%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : FLD014-3 : TPTP v8.2.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Jun 24 05:55:12 EDT 2024
% Result : Unsatisfiable 59.79s 59.82s
% Output : CNFRefutation 59.79s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : FLD014-3 : TPTP v8.2.0. Bugfixed v2.1.0.
% 0.07/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n002.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 : Wed Jun 19 10:48:09 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.20/0.57 start to proof:theBenchmark
% 59.78/59.81 %-------------------------------------------
% 59.78/59.81 % File :CSE---1.7
% 59.78/59.81 % Problem :theBenchmark
% 59.78/59.81 % Transform :cnf
% 59.78/59.81 % Format :tptp:raw
% 59.78/59.81 % Command :java -jar mcs_scs.jar %d %s
% 59.78/59.81
% 59.78/59.81 % Result :Theorem 59.210000s
% 59.78/59.81 % Output :CNFRefutation 59.210000s
% 59.78/59.81 %-------------------------------------------
% 59.79/59.82 %--------------------------------------------------------------------------
% 59.79/59.82 % File : FLD014-3 : TPTP v8.2.0. Bugfixed v2.1.0.
% 59.79/59.82 % Domain : Field Theory (Ordered fields)
% 59.79/59.82 % Problem : Compatibility of additive inverses with the equality, part 1
% 59.79/59.82 % Version : [Dra93] axioms : Especial.
% 59.79/59.82 % Theorem formulation : Functional with re axiom set.
% 59.79/59.82 % English :
% 59.79/59.82
% 59.79/59.82 % Refs : [Dra93] Draeger (1993), Anwendung des Theorembeweisers SETHEO
% 59.79/59.82 % Source : [Dra93]
% 59.79/59.82 % Names :
% 59.79/59.82
% 59.79/59.82 % Status : Unsatisfiable
% 59.79/59.82 % Rating : 0.00 v6.0.0, 0.14 v5.5.0, 0.25 v5.4.0, 0.30 v5.2.0, 0.10 v5.1.0, 0.09 v5.0.0, 0.14 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 v3.1.0, 0.17 v2.7.0, 0.12 v2.6.0, 0.67 v2.5.0, 0.40 v2.4.0, 0.20 v2.3.0, 0.33 v2.2.1, 0.67 v2.1.0
% 59.79/59.82 % Syntax : Number of clauses : 30 ( 7 unt; 3 nHn; 30 RR)
% 59.79/59.82 % Number of literals : 81 ( 0 equ; 50 neg)
% 59.79/59.82 % Maximal clause size : 5 ( 2 avg)
% 59.79/59.82 % Maximal term depth : 2 ( 1 avg)
% 59.79/59.82 % Number of predicates : 4 ( 4 usr; 0 prp; 1-3 aty)
% 59.79/59.82 % Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% 59.79/59.82 % Number of variables : 73 ( 0 sgn)
% 59.79/59.82 % SPC : CNF_UNS_RFO_NEQ_NHN
% 59.79/59.82
% 59.79/59.82 % Comments :
% 59.79/59.82 % Bugfixes : v2.1.0 - Bugfix in FLD002-0.ax
% 59.79/59.82 %--------------------------------------------------------------------------
% 59.79/59.82 include('Axioms/FLD002-0.ax').
% 59.79/59.82 %--------------------------------------------------------------------------
% 59.79/59.82 cnf(a_is_defined,hypothesis,
% 59.79/59.82 defined(a) ).
% 59.79/59.82
% 59.79/59.82 cnf(b_is_defined,hypothesis,
% 59.79/59.82 defined(b) ).
% 59.79/59.82
% 59.79/59.82 cnf(sum_3,negated_conjecture,
% 59.79/59.82 sum(additive_identity,a,b) ).
% 59.79/59.82
% 59.79/59.82 cnf(not_sum_4,negated_conjecture,
% 59.79/59.82 ~ sum(additive_identity,additive_inverse(a),additive_inverse(b)) ).
% 59.79/59.82
% 59.79/59.82 %--------------------------------------------------------------------------
% 59.79/59.82 %-------------------------------------------
% 59.79/59.82 % Proof found
% 59.79/59.82 % SZS status Theorem for theBenchmark
% 59.79/59.82 % SZS output start Proof
% 59.79/59.83 %ClaNum:30(EqnAxiom:0)
% 59.79/59.83 %VarNum:162(SingletonVarNum:73)
% 59.79/59.83 %MaxLitNum:5
% 59.79/59.83 %MaxfuncDepth:1
% 59.79/59.83 %SharedTerms:13
% 59.79/59.83 %goalClause: 5 7
% 59.79/59.83 %singleGoalClaCount:2
% 59.79/59.83 [1]P1(a1)
% 59.79/59.83 [2]P1(a4)
% 59.79/59.83 [3]P1(a2)
% 59.79/59.83 [4]P1(a5)
% 59.79/59.83 [5]P2(a1,a2,a5)
% 59.79/59.83 [6]~P2(a1,a1,a4)
% 59.79/59.83 [7]~P2(a1,f6(a2),f6(a5))
% 59.79/59.83 [13]~P1(x131)+P2(a1,x131,x131)
% 59.79/59.83 [14]~P1(x141)+P4(a4,x141,x141)
% 59.79/59.83 [8]~P1(x81)+P1(f6(x81))
% 59.79/59.83 [15]~P1(x151)+P2(f6(x151),x151,a1)
% 59.79/59.83 [22]~P2(x222,x221,x223)+P2(x221,x222,x223)
% 59.79/59.83 [23]~P4(x232,x231,x233)+P4(x231,x232,x233)
% 59.79/59.83 [16]~P1(x161)+P2(a1,x161,a1)+P1(f8(x161))
% 59.79/59.83 [20]~P1(x201)+P4(f8(x201),x201,a4)+P2(a1,x201,a1)
% 59.79/59.83 [19]~P3(x192,x191)+~P3(x191,x192)+P2(a1,x191,x192)
% 59.79/59.83 [10]~P1(x102)+~P1(x101)+P1(f3(x101,x102))
% 59.79/59.83 [11]~P1(x112)+~P1(x111)+P1(f7(x111,x112))
% 59.79/59.83 [17]~P1(x172)+~P1(x171)+P2(x171,x172,f3(x171,x172))
% 59.79/59.83 [18]~P1(x182)+~P1(x181)+P4(x181,x182,f7(x181,x182))
% 59.79/59.83 [12]~P3(x121,x123)+P3(x121,x122)+~P3(x123,x122)
% 59.79/59.83 [9]P3(x92,x91)+~P1(x91)+~P1(x92)+P3(x91,x92)
% 59.79/59.83 [21]~P4(x213,x212,x211)+P3(a1,x211)+~P3(a1,x212)+~P3(a1,x213)
% 59.79/59.83 [24]~P2(x243,x245,x241)+P3(x241,x242)+~P2(x244,x245,x242)+~P3(x243,x244)
% 59.79/59.83 [25]~P2(x251,x256,x254)+P2(x251,x252,x253)+~P2(x254,x255,x253)+~P2(x256,x255,x252)
% 59.79/59.83 [26]~P2(x266,x264,x261)+P2(x261,x262,x263)+~P2(x264,x262,x265)+~P2(x266,x265,x263)
% 59.79/59.83 [27]~P4(x271,x276,x274)+P4(x271,x272,x273)+~P4(x274,x275,x273)+~P4(x276,x275,x272)
% 59.79/59.83 [28]~P4(x286,x284,x281)+P4(x281,x282,x283)+~P4(x284,x282,x285)+~P4(x286,x285,x283)
% 59.79/59.83 [29]~P4(x295,x297,x292)+~P4(x294,x297,x291)+P2(x291,x292,x293)+~P2(x294,x295,x296)+~P4(x296,x297,x293)
% 59.79/59.83 [30]~P4(x307,x302,x305)+~P4(x306,x302,x304)+P4(x301,x302,x303)+~P2(x304,x305,x303)+~P2(x306,x307,x301)
% 59.79/59.83 %EqnAxiom
% 59.79/59.83
% 59.79/59.83 %-------------------------------------------
% 59.79/59.83 cnf(31,plain,
% 59.79/59.83 (~P2(f6(a2),a1,f6(a5))),
% 59.79/59.83 inference(scs_inference,[],[7,22])).
