TSTP Solution File: FLD040-3 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : FLD040-3 : 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 : n010.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 22:26:42 EDT 2023
% Result : Unsatisfiable 6.32s 6.38s
% Output : CNFRefutation 6.40s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : FLD040-3 : 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 : n010.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
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sun Aug 27 23:11:34 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.61 start to proof:theBenchmark
% 6.32/6.38 %-------------------------------------------
% 6.32/6.38 % File :CSE---1.6
% 6.32/6.38 % Problem :theBenchmark
% 6.32/6.38 % Transform :cnf
% 6.32/6.38 % Format :tptp:raw
% 6.32/6.38 % Command :java -jar mcs_scs.jar %d %s
% 6.32/6.38
% 6.32/6.38 % Result :Theorem 5.720000s
% 6.32/6.38 % Output :CNFRefutation 5.720000s
% 6.32/6.38 %-------------------------------------------
% 6.32/6.38 %--------------------------------------------------------------------------
% 6.32/6.38 % File : FLD040-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 6.32/6.38 % Domain : Field Theory (Ordered fields)
% 6.32/6.38 % Problem : If a is not 0, then the multiplicative inverse of a is not 0
% 6.32/6.38 % Version : [Dra93] axioms : Especial.
% 6.32/6.38 % Theorem formulation : Functional with re axiom set.
% 6.32/6.38 % English :
% 6.32/6.38
% 6.32/6.38 % Refs : [Dra93] Draeger (1993), Anwendung des Theorembeweisers SETHEO
% 6.32/6.38 % Source : [Dra93]
% 6.32/6.38 % Names :
% 6.32/6.38
% 6.32/6.38 % Status : Unsatisfiable
% 6.32/6.38 % Rating : 0.00 v7.1.0, 0.17 v7.0.0, 0.25 v6.3.0, 0.14 v6.2.0, 0.11 v6.1.0, 0.14 v6.0.0, 0.00 v5.5.0, 0.12 v5.4.0, 0.10 v5.2.0, 0.00 v5.1.0, 0.09 v5.0.0, 0.14 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, 0.12 v2.6.0, 0.33 v2.5.0, 0.20 v2.3.0, 0.00 v2.2.1, 0.33 v2.1.0
% 6.32/6.38 % Syntax : Number of clauses : 29 ( 6 unt; 3 nHn; 29 RR)
% 6.32/6.38 % Number of literals : 80 ( 0 equ; 50 neg)
% 6.32/6.38 % Maximal clause size : 5 ( 2 avg)
% 6.32/6.38 % Maximal term depth : 2 ( 1 avg)
% 6.32/6.38 % Number of predicates : 4 ( 4 usr; 0 prp; 1-3 aty)
% 6.32/6.38 % Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% 6.32/6.38 % Number of variables : 73 ( 0 sgn)
% 6.32/6.38 % SPC : CNF_UNS_RFO_NEQ_NHN
% 6.32/6.38
% 6.32/6.38 % Comments :
% 6.32/6.38 % Bugfixes : v2.1.0 - Bugfix in FLD002-0.ax
% 6.32/6.38 %--------------------------------------------------------------------------
% 6.32/6.38 include('Axioms/FLD002-0.ax').
% 6.32/6.38 %--------------------------------------------------------------------------
% 6.32/6.38 cnf(a_is_defined,hypothesis,
% 6.32/6.38 defined(a) ).
% 6.32/6.38
% 6.32/6.38 cnf(not_sum_2,negated_conjecture,
% 6.32/6.38 ~ sum(additive_identity,a,additive_identity) ).
% 6.32/6.38
% 6.32/6.38 cnf(sum_3,negated_conjecture,
% 6.32/6.38 sum(additive_identity,additive_identity,multiplicative_inverse(a)) ).
% 6.32/6.38
% 6.32/6.38 %--------------------------------------------------------------------------
% 6.32/6.38 %-------------------------------------------
% 6.32/6.38 % Proof found
% 6.32/6.38 % SZS status Theorem for theBenchmark
% 6.32/6.38 % SZS output start Proof
% 6.32/6.39 %ClaNum:29(EqnAxiom:0)
% 6.32/6.39 %VarNum:162(SingletonVarNum:73)
% 6.32/6.39 %MaxLitNum:5
% 6.32/6.39 %MaxfuncDepth:1
% 6.32/6.39 %SharedTerms:10
% 6.32/6.39 %goalClause: 4 6
% 6.32/6.39 %singleGoalClaCount:2
% 6.32/6.39 [1]P1(a1)
% 6.32/6.39 [2]P1(a4)
% 6.32/6.39 [3]P1(a2)
% 6.32/6.39 [5]~P2(a1,a1,a4)
% 6.32/6.39 [6]~P2(a1,a2,a1)
% 6.32/6.39 [4]P2(a1,a1,f6(a2))
% 6.32/6.39 [12]~P1(x121)+P2(a1,x121,x121)
% 6.32/6.39 [13]~P1(x131)+P4(a4,x131,x131)
% 6.32/6.39 [7]~P1(x71)+P1(f5(x71))
% 6.32/6.39 [14]~P1(x141)+P2(f5(x141),x141,a1)
% 6.32/6.39 [21]~P2(x212,x211,x213)+P2(x211,x212,x213)
% 6.32/6.39 [22]~P4(x222,x221,x223)+P4(x221,x222,x223)
% 6.32/6.39 [15]~P1(x151)+P2(a1,x151,a1)+P1(f6(x151))
% 6.32/6.39 [19]~P1(x191)+P4(f6(x191),x191,a4)+P2(a1,x191,a1)
% 6.32/6.39 [18]~P3(x182,x181)+~P3(x181,x182)+P2(a1,x181,x182)
% 6.32/6.39 [9]~P1(x92)+~P1(x91)+P1(f3(x91,x92))
% 6.32/6.39 [10]~P1(x102)+~P1(x101)+P1(f7(x101,x102))
% 6.32/6.39 [16]~P1(x162)+~P1(x161)+P2(x161,x162,f3(x161,x162))
% 6.32/6.39 [17]~P1(x172)+~P1(x171)+P4(x171,x172,f7(x171,x172))
% 6.32/6.39 [11]~P3(x111,x113)+P3(x111,x112)+~P3(x113,x112)
% 6.32/6.39 [8]P3(x82,x81)+~P1(x81)+~P1(x82)+P3(x81,x82)
% 6.32/6.39 [20]~P4(x203,x202,x201)+P3(a1,x201)+~P3(a1,x202)+~P3(a1,x203)
% 6.32/6.39 [23]~P2(x233,x235,x231)+P3(x231,x232)+~P2(x234,x235,x232)+~P3(x233,x234)
% 6.32/6.39 [24]~P2(x241,x246,x244)+P2(x241,x242,x243)+~P2(x244,x245,x243)+~P2(x246,x245,x242)
% 6.32/6.39 [25]~P2(x256,x254,x251)+P2(x251,x252,x253)+~P2(x254,x252,x255)+~P2(x256,x255,x253)
% 6.32/6.39 [26]~P4(x261,x266,x264)+P4(x261,x262,x263)+~P4(x264,x265,x263)+~P4(x266,x265,x262)
% 6.32/6.39 [27]~P4(x276,x274,x271)+P4(x271,x272,x273)+~P4(x274,x272,x275)+~P4(x276,x275,x273)
% 6.32/6.39 [28]~P4(x285,x287,x282)+~P4(x284,x287,x281)+P2(x281,x282,x283)+~P2(x284,x285,x286)+~P4(x286,x287,x283)
% 6.32/6.39 [29]~P4(x297,x292,x295)+~P4(x296,x292,x294)+P4(x291,x292,x293)+~P2(x294,x295,x293)+~P2(x296,x297,x291)
% 6.32/6.39 %EqnAxiom
% 6.32/6.39
% 6.32/6.39 %-------------------------------------------
% 6.32/6.39 cnf(30,plain,
% 6.32/6.39 (~P2(a2,a1,a1)),
% 6.32/6.39 inference(scs_inference,[],[6,21])).
% 6.32/6.39 cnf(31,plain,
% 6.32/6.39 (P3(a1,a1)),
% 6.32/6.39 inference(scs_inference,[],[6,1,21,8])).
% 6.32/6.39 cnf(32,plain,
% 6.32/6.39 (P4(a4,a1,a1)),
% 6.32/6.39 inference(scs_inference,[],[6,1,21,8,13])).
% 6.32/6.39 cnf(34,plain,
% 6.32/6.39 (P2(a1,a1,a1)),
% 6.32/6.39 inference(scs_inference,[],[6,1,21,8,13,12])).
% 6.32/6.39 cnf(36,plain,
% 6.32/6.39 (P2(f5(a1),a1,a1)),
% 6.32/6.39 inference(scs_inference,[],[6,1,21,8,13,12,14])).
% 6.32/6.39 cnf(38,plain,
% 6.32/6.39 (P1(f5(a1))),
% 6.32/6.39 inference(scs_inference,[],[6,1,21,8,13,12,14,7])).
% 6.32/6.39 cnf(40,plain,
% 6.32/6.39 (P4(f6(a2),a2,a4)),
% 6.32/6.39 inference(scs_inference,[],[6,1,3,21,8,13,12,14,7,19])).
% 6.32/6.39 cnf(42,plain,
% 6.32/6.39 (P4(a1,a1,f7(a1,a1))),
% 6.32/6.39 inference(scs_inference,[],[6,1,3,21,8,13,12,14,7,19,17])).
% 6.32/6.39 cnf(44,plain,
% 6.32/6.39 (P2(a1,a1,f3(a1,a1))),
% 6.32/6.39 inference(scs_inference,[],[6,1,3,21,8,13,12,14,7,19,17,16])).
% 6.32/6.39 cnf(46,plain,
% 6.32/6.39 (P1(f6(a2))),
% 6.32/6.39 inference(scs_inference,[],[6,1,3,21,8,13,12,14,7,19,17,16,15])).
% 6.32/6.39 cnf(48,plain,
% 6.32/6.39 (P1(f7(a1,a1))),
% 6.32/6.39 inference(scs_inference,[],[6,1,3,21,8,13,12,14,7,19,17,16,15,10])).
% 6.32/6.39 cnf(50,plain,
% 6.32/6.39 (P1(f3(a1,a1))),
% 6.32/6.39 inference(scs_inference,[],[6,1,3,21,8,13,12,14,7,19,17,16,15,10,9])).
% 6.32/6.40 cnf(52,plain,
% 6.32/6.40 (~P4(a4,f7(a1,a1),x521)+P4(a1,a1,x521)),
% 6.32/6.40 inference(scs_inference,[],[6,1,3,21,8,13,12,14,7,19,17,16,15,10,9,27])).
% 6.32/6.40 cnf(54,plain,
% 6.32/6.40 (P4(a4,f7(a1,a1),f7(a1,a1))),
% 6.32/6.40 inference(scs_inference,[],[6,1,3,21,8,13,12,14,7,19,17,16,15,10,9,27,26])).
% 6.32/6.40 cnf(56,plain,
% 6.32/6.40 (~P2(a1,a1,a2)),
% 6.32/6.40 inference(scs_inference,[],[6,1,3,21,8,13,12,14,7,19,17,16,15,10,9,27,26,24])).
% 6.32/6.40 cnf(58,plain,
% 6.32/6.40 (P3(f6(a2),f6(a2))),
% 6.32/6.40 inference(scs_inference,[],[4,6,1,3,21,8,13,12,14,7,19,17,16,15,10,9,27,26,24,23])).
% 6.32/6.40 cnf(60,plain,
% 6.32/6.40 (P3(a1,f7(a1,a1))),
% 6.32/6.40 inference(scs_inference,[],[4,6,1,3,21,8,13,12,14,7,19,17,16,15,10,9,27,26,24,23,20])).
% 6.32/6.40 cnf(71,plain,
% 6.32/6.40 (P4(f7(a1,a1),a4,f7(a1,a1))),
% 6.32/6.40 inference(scs_inference,[],[54,22])).
% 6.32/6.40 cnf(73,plain,
% 6.32/6.40 (P1(f7(a4,a4))),
% 6.32/6.40 inference(scs_inference,[],[2,54,22,10])).
% 6.32/6.40 cnf(75,plain,
% 6.32/6.40 (P1(f3(a4,a4))),
% 6.32/6.40 inference(scs_inference,[],[2,54,22,10,9])).
% 6.32/6.40 cnf(77,plain,
% 6.32/6.40 (~P2(f5(a1),f5(a1),a2)),
% 6.32/6.40 inference(scs_inference,[],[2,54,36,30,22,10,9,25])).
% 6.32/6.40 cnf(79,plain,
% 6.32/6.40 (~P2(f6(a2),a1,a4)),
% 6.32/6.40 inference(scs_inference,[],[4,2,5,34,54,36,30,22,10,9,25,24])).
% 6.32/6.40 cnf(81,plain,
% 6.32/6.40 (P2(a1,f5(a1),a1)),
% 6.32/6.40 inference(scs_inference,[],[4,2,5,34,54,36,30,22,10,9,25,24,21])).
% 6.32/6.40 cnf(83,plain,
% 6.32/6.40 (P4(a4,a4,f7(a4,a4))),
% 6.32/6.40 inference(scs_inference,[],[4,2,5,34,54,36,30,22,10,9,25,24,21,17])).
% 6.32/6.40 cnf(85,plain,
% 6.32/6.40 (P2(a4,a4,f3(a4,a4))),
% 6.32/6.40 inference(scs_inference,[],[4,2,5,34,54,36,30,22,10,9,25,24,21,17,16])).
% 6.32/6.40 cnf(91,plain,
% 6.32/6.40 (~P4(a1,a2,a1)),
% 6.32/6.40 inference(scs_inference,[],[4,2,5,34,54,31,60,36,40,44,30,22,10,9,25,24,21,17,16,23,11,28])).
% 6.32/6.40 cnf(93,plain,
% 6.32/6.40 (P4(f7(a4,a4),f7(a1,a1),f7(a1,a1))),
% 6.32/6.40 inference(scs_inference,[],[4,2,5,34,54,31,60,36,40,44,30,22,10,9,25,24,21,17,16,23,11,28,27])).
% 6.32/6.40 cnf(105,plain,
% 6.32/6.40 (~P3(f7(a1,a1),a4)+P4(f6(a4),f7(a1,a1),f7(a1,a1))+P2(a1,a4,a1)),
% 6.32/6.40 inference(scs_inference,[],[4,2,5,34,54,31,58,60,36,40,44,30,22,10,9,25,24,21,17,16,23,11,28,27,20,18,19,15,29,26])).
% 6.32/6.40 cnf(107,plain,
% 6.32/6.40 (P2(a1,f3(a1,a1),f3(a1,a1))),
% 6.32/6.40 inference(scs_inference,[],[34,44,24])).
% 6.32/6.40 cnf(109,plain,
% 6.32/6.40 (P2(f7(a1,a1),f7(a1,a1),f7(a1,a1))),
% 6.32/6.40 inference(scs_inference,[],[42,34,44,24,28])).
% 6.32/6.40 cnf(111,plain,
% 6.32/6.40 (~P4(a2,a1,a1)),
% 6.32/6.40 inference(scs_inference,[],[91,42,34,44,24,28,22])).
% 6.32/6.40 cnf(113,plain,
% 6.32/6.40 (~P2(a1,f6(a2),a4)),
% 6.32/6.40 inference(scs_inference,[],[79,91,42,34,44,24,28,22,21])).
% 6.32/6.40 cnf(115,plain,
% 6.32/6.40 (~P4(a2,a4,a4)),
% 6.32/6.40 inference(scs_inference,[],[79,91,32,42,34,44,24,28,22,21,26])).
% 6.32/6.40 cnf(117,plain,
% 6.32/6.40 (~P2(f5(a1),a2,f5(a1))),
% 6.32/6.40 inference(scs_inference,[],[6,79,81,91,32,42,34,44,24,28,22,21,26,25])).
% 6.32/6.40 cnf(119,plain,
% 6.32/6.40 (~P2(a4,a4,a2)),
% 6.40/6.40 inference(scs_inference,[],[6,79,81,91,32,42,34,44,24,28,22,21,26,25,29])).
% 6.40/6.40 cnf(121,plain,
% 6.40/6.40 (P3(a2,a2)),
% 6.40/6.40 inference(scs_inference,[],[6,3,79,81,91,32,42,34,44,24,28,22,21,26,25,29,8])).
% 6.40/6.40 cnf(123,plain,
% 6.40/6.40 (~P4(a4,a4,a2)),
% 6.40/6.40 inference(scs_inference,[],[6,3,79,81,91,32,42,34,44,24,28,22,21,26,25,29,8,27])).
% 6.40/6.40 cnf(131,plain,
% 6.40/6.40 (P4(f7(a1,a1),f7(a4,a4),f7(a1,a1))),
% 6.40/6.40 inference(scs_inference,[],[93,22])).
% 6.40/6.40 cnf(133,plain,
% 6.40/6.40 (~P4(a2,f6(a2),f6(a2))),
% 6.40/6.40 inference(scs_inference,[],[93,115,40,22,26])).
% 6.40/6.40 cnf(135,plain,
% 6.40/6.40 (P2(f3(a1,a1),a1,f3(a1,a1))),
% 6.40/6.40 inference(scs_inference,[],[93,107,115,40,44,22,26,25])).
% 6.40/6.40 cnf(137,plain,
% 6.40/6.40 (P4(f3(a4,a4),f7(a1,a1),f7(a1,a1))),
% 6.40/6.40 inference(scs_inference,[],[109,93,107,85,115,40,44,54,22,26,25,29])).
