(a1,a1)),f3(a8,a8),f3(a8,a8))),
% 3.68/3.77 inference(scs_inference,[],[54,901,1061,1057,982,539,555,529,966,408,909,159,26,30,25,32,28,29])).
% 3.68/3.77 cnf(1083,plain,
% 3.68/3.77 (P2(f9(a5,a5),f9(a5,a5),f3(f9(a5,a5),f9(a5,a5)))),
% 3.68/3.77 inference(scs_inference,[],[54,901,1061,1057,982,539,555,529,966,197,408,909,159,26,30,25,32,28,29,20])).
% 3.68/3.77 cnf(1094,plain,
% 3.68/3.77 (P2(f9(a2,a2),f9(a2,a2),f3(f9(a2,a2),f9(a2,a2)))),
% 3.68/3.77 inference(scs_inference,[],[80,20])).
% 3.68/3.77 cnf(1100,plain,
% 3.68/3.77 (P4(f3(a2,a2),f10(a4),f3(a2,a2))),
% 3.68/3.77 inference(scs_inference,[],[80,1071,1077,392,20,21,26,31])).
% 3.68/3.77 cnf(1104,plain,
% 3.68/3.77 (~P4(a1,f3(a4,a4),f6(a4))),
% 3.68/3.77 inference(scs_inference,[],[80,1071,1077,807,839,782,246,323,392,361,276,20,21,26,31,33,30])).
% 3.68/3.77 cnf(1108,plain,
% 3.68/3.77 (P2(f3(f6(a1),f6(a1)),f9(a2,a2),f9(a2,a2))),
% 3.68/3.77 inference(scs_inference,[],[80,1051,1071,1077,807,988,970,839,782,246,323,392,361,276,20,21,26,31,33,30,25,28])).
% 3.68/3.77 cnf(1110,plain,
% 3.68/3.77 (~P4(f9(a1,a1),a4,f6(a4))),
% 3.68/3.77 inference(scs_inference,[],[80,74,1051,1071,1077,807,988,970,1017,839,782,597,246,323,392,361,276,20,21,26,31,33,30,25,28,32])).
% 3.68/3.77 cnf(1112,plain,
% 3.68/3.77 (~P2(f6(f9(a1,a1)),f6(a4),f3(a1,a1))),
% 3.68/3.77 inference(scs_inference,[],[80,74,1051,1023,1071,1077,807,988,970,928,1017,839,782,597,258,246,323,392,361,276,20,21,26,31,33,30,25,28,32,29])).
% 3.68/3.77 cnf(1124,plain,
% 3.68/3.77 (~P2(f3(a1,a1),f9(a1,a1),f10(f10(a4)))),
% 3.68/3.77 inference(scs_inference,[],[74,1073,1061,865,1019,634,35,27,26,33])).
% 3.68/3.77 cnf(1128,plain,
% 3.68/3.77 (~P4(a1,f3(a2,a2),f10(f10(a4)))),
% 3.68/3.77 inference(scs_inference,[],[74,1073,1112,1100,1061,865,1019,634,686,909,35,27,26,33,25,30])).
% 3.68/3.77 cnf(1131,plain,
% 3.68/3.77 (~P4(f3(a4,a4),f9(a1,a1),f10(f10(a4)))),
% 3.68/3.77 inference(scs_inference,[],[54,74,1043,1073,1112,1100,1061,865,1019,634,686,909,35,244,27,26,33,25,30,32])).
% 3.68/3.77 cnf(1133,plain,
% 3.68/3.77 (~P2(f9(a1,a1),f3(a1,a1),f6(a4))),
% 3.68/3.77 inference(scs_inference,[],[54,74,1043,1073,1112,1100,823,1061,865,1019,634,149,686,909,35,244,27,26,33,25,30,32,28])).
% 3.68/3.77 cnf(1135,plain,
% 3.68/3.77 (~P2(f6(f3(a5,a5)),f3(a5,a5),a4)),
% 3.68/3.77 inference(scs_inference,[],[54,74,1043,1073,1112,1100,1063,823,1061,447,423,865,1019,634,149,686,909,35,244,27,26,33,25,30,32,28,29])).
% 3.68/3.77 cnf(1145,plain,
% 3.68/3.77 (P3(a1,f3(f9(a1,a1),f9(a1,a1)))),
% 3.68/3.77 inference(scs_inference,[],[62,207,529,256,21,27])).
% 3.68/3.77 cnf(1147,plain,
% 3.68/3.77 (~P4(f9(a1,a1),f3(a4,a4),f10(f10(a4)))),
% 3.68/3.77 inference(scs_inference,[],[62,1131,207,529,256,21,27,26])).