% 59.79/59.83 cnf(33,plain,
% 59.79/59.83 (P3(a1,a1)),
% 59.79/59.83 inference(scs_inference,[],[7,1,22,9])).
% 59.79/59.83 cnf(39,plain,
% 59.79/59.83 (~P2(x391,a1,a1)+P2(x391,a5,a5)),
% 59.79/59.83 inference(scs_inference,[],[5,7,1,22,9,19,24,25])).
% 59.79/59.83 cnf(43,plain,
% 59.79/59.84 (~P4(a2,x431,a2)+~P4(a1,x431,a1)+P4(a5,x431,a5)),
% 59.79/59.84 inference(scs_inference,[],[5,7,1,22,9,24,30])).
% 59.79/59.84 cnf(44,plain,
% 59.79/59.84 (P3(a4,a4)),
% 59.79/59.84 inference(scs_inference,[],[2,9])).
% 59.79/59.84 cnf(51,plain,
% 59.79/59.84 (P3(a2,a2)),
% 59.79/59.84 inference(scs_inference,[],[3,9])).
% 59.79/59.84 cnf(146,plain,
% 59.79/59.84 (P2(f6(f6(a2)),f6(a2),a1)),
% 59.79/59.84 inference(scs_inference,[],[3,15,8])).
% 59.79/59.84 cnf(577,plain,
% 59.79/59.84 (P2(f6(a2),f6(a2),f3(f6(a2),f6(a2)))),
% 59.79/59.84 inference(scs_inference,[],[3,17,8])).
% 59.79/59.84 cnf(657,plain,
% 59.79/59.84 (~P4(x6571,a1,a1)+P4(a5,x6571,a5)+~P4(a2,x6571,a2)),
% 59.79/59.84 inference(scs_inference,[],[43,23])).
% 59.79/59.84 cnf(1322,plain,
% 59.79/59.84 (P2(a1,f6(a1),f6(a1))),
% 59.79/59.84 inference(scs_inference,[],[1,8,13])).
% 59.79/59.84 cnf(1388,plain,
% 59.79/59.84 (P2(a1,f6(a5),f6(a5))),
% 59.79/59.84 inference(scs_inference,[],[4,8,13])).
% 59.79/59.84 cnf(1615,plain,
% 59.79/59.84 (P2(a1,f6(a4),f6(a4))),
% 59.79/59.84 inference(scs_inference,[],[2,8,13])).
% 59.79/59.84 cnf(1696,plain,
% 59.79/59.84 (P4(a4,f6(a4),f6(a4))),
% 59.79/59.84 inference(scs_inference,[],[2,8,14])).
% 59.79/59.84 cnf(1891,plain,
% 59.79/59.84 (P2(f6(f6(a4)),f6(a4),a1)),
% 59.79/59.84 inference(scs_inference,[],[2,8,15])).
% 59.79/59.84 cnf(1892,plain,
% 59.79/59.84 (P2(a1,x18921,a1)+~P2(f6(a4),x18921,f6(a4))),
% 59.79/59.84 inference(scs_inference,[],[1891,26])).
% 59.79/59.84 cnf(1924,plain,
% 59.79/59.84 (P2(a1,a1,a1)),
% 59.79/59.84 inference(scs_inference,[],[1615,1892,22])).
% 59.79/59.84 cnf(3017,plain,
% 59.79/59.84 (P2(a1,f6(a2),f6(a2))),
% 59.79/59.84 inference(scs_inference,[],[3,8,13])).
% 59.79/59.84 cnf(3387,plain,
% 59.79/59.84 (P4(a4,f6(a2),f6(a2))),
% 59.79/59.84 inference(scs_inference,[],[3,8,14])).
% 59.79/59.84 cnf(3599,plain,
% 59.79/59.84 (~P2(f6(a2),x35991,a1)+~P2(x35991,f3(f6(a2),f6(a2)),f6(a5))),
% 59.79/59.84 inference(scs_inference,[],[31,577,25,22])).
% 59.79/59.84 cnf(3613,plain,
% 59.79/59.84 (P2(a2,a1,a5)),
% 59.79/59.84 inference(scs_inference,[],[5,22])).
% 59.79/59.84 cnf(3616,plain,
% 59.79/59.84 (P2(f6(a5),a1,f6(a5))),
% 59.79/59.84 inference(scs_inference,[],[1388,22])).
% 59.79/59.84 cnf(3625,plain,
% 59.79/59.84 (P2(f6(a2),a1,f6(a2))),
% 59.79/59.84 inference(scs_inference,[],[3017,22])).
% 59.79/59.84 cnf(3632,plain,
% 59.79/59.84 (P2(f6(a1),a1,f6(a1))),
% 59.79/59.84 inference(scs_inference,[],[1322,22])).
% 59.79/59.84 cnf(3644,plain,
% 59.79/59.84 (P2(f6(a4),a1,f6(a4))),
% 59.79/59.84 inference(scs_inference,[],[1615,22])).
% 59.79/59.84 cnf(3654,plain,
% 59.79/59.84 (P2(f6(a2),f6(f6(a2)),a1)),
% 59.79/59.84 inference(scs_inference,[],[146,22])).
% 59.79/59.84 cnf(3707,plain,
% 59.79/59.84 (P4(f6(a2),a4,f6(a2))),
% 59.79/59.84 inference(scs_inference,[],[3387,23])).
% 59.79/59.84 cnf(3711,plain,
% 59.79/59.84 (P4(f6(a4),a4,f6(a4))),
% 59.79/59.84 inference(scs_inference,[],[1696,23])).
% 59.79/59.84 cnf(3880,plain,
% 59.79/59.84 (~P4(f6(a2),a4,f6(a5))+~P4(a1,a4,a1)),
% 59.79/59.84 inference(scs_inference,[],[7,3017,3707,29])).
% 59.79/59.84 cnf(4189,plain,
% 59.79/59.84 (~P2(f6(a2),f6(a5),f3(f6(a2),f6(a2)))),
% 59.79/59.84 inference(scs_inference,[],[3654,146,1388,3599,25])).
% 59.79/59.84 cnf(4190,plain,
% 59.79/59.84 (~P2(a1,f6(a5),f6(a2))),
% 59.79/59.84 inference(scs_inference,[],[3625,4189,577,26])).
% 59.79/59.84 cnf(8890,plain,
% 59.79/59.84 (~P2(f6(a5),x88901,a1)+~P2(f6(a5),x88901,a4)),
% 59.79/59.84 inference(scs_inference,[],[6,1388,25])).
% 59.79/59.84 cnf(8893,plain,
% 59.79/59.84 (~P2(f6(a1),x88931,a1)+~P2(f6(a1),x88931,a4)),
% 59.79/59.84 inference(scs_inference,[],[6,1322,25])).
% 59.79/59.84 cnf(8895,plain,
% 59.79/59.84 (~P2(f6(a1),x88951,a1)+~P2(x88951,f6(a1),a4)),
% 59.79/59.84 inference(scs_inference,[],[6,1322,25,22])).
