TSTP Solution File: SET620+3 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SET620+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n028.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 : Thu Aug 31 14:30:26 EDT 2023
% Result : Theorem 184.18s 184.13s
% Output : CNFRefutation 184.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET620+3 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.17/0.34 % Computer : n028.cluster.edu
% 0.17/0.34 % Model : x86_64 x86_64
% 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34 % Memory : 8042.1875MB
% 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34 % CPULimit : 300
% 0.17/0.34 % WCLimit : 300
% 0.17/0.34 % DateTime : Sat Aug 26 15:53:07 EDT 2023
% 0.17/0.34 % CPUTime :
% 0.21/0.54 start to proof:theBenchmark
% 184.16/184.11 %-------------------------------------------
% 184.16/184.11 % File :CSE---1.6
% 184.16/184.11 % Problem :theBenchmark
% 184.16/184.11 % Transform :cnf
% 184.16/184.11 % Format :tptp:raw
% 184.16/184.11 % Command :java -jar mcs_scs.jar %d %s
% 184.16/184.11
% 184.16/184.11 % Result :Theorem 183.530000s
% 184.16/184.11 % Output :CNFRefutation 183.530000s
% 184.16/184.11 %-------------------------------------------
% 184.18/184.13 %--------------------------------------------------------------------------
% 184.18/184.13 % File : SET620+3 : TPTP v8.1.2. Released v2.2.0.
% 184.18/184.13 % Domain : Set Theory
% 184.18/184.13 % Problem : X sym\ Y = (X U Y) \ X ^ Y
% 184.18/184.13 % Version : [Try90] axioms : Reduced > Incomplete.
% 184.18/184.13 % English : The symmetric difference of X and Y is the difference of (the
% 184.18/184.13 % union of X and Y) and the intersection of X and Y.
% 184.18/184.13
% 184.18/184.13 % Refs : [ILF] The ILF Group (1998), The ILF System: A Tool for the Int
% 184.18/184.13 % : [Try90] Trybulec (1990), Tarski Grothendieck Set Theory
% 184.18/184.13 % : [TS89] Trybulec & Swieczkowska (1989), Boolean Properties of
% 184.18/184.13 % Source : [ILF]
% 184.18/184.13 % Names : BOOLE (96) [TS89]
% 184.18/184.13
% 184.18/184.13 % Status : Theorem
% 184.18/184.13 % Rating : 0.17 v7.5.0, 0.19 v7.4.0, 0.10 v7.3.0, 0.14 v7.1.0, 0.04 v7.0.0, 0.07 v6.4.0, 0.12 v6.3.0, 0.08 v6.2.0, 0.16 v6.1.0, 0.23 v6.0.0, 0.26 v5.5.0, 0.30 v5.4.0, 0.36 v5.3.0, 0.44 v5.2.0, 0.25 v5.1.0, 0.24 v5.0.0, 0.29 v4.1.0, 0.30 v4.0.1, 0.35 v4.0.0, 0.33 v3.7.0, 0.25 v3.5.0, 0.26 v3.4.0, 0.21 v3.3.0, 0.14 v3.2.0, 0.18 v3.1.0, 0.11 v2.7.0, 0.00 v2.2.1
% 184.18/184.13 % Syntax : Number of formulae : 14 ( 8 unt; 0 def)
% 184.18/184.13 % Number of atoms : 26 ( 9 equ)
% 184.18/184.13 % Maximal formula atoms : 3 ( 1 avg)
% 184.18/184.13 % Number of connectives : 13 ( 1 ~; 1 |; 3 &)
% 184.18/184.13 % ( 7 <=>; 1 =>; 0 <=; 0 <~>)
% 184.18/184.13 % Maximal formula depth : 7 ( 4 avg)
% 184.18/184.13 % Maximal term depth : 3 ( 1 avg)
% 184.18/184.13 % Number of predicates : 3 ( 2 usr; 0 prp; 2-2 aty)
% 184.18/184.13 % Number of functors : 4 ( 4 usr; 0 con; 2-2 aty)
% 184.18/184.13 % Number of variables : 33 ( 33 !; 0 ?)
% 184.18/184.13 % SPC : FOF_THM_RFO_SEQ
% 184.18/184.13
% 184.18/184.13 % Comments :
% 184.18/184.13 %--------------------------------------------------------------------------
% 184.18/184.13 %---- line(boole - df(7),1833089)
% 184.18/184.13 fof(symmetric_difference_defn,axiom,
% 184.18/184.13 ! [B,C] : symmetric_difference(B,C) = union(difference(B,C),difference(C,B)) ).