% 3.68/3.77 cnf(1149,plain,
% 3.68/3.77 (~P4(a4,f9(a1,a1),f6(a4))),
% 3.68/3.77 inference(scs_inference,[],[54,62,74,1131,1110,207,529,256,21,27,26,31])).
% 3.68/3.77 cnf(1155,plain,
% 3.68/3.77 (~P2(f10(a4),a1,f3(a1,a1))),
% 3.68/3.77 inference(scs_inference,[],[54,62,74,1108,1131,1110,1104,515,863,207,865,529,256,323,361,276,21,27,26,31,30,25,32])).
% 3.68/3.77 cnf(1161,plain,
% 3.68/3.77 (P4(a4,f6(a7),f6(a7))),
% 3.68/3.77 inference(scs_inference,[],[54,76,62,74,1108,1131,1110,1104,515,145,863,303,207,865,529,155,256,660,323,361,276,21,27,26,31,30,25,32,29,28,17])).
% 3.68/3.77 cnf(1181,plain,
% 3.68/3.77 (P4(f10(a4),f10(a4),f9(f10(a4),f10(a4)))),
% 3.68/3.77 inference(scs_inference,[],[375,362,13,14,21])).
% 3.68/3.77 cnf(1185,plain,
% 3.68/3.77 (P4(f3(a2,a2),a2,f3(f9(a2,a2),f9(a2,a2)))),
% 3.68/3.77 inference(scs_inference,[],[78,1094,1161,84,375,362,13,14,21,26,33])).
% 3.68/3.77 cnf(1187,plain,
% 3.68/3.77 (P4(f3(a2,a2),f9(f10(a4),f10(a4)),f3(a2,a2))),
% 3.68/3.77 inference(scs_inference,[],[78,1094,1161,1100,84,375,362,13,14,21,26,33,30])).
% 3.68/3.77 cnf(1189,plain,
% 3.68/3.77 (~P2(f9(a1,a1),f3(a1,a1),f10(f10(a4)))),
% 3.68/3.77 inference(scs_inference,[],[78,1094,1124,1161,1100,84,375,362,13,14,21,26,33,30,25])).
% 3.68/3.77 cnf(1207,plain,
% 3.68/3.77 (P4(f9(a8,a8),f9(f10(a4),f10(a4)),f9(a8,a8))),
% 3.68/3.77 inference(scs_inference,[],[1181,1012,537,26,30])).
% 3.68/3.77 cnf(1209,plain,
% 3.68/3.77 (P2(f3(a8,a8),f3(f9(a1,a1),f9(a1,a1)),f3(a8,a8))),
% 3.68/3.77 inference(scs_inference,[],[1081,1181,1012,537,26,30,25])).
% 3.68/3.77 cnf(1213,plain,
% 3.68/3.77 (~P2(f6(a1),f3(a1,a1),f10(f10(a4)))),
% 3.68/3.77 inference(scs_inference,[],[74,1081,1189,1181,1012,537,248,628,849,26,30,25,32,29])).
% 3.68/3.77 cnf(1215,plain,
% 3.68/3.77 (~P2(a1,f3(f9(a1,a1),f9(a1,a1)),a4)),
% 3.68/3.77 inference(scs_inference,[],[74,1081,1189,1135,1181,1012,1063,537,589,248,628,849,26,30,25,32,29,28])).
% 3.68/3.77 cnf(1229,plain,
% 3.68/3.77 (P2(f9(a7,a7),f9(a7,a7),f3(f9(a7,a7),f9(a7,a7)))),
% 3.68/3.77 inference(scs_inference,[],[309,20])).
% 3.68/3.77 cnf(1237,plain,
% 3.68/3.77 (~P4(f9(a1,a1),f3(a4,a4),a4)),
% 3.68/3.77 inference(scs_inference,[],[1187,1010,1147,984,964,599,419,865,597,309,323,20,26,33,31,30])).
% 3.68/3.77 cnf(1239,plain,
% 3.68/3.77 (~P2(f3(a1,a1),f9(a1,a1),f6(a4))),
% 3.68/3.77 inference(scs_inference,[],[1187,1010,1147,1133,984,964,599,419,865,597,309,323,20,26,33,31,30,25])).
% 3.68/3.77 cnf(1243,plain,
% 3.68/3.77 (~P4(a1,f3(a4,a4),f10(f10(a4)))),
% 3.68/3.77 inference(scs_inference,[],[1187,1010,1147,1133,1021,1213,984,964,487,599,419,865,597,379,309,323,38,20,26,33,31,30,25,29,32])).