% 6.40/6.40 cnf(139,plain,
% 6.40/6.40 (P2(f5(a1),f3(a1,a1),f3(a1,a1))),
% 6.40/6.40 inference(scs_inference,[],[109,93,107,85,115,40,36,44,54,22,26,25,29,24])).
% 6.40/6.40 cnf(141,plain,
% 6.40/6.40 (P2(a1,a2,a2)),
% 6.40/6.40 inference(scs_inference,[],[109,93,107,121,85,115,40,36,44,54,22,26,25,29,24,18])).
% 6.40/6.40 cnf(143,plain,
% 6.40/6.40 (P2(f3(a1,a1),f5(a1),f3(a1,a1))),
% 6.40/6.40 inference(scs_inference,[],[109,93,107,121,85,115,40,36,44,54,22,26,25,29,24,18,21])).
% 6.40/6.40 cnf(147,plain,
% 6.40/6.40 (~P2(a2,x1471,x1472)+~P2(a2,x1471,x1473)+P3(x1472,x1473)),
% 6.40/6.40 inference(scs_inference,[],[109,93,107,121,83,85,115,40,36,44,54,22,26,25,29,24,18,21,28,23])).
% 6.40/6.40 cnf(153,plain,
% 6.40/6.40 (P2(f3(a1,a1),f3(a1,a1),f3(a1,a1))),
% 6.40/6.40 inference(scs_inference,[],[135,44,24])).
% 6.40/6.40 cnf(155,plain,
% 6.40/6.40 (~P4(f6(a2),a2,f6(a2))),
% 6.40/6.40 inference(scs_inference,[],[135,133,44,24,22])).
% 6.40/6.40 cnf(157,plain,
% 6.40/6.40 (~P2(f5(a1),a2,a1)),
% 6.40/6.40 inference(scs_inference,[],[135,133,141,36,44,6,24,22,25])).
% 6.40/6.40 cnf(159,plain,
% 6.40/6.40 (P2(a1,f6(a2),f6(a2))),
% 6.40/6.40 inference(scs_inference,[],[135,133,141,58,36,44,6,24,22,25,18])).
% 6.40/6.40 cnf(161,plain,
% 6.40/6.40 (~P2(a2,f5(a1),f5(a1))),
% 6.40/6.40 inference(scs_inference,[],[135,117,133,141,58,36,44,6,24,22,25,18,21])).
% 6.40/6.40 cnf(163,plain,
% 6.40/6.40 (P4(a4,a2,a2)),
% 6.40/6.40 inference(scs_inference,[],[3,135,117,133,141,58,36,44,6,24,22,25,18,21,13])).
% 6.40/6.40 cnf(165,plain,
% 6.40/6.40 (P1(f5(a2))),
% 6.40/6.40 inference(scs_inference,[],[3,135,117,133,141,58,36,44,6,24,22,25,18,21,13,7])).
% 6.40/6.40 cnf(167,plain,
% 6.40/6.40 (P2(f5(a2),a2,a1)),
% 6.40/6.40 inference(scs_inference,[],[3,135,117,133,141,58,36,44,6,24,22,25,18,21,13,7,14])).
% 6.40/6.40 cnf(169,plain,
% 6.40/6.40 (P2(a1,a4,a4)),
% 6.40/6.40 inference(scs_inference,[],[3,2,135,117,133,141,58,36,44,6,24,22,25,18,21,13,7,14,12])).
% 6.40/6.40 cnf(173,plain,
% 6.40/6.40 (~P4(a1,a1,a2)),
% 6.40/6.40 inference(scs_inference,[],[30,3,2,137,135,117,133,141,58,36,44,6,32,24,22,25,18,21,13,7,14,12,26,28])).
% 6.40/6.40 cnf(182,plain,
% 6.40/6.40 (~P4(a4,f7(a1,a1),a2)),
% 6.40/6.40 inference(scs_inference,[],[173,52])).
% 6.40/6.40 cnf(184,plain,
% 6.40/6.40 (P2(f6(a2),a1,f6(a2))),
% 6.40/6.40 inference(scs_inference,[],[159,173,4,52,25])).
% 6.40/6.40 cnf(186,plain,
% 6.40/6.40 (P4(a2,a4,a2)),
% 6.40/6.40 inference(scs_inference,[],[159,163,173,4,52,25,22])).
% 6.40/6.40 cnf(190,plain,
% 6.40/6.40 (~P2(a2,f5(a2),f5(a2))),
% 6.40/6.40 inference(scs_inference,[],[30,159,155,167,163,173,40,4,52,25,22,26,24])).
% 6.40/6.40 cnf(192,plain,
% 6.40/6.40 (P2(a2,f5(a2),a1)),
% 6.40/6.40 inference(scs_inference,[],[30,159,155,167,163,173,40,4,52,25,22,26,24,21])).
% 6.40/6.40 cnf(196,plain,
% 6.40/6.40 (P3(a4,a4)),
% 6.40/6.40 inference(scs_inference,[],[30,31,159,155,167,123,163,169,173,40,4,52,25,22,26,24,21,27,23])).
% 6.40/6.40 cnf(198,plain,
% 6.40/6.40 (P1(f7(a2,a2))),
% 6.40/6.40 inference(scs_inference,[],[30,31,3,159,155,167,123,163,169,173,40,4,52,25,22,26,24,21,27,23,10])).
% 6.40/6.40 cnf(200,plain,
% 6.40/6.40 (P1(f3(a2,a2))),
% 6.40/6.40 inference(scs_inference,[],[30,31,3,159,155,167,123,163,169,173,40,4,52,25,22,26,24,21,27,23,10,9])).
% 6.40/6.40 cnf(202,plain,
% 6.40/6.40 (P4(a2,a2,f7(a2,a2))),
% 6.40/6.40 inference(scs_inference,[],[30,31,3,159,155,167,123,163,169,173,40,4,52,25,22,26,24,21,27,23,10,9,17])).
% 6.40/6.40 cnf(204,plain,
% 6.40/6.40 (P2(a2,a2,f3(a2,a2))),
% 6.40/6.40 inference(scs_inference,[],[30,31,3,159,155,167,123,163,169,173,40,4,52,25,22,26,24,21,27,23,10,9,17,16])).
% 6.40/6.40 cnf(208,plain,
% 6.40/6.40 (P4(f3(a2,a2),a4,f3(a2,a2))),
% 6.40/6.40 inference(scs_inference,[],[30,31,3,159,155,167,123,163,169,173,40,4,52,25,22,26,24,21,27,23,10,9,17,16,28,29])).
% 6.40/6.40 cnf(220,plain,
% 6.40/6.40 (P2(f7(a1,a1),f7(a1,a1),f3(f7(a1,a1),f7(a1,a1)))),
% 6.40/6.40 inference(scs_inference,[],[48,204,147,9,17,10,16])).
% 6.40/6.40 cnf(224,plain,
% 6.40/6.40 (~P4(f7(a1,a1),a4,a2)),
% 6.40/6.40 inference(scs_inference,[],[48,182,204,60,147,9,17,10,16,20,22])).
% 6.40/6.40 cnf(226,plain,
% 6.40/6.40 (P2(f6(a2),f5(a1),f6(a2))),
% 6.40/6.40 inference(scs_inference,[],[184,48,182,204,81,60,147,9,17,10,16,20,22,25])).
% 6.40/6.40 cnf(228,plain,
% 6.40/6.40 (P2(a1,f3(a2,a2),f3(a2,a2))),
% 6.40/6.40 inference(scs_inference,[],[184,48,182,204,81,141,60,147,9,17,10,16,20,22,25,24])).
% 6.40/6.40 cnf(230,plain,
% 6.40/6.40 (~P4(f3(a4,a4),a1,a4)),
% 6.40/6.40 inference(scs_inference,[],[5,32,184,48,182,204,85,81,141,60,147,9,17,10,16,20,22,25,24,28])).
% 6.40/6.40 cnf(232,plain,
% 6.40/6.40 (~P2(f5(a2),a2,f5(a2))),
% 6.40/6.40 inference(scs_inference,[],[5,32,184,48,190,182,204,85,81,141,60,147,9,17,10,16,20,22,25,24,28,21])).
% 6.40/6.40 cnf(234,plain,
% 6.40/6.40 (P4(f3(a1,a1),a1,f7(a1,a1))),
% 6.40/6.40 inference(scs_inference,[],[5,32,184,48,190,182,204,85,109,81,141,44,42,60,147,9,17,10,16,20,22,25,24,28,21,29])).
% 6.40/6.40 cnf(245,plain,
% 6.40/6.40 (P4(a1,a4,a1)),
% 6.40/6.40 inference(scs_inference,[],[32,22])).
% 6.40/6.40 cnf(247,plain,
% 6.40/6.40 (~P2(a1,f3(a4,a4),a2)),
% 6.40/6.40 inference(scs_inference,[],[32,119,169,85,22,25])).
% 6.40/6.40 cnf(249,plain,
% 6.40/6.40 (P2(f3(a2,a2),a1,f3(a2,a2))),
% 6.40/6.40 inference(scs_inference,[],[32,228,119,169,85,22,25,21])).
% 6.40/6.40 cnf(251,plain,
% 6.40/6.40 (~P2(f6(a2),f5(a1),a4)),
% 6.40/6.40 inference(scs_inference,[],[32,228,113,226,119,169,159,85,22,25,21,24])).
% 6.40/6.40 cnf(253,plain,
% 6.40/6.40 (~P4(f7(a1,a1),f6(a2),a4)),
% 6.40/6.40 inference(scs_inference,[],[32,228,113,226,224,119,169,163,159,85,40,22,25,21,24,26])).
% 6.40/6.40 cnf(255,plain,
% 6.40/6.40 (P4(f7(a4,a4),a1,a1)),
% 6.40/6.40 inference(scs_inference,[],[32,228,113,226,224,119,83,169,163,159,85,40,22,25,21,24,26,27])).
% 6.40/6.40 cnf(261,plain,
% 6.40/6.40 (P2(a1,f3(a4,a4),f3(a4,a4))),
% 6.40/6.40 inference(scs_inference,[],[32,228,202,113,226,224,119,196,83,169,163,159,85,40,22,25,21,24,26,27,23,28,18])).
% 6.40/6.40 cnf(265,plain,
% 6.40/6.40 (~P4(f6(a2),f7(a1,a1),a4)),
% 6.40/6.40 inference(scs_inference,[],[253,22])).
% 6.40/6.40 cnf(267,plain,
% 6.40/6.40 (~P2(a1,a1,f5(a2))),
% 6.40/6.40 inference(scs_inference,[],[253,192,190,141,22,25])).
% 6.40/6.40 cnf(269,plain,
% 6.40/6.40 (~P2(f5(a1),f6(a2),a4)),
% 6.40/6.40 inference(scs_inference,[],[253,251,192,190,141,22,25,21])).
% 6.40/6.40 cnf(271,plain,
% 6.40/6.40 (~P4(a1,a4,a2)),
% 6.40/6.40 inference(scs_inference,[],[30,34,253,251,245,192,190,141,22,25,21,28])).
% 6.40/6.40 cnf(273,plain,
% 6.40/6.40 (~P4(a4,a1,a2)),
% 6.40/6.40 inference(scs_inference,[],[30,34,32,253,251,245,192,190,141,22,25,21,28,27])).
% 6.40/6.40 cnf(275,plain,
% 6.40/6.40 (~P2(a1,a4,a1)),
% 6.40/6.40 inference(scs_inference,[],[30,34,5,32,253,251,245,192,190,169,141,22,25,21,28,27,24])).
% 6.40/6.40 cnf(277,plain,
% 6.40/6.40 (~P4(a4,a1,a4)),
% 6.40/6.40 inference(scs_inference,[],[30,34,5,32,253,251,230,245,192,190,169,141,85,22,25,21,28,27,24,29])).
% 6.40/6.40 cnf(280,plain,
% 6.40/6.40 (P4(a4,f3(a1,a1),f3(a1,a1))),
% 6.40/6.40 inference(scs_inference,[],[30,34,5,32,50,253,251,230,245,192,190,169,141,85,22,25,21,28,27,24,29,105,13])).
% 6.40/6.40 cnf(284,plain,
% 6.40/6.40 (P2(f5(f3(a1,a1)),f3(a1,a1),a1)),
% 6.40/6.40 inference(scs_inference,[],[30,34,5,32,50,253,251,230,245,192,190,169,141,85,22,25,21,28,27,24,29,105,13,7,14])).
% 6.40/6.40 cnf(306,plain,
% 6.40/6.40 (P4(f6(a4),a4,a4)),
% 6.40/6.40 inference(scs_inference,[],[275,2,19])).
% 6.40/6.40 cnf(308,plain,
% 6.40/6.40 (P1(f6(a4))),
% 6.40/6.40 inference(scs_inference,[],[275,2,19,15])).
% 6.40/6.40 cnf(310,plain,
% 6.40/6.40 (P2(f3(a1,a1),f5(f3(a1,a1)),a1)),
% 6.40/6.40 inference(scs_inference,[],[284,275,2,19,15,21])).
% 6.40/6.40 cnf(314,plain,
% 6.40/6.40 (P4(a1,f3(a1,a1),f7(a1,a1))),
% 6.40/6.40 inference(scs_inference,[],[34,234,284,157,275,167,2,19,15,21,25,22])).
% 6.40/6.40 cnf(316,plain,
% 6.40/6.40 (~P4(f7(a4,a4),a1,a2)),
% 6.40/6.40 inference(scs_inference,[],[34,234,284,255,157,271,275,167,245,2,19,15,21,25,22,27])).
% 6.40/6.40 cnf(318,plain,
% 6.40/6.40 (~P2(a1,f5(a2),a1)),
% 6.40/6.40 inference(scs_inference,[],[34,56,234,284,255,157,271,275,167,245,141,2,19,15,21,25,22,27,24])).
% 6.40/6.40 cnf(320,plain,
% 6.40/6.40 (P2(f7(a1,a1),f3(a1,a1),f3(a1,a1))),
% 6.40/6.40 inference(scs_inference,[],[34,56,234,284,280,255,157,271,275,167,245,169,141,2,19,15,21,25,22,27,24,28])).
% 6.40/6.40 cnf(322,plain,
% 6.40/6.40 (P4(f6(a4),f3(a1,a1),f3(a1,a1))),
% 6.40/6.40 inference(scs_inference,[],[34,56,234,284,280,255,157,271,275,167,245,169,141,2,19,15,21,25,22,27,24,28,26])).
% 6.40/6.40 cnf(338,plain,
% 6.40/6.40 (~P4(a1,f7(a4,a4),a2)),
% 6.40/6.40 inference(scs_inference,[],[247,316,21,22])).
% 6.40/6.40 cnf(340,plain,
% 6.40/6.40 (~P2(f3(a1,a1),f5(a2),f3(a1,a1))),
% 6.40/6.40 inference(scs_inference,[],[247,316,318,284,21,22,25])).
% 6.40/6.40 cnf(342,plain,
% 6.40/6.40 (~P4(a2,f6(a4),a4)),
% 6.40/6.40 inference(scs_inference,[],[306,247,316,318,123,284,186,21,22,25,27])).
% 6.40/6.40 cnf(344,plain,
% 6.40/6.40 (P2(f7(a1,a1),a1,a1)),
% 6.40/6.40 inference(scs_inference,[],[320,306,247,310,316,318,123,284,186,21,22,25,27,24])).
% 6.40/6.40 cnf(346,plain,
% 6.40/6.40 (P4(f3(a1,a1),a4,f3(a1,a1))),
% 6.40/6.40 inference(scs_inference,[],[320,306,247,310,316,318,123,284,186,245,44,21,22,25,27,24,29])).
% 6.40/6.40 cnf(348,plain,
% 6.40/6.40 (~P4(f5(a1),a4,a2)),
% 6.40/6.40 inference(scs_inference,[],[36,30,320,306,247,310,316,318,123,284,186,245,44,21,22,25,27,24,29,28])).
% 6.40/6.40 cnf(350,plain,
% 6.40/6.40 (~P4(a4,f6(a4),a2)),
% 6.40/6.40 inference(scs_inference,[],[36,30,320,306,247,310,316,318,123,284,186,245,44,21,22,25,27,24,29,28,26])).
% 6.40/6.40 cnf(354,plain,
% 6.40/6.40 (P4(f6(a2),f6(a2),f7(f6(a2),f6(a2)))),
% 6.40/6.40 inference(scs_inference,[],[36,30,320,306,247,310,46,316,318,123,284,186,245,44,21,22,25,27,24,29,28,26,9,17])).
% 6.40/6.40 cnf(356,plain,
% 6.40/6.40 (P3(f7(a4,a4),f7(a4,a4))),
% 6.40/6.40 inference(scs_inference,[],[36,30,320,306,247,310,46,73,316,318,123,284,186,245,44,21,22,25,27,24,29,28,26,9,17,8])).
% 6.40/6.40 cnf(358,plain,
% 6.40/6.40 (P2(f6(a2),f6(a2),f3(f6(a2),f6(a2)))),
% 6.40/6.40 inference(scs_inference,[],[36,30,320,306,247,310,46,73,316,318,123,284,186,245,44,21,22,25,27,24,29,28,26,9,17,8,16])).
% 6.40/6.40 cnf(364,plain,
% 6.40/6.40 (P4(f3(a4,a4),f3(a4,a4),f7(f3(a4,a4),f3(a4,a4)))),
% 6.40/6.40 inference(scs_inference,[],[75,17])).
% 6.40/6.40 cnf(368,plain,
% 6.40/6.40 (P2(f3(a4,a4),f3(a4,a4),f3(f3(a4,a4),f3(a4,a4)))),
% 6.40/6.40 inference(scs_inference,[],[75,17,9,16])).
