TSTP Solution File: FLD030-3 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : FLD030-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 30 22:26:38 EDT 2023
% Result : Unsatisfiable 2.79s 2.92s
% Output : CNFRefutation 2.79s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : FLD030-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.11/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.14/0.34 % Computer : n005.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 28 00:44:23 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.21/0.57 start to proof:theBenchmark
% 2.79/2.91 %-------------------------------------------
% 2.79/2.91 % File :CSE---1.6
% 2.79/2.91 % Problem :theBenchmark
% 2.79/2.91 % Transform :cnf
% 2.79/2.91 % Format :tptp:raw
% 2.79/2.91 % Command :java -jar mcs_scs.jar %d %s
% 2.79/2.91
% 2.79/2.91 % Result :Theorem 2.290000s
% 2.79/2.91 % Output :CNFRefutation 2.290000s
% 2.79/2.91 %-------------------------------------------
% 2.79/2.91 %--------------------------------------------------------------------------
% 2.79/2.91 % File : FLD030-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 2.79/2.91 % Domain : Field Theory (Ordered fields)
% 2.79/2.92 % Problem : Compatibility of multiplication and equality relation
% 2.79/2.92 % Version : [Dra93] axioms : Especial.
% 2.79/2.92 % Theorem formulation : Functional with re axiom set.
% 2.79/2.92 % English :
% 2.79/2.92
% 2.79/2.92 % Refs : [Dra93] Draeger (1993), Anwendung des Theorembeweisers SETHEO
% 2.79/2.92 % Source : [Dra93]
% 2.79/2.92 % Names :
% 2.79/2.92
% 2.79/2.92 % Status : Unsatisfiable
% 2.79/2.92 % Rating : 0.00 v5.5.0, 0.12 v5.4.0, 0.10 v5.2.0, 0.00 v5.0.0, 0.07 v4.1.0, 0.00 v4.0.1, 0.20 v4.0.0, 0.14 v3.4.0, 0.25 v3.3.0, 0.33 v3.1.0, 0.17 v2.7.0, 0.00 v2.6.0, 0.33 v2.5.0, 0.00 v2.4.0, 0.00 v2.2.1, 0.33 v2.1.0
% 2.79/2.92 % Syntax : Number of clauses : 31 ( 8 unt; 3 nHn; 31 RR)
% 2.79/2.92 % Number of literals : 82 ( 0 equ; 50 neg)
% 2.79/2.92 % Maximal clause size : 5 ( 2 avg)
% 2.79/2.92 % Maximal term depth : 2 ( 1 avg)
% 2.79/2.92 % Number of predicates : 4 ( 4 usr; 0 prp; 1-3 aty)
% 2.79/2.92 % Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% 2.79/2.92 % Number of variables : 73 ( 0 sgn)
% 2.79/2.92 % SPC : CNF_UNS_RFO_NEQ_NHN
% 2.79/2.92
% 2.79/2.92 % Comments :
% 2.79/2.92 % Bugfixes : v2.1.0 - Bugfix in FLD002-0.ax
% 2.79/2.92 %--------------------------------------------------------------------------
% 2.79/2.92 include('Axioms/FLD002-0.ax').
% 2.79/2.92 %--------------------------------------------------------------------------
% 2.79/2.92 cnf(a_is_defined,hypothesis,
% 2.79/2.92 defined(a) ).
% 2.79/2.92
% 2.79/2.92 cnf(b_is_defined,hypothesis,
% 2.79/2.92 defined(b) ).
% 2.79/2.92
% 2.79/2.92 cnf(d_is_defined,hypothesis,
% 2.79/2.92 defined(d) ).
% 2.79/2.92
% 2.79/2.92 cnf(product_4,negated_conjecture,
% 2.79/2.92 product(multiplicative_identity,a,d) ).
% 2.79/2.92
% 2.79/2.92 cnf(not_product_5,negated_conjecture,
% 2.79/2.92 ~ product(d,b,multiply(a,b)) ).
% 2.79/2.92
% 2.79/2.92 %--------------------------------------------------------------------------
% 2.79/2.92 %-------------------------------------------
% 2.79/2.92 % Proof found
% 2.79/2.92 % SZS status Theorem for theBenchmark
% 2.79/2.92 % SZS output start Proof
% 2.79/2.92 %ClaNum:31(EqnAxiom:0)
% 2.79/2.92 %VarNum:162(SingletonVarNum:73)
% 2.79/2.92 %MaxLitNum:5
% 2.79/2.92 %MaxfuncDepth:1
% 2.79/2.92 %SharedTerms:14
% 2.79/2.92 %goalClause: 6 8
% 2.79/2.92 %singleGoalClaCount:2
% 2.79/2.92 [1]P1(a1)
% 2.79/2.92 [2]P1(a4)
% 2.79/2.92 [3]P1(a2)
% 2.79/2.92 [4]P1(a5)
% 2.79/2.92 [5]P1(a7)
% 2.79/2.92 [6]P2(a4,a2,a7)
% 2.79/2.92 [7]~P4(a1,a1,a4)
% 2.79/2.92 [8]~P2(a7,a5,f8(a2,a5))
% 2.79/2.92 [14]~P1(x141)+P4(a1,x141,x141)
% 2.79/2.92 [15]~P1(x151)+P2(a4,x151,x151)
% 2.79/2.92 [9]~P1(x91)+P1(f6(x91))
% 2.79/2.92 [16]~P1(x161)+P4(f6(x161),x161,a1)
% 2.79/2.92 [23]~P4(x232,x231,x233)+P4(x231,x232,x233)
% 2.79/2.92 [24]~P2(x242,x241,x243)+P2(x241,x242,x243)
% 2.79/2.92 [17]~P1(x171)+P4(a1,x171,a1)+P1(f9(x171))
% 2.79/2.92 [21]~P1(x211)+P2(f9(x211),x211,a4)+P4(a1,x211,a1)
% 2.79/2.92 [20]~P3(x202,x201)+~P3(x201,x202)+P4(a1,x201,x202)
% 2.79/2.92 [11]~P1(x112)+~P1(x111)+P1(f3(x111,x112))
% 2.79/2.92 [12]~P1(x122)+~P1(x121)+P1(f8(x121,x122))
% 2.79/2.92 [18]~P1(x182)+~P1(x181)+P4(x181,x182,f3(x181,x182))
% 2.79/2.92 [19]~P1(x192)+~P1(x191)+P2(x191,x192,f8(x191,x192))
% 2.79/2.92 [13]~P3(x131,x133)+P3(x131,x132)+~P3(x133,x132)
% 2.79/2.92 [10]P3(x102,x101)+~P1(x101)+~P1(x102)+P3(x101,x102)
% 2.79/2.92 [22]~P2(x223,x222,x221)+P3(a1,x221)+~P3(a1,x222)+~P3(a1,x223)
% 2.79/2.92 [25]~P4(x253,x255,x251)+P3(x251,x252)+~P4(x254,x255,x252)+~P3(x253,x254)
% 2.79/2.92 [26]~P4(x261,x266,x264)+P4(x261,x262,x263)+~P4(x264,x265,x263)+~P4(x266,x265,x262)
% 2.79/2.92 [27]~P4(x276,x274,x271)+P4(x271,x272,x273)+~P4(x274,x272,x275)+~P4(x276,x275,x273)
% 2.79/2.92 [28]~P2(x281,x286,x284)+P2(x281,x282,x283)+~P2(x284,x285,x283)+~P2(x286,x285,x282)
% 2.79/2.92 [29]~P2(x296,x294,x291)+P2(x291,x292,x293)+~P2(x294,x292,x295)+~P2(x296,x295,x293)
% 2.79/2.92 [30]~P2(x305,x307,x302)+~P2(x304,x307,x301)+P4(x301,x302,x303)+~P4(x304,x305,x306)+~P2(x306,x307,x303)
% 2.79/2.92 [31]~P2(x317,x312,x315)+~P2(x316,x312,x314)+P2(x311,x312,x313)+~P4(x314,x315,x313)+~P4(x316,x317,x311)
% 2.79/2.92 %EqnAxiom
% 2.79/2.92
% 2.79/2.92 %-------------------------------------------
% 2.79/2.93 cnf(32,plain,
% 2.79/2.93 (~P2(a5,a7,f8(a2,a5))),
% 2.79/2.93 inference(scs_inference,[],[8,24])).
% 2.79/2.93 cnf(33,plain,
% 2.79/2.93 (P3(a1,a1)),
% 2.79/2.93 inference(scs_inference,[],[1,8,24,10])).
% 2.79/2.93 cnf(34,plain,
% 2.79/2.93 (P2(a4,a1,a1)),
% 2.79/2.93 inference(scs_inference,[],[1,8,24,10,15])).
% 2.79/2.93 cnf(36,plain,
% 2.79/2.93 (P4(a1,a1,a1)),
% 2.79/2.93 inference(scs_inference,[],[1,8,24,10,15,14])).
% 2.79/2.93 cnf(38,plain,
% 2.79/2.93 (P4(f6(a1),a1,a1)),
% 2.79/2.93 inference(scs_inference,[],[1,8,24,10,15,14,16])).
% 2.79/2.93 cnf(40,plain,
% 2.79/2.93 (P1(f6(a1))),
% 2.79/2.93 inference(scs_inference,[],[1,8,24,10,15,14,16,9])).
% 2.79/2.93 cnf(42,plain,
% 2.79/2.93 (P2(a1,a1,f8(a1,a1))),
% 2.79/2.93 inference(scs_inference,[],[1,8,24,10,15,14,16,9,19])).
% 2.79/2.93 cnf(44,plain,
% 2.79/2.93 (P4(a1,a1,f3(a1,a1))),
% 2.79/2.93 inference(scs_inference,[],[1,8,24,10,15,14,16,9,19,18])).
% 2.79/2.93 cnf(46,plain,
% 2.79/2.93 (P1(f8(a1,a1))),
% 2.79/2.93 inference(scs_inference,[],[1,8,24,10,15,14,16,9,19,18,12])).
% 2.79/2.93 cnf(48,plain,
% 2.79/2.93 (P1(f3(a1,a1))),
% 2.79/2.93 inference(scs_inference,[],[1,8,24,10,15,14,16,9,19,18,12,11])).
% 2.79/2.93 cnf(52,plain,
% 2.79/2.93 (P2(a4,f8(a1,a1),f8(a1,a1))),
% 2.79/2.93 inference(scs_inference,[],[6,1,8,24,10,15,14,16,9,19,18,12,11,29,28])).
% 2.79/2.93 cnf(54,plain,
% 2.79/2.93 (~P4(f6(a1),a1,a4)),
% 2.79/2.93 inference(scs_inference,[],[6,1,7,8,24,10,15,14,16,9,19,18,12,11,29,28,27])).
% 2.79/2.93 cnf(56,plain,
% 2.79/2.93 (~P4(f3(a1,a1),a1,a4)),
% 2.79/2.93 inference(scs_inference,[],[6,1,7,8,24,10,15,14,16,9,19,18,12,11,29,28,27,26])).
