TSTP Solution File: CAT003-1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : CAT003-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n021.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 18:13:38 EDT 2023
% Result : Unsatisfiable 3.10s 3.20s
% Output : CNFRefutation 3.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : CAT003-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.15/0.35 % Computer : n021.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sun Aug 27 00:27:42 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.21/0.58 start to proof:theBenchmark
% 3.10/3.19 %-------------------------------------------
% 3.10/3.19 % File :CSE---1.6
% 3.10/3.19 % Problem :theBenchmark
% 3.10/3.19 % Transform :cnf
% 3.10/3.19 % Format :tptp:raw
% 3.10/3.19 % Command :java -jar mcs_scs.jar %d %s
% 3.10/3.19
% 3.10/3.19 % Result :Theorem 2.540000s
% 3.10/3.19 % Output :CNFRefutation 2.540000s
% 3.10/3.19 %-------------------------------------------
% 3.10/3.19 %--------------------------------------------------------------------------
% 3.10/3.19 % File : CAT003-1 : TPTP v8.1.2. Released v1.0.0.
% 3.10/3.19 % Domain : Category Theory
% 3.10/3.19 % Problem : XY epimorphism => X epimorphism
% 3.10/3.19 % Version : [Mit67] axioms.
% 3.10/3.19 % English : If xy is an epimorphism, then x is an epimorphism.
% 3.10/3.19
% 3.10/3.19 % Refs : [Mit67] Mitchell (1967), Theory of Categories
% 3.10/3.19 % : [MOW76] McCharen et al. (1976), Problems and Experiments for a
% 3.10/3.19 % Source : [ANL]
% 3.10/3.19 % Names : C3 [MOW76]
% 3.10/3.19 % : p3.ver1.in [ANL]
% 3.10/3.20
% 3.10/3.20 % Status : Unsatisfiable
% 3.10/3.20 % Rating : 0.08 v8.1.0, 0.11 v7.5.0, 0.10 v7.4.0, 0.11 v7.3.0, 0.00 v6.0.0, 0.33 v5.5.0, 0.31 v5.4.0, 0.27 v5.3.0, 0.33 v5.2.0, 0.38 v5.1.0, 0.43 v5.0.0, 0.29 v4.1.0, 0.11 v4.0.1, 0.17 v4.0.0, 0.33 v3.7.0, 0.17 v3.5.0, 0.00 v3.1.0, 0.22 v2.7.0, 0.00 v2.6.0, 0.29 v2.5.0, 0.00 v2.4.0, 0.17 v2.3.0, 0.00 v2.2.1, 0.44 v2.2.0, 0.43 v2.1.0, 0.60 v2.0.0
% 3.10/3.20 % Syntax : Number of clauses : 23 ( 10 unt; 0 nHn; 17 RR)
% 3.10/3.20 % Number of literals : 52 ( 3 equ; 30 neg)
% 3.10/3.20 % Maximal clause size : 4 ( 2 avg)
% 3.10/3.20 % Maximal term depth : 2 ( 1 avg)
% 3.10/3.20 % Number of predicates : 4 ( 3 usr; 0 prp; 1-3 aty)
% 3.10/3.20 % Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% 3.10/3.20 % Number of variables : 55 ( 5 sgn)
% 3.10/3.20 % SPC : CNF_UNS_RFO_SEQ_HRN
% 3.10/3.20
% 3.10/3.20 % Comments :
% 3.10/3.20 %--------------------------------------------------------------------------
% 3.10/3.20 %----Include Mitchell's axioms for category theory
% 3.10/3.20 include('Axioms/CAT001-0.ax').
% 3.10/3.20 %--------------------------------------------------------------------------
% 3.10/3.20 cnf(ab_equals_c,hypothesis,
% 3.10/3.20 product(a,b,c) ).
% 3.10/3.20
% 3.10/3.20 cnf(cancellation_for_product,hypothesis,
% 3.10/3.20 ( ~ product(X,c,W)
% 3.10/3.20 | ~ product(Y,c,W)
% 3.10/3.20 | X = Y ) ).
% 3.10/3.20
% 3.10/3.20 cnf(ha_equals_d,hypothesis,
% 3.10/3.20 product(h,a,d) ).
% 3.10/3.20
% 3.10/3.20 cnf(ga_equals_d,hypothesis,
% 3.10/3.20 product(g,a,d) ).
% 3.10/3.20
% 3.10/3.20 cnf(prove_h_equals_g,negated_conjecture,
% 3.10/3.20 h != g ).
% 3.10/3.20
% 3.10/3.20 %----The ANL group use these extra lemmas as demodulators -
% 3.10/3.20 %input_clause(name,hypothesis,
% 3.10/3.20 % [++equal(domain(domain(X)),domain(X))]).
% 3.10/3.20 %input_clause(name,hypothesis,
% 3.10/3.20 % [++equal(codomain(domain(X)),domain(X))]).
% 3.10/3.20 %input_clause(name,hypothesis,
% 3.10/3.20 % [++equal(domain(codomain(X)),codomain(X))]).
% 3.10/3.20 %input_clause(name,hypothesis,
% 3.10/3.20 % [++equal(codomain(codomain(X)),codomain(X))]).
% 3.10/3.20 %input_clause(name,hypothesis,
% 3.10/3.20 % [++equal(compose(codomain(X),X),X)]).
% 3.10/3.20 %input_clause(name,hypothesis,
% 3.10/3.20 % [++equal(compose(X,domain(X)),X)]).
% 3.10/3.20 %input_clause(name,hypothesis,
% 3.10/3.20 % [++equal(compose(codomain(X),codomain(X)),codomain(X))]).
% 3.10/3.20 %input_clause(name,hypothesis,
% 3.10/3.20 % [++equal(compose(domain(X),domain(X)),domain(X))]).
% 3.10/3.20 %input_clause(name,hypothesis,
% 3.10/3.20 % [++equal(domain(compose(X,Y)),domain(Y))]).
% 3.10/3.20 %input_clause(name,hypothesis,
% 3.10/3.20 % [++equal(codomain(compose(X,Y)),codomain(X))]).
% 3.10/3.20 %--------------------------------------------------------------------------
% 3.10/3.20 %-------------------------------------------
% 3.10/3.20 % Proof found
% 3.10/3.20 % SZS status Theorem for theBenchmark
% 3.10/3.20 % SZS output start Proof
% 3.10/3.20 %ClaNum:36(EqnAxiom:13)
% 3.10/3.20 %VarNum:114(SingletonVarNum:55)
% 3.10/3.20 %MaxLitNum:4
% 3.10/3.20 %MaxfuncDepth:1
% 3.10/3.20 %SharedTerms:10
% 3.10/3.20 %goalClause: 23
% 3.10/3.20 %singleGoalClaCount:1
% 3.10/3.20 [18]P3(a3,a4,a5)
% 3.10/3.20 [19]P3(a8,a3,a6)
% 3.10/3.20 [20]P3(a9,a3,a6)
% 3.10/3.20 [23]~E(a9,a8)
% 3.10/3.20 [14]P1(f1(x141))
% 3.10/3.20 [15]P1(f2(x151))
% 3.10/3.20 [16]P2(x161,f1(x161))
% 3.10/3.20 [17]P2(f2(x171),x171)
% 3.10/3.20 [21]P3(x211,f1(x211),x211)
% 3.10/3.20 [22]P3(f2(x221),x221,x221)
% 3.10/3.20 [28]~P2(x281,x282)+P3(x281,x282,f7(x281,x282))
% 3.10/3.20 [27]P2(x271,x272)+~P3(x271,x272,x273)
% 3.10/3.20 [25]~P1(x251)+~P2(x251,x252)+P3(x251,x252,x252)
% 3.10/3.20 [26]~P1(x262)+~P2(x261,x262)+P3(x261,x262,x261)
% 3.10/3.20 [31]E(x311,x312)+~P3(x311,a5,x313)+~P3(x312,a5,x313)
% 3.10/3.20 [29]P2(x291,x292)+~P3(x292,x294,x293)+~P2(x291,x293)
% 3.10/3.20 [30]P2(x301,x302)+~P3(x304,x301,x303)+~P2(x303,x302)
% 3.10/3.20 [32]~P3(x323,x324,x321)+E(x321,x322)+~P3(x323,x324,x322)
% 3.10/3.20 [24]~P2(x243,x242)+~P2(x241,x243)+P2(x241,x242)+~P1(x243)
% 3.10/3.20 [33]~P3(x335,x332,x334)+P2(x331,x332)+~P3(x333,x335,x331)+~P2(x333,x334)
% 3.10/3.20 [34]~P3(x341,x345,x343)+P2(x341,x342)+~P3(x345,x344,x342)+~P2(x343,x344)
% 3.10/3.20 [35]~P3(x356,x352,x355)+P3(x351,x352,x353)+~P3(x354,x355,x353)+~P3(x354,x356,x351)
% 3.10/3.20 [36]~P3(x361,x366,x364)+P3(x361,x362,x363)+~P3(x364,x365,x363)+~P3(x366,x365,x362)
% 3.10/3.20 %EqnAxiom
% 3.10/3.20 [1]E(x11,x11)
% 3.10/3.20 [2]E(x22,x21)+~E(x21,x22)
% 3.10/3.20 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 3.10/3.20 [4]~E(x41,x42)+E(f1(x41),f1(x42))
% 3.10/3.20 [5]~E(x51,x52)+E(f2(x51),f2(x52))
% 3.10/3.20 [6]~E(x61,x62)+E(f7(x61,x63),f7(x62,x63))
% 3.10/3.20 [7]~E(x71,x72)+E(f7(x73,x71),f7(x73,x72))
% 3.10/3.20 [8]~P1(x81)+P1(x82)+~E(x81,x82)
% 3.10/3.20 [9]P3(x92,x93,x94)+~E(x91,x92)+~P3(x91,x93,x94)
% 3.10/3.20 [10]P3(x103,x102,x104)+~E(x101,x102)+~P3(x103,x101,x104)
% 3.10/3.20 [11]P3(x113,x114,x112)+~E(x111,x112)+~P3(x113,x114,x111)
% 3.10/3.20 [12]P2(x122,x123)+~E(x121,x122)+~P2(x121,x123)
% 3.10/3.20 [13]P2(x133,x132)+~E(x131,x132)+~P2(x133,x131)
% 3.10/3.20
% 3.10/3.20 %-------------------------------------------
% 3.10/3.21 cnf(37,plain,
% 3.10/3.21 (P2(a4,f1(a5))),
% 3.10/3.21 inference(scs_inference,[],[18,16,30])).
% 3.10/3.21 cnf(38,plain,
% 3.10/3.21 (P2(x381,f1(x381))),
% 3.10/3.21 inference(rename_variables,[],[16])).
% 3.10/3.21 cnf(39,plain,
% 3.10/3.21 (P2(f2(a5),a3)),
% 3.10/3.21 inference(scs_inference,[],[18,16,17,30,29])).
% 3.10/3.21 cnf(40,plain,
% 3.10/3.21 (P2(f2(x401),x401)),
% 3.10/3.21 inference(rename_variables,[],[17])).
% 3.10/3.21 cnf(42,plain,
% 3.10/3.21 (P3(f2(a8),a6,a6)),
% 3.10/3.21 inference(scs_inference,[],[18,19,22,16,17,30,29,36])).
% 3.10/3.21 cnf(43,plain,
% 3.10/3.21 (P3(f2(x431),x431,x431)),
% 3.10/3.21 inference(rename_variables,[],[22])).
% 3.10/3.21 cnf(45,plain,
% 3.10/3.21 (P3(a5,f1(a4),a5)),
% 3.10/3.21 inference(scs_inference,[],[18,19,21,22,16,17,30,29,36,35])).