% 184.18/184.13
% 184.18/184.13 %---- line(boole - th(77),1833883)
% 184.18/184.13 fof(difference_into_intersection,axiom,
% 184.18/184.13 ! [B,C] : difference(B,intersection(B,C)) = difference(B,C) ).
% 184.18/184.13
% 184.18/184.13 %---- line(boole - th(89),1834187)
% 184.18/184.13 fof(difference_distributes_over_union,axiom,
% 184.18/184.13 ! [B,C,D] : difference(union(B,C),D) = union(difference(B,D),difference(C,D)) ).
% 184.18/184.13
% 184.18/184.13 %---- line(boole - df(2),1833042)
% 184.18/184.13 fof(union_defn,axiom,
% 184.18/184.13 ! [B,C,D] :
% 184.18/184.13 ( member(D,union(B,C))
% 184.18/184.13 <=> ( member(D,B)
% 184.18/184.13 | member(D,C) ) ) ).
% 184.18/184.13
% 184.18/184.13 %---- line(boole - df(3),1833060)
% 184.18/184.13 fof(intersection_defn,axiom,
% 184.18/184.13 ! [B,C,D] :
% 184.18/184.13 ( member(D,intersection(B,C))
% 184.18/184.13 <=> ( member(D,B)
% 184.18/184.13 & member(D,C) ) ) ).
% 184.18/184.13
% 184.18/184.13 %---- line(boole - df(4),1833078)
% 184.18/184.13 fof(difference_defn,axiom,
% 184.18/184.13 ! [B,C,D] :
% 184.18/184.13 ( member(D,difference(B,C))
% 184.18/184.13 <=> ( member(D,B)
% 184.18/184.13 & ~ member(D,C) ) ) ).
% 184.18/184.13
% 184.18/184.13 %---- line(boole - df(8),1833103)
% 184.18/184.13 fof(equal_defn,axiom,
% 184.18/184.13 ! [B,C] :
% 184.18/184.13 ( B = C
% 184.18/184.13 <=> ( subset(B,C)
% 184.18/184.13 & subset(C,B) ) ) ).
% 184.18/184.13
% 184.18/184.13 %---- property(commutativity,op(union,2,function))
% 184.18/184.13 fof(commutativity_of_union,axiom,
% 184.18/184.13 ! [B,C] : union(B,C) = union(C,B) ).
% 184.18/184.13
% 184.18/184.13 %---- property(commutativity,op(intersection,2,function))
% 184.18/184.13 fof(commutativity_of_intersection,axiom,
% 184.18/184.13 ! [B,C] : intersection(B,C) = intersection(C,B) ).
% 184.18/184.13
% 184.18/184.13 %---- property(commutativity,op(symmetric_difference,2,function))
% 184.18/184.13 fof(commutativity_of_symmetric_difference,axiom,
% 184.18/184.13 ! [B,C] : symmetric_difference(B,C) = symmetric_difference(C,B) ).
% 184.18/184.13
% 184.18/184.13 %---- line(hidden - axiom177,1832615)
% 184.18/184.13 fof(equal_member_defn,axiom,
% 184.18/184.13 ! [B,C] :
% 184.18/184.13 ( B = C
% 184.18/184.13 <=> ! [D] :
% 184.18/184.13 ( member(D,B)
% 184.18/184.13 <=> member(D,C) ) ) ).
% 184.18/184.13
% 184.18/184.13 %---- line(tarski - df(3),1832749)
% 184.18/184.13 fof(subset_defn,axiom,
% 184.18/184.13 ! [B,C] :
% 184.18/184.13 ( subset(B,C)
% 184.18/184.13 <=> ! [D] :
% 184.18/184.13 ( member(D,B)
% 184.18/184.13 => member(D,C) ) ) ).
% 184.18/184.13
% 184.18/184.13 %---- property(reflexivity,op(subset,2,predicate))
% 184.18/184.13 fof(reflexivity_of_subset,axiom,
% 184.18/184.13 ! [B] : subset(B,B) ).
% 184.18/184.13
% 184.18/184.13 %---- line(boole - th(96),1834227)
% 184.18/184.13 fof(prove_th96,conjecture,
% 184.18/184.13 ! [B,C] : symmetric_difference(B,C) = difference(union(B,C),intersection(B,C)) ).
