TSTP Solution File: FLD031-1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : FLD031-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n028.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 22:26:38 EDT 2023
% Result : Unsatisfiable 126.80s 127.02s
% Output : CNFRefutation 127.05s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : FLD031-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n028.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 28 00:08:54 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.56 start to proof:theBenchmark
% 126.69/127.01 %-------------------------------------------
% 126.69/127.01 % File :CSE---1.6
% 126.69/127.01 % Problem :theBenchmark
% 126.69/127.01 % Transform :cnf
% 126.69/127.01 % Format :tptp:raw
% 126.69/127.01 % Command :java -jar mcs_scs.jar %d %s
% 126.69/127.01
% 126.69/127.01 % Result :Theorem 126.310000s
% 126.69/127.01 % Output :CNFRefutation 126.310000s
% 126.69/127.01 %-------------------------------------------
% 126.69/127.02 %--------------------------------------------------------------------------
% 126.80/127.02 % File : FLD031-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 126.80/127.02 % Domain : Field Theory (Ordered fields)
% 126.80/127.02 % Problem : If a is one, then the multiplicative inverse of a is also one
% 126.80/127.02 % Version : [Dra93] axioms : Especial.
% 126.80/127.02 % Theorem formulation : Functional with glxx axiom set.
% 126.80/127.02 % English :
% 126.80/127.02
% 126.80/127.02 % Refs : [Dra93] Draeger (1993), Anwendung des Theorembeweisers SETHEO
% 126.80/127.02 % Source : [Dra93]
% 126.80/127.02 % Names :
% 126.80/127.02
% 126.80/127.02 % Status : Unsatisfiable
% 126.80/127.02 % Rating : 0.00 v8.1.0, 0.14 v7.5.0, 0.00 v7.4.0, 0.17 v7.1.0, 0.33 v7.0.0, 0.38 v6.3.0, 0.14 v6.2.0, 0.11 v6.1.0, 0.14 v5.5.0, 0.25 v5.4.0, 0.30 v5.2.0, 0.10 v5.1.0, 0.18 v5.0.0, 0.29 v4.1.0, 0.12 v4.0.1, 0.20 v4.0.0, 0.14 v3.4.0, 0.25 v3.3.0, 0.33 v2.7.0, 0.12 v2.6.0, 0.33 v2.5.0, 0.00 v2.4.0, 0.20 v2.3.0, 0.33 v2.2.1, 0.33 v2.1.0
% 126.80/127.02 % Syntax : Number of clauses : 31 ( 7 unt; 3 nHn; 31 RR)
% 126.80/127.02 % Number of literals : 77 ( 0 equ; 46 neg)
% 126.80/127.02 % Maximal clause size : 4 ( 2 avg)
% 126.80/127.02 % Maximal term depth : 3 ( 1 avg)
% 126.80/127.02 % Number of predicates : 3 ( 3 usr; 0 prp; 1-2 aty)
% 126.80/127.02 % Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% 126.80/127.02 % Number of variables : 50 ( 0 sgn)
% 126.80/127.02 % SPC : CNF_UNS_RFO_NEQ_NHN
% 126.80/127.02
% 126.80/127.02 % Comments :
% 126.80/127.02 % Bugfixes : v2.1.0 - Bugfix in FLD001-0.ax
% 126.80/127.02 %--------------------------------------------------------------------------
% 126.80/127.02 include('Axioms/FLD001-0.ax').
% 126.80/127.02 %--------------------------------------------------------------------------
% 126.80/127.02 cnf(a_is_defined,hypothesis,
% 126.80/127.02 defined(a) ).
% 126.80/127.02
% 126.80/127.02 cnf(a_equals_multiplicative_identity_2,negated_conjecture,
% 126.80/127.02 equalish(a,multiplicative_identity) ).
% 126.80/127.02
% 126.80/127.02 cnf(a_not_equal_to_additive_identity_3,negated_conjecture,
% 126.80/127.02 ~ equalish(a,additive_identity) ).
% 126.80/127.02
% 126.80/127.02 cnf(multiplicative_inverses_not_equal,negated_conjecture,
% 126.80/127.02 ~ equalish(multiplicative_inverse(a),multiplicative_identity) ).
% 126.80/127.02
% 126.80/127.02 %--------------------------------------------------------------------------
% 126.80/127.02 %-------------------------------------------
% 126.80/127.02 % Proof found
% 126.80/127.02 % SZS status Theorem for theBenchmark
% 126.80/127.02 % SZS output start Proof
% 126.80/127.03 %ClaNum:31(EqnAxiom:0)
% 126.80/127.03 %VarNum:128(SingletonVarNum:50)
% 126.80/127.03 %MaxLitNum:4
% 126.80/127.03 %MaxfuncDepth:2
% 126.80/127.03 %SharedTerms:11
% 126.80/127.03 %goalClause: 4 6 7
% 126.80/127.03 %singleGoalClaCount:3
% 126.80/127.03 [1]P1(a1)
% 126.80/127.03 [2]P1(a4)
% 126.80/127.03 [3]P1(a2)
% 126.80/127.03 [4]P2(a2,a4)
% 126.80/127.03 [5]~P2(a1,a4)
% 126.80/127.03 [6]~P2(a2,a1)
% 126.80/127.03 [7]~P2(f6(a2),a4)
% 126.80/127.03 [9]~P1(x91)+P2(x91,x91)
% 126.80/127.03 [8]~P1(x81)+P1(f5(x81))
% 126.80/127.03 [13]~P1(x131)+P2(f3(a1,x131),x131)
% 126.80/127.03 [14]~P1(x141)+P2(f7(a4,x141),x141)
% 126.80/127.03 [17]~P1(x171)+P2(f3(x171,f5(x171)),a1)
% 126.80/127.03 [11]~P2(x112,x111)+P2(x111,x112)
% 126.80/127.03 [10]~P1(x101)+P2(x101,a1)+P1(f6(x101))
% 126.80/127.03 [22]~P1(x221)+P2(x221,a1)+P2(f7(x221,f6(x221)),a4)
% 126.80/127.03 [19]~P3(x192,x191)+~P3(x191,x192)+P2(x191,x192)
% 126.80/127.03 [15]~P1(x152)+~P1(x151)+P1(f3(x151,x152))
% 126.80/127.03 [16]~P1(x162)+~P1(x161)+P1(f7(x161,x162))
% 126.80/127.03 [23]~P3(a1,x232)+~P3(a1,x231)+P3(a1,f7(x231,x232))
% 126.80/127.03 [24]~P1(x242)+~P1(x241)+P2(f3(x241,x242),f3(x242,x241))
% 126.80/127.03 [25]~P1(x252)+~P1(x251)+P2(f7(x251,x252),f7(x252,x251))
% 126.80/127.03 [18]~P2(x181,x183)+P2(x181,x182)+~P2(x183,x182)
% 126.80/127.03 [20]~P3(x203,x202)+P3(x201,x202)+~P2(x203,x201)
% 126.80/127.03 [21]~P3(x211,x213)+P3(x211,x212)+~P3(x213,x212)
% 126.80/127.03 [26]~P1(x262)+~P2(x261,x263)+P2(f3(x261,x262),f3(x263,x262))
% 126.80/127.03 [27]~P1(x272)+~P2(x271,x273)+P2(f7(x271,x272),f7(x273,x272))
% 126.80/127.03 [28]~P1(x282)+~P3(x281,x283)+P3(f3(x281,x282),f3(x283,x282))
% 126.80/127.03 [12]P3(x122,x121)+~P1(x121)+~P1(x122)+P3(x121,x122)
% 126.80/127.03 [29]~P1(x293)+~P1(x292)+~P1(x291)+P2(f3(x291,f3(x292,x293)),f3(f3(x291,x292),x293))
% 126.80/127.03 [30]~P1(x303)+~P1(x302)+~P1(x301)+P2(f7(x301,f7(x302,x303)),f7(f7(x301,x302),x303))
% 126.80/127.03 [31]~P1(x313)+~P1(x312)+~P1(x311)+P2(f3(f7(x311,x312),f7(x313,x312)),f7(f3(x311,x313),x312))
% 126.80/127.03 %EqnAxiom
% 126.80/127.03
% 126.80/127.03 %-------------------------------------------
% 126.95/127.05 cnf(32,plain,
% 126.95/127.05 (~P2(a1,a2)),
% 126.95/127.05 inference(scs_inference,[],[6,11])).
% 126.95/127.05 cnf(33,plain,
% 126.95/127.05 (P3(a1,a1)),
% 126.95/127.05 inference(scs_inference,[],[6,1,11,12])).
% 126.95/127.05 cnf(34,plain,
% 126.95/127.05 (P2(a1,a1)),
% 126.95/127.05 inference(scs_inference,[],[6,1,11,12,9])).
% 126.95/127.05 cnf(36,plain,
% 126.95/127.05 (P2(f7(a4,a1),a1)),
% 126.95/127.05 inference(scs_inference,[],[6,1,11,12,9,14])).
% 126.95/127.05 cnf(38,plain,
% 126.95/127.05 (P2(f3(a1,a1),a1)),
% 126.95/127.05 inference(scs_inference,[],[6,1,11,12,9,14,13])).
% 126.95/127.05 cnf(40,plain,
% 126.95/127.05 (P1(f5(a1))),
% 126.95/127.05 inference(scs_inference,[],[6,1,11,12,9,14,13,8])).
% 126.95/127.05 cnf(42,plain,
% 126.95/127.05 (P2(f3(a1,f5(a1)),a1)),
% 126.95/127.05 inference(scs_inference,[],[6,1,11,12,9,14,13,8,17])).
% 126.95/127.05 cnf(46,plain,
% 126.95/127.05 (~P2(a4,a1)),
% 126.95/127.05 inference(scs_inference,[],[4,6,1,11,12,9,14,13,8,17,19,18])).
% 126.95/127.05 cnf(48,plain,
% 126.95/127.05 (P3(a1,f7(a1,a1))),
% 126.95/127.05 inference(scs_inference,[],[4,6,1,11,12,9,14,13,8,17,19,18,23])).
% 126.95/127.05 cnf(50,plain,
% 126.95/127.05 (P1(f7(a1,a1))),
% 126.95/127.05 inference(scs_inference,[],[4,6,1,11,12,9,14,13,8,17,19,18,23,16])).
% 126.95/127.05 cnf(52,plain,
% 126.95/127.05 (P1(f3(a1,a1))),
% 126.95/127.05 inference(scs_inference,[],[4,6,1,11,12,9,14,13,8,17,19,18,23,16,15])).
% 126.95/127.05 cnf(54,plain,
% 126.95/127.05 (P1(f6(a2))),
% 126.95/127.05 inference(scs_inference,[],[4,6,1,3,11,12,9,14,13,8,17,19,18,23,16,15,10])).
% 126.95/127.05 cnf(56,plain,
% 126.95/127.05 (P3(f3(a1,a1),f3(a1,a1))),
% 126.95/127.05 inference(scs_inference,[],[4,6,1,3,11,12,9,14,13,8,17,19,18,23,16,15,10,28])).
% 126.95/127.05 cnf(58,plain,
% 126.95/127.05 (P2(f7(a2,a1),f7(a4,a1))),
% 126.95/127.05 inference(scs_inference,[],[4,6,1,3,11,12,9,14,13,8,17,19,18,23,16,15,10,28,27])).
% 126.95/127.05 cnf(60,plain,
% 126.95/127.05 (P2(f3(a2,a1),f3(a4,a1))),
% 126.95/127.05 inference(scs_inference,[],[4,6,1,3,11,12,9,14,13,8,17,19,18,23,16,15,10,28,27,26])).
% 126.95/127.05 cnf(64,plain,
% 126.95/127.05 (P2(f3(a1,a1),f3(a1,a1))),
% 126.95/127.05 inference(scs_inference,[],[4,6,1,3,11,12,9,14,13,8,17,19,18,23,16,15,10,28,27,26,25,24])).
% 126.95/127.05 cnf(66,plain,
% 126.95/127.05 (P2(f7(a2,f6(a2)),a4)),
% 126.95/127.05 inference(scs_inference,[],[4,6,1,3,11,12,9,14,13,8,17,19,18,23,16,15,10,28,27,26,25,24,22])).
% 126.95/127.05 cnf(68,plain,
% 126.95/127.05 (P2(f7(a1,f7(a1,a1)),f7(f7(a1,a1),a1))),
% 126.95/127.05 inference(scs_inference,[],[4,6,1,3,11,12,9,14,13,8,17,19,18,23,16,15,10,28,27,26,25,24,22,30])).
% 126.95/127.05 cnf(70,plain,
% 126.95/127.05 (P2(f3(a1,f3(a1,a1)),f3(f3(a1,a1),a1))),
% 126.95/127.05 inference(scs_inference,[],[4,6,1,3,11,12,9,14,13,8,17,19,18,23,16,15,10,28,27,26,25,24,22,30,29])).
% 126.95/127.05 cnf(72,plain,
% 126.95/127.05 (P2(f3(f7(a1,a1),f7(a1,a1)),f7(f3(a1,a1),a1))),
% 126.95/127.05 inference(scs_inference,[],[4,6,1,3,11,12,9,14,13,8,17,19,18,23,16,15,10,28,27,26,25,24,22,30,29,31])).
% 126.95/127.05 cnf(74,plain,
% 126.95/127.05 (P3(a1,f3(a1,a1))),
% 126.95/127.05 inference(scs_inference,[],[56,38,20])).
% 126.95/127.05 cnf(76,plain,
% 126.95/127.05 (P3(a1,f7(f7(a1,a1),f7(a1,a1)))),
% 126.95/127.05 inference(scs_inference,[],[56,38,48,20,23])).
% 126.95/127.05 cnf(78,plain,
% 126.95/127.05 (P1(f3(a4,a4))),
% 126.95/127.05 inference(scs_inference,[],[2,56,38,48,20,23,15])).
% 126.95/127.05 cnf(80,plain,
% 126.95/127.05 (P1(f6(a4))),
% 126.95/127.05 inference(scs_inference,[],[2,56,38,48,46,20,23,15,10])).
% 126.95/127.05 cnf(86,plain,
% 126.95/127.05 (~P2(f6(a2),a2)),
% 126.95/127.05 inference(scs_inference,[],[4,2,7,56,38,48,46,20,23,15,10,28,19,18])).
% 126.95/127.05 cnf(88,plain,
% 126.95/127.05 (P2(a4,a2)),
% 126.95/127.05 inference(scs_inference,[],[4,2,7,56,38,48,46,20,23,15,10,28,19,18,11])).
% 126.95/127.05 cnf(90,plain,
% 126.95/127.05 (P1(f7(a4,a4))),
% 126.95/127.05 inference(scs_inference,[],[4,2,7,56,38,48,46,20,23,15,10,28,19,18,11,16])).
% 126.95/127.05 cnf(92,plain,
% 126.95/127.05 (P2(f7(a2,a4),f7(a4,a4))),
% 126.95/127.05 inference(scs_inference,[],[4,2,7,56,38,48,46,20,23,15,10,28,19,18,11,16,27])).
% 126.95/127.05 cnf(94,plain,
% 126.95/127.05 (P2(f3(a2,a4),f3(a4,a4))),
% 126.95/127.05 inference(scs_inference,[],[4,2,7,56,38,48,46,20,23,15,10,28,19,18,11,16,27,26])).
% 126.95/127.05 cnf(96,plain,
% 126.95/127.05 (P2(f7(a4,a4),f7(a4,a4))),
% 126.95/127.05 inference(scs_inference,[],[4,2,7,56,38,48,46,20,23,15,10,28,19,18,11,16,27,26,25])).
% 126.95/127.05 cnf(98,plain,
% 126.95/127.05 (P2(f3(a4,a4),f3(a4,a4))),
% 126.95/127.05 inference(scs_inference,[],[4,2,7,56,38,48,46,20,23,15,10,28,19,18,11,16,27,26,25,24])).
% 126.95/127.05 cnf(100,plain,
% 126.95/127.05 (P2(f7(a4,f6(a4)),a4)),
% 126.95/127.05 inference(scs_inference,[],[4,2,7,56,38,48,46,20,23,15,10,28,19,18,11,16,27,26,25,24,22])).
% 126.95/127.05 cnf(102,plain,
% 126.95/127.05 (P2(f7(a4,f7(a4,a4)),f7(f7(a4,a4),a4))),
% 126.95/127.05 inference(scs_inference,[],[4,2,7,56,38,48,46,20,23,15,10,28,19,18,11,16,27,26,25,24,22,30])).
% 126.95/127.05 cnf(104,plain,
% 126.95/127.05 (P2(f3(a4,f3(a4,a4)),f3(f3(a4,a4),a4))),
% 126.95/127.05 inference(scs_inference,[],[4,2,7,56,38,48,46,20,23,15,10,28,19,18,11,16,27,26,25,24,22,30,29])).
% 126.95/127.05 cnf(106,plain,
% 126.95/127.05 (P2(f3(f7(a4,a4),f7(a4,a4)),f7(f3(a4,a4),a4))),
% 126.95/127.05 inference(scs_inference,[],[4,2,7,56,38,48,46,20,23,15,10,28,19,18,11,16,27,26,25,24,22,30,29,31])).
% 126.95/127.05 cnf(108,plain,
% 126.95/127.05 (~P3(f7(a1,a1),x1081)+P3(a1,x1081)),
% 126.95/127.05 inference(scs_inference,[],[4,2,7,56,38,48,46,20,23,15,10,28,19,18,11,16,27,26,25,24,22,30,29,31,21])).
% 126.95/127.05 cnf(113,plain,
% 126.95/127.05 (~P2(a2,f3(a1,f5(a1)))),
% 126.95/127.05 inference(scs_inference,[],[6,7,42,11,18])).