% 2.79/2.93 cnf(58,plain,
% 2.79/2.93 (P3(f3(a1,a1),f3(a1,a1))),
% 2.79/2.93 inference(scs_inference,[],[6,1,7,8,24,10,15,14,16,9,19,18,12,11,29,28,27,26,25])).
% 2.79/2.93 cnf(60,plain,
% 2.79/2.93 (P3(a1,f8(a1,a1))),
% 2.79/2.93 inference(scs_inference,[],[6,1,7,8,24,10,15,14,16,9,19,18,12,11,29,28,27,26,25,22])).
% 2.79/2.93 cnf(62,plain,
% 2.79/2.93 (P4(f8(a1,a1),f8(a1,a1),f8(a1,a1))),
% 2.79/2.93 inference(scs_inference,[],[6,1,7,8,24,10,15,14,16,9,19,18,12,11,29,28,27,26,25,22,30])).
% 2.79/2.93 cnf(64,plain,
% 2.79/2.93 (~P4(a1,f6(a1),a4)),
% 2.79/2.93 inference(scs_inference,[],[6,1,7,8,24,10,15,14,16,9,19,18,12,11,29,28,27,26,25,22,30,23])).
% 2.79/2.93 cnf(66,plain,
% 2.79/2.93 (P4(a1,f3(a1,a1),f3(a1,a1))),
% 2.79/2.93 inference(scs_inference,[],[6,1,7,8,24,10,15,14,16,9,19,18,12,11,29,28,27,26,25,22,30,23,20])).
% 2.79/2.93 cnf(72,plain,
% 2.79/2.93 (~P4(a7,a7,x721)+~P4(a4,a4,x722)+P2(x722,a2,x721)),
% 2.79/2.93 inference(scs_inference,[],[6,1,2,7,8,24,10,15,14,16,9,19,18,12,11,29,28,27,26,25,22,30,23,20,21,17,31])).
% 2.79/2.93 cnf(74,plain,
% 2.79/2.93 (P4(f3(a1,a1),a1,f3(a1,a1))),
% 2.79/2.93 inference(scs_inference,[],[66,23])).
% 2.79/2.93 cnf(76,plain,
% 2.79/2.93 (P2(a2,a2,f8(a2,a2))),
% 2.79/2.93 inference(scs_inference,[],[3,66,23,19])).
% 2.79/2.93 cnf(78,plain,
% 2.79/2.93 (P4(a2,a2,f3(a2,a2))),
% 2.79/2.93 inference(scs_inference,[],[3,66,23,19,18])).
% 2.79/2.93 cnf(80,plain,
% 2.79/2.93 (P1(f3(a2,a2))),
% 2.79/2.93 inference(scs_inference,[],[3,66,23,19,18,11])).
% 2.79/2.93 cnf(82,plain,
% 2.79/2.93 (P2(a2,a4,a7)),
% 2.79/2.93 inference(scs_inference,[],[6,3,66,23,19,18,11,24])).
% 2.79/2.93 cnf(84,plain,
% 2.79/2.93 (P1(f8(a2,a2))),
% 2.79/2.93 inference(scs_inference,[],[6,3,66,23,19,18,11,24,12])).
% 2.79/2.93 cnf(86,plain,
% 2.79/2.93 (~P3(f8(a1,a1),x861)+P3(a1,x861)),
% 2.79/2.93 inference(scs_inference,[],[6,3,66,60,23,19,18,11,24,12,13])).
% 2.79/2.93 cnf(107,plain,
% 2.79/2.93 (~P4(a1,f3(a1,a1),a4)),
% 2.79/2.93 inference(scs_inference,[],[74,56,66,27])).
% 2.79/2.93 cnf(109,plain,
% 2.79/2.93 (~P2(x1091,a2,a2)+P2(x1091,a7,a7)),
% 2.79/2.93 inference(scs_inference,[],[74,82,56,66,27,28])).
% 2.79/2.93 cnf(135,plain,
% 2.79/2.93 (P4(f3(a1,a1),f3(a1,a1),f3(a1,a1))),
% 2.79/2.93 inference(scs_inference,[],[44,66,27])).
% 2.79/2.93 cnf(137,plain,
% 2.79/2.93 (~P2(f8(a1,a1),f8(a1,a1),x1371)+P3(a1,x1371)),
% 2.79/2.93 inference(scs_inference,[],[44,66,60,27,22])).
% 2.79/2.93 cnf(139,plain,
% 2.79/2.93 (P2(f3(a1,a1),a1,f8(a1,a1))),
% 2.79/2.93 inference(scs_inference,[],[42,44,66,60,62,27,22,31])).
% 2.79/2.93 cnf(144,plain,
% 2.79/2.93 (~P4(a1,x1441,f6(a1))+~P4(a1,x1441,a4)),
% 2.79/2.93 inference(scs_inference,[],[64,36,26])).
% 2.79/2.93 cnf(171,plain,
% 2.79/2.93 (P2(a1,f3(a1,a1),f8(a1,a1))),
% 2.79/2.93 inference(scs_inference,[],[139,24])).
% 2.79/2.93 cnf(173,plain,
% 2.79/2.93 (P4(a1,f6(a1),a1)),
% 2.79/2.93 inference(scs_inference,[],[139,38,24,23])).
% 2.79/2.93 cnf(175,plain,
% 2.79/2.93 (P2(f8(a2,a2),x1751,f8(a2,a2))+~P2(a2,x1751,a2)),
% 2.79/2.93 inference(scs_inference,[],[76,139,38,24,23,29])).
% 2.79/2.93 cnf(189,plain,
% 2.79/2.93 (~P4(f6(a1),f6(a1),x1891)+P4(a1,x1891,a1)+~P2(a2,a2,a2)),
% 2.79/2.93 inference(scs_inference,[],[4,76,139,38,60,24,23,29,28,11,19,18,12,20,26])).
% 2.79/2.93 cnf(195,plain,
% 2.79/2.93 (~P4(f8(a2,a2),f8(a2,a2),x1951)+~P2(a2,a2,a2)+P2(f3(a2,a2),a2,x1951)),
% 2.79/2.93 inference(scs_inference,[],[4,76,139,78,38,60,24,23,29,28,11,19,18,12,20,26,30,27,31])).
% 2.79/2.93 cnf(197,plain,
% 2.79/2.93 (P4(a4,a4,f3(a4,a4))),
% 2.79/2.93 inference(scs_inference,[],[2,18])).
% 2.79/2.93 cnf(199,plain,
% 2.79/2.93 (P1(f3(a4,a4))),
% 2.79/2.93 inference(scs_inference,[],[2,18,11])).
% 2.79/2.93 cnf(201,plain,
% 2.79/2.93 (P2(a4,a4,f8(a4,a4))),
% 2.79/2.93 inference(scs_inference,[],[2,18,11,19])).
% 2.79/2.93 cnf(203,plain,
% 2.79/2.93 (P1(f8(a4,a4))),
% 2.79/2.93 inference(scs_inference,[],[2,18,11,19,12])).
% 2.79/2.93 cnf(205,plain,
% 2.79/2.93 (~P2(f3(a4,a4),a1,a4)),
% 2.79/2.93 inference(scs_inference,[],[2,34,7,18,11,19,12,30])).
% 2.79/2.93 cnf(207,plain,
% 2.79/2.93 (P2(f3(a4,a4),f8(a1,a1),f8(a1,a1))),
% 2.79/2.93 inference(scs_inference,[],[2,34,7,52,62,18,11,19,12,30,31])).
% 2.79/2.93 cnf(227,plain,
% 2.79/2.93 (~P4(f3(a1,a1),f3(a1,a1),a4)),
% 2.79/2.93 inference(scs_inference,[],[107,135,66,26])).
% 2.79/2.93 cnf(229,plain,
% 2.79/2.93 (P2(a1,a4,a1)),
% 2.79/2.93 inference(scs_inference,[],[34,107,135,66,26,24])).
% 2.79/2.93 cnf(231,plain,
% 2.79/2.93 (P2(f3(a1,a1),a4,f3(a1,a1))),
% 2.79/2.93 inference(scs_inference,[],[34,107,135,44,66,26,24,31])).
% 2.79/2.93 cnf(251,plain,
% 2.79/2.93 (P2(f8(a4,a4),a1,a1)),
% 2.79/2.93 inference(scs_inference,[],[34,201,29])).
% 2.79/2.93 cnf(253,plain,
% 2.79/2.93 (~P2(a1,a4,a4)),
% 2.79/2.93 inference(scs_inference,[],[36,34,7,229,201,29,30])).
% 2.79/2.93 cnf(255,plain,
% 2.79/2.93 (~P2(a4,a1,a4)),
% 2.79/2.93 inference(scs_inference,[],[36,34,7,229,201,29,30,24])).
% 2.79/2.93 cnf(257,plain,
% 2.79/2.93 (P2(f3(a4,a4),a1,a1)),
% 2.79/2.93 inference(scs_inference,[],[36,34,7,229,201,197,29,30,24,31])).
% 2.79/2.93 cnf(259,plain,
% 2.79/2.93 (P2(a4,a2,a2)),
% 2.79/2.93 inference(scs_inference,[],[3,36,34,7,229,201,197,29,30,24,31,15])).
% 2.79/2.93 cnf(261,plain,
% 2.79/2.93 (P4(a1,a2,a2)),
% 2.79/2.93 inference(scs_inference,[],[3,36,34,7,229,201,197,29,30,24,31,15,14])).
% 2.79/2.93 cnf(263,plain,
% 2.79/2.93 (P1(f6(a2))),
% 2.79/2.93 inference(scs_inference,[],[3,36,34,7,229,201,197,29,30,24,31,15,14,9])).
% 2.79/2.93 cnf(265,plain,
% 2.79/2.93 (P4(f6(a2),a2,a1)),
% 2.79/2.93 inference(scs_inference,[],[3,36,34,7,229,201,197,29,30,24,31,15,14,9,16])).
% 2.79/2.93 cnf(269,plain,
% 2.79/2.93 (~P2(f8(a4,a4),a1,a4)),
% 2.79/2.93 inference(scs_inference,[],[3,36,34,7,229,201,197,29,30,24,31,15,14,9,16,20,28])).
% 2.79/2.93 cnf(290,plain,
% 2.79/2.93 (P4(a1,f3(a2,a2),f3(a2,a2))),
% 2.79/2.93 inference(scs_inference,[],[261,78,26])).
% 2.79/2.93 cnf(292,plain,
% 2.79/2.93 (P2(f8(a1,a1),a4,f8(a1,a1))),
% 2.79/2.93 inference(scs_inference,[],[231,261,171,78,26,29])).
% 2.79/2.93 cnf(294,plain,
% 2.79/2.93 (P2(a4,f8(a2,a2),f8(a2,a2))),
% 2.79/2.93 inference(scs_inference,[],[259,231,261,171,76,78,26,29,28])).