% 184.18/184.13
% 184.18/184.13 %--------------------------------------------------------------------------
% 184.18/184.13 %-------------------------------------------
% 184.18/184.13 % Proof found
% 184.18/184.13 % SZS status Theorem for theBenchmark
% 184.18/184.13 % SZS output start Proof
% 184.18/184.14 %ClaNum:41(EqnAxiom:17)
% 184.18/184.14 %VarNum:115(SingletonVarNum:52)
% 184.18/184.14 %MaxLitNum:3
% 184.18/184.14 %MaxfuncDepth:2
% 184.18/184.14 %SharedTerms:9
% 184.18/184.14 %goalClause: 24
% 184.18/184.14 %singleGoalClaCount:1
% 184.18/184.14 [24]~E(f3(f1(a4,a7),f2(a4,a7)),f1(f3(a4,a7),f3(a7,a4)))
% 184.18/184.14 [18]P1(x181,x181)
% 184.18/184.14 [19]E(f1(x191,x192),f1(x192,x191))
% 184.18/184.14 [20]E(f2(x201,x202),f2(x202,x201))
% 184.18/184.14 [21]E(f3(x211,f2(x211,x212)),f3(x211,x212))
% 184.18/184.14 [22]E(f1(f3(x221,x222),f3(x223,x222)),f3(f1(x221,x223),x222))
% 184.18/184.14 [26]~E(x261,x262)+P1(x261,x262)
% 184.18/184.14 [28]P1(x281,x282)+P2(f5(x281,x282),x281)
% 184.18/184.14 [36]P1(x361,x362)+~P2(f5(x361,x362),x362)
% 184.18/184.14 [30]~P2(x301,x303)+P2(x301,f1(x302,x303))
% 184.18/184.14 [31]~P2(x311,x312)+P2(x311,f1(x312,x313))
% 184.18/184.14 [33]P2(x331,x332)+~P2(x331,f3(x332,x333))
% 184.18/184.14 [34]P2(x341,x342)+~P2(x341,f2(x343,x342))
% 184.18/184.14 [35]P2(x351,x352)+~P2(x351,f2(x352,x353))
% 184.18/184.14 [39]~P2(x391,x392)+~P2(x391,f3(x393,x392))
% 184.18/184.14 [27]~P1(x272,x271)+~P1(x271,x272)+E(x271,x272)
% 184.18/184.14 [37]E(x371,x372)+P2(f6(x371,x372),x372)+P2(f6(x371,x372),x371)
% 184.18/184.14 [41]E(x411,x412)+~P2(f6(x411,x412),x412)+~P2(f6(x411,x412),x411)
% 184.18/184.14 [29]~P1(x293,x292)+P2(x291,x292)+~P2(x291,x293)
% 184.18/184.14 [32]~P2(x321,x323)+P2(x321,x322)+P2(x321,f3(x323,x322))
% 184.18/184.14 [38]~P2(x381,x383)+~P2(x381,x382)+P2(x381,f2(x382,x383))
% 184.18/184.14 [40]P2(x401,x402)+P2(x401,x403)+~P2(x401,f1(x403,x402))
% 184.18/184.14 %EqnAxiom
% 184.18/184.14 [1]E(x11,x11)
% 184.18/184.14 [2]E(x22,x21)+~E(x21,x22)
% 184.18/184.14 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 184.18/184.14 [4]~E(x41,x42)+E(f1(x41,x43),f1(x42,x43))
% 184.18/184.14 [5]~E(x51,x52)+E(f1(x53,x51),f1(x53,x52))
% 184.18/184.14 [6]~E(x61,x62)+E(f6(x61,x63),f6(x62,x63))
% 184.18/184.14 [7]~E(x71,x72)+E(f6(x73,x71),f6(x73,x72))
% 184.18/184.14 [8]~E(x81,x82)+E(f2(x81,x83),f2(x82,x83))
% 184.18/184.14 [9]~E(x91,x92)+E(f2(x93,x91),f2(x93,x92))
% 184.18/184.14 [10]~E(x101,x102)+E(f5(x101,x103),f5(x102,x103))
% 184.18/184.14 [11]~E(x111,x112)+E(f5(x113,x111),f5(x113,x112))
% 184.18/184.14 [12]~E(x121,x122)+E(f3(x121,x123),f3(x122,x123))
% 184.18/184.14 [13]~E(x131,x132)+E(f3(x133,x131),f3(x133,x132))
% 184.18/184.14 [14]P1(x142,x143)+~E(x141,x142)+~P1(x141,x143)
% 184.18/184.14 [15]P1(x153,x152)+~E(x151,x152)+~P1(x153,x151)
% 184.18/184.14 [16]P2(x162,x163)+~E(x161,x162)+~P2(x161,x163)
% 184.18/184.14 [17]P2(x173,x172)+~E(x171,x172)+~P2(x173,x171)
% 184.18/184.14
% 184.18/184.14 %-------------------------------------------
% 184.18/184.16 cnf(42,plain,
% 184.18/184.16 (E(f3(x421,x422),f3(x421,f2(x421,x422)))),
% 184.18/184.16 inference(scs_inference,[],[21,2])).