% 126.95/127.05 cnf(115,plain,
% 126.95/127.05 (P2(f7(a2,f7(a2,a2)),f7(f7(a2,a2),a2))),
% 126.95/127.05 inference(scs_inference,[],[6,7,3,42,11,18,30])).
% 126.95/127.05 cnf(117,plain,
% 126.95/127.05 (P2(f3(a2,f3(a2,a2)),f3(f3(a2,a2),a2))),
% 126.95/127.05 inference(scs_inference,[],[6,7,3,42,11,18,30,29])).
% 126.95/127.05 cnf(119,plain,
% 126.95/127.05 (P2(f3(f7(a2,a2),f7(a2,a2)),f7(f3(a2,a2),a2))),
% 126.95/127.05 inference(scs_inference,[],[6,7,3,42,11,18,30,29,31])).
% 126.95/127.05 cnf(121,plain,
% 126.95/127.05 (P3(a2,a2)),
% 126.95/127.05 inference(scs_inference,[],[6,7,3,42,11,18,30,29,31,12])).
% 126.95/127.05 cnf(125,plain,
% 126.95/127.05 (P2(f7(a2,a1),a1)),
% 126.95/127.05 inference(scs_inference,[],[58,36,18])).
% 126.95/127.05 cnf(127,plain,
% 126.95/127.05 (P2(f7(f3(a1,a1),a1),f3(f7(a1,a1),f7(a1,a1)))),
% 126.95/127.05 inference(scs_inference,[],[72,58,36,18,11])).
% 126.95/127.05 cnf(129,plain,
% 126.95/127.05 (P3(a4,a2)),
% 126.95/127.05 inference(scs_inference,[],[72,121,58,36,4,18,11,20])).
% 126.95/127.05 cnf(133,plain,
% 126.95/127.05 (~P3(x1331,a4)+P3(x1331,a2)),
% 126.95/127.05 inference(scs_inference,[],[72,121,58,36,4,18,11,20,19,21])).
% 126.95/127.05 cnf(137,plain,
% 126.95/127.05 (~P2(f6(a2),f7(a2,f6(a2)))),
% 126.95/127.05 inference(scs_inference,[],[7,66,113,11,18])).
% 126.95/127.05 cnf(139,plain,
% 126.95/127.05 (P2(f7(a4,a2),a2)),
% 126.95/127.05 inference(scs_inference,[],[7,3,66,113,11,18,14])).
% 126.95/127.05 cnf(141,plain,
% 126.95/127.05 (P2(f3(a1,a2),a2)),
% 126.95/127.05 inference(scs_inference,[],[7,3,66,113,11,18,14,13])).
% 126.95/127.05 cnf(143,plain,
% 126.95/127.05 (P1(f5(a2))),
% 126.95/127.05 inference(scs_inference,[],[7,3,66,113,11,18,14,13,8])).
% 126.95/127.05 cnf(145,plain,
% 126.95/127.05 (P2(a4,a4)),
% 126.95/127.05 inference(scs_inference,[],[7,3,2,66,113,11,18,14,13,8,9])).
% 126.95/127.05 cnf(147,plain,
% 126.95/127.05 (P2(f3(a2,f5(a2)),a1)),
% 126.95/127.05 inference(scs_inference,[],[7,3,2,66,113,11,18,14,13,8,9,17])).
% 126.95/127.05 cnf(155,plain,
% 126.95/127.05 (~P2(x1551,f6(a2))+~P3(a4,f6(a2))+~P3(x1551,a4)),
% 126.95/127.05 inference(scs_inference,[],[7,3,2,54,66,113,11,18,14,13,8,9,17,19,12,21,20])).
% 126.95/127.05 cnf(157,plain,
% 126.95/127.05 (P2(f7(f3(a4,a4),a4),f3(f7(a4,a4),f7(a4,a4)))),
% 126.95/127.05 inference(scs_inference,[],[106,11])).
% 126.95/127.05 cnf(161,plain,
% 126.95/127.05 (P3(f3(a1,a2),f3(a1,a2))),
% 126.95/127.05 inference(scs_inference,[],[33,3,127,106,72,11,18,28])).
% 126.95/127.05 cnf(163,plain,
% 126.95/127.05 (P1(f7(a2,a2))),
% 126.95/127.05 inference(scs_inference,[],[33,3,127,106,72,11,18,28,16])).
% 126.95/127.05 cnf(165,plain,
% 126.95/127.05 (P1(f3(a2,a2))),
% 126.95/127.05 inference(scs_inference,[],[33,3,127,106,72,11,18,28,16,15])).
% 126.95/127.05 cnf(169,plain,
% 126.95/127.05 (P2(f7(a2,a2),f7(a2,a2))),
% 126.95/127.05 inference(scs_inference,[],[33,3,64,127,106,72,11,18,28,16,15,27,25])).
% 126.95/127.05 cnf(173,plain,
% 126.95/127.05 (P3(a1,f7(f3(a1,a1),f3(a1,a1)))),
% 126.95/127.05 inference(scs_inference,[],[33,3,64,127,106,74,72,11,18,28,16,15,27,25,24,23])).
% 126.95/127.05 cnf(179,plain,
% 126.95/127.05 (P2(f3(a1,a2),f3(a1,a2))),
% 126.95/127.05 inference(scs_inference,[],[33,3,64,127,106,74,72,76,11,18,28,16,15,27,25,24,23,26,21,19])).
% 126.95/127.05 cnf(181,plain,
% 126.95/127.05 (P3(a2,f3(a1,a2))),
% 126.95/127.05 inference(scs_inference,[],[33,3,64,127,106,141,74,72,76,11,18,28,16,15,27,25,24,23,26,21,19,20])).
% 126.95/127.05 cnf(192,plain,
% 126.95/127.05 (P1(f3(f7(a2,a2),f7(a2,a2)))),
% 126.95/127.05 inference(scs_inference,[],[163,16,15])).
% 126.95/127.05 cnf(204,plain,
% 126.95/127.05 (P3(a4,f3(a1,a2))),
% 126.95/127.05 inference(scs_inference,[],[1,169,163,129,181,16,15,28,27,24,26,25,21])).
% 126.95/127.05 cnf(206,plain,
% 126.95/127.05 (~P2(f7(a2,f6(a2)),f6(a2))),
% 126.95/127.05 inference(scs_inference,[],[1,169,163,129,137,181,16,15,28,27,24,26,25,21,11])).
% 126.95/127.05 cnf(212,plain,
% 126.95/127.05 (~P2(f3(a4,a1),x2121)+P3(x2121,f3(a2,a1))),
% 126.95/127.05 inference(scs_inference,[],[1,169,163,129,157,137,173,181,106,16,15,28,27,24,26,25,21,11,18,19,20])).
% 126.95/127.05 cnf(214,plain,
% 126.95/127.05 (P2(f7(f3(a2,a2),a2),f3(f7(a2,a2),f7(a2,a2)))),
% 126.95/127.05 inference(scs_inference,[],[119,11])).
% 126.95/127.05 cnf(216,plain,
% 126.95/127.05 (~P2(a1,f7(a4,a2))),
% 126.95/127.05 inference(scs_inference,[],[32,119,139,11,18])).
% 126.95/127.05 cnf(220,plain,
% 126.95/127.05 (P3(a4,a4)),
% 126.95/127.05 inference(scs_inference,[],[32,5,2,119,139,11,18,19,12])).
% 126.95/127.05 cnf(222,plain,
% 126.95/127.05 (~P2(a2,f6(a2))),
% 126.95/127.05 inference(scs_inference,[],[86,11])).
% 126.95/127.05 cnf(224,plain,
% 126.95/127.05 (~P2(a1,f7(a4,f6(a4)))),
% 126.95/127.05 inference(scs_inference,[],[5,100,86,11,18])).
% 126.95/127.05 cnf(226,plain,
% 126.95/127.05 (P2(f3(a1,a4),a4)),
% 126.95/127.05 inference(scs_inference,[],[2,5,100,86,11,18,13])).
% 126.95/127.05 cnf(228,plain,
% 126.95/127.05 (P1(f5(a4))),
% 126.95/127.05 inference(scs_inference,[],[2,5,100,86,11,18,13,8])).
% 126.95/127.05 cnf(230,plain,
% 126.95/127.05 (P2(f7(a4,a4),a4)),
% 126.95/127.05 inference(scs_inference,[],[2,5,100,86,11,18,13,8,14])).
% 126.95/127.05 cnf(234,plain,
% 126.95/127.05 (P2(f3(a4,f5(a4)),a1)),
% 126.95/127.05 inference(scs_inference,[],[2,5,100,40,86,11,18,13,8,14,9,17])).
% 126.95/127.05 cnf(246,plain,
% 126.95/127.05 (P3(f3(a1,a4),f3(a1,a4))),
% 126.95/127.05 inference(scs_inference,[],[2,33,28])).
% 126.95/127.05 cnf(248,plain,
% 126.95/127.05 (P3(a4,f3(a1,a4))),
% 126.95/127.05 inference(scs_inference,[],[2,33,226,28,20])).
% 126.95/127.05 cnf(252,plain,
% 126.95/127.05 (P2(a1,f7(a4,a1))),
% 126.95/127.05 inference(scs_inference,[],[2,36,33,226,28,20,19,11])).
% 126.95/127.05 cnf(254,plain,
% 126.95/127.05 (~P2(f7(a4,a1),a2)),
% 126.95/127.05 inference(scs_inference,[],[2,36,32,33,226,28,20,19,11,18])).
% 126.95/127.05 cnf(258,plain,
% 126.95/127.05 (P3(f3(f3(a1,a4),a2),f3(f3(a1,a4),a2))),
% 126.95/127.06 inference(scs_inference,[],[3,246,28])).
% 126.95/127.06 cnf(260,plain,
% 126.95/127.06 (~P2(f7(a4,f6(a4)),a1)),
% 126.95/127.06 inference(scs_inference,[],[3,246,224,28,11])).
% 126.95/127.06 cnf(292,plain,
% 126.95/127.06 (P2(f3(f3(a1,a1),a2),f3(a1,a2))),
% 126.95/127.06 inference(scs_inference,[],[3,38,52,27,24,16,15,26])).
% 126.95/127.06 cnf(298,plain,
% 126.95/127.06 (P2(a1,f3(a1,a1))),
% 126.95/127.06 inference(scs_inference,[],[3,38,258,52,27,24,16,15,26,25,19,11])).
% 126.95/127.06 cnf(300,plain,
% 126.95/127.06 (~P2(f7(a4,f6(a4)),f7(a2,a1))),
% 126.95/127.06 inference(scs_inference,[],[3,38,258,125,52,260,27,24,16,15,26,25,19,11,18])).
% 126.95/127.06 cnf(306,plain,
% 126.95/127.06 (~P2(f7(a2,a1),f7(a4,f6(a4)))),
% 126.95/127.06 inference(scs_inference,[],[300,11])).
% 126.95/127.06 cnf(308,plain,
% 126.95/127.06 (~P2(f3(a1,a1),a4)),
% 126.95/127.06 inference(scs_inference,[],[5,300,298,11,18])).
% 126.95/127.06 cnf(310,plain,
% 126.95/127.06 (P1(f5(f5(a1)))),
% 126.95/127.06 inference(scs_inference,[],[5,40,300,298,11,18,8])).
% 126.95/127.06 cnf(312,plain,
% 126.95/127.06 (P2(f7(a4,f5(a1)),f5(a1))),
% 126.95/127.06 inference(scs_inference,[],[5,40,300,298,11,18,8,14])).
% 126.95/127.06 cnf(314,plain,
% 126.95/127.06 (P2(f3(a1,f5(a1)),f5(a1))),
% 126.95/127.06 inference(scs_inference,[],[5,40,300,298,11,18,8,14,13])).
% 126.95/127.06 cnf(318,plain,
% 126.95/127.06 (P2(f3(f5(a1),f5(f5(a1))),a1)),
% 126.95/127.06 inference(scs_inference,[],[5,40,300,80,298,11,18,8,14,13,9,17])).
% 126.95/127.06 cnf(326,plain,
% 126.95/127.06 (P3(f3(a1,f5(a1)),f3(a1,f5(a1)))),
% 126.95/127.06 inference(scs_inference,[],[5,40,33,300,80,298,204,11,18,8,14,13,9,17,19,10,22,28])).
% 126.95/127.06 cnf(332,plain,
% 126.95/127.06 (P2(f3(f3(a1,a1),a1),f3(a1,f3(a1,a1)))),
% 126.95/127.06 inference(scs_inference,[],[40,70,326,248,28,19,11])).
% 126.95/127.06 cnf(334,plain,
% 126.95/127.06 (~P2(a4,f7(a2,a1))),
% 126.95/127.06 inference(scs_inference,[],[40,70,326,248,100,300,28,19,11,18])).
% 126.95/127.06 cnf(338,plain,
% 126.95/127.06 (P3(f5(a1),f3(a1,f5(a1)))),
% 126.95/127.06 inference(scs_inference,[],[40,70,326,314,248,100,300,28,19,11,18,21,20])).
% 126.95/127.06 cnf(346,plain,
% 126.95/127.06 (P3(f5(a1),f5(a1))),
% 126.95/127.06 inference(scs_inference,[],[40,332,306,216,70,18,11,19,12])).
% 126.95/127.06 cnf(355,plain,
% 126.95/127.06 (P3(a1,f3(a1,f5(a1)))),
% 126.95/127.06 inference(scs_inference,[],[42,326,20])).
% 126.95/127.06 cnf(357,plain,
% 126.95/127.06 (~P2(f3(a1,a1),a2)),
% 126.95/127.06 inference(scs_inference,[],[32,42,298,326,20,18])).
% 126.95/127.06 cnf(359,plain,
% 126.95/127.06 (P2(a1,f3(a1,f5(a1)))),
% 126.95/127.06 inference(scs_inference,[],[32,42,298,326,20,18,11])).
% 126.95/127.06 cnf(361,plain,
% 126.95/127.06 (P2(f7(f3(a1,f5(a1)),f5(a1)),f7(a1,f5(a1)))),
% 126.95/127.06 inference(scs_inference,[],[32,42,40,298,326,20,18,11,27])).
% 126.95/127.06 cnf(363,plain,
% 126.95/127.06 (P1(f3(f5(a1),f5(a1)))),
% 126.95/127.06 inference(scs_inference,[],[32,42,40,298,326,20,18,11,27,15])).
% 126.95/127.06 cnf(367,plain,
% 126.95/127.06 (P2(f3(f3(a1,f5(a1)),f5(a1)),f3(a1,f5(a1)))),
% 126.95/127.06 inference(scs_inference,[],[32,42,40,298,326,20,18,11,27,15,24,26])).
% 126.95/127.06 cnf(369,plain,
% 126.95/127.06 (P1(f7(f5(a1),f5(a1)))),
% 126.95/127.06 inference(scs_inference,[],[32,42,40,298,326,20,18,11,27,15,24,26,16])).
% 126.95/127.06 cnf(384,plain,
% 126.95/127.06 (P1(f3(f3(a4,a4),f3(a4,a4)))),
% 126.95/127.06 inference(scs_inference,[],[34,40,78,27,15])).
% 126.95/127.06 cnf(388,plain,
% 126.95/127.06 (P1(f7(f3(a4,a4),f3(a4,a4)))),
% 126.95/127.06 inference(scs_inference,[],[34,40,78,27,15,24,16])).
% 126.95/127.06 cnf(392,plain,
% 126.95/127.06 (P2(f3(f7(a4,a1),f5(a1)),f3(a1,f5(a1)))),
% 126.95/127.06 inference(scs_inference,[],[34,36,40,78,27,15,24,16,25,26])).
% 126.95/127.06 cnf(394,plain,
% 126.95/127.06 (~P2(f7(a2,a1),a4)),
% 126.95/127.06 inference(scs_inference,[],[34,36,40,334,78,27,15,24,16,25,26,11])).
% 126.95/127.06 cnf(396,plain,
% 126.95/127.06 (P2(f7(a4,f3(a4,a4)),f3(a4,a4))),
% 126.95/127.06 inference(scs_inference,[],[34,36,40,334,78,27,15,24,16,25,26,11,14])).
% 126.95/127.06 cnf(398,plain,
% 126.95/127.06 (P2(f3(a1,f3(a4,a4)),f3(a4,a4))),
% 126.95/127.06 inference(scs_inference,[],[34,36,40,334,78,27,15,24,16,25,26,11,14,13])).
% 126.95/127.06 cnf(404,plain,
% 126.95/127.06 (P2(f3(f3(a4,a4),f5(f3(a4,a4))),a1)),
% 126.95/127.06 inference(scs_inference,[],[34,36,40,369,310,334,78,27,15,24,16,25,26,11,14,13,8,9,17])).
% 126.95/127.06 cnf(412,plain,
% 126.95/127.06 (P2(f7(f7(a1,a1),a1),f7(a1,f7(a1,a1)))),
% 126.95/127.06 inference(scs_inference,[],[68,11])).
% 126.95/127.06 cnf(414,plain,
% 126.95/127.06 (P2(f7(a4,a4),a1)+P2(f7(f7(a4,a4),f6(f7(a4,a4))),a4)),
% 126.95/127.06 inference(scs_inference,[],[68,90,11,22])).
% 126.95/127.06 cnf(416,plain,
% 126.95/127.06 (P3(f3(a1,f7(a4,a4)),f3(a1,f7(a4,a4)))),
% 126.95/127.06 inference(scs_inference,[],[33,68,90,11,22,28])).