% 2.79/2.93 cnf(296,plain,
% 2.79/2.93 (~P2(f3(a1,a1),a4,a4)),
% 2.79/2.93 inference(scs_inference,[],[259,231,261,227,171,76,135,78,26,29,28,30])).
% 2.79/2.93 cnf(298,plain,
% 2.79/2.93 (P2(a2,a4,a2)),
% 2.79/2.93 inference(scs_inference,[],[259,231,261,227,171,76,135,78,26,29,28,30,24])).
% 2.79/2.93 cnf(300,plain,
% 2.79/2.93 (P4(a2,f6(a2),a1)),
% 2.79/2.93 inference(scs_inference,[],[259,231,265,261,227,171,76,135,78,26,29,28,30,24,23])).
% 2.79/2.93 cnf(302,plain,
% 2.79/2.93 (P2(f8(a2,a2),a4,f8(a2,a2))),
% 2.79/2.93 inference(scs_inference,[],[259,231,265,261,227,171,76,135,78,26,29,28,30,24,23,175])).
% 2.79/2.93 cnf(310,plain,
% 2.79/2.93 (~P4(x3101,x3102,a5)+~P4(x3103,x3104,f8(a2,a5))+~P2(x3102,a7,x3104)+~P2(x3101,a7,x3103)),
% 2.79/2.93 inference(scs_inference,[],[3,32,259,231,265,261,227,171,76,135,78,60,26,29,28,30,24,23,175,10,27,20,31])).
% 2.79/2.93 cnf(312,plain,
% 2.79/2.93 (P4(f6(a1),f3(a2,a2),f3(a2,a2))),
% 2.79/2.93 inference(scs_inference,[],[38,290,26])).
% 2.79/2.93 cnf(314,plain,
% 2.79/2.93 (~P2(f3(a1,a1),f8(a4,a4),a4)),
% 2.79/2.93 inference(scs_inference,[],[38,290,296,201,231,26,29])).
% 2.79/2.93 cnf(316,plain,
% 2.79/2.93 (P2(f8(a1,a1),f8(a4,a4),f8(a1,a1))),
% 2.79/2.93 inference(scs_inference,[],[38,292,290,296,201,231,26,29,28])).
% 2.79/2.93 cnf(318,plain,
% 2.79/2.93 (P4(a1,a7,a7)),
% 2.79/2.93 inference(scs_inference,[],[38,292,290,296,229,261,201,231,82,26,29,28,30])).
% 2.79/2.93 cnf(320,plain,
% 2.79/2.93 (P2(f3(a2,a2),a4,f3(a2,a2))),
% 2.79/2.93 inference(scs_inference,[],[38,292,290,296,298,229,261,201,231,82,78,26,29,28,30,31])).
% 2.79/2.93 cnf(326,plain,
% 2.79/2.93 (P1(f8(a5,a5))),
% 2.79/2.93 inference(scs_inference,[],[4,38,292,290,296,298,229,261,201,231,82,78,26,29,28,30,31,24,18,12])).
% 2.79/2.93 cnf(328,plain,
% 2.79/2.93 (P1(f3(a5,a5))),
% 2.79/2.93 inference(scs_inference,[],[4,38,292,290,296,298,229,261,201,231,82,78,26,29,28,30,31,24,18,12,11])).
% 2.79/2.93 cnf(336,plain,
% 2.79/2.93 (~P4(f3(a1,a1),f6(a1),a4)),
% 2.79/2.93 inference(scs_inference,[],[4,38,292,290,296,298,229,261,107,201,231,82,66,78,60,26,29,28,30,31,24,18,12,11,19,20,27,23])).
% 2.79/2.93 cnf(338,plain,
% 2.79/2.93 (P4(a7,a7,f3(a7,a7))),
% 2.79/2.93 inference(scs_inference,[],[5,18])).
% 2.79/2.93 cnf(340,plain,
% 2.79/2.93 (P1(f8(a7,a7))),
% 2.79/2.93 inference(scs_inference,[],[5,18,12])).
% 2.79/2.93 cnf(342,plain,
% 2.79/2.93 (P2(a7,a7,f8(a7,a7))),
% 2.79/2.93 inference(scs_inference,[],[5,18,12,19])).
% 2.79/2.93 cnf(344,plain,
% 2.79/2.93 (P1(f3(a7,a7))),
% 2.79/2.93 inference(scs_inference,[],[5,18,12,19,11])).
% 2.79/2.93 cnf(346,plain,
% 2.79/2.93 (~P4(a2,f6(a2),a4)),
% 2.79/2.93 inference(scs_inference,[],[5,7,300,261,18,12,19,11,26])).
% 2.79/2.93 cnf(348,plain,
% 2.79/2.93 (P2(a7,a4,a7)),
% 2.79/2.93 inference(scs_inference,[],[5,7,300,298,261,6,18,12,19,11,26,29])).
% 2.79/2.93 cnf(350,plain,
% 2.79/2.93 (P2(f3(a4,a4),a2,f3(a7,a7))),
% 2.79/2.94 inference(scs_inference,[],[5,7,300,298,261,197,6,18,12,19,11,26,29,31])).
% 2.79/2.94 cnf(352,plain,
% 2.79/2.94 (P4(f3(a2,a2),f6(a1),f3(a2,a2))),
% 2.79/2.94 inference(scs_inference,[],[5,7,312,300,298,261,197,6,18,12,19,11,26,29,31,23])).
% 2.79/2.94 cnf(354,plain,
% 2.79/2.94 (P2(f8(a4,a4),f8(a1,a1),f8(a1,a1))),
% 2.79/2.94 inference(scs_inference,[],[5,7,316,312,300,298,261,197,6,18,12,19,11,26,29,31,23,24])).
% 2.79/2.94 cnf(358,plain,
% 2.79/2.94 (P4(a2,a2,f3(a7,a7))),
% 2.79/2.94 inference(scs_inference,[],[5,7,316,312,300,298,261,259,197,6,18,12,19,11,26,29,31,23,24,310,30])).
% 2.79/2.94 cnf(368,plain,
% 2.79/2.94 (P2(f8(a4,a4),f8(a2,a2),f8(a2,a2))),
% 2.79/2.94 inference(scs_inference,[],[294,201,29])).
% 2.79/2.94 cnf(370,plain,
% 2.79/2.94 (P2(f3(a7,a7),a4,f3(a7,a7))),
% 2.79/2.94 inference(scs_inference,[],[294,358,298,201,29,31])).
% 2.79/2.94 cnf(372,plain,
% 2.79/2.94 (~P4(f6(a2),a2,a4)),
% 2.79/2.94 inference(scs_inference,[],[294,358,346,298,201,29,31,23])).
% 2.79/2.94 cnf(374,plain,
% 2.79/2.94 (~P2(f8(a4,a4),f3(a1,a1),a4)),
% 2.79/2.94 inference(scs_inference,[],[314,294,358,346,298,201,29,31,23,24])).
% 2.79/2.94 cnf(376,plain,
% 2.79/2.94 (P2(a4,a7,a7)),
% 2.79/2.94 inference(scs_inference,[],[314,294,358,346,298,259,201,29,31,23,24,109])).
% 2.79/2.94 cnf(378,plain,
% 2.79/2.94 (P2(a4,f6(a1),f6(a1))),
% 2.79/2.94 inference(scs_inference,[],[40,314,294,358,346,298,259,201,29,31,23,24,109,15])).
% 2.79/2.94 cnf(380,plain,
% 2.79/2.94 (P1(f6(a7))),
% 2.79/2.94 inference(scs_inference,[],[5,40,314,294,358,346,298,259,201,29,31,23,24,109,15,9])).
% 2.79/2.94 cnf(382,plain,
% 2.79/2.94 (P4(f6(a7),a7,a1)),
% 2.79/2.94 inference(scs_inference,[],[5,40,314,294,358,346,298,259,201,29,31,23,24,109,15,9,16])).
% 2.79/2.94 cnf(384,plain,
% 2.79/2.94 (P4(a1,f6(a1),f6(a1))),
% 2.79/2.94 inference(scs_inference,[],[5,40,314,294,358,346,298,259,201,29,31,23,24,109,15,9,16,14])).
% 2.79/2.94 cnf(403,plain,
% 2.79/2.94 (P4(a1,f3(a7,a7),f3(a7,a7))),
% 2.79/2.94 inference(scs_inference,[],[318,338,26])).
% 2.79/2.94 cnf(405,plain,
% 2.79/2.94 (P2(a4,f8(a7,a7),f8(a7,a7))),
% 2.79/2.94 inference(scs_inference,[],[376,342,318,338,26,28])).
% 2.79/2.94 cnf(409,plain,
% 2.79/2.94 (P4(a7,f6(a7),a1)),
% 2.79/2.94 inference(scs_inference,[],[376,382,342,318,338,348,26,28,29,23])).
% 2.79/2.94 cnf(411,plain,
% 2.79/2.94 (P2(a2,f3(a4,a4),f3(a7,a7))),
% 2.79/2.94 inference(scs_inference,[],[350,376,382,342,318,338,348,26,28,29,23,24])).
% 2.79/2.94 cnf(421,plain,
% 2.79/2.94 (P2(f3(a7,a7),f8(a4,a4),f3(a7,a7))),
% 2.79/2.94 inference(scs_inference,[],[370,201,28])).
% 2.79/2.94 cnf(423,plain,
% 2.79/2.94 (~P2(a1,f8(a4,a4),a4)),
% 2.79/2.94 inference(scs_inference,[],[370,269,201,28,24])).
% 2.79/2.94 cnf(427,plain,
% 2.79/2.94 (~P4(a1,x4271,a4)+~P4(x4271,f6(a2),f6(a2))),
% 2.79/2.94 inference(scs_inference,[],[370,269,372,265,201,28,24,27,23])).
% 2.79/2.94 cnf(441,plain,
% 2.79/2.94 (P4(a1,f8(a2,a2),f8(a2,a2))),
% 2.79/2.94 inference(scs_inference,[],[84,14])).
% 2.79/2.94 cnf(443,plain,
% 2.79/2.94 (~P4(a7,f6(a7),a4)),
% 2.79/2.94 inference(scs_inference,[],[7,84,409,318,14,26])).
% 2.79/2.94 cnf(445,plain,
% 2.79/2.94 (P4(f3(a7,a7),a1,f3(a7,a7))),
% 2.79/2.94 inference(scs_inference,[],[7,84,403,409,318,14,26,23])).
% 2.79/2.94 cnf(447,plain,
% 2.79/2.94 (P2(f3(a4,a4),a7,f3(a7,a7))),
% 2.79/2.94 inference(scs_inference,[],[7,84,403,409,318,338,376,197,14,26,23,31])).
% 2.79/2.94 cnf(455,plain,
% 2.79/2.94 (P4(f6(a1),f6(a1),f3(f6(a1),f6(a1)))),
% 2.79/2.94 inference(scs_inference,[],[7,40,368,84,403,409,318,338,376,197,14,26,23,31,24,12,11,18])).