% 6.40/6.40 cnf(372,plain,
% 6.40/6.40 (P4(f3(a1,a1),f6(a4),f3(a1,a1))),
% 6.40/6.40 inference(scs_inference,[],[322,75,17,9,16,10,22])).
% 6.40/6.40 cnf(374,plain,
% 6.40/6.40 (P2(a1,f7(a1,a1),a1)),
% 6.40/6.40 inference(scs_inference,[],[322,75,344,17,9,16,10,22,21])).
% 6.40/6.40 cnf(376,plain,
% 6.40/6.40 (~P2(f5(a1),a1,a4)),
% 6.40/6.40 inference(scs_inference,[],[5,36,34,322,75,344,17,9,16,10,22,21,25])).
% 6.40/6.40 cnf(378,plain,
% 6.40/6.40 (P2(f5(a1),f3(a4,a4),f3(a4,a4))),
% 6.40/6.40 inference(scs_inference,[],[5,36,34,322,75,344,261,17,9,16,10,22,21,25,24])).
% 6.40/6.40 cnf(380,plain,
% 6.40/6.40 (P4(f7(f3(a4,a4),f3(a4,a4)),f7(a1,a1),f7(a1,a1))),
% 6.40/6.40 inference(scs_inference,[],[5,36,34,322,75,344,261,137,17,9,16,10,22,21,25,24,27])).
% 6.40/6.40 cnf(382,plain,
% 6.40/6.40 (P4(a1,f3(a1,a1),f3(f7(a1,a1),f7(a1,a1)))),
% 6.40/6.40 inference(scs_inference,[],[5,36,34,220,322,314,75,344,261,137,17,9,16,10,22,21,25,24,27,29])).
% 6.40/6.40 cnf(384,plain,
% 6.40/6.40 (~P4(f5(a1),a4,f5(a2))),
% 6.40/6.40 inference(scs_inference,[],[5,36,34,220,322,340,314,346,75,344,261,143,137,17,9,16,10,22,21,25,24,27,29,28])).
% 6.40/6.40 cnf(386,plain,
% 6.40/6.40 (~P4(a1,a4,a4)),
% 6.40/6.40 inference(scs_inference,[],[5,36,34,32,220,322,340,277,314,346,75,344,261,143,137,245,17,9,16,10,22,21,25,24,27,29,28,26])).
% 6.40/6.40 cnf(399,plain,
% 6.40/6.40 (~P4(a4,f5(a1),f5(a2))),
% 6.40/6.40 inference(scs_inference,[],[384,22])).
% 6.40/6.40 cnf(401,plain,
% 6.40/6.40 (~P2(a1,f5(a1),a4)),
% 6.40/6.40 inference(scs_inference,[],[384,376,22,21])).
% 6.40/6.40 cnf(403,plain,
% 6.40/6.40 (~P2(f3(a1,a1),a2,f3(a1,a1))),
% 6.40/6.40 inference(scs_inference,[],[384,376,340,135,192,22,21,25])).
% 6.40/6.40 cnf(405,plain,
% 6.40/6.40 (~P2(a1,a2,f5(a1))),
% 6.40/6.40 inference(scs_inference,[],[36,77,384,376,340,135,192,141,22,21,25,24])).
% 6.40/6.40 cnf(407,plain,
% 6.40/6.40 (P4(f3(a4,a4),f3(a1,a1),f3(a1,a1))),
% 6.40/6.40 inference(scs_inference,[],[36,77,384,376,153,340,135,280,192,141,85,22,21,25,24,29])).
% 6.40/6.40 cnf(409,plain,
% 6.40/6.40 (~P4(f7(f3(a4,a4),f3(a4,a4)),f7(a1,a1),a2)),
% 6.40/6.40 inference(scs_inference,[],[36,380,77,384,376,153,340,224,71,135,280,192,141,85,22,21,25,24,29,27])).
% 6.40/6.40 cnf(411,plain,
% 6.40/6.40 (P4(f3(a2,a2),f7(a4,a4),f3(a2,a2))),
% 6.40/6.40 inference(scs_inference,[],[36,380,77,384,376,153,208,340,224,71,135,280,192,83,141,85,22,21,25,24,29,27,26])).
% 6.40/6.40 cnf(413,plain,
% 6.40/6.40 (P2(a1,f7(a4,a4),f7(a4,a4))),
% 6.40/6.40 inference(scs_inference,[],[36,380,356,77,384,376,153,208,340,224,71,135,280,192,83,141,85,22,21,25,24,29,27,26,18])).
% 6.40/6.40 cnf(417,plain,
% 6.40/6.40 (P4(a4,f5(a1),f5(a1))),
% 6.40/6.40 inference(scs_inference,[],[38,36,380,356,77,384,376,153,208,340,224,71,135,280,192,83,141,85,22,21,25,24,29,27,26,18,7,13])).
% 6.40/6.41 cnf(419,plain,
% 6.40/6.41 (P2(f5(f5(a1)),f5(a1),a1)),
% 6.40/6.41 inference(scs_inference,[],[38,36,380,356,77,384,376,153,208,340,224,71,135,280,192,83,141,85,22,21,25,24,29,27,26,18,7,13,14])).
% 6.40/6.41 cnf(421,plain,
% 6.40/6.41 (P2(a1,f5(a1),f5(a1))),
% 6.40/6.41 inference(scs_inference,[],[38,36,380,356,77,384,376,153,208,340,224,71,135,280,192,83,141,85,22,21,25,24,29,27,26,18,7,13,14,12])).
% 6.40/6.41 cnf(427,plain,
% 6.40/6.41 (P2(f7(a4,a4),a1,f7(a4,a4))),
% 6.40/6.41 inference(scs_inference,[],[413,21])).
% 6.40/6.41 cnf(429,plain,
% 6.40/6.41 (P2(f3(f7(a1,a1),f7(a1,a1)),f3(a1,a1),f3(a1,a1))),
% 6.40/6.41 inference(scs_inference,[],[413,220,320,21,25])).
% 6.40/6.41 cnf(431,plain,
% 6.40/6.41 (P4(f3(a1,a1),f3(a4,a4),f3(a1,a1))),
% 6.40/6.41 inference(scs_inference,[],[407,413,220,320,21,25,22])).
% 6.40/6.41 cnf(433,plain,
% 6.40/6.41 (~P2(f7(a1,a1),a1,a2)),
% 6.40/6.41 inference(scs_inference,[],[32,407,413,273,220,320,169,42,21,25,22,29])).
% 6.40/6.41 cnf(435,plain,
% 6.40/6.41 (~P4(f3(a4,a4),f7(a1,a1),a2)),
% 6.40/6.41 inference(scs_inference,[],[32,364,407,413,409,273,220,320,137,169,42,21,25,22,29,27])).
% 6.40/6.41 cnf(437,plain,
% 6.40/6.41 (~P2(f5(a1),a1,f5(a2))),
% 6.40/6.41 inference(scs_inference,[],[36,32,364,407,413,421,267,409,273,220,320,137,169,42,21,25,22,29,27,24])).
% 6.40/6.41 cnf(439,plain,
% 6.40/6.41 (~P4(a1,f5(a1),a2)),
% 6.40/6.41 inference(scs_inference,[],[36,32,364,407,413,161,421,267,409,417,273,220,320,137,169,42,21,25,22,29,27,24,28])).
% 6.40/6.41 cnf(441,plain,
% 6.40/6.41 (P4(f6(a4),f5(a1),f5(a1))),
% 6.40/6.41 inference(scs_inference,[],[36,32,364,407,413,161,421,267,409,417,273,220,320,137,306,169,42,21,25,22,29,27,24,28,26])).
% 6.40/6.41 cnf(443,plain,
% 6.40/6.41 (P4(f6(f5(a2)),f5(a2),a4)),
% 6.40/6.41 inference(scs_inference,[],[36,32,364,407,413,161,421,267,409,417,273,220,320,318,165,137,306,169,42,21,25,22,29,27,24,28,26,19])).
% 6.40/6.41 cnf(447,plain,
% 6.40/6.41 (P3(f7(a2,a2),f7(a2,a2))),
% 6.40/6.41 inference(scs_inference,[],[36,32,364,407,413,161,421,267,409,198,417,273,220,320,318,165,137,306,169,42,21,25,22,29,27,24,28,26,19,15,8])).
% 6.40/6.41 cnf(451,plain,
% 6.40/6.41 (~P3(f7(a1,a1),f7(a1,a1))+P2(a1,f7(a1,a1),f7(a1,a1))),
% 6.40/6.41 inference(scs_inference,[],[36,32,364,407,413,161,421,267,409,198,417,273,220,320,318,165,109,137,306,169,42,21,25,22,29,27,24,28,26,19,15,8,23,18])).
% 6.40/6.41 cnf(454,plain,
% 6.40/6.41 (~P2(f5(a1),a4,f5(a1))),
% 6.40/6.41 inference(scs_inference,[],[419,275,25])).
% 6.40/6.41 cnf(456,plain,
% 6.40/6.41 (~P4(f7(a1,a1),f3(a4,a4),a2)),
% 6.40/6.41 inference(scs_inference,[],[435,419,275,25,22])).
% 6.40/6.41 cnf(458,plain,
% 6.40/6.41 (~P2(a2,f3(a1,a1),f3(a1,a1))),
% 6.40/6.41 inference(scs_inference,[],[435,403,419,275,25,22,21])).
% 6.40/6.41 cnf(460,plain,
% 6.40/6.41 (~P4(a4,a2,f5(a1))),
% 6.40/6.41 inference(scs_inference,[],[435,403,419,348,163,275,186,25,22,21,27])).
% 6.40/6.41 cnf(462,plain,
% 6.40/6.41 (P2(f5(a1),f7(a4,a4),f7(a4,a4))),
% 6.40/6.41 inference(scs_inference,[],[36,435,403,419,348,413,163,275,186,25,22,21,27,24])).
% 6.40/6.41 cnf(464,plain,
% 6.40/6.41 (~P4(f3(f6(a2),f6(a2)),a2,a2)),
% 6.40/6.41 inference(scs_inference,[],[40,36,435,403,358,419,348,119,413,163,275,186,25,22,21,27,24,28])).
% 6.40/6.41 cnf(466,plain,
% 6.40/6.41 (~P4(f5(a1),f6(a2),a4)),
% 6.40/6.41 inference(scs_inference,[],[40,36,435,403,358,419,348,119,413,163,275,186,25,22,21,27,24,28,26])).
% 6.40/6.41 cnf(484,plain,
% 6.40/6.41 (P4(a2,f6(a2),a4)),
% 6.40/6.41 inference(scs_inference,[],[40,22])).
% 6.40/6.41 cnf(486,plain,
% 6.40/6.41 (P2(f3(a1,a1),f3(f7(a1,a1),f7(a1,a1)),f3(a1,a1))),
% 6.40/6.41 inference(scs_inference,[],[40,429,22,21])).
% 6.40/6.41 cnf(488,plain,
% 6.40/6.41 (~P2(f7(a1,a1),a2,f5(a1))),
% 6.40/6.41 inference(scs_inference,[],[40,429,405,374,421,22,21,25])).
% 6.40/6.41 cnf(490,plain,
% 6.40/6.41 (P2(f5(f5(a1)),a1,a1)),
% 6.40/6.41 inference(scs_inference,[],[40,34,36,429,405,419,374,421,22,21,25,24])).
% 6.40/6.41 cnf(492,plain,
% 6.40/6.41 (~P4(a1,a4,f5(a2))),
% 6.40/6.41 inference(scs_inference,[],[40,34,36,429,405,267,419,374,421,245,22,21,25,24,28])).
% 6.40/6.41 cnf(494,plain,
% 6.40/6.41 (~P4(f5(a2),a1,f5(a2))),
% 6.40/6.41 inference(scs_inference,[],[40,34,36,429,443,405,267,277,419,374,421,245,22,21,25,24,28,27])).
% 6.40/6.41 cnf(496,plain,
% 6.40/6.41 (P4(f6(a2),a4,f6(a2))),
% 6.40/6.41 inference(scs_inference,[],[40,34,36,429,443,405,267,277,419,374,421,245,4,22,21,25,24,28,27,29])).
% 6.40/6.41 cnf(498,plain,
% 6.40/6.41 (~P4(f3(f6(a2),f6(a2)),a4,a4)),
% 6.40/6.41 inference(scs_inference,[],[40,34,36,429,443,464,405,267,277,419,374,421,163,245,4,22,21,25,24,28,27,29,26])).
% 6.40/6.41 cnf(500,plain,
% 6.40/6.41 (P2(a1,f7(a2,a2),f7(a2,a2))),
% 6.40/6.41 inference(scs_inference,[],[40,34,36,429,447,443,464,405,267,277,419,374,421,163,245,4,22,21,25,24,28,27,29,26,18])).
% 6.40/6.41 cnf(506,plain,
% 6.40/6.41 (P2(f5(a1),f5(a1),f3(f5(a1),f5(a1)))),
% 6.40/6.41 inference(scs_inference,[],[38,40,34,36,429,447,443,464,405,267,277,419,374,421,163,245,4,22,21,25,24,28,27,29,26,18,9,17,16])).
% 6.40/6.41 cnf(512,plain,
% 6.40/6.41 (P4(f6(a4),f6(a4),f7(f6(a4),f6(a4)))),
% 6.40/6.41 inference(scs_inference,[],[308,9,17])).
% 6.40/6.41 cnf(514,plain,
% 6.40/6.41 (P2(f6(a4),f6(a4),f3(f6(a4),f6(a4)))),
% 6.40/6.41 inference(scs_inference,[],[308,9,17,16])).
% 6.40/6.41 cnf(520,plain,
% 6.40/6.41 (~P2(f5(f5(a1)),a1,a2)),
% 6.40/6.41 inference(scs_inference,[],[36,308,488,56,419,9,17,16,10,21,25])).
% 6.40/6.41 cnf(522,plain,
% 6.40/6.41 (~P4(f6(a2),f5(a1),a4)),
% 6.40/6.41 inference(scs_inference,[],[36,308,488,466,56,419,9,17,16,10,21,25,22])).
% 6.40/6.41 cnf(524,plain,
% 6.40/6.41 (~P4(f3(f7(a1,a1),f7(a1,a1)),f3(a4,a4),a2)),
% 6.40/6.41 inference(scs_inference,[],[36,431,486,308,488,466,56,403,419,9,17,16,10,21,25,22,28])).
% 6.40/6.41 cnf(526,plain,
% 6.40/6.41 (P4(f7(f6(a2),f6(a2)),a2,f6(a2))),
% 6.40/6.41 inference(scs_inference,[],[40,36,431,486,354,308,488,466,496,56,403,419,9,17,16,10,21,25,22,28,27])).
% 6.40/6.41 cnf(530,plain,
% 6.40/6.41 (~P2(f7(a1,a1),f7(a1,a1),a2)),
% 6.40/6.41 inference(scs_inference,[],[42,40,36,34,431,486,354,308,488,269,466,496,56,403,173,419,169,9,17,16,10,21,25,22,28,27,24,29])).
% 6.40/6.41 cnf(532,plain,
% 6.40/6.41 (P4(f3(a1,a1),f7(f3(a4,a4),f3(a4,a4)),f3(a1,a1))),
% 6.40/6.41 inference(scs_inference,[],[42,40,36,34,431,486,354,308,488,269,466,496,364,56,403,173,419,169,9,17,16,10,21,25,22,28,27,24,29,26])).
% 6.40/6.41 cnf(534,plain,
% 6.40/6.41 (P4(a4,f6(a4),f6(a4))),
% 6.40/6.41 inference(scs_inference,[],[42,40,36,34,431,486,354,308,488,269,466,496,364,56,403,173,419,169,9,17,16,10,21,25,22,28,27,24,29,26,13])).
% 6.40/6.41 cnf(538,plain,
% 6.40/6.41 (P2(f5(f6(a4)),f6(a4),a1)),
% 6.40/6.41 inference(scs_inference,[],[42,40,36,34,431,486,354,308,488,269,466,496,364,56,403,173,419,169,9,17,16,10,21,25,22,28,27,24,29,26,13,7,14])).
% 6.40/6.41 cnf(540,plain,
% 6.40/6.41 (P2(a1,f6(a4),f6(a4))),
% 6.40/6.41 inference(scs_inference,[],[42,40,36,34,431,486,354,308,488,269,466,496,364,56,403,173,419,169,9,17,16,10,21,25,22,28,27,24,29,26,13,7,14,12])).
% 6.40/6.41 cnf(550,plain,
% 6.40/6.41 (P2(f7(a2,a2),a1,f7(a2,a2))),
% 6.40/6.41 inference(scs_inference,[],[500,21])).
% 6.40/6.41 cnf(552,plain,
% 6.40/6.41 (P2(f3(f5(a1),f5(a1)),a1,a1)),
% 6.40/6.41 inference(scs_inference,[],[36,500,506,21,25])).
% 6.40/6.41 cnf(554,plain,
% 6.40/6.41 (P4(f7(f3(a4,a4),f3(a4,a4)),f3(a1,a1),f3(a1,a1))),
% 6.40/6.41 inference(scs_inference,[],[36,500,532,506,21,25,22])).
% 6.40/6.41 cnf(556,plain,
% 6.40/6.41 (~P2(a1,a2,f7(a1,a1))),
% 6.40/6.41 inference(scs_inference,[],[36,500,532,506,530,344,141,21,25,22,24])).
% 6.40/6.41 cnf(558,plain,
% 6.40/6.41 (P4(f3(f3(a4,a4),f3(a4,a4)),f3(a1,a1),f3(a1,a1))),
% 6.40/6.41 inference(scs_inference,[],[36,368,500,532,506,530,407,344,153,141,21,25,22,24,29])).