% 126.95/127.06 cnf(422,plain,
% 126.95/127.06 (~P2(x4221,f7(a2,f6(a2)))+~P2(f6(a2),x4221)),
% 126.95/127.06 inference(scs_inference,[],[33,388,68,206,90,137,11,22,28,10,19,18])).
% 126.95/127.06 cnf(424,plain,
% 126.95/127.06 (P3(f3(a1,f5(a1)),f3(f7(a1,a1),f5(a1)))),
% 126.95/127.06 inference(scs_inference,[],[48,40,28])).
% 126.95/127.06 cnf(426,plain,
% 126.95/127.06 (P3(f7(a4,a1),f7(a1,a1))),
% 126.95/127.06 inference(scs_inference,[],[48,40,252,28,20])).
% 126.95/127.06 cnf(434,plain,
% 126.95/127.06 (P3(f5(a1),f3(f7(a1,a1),f5(a1)))),
% 126.95/127.06 inference(scs_inference,[],[48,40,412,416,252,338,308,68,28,20,19,18,11,21])).
% 126.95/127.06 cnf(444,plain,
% 126.95/127.06 (~P2(f3(a1,f5(a1)),f7(a4,f6(a4)))),
% 126.95/127.06 inference(scs_inference,[],[359,224,18])).
% 126.95/127.06 cnf(448,plain,
% 126.95/127.06 (P2(f7(a4,f7(a1,a1)),f7(a1,a1))),
% 126.95/127.06 inference(scs_inference,[],[50,359,357,224,18,11,14])).
% 126.95/127.06 cnf(450,plain,
% 126.95/127.06 (P2(f3(a1,f7(a1,a1)),f7(a1,a1))),
% 126.95/127.06 inference(scs_inference,[],[50,359,357,224,18,11,14,13])).
% 126.95/127.06 cnf(452,plain,
% 126.95/127.06 (P1(f5(f7(a1,a1)))),
% 126.95/127.06 inference(scs_inference,[],[50,359,357,224,18,11,14,13,8])).
% 126.95/127.06 cnf(456,plain,
% 126.95/127.06 (P2(f3(f7(a1,a1),f5(f7(a1,a1))),a1)),
% 126.95/127.06 inference(scs_inference,[],[50,359,143,357,224,18,11,14,13,8,9,17])).
% 126.95/127.06 cnf(458,plain,
% 126.95/127.06 (P2(f7(f7(a4,a1),f7(a1,a1)),f7(a1,f7(a1,a1)))),
% 126.95/127.06 inference(scs_inference,[],[36,50,359,143,357,224,18,11,14,13,8,9,17,27])).
% 126.95/127.06 cnf(460,plain,
% 126.95/127.06 (P1(f7(f7(a1,a1),f7(a1,a1)))),
% 126.95/127.06 inference(scs_inference,[],[36,50,359,143,357,224,18,11,14,13,8,9,17,27,16])).
% 126.95/127.06 cnf(462,plain,
% 126.95/127.06 (P1(f3(f7(a1,a1),f7(a1,a1)))),
% 126.95/127.06 inference(scs_inference,[],[36,50,359,143,357,224,18,11,14,13,8,9,17,27,16,15])).
% 126.95/127.06 cnf(468,plain,
% 126.95/127.06 (P2(f3(f7(a4,a1),f7(a1,a1)),f3(a1,f7(a1,a1)))),
% 126.95/127.06 inference(scs_inference,[],[36,50,359,143,357,224,18,11,14,13,8,9,17,27,16,15,25,24,26])).
% 126.95/127.06 cnf(476,plain,
% 126.95/127.06 (P2(f7(f3(a1,a1),f7(a1,a1)),f7(a1,f7(a1,a1)))),
% 126.95/127.06 inference(scs_inference,[],[38,50,27])).
% 126.95/127.06 cnf(484,plain,
% 126.95/127.06 (P2(f3(f3(a1,a1),f7(a1,a1)),f3(a1,f7(a1,a1)))),
% 126.95/127.06 inference(scs_inference,[],[38,50,228,27,16,15,24,26])).
% 126.95/127.06 cnf(488,plain,
% 126.95/127.06 (P3(f7(a4,a1),f3(a1,f5(a1)))),
% 126.95/127.06 inference(scs_inference,[],[38,50,228,355,252,27,16,15,24,26,25,20])).
% 126.95/127.06 cnf(494,plain,
% 126.95/127.06 (P3(f7(a1,a1),f7(a1,a1))),
% 126.95/127.06 inference(scs_inference,[],[36,38,50,104,228,355,252,27,16,15,24,26,25,20,18,11,12])).
% 126.95/127.06 cnf(498,plain,
% 126.95/127.06 (~P2(a4,f3(a1,f5(a1)))),
% 126.95/127.06 inference(scs_inference,[],[46,42,18])).
% 126.95/127.06 cnf(502,plain,
% 126.95/127.06 (P3(f5(f7(a1,a1)),f5(f7(a1,a1)))),
% 126.95/127.06 inference(scs_inference,[],[46,42,452,444,18,11,12])).
% 126.95/127.06 cnf(514,plain,
% 126.95/127.06 (~P2(f3(a1,f5(a1)),f7(a4,a2))),
% 126.95/127.06 inference(scs_inference,[],[52,426,359,216,28,18])).
% 126.95/127.06 cnf(516,plain,
% 126.95/127.06 (P2(f7(a1,f7(a1,a1)),f7(f3(a1,a1),f7(a1,a1)))),
% 126.95/127.06 inference(scs_inference,[],[52,476,426,359,216,28,18,11])).
% 126.95/127.06 cnf(518,plain,
% 126.95/127.06 (P3(a1,f3(f7(a1,a1),f5(a1)))),
% 126.95/127.06 inference(scs_inference,[],[52,42,476,426,424,359,216,28,18,11,20])).
% 126.95/127.06 cnf(530,plain,
% 126.95/127.06 (P2(f3(a1,f5(a1)),f3(a1,a1))),
% 126.95/127.06 inference(scs_inference,[],[42,502,298,19,18])).
% 126.95/127.06 cnf(532,plain,
% 126.95/127.06 (~P2(f3(a1,f5(a1)),a4)),
% 126.95/127.06 inference(scs_inference,[],[42,498,502,298,19,18,11])).
% 126.95/127.06 cnf(534,plain,
% 126.95/127.06 (P2(f3(a1,f6(a2)),f6(a2))),
% 126.95/127.06 inference(scs_inference,[],[54,42,498,502,298,19,18,11,13])).
% 126.95/127.06 cnf(536,plain,
% 126.95/127.06 (P1(f5(f6(a2)))),
% 126.95/127.06 inference(scs_inference,[],[54,42,498,502,298,19,18,11,13,8])).
% 126.95/127.06 cnf(538,plain,
% 126.95/127.06 (P2(f7(a4,f6(a2)),f6(a2))),
% 126.95/127.06 inference(scs_inference,[],[54,42,498,502,298,19,18,11,13,8,14])).
% 126.95/127.06 cnf(542,plain,
% 126.95/127.06 (P2(f3(f6(a2),f5(f6(a2))),a1)),
% 126.95/127.06 inference(scs_inference,[],[54,42,498,502,298,19,18,11,13,8,14,9,17])).
% 126.95/127.06 cnf(544,plain,
% 126.95/127.06 (P3(f6(a2),f6(a2))),
% 126.95/127.06 inference(scs_inference,[],[54,42,498,502,298,19,18,11,13,8,14,9,17,12])).
% 126.95/127.06 cnf(546,plain,
% 126.95/127.06 (P2(f7(f7(a4,a1),f7(a1,a1)),f7(f3(a1,a1),f7(a1,a1)))),
% 126.95/127.06 inference(scs_inference,[],[516,458,18])).
% 126.95/127.06 cnf(548,plain,
% 126.95/127.06 (P2(f7(f7(a2,a2),a2),f7(a2,f7(a2,a2)))),
% 126.95/127.06 inference(scs_inference,[],[516,115,458,18,11])).
% 126.95/127.06 cnf(554,plain,
% 126.95/127.06 (P2(f7(f3(a1,f5(a1)),f3(a1,a1)),f7(a1,f3(a1,a1)))),
% 126.95/127.06 inference(scs_inference,[],[52,54,42,516,115,458,534,18,11,155,24,27])).
% 126.95/127.06 cnf(556,plain,
% 126.95/127.06 (P2(f3(f3(a1,f5(a1)),f3(a1,a1)),f3(a1,f3(a1,a1)))),
% 126.95/127.06 inference(scs_inference,[],[52,54,42,516,115,458,534,18,11,155,24,27,26])).
% 126.95/127.06 cnf(558,plain,
% 126.95/127.06 (P1(f7(f6(a2),f6(a2)))),
% 126.95/127.06 inference(scs_inference,[],[52,54,42,516,115,458,534,18,11,155,24,27,26,16])).
% 126.95/127.06 cnf(582,plain,
% 126.95/127.06 (P3(f3(a1,f5(a1)),f7(a1,a1))),
% 126.95/127.06 inference(scs_inference,[],[48,52,179,80,359,24,27,26,15,25,16,20])).
% 126.95/127.06 cnf(584,plain,
% 126.95/127.06 (~P2(f7(a4,a2),f3(a1,f5(a1)))),
% 126.95/127.06 inference(scs_inference,[],[48,52,179,514,80,359,24,27,26,15,25,16,20,11])).
% 126.95/127.06 cnf(594,plain,
% 126.95/127.06 (~P2(f3(a1,a1),f7(a4,f6(a4)))),
% 126.95/127.06 inference(scs_inference,[],[56,52,224,298,28,18])).
% 126.95/127.06 cnf(596,plain,
% 126.95/127.06 (P2(f3(f3(a2,a2),a2),f3(a2,f3(a2,a2)))),
% 126.95/127.06 inference(scs_inference,[],[56,52,117,224,298,28,18,11])).
% 126.95/127.06 cnf(604,plain,
% 126.95/127.06 (P3(f3(f6(a2),f3(a1,a1)),f3(f6(a2),f3(a1,a1)))),
% 126.95/127.06 inference(scs_inference,[],[52,544,28])).
% 126.95/127.06 cnf(608,plain,
% 126.95/127.06 (~P2(f7(a4,f6(a4)),f3(a1,a1))),
% 126.95/127.06 inference(scs_inference,[],[52,596,594,544,117,28,18,11])).
% 126.95/127.06 cnf(610,plain,
% 126.95/127.06 (P2(f3(a1,f3(a1,a1)),f3(a1,a1))),
% 126.95/127.06 inference(scs_inference,[],[52,596,594,544,117,28,18,11,13])).
% 126.95/127.06 cnf(612,plain,
% 126.95/127.06 (P1(f5(f3(a1,a1)))),
% 126.95/127.06 inference(scs_inference,[],[52,596,594,544,117,28,18,11,13,8])).
% 126.95/127.06 cnf(614,plain,
% 126.95/127.06 (P2(f7(a4,f3(a1,a1)),f3(a1,a1))),
% 126.95/127.06 inference(scs_inference,[],[52,596,594,544,117,28,18,11,13,8,14])).
% 126.95/127.06 cnf(618,plain,
% 126.95/127.06 (P2(f3(f3(a1,a1),f5(f3(a1,a1))),a1)),
% 126.95/127.06 inference(scs_inference,[],[52,596,594,536,544,117,28,18,11,13,8,14,9,17])).
% 126.95/127.06 cnf(628,plain,
% 126.95/127.06 (~P2(f7(a4,f6(a4)),f3(a1,f3(a1,a1)))),
% 126.95/127.06 inference(scs_inference,[],[610,608,604,19,18])).
% 126.95/127.06 cnf(630,plain,
% 126.95/127.07 (P2(f7(a4,a1),f7(a2,a1))),
% 126.95/127.07 inference(scs_inference,[],[58,610,608,604,19,18,11])).
% 126.95/127.07 cnf(632,plain,
% 126.95/127.07 (P3(f3(f3(a1,a1),f6(a2)),f3(f3(a1,a1),f6(a2)))),
% 126.95/127.07 inference(scs_inference,[],[58,56,54,610,608,604,19,18,11,28])).
% 126.95/127.07 cnf(634,plain,
% 126.95/127.07 (P3(f3(a1,f6(a2)),f3(f7(a1,a1),f6(a2)))),
% 126.95/127.07 inference(scs_inference,[],[48,54,28])).
% 126.95/127.07 cnf(638,plain,
% 126.95/127.07 (~P2(a4,f3(a1,f3(a1,a1)))),
% 126.95/127.07 inference(scs_inference,[],[48,54,628,632,100,28,19,18])).
% 126.95/127.07 cnf(640,plain,
% 126.95/127.07 (~P2(f3(a1,f3(a1,a1)),f7(a4,f6(a4)))),
% 126.95/127.07 inference(scs_inference,[],[48,54,628,632,100,28,19,18,11])).
% 126.95/127.07 cnf(642,plain,
% 126.95/127.07 (P1(f3(f7(a4,a4),f7(a4,a4)))),
% 126.95/127.07 inference(scs_inference,[],[48,54,628,632,100,90,28,19,18,11,15])).
% 126.95/127.07 cnf(652,plain,
% 126.95/127.07 (P1(f7(f7(a4,a4),f7(a4,a4)))),
% 126.95/127.07 inference(scs_inference,[],[48,60,54,628,632,100,90,28,19,18,11,15,25,24,27,26,16])).
% 126.95/127.07 cnf(658,plain,
% 126.95/127.07 (P1(f3(f5(a2),f5(a2)))),
% 126.95/127.07 inference(scs_inference,[],[143,15])).
% 126.95/127.07 cnf(662,plain,
% 126.95/127.07 (P2(f7(f3(a2,a1),f7(a1,a1)),f7(f3(a4,a1),f7(a1,a1)))),
% 126.95/127.07 inference(scs_inference,[],[60,50,143,15,25,27])).
% 126.95/127.07 cnf(664,plain,
% 126.95/127.07 (P2(f3(f3(a2,a1),f7(a1,a1)),f3(f3(a4,a1),f7(a1,a1)))),
% 126.95/127.07 inference(scs_inference,[],[60,50,143,15,25,27,26])).
% 126.95/127.07 cnf(672,plain,
% 126.95/127.07 (P2(f3(a4,a1),f3(a2,a1))),
% 126.95/127.07 inference(scs_inference,[],[60,50,548,634,115,534,143,15,25,27,26,16,20,18,11])).
% 126.95/127.07 cnf(674,plain,
% 126.95/127.07 (P3(f3(a2,a1),f3(a2,a1))),
% 126.95/127.07 inference(scs_inference,[],[60,50,548,634,115,534,143,15,25,27,26,16,20,18,11,212])).
% 126.95/127.07 cnf(686,plain,
% 126.95/127.07 (~P2(f3(a1,f3(a1,a1)),a4)),
% 126.95/127.07 inference(scs_inference,[],[60,672,638,18,11])).
% 126.95/127.07 cnf(688,plain,
% 126.95/127.07 (P2(f3(a1,f7(a2,a2)),f7(a2,a2))),
% 126.95/127.07 inference(scs_inference,[],[60,672,638,163,18,11,13])).
% 126.95/127.07 cnf(690,plain,
% 126.95/127.07 (P1(f5(f7(f7(a1,a1),f7(a1,a1))))),
% 126.95/127.07 inference(scs_inference,[],[60,460,672,638,163,18,11,13,8])).
% 126.95/127.07 cnf(692,plain,
% 126.95/127.07 (P2(f7(a4,f7(a2,a2)),f7(a2,a2))),
% 126.95/127.07 inference(scs_inference,[],[60,460,672,638,163,18,11,13,8,14])).
% 126.95/127.07 cnf(696,plain,
% 126.95/127.07 (P2(f3(f7(a2,a2),f5(f7(a2,a2))),a1)),
% 126.95/127.07 inference(scs_inference,[],[60,460,612,672,638,163,18,11,13,8,14,9,17])).
% 126.95/127.07 cnf(709,plain,
% 126.95/127.07 (P3(f3(f3(a1,a1),f7(a1,a1)),f3(f3(a1,a1),f7(a1,a1)))),
% 126.95/127.07 inference(scs_inference,[],[50,56,28])).
% 126.95/127.07 cnf(715,plain,
% 126.95/127.07 (P2(f3(a1,f3(a1,a1)),f3(f3(a1,f5(a1)),f3(a1,a1)))),
% 126.95/127.07 inference(scs_inference,[],[50,58,56,556,674,306,28,19,18,11])).
% 126.95/127.07 cnf(721,plain,
% 126.95/127.07 (P3(f5(a1),f7(a1,a1))),
% 126.95/127.07 inference(scs_inference,[],[582,338,21])).
% 126.95/127.07 cnf(731,plain,
% 126.95/127.07 (~P2(f7(a4,a2),f3(f3(a1,f5(a1)),f5(a1)))),
% 126.95/127.07 inference(scs_inference,[],[367,584,18])).
% 126.95/127.07 cnf(733,plain,
% 126.95/127.07 (P2(f3(a1,a1),f3(a1,f5(a1)))),
% 126.95/127.07 inference(scs_inference,[],[530,367,584,18,11])).
% 126.95/127.07 cnf(747,plain,
% 126.95/127.07 (P2(f7(f7(a2,f6(a2)),f6(a2)),f7(a4,f6(a2)))),
% 126.95/127.07 inference(scs_inference,[],[54,66,27])).
% 126.95/127.07 cnf(751,plain,
% 126.95/127.07 (P3(f3(a1,f5(a1)),f3(a1,a1))),
% 126.95/127.07 inference(scs_inference,[],[54,66,74,359,27,26,20])).