% 3.10/3.21 cnf(46,plain,
% 3.10/3.21 (P3(x461,f1(x461),x461)),
% 3.10/3.21 inference(rename_variables,[],[21])).
% 3.10/3.21 cnf(48,plain,
% 3.10/3.21 (~E(a8,a9)),
% 3.10/3.21 inference(scs_inference,[],[23,18,19,21,22,16,17,30,29,36,35,2])).
% 3.10/3.21 cnf(49,plain,
% 3.10/3.21 (P2(a3,a4)),
% 3.10/3.21 inference(scs_inference,[],[23,18,19,21,22,16,17,30,29,36,35,2,27])).
% 3.10/3.21 cnf(51,plain,
% 3.10/3.21 (P3(x511,f1(x511),f7(x511,f1(x511)))),
% 3.10/3.21 inference(scs_inference,[],[23,18,19,21,22,16,38,17,30,29,36,35,2,27,28])).
% 3.10/3.21 cnf(54,plain,
% 3.10/3.21 (~P3(a9,f1(a9),a8)),
% 3.10/3.21 inference(scs_inference,[],[23,18,19,21,46,22,16,38,17,14,30,29,36,35,2,27,28,8,32])).
% 3.10/3.21 cnf(55,plain,
% 3.10/3.21 (P3(x551,f1(x551),x551)),
% 3.10/3.21 inference(rename_variables,[],[21])).
% 3.10/3.21 cnf(59,plain,
% 3.10/3.21 (~E(f1(x591),x592)+P2(f2(a3),a5)),
% 3.10/3.21 inference(scs_inference,[],[23,18,19,21,46,22,43,16,38,17,14,30,29,36,35,2,27,28,8,32,25,34])).
% 3.10/3.21 cnf(62,plain,
% 3.10/3.21 (~E(f1(x621),x622)+P2(a5,f1(a4))),
% 3.10/3.21 inference(scs_inference,[],[23,18,19,21,46,55,22,43,16,38,17,14,30,29,36,35,2,27,28,8,32,25,34,33])).
% 3.10/3.21 cnf(69,plain,
% 3.10/3.21 (P3(a4,f1(a5),a4)+~E(f1(a5),x691)),
% 3.10/3.21 inference(scs_inference,[],[23,18,19,21,46,55,22,43,16,38,17,40,14,30,29,36,35,2,27,28,8,32,25,34,33,24,31,26])).
% 3.10/3.21 cnf(75,plain,
% 3.10/3.21 (P2(f2(a3),a5)),
% 3.10/3.21 inference(equality_inference,[],[59])).
% 3.10/3.21 cnf(76,plain,
% 3.10/3.21 (P2(a5,f1(a4))),
% 3.10/3.21 inference(equality_inference,[],[62])).
% 3.10/3.21 cnf(79,plain,
% 3.10/3.21 (P3(a4,f1(a5),a4)),
% 3.10/3.21 inference(equality_inference,[],[69])).
% 3.10/3.21 cnf(80,plain,
% 3.10/3.21 (~E(f7(a9,f1(a9)),a8)),
% 3.10/3.21 inference(scs_inference,[],[51,54,11])).
% 3.10/3.21 cnf(81,plain,
% 3.10/3.21 (P3(x811,f1(x811),f7(x811,f1(x811)))),
% 3.10/3.21 inference(rename_variables,[],[51])).
% 3.10/3.21 cnf(82,plain,
% 3.10/3.21 (P3(f2(a5),a3,a3)),
% 3.10/3.21 inference(scs_inference,[],[15,51,39,54,11,25])).
% 3.10/3.21 cnf(83,plain,
% 3.10/3.21 (P1(f2(x831))),
% 3.10/3.21 inference(rename_variables,[],[15])).
% 3.10/3.21 cnf(85,plain,
% 3.10/3.21 (P3(f2(a9),a6,a6)),
% 3.10/3.21 inference(scs_inference,[],[20,15,22,51,39,54,11,25,36])).
% 3.10/3.21 cnf(86,plain,
% 3.10/3.21 (P3(f2(x861),x861,x861)),
% 3.10/3.21 inference(rename_variables,[],[22])).
% 3.10/3.21 cnf(88,plain,
% 3.10/3.21 (~P3(f2(a9),a9,a8)),
% 3.10/3.21 inference(scs_inference,[],[20,15,21,22,86,51,39,54,11,25,36,35])).
% 3.10/3.21 cnf(89,plain,
% 3.10/3.21 (P3(x891,f1(x891),x891)),
% 3.10/3.21 inference(rename_variables,[],[21])).
% 3.10/3.21 cnf(90,plain,
% 3.10/3.21 (P3(f2(x901),x901,x901)),
% 3.10/3.21 inference(rename_variables,[],[22])).
% 3.10/3.21 cnf(92,plain,
% 3.10/3.21 (P2(f2(x921),f7(x921,f1(x921)))),
% 3.10/3.21 inference(scs_inference,[],[20,15,21,22,86,90,16,51,81,39,54,11,25,36,35,34])).
% 3.10/3.21 cnf(94,plain,
% 3.10/3.21 (P2(x941,f1(x941))),
% 3.10/3.21 inference(rename_variables,[],[16])).
% 3.10/3.21 cnf(96,plain,
% 3.10/3.21 (P2(f2(f2(a5)),a3)),
% 3.10/3.21 inference(scs_inference,[],[20,15,83,21,22,86,90,16,17,51,81,39,54,11,25,36,35,34,24])).
% 3.10/3.21 cnf(97,plain,
% 3.10/3.21 (P2(f2(x971),x971)),
% 3.10/3.21 inference(rename_variables,[],[17])).
% 3.10/3.21 cnf(100,plain,
% 3.10/3.21 (~P3(a8,f1(a8),a9)),
% 3.10/3.21 inference(scs_inference,[],[23,20,15,83,21,89,22,86,90,16,17,51,81,39,54,11,25,36,35,34,24,32])).
% 3.10/3.21 cnf(103,plain,
% 3.10/3.21 (P2(a3,f1(a6))),
% 3.10/3.21 inference(scs_inference,[],[23,20,15,83,21,89,22,86,90,16,94,17,51,81,39,54,11,25,36,35,34,24,32,10,30])).
% 3.10/3.21 cnf(106,plain,
% 3.10/3.21 (P2(f2(a6),a9)),
% 3.10/3.21 inference(scs_inference,[],[23,20,15,83,21,89,22,86,90,16,94,17,97,51,81,39,54,11,25,36,35,34,24,32,10,30,29])).
% 3.10/3.21 cnf(113,plain,
% 3.10/3.21 (E(x1131,f7(x1131,f1(x1131)))),
% 3.10/3.21 inference(scs_inference,[],[21,51,32])).
% 3.10/3.21 cnf(116,plain,
% 3.10/3.21 (P2(a4,f1(f1(a5)))),
% 3.10/3.21 inference(scs_inference,[],[37,21,79,51,32,33])).
% 3.10/3.21 cnf(117,plain,
% 3.10/3.21 (P3(x1171,f1(x1171),x1171)),
% 3.10/3.21 inference(rename_variables,[],[21])).
% 3.10/3.21 cnf(119,plain,
% 3.10/3.21 (P2(a5,f1(f1(a4)))),
% 3.10/3.21 inference(scs_inference,[],[14,37,21,16,79,76,51,32,33,24])).
% 3.10/3.21 cnf(123,plain,
% 3.10/3.21 (~P3(x1231,f1(a8),a9)+~E(x1231,a8)),
% 3.10/3.21 inference(scs_inference,[],[14,37,21,16,100,79,76,51,32,33,24,9])).
% 3.10/3.21 cnf(124,plain,
% 3.10/3.21 (P3(f2(a3),a5,a5)),
% 3.10/3.21 inference(scs_inference,[],[14,37,21,22,16,18,100,79,76,51,32,33,24,9,36])).
% 3.10/3.21 cnf(127,plain,
% 3.10/3.21 (P3(a6,f1(a3),a6)),
% 3.10/3.21 inference(scs_inference,[],[14,37,19,21,117,22,16,18,100,79,76,51,32,33,24,9,36,35])).
% 3.10/3.21 cnf(131,plain,
% 3.10/3.21 (P2(f2(a3),f7(a5,f1(a5)))),
% 3.10/3.21 inference(scs_inference,[],[113,75,13])).
% 3.10/3.21 cnf(132,plain,
% 3.10/3.21 (E(x1321,f7(x1321,f1(x1321)))),
% 3.10/3.21 inference(rename_variables,[],[113])).
% 3.10/3.21 cnf(133,plain,
% 3.10/3.21 (P2(f7(a4,f1(a4)),f1(a5))),
% 3.10/3.21 inference(scs_inference,[],[37,113,132,75,13,12])).
% 3.10/3.21 cnf(134,plain,
% 3.10/3.21 (E(x1341,f7(x1341,f1(x1341)))),
% 3.10/3.21 inference(rename_variables,[],[113])).
% 3.10/3.21 cnf(135,plain,
% 3.10/3.21 (E(f7(x1351,f1(x1351)),x1351)),
% 3.10/3.21 inference(scs_inference,[],[37,113,132,134,75,13,12,2])).
% 3.10/3.21 cnf(136,plain,
% 3.10/3.21 (P3(f7(a8,f1(a8)),a3,a6)),
% 3.10/3.21 inference(scs_inference,[],[37,19,113,132,134,75,13,12,2,9])).
% 3.10/3.21 cnf(137,plain,
% 3.10/3.21 (E(x1371,f7(x1371,f1(x1371)))),
% 3.10/3.21 inference(rename_variables,[],[113])).
% 3.10/3.21 cnf(138,plain,
% 3.10/3.21 (P3(a8,f7(a3,f1(a3)),a6)),
% 3.10/3.21 inference(scs_inference,[],[37,19,113,132,134,137,75,13,12,2,9,10])).
% 3.10/3.21 cnf(139,plain,
% 3.10/3.21 (E(x1391,f7(x1391,f1(x1391)))),
% 3.10/3.21 inference(rename_variables,[],[113])).
% 3.10/3.21 cnf(140,plain,
% 3.10/3.21 (P2(f2(f2(a3)),a5)),
% 3.10/3.21 inference(scs_inference,[],[37,19,22,113,132,134,137,75,124,13,12,2,9,10,34])).
% 3.10/3.21 cnf(141,plain,
% 3.10/3.21 (P3(f2(x1411),x1411,x1411)),
% 3.10/3.21 inference(rename_variables,[],[22])).
% 3.10/3.21 cnf(143,plain,
% 3.10/3.21 (P3(a8,a3,f7(a6,f1(a6)))),
% 3.10/3.21 inference(scs_inference,[],[37,19,22,113,132,134,137,139,75,124,13,12,2,9,10,34,11])).
% 3.10/3.21 cnf(144,plain,
% 3.10/3.21 (E(x1441,f7(x1441,f1(x1441)))),
% 3.10/3.21 inference(rename_variables,[],[113])).
% 3.10/3.21 cnf(145,plain,
% 3.10/3.21 (~P3(f2(a8),a8,a9)),
% 3.10/3.21 inference(scs_inference,[],[37,19,22,141,21,113,132,134,137,139,75,124,100,13,12,2,9,10,34,11,35])).
% 3.10/3.21 cnf(146,plain,
% 3.10/3.21 (P3(f2(x1461),x1461,x1461)),
% 3.10/3.21 inference(rename_variables,[],[22])).
% 3.10/3.21 cnf(149,plain,
% 3.10/3.21 (~E(f7(a8,f1(a8)),a9)),
% 3.10/3.21 inference(scs_inference,[],[37,19,22,141,21,113,132,134,137,139,144,48,75,124,100,13,12,2,9,10,34,11,35,3])).