% 3.68/3.77 cnf(1251,plain,
% 3.68/3.77 (~P4(f9(a1,a1),f9(f10(a4),f10(a4)),f10(a4))),
% 3.68/3.77 inference(scs_inference,[],[1128,780,1181,675,26,31])).
% 3.68/3.77 cnf(1257,plain,
% 3.68/3.77 (~P4(f3(f3(a1,a1),f3(a1,a1)),f3(a4,a4),a4)),
% 3.68/3.77 inference(scs_inference,[],[1079,1128,780,1243,680,1181,863,481,660,675,323,26,31,30,25,32])).
% 3.68/3.77 cnf(1259,plain,
% 3.68/3.77 (~P2(f3(a7,a7),f10(a4),f3(a7,a7))),
% 3.68/3.77 inference(scs_inference,[],[1079,1128,780,936,1243,680,1181,905,863,481,660,675,323,26,31,30,25,32,29])).
% 3.68/3.77 cnf(1261,plain,
% 3.68/3.77 (P2(f6(f9(a1,a1)),f3(a5,a5),f3(a5,a5))),
% 3.68/3.77 inference(scs_inference,[],[1079,1128,780,936,1243,654,680,1181,905,823,406,863,481,660,675,323,26,31,30,25,32,29,28])).
% 3.68/3.77 cnf(1265,plain,
% 3.68/3.77 (P4(a4,f6(a4),f6(a4))),
% 3.68/3.77 inference(scs_inference,[],[86,1079,1128,780,936,1243,654,680,1181,905,823,406,863,481,256,660,675,323,26,31,30,25,32,29,28,18,17])).
% 3.68/3.77 cnf(1275,plain,
% 3.68/3.77 (P4(a4,a4,f9(a4,a4))),
% 3.68/3.77 inference(scs_inference,[],[2,21])).
% 3.68/3.77 cnf(1279,plain,
% 3.68/3.77 (P4(f3(a7,a7),f9(f10(a4),f10(a4)),f3(a7,a7))),
% 3.68/3.77 inference(scs_inference,[],[1207,727,1181,2,21,26,30])).
% 3.68/3.77 cnf(1281,plain,
% 3.68/3.77 (P4(f9(f10(a4),f10(a4)),f9(a1,a1),f9(a1,a1))),
% 3.68/3.77 inference(scs_inference,[],[1207,727,1181,648,2,21,26,30,31])).
% 3.68/3.77 cnf(1283,plain,
% 3.68/3.77 (~P2(f10(a4),f3(a7,a7),f3(a7,a7))),
% 3.68/3.77 inference(scs_inference,[],[1207,1259,727,1181,648,2,21,26,30,31,25])).
% 3.68/3.77 cnf(1287,plain,
% 3.68/3.77 (P2(f9(a1,a1),f6(a8),f6(a8))),
% 3.68/3.77 inference(scs_inference,[],[1207,1259,825,727,174,1181,648,394,178,2,21,26,30,31,25,29,28])).
% 3.68/3.77 cnf(1295,plain,
% 3.68/3.77 (~P4(f6(f6(a1)),f10(a4),f10(a4))),
% 3.68/3.77 inference(scs_inference,[],[1207,1259,825,727,174,1181,1006,648,182,394,178,2,21,26,30,31,25,29,28,13,14,27,794])).
% 3.68/3.77 cnf(1315,plain,
% 3.68/3.77 (P4(f3(a4,a4),f9(a5,a5),f3(f9(a5,a5),f9(a5,a5)))),
% 3.68/3.77 inference(scs_inference,[],[1251,1083,398,383,195,499,13,14,26,33,30])).
% 3.68/3.77 cnf(1317,plain,
% 3.68/3.77 (P4(f9(a4,a4),a4,f9(a4,a4))),
% 3.68/3.77 inference(scs_inference,[],[1251,1275,1083,398,383,195,499,262,13,14,26,33,30,31])).
% 3.68/3.77 cnf(1321,plain,
% 3.68/3.77 (~P2(f3(f6(a1),f6(a1)),f3(a1,a1),f6(a4))),
% 3.68/3.77 inference(scs_inference,[],[1261,1239,1251,1275,1083,970,398,383,222,195,499,262,13,14,26,33,30,31,25,29])).
% 3.68/3.77 cnf(1325,plain,
% 3.68/3.77 (P2(f6(f6(a1)),f3(a2,a2),f3(a2,a2))),
% 3.68/3.77 inference(scs_inference,[],[1261,1239,1251,1275,1083,1023,717,817,343,425,970,398,383,222,481,195,499,262,13,14,26,33,30,31,25,29,32,28])).