% 126.95/127.07 cnf(753,plain,
% 126.95/127.07 (~P2(f3(f3(a1,f5(a1)),f3(a1,a1)),a4)),
% 126.95/127.07 inference(scs_inference,[],[54,66,715,686,74,359,27,26,20,18])).
% 126.95/127.07 cnf(757,plain,
% 126.95/127.07 (P2(f3(a1,f5(a4)),f5(a4))),
% 126.95/127.07 inference(scs_inference,[],[54,66,715,686,731,74,359,228,27,26,20,18,11,13])).
% 126.95/127.07 cnf(759,plain,
% 126.95/127.07 (P1(f5(f7(f6(a2),f6(a2))))),
% 126.95/127.07 inference(scs_inference,[],[54,66,558,715,686,731,74,359,228,27,26,20,18,11,13,8])).
% 126.95/127.07 cnf(761,plain,
% 126.95/127.07 (P2(f7(a4,f5(a4)),f5(a4))),
% 126.95/127.07 inference(scs_inference,[],[54,66,558,715,686,731,74,359,228,27,26,20,18,11,13,8,14])).
% 126.95/127.07 cnf(765,plain,
% 126.95/127.07 (P2(f3(f5(a4),f5(f5(a4))),a1)),
% 126.95/127.07 inference(scs_inference,[],[54,66,558,715,686,731,74,359,228,27,26,20,18,11,13,8,14,9,17])).
% 126.95/127.07 cnf(773,plain,
% 126.95/127.07 (P3(f5(a1),f3(a1,a1))),
% 126.95/127.07 inference(scs_inference,[],[751,338,21])).
% 126.95/127.07 cnf(777,plain,
% 126.95/127.07 (P3(f3(a1,f7(a1,a1)),f3(f3(a1,a1),f7(a1,a1)))),
% 126.95/127.07 inference(scs_inference,[],[54,751,484,709,338,21,28,20])).
% 126.95/127.07 cnf(781,plain,
% 126.95/127.07 (P2(a4,f7(a2,f6(a2)))),
% 126.95/127.07 inference(scs_inference,[],[54,66,58,751,484,630,709,338,21,28,20,18,11])).
% 126.95/127.07 cnf(787,plain,
% 126.95/127.07 (P2(f7(f3(a1,a1),f7(a1,a1)),f7(f7(a1,a1),a1))),
% 126.95/127.07 inference(scs_inference,[],[68,476,18])).
% 126.95/127.07 cnf(791,plain,
% 126.95/127.07 (P3(f3(f7(a4,a4),f7(a4,a4)),f3(f7(a4,a4),f7(a4,a4)))),
% 126.95/127.07 inference(scs_inference,[],[68,642,753,476,18,11,12])).
% 126.95/127.07 cnf(793,plain,
% 126.95/127.07 (P3(f7(a1,a1),f3(f3(a1,a1),f7(a1,a1)))),
% 126.95/127.07 inference(scs_inference,[],[68,642,777,450,753,476,18,11,12,20])).
% 126.95/127.07 cnf(797,plain,
% 126.95/127.07 (P3(a1,f3(f3(a1,a1),f7(a1,a1)))),
% 126.95/127.07 inference(scs_inference,[],[793,108])).
% 126.95/127.07 cnf(799,plain,
% 126.95/127.07 (~P2(a2,f3(f3(a1,f5(a1)),f5(a1)))),
% 126.95/127.07 inference(scs_inference,[],[793,731,139,108,18])).
% 126.95/127.07 cnf(813,plain,
% 126.95/127.07 (~P2(f3(f3(a1,f5(a1)),f5(a1)),a2)),
% 126.95/127.07 inference(scs_inference,[],[546,799,787,18,11])).
% 126.95/127.07 cnf(815,plain,
% 126.95/127.07 (P2(f3(a1,f3(a2,a2)),f3(a2,a2))),
% 126.95/127.07 inference(scs_inference,[],[546,799,787,165,18,11,13])).
% 126.95/127.07 cnf(819,plain,
% 126.95/127.07 (P2(f7(a4,f3(a2,a2)),f3(a2,a2))),
% 126.95/127.07 inference(scs_inference,[],[652,546,799,787,165,18,11,13,8,14])).
% 126.95/127.07 cnf(821,plain,
% 126.95/127.07 (P2(f3(f3(a2,a2),f5(f3(a2,a2))),a1)),
% 126.95/127.07 inference(scs_inference,[],[652,546,799,787,165,18,11,13,8,14,17])).
% 126.95/127.07 cnf(823,plain,
% 126.95/127.07 (P2(f7(f7(a2,a1),f3(a2,a2)),f7(f7(a4,a1),f3(a2,a2)))),
% 126.95/127.07 inference(scs_inference,[],[58,652,546,799,787,165,18,11,13,8,14,17,27])).
% 126.95/127.07 cnf(825,plain,
% 126.95/127.07 (P2(f3(f7(a2,a1),f3(a2,a2)),f3(f7(a4,a1),f3(a2,a2)))),
% 126.95/127.07 inference(scs_inference,[],[58,652,546,799,787,165,18,11,13,8,14,17,27,26])).
% 126.95/127.07 cnf(836,plain,
% 126.95/127.07 (~P2(f3(a1,f5(a1)),f7(a2,f6(a2)))),
% 126.95/127.07 inference(scs_inference,[],[66,532,18])).
% 126.95/127.07 cnf(850,plain,
% 126.95/127.07 (~P2(f3(f3(a1,a1),a1),f7(a4,f6(a4)))),
% 126.95/127.07 inference(scs_inference,[],[70,640,18])).
% 126.95/127.07 cnf(852,plain,
% 126.95/127.07 (~P2(f7(a2,f6(a2)),f3(a1,f5(a1)))),
% 126.95/127.07 inference(scs_inference,[],[70,836,640,18,11])).
% 126.95/127.07 cnf(864,plain,
% 126.95/127.07 (P2(f3(f3(a1,a1),a2),a2)),
% 126.95/127.07 inference(scs_inference,[],[292,797,141,252,20,18])).
% 126.95/127.07 cnf(866,plain,
% 126.95/127.07 (P2(f3(a1,a2),f3(f3(a1,a1),a2))),
% 126.95/127.07 inference(scs_inference,[],[292,797,141,252,20,18,11])).
% 126.95/127.07 cnf(872,plain,
% 126.95/127.07 (~P2(f7(a2,a1),f7(a2,f6(a2)))),
% 126.95/127.07 inference(scs_inference,[],[66,394,18])).
% 126.95/127.07 cnf(874,plain,
% 126.95/127.07 (~P2(f7(a4,f6(a4)),f3(f3(a1,a1),a1))),
% 126.95/127.07 inference(scs_inference,[],[66,850,394,18,11])).
% 126.95/127.07 cnf(876,plain,
% 126.95/127.07 (P2(f3(a1,f5(a2)),f5(a2))),
% 126.95/127.07 inference(scs_inference,[],[66,850,394,143,18,11,13])).
% 126.95/127.07 cnf(880,plain,
% 126.95/127.07 (P2(f7(a4,f5(a2)),f5(a2))),
% 126.95/127.07 inference(scs_inference,[],[66,850,462,394,143,18,11,13,8,14])).
% 126.95/127.07 cnf(882,plain,
% 126.95/127.07 (P2(f3(f5(a2),f5(f5(a2))),a1)),
% 126.95/127.07 inference(scs_inference,[],[66,850,462,394,143,18,11,13,8,14,17])).
% 126.95/127.07 cnf(887,plain,
% 126.95/127.07 (~P2(a4,f3(f3(a1,a1),a1))),
% 126.95/127.07 inference(scs_inference,[],[874,100,18])).
% 126.95/127.07 cnf(898,plain,
% 126.95/127.07 (P2(f3(f7(a4,a1),f7(a1,a1)),f7(a1,a1))),
% 126.95/127.07 inference(scs_inference,[],[468,450,18])).
% 126.95/127.07 cnf(907,plain,
% 126.95/127.07 (~P2(f3(a1,f3(a1,a1)),f7(a2,f6(a2)))),
% 126.95/127.07 inference(scs_inference,[],[66,686,18])).
% 126.95/127.07 cnf(909,plain,
% 126.95/127.07 (P2(f7(a1,a1),f3(f7(a4,a1),f7(a1,a1)))),
% 126.95/127.07 inference(scs_inference,[],[66,898,686,18,11])).
% 126.95/127.07 cnf(919,plain,
% 126.95/127.07 (P2(f7(f7(a2,f6(a2)),f3(a4,a4)),f7(a4,f3(a4,a4)))),
% 126.95/127.07 inference(scs_inference,[],[66,78,27])).
% 126.95/127.07 cnf(921,plain,
% 126.95/127.07 (P2(f3(f7(a2,f6(a2)),f3(a4,a4)),f3(a4,f3(a4,a4)))),
% 126.95/127.07 inference(scs_inference,[],[66,78,27,26])).
% 126.95/127.07 cnf(923,plain,
% 126.95/127.07 (P3(f3(f7(a4,a1),f7(a1,a1)),f7(a1,a1))),
% 126.95/127.07 inference(scs_inference,[],[66,78,909,494,27,26,20])).
% 126.95/127.07 cnf(927,plain,
% 126.95/127.07 (~P2(f7(a2,f6(a2)),f3(a1,f3(a1,a1)))),
% 126.95/127.07 inference(scs_inference,[],[66,70,78,907,909,494,27,26,20,18,11])).
% 126.95/127.07 cnf(929,plain,
% 126.95/127.07 (P2(f3(a1,f7(a4,a4)),f7(a4,a4))),
% 126.95/127.07 inference(scs_inference,[],[66,70,78,907,909,494,90,27,26,20,18,11,13])).
% 126.95/127.07 cnf(933,plain,
% 126.95/127.07 (P2(f7(a4,f7(a4,a4)),f7(a4,a4))),
% 126.95/127.07 inference(scs_inference,[],[66,70,78,907,909,494,90,27,26,20,18,11,13,8,14])).
% 126.95/127.07 cnf(937,plain,
% 126.95/127.07 (P2(f3(f7(a4,a4),f5(f7(a4,a4))),a1)),
% 126.95/127.07 inference(scs_inference,[],[66,70,78,907,909,494,90,27,26,20,18,11,13,8,14,9,17])).
% 126.95/127.07 cnf(939,plain,
% 126.95/127.07 (P3(f3(a4,a4),f3(a4,a4))),
% 126.95/127.07 inference(scs_inference,[],[66,70,78,907,909,494,90,27,26,20,18,11,13,8,14,9,17,12])).
% 126.95/127.07 cnf(941,plain,
% 126.95/127.07 (P3(f3(a1,f3(a4,a4)),f3(f3(a1,a1),f3(a4,a4)))),
% 126.95/127.07 inference(scs_inference,[],[66,74,70,78,907,909,494,90,27,26,20,18,11,13,8,14,9,17,12,28])).
% 126.95/127.07 cnf(945,plain,
% 126.95/127.07 (P2(f3(f7(a2,f6(a2)),f3(a4,a4)),f3(f3(a4,a4),a4))),
% 126.95/127.07 inference(scs_inference,[],[921,104,18])).
% 126.95/127.07 cnf(947,plain,
% 126.95/127.07 (P2(f7(a4,a4),f7(a4,f7(a4,a4)))),
% 126.95/127.07 inference(scs_inference,[],[933,921,104,18,11])).
% 126.95/127.07 cnf(959,plain,
% 126.95/127.07 (P3(f7(a4,a4),f3(a1,f7(a4,a4)))),
% 126.95/127.07 inference(scs_inference,[],[929,416,20])).
% 126.95/127.07 cnf(961,plain,
% 126.95/127.07 (~P2(f7(a2,f6(a2)),f3(a1,a1))),
% 126.95/127.07 inference(scs_inference,[],[733,852,929,416,20,18])).
% 126.95/127.07 cnf(976,plain,
% 126.95/127.07 (P3(f7(a4,f7(a4,a4)),f3(a1,f7(a4,a4)))),
% 126.95/127.07 inference(scs_inference,[],[947,959,20])).
% 126.95/127.07 cnf(978,plain,
% 126.95/127.07 (~P2(f3(f3(a1,a1),a1),a4)),
% 126.95/127.07 inference(scs_inference,[],[70,947,959,686,20,18])).
% 126.95/127.07 cnf(980,plain,
% 126.95/127.07 (P2(f3(f3(a4,a4),a4),f3(f7(a2,f6(a2)),f3(a4,a4)))),
% 126.95/127.07 inference(scs_inference,[],[70,947,945,959,686,20,18,11])).
% 126.95/127.07 cnf(991,plain,
% 126.95/127.07 (~P2(f3(a1,a1),f7(a2,f6(a2)))),
% 126.95/127.07 inference(scs_inference,[],[980,961,945,18,11])).
% 126.95/127.07 cnf(993,plain,
% 126.95/127.07 (P1(f5(f6(a4)))),
% 126.95/127.07 inference(scs_inference,[],[80,980,961,945,18,11,8])).
% 126.95/127.07 cnf(995,plain,
% 126.95/127.07 (P2(f3(a1,f6(a4)),f6(a4))),
% 126.95/127.07 inference(scs_inference,[],[80,980,961,945,18,11,8,13])).
% 126.95/127.07 cnf(999,plain,
% 126.95/127.07 (P2(f7(a4,f6(a4)),f6(a4))),
% 126.95/127.07 inference(scs_inference,[],[80,980,961,945,18,11,8,13,9,14])).
% 126.95/127.07 cnf(1001,plain,
% 126.95/127.07 (P2(f3(f6(a4),f5(f6(a4))),a1)),
% 126.95/127.07 inference(scs_inference,[],[80,980,961,945,18,11,8,13,9,14,17])).
% 126.95/127.07 cnf(1009,plain,
% 126.95/127.07 (P3(f3(a1,f6(a4)),f3(f7(f7(a1,a1),f7(a1,a1)),f6(a4)))),
% 126.95/127.07 inference(scs_inference,[],[76,80,980,98,976,961,945,18,11,8,13,9,14,17,19,27,26,28])).
% 126.95/127.07 cnf(1013,plain,
% 126.95/127.07 (~P2(f3(f3(a1,a1),a1),f7(a4,a4))),
% 126.95/127.07 inference(scs_inference,[],[230,978,18])).
% 126.95/127.07 cnf(1015,plain,
% 126.95/127.07 (P2(f7(a1,a1),f7(a4,f7(a1,a1)))),
% 126.95/127.07 inference(scs_inference,[],[448,230,978,18,11])).
% 126.95/127.07 cnf(1019,plain,
% 126.95/127.07 (P3(f6(a4),f6(a4))),
% 126.95/127.07 inference(scs_inference,[],[80,448,230,1009,978,18,11,19,12])).
% 126.95/127.07 cnf(1023,plain,
% 126.95/127.07 (~P2(f3(a1,f3(a1,a1)),f7(a4,a4))),
% 126.95/127.07 inference(scs_inference,[],[1013,332,18])).
% 126.95/127.07 cnf(1025,plain,
% 126.95/127.07 (~P2(f7(a4,a4),f3(f3(a1,a1),a1))),
% 126.95/127.07 inference(scs_inference,[],[1013,332,18,11])).
% 126.95/127.07 cnf(1031,plain,
% 126.95/127.07 (P3(f3(f3(a1,a1),a2),f3(a1,a2))),
% 126.95/127.07 inference(scs_inference,[],[866,161,20])).
% 126.95/127.07 cnf(1033,plain,
% 126.95/127.07 (P2(f7(a4,f3(a1,a1)),f3(a1,f5(a1)))),
% 126.95/127.07 inference(scs_inference,[],[866,614,161,733,20,18])).
% 126.95/127.07 cnf(1035,plain,
% 126.95/127.07 (P2(f7(f3(a4,a1),f7(a1,a1)),f7(f3(a2,a1),f7(a1,a1)))),
% 126.95/127.07 inference(scs_inference,[],[662,866,614,161,733,20,18,11])).
% 126.95/127.07 cnf(1041,plain,
% 126.95/127.07 (~P2(f7(a4,a4),f3(a1,f3(a1,a1)))),
% 126.95/127.07 inference(scs_inference,[],[1023,11])).
% 126.95/127.07 cnf(1043,plain,
% 126.95/127.07 (P2(f3(f7(a4,a1),f7(a1,a1)),f7(a4,f7(a1,a1)))),
% 126.95/127.07 inference(scs_inference,[],[1023,1015,898,11,18])).
% 126.95/127.07 cnf(1052,plain,
% 126.95/127.07 (P2(f3(a2,a2),f3(a1,f3(a2,a2)))),
% 126.95/127.07 inference(scs_inference,[],[815,11])).
% 126.95/127.07 cnf(1054,plain,
% 126.95/127.07 (~P2(f6(a4),f3(a1,a1))),
% 126.95/127.07 inference(scs_inference,[],[815,999,608,11,18])).
% 126.95/127.07 cnf(1060,plain,
% 126.95/127.07 (~P2(f3(a1,a1),f6(a4))),
% 126.95/127.07 inference(scs_inference,[],[1054,11])).
% 126.95/127.07 cnf(1064,plain,
% 126.95/127.07 (P3(f3(a1,f3(a4,a4)),f3(f7(f7(a1,a1),f7(a1,a1)),f3(a4,a4)))),
% 126.95/127.07 inference(scs_inference,[],[76,78,1035,1054,662,11,18,28])).
% 126.95/127.07 cnf(1075,plain,
% 126.95/127.07 (P2(f7(f7(a2,f6(a2)),f3(a4,a4)),f3(a4,a4))),
% 126.95/127.07 inference(scs_inference,[],[318,396,919,11,18])).