% 6.40/6.41 cnf(560,plain,
% 6.40/6.41 (~P4(a1,f3(a1,a1),a2)),
% 6.40/6.41 inference(scs_inference,[],[36,368,500,532,382,506,530,524,407,344,153,431,141,21,25,22,24,29,27])).
% 6.40/6.41 cnf(562,plain,
% 6.40/6.41 (~P4(f3(f6(a2),f6(a2)),f6(a2),f6(a2))),
% 6.40/6.41 inference(scs_inference,[],[40,36,368,500,532,382,506,530,524,498,407,344,153,431,141,21,25,22,24,29,27,26])).
% 6.40/6.41 cnf(564,plain,
% 6.40/6.41 (P2(a4,a4,a4)+~P2(f6(a2),f6(a2),f6(a2))),
% 6.40/6.41 inference(scs_inference,[],[40,36,368,500,532,382,506,530,524,498,407,344,153,431,141,21,25,22,24,29,27,26,28])).
% 6.40/6.41 cnf(568,plain,
% 6.40/6.41 (~P2(f6(a4),f5(a2),f6(a4))),
% 6.40/6.41 inference(scs_inference,[],[538,318,25])).
% 6.40/6.41 cnf(570,plain,
% 6.40/6.41 (~P4(f6(a2),f3(f6(a2),f6(a2)),f6(a2))),
% 6.40/6.41 inference(scs_inference,[],[562,538,318,25,22])).
% 6.40/6.41 cnf(574,plain,
% 6.40/6.41 (~P2(f7(a1,a1),a1,f5(a2))),
% 6.40/6.41 inference(scs_inference,[],[562,538,437,492,344,71,318,245,25,22,21,29])).
% 6.40/6.41 cnf(576,plain,
% 6.40/6.41 (~P4(a4,f5(a1),a2)),
% 6.40/6.41 inference(scs_inference,[],[40,562,538,437,522,492,496,344,71,318,245,25,22,21,29,27])).
% 6.40/6.41 cnf(578,plain,
% 6.40/6.41 (~P4(f6(a4),f5(a1),f5(a2))),
% 6.40/6.41 inference(scs_inference,[],[40,562,441,538,399,437,522,534,492,496,344,71,318,245,25,22,21,29,27,26])).
% 6.40/6.41 cnf(580,plain,
% 6.40/6.41 (~P4(f3(a2,a2),f6(a2),a2)),
% 6.40/6.41 inference(scs_inference,[],[40,484,562,441,538,399,437,522,534,492,496,119,344,71,204,318,245,25,22,21,29,27,26,28])).
% 6.40/6.41 cnf(590,plain,
% 6.40/6.41 (P4(f3(a1,a1),f3(f3(a4,a4),f3(a4,a4)),f3(a1,a1))),
% 6.40/6.41 inference(scs_inference,[],[558,22])).
% 6.40/6.41 cnf(592,plain,
% 6.40/6.41 (P2(a1,f3(f5(a1),f5(a1)),a1)),
% 6.40/6.41 inference(scs_inference,[],[558,552,22,21])).
% 6.40/6.41 cnf(594,plain,
% 6.40/6.41 (~P2(a1,a2,f3(a1,a1))),
% 6.40/6.41 inference(scs_inference,[],[44,558,552,403,141,22,21,25])).
% 6.40/6.41 cnf(596,plain,
% 6.40/6.41 (P4(a4,a4,a4)),
% 6.40/6.41 inference(scs_inference,[],[44,40,558,552,403,186,141,22,21,25,27])).
% 6.40/6.41 cnf(598,plain,
% 6.40/6.41 (~P4(f7(f6(a4),f6(a4)),f5(a1),f5(a2))),
% 6.40/6.41 inference(scs_inference,[],[44,40,558,512,578,552,441,403,186,141,22,21,25,27,26])).
% 6.40/6.41 cnf(606,plain,
% 6.40/6.41 (~P2(x6061,f5(a1),f5(a2))+~P4(a1,f5(a1),x6061)),
% 6.40/6.41 inference(scs_inference,[],[44,40,558,512,578,552,372,441,540,486,403,165,186,141,31,22,21,25,27,26,28,8,23,29])).
% 6.40/6.41 cnf(610,plain,
% 6.40/6.41 (~P2(f5(a2),f6(a4),f6(a4))),
% 6.40/6.41 inference(scs_inference,[],[568,21])).
% 6.40/6.41 cnf(612,plain,
% 6.40/6.41 (~P2(f5(a2),f3(a2,a2),f7(a1,a1))),
% 6.40/6.41 inference(scs_inference,[],[568,556,204,167,21,25])).
% 6.40/6.41 cnf(614,plain,
% 6.40/6.41 (~P4(f5(a1),f7(f6(a4),f6(a4)),f5(a2))),
% 6.40/6.41 inference(scs_inference,[],[598,568,556,204,167,21,25,22])).
% 6.40/6.41 cnf(616,plain,
% 6.40/6.41 (P2(f5(a1),f7(a2,a2),f7(a2,a2))),
% 6.40/6.41 inference(scs_inference,[],[36,598,568,556,500,204,167,21,25,22,24])).
% 6.40/6.41 cnf(618,plain,
% 6.40/6.41 (P4(f7(f6(a2),f6(a2)),f7(a2,a2),a4)),
% 6.40/6.41 inference(scs_inference,[],[36,40,598,568,526,556,500,202,204,167,21,25,22,24,26])).
% 6.40/6.41 cnf(620,plain,
% 6.40/6.41 (~P4(a2,a4,f5(a1))),
% 6.40/6.41 inference(scs_inference,[],[36,40,598,568,526,556,460,484,500,202,204,167,21,25,22,24,26,27])).
% 6.40/6.41 cnf(622,plain,
% 6.40/6.41 (P4(f3(a4,a4),a4,f3(a4,a4))),
% 6.40/6.41 inference(scs_inference,[],[36,40,598,568,526,556,460,596,484,500,202,204,167,85,21,25,22,24,26,27,29])).
% 6.40/6.41 cnf(624,plain,
% 6.40/6.41 (P2(f5(f6(a2)),f6(a2),a1)),
% 6.40/6.41 inference(scs_inference,[],[36,46,40,598,568,526,556,460,596,484,500,202,204,167,85,21,25,22,24,26,27,29,14])).
% 6.40/6.41 cnf(626,plain,
% 6.40/6.41 (P4(a4,f6(a2),f6(a2))),
% 6.40/6.41 inference(scs_inference,[],[36,46,40,598,568,526,556,460,596,484,500,202,204,167,85,21,25,22,24,26,27,29,14,13])).
% 6.40/6.41 cnf(630,plain,
% 6.40/6.41 (P2(a1,f5(a2),f5(a2))),
% 6.40/6.41 inference(scs_inference,[],[36,46,40,598,568,526,556,460,596,484,500,202,204,165,167,85,21,25,22,24,26,27,29,14,13,7,12])).
% 6.40/6.41 cnf(632,plain,
% 6.40/6.41 (P4(f7(a4,a4),f7(a4,a4),f7(f7(a4,a4),f7(a4,a4)))),
% 6.40/6.41 inference(scs_inference,[],[36,46,40,598,568,526,556,460,596,484,500,73,202,204,165,167,85,21,25,22,24,26,27,29,14,13,7,12,17])).
% 6.40/6.41 cnf(634,plain,
% 6.40/6.41 (P2(f7(a4,a4),f7(a4,a4),f3(f7(a4,a4),f7(a4,a4)))),
% 6.40/6.41 inference(scs_inference,[],[36,46,40,598,568,526,556,460,596,484,500,73,202,204,165,167,85,21,25,22,24,26,27,29,14,13,7,12,17,16])).
% 6.40/6.41 cnf(638,plain,
% 6.40/6.41 (P3(f7(a1,a1),f7(a1,a1))),
% 6.40/6.41 inference(scs_inference,[],[36,46,40,598,568,526,556,460,596,484,500,73,202,204,165,167,48,85,21,25,22,24,26,27,29,14,13,7,12,17,16,9,8])).
% 6.40/6.41 cnf(648,plain,
% 6.40/6.41 (P2(a1,f7(a1,a1),f7(a1,a1))),
% 6.40/6.41 inference(scs_inference,[],[638,451])).
% 6.40/6.41 cnf(651,plain,
% 6.40/6.41 (P2(f7(a2,a2),f7(a2,a2),f3(f7(a2,a2),f7(a2,a2)))),
% 6.40/6.41 inference(scs_inference,[],[198,17,16])).
% 6.40/6.41 cnf(657,plain,
% 6.40/6.41 (P2(f3(f5(a1),f5(a1)),f7(a2,a2),f7(a2,a2))),
% 6.40/6.41 inference(scs_inference,[],[616,506,198,17,16,9,10,25])).
% 6.40/6.41 cnf(659,plain,
% 6.40/6.41 (P4(f7(a4,a4),f3(a2,a2),f3(a2,a2))),
% 6.40/6.41 inference(scs_inference,[],[411,616,506,198,17,16,9,10,25,22])).
% 6.40/6.41 cnf(661,plain,
% 6.40/6.41 (P2(f7(a2,a2),f5(a1),f7(a2,a2))),
% 6.40/6.41 inference(scs_inference,[],[411,616,506,198,17,16,9,10,25,22,21])).
% 6.40/6.41 cnf(663,plain,
% 6.40/6.41 (~P2(f3(f5(a1),f5(a1)),a1,f5(a2))),
% 6.40/6.41 inference(scs_inference,[],[36,411,616,506,437,198,17,16,9,10,25,22,21,24])).
% 6.40/6.41 cnf(665,plain,
% 6.40/6.41 (~P4(a1,f6(a2),f6(a2))),
% 6.40/6.41 inference(scs_inference,[],[36,40,411,616,386,506,437,198,17,16,9,10,25,22,21,24,26])).
% 6.40/6.41 cnf(667,plain,
% 6.40/6.41 (~P4(a2,f3(f6(a2),f6(a2)),a2)),
% 6.40/6.41 inference(scs_inference,[],[36,40,411,616,570,386,506,437,526,198,17,16,9,10,25,22,21,24,26,27])).
% 6.40/6.41 cnf(669,plain,
% 6.40/6.41 (~P4(f5(a1),f3(f3(a4,a4),f3(a4,a4)),a2)),
% 6.40/6.41 inference(scs_inference,[],[36,40,590,411,616,458,570,386,139,506,437,526,198,17,16,9,10,25,22,21,24,26,27,28])).
% 6.40/6.41 cnf(671,plain,
% 6.40/6.41 (P4(f3(f7(a4,a4),f7(a4,a4)),a1,f3(a1,a1))),
% 6.40/6.41 inference(scs_inference,[],[36,44,40,634,590,411,616,458,570,386,139,506,437,526,255,198,17,16,9,10,25,22,21,24,26,27,28,29])).
% 6.40/6.41 cnf(682,plain,
% 6.40/6.41 (~P2(f6(a2),f5(a2),f6(a2))),
% 6.40/6.41 inference(scs_inference,[],[624,318,25])).
% 6.40/6.41 cnf(684,plain,
% 6.40/6.41 (~P4(f3(a1,a1),a1,a2)),
% 6.40/6.41 inference(scs_inference,[],[560,624,318,25,22])).
% 6.40/6.41 cnf(686,plain,
% 6.40/6.41 (~P2(f3(a2,a2),f5(a2),f7(a1,a1))),
% 6.40/6.41 inference(scs_inference,[],[612,560,624,318,25,22,21])).
% 6.40/6.41 cnf(688,plain,
% 6.40/6.41 (~P4(a2,a2,f3(a2,a2))),
% 6.40/6.41 inference(scs_inference,[],[612,560,580,624,484,318,186,25,22,21,27])).
% 6.40/6.41 cnf(692,plain,
% 6.40/6.41 (~P4(f7(a1,a1),f7(a4,a4),a2)),
% 6.40/6.41 inference(scs_inference,[],[44,612,560,580,624,594,131,435,143,484,137,318,186,25,22,21,27,24,26])).
% 6.40/6.41 cnf(699,plain,
% 6.40/6.41 (P4(a4,f3(a4,a4),f3(a4,a4))),
% 6.40/6.41 inference(scs_inference,[],[622,22])).
% 6.40/6.41 cnf(701,plain,
% 6.40/6.41 (P2(f7(a1,a1),a1,f7(a1,a1))),
% 6.40/6.41 inference(scs_inference,[],[648,622,22,21])).
% 6.40/6.41 cnf(703,plain,
% 6.40/6.41 (~P2(a1,f5(a2),f3(a1,a1))),
% 6.40/6.41 inference(scs_inference,[],[44,648,630,622,340,22,21,25])).
% 6.40/6.41 cnf(705,plain,
% 6.40/6.41 (~P4(f3(a1,a1),f7(f3(a4,a4),f3(a4,a4)),f5(a2))),
% 6.40/6.41 inference(scs_inference,[],[44,648,630,622,532,340,153,22,21,25,28])).
% 6.40/6.41 cnf(707,plain,
% 6.40/6.41 (~P2(a2,f5(a2),a2)),
% 6.40/6.41 inference(scs_inference,[],[44,648,630,232,622,532,340,153,167,22,21,25,28,24])).
% 6.40/6.41 cnf(709,plain,
% 6.40/6.41 (~P4(f6(a2),a2,f3(f6(a2),f6(a2)))),
% 6.40/6.41 inference(scs_inference,[],[44,648,630,232,622,667,532,340,153,484,163,167,22,21,25,28,24,26])).
% 6.40/6.41 cnf(711,plain,
% 6.40/6.41 (P4(a4,f6(a4),f7(f6(a4),f6(a4)))),
% 6.40/6.41 inference(scs_inference,[],[44,648,630,232,622,667,532,512,534,340,153,484,306,163,167,22,21,25,28,24,26,27])).
% 6.40/6.41 cnf(719,plain,
% 6.40/6.41 (~P2(f7(a1,a1),f3(a1,a1),f5(a2))),
% 6.40/6.41 inference(scs_inference,[],[44,707,701,574,21,25])).
% 6.40/6.41 cnf(721,plain,
% 6.40/6.41 (~P4(f7(f3(a4,a4),f3(a4,a4)),f3(a1,a1),f5(a2))),
% 6.40/6.41 inference(scs_inference,[],[44,707,705,701,574,21,25,22])).
% 6.40/6.41 cnf(723,plain,
% 6.40/6.41 (P2(f5(f5(a1)),f3(a1,a1),f3(a1,a1))),
% 6.40/6.41 inference(scs_inference,[],[44,707,705,701,574,490,21,25,22,24])).
% 6.40/6.41 cnf(725,plain,
% 6.40/6.41 (P4(f3(a2,a2),f7(f7(a4,a4),f7(a4,a4)),f3(a2,a2))),
% 6.40/6.41 inference(scs_inference,[],[44,632,707,705,701,574,490,411,21,25,22,24,26])).
% 6.40/6.41 cnf(727,plain,
% 6.40/6.41 (~P4(a4,a4,f3(f6(a2),f6(a2)))),
% 6.40/6.41 inference(scs_inference,[],[40,44,632,707,705,701,574,709,626,490,411,21,25,22,24,26,27])).
% 6.40/6.41 cnf(729,plain,
% 6.40/6.41 (~P4(f7(a4,a4),a1,f5(a2))),
% 6.40/6.41 inference(scs_inference,[],[40,44,632,707,705,701,671,574,703,709,626,490,411,634,255,21,25,22,24,26,27,28])).
% 6.40/6.41 cnf(733,plain,
% 6.40/6.41 (P2(f5(f7(a1,a1)),f7(a1,a1),a1)),
% 6.40/6.41 inference(scs_inference,[],[40,48,44,632,707,705,701,671,574,703,709,626,490,411,634,255,21,25,22,24,26,27,28,7,14])).
% 6.40/6.41 cnf(735,plain,
% 6.40/6.41 (P4(a4,f3(a2,a2),f3(a2,a2))),
% 6.40/6.41 inference(scs_inference,[],[40,48,44,632,707,705,701,671,574,703,709,626,490,411,634,200,255,21,25,22,24,26,27,28,7,14,13])).
% 6.40/6.41 cnf(741,plain,
% 6.40/6.41 (P2(f3(a1,a1),f3(f5(a1),f5(a1)),f3(a1,a1))),
% 6.40/6.41 inference(scs_inference,[],[44,592,25])).
% 6.40/6.41 cnf(747,plain,
% 6.40/6.41 (P4(a4,f7(a2,a2),f7(a2,a2))),
% 6.40/6.41 inference(scs_inference,[],[44,725,657,592,202,163,25,22,21,26])).
% 6.40/6.41 cnf(749,plain,
% 6.40/6.41 (~P4(f3(f3(a4,a4),f3(a4,a4)),f7(a1,a1),a2)),
% 6.40/6.41 inference(scs_inference,[],[44,725,657,684,592,558,234,202,163,25,22,21,26,27])).
% 6.40/6.41 cnf(751,plain,
% 6.40/6.41 (~P4(f3(a1,a1),a4,f5(a2))),
% 6.40/6.41 inference(scs_inference,[],[44,725,657,684,592,558,234,267,202,163,245,25,22,21,26,27,28])).
% 6.40/6.41 cnf(753,plain,
% 6.40/6.41 (~P2(f3(a1,a1),f3(f5(a1),f5(a1)),f5(a2))),
% 6.40/6.41 inference(scs_inference,[],[44,725,657,684,592,558,234,267,202,163,245,25,22,21,26,27,28,24])).
% 6.40/6.41 cnf(757,plain,
% 6.40/6.41 (P2(f3(a1,a1),f3(a1,a1),f3(f3(a1,a1),f3(a1,a1)))),
% 6.40/6.41 inference(scs_inference,[],[50,44,725,657,684,592,558,234,267,202,163,245,25,22,21,26,27,28,24,17,16])).