% 2.79/2.94 cnf(461,plain,
% 2.79/2.94 (P4(f3(f6(a1),f6(a1)),a1,a1)),
% 2.79/2.94 inference(scs_inference,[],[7,40,38,368,80,84,403,409,318,338,376,197,14,26,23,31,24,12,11,18,10,19,27])).
% 2.79/2.94 cnf(473,plain,
% 2.79/2.94 (P2(f3(a4,a4),f3(a4,a4),f8(f3(a4,a4),f3(a4,a4)))),
% 2.79/2.94 inference(scs_inference,[],[199,11,18,19])).
% 2.79/2.94 cnf(479,plain,
% 2.79/2.94 (P4(f3(a1,a1),f8(a2,a2),f8(a2,a2))),
% 2.79/2.94 inference(scs_inference,[],[44,199,441,257,7,11,18,19,12,30,27])).
% 2.79/2.94 cnf(481,plain,
% 2.79/2.94 (P2(f3(a4,a4),a1,f3(a1,a1))),
% 2.79/2.94 inference(scs_inference,[],[44,34,199,441,257,197,7,11,18,19,12,30,27,31])).
% 2.79/2.94 cnf(485,plain,
% 2.79/2.94 (~P2(a1,f3(f3(a4,a4),f3(a4,a4)),a4)),
% 2.79/2.94 inference(scs_inference,[],[44,34,199,441,443,257,197,7,11,18,19,12,30,27,31,23,24])).
% 2.79/2.94 cnf(491,plain,
% 2.79/2.94 (P4(f6(f6(a1)),f6(a1),a1)),
% 2.79/2.94 inference(scs_inference,[],[44,40,34,199,455,441,443,257,197,7,11,18,19,12,30,27,31,23,24,189,9,16])).
% 2.79/2.94 cnf(493,plain,
% 2.79/2.94 (P2(a4,f3(a4,a4),f3(a4,a4))),
% 2.79/2.94 inference(scs_inference,[],[44,40,34,199,455,441,443,257,197,7,11,18,19,12,30,27,31,23,24,189,9,16,15])).
% 2.79/2.94 cnf(503,plain,
% 2.79/2.94 (~P4(f6(a1),f6(a1),a4)),
% 2.79/2.94 inference(scs_inference,[],[38,384,64,27])).
% 2.79/2.94 cnf(505,plain,
% 2.79/2.94 (P2(f8(a4,a4),f3(a4,a4),f3(a4,a4))),
% 2.79/2.94 inference(scs_inference,[],[38,493,384,64,201,27,29])).
% 2.79/2.94 cnf(507,plain,
% 2.79/2.94 (P4(a1,f3(f6(a1),f6(a1)),a1)),
% 2.79/2.94 inference(scs_inference,[],[38,461,493,384,64,201,27,29,23])).
% 2.79/2.94 cnf(509,plain,
% 2.79/2.94 (P2(a4,f3(a1,a1),f3(a1,a1))),
% 2.79/2.94 inference(scs_inference,[],[38,461,481,493,384,64,201,27,29,23,28])).
% 2.79/2.94 cnf(515,plain,
% 2.79/2.94 (~P2(f3(f6(a1),f6(a1)),a1,x5151)+P4(x5151,f8(a1,a1),f8(a1,a1))),
% 2.79/2.94 inference(scs_inference,[],[42,38,421,461,479,481,493,58,384,64,201,27,29,23,28,24,25,30])).
% 2.79/2.94 cnf(527,plain,
% 2.79/2.94 (P2(a4,f3(a7,a7),f3(a7,a7))),
% 2.79/2.94 inference(scs_inference,[],[411,259,28])).
% 2.79/2.94 cnf(535,plain,
% 2.79/2.94 (~P3(f3(a7,a7),f3(a7,a7))+~P4(x5351,f6(a7),f6(a7))+P4(x5351,a1,a1)),
% 2.79/2.94 inference(scs_inference,[],[505,411,491,503,445,382,259,28,25,30,27,26])).
% 2.79/2.94 cnf(541,plain,
% 2.79/2.94 (~P3(f3(a7,a7),f3(a7,a7))+~P4(a1,x5411,a4)+~P4(x5411,f6(f6(a1)),f6(a1))),
% 2.79/2.94 inference(scs_inference,[],[36,34,505,411,491,503,485,445,382,259,28,25,30,27,26,31,29,23])).
% 2.79/2.94 cnf(545,plain,
% 2.79/2.94 (P4(f3(a4,a4),f3(a4,a4),f8(f3(a4,a4),f3(a4,a4)))),
% 2.79/2.94 inference(scs_inference,[],[473,493,197,30])).
% 2.79/2.94 cnf(547,plain,
% 2.79/2.94 (P4(a1,f6(a1),f3(f6(a1),f6(a1)))),
% 2.79/2.94 inference(scs_inference,[],[38,473,455,493,384,197,30,27])).
% 2.79/2.94 cnf(549,plain,
% 2.79/2.94 (P2(f8(f3(a4,a4),f3(a4,a4)),a1,a1)),
% 2.79/2.94 inference(scs_inference,[],[38,473,257,455,493,384,197,30,27,29])).
% 2.79/2.94 cnf(551,plain,
% 2.79/2.94 (P4(f6(f6(a1)),a1,a1)),
% 2.79/2.94 inference(scs_inference,[],[36,38,473,491,257,455,493,384,197,30,27,29,26])).
% 2.79/2.94 cnf(553,plain,
% 2.79/2.94 (P4(f6(a1),f6(f6(a1)),a1)),
% 2.79/2.94 inference(scs_inference,[],[36,38,473,491,257,455,493,384,197,30,27,29,26,23])).
% 2.79/2.94 cnf(555,plain,
% 2.79/2.94 (~P2(f8(f3(a4,a4),f3(a4,a4)),a1,a4)),
% 2.79/2.94 inference(scs_inference,[],[36,38,473,491,205,257,455,493,384,197,30,27,29,26,23,28])).
% 2.79/2.94 cnf(557,plain,
% 2.79/2.94 (P2(a7,f3(a4,a4),f3(a7,a7))),
% 2.79/2.94 inference(scs_inference,[],[36,38,447,473,491,205,257,455,493,384,197,30,27,29,26,23,28,24])).
% 2.79/2.94 cnf(570,plain,
% 2.79/2.94 (P4(a1,f8(a1,a1),f8(a1,a1))),
% 2.79/2.94 inference(scs_inference,[],[46,10,20])).
% 2.79/2.94 cnf(572,plain,
% 2.79/2.94 (~P2(f3(a4,a4),f6(a1),a4)),
% 2.79/2.94 inference(scs_inference,[],[46,378,503,197,10,20,30])).
% 2.79/2.94 cnf(574,plain,
% 2.79/2.94 (~P4(a1,f3(f6(a1),f6(a1)),a4)),
% 2.79/2.94 inference(scs_inference,[],[46,36,547,378,503,64,197,10,20,30,27])).
% 2.79/2.94 cnf(576,plain,
% 2.79/2.94 (P4(f3(a2,a2),f3(f6(a1),f6(a1)),f3(a2,a2))),
% 2.79/2.94 inference(scs_inference,[],[46,36,547,378,503,352,455,64,197,10,20,30,27,26])).
% 2.79/2.94 cnf(578,plain,
% 2.79/2.94 (P2(f3(a4,a4),f3(a1,a1),f3(a1,a1))),
% 2.79/2.94 inference(scs_inference,[],[46,36,547,509,378,503,352,455,64,135,197,10,20,30,27,26,31])).
% 2.79/2.94 cnf(586,plain,
% 2.79/2.94 (P4(f6(f3(a1,a1)),f3(a1,a1),a1)),
% 2.79/2.94 inference(scs_inference,[],[48,46,36,547,555,509,378,503,352,455,64,135,197,10,20,30,27,26,31,23,24,9,16])).
% 2.79/2.94 cnf(588,plain,
% 2.79/2.94 (P2(a4,f8(a5,a5),f8(a5,a5))),
% 2.79/2.94 inference(scs_inference,[],[48,46,36,326,547,555,509,378,503,352,455,64,135,197,10,20,30,27,26,31,23,24,9,16,15])).
% 2.79/2.94 cnf(594,plain,
% 2.79/2.94 (P4(f3(a1,a1),f3(a1,a1),f3(f3(a1,a1),f3(a1,a1)))),
% 2.79/2.94 inference(scs_inference,[],[48,46,36,326,547,555,509,378,503,352,455,64,135,197,10,20,30,27,26,31,23,24,9,16,15,12,11,18])).
% 2.79/2.94 cnf(596,plain,
% 2.79/2.94 (P2(f3(a1,a1),f3(a1,a1),f8(f3(a1,a1),f3(a1,a1)))),
% 2.79/2.94 inference(scs_inference,[],[48,46,36,326,547,555,509,378,503,352,455,64,135,197,10,20,30,27,26,31,23,24,9,16,15,12,11,18,19])).
% 2.79/2.94 cnf(600,plain,
% 2.79/2.94 (~P2(f3(a4,a4),f3(a1,a1),a4)),
% 2.79/2.94 inference(scs_inference,[],[48,46,36,326,557,547,555,509,374,505,378,503,352,455,64,135,197,10,20,30,27,26,31,23,24,9,16,15,12,11,18,19,29,28])).
% 2.79/2.94 cnf(602,plain,
% 2.79/2.94 (P3(f3(a7,a7),f3(a7,a7))),
% 2.79/2.94 inference(scs_inference,[],[48,46,36,326,557,547,555,509,374,505,378,503,403,352,455,64,135,33,197,10,20,30,27,26,31,23,24,9,16,15,12,11,18,19,29,28,25])).
% 2.79/2.94 cnf(606,plain,
% 2.79/2.94 (~P4(x6061,f6(a7),f6(a7))+P4(x6061,a1,a1)),
% 2.79/2.94 inference(scs_inference,[],[602,535])).
% 2.79/2.94 cnf(609,plain,
% 2.79/2.94 (~P4(x6091,f6(f6(a1)),f6(a1))+~P4(a1,x6091,a4)),
% 2.79/2.94 inference(scs_inference,[],[602,541])).
% 2.79/2.94 cnf(615,plain,
% 2.79/2.94 (P4(f8(a1,a1),f8(a1,a1),f3(f8(a1,a1),f8(a1,a1)))),
% 2.79/2.94 inference(scs_inference,[],[46,12,11,18])).
% 2.79/2.94 cnf(619,plain,
% 2.79/2.94 (~P4(f6(f6(a1)),a1,a4)),
% 2.79/2.94 inference(scs_inference,[],[46,551,574,507,12,11,18,19,27])).
