TSTP Solution File: FLD021-3 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : FLD021-3 : 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 : n026.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 22:26:33 EDT 2023
% Result : Unsatisfiable 1.70s 1.78s
% Output : CNFRefutation 1.70s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : FLD021-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n026.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 : Sun Aug 27 23:46:49 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.57 start to proof:theBenchmark
% 1.63/1.77 %-------------------------------------------
% 1.63/1.77 % File :CSE---1.6
% 1.63/1.77 % Problem :theBenchmark
% 1.63/1.77 % Transform :cnf
% 1.63/1.77 % Format :tptp:raw
% 1.63/1.77 % Command :java -jar mcs_scs.jar %d %s
% 1.63/1.77
% 1.63/1.77 % Result :Theorem 1.140000s
% 1.63/1.77 % Output :CNFRefutation 1.140000s
% 1.63/1.77 %-------------------------------------------
% 1.63/1.77 %--------------------------------------------------------------------------
% 1.63/1.77 % File : FLD021-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 1.63/1.77 % Domain : Field Theory (Ordered fields)
% 1.63/1.77 % Problem : Every element equal to zero is an additive identity
% 1.63/1.77 % Version : [Dra93] axioms : Especial.
% 1.63/1.77 % Theorem formulation : Functional with re axiom set.
% 1.63/1.77 % English :
% 1.63/1.77
% 1.63/1.77 % Refs : [Dra93] Draeger (1993), Anwendung des Theorembeweisers SETHEO
% 1.63/1.77 % Source : [Dra93]
% 1.63/1.77 % Names :
% 1.63/1.77
% 1.63/1.77 % Status : Unsatisfiable
% 1.63/1.77 % Rating : 0.00 v2.4.0, 0.00 v2.2.1, 0.33 v2.1.0
% 1.63/1.77 % Syntax : Number of clauses : 30 ( 7 unt; 3 nHn; 30 RR)
% 1.63/1.77 % Number of literals : 81 ( 0 equ; 50 neg)
% 1.63/1.77 % Maximal clause size : 5 ( 2 avg)
% 1.63/1.77 % Maximal term depth : 2 ( 1 avg)
% 1.63/1.78 % Number of predicates : 4 ( 4 usr; 0 prp; 1-3 aty)
% 1.63/1.78 % Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% 1.63/1.78 % Number of variables : 73 ( 0 sgn)
% 1.63/1.78 % SPC : CNF_UNS_RFO_NEQ_NHN
% 1.63/1.78
% 1.63/1.78 % Comments :
% 1.63/1.78 % Bugfixes : v2.1.0 - Bugfix in FLD002-0.ax
% 1.70/1.78 %--------------------------------------------------------------------------
% 1.70/1.78 include('Axioms/FLD002-0.ax').
% 1.70/1.78 %--------------------------------------------------------------------------
% 1.70/1.78 cnf(a_is_defined,hypothesis,
% 1.70/1.78 defined(a) ).
% 1.70/1.78
% 1.70/1.78 cnf(m_is_defined,hypothesis,
% 1.70/1.78 defined(m) ).
% 1.70/1.78
% 1.70/1.78 cnf(sum_3,negated_conjecture,
% 1.70/1.78 sum(additive_identity,m,additive_identity) ).
% 1.70/1.78
% 1.70/1.78 cnf(not_sum_4,negated_conjecture,
% 1.70/1.78 ~ sum(m,a,a) ).
% 1.70/1.78
% 1.70/1.78 %--------------------------------------------------------------------------
% 1.70/1.78 %-------------------------------------------
% 1.70/1.78 % Proof found
% 1.70/1.78 % SZS status Theorem for theBenchmark
% 1.70/1.78 % SZS output start Proof
% 1.70/1.78 %ClaNum:30(EqnAxiom:0)
% 1.70/1.78 %VarNum:162(SingletonVarNum:73)
% 1.70/1.78 %MaxLitNum:5
% 1.70/1.78 %MaxfuncDepth:1
% 1.70/1.78 %SharedTerms:11
% 1.70/1.78 %goalClause: 5 7
% 1.70/1.78 %singleGoalClaCount:2
% 1.70/1.78 [1]P1(a1)
% 1.70/1.78 [2]P1(a4)
% 1.70/1.78 [3]P1(a2)
% 1.70/1.78 [4]P1(a5)
% 1.70/1.78 [5]P2(a1,a5,a1)
% 1.70/1.78 [6]~P2(a1,a1,a4)
% 1.70/1.78 [7]~P2(a5,a2,a2)
% 1.70/1.78 [13]~P1(x131)+P2(a1,x131,x131)
% 1.70/1.78 [14]~P1(x141)+P4(a4,x141,x141)
% 1.70/1.78 [8]~P1(x81)+P1(f6(x81))
% 1.70/1.78 [15]~P1(x151)+P2(f6(x151),x151,a1)
% 1.70/1.78 [22]~P2(x222,x221,x223)+P2(x221,x222,x223)
% 1.70/1.78 [23]~P4(x232,x231,x233)+P4(x231,x232,x233)
% 1.70/1.78 [16]~P1(x161)+P2(a1,x161,a1)+P1(f8(x161))
% 1.70/1.78 [20]~P1(x201)+P4(f8(x201),x201,a4)+P2(a1,x201,a1)
% 1.70/1.78 [19]~P3(x192,x191)+~P3(x191,x192)+P2(a1,x191,x192)
% 1.70/1.78 [10]~P1(x102)+~P1(x101)+P1(f3(x101,x102))
% 1.70/1.78 [11]~P1(x112)+~P1(x111)+P1(f7(x111,x112))
% 1.70/1.78 [17]~P1(x172)+~P1(x171)+P2(x171,x172,f3(x171,x172))
% 1.70/1.78 [18]~P1(x182)+~P1(x181)+P4(x181,x182,f7(x181,x182))
% 1.70/1.78 [12]~P3(x121,x123)+P3(x121,x122)+~P3(x123,x122)
% 1.70/1.78 [9]P3(x92,x91)+~P1(x91)+~P1(x92)+P3(x91,x92)
% 1.70/1.78 [21]~P4(x213,x212,x211)+P3(a1,x211)+~P3(a1,x212)+~P3(a1,x213)
% 1.70/1.78 [24]~P2(x243,x245,x241)+P3(x241,x242)+~P2(x244,x245,x242)+~P3(x243,x244)
% 1.70/1.78 [25]~P2(x251,x256,x254)+P2(x251,x252,x253)+~P2(x254,x255,x253)+~P2(x256,x255,x252)
% 1.70/1.78 [26]~P2(x266,x264,x261)+P2(x261,x262,x263)+~P2(x264,x262,x265)+~P2(x266,x265,x263)
% 1.70/1.78 [27]~P4(x271,x276,x274)+P4(x271,x272,x273)+~P4(x274,x275,x273)+~P4(x276,x275,x272)
% 1.70/1.78 [28]~P4(x286,x284,x281)+P4(x281,x282,x283)+~P4(x284,x282,x285)+~P4(x286,x285,x283)
% 1.70/1.78 [29]~P4(x295,x297,x292)+~P4(x294,x297,x291)+P2(x291,x292,x293)+~P2(x294,x295,x296)+~P4(x296,x297,x293)
% 1.70/1.78 [30]~P4(x307,x302,x305)+~P4(x306,x302,x304)+P4(x301,x302,x303)+~P2(x304,x305,x303)+~P2(x306,x307,x301)
% 1.70/1.78 %EqnAxiom
% 1.70/1.78
% 1.70/1.78 %-------------------------------------------
% 1.70/1.78 cnf(31,plain,
% 1.70/1.78 (~P2(a2,a5,a2)),
% 1.70/1.78 inference(scs_inference,[],[7,22])).
% 1.70/1.78 cnf(32,plain,
% 1.70/1.78 (P3(a1,a1)),
% 1.70/1.78 inference(scs_inference,[],[7,1,22,9])).
% 1.70/1.78 cnf(33,plain,
% 1.70/1.78 (P4(a4,a1,a1)),
% 1.70/1.78 inference(scs_inference,[],[7,1,22,9,14])).
% 1.70/1.78 cnf(35,plain,
% 1.70/1.78 (P2(a1,a1,a1)),
% 1.70/1.78 inference(scs_inference,[],[7,1,22,9,14,13])).
% 1.70/1.78 cnf(37,plain,
% 1.70/1.78 (P2(f6(a1),a1,a1)),
% 1.70/1.78 inference(scs_inference,[],[7,1,22,9,14,13,15])).
% 1.70/1.78 cnf(39,plain,
% 1.70/1.78 (P1(f6(a1))),
% 1.70/1.78 inference(scs_inference,[],[7,1,22,9,14,13,15,8])).
% 1.70/1.78 cnf(41,plain,
% 1.70/1.78 (P4(a1,a1,f7(a1,a1))),
% 1.70/1.78 inference(scs_inference,[],[7,1,22,9,14,13,15,8,18])).
% 1.70/1.78 cnf(43,plain,
% 1.70/1.78 (P2(a1,a1,f3(a1,a1))),
% 1.70/1.78 inference(scs_inference,[],[7,1,22,9,14,13,15,8,18,17])).
% 1.70/1.78 cnf(45,plain,
% 1.70/1.78 (P1(f7(a1,a1))),
% 1.70/1.78 inference(scs_inference,[],[7,1,22,9,14,13,15,8,18,17,11])).
% 1.70/1.78 cnf(47,plain,
% 1.70/1.78 (P1(f3(a1,a1))),
% 1.70/1.78 inference(scs_inference,[],[7,1,22,9,14,13,15,8,18,17,11,10])).