% 3.10/3.21 cnf(152,plain,
% 3.10/3.21 (~P3(f2(a8),a8,f7(a9,f1(a9)))),
% 3.10/3.21 inference(scs_inference,[],[37,19,22,141,146,21,113,132,134,137,139,144,48,80,75,124,100,13,12,2,9,10,34,11,35,3,8,32])).
% 3.10/3.21 cnf(159,plain,
% 3.10/3.21 (~E(a9,f7(a8,f1(a8)))),
% 3.10/3.21 inference(scs_inference,[],[149,2])).
% 3.10/3.21 cnf(160,plain,
% 3.10/3.21 (P3(f7(a9,f1(a9)),a3,a6)),
% 3.10/3.21 inference(scs_inference,[],[20,149,113,2,9])).
% 3.10/3.21 cnf(163,plain,
% 3.10/3.21 (P3(f2(x1631),x1631,x1631)),
% 3.10/3.21 inference(rename_variables,[],[22])).
% 3.10/3.21 cnf(165,plain,
% 3.10/3.21 (~P3(f2(a8),f7(a8,f1(a8)),a9)),
% 3.10/3.21 inference(scs_inference,[],[22,20,135,42,145,149,113,2,9,36,10])).
% 3.10/3.21 cnf(167,plain,
% 3.10/3.21 (P3(a6,f1(f1(a3)),a6)),
% 3.10/3.21 inference(scs_inference,[],[22,21,20,135,42,127,145,149,113,2,9,36,10,35])).
% 3.10/3.21 cnf(172,plain,
% 3.10/3.21 (P3(a4,f1(a5),f7(a4,f1(a5)))),
% 3.10/3.21 inference(scs_inference,[],[37,22,163,21,20,135,42,127,145,149,152,113,2,9,36,10,35,11,28])).
% 3.10/3.21 cnf(174,plain,
% 3.10/3.21 (P2(a8,a3)),
% 3.10/3.21 inference(scs_inference,[],[37,22,163,21,19,20,135,42,127,145,149,152,113,2,9,36,10,35,11,28,27])).
% 3.10/3.21 cnf(177,plain,
% 3.10/3.21 (E(x1771,f7(x1771,f1(x1771)))),
% 3.10/3.21 inference(rename_variables,[],[113])).
% 3.10/3.21 cnf(178,plain,
% 3.10/3.21 (P2(f2(a5),f2(a3))),
% 3.10/3.21 inference(scs_inference,[],[39,22,113,13,29])).
% 3.10/3.21 cnf(181,plain,
% 3.10/3.21 (P3(a3,f7(a4,f1(a5)),a5)),
% 3.10/3.21 inference(scs_inference,[],[39,22,21,18,172,113,13,29,36])).
% 3.10/3.21 cnf(185,plain,
% 3.10/3.21 (E(f7(x1851,f1(x1851)),x1851)),
% 3.10/3.21 inference(rename_variables,[],[135])).
% 3.10/3.21 cnf(188,plain,
% 3.10/3.21 (P3(a9,a3,f7(a6,f1(a6)))),
% 3.10/3.21 inference(scs_inference,[],[39,22,21,20,18,172,135,185,88,113,177,54,13,29,36,10,9,11])).
% 3.10/3.21 cnf(200,plain,
% 3.10/3.21 (P2(a6,f1(f1(a3)))),
% 3.10/3.21 inference(scs_inference,[],[17,22,167,33])).
% 3.10/3.21 cnf(201,plain,
% 3.10/3.21 (P2(f2(x2011),x2011)),
% 3.10/3.21 inference(rename_variables,[],[17])).
% 3.10/3.21 cnf(202,plain,
% 3.10/3.21 (P3(f2(x2021),x2021,x2021)),
% 3.10/3.21 inference(rename_variables,[],[22])).
% 3.10/3.21 cnf(204,plain,
% 3.10/3.21 (P3(f2(f2(a9)),a6,a6)),
% 3.10/3.21 inference(scs_inference,[],[17,22,202,85,167,33,36])).
% 3.10/3.21 cnf(205,plain,
% 3.10/3.21 (P3(f2(x2051),x2051,x2051)),
% 3.10/3.21 inference(rename_variables,[],[22])).
% 3.10/3.21 cnf(207,plain,
% 3.10/3.21 (P3(f2(a8),f7(a6,f1(a6)),a6)),
% 3.10/3.21 inference(scs_inference,[],[42,17,22,202,85,167,113,33,36,10])).
% 3.10/3.21 cnf(208,plain,
% 3.10/3.21 (E(x2081,f7(x2081,f1(x2081)))),
% 3.10/3.21 inference(rename_variables,[],[113])).
% 3.10/3.21 cnf(209,plain,
% 3.10/3.21 (P2(f7(x2091,f1(x2091)),f1(x2091))),
% 3.10/3.21 inference(scs_inference,[],[16,42,17,22,202,85,167,113,208,33,36,10,12])).
% 3.10/3.21 cnf(210,plain,
% 3.10/3.21 (E(x2101,f7(x2101,f1(x2101)))),
% 3.10/3.21 inference(rename_variables,[],[113])).
% 3.10/3.21 cnf(211,plain,
% 3.10/3.21 (P2(f2(a6),f2(a8))),
% 3.10/3.21 inference(scs_inference,[],[16,42,17,201,22,202,85,167,113,208,33,36,10,12,29])).
% 3.10/3.21 cnf(212,plain,
% 3.10/3.21 (P2(f2(x2121),x2121)),
% 3.10/3.21 inference(rename_variables,[],[17])).
% 3.10/3.21 cnf(217,plain,
% 3.10/3.21 (P3(f7(a3,f1(a3)),a4,a5)),
% 3.10/3.21 inference(scs_inference,[],[16,42,17,201,22,202,205,18,85,165,167,113,208,210,33,36,10,12,29,35,9])).
% 3.10/3.21 cnf(224,plain,
% 3.10/3.21 (P2(f2(a8),a6)),
% 3.10/3.21 inference(scs_inference,[],[16,42,17,201,212,37,22,202,205,21,18,85,165,167,135,100,113,208,210,33,36,10,12,29,35,9,11,24,34])).
% 3.10/3.21 cnf(229,plain,
% 3.10/3.21 (P2(x2291,f1(x2291))),
% 3.10/3.21 inference(rename_variables,[],[16])).
% 3.10/3.21 cnf(231,plain,
% 3.10/3.21 (P2(f2(a6),f1(f2(a8)))),
% 3.10/3.21 inference(scs_inference,[],[16,229,18,211,172,15,34,24])).
% 3.10/3.21 cnf(235,plain,
% 3.10/3.21 (P3(f2(a8),a6,f7(a6,f1(a6)))),
% 3.10/3.21 inference(scs_inference,[],[16,229,42,18,211,172,15,113,34,24,11])).
% 3.10/3.21 cnf(238,plain,
% 3.10/3.21 (P2(a6,f1(a3))),
% 3.10/3.21 inference(scs_inference,[],[16,229,42,19,21,18,211,174,172,15,135,113,34,24,11,8,33])).
% 3.10/3.21 cnf(255,plain,
% 3.10/3.21 (P2(f1(a4),f1(a4))),
% 3.10/3.21 inference(scs_inference,[],[45,76,30])).
% 3.10/3.21 cnf(256,plain,
% 3.10/3.21 (~P2(x2561,x2562)+P2(x2563,x2562)+~P3(x2564,x2563,x2561)),
% 3.10/3.21 inference(rename_variables,[],[30])).
% 3.10/3.21 cnf(257,plain,
% 3.10/3.21 (P2(f7(a6,f1(a6)),f1(a3))),
% 3.10/3.21 inference(scs_inference,[],[45,21,143,76,174,30,33])).
% 3.10/3.21 cnf(258,plain,
% 3.10/3.21 (P3(x2581,f1(x2581),x2581)),
% 3.10/3.21 inference(rename_variables,[],[21])).
% 3.10/3.21 cnf(260,plain,
% 3.10/3.21 (P3(f2(f2(a5)),a3,a3)),
% 3.10/3.21 inference(scs_inference,[],[45,22,21,143,82,76,174,30,33,36])).
% 3.10/3.21 cnf(261,plain,
% 3.10/3.21 (P3(f2(x2611),x2611,x2611)),
% 3.10/3.21 inference(rename_variables,[],[22])).
% 3.10/3.21 cnf(264,plain,
% 3.10/3.21 (P3(x2641,f1(x2641),x2641)),
% 3.10/3.21 inference(rename_variables,[],[21])).
% 3.10/3.21 cnf(266,plain,
% 3.10/3.21 (P3(a5,f1(a4),f7(a5,f1(a5)))),
% 3.10/3.21 inference(scs_inference,[],[45,22,21,258,143,82,76,174,113,30,33,36,35,11])).
% 3.10/3.21 cnf(267,plain,
% 3.10/3.21 (E(x2671,f7(x2671,f1(x2671)))),
% 3.10/3.21 inference(rename_variables,[],[113])).
% 3.10/3.21 cnf(268,plain,
% 3.10/3.21 (P3(f2(x2681),x2681,f7(f2(x2681),x2681))),
% 3.10/3.21 inference(scs_inference,[],[17,45,22,21,258,143,82,76,174,113,30,33,36,35,11,28])).
% 3.10/3.21 cnf(270,plain,
% 3.10/3.21 (P2(a9,a3)),
% 3.10/3.21 inference(scs_inference,[],[17,45,20,22,21,258,143,82,76,174,113,30,33,36,35,11,28,27])).
% 3.10/3.21 cnf(272,plain,
% 3.10/3.21 (E(f7(f2(x2721),x2721),x2721)),
% 3.10/3.21 inference(scs_inference,[],[17,45,20,22,261,21,258,143,82,76,174,113,30,33,36,35,11,28,27,32])).
% 3.10/3.21 cnf(275,plain,
% 3.10/3.21 (P2(f1(f2(a8)),a8)),
% 3.10/3.21 inference(scs_inference,[],[17,45,20,22,261,21,258,264,143,82,76,174,113,30,33,36,35,11,28,27,32,123,256])).
% 3.10/3.21 cnf(276,plain,
% 3.10/3.21 (P2(f2(x2761),x2761)),
% 3.10/3.22 inference(rename_variables,[],[17])).
% 3.10/3.22 cnf(277,plain,
% 3.10/3.22 (P3(x2771,f1(x2771),x2771)),
% 3.10/3.22 inference(rename_variables,[],[21])).
% 3.10/3.22 cnf(285,plain,
% 3.10/3.22 (P3(f2(a8),f7(f2(a8),a8),a8)),
% 3.10/3.22 inference(scs_inference,[],[17,276,45,20,22,261,21,258,264,277,143,82,49,76,174,113,267,30,33,36,35,11,28,27,32,123,256,13,34,2,10])).
% 3.10/3.22 cnf(287,plain,
% 3.10/3.22 (P2(f7(a9,f1(a9)),a3)),
% 3.10/3.22 inference(scs_inference,[],[270,113,12])).
% 3.10/3.22 cnf(289,plain,
% 3.10/3.22 (P3(f1(a4),f1(a4),f1(a4))),
% 3.10/3.22 inference(scs_inference,[],[255,270,14,113,12,25])).
% 3.10/3.22 cnf(292,plain,
% 3.10/3.22 (E(x2921,f7(f2(x2921),x2921))),
% 3.10/3.22 inference(scs_inference,[],[22,268,255,270,14,113,12,25,32])).
% 3.10/3.22 cnf(295,plain,
% 3.10/3.22 (P3(f2(f2(a5)),a5,a5)),
% 3.10/3.22 inference(scs_inference,[],[22,18,268,255,260,270,14,113,12,25,32,36])).