% 3.68/3.77 cnf(1339,plain,
% 3.68/3.77 (~P2(f6(f9(a1,a1)),a1,f10(a4))),
% 3.68/3.77 inference(scs_inference,[],[1315,869,1041,928,38,54,361,26,31,29])).
% 3.68/3.77 cnf(1343,plain,
% 3.68/3.77 (P2(f9(a4,a4),f9(a4,a4),f3(a4,a4))),
% 3.68/3.77 inference(scs_inference,[],[1315,869,1321,1041,1275,928,863,244,38,54,361,26,31,29,25,32])).
% 3.68/3.77 cnf(1345,plain,
% 3.68/3.77 (~P2(f10(a4),f3(f6(a1),f6(a1)),f3(a1,a1))),
% 3.68/3.77 inference(scs_inference,[],[1315,869,1321,1041,1155,1275,928,705,863,813,244,38,54,361,26,31,29,25,32,28])).
% 3.68/3.77 cnf(1351,plain,
% 3.68/3.77 (~P4(f10(a4),f6(a4),f9(a1,a1))),
% 3.68/3.77 inference(scs_inference,[],[1315,869,1321,1041,1149,1155,1265,1287,1275,928,917,705,863,813,256,244,392,38,54,361,26,31,29,25,32,28,20,27,30])).
% 3.68/3.77 cnf(1365,plain,
% 3.68/3.77 (P4(a4,f9(a4,a4),f9(a4,a4))),
% 3.68/3.77 inference(scs_inference,[],[1257,1275,362,262,20,26,30])).
% 3.68/3.77 cnf(1369,plain,
% 3.68/3.77 (~P4(f9(f10(a4),f10(a4)),f9(a1,a1),a4)),
% 3.68/3.77 inference(scs_inference,[],[74,1281,1257,924,696,1275,303,362,262,20,26,30,29,31])).
% 3.68/3.77 cnf(1377,plain,
% 3.68/3.77 (P2(f6(f3(a8,a8)),f3(a8,a8),a1)),
% 3.68/3.77 inference(scs_inference,[],[90,74,1281,1283,1279,1325,1257,924,696,252,717,1275,174,303,186,362,262,20,26,30,29,31,32,25,28,18])).
% 3.68/3.77 cnf(1379,plain,
% 3.68/3.77 (P4(a4,f6(a5),f6(a5))),
% 3.68/3.77 inference(scs_inference,[],[90,74,1281,1283,1279,1325,1257,924,696,252,717,1275,174,303,186,375,362,262,20,26,30,29,31,32,25,28,18,17])).
% 3.68/3.77 cnf(1391,plain,
% 3.68/3.77 (P4(f3(a4,a4),f9(a4,a4),f3(a4,a4))),
% 3.68/3.77 inference(scs_inference,[],[1343,1185,1365,244,26,33])).
% 3.68/3.77 cnf(1397,plain,
% 3.68/3.77 (P2(a1,f3(f9(a1,a1),f9(a1,a1)),a1)),
% 3.68/3.77 inference(scs_inference,[],[1343,1185,1377,1365,1209,1283,762,1275,623,244,26,33,31,32,29])).
% 3.68/3.77 cnf(1408,plain,
% 3.68/3.77 (P3(f3(a1,a1),f3(f9(a1,a1),f9(a1,a1)))),
% 3.68/3.77 inference(scs_inference,[],[911,1145,15])).
% 3.68/3.77 cnf(1412,plain,
% 3.68/3.77 (~P4(f9(a4,a4),f6(a1),f10(a4))),
% 3.68/3.77 inference(scs_inference,[],[1295,1047,911,1275,1145,713,15,26,30])).
% 3.68/3.77 cnf(1414,plain,
% 3.68/3.77 (P4(f3(a4,a4),f10(a4),f3(a4,a4))),
% 3.68/3.77 inference(scs_inference,[],[1295,1047,911,1275,1145,713,244,392,15,26,30,33])).
% 3.68/3.77 cnf(1418,plain,
% 3.68/3.77 (~P2(f6(f3(a8,a8)),f3(a8,a8),a4)),
% 3.68/3.77 inference(scs_inference,[],[1295,1047,1215,1317,1377,1209,911,1275,1145,713,244,392,15,26,30,33,31,29])).
% 3.68/3.77 cnf(1420,plain,
% 3.68/3.77 (P2(f3(f9(a1,a1),f9(a1,a1)),a1,a1)),
% 3.68/3.77 inference(scs_inference,[],[1397,1295,1047,1215,1317,1377,1209,911,1275,1145,713,244,392,15,26,30,33,31,29,25])).