% 126.95/127.07 cnf(1079,plain,
% 126.95/127.07 (P2(f7(a4,f3(a4,a4)),f7(a2,f3(a4,a4)))),
% 126.95/127.07 inference(scs_inference,[],[88,78,1064,318,396,919,11,18,19,27])).
% 126.95/127.07 cnf(1081,plain,
% 126.95/127.07 (P2(f3(a4,f3(a4,a4)),f3(a2,f3(a4,a4)))),
% 126.95/127.07 inference(scs_inference,[],[88,78,1064,318,396,919,11,18,19,27,26])).
% 126.95/127.07 cnf(1089,plain,
% 126.95/127.07 (P3(a2,a4)),
% 126.95/127.07 inference(scs_inference,[],[88,220,20])).
% 126.95/127.07 cnf(1091,plain,
% 126.95/127.07 (~P2(a2,f7(a4,a1))),
% 126.95/127.07 inference(scs_inference,[],[88,220,254,20,11])).
% 126.95/127.07 cnf(1093,plain,
% 126.95/127.07 (~P2(a2,f3(f3(a1,a1),a1))),
% 126.95/127.07 inference(scs_inference,[],[88,887,220,254,20,11,18])).
% 126.95/127.07 cnf(1108,plain,
% 126.95/127.07 (P3(f7(a4,a4),f7(a4,a4))),
% 126.95/127.07 inference(scs_inference,[],[90,12])).
% 126.95/127.07 cnf(1110,plain,
% 126.95/127.07 (P3(f3(a4,a4),f3(f7(f7(a1,a1),f7(a1,a1)),f3(a4,a4)))),
% 126.95/127.07 inference(scs_inference,[],[90,398,1064,12,20])).
% 126.95/127.07 cnf(1112,plain,
% 126.95/127.07 (P3(a2,f3(a1,a4))),
% 126.95/127.07 inference(scs_inference,[],[90,398,1089,248,1064,12,20,21])).
% 126.95/127.07 cnf(1114,plain,
% 126.95/127.07 (P2(f3(a4,a4),f7(f7(a2,f6(a2)),f3(a4,a4)))),
% 126.95/127.07 inference(scs_inference,[],[90,1075,398,1089,248,1064,12,20,21,11])).
% 126.95/127.07 cnf(1116,plain,
% 126.95/127.07 (P2(f7(f7(a2,f6(a2)),f6(a2)),f6(a2))),
% 126.95/127.07 inference(scs_inference,[],[90,1075,398,747,1089,248,538,1064,12,20,21,11,18])).
% 126.95/127.07 cnf(1122,plain,
% 126.95/127.07 (P3(f3(a2,f3(a4,a4)),f3(a4,f3(a4,a4)))),
% 126.95/127.07 inference(scs_inference,[],[78,90,991,1075,398,747,1089,248,538,1064,12,20,21,11,18,19,155,28])).
% 126.95/127.07 cnf(1124,plain,
% 126.95/127.07 (~P2(f3(f3(a1,a1),a1),a2)),
% 126.95/127.07 inference(scs_inference,[],[1093,11])).
% 126.95/127.07 cnf(1128,plain,
% 126.95/127.07 (P2(f7(f7(a2,a4),f6(a4)),f7(f7(a4,a4),f6(a4)))),
% 126.95/127.07 inference(scs_inference,[],[80,92,1093,1023,11,18,27])).
% 126.95/127.07 cnf(1130,plain,
% 126.95/127.07 (P2(f3(f7(a2,a4),f6(a4)),f3(f7(a4,a4),f6(a4)))),
% 126.95/127.07 inference(scs_inference,[],[80,92,1093,1023,11,18,27,26])).
% 126.95/127.07 cnf(1132,plain,
% 126.95/127.07 (~P2(f3(a2,f3(a4,a4)),x11321)+P3(x11321,f3(a4,f3(a4,a4)))),
% 126.95/127.07 inference(scs_inference,[],[80,92,1122,1093,1023,11,18,27,26,20])).
% 126.95/127.07 cnf(1140,plain,
% 126.95/127.07 (P2(f7(a4,a4),f7(a2,a4))),
% 126.95/127.07 inference(scs_inference,[],[92,11])).
% 126.95/127.07 cnf(1142,plain,
% 126.95/127.07 (~P2(f3(a1,f5(a1)),f6(a4))),
% 126.95/127.07 inference(scs_inference,[],[92,1060,733,11,18])).
% 126.95/127.07 cnf(1161,plain,
% 126.95/127.07 (P2(f3(f3(a2,a4),f7(a4,a4)),f3(f3(a4,a4),f7(a4,a4)))),
% 126.95/127.07 inference(scs_inference,[],[94,90,27,26])).
% 126.95/127.07 cnf(1163,plain,
% 126.95/127.07 (P3(f5(a1),f3(f3(a1,a1),f7(a1,a1)))),
% 126.95/127.07 inference(scs_inference,[],[94,90,721,793,27,26,21])).
% 126.95/127.07 cnf(1165,plain,
% 126.95/127.07 (P2(f3(a4,a4),f3(a2,a4))),
% 126.95/127.07 inference(scs_inference,[],[94,90,721,793,27,26,21,11])).
% 126.95/127.07 cnf(1167,plain,
% 126.95/127.07 (~P2(f7(a4,f6(a4)),f3(a2,f5(a2)))),
% 126.95/127.07 inference(scs_inference,[],[94,90,147,721,260,793,27,26,21,11,18])).
% 126.95/127.07 cnf(1173,plain,
% 126.95/127.07 (~P2(f3(a2,f5(a2)),f7(a4,f6(a4)))),
% 126.95/127.07 inference(scs_inference,[],[1167,11])).
% 126.95/127.07 cnf(1179,plain,
% 126.95/127.07 (P3(f3(a2,a4),f3(a4,a4))),
% 126.95/127.07 inference(scs_inference,[],[1165,939,20])).
% 126.95/127.07 cnf(1183,plain,
% 126.95/127.07 (P2(f5(a1),f7(a4,f5(a1)))),
% 126.95/127.07 inference(scs_inference,[],[94,312,1165,939,20,18,11])).
% 126.95/127.07 cnf(1198,plain,
% 126.95/127.07 (P3(f3(f3(a2,a4),f7(a4,a4)),f3(f3(a4,a4),f7(a4,a4)))),
% 126.95/127.07 inference(scs_inference,[],[96,90,1179,163,27,26,28])).
% 126.95/127.07 cnf(1200,plain,
% 126.95/127.07 (~P2(f7(a4,f6(a4)),f3(a4,f5(a4)))),
% 126.95/127.07 inference(scs_inference,[],[96,90,234,1179,260,163,27,26,28,18])).
% 126.95/127.07 cnf(1202,plain,
% 126.95/127.07 (~P2(f6(a4),f3(a1,f5(a1)))),
% 126.95/127.07 inference(scs_inference,[],[96,90,234,1142,1179,260,163,27,26,28,18,11])).
% 126.95/127.07 cnf(1210,plain,
% 126.95/127.07 (~P2(x12101,f3(a2,f5(a2)))+~P1(f7(a4,f6(a4)))+~P1(f3(a2,f5(a2)))+~P3(f7(a4,f6(a4)),f3(a2,f5(a2)))+~P3(x12101,f7(a4,f6(a4)))),
% 126.95/127.07 inference(scs_inference,[],[96,90,234,1173,1142,1179,384,260,163,27,26,28,18,11,8,19,12,20])).
% 126.95/127.07 cnf(1219,plain,
% 126.95/127.07 (~P2(f6(a4),f3(a4,f5(a4)))),
% 126.95/127.07 inference(scs_inference,[],[1200,995,1179,1110,999,1009,20,21,18])).
% 126.95/127.07 cnf(1221,plain,
% 126.95/127.07 (P2(a1,f3(f6(a2),f5(f6(a2))))),
% 126.95/127.07 inference(scs_inference,[],[542,1200,995,1179,1110,999,1009,20,21,18,11])).
% 126.95/127.07 cnf(1229,plain,
% 126.95/127.07 (P2(f7(a4,f6(a4)),a2)),
% 126.95/127.07 inference(scs_inference,[],[88,100,1161,1198,20,19,18])).
% 126.95/127.07 cnf(1231,plain,
% 126.95/127.07 (~P2(f3(a4,f5(a4)),f6(a4))),
% 126.95/127.07 inference(scs_inference,[],[88,100,1161,1219,1198,20,19,18,11])).
% 126.95/127.07 cnf(1248,plain,
% 126.95/127.07 (P2(a4,f7(a4,f6(a4)))),
% 126.95/127.07 inference(scs_inference,[],[88,100,813,363,12,18,11])).
% 126.95/127.07 cnf(1260,plain,
% 126.95/127.07 (~P2(a1,f6(a4))),
% 126.95/127.07 inference(scs_inference,[],[1231,234,923,793,21,18])).
% 126.95/127.07 cnf(1272,plain,
% 126.95/127.07 (P2(f7(a4,a4),f7(f7(a4,a4),a4))),
% 126.95/127.07 inference(scs_inference,[],[90,102,1019,947,28,18])).
% 126.95/127.07 cnf(1276,plain,
% 126.95/127.07 (P2(a1,f3(f7(a1,a1),f5(f7(a1,a1))))),
% 126.95/127.07 inference(scs_inference,[],[90,102,456,1019,947,28,18,19,11])).
% 126.95/127.07 cnf(1303,plain,
% 126.95/127.07 (P2(f7(f7(a4,a4),a4),f7(a4,a4))),
% 126.95/127.07 inference(scs_inference,[],[1272,1124,332,18,11])).
% 126.95/127.07 cnf(1309,plain,
% 126.95/127.07 (P2(f3(a1,f3(a1,a1)),f3(a1,f5(a1)))),
% 126.95/127.07 inference(scs_inference,[],[610,733,18])).
% 126.95/127.07 cnf(1321,plain,
% 126.95/127.07 (~P2(f3(f3(a1,f5(a1)),f3(a1,a1)),f7(a4,f6(a4)))),
% 126.95/127.07 inference(scs_inference,[],[100,753,18])).
% 126.95/127.07 cnf(1323,plain,
% 126.95/127.07 (P2(f3(a1,f5(a1)),f3(a1,f3(a1,a1)))),
% 126.95/127.07 inference(scs_inference,[],[100,1309,753,18,11])).
% 126.95/127.07 cnf(1333,plain,
% 126.95/127.07 (~P2(f7(a4,f6(a4)),f3(f3(a1,f5(a1)),f3(a1,a1)))),
% 126.95/127.07 inference(scs_inference,[],[1321,1260,1221,18,11])).
% 126.95/127.07 cnf(1340,plain,
% 126.95/127.07 (P2(f7(a4,f3(a1,a1)),f3(a1,f3(a1,a1)))),
% 126.95/127.07 inference(scs_inference,[],[106,1323,1033,791,20,18])).
% 126.95/127.07 cnf(1342,plain,
% 126.95/127.07 (P2(f7(a2,a2),f3(a1,f7(a2,a2)))),
% 126.95/127.07 inference(scs_inference,[],[106,1323,688,1033,791,20,18,11])).
% 126.95/127.07 cnf(1348,plain,
% 126.95/127.07 (~P2(f3(a1,f3(a1,a1)),f7(f7(a4,a4),a4))),
% 126.95/127.07 inference(scs_inference,[],[1303,1023,18])).
% 126.95/127.07 cnf(1371,plain,
% 126.95/127.07 (P3(f7(f7(a4,a4),a4),f3(a1,f7(a4,a4)))),
% 126.95/127.07 inference(scs_inference,[],[102,976,20])).
% 126.95/127.07 cnf(1377,plain,
% 126.95/127.07 (P2(f7(a2,a2),f7(a4,f7(a2,a2)))),
% 126.95/127.07 inference(scs_inference,[],[102,692,1140,1025,976,751,488,20,21,18,11])).
% 126.95/127.07 cnf(1379,plain,
% 126.95/127.07 (~P3(f3(a1,a4),a2)+P2(f3(a1,a4),a2)),
% 126.95/127.07 inference(scs_inference,[],[102,692,1140,1025,1112,976,751,488,20,21,18,11,19])).
% 126.95/127.07 cnf(1383,plain,
% 126.95/127.07 (P3(f7(f7(a4,a4),a4),f7(a4,a4))),
% 126.95/127.07 inference(scs_inference,[],[1108,1272,20])).
% 126.95/127.07 cnf(1385,plain,
% 126.95/127.07 (P2(f3(a1,f7(a4,a4)),f7(f7(a4,a4),a4))),
% 126.95/127.07 inference(scs_inference,[],[1108,1272,929,20,18])).
% 126.95/127.07 cnf(1395,plain,
% 126.95/127.07 (P3(f3(f7(f7(a4,a4),a4),f5(a4)),f3(f7(a4,a4),f5(a4)))),
% 126.95/127.07 inference(scs_inference,[],[1383,228,28])).
% 126.95/127.07 cnf(1397,plain,
% 126.95/127.07 (~P2(f3(a1,f3(a1,a1)),f7(a4,f7(a4,a4)))),
% 126.95/127.07 inference(scs_inference,[],[102,1383,1348,228,28,18])).
% 126.95/127.07 cnf(1399,plain,
% 126.95/127.07 (P2(f7(f7(a4,a4),a4),f3(a1,f7(a4,a4)))),
% 126.95/127.07 inference(scs_inference,[],[102,1383,1385,1348,228,28,18,11])).
% 126.95/127.07 cnf(1410,plain,
% 126.95/127.07 (~P2(a2,f3(f3(a1,f5(a1)),f3(a1,a1)))),
% 126.95/127.07 inference(scs_inference,[],[1333,1229,18])).
% 126.95/127.07 cnf(1416,plain,
% 126.95/127.07 (~P3(f3(f7(a4,a4),f5(a4)),x14161)+P3(f3(f7(f7(a4,a4),a4),f5(a4)),x14161)),
% 126.95/127.07 inference(scs_inference,[],[1397,1333,1395,1229,993,18,11,8,21])).
% 126.95/127.07 cnf(1423,plain,
% 126.95/127.07 (P2(f7(f7(a4,a4),a4),a4)),
% 126.95/127.07 inference(scs_inference,[],[1303,230,18])).
% 126.95/127.07 cnf(1425,plain,
% 126.95/127.07 (P2(f3(a2,a2),f7(a4,f3(a2,a2)))),
% 126.95/127.07 inference(scs_inference,[],[819,1303,230,18,11])).
% 126.95/127.07 cnf(1433,plain,
% 126.95/127.07 (P3(f7(a2,a4),f7(a4,a4))),
% 126.95/127.07 inference(scs_inference,[],[1140,1108,20])).
% 126.95/127.07 cnf(1435,plain,
% 126.95/127.07 (P2(f3(a1,f7(a2,a2)),f7(a4,f7(a2,a2)))),
% 126.95/127.07 inference(scs_inference,[],[1377,688,1140,1108,20,18])).
% 126.95/127.07 cnf(1446,plain,
% 126.95/127.07 (P3(f7(a2,a4),f3(a1,f7(a4,a4)))),
% 126.95/127.07 inference(scs_inference,[],[1433,959,21])).
% 126.95/127.07 cnf(1448,plain,
% 126.95/127.07 (~P2(a2,f3(a4,f5(a4)))),
% 126.95/127.07 inference(scs_inference,[],[1433,1200,1229,959,21,18])).
% 126.95/127.07 cnf(1450,plain,
% 126.95/127.07 (P2(a1,f3(f3(a4,a4),f5(f3(a4,a4))))),
% 126.95/127.07 inference(scs_inference,[],[404,1433,1200,1229,959,21,18,11])).
% 126.95/127.07 cnf(1456,plain,
% 126.95/127.07 (P3(f3(a1,f7(a4,a4)),f7(a4,a4))),
% 126.95/127.07 inference(scs_inference,[],[1399,1383,20])).
% 126.95/127.07 cnf(1460,plain,
% 126.95/127.07 (~P2(f3(f3(a1,f5(a1)),f3(a1,a1)),a2)),
% 126.95/127.07 inference(scs_inference,[],[119,1399,214,1410,1383,20,18,11])).
% 126.95/127.07 cnf(1462,plain,
% 126.95/127.07 (P2(f7(a4,a4),f3(a1,f7(a4,a4)))),
% 126.95/127.07 inference(scs_inference,[],[119,1399,214,1410,1383,959,20,18,11,19])).
% 126.95/127.07 cnf(1470,plain,
% 126.95/127.07 (P3(f7(f7(a2,f6(a2)),f3(a4,a4)),f3(a4,a4))),
% 126.95/127.07 inference(scs_inference,[],[1114,939,20])).
% 126.95/127.07 cnf(1472,plain,
% 126.95/127.07 (~P2(f7(a2,f6(a2)),f7(a4,f3(a1,a1)))),
% 126.95/127.07 inference(scs_inference,[],[1340,927,1114,939,20,18])).
% 126.95/127.07 cnf(1474,plain,
% 126.95/127.07 (P2(a1,f3(f3(a1,a1),f5(f3(a1,a1))))),
% 126.95/127.07 inference(scs_inference,[],[618,1340,927,1114,939,20,18,11])).
% 126.95/127.07 cnf(1484,plain,
% 126.95/127.07 (~P2(a4,f7(a4,f3(a1,a1)))),
% 126.95/127.07 inference(scs_inference,[],[1472,66,18])).
% 126.95/127.07 cnf(1492,plain,
% 126.95/127.07 (P2(f3(f7(a2,a1),f3(a2,a2)),f3(a1,f3(a2,a2)))),
% 126.95/127.07 inference(scs_inference,[],[125,1472,1446,66,165,18,11,19,27,26])).