% 1.70/1.78 cnf(49,plain,
% 1.70/1.78 (~P4(a4,f7(a1,a1),x491)+P4(a1,a1,x491)),
% 1.70/1.78 inference(scs_inference,[],[7,1,22,9,14,13,15,8,18,17,11,10,28])).
% 1.70/1.78 cnf(51,plain,
% 1.70/1.78 (P4(a4,f7(a1,a1),f7(a1,a1))),
% 1.70/1.78 inference(scs_inference,[],[7,1,22,9,14,13,15,8,18,17,11,10,28,27])).
% 1.70/1.78 cnf(53,plain,
% 1.70/1.78 (~P2(f6(a1),a1,a4)),
% 1.70/1.78 inference(scs_inference,[],[7,1,6,22,9,14,13,15,8,18,17,11,10,28,27,26])).
% 1.70/1.78 cnf(55,plain,
% 1.70/1.78 (~P2(a1,a5,a4)),
% 1.70/1.78 inference(scs_inference,[],[5,7,1,6,22,9,14,13,15,8,18,17,11,10,28,27,26,25])).
% 1.70/1.79 cnf(57,plain,
% 1.70/1.79 (P3(f3(a1,a1),f3(a1,a1))),
% 1.70/1.79 inference(scs_inference,[],[5,7,1,6,22,9,14,13,15,8,18,17,11,10,28,27,26,25,24])).
% 1.70/1.79 cnf(59,plain,
% 1.70/1.79 (P3(a1,f7(a1,a1))),
% 1.70/1.79 inference(scs_inference,[],[5,7,1,6,22,9,14,13,15,8,18,17,11,10,28,27,26,25,24,21])).
% 1.70/1.79 cnf(67,plain,
% 1.70/1.79 (~P4(a4,f7(a1,a1),a4)+P2(a1,a4,a1)+P1(f8(a4))),
% 1.70/1.79 inference(scs_inference,[],[5,7,1,2,6,22,9,14,13,15,8,18,17,11,10,28,27,26,25,24,21,29,19,20,16])).
% 1.70/1.79 cnf(71,plain,
% 1.70/1.79 (P4(f7(a1,a1),a4,f7(a1,a1))),
% 1.70/1.79 inference(scs_inference,[],[51,23])).
% 1.70/1.79 cnf(73,plain,
% 1.70/1.79 (P2(a5,a1,a1)),
% 1.70/1.79 inference(scs_inference,[],[5,51,23,22])).
% 1.70/1.79 cnf(75,plain,
% 1.70/1.79 (P2(a2,a2,f3(a2,a2))),
% 1.70/1.79 inference(scs_inference,[],[5,3,51,23,22,17])).
% 1.70/1.79 cnf(77,plain,
% 1.70/1.79 (~P2(x771,a1,a2)),
% 1.70/1.79 inference(scs_inference,[],[5,3,51,31,23,22,17,26])).
% 1.70/1.79 cnf(79,plain,
% 1.70/1.79 (P4(a2,a2,f7(a2,a2))),
% 1.70/1.79 inference(scs_inference,[],[5,3,51,31,23,22,17,26,18])).
% 1.70/1.79 cnf(81,plain,
% 1.70/1.79 (P1(f7(a2,a2))),
% 1.70/1.79 inference(scs_inference,[],[5,3,51,31,23,22,17,26,18,11])).
% 1.70/1.79 cnf(83,plain,
% 1.70/1.79 (P1(f3(a2,a2))),
% 1.70/1.79 inference(scs_inference,[],[5,3,51,31,23,22,17,26,18,11,10])).
% 1.70/1.79 cnf(103,plain,
% 1.70/1.79 (~P2(a5,a1,a4)),
% 1.70/1.79 inference(scs_inference,[],[55,22])).
% 1.70/1.79 cnf(105,plain,
% 1.70/1.79 (P2(f7(a1,a1),f7(a1,a1),f7(a1,a1))),
% 1.70/1.79 inference(scs_inference,[],[55,35,41,22,29])).
% 1.70/1.79 cnf(110,plain,
% 1.70/1.79 (P2(f6(a1),f3(a1,a1),f3(a1,a1))),
% 1.70/1.79 inference(scs_inference,[],[55,77,37,43,35,41,22,29,26,25])).
% 1.70/1.79 cnf(112,plain,
% 1.70/1.79 (P3(a5,a5)),
% 1.70/1.79 inference(scs_inference,[],[4,55,77,37,43,35,41,22,29,26,25,9])).
% 1.70/1.79 cnf(114,plain,
% 1.70/1.79 (P4(f3(a1,a1),a1,f7(a1,a1))),
% 1.70/1.79 inference(scs_inference,[],[4,55,77,37,43,35,41,22,29,26,25,9,30])).
% 1.70/1.79 cnf(116,plain,
% 1.70/1.79 (~P3(a2,a2)+P3(f3(a2,a2),f3(a2,a2))),
% 1.70/1.79 inference(scs_inference,[],[4,55,77,37,43,75,35,41,22,29,26,25,9,30,24])).
% 1.70/1.79 cnf(120,plain,
% 1.70/1.79 (P2(f3(a1,a1),f6(a1),f3(a1,a1))),
% 1.70/1.79 inference(scs_inference,[],[110,22])).
% 1.70/1.79 cnf(122,plain,
% 1.70/1.79 (P2(f3(a1,a1),a1,f3(a1,a1))),
% 1.70/1.79 inference(scs_inference,[],[110,35,43,22,26])).
% 1.70/1.79 cnf(124,plain,
% 1.70/1.79 (P2(a1,a5,a5)),
% 1.70/1.79 inference(scs_inference,[],[110,112,35,43,22,26,19])).
% 1.70/1.79 cnf(126,plain,
% 1.70/1.79 (P2(a5,a5,a5)),
% 1.70/1.79 inference(scs_inference,[],[110,112,73,35,43,22,26,19,25])).
% 1.70/1.79 cnf(128,plain,
% 1.70/1.79 (~P2(a4,a4,x1281)+P4(x1281,a1,a1)),
% 1.70/1.79 inference(scs_inference,[],[110,112,73,33,35,43,22,26,19,25,30])).
% 1.70/1.79 cnf(139,plain,
% 1.70/1.79 (~P2(f6(a1),f3(a1,a1),a2)),
% 1.70/1.79 inference(scs_inference,[],[122,53,110,77,22,26])).
% 1.70/1.79 cnf(140,plain,
% 1.70/1.79 (~P2(x1401,a1,a2)),
% 1.70/1.79 inference(rename_variables,[],[77])).
% 1.70/1.79 cnf(142,plain,
% 1.70/1.79 (P2(a1,f3(a1,a1),f3(a1,a1))),
% 1.70/1.79 inference(scs_inference,[],[122,53,110,77,57,22,26,19])).
% 1.70/1.79 cnf(144,plain,
% 1.70/1.79 (~P2(f3(a1,a1),a1,a4)),
% 1.70/1.79 inference(scs_inference,[],[6,122,53,110,77,57,35,43,22,26,19,25])).
% 1.70/1.79 cnf(146,plain,
% 1.70/1.79 (P4(a4,a5,a5)),
% 1.70/1.79 inference(scs_inference,[],[4,6,122,53,110,77,57,35,43,22,26,19,25,14])).
% 1.70/1.79 cnf(148,plain,
% 1.70/1.79 (P1(f6(a5))),
% 1.70/1.79 inference(scs_inference,[],[4,6,122,53,110,77,57,35,43,22,26,19,25,14,8])).
% 1.70/1.79 cnf(150,plain,
% 1.70/1.79 (P2(f6(a5),a5,a1)),
% 1.70/1.79 inference(scs_inference,[],[4,6,122,53,110,77,57,35,43,22,26,19,25,14,8,15])).
% 1.70/1.79 cnf(152,plain,
% 1.70/1.79 (P2(a1,a4,a4)),
% 1.70/1.79 inference(scs_inference,[],[4,2,6,122,53,110,77,57,35,43,22,26,19,25,14,8,15,13])).
% 1.70/1.79 cnf(154,plain,
% 1.70/1.79 (~P4(f7(a1,a1),f7(a1,a1),x1541)+P3(a1,x1541)),
% 1.70/1.79 inference(scs_inference,[],[4,2,6,122,53,110,59,77,57,35,43,22,26,19,25,14,8,15,13,21])).
% 1.70/1.79 cnf(156,plain,
% 1.70/1.79 (~P4(a4,a1,a2)),
% 1.70/1.79 inference(scs_inference,[],[4,2,6,122,53,110,59,77,140,57,33,35,43,41,22,26,19,25,14,8,15,13,21,29])).
% 1.70/1.79 cnf(159,plain,
% 1.70/1.79 (~P4(a1,a4,a2)),
% 1.70/1.79 inference(scs_inference,[],[4,2,6,122,53,110,59,77,140,57,33,35,43,41,22,26,19,25,14,8,15,13,21,29,23])).
% 1.70/1.79 cnf(167,plain,
% 1.70/1.79 (P4(a5,a4,a5)),
% 1.70/1.79 inference(scs_inference,[],[146,23])).
% 1.70/1.79 cnf(169,plain,
% 1.70/1.79 (P2(a5,a1,a5)),
% 1.70/1.79 inference(scs_inference,[],[124,146,23,22])).
% 1.70/1.79 cnf(171,plain,
% 1.70/1.79 (~P2(f6(a5),a1,a4)),
% 1.70/1.79 inference(scs_inference,[],[6,124,150,146,73,23,22,26])).