% 3.68/3.77 cnf(1422,plain,
% 3.68/3.77 (~P2(a5,a8,f3(a8,a5))),
% 3.68/3.77 inference(scs_inference,[],[92,76,1397,1295,1047,1215,1317,280,1377,1209,911,1275,1145,713,244,392,15,26,30,33,31,29,25,28])).
% 3.68/3.77 cnf(1434,plain,
% 3.68/3.77 (P1(f9(a4,a4))),
% 3.68/3.77 inference(scs_inference,[],[2,13,14])).
% 3.68/3.77 cnf(1436,plain,
% 3.68/3.77 (P4(f9(a4,a4),f3(a4,a4),f3(a4,a4))),
% 3.68/3.77 inference(scs_inference,[],[1391,2,13,14,26])).
% 3.68/3.77 cnf(1440,plain,
% 3.68/3.77 (P4(f3(a4,a4),f9(a7,a7),f3(f9(a7,a7),f9(a7,a7)))),
% 3.68/3.77 inference(scs_inference,[],[1229,1391,841,337,713,244,2,361,13,14,26,30,33])).
% 3.68/3.77 cnf(1442,plain,
% 3.68/3.77 (~P4(f3(a4,a4),f9(a1,a1),a4)),
% 3.68/3.77 inference(scs_inference,[],[1229,1237,1391,841,337,443,419,713,244,2,361,13,14,26,30,33,31])).
% 3.68/3.77 cnf(1446,plain,
% 3.68/3.77 (~P2(f3(f6(a1),f6(a1)),f10(a4),f3(a1,a1))),
% 3.77/3.78 inference(scs_inference,[],[1229,1237,1391,1345,1339,841,337,443,782,419,813,713,244,2,361,13,14,26,30,33,31,29,25])).
% 3.77/3.78 cnf(1456,plain,
% 3.77/3.78 (P4(f3(a4,a4),f3(a4,a4),f9(f3(a4,a4),f3(a4,a4)))),
% 3.77/3.78 inference(scs_inference,[],[1229,1408,1237,1391,1345,1418,1339,841,337,1377,443,782,419,813,713,244,2,361,159,13,14,26,30,33,31,29,25,28,768,463,15,21])).
% 3.77/3.78 cnf(1471,plain,
% 3.77/3.78 (P4(f9(a4,a4),f9(a4,a4),f9(f9(a4,a4),f9(a4,a4)))),
% 3.77/3.78 inference(scs_inference,[],[1434,21])).
% 3.77/3.78 cnf(1475,plain,
% 3.77/3.78 (P4(f9(a4,a4),f3(a8,a8),f3(a8,a8))),
% 3.77/3.78 inference(scs_inference,[],[1436,1434,1412,535,21,26,30])).
% 3.77/3.78 cnf(1481,plain,
% 3.77/3.78 (~P4(f3(a1,a1),f3(a4,a4),f6(a4))),
% 3.77/3.78 inference(scs_inference,[],[76,1456,1436,1434,1412,585,1133,1397,535,248,481,419,21,26,30,31,29,32])).
% 3.77/3.78 cnf(1509,plain,
% 3.77/3.78 (P4(f9(f9(a4,a4),f9(a4,a4)),f3(a8,a8),f3(a8,a8))),
% 3.77/3.78 inference(scs_inference,[],[1440,1475,1471,1369,1281,1434,675,20,26,30,31])).
% 3.77/3.78 cnf(1523,plain,
% 3.77/3.78 (~P4(f3(a4,a4),f3(a1,a1),f6(a4))),
% 3.77/3.78 inference(scs_inference,[],[1481,26])).
% 3.77/3.78 cnf(1529,plain,
% 3.77/3.78 (P4(f3(a1,a1),f10(a4),f3(a1,a1))),
% 3.77/3.78 inference(scs_inference,[],[1481,1442,1414,1456,1215,1420,1397,443,481,26,30,29,31])).
% 3.77/3.78 cnf(1553,plain,
% 3.77/3.78 (~P2(a8,a5,f3(a8,a5))),
% 3.77/3.78 inference(scs_inference,[],[1422,1509,790,1446,1523,1529,1379,1351,891,1281,1023,817,487,1181,505,394,244,26,30,33,29,31,32,25])).
% 3.77/3.78 cnf(1599,plain,
% 3.77/3.78 ($false),
% 3.77/3.78 inference(scs_inference,[],[1553,6,4,20]),
% 3.77/3.78 ['proof']).
% 3.77/3.78 % SZS output end Proof
% 3.77/3.78 % Total time :3.100000s
%------------------------------------------------------------------------------