% 2.79/2.94 cnf(621,plain,
% 2.79/2.94 (~P2(f8(f3(a4,a4),f3(a4,a4)),f3(a1,a1),a4)),
% 2.79/2.94 inference(scs_inference,[],[46,545,578,551,574,507,227,12,11,18,19,27,30])).
% 2.79/2.94 cnf(623,plain,
% 2.79/2.94 (P2(f8(f3(a4,a4),f3(a4,a4)),f3(a1,a1),f3(a1,a1))),
% 2.79/2.94 inference(scs_inference,[],[46,545,578,551,574,507,227,473,12,11,18,19,27,30,29])).
% 2.79/2.94 cnf(625,plain,
% 2.79/2.94 (P2(f3(a4,a4),f3(a1,a1),f3(f3(a1,a1),f3(a1,a1)))),
% 2.79/2.94 inference(scs_inference,[],[46,545,594,578,551,574,507,509,227,473,197,12,11,18,19,27,30,29,31])).
% 2.79/2.94 cnf(629,plain,
% 2.79/2.94 (P2(f3(a1,a1),f3(a4,a4),f3(a1,a1))),
% 2.79/2.94 inference(scs_inference,[],[46,545,594,578,576,551,574,507,509,227,473,197,12,11,18,19,27,30,29,31,23,24])).
% 2.79/2.94 cnf(631,plain,
% 2.79/2.94 (P3(a1,f8(f8(a1,a1),f8(a1,a1)))),
% 2.79/2.94 inference(scs_inference,[],[46,545,594,578,576,551,574,507,509,227,473,197,12,11,18,19,27,30,29,31,23,24,137])).
% 2.79/2.94 cnf(633,plain,
% 2.79/2.94 (P4(a1,f6(a2),f6(a2))),
% 2.79/2.94 inference(scs_inference,[],[46,545,594,578,576,551,263,574,507,509,227,473,197,12,11,18,19,27,30,29,31,23,24,137,14])).
% 2.79/2.94 cnf(639,plain,
% 2.79/2.94 (P2(f8(a4,a4),f3(a1,a1),f3(a1,a1))),
% 2.79/2.94 inference(scs_inference,[],[46,545,594,578,576,551,263,574,507,509,227,505,318,473,33,197,12,11,18,19,27,30,29,31,23,24,137,14,10,25,28])).
% 2.79/2.94 cnf(645,plain,
% 2.79/2.94 (P4(f8(a1,a1),f8(a1,a1),f8(f3(a1,a1),f3(a1,a1)))),
% 2.79/2.94 inference(scs_inference,[],[44,596,171,30])).
% 2.79/2.94 cnf(647,plain,
% 2.79/2.94 (~P4(a1,f6(f6(a1)),a4)),
% 2.79/2.94 inference(scs_inference,[],[44,596,619,553,491,171,30,26])).
% 2.79/2.94 cnf(649,plain,
% 2.79/2.94 (~P2(f3(a1,a1),f3(a4,a4),a4)),
% 2.79/2.94 inference(scs_inference,[],[44,596,623,629,621,619,553,491,171,30,26,28])).
% 2.79/2.94 cnf(655,plain,
% 2.79/2.94 (P4(f3(a1,a1),a1,f3(f3(a1,a1),f3(a1,a1)))),
% 2.79/2.94 inference(scs_inference,[],[44,596,623,629,572,621,619,553,594,447,491,171,74,30,26,28,24,310,27])).
% 2.79/2.94 cnf(657,plain,
% 2.79/2.94 (~P2(f3(a4,a4),f3(f3(a1,a1),f3(a1,a1)),a4)),
% 2.79/2.94 inference(scs_inference,[],[44,596,623,625,629,572,621,619,553,594,447,491,171,74,473,30,26,28,24,310,27,29])).
% 2.79/2.94 cnf(659,plain,
% 2.79/2.94 (P4(f6(a2),a1,f6(a2))),
% 2.79/2.94 inference(scs_inference,[],[44,596,623,625,629,572,633,621,619,553,594,447,491,171,74,473,30,26,28,24,310,27,29,23])).
% 2.79/2.94 cnf(673,plain,
% 2.79/2.94 (P2(f8(f3(a4,a4),f3(a4,a4)),f8(a1,a1),f8(a1,a1))),
% 2.79/2.94 inference(scs_inference,[],[42,655,600,549,625,336,505,384,29,26,23,28])).
% 2.79/2.94 cnf(675,plain,
% 2.79/2.94 (P2(f3(a1,a1),f8(a4,a4),f3(a1,a1))),
% 2.79/2.94 inference(scs_inference,[],[42,639,655,600,549,625,336,505,384,29,26,23,28,24])).
% 2.79/2.94 cnf(679,plain,
% 2.79/2.94 (~P4(f3(a1,a1),f3(f6(a1),f6(a1)),a4)),
% 2.79/2.94 inference(scs_inference,[],[42,639,655,600,549,625,547,336,631,505,384,29,26,23,28,24,20,27])).
% 2.79/2.94 cnf(687,plain,
% 2.79/2.94 (P4(f3(f6(a1),f6(a1)),a1,f3(a1,a1))),
% 2.79/2.94 inference(scs_inference,[],[38,44,547,27])).
% 2.79/2.94 cnf(689,plain,
% 2.79/2.94 (P4(f6(a1),f3(a1,a1),f3(a1,a1))),
% 2.79/2.94 inference(scs_inference,[],[38,44,547,27,26])).
% 2.79/2.94 cnf(691,plain,
% 2.79/2.94 (P4(f3(a1,a1),f6(f3(a1,a1)),a1)),
% 2.79/2.94 inference(scs_inference,[],[38,44,586,547,27,26,23])).
% 2.79/2.94 cnf(695,plain,
% 2.79/2.94 (P4(f6(f8(a1,a1)),f8(a1,a1),a1)),
% 2.79/2.94 inference(scs_inference,[],[38,46,44,657,586,547,27,26,23,24,16])).
% 2.79/2.94 cnf(699,plain,
% 2.79/2.94 (P2(a4,f3(a5,a5),f3(a5,a5))),
% 2.79/2.94 inference(scs_inference,[],[38,46,44,657,586,328,547,27,26,23,24,16,9,15])).
% 2.79/2.94 cnf(703,plain,
% 2.79/2.94 (P2(f3(a4,a4),f8(a1,a1),f3(f8(a1,a1),f8(a1,a1)))),
% 2.79/2.94 inference(scs_inference,[],[38,52,46,44,615,657,586,328,647,547,197,27,26,23,24,16,9,15,20,31])).
% 2.79/2.94 cnf(715,plain,
% 2.79/2.94 (P4(f3(a1,a1),f3(f6(a1),f6(a1)),f3(a1,a1))),
% 2.79/2.94 inference(scs_inference,[],[44,507,27])).
% 2.79/2.94 cnf(719,plain,
% 2.79/2.94 (P2(f3(a4,a4),f8(a1,a1),f8(f3(a1,a1),f3(a1,a1)))),
% 2.79/2.94 inference(scs_inference,[],[52,44,645,507,594,675,227,197,27,30,31])).
% 2.79/2.94 cnf(721,plain,
% 2.79/2.94 (P2(f3(a1,a1),a1,f3(f8(a1,a1),f8(a1,a1)))),
% 2.79/2.94 inference(scs_inference,[],[52,42,44,645,703,481,507,594,675,227,197,27,30,31,29])).
% 2.79/2.94 cnf(725,plain,
% 2.79/2.94 (P4(f6(a1),f8(a1,a1),f8(a1,a1))),
% 2.79/2.94 inference(scs_inference,[],[38,52,42,44,645,703,570,679,481,507,594,675,227,197,27,30,31,29,23,26])).
% 2.79/2.94 cnf(727,plain,
% 2.79/2.94 (P2(f8(a1,a1),f3(a4,a4),f3(f8(a1,a1),f8(a1,a1)))),
% 2.79/2.94 inference(scs_inference,[],[38,52,42,44,645,703,570,679,481,507,594,675,227,197,27,30,31,29,23,26,24])).
% 2.79/2.94 cnf(729,plain,
% 2.79/2.94 (P4(a1,f8(a7,a7),f8(a7,a7))),
% 2.79/2.94 inference(scs_inference,[],[38,52,42,44,645,703,340,570,679,481,507,594,675,227,197,27,30,31,29,23,26,24,14])).
% 2.79/2.94 cnf(735,plain,
% 2.79/2.94 (P4(f8(a7,a7),f8(a7,a7),f3(f8(a7,a7),f8(a7,a7)))),
% 2.79/2.94 inference(scs_inference,[],[38,52,42,44,645,703,340,570,679,481,507,594,675,227,197,27,30,31,29,23,26,24,14,12,11,18])).
% 2.79/2.94 cnf(737,plain,
% 2.79/2.94 (P2(f8(a7,a7),f8(a7,a7),f8(f8(a7,a7),f8(a7,a7)))),
% 2.79/2.94 inference(scs_inference,[],[38,52,42,44,645,703,340,570,679,481,507,594,675,227,197,27,30,31,29,23,26,24,14,12,11,18,19])).
% 2.79/2.94 cnf(741,plain,
% 2.79/2.94 (P2(f3(a4,a4),f3(f8(a1,a1),f8(a1,a1)),f8(a1,a1))),
% 2.79/2.94 inference(scs_inference,[],[38,52,42,44,645,703,340,673,570,679,481,507,594,675,227,473,197,27,30,31,29,23,26,24,14,12,11,18,19,10,28])).
% 2.79/2.94 cnf(751,plain,
% 2.79/2.94 (P4(f6(a7),f6(a7),f3(f6(a7),f6(a7)))),
% 2.79/2.94 inference(scs_inference,[],[380,11,19,12,18])).
% 2.79/2.94 cnf(753,plain,
% 2.79/2.94 (P4(f3(f3(a1,a1),f3(a1,a1)),f6(a1),f3(a1,a1))),
% 2.79/2.94 inference(scs_inference,[],[715,380,655,547,11,19,12,18,27])).
% 2.79/2.94 cnf(759,plain,
% 2.79/2.94 (~P4(f3(a1,a1),f6(f3(a1,a1)),a4)),
% 2.79/2.94 inference(scs_inference,[],[54,715,699,380,689,691,655,547,201,11,19,12,18,27,29,23,26])).
% 2.79/2.94 cnf(763,plain,
% 2.79/2.94 (P3(f6(a7),f6(a7))),
% 2.79/2.94 inference(scs_inference,[],[54,715,699,380,689,691,621,655,547,201,11,19,12,18,27,29,23,26,24,10])).
% 2.79/2.94 cnf(773,plain,
% 2.79/2.94 (P4(a1,f6(a7),f6(a7))),
% 2.79/2.94 inference(scs_inference,[],[763,20])).
% 2.79/2.94 cnf(775,plain,
% 2.79/2.94 (P3(f8(a1,a1),f8(f3(a1,a1),f3(a1,a1)))),
% 2.79/2.94 inference(scs_inference,[],[763,645,570,60,20,25])).