% 1.70/1.79 cnf(173,plain,
% 1.70/1.79 (P2(f7(a1,a1),a1,a1)),
% 1.70/1.79 inference(scs_inference,[],[6,124,150,146,152,73,33,41,23,22,26,29])).
% 1.70/1.79 cnf(175,plain,
% 1.70/1.79 (~P2(a1,a4,a1)),
% 1.70/1.79 inference(scs_inference,[],[6,124,150,146,152,73,35,33,41,23,22,26,29,25])).
% 1.70/1.79 cnf(178,plain,
% 1.70/1.79 (P2(a4,a4,f3(a4,a4))),
% 1.70/1.79 inference(scs_inference,[],[2,6,124,150,146,152,73,35,33,41,23,22,26,29,25,67,17])).
% 1.70/1.79 cnf(180,plain,
% 1.70/1.79 (P1(f8(a4))),
% 1.70/1.79 inference(scs_inference,[],[2,6,124,150,146,152,73,35,33,41,23,22,26,29,25,67,17,16])).
% 1.70/1.79 cnf(182,plain,
% 1.70/1.79 (P1(f7(a4,a4))),
% 1.70/1.79 inference(scs_inference,[],[2,6,124,150,146,152,73,35,33,41,23,22,26,29,25,67,17,16,11])).
% 1.70/1.79 cnf(184,plain,
% 1.70/1.79 (P4(a4,a4,f7(a4,a4))),
% 1.70/1.79 inference(scs_inference,[],[2,6,124,150,146,152,73,35,33,41,23,22,26,29,25,67,17,16,11,18])).
% 1.70/1.79 cnf(186,plain,
% 1.70/1.79 (P1(f3(a4,a4))),
% 1.70/1.79 inference(scs_inference,[],[2,6,124,150,146,152,73,35,33,41,23,22,26,29,25,67,17,16,11,18,10])).
% 1.70/1.79 cnf(188,plain,
% 1.70/1.79 (P4(f3(a4,a4),a5,a5)),
% 1.70/1.79 inference(scs_inference,[],[2,6,124,150,126,146,152,73,35,33,41,23,22,26,29,25,67,17,16,11,18,10,30])).
% 1.70/1.79 cnf(190,plain,
% 1.70/1.79 (P4(f3(a4,a4),a1,a1)),
% 1.70/1.79 inference(scs_inference,[],[2,6,124,150,126,146,152,73,35,33,41,23,22,26,29,25,67,17,16,11,18,10,30,128])).
% 1.70/1.79 cnf(205,plain,
% 1.70/1.79 (P4(f8(a4),a4,a4)),
% 1.70/1.79 inference(scs_inference,[],[2,175,20])).
% 1.70/1.79 cnf(207,plain,
% 1.70/1.79 (P2(a5,a5,f3(a5,a5))),
% 1.70/1.79 inference(scs_inference,[],[2,4,175,20,17])).
% 1.70/1.79 cnf(209,plain,
% 1.70/1.79 (P1(f7(a5,a5))),
% 1.70/1.79 inference(scs_inference,[],[2,4,175,20,17,11])).
% 1.70/1.79 cnf(211,plain,
% 1.70/1.79 (P4(a5,a5,f7(a5,a5))),
% 1.70/1.79 inference(scs_inference,[],[2,4,175,20,17,11,18])).
% 1.70/1.79 cnf(213,plain,
% 1.70/1.79 (P1(f3(a5,a5))),
% 1.70/1.79 inference(scs_inference,[],[2,4,175,20,17,11,18,10])).
% 1.70/1.79 cnf(215,plain,
% 1.70/1.79 (~P2(f3(a1,a1),f6(a1),a2)),
% 1.70/1.79 inference(scs_inference,[],[2,4,139,175,20,17,11,18,10,22])).
% 1.70/1.79 cnf(217,plain,
% 1.70/1.79 (P4(f7(a4,a4),a1,a1)),
% 1.70/1.79 inference(scs_inference,[],[2,4,33,139,184,175,20,17,11,18,10,22,28])).
% 1.70/1.79 cnf(219,plain,
% 1.70/1.79 (P2(f3(a1,a1),f3(a1,a1),f3(a1,a1))),
% 1.70/1.79 inference(scs_inference,[],[2,4,33,139,184,175,142,43,20,17,11,18,10,22,28,26])).
% 1.70/1.79 cnf(221,plain,
% 1.70/1.79 (P4(f3(a4,a4),a1,f3(a1,a1))),
% 1.70/1.79 inference(scs_inference,[],[2,4,33,139,184,178,175,142,43,20,17,11,18,10,22,28,26,30])).
% 1.70/1.79 cnf(223,plain,
% 1.70/1.79 (~P4(a4,a1,a4)),
% 1.70/1.79 inference(scs_inference,[],[2,4,33,139,190,184,178,175,142,43,20,17,11,18,10,22,28,26,30,29])).
% 1.70/1.79 cnf(225,plain,
% 1.70/1.79 (P4(f8(a4),a1,a1)),
% 1.70/1.79 inference(scs_inference,[],[2,4,33,139,190,184,178,175,142,43,20,17,11,18,10,22,28,26,30,29,27])).
% 1.70/1.79 cnf(227,plain,
% 1.70/1.79 (P2(a1,f3(a4,a4),f3(a4,a4))),
% 1.70/1.79 inference(scs_inference,[],[2,4,33,139,190,184,178,175,142,152,43,20,17,11,18,10,22,28,26,30,29,27,25])).
% 1.70/1.79 cnf(229,plain,
% 1.70/1.79 (~P4(a1,a4,a4)),
% 1.70/1.79 inference(scs_inference,[],[2,4,33,139,190,184,178,175,142,152,43,20,17,11,18,10,22,28,26,30,29,27,25,23])).
% 1.70/1.79 cnf(231,plain,
% 1.70/1.79 (P3(f3(a1,a1),a1)),
% 1.70/1.79 inference(scs_inference,[],[2,4,33,139,173,190,184,178,175,142,59,152,43,20,17,11,18,10,22,28,26,30,29,27,25,23,24])).
% 1.70/1.79 cnf(243,plain,
% 1.70/1.79 (P4(a1,a4,a1)),
% 1.70/1.79 inference(scs_inference,[],[33,23])).
% 1.70/1.79 cnf(247,plain,
% 1.70/1.79 (P2(f3(a4,a4),a1,f3(a4,a4))),
% 1.70/1.79 inference(scs_inference,[],[2,33,227,23,9,22])).
% 1.70/1.79 cnf(249,plain,
% 1.70/1.79 (P2(f3(a5,a5),a1,f3(a5,a5))),
% 1.70/1.79 inference(scs_inference,[],[2,33,227,207,169,23,9,22,26])).
% 1.70/1.79 cnf(251,plain,
% 1.70/1.79 (~P4(f8(a4),a1,a2)),
% 1.70/1.79 inference(scs_inference,[],[2,33,156,205,227,207,169,23,9,22,26,28])).
% 1.70/1.79 cnf(253,plain,
% 1.70/1.79 (P4(f3(a5,a5),a4,f3(a5,a5))),
% 1.70/1.79 inference(scs_inference,[],[2,33,156,205,227,207,169,167,23,9,22,26,28,30])).
% 1.70/1.79 cnf(255,plain,
% 1.70/1.79 (P2(f7(a5,a5),f7(a5,a5),f7(a5,a5))),
% 1.70/1.79 inference(scs_inference,[],[2,33,156,205,227,211,207,169,167,126,23,9,22,26,28,30,29])).
% 1.70/1.79 cnf(257,plain,
% 1.70/1.79 (~P4(a4,a1,f8(a4))),
% 1.70/1.79 inference(scs_inference,[],[2,33,156,205,227,211,207,169,223,167,126,23,9,22,26,28,30,29,27])).
% 1.70/1.79 cnf(259,plain,
% 1.70/1.79 (~P2(f3(a5,a5),a1,a4)),
% 1.70/1.79 inference(scs_inference,[],[2,33,103,156,205,227,211,207,169,223,167,126,73,23,9,22,26,28,30,29,27,25])).
% 1.70/1.79 cnf(275,plain,
% 1.70/1.79 (~P2(a1,f3(a1,a1),a4)),
% 1.70/1.79 inference(scs_inference,[],[144,251,23,22])).
% 1.70/1.79 cnf(277,plain,
% 1.70/1.79 (~P2(f3(a1,a1),f3(a1,a1),a4)),
% 1.70/1.79 inference(scs_inference,[],[144,251,219,122,23,22,26])).
% 1.70/1.79 cnf(279,plain,
% 1.70/1.79 (~P4(f8(a4),a1,f8(a4))),
% 1.70/1.79 inference(scs_inference,[],[33,144,251,257,219,122,205,23,22,26,28])).
% 1.70/1.79 cnf(281,plain,
% 1.70/1.79 (P4(f3(a1,a1),a4,f3(a1,a1))),
% 1.70/1.79 inference(scs_inference,[],[33,243,144,251,257,219,122,205,43,23,22,26,28,30])).
% 1.70/1.79 cnf(283,plain,
% 1.70/1.79 (~P4(f3(a4,a4),a1,a4)),
% 1.70/1.79 inference(scs_inference,[],[6,33,243,144,251,257,219,122,205,178,43,23,22,26,28,30,29])).
% 1.70/1.79 cnf(287,plain,
% 1.70/1.79 (~P2(a5,a4,a1)),
% 1.70/1.79 inference(scs_inference,[],[6,33,243,144,171,251,257,219,150,122,205,178,152,43,23,22,26,28,30,29,27,25])).