% 59.79/59.84 cnf(8898,plain,
% 59.79/59.84 (~P2(x88981,x88982,a4)+~P4(a2,x88983,x88982)+~P4(a2,x88983,a1)+~P4(a1,x88983,a1)+~P4(a1,x88983,x88981)),
% 59.79/59.84 inference(scs_inference,[],[6,5,44,29,30])).
% 59.79/59.84 cnf(8985,plain,
% 59.79/59.84 (~P2(x89851,f6(a5),a4)+~P2(f6(a5),x89851,a1)),
% 59.79/59.84 inference(scs_inference,[],[8890,22])).
% 59.79/59.84 cnf(9033,plain,
% 59.79/59.84 (~P2(a5,f6(a5),a4)),
% 59.79/59.84 inference(scs_inference,[],[4,8985,15])).
% 59.79/59.84 cnf(9034,plain,
% 59.79/59.84 (~P2(f6(a5),a5,a4)),
% 59.79/59.84 inference(scs_inference,[],[9033,22])).
% 59.79/59.84 cnf(9328,plain,
% 59.79/59.84 (~P2(f6(a5),x93281,a1)+~P2(x93281,f6(a2),a1)),
% 59.79/59.84 inference(scs_inference,[],[5,7,9034,3616,25,22,26])).
% 59.79/59.84 cnf(9338,plain,
% 59.79/59.84 (~P2(f6(a2),x93381,a1)+~P2(x93381,f6(a5),a1)),
% 59.79/59.84 inference(scs_inference,[],[3625,4190,26])).
% 59.79/59.84 cnf(9357,plain,
% 59.79/59.84 (P1(f6(a1))),
% 59.79/59.84 inference(scs_inference,[],[1,8])).
% 59.79/59.84 cnf(9359,plain,
% 59.79/59.84 (P4(a4,a1,a1)),
% 59.79/59.84 inference(scs_inference,[],[1,8,14])).
% 59.79/59.84 cnf(9361,plain,
% 59.79/59.84 (P2(a1,a4,a4)),
% 59.79/59.84 inference(scs_inference,[],[1,2,8,14,13])).
% 59.79/59.84 cnf(9363,plain,
% 59.79/59.84 (P2(a4,a1,a4)),
% 59.79/59.84 inference(scs_inference,[],[1,2,8,14,13,22])).
% 59.79/59.84 cnf(9365,plain,
% 59.79/59.84 (P4(a1,a4,a1)),
% 59.79/59.84 inference(scs_inference,[],[1,2,8,14,13,22,23])).
% 59.79/59.84 cnf(9367,plain,
% 59.79/59.84 (P2(f6(a1),a1,a1)),
% 59.79/59.84 inference(scs_inference,[],[1,2,8,14,13,22,23,15])).
% 59.79/59.84 cnf(9369,plain,
% 59.79/59.84 (P1(f3(a1,a1))),
% 59.79/59.84 inference(scs_inference,[],[1,2,8,14,13,22,23,15,10])).
% 59.79/59.84 cnf(9371,plain,
% 59.79/59.84 (P1(f7(a1,a1))),
% 59.79/59.84 inference(scs_inference,[],[1,2,8,14,13,22,23,15,10,11])).
% 59.79/59.84 cnf(9373,plain,
% 59.79/59.84 (P4(a1,a1,f7(a1,a1))),
% 59.79/59.84 inference(scs_inference,[],[1,2,8,14,13,22,23,15,10,11,18])).
% 59.79/59.84 cnf(9375,plain,
% 59.79/59.84 (P2(a1,a1,f3(a1,a1))),
% 59.79/59.84 inference(scs_inference,[],[1,2,8,14,13,22,23,15,10,11,18,17])).
% 59.79/59.84 cnf(9377,plain,
% 59.79/59.84 (P2(a1,a2,a2)),
% 59.79/59.84 inference(scs_inference,[],[1,2,51,8,14,13,22,23,15,10,11,18,17,19])).
% 59.79/59.84 cnf(9381,plain,
% 59.79/59.84 (P4(f7(a1,a1),a4,f7(a1,a1))),
% 59.79/59.84 inference(scs_inference,[],[1,2,33,51,8,14,13,22,23,15,10,11,18,17,19,21,28])).
% 59.79/59.84 cnf(9383,plain,
% 59.79/59.84 (P2(a1,f3(a1,a1),f3(a1,a1))),
% 59.79/59.84 inference(scs_inference,[],[1,2,33,1924,51,8,14,13,22,23,15,10,11,18,17,19,21,28,25])).
% 59.79/59.84 cnf(9387,plain,
% 59.79/59.84 (P2(a1,f7(a1,a1),a1)),
% 59.79/59.84 inference(scs_inference,[],[1,2,33,1924,51,8,14,13,22,23,15,10,11,18,17,19,21,28,25,24,29])).
% 59.79/59.84 cnf(9389,plain,
% 59.79/59.84 (~P2(f6(a1),a1,a4)),
% 59.79/59.84 inference(scs_inference,[],[1,2,33,1924,51,8,14,13,22,23,15,10,11,18,17,19,21,28,25,24,29,8893])).
% 59.79/59.84 cnf(9391,plain,
% 59.79/59.84 (~P2(a1,f6(a1),a4)),
% 59.79/59.84 inference(scs_inference,[],[1,2,33,1924,51,8,14,13,22,23,15,10,11,18,17,19,21,28,25,24,29,8893,8895])).
% 59.79/59.84 cnf(9394,plain,
% 59.79/59.84 (P2(f6(a1),a5,a5)),
% 59.79/59.84 inference(scs_inference,[],[1,2,33,1924,51,8,14,13,22,23,15,10,11,18,17,19,21,28,25,24,29,8893,8895,3880,39])).
% 59.79/59.84 cnf(9398,plain,
% 59.79/59.84 (P2(f3(a1,a1),a1,f3(a1,a1))),
% 59.79/59.84 inference(scs_inference,[],[1,2,33,1924,51,8,14,13,22,23,15,10,11,18,17,19,21,28,25,24,29,8893,8895,3880,39,16,26])).
% 59.79/59.84 cnf(9419,plain,
% 59.79/59.84 (P4(a4,f3(a1,a1),f3(a1,a1))),
% 59.79/59.84 inference(scs_inference,[],[9369,14])).
% 59.79/59.84 cnf(9423,plain,
% 59.79/59.84 (P2(a1,f7(a1,a1),f7(a1,a1))),
% 59.79/59.84 inference(scs_inference,[],[9369,9371,2,14,8,13])).
% 59.79/59.84 cnf(9425,plain,
% 59.79/59.84 (P4(a4,f7(a1,a1),f7(a1,a1))),
% 59.79/59.84 inference(scs_inference,[],[9369,9381,9371,2,14,8,13,23])).
% 59.79/59.84 cnf(9427,plain,
% 59.79/59.84 (P2(a2,a1,a2)),
% 59.79/59.84 inference(scs_inference,[],[9377,9369,9381,9371,2,14,8,13,23,22])).
% 59.79/59.84 cnf(9429,plain,
% 59.79/59.84 (P2(f6(a4),a4,a1)),
% 59.79/59.84 inference(scs_inference,[],[9377,9369,9381,9371,2,14,8,13,23,22,15])).
% 59.79/59.84 cnf(9431,plain,
% 59.79/59.84 (P1(f3(a4,a4))),
% 59.79/59.84 inference(scs_inference,[],[9377,9369,9381,9371,2,14,8,13,23,22,15,10])).
% 59.79/59.84 cnf(9433,plain,
% 59.79/59.84 (P4(a4,a4,f7(a4,a4))),
% 59.79/59.84 inference(scs_inference,[],[9377,9369,9381,9371,2,14,8,13,23,22,15,10,18])).