% 2.79/2.94 cnf(777,plain,
% 2.79/2.94 (~P4(f6(f6(a1)),f3(a1,a1),a4)),
% 2.79/2.94 inference(scs_inference,[],[44,763,645,551,570,60,7,20,25,27])).
% 2.79/2.94 cnf(779,plain,
% 2.79/2.94 (P4(a7,a7,f3(a2,a2))),
% 2.79/2.94 inference(scs_inference,[],[44,763,320,645,551,570,82,78,60,7,20,25,27,30])).
% 2.79/2.94 cnf(783,plain,
% 2.79/2.94 (P2(f3(f8(a1,a1),f8(a1,a1)),f3(a4,a4),f8(a1,a1))),
% 2.79/2.94 inference(scs_inference,[],[44,741,763,759,320,645,551,570,82,78,60,7,20,25,27,30,23,24])).
% 2.79/2.94 cnf(785,plain,
% 2.79/2.94 (P3(a1,f8(f3(a1,a1),f3(a1,a1)))),
% 2.79/2.94 inference(scs_inference,[],[44,741,763,759,320,645,551,570,82,78,60,7,20,25,27,30,23,24,86])).
% 2.79/2.94 cnf(787,plain,
% 2.79/2.94 (P2(f3(a4,a4),a2,f3(a2,a2))),
% 2.79/2.94 inference(scs_inference,[],[44,741,763,759,320,645,551,570,82,78,60,7,197,20,25,27,30,23,24,86,72])).
% 2.79/2.94 cnf(801,plain,
% 2.79/2.94 (P4(f3(a1,a1),f8(a7,a7),f8(a7,a7))),
% 2.79/2.94 inference(scs_inference,[],[44,729,27])).
% 2.79/2.94 cnf(803,plain,
% 2.79/2.94 (P2(a1,a1,f3(f8(a1,a1),f8(a1,a1)))),
% 2.79/2.94 inference(scs_inference,[],[42,44,729,615,36,27,31])).
% 2.79/2.94 cnf(805,plain,
% 2.79/2.94 (P4(f8(a7,a7),a1,f8(a7,a7))),
% 2.79/2.94 inference(scs_inference,[],[42,44,729,615,36,27,31,23])).
% 2.79/2.94 cnf(807,plain,
% 2.79/2.94 (P2(f8(a1,a1),f3(a4,a4),f8(a1,a1))),
% 2.79/2.94 inference(scs_inference,[],[42,44,729,615,629,171,36,27,31,23,29])).
% 2.79/2.94 cnf(811,plain,
% 2.79/2.94 (P4(f6(a2),f3(a1,a1),f6(a2))),
% 2.79/2.94 inference(scs_inference,[],[42,44,729,787,659,615,629,505,171,36,27,31,23,29,28,26])).
% 2.79/2.94 cnf(817,plain,
% 2.79/2.94 (P2(a4,f3(a2,a2),f3(a2,a2))),
% 2.79/2.94 inference(scs_inference,[],[42,44,729,787,344,659,615,80,629,505,171,36,27,31,23,29,28,26,16,9,15])).
% 2.79/2.94 cnf(821,plain,
% 2.79/2.94 (P3(f8(a4,a4),f8(a4,a4))),
% 2.79/2.94 inference(scs_inference,[],[42,44,775,729,787,344,659,615,80,203,629,505,171,36,27,31,23,29,28,26,16,9,15,20,10])).
% 2.79/2.94 cnf(827,plain,
% 2.79/2.94 (P3(a1,f3(f8(a1,a1),f8(a1,a1)))),
% 2.79/2.94 inference(scs_inference,[],[803,33,22])).
% 2.79/2.94 cnf(829,plain,
% 2.79/2.94 (P4(a1,f8(a1,a1),a1)),
% 2.79/2.94 inference(scs_inference,[],[695,803,62,33,22,27])).
% 2.79/2.94 cnf(831,plain,
% 2.79/2.94 (~P4(f3(a1,a1),f6(f6(a1)),a4)),
% 2.79/2.94 inference(scs_inference,[],[695,777,803,62,33,22,27,23])).
% 2.79/2.94 cnf(833,plain,
% 2.79/2.94 (P2(f8(a1,a1),f3(a4,a4),f8(f3(a1,a1),f3(a1,a1)))),
% 2.79/2.94 inference(scs_inference,[],[783,695,777,803,719,741,62,33,22,27,23,29])).
% 2.79/2.94 cnf(835,plain,
% 2.79/2.94 (P2(f8(a1,a1),f8(f3(a4,a4),f3(a4,a4)),f8(a1,a1))),
% 2.79/2.94 inference(scs_inference,[],[783,807,695,777,803,719,741,62,473,33,22,27,23,29,28])).
% 2.79/2.94 cnf(837,plain,
% 2.79/2.94 (P2(f3(a4,a4),f8(a7,a7),f3(f8(a7,a7),f8(a7,a7)))),
% 2.79/2.94 inference(scs_inference,[],[783,807,735,695,777,803,405,719,741,62,473,33,197,22,27,23,29,28,31])).
% 2.79/2.94 cnf(853,plain,
% 2.79/2.94 (P4(a1,f8(a4,a4),f8(a4,a4))),
% 2.79/2.94 inference(scs_inference,[],[821,20])).
% 2.79/2.94 cnf(855,plain,
% 2.79/2.94 (P4(f3(a1,a1),f8(a1,a1),f3(a1,a1))),
% 2.79/2.94 inference(scs_inference,[],[44,829,821,20,27])).
% 2.79/2.94 cnf(857,plain,
% 2.79/2.94 (P4(f8(a1,a1),a1,a1)),
% 2.79/2.94 inference(scs_inference,[],[44,829,821,20,27,23])).
% 2.79/2.94 cnf(863,plain,
% 2.79/2.94 (~P2(f3(f3(a1,a1),f3(a1,a1)),a4,a4)),
% 2.79/2.94 inference(scs_inference,[],[44,829,821,588,253,292,594,227,231,229,201,20,27,23,29,31,30])).
% 2.79/2.94 cnf(865,plain,
% 2.79/2.94 (~P4(a1,f8(a1,a1),a4)),
% 2.79/2.94 inference(scs_inference,[],[44,54,829,821,588,253,292,594,227,231,229,201,38,20,27,23,29,31,30,26])).
% 2.79/2.94 cnf(873,plain,
% 2.79/2.94 (P4(f3(a5,a5),f3(a5,a5),f3(f3(a5,a5),f3(a5,a5)))),
% 2.79/2.94 inference(scs_inference,[],[44,54,829,821,588,328,253,292,594,227,231,229,201,38,20,27,23,29,31,30,26,24,11,12,18])).
% 2.79/2.94 cnf(877,plain,
% 2.79/2.94 (P3(f3(a1,a1),a1)),
% 2.79/2.94 inference(scs_inference,[],[44,54,60,829,821,588,328,253,292,594,227,231,229,201,38,20,27,23,29,31,30,26,24,11,12,18,19,25])).
% 2.79/2.94 cnf(889,plain,
% 2.79/2.94 (P4(f8(a2,a2),f8(a2,a2),f3(f8(a2,a2),f8(a2,a2)))),
% 2.79/2.94 inference(scs_inference,[],[60,877,84,13,12,11,19,18])).
% 2.79/2.94 cnf(893,plain,
% 2.79/2.94 (~P4(a1,f3(f3(a1,a1),f3(a1,a1)),a4)),
% 2.79/2.94 inference(scs_inference,[],[60,753,831,877,84,553,13,12,11,19,18,27,23])).
% 2.79/2.94 cnf(895,plain,
% 2.79/2.94 (~P4(f3(f8(a1,a1),f8(a1,a1)),a1,a4)),
% 2.79/2.94 inference(scs_inference,[],[60,853,753,831,877,251,803,84,553,269,13,12,11,19,18,27,23,31])).
% 2.79/2.94 cnf(897,plain,
% 2.79/2.94 (P4(f3(a1,a1),f8(f3(a1,a1),f3(a1,a1)),f3(a1,a1))),
% 2.79/2.94 inference(scs_inference,[],[60,833,855,853,753,831,877,251,803,84,553,269,629,13,12,11,19,18,27,23,31,30])).
% 2.79/2.94 cnf(899,plain,
% 2.79/2.94 (~P4(f3(a1,a1),f8(a1,a1),a4)),
% 2.79/2.94 inference(scs_inference,[],[44,60,833,855,853,753,831,877,865,251,803,84,553,269,570,629,13,12,11,19,18,27,23,31,30,26])).
% 2.79/2.94 cnf(901,plain,
% 2.79/2.94 (P2(f8(a7,a7),f3(a4,a4),f3(f8(a7,a7),f8(a7,a7)))),
% 2.79/2.94 inference(scs_inference,[],[44,60,833,855,837,853,753,831,877,865,251,803,84,553,269,570,629,13,12,11,19,18,27,23,31,30,26,24])).
% 2.79/2.94 cnf(905,plain,
% 2.79/2.94 (P3(f3(f3(a1,a1),f3(a1,a1)),f3(a1,a1))),
% 2.79/2.94 inference(scs_inference,[],[44,60,833,855,837,853,753,831,877,865,251,803,84,553,269,570,629,655,13,12,11,19,18,27,23,31,30,26,24,195,25])).
% 2.79/2.94 cnf(915,plain,
% 2.79/2.94 (P4(f6(a2),f8(f3(a1,a1),f3(a1,a1)),f6(a2))),
% 2.79/2.94 inference(scs_inference,[],[897,811,27])).
% 2.79/2.94 cnf(917,plain,
% 2.79/2.94 (P4(f8(f3(a1,a1),f3(a1,a1)),f3(a1,a1),f3(a1,a1))),
% 2.79/2.94 inference(scs_inference,[],[897,811,27,23])).
% 2.79/2.94 cnf(919,plain,
% 2.79/2.94 (P4(f6(a2),f3(f3(a1,a1),f3(a1,a1)),f6(a2))),
% 2.79/2.94 inference(scs_inference,[],[897,811,594,27,23,26])).
% 2.79/2.94 cnf(927,plain,
% 2.79/2.94 (P2(a4,f8(a4,a4),f8(a4,a4))),
% 2.79/2.94 inference(scs_inference,[],[905,897,811,203,594,27,23,26,13,16,9,15])).
% 2.79/2.94 cnf(947,plain,
% 2.79/2.94 (P2(f3(a4,a4),f8(f3(a1,a1),f3(a1,a1)),f8(a1,a1))),
% 2.79/2.94 inference(scs_inference,[],[805,673,719,507,473,27,28])).
% 2.79/2.94 cnf(949,plain,
% 2.79/2.94 (~P4(f8(a1,a1),f3(a1,a1),a4)),
% 2.79/2.94 inference(scs_inference,[],[899,805,673,719,507,473,27,28,23])).