% 6.40/6.41 cnf(769,plain,
% 6.40/6.41 (P2(f3(a2,a2),f3(a2,a2),f3(f3(a2,a2),f3(a2,a2)))),
% 6.40/6.41 inference(scs_inference,[],[200,17,9,16])).
% 6.40/6.41 cnf(773,plain,
% 6.40/6.41 (~P2(f7(a1,a1),a4,f7(a1,a1))),
% 6.40/6.41 inference(scs_inference,[],[733,200,275,17,9,16,10,25])).
% 6.40/6.41 cnf(775,plain,
% 6.40/6.41 (~P4(a1,f5(a2),f5(a2))),
% 6.40/6.41 inference(scs_inference,[],[494,733,200,275,17,9,16,10,25,22])).
% 6.40/6.41 cnf(777,plain,
% 6.40/6.41 (~P2(f5(a2),f6(a2),f6(a2))),
% 6.40/6.41 inference(scs_inference,[],[682,494,733,200,275,17,9,16,10,25,22,21])).
% 6.40/6.41 cnf(779,plain,
% 6.40/6.41 (~P4(a4,a4,a1)),
% 6.40/6.41 inference(scs_inference,[],[682,494,665,733,626,200,275,17,9,16,10,25,22,21,27])).
% 6.40/6.41 cnf(783,plain,
% 6.40/6.41 (~P4(f3(a1,a1),f6(a4),f5(a2))),
% 6.40/6.41 inference(scs_inference,[],[42,554,682,721,494,665,733,626,372,592,200,275,17,9,16,10,25,22,21,27,28,26])).
% 6.40/6.41 cnf(785,plain,
% 6.40/6.41 (~P2(f3(a1,a1),f3(a4,a4),a2)),
% 6.40/6.41 inference(scs_inference,[],[42,44,554,682,721,494,665,733,247,626,372,261,592,200,275,17,9,16,10,25,22,21,27,28,26,24])).
% 6.40/6.41 cnf(787,plain,
% 6.40/6.41 (P4(f3(a4,a4),f7(a2,a2),f3(f7(a2,a2),f7(a2,a2)))),
% 6.40/6.41 inference(scs_inference,[],[42,44,554,651,682,721,494,665,733,747,247,626,372,261,592,200,275,85,17,9,16,10,25,22,21,27,28,26,24,29])).
% 6.40/6.41 cnf(790,plain,
% 6.40/6.41 (~P2(f5(f5(a1)),f3(a1,a1),f5(a2))),
% 6.40/6.41 inference(scs_inference,[],[741,723,753,25])).
% 6.40/6.41 cnf(794,plain,
% 6.40/6.41 (P2(f3(f5(a1),f5(a1)),f3(a1,a1),f3(a1,a1))),
% 6.40/6.41 inference(scs_inference,[],[741,787,723,753,25,22,21])).
% 6.40/6.41 cnf(796,plain,
% 6.40/6.41 (P4(f7(f6(a4),f6(a4)),f3(a1,a1),f3(a1,a1))),
% 6.40/6.41 inference(scs_inference,[],[741,787,723,753,322,512,25,22,21,27])).
% 6.40/6.41 cnf(802,plain,
% 6.40/6.41 (P4(f3(a4,a4),f3(a2,a2),f3(f3(a2,a2),f3(a2,a2)))),
% 6.40/6.41 inference(scs_inference,[],[735,741,787,769,723,753,773,729,632,322,648,512,344,255,85,25,22,21,27,26,24,29])).
% 6.40/6.41 cnf(808,plain,
% 6.40/6.41 (~P2(f3(f5(a1),f5(a1)),f3(a1,a1),a2)),
% 6.40/6.41 inference(scs_inference,[],[44,56,552,25])).
% 6.40/6.41 cnf(812,plain,
% 6.40/6.41 (~P2(f3(a1,a1),f7(a1,a1),f5(a2))),
% 6.40/6.41 inference(scs_inference,[],[44,56,719,749,552,25,22,21])).
% 6.40/6.41 cnf(814,plain,
% 6.40/6.41 (P4(f7(f6(a4),f6(a4)),a4,a4)),
% 6.40/6.41 inference(scs_inference,[],[44,56,719,749,711,552,596,306,25,22,21,27])).
% 6.40/6.41 cnf(816,plain,
% 6.40/6.41 (~P4(f6(a2),f7(a2,a2),f7(a1,a1))),
% 6.40/6.41 inference(scs_inference,[],[44,56,719,749,618,711,265,354,552,596,306,25,22,21,27,26])).
% 6.40/6.41 cnf(818,plain,
% 6.40/6.41 (~P4(f5(a1),f3(a1,a1),a2)),
% 6.40/6.41 inference(scs_inference,[],[44,56,719,749,618,711,378,265,354,552,458,596,407,306,25,22,21,27,26,28])).
% 6.40/6.41 cnf(820,plain,
% 6.40/6.41 (P2(f3(f5(a1),f5(a1)),f3(a2,a2),f3(a2,a2))),
% 6.40/6.41 inference(scs_inference,[],[44,56,719,749,618,711,378,265,354,552,458,596,228,407,306,25,22,21,27,26,28,24])).
% 6.40/6.41 cnf(822,plain,
% 6.40/6.41 (~P2(a1,f7(a4,a4),a1)),
% 6.40/6.41 inference(scs_inference,[],[44,56,719,779,749,618,711,378,265,354,552,458,596,228,407,306,83,169,245,25,22,21,27,26,28,24,29])).
% 6.40/6.41 cnf(824,plain,
% 6.40/6.41 (P4(f6(f7(a4,a4)),f7(a4,a4),a4)),
% 6.40/6.41 inference(scs_inference,[],[44,56,719,779,749,618,711,378,265,354,552,458,596,228,407,306,83,73,169,245,25,22,21,27,26,28,24,29,19])).
% 6.40/6.41 cnf(828,plain,
% 6.40/6.41 (P2(f5(f3(a4,a4)),f3(a4,a4),a1)),
% 6.40/6.41 inference(scs_inference,[],[44,56,719,779,749,618,711,378,265,354,552,458,596,228,407,75,306,83,73,169,245,25,22,21,27,26,28,24,29,19,7,14])).
% 6.40/6.41 cnf(830,plain,
% 6.40/6.41 (P4(a4,f5(a2),f5(a2))),
% 6.40/6.41 inference(scs_inference,[],[44,56,719,779,749,618,711,378,265,354,552,458,596,228,407,75,306,83,165,73,169,245,25,22,21,27,26,28,24,29,19,7,14,13])).
% 6.40/6.41 cnf(843,plain,
% 6.40/6.41 (P2(f3(f5(a1),f5(a1)),f7(a4,a4),f7(a4,a4))),
% 6.40/6.41 inference(scs_inference,[],[822,462,506,73,15,25])).
% 6.40/6.41 cnf(845,plain,
% 6.40/6.41 (P4(f3(a2,a2),f3(a4,a4),f3(f3(a2,a2),f3(a2,a2)))),
% 6.40/6.41 inference(scs_inference,[],[802,822,462,506,73,15,25,22])).
% 6.40/6.41 cnf(849,plain,
% 6.40/6.41 (~P4(f7(f6(a4),f6(a4)),f3(a1,a1),f5(a2))),
% 6.40/6.41 inference(scs_inference,[],[802,820,796,783,822,462,372,506,73,15,25,22,21,27])).
% 6.40/6.41 cnf(851,plain,
% 6.40/6.41 (P4(f7(f6(a4),f6(a4)),f7(a1,a1),f7(a1,a1))),
% 6.40/6.41 inference(scs_inference,[],[54,802,820,796,783,822,814,462,372,506,73,15,25,22,21,27,26])).
% 6.40/6.41 cnf(853,plain,
% 6.40/6.41 (~P4(f3(a4,a4),f5(a1),a2)),
% 6.40/6.41 inference(scs_inference,[],[54,802,820,796,783,822,814,462,77,417,372,506,73,85,15,25,22,21,27,26,28])).
% 6.40/6.41 cnf(855,plain,
% 6.40/6.41 (~P2(f3(a1,a1),f5(f3(a1,a1)),f5(a2))),
% 6.40/6.41 inference(scs_inference,[],[54,794,802,820,796,783,663,822,814,462,77,310,417,372,506,73,85,15,25,22,21,27,26,28,24])).
% 6.40/6.41 cnf(861,plain,
% 6.40/6.41 (~P2(f3(a4,a4),f7(a4,a4),f3(a4,a4))),
% 6.40/6.41 inference(scs_inference,[],[828,822,25])).
% 6.40/6.41 cnf(863,plain,
% 6.40/6.41 (~P4(f7(a2,a2),f6(a2),f7(a1,a1))),
% 6.40/6.41 inference(scs_inference,[],[816,828,822,25,22])).
% 6.40/6.41 cnf(869,plain,
% 6.40/6.41 (P2(f7(a2,a2),f6(a2),f7(a2,a2))),
% 6.40/6.41 inference(scs_inference,[],[855,816,828,727,550,358,822,496,4,25,22,21,29,24])).
% 6.40/6.41 cnf(871,plain,
% 6.40/6.41 (~P4(a2,f6(f7(a4,a4)),a1)),
% 6.40/6.41 inference(scs_inference,[],[338,855,816,824,828,727,550,358,822,496,186,4,25,22,21,29,24,27])).
% 6.40/6.41 cnf(873,plain,
% 6.40/6.41 (~P4(f3(a1,a1),f3(f3(a4,a4),f3(a4,a4)),f5(a2))),
% 6.40/6.41 inference(scs_inference,[],[338,855,816,849,824,828,727,550,358,796,822,496,590,186,4,25,22,21,29,24,27,26])).
% 6.40/6.41 cnf(875,plain,
% 6.40/6.41 (~P4(f3(f3(a1,a1),f3(a1,a1)),a1,a2)),
% 6.40/6.41 inference(scs_inference,[],[757,338,855,816,849,824,828,727,550,530,358,796,822,496,590,234,186,4,25,22,21,29,24,27,26,28])).
% 6.40/6.41 cnf(881,plain,
% 6.40/6.41 (P2(f5(a2),f5(a2),f3(f5(a2),f5(a2)))),
% 6.40/6.41 inference(scs_inference,[],[757,338,855,816,849,824,828,727,550,530,358,796,822,496,590,234,186,165,4,25,22,21,29,24,27,26,28,17,9,16])).
% 6.40/6.41 cnf(887,plain,
% 6.40/6.41 (P4(f7(a1,a1),f7(f6(a4),f6(a4)),f7(a1,a1))),
% 6.40/6.41 inference(scs_inference,[],[56,851,733,701,25,22])).
% 6.40/6.41 cnf(889,plain,
% 6.40/6.41 (P2(f7(a4,a4),f3(f5(a1),f5(a1)),f7(a4,a4))),
% 6.40/6.41 inference(scs_inference,[],[56,843,851,733,701,25,22,21])).
% 6.40/6.41 cnf(891,plain,
% 6.40/6.41 (P4(f3(a4,a4),f6(a4),f3(f6(a4),f6(a4)))),
% 6.40/6.41 inference(scs_inference,[],[56,843,851,514,733,534,701,85,25,22,21,29])).
% 6.40/6.41 cnf(893,plain,
% 6.40/6.41 (~P4(a1,f7(a1,a1),a4)),
% 6.40/6.41 inference(scs_inference,[],[56,843,851,514,733,773,93,427,534,701,85,25,22,21,29,28])).
% 6.40/6.41 cnf(895,plain,
% 6.40/6.41 (~P2(f5(f3(a1,a1)),f5(a2),f7(a1,a1))),
% 6.40/6.41 inference(scs_inference,[],[56,843,851,812,514,733,773,93,427,534,701,310,630,85,25,22,21,29,28,24])).
% 6.40/6.41 cnf(897,plain,
% 6.40/6.41 (P4(f7(f7(a4,a4),f7(a4,a4)),f7(a1,a1),f7(a1,a1))),
% 6.40/6.41 inference(scs_inference,[],[56,843,851,812,514,733,773,93,427,632,534,701,310,630,85,25,22,21,29,28,24,27])).
% 6.40/6.41 cnf(899,plain,
% 6.40/6.41 (~P4(f6(a2),a1,f6(f7(a4,a4)))),
% 6.40/6.41 inference(scs_inference,[],[56,843,851,812,514,871,733,773,93,427,632,534,701,310,630,484,85,32,25,22,21,29,28,24,27,26])).
% 6.40/6.41 cnf(907,plain,
% 6.40/6.41 (~P2(f5(a2),f3(a2,a2),f3(a1,a1))),
% 6.40/6.41 inference(scs_inference,[],[594,204,167,25])).
% 6.40/6.41 cnf(909,plain,
% 6.40/6.41 (~P4(f7(a4,a4),f7(a1,a1),a2)),
% 6.40/6.41 inference(scs_inference,[],[692,594,204,167,25,22])).
% 6.40/6.41 cnf(911,plain,
% 6.40/6.41 (~P2(f7(a4,a4),f3(a4,a4),f3(a4,a4))),
% 6.40/6.41 inference(scs_inference,[],[861,692,594,204,167,25,22,21])).
% 6.40/6.41 cnf(913,plain,
% 6.40/6.41 (P4(f3(a4,a4),f5(a2),f3(f5(a2),f5(a2)))),
% 6.40/6.41 inference(scs_inference,[],[861,881,692,830,594,204,167,85,25,22,21,29])).
% 6.40/6.41 cnf(915,plain,
% 6.40/6.41 (P4(f6(f7(a4,a4)),f7(a1,a1),f7(a1,a1))),
% 6.40/6.41 inference(scs_inference,[],[54,861,881,692,830,824,594,93,204,167,85,25,22,21,29,26])).
% 6.40/6.41 cnf(917,plain,
% 6.40/6.41 (P2(f5(f5(a1)),f7(a1,a1),f7(a1,a1))),
% 6.40/6.41 inference(scs_inference,[],[54,861,881,692,830,824,594,490,648,93,204,167,85,25,22,21,29,26,24])).
% 6.40/6.41 cnf(923,plain,
% 6.40/6.41 (P2(f5(f7(a2,a2)),f7(a2,a2),a1)),
% 6.40/6.41 inference(scs_inference,[],[54,861,881,692,830,824,594,490,648,93,204,198,186,167,85,25,22,21,29,26,24,27,7,14])).
% 6.40/6.41 cnf(925,plain,
% 6.40/6.41 (P4(a4,f7(a4,a4),f7(a4,a4))),
% 6.40/6.41 inference(scs_inference,[],[54,861,881,692,830,824,594,490,648,93,204,198,186,167,73,85,25,22,21,29,26,24,27,7,14,13])).
% 6.40/6.41 cnf(931,plain,
% 6.40/6.41 (P2(a1,f6(a2),a1)),
% 6.40/6.41 inference(scs_inference,[],[923,869,25])).
% 6.40/6.41 cnf(933,plain,
% 6.40/6.41 (P4(f7(a1,a1),f7(f7(a4,a4),f7(a4,a4)),f7(a1,a1))),
% 6.40/6.41 inference(scs_inference,[],[897,923,869,25,22])).
% 6.40/6.41 cnf(935,plain,
% 6.40/6.41 (P2(f7(a1,a1),f5(f5(a1)),f7(a1,a1))),
% 6.40/6.41 inference(scs_inference,[],[897,917,923,869,25,22,21])).
% 6.40/6.41 cnf(937,plain,
% 6.40/6.41 (P2(f3(a4,a4),f3(a4,a4),f7(f3(a4,a4),f3(a4,a4)))),
% 6.40/6.41 inference(scs_inference,[],[897,917,923,869,699,364,85,25,22,21,28])).
% 6.40/6.41 cnf(939,plain,
% 6.40/6.41 (P4(f7(f6(a4),f6(a4)),f7(a4,a4),f7(a4,a4))),
% 6.40/6.41 inference(scs_inference,[],[897,917,925,923,869,699,814,364,85,25,22,21,28,26])).
% 6.40/6.41 cnf(941,plain,
% 6.40/6.41 (P2(f5(f7(a2,a2)),f7(a2,a2),f6(a2))),
% 6.40/6.41 inference(scs_inference,[],[897,917,925,923,869,699,814,364,159,85,25,22,21,28,26,24])).
% 6.40/6.41 cnf(951,plain,
% 6.40/6.41 (~P2(f7(a2,a2),f5(a2),f7(a2,a2))),
% 6.40/6.41 inference(scs_inference,[],[941,682,25])).
% 6.40/6.41 cnf(953,plain,
% 6.40/6.41 (~P4(f5(a1),f3(a4,a4),a2)),
% 6.40/6.41 inference(scs_inference,[],[853,941,682,25,22])).
% 6.40/6.41 cnf(955,plain,
% 6.40/6.41 (~P2(f3(a2,a2),f5(a2),f3(a1,a1))),
% 6.40/6.41 inference(scs_inference,[],[853,907,941,682,25,22,21])).
% 6.40/6.41 cnf(957,plain,
% 6.40/6.41 (~P2(f7(a1,a1),f7(a1,a1),f6(f7(a4,a4)))),
% 6.40/6.41 inference(scs_inference,[],[853,907,941,899,682,4,42,25,22,21,29])).
% 6.40/6.41 cnf(959,plain,
% 6.40/6.41 (~P4(f3(a4,a4),a4,a2)),
% 6.40/6.41 inference(scs_inference,[],[853,907,941,899,682,596,119,4,42,85,25,22,21,29,28])).