% 59.79/59.84 cnf(9435,plain,
% 59.79/59.84 (P1(f7(a4,a4))),
% 59.79/59.84 inference(scs_inference,[],[9377,9369,9381,9371,2,14,8,13,23,22,15,10,18,11])).
% 59.79/59.84 cnf(9437,plain,
% 59.79/59.84 (P2(a4,a4,f3(a4,a4))),
% 59.79/59.84 inference(scs_inference,[],[9377,9369,9381,9371,2,14,8,13,23,22,15,10,18,11,17])).
% 59.79/59.84 cnf(9441,plain,
% 59.79/59.84 (P2(f6(a1),a4,a4)),
% 59.79/59.84 inference(scs_inference,[],[9361,9377,9391,9369,9381,9371,9387,9367,2,14,8,13,23,22,15,10,18,11,17,26,25])).
% 59.79/59.84 cnf(9443,plain,
% 59.79/59.84 (P3(f7(a1,a1),f7(a1,a1))),
% 59.79/59.84 inference(scs_inference,[],[9361,9377,9391,9369,9381,9371,9387,9367,2,33,14,8,13,23,22,15,10,18,11,17,26,25,24])).
% 59.79/59.84 cnf(9447,plain,
% 59.79/59.84 (P2(f7(a1,a1),a1,a1)),
% 59.79/59.84 inference(scs_inference,[],[9365,9359,9361,9377,9391,9369,9381,9371,9387,9375,9373,9367,2,33,14,8,13,23,22,15,10,18,11,17,26,25,24,30,29])).
% 59.79/59.84 cnf(9449,plain,
% 59.79/59.84 (P2(f7(a1,a1),a5,a5)),
% 59.79/59.84 inference(scs_inference,[],[9365,9359,9361,9377,9391,9369,9381,9371,9387,9375,9373,9367,2,33,14,8,13,23,22,15,10,18,11,17,26,25,24,30,29,39])).
% 59.79/59.84 cnf(9453,plain,
% 59.79/59.84 (P4(a1,f7(a4,a4),a1)),
% 59.79/59.84 inference(scs_inference,[],[9365,9359,9361,9377,9391,9369,9381,9371,9387,9375,9373,9367,2,33,14,8,13,23,22,15,10,18,11,17,26,25,24,30,29,39,657,27])).
% 59.79/59.84 cnf(9457,plain,
% 59.79/59.84 (P1(f6(a5))),
% 59.79/59.84 inference(scs_inference,[],[4,8])).
% 59.79/59.84 cnf(9459,plain,
% 59.79/59.84 (P4(a4,f3(a4,a4),f3(a4,a4))),
% 59.79/59.84 inference(scs_inference,[],[9431,4,8,14])).
% 59.79/59.84 cnf(9461,plain,
% 59.79/59.84 (P2(a1,f3(a4,a4),f3(a4,a4))),
% 59.79/59.84 inference(scs_inference,[],[9431,4,8,14,13])).
% 59.79/59.84 cnf(9465,plain,
% 59.79/59.84 (P4(f7(a4,a4),a1,a1)),
% 59.79/59.84 inference(scs_inference,[],[9394,9431,9453,4,8,14,13,22,23])).
% 59.79/59.84 cnf(9467,plain,
% 59.79/59.84 (P2(f6(a5),a5,a1)),
% 59.79/59.84 inference(scs_inference,[],[9394,9431,9453,4,8,14,13,22,23,15])).
% 59.79/59.84 cnf(9469,plain,
% 59.79/59.84 (P1(f3(a5,a5))),
% 59.79/59.84 inference(scs_inference,[],[9394,9431,9453,4,8,14,13,22,23,15,10])).
% 59.79/59.84 cnf(9471,plain,
% 59.79/59.84 (P1(f7(a5,a5))),
% 59.79/59.84 inference(scs_inference,[],[9394,9431,9453,4,8,14,13,22,23,15,10,11])).
% 59.79/59.84 cnf(9475,plain,
% 59.79/59.84 (P2(a5,a5,f3(a5,a5))),
% 59.79/59.84 inference(scs_inference,[],[9394,9431,9453,4,8,14,13,22,23,15,10,11,18,17])).
% 59.79/59.84 cnf(9479,plain,
% 59.79/59.84 (P4(f7(a1,a1),f7(a4,a4),f7(a1,a1))),
% 59.79/59.84 inference(scs_inference,[],[9363,9394,9431,9437,9453,9373,4,8,14,13,22,23,15,10,11,18,17,26,28])).
% 59.79/59.84 cnf(9481,plain,
% 59.79/59.84 (P2(f7(a1,a1),f3(a1,a1),f3(a1,a1))),
% 59.79/59.84 inference(scs_inference,[],[9363,9394,9383,9431,9447,9437,9453,9373,4,8,14,13,22,23,15,10,11,18,17,26,28,25])).
% 59.79/59.84 cnf(9483,plain,
% 59.79/59.84 (P2(f7(a1,a1),f7(a1,a1),f7(a1,a1))),
% 59.79/59.84 inference(scs_inference,[],[9363,9394,9383,9431,9447,9437,9453,9373,4,1924,8,14,13,22,23,15,10,11,18,17,26,28,25,29])).
% 59.79/59.84 cnf(9485,plain,
% 59.79/59.84 (~P2(a5,f6(a2),a1)),
% 59.79/59.84 inference(scs_inference,[],[9363,9394,9383,9431,9447,9437,9453,9373,4,1924,8,14,13,22,23,15,10,11,18,17,26,28,25,29,9328])).
% 59.79/59.84 cnf(9489,plain,
% 59.79/59.84 (P4(f3(a1,a1),f7(a4,a4),f3(a1,a1))),
% 59.79/59.84 inference(scs_inference,[],[9363,9394,9383,9431,9447,9437,9453,9373,9375,4,1924,8,14,13,22,23,15,10,11,18,17,26,28,25,29,9328,20,30])).
% 59.79/59.84 cnf(9494,plain,
% 59.79/59.84 (P4(a4,f3(a5,a5),f3(a5,a5))),
% 59.79/59.84 inference(scs_inference,[],[9469,14])).
% 59.79/59.84 cnf(9498,plain,
% 59.79/59.84 (P2(a1,f3(a5,a5),f3(a5,a5))),
% 59.79/59.84 inference(scs_inference,[],[9469,3,14,8,13])).
% 59.79/59.84 cnf(9500,plain,
% 59.79/59.84 (P4(f7(a4,a4),f7(a1,a1),f7(a1,a1))),
% 59.79/59.84 inference(scs_inference,[],[9479,9469,3,14,8,13,23])).
% 59.79/59.84 cnf(9502,plain,
% 59.79/59.84 (P2(f3(a1,a1),f7(a1,a1),f3(a1,a1))),
% 59.79/59.84 inference(scs_inference,[],[9481,9479,9469,3,14,8,13,23,22])).
% 59.79/59.84 cnf(9504,plain,
% 59.79/59.84 (P2(f6(a2),a2,a1)),
% 59.79/59.84 inference(scs_inference,[],[9481,9479,9469,3,14,8,13,23,22,15])).
% 59.79/59.84 cnf(9506,plain,
% 59.79/59.84 (P1(f3(a2,a2))),
% 59.79/59.84 inference(scs_inference,[],[9481,9479,9469,3,14,8,13,23,22,15,10])).
% 59.79/59.84 cnf(9510,plain,
% 59.79/59.84 (P1(f7(a2,a2))),
% 59.79/59.84 inference(scs_inference,[],[9481,9479,9469,3,14,8,13,23,22,15,10,18,11])).
% 59.79/59.84 cnf(9512,plain,
% 59.79/59.84 (P2(a2,a2,f3(a2,a2))),
% 59.79/59.84 inference(scs_inference,[],[9481,9479,9469,3,14,8,13,23,22,15,10,18,11,17])).