% 1.70/1.79 cnf(289,plain,
% 1.70/1.79 (P1(f6(a2))),
% 1.70/1.79 inference(scs_inference,[],[3,6,33,243,144,171,251,257,219,150,122,205,178,152,43,23,22,26,28,30,29,27,25,8])).
% 1.70/1.79 cnf(291,plain,
% 1.70/1.79 (P4(a4,a2,a2)),
% 1.70/1.79 inference(scs_inference,[],[3,6,33,243,144,171,251,257,219,150,122,205,178,152,43,23,22,26,28,30,29,27,25,8,14])).
% 1.70/1.79 cnf(293,plain,
% 1.70/1.79 (P2(a1,a2,a2)),
% 1.70/1.79 inference(scs_inference,[],[3,6,33,243,144,171,251,257,219,150,122,205,178,152,43,23,22,26,28,30,29,27,25,8,14,13])).
% 1.70/1.79 cnf(295,plain,
% 1.70/1.79 (P2(f6(a2),a2,a1)),
% 1.70/1.79 inference(scs_inference,[],[3,6,33,243,144,171,251,257,219,150,122,205,178,152,43,23,22,26,28,30,29,27,25,8,14,13,15])).
% 1.70/1.79 cnf(297,plain,
% 1.70/1.79 (P3(a2,a2)),
% 1.70/1.79 inference(scs_inference,[],[3,6,33,243,144,171,251,257,219,150,122,205,178,152,43,23,22,26,28,30,29,27,25,8,14,13,15,9])).
% 1.70/1.79 cnf(301,plain,
% 1.70/1.79 (P3(f3(a2,a2),f3(a2,a2))),
% 1.70/1.79 inference(scs_inference,[],[297,116])).
% 1.70/1.79 cnf(302,plain,
% 1.70/1.79 (P4(a4,f3(a5,a5),f3(a5,a5))),
% 1.70/1.79 inference(scs_inference,[],[253,23])).
% 1.70/1.79 cnf(304,plain,
% 1.70/1.79 (P2(a2,f6(a2),a1)),
% 1.70/1.79 inference(scs_inference,[],[253,295,23,22])).
% 1.70/1.79 cnf(306,plain,
% 1.70/1.79 (P4(f7(a5,a5),a4,f7(a5,a5))),
% 1.70/1.79 inference(scs_inference,[],[253,295,211,167,23,22,28])).
% 1.70/1.79 cnf(308,plain,
% 1.70/1.79 (~P2(f3(a1,a1),f7(a1,a1),a4)),
% 1.70/1.79 inference(scs_inference,[],[253,247,295,283,221,211,167,41,23,22,28,30])).
% 1.70/1.79 cnf(310,plain,
% 1.70/1.79 (~P4(f3(a1,a1),a4,a4)),
% 1.70/1.79 inference(scs_inference,[],[253,247,295,281,275,283,221,211,142,243,167,41,23,22,28,30,29])).
% 1.70/1.79 cnf(312,plain,
% 1.70/1.79 (P4(f3(a4,a4),f7(a5,a5),f7(a5,a5))),
% 1.70/1.79 inference(scs_inference,[],[253,247,295,281,275,283,188,221,211,142,243,167,41,23,22,28,30,29,27])).
% 1.70/1.79 cnf(314,plain,
% 1.70/1.79 (~P2(f6(a2),a2,a5)),
% 1.70/1.79 inference(scs_inference,[],[31,253,247,295,281,275,283,188,293,221,211,142,243,167,41,23,22,28,30,29,27,25])).
% 1.70/1.79 cnf(320,plain,
% 1.70/1.79 (~P4(a1,f8(a4),f8(a4))),
% 1.70/1.79 inference(scs_inference,[],[279,23])).
% 1.70/1.79 cnf(322,plain,
% 1.70/1.79 (~P2(a1,f3(a5,a5),a4)),
% 1.70/1.79 inference(scs_inference,[],[259,279,23,22])).
% 1.70/1.79 cnf(326,plain,
% 1.70/1.79 (P4(f7(a4,a4),f3(a5,a5),f3(a5,a5))),
% 1.70/1.79 inference(scs_inference,[],[259,302,279,314,184,169,295,23,22,26,28])).
% 1.70/1.79 cnf(328,plain,
% 1.70/1.79 (P2(a1,f3(a2,a2),f3(a2,a2))),
% 1.70/1.79 inference(scs_inference,[],[259,301,302,279,314,184,169,295,23,22,26,28,19])).
% 1.70/1.79 cnf(330,plain,
% 1.70/1.79 (P2(f7(a1,a1),f3(a1,a1),f3(a1,a1))),
% 1.70/1.79 inference(scs_inference,[],[259,301,302,279,314,184,169,227,295,221,41,23,22,26,28,19,29])).
% 1.70/1.79 cnf(334,plain,
% 1.70/1.79 (P2(f6(a1),a2,a2)),
% 1.70/1.79 inference(scs_inference,[],[37,259,301,302,279,314,293,184,169,227,295,221,205,41,23,22,26,28,19,29,27,25])).
% 1.70/1.79 cnf(336,plain,
% 1.70/1.79 (P2(f3(a1,a1),f3(a1,a1),f3(f3(a1,a1),f3(a1,a1)))),
% 1.70/1.79 inference(scs_inference,[],[37,259,47,301,302,279,314,293,184,169,227,295,221,205,41,23,22,26,28,19,29,27,25,17])).
% 1.70/1.79 cnf(344,plain,
% 1.70/1.79 (~P2(f3(a4,a4),f3(a4,a4),x3441)+P4(x3441,f7(a5,a5),f7(a5,a5))),
% 1.70/1.79 inference(scs_inference,[],[37,259,255,312,47,301,302,279,314,293,184,169,227,295,221,205,41,23,22,26,28,19,29,27,25,17,11,18,10,30])).
% 1.70/1.79 cnf(348,plain,
% 1.70/1.79 (P2(f7(a2,a2),f7(a2,a2),f3(f7(a2,a2),f7(a2,a2)))),
% 1.70/1.79 inference(scs_inference,[],[81,17])).
% 1.70/1.79 cnf(352,plain,
% 1.70/1.79 (P4(a1,f8(a4),a1)),
% 1.70/1.79 inference(scs_inference,[],[225,81,17,11,23])).
% 1.70/1.79 cnf(360,plain,
% 1.70/1.79 (~P2(f7(a1,a1),f3(f3(a1,a1),f3(a1,a1)),a4)),
% 1.70/1.79 inference(scs_inference,[],[37,330,336,277,225,81,17,11,23,18,10,22,26])).
% 1.70/1.79 cnf(362,plain,
% 1.70/1.79 (~P4(a1,f7(a4,a4),a2)),
% 1.70/1.79 inference(scs_inference,[],[37,159,330,336,277,225,81,184,243,17,11,23,18,10,22,26,28])).
% 1.70/1.79 cnf(364,plain,
% 1.70/1.79 (~P4(a1,a1,a4)),
% 1.70/1.79 inference(scs_inference,[],[37,159,330,336,277,225,81,190,247,184,175,243,17,11,23,18,10,22,26,28,29])).
% 1.70/1.79 cnf(366,plain,
% 1.70/1.79 (P4(f7(a5,a5),f7(a4,a4),f7(a5,a5))),
% 1.70/1.79 inference(scs_inference,[],[37,159,330,336,277,225,306,81,190,247,184,175,243,17,11,23,18,10,22,26,28,29,27])).
% 1.70/1.79 cnf(368,plain,
% 1.70/1.79 (P2(f6(a1),f3(a2,a2),f3(a2,a2))),
% 1.70/1.79 inference(scs_inference,[],[37,159,330,336,277,225,306,81,328,190,247,184,175,243,17,11,23,18,10,22,26,28,29,27,25])).
% 1.70/1.79 cnf(384,plain,
% 1.70/1.79 (~P4(f3(a1,a1),f7(a4,a4),a4)),
% 1.70/1.79 inference(scs_inference,[],[287,362,310,281,184,23,22,28])).
% 1.70/1.79 cnf(386,plain,
% 1.70/1.79 (P4(f3(a2,a2),a2,f3(f7(a2,a2),f7(a2,a2)))),
% 1.70/1.79 inference(scs_inference,[],[348,287,362,310,281,75,79,184,23,22,28,30])).
% 1.70/1.79 cnf(388,plain,
% 1.70/1.79 (~P4(a1,f8(a4),a4)),
% 1.70/1.79 inference(scs_inference,[],[35,348,287,362,310,352,281,75,79,175,184,23,22,28,30,29])).
% 1.70/1.79 cnf(390,plain,
% 1.70/1.79 (~P2(a2,f6(a2),a4)),
% 1.70/1.79 inference(scs_inference,[],[35,348,287,362,310,304,334,352,281,53,75,79,175,184,23,22,28,30,29,25])).
% 1.70/1.79 cnf(396,plain,
% 1.70/1.79 (P4(a4,f6(a1),f6(a1))),
% 1.70/1.79 inference(scs_inference,[],[39,35,348,83,287,362,310,304,334,352,281,53,75,79,175,184,23,22,28,30,29,25,8,20,14])).
% 1.70/1.79 cnf(398,plain,
% 1.70/1.79 (P2(a1,f6(a1),f6(a1))),
% 1.70/1.79 inference(scs_inference,[],[39,35,348,83,287,362,310,304,334,352,281,53,75,79,175,184,23,22,28,30,29,25,8,20,14,13])).