% 6.40/6.41 cnf(961,plain,
% 6.40/6.41 (~P4(f7(a1,a1),f7(f7(a4,a4),f7(a4,a4)),a2)),
% 6.40/6.41 inference(scs_inference,[],[933,853,909,907,941,899,682,596,119,93,4,42,85,25,22,21,29,28,26])).
% 6.40/6.41 cnf(963,plain,
% 6.40/6.41 (~P2(f6(a2),a2,a1)),
% 6.40/6.41 inference(scs_inference,[],[56,933,853,909,907,941,899,931,682,596,119,93,141,4,42,85,25,22,21,29,28,26,24])).
% 6.40/6.41 cnf(965,plain,
% 6.40/6.41 (~P4(f7(a1,a1),a2,f7(a2,a2))),
% 6.40/6.41 inference(scs_inference,[],[71,56,933,853,909,907,941,863,899,931,682,596,119,93,484,141,4,42,85,25,22,21,29,28,26,24,27])).
% 6.40/6.41 cnf(967,plain,
% 6.40/6.41 (~P2(f5(a1),f5(a2),f5(a1))),
% 6.40/6.41 inference(scs_inference,[],[951,661,25])).
% 6.40/6.41 cnf(969,plain,
% 6.40/6.41 (P4(f7(a1,a1),f6(f7(a4,a4)),f7(a1,a1))),
% 6.40/6.41 inference(scs_inference,[],[915,951,661,25,22])).
% 6.40/6.41 cnf(971,plain,
% 6.40/6.41 (P2(f3(a1,a1),f5(f5(a1)),f3(a1,a1))),
% 6.40/6.41 inference(scs_inference,[],[915,951,661,723,25,22,21])).
% 6.40/6.41 cnf(973,plain,
% 6.40/6.41 (~P2(a1,a2,f3(a4,a4))),
% 6.40/6.41 inference(scs_inference,[],[915,951,959,661,723,186,141,245,25,22,21,29])).
% 6.40/6.41 cnf(975,plain,
% 6.40/6.41 (~P4(f3(a4,a4),f7(a1,a1),a4)),
% 6.40/6.41 inference(scs_inference,[],[937,915,951,959,661,380,723,773,137,186,141,245,25,22,21,29,28])).
% 6.40/6.41 cnf(979,plain,
% 6.40/6.41 (P4(f7(a1,a1),f6(a4),f7(a1,a1))),
% 6.40/6.41 inference(scs_inference,[],[71,937,915,887,951,893,959,661,380,382,723,773,711,234,137,186,141,245,25,22,21,29,28,26,27])).
% 6.40/6.41 cnf(981,plain,
% 6.40/6.41 (~P2(f7(a4,a4),f5(a1),f5(a1))),
% 6.40/6.41 inference(scs_inference,[],[71,937,911,915,887,951,893,959,661,380,382,723,378,773,711,234,137,186,141,245,25,22,21,29,28,26,27,24])).
% 6.40/6.41 cnf(985,plain,
% 6.40/6.41 (~P2(f6(a2),f5(f6(a2)),f5(a2))),
% 6.40/6.41 inference(scs_inference,[],[777,624,184,25])).
% 6.40/6.41 cnf(987,plain,
% 6.40/6.42 (~P4(a2,f7(a1,a1),f7(a2,a2))),
% 6.40/6.42 inference(scs_inference,[],[965,777,624,184,25,22])).
% 6.40/6.42 cnf(991,plain,
% 6.40/6.42 (~P2(f7(a4,a4),f3(a1,a1),a2)),
% 6.40/6.42 inference(scs_inference,[],[965,433,777,111,624,374,184,234,255,25,22,21,29])).
% 6.40/6.42 cnf(993,plain,
% 6.40/6.42 (~P4(f5(f5(a1)),a4,a4)),
% 6.40/6.42 inference(scs_inference,[],[71,935,965,433,777,111,624,374,184,773,234,255,25,22,21,29,28])).
% 6.40/6.42 cnf(995,plain,
% 6.40/6.42 (P2(f5(f5(a1)),f7(a2,a2),f7(a2,a2))),
% 6.40/6.42 inference(scs_inference,[],[71,935,965,433,777,111,624,490,500,374,184,773,234,255,25,22,21,29,28,24])).
% 6.40/6.42 cnf(997,plain,
% 6.40/6.42 (~P4(f7(a1,a1),f7(f6(a2),f6(a2)),f6(a2))),
% 6.40/6.42 inference(scs_inference,[],[71,935,965,433,777,111,816,624,618,490,500,374,184,773,234,255,25,22,21,29,28,24,27])).
% 6.40/6.42 cnf(999,plain,
% 6.40/6.42 (P4(f7(f6(a4),f6(a4)),f3(a2,a2),f3(a2,a2))),
% 6.40/6.42 inference(scs_inference,[],[71,939,935,965,433,777,111,816,624,618,659,490,500,374,184,773,234,255,25,22,21,29,28,24,27,26])).
% 6.40/6.42 cnf(1003,plain,
% 6.40/6.42 (P2(f5(f7(a4,a4)),f7(a4,a4),a1)),
% 6.40/6.42 inference(scs_inference,[],[71,73,939,935,965,433,777,111,816,624,618,659,490,500,374,184,773,234,255,25,22,21,29,28,24,27,26,7,14])).
% 6.40/6.42 cnf(1007,plain,
% 6.40/6.42 (P2(f3(a2,a2),f6(a2),f3(a2,a2))),
% 6.40/6.42 inference(scs_inference,[],[249,931,25])).
% 6.40/6.42 cnf(1009,plain,
% 6.40/6.42 (P4(f3(a2,a2),f7(f6(a4),f6(a4)),f3(a2,a2))),
% 6.40/6.42 inference(scs_inference,[],[999,249,931,25,22])).
% 6.40/6.42 cnf(1011,plain,
% 6.40/6.42 (P2(f7(a2,a2),f5(f5(a1)),f7(a2,a2))),
% 6.40/6.42 inference(scs_inference,[],[999,995,249,931,25,22,21])).
% 6.40/6.42 cnf(1013,plain,
% 6.40/6.42 (~P2(f7(a1,a1),f7(a1,a1),a4)),
% 6.40/6.42 inference(scs_inference,[],[54,999,995,975,249,931,85,25,22,21,29])).
% 6.40/6.42 cnf(1015,plain,
% 6.40/6.42 (P4(f7(f6(a4),f6(a4)),f3(a4,a4),f3(a4,a4))),
% 6.40/6.42 inference(scs_inference,[],[54,999,995,975,249,931,699,814,85,25,22,21,29,26])).
% 6.40/6.42 cnf(1017,plain,
% 6.40/6.42 (P2(f5(f7(a4,a4)),f7(a4,a4),f6(a2))),
% 6.40/6.42 inference(scs_inference,[],[54,999,995,1003,975,249,931,699,814,427,4,85,25,22,21,29,26,24])).
% 6.40/6.42 cnf(1019,plain,
% 6.40/6.42 (~P4(f7(f6(a4),f6(a4)),f7(a1,a1),a2)),
% 6.40/6.42 inference(scs_inference,[],[54,999,995,1003,975,249,939,909,931,699,814,427,93,4,85,25,22,21,29,26,24,27])).
% 6.40/6.42 cnf(1023,plain,
% 6.40/6.42 (P2(f3(a2,a2),f5(a1),f3(a2,a2))),
% 6.40/6.42 inference(scs_inference,[],[1007,226,25])).
% 6.40/6.42 cnf(1025,plain,
% 6.40/6.42 (~P4(f3(f3(a4,a4),f3(a4,a4)),f3(a1,a1),f5(a2))),
% 6.40/6.42 inference(scs_inference,[],[873,1007,226,25,22])).
% 6.40/6.42 cnf(1027,plain,
% 6.40/6.42 (~P2(f3(a1,a1),f7(a4,a4),a2)),
% 6.40/6.42 inference(scs_inference,[],[873,991,1007,226,25,22,21])).
% 6.40/6.42 cnf(1033,plain,
% 6.40/6.42 (~P4(f7(a1,a1),f6(f7(a4,a4)),a2)),
% 6.40/6.42 inference(scs_inference,[],[969,979,873,991,1007,1019,851,935,965,526,869,226,773,202,25,22,21,28,29,26])).
% 6.40/6.42 cnf(1047,plain,
% 6.40/6.42 (P4(f3(a4,a4),f7(f6(a4),f6(a4)),f3(a4,a4))),
% 6.40/6.42 inference(scs_inference,[],[56,1015,1003,427,25,22])).
% 6.40/6.42 cnf(1049,plain,
% 6.40/6.42 (P2(f7(a4,a4),f5(f7(a4,a4)),f6(a2))),
% 6.40/6.42 inference(scs_inference,[],[56,1015,1017,1003,427,25,22,21])).
% 6.40/6.42 cnf(1051,plain,
% 6.40/6.42 (~P4(a1,f5(a1),f7(a4,a4))),
% 6.40/6.42 inference(scs_inference,[],[56,1015,1017,981,1003,417,427,169,25,22,21,28])).
% 6.40/6.42 cnf(1057,plain,
% 6.40/6.42 (P4(f7(f6(a4),f6(a4)),f5(a1),f5(a1))),
% 6.40/6.42 inference(scs_inference,[],[56,1015,889,1017,981,620,1003,729,512,417,441,427,630,202,255,484,169,25,22,21,28,29,26,27])).
% 6.40/6.42 cnf(1067,plain,
% 6.40/6.42 (~P2(f5(a2),f3(a2,a2),f3(a4,a4))),
% 6.40/6.42 inference(scs_inference,[],[973,204,167,25])).
% 6.40/6.42 cnf(1073,plain,
% 6.40/6.42 (P2(f3(f5(a1),f5(a1)),f6(a2),f6(a2))),
% 6.40/6.42 inference(scs_inference,[],[875,1049,895,973,843,204,167,25,22,21,24])).
% 6.40/6.42 cnf(1075,plain,
% 6.40/6.42 (~P2(a1,f7(f6(a4),f6(a4)),a1)),
% 6.40/6.42 inference(scs_inference,[],[875,1049,895,973,843,386,814,204,167,169,245,25,22,21,24,29])).
% 6.40/6.42 cnf(1079,plain,
% 6.40/6.42 (P4(f3(f6(a4),f6(a4)),f3(a1,a1),f3(a1,a1))),
% 6.40/6.42 inference(scs_inference,[],[891,875,1049,895,973,843,386,522,354,618,322,407,814,204,167,169,245,25,22,21,24,29,26,27])).
% 6.40/6.42 cnf(1083,plain,
% 6.40/6.42 (P2(f5(f3(a2,a2)),f3(a2,a2),a1)),
% 6.40/6.42 inference(scs_inference,[],[891,875,1049,895,973,843,386,522,354,618,322,407,814,204,200,167,169,245,25,22,21,24,29,26,27,7,14])).
% 6.40/6.42 cnf(1107,plain,
% 6.40/6.42 (P2(f6(a2),f3(f5(a1),f5(a1)),f6(a2))),
% 6.40/6.42 inference(scs_inference,[],[1017,889,25])).
% 6.40/6.42 cnf(1111,plain,
% 6.40/6.42 (P2(f3(a2,a2),f5(f3(a2,a2)),a1)),
% 6.40/6.42 inference(scs_inference,[],[1079,1083,1017,889,25,22,21])).
% 6.40/6.42 cnf(1113,plain,
% 6.40/6.42 (~P4(a1,f6(a4),f5(a2))),
% 6.40/6.42 inference(scs_inference,[],[1079,1083,610,1017,889,534,169,25,22,21,28])).
% 6.40/6.42 cnf(1115,plain,
% 6.40/6.42 (P2(f5(f3(a2,a2)),f3(a2,a2),f5(a1))),
% 6.40/6.42 inference(scs_inference,[],[1079,1083,610,1023,1017,889,421,534,169,25,22,21,28,24])).
% 6.40/6.42 cnf(1117,plain,
% 6.40/6.42 (P4(f3(a4,a4),f6(a2),f3(f6(a2),f6(a2)))),
% 6.40/6.42 inference(scs_inference,[],[1079,1083,610,1023,1017,889,358,626,421,534,169,85,25,22,21,28,24,29])).
% 6.40/6.42 cnf(1119,plain,
% 6.40/6.42 (P4(f3(f6(a4),f6(a4)),f7(a1,a1),f7(a1,a1))),
% 6.40/6.42 inference(scs_inference,[],[1079,1083,610,1023,1017,889,358,626,421,534,234,169,85,25,22,21,28,24,29,26])).
% 6.40/6.42 cnf(1121,plain,
% 6.40/6.42 (~P4(f3(f6(a4),f6(a4)),f3(a1,a1),f5(a2))),
% 6.40/6.42 inference(scs_inference,[],[1079,1083,610,1023,751,1017,889,358,346,626,421,534,234,169,85,25,22,21,28,24,29,26,27])).
% 6.40/6.42 cnf(1128,plain,
% 6.40/6.42 (~P2(f3(a2,a2),f5(a2),f3(a2,a2))),
% 6.40/6.42 inference(scs_inference,[],[1115,967,25])).
% 6.40/6.42 cnf(1136,plain,
% 6.40/6.42 (~P2(f5(f3(a2,a2)),f7(a1,a1),f5(a2))),
% 6.40/6.42 inference(scs_inference,[],[686,997,985,1115,1111,967,271,648,163,186,25,22,21,27,24])).
% 6.40/6.42 cnf(1138,plain,
% 6.40/6.42 (P4(f3(a4,a4),f7(a4,a4),f3(f7(a4,a4),f7(a4,a4)))),
% 6.40/6.42 inference(scs_inference,[],[686,997,985,1115,1111,967,271,925,634,648,163,186,85,25,22,21,27,24,29])).
% 6.40/6.42 cnf(1145,plain,
% 6.40/6.42 (~P2(f3(f5(a1),f5(a1)),f6(a2),a4)),
% 6.40/6.42 inference(scs_inference,[],[79,1073,184,25])).
% 6.40/6.42 cnf(1147,plain,
% 6.40/6.42 (P4(f7(a4,a4),f3(a4,a4),f3(f7(a4,a4),f7(a4,a4)))),
% 6.40/6.42 inference(scs_inference,[],[79,1138,1073,184,25,22])).
% 6.40/6.42 cnf(1149,plain,
% 6.40/6.42 (P2(f6(a2),f3(a2,a2),f3(a2,a2))),
% 6.40/6.42 inference(scs_inference,[],[79,1138,1073,1007,184,25,22,21])).
% 6.40/6.42 cnf(1153,plain,
% 6.40/6.42 (~P4(f3(a4,a4),f7(f6(a2),f6(a2)),f6(a2))),
% 6.40/6.42 inference(scs_inference,[],[79,1138,1117,1073,1047,911,1007,709,261,526,184,25,22,21,28,27])).
% 6.40/6.42 cnf(1157,plain,
% 6.40/6.42 (~P2(f3(a1,a1),f3(a1,a1),f5(a2))),
% 6.40/6.42 inference(scs_inference,[],[79,1138,1027,1117,1073,1047,368,911,1007,709,1025,261,526,184,310,407,141,25,22,21,28,27,24,29])).
% 6.40/6.42 cnf(1167,plain,
% 6.40/6.42 (~P2(f5(f7(a2,a2)),f7(a2,a2),a4)),
% 6.40/6.42 inference(scs_inference,[],[79,941,550,25])).
% 6.40/6.42 cnf(1171,plain,
% 6.40/6.42 (~P2(f3(a2,a2),f5(a2),f3(a4,a4))),
% 6.40/6.42 inference(scs_inference,[],[79,1113,1067,941,550,25,22,21])).
% 6.40/6.42 cnf(1175,plain,
% 6.40/6.42 (P4(f3(a4,a4),a1,f3(a1,a1))),
% 6.40/6.42 inference(scs_inference,[],[79,1113,1067,1157,757,1138,941,550,671,346,255,25,22,21,28,26])).
% 6.40/6.42 cnf(1179,plain,
% 6.40/6.42 (P2(f6(a2),a1,a1)),
% 6.40/6.42 inference(scs_inference,[],[71,79,1119,1113,1067,1149,1157,757,1138,941,1111,550,224,671,346,255,25,22,21,28,26,27,24])).
% 6.40/6.42 cnf(1185,plain,
% 6.40/6.42 (P2(f5(f5(a2)),f5(a2),a1)),
% 6.40/6.42 inference(scs_inference,[],[71,79,1119,1113,1067,1149,1157,757,1138,941,1111,316,550,224,671,889,346,255,165,141,25,22,21,28,26,27,24,29,7,14])).
% 6.40/6.42 cnf(1191,plain,
% 6.40/6.42 (~P2(f6(a2),f5(f5(a2)),a1)),
% 6.40/6.42 inference(scs_inference,[],[1185,1179,318,25])).
% 6.40/6.42 cnf(1195,plain,
% 6.40/6.42 (P2(f5(a2),f5(f5(a2)),a1)),
% 6.40/6.42 inference(scs_inference,[],[913,1185,1179,318,25,22,21])).
% 6.40/6.42 cnf(1197,plain,
% 6.40/6.42 (P2(f5(a2),a1,f5(a2))),
% 6.40/6.42 inference(scs_inference,[],[913,1185,1179,630,318,25,22,21,24])).
% 6.40/6.42 cnf(1201,plain,
% 6.40/6.42 (~P4(f3(a4,a4),f3(a1,a1),f5(a2))),
% 6.40/6.42 inference(scs_inference,[],[913,993,1121,1185,1179,891,322,630,318,306,25,22,21,24,26,27])).
% 6.40/6.42 cnf(1207,plain,
% 6.40/6.42 (~P2(f5(a1),f7(f6(a4),f6(a4)),f5(a1))),
% 6.40/6.42 inference(scs_inference,[],[81,1075,25])).