% 59.79/59.84 cnf(9516,plain,
% 59.79/59.84 (~P2(f6(a1),f6(a4),f6(a1))),
% 59.79/59.84 inference(scs_inference,[],[5,9389,9485,9481,9479,9469,9441,9429,9387,3,14,8,13,23,22,15,10,18,11,17,26,25])).
% 59.79/59.84 cnf(9518,plain,
% 59.79/59.84 (P2(f7(a4,a4),a1,f7(a4,a4))),
% 59.79/59.84 inference(scs_inference,[],[5,9389,9485,9481,9479,9469,9441,9429,9433,9363,9387,9365,3,14,8,13,23,22,15,10,18,11,17,26,25,29])).
% 59.79/59.84 cnf(9520,plain,
% 59.79/59.84 (P4(f3(a4,a4),f7(a1,a1),f7(a1,a1))),
% 59.79/59.84 inference(scs_inference,[],[5,9425,9389,9485,9481,9483,9479,9469,9441,9429,9433,9363,9387,9437,9365,3,14,8,13,23,22,15,10,18,11,17,26,25,29,30])).
% 59.79/59.84 cnf(9522,plain,
% 59.79/59.84 (~P2(a2,f6(a5),a1)),
% 59.79/59.84 inference(scs_inference,[],[5,9425,9389,9485,9481,9483,9479,9469,9441,9429,9433,9363,9387,9437,9365,3,14,8,13,23,22,15,10,18,11,17,26,25,29,30,9338])).
% 59.79/59.84 cnf(9530,plain,
% 59.79/59.84 (P2(a1,f3(a2,a2),f3(a2,a2))),
% 59.79/59.84 inference(scs_inference,[],[9506,14,13])).
% 59.79/59.84 cnf(9532,plain,
% 59.79/59.84 (P2(a5,f7(a1,a1),a5)),
% 59.79/59.84 inference(scs_inference,[],[9449,9506,14,13,22])).
% 59.79/59.84 cnf(9536,plain,
% 59.79/59.84 (P4(f6(a4),f7(a4,a4),f6(a4))),
% 59.79/59.84 inference(scs_inference,[],[9449,9489,9506,9433,3711,14,13,22,23,27])).
% 59.79/59.84 cnf(9538,plain,
% 59.79/59.84 (~P2(a2,f6(a2),a1)),
% 59.79/59.84 inference(scs_inference,[],[9449,9489,9506,9485,9433,3711,3613,3017,14,13,22,23,27,26])).
% 59.79/59.84 cnf(9540,plain,
% 59.79/59.84 (P2(f7(a1,a1),f3(a5,a5),f3(a5,a5))),
% 59.79/59.84 inference(scs_inference,[],[9449,9489,9506,9498,9485,9433,9447,3711,3613,3017,14,13,22,23,27,26,25])).
% 59.79/59.84 cnf(9542,plain,
% 59.79/59.84 (P2(f6(a4),f7(a4,a4),a1)),
% 59.79/59.84 inference(scs_inference,[],[9449,9489,9506,9498,9485,9429,9433,9447,9365,3711,3613,3017,14,13,22,23,27,26,25,29])).
% 59.79/59.84 cnf(9549,plain,
% 59.79/59.84 (P4(a4,f7(a2,a2),f7(a2,a2))),
% 59.79/59.84 inference(scs_inference,[],[9510,14])).
% 59.79/59.84 cnf(9551,plain,
% 59.79/59.84 (P2(a1,f7(a2,a2),f7(a2,a2))),
% 59.79/59.84 inference(scs_inference,[],[9510,14,13])).
% 59.79/59.84 cnf(9553,plain,
% 59.79/59.84 (P2(f3(a5,a5),f7(a1,a1),f3(a5,a5))),
% 59.79/59.84 inference(scs_inference,[],[9540,9510,14,13,22])).
% 59.79/59.84 cnf(9555,plain,
% 59.79/59.84 (P4(f7(a1,a1),f3(a4,a4),f7(a1,a1))),
% 59.79/59.84 inference(scs_inference,[],[9540,9520,9510,14,13,22,23])).
% 59.79/59.84 cnf(9557,plain,
% 59.79/59.84 (~P2(f6(a4),f7(a4,a4),a4)),
% 59.79/59.84 inference(scs_inference,[],[9540,9520,9518,9510,9542,6,14,13,22,23,26])).
% 59.79/59.84 cnf(9559,plain,
% 59.79/59.84 (P4(f7(a4,a4),f3(a5,a5),f3(a5,a5))),
% 59.79/59.84 inference(scs_inference,[],[9540,9520,9518,9510,9494,9542,9433,6,14,13,22,23,26,28])).
% 59.79/59.84 cnf(9561,plain,
% 59.79/59.84 (P2(f6(a1),f3(a5,a5),f3(a5,a5))),
% 59.79/59.84 inference(scs_inference,[],[9540,9520,9475,9518,9510,9494,9542,9394,9433,6,14,13,22,23,26,28,25])).
% 59.79/59.84 cnf(9569,plain,
% 59.79/59.85 (P4(a4,f7(a4,a4),f7(a4,a4))),
% 59.79/59.85 inference(scs_inference,[],[9435,14])).
% 59.79/59.85 cnf(9571,plain,
% 59.79/59.85 (P2(a1,f7(a4,a4),f7(a4,a4))),
% 59.79/59.85 inference(scs_inference,[],[9435,14,13])).
% 59.79/59.85 cnf(9575,plain,
% 59.79/59.85 (P4(f3(a5,a5),f7(a4,a4),f3(a5,a5))),
% 59.79/59.85 inference(scs_inference,[],[9559,9561,9435,14,13,22,23])).
% 59.79/59.85 cnf(9579,plain,
% 59.79/59.85 (P4(f7(a4,a4),a4,f7(a4,a4))),
% 59.79/59.85 inference(scs_inference,[],[9559,9522,9561,9435,9377,9387,9433,14,13,22,23,26,28])).
% 59.79/59.85 cnf(9581,plain,
% 59.79/59.85 (~P2(a1,f6(a1),f6(a4))),
% 59.79/59.85 inference(scs_inference,[],[9559,9522,9561,9435,9516,9377,9367,9387,9433,1322,14,13,22,23,26,28,25])).
% 59.79/59.85 cnf(9590,plain,
% 59.79/59.85 (P4(a4,f7(a5,a5),f7(a5,a5))),
% 59.79/59.85 inference(scs_inference,[],[9471,14])).
% 59.79/59.85 cnf(9592,plain,
% 59.79/59.85 (P2(a1,f7(a5,a5),f7(a5,a5))),
% 59.79/59.85 inference(scs_inference,[],[9471,14,13])).
% 59.79/59.85 cnf(9596,plain,
% 59.79/59.85 (P4(f7(a2,a2),a4,f7(a2,a2))),
% 59.79/59.85 inference(scs_inference,[],[9530,9471,9549,14,13,22,23])).
% 59.79/59.85 cnf(9602,plain,
% 59.79/59.85 (P2(f7(a1,a1),f3(a2,a2),f3(a2,a2))),
% 59.79/59.85 inference(scs_inference,[],[9575,9530,9471,9579,9549,9447,4190,1388,14,13,22,23,26,28,25])).
% 59.79/59.85 cnf(9608,plain,
% 59.79/59.85 (P4(a4,f6(a1),f6(a1))),
% 59.79/59.85 inference(scs_inference,[],[9357,14])).
% 59.79/59.85 cnf(9612,plain,
% 59.79/59.85 (P4(f7(a5,a5),a4,f7(a5,a5))),
% 59.79/59.85 inference(scs_inference,[],[9602,9590,9357,14,22,23])).