% 184.18/184.16 cnf(43,plain,
% 184.18/184.16 (P1(f1(x431,x432),f1(x432,x431))),
% 184.18/184.16 inference(scs_inference,[],[18,19,21,2,15])).
% 184.18/184.16 cnf(46,plain,
% 184.18/184.16 (E(f1(x461,x462),f1(x462,x461))),
% 184.18/184.16 inference(rename_variables,[],[19])).
% 184.18/184.16 cnf(47,plain,
% 184.18/184.16 (P1(f2(x471,x472),f2(x472,x471))),
% 184.18/184.16 inference(scs_inference,[],[24,18,19,20,21,2,15,3,26])).
% 184.18/184.16 cnf(50,plain,
% 184.18/184.16 (E(f3(f1(x501,x502),x503),f3(f1(x502,x501),x503))),
% 184.18/184.16 inference(scs_inference,[],[24,18,19,46,20,21,2,15,3,26,13,12])).
% 184.18/184.16 cnf(51,plain,
% 184.18/184.16 (E(f5(x511,f1(x512,x513)),f5(x511,f1(x513,x512)))),
% 184.18/184.16 inference(scs_inference,[],[24,18,19,46,20,21,2,15,3,26,13,12,11])).
% 184.18/184.16 cnf(53,plain,
% 184.18/184.16 (E(f2(x531,f1(x532,x533)),f2(x531,f1(x533,x532)))),
% 184.18/184.16 inference(scs_inference,[],[24,18,19,46,20,21,2,15,3,26,13,12,11,10,9])).
% 184.18/184.16 cnf(54,plain,
% 184.18/184.16 (E(f2(f1(x541,x542),x543),f2(f1(x542,x541),x543))),
% 184.18/184.16 inference(scs_inference,[],[24,18,19,46,20,21,2,15,3,26,13,12,11,10,9,8])).
% 184.18/184.16 cnf(55,plain,
% 184.18/184.16 (E(f6(x551,f1(x552,x553)),f6(x551,f1(x553,x552)))),
% 184.18/184.16 inference(scs_inference,[],[24,18,19,46,20,21,2,15,3,26,13,12,11,10,9,8,7])).
% 184.18/184.16 cnf(56,plain,
% 184.18/184.16 (E(f6(f1(x561,x562),x563),f6(f1(x562,x561),x563))),
% 184.18/184.16 inference(scs_inference,[],[24,18,19,46,20,21,2,15,3,26,13,12,11,10,9,8,7,6])).
% 184.18/184.16 cnf(57,plain,
% 184.18/184.16 (E(f1(x571,f1(x572,x573)),f1(x571,f1(x573,x572)))),
% 184.18/184.16 inference(scs_inference,[],[24,18,19,46,20,21,2,15,3,26,13,12,11,10,9,8,7,6,5])).
% 184.18/184.16 cnf(58,plain,
% 184.18/184.16 (E(f1(f1(x581,x582),x583),f1(f1(x582,x581),x583))),
% 184.18/184.16 inference(scs_inference,[],[24,18,19,46,20,21,2,15,3,26,13,12,11,10,9,8,7,6,5,4])).
% 184.18/184.16 cnf(73,plain,
% 184.18/184.16 (~E(f1(f3(a4,a7),f3(a7,a4)),f3(f1(a4,a7),f2(a4,a7)))),
% 184.18/184.16 inference(scs_inference,[],[24,2])).