% 6.40/6.42 cnf(1211,plain,
% 6.40/6.42 (~P2(f5(a2),f3(a2,a2),f3(a2,a2))),
% 6.40/6.42 inference(scs_inference,[],[81,961,1128,1075,25,22,21])).
% 6.40/6.42 cnf(1221,plain,
% 6.40/6.42 (~P4(f3(a1,a1),f3(a4,a4),f5(a2))),
% 6.40/6.42 inference(scs_inference,[],[81,83,961,1051,1128,1175,1145,1107,937,705,779,1073,1157,1075,1003,364,431,32,169,25,22,21,28,24,29,27,26])).
% 6.40/6.42 cnf(1227,plain,
% 6.40/6.42 (P2(f3(a2,a2),f5(f3(a2,a2)),f5(a1))),
% 6.40/6.42 inference(scs_inference,[],[77,1057,1115,1023,25,22,21])).
% 6.40/6.42 cnf(1229,plain,
% 6.40/6.42 (P4(f3(f6(a4),f6(a4)),f6(a4),f3(a4,a4))),
% 6.40/6.42 inference(scs_inference,[],[77,1057,1115,1047,1023,891,512,25,22,21,27])).
% 6.40/6.42 cnf(1233,plain,
% 6.40/6.42 (~P2(f7(a4,a4),f7(a4,a4),a2)),
% 6.40/6.42 inference(scs_inference,[],[77,83,1171,1057,1115,959,1047,1023,891,1111,261,512,85,25,22,21,27,24,29])).
% 6.40/6.42 cnf(1235,plain,
% 6.40/6.42 (~P4(f7(a4,a4),f6(a4),a2)),
% 6.40/6.42 inference(scs_inference,[],[77,83,1171,350,1057,1115,959,1047,1023,891,1111,261,512,534,85,25,22,21,27,24,29,26])).
% 6.40/6.42 cnf(1249,plain,
% 6.40/6.42 (~P4(f3(f3(a4,a4),f3(a4,a4)),a1,f5(a2))),
% 6.40/6.42 inference(scs_inference,[],[1033,1136,963,368,1083,1157,1175,204,25,22,21,28])).
% 6.40/6.42 cnf(1251,plain,
% 6.40/6.42 (P4(f7(a4,a4),a4,f7(a4,a4))),
% 6.40/6.42 inference(scs_inference,[],[83,1033,1136,963,368,1083,1157,1175,925,204,25,22,21,28,27])).
% 6.40/6.42 cnf(1253,plain,
% 6.40/6.42 (P2(f3(f5(a1),f5(a1)),f5(a1),f5(a1))),
% 6.40/6.42 inference(scs_inference,[],[83,1033,1136,1227,963,820,368,1083,1157,1175,925,204,25,22,21,28,27,24])).
% 6.40/6.42 cnf(1259,plain,
% 6.40/6.42 (P1(f5(a4))),
% 6.40/6.42 inference(scs_inference,[],[83,85,1147,1033,1136,1227,963,820,368,1083,1157,1175,925,699,204,2,25,22,21,28,27,24,26,29,7])).
% 6.40/6.42 cnf(1261,plain,
% 6.40/6.42 (P2(f5(a4),a4,a1)),
% 6.40/6.42 inference(scs_inference,[],[83,85,1147,1033,1136,1227,963,820,368,1083,1157,1175,925,699,204,2,25,22,21,28,27,24,26,29,7,14])).
% 6.40/6.42 cnf(1269,plain,
% 6.40/6.42 (P2(f5(a4),f5(a4),f3(f5(a4),f5(a4)))),
% 6.40/6.42 inference(scs_inference,[],[83,85,1147,1033,1136,1227,963,820,368,1083,1157,1175,925,699,204,2,25,22,21,28,27,24,26,29,7,14,20,9,17,16])).
% 6.40/6.42 cnf(1275,plain,
% 6.40/6.42 (P2(a1,f5(a4),f5(a4))),
% 6.40/6.42 inference(scs_inference,[],[1259,12])).
% 6.40/6.42 cnf(1277,plain,
% 6.40/6.42 (P4(a4,f5(a4),f5(a4))),
% 6.40/6.42 inference(scs_inference,[],[1259,12,13])).
% 6.40/6.42 cnf(1279,plain,
% 6.40/6.42 (P2(f5(a2),f5(a1),f5(a2))),
% 6.40/6.42 inference(scs_inference,[],[81,1259,1197,12,13,25])).
% 6.40/6.42 cnf(1281,plain,
% 6.40/6.42 (P4(f6(a4),f3(f6(a4),f6(a4)),f3(a4,a4))),
% 6.40/6.42 inference(scs_inference,[],[81,1229,1259,1197,12,13,25,22])).
% 6.40/6.42 cnf(1283,plain,
% 6.40/6.42 (P2(f5(a1),f3(f5(a1),f5(a1)),f5(a1))),
% 6.40/6.42 inference(scs_inference,[],[81,1229,1253,1259,1197,12,13,25,22,21])).
% 6.40/6.42 cnf(1287,plain,
% 6.40/6.42 (P4(f7(f6(a4),f6(a4)),f7(a2,a2),f7(a2,a2))),
% 6.40/6.42 inference(scs_inference,[],[81,85,1233,1229,1253,1259,1197,747,925,814,12,13,25,22,21,28,26])).
% 6.40/6.42 cnf(1289,plain,
% 6.40/6.42 (~P4(f7(a4,a4),f7(f6(a4),f6(a4)),a2)),
% 6.40/6.42 inference(scs_inference,[],[81,85,1251,1233,1229,1253,1235,1259,1197,747,925,711,814,12,13,25,22,21,28,26,27])).
% 6.40/6.42 cnf(1291,plain,
% 6.40/6.42 (P2(f5(f6(a2)),f3(a2,a2),f3(a2,a2))),
% 6.40/6.42 inference(scs_inference,[],[81,85,1251,1233,1229,1253,1235,1259,1197,1149,624,228,747,925,711,814,12,13,25,22,21,28,26,27,24])).
% 6.40/6.42 cnf(1297,plain,
% 6.40/6.42 (~P4(a1,f5(a1),f5(a2))),
% 6.40/6.42 inference(scs_inference,[],[81,85,1251,987,1233,1229,1253,1235,1259,1197,1011,1149,624,228,747,925,711,814,31,141,12,13,25,22,21,28,26,27,24,23,29,606])).
% 6.40/6.42 cnf(1301,plain,
% 6.40/6.42 (~P2(a4,f7(a4,a4),a4)),
% 6.40/6.42 inference(scs_inference,[],[85,861,25])).
% 6.40/6.42 cnf(1321,plain,
% 6.40/6.42 (P2(f3(a2,a2),f5(f6(a2)),f3(a2,a2))),
% 6.40/6.42 inference(scs_inference,[],[81,1287,1291,973,261,25,22,21])).
% 6.40/6.42 cnf(1329,plain,
% 6.40/6.42 (P4(f7(a4,a4),f5(a4),f5(a4))),
% 6.40/6.42 inference(scs_inference,[],[79,81,83,1287,1291,576,1281,1277,1261,973,911,540,261,417,169,25,22,21,26,24,28,27])).
% 6.40/6.42 cnf(1331,plain,
% 6.40/6.42 (P4(f3(a4,a4),f5(a4),f3(f5(a4),f5(a4)))),
% 6.40/6.42 inference(scs_inference,[],[79,81,83,85,1287,1269,1291,576,1281,1277,1261,973,911,540,261,417,169,25,22,21,26,24,28,27,29])).
% 6.40/6.42 cnf(1333,plain,
% 6.40/6.42 (~P2(f3(f5(a1),f5(a1)),a1,a4)),
% 6.40/6.42 inference(scs_inference,[],[79,1179,1073,25])).
% 6.40/6.42 cnf(1339,plain,
% 6.40/6.42 (P4(f7(a4,a4),f3(a1,a1),f3(a1,a1))),
% 6.40/6.42 inference(scs_inference,[],[79,669,1207,1147,1179,1073,671,1175,25,22,21,26])).
% 6.40/6.42 cnf(1341,plain,
% 6.40/6.42 (~P4(f7(a1,a1),f3(f7(a4,a4),f7(a4,a4)),a2)),
% 6.40/6.42 inference(scs_inference,[],[79,669,1207,1147,456,1179,131,1073,671,1175,25,22,21,26,27])).
% 6.40/6.42 cnf(1343,plain,
% 6.40/6.42 (P2(f6(a2),f5(a4),f5(a4))),
% 6.40/6.42 inference(scs_inference,[],[79,669,1207,1275,1147,456,1179,131,1073,671,1175,25,22,21,26,27,24])).
% 6.40/6.42 cnf(1345,plain,
% 6.40/6.42 (P4(f3(a2,a2),a2,f3(f7(a2,a2),f7(a2,a2)))),
% 6.40/6.42 inference(scs_inference,[],[79,669,1207,1275,651,1147,456,1179,131,1073,671,1175,204,202,25,22,21,26,27,24,29])).
% 6.40/6.42 cnf(1349,plain,
% 6.40/6.42 (P2(f5(f5(a4)),f5(a4),a1)),
% 6.40/6.42 inference(scs_inference,[],[79,669,1207,1275,651,1147,456,1179,131,1073,1259,671,1175,204,202,25,22,21,26,27,24,29,7,14])).
% 6.40/6.42 cnf(1353,plain,
% 6.40/6.42 (P2(f3(f6(a2),f6(a2)),f5(a4),f5(a4))),
% 6.40/6.42 inference(scs_inference,[],[1343,358,25])).
% 6.40/6.42 cnf(1355,plain,
% 6.40/6.42 (P4(f3(a1,a1),f7(a4,a4),f3(a1,a1))),
% 6.40/6.42 inference(scs_inference,[],[1339,1343,358,25,22])).
% 6.40/6.42 cnf(1357,plain,
% 6.40/6.42 (P2(f5(a4),f6(a2),f5(a4))),
% 6.40/6.42 inference(scs_inference,[],[1339,1343,358,25,22,21])).
% 6.40/6.42 cnf(1359,plain,
% 6.40/6.42 (P4(f7(f6(a4),f6(a4)),f5(a4),f5(a4))),
% 6.40/6.42 inference(scs_inference,[],[1339,1343,1329,939,358,25,22,21,26])).
% 6.40/6.42 cnf(1361,plain,
% 6.40/6.42 (~P4(a4,f7(f6(a4),f6(a4)),a2)),
% 6.40/6.42 inference(scs_inference,[],[83,1339,1289,1343,1329,939,358,163,25,22,21,26,27])).
% 6.40/6.42 cnf(1367,plain,
% 6.40/6.42 (~P4(f5(a4),f5(a2),a1)),
% 6.40/6.42 inference(scs_inference,[],[81,83,1339,775,1289,1343,1283,401,1329,1261,939,358,830,889,403,630,163,25,22,21,26,27,24,28,29])).
% 6.40/6.42 cnf(1373,plain,
% 6.40/6.42 (~P2(f3(a1,a1),f5(f5(a1)),f5(a2))),
% 6.40/6.42 inference(scs_inference,[],[818,790,1357,1107,25,22,21])).
% 6.40/6.42 cnf(1377,plain,
% 6.40/6.42 (~P4(f3(a1,a1),f7(a4,a4),f5(a2))),
% 6.40/6.42 inference(scs_inference,[],[1355,1201,1211,818,790,1357,1107,735,407,169,25,22,21,28,26])).
% 6.40/6.42 cnf(1389,plain,
% 6.40/6.42 (~P2(f3(f7(a1,a1),f7(a1,a1)),f3(a1,a1),f5(a2))),
% 6.40/6.42 inference(scs_inference,[],[1373,429,971,25])).
% 6.40/6.42 cnf(1393,plain,
% 6.40/6.42 (P2(f5(a4),f3(f6(a2),f6(a2)),f5(a4))),
% 6.40/6.42 inference(scs_inference,[],[1331,1373,1353,429,971,25,22,21])).
% 6.40/6.42 cnf(1395,plain,
% 6.40/6.42 (~P2(f3(f5(a1),f5(a1)),f5(a4),a1)),
% 6.40/6.42 inference(scs_inference,[],[1331,1333,1373,1353,429,971,1261,169,25,22,21,24])).
% 6.40/6.42 cnf(1399,plain,
% 6.40/6.42 (~P4(f6(a2),a4,f6(a4))),
% 6.40/6.42 inference(scs_inference,[],[81,1331,1333,1373,1353,342,429,971,1261,822,596,484,245,169,25,22,21,24,28,26])).
% 6.40/6.42 cnf(1401,plain,
% 6.40/6.42 (P4(f7(f7(a4,a4),f7(a4,a4)),f3(a1,a1),f3(a1,a1))),
% 6.40/6.42 inference(scs_inference,[],[81,1331,1333,1373,1353,342,429,971,1339,1261,632,822,596,484,245,169,25,22,21,24,28,26,27])).
% 6.40/6.42 cnf(1403,plain,
% 6.40/6.42 (P4(f3(a4,a4),a4,f3(f7(a4,a4),f7(a4,a4)))),
% 6.40/6.42 inference(scs_inference,[],[81,83,85,1331,1333,1373,1353,342,429,971,1339,1261,632,822,634,596,484,245,169,25,22,21,24,28,26,27,29])).
% 6.40/6.42 cnf(1411,plain,
% 6.40/6.42 (~P2(f3(a1,a1),f3(f7(a1,a1),f7(a1,a1)),f5(a2))),
% 6.40/6.42 inference(scs_inference,[],[1297,1389,1191,1195,552,25,22,21])).
% 6.40/6.42 cnf(1413,plain,
% 6.40/6.42 (P2(f3(f5(a1),f5(a1)),f5(a4),f5(a4))),
% 6.40/6.42 inference(scs_inference,[],[1297,1389,1191,1195,1275,552,25,22,21,24])).
% 6.40/6.42 cnf(1417,plain,
% 6.40/6.42 (~P4(f5(a4),a4,a1)),
% 6.40/6.42 inference(scs_inference,[],[83,1401,1297,1377,1389,1191,1195,1355,1275,552,1261,822,245,25,22,21,24,27,28])).
% 6.40/6.42 cnf(1421,plain,
% 6.40/6.42 (P4(f3(f6(a4),f6(a4)),a4,f3(a4,a4))),
% 6.40/6.42 inference(scs_inference,[],[83,85,1401,1297,1377,1389,1191,1195,1355,1275,514,552,1261,632,822,306,245,25,22,21,24,27,28,26,29])).
% 6.40/6.42 cnf(1428,plain,
% 6.40/6.42 (P2(f6(a2),f3(a1,a1),f3(a1,a1))),
% 6.40/6.42 inference(scs_inference,[],[107,4,25])).
% 6.40/6.42 cnf(1432,plain,
% 6.40/6.42 (P2(f5(a4),f5(f5(a4)),a1)),
% 6.40/6.42 inference(scs_inference,[],[107,1349,1345,4,25,22,21])).
% 6.40/6.42 cnf(1434,plain,
% 6.40/6.42 (P2(f5(a4),a1,f5(a4))),
% 6.40/6.42 inference(scs_inference,[],[107,1349,1345,1275,4,25,22,21,24])).
% 6.40/6.42 cnf(1446,plain,
% 6.40/6.42 (~P2(f6(a4),f7(f6(a4),f6(a4)),f6(a4))),
% 6.40/6.42 inference(scs_inference,[],[538,1075,25])).
% 6.40/6.42 cnf(1452,plain,
% 6.40/6.42 (P2(f3(f6(a2),f6(a2)),a1,a1)),
% 6.40/6.42 inference(scs_inference,[],[1367,1301,1432,538,1353,1075,25,22,21,24])).
% 6.40/6.42 cnf(1462,plain,
% 6.40/6.42 (~P2(a1,f3(a1,a1),f5(a2))),
% 6.40/6.42 inference(scs_inference,[],[107,1411,486,25])).
% 6.40/6.42 cnf(1466,plain,
% 6.40/6.42 (P2(f3(a1,a1),f6(a2),f3(a1,a1))),
% 6.40/6.42 inference(scs_inference,[],[107,1411,1359,1428,486,25,22,21])).
% 6.40/6.42 cnf(1468,plain,
% 6.40/6.42 (~P2(f5(f3(a2,a2)),f3(a1,a1),f5(a2))),
% 6.40/6.42 inference(scs_inference,[],[107,1411,1359,1428,955,486,1111,25,22,21,24])).
% 6.40/6.42 cnf(1470,plain,
% 6.40/6.42 (P4(f3(a2,a2),f6(a4),f3(a2,a2))),
% 6.40/6.42 inference(scs_inference,[],[107,1411,1359,1428,955,1009,208,486,1111,711,25,22,21,24,27])).
% 6.40/6.42 cnf(1474,plain,
% 6.40/6.42 (~P4(f5(a4),a4,f3(f6(a2),f6(a2)))),
% 6.40/6.42 inference(scs_inference,[],[107,1411,1359,1428,955,1434,1417,1421,785,1452,1009,208,486,1111,346,711,186,245,25,22,21,24,27,28,29])).
% 6.40/6.42 cnf(1476,plain,
% 6.40/6.42 (~P4(f7(f6(a2),f6(a2)),a2,f6(a4))),
% 6.40/6.42 inference(scs_inference,[],[107,1411,1359,1428,955,1434,1417,1421,785,1399,1452,1009,208,486,354,1111,346,711,186,40,245,25,22,21,24,27,28,29,26])).
% 6.40/6.42 cnf(1480,plain,
% 6.40/6.42 (~P2(f3(f6(a2),f6(a2)),f3(a1,a1),f5(a2))),
% 6.40/6.42 inference(scs_inference,[],[107,1462,1452,25])).