% 59.79/59.85 cnf(9614,plain,
% 59.79/59.85 (P4(f7(a2,a2),f7(a4,a4),f7(a2,a2))),
% 59.79/59.85 inference(scs_inference,[],[9602,9590,9596,9357,9433,14,22,23,27])).
% 59.79/59.85 cnf(9616,plain,
% 59.79/59.85 (P2(f6(a4),a4,f3(a1,a1))),
% 59.79/59.85 inference(scs_inference,[],[9602,9590,9596,9357,9429,9375,9433,1615,14,22,23,27,26])).
% 59.79/59.85 cnf(9617,plain,
% 59.79/59.85 (~P2(x96171,x96172,x96173)+~P2(x96174,x96171,x96175)+P2(x96175,x96172,x96176)+~P2(x96174,x96173,x96176)),
% 59.79/59.85 inference(rename_variables,[],[26])).
% 59.79/59.85 cnf(9618,plain,
% 59.79/59.85 (P4(f7(a4,a4),f7(a4,a4),f7(a4,a4))),
% 59.79/59.85 inference(scs_inference,[],[9602,9569,9590,9596,9357,9429,9375,9433,1615,14,22,23,27,26,28])).
% 59.79/59.85 cnf(9624,plain,
% 59.79/59.85 (P2(f6(a4),f7(a4,a4),f3(a1,a1))),
% 59.79/59.85 inference(scs_inference,[],[5,9427,9602,9569,9551,9590,9596,9357,9536,9489,9367,9429,9375,9433,1615,14,22,23,27,26,28,25,9617,29])).
% 59.79/59.85 cnf(9629,plain,
% 59.79/59.85 (P4(a4,f6(a5),f6(a5))),
% 59.79/59.85 inference(scs_inference,[],[9457,14])).
% 59.79/59.85 cnf(9631,plain,
% 59.79/59.85 (P2(f7(a5,a5),a1,f7(a5,a5))),
% 59.79/59.85 inference(scs_inference,[],[9592,9457,14,22])).
% 59.79/59.85 cnf(9635,plain,
% 59.79/59.85 (~P2(f7(a4,a4),f6(a1),a1)),
% 59.79/59.85 inference(scs_inference,[],[9614,9592,9581,9457,9542,3644,14,22,23,26])).
% 59.79/59.85 cnf(9637,plain,
% 59.79/59.85 (~P2(f6(a1),a4,f6(a1))),
% 59.79/59.85 inference(scs_inference,[],[9614,9592,9581,9457,9391,9542,9441,1322,3644,14,22,23,26,25])).
% 59.79/59.85 cnf(9646,plain,
% 59.79/59.85 (P2(f7(a4,a4),f6(a4),f3(a1,a1))),
% 59.79/59.85 inference(scs_inference,[],[9624,2,14,22])).
% 59.79/59.85 cnf(9650,plain,
% 59.79/59.85 (P4(f7(a5,a5),f7(a4,a4),f7(a5,a5))),
% 59.79/59.85 inference(scs_inference,[],[9624,9608,9612,9433,2,14,22,23,27])).
% 59.79/59.85 cnf(9654,plain,
% 59.79/59.85 (P2(f6(a1),f7(a4,a4),f7(a4,a4))),
% 59.79/59.85 inference(scs_inference,[],[9571,9624,9608,9612,9367,9433,2,4190,1388,14,22,23,27,26,25])).
% 59.79/59.85 cnf(9656,plain,
% 59.79/59.85 (P4(f3(a1,a1),a1,f7(a1,a1))),
% 59.79/59.85 inference(scs_inference,[],[9571,9624,9608,9483,9612,9367,9373,9375,9433,2,4190,1388,14,22,23,27,26,25,30])).
% 59.79/59.85 cnf(9662,plain,
% 59.79/59.85 (P4(a4,a5,a5)),
% 59.79/59.85 inference(scs_inference,[],[4,14])).
% 59.79/59.85 cnf(9664,plain,
% 59.79/59.85 (P2(f7(a4,a4),f6(a1),f7(a4,a4))),
% 59.79/59.85 inference(scs_inference,[],[9654,4,14,22])).
% 59.79/59.85 cnf(9668,plain,
% 59.79/59.85 (P2(f3(a1,a1),f7(a4,a4),f7(a4,a4))),
% 59.79/59.85 inference(scs_inference,[],[9650,9646,9654,9518,9542,4,14,22,23,26])).
% 59.79/59.85 cnf(9670,plain,
% 59.79/59.85 (P2(f7(a1,a1),f3(a4,a4),f3(a4,a4))),
% 59.79/59.85 inference(scs_inference,[],[9650,9461,9646,9654,9518,9542,9447,4,14,22,23,26,25])).
% 59.79/59.85 cnf(9681,plain,
% 59.79/59.85 (P4(a4,a2,a2)),
% 59.79/59.85 inference(scs_inference,[],[3,14])).
% 59.79/59.85 cnf(9683,plain,
% 59.79/59.85 (P2(f7(a4,a4),f3(a1,a1),f7(a4,a4))),
% 59.79/59.85 inference(scs_inference,[],[9668,3,14,22])).
% 59.79/59.85 cnf(9687,plain,
% 59.79/59.85 (~P2(f3(a1,a1),f7(a4,a4),a1)),
% 59.79/59.85 inference(scs_inference,[],[9662,9668,9664,9635,3,14,22,23,26])).
% 59.79/59.85 cnf(9689,plain,
% 59.79/59.85 (~P2(f6(a1),f7(a1,a1),a4)),
% 59.79/59.85 inference(scs_inference,[],[9662,9668,9664,9635,9389,9363,9447,3,14,22,23,26,25])).
% 59.79/59.85 cnf(9698,plain,
% 59.79/59.85 (P2(f3(a4,a4),f7(a1,a1),f3(a4,a4))),
% 59.79/59.85 inference(scs_inference,[],[9670,22])).
% 59.79/59.85 cnf(9702,plain,
% 59.79/59.85 (~P2(a1,f3(a1,a1),a4)),
% 59.79/59.85 inference(scs_inference,[],[9681,9670,9557,9624,1615,22,23,26])).
% 59.79/59.85 cnf(9704,plain,
% 59.79/59.85 (P2(f6(a1),f7(a1,a1),f7(a1,a1))),
% 59.79/59.85 inference(scs_inference,[],[9681,9670,9557,9423,9624,9367,1615,22,23,26,25])).
% 59.79/59.85 cnf(9708,plain,
% 59.79/59.85 (P4(f3(a4,a4),a2,f3(a2,a2))),
% 59.79/59.85 inference(scs_inference,[],[9681,9670,9557,9423,9512,9624,9443,9437,9367,1615,22,23,26,25,24,30])).
% 59.79/59.85 cnf(9718,plain,
% 59.79/59.85 (P2(f7(a1,a1),f6(a1),f7(a1,a1))),
% 59.79/59.85 inference(scs_inference,[],[9704,22])).
% 59.79/59.85 cnf(9722,plain,
% 59.79/59.85 (P2(f7(a4,a4),f7(a1,a1),f7(a4,a4))),
% 59.79/59.85 inference(scs_inference,[],[9683,9502,9629,9704,22,23,26])).
% 59.79/59.85 cnf(9724,plain,
% 59.79/59.85 (~P2(f7(a4,a4),f3(a1,a1),a1)),
% 59.79/59.85 inference(scs_inference,[],[9683,9502,9629,9704,9687,9668,22,23,26,25])).
% 59.79/59.85 cnf(9735,plain,
% 59.79/59.85 (P2(f7(a1,a1),f7(a4,a4),f7(a4,a4))),
% 59.79/59.85 inference(scs_inference,[],[9722,22])).