% 3.10/3.22 cnf(297,plain,
% 3.10/3.22 (~P3(f2(a8),f7(f2(a8),a8),a9)),
% 3.10/3.22 inference(scs_inference,[],[22,18,268,272,255,260,270,145,14,113,12,25,32,36,10])).
% 3.10/3.22 cnf(298,plain,
% 3.10/3.22 (E(f7(f2(x2981),x2981),x2981)),
% 3.10/3.22 inference(rename_variables,[],[272])).
% 3.10/3.22 cnf(299,plain,
% 3.10/3.22 (~P3(f2(a8),a8,f7(f2(a9),a9))),
% 3.10/3.22 inference(scs_inference,[],[22,18,268,272,298,255,260,270,145,14,113,12,25,32,36,10,11])).
% 3.10/3.22 cnf(306,plain,
% 3.10/3.22 (P2(f2(a8),f2(a8))),
% 3.10/3.22 inference(scs_inference,[],[42,224,29])).
% 3.10/3.22 cnf(308,plain,
% 3.10/3.22 (P3(f1(f2(a8)),a8,a8)),
% 3.10/3.22 inference(scs_inference,[],[42,275,224,14,29,25])).
% 3.10/3.22 cnf(311,plain,
% 3.10/3.22 (~P3(a9,f1(a9),f7(a8,f1(a8)))),
% 3.10/3.22 inference(scs_inference,[],[42,21,275,224,159,14,29,25,32])).
% 3.10/3.22 cnf(315,plain,
% 3.10/3.22 (E(f7(f2(x3151),x3151),x3151)),
% 3.10/3.22 inference(rename_variables,[],[272])).
% 3.10/3.22 cnf(317,plain,
% 3.10/3.22 (P3(f2(x3171),x3171,x3171)),
% 3.10/3.22 inference(rename_variables,[],[22])).
% 3.10/3.22 cnf(322,plain,
% 3.10/3.22 (P3(a3,f7(f2(a4),a4),a5)),
% 3.10/3.22 inference(scs_inference,[],[18,42,21,22,317,292,285,297,275,224,272,124,159,54,14,29,25,32,9,36,35,10])).
% 3.10/3.22 cnf(323,plain,
% 3.10/3.22 (E(x3231,f7(f2(x3231),x3231))),
% 3.10/3.22 inference(rename_variables,[],[292])).
% 3.10/3.22 cnf(324,plain,
% 3.10/3.22 (P3(a3,a4,f7(f2(a5),a5))),
% 3.10/3.22 inference(scs_inference,[],[18,42,21,22,317,292,323,285,297,275,224,272,124,159,54,14,29,25,32,9,36,35,10,11])).
% 3.10/3.22 cnf(326,plain,
% 3.10/3.22 (P3(f2(a5),f2(a3),f2(a5))),
% 3.10/3.22 inference(scs_inference,[],[18,42,21,22,317,292,323,285,297,275,224,178,272,124,159,15,54,14,29,25,32,9,36,35,10,11,26])).
% 3.10/3.22 cnf(329,plain,
% 3.10/3.22 (~E(a8,f7(f2(a9),a9))),
% 3.10/3.22 inference(scs_inference,[],[18,48,42,21,22,317,292,323,285,297,275,224,178,272,315,124,159,15,54,14,29,25,32,9,36,35,10,11,26,3])).
% 3.10/3.22 cnf(332,plain,
% 3.10/3.22 (~E(f7(f2(a8),a8),a9)),
% 3.10/3.22 inference(scs_inference,[],[48,292,3])).
% 3.10/3.22 cnf(333,plain,
% 3.10/3.22 (E(x3331,f7(f2(x3331),x3331))),
% 3.10/3.22 inference(rename_variables,[],[292])).
% 3.10/3.22 cnf(335,plain,
% 3.10/3.22 (P3(x3351,f1(x3351),x3351)),
% 3.10/3.22 inference(rename_variables,[],[21])).
% 3.10/3.22 cnf(338,plain,
% 3.10/3.22 (P3(f7(f2(a3),a3),a4,a5)),
% 3.10/3.22 inference(scs_inference,[],[18,48,21,22,299,292,333,3,36,9])).
% 3.10/3.22 cnf(339,plain,
% 3.10/3.22 (E(x3391,f7(f2(x3391),x3391))),
% 3.10/3.22 inference(rename_variables,[],[292])).
% 3.10/3.22 cnf(340,plain,
% 3.10/3.22 (P3(a5,f1(a4),f7(f2(a5),a5))),
% 3.10/3.22 inference(scs_inference,[],[18,48,45,21,22,299,292,333,339,3,36,9,11])).
% 3.10/3.22 cnf(341,plain,
% 3.10/3.22 (E(x3411,f7(f2(x3411),x3411))),
% 3.10/3.22 inference(rename_variables,[],[292])).
% 3.10/3.22 cnf(342,plain,
% 3.10/3.22 (P2(a4,f1(f1(a4)))),
% 3.10/3.22 inference(scs_inference,[],[18,48,45,21,22,299,119,292,333,339,3,36,9,11,30])).
% 3.10/3.22 cnf(346,plain,
% 3.10/3.22 (P2(f2(f2(a3)),a3)),
% 3.10/3.22 inference(scs_inference,[],[18,48,45,37,21,22,299,119,140,292,333,339,341,3,36,9,11,30,12,29])).
% 3.10/3.22 cnf(351,plain,
% 3.10/3.22 (~P2(a6,a4)+P2(a8,a5)),
% 3.10/3.22 inference(scs_inference,[],[18,48,45,37,19,21,335,22,311,299,119,140,292,333,339,341,3,36,9,11,30,12,29,35,34])).
% 3.10/3.22 cnf(353,plain,
% 3.10/3.22 (P2(f7(f2(a5),a5),f1(a4))),
% 3.10/3.22 inference(scs_inference,[],[49,21,324,33])).
% 3.10/3.22 cnf(354,plain,
% 3.10/3.22 (P3(x3541,f1(x3541),x3541)),
% 3.10/3.22 inference(rename_variables,[],[21])).
% 3.10/3.22 cnf(356,plain,
% 3.10/3.22 (P2(f2(f2(a8)),a6)),
% 3.10/3.22 inference(scs_inference,[],[49,42,21,22,324,224,33,34])).
% 3.10/3.22 cnf(357,plain,
% 3.10/3.22 (P3(f2(x3571),x3571,x3571)),
% 3.10/3.22 inference(rename_variables,[],[22])).
% 3.10/3.22 cnf(359,plain,
% 3.10/3.22 (P3(f2(f2(a8)),a8,a8)),
% 3.10/3.22 inference(scs_inference,[],[49,42,21,22,357,324,285,224,33,34,36])).
% 3.10/3.22 cnf(363,plain,
% 3.10/3.22 (E(x3631,f7(f2(x3631),x3631))),
% 3.10/3.22 inference(rename_variables,[],[292])).
% 3.10/3.22 cnf(368,plain,
% 3.10/3.22 (E(f7(f2(x3681),x3681),x3681)),
% 3.10/3.22 inference(rename_variables,[],[272])).
% 3.10/3.22 cnf(371,plain,
% 3.10/3.22 (P3(a3,a4,f7(a3,a4))),
% 3.10/3.22 inference(scs_inference,[],[19,49,42,21,354,22,357,324,326,285,224,292,272,368,88,33,34,36,9,35,10,11,28])).
% 3.10/3.22 cnf(373,plain,
% 3.10/3.22 (P2(f2(f2(a9)),a6)),
% 3.10/3.22 inference(scs_inference,[],[19,49,42,21,354,22,357,204,324,326,285,224,292,272,368,88,33,34,36,9,35,10,11,28,27])).
% 3.10/3.22 cnf(377,plain,
% 3.10/3.22 (~E(a9,f7(f2(a8),a8))),
% 3.10/3.22 inference(scs_inference,[],[19,49,42,21,354,22,357,204,324,326,332,285,224,292,363,272,368,88,33,34,36,9,35,10,11,28,27,13,2])).
% 3.10/3.22 cnf(378,plain,
% 3.10/3.22 (P3(f2(a6),f1(f2(a8)),f2(a6))),
% 3.10/3.22 inference(scs_inference,[],[231,14,26])).
% 3.10/3.22 cnf(381,plain,
% 3.10/3.22 (P2(f1(a3),a4)),
% 3.10/3.22 inference(scs_inference,[],[49,21,231,14,26,30])).
% 3.10/3.22 cnf(382,plain,
% 3.10/3.22 (P3(x3821,f1(x3821),x3821)),
% 3.10/3.22 inference(rename_variables,[],[21])).
% 3.10/3.22 cnf(386,plain,
% 3.10/3.22 (P3(f1(f2(a8)),a6,a6)),
% 3.10/3.22 inference(scs_inference,[],[19,48,49,21,231,308,14,26,30,32,36])).
% 3.10/3.22 cnf(387,plain,
% 3.10/3.22 (~P3(x3871,x3872,x3873)+~P3(x3873,x3874,x3875)+P3(x3871,x3876,x3875)+~P3(x3872,x3874,x3876)),
% 3.10/3.22 inference(rename_variables,[],[36])).
% 3.10/3.22 cnf(388,plain,
% 3.10/3.22 (P3(f7(a3,a4),f1(a4),f7(a3,a4))),
% 3.10/3.22 inference(scs_inference,[],[19,48,49,21,382,231,308,371,14,26,30,32,36,35])).
% 3.10/3.22 cnf(389,plain,
% 3.10/3.22 (P3(x3891,f1(x3891),x3891)),
% 3.10/3.22 inference(rename_variables,[],[21])).
% 3.10/3.22 cnf(391,plain,
% 3.10/3.22 (P3(a8,f7(f2(a3),a3),a6)),
% 3.10/3.22 inference(scs_inference,[],[19,48,49,21,382,231,308,371,292,14,26,30,32,36,35,10])).
% 3.10/3.22 cnf(392,plain,
% 3.10/3.22 (E(x3921,f7(f2(x3921),x3921))),
% 3.10/3.22 inference(rename_variables,[],[292])).
% 3.10/3.22 cnf(393,plain,
% 3.10/3.22 (P3(a8,a3,f7(f2(a6),a6))),
% 3.10/3.22 inference(scs_inference,[],[19,48,49,21,382,231,308,371,292,392,14,26,30,32,36,35,10,11])).
% 3.10/3.22 cnf(403,plain,
% 3.10/3.22 (P3(x4031,f1(x4031),x4031)),
% 3.10/3.22 inference(rename_variables,[],[21])).
% 3.10/3.22 cnf(405,plain,
% 3.10/3.22 (~P3(a3,f1(a6),x4051)+~P1(f7(f2(a3),a3))+P3(a8,x4051,a6)),
% 3.10/3.22 inference(scs_inference,[],[19,48,49,45,39,21,382,389,403,231,308,371,119,292,392,272,14,26,30,32,36,35,10,11,8,24,25,33,34,387])).
% 3.10/3.22 cnf(412,plain,
% 3.10/3.22 (E(x4121,f7(f2(x4121),x4121))),
% 3.10/3.22 inference(rename_variables,[],[292])).
% 3.10/3.22 cnf(414,plain,
% 3.10/3.22 (P3(x4141,f1(x4141),x4141)),
% 3.10/3.22 inference(rename_variables,[],[21])).
% 3.10/3.22 cnf(416,plain,
% 3.10/3.22 (P3(f2(a3),f7(a3,a4),f7(a3,a4))),
% 3.10/3.22 inference(scs_inference,[],[49,21,22,332,371,292,12,32,36])).