% 1.70/1.79 cnf(400,plain,
% 1.70/1.79 (P2(f6(f6(a1)),f6(a1),a1)),
% 1.70/1.79 inference(scs_inference,[],[39,35,348,83,287,362,310,304,334,352,281,53,75,79,175,184,23,22,28,30,29,25,8,20,14,13,15])).
% 1.70/1.79 cnf(404,plain,
% 1.70/1.79 (~P2(f6(a1),f6(a1),a5)),
% 1.70/1.79 inference(scs_inference,[],[39,35,348,83,287,362,310,304,334,352,281,53,75,7,112,79,175,207,184,23,22,28,30,29,25,8,20,14,13,15,24,26])).
% 1.70/1.79 cnf(406,plain,
% 1.70/1.79 (P2(a1,f3(a5,a5),f3(a5,a5))),
% 1.70/1.79 inference(scs_inference,[],[39,35,348,83,287,362,310,304,334,352,281,53,75,7,112,79,175,207,184,23,22,28,30,29,25,8,20,14,13,15,24,26,19])).
% 1.70/1.79 cnf(412,plain,
% 1.70/1.79 (P2(f3(a2,a2),f6(a1),f3(a2,a2))),
% 1.70/1.79 inference(scs_inference,[],[366,368,23,22])).
% 1.70/1.79 cnf(414,plain,
% 1.70/1.79 (~P2(f6(a1),a4,f6(a1))),
% 1.70/1.79 inference(scs_inference,[],[366,368,400,175,23,22,26])).
% 1.70/1.79 cnf(418,plain,
% 1.70/1.79 (P4(f3(a4,a4),a2,f3(a2,a2))),
% 1.70/1.79 inference(scs_inference,[],[366,368,400,291,75,352,221,175,178,23,22,26,28,30])).
% 1.70/1.79 cnf(420,plain,
% 1.70/1.79 (P4(a4,f7(a2,a2),f7(a2,a2))),
% 1.70/1.79 inference(scs_inference,[],[366,368,400,291,75,352,221,79,175,178,23,22,26,28,30,27])).
% 1.70/1.79 cnf(424,plain,
% 1.70/1.79 (~P2(a1,a4,f3(f3(a1,a1),f3(a1,a1)))),
% 1.70/1.79 inference(scs_inference,[],[366,368,360,400,396,404,291,173,75,352,221,79,175,152,178,23,22,26,28,30,27,29,25])).
% 1.70/1.79 cnf(431,plain,
% 1.70/1.79 (~P2(f7(a1,a1),f3(a1,a1),a4)),
% 1.70/1.79 inference(scs_inference,[],[388,308,23,22])).
% 1.70/1.79 cnf(433,plain,
% 1.70/1.79 (~P2(f6(a1),a4,f3(f3(a1,a1),f3(a1,a1)))),
% 1.70/1.79 inference(scs_inference,[],[37,388,308,424,152,23,22,26])).
% 1.70/1.79 cnf(439,plain,
% 1.70/1.79 (P4(f8(a4),f7(a2,a2),f7(a2,a2))),
% 1.70/1.79 inference(scs_inference,[],[37,41,388,308,420,424,283,247,190,205,184,152,23,22,26,28,30,27])).
% 1.70/1.79 cnf(441,plain,
% 1.70/1.79 (~P2(a5,f8(a4),a1)),
% 1.70/1.79 inference(scs_inference,[],[37,41,388,308,420,424,283,287,247,190,167,205,184,243,152,23,22,26,28,30,27,29])).
% 1.70/1.80 cnf(443,plain,
% 1.70/1.80 (P2(f6(a1),f3(a5,a5),f3(a5,a5))),
% 1.70/1.80 inference(scs_inference,[],[37,41,406,388,308,420,424,283,287,247,190,167,205,184,243,152,23,22,26,28,30,27,29,25])).
% 1.70/1.80 cnf(445,plain,
% 1.70/1.80 (P4(a1,f7(a4,a4),a1)),
% 1.70/1.80 inference(scs_inference,[],[217,23])).
% 1.70/1.80 cnf(447,plain,
% 1.70/1.80 (P2(f6(a1),a1,f6(a1))),
% 1.70/1.80 inference(scs_inference,[],[398,217,23,22])).
% 1.70/1.80 cnf(451,plain,
% 1.70/1.80 (~P4(a1,f7(a4,a4),a4)),
% 1.70/1.80 inference(scs_inference,[],[37,398,217,229,55,124,184,243,23,22,26,28])).
% 1.70/1.80 cnf(453,plain,
% 1.70/1.80 (P4(f3(a4,a4),f7(a2,a2),f3(f7(a2,a2),f7(a2,a2)))),
% 1.70/1.80 inference(scs_inference,[],[37,398,217,229,418,386,55,124,184,79,243,23,22,26,28,27])).
% 1.70/1.80 cnf(455,plain,
% 1.70/1.80 (~P2(a1,f8(a4),a1)),
% 1.70/1.80 inference(scs_inference,[],[37,398,217,229,418,386,55,124,205,184,79,243,152,23,22,26,28,27,30])).
% 1.70/1.80 cnf(457,plain,
% 1.70/1.80 (~P2(a1,f6(a1),a5)),
% 1.70/1.80 inference(scs_inference,[],[37,398,217,229,418,386,55,404,124,205,184,79,243,152,23,22,26,28,27,30,25])).
% 1.70/1.80 cnf(459,plain,
% 1.70/1.80 (~P4(a1,a2,a5)),
% 1.70/1.80 inference(scs_inference,[],[37,398,217,229,418,386,55,404,124,291,7,205,184,79,243,152,23,22,26,28,27,30,25,29])).
% 1.70/1.80 cnf(461,plain,
% 1.70/1.80 (~P4(a4,f7(a1,a1),a4)),
% 1.70/1.80 inference(scs_inference,[],[37,398,217,229,418,386,364,55,404,124,291,7,205,184,79,243,152,23,22,26,28,27,30,25,29,49])).
% 1.70/1.80 cnf(463,plain,
% 1.70/1.80 (P4(f8(f8(a4)),f8(a4),a4)),
% 1.70/1.80 inference(scs_inference,[],[37,398,217,229,418,386,180,364,55,404,124,291,7,205,184,79,243,152,23,22,26,28,27,30,25,29,49,20])).
% 1.70/1.80 cnf(465,plain,
% 1.70/1.80 (P2(f6(a1),f6(a1),f3(f6(a1),f6(a1)))),
% 1.70/1.80 inference(scs_inference,[],[39,37,398,217,229,418,386,180,364,55,404,124,291,7,205,184,79,243,152,23,22,26,28,27,30,25,29,49,20,17])).
% 1.70/1.80 cnf(495,plain,
% 1.70/1.80 (P2(f3(a5,a5),f3(a5,a5),f3(f3(a5,a5),f3(a5,a5)))),
% 1.70/1.80 inference(scs_inference,[],[213,455,180,16,17])).
% 1.70/1.80 cnf(503,plain,
% 1.70/1.80 (~P4(f7(a1,a1),a4,a4)),
% 1.70/1.80 inference(scs_inference,[],[461,213,455,180,16,17,11,10,18,23])).
% 1.70/1.80 cnf(507,plain,
% 1.70/1.80 (P3(f3(f3(a1,a1),f3(a1,a1)),f3(a1,a1))),
% 1.70/1.80 inference(scs_inference,[],[461,433,213,455,336,231,180,142,16,17,11,10,18,23,22,24])).
% 1.70/1.80 cnf(509,plain,
% 1.70/1.80 (P2(f3(f6(a1),f6(a1)),a1,a1)),
% 1.70/1.80 inference(scs_inference,[],[37,461,433,213,465,455,336,231,180,142,16,17,11,10,18,23,22,24,26])).
% 1.70/1.80 cnf(511,plain,
% 1.70/1.80 (~P4(f8(a4),f7(a1,a1),f8(a4))),
% 1.70/1.80 inference(scs_inference,[],[37,461,433,213,465,463,455,336,231,180,142,16,17,11,10,18,23,22,24,26,28])).
% 1.70/1.80 cnf(513,plain,
% 1.70/1.80 (P4(f3(a1,a1),f7(a4,a4),f3(a1,a1))),
% 1.70/1.80 inference(scs_inference,[],[43,37,461,433,213,465,463,445,455,336,231,180,142,16,17,11,10,18,23,22,24,26,28,30])).
% 1.70/1.80 cnf(515,plain,
% 1.70/1.80 (~P4(f7(a1,a1),f7(a4,a4),a4)),
% 1.70/1.80 inference(scs_inference,[],[43,37,41,461,433,213,465,463,445,455,336,364,231,180,142,16,17,11,10,18,23,22,24,26,28,30,27])).
% 1.70/1.80 cnf(517,plain,
% 1.70/1.80 (~P2(a1,a4,f3(a5,a5))),
% 1.70/1.80 inference(scs_inference,[],[35,43,37,41,461,433,213,322,465,463,445,455,336,364,231,180,142,152,16,17,11,10,18,23,22,24,26,28,30,27,25])).
% 1.70/1.80 cnf(523,plain,
% 1.70/1.80 (P4(a4,f6(a5),f6(a5))),
% 1.70/1.80 inference(scs_inference,[],[35,43,37,41,461,433,213,322,465,148,463,445,455,336,364,231,180,142,152,16,17,11,10,18,23,22,24,26,28,30,27,25,12,8,14])).
% 1.70/1.80 cnf(525,plain,
% 1.70/1.80 (P2(a1,f6(a5),f6(a5))),
% 1.70/1.80 inference(scs_inference,[],[35,43,37,41,461,433,213,322,465,148,463,445,455,336,364,231,180,142,152,16,17,11,10,18,23,22,24,26,28,30,27,25,12,8,14,13])).