% 59.79/59.85 cnf(9739,plain,
% 59.79/59.85 (P2(f3(a4,a4),f6(a1),f3(a4,a4))),
% 59.79/59.85 inference(scs_inference,[],[9722,9718,9698,9459,22,23,26])).
% 59.79/59.85 cnf(9745,plain,
% 59.79/59.85 (P4(f3(a4,a4),a5,f3(a5,a5))),
% 59.79/59.85 inference(scs_inference,[],[9722,9718,9689,9698,9459,9592,9475,9662,9441,9437,33,3632,22,23,26,25,24,30])).
% 59.79/59.85 cnf(9755,plain,
% 59.79/59.85 (~P2(f7(a1,a1),f3(a1,a1),a4)),
% 59.79/59.85 inference(scs_inference,[],[9745,9739,9702,9383,9447,22,23,26])).
% 59.79/59.85 cnf(9757,plain,
% 59.79/59.85 (P2(f7(a1,a1),f7(a2,a2),f7(a2,a2))),
% 59.79/59.85 inference(scs_inference,[],[9745,9739,9702,9383,9551,9447,22,23,26,25])).
% 59.79/59.85 cnf(9766,plain,
% 59.79/59.85 (P2(f7(a2,a2),f7(a1,a1),f7(a2,a2))),
% 59.79/59.85 inference(scs_inference,[],[9757,22])).
% 59.79/59.85 cnf(9768,plain,
% 59.79/59.85 (P4(a2,f3(a4,a4),f3(a2,a2))),
% 59.79/59.85 inference(scs_inference,[],[9757,9708,22,23])).
% 59.79/59.85 cnf(9770,plain,
% 59.79/59.85 (P2(f3(a1,a1),a4,f7(a4,a4))),
% 59.79/59.85 inference(scs_inference,[],[9757,9616,9708,9646,9683,22,23,26])).
% 59.79/59.85 cnf(9772,plain,
% 59.79/59.85 (~P2(f7(a4,a4),f3(a1,a1),f6(a1))),
% 59.79/59.85 inference(scs_inference,[],[9757,9724,9398,9616,9708,9646,9683,9367,22,23,26,25])).
% 59.79/59.85 cnf(9774,plain,
% 59.79/59.85 (~P4(a1,f6(a1),a4)),
% 59.79/59.85 inference(scs_inference,[],[9757,9724,9637,9398,9616,9708,9608,9646,9683,9363,9367,22,23,26,25,29])).
% 59.79/59.85 cnf(9790,plain,
% 59.79/59.85 (P2(a4,f3(a1,a1),f7(a4,a4))),
% 59.79/59.85 inference(scs_inference,[],[9770,22])).
% 59.79/59.85 cnf(9792,plain,
% 59.79/59.85 (P4(f7(a4,a4),f6(a4),f6(a4))),
% 59.79/59.85 inference(scs_inference,[],[9770,9536,22,23])).
% 59.79/59.85 cnf(9794,plain,
% 59.79/59.85 (~P2(f7(a1,a1),f7(a4,a4),f6(a1))),
% 59.79/59.85 inference(scs_inference,[],[9735,9772,9770,9536,9683,22,23,26])).
% 59.79/59.85 cnf(9803,plain,
% 59.79/59.85 (P4(a1,f3(a1,a1),f7(a1,a1))),
% 59.79/59.85 inference(scs_inference,[],[9498,9656,22,23])).
% 59.79/59.85 cnf(9805,plain,
% 59.79/59.85 (~P2(f6(a1),f7(a4,a4),f6(a1))),
% 59.79/59.85 inference(scs_inference,[],[9794,9735,9498,9704,9656,22,23,26])).
% 59.79/59.85 cnf(9807,plain,
% 59.79/59.85 (P2(f6(a1),f3(a2,a2),f3(a2,a2))),
% 59.79/59.85 inference(scs_inference,[],[9794,9735,9602,9498,9704,9656,22,23,26,25])).
% 59.79/59.85 cnf(9817,plain,
% 59.79/59.85 (~P2(a4,f3(a1,a1),f6(a1))),
% 59.79/59.85 inference(scs_inference,[],[9790,9807,9805,9766,9718,9441,22,26,25])).
% 59.79/59.85 cnf(9826,plain,
% 59.79/59.85 (P2(a4,f6(a4),f3(a1,a1))),
% 59.79/59.85 inference(scs_inference,[],[9616,22])).
% 59.79/59.85 cnf(9834,plain,
% 59.79/59.85 (P4(f3(a1,a1),f3(a1,a1),f7(a1,a1))),
% 59.79/59.85 inference(scs_inference,[],[9755,9803,9687,9481,9616,9483,9668,9361,9453,9375,22,26,25,8898,30])).
% 59.79/59.85 cnf(9840,plain,
% 59.79/59.85 (P2(f6(a1),f3(a1,a1),f3(a1,a1))),
% 59.79/59.85 inference(scs_inference,[],[9826,9551,9441,22,25])).
% 59.79/59.85 cnf(9850,plain,
% 59.79/59.85 (P2(f3(a1,a1),f6(a1),f3(a1,a1))),
% 59.79/59.85 inference(scs_inference,[],[9840,22])).
% 59.79/59.85 cnf(9852,plain,
% 59.79/59.85 (~P2(a1,f7(a1,a1),a4)),
% 59.79/59.85 inference(scs_inference,[],[9840,9532,9467,9034,22,25])).
% 59.79/59.85 cnf(9856,plain,
% 59.79/59.85 (P4(f3(a4,a4),a1,f3(a1,a1))),
% 59.79/59.85 inference(scs_inference,[],[9840,9532,9635,9664,9654,9467,9359,9375,9034,9437,22,25,26,30])).
% 59.79/59.85 cnf(9858,plain,
% 59.79/59.85 (P4(a1,f3(a4,a4),f3(a1,a1))),
% 59.79/59.85 inference(scs_inference,[],[9840,9532,9635,9664,9654,9467,9359,9375,9034,9437,22,25,26,30,23])).
% 59.79/59.85 cnf(9862,plain,
% 59.79/59.85 (P2(f3(a1,a1),f3(a2,a2),f3(a2,a2))),
% 59.79/59.85 inference(scs_inference,[],[9840,9532,9768,9635,9664,9654,9467,9377,9359,9453,9375,9363,9034,9437,22,25,26,30,23,8898,29])).
% 59.79/59.85 cnf(9868,plain,
% 59.79/59.85 (~P2(a4,f3(a1,a1),a1)),
% 59.79/59.85 inference(scs_inference,[],[9862,9850,9817,1322,22,25])).
% 59.79/59.85 cnf(9870,plain,
% 59.79/59.85 (~P2(f7(a4,a4),f7(a4,a4),f7(a4,a4))),
% 59.79/59.85 inference(scs_inference,[],[9862,9850,9817,9687,9624,9542,1322,22,25,26])).
% 59.79/59.85 cnf(9872,plain,
% 59.79/59.85 (P2(f3(a1,a1),f3(a1,a1),f3(a1,a1))),
% 59.79/59.85 inference(scs_inference,[],[9862,9850,9858,9817,9687,9624,9542,1322,1924,22,25,26,29])).
% 59.79/59.85 cnf(9879,plain,
% 59.79/59.85 (P2(f7(a1,a1),a1,f7(a1,a1))),
% 59.79/59.85 inference(scs_inference,[],[9423,22])).
% 59.79/59.85 cnf(9885,plain,
% 59.79/59.85 (P2(f3(a4,a4),f3(a1,a1),f3(a4,a4))),
% 59.79/59.85 inference(scs_inference,[],[7,9870,9858,9790,9459,9423,9367,9363,3017,22,25,26,29])).