% 3.10/3.22 cnf(419,plain,
% 3.10/3.22 (P3(a9,f7(f2(a3),a3),a6)),
% 3.10/3.22 inference(scs_inference,[],[20,49,21,22,332,371,292,412,12,32,36,10])).
% 3.10/3.22 cnf(420,plain,
% 3.10/3.22 (E(x4201,f7(f2(x4201),x4201))),
% 3.10/3.22 inference(rename_variables,[],[292])).
% 3.10/3.22 cnf(423,plain,
% 3.10/3.22 (~P3(f7(x4231,f1(x4231)),f1(x4231),x4232)+P2(x4232,f1(f1(x4231)))),
% 3.10/3.22 inference(scs_inference,[],[20,49,21,414,22,209,332,371,292,412,420,12,32,36,10,11,33])).
% 3.10/3.22 cnf(440,plain,
% 3.10/3.22 (P2(a6,a4)),
% 3.10/3.22 inference(scs_inference,[],[20,238,356,381,14,29,24])).
% 3.10/3.22 cnf(444,plain,
% 3.10/3.22 (E(x4441,f7(f2(x4441),x4441))),
% 3.10/3.22 inference(rename_variables,[],[292])).
% 3.10/3.22 cnf(445,plain,
% 3.10/3.22 (P3(f7(f2(a9),a9),a3,a6)),
% 3.10/3.22 inference(scs_inference,[],[20,39,238,356,381,292,444,14,29,24,13,9])).
% 3.10/3.22 cnf(447,plain,
% 3.10/3.22 (P3(f2(a8),f2(a8),f2(a8))),
% 3.10/3.22 inference(scs_inference,[],[20,39,238,356,306,381,15,292,444,14,29,24,13,9,26])).
% 3.10/3.22 cnf(459,plain,
% 3.10/3.22 (P2(a8,a5)),
% 3.10/3.22 inference(scs_inference,[],[440,351])).
% 3.10/3.22 cnf(461,plain,
% 3.10/3.22 (P3(f2(f2(a3)),f7(a3,a4),f7(a3,a4))),
% 3.10/3.22 inference(scs_inference,[],[22,416,36])).
% 3.10/3.22 cnf(464,plain,
% 3.10/3.22 (P3(f7(a4,f1(a4)),f1(a4),a4)),
% 3.10/3.22 inference(scs_inference,[],[21,51,22,416,289,36,35])).
% 3.10/3.22 cnf(466,plain,
% 3.10/3.22 (P3(x4661,f1(x4661),x4661)),
% 3.10/3.22 inference(rename_variables,[],[21])).
% 3.10/3.22 cnf(468,plain,
% 3.10/3.22 (P3(f7(f2(a5),a5),f1(a4),a5)),
% 3.10/3.22 inference(scs_inference,[],[21,51,45,22,416,289,292,36,35,9])).
% 3.10/3.22 cnf(469,plain,
% 3.10/3.22 (E(x4691,f7(f2(x4691),x4691))),
% 3.10/3.22 inference(rename_variables,[],[292])).
% 3.10/3.22 cnf(470,plain,
% 3.10/3.22 (P3(x4701,f1(x4701),f7(f2(x4701),x4701))),
% 3.10/3.22 inference(scs_inference,[],[21,466,51,45,22,416,289,292,469,36,35,9,11])).
% 3.10/3.22 cnf(471,plain,
% 3.10/3.22 (E(x4711,f7(f2(x4711),x4711))),
% 3.10/3.22 inference(rename_variables,[],[292])).
% 3.10/3.22 cnf(472,plain,
% 3.10/3.22 (P2(f7(a8,f1(a8)),a3)),
% 3.10/3.22 inference(scs_inference,[],[21,466,51,45,22,136,416,289,292,469,36,35,9,11,27])).
% 3.10/3.22 cnf(474,plain,
% 3.10/3.22 (P2(f1(a4),f1(a5))),
% 3.10/3.22 inference(scs_inference,[],[21,466,51,45,37,22,136,416,289,292,469,36,35,9,11,27,30])).
% 3.10/3.22 cnf(479,plain,
% 3.10/3.22 (P3(f2(a8),f7(f2(a6),a6),a6)),
% 3.10/3.22 inference(scs_inference,[],[21,466,51,42,45,37,22,136,416,373,289,292,469,471,36,35,9,11,27,30,29,10])).
% 3.10/3.22 cnf(481,plain,
% 3.10/3.22 (P3(f2(a5),a3,f7(f2(a5),a3))),
% 3.10/3.22 inference(scs_inference,[],[21,466,51,42,45,37,39,22,136,416,373,289,292,469,471,36,35,9,11,27,30,29,10,28])).
% 3.10/3.22 cnf(492,plain,
% 3.10/3.22 (P3(f2(a8),a6,f7(f2(a6),a6))),
% 3.10/3.22 inference(scs_inference,[],[21,42,353,464,340,268,292,34,35,11])).
% 3.10/3.22 cnf(507,plain,
% 3.10/3.22 (P3(a4,f1(f1(a5)),a4)),
% 3.10/3.22 inference(scs_inference,[],[116,14,26])).
% 3.10/3.22 cnf(510,plain,
% 3.10/3.22 (P2(a8,f7(a5,f1(a5)))),
% 3.10/3.22 inference(scs_inference,[],[459,116,113,14,26,13])).
% 3.10/3.22 cnf(512,plain,
% 3.10/3.22 (P3(a3,f7(a4,f1(a4)),a5)),
% 3.10/3.22 inference(scs_inference,[],[51,468,459,116,324,113,14,26,13,36])).
% 3.10/3.22 cnf(527,plain,
% 3.10/3.22 (P3(f2(x5271),x5271,f7(x5271,f1(x5271)))),
% 3.10/3.22 inference(scs_inference,[],[22,113,11])).
% 3.20/3.22 cnf(541,plain,
% 3.20/3.22 (P2(f1(f1(a5)),f1(a5))),
% 3.20/3.22 inference(scs_inference,[],[37,507,30])).
% 3.20/3.22 cnf(543,plain,
% 3.20/3.22 (P2(f2(f2(a6)),a9)),
% 3.20/3.22 inference(scs_inference,[],[37,507,106,15,17,30,24])).
% 3.20/3.22 cnf(547,plain,
% 3.20/3.22 (P2(f2(a5),f2(f2(a5)))),
% 3.20/3.22 inference(scs_inference,[],[37,39,507,106,260,15,17,30,24,29])).
% 3.20/3.22 cnf(551,plain,
% 3.20/3.22 (P3(f2(f2(a5)),f7(a3,a4),f7(a3,a4))),
% 3.20/3.22 inference(scs_inference,[],[37,39,217,507,106,260,371,15,17,30,24,29,35,36])).
% 3.20/3.22 cnf(553,plain,
% 3.20/3.22 (P3(a6,f1(a3),f7(f2(a6),a6))),
% 3.20/3.22 inference(scs_inference,[],[37,39,217,507,106,260,127,371,15,17,292,30,24,29,35,36,11])).
% 3.20/3.22 cnf(557,plain,
% 3.20/3.22 (P2(f7(a3,f1(a3)),a4)),
% 3.20/3.22 inference(scs_inference,[],[37,76,39,217,507,106,260,127,371,15,17,292,30,24,29,35,36,11,28,27])).
% 3.20/3.22 cnf(562,plain,
% 3.20/3.22 (P2(f7(a6,f1(a6)),a4)),
% 3.20/3.22 inference(scs_inference,[],[547,257,381,15,14,26,24])).
% 3.20/3.22 cnf(563,plain,
% 3.20/3.22 (P1(f1(x5631))),
% 3.20/3.22 inference(rename_variables,[],[14])).
% 3.20/3.22 cnf(565,plain,
% 3.20/3.22 (P3(f7(f2(a6),a6),f1(a3),a6)),
% 3.20/3.22 inference(scs_inference,[],[51,547,257,393,138,381,15,14,26,24,35])).
% 3.20/3.22 cnf(570,plain,
% 3.20/3.22 (P2(f2(a3),f2(f2(a5)))),
% 3.20/3.22 inference(scs_inference,[],[75,51,295,547,257,393,138,381,82,371,15,14,26,24,35,36,29])).
% 3.20/3.22 cnf(574,plain,
% 3.20/3.22 (P3(f1(f1(a5)),f1(a5),f1(a5))),
% 3.20/3.22 inference(scs_inference,[],[75,51,295,541,547,257,393,138,329,381,82,371,15,14,563,26,24,35,36,29,31,25])).
% 3.20/3.22 cnf(586,plain,
% 3.20/3.22 (P3(a3,a4,f7(a5,f1(a5)))),
% 3.20/3.22 inference(scs_inference,[],[79,51,527,133,172,18,34,36])).
% 3.20/3.22 cnf(589,plain,
% 3.20/3.22 (P2(f1(a5),f1(f1(a4)))),
% 3.20/3.22 inference(scs_inference,[],[79,51,342,527,133,172,18,34,36,30])).
% 3.20/3.22 cnf(607,plain,
% 3.20/3.22 (P3(f2(a9),f7(f2(a6),a6),a6)),
% 3.20/3.22 inference(scs_inference,[],[39,79,75,342,85,292,21,33,26,34,10])).
% 3.20/3.22 cnf(616,plain,
% 3.20/3.22 (P2(f7(a5,f1(a5)),f1(a4))),
% 3.20/3.22 inference(scs_inference,[],[76,113,12])).
% 3.20/3.22 cnf(617,plain,
% 3.20/3.22 (E(x6171,f7(x6171,f1(x6171)))),
% 3.20/3.22 inference(rename_variables,[],[113])).
% 3.20/3.22 cnf(618,plain,
% 3.20/3.22 (P3(f2(a3),a5,f7(f2(a3),a5))),
% 3.20/3.22 inference(scs_inference,[],[76,75,113,12,28])).
% 3.20/3.22 cnf(627,plain,
% 3.20/3.22 (P3(a8,a5,x6271)+~P3(a6,a4,x6271)),
% 3.20/3.22 inference(scs_inference,[],[76,75,51,461,510,338,391,440,113,617,12,28,27,33,13,36])).
% 3.20/3.22 cnf(632,plain,
% 3.20/3.22 (P2(f1(f2(a3)),a5)),
% 3.20/3.22 inference(scs_inference,[],[75,21,30])).
% 3.20/3.22 cnf(635,plain,
% 3.20/3.22 (P2(f7(a9,f1(a9)),f2(a5))),
% 3.20/3.22 inference(scs_inference,[],[75,287,82,21,30,29])).
% 3.20/3.22 cnf(637,plain,
% 3.20/3.22 (P3(a4,f1(a5),f7(f2(a4),a4))),
% 3.20/3.22 inference(scs_inference,[],[79,75,287,82,292,21,30,29,11])).
% 3.20/3.22 cnf(638,plain,
% 3.20/3.22 (E(x6381,f7(f2(x6381),x6381))),
% 3.20/3.22 inference(rename_variables,[],[292])).
% 3.20/3.22 cnf(640,plain,
% 3.20/3.22 (E(x6401,f7(f2(x6401),x6401))),
% 3.20/3.22 inference(rename_variables,[],[292])).
% 3.20/3.22 cnf(646,plain,
% 3.20/3.22 (P3(f7(f2(a4),a4),f1(a5),a4)),
% 3.20/3.22 inference(scs_inference,[],[79,75,54,570,287,103,359,82,15,292,638,640,21,30,29,11,12,36,26,9])).
% 3.20/3.22 cnf(652,plain,
% 3.20/3.22 (P2(f2(f2(a3)),f2(a5))),
% 3.20/3.22 inference(scs_inference,[],[82,586,637,346,322,35,29])).