% 1.70/1.80 cnf(527,plain,
% 1.70/1.80 (P2(f6(f3(a5,a5)),f3(a5,a5),a1)),
% 1.70/1.80 inference(scs_inference,[],[35,43,37,41,461,433,213,322,465,148,463,445,455,336,364,231,180,142,152,16,17,11,10,18,23,22,24,26,28,30,27,25,12,8,14,13,15])).
% 1.70/1.80 cnf(538,plain,
% 1.70/1.80 (P2(f3(a5,a5),f6(a1),f3(a5,a5))),
% 1.70/1.80 inference(scs_inference,[],[513,443,23,22])).
% 1.70/1.80 cnf(542,plain,
% 1.70/1.80 (P4(f7(a1,a1),f7(a4,a4),f7(a1,a1))),
% 1.70/1.80 inference(scs_inference,[],[41,513,443,412,447,445,23,22,26,28])).
% 1.70/1.80 cnf(544,plain,
% 1.70/1.80 (~P2(f7(a1,a1),f7(a1,a1),a4)),
% 1.70/1.80 inference(scs_inference,[],[35,41,513,443,412,447,364,445,23,22,26,28,30])).
% 1.70/1.80 cnf(546,plain,
% 1.70/1.80 (P4(f8(a4),f7(a1,a1),f7(a1,a1))),
% 1.70/1.80 inference(scs_inference,[],[35,41,513,443,412,447,225,364,445,23,22,26,28,30,27])).
% 1.70/1.80 cnf(567,plain,
% 1.70/1.80 (P3(f3(a1,a1),f7(a1,a1))),
% 1.70/1.80 inference(scs_inference,[],[231,59,12])).
% 1.70/1.80 cnf(571,plain,
% 1.70/1.80 (~P2(a4,f6(a1),f6(a1))),
% 1.70/1.80 inference(scs_inference,[],[414,511,231,59,12,23,22])).
% 1.70/1.80 cnf(579,plain,
% 1.70/1.80 (P4(f7(a4,a4),f6(a5),f6(a5))),
% 1.70/1.80 inference(scs_inference,[],[37,414,511,523,525,517,231,59,32,205,184,152,12,23,22,24,26,27,28])).
% 1.70/1.80 cnf(581,plain,
% 1.70/1.80 (~P4(f3(a1,a1),a1,a4)),
% 1.70/1.80 inference(scs_inference,[],[37,43,41,414,511,544,523,525,517,231,59,32,205,184,152,12,23,22,24,26,27,28,29])).
% 1.70/1.80 cnf(583,plain,
% 1.70/1.80 (P4(f3(a4,a4),f3(a5,a5),f3(f3(a5,a5),f3(a5,a5)))),
% 1.70/1.80 inference(scs_inference,[],[37,43,41,495,414,511,544,523,525,517,302,231,59,32,205,184,178,152,12,23,22,24,26,27,28,29,30])).
% 1.70/1.80 cnf(585,plain,
% 1.70/1.80 (P2(f6(a1),f6(a5),f6(a5))),
% 1.70/1.80 inference(scs_inference,[],[37,43,41,495,414,511,544,523,525,517,302,231,59,32,205,184,178,152,12,23,22,24,26,27,28,29,30,25])).
% 1.70/1.80 cnf(591,plain,
% 1.70/1.80 (P3(f7(a1,a1),f7(a1,a1))),
% 1.70/1.80 inference(scs_inference,[],[45,37,43,41,495,414,511,544,523,525,517,302,231,59,32,205,184,178,152,12,23,22,24,26,27,28,29,30,25,19,20,9])).
% 1.70/1.80 cnf(593,plain,
% 1.70/1.80 (P3(f3(f3(a1,a1),f3(a1,a1)),f7(a1,a1))),
% 1.70/1.80 inference(scs_inference,[],[567,507,12])).
% 1.70/1.80 cnf(597,plain,
% 1.70/1.80 (P2(f3(a5,a5),f6(f3(a5,a5)),a1)),
% 1.70/1.80 inference(scs_inference,[],[567,583,527,507,12,23,22])).
% 1.70/1.80 cnf(599,plain,
% 1.70/1.80 (~P2(f6(f3(a5,a5)),f3(a5,a5),a5)),
% 1.70/1.80 inference(scs_inference,[],[567,583,538,527,457,507,12,23,22,26])).
% 1.70/1.80 cnf(601,plain,
% 1.70/1.80 (P4(f8(f8(a4)),a1,a1)),
% 1.70/1.80 inference(scs_inference,[],[33,567,583,538,527,457,507,225,463,12,23,22,26,27])).
% 1.70/1.80 cnf(603,plain,
% 1.70/1.80 (~P4(a1,f6(a1),a4)),
% 1.70/1.80 inference(scs_inference,[],[33,567,583,538,527,571,457,507,396,225,463,152,12,23,22,26,27,29])).
% 1.70/1.80 cnf(605,plain,
% 1.70/1.80 (P2(a1,f7(a1,a1),f7(a1,a1))),
% 1.70/1.80 inference(scs_inference,[],[33,591,567,583,538,527,571,457,507,396,225,463,152,12,23,22,26,27,29,19])).
% 1.70/1.80 cnf(607,plain,
% 1.70/1.80 (~P4(f3(a4,a4),f7(a1,a1),a4)),
% 1.70/1.80 inference(scs_inference,[],[33,41,591,567,583,581,538,527,571,457,507,396,225,463,221,152,12,23,22,26,27,29,19,28])).
% 1.70/1.80 cnf(609,plain,
% 1.70/1.80 (~P2(f7(a1,a1),a1,a4)),
% 1.70/1.80 inference(scs_inference,[],[33,41,591,567,583,581,538,527,571,457,507,396,223,225,463,221,152,12,23,22,26,27,29,19,28,30])).
% 1.70/1.80 cnf(611,plain,
% 1.70/1.80 (~P2(a1,a1,a5)),
% 1.70/1.80 inference(scs_inference,[],[33,41,591,249,567,583,581,538,527,571,457,507,396,223,225,463,221,152,12,23,22,26,27,29,19,28,30,25])).
% 1.70/1.80 cnf(618,plain,
% 1.70/1.80 (~P2(f8(a4),a5,a1)),
% 1.70/1.80 inference(scs_inference,[],[441,515,23,22])).
% 1.70/1.80 cnf(620,plain,
% 1.70/1.80 (P2(f3(f6(a1),f6(a1)),f6(a5),f6(a5))),
% 1.70/1.80 inference(scs_inference,[],[441,515,585,465,23,22,26])).
% 1.70/1.80 cnf(622,plain,
% 1.70/1.80 (P2(a1,f7(a4,a4),f7(a4,a4))),
% 1.70/1.80 inference(scs_inference,[],[441,515,585,465,184,243,152,23,22,26,29])).
% 1.70/1.80 cnf(624,plain,
% 1.70/1.80 (~P4(f7(a1,a1),f7(a4,a4),f8(a4))),
% 1.70/1.80 inference(scs_inference,[],[542,546,441,515,585,465,511,184,243,152,23,22,26,29,27])).
% 1.70/1.80 cnf(632,plain,
% 1.70/1.80 (P2(a1,f7(a5,a5),f7(a5,a5))),
% 1.70/1.80 inference(scs_inference,[],[45,542,320,546,441,515,597,209,585,601,259,465,511,352,184,243,152,23,22,26,29,27,28,25,8,13])).
% 1.70/1.80 cnf(634,plain,
% 1.70/1.80 (P4(a4,f3(a1,a1),f3(a1,a1))),
% 1.70/1.80 inference(scs_inference,[],[45,47,542,320,546,441,515,597,209,585,601,259,465,511,352,184,243,152,23,22,26,29,27,28,25,8,13,14])).
% 1.70/1.80 cnf(636,plain,
% 1.70/1.80 (P2(f6(f7(a1,a1)),f7(a1,a1),a1)),
% 1.70/1.80 inference(scs_inference,[],[45,47,542,320,546,441,515,597,209,585,601,259,465,511,352,184,243,152,23,22,26,29,27,28,25,8,13,14,15])).
% 1.70/1.80 cnf(638,plain,
% 1.70/1.80 (P2(f7(a1,a1),f7(a1,a1),f3(f7(a1,a1),f7(a1,a1)))),
% 1.70/1.80 inference(scs_inference,[],[45,47,542,320,546,441,515,597,209,585,601,259,465,511,352,184,243,152,23,22,26,29,27,28,25,8,13,14,15,17])).
% 1.70/1.80 cnf(644,plain,
% 1.70/1.80 (P4(f7(a1,a1),f7(a1,a1),f7(f7(a1,a1),f7(a1,a1)))),
% 1.70/1.80 inference(scs_inference,[],[45,47,542,320,546,441,515,597,209,585,601,259,465,511,352,184,243,152,23,22,26,29,27,28,25,8,13,14,15,17,11,10,18])).
% 1.70/1.80 cnf(668,plain,
% 1.70/1.80 (P2(a1,f3(f6(a1),f6(a1)),a1)),
% 1.70/1.80 inference(scs_inference,[],[644,453,509,289,154,17,11,18,10,23,22])).
% 1.70/1.80 cnf(670,plain,
% 1.70/1.80 (~P2(f7(a1,a1),f8(a4),f7(a1,a1))),
% 1.70/1.80 inference(scs_inference,[],[644,453,509,636,289,455,154,17,11,18,10,23,22,26])).