% 126.95/127.07 cnf(1494,plain,
% 126.95/127.07 (P3(f3(a2,f3(a2,a2)),f3(a2,f3(a2,a2)))),
% 126.95/127.07 inference(scs_inference,[],[125,121,1472,1446,66,165,18,11,19,27,26,28])).
% 126.95/127.07 cnf(1502,plain,
% 126.95/127.07 (P2(f7(a2,a1),f3(f7(a1,a1),f5(f7(a1,a1))))),
% 126.95/127.07 inference(scs_inference,[],[125,1276,18])).
% 126.95/127.07 cnf(1504,plain,
% 126.95/127.07 (P2(a1,f7(a2,a1))),
% 126.95/127.07 inference(scs_inference,[],[125,1276,18,11])).
% 126.95/127.07 cnf(1514,plain,
% 126.95/127.07 (P3(f7(a4,f7(a4,a4)),f7(a4,a4))),
% 126.95/127.07 inference(scs_inference,[],[1456,976,21])).
% 126.95/127.07 cnf(1516,plain,
% 126.95/127.07 (P2(f7(a4,f7(a2,a2)),f3(a1,f7(a2,a2)))),
% 126.95/127.07 inference(scs_inference,[],[1456,1342,692,976,21,18])).
% 126.95/127.07 cnf(1532,plain,
% 126.95/127.07 (P2(f5(a4),f3(a1,f5(a4)))),
% 126.95/127.07 inference(scs_inference,[],[117,757,1462,1494,1041,20,18,11])).
% 126.95/127.07 cnf(1538,plain,
% 126.95/127.07 (P3(f7(a4,f5(a1)),f5(a1))),
% 126.95/127.07 inference(scs_inference,[],[1183,346,20])).
% 126.95/127.07 cnf(1540,plain,
% 126.95/127.07 (P2(f3(f7(a2,a2),f5(f7(a2,a2))),f7(a2,a1))),
% 126.95/127.07 inference(scs_inference,[],[696,1183,1504,346,20,18])).
% 126.95/127.07 cnf(1555,plain,
% 126.95/127.07 (P2(f5(a4),f7(a4,f5(a4)))),
% 126.95/127.07 inference(scs_inference,[],[761,1516,1435,18,11])).
% 126.95/127.07 cnf(1563,plain,
% 126.95/127.07 (~P2(a1,f7(a2,f6(a2)))),
% 126.95/127.07 inference(scs_inference,[],[125,872,18])).
% 126.95/127.07 cnf(1565,plain,
% 126.95/127.07 (~P2(f3(a4,f5(a4)),a2)),
% 126.95/127.07 inference(scs_inference,[],[125,1448,872,18,11])).
% 126.95/127.07 cnf(1575,plain,
% 126.95/127.07 (P3(a4,f3(a1,f7(a4,a4)))),
% 126.95/127.07 inference(scs_inference,[],[1423,1371,20])).
% 126.95/127.07 cnf(1579,plain,
% 126.95/127.07 (P2(f5(a2),f3(a1,f5(a2)))),
% 126.95/127.07 inference(scs_inference,[],[125,876,1423,1450,1371,20,18,11])).
% 126.95/127.07 cnf(1585,plain,
% 126.95/127.07 (P3(f3(a4,a4),f3(f3(a1,a1),f3(a4,a4)))),
% 126.95/127.07 inference(scs_inference,[],[398,941,20])).
% 126.95/127.07 cnf(1589,plain,
% 126.95/127.07 (~P2(f7(a4,f3(a1,a1)),a4)),
% 126.95/127.07 inference(scs_inference,[],[392,1202,1484,398,941,20,18,11])).
% 126.95/127.07 cnf(1603,plain,
% 126.95/127.07 (~P3(f3(f7(a2,a2),f7(a2,a2)),x16031)+P3(f7(f3(a2,a2),a2),x16031)),
% 126.95/127.07 inference(scs_inference,[],[119,1585,880,1474,1260,1470,21,18,11,19,20])).
% 126.95/127.07 cnf(1617,plain,
% 126.95/127.07 (P2(f3(f7(a2,f6(a2)),f3(a4,a4)),f3(a2,f3(a4,a4)))),
% 126.95/127.07 inference(scs_inference,[],[1081,921,18])).
% 126.95/127.07 cnf(1619,plain,
% 126.95/127.07 (P2(a1,f3(f3(a2,a2),f5(f3(a2,a2))))),
% 126.95/127.07 inference(scs_inference,[],[821,1081,921,18,11])).
% 126.95/127.07 cnf(1638,plain,
% 126.95/127.07 (P2(f7(a2,a1),f3(f3(a2,a2),f5(f3(a2,a2))))),
% 126.95/127.07 inference(scs_inference,[],[125,1619,18])).
% 126.95/127.07 cnf(1640,plain,
% 126.95/127.07 (P2(a2,f7(a4,a2))),
% 126.95/127.07 inference(scs_inference,[],[125,139,1619,18,11])).
% 126.95/127.07 cnf(1645,plain,
% 126.95/127.07 (P3(a4,f7(a4,a4))),
% 126.95/127.07 inference(scs_inference,[],[1575,1456,21])).
% 126.95/127.07 cnf(1662,plain,
% 126.95/127.07 (~P2(f3(f3(a2,a2),f5(f3(a2,a2))),a4)),
% 126.95/127.07 inference(scs_inference,[],[1638,394,18])).
% 126.95/127.07 cnf(1664,plain,
% 126.95/127.07 (P2(a2,f3(a1,a2))),
% 126.95/127.07 inference(scs_inference,[],[141,1638,394,18,11])).
% 126.95/127.07 cnf(1675,plain,
% 126.95/127.07 (P3(f7(a2,a1),f3(a1,f5(a1)))),
% 126.95/127.07 inference(scs_inference,[],[1504,355,20])).
% 126.95/127.07 cnf(1677,plain,
% 126.95/127.07 (P2(f3(f7(a4,a4),f5(f7(a4,a4))),f7(a2,a1))),
% 126.95/127.07 inference(scs_inference,[],[937,1504,355,20,18])).
% 126.95/127.07 cnf(1700,plain,
% 126.95/127.07 (P3(f7(a4,a2),f3(a1,a4))),
% 126.95/127.07 inference(scs_inference,[],[1640,1112,20])).
% 126.95/127.07 cnf(1702,plain,
% 126.95/127.07 (P2(f3(f3(a4,a4),a4),f3(a2,f3(a4,a4)))),
% 126.95/127.07 inference(scs_inference,[],[1617,1640,980,1112,20,18])).
% 126.95/127.07 cnf(1704,plain,
% 126.95/127.07 (P2(a1,f3(f5(a4),f5(f5(a4))))),
% 126.95/127.07 inference(scs_inference,[],[765,1617,1640,980,1112,20,18,11])).
% 126.95/127.07 cnf(1719,plain,
% 126.95/127.07 (P3(a2,f7(a4,a4))),
% 126.95/127.07 inference(scs_inference,[],[1645,1089,21])).
% 126.95/127.07 cnf(1721,plain,
% 126.95/127.07 (~P2(a2,f3(a2,f5(a2)))),
% 126.95/127.07 inference(scs_inference,[],[1645,1167,1229,1089,21,18])).
% 126.95/127.07 cnf(1723,plain,
% 126.95/127.07 (~P2(f7(a2,f6(a2)),a1)),
% 126.95/127.07 inference(scs_inference,[],[1563,1645,1167,1229,1089,21,18,11])).
% 126.95/127.07 cnf(1725,plain,
% 126.95/127.07 (P1(f5(f5(a2)))),
% 126.95/127.07 inference(scs_inference,[],[143,1563,1645,1167,1229,1089,21,18,11,8])).
% 126.95/127.07 cnf(1727,plain,
% 126.95/127.07 (P3(f5(a2),f5(a2))),
% 126.95/127.07 inference(scs_inference,[],[143,1563,1645,1167,1229,1089,21,18,11,8,12])).
% 126.95/127.07 cnf(1737,plain,
% 126.95/127.07 (P2(a4,f6(a4))),
% 126.95/127.07 inference(scs_inference,[],[1725,1248,1675,999,424,9,21,18])).
% 126.95/127.07 cnf(1739,plain,
% 126.95/127.07 (P2(a1,f3(f5(a2),f5(f5(a2))))),
% 126.95/127.07 inference(scs_inference,[],[882,1725,1248,1675,999,424,9,21,18,11])).
% 126.95/127.07 cnf(1752,plain,
% 126.95/127.07 (~P2(f7(a2,f6(a2)),f3(a2,f5(a2)))),
% 126.95/127.07 inference(scs_inference,[],[147,1723,18])).
% 126.95/127.07 cnf(1754,plain,
% 126.95/127.07 (~P2(a4,f3(f3(a2,a2),f5(f3(a2,a2))))),
% 126.95/127.07 inference(scs_inference,[],[147,1662,1723,18,11])).
% 126.95/127.07 cnf(1775,plain,
% 126.95/127.07 (P3(f3(a1,a2),f7(a4,a4))),
% 126.95/127.07 inference(scs_inference,[],[1664,1719,20])).
% 126.95/127.07 cnf(1779,plain,
% 126.95/127.07 (~P2(a4,f3(a2,f5(a2)))),
% 126.95/127.07 inference(scs_inference,[],[1752,1664,1719,1538,1163,66,20,21,18])).
% 126.95/127.07 cnf(1781,plain,
% 126.95/127.07 (P2(a1,f3(a2,f5(a2)))),
% 126.95/127.07 inference(scs_inference,[],[147,1752,1664,1719,1538,1163,66,20,21,18,11])).
% 126.95/127.07 cnf(1791,plain,
% 126.95/127.07 (P3(f7(a4,a2),f7(a4,a4))),
% 126.95/127.07 inference(scs_inference,[],[1640,1719,20])).
% 126.95/127.07 cnf(1793,plain,
% 126.95/127.07 (P3(f3(f3(a1,a1),a2),f7(a4,a4))),
% 126.95/127.07 inference(scs_inference,[],[1775,1640,1031,1719,20,21])).
% 126.95/127.07 cnf(1795,plain,
% 126.95/127.07 (P2(f3(a1,a2),f7(a4,a2))),
% 126.95/127.07 inference(scs_inference,[],[141,1775,1640,1031,1719,20,21,18])).
% 126.95/127.07 cnf(1797,plain,
% 126.95/127.07 (~P2(f3(a2,f5(a2)),a2)),
% 126.95/127.07 inference(scs_inference,[],[141,1775,1721,1640,1031,1719,20,21,18,11])).
% 126.95/127.07 cnf(1804,plain,
% 126.95/127.07 (~P2(f3(f3(a1,f5(a1)),f3(a1,a1)),f7(a4,a2))),
% 126.95/127.07 inference(scs_inference,[],[139,1460,18])).
% 126.95/127.07 cnf(1806,plain,
% 126.95/127.07 (P2(f7(a4,a2),f3(a1,a2))),
% 126.95/127.07 inference(scs_inference,[],[139,1795,1460,18,11])).
% 126.95/127.07 cnf(1816,plain,
% 126.95/127.07 (~P2(f3(a1,f3(a1,a1)),f7(a4,a2))),
% 126.95/127.07 inference(scs_inference,[],[1804,556,18])).
% 126.95/127.07 cnf(1818,plain,
% 126.95/127.07 (~P2(f7(a4,a2),f3(f3(a1,f5(a1)),f3(a1,a1)))),
% 126.95/127.07 inference(scs_inference,[],[1804,556,18,11])).
% 126.95/127.07 cnf(1820,plain,
% 126.95/127.07 (P3(f3(f3(f3(a1,a1),a2),f5(a2)),f3(f7(a4,a4),f5(a2)))),
% 126.95/127.07 inference(scs_inference,[],[143,1804,1793,556,18,11,28])).
% 126.95/127.07 cnf(1822,plain,
% 126.95/127.07 (P3(f3(f7(a2,a2),f7(a2,a2)),f3(f7(a2,a2),f7(a2,a2)))),
% 126.95/127.07 inference(scs_inference,[],[143,1804,1793,556,192,18,11,28,12])).
% 126.95/127.07 cnf(1826,plain,
% 126.95/127.07 (P2(f7(f7(a4,a2),f5(a2)),f7(a2,f5(a2)))),
% 126.95/127.07 inference(scs_inference,[],[139,143,1804,1793,1781,556,192,18,11,28,12,1210,27])).
% 126.95/127.07 cnf(1828,plain,
% 126.95/127.07 (P2(f3(f7(a4,a2),f5(a2)),f3(a2,f5(a2)))),
% 126.95/127.07 inference(scs_inference,[],[139,143,1804,1793,1781,556,192,18,11,28,12,1210,27,26])).
% 126.95/127.07 cnf(1840,plain,
% 126.95/127.07 (P3(f7(a2,a1),f7(a1,a1))),
% 126.95/127.07 inference(scs_inference,[],[1822,1043,1675,582,923,1603,20,21])).
% 126.95/127.07 cnf(1842,plain,
% 126.95/127.07 (P2(f3(f7(a4,a2),f5(a2)),a1)),
% 126.95/127.07 inference(scs_inference,[],[147,1822,1828,1043,1675,582,923,1603,20,21,18])).
% 126.95/127.07 cnf(1844,plain,
% 126.95/127.07 (P2(a1,f3(f6(a4),f5(f6(a4))))),
% 126.95/127.07 inference(scs_inference,[],[147,1822,1001,1828,1043,1675,582,923,1603,20,21,18,11])).
% 126.95/127.07 cnf(1850,plain,
% 126.95/127.07 (P2(f7(f7(a4,a2),f7(a2,a2)),f7(a2,f7(a2,a2)))),
% 126.95/127.07 inference(scs_inference,[],[139,147,143,1822,1001,1828,1820,1514,1043,1675,582,923,163,1603,20,21,18,11,28,19,27])).
% 126.95/127.07 cnf(1858,plain,
% 126.95/127.07 (P3(f7(a4,a2),f3(a1,f7(a4,a4)))),
% 126.95/127.07 inference(scs_inference,[],[1502,1840,1791,959,20,21])).
% 126.95/127.07 cnf(1860,plain,
% 126.95/127.07 (~P2(f3(a4,f5(a4)),f3(a1,a2))),
% 126.95/127.07 inference(scs_inference,[],[141,1502,1840,1565,1791,959,20,21,18])).
% 126.95/127.07 cnf(1862,plain,
% 126.95/127.07 (~P2(f7(a4,a2),f3(a1,f3(a1,a1)))),
% 126.95/127.07 inference(scs_inference,[],[141,1816,1502,1840,1565,1791,959,20,21,18,11])).
% 126.95/127.07 cnf(1871,plain,
% 126.95/127.07 (~P2(a1,f3(a1,a2))),
% 126.95/127.07 inference(scs_inference,[],[1860,234,18])).
% 126.95/127.07 cnf(1873,plain,
% 126.95/127.07 (P2(f7(a2,f7(a2,a2)),f7(f7(a4,a2),f7(a2,a2)))),
% 126.95/127.07 inference(scs_inference,[],[1850,1860,234,18,11])).
% 126.95/127.07 cnf(1883,plain,
% 126.95/127.07 (~P2(f3(a2,f5(a2)),a4)),
% 126.95/127.07 inference(scs_inference,[],[1873,1779,1850,18,11])).
% 126.95/127.07 cnf(1891,plain,
% 126.95/127.07 (P2(f3(f3(a2,f5(a2)),f5(a2)),f3(a1,f5(a2)))),
% 126.95/127.07 inference(scs_inference,[],[143,161,147,1873,1779,1858,1850,1795,18,11,20,19,27,26])).
% 126.95/127.07 cnf(1893,plain,
% 126.95/127.07 (P3(f3(f3(a1,a2),f5(a2)),f3(f3(a1,a2),f5(a2)))),
% 126.95/127.07 inference(scs_inference,[],[143,161,28])).
% 126.95/127.07 cnf(1899,plain,
% 126.95/127.07 (P3(f7(a2,a2),f7(a2,a2))),
% 126.95/127.07 inference(scs_inference,[],[143,161,163,664,1079,919,28,18,11,12])).
% 126.95/127.07 cnf(1905,plain,
% 126.95/127.07 (~P2(f3(a1,a2),a1)),
% 126.95/127.07 inference(scs_inference,[],[1091,1871,1664,18,11])).
% 126.95/127.07 cnf(1915,plain,
% 126.95/127.07 (P3(f3(f3(a1,a2),f3(a2,a2)),f3(f3(a1,a2),f3(a2,a2)))),
% 126.95/127.07 inference(scs_inference,[],[145,161,165,1091,1893,1871,1664,18,11,19,8,27,26,28])).
% 126.95/127.07 cnf(1926,plain,
% 126.95/127.07 (P2(f7(a4,a2),f3(f3(a1,a1),a2))),
% 126.95/127.07 inference(scs_inference,[],[1806,866,18])).
% 126.95/127.07 cnf(1932,plain,
% 126.95/127.07 (P3(f3(f3(a4,a4),a4),f3(a4,f3(a4,a4)))),
% 126.95/127.07 inference(scs_inference,[],[1915,1806,1702,866,18,11,19,1132])).
% 126.95/127.07 cnf(1938,plain,
% 126.95/127.07 (P3(f7(a4,f5(a1)),f3(f7(a1,a1),f5(a1)))),
% 126.95/127.07 inference(scs_inference,[],[434,1538,21])).
% 126.95/127.07 cnf(1940,plain,
% 126.95/127.07 (~P2(f3(a1,a2),f3(a2,f5(a2)))),
% 126.95/127.07 inference(scs_inference,[],[147,1905,434,1538,21,18])).