% 3.20/3.22 cnf(661,plain,
% 3.20/3.22 (P2(f2(a8),f7(f2(a6),a6))),
% 3.20/3.22 inference(scs_inference,[],[472,393,527,34])).
% 3.20/3.22 cnf(664,plain,
% 3.20/3.22 (P3(f7(a3,a4),f1(a5),f7(a3,a4))),
% 3.20/3.22 inference(scs_inference,[],[79,472,393,527,371,34,35])).
% 3.20/3.22 cnf(676,plain,
% 3.20/3.22 (P3(f2(a9),a6,f7(f2(a6),a6))),
% 3.20/3.22 inference(scs_inference,[],[553,565,607,36])).
% 3.20/3.22 cnf(678,plain,
% 3.20/3.22 (P3(f7(f2(a6),a6),f1(a6),a6)),
% 3.20/3.22 inference(scs_inference,[],[51,553,565,492,607,207,36,35])).
% 3.20/3.22 cnf(681,plain,
% 3.20/3.22 (P3(f1(a4),f1(a4),f7(f1(a4),f1(a4)))),
% 3.20/3.22 inference(scs_inference,[],[51,553,565,492,607,207,255,36,35,28])).
% 3.20/3.22 cnf(683,plain,
% 3.20/3.22 (P2(f2(a9),a6)),
% 3.20/3.22 inference(scs_inference,[],[85,51,553,565,492,607,207,255,36,35,28,27])).
% 3.20/3.22 cnf(698,plain,
% 3.20/3.22 (P2(f7(f2(a5),a5),f1(a5))),
% 3.20/3.22 inference(scs_inference,[],[353,474,14,24])).
% 3.20/3.22 cnf(709,plain,
% 3.20/3.22 (P2(f1(a5),f1(a4))),
% 3.20/3.22 inference(scs_inference,[],[51,616,30])).
% 3.20/3.22 cnf(712,plain,
% 3.20/3.22 (P2(f2(a8),f2(a9))),
% 3.20/3.22 inference(scs_inference,[],[51,616,661,676,30,29])).
% 3.20/3.22 cnf(714,plain,
% 3.20/3.22 (P2(a9,f2(a5))),
% 3.20/3.22 inference(scs_inference,[],[51,616,635,661,676,135,30,29,12])).
% 3.20/3.22 cnf(716,plain,
% 3.20/3.22 (P3(f2(a5),f7(f2(a3),a3),a3)),
% 3.20/3.22 inference(scs_inference,[],[82,51,616,635,661,676,135,292,30,29,12,10])).
% 3.20/3.22 cnf(717,plain,
% 3.20/3.22 (E(x7171,f7(f2(x7171),x7171))),
% 3.20/3.22 inference(rename_variables,[],[292])).
% 3.20/3.22 cnf(720,plain,
% 3.20/3.22 (P3(f2(a5),a3,f7(f2(a3),a3))),
% 3.20/3.22 inference(scs_inference,[],[82,51,616,635,661,676,235,479,565,135,292,717,30,29,12,10,35,11])).
% 3.20/3.22 cnf(724,plain,
% 3.20/3.22 (P3(f1(a5),f1(f1(a4)),f1(a5))),
% 3.20/3.22 inference(scs_inference,[],[589,14,26])).
% 3.20/3.22 cnf(726,plain,
% 3.20/3.22 (~P2(x7261,x7262)+~P1(x7262)+P3(x7261,x7262,x7261)),
% 3.20/3.22 inference(rename_variables,[],[26])).
% 3.20/3.22 cnf(727,plain,
% 3.20/3.22 (P3(f7(a4,f1(a4)),f1(a5),a4)),
% 3.20/3.22 inference(scs_inference,[],[79,589,14,113,26,9])).
% 3.20/3.22 cnf(728,plain,
% 3.20/3.22 (E(x7281,f7(x7281,f1(x7281)))),
% 3.20/3.22 inference(rename_variables,[],[113])).
% 3.20/3.22 cnf(732,plain,
% 3.20/3.22 (P3(f2(a5),a3,f7(a3,f1(a3)))),
% 3.20/3.22 inference(scs_inference,[],[82,79,589,664,14,113,728,21,26,9,35,11])).
% 3.20/3.22 cnf(736,plain,
% 3.20/3.22 (P2(f2(a9),f2(a9))),
% 3.20/3.22 inference(scs_inference,[],[49,82,85,79,589,664,683,14,113,728,21,26,9,35,11,726,29])).
% 3.20/3.22 cnf(747,plain,
% 3.20/3.22 (P2(f2(a5),f7(a3,a4))),
% 3.20/3.22 inference(scs_inference,[],[557,732,371,34])).
% 3.20/3.22 cnf(750,plain,
% 3.20/3.22 (P3(x7501,f1(x7501),f7(x7501,f1(x7501)))),
% 3.20/3.22 inference(rename_variables,[],[51])).
% 3.20/3.22 cnf(755,plain,
% 3.20/3.22 (P3(f1(a5),f1(a4),f7(f1(a5),f1(a4)))),
% 3.20/3.22 inference(scs_inference,[],[51,750,557,678,709,732,143,607,138,371,34,36,35,28])).
% 3.20/3.22 cnf(757,plain,
% 3.20/3.22 (P2(f1(f2(a8)),a6)),
% 3.20/3.22 inference(scs_inference,[],[51,750,386,557,678,709,732,143,607,138,371,34,36,35,28,27])).
% 3.20/3.22 cnf(759,plain,
% 3.20/3.22 (P2(a3,f1(f1(a3)))),
% 3.20/3.22 inference(scs_inference,[],[51,750,386,557,445,678,709,732,200,143,607,138,371,34,36,35,28,27,30])).
% 3.20/3.22 cnf(761,plain,
% 3.20/3.22 (P3(f1(a5),f1(a4),f1(a4))),
% 3.20/3.22 inference(scs_inference,[],[51,750,386,557,445,678,709,732,200,143,607,138,371,14,34,36,35,28,27,30,25])).
% 3.20/3.22 cnf(764,plain,
% 3.20/3.22 (P2(f7(f2(a3),a5),f1(a4))),
% 3.20/3.22 inference(scs_inference,[],[51,750,386,557,445,266,678,709,732,200,618,131,143,607,138,371,14,34,36,35,28,27,30,25,33])).
% 3.20/3.22 cnf(766,plain,
% 3.20/3.22 (P3(f2(a3),f7(f2(a5),a5),a5)),
% 3.20/3.22 inference(scs_inference,[],[124,292,10])).
% 3.20/3.22 cnf(768,plain,
% 3.20/3.22 (P3(f7(a3,a4),f7(f1(a4),f1(a4)),f7(a3,a4))),
% 3.20/3.22 inference(scs_inference,[],[388,681,124,292,10,36])).
% 3.20/3.22 cnf(776,plain,
% 3.20/3.22 (P3(f2(f2(a6)),a9,a9)),
% 3.20/3.22 inference(scs_inference,[],[543,15,25])).
% 3.20/3.22 cnf(779,plain,
% 3.20/3.22 (P3(a5,f1(a4),f7(f2(a3),a5))),
% 3.20/3.22 inference(scs_inference,[],[543,766,468,618,15,25,35])).
% 3.20/3.22 cnf(786,plain,
% 3.20/3.22 (P2(f1(a5),f1(a5))),
% 3.20/3.22 inference(scs_inference,[],[698,470,30])).
% 3.20/3.22 cnf(791,plain,
% 3.20/3.22 (P3(f1(f1(a5)),f1(a4),f1(a4))),
% 3.20/3.22 inference(scs_inference,[],[574,764,698,761,470,30,29,36])).
% 3.20/3.22 cnf(793,plain,
% 3.20/3.22 (P3(a6,f1(f1(a6)),a6)),
% 3.20/3.22 inference(scs_inference,[],[574,764,698,761,470,678,21,30,29,36,35])).
% 3.20/3.22 cnf(807,plain,
% 3.20/3.22 (~P2(a9,f7(a5,f1(a5)))+~P3(f7(a8,f1(a8)),a5,f7(a9,a5))),
% 3.20/3.22 inference(scs_inference,[],[75,574,764,698,761,776,470,678,149,48,135,15,21,30,29,36,35,31,28,27,24,32,13])).
% 3.20/3.22 cnf(817,plain,
% 3.20/3.22 (P3(f2(a5),f7(a3,a4),f7(f2(a5),f7(a3,a4)))),
% 3.20/3.22 inference(scs_inference,[],[747,28])).
% 3.20/3.22 cnf(819,plain,
% 3.20/3.22 (P2(f7(a3,a4),f7(f1(a4),f1(a4)))),
% 3.20/3.22 inference(scs_inference,[],[768,747,28,27])).
% 3.20/3.22 cnf(821,plain,
% 3.20/3.22 (P2(a9,f7(a5,f1(a5)))),
% 3.20/3.22 inference(scs_inference,[],[768,562,747,586,188,28,27,34])).
% 3.20/3.22 cnf(823,plain,
% 3.20/3.22 (P2(a6,f1(f1(a6)))),
% 3.20/3.22 inference(scs_inference,[],[85,768,562,747,793,586,188,683,28,27,34,33])).
% 3.20/3.22 cnf(825,plain,
% 3.20/3.22 (P3(f2(f2(a6)),a6,a6)),
% 3.20/3.22 inference(scs_inference,[],[85,768,562,747,793,776,586,188,419,683,28,27,34,33,36])).
% 3.20/3.22 cnf(827,plain,
% 3.20/3.22 (P3(f7(f2(a3),a5),f1(a4),a5)),
% 3.20/3.22 inference(scs_inference,[],[85,768,562,747,793,340,766,776,586,188,419,683,618,28,27,34,33,36,35])).
% 3.20/3.22 cnf(831,plain,
% 3.20/3.22 (P2(f1(f2(a8)),f2(a9))),
% 3.20/3.22 inference(scs_inference,[],[75,76,85,768,562,747,757,793,340,766,776,586,188,419,683,618,28,27,34,33,36,35,24,29])).
% 3.20/3.22 cnf(833,plain,
% 3.20/3.22 (~P3(f7(a8,f1(a8)),a5,f7(a9,a5))),
% 3.20/3.22 inference(scs_inference,[],[75,76,85,768,562,747,757,793,340,766,776,586,188,419,683,618,28,27,34,33,36,35,24,29,807])).
% 3.20/3.22 cnf(834,plain,
% 3.20/3.22 (P2(f2(a8),f7(a9,f1(a9)))),
% 3.20/3.22 inference(scs_inference,[],[92,712,15,24])).
% 3.20/3.22 cnf(836,plain,
% 3.20/3.22 (P2(f2(x8361),f7(x8361,f1(x8361)))),
% 3.20/3.22 inference(rename_variables,[],[92])).
% 3.20/3.22 cnf(843,plain,
% 3.20/3.22 (~P3(a8,a5,f7(a9,a5))),
% 3.20/3.22 inference(scs_inference,[],[92,836,833,712,714,481,586,15,292,113,24,12,33,9])).
% 3.20/3.22 cnf(847,plain,
% 3.20/3.22 (~P3(a6,a4,f7(a9,a5))),
% 3.20/3.22 inference(scs_inference,[],[92,836,833,779,712,827,714,481,681,586,15,292,113,24,12,33,9,36,627])).
% 3.20/3.22 cnf(854,plain,
% 3.20/3.22 (P2(a9,a5)),
% 3.20/3.22 inference(scs_inference,[],[92,836,833,724,779,831,712,786,821,827,714,481,681,586,135,15,14,292,113,24,12,33,9,36,627,30,25,13])).