% 1.70/1.80 cnf(674,plain,
% 1.70/1.80 (~P4(a1,a1,f8(a4))),
% 1.70/1.80 inference(scs_inference,[],[35,41,644,453,509,636,622,289,455,32,154,17,11,18,10,23,22,26,24,29])).
% 1.70/1.80 cnf(676,plain,
% 1.70/1.80 (P4(f8(f8(a4)),f7(a1,a1),f7(a1,a1))),
% 1.70/1.80 inference(scs_inference,[],[35,41,644,453,509,636,622,289,455,601,32,154,17,11,18,10,23,22,26,24,29,27])).
% 1.70/1.80 cnf(678,plain,
% 1.70/1.80 (P4(f3(a4,a4),f3(a1,a1),f3(f3(a1,a1),f3(a1,a1)))),
% 1.70/1.80 inference(scs_inference,[],[35,41,644,453,509,636,622,634,289,336,455,601,32,178,154,17,11,18,10,23,22,26,24,29,27,30])).
% 1.70/1.80 cnf(682,plain,
% 1.70/1.80 (~P4(a4,f7(a1,a1),f8(a4))),
% 1.70/1.80 inference(scs_inference,[],[35,41,644,453,509,636,622,634,289,390,304,336,455,601,32,178,152,154,17,11,18,10,23,22,26,24,29,27,30,25,49])).
% 1.70/1.80 cnf(690,plain,
% 1.70/1.80 (~P2(f8(a4),f7(a1,a1),f7(a1,a1))),
% 1.70/1.80 inference(scs_inference,[],[670,624,23,22])).
% 1.70/1.80 cnf(698,plain,
% 1.70/1.80 (P4(f8(a4),f3(a1,a1),f3(a1,a1))),
% 1.70/1.80 inference(scs_inference,[],[37,43,41,676,670,624,503,668,611,71,634,205,23,22,26,28,29,27])).
% 1.70/1.80 cnf(700,plain,
% 1.70/1.80 (P2(f6(a1),f7(a5,a5),f7(a5,a5))),
% 1.70/1.80 inference(scs_inference,[],[37,43,41,676,670,624,632,503,668,611,71,634,205,23,22,26,28,29,27,25])).
% 1.70/1.80 cnf(709,plain,
% 1.70/1.80 (P4(f3(a1,a1),f3(a4,a4),f3(f3(a1,a1),f3(a1,a1)))),
% 1.70/1.80 inference(scs_inference,[],[678,23])).
% 1.70/1.80 cnf(715,plain,
% 1.70/1.80 (P4(f7(a4,a4),a5,a5)),
% 1.70/1.80 inference(scs_inference,[],[37,678,700,618,150,146,184,23,22,26,28])).
% 1.70/1.80 cnf(721,plain,
% 1.70/1.80 (P2(f6(a1),f7(a1,a1),f7(a1,a1))),
% 1.70/1.80 inference(scs_inference,[],[37,41,678,700,609,618,605,253,217,622,150,146,184,23,22,26,28,27,29,25])).
% 1.70/1.80 cnf(723,plain,
% 1.70/1.80 (~P2(f7(a1,a1),f7(a1,a1),f8(a4))),
% 1.70/1.80 inference(scs_inference,[],[37,41,678,700,674,609,618,605,253,217,622,150,146,184,35,23,22,26,28,27,29,25,30])).
% 1.70/1.80 cnf(733,plain,
% 1.70/1.80 (~P2(f3(a5,a5),f6(f3(a5,a5)),a5)),
% 1.70/1.80 inference(scs_inference,[],[603,599,23,22])).
% 1.70/1.80 cnf(735,plain,
% 1.70/1.80 (P2(f3(f6(a1),f6(a1)),f7(a1,a1),f7(a1,a1))),
% 1.70/1.80 inference(scs_inference,[],[603,721,599,465,23,22,26])).
% 1.70/1.80 cnf(737,plain,
% 1.70/1.80 (~P4(a1,f7(a1,a1),f8(a4))),
% 1.70/1.80 inference(scs_inference,[],[51,603,690,721,599,465,152,23,22,26,29])).
% 1.70/1.80 cnf(743,plain,
% 1.70/1.80 (~P2(a1,f8(f8(a4)),a1)),
% 1.70/1.80 inference(scs_inference,[],[51,709,603,690,721,599,581,388,465,463,601,190,352,152,23,22,26,29,28,27,30])).
% 1.70/1.80 cnf(745,plain,
% 1.70/1.80 (~P2(f3(a1,a1),f3(a5,a5),a4)),
% 1.70/1.80 inference(scs_inference,[],[51,43,709,603,690,721,599,581,322,388,406,465,463,601,190,352,152,23,22,26,29,28,27,30,25])).
% 1.70/1.80 cnf(749,plain,
% 1.70/1.80 (P2(a1,f8(a4),f8(a4))),
% 1.70/1.80 inference(scs_inference,[],[51,47,43,709,603,690,721,599,581,322,388,406,465,463,180,601,190,352,152,23,22,26,29,28,27,30,25,8,13])).
% 1.70/1.80 cnf(751,plain,
% 1.70/1.80 (P4(a4,f3(a2,a2),f3(a2,a2))),
% 1.70/1.80 inference(scs_inference,[],[51,47,43,709,603,690,721,599,581,322,388,406,83,465,463,180,601,190,352,152,23,22,26,29,28,27,30,25,8,13,14])).
% 1.70/1.80 cnf(753,plain,
% 1.70/1.80 (P2(f6(f3(a1,a1)),f3(a1,a1),a1)),
% 1.70/1.80 inference(scs_inference,[],[51,47,43,709,603,690,721,599,581,322,388,406,83,465,463,180,601,190,352,152,23,22,26,29,28,27,30,25,8,13,14,15])).
% 1.70/1.80 cnf(763,plain,
% 1.70/1.80 (P4(f6(a5),f7(a4,a4),f6(a5))),
% 1.70/1.80 inference(scs_inference,[],[579,23])).
% 1.70/1.80 cnf(765,plain,
% 1.70/1.80 (P2(f7(a1,a1),f3(f6(a1),f6(a1)),f7(a1,a1))),
% 1.70/1.80 inference(scs_inference,[],[735,579,23,22])).
% 1.70/1.80 cnf(773,plain,
% 1.70/1.80 (~P2(a1,f8(a4),f7(a1,a1))),
% 1.70/1.80 inference(scs_inference,[],[43,41,735,579,723,737,749,690,668,542,173,23,22,26,27,29,25])).
% 1.70/1.80 cnf(775,plain,
% 1.70/1.80 (P4(f3(a4,a4),f7(a1,a1),f3(f7(a1,a1),f7(a1,a1)))),
% 1.70/1.80 inference(scs_inference,[],[51,43,41,638,735,579,723,737,749,690,668,542,173,178,23,22,26,27,29,25,30])).
% 1.70/1.80 cnf(777,plain,
% 1.70/1.80 (P2(f3(a4,a4),f3(a4,a4),f3(f3(a4,a4),f3(a4,a4)))),
% 1.70/1.80 inference(scs_inference,[],[51,43,41,638,735,579,723,737,749,690,668,542,186,173,178,23,22,26,27,29,25,30,17])).
% 1.70/1.80 cnf(783,plain,
% 1.70/1.80 (P4(f3(a4,a4),f3(a4,a4),f7(f3(a4,a4),f3(a4,a4)))),
% 1.70/1.80 inference(scs_inference,[],[51,43,41,638,735,579,723,737,749,690,668,542,186,593,173,178,23,22,26,27,29,25,30,17,11,12,18])).
% 1.70/1.80 cnf(795,plain,
% 1.70/1.80 (P4(f3(f3(a4,a4),f3(a4,a4)),f7(a5,a5),f7(a5,a5))),
% 1.70/1.80 inference(scs_inference,[],[777,344])).
% 1.70/1.80 cnf(797,plain,
% 1.70/1.80 (P2(f7(a4,a4),f7(a4,a4),f3(f7(a4,a4),f7(a4,a4)))),
% 1.70/1.80 inference(scs_inference,[],[777,182,344,17])).
% 1.70/1.80 cnf(801,plain,
% 1.70/1.80 (P4(f7(a4,a4),f7(a4,a4),f7(f7(a4,a4),f7(a4,a4)))),
% 1.70/1.80 inference(scs_inference,[],[777,182,344,17,11,18])).
% 1.70/1.80 cnf(814,plain,
% 1.70/1.80 (P4(f8(a4),f3(a2,a2),f3(a2,a2))),
% 1.70/1.80 inference(scs_inference,[],[41,777,682,745,751,674,182,77,247,601,205,344,17,11,18,10,23,22,26,28,27])).
% 1.70/1.80 cnf(816,plain,
% 1.70/1.80 (~P4(f3(f6(a1),f6(a1)),a4,f8(a4))),
% 1.70/1.80 inference(scs_inference,[],[41,777,765,682,745,751,674,182,670,71,77,247,601,205,344,17,11,18,10,23,22,26,28,27,29])).
% 1.70/1.80 cnf(818,plain,
% 1.70/1.80 (P2(f3(f6(a1),f6(a1)),f3(a1,a1),f3(a1,a1))),
% 1.70/1.80 inference(scs_inference,[],[41,43,777,765,682,745,751,674,509,182,670,71,77,247,601,205,344,17,11,18,10,23,22,26,28,27,29,25])).
% 1.70/1.80 cnf(829,plain,
% 1.70/1.80 (P2(f3(a1,a1),f6(f3(a1,a1)),a1)),
% 1.70/1.80 inference(scs_inference,[],[795,753,23,22])).