% 2.79/2.94 cnf(951,plain,
% 2.79/2.94 (P4(f8(a1,a1),f6(a7),f6(a7))),
% 2.79/2.94 inference(scs_inference,[],[899,805,857,773,673,719,507,473,27,28,23,26])).
% 2.79/2.94 cnf(953,plain,
% 2.79/2.94 (P2(f3(f3(a1,a1),f3(a1,a1)),a1,f8(a1,a1))),
% 2.79/2.94 inference(scs_inference,[],[721,899,805,857,773,673,719,625,741,507,473,27,28,23,26,29])).
% 2.79/2.94 cnf(957,plain,
% 2.79/2.94 (P4(a1,f3(a5,a5),f3(a5,a5))),
% 2.79/2.94 inference(scs_inference,[],[873,721,899,805,857,773,699,673,719,625,741,507,328,473,197,27,28,23,26,29,31,14])).
% 2.79/2.94 cnf(969,plain,
% 2.79/2.94 (P4(f3(f3(a1,a1),f3(a1,a1)),f8(a7,a7),f8(a7,a7))),
% 2.79/2.94 inference(scs_inference,[],[801,594,27])).
% 2.79/2.94 cnf(971,plain,
% 2.79/2.94 (P4(f3(a5,a5),a1,f3(a5,a5))),
% 2.79/2.94 inference(scs_inference,[],[957,801,594,27,23])).
% 2.79/2.94 cnf(975,plain,
% 2.79/2.94 (P2(f8(a4,a4),f8(a7,a7),f8(a7,a7))),
% 2.79/2.94 inference(scs_inference,[],[957,915,801,405,300,346,594,201,27,23,26,29])).
% 2.79/2.94 cnf(977,plain,
% 2.79/2.94 (P2(f3(a4,a4),f8(a2,a2),f3(f8(a2,a2),f8(a2,a2)))),
% 2.79/2.94 inference(scs_inference,[],[957,889,915,801,405,294,300,346,594,201,197,27,23,26,29,31])).
% 2.79/2.94 cnf(981,plain,
% 2.79/2.94 (P3(f3(a4,a4),f3(a4,a4))),
% 2.79/2.94 inference(scs_inference,[],[785,957,889,915,801,405,294,300,346,594,199,201,197,27,23,26,29,31,20,10])).
% 2.79/2.94 cnf(995,plain,
% 2.79/2.94 (~P4(f3(a1,a1),f3(f8(a1,a1),f8(a1,a1)),a4)),
% 2.79/2.94 inference(scs_inference,[],[895,917,649,727,759,855,691,629,27,23,31])).
% 2.79/2.94 cnf(997,plain,
% 2.79/2.94 (P2(f8(f3(a1,a1),f3(a1,a1)),f3(a4,a4),f8(a1,a1))),
% 2.79/2.94 inference(scs_inference,[],[947,895,917,649,727,759,855,691,629,27,23,31,24])).
% 2.79/2.94 cnf(1005,plain,
% 2.79/2.94 (P4(f6(a2),f6(a2),f3(f6(a2),f6(a2)))),
% 2.79/2.94 inference(scs_inference,[],[947,895,917,649,727,759,855,691,263,629,27,23,31,24,11,19,12,18])).
% 2.79/2.94 cnf(1007,plain,
% 2.79/2.94 (P3(a4,a4)),
% 2.79/2.94 inference(scs_inference,[],[947,895,917,649,727,759,855,691,263,629,2,27,23,31,24,11,19,12,18,10])).
% 2.79/2.94 cnf(1029,plain,
% 2.79/2.94 (P4(f3(a2,a2),f3(a2,a2),f3(f3(a2,a2),f3(a2,a2)))),
% 2.79/2.94 inference(scs_inference,[],[80,11,19,12,18])).
% 2.79/2.94 cnf(1031,plain,
% 2.79/2.94 (P4(a1,f3(a4,a4),f3(a4,a4))),
% 2.79/2.94 inference(scs_inference,[],[981,80,11,19,12,18,20])).
% 2.79/2.94 cnf(1033,plain,
% 2.79/2.94 (P4(f6(a2),f6(a1),f6(a2))),
% 2.79/2.94 inference(scs_inference,[],[981,919,753,80,811,11,19,12,18,20,27])).
% 2.79/2.94 cnf(1035,plain,
% 2.79/2.94 (P4(f3(f3(a1,a1),f3(a1,a1)),f8(a1,a1),f3(a1,a1))),
% 2.79/2.94 inference(scs_inference,[],[981,919,753,725,855,80,811,11,19,12,18,20,27,26])).
% 2.79/2.94 cnf(1037,plain,
% 2.79/2.94 (P2(f3(a1,a1),f3(a1,a1),f8(a1,a1))),
% 2.79/2.94 inference(scs_inference,[],[981,997,919,596,753,725,855,80,811,629,11,19,12,18,20,27,26,28])).
% 2.79/2.94 cnf(1039,plain,
% 2.79/2.95 (P4(f8(a7,a7),f3(f3(a1,a1),f3(a1,a1)),f8(a7,a7))),
% 2.79/2.95 inference(scs_inference,[],[981,997,969,919,596,753,725,855,80,811,629,11,19,12,18,20,27,26,28,23])).
% 2.79/2.95 cnf(1041,plain,
% 2.79/2.95 (P4(f6(f3(a2,a2)),f3(a2,a2),a1)),
% 2.79/2.95 inference(scs_inference,[],[981,997,969,919,596,753,725,855,80,811,629,11,19,12,18,20,27,26,28,23,16])).
% 2.79/2.95 cnf(1045,plain,
% 2.79/2.95 (P2(a4,f6(a7),f6(a7))),
% 2.79/2.95 inference(scs_inference,[],[981,997,969,919,596,753,725,855,80,811,380,629,11,19,12,18,20,27,26,28,23,16,9,15])).
% 2.79/2.95 cnf(1057,plain,
% 2.79/2.95 (P4(a1,a4,a4)),
% 2.79/2.95 inference(scs_inference,[],[1007,20])).
% 2.79/2.95 cnf(1059,plain,
% 2.79/2.95 (P4(f3(a5,a5),f6(a1),f3(a5,a5))),
% 2.79/2.95 inference(scs_inference,[],[971,1007,173,20,27])).
% 2.79/2.95 cnf(1065,plain,
% 2.79/2.95 (P4(f3(a1,a1),f3(a1,a1),a1)),
% 2.79/2.95 inference(scs_inference,[],[66,1037,971,1007,545,549,857,481,207,173,625,20,27,26,29,30])).
% 2.79/2.95 cnf(1075,plain,
% 2.79/2.95 (P2(a1,f8(a4,a4),a1)),
% 2.79/2.95 inference(scs_inference,[],[66,1037,977,737,971,1007,995,545,549,857,481,207,173,625,675,4,20,27,26,29,30,23,24,22,14,31])).
% 2.79/2.95 cnf(1079,plain,
% 2.79/2.95 (~P4(a4,f6(a2),f6(a2))),
% 2.79/2.95 inference(scs_inference,[],[66,1037,977,737,971,1007,995,545,549,857,481,207,173,625,675,4,20,27,26,29,30,23,24,22,14,31,609,427])).
% 2.79/2.95 cnf(1081,plain,
% 2.79/2.95 (~P4(a1,a4,f6(a1))),
% 2.79/2.95 inference(scs_inference,[],[66,1037,977,737,971,1007,995,545,549,857,481,207,173,625,675,4,20,27,26,29,30,23,24,22,14,31,609,427,144])).
% 2.79/2.95 cnf(1087,plain,
% 2.79/2.95 (P4(f3(f6(a1),f6(a1)),f8(a1,a1),f8(a1,a1))),
% 2.79/2.95 inference(scs_inference,[],[725,455,27])).
% 2.79/2.95 cnf(1089,plain,
% 2.79/2.95 (~P4(a4,a1,a1)),
% 2.79/2.95 inference(scs_inference,[],[1079,725,633,455,27,26])).
% 2.79/2.95 cnf(1091,plain,
% 2.79/2.95 (P2(f8(a4,a4),f6(a7),f6(a7))),
% 2.79/2.95 inference(scs_inference,[],[1079,1045,725,633,455,201,27,26,29])).
% 2.79/2.95 cnf(1093,plain,
% 2.79/2.95 (P2(f3(a4,a4),f3(a2,a2),f3(f3(a2,a2),f3(a2,a2)))),
% 2.79/2.95 inference(scs_inference,[],[1079,1029,1045,817,725,633,455,201,197,27,26,29,31])).
% 2.79/2.95 cnf(1095,plain,
% 2.79/2.95 (P4(f8(a1,a1),f3(f3(a1,a1),f3(a1,a1)),f3(a1,a1))),
% 2.79/2.95 inference(scs_inference,[],[1079,1035,1029,1045,817,725,633,455,201,197,27,26,29,31,23])).
% 2.79/2.95 cnf(1097,plain,
% 2.79/2.95 (~P4(a4,f6(a7),f6(a7))),
% 2.79/2.95 inference(scs_inference,[],[1079,1035,1029,1045,817,725,633,455,201,197,27,26,29,31,23,606])).
% 2.79/2.95 cnf(1113,plain,
% 2.79/2.95 (P3(f3(a1,a1),f8(f3(a1,a1),f3(a1,a1)))),
% 2.79/2.95 inference(scs_inference,[],[785,877,13])).
% 2.79/2.95 cnf(1115,plain,
% 2.79/2.95 (~P4(f6(f8(a1,a1)),f3(a1,a1),a4)),
% 2.79/2.95 inference(scs_inference,[],[1095,893,695,785,877,13,27])).
% 2.79/2.95 cnf(1121,plain,
% 2.79/2.95 (~P2(a1,f6(a7),a4)),
% 2.79/2.95 inference(scs_inference,[],[62,1095,949,893,751,1091,1097,695,853,1045,785,877,197,13,27,26,31,30])).
% 2.79/2.95 cnf(1125,plain,
% 2.79/2.95 (P2(a7,f3(a7,a7),f3(f8(a7,a7),f8(a7,a7)))),
% 2.79/2.95 inference(scs_inference,[],[62,1095,949,893,1081,751,1091,1097,695,853,901,557,1045,785,342,877,197,13,27,26,31,30,23,28])).
% 2.79/2.95 cnf(1127,plain,
% 2.79/2.95 (P2(f3(a2,a2),f3(a4,a4),f3(f3(a2,a2),f3(a2,a2)))),
% 2.79/2.95 inference(scs_inference,[],[62,1095,949,1093,893,1081,751,1091,1097,695,853,901,557,1045,785,342,877,197,13,27,26,31,30,23,28,24])).
% 2.79/2.95 cnf(1131,plain,
% 2.79/2.95 (P3(a1,f3(a1,a1))),
% 2.79/2.95 inference(scs_inference,[],[62,66,1095,949,1093,893,1081,751,1091,1097,1065,695,853,901,557,1045,785,342,877,4,197,13,27,26,31,30,23,28,24,10,25])).