% 3.20/3.22 cnf(860,plain,
% 3.20/3.22 (~P3(f7(a8,f1(a8)),f7(a3,a4),f7(a9,a5))),
% 3.20/3.22 inference(scs_inference,[],[96,92,836,82,833,724,779,831,712,786,821,827,714,481,136,681,586,371,272,135,15,14,292,113,24,12,33,9,36,627,30,25,13,34,10,35])).
% 3.20/3.22 cnf(862,plain,
% 3.20/3.22 (P3(f2(a8),f2(a9),f7(f2(a8),f2(a9)))),
% 3.20/3.22 inference(scs_inference,[],[96,92,836,82,833,724,779,831,712,786,821,827,714,481,136,681,586,371,272,135,15,14,292,113,24,12,33,9,36,627,30,25,13,34,10,35,28])).
% 3.20/3.22 cnf(864,plain,
% 3.20/3.22 (P2(f1(f1(a5)),f1(a4))),
% 3.20/3.22 inference(scs_inference,[],[96,92,836,82,833,724,779,831,791,712,786,821,827,714,481,136,681,586,371,272,135,15,14,292,113,24,12,33,9,36,627,30,25,13,34,10,35,28,27])).
% 3.20/3.22 cnf(866,plain,
% 3.20/3.22 (P3(a3,f1(a6),a3)),
% 3.20/3.22 inference(scs_inference,[],[103,14,26])).
% 3.20/3.22 cnf(885,plain,
% 3.20/3.22 (P3(f2(f2(a3)),f2(a5),f2(a5))),
% 3.20/3.22 inference(scs_inference,[],[652,15,25])).
% 3.20/3.22 cnf(888,plain,
% 3.20/3.22 (P3(a3,f7(f2(a4),a4),f7(a3,a4))),
% 3.20/3.22 inference(scs_inference,[],[652,371,15,292,25,10])).
% 3.20/3.22 cnf(889,plain,
% 3.20/3.22 (E(x8891,f7(f2(x8891),x8891))),
% 3.20/3.22 inference(rename_variables,[],[292])).
% 3.20/3.22 cnf(890,plain,
% 3.20/3.22 (P3(f7(f2(a3),a3),f1(a6),a3)),
% 3.20/3.22 inference(scs_inference,[],[652,866,371,15,292,889,25,10,9])).
% 3.20/3.22 cnf(919,plain,
% 3.20/3.22 (P2(f2(f2(a6)),a6)),
% 3.20/3.22 inference(scs_inference,[],[825,736,15,26,27])).
% 3.20/3.22 cnf(921,plain,
% 3.20/3.22 (P2(f1(f2(a8)),a9)),
% 3.20/3.22 inference(scs_inference,[],[106,825,736,378,15,26,27,30])).
% 3.20/3.22 cnf(923,plain,
% 3.20/3.22 (P2(f2(a6),f2(f2(a6)))),
% 3.20/3.22 inference(scs_inference,[],[106,825,736,378,776,15,26,27,30,29])).
% 3.20/3.23 cnf(925,plain,
% 3.20/3.23 (P2(a4,f7(f1(a5),f1(a4)))),
% 3.20/3.23 inference(scs_inference,[],[79,106,825,736,378,755,776,16,15,26,27,30,29,34])).
% 3.20/3.23 cnf(928,plain,
% 3.20/3.23 (~P3(a6,f7(f2(a4),a4),f7(a9,a5))),
% 3.20/3.23 inference(scs_inference,[],[79,106,825,736,847,378,755,776,16,272,15,26,27,30,29,34,10])).
% 3.20/3.23 cnf(930,plain,
% 3.20/3.23 (~P3(a8,f7(a3,a4),f7(a9,a5))),
% 3.20/3.23 inference(scs_inference,[],[79,106,825,860,736,847,378,755,776,16,272,15,113,26,27,30,29,34,10,9])).
% 3.20/3.23 cnf(931,plain,
% 3.20/3.23 (E(x9311,f7(x9311,f1(x9311)))),
% 3.20/3.23 inference(rename_variables,[],[113])).
% 3.20/3.23 cnf(934,plain,
% 3.20/3.23 (P3(f7(f2(a5),a5),f1(a5),f7(a3,a4))),
% 3.20/3.23 inference(scs_inference,[],[79,106,82,825,860,885,888,736,847,378,637,755,324,776,16,272,15,113,26,27,30,29,34,10,9,36,35])).
% 3.20/3.23 cnf(936,plain,
% 3.20/3.23 (P3(a4,f1(a5),f7(a4,f1(a4)))),
% 3.20/3.23 inference(scs_inference,[],[79,106,82,825,860,885,888,736,847,378,637,755,324,776,16,272,15,113,931,26,27,30,29,34,10,9,36,35,11])).
% 3.20/3.23 cnf(941,plain,
% 3.20/3.23 (P3(a3,f1(f1(a3)),a3)),
% 3.20/3.23 inference(scs_inference,[],[759,14,26])).
% 3.20/3.23 cnf(942,plain,
% 3.20/3.23 (P1(f1(x9421))),
% 3.20/3.23 inference(rename_variables,[],[14])).
% 3.20/3.23 cnf(948,plain,
% 3.20/3.23 (P2(f1(a5),f7(f1(a5),f1(a4)))),
% 3.20/3.23 inference(scs_inference,[],[79,103,925,759,16,14,942,26,24,30])).
% 3.20/3.23 cnf(950,plain,
% 3.20/3.23 (P2(f2(f2(a6)),f2(a9))),
% 3.20/3.23 inference(scs_inference,[],[79,103,85,925,759,919,16,14,942,26,24,30,29])).
% 3.20/3.23 cnf(952,plain,
% 3.20/3.23 (P2(f7(f2(a9),a9),a5)),
% 3.20/3.23 inference(scs_inference,[],[79,103,85,925,759,919,854,16,14,942,292,26,24,30,29,12])).
% 3.20/3.23 cnf(953,plain,
% 3.20/3.23 (E(x9531,f7(f2(x9531),x9531))),
% 3.20/3.23 inference(rename_variables,[],[292])).
% 3.20/3.23 cnf(954,plain,
% 3.20/3.23 (P2(f7(a3,a4),f1(a5))),
% 3.20/3.23 inference(scs_inference,[],[79,103,85,925,759,919,646,888,854,16,49,14,942,292,26,24,30,29,12,33])).
% 3.20/3.23 cnf(958,plain,
% 3.20/3.23 (P3(f2(a5),f7(a5,f1(a5)),a5)),
% 3.20/3.23 inference(scs_inference,[],[79,103,85,925,759,919,646,732,888,847,854,217,586,16,135,49,14,942,292,26,24,30,29,12,33,9,36])).
% 3.20/3.23 cnf(960,plain,
% 3.20/3.23 (P3(a5,f1(a5),f7(a3,a4))),
% 3.20/3.23 inference(scs_inference,[],[79,103,85,925,934,759,919,646,732,888,847,854,416,217,766,586,16,135,49,14,942,292,26,24,30,29,12,33,9,36,35])).
% 3.20/3.23 cnf(962,plain,
% 3.20/3.23 (P3(a3,f1(a6),f7(f2(a3),a3))),
% 3.20/3.23 inference(scs_inference,[],[79,103,85,925,934,759,919,646,732,888,847,854,866,416,217,766,586,16,135,49,14,942,292,953,26,24,30,29,12,33,9,36,35,11])).
% 3.20/3.23 cnf(964,plain,
% 3.20/3.23 (P3(a3,f1(a6),f7(a3,f1(a6)))),
% 3.20/3.23 inference(scs_inference,[],[79,103,85,925,934,759,919,646,732,888,847,854,866,416,217,766,586,16,135,49,14,942,292,953,26,24,30,29,12,33,9,36,35,11,28])).
% 3.20/3.23 cnf(969,plain,
% 3.20/3.23 (E(f7(a3,a4),f7(f2(a5),a5))),
% 3.20/3.23 inference(scs_inference,[],[960,470,32])).
% 3.20/3.23 cnf(974,plain,
% 3.20/3.23 (P3(f7(a5,f1(a5)),f1(a5),f7(a3,a4))),
% 3.20/3.23 inference(scs_inference,[],[113,862,960,447,712,470,32,34,9])).
% 3.20/3.23 cnf(976,plain,
% 3.20/3.23 (P3(a3,f1(f1(a6)),a3)),
% 3.20/3.23 inference(scs_inference,[],[113,862,890,960,447,712,470,21,32,34,9,35])).
% 3.20/3.23 cnf(981,plain,
% 3.20/3.23 (P2(f7(a3,a4),f1(f1(a5)))),
% 3.20/3.23 inference(scs_inference,[],[113,862,890,960,964,447,712,470,21,32,34,9,35,405,423])).
% 3.20/3.23 cnf(988,plain,
% 3.20/3.23 (P2(a3,f2(f1(a6)))),
% 3.20/3.23 inference(scs_inference,[],[103,113,819,923,862,890,960,964,447,712,470,15,22,21,32,34,9,35,405,423,26,30,29])).
% 3.20/3.23 cnf(1012,plain,
% 3.20/3.23 (P3(f2(a5),f7(a3,a4),f7(f2(a5),a5))),
% 3.20/3.23 inference(scs_inference,[],[106,113,981,864,974,958,470,14,24,13,36])).
% 3.20/3.23 cnf(1026,plain,
% 3.20/3.23 (P3(a5,f1(a5),f7(f2(a5),f7(a3,a4)))),
% 3.20/3.23 inference(scs_inference,[],[106,103,113,981,864,834,974,930,958,632,976,817,862,470,527,23,776,272,14,24,13,36,32,29,34,33,9,35])).
% 3.20/3.23 cnf(1028,plain,
% 3.20/3.23 (E(a5,f7(f2(a5),f7(a3,a4)))),
% 3.20/3.23 inference(scs_inference,[],[1026,21,32])).
% 3.20/3.23 cnf(1031,plain,
% 3.20/3.23 (P3(a3,a4,f7(f2(a5),f7(a3,a4)))),
% 3.20/3.23 inference(scs_inference,[],[1026,727,512,21,32,36])).
% 3.20/3.23 cnf(1033,plain,
% 3.20/3.23 (P3(a3,f1(a6),f7(a3,f1(a3)))),
% 3.20/3.23 inference(scs_inference,[],[113,1026,727,512,866,21,32,36,11])).
% 3.20/3.23 cnf(1038,plain,
% 3.20/3.23 (P2(f1(f1(a3)),f1(a6))),
% 3.20/3.23 inference(scs_inference,[],[103,113,1026,921,941,727,512,866,14,21,32,36,11,25,30])).
% 3.20/3.23 cnf(1057,plain,
% 3.20/3.23 (P1(f2(x10571))),
% 3.20/3.23 inference(rename_variables,[],[15])).
% 3.20/3.23 cnf(1061,plain,
% 3.20/3.23 (P3(f2(a6),a9,a9)),
% 3.20/3.23 inference(scs_inference,[],[106,988,551,15,1057,26,27,25])).
% 3.20/3.23 cnf(1066,plain,
% 3.20/3.23 (P3(f2(a5),f7(f2(a5),f7(a3,a4)),a5)),
% 3.20/3.23 inference(scs_inference,[],[82,106,988,1031,720,338,551,15,1057,49,26,27,25,34,36])).
% 3.20/3.23 cnf(1068,plain,
% 3.20/3.23 (P3(f7(f2(a5),f7(a3,a4)),f1(a5),a5)),
% 3.20/3.23 inference(scs_inference,[],[82,106,988,1031,936,720,338,551,512,15,1057,49,26,27,25,34,36,35])).
% 3.20/3.23 cnf(1070,plain,
% 3.20/3.23 (P3(f2(a6),a9,f7(f2(a6),a9))),
% 3.20/3.23 inference(scs_inference,[],[82,106,988,1031,936,720,338,551,512,15,1057,49,26,27,25,34,36,35,28])).