% 6.40/6.42 cnf(1482,plain,
% 6.40/6.42 (~P4(f7(f6(a2),f6(a2)),f3(a4,a4),f6(a2))),
% 6.40/6.42 inference(scs_inference,[],[107,1153,1462,1452,25,22])).
% 6.40/6.42 cnf(1486,plain,
% 6.40/6.42 (P2(f3(f6(a2),f6(a2)),f3(a1,a1),f3(a1,a1))),
% 6.40/6.42 inference(scs_inference,[],[107,1153,1468,1462,1452,25,22,21,24])).
% 6.40/6.42 cnf(1492,plain,
% 6.40/6.42 (P4(f3(a1,a1),f7(f6(a4),f6(a4)),f3(a1,a1))),
% 6.40/6.42 inference(scs_inference,[],[109,107,1153,1468,1462,443,933,1367,1013,1452,372,512,245,25,22,21,24,27,28,26])).
% 6.40/6.42 cnf(1494,plain,
% 6.40/6.42 (P4(f3(a4,a4),a2,f3(a2,a2))),
% 6.40/6.42 inference(scs_inference,[],[109,107,1153,1468,1462,443,933,1367,1013,1452,372,512,204,163,245,85,25,22,21,24,27,28,26,29])).
% 6.40/6.42 cnf(1502,plain,
% 6.40/6.42 (P2(f5(a2),f3(f5(a1),f5(a1)),f5(a2))),
% 6.40/6.42 inference(scs_inference,[],[1279,1283,25])).
% 6.40/6.42 cnf(1506,plain,
% 6.40/6.42 (P2(f3(a1,a1),f3(f6(a2),f6(a2)),f3(a1,a1))),
% 6.40/6.42 inference(scs_inference,[],[1486,1470,1279,1283,25,22,21])).
% 6.40/6.42 cnf(1512,plain,
% 6.40/6.42 (~P4(f6(a2),f7(f6(a4),f6(a4)),f5(a2))),
% 6.40/6.42 inference(scs_inference,[],[107,1486,1492,1221,1470,1466,1279,1462,1283,1355,1147,340,25,22,21,24,27,28])).
% 6.40/6.42 cnf(1524,plain,
% 6.40/6.42 (~P2(f3(a1,a1),f7(f6(a4),f6(a4)),f3(a1,a1))),
% 6.40/6.42 inference(scs_inference,[],[284,1075,25])).
% 6.40/6.42 cnf(1530,plain,
% 6.40/6.42 (~P2(f3(a1,a1),f3(f6(a2),f6(a2)),f5(a2))),
% 6.40/6.42 inference(scs_inference,[],[1506,439,1446,1480,1486,284,1075,25,22,21,24])).
% 6.40/6.42 cnf(1536,plain,
% 6.40/6.42 (P4(f3(f7(a4,a4),f7(a4,a4)),f7(a1,a1),f7(a1,a1))),
% 6.40/6.42 inference(scs_inference,[],[111,109,93,1506,953,439,1446,1480,1486,1421,284,1075,634,255,186,25,22,21,24,27,26,29])).
% 6.40/6.42 cnf(1542,plain,
% 6.40/6.42 (P4(f7(a1,a1),f3(f7(a4,a4),f7(a4,a4)),f7(a1,a1))),
% 6.40/6.42 inference(scs_inference,[],[1536,1524,1466,25,22])).
% 6.40/6.42 cnf(1544,plain,
% 6.40/6.42 (P2(f3(f5(a1),f5(a1)),f5(a2),f5(a2))),
% 6.40/6.42 inference(scs_inference,[],[1536,1524,1502,1466,25,22,21])).
% 6.40/6.42 cnf(1546,plain,
% 6.40/6.42 (~P2(f6(a2),a4,f6(a2))),
% 6.40/6.42 inference(scs_inference,[],[113,1536,1524,1502,1466,931,169,25,22,21,24])).
% 6.40/6.42 cnf(1548,plain,
% 6.40/6.42 (P4(f3(f7(a4,a4),f7(a4,a4)),a2,f3(a2,a2))),
% 6.40/6.42 inference(scs_inference,[],[113,1536,1524,1403,1494,1502,1466,931,163,169,25,22,21,24,27])).
% 6.40/6.42 cnf(1550,plain,
% 6.40/6.42 (~P4(f7(a1,a1),f6(a4),f6(f7(a4,a4)))),
% 6.40/6.42 inference(scs_inference,[],[113,109,1536,1524,1403,1494,1502,957,979,1466,931,163,169,25,22,21,24,27,28])).
% 6.40/6.42 cnf(1552,plain,
% 6.40/6.42 (~P4(f7(a2,a2),f6(a2),f3(a4,a4))),
% 6.40/6.42 inference(scs_inference,[],[113,109,1536,1524,1403,1482,1494,1502,957,979,1466,618,931,626,163,169,25,22,21,24,27,28,26])).
% 6.40/6.42 cnf(1556,plain,
% 6.40/6.42 (~P2(f5(f5(a4)),f5(a4),a4)),
% 6.40/6.42 inference(scs_inference,[],[113,1357,1349,25])).
% 6.40/6.42 cnf(1558,plain,
% 6.40/6.42 (~P4(a4,a2,a4)),
% 6.40/6.42 inference(scs_inference,[],[115,113,1357,1349,25,22])).
% 6.40/6.42 cnf(1560,plain,
% 6.40/6.42 (~P2(a4,f5(a1),f5(a1))),
% 6.40/6.42 inference(scs_inference,[],[115,113,454,1357,1349,25,22,21])).
% 6.40/6.42 cnf(1562,plain,
% 6.40/6.42 (P2(f5(f6(a2)),f5(a1),f5(a1))),
% 6.40/6.42 inference(scs_inference,[],[115,113,454,1291,1357,1227,1349,25,22,21,24])).
% 6.40/6.42 cnf(1564,plain,
% 6.40/6.42 (~P4(f7(a1,a1),f3(a2,a2),f7(a2,a2))),
% 6.40/6.42 inference(scs_inference,[],[115,113,1542,454,1548,1291,1357,1227,965,1349,25,22,21,24,27])).
% 6.40/6.42 cnf(1566,plain,
% 6.40/6.42 (~P4(f5(f6(a2)),f6(a4),f5(a2))),
% 6.40/6.42 inference(scs_inference,[],[115,113,1542,454,1548,1321,1128,1291,1470,1357,1227,965,1349,25,22,21,24,27,28])).
% 6.40/6.42 cnf(1570,plain,
% 6.40/6.42 (P4(f7(f6(a4),f6(a4)),f5(a2),f5(a2))),
% 6.40/6.42 inference(scs_inference,[],[115,113,1542,454,1474,1548,1321,1128,1291,1470,1357,1227,965,1343,1349,358,830,814,496,25,22,21,24,27,28,29,26])).
% 6.40/6.42 cnf(1572,plain,
% 6.40/6.42 (P2(f3(f6(a2),f6(a2)),f3(a2,a2),f3(a2,a2))),
% 6.40/6.42 inference(scs_inference,[],[1149,358,25])).
% 6.40/6.42 cnf(1574,plain,
% 6.40/6.42 (P4(f5(a2),f7(f6(a4),f6(a4)),f5(a2))),
% 6.40/6.42 inference(scs_inference,[],[1570,1149,358,25,22])).
% 6.40/6.42 cnf(1576,plain,
% 6.40/6.42 (P2(f5(a1),f5(f6(a2)),f5(a1))),
% 6.40/6.42 inference(scs_inference,[],[1570,1562,1149,358,25,22,21])).
% 6.40/6.42 cnf(1578,plain,
% 6.40/6.42 (~P2(f5(a4),f3(f6(a2),f6(a2)),a1)),
% 6.40/6.42 inference(scs_inference,[],[1413,1570,1562,1395,1393,1149,358,25,22,21,24])).
% 6.40/6.42 cnf(1586,plain,
% 6.40/6.42 (~P2(f7(f6(a2),f6(a2)),f3(a4,a4),a2)),
% 6.40/6.42 inference(scs_inference,[],[93,109,1413,1570,1562,1395,1361,1393,1542,887,1494,688,443,1013,909,1149,526,358,25,22,21,24,27,28,26,29])).
% 6.40/6.42 cnf(1588,plain,
% 6.40/6.42 (~P2(f7(a1,a1),f7(f6(a4),f6(a4)),f7(a1,a1))),
% 6.40/6.42 inference(scs_inference,[],[733,1075,25])).
% 6.40/6.42 cnf(1590,plain,
% 6.40/6.42 (~P4(f3(a2,a2),f7(a1,a1),f7(a2,a2))),
% 6.40/6.42 inference(scs_inference,[],[1564,733,1075,25,22])).
% 6.40/6.42 cnf(1604,plain,
% 6.40/6.42 (~P2(f3(f6(a2),f6(a2)),f5(a4),a1)),
% 6.40/6.42 inference(scs_inference,[],[1578,1393,1353,25])).
% 6.40/6.42 cnf(1606,plain,
% 6.40/6.42 (P4(f7(a1,a1),f3(f6(a4),f6(a4)),f7(a1,a1))),
% 6.40/6.42 inference(scs_inference,[],[1578,1119,1393,1353,25,22])).
% 6.40/6.42 cnf(1608,plain,
% 6.40/6.42 (P2(f3(a2,a2),f3(f6(a2),f6(a2)),f3(a2,a2))),
% 6.40/6.42 inference(scs_inference,[],[1572,1578,1119,1393,1353,25,22,21])).
% 6.40/6.42 cnf(1618,plain,
% 6.40/6.42 (~P4(f5(a4),f5(a2),f3(f5(a1),f5(a1)))),
% 6.40/6.42 inference(scs_inference,[],[111,113,1572,1574,1566,1578,1119,1544,775,1393,1353,1494,592,830,1261,711,255,169,25,22,21,24,27,26,28,29])).
% 6.40/6.42 cnf(1620,plain,
% 6.40/6.42 (~P2(f5(f3(a2,a2)),a2,f5(a1))),
% 6.40/6.42 inference(scs_inference,[],[117,1115,204,25])).
% 6.40/6.42 cnf(1624,plain,
% 6.40/6.42 (~P2(f7(f6(a4),f6(a4)),f7(a1,a1),f7(a1,a1))),
% 6.40/6.42 inference(scs_inference,[],[117,1588,1341,1115,204,25,22,21])).
% 6.40/6.42 cnf(1628,plain,
% 6.40/6.42 (P2(f3(f6(a2),f6(a2)),f5(a1),f5(a1))),
% 6.40/6.42 inference(scs_inference,[],[117,1606,1588,1341,1550,1572,1229,1227,1115,204,25,22,21,27,24])).
% 6.40/6.42 cnf(1632,plain,
% 6.40/6.42 (P4(f7(f6(a4),f6(a4)),a1,a1)),
% 6.40/6.42 inference(scs_inference,[],[117,1608,1606,1588,1341,1550,1572,1229,1128,1470,1227,939,1115,204,255,25,22,21,27,24,28,26])).
% 6.40/6.42 cnf(1638,plain,
% 6.40/6.42 (P2(f6(a2),f7(a4,a4),f7(a4,a4))),
% 6.40/6.42 inference(scs_inference,[],[413,4,25])).
% 6.40/6.42 cnf(1640,plain,
% 6.40/6.42 (P4(a1,f7(f6(a4),f6(a4)),a1)),
% 6.40/6.42 inference(scs_inference,[],[1632,413,4,25,22])).
% 6.40/6.42 cnf(1642,plain,
% 6.40/6.42 (P2(f5(a1),f3(f6(a2),f6(a2)),f5(a1))),
% 6.40/6.42 inference(scs_inference,[],[1628,1632,413,4,25,22,21])).
% 6.40/6.42 cnf(1648,plain,
% 6.40/6.42 (~P4(f7(a4,a4),f7(a1,a1),f7(f6(a4),f6(a4)))),
% 6.40/6.42 inference(scs_inference,[],[1624,1558,1628,1632,1536,1480,139,413,443,634,93,4,25,22,21,24,27,28])).
% 6.40/6.42 cnf(1656,plain,
% 6.40/6.42 (P2(f5(a4),f7(a1,a1),f5(a4))),
% 6.40/6.42 inference(scs_inference,[],[1434,374,25])).
% 6.40/6.42 cnf(1658,plain,
% 6.40/6.42 (~P4(f7(a1,a1),f7(a4,a4),f7(f6(a4),f6(a4)))),
% 6.40/6.42 inference(scs_inference,[],[1648,1434,374,25,22])).
% 6.40/6.42 cnf(1668,plain,
% 6.40/6.42 (~P4(f3(f3(a2,a2),f3(a2,a2)),f7(a1,a1),f7(a2,a2))),
% 6.40/6.42 inference(scs_inference,[],[1648,1590,845,1586,1552,1638,1560,951,622,1434,661,374,137,484,40,25,22,21,27,24,28,26])).
% 6.40/6.42 cnf(1670,plain,
% 6.40/6.42 (P4(f6(a2),f7(f6(a4),f6(a4)),f6(a2))),
% 6.40/6.42 inference(scs_inference,[],[1648,1590,845,1586,1552,1638,1560,1640,951,622,1434,661,374,137,484,4,40,25,22,21,27,24,28,26,29])).
% 6.40/6.42 cnf(1676,plain,
% 6.40/6.42 (P4(f7(f6(a4),f6(a4)),f6(a2),f6(a2))),
% 6.40/6.42 inference(scs_inference,[],[113,1670,284,1466,25,22])).
% 6.40/6.42 cnf(1678,plain,
% 6.40/6.42 (P2(f7(a1,a1),f5(a4),f5(a4))),
% 6.40/6.42 inference(scs_inference,[],[113,1670,1656,284,1466,25,22,21])).
% 6.40/6.42 cnf(1680,plain,
% 6.40/6.42 (~P2(f7(a2,a2),a4,f7(a2,a2))),
% 6.40/6.42 inference(scs_inference,[],[113,1670,1167,1656,284,1466,923,169,25,22,21,24])).
% 6.40/6.42 cnf(1699,plain,
% 6.40/6.42 (P2(f5(f5(a1)),f5(a4),f5(a4))),
% 6.40/6.42 inference(scs_inference,[],[1668,1530,1546,1512,1642,1676,1678,1670,917,1279,25,22,27,21,24])).
% 6.40/6.42 cnf(1713,plain,
% 6.40/6.42 (P2(f3(f6(a2),f6(a2)),f7(a4,a4),f7(a4,a4))),
% 6.40/6.42 inference(scs_inference,[],[1638,358,25])).
% 6.40/6.42 cnf(1715,plain,
% 6.40/6.42 (P4(f6(a2),f3(a4,a4),f3(f6(a2),f6(a2)))),
% 6.40/6.42 inference(scs_inference,[],[1117,1638,358,25,22])).
% 6.40/6.42 cnf(1717,plain,
% 6.40/6.42 (~P2(f5(a4),f5(f5(a4)),a2)),
% 6.40/6.42 inference(scs_inference,[],[1699,520,1117,1638,1432,358,25,22,24])).
% 6.40/6.42 cnf(1725,plain,
% 6.40/6.42 (~P4(a1,f7(f6(a4),f6(a4)),f5(a2))),
% 6.40/6.42 inference(scs_inference,[],[1658,1699,520,853,1117,1638,969,1403,1640,1432,824,267,358,417,34,25,22,24,27,21,26,28])).
% 6.40/6.42 cnf(1743,plain,
% 6.40/6.42 (~P4(f3(a4,a4),f6(a4),f6(a4))),
% 6.40/6.42 inference(scs_inference,[],[614,1618,1556,1476,1604,1446,1572,828,1570,1574,618,1111,275,534,711,85,25,21,22,24,27,26,28])).
% 6.40/6.42 cnf(1749,plain,
% 6.40/6.42 (P4(f3(a4,a4),f6(a4),f3(a4,a4))),
% 6.40/6.42 inference(scs_inference,[],[1717,1413,1229,1421,1432,534,25,27])).
% 6.40/6.42 cnf(1757,plain,
% 6.40/6.42 (~P4(f3(f6(a2),f6(a2)),f3(a2,a2),f5(a2))),
% 6.40/6.42 inference(scs_inference,[],[1713,1620,1717,1576,1413,1211,1548,1229,1421,1432,659,1115,534,25,27,21,22,24,28])).
% 6.40/6.42 cnf(1763,plain,
% 6.40/6.42 (P2(f3(f6(a2),f6(a2)),f6(a2),f6(a2))),
% 6.40/6.42 inference(scs_inference,[],[1680,1713,1049,550,1261,25,24])).
% 6.40/6.42 cnf(1773,plain,
% 6.40/6.42 (~P2(f6(a4),f6(a4),f6(a4))),
% 6.40/6.42 inference(scs_inference,[],[1680,1249,1743,1725,1713,1632,1049,550,458,1640,1339,1261,534,85,25,24,27,21,22,28,29])).
% 6.40/6.42 cnf(1789,plain,
% 6.40/6.42 (~P2(f6(a2),f6(a2),f6(a2))),
% 6.40/6.42 inference(scs_inference,[],[133,1773,1715,1749,1757,1763,802,1253,808,1676,1678,1117,139,220,534,25,22,24,27,21,28,29,564])).
% 6.40/6.42 cnf(1792,plain,
% 6.40/6.42 ($false),
% 6.40/6.42 inference(scs_inference,[],[1789,941,869,25]),
% 6.40/6.42 ['proof']).
% 6.40/6.42 % SZS output end Proof
% 6.40/6.42 % Total time :5.720000s
%------------------------------------------------------------------------------