% 59.79/59.85 cnf(9887,plain,
% 59.79/59.85 (P4(f3(a4,a4),f3(a1,a1),f3(a1,a1))),
% 59.79/59.85 inference(scs_inference,[],[7,9872,9870,9419,9858,9790,9459,9423,9367,9363,9437,3017,22,25,26,29,30])).
% 59.79/59.85 cnf(9898,plain,
% 59.79/59.85 (~P2(a1,f7(a4,a4),a1)),
% 59.79/59.85 inference(scs_inference,[],[9885,9868,9635,9826,9664,9571,9437,22,25,26])).
% 59.79/59.85 cnf(9900,plain,
% 59.79/59.85 (P2(f7(a1,a1),f3(a1,a1),f7(a1,a1))),
% 59.79/59.85 inference(scs_inference,[],[9885,9868,9879,9555,9635,9826,9858,9664,9571,9437,22,25,26,29])).
% 59.79/59.85 cnf(9902,plain,
% 59.79/59.85 (~P2(f6(a4),f7(a4,a4),f6(a4))),
% 59.79/59.85 inference(scs_inference,[],[9885,9868,9879,9555,9635,9826,9858,9664,9571,9437,22,25,26,29,1892])).
% 59.79/59.85 cnf(9913,plain,
% 59.79/59.85 (P2(f3(a1,a1),f7(a1,a1),f7(a1,a1))),
% 59.79/59.85 inference(scs_inference,[],[9900,22])).
% 59.79/59.85 cnf(9915,plain,
% 59.79/59.85 (~P2(f7(a1,a1),a4,f7(a1,a1))),
% 59.79/59.85 inference(scs_inference,[],[9900,9852,9387,9361,22,25])).
% 59.79/59.85 cnf(9917,plain,
% 59.79/59.85 (P2(f3(a5,a5),f3(a1,a1),f3(a5,a5))),
% 59.79/59.85 inference(scs_inference,[],[9900,9852,9553,9387,9361,22,25,26])).
% 59.79/59.85 cnf(9924,plain,
% 59.79/59.85 (P2(f3(a1,a1),f7(a2,a2),f7(a2,a2))),
% 59.79/59.85 inference(scs_inference,[],[9913,9917,9757,22,25])).
% 59.79/59.85 cnf(9926,plain,
% 59.79/59.85 (~P2(f7(a1,a1),f7(a4,a4),f7(a1,a1))),
% 59.79/59.85 inference(scs_inference,[],[9913,9917,9915,9757,9900,9770,22,25,26])).
% 59.79/59.85 cnf(9934,plain,
% 59.79/59.85 (~P2(f3(a1,a1),f7(a1,a1),a4)),
% 59.79/59.85 inference(scs_inference,[],[9924,9913,9852,9383,22,25])).
% 59.79/59.85 cnf(9936,plain,
% 59.79/59.85 (P2(f7(a5,a5),f7(a1,a1),f7(a5,a5))),
% 59.79/59.85 inference(scs_inference,[],[9924,9631,9913,9852,9383,9387,22,25,26])).
% 59.79/59.85 cnf(9938,plain,
% 59.79/59.85 (~P4(f3(a4,a4),f7(a4,a4),f7(a4,a4))),
% 59.79/59.85 inference(scs_inference,[],[9924,9631,9913,9870,9852,9383,9569,9387,9437,22,25,26,29])).
% 59.79/59.85 cnf(9949,plain,
% 59.79/59.85 (P2(f7(a1,a1),f7(a5,a5),f7(a5,a5))),
% 59.79/59.85 inference(scs_inference,[],[9936,22])).
% 59.79/59.85 cnf(9959,plain,
% 59.79/59.85 (P4(a1,f7(a4,a4),f7(a1,a1))),
% 59.79/59.85 inference(scs_inference,[],[9936,9926,9898,9934,9500,9872,9879,9502,9722,9504,9656,9465,9668,3017,22,25,26,30,29,23])).
% 59.79/59.85 cnf(9966,plain,
% 59.79/59.85 (P2(a4,f6(a4),a1)),
% 59.79/59.85 inference(scs_inference,[],[9429,22])).
% 59.79/59.85 cnf(9968,plain,
% 59.79/59.85 (P2(f3(a1,a1),f7(a5,a5),f7(a5,a5))),
% 59.79/59.85 inference(scs_inference,[],[9949,9913,9429,22,25])).
% 59.79/59.85 cnf(9980,plain,
% 59.79/59.85 (P2(f6(a1),f7(a5,a5),f7(a5,a5))),
% 59.79/59.85 inference(scs_inference,[],[9968,9840,22,25])).
% 59.79/59.85 cnf(9982,plain,
% 59.79/59.85 (P2(f3(a1,a1),f6(a4),f6(a4))),
% 59.79/59.85 inference(scs_inference,[],[9968,9966,9840,9616,3644,22,25,26])).
% 59.79/59.85 cnf(9986,plain,
% 59.79/59.85 (~P2(a4,a4,a4)),
% 59.79/59.85 inference(scs_inference,[],[9968,9938,9966,9959,9840,9870,9618,9735,9616,9569,3644,22,25,26,30,29])).
% 59.79/59.85 cnf(9997,plain,
% 59.79/59.85 (~P2(f3(a1,a1),f3(a1,a1),f6(a4))),
% 59.79/59.85 inference(scs_inference,[],[9986,9902,9980,9982,9624,9441,22,25,26])).
% 59.79/59.85 cnf(10001,plain,
% 59.79/59.85 (P2(f7(a1,a1),f7(a1,a1),f3(a1,a1))),
% 59.79/59.85 inference(scs_inference,[],[9986,9902,9980,9982,9774,9966,9959,9608,9624,9489,9375,9441,22,25,26,30,29])).
% 59.79/59.85 cnf(10007,plain,
% 59.79/59.85 (P2(f3(a1,a1),a5,a5)),
% 59.79/59.85 inference(scs_inference,[],[9982,9449,9913,22,25])).
% 59.79/59.85 cnf(10011,plain,
% 59.79/59.85 (P4(f3(a1,a1),f3(a1,a1),f3(a1,a1))),
% 59.79/59.85 inference(scs_inference,[],[10001,9805,9982,9834,9872,9449,9654,9913,1322,22,25,26,30])).
% 59.79/59.85 cnf(10015,plain,
% 59.79/59.85 (P2(a1,f3(a1,a1),a1)),
% 59.79/59.85 inference(scs_inference,[],[10001,9805,9915,9982,9739,9834,9872,9449,9654,9520,9913,1322,22,25,26,30,29,1892])).
% 59.79/59.85 cnf(10023,plain,
% 59.79/59.85 (P4(f3(a4,a4),f7(a1,a1),f3(a1,a1))),
% 59.79/59.85 inference(scs_inference,[],[10011,10015,9856,9803,22,28,27])).
% 59.79/59.85 cnf(10031,plain,
% 59.79/59.85 (P4(f3(a1,a1),f7(a1,a1),f7(a1,a1))),
% 59.79/59.85 inference(scs_inference,[],[10011,10015,9997,10001,9902,9581,9850,9792,9502,9518,9856,9803,22,28,27,25,26,29,23])).
% 59.79/59.85 cnf(10041,plain,
% 59.79/59.85 (P4(f3(a1,a1),f7(a1,a1),f3(a1,a1))),
% 59.79/59.85 inference(scs_inference,[],[10031,10023,10007,9887,23,22,28])).
% 59.79/59.85 cnf(10072,plain,
% 59.79/59.85 ($false),
% 59.79/59.85 inference(scs_inference,[],[10041,9538,9504,23,22]),
% 59.79/59.85 ['proof']).
% 59.79/59.85 % SZS output end Proof
% 59.79/59.85 % Total time :59.210000s
%------------------------------------------------------------------------------