% 3.20/3.23 cnf(1077,plain,
% 3.20/3.23 (E(f7(f2(a5),f7(a3,a4)),a5)),
% 3.20/3.23 inference(scs_inference,[],[1026,21,32])).
% 3.20/3.23 cnf(1085,plain,
% 3.20/3.23 (P3(f2(a5),f7(a3,a4),a5)),
% 3.20/3.23 inference(scs_inference,[],[948,954,934,817,724,1026,14,21,32,24,35,11])).
% 3.20/3.23 cnf(1086,plain,
% 3.20/3.23 (E(f7(f2(a5),a5),f7(a3,a4))),
% 3.20/3.23 inference(scs_inference,[],[948,969,954,934,817,724,1026,14,21,32,24,35,11,2])).
% 3.20/3.23 cnf(1087,plain,
% 3.20/3.23 (P3(f2(a3),f7(a3,a4),a5)),
% 3.20/3.23 inference(scs_inference,[],[948,969,954,934,817,724,1026,766,14,21,32,24,35,11,2,10])).
% 3.20/3.23 cnf(1098,plain,
% 3.20/3.23 (P2(f2(a6),f2(a6))),
% 3.20/3.23 inference(scs_inference,[],[119,106,1085,1061,377,32,30,29])).
% 3.20/3.23 cnf(1101,plain,
% 3.20/3.23 (E(x11011,f7(x11011,f1(x11011)))),
% 3.20/3.23 inference(rename_variables,[],[113])).
% 3.20/3.23 cnf(1102,plain,
% 3.20/3.23 (P3(f2(a6),f7(a9,f1(a9)),a9)),
% 3.20/3.23 inference(scs_inference,[],[119,106,103,113,1101,1085,1061,377,32,30,29,12,10])).
% 3.20/3.23 cnf(1111,plain,
% 3.20/3.23 (P2(f2(a3),f7(a3,a4))),
% 3.20/3.23 inference(scs_inference,[],[119,92,106,103,113,1101,1012,1085,1087,962,716,1061,481,377,847,272,32,30,29,12,10,9,35,33,27])).
% 3.20/3.23 cnf(1118,plain,
% 3.20/3.23 (~P3(f2(a6),f7(a9,f1(a9)),a8)),
% 3.20/3.23 inference(scs_inference,[],[1102,48,32])).
% 3.20/3.23 cnf(1121,plain,
% 3.20/3.23 (P3(f7(a3,f1(a3)),f1(a6),a3)),
% 3.20/3.23 inference(scs_inference,[],[113,1077,1102,843,866,48,32,10,9])).
% 3.20/3.23 cnf(1122,plain,
% 3.20/3.23 (E(x11221,f7(x11221,f1(x11221)))),
% 3.20/3.23 inference(rename_variables,[],[113])).
% 3.20/3.23 cnf(1123,plain,
% 3.20/3.23 (P3(f2(a3),a5,f7(a5,f1(a5)))),
% 3.20/3.23 inference(scs_inference,[],[124,113,1122,1077,1102,843,866,48,32,10,9,11])).
% 3.20/3.23 cnf(1135,plain,
% 3.20/3.23 (P3(f2(a3),f7(a5,f1(a5)),a5)),
% 3.20/3.23 inference(scs_inference,[],[124,113,10])).
% 3.20/3.23 cnf(1141,plain,
% 3.20/3.23 (P3(a5,f1(a4),f7(a3,a4))),
% 3.20/3.23 inference(scs_inference,[],[124,113,1086,1087,326,340,468,527,10,9,35,11])).
% 3.20/3.23 cnf(1142,plain,
% 3.20/3.23 (P3(f2(a3),f7(a3,a4),f7(f2(a3),f7(a3,a4)))),
% 3.20/3.23 inference(scs_inference,[],[124,113,1086,1111,1087,326,340,468,527,10,9,35,11,28])).
% 3.20/3.23 cnf(1144,plain,
% 3.20/3.23 (P2(f1(a6),f1(a6))),
% 3.20/3.23 inference(scs_inference,[],[124,103,113,1121,1086,1111,1087,326,340,468,527,10,9,35,11,28,30])).
% 3.20/3.23 cnf(1158,plain,
% 3.20/3.23 (P3(f2(a6),f2(a6),f2(a6))),
% 3.20/3.23 inference(scs_inference,[],[1098,15,26])).
% 3.20/3.23 cnf(1163,plain,
% 3.20/3.23 (P3(a3,f7(a4,f1(a4)),f7(a3,a4))),
% 3.20/3.23 inference(scs_inference,[],[113,1142,1098,747,326,371,15,26,34,10])).
% 3.20/3.23 cnf(1173,plain,
% 3.20/3.23 (~P3(f2(a6),a9,a8)),
% 3.20/3.23 inference(scs_inference,[],[113,1118,10])).
% 3.20/3.23 cnf(1174,plain,
% 3.20/3.23 (E(x11741,f7(x11741,f1(x11741)))),
% 3.20/3.23 inference(rename_variables,[],[113])).
% 3.20/3.23 cnf(1177,plain,
% 3.20/3.23 (P3(f7(a5,f1(a5)),f1(a4),f7(a3,a4))),
% 3.20/3.23 inference(scs_inference,[],[113,1174,1118,1068,1141,1066,1026,10,36,9])).
% 3.20/3.23 cnf(1179,plain,
% 3.20/3.23 (P3(f7(f2(a5),f7(a3,a4)),f1(a5),f7(a3,a4))),
% 3.20/3.23 inference(scs_inference,[],[113,1174,1163,1118,1068,1141,1066,936,1026,1031,10,36,9,35])).
% 3.20/3.23 cnf(1190,plain,
% 3.20/3.23 (E(f7(a5,f1(a5)),f7(a3,a4))),
% 3.20/3.23 inference(scs_inference,[],[127,823,960,51,30,32])).
% 3.20/3.23 cnf(1193,plain,
% 3.20/3.23 (P2(f2(a3),f2(a3))),
% 3.20/3.23 inference(scs_inference,[],[131,127,823,1123,960,51,30,32,29])).
% 3.20/3.23 cnf(1195,plain,
% 3.20/3.23 (P3(f2(a3),f7(f2(a5),f7(a3,a4)),a5)),
% 3.20/3.23 inference(scs_inference,[],[131,127,124,823,1123,1028,960,51,30,32,29,10])).
% 3.20/3.23 cnf(1196,plain,
% 3.20/3.23 (P3(f2(a3),f7(f2(a3),a5),f7(a3,a4))),
% 3.20/3.23 inference(scs_inference,[],[131,127,124,823,1123,1177,1028,779,960,51,30,32,29,10,36])).
% 3.20/3.23 cnf(1200,plain,
% 3.20/3.23 (P3(f2(a3),a5,f7(f2(a5),f7(a3,a4)))),
% 3.20/3.23 inference(scs_inference,[],[131,127,124,823,1123,1158,1177,1173,1070,1028,779,960,51,30,32,29,10,36,35,11])).
% 3.20/3.23 cnf(1201,plain,
% 3.20/3.23 (E(a5,f7(a3,a4))),
% 3.20/3.23 inference(scs_inference,[],[131,127,124,113,823,1123,1158,1177,1173,1070,1028,779,960,51,30,32,29,10,36,35,11,3])).
% 3.20/3.23 cnf(1203,plain,
% 3.20/3.23 (E(f7(a3,a4),f7(a5,f1(a5)))),
% 3.20/3.23 inference(scs_inference,[],[131,127,124,113,823,1123,1158,1177,1173,1070,1028,779,960,51,30,32,29,10,36,35,11,3,2])).
% 3.20/3.23 cnf(1204,plain,
% 3.20/3.23 (P2(f7(f2(a9),a9),f7(a3,a4))),
% 3.20/3.23 inference(scs_inference,[],[131,127,124,113,823,1123,1158,1177,1173,1070,952,1028,779,960,51,30,32,29,10,36,35,11,3,2,13])).
% 3.20/3.23 cnf(1209,plain,
% 3.20/3.23 (E(f7(x12091,a5),f7(x12091,f7(a3,a4)))),
% 3.20/3.23 inference(scs_inference,[],[1201,7])).
% 3.20/3.23 cnf(1210,plain,
% 3.20/3.23 (E(f7(a5,x12101),f7(f7(a3,a4),x12101))),
% 3.20/3.23 inference(scs_inference,[],[1201,7,6])).
% 3.20/3.23 cnf(1222,plain,
% 3.20/3.23 (~E(f7(f2(a6),a9),a8)),
% 3.20/3.23 inference(scs_inference,[],[113,1204,1179,950,1195,1201,923,1142,1173,1070,272,20,15,7,6,5,4,24,12,10,35,11])).
% 3.20/3.23 cnf(1223,plain,
% 3.20/3.23 (P3(f1(a6),f1(a6),f7(f1(a6),f1(a6)))),
% 3.20/3.23 inference(scs_inference,[],[113,1204,1179,950,1144,1195,1201,923,1142,1173,1070,272,20,15,7,6,5,4,24,12,10,35,11,28])).
% 3.20/3.23 cnf(1237,plain,
% 3.20/3.23 (P3(f2(a3),f2(a3),f2(a3))),
% 3.20/3.23 inference(scs_inference,[],[1209,1193,15,2,26])).
% 3.20/3.23 cnf(1244,plain,
% 3.20/3.23 (E(x12441,f7(x12441,f1(x12441)))),
% 3.20/3.23 inference(rename_variables,[],[113])).
% 3.20/3.23 cnf(1246,plain,
% 3.20/3.23 (P3(f2(a3),f7(a3,a4),f7(a5,f1(a5)))),
% 3.20/3.23 inference(scs_inference,[],[113,1244,1209,1038,1193,1190,930,174,1087,15,14,2,26,25,13,10,11])).
% 3.20/3.23 cnf(1266,plain,
% 3.20/3.23 (E(f7(a5,x12661),f7(f7(a3,a4),x12661))),
% 3.20/3.23 inference(rename_variables,[],[1210])).
% 3.20/3.23 cnf(1269,plain,
% 3.20/3.23 (P3(f7(a3,a4),f1(a5),f7(f2(a5),a5))),
% 3.20/3.23 inference(scs_inference,[],[1237,1210,1223,1200,1222,1135,1033,1163,1121,727,324,75,22,32,34,10,36,35])).
% 3.20/3.23 cnf(1275,plain,
% 3.20/3.23 (P3(f7(a3,f1(a3)),a4,f7(a3,a4))),
% 3.20/3.23 inference(scs_inference,[],[113,1237,1210,1266,1246,1196,1223,1200,1222,1135,1033,1163,1121,727,324,371,75,22,32,34,10,36,35,11,27,9])).
% 3.20/3.23 cnf(1281,plain,
% 3.20/3.23 (~P3(f7(a9,f1(a9)),a5,f7(a9,a5))),
% 3.20/3.23 inference(scs_inference,[],[135,1203,1269,928,322,755,160,468,3,36,35])).
% 3.20/3.23 cnf(1364,plain,
% 3.20/3.23 (E(x13641,f7(x13641,f1(x13641)))),
% 3.20/3.23 inference(rename_variables,[],[113])).
% 3.20/3.23 cnf(1374,plain,
% 3.20/3.23 ($false),
% 3.20/3.23 inference(scs_inference,[],[113,1364,138,136,1281,1275,833,1269,1209,1210,854,440,181,3,2,34,36,9,11,28]),
% 3.20/3.23 ['proof']).
% 3.20/3.23 % SZS output end Proof
% 3.20/3.23 % Total time :2.540000s
%------------------------------------------------------------------------------