% 126.95/127.07 cnf(1965,plain,
% 126.95/127.07 (P3(f3(a2,a2),f3(a2,a2))),
% 126.95/127.07 inference(scs_inference,[],[147,163,165,1938,1826,1754,1737,1899,1377,20,18,11,27,26,19,12])).
% 126.95/127.07 cnf(1972,plain,
% 126.95/127.07 (P3(f7(a4,f3(a2,a2)),f3(a2,a2))),
% 126.95/127.07 inference(scs_inference,[],[161,163,1965,1425,28,20])).
% 126.95/127.07 cnf(2018,plain,
% 126.95/127.07 (P2(f3(a1,f3(a2,a2)),f3(f7(a2,a1),f3(a2,a2)))),
% 126.95/127.07 inference(scs_inference,[],[1492,1891,876,18,11])).
% 126.95/127.07 cnf(2024,plain,
% 126.95/127.07 (P2(f3(a2,a2),f3(f7(a2,a1),f3(a2,a2)))),
% 126.95/127.07 inference(scs_inference,[],[1052,2018,18])).
% 126.95/127.07 cnf(2044,plain,
% 126.95/127.07 (P2(f3(f7(a2,a1),f3(a2,a2)),f3(a2,a2))),
% 126.95/127.07 inference(scs_inference,[],[161,2024,1926,1862,228,28,18,11])).
% 126.95/127.07 cnf(2069,plain,
% 126.95/127.07 (P2(f3(a1,f3(a2,a2)),f3(f7(a4,a1),f3(a2,a2)))),
% 126.95/127.07 inference(scs_inference,[],[825,2018,18])).
% 126.95/127.07 cnf(2071,plain,
% 126.95/127.07 (P2(f7(a1,f3(a1,a1)),f7(f3(a1,f5(a1)),f3(a1,a1)))),
% 126.95/127.07 inference(scs_inference,[],[554,825,2018,18,11])).
% 126.95/127.07 cnf(2083,plain,
% 126.95/127.07 (~P2(f3(a1,a2),f6(a2))),
% 126.95/127.07 inference(scs_inference,[],[222,1664,18])).
% 126.95/127.07 cnf(2100,plain,
% 126.95/127.07 (P2(f3(f7(a4,a1),f3(a2,a2)),f3(a1,f3(a2,a2)))),
% 126.95/127.07 inference(scs_inference,[],[2069,2071,554,721,1538,21,18,11])).
% 126.95/127.07 cnf(2106,plain,
% 126.95/127.07 (P3(f3(a2,f5(a4)),f3(f3(a1,a2),f5(a4)))),
% 126.95/127.07 inference(scs_inference,[],[181,228,28])).
% 126.95/127.07 cnf(2108,plain,
% 126.95/127.07 (~P2(a4,f3(f7(a2,a2),f5(f7(a2,a2))))),
% 126.95/127.07 inference(scs_inference,[],[181,1540,334,228,28,18])).
% 126.95/127.07 cnf(2110,plain,
% 126.95/127.07 (~P2(f6(a2),f3(a1,a2))),
% 126.95/127.07 inference(scs_inference,[],[181,1540,2083,334,228,28,18,11])).
% 126.95/127.07 cnf(2139,plain,
% 126.95/127.07 (P3(f3(f3(a1,a1),a2),f3(a1,a4))),
% 126.95/127.07 inference(scs_inference,[],[169,1700,1926,228,27,26,20])).
% 126.95/127.07 cnf(2182,plain,
% 126.95/127.07 (~P2(f7(a2,f6(a2)),f3(f7(a4,a2),f5(a2)))),
% 126.95/127.07 inference(scs_inference,[],[1842,1723,18])).
% 126.95/127.07 cnf(2198,plain,
% 126.95/127.07 (~P2(a4,f3(f7(a4,a2),f5(a2)))),
% 126.95/127.07 inference(scs_inference,[],[2182,773,1538,66,21,18])).
% 126.95/127.07 cnf(2202,plain,
% 126.95/127.07 (P3(f3(a1,f5(a4)),f3(f7(f3(a1,a1),f3(a1,a1)),f5(a4)))),
% 126.95/127.07 inference(scs_inference,[],[173,2182,361,773,1538,66,228,21,18,11,28])).
% 126.95/127.07 cnf(2206,plain,
% 126.95/127.07 (P2(f3(f7(a2,a1),f3(a2,a2)),f7(a4,f3(a2,a2)))),
% 126.95/127.07 inference(scs_inference,[],[2044,1425,18])).
% 126.95/127.07 cnf(2208,plain,
% 126.95/127.07 (~P2(f3(f7(a4,a2),f5(a2)),a4)),
% 126.95/127.07 inference(scs_inference,[],[2044,2198,1425,18,11])).
% 126.95/127.07 cnf(2218,plain,
% 126.95/127.07 (P2(f7(a4,f3(a2,a2)),f3(f7(a2,a1),f3(a2,a2)))),
% 126.95/127.07 inference(scs_inference,[],[2206,1797,864,18,11])).
% 126.95/127.07 cnf(2231,plain,
% 126.95/127.07 (P3(f5(a4),f3(f7(f3(a1,a1),f3(a1,a1)),f5(a4)))),
% 126.95/127.07 inference(scs_inference,[],[2202,757,20])).
% 126.95/127.07 cnf(2233,plain,
% 126.95/127.07 (~P2(f3(a1,a2),f3(f3(a1,f5(a1)),f3(a1,a1)))),
% 126.95/127.07 inference(scs_inference,[],[2202,757,1818,1806,20,18])).
% 126.95/127.07 cnf(2247,plain,
% 126.95/127.07 (P3(f7(a4,f5(a4)),f3(f7(f3(a1,a1),f3(a1,a1)),f5(a4)))),
% 126.95/127.07 inference(scs_inference,[],[1555,2231,20])).
% 126.95/127.07 cnf(2249,plain,
% 126.95/127.07 (P2(f7(a4,f3(a2,a2)),f3(a1,f3(a2,a2)))),
% 126.95/127.07 inference(scs_inference,[],[1555,2218,2231,1492,20,18])).
% 126.95/127.07 cnf(2251,plain,
% 126.95/127.07 (P2(f7(f7(a4,a1),f3(a2,a2)),f7(f7(a2,a1),f3(a2,a2)))),
% 126.95/127.07 inference(scs_inference,[],[1555,2218,823,2231,1492,20,18,11])).
% 126.95/127.07 cnf(2253,plain,
% 126.95/127.07 (~P3(x22531,f5(a4))+P3(x22531,f3(f7(f3(a1,a1),f3(a1,a1)),f5(a4)))),
% 126.95/127.07 inference(scs_inference,[],[1555,2218,823,2231,1492,20,18,11,21])).
% 126.95/127.07 cnf(2262,plain,
% 126.95/127.07 (~P2(f3(f3(a1,f5(a1)),f3(a1,a1)),f3(a1,a2))),
% 126.95/127.07 inference(scs_inference,[],[2233,2251,823,18,11])).
% 126.95/127.07 cnf(2277,plain,
% 126.95/127.07 (P2(f3(a1,f3(a2,a2)),f7(a4,f3(a2,a2)))),
% 126.95/127.07 inference(scs_inference,[],[2249,2262,1972,556,20,18,11])).
% 126.95/127.07 cnf(2288,plain,
% 126.95/127.07 (P2(f3(f7(a4,a1),f3(a2,a2)),f7(a4,f3(a2,a2)))),
% 126.95/127.07 inference(scs_inference,[],[2277,1579,2100,1727,20,18])).
% 126.95/127.07 cnf(2303,plain,
% 126.95/127.07 (~P2(f3(f7(a4,a2),f5(a2)),f3(a1,a4))),
% 126.95/127.07 inference(scs_inference,[],[2208,226,18])).
% 126.95/127.07 cnf(2305,plain,
% 126.95/127.07 (P2(f7(a4,f3(a2,a2)),f3(f7(a4,a1),f3(a2,a2)))),
% 126.95/127.07 inference(scs_inference,[],[2288,2208,226,18,11])).
% 126.95/127.07 cnf(2313,plain,
% 126.95/127.07 (~P2(a1,f3(a1,a4))),
% 126.95/127.07 inference(scs_inference,[],[2303,1842,18])).
% 126.95/127.07 cnf(2333,plain,
% 126.95/127.07 (~P2(f3(a1,a4),a1)),
% 126.95/127.07 inference(scs_inference,[],[2313,11])).
% 126.95/127.07 cnf(2359,plain,
% 126.95/127.07 (~P3(f7(a4,a4),a4)+P2(a4,f3(a1,a2))),
% 126.95/127.07 inference(scs_inference,[],[204,1128,2333,1940,1795,781,1775,50,18,11,19,22,10,20,21])).
% 126.95/127.07 cnf(2424,plain,
% 126.95/127.07 (~P2(f3(f5(a4),f5(f5(a4))),f7(a4,a2))),
% 126.95/127.07 inference(scs_inference,[],[216,1130,1704,11,18])).
% 126.95/127.07 cnf(2430,plain,
% 126.95/127.07 (~P2(f7(a4,a2),f3(f5(a4),f5(f5(a4))))),
% 126.95/127.07 inference(scs_inference,[],[2424,11])).
% 126.95/127.07 cnf(2461,plain,
% 126.95/127.07 (~P2(f3(f5(a2),f5(f5(a2))),f7(a4,a2))),
% 126.95/127.07 inference(scs_inference,[],[216,1739,18])).
% 126.95/127.07 cnf(2463,plain,
% 126.95/127.07 (~P2(f3(a1,a2),f3(a4,f5(a4)))),
% 126.95/127.08 inference(scs_inference,[],[216,1739,1860,18,11])).
% 126.95/127.08 cnf(2485,plain,
% 126.95/127.08 (P3(f3(f7(a4,a1),f3(a2,a2)),f3(a2,a2))),
% 126.95/127.08 inference(scs_inference,[],[2305,1972,20])).
% 126.95/127.08 cnf(2487,plain,
% 126.95/127.08 (~P2(a4,f3(f7(a4,a4),f5(f7(a4,a4))))),
% 126.95/127.08 inference(scs_inference,[],[2305,1677,334,1972,20,18])).
% 126.95/127.08 cnf(2489,plain,
% 126.95/127.08 (~P2(f7(a4,a2),f3(f5(a2),f5(f5(a2))))),
% 126.95/127.08 inference(scs_inference,[],[2461,2305,1677,334,1972,20,18,11])).
% 126.95/127.08 cnf(2499,plain,
% 126.95/127.08 (~P2(f3(f6(a4),f5(f6(a4))),f7(a4,a2))),
% 126.95/127.08 inference(scs_inference,[],[216,1844,18])).
% 126.95/127.08 cnf(2510,plain,
% 126.95/127.08 (P2(f3(a1,a4),f7(a2,f6(a2)))),
% 126.95/127.08 inference(scs_inference,[],[226,781,18])).
% 126.95/127.08 cnf(2518,plain,
% 126.95/127.08 (P3(f7(a2,f6(a2)),a4)),
% 126.95/127.08 inference(scs_inference,[],[226,220,2499,2485,781,18,11,422,19,20])).
% 126.95/127.08 cnf(2520,plain,
% 126.95/127.08 (P3(f7(a2,f6(a2)),a2)),
% 126.95/127.08 inference(scs_inference,[],[2518,133])).
% 126.95/127.08 cnf(2522,plain,
% 126.95/127.08 (~P2(f3(f3(a1,a1),a1),f3(a1,a4))),
% 126.95/127.08 inference(scs_inference,[],[226,2518,978,133,18])).
% 126.95/127.08 cnf(2524,plain,
% 126.95/127.08 (P2(a4,f3(a1,a4))),
% 126.95/127.08 inference(scs_inference,[],[226,2518,978,133,18,11])).
% 126.95/127.08 cnf(2539,plain,
% 126.95/127.08 (P3(f3(a4,f5(a4)),f3(a4,f5(a4)))),
% 126.95/127.08 inference(scs_inference,[],[220,228,28])).
% 126.95/127.08 cnf(2549,plain,
% 126.95/127.08 (P2(f7(f3(a1,a4),f5(a4)),f7(a4,f5(a4)))),
% 126.95/127.08 inference(scs_inference,[],[220,226,216,228,2510,2522,1221,246,28,20,18,11,8,27])).
% 126.95/127.08 cnf(2551,plain,
% 126.95/127.08 (P2(f3(f3(a1,a4),f5(a4)),f3(a4,f5(a4)))),
% 126.95/127.08 inference(scs_inference,[],[220,226,216,228,2510,2522,1221,246,28,20,18,11,8,27,26])).
% 126.95/127.08 cnf(2561,plain,
% 126.95/127.08 (P3(f3(a1,a4),a4)),
% 126.95/127.08 inference(scs_inference,[],[220,2524,20])).
% 126.95/127.08 cnf(2565,plain,
% 126.95/127.08 (P2(f7(a4,f5(a4)),f7(f3(a1,a4),f5(a4)))),
% 126.95/127.08 inference(scs_inference,[],[220,2549,2524,761,20,18,11])).
% 126.95/127.08 cnf(2575,plain,
% 126.95/127.08 (P2(f7(f7(a4,a4),f5(a4)),f7(a4,f5(a4)))),
% 126.95/127.08 inference(scs_inference,[],[230,228,27])).
% 126.95/127.08 cnf(2577,plain,
% 126.95/127.08 (P2(f3(f7(a4,a4),f5(a4)),f3(a4,f5(a4)))),
% 126.95/127.08 inference(scs_inference,[],[230,228,27,26])).
% 126.95/127.08 cnf(2581,plain,
% 126.95/127.08 (P3(f3(f3(a1,a1),a2),a4)),
% 126.95/127.08 inference(scs_inference,[],[230,220,228,2561,2139,50,27,26,28,21])).
% 126.95/127.08 cnf(2583,plain,
% 126.95/127.08 (~P2(f7(a4,f3(a1,a1)),f7(a4,a4))),
% 126.95/127.08 inference(scs_inference,[],[230,220,228,2561,1589,2139,50,27,26,28,21,18])).
% 126.95/127.08 cnf(2593,plain,
% 126.95/127.08 (P2(a4,f7(a4,a4))),
% 126.95/127.08 inference(scs_inference,[],[216,230,2565,1276,2247,20,18,11])).
% 126.95/127.08 cnf(2595,plain,
% 126.95/127.08 (P3(f3(f3(a1,a1),a2),a2)),
% 126.95/127.08 inference(scs_inference,[],[216,230,2565,2581,1276,2247,20,18,11,133])).
% 126.95/127.08 cnf(2597,plain,
% 126.95/127.08 (P3(f5(a4),f5(a4))),
% 126.95/127.08 inference(scs_inference,[],[216,230,228,2565,2581,1276,2247,20,18,11,133,12])).
% 126.95/127.08 cnf(2605,plain,
% 126.95/127.08 (P2(f3(a1,a4),f7(a4,a4))),
% 126.95/127.08 inference(scs_inference,[],[226,2593,18])).
% 126.95/127.08 cnf(2607,plain,
% 126.95/127.08 (~P2(f7(a4,a4),f7(a4,f3(a1,a1)))),
% 126.95/127.08 inference(scs_inference,[],[226,2583,2593,18,11])).
% 126.95/127.08 cnf(2619,plain,
% 126.95/127.08 (P3(f7(a4,a4),a4)),
% 126.95/127.08 inference(scs_inference,[],[220,2593,20])).
% 126.95/127.08 cnf(2623,plain,
% 126.95/127.08 (~P2(f3(f3(a2,a2),f5(f3(a2,a2))),f7(a4,a4))),
% 126.95/127.08 inference(scs_inference,[],[220,230,2593,1662,2561,1700,20,21,18])).
% 126.95/127.08 cnf(2625,plain,
% 126.95/127.08 (P2(f7(a4,a4),f3(a1,a4))),
% 126.95/127.08 inference(scs_inference,[],[220,230,2605,2593,1662,2561,1700,20,21,18,11])).
% 126.95/127.08 cnf(2627,plain,
% 126.95/127.08 (P2(a4,f3(a1,a2))),
% 126.95/127.08 inference(scs_inference,[],[220,230,2605,2593,1662,2561,1700,20,21,18,11,2359])).
% 126.95/127.08 cnf(2628,plain,
% 126.95/127.08 (P3(f3(f3(f3(a1,a1),a2),f5(a4)),f3(a2,f5(a4)))),
% 126.95/127.08 inference(scs_inference,[],[220,230,228,2605,2595,2593,1662,2561,1700,20,21,18,11,2359,28])).
% 126.95/127.08 cnf(2638,plain,
% 126.95/127.08 (P3(a1,f3(a4,f5(a4)))),
% 126.95/127.08 inference(scs_inference,[],[234,2539,20])).
% 126.95/127.08 cnf(2640,plain,
% 126.95/127.08 (P3(f7(a2,a4),a4)),
% 126.95/127.08 inference(scs_inference,[],[234,2619,2539,1433,20,21])).
% 126.95/127.08 cnf(2642,plain,
% 126.95/127.08 (~P2(f3(a1,a2),f3(f5(a4),f5(f5(a4))))),
% 126.95/127.08 inference(scs_inference,[],[234,2430,2619,2539,1433,1806,20,21,18])).
% 126.95/127.08 cnf(2654,plain,
% 126.95/127.08 (P2(f3(a1,a4),f3(a1,a2))),
% 126.95/127.08 inference(scs_inference,[],[226,2627,18])).