% 184.18/184.16 cnf(85,plain,
% 184.18/184.16 (P1(f3(x851,x852),f3(x851,f2(x851,x852)))),
% 184.18/184.16 inference(scs_inference,[],[42,26])).
% 184.18/184.16 cnf(87,plain,
% 184.18/184.16 (E(f3(f1(x871,x872),x873),f1(f3(x871,x873),f3(x872,x873)))),
% 184.18/184.16 inference(scs_inference,[],[42,22,26,2])).
% 184.18/184.16 cnf(88,plain,
% 184.18/184.16 (E(f3(f1(x881,x882),x883),f1(f3(x882,x883),f3(x881,x883)))),
% 184.18/184.16 inference(scs_inference,[],[42,19,22,26,2,3])).
% 184.18/184.16 cnf(92,plain,
% 184.18/184.16 (~E(f1(f3(a4,a7),f3(a7,a4)),f3(f1(a7,a4),f2(a4,a7)))),
% 184.18/184.16 inference(scs_inference,[],[50,73,3])).
% 184.18/184.16 cnf(95,plain,
% 184.18/184.16 (E(f1(f3(x951,x952),f3(x953,x952)),f3(f1(x953,x951),x952))),
% 184.18/184.16 inference(scs_inference,[],[88,2])).
% 184.18/184.16 cnf(96,plain,
% 184.18/184.16 (~E(f1(f3(a7,a4),f3(a4,a7)),f3(f1(a7,a4),f2(a4,a7)))),
% 184.18/184.16 inference(scs_inference,[],[19,88,92,2,3])).
% 184.18/184.16 cnf(98,plain,
% 184.18/184.16 (E(f3(x981,f2(x982,x983)),f3(x981,f2(x983,x982)))),
% 184.18/184.16 inference(scs_inference,[],[19,20,88,92,2,3,13])).
% 184.18/184.16 cnf(99,plain,
% 184.18/184.16 (E(f6(x991,f2(x992,x993)),f6(x991,f2(x993,x992)))),
% 184.18/184.16 inference(scs_inference,[],[19,20,88,92,2,3,13,7])).
% 184.18/184.16 cnf(100,plain,
% 184.18/184.16 (E(f6(f2(x1001,x1002),x1003),f6(f2(x1002,x1001),x1003))),
% 184.18/184.16 inference(scs_inference,[],[19,20,88,92,2,3,13,7,6])).
% 184.18/184.16 cnf(101,plain,
% 184.18/184.16 (E(f3(f2(x1011,x1012),x1013),f3(f2(x1012,x1011),x1013))),
% 184.18/184.16 inference(scs_inference,[],[19,20,88,92,2,3,13,7,6,12])).
% 184.18/184.16 cnf(103,plain,
% 184.18/184.16 (E(f5(f2(x1031,x1032),x1033),f5(f2(x1032,x1031),x1033))),
% 184.18/184.16 inference(scs_inference,[],[19,20,88,92,2,3,13,7,6,12,11,10])).
% 184.18/184.16 cnf(104,plain,
% 184.18/184.16 (E(f2(x1041,f2(x1042,x1043)),f2(x1041,f2(x1043,x1042)))),
% 184.18/184.16 inference(scs_inference,[],[19,20,88,92,2,3,13,7,6,12,11,10,9])).
% 184.18/184.16 cnf(105,plain,
% 184.18/184.16 (E(f2(f2(x1051,x1052),x1053),f2(f2(x1052,x1051),x1053))),
% 184.18/184.16 inference(scs_inference,[],[19,20,88,92,2,3,13,7,6,12,11,10,9,8])).
% 184.18/184.16 cnf(106,plain,
% 184.18/184.16 (E(f1(x1061,f2(x1062,x1063)),f1(x1061,f2(x1063,x1062)))),
% 184.18/184.16 inference(scs_inference,[],[19,20,88,92,2,3,13,7,6,12,11,10,9,8,5])).
% 184.18/184.16 cnf(107,plain,
% 184.18/184.16 (E(f1(f2(x1071,x1072),x1073),f1(f2(x1072,x1071),x1073))),
% 184.18/184.16 inference(scs_inference,[],[19,20,88,92,2,3,13,7,6,12,11,10,9,8,5,4])).
% 184.18/184.16 cnf(108,plain,
% 184.18/184.16 (P1(f3(x1081,x1082),f3(x1081,f2(x1081,f2(x1081,x1082))))),
% 184.18/184.16 inference(scs_inference