% 2.79/2.95 cnf(1145,plain,
% 2.79/2.95 (P4(a1,f3(a1,a1),a1)),
% 2.79/2.95 inference(scs_inference,[],[1131,344,877,19,20])).
% 2.79/2.95 cnf(1149,plain,
% 2.79/2.95 (P4(f3(a5,a5),f3(f6(a1),f6(a1)),f3(a5,a5))),
% 2.79/2.95 inference(scs_inference,[],[1131,1059,971,344,553,455,877,19,20,27,26])).
% 2.79/2.95 cnf(1153,plain,
% 2.79/2.95 (~P2(f8(a1,a1),f8(a4,a4),a4)),
% 2.79/2.95 inference(scs_inference,[],[76,1131,1059,1075,423,977,971,787,1057,344,553,829,455,877,19,20,27,26,29,31])).
% 2.79/2.95 cnf(1157,plain,
% 2.79/2.95 (P4(f8(a1,a1),f3(f6(a1),f6(a1)),f8(a1,a1))),
% 2.79/2.95 inference(scs_inference,[],[76,1087,1127,1131,1059,1075,423,779,977,971,787,1057,557,344,553,829,455,877,19,20,27,26,29,31,30,23])).
% 2.79/2.95 cnf(1167,plain,
% 2.79/2.95 (P2(a4,f6(a2),f6(a2))),
% 2.79/2.95 inference(scs_inference,[],[76,1087,1113,1121,1127,1131,1059,1075,423,779,977,971,787,411,1057,557,344,553,829,326,455,877,263,19,20,27,26,29,31,30,23,28,24,16,13,15])).
% 2.79/2.95 cnf(1175,plain,
% 2.79/2.95 (P4(f3(a7,a7),f3(a7,a7),f3(f3(a7,a7),f3(a7,a7)))),
% 2.79/2.95 inference(scs_inference,[],[76,1087,1113,1121,1127,1131,1059,1075,423,779,977,971,787,411,1057,557,344,553,829,326,455,877,263,19,20,27,26,29,31,30,23,28,24,16,13,15,9,11,12,18])).
% 2.79/2.95 cnf(1185,plain,
% 2.79/2.95 (P2(f8(a4,a4),f8(a4,a4),f8(f8(a4,a4),f8(a4,a4)))),
% 2.79/2.95 inference(scs_inference,[],[203,11,12,18,19])).
% 2.79/2.95 cnf(1187,plain,
% 2.79/2.95 (P4(f8(a7,a7),f3(a1,a1),f8(a7,a7))),
% 2.79/2.95 inference(scs_inference,[],[1145,805,203,11,12,18,19,27])).
% 2.79/2.95 cnf(1189,plain,
% 2.79/2.95 (P4(f3(f6(a1),f6(a1)),f3(a4,a4),f3(a4,a4))),
% 2.79/2.95 inference(scs_inference,[],[1145,1031,805,461,203,11,12,18,19,27,26])).
% 2.79/2.95 cnf(1213,plain,
% 2.79/2.95 (P4(a1,f6(a1),f8(a1,a1))),
% 2.79/2.95 inference(scs_inference,[],[1157,857,827,547,877,13,27])).
% 2.79/2.95 cnf(1215,plain,
% 2.79/2.95 (~P4(a4,f8(a1,a1),f8(a1,a1))),
% 2.79/2.95 inference(scs_inference,[],[1157,951,1097,857,827,547,877,13,27,26])).
% 2.79/2.95 cnf(1223,plain,
% 2.79/2.95 (~P2(f8(a4,a4),f8(a1,a1),a4)),
% 2.79/2.95 inference(scs_inference,[],[1157,1149,1185,687,1153,975,951,1097,1037,857,827,547,171,877,13,27,26,29,30,23,24])).
% 2.79/2.95 cnf(1225,plain,
% 2.79/2.95 (~P2(f3(f6(a1),f6(a1)),a1,a4)),
% 2.79/2.95 inference(scs_inference,[],[1157,1149,1185,687,1153,975,951,1097,1037,857,827,547,171,877,13,27,26,29,30,23,24,515])).
% 2.79/2.95 cnf(1229,plain,
% 2.79/2.95 (~P2(f8(a1,a1),f8(f3(a4,a4),f3(a4,a4)),a4)),
% 2.79/2.95 inference(scs_inference,[],[1157,1149,1185,687,1153,975,951,835,354,1097,1113,1037,857,827,547,171,877,13,27,26,29,30,23,24,515,20,28])).
% 2.79/2.95 cnf(1235,plain,
% 2.79/2.95 (~P4(f6(f6(a1)),f8(a1,a1),a4)),
% 2.79/2.95 inference(scs_inference,[],[64,1213,551,27])).
% 2.79/2.95 cnf(1237,plain,
% 2.79/2.95 (P2(f3(a4,a4),f3(a7,a7),f3(f3(a7,a7),f3(a7,a7)))),
% 2.79/2.95 inference(scs_inference,[],[64,1175,1213,527,551,197,27,31])).
% 2.79/2.95 cnf(1239,plain,
% 2.79/2.95 (~P4(f8(a1,a1),a4,f3(a1,a1))),
% 2.79/2.95 inference(scs_inference,[],[64,1175,1115,1213,527,695,551,1057,197,27,31,26])).
% 2.79/2.95 cnf(1260,plain,
% 2.79/2.95 (P4(f8(a7,a7),f8(a1,a1),f8(a7,a7))),
% 2.79/2.95 inference(scs_inference,[],[1039,1035,1187,27])).
% 2.79/2.95 cnf(1272,plain,
% 2.79/2.95 (P2(a1,f8(f8(a4,a4),f8(a4,a4)),a1)),
% 2.79/2.95 inference(scs_inference,[],[1189,1005,1039,1033,1079,1035,1223,1167,927,1187,1075,1185,354,1057,455,197,27,29,31,26,23,30,28])).
% 2.79/2.95 cnf(1274,plain,
% 2.79/2.95 (~P2(f8(f3(a4,a4),f3(a4,a4)),f8(a1,a1),a4)),
% 2.79/2.95 inference(scs_inference,[],[1189,1229,1005,1039,1033,1079,1035,1223,1167,927,1187,1075,1185,354,1057,455,197,27,29,31,26,23,30,28,24])).
% 2.79/2.95 cnf(1280,plain,
% 2.79/2.95 (P2(a4,a5,a5)),
% 2.79/2.95 inference(scs_inference,[],[1189,1229,1005,1039,1033,1079,1035,1223,1167,927,1187,1075,1185,354,84,1057,455,4,197,27,29,31,26,23,30,28,24,16,9,15])).
% 2.79/2.95 cnf(1292,plain,
% 2.79/2.95 (~P4(f8(a1,a1),f8(a1,a1),a4)),
% 2.79/2.95 inference(scs_inference,[],[62,1089,1229,1145,1065,835,971,27,26,31])).
% 2.79/2.95 cnf(1302,plain,
% 2.79/2.95 (P4(f8(a5,a5),f8(a5,a5),f3(f8(a5,a5),f8(a5,a5)))),
% 2.79/2.95 inference(scs_inference,[],[62,1237,1215,1089,1229,1145,1065,835,971,326,27,26,31,23,24,11,12,18])).
% 2.79/2.95 cnf(1324,plain,
% 2.79/2.95 (~P4(f8(a1,a1),f3(f6(a1),f6(a1)),a4)),
% 2.79/2.95 inference(scs_inference,[],[62,66,1274,1292,1239,1213,1157,703,473,27,29,26])).
% 2.79/2.95 cnf(1326,plain,
% 2.79/2.95 (P4(f8(a1,a1),f8(a7,a7),f8(a7,a7))),
% 2.79/2.95 inference(scs_inference,[],[62,66,1260,1274,1292,1239,1213,1157,703,473,27,29,26,23])).
% 2.79/2.95 cnf(1328,plain,
% 2.79/2.95 (~P2(a1,f8(f8(a4,a4),f8(a4,a4)),a4)),
% 2.79/2.95 inference(scs_inference,[],[62,66,1260,1274,1292,1239,1272,255,1213,1157,703,473,34,27,29,26,23,28])).
% 2.79/2.95 cnf(1330,plain,
% 2.79/2.95 (~P2(f8(a1,a1),f3(a4,a4),a4)),
% 2.79/2.95 inference(scs_inference,[],[62,66,1260,1274,1292,1239,1272,255,1213,1157,807,703,473,34,27,29,26,23,28,30])).
% 2.79/2.95 cnf(1352,plain,
% 2.79/2.95 (P4(f8(a1,a1),f3(f8(a1,a1),f8(a1,a1)),f8(a1,a1))),
% 2.79/2.95 inference(scs_inference,[],[82,74,76,1324,1235,1081,953,1272,302,803,139,461,551,1057,44,27,29,26,31,23,28,30])).
% 2.79/2.95 cnf(1369,plain,
% 2.79/2.95 (~P4(f3(f8(a1,a1),f8(a1,a1)),f8(a1,a1),a4)),
% 2.79/2.95 inference(scs_inference,[],[74,1352,1330,997,783,947,727,1213,855,27,29,31])).
% 2.79/2.95 cnf(1373,plain,
% 2.79/2.95 (P4(f3(f8(a1,a1),f8(a1,a1)),f8(a1,a1),f8(a1,a1))),
% 2.79/2.95 inference(scs_inference,[],[74,66,1352,1330,997,783,586,947,727,1065,1213,855,27,29,31,26,23])).
% 2.79/2.95 cnf(1379,plain,
% 2.79/2.95 (P4(f6(f3(a5,a5)),f3(a5,a5),a1)),
% 2.79/2.95 inference(scs_inference,[],[82,74,66,1352,1225,1330,1125,997,783,586,947,727,527,1065,1213,855,328,27,29,31,26,23,28,24,16])).
% 2.79/2.95 cnf(1381,plain,
% 2.79/2.95 (P2(a4,a4,a4)),
% 2.79/2.95 inference(scs_inference,[],[82,74,66,1352,1225,1330,1125,997,783,586,947,727,527,1065,1213,855,328,2,27,29,31,26,23,28,24,16,15])).
% 2.79/2.95 cnf(1397,plain,
% 2.79/2.95 (~P4(f8(a1,a1),f3(f8(a1,a1),f8(a1,a1)),a4)),
% 2.79/2.95 inference(scs_inference,[],[1373,1302,1369,1381,1326,588,1260,863,1352,197,27,26,29,31,23])).
% 2.79/2.95 cnf(1433,plain,
% 2.79/2.95 ($false),
% 2.79/2.95 inference(scs_inference,[],[66,82,1041,1328,1397,1379,1280,1089,1145,352,721,1272,971,1213,8,631,877,1057,3,42,4,13,27,31,26,29,23,30,24,19]),
% 2.79/2.95 ['proof']).
% 2.79/2.95 % SZS output end Proof
% 2.79/2.95 % Total time :2.290000s
%------------------------------------------------------------------------------