% 126.95/127.08 cnf(2656,plain,
% 126.95/127.08 (P2(a1,f3(a4,f5(a4)))),
% 126.95/127.08 inference(scs_inference,[],[234,226,2627,18,11])).
% 126.95/127.08 cnf(2669,plain,
% 126.95/127.08 (P3(f3(a1,f5(a4)),f5(a4))),
% 126.95/127.08 inference(scs_inference,[],[1532,2597,20])).
% 126.95/127.08 cnf(2673,plain,
% 126.95/127.08 (~P2(f3(a1,a4),f3(a4,f5(a4)))),
% 126.95/127.08 inference(scs_inference,[],[234,1532,2597,2628,2333,2106,20,21,18])).
% 126.95/127.08 cnf(2675,plain,
% 126.95/127.08 (~P2(f7(a4,a4),f3(f3(a2,a2),f5(f3(a2,a2))))),
% 126.95/127.08 inference(scs_inference,[],[234,2623,1532,2597,2628,2333,2106,20,21,18,11])).
% 126.95/127.08 cnf(2683,plain,
% 126.95/127.08 (P3(f3(a1,a2),a4)),
% 126.95/127.08 inference(scs_inference,[],[2654,2561,20])).
% 126.95/127.08 cnf(2685,plain,
% 126.95/127.08 (P3(f7(a4,a4),f3(a1,a4))),
% 126.95/127.08 inference(scs_inference,[],[2654,2619,2561,248,20,21])).
% 126.95/127.08 cnf(2689,plain,
% 126.95/127.08 (P2(f3(a1,a2),f3(a1,a4))),
% 126.95/127.08 inference(scs_inference,[],[224,2654,2656,2619,2561,248,20,21,18,11])).
% 126.95/127.08 cnf(2706,plain,
% 126.95/127.08 (~P2(f3(f5(a4),f5(f5(a4))),f3(a1,a2))),
% 126.95/127.08 inference(scs_inference,[],[246,234,228,2642,2577,28,18,11])).
% 126.95/127.08 cnf(2728,plain,
% 126.95/127.08 (~P2(f3(a2,f5(a2)),f3(a1,a4))),
% 126.95/127.08 inference(scs_inference,[],[226,1883,18])).
% 127.05/127.08 cnf(2730,plain,
% 127.05/127.08 (P2(f3(a4,f5(a4)),f3(f3(a1,a4),f5(a4)))),
% 127.05/127.08 inference(scs_inference,[],[226,2551,1883,18,11])).
% 127.05/127.08 cnf(2732,plain,
% 127.05/127.08 (P3(f3(a1,a2),a2)),
% 127.05/127.08 inference(scs_inference,[],[226,2551,2683,1883,18,11,133])).
% 127.05/127.08 cnf(2734,plain,
% 127.05/127.08 (P2(f7(a2,f6(a2)),a2)+~P3(a2,f7(a2,f6(a2)))),
% 127.05/127.08 inference(scs_inference,[],[226,2551,2683,1883,2520,18,11,133,19])).
% 127.05/127.08 cnf(2738,plain,
% 127.05/127.08 (~P2(f3(a1,a4),f3(f7(a4,a4),f5(f7(a4,a4))))),
% 127.05/127.08 inference(scs_inference,[],[2487,2524,18])).
% 127.05/127.08 cnf(2740,plain,
% 127.05/127.08 (~P2(f3(a4,f5(a4)),f3(a1,a4))),
% 127.05/127.08 inference(scs_inference,[],[2673,2487,2524,18,11])).
% 127.05/127.08 cnf(2750,plain,
% 127.05/127.08 (P2(f7(a4,a4),f3(a1,a2))),
% 127.05/127.08 inference(scs_inference,[],[230,2627,18])).
% 127.05/127.08 cnf(2752,plain,
% 127.05/127.08 (P2(f7(a4,f5(a4)),f7(f7(a4,a4),f5(a4)))),
% 127.05/127.08 inference(scs_inference,[],[230,2575,2627,18,11])).
% 127.05/127.08 cnf(2758,plain,
% 127.05/127.08 (P2(f3(f3(a4,f5(a4)),f5(a4)),f3(a1,f5(a4)))),
% 127.05/127.08 inference(scs_inference,[],[228,230,234,2489,2575,2627,18,11,19,27,26])).
% 127.05/127.08 cnf(2767,plain,
% 127.05/127.08 (P3(f3(a1,a4),a2)),
% 127.05/127.08 inference(scs_inference,[],[2689,2732,20])).
% 127.05/127.08 cnf(2769,plain,
% 127.05/127.08 (P3(f3(a1,a2),f3(a1,a4))),
% 127.05/127.08 inference(scs_inference,[],[248,2689,2732,2683,20,21])).
% 127.05/127.08 cnf(2771,plain,
% 127.05/127.08 (~P2(f3(f7(a4,a2),f5(a2)),f7(a4,a4))),
% 127.05/127.08 inference(scs_inference,[],[230,248,2689,2732,2208,2683,20,21,18])).
% 127.05/127.08 cnf(2775,plain,
% 127.05/127.08 (P2(a2,f3(a1,a4))),
% 127.05/127.08 inference(scs_inference,[],[230,248,2689,2728,2732,2208,2683,1112,20,21,18,11,19])).
% 127.05/127.08 cnf(2778,plain,
% 127.05/127.08 (P2(f7(f7(a4,a4),f5(a1)),f7(a4,f5(a1)))),
% 127.05/127.08 inference(scs_inference,[],[230,248,2689,2728,2732,2208,2683,1112,40,20,21,18,11,19,1379,27])).
% 127.05/127.08 cnf(2780,plain,
% 127.05/127.08 (P2(f3(f7(a4,a4),f5(a1)),f3(a4,f5(a1)))),
% 127.05/127.08 inference(scs_inference,[],[230,248,2689,2728,2732,2208,2683,1112,40,20,21,18,11,19,1379,27,26])).
% 127.05/127.08 cnf(2784,plain,
% 127.05/127.08 (P3(f3(a1,a4),f7(a4,a4))),
% 127.05/127.08 inference(scs_inference,[],[2730,2767,2539,1719,20,21])).
% 127.05/127.08 cnf(2788,plain,
% 127.05/127.08 (P2(f3(a1,a2),f7(a4,a4))),
% 127.05/127.08 inference(scs_inference,[],[2750,2730,2771,2767,1842,2539,1719,20,21,18,11])).
% 127.05/127.08 cnf(2790,plain,
% 127.05/127.08 (P3(f7(a4,a4),a2)),
% 127.05/127.08 inference(scs_inference,[],[2750,2730,2771,2767,1842,2619,2539,1719,20,21,18,11,133])).
% 127.05/127.08 cnf(2794,plain,
% 127.05/127.08 (P2(f7(a4,a4),a2)),
% 127.05/127.08 inference(scs_inference,[],[2750,2730,2771,2767,1842,2619,2539,1719,658,20,21,18,11,133,12,19])).
% 127.05/127.08 cnf(2798,plain,
% 127.05/127.08 (P2(f3(a4,f5(a4)),f7(a4,a1))),
% 127.05/127.08 inference(scs_inference,[],[252,234,18])).
% 127.05/127.08 cnf(2800,plain,
% 127.05/127.08 (~P2(f3(f7(a4,a4),f5(f7(a4,a4))),f3(a1,a4))),
% 127.05/127.08 inference(scs_inference,[],[252,234,2738,18,11])).
% 127.05/127.08 cnf(2812,plain,
% 127.05/127.08 (P3(f7(a4,a4),f3(a1,a2))),
% 127.05/127.08 inference(scs_inference,[],[252,2790,2638,181,20,21])).
% 127.05/127.08 cnf(2814,plain,
% 127.05/127.08 (~P2(f3(a4,f5(a4)),f7(a4,a4))),
% 127.05/127.08 inference(scs_inference,[],[252,2625,2740,2790,2638,181,20,21,18])).
% 127.05/127.08 cnf(2816,plain,
% 127.05/127.08 (P2(f7(a4,a1),f3(a4,f5(a4)))),
% 127.05/127.08 inference(scs_inference,[],[252,2625,2740,2798,2790,2638,181,20,21,18,11])).
% 127.05/127.08 cnf(2826,plain,
% 127.05/127.08 (~P2(a2,f7(a4,f3(a1,a1)))),
% 127.05/127.08 inference(scs_inference,[],[2607,2784,2812,2752,2794,2247,20,21,18])).
% 127.05/127.08 cnf(2828,plain,
% 127.05/127.08 (~P2(f7(a4,a4),f3(a4,f5(a4)))),
% 127.05/127.08 inference(scs_inference,[],[2607,2784,2812,2814,2752,2794,2247,20,21,18,11])).
% 127.05/127.08 cnf(2840,plain,
% 127.05/127.08 (P2(f3(a1,f5(a4)),f3(f3(a4,f5(a4)),f5(a4)))),
% 127.05/127.08 inference(scs_inference,[],[234,2758,757,80,27,26,18,11])).
% 127.05/127.08 cnf(2842,plain,
% 127.05/127.08 (P3(f7(a2,a4),a2)),
% 127.05/127.08 inference(scs_inference,[],[234,2758,757,2640,80,27,26,18,11,133])).
% 127.05/127.08 cnf(2859,plain,
% 127.05/127.08 (~P2(f7(a4,a4),f7(a4,a1))),
% 127.05/127.08 inference(scs_inference,[],[2816,2828,18])).
% 127.05/127.08 cnf(2872,plain,
% 127.05/127.08 (P3(f3(f3(a4,f5(a4)),f5(a4)),f5(a4))),
% 127.05/127.08 inference(scs_inference,[],[2840,2669,20])).
% 127.05/127.08 cnf(2878,plain,
% 127.05/127.08 (P2(f3(a4,f5(a1)),f3(f7(a4,a4),f5(a1)))),
% 127.05/127.08 inference(scs_inference,[],[2675,2840,2780,2625,2842,2669,1112,20,21,18,11])).
% 127.05/127.08 cnf(2884,plain,
% 127.05/127.08 (P3(f7(a4,f5(a1)),f3(a1,f5(a1)))),
% 127.05/127.08 inference(scs_inference,[],[1183,338,20])).
% 127.05/127.08 cnf(2890,plain,
% 127.05/127.08 (~P2(f7(a4,a1),f7(a4,a4))),
% 127.05/127.08 inference(scs_inference,[],[2859,2878,2780,1183,2842,338,181,20,21,18,11])).
% 127.05/127.08 cnf(2892,plain,
% 127.05/127.08 (P3(f3(f3(a1,a4),f7(a1,a1)),f3(f3(a1,a4),f7(a1,a1)))),
% 127.05/127.08 inference(scs_inference,[],[246,2859,2878,2780,1183,2842,338,181,50,20,21,18,11,28])).
% 127.05/127.08 cnf(2906,plain,
% 127.05/127.08 (P2(f7(a4,f5(a1)),f7(f7(a4,a4),f5(a1)))),
% 127.05/127.08 inference(scs_inference,[],[252,2778,2859,18,11])).
% 127.05/127.08 cnf(2910,plain,
% 127.05/127.08 (P2(f7(f7(a4,a4),f6(f7(a4,a4))),a4)),
% 127.05/127.08 inference(scs_inference,[],[252,2892,2778,2859,18,11,19,414])).
% 127.05/127.08 cnf(2921,plain,
% 127.05/127.08 (~P2(f3(a1,a4),f7(a4,f3(a1,a1)))),
% 127.05/127.08 inference(scs_inference,[],[2775,2906,2826,2884,20,18])).
% 127.05/127.08 cnf(2931,plain,
% 127.05/127.08 (P2(f7(f7(a4,a4),f6(f7(a4,a4))),f7(a4,a4))),
% 127.05/127.08 inference(scs_inference,[],[2910,2593,18])).
% 127.05/127.08 cnf(2945,plain,
% 127.05/127.08 (~P2(f7(a4,f3(a1,a1)),f3(a1,a4))),
% 127.05/127.08 inference(scs_inference,[],[2890,2921,2931,2685,1383,21,18,11])).
% 127.05/127.08 cnf(3142,plain,
% 127.05/127.08 (P2(f3(a1,a2),f3(a1,f7(a4,a4)))),
% 127.05/127.08 inference(scs_inference,[],[2788,1462,18])).
% 127.05/127.08 cnf(3153,plain,
% 127.05/127.08 (P3(f3(a1,f7(a4,a4)),f3(a1,a4))),
% 127.05/127.08 inference(scs_inference,[],[3142,2769,20])).
% 127.05/127.08 cnf(3165,plain,
% 127.05/127.08 (P3(f3(a1,f7(a4,a4)),a2)),
% 127.05/127.08 inference(scs_inference,[],[3153,2767,947,2790,20,21])).
% 127.05/127.08 cnf(3256,plain,
% 127.05/127.08 (P3(f3(a1,a4),f3(a1,f7(a4,a4)))),
% 127.05/127.08 inference(scs_inference,[],[4,959,1775,793,1806,1795,1737,2625,518,2872,228,658,690,11,2253,18,21,28,26,27,15,16,25,24,23,12,8,9,17,14,13,1416,19,30,29,31,20])).
% 127.05/127.08 cnf(3287,plain,
% 127.05/127.08 (P3(f6(a4),a2)),
% 127.05/127.08 inference(scs_inference,[],[2463,129,793,1795,1737,1229,582,3153,3256,11,19,21,18,20])).
% 127.05/127.08 cnf(3368,plain,
% 127.05/127.08 (~P2(f7(a2,a1),f3(a1,a4))),
% 127.05/127.08 inference(scs_inference,[],[2800,1340,1677,11,18])).
% 127.05/127.08 cnf(3379,plain,
% 127.05/127.08 (~P2(f3(f7(a2,a2),f5(f7(a2,a2))),a4)),
% 127.05/127.08 inference(scs_inference,[],[2108,11])).
% 127.05/127.08 cnf(3383,plain,
% 127.05/127.08 (P3(a2,f3(a1,f7(a4,a4)))),
% 127.05/127.08 inference(scs_inference,[],[88,252,1842,1575,2108,11,18,20])).
% 127.05/127.08 cnf(3396,plain,
% 127.05/127.08 (~P2(f3(f5(a4),f5(f5(a4))),f7(a4,a4))),
% 127.05/127.08 inference(scs_inference,[],[2706,2750,1677,11,18])).
% 127.05/127.08 cnf(3425,plain,
% 127.05/127.08 (P2(f6(a2),f7(f7(a2,f6(a2)),f6(a2)))),
% 127.05/127.08 inference(scs_inference,[],[1116,11])).
% 127.05/127.08 cnf(3435,plain,
% 127.05/127.08 (~P2(f7(a2,f6(a2)),a2)),
% 127.05/127.08 inference(scs_inference,[],[1795,1538,2750,1116,3383,54,3165,11,18,19,422,21,27])).
% 127.05/127.08 cnf(3441,plain,
% 127.05/127.08 (~P3(a2,f7(a2,f6(a2)))),
% 127.05/127.08 inference(scs_inference,[],[3435,2734])).
% 127.05/127.08 cnf(3463,plain,
% 127.05/127.08 (~P3(f3(a1,a2),f7(a2,f6(a2)))),
% 127.05/127.08 inference(scs_inference,[],[4,7,181,980,1043,1932,3425,163,3441,11,18,20,27,21])).
% 127.05/127.08 cnf(3508,plain,
% 127.05/127.08 (~P3(f7(a4,a4),f7(a2,f6(a2)))),
% 127.05/127.08 inference(scs_inference,[],[2110,1775,3425,3396,3463,11,18,21])).
% 127.05/127.08 cnf(3522,plain,
% 127.05/127.08 (P2(f3(f3(a1,a1),a1),f3(a1,f5(a1)))),
% 127.05/127.08 inference(scs_inference,[],[332,1309,864,11,18])).
% 127.05/127.08 cnf(3549,plain,
% 127.05/127.08 (~P3(f3(a1,f7(a4,a4)),f7(a2,f6(a2)))),
% 127.05/127.08 inference(scs_inference,[],[2945,959,518,1033,1423,1781,3508,11,18,20,21])).
% 127.05/127.08 cnf(3593,plain,
% 127.05/127.08 (~P2(f7(a4,a1),f6(a4))),
% 127.05/127.08 inference(scs_inference,[],[1231,2798,3368,11,18])).
% 127.05/127.08 cnf(3597,plain,
% 127.05/127.08 (~P3(f3(a1,a4),f7(a2,f6(a2)))),
% 127.05/127.08 inference(scs_inference,[],[1231,582,3153,2798,530,3368,3549,11,18,20,21])).
% 127.05/127.08 cnf(3683,plain,
% 127.05/127.08 (~P2(f3(a1,a2),f3(f5(a2),f5(f5(a2))))),
% 127.05/127.08 inference(scs_inference,[],[2489,1806,3593,11,18])).
% 127.05/127.08 cnf(3982,plain,
% 127.05/127.08 (P2(f7(a2,f6(a2)),f3(a1,a4))),
% 127.05/127.08 inference(scs_inference,[],[2510,11])).
% 127.05/127.08 cnf(4094,plain,
% 127.05/127.08 (~P1(f7(a2,f6(a2)))),
% 127.05/127.08 inference(scs_inference,[],[4,3379,3982,3683,3287,759,3597,652,52,17,9,8,11,24,25,28,26,20,18,31,29,30,12])).
% 127.05/127.08 cnf(4110,plain,
% 127.05/127.08 ($false),
% 127.05/127.08 inference(scs_inference,[],[3522,4094,54,3,11,16]),
% 127.05/127.08 ['proof']).
% 127.05/127.08 % SZS output end Proof
% 127.05/127.08 % Total time :126.310000s
%------------------------------------------------------------------------------