% 1.70/1.80 cnf(833,plain,
% 1.70/1.80 (~P4(a1,f7(f7(a4,a4),f7(a4,a4)),a4)),
% 1.70/1.80 inference(scs_inference,[],[55,801,795,451,753,509,124,445,23,22,26,28])).
% 1.70/1.80 cnf(837,plain,
% 1.70/1.80 (~P2(f3(a1,a1),f8(a4),f7(a1,a1))),
% 1.70/1.80 inference(scs_inference,[],[55,43,801,763,795,451,753,773,749,509,124,445,23,22,26,28,27,25])).
% 1.70/1.80 cnf(853,plain,
% 1.70/1.80 (P2(f3(a1,a1),f6(f3(a1,a1)),f3(a1,a1))),
% 1.70/1.80 inference(scs_inference,[],[43,607,837,829,142,23,22,26])).
% 1.70/1.80 cnf(859,plain,
% 1.70/1.80 (~P4(f3(f7(a1,a1),f7(a1,a1)),f7(a4,a4),a4)),
% 1.70/1.80 inference(scs_inference,[],[43,775,607,837,829,833,723,542,142,463,601,41,23,22,26,29,28,27])).
% 1.70/1.80 cnf(865,plain,
% 1.70/1.80 (P2(a1,f6(a2),f6(a2))),
% 1.70/1.80 inference(scs_inference,[],[43,55,775,607,837,829,833,723,542,148,124,142,289,463,601,41,23,22,26,29,28,27,25,8,13])).
% 1.70/1.80 cnf(867,plain,
% 1.70/1.80 (P4(a4,f7(a5,a5),f7(a5,a5))),
% 1.70/1.80 inference(scs_inference,[],[43,55,775,607,837,829,833,723,542,148,209,124,142,289,463,601,41,23,22,26,29,28,27,25,8,13,14])).
% 1.70/1.80 cnf(869,plain,
% 1.70/1.80 (P2(f6(f6(a5)),f6(a5),a1)),
% 1.70/1.80 inference(scs_inference,[],[43,55,775,607,837,829,833,723,542,148,209,124,142,289,463,601,41,23,22,26,29,28,27,25,8,13,14,15])).
% 1.70/1.80 cnf(879,plain,
% 1.70/1.80 (P2(f6(f3(a1,a1)),f3(a1,a1),f3(a1,a1))),
% 1.70/1.80 inference(scs_inference,[],[853,439,23,22])).
% 1.70/1.80 cnf(881,plain,
% 1.70/1.80 (~P2(f6(a5),f8(f8(a4)),f6(a5))),
% 1.70/1.80 inference(scs_inference,[],[853,439,869,743,23,22,26])).
% 1.70/1.80 cnf(901,plain,
% 1.70/1.80 (~P2(f3(f6(a1),f6(a1)),f3(a1,a1),a2)),
% 1.70/1.80 inference(scs_inference,[],[818,459,215,881,120,23,22,26])).
% 1.70/1.80 cnf(905,plain,
% 1.70/1.80 (P2(f3(f6(a1),f6(a1)),f6(a2),f6(a2))),
% 1.70/1.80 inference(scs_inference,[],[818,459,867,215,881,865,120,509,205,23,22,26,27,25])).
% 1.70/1.80 cnf(907,plain,
% 1.70/1.80 (P4(f7(f7(a4,a4),f7(a4,a4)),f3(a5,a5),f3(a5,a5))),
% 1.70/1.80 inference(scs_inference,[],[818,459,867,215,881,326,865,120,801,509,205,23,22,26,27,25,28])).
% 1.70/1.80 cnf(909,plain,
% 1.70/1.80 (P4(f3(a4,a4),f7(a1,a1),f7(a1,a1))),
% 1.70/1.80 inference(scs_inference,[],[51,818,459,867,215,881,326,865,105,120,801,509,205,178,23,22,26,27,25,28,30])).
% 1.70/1.80 cnf(928,plain,
% 1.70/1.80 (P2(f7(a5,a5),f7(a5,a5),f3(f7(a5,a5),f7(a5,a5)))),
% 1.70/1.80 inference(scs_inference,[],[209,17])).
% 1.70/1.80 cnf(936,plain,
% 1.70/1.80 (P4(f3(a5,a5),f7(f7(a4,a4),f7(a4,a4)),f3(a5,a5))),
% 1.70/1.80 inference(scs_inference,[],[907,209,17,11,18,10,23])).
% 1.70/1.80 cnf(940,plain,
% 1.70/1.80 (~P2(f6(f6(a5)),a1,a4)),
% 1.70/1.80 inference(scs_inference,[],[55,907,905,869,209,150,17,11,18,10,23,22,26])).
% 1.70/1.80 cnf(948,plain,
% 1.70/1.80 (~P2(f3(f7(a1,a1),f7(a1,a1)),f3(a1,a1),a4)),
% 1.70/1.80 inference(scs_inference,[],[55,907,905,638,814,751,869,743,330,431,209,150,247,190,352,114,463,17,11,18,10,23,22,26,29,28,27,25])).
% 1.70/1.80 cnf(950,plain,
% 1.70/1.80 (P4(f3(f7(a4,a4),f7(a4,a4)),a5,a5)),
% 1.70/1.80 inference(scs_inference,[],[55,907,905,715,638,814,751,869,743,330,797,431,209,150,126,247,190,352,114,463,17,11,18,10,23,22,26,29,28,27,25,30])).
% 1.70/1.80 cnf(952,plain,
% 1.70/1.80 (~P4(a4,f7(a1,a1),f8(f8(a4)))),
% 1.70/1.80 inference(scs_inference,[],[55,907,905,715,638,814,751,869,743,330,797,431,209,150,126,247,190,352,114,463,17,11,18,10,23,22,26,29,28,27,25,30,49])).
% 1.70/1.80 cnf(966,plain,
% 1.70/1.80 (P2(f3(f6(a1),f6(a1)),f3(a2,a2),f3(a2,a2))),
% 1.70/1.80 inference(scs_inference,[],[384,948,368,465,23,22,26])).
% 1.70/1.80 cnf(975,plain,
% 1.70/1.80 (P4(f3(a4,a4),f7(a5,a5),f3(f7(a5,a5),f7(a5,a5)))),
% 1.70/1.80 inference(scs_inference,[],[879,928,384,859,948,698,513,867,368,829,465,77,205,184,178,23,22,26,28,27,25,30])).
% 1.70/1.80 cnf(979,plain,
% 1.70/1.80 (P2(a1,f7(a2,a2),f7(a2,a2))),
% 1.70/1.80 inference(scs_inference,[],[879,928,384,859,948,698,513,867,368,829,465,77,180,81,205,184,178,23,22,26,28,27,25,30,8,13])).
% 1.70/1.80 cnf(983,plain,
% 1.70/1.80 (P2(f6(f8(a4)),f8(a4),a1)),
% 1.70/1.80 inference(scs_inference,[],[879,928,384,859,948,698,513,867,368,829,465,77,180,81,205,184,178,23,22,26,28,27,25,30,8,13,14,15])).
% 1.70/1.80 cnf(995,plain,
% 1.70/1.80 (P4(f7(a1,a1),f3(a4,a4),f7(a1,a1))),
% 1.70/1.80 inference(scs_inference,[],[909,23])).
% 1.70/1.80 cnf(1007,plain,
% 1.70/1.80 (P4(f3(f7(a4,a4),f7(a4,a4)),f7(a5,a5),f7(a5,a5))),
% 1.70/1.80 inference(scs_inference,[],[71,55,909,975,966,983,950,638,544,743,188,668,211,152,23,22,26,29,25,28,27])).
% 1.70/1.80 cnf(1009,plain,
% 1.70/1.80 (~P4(f6(f8(a4)),a4,a1)),
% 1.70/1.80 inference(scs_inference,[],[71,55,909,975,966,983,950,638,544,229,743,188,668,211,205,152,23,22,26,29,25,28,27,30])).
% 1.70/1.80 cnf(1021,plain,
% 1.70/1.80 (P2(a5,f7(a2,a2),f7(a2,a2))),
% 1.70/1.80 inference(scs_inference,[],[73,55,816,901,979,124,23,22,26,25])).
% 1.70/1.80 cnf(1039,plain,
% 1.70/1.80 (~P2(a5,f3(a5,a5),f3(a5,a5))),
% 1.70/1.80 inference(scs_inference,[],[1007,733,620,597,169,23,22,26])).
% 1.70/1.80 cnf(1043,plain,
% 1.70/1.80 (P2(f6(a5),f7(a2,a2),f7(a2,a2))),
% 1.70/1.80 inference(scs_inference,[],[71,1007,733,620,1021,721,597,979,169,690,150,23,22,26,29,25])).
% 1.70/1.80 cnf(1051,plain,
% 1.70/1.80 (P2(f6(a5),f6(a5),f3(f6(a5),f6(a5)))),
% 1.70/1.80 inference(scs_inference,[],[71,1007,733,620,1021,1009,995,783,721,597,979,169,797,690,225,150,148,243,184,178,23,22,26,29,25,28,27,30,17])).
% 1.70/1.80 cnf(1081,plain,
% 1.70/1.80 ($false),
% 1.70/1.80 inference(scs_inference,[],[73,952,940,1043,1039,1051,936,443,406,180,17,11,18,10,23,22,26,29,25]),
% 1.70/1.80 ['proof']).
% 1.70/1.80 % SZS output end Proof
% 1.70/1.80 % Total time :1.140000s
%------------------------------------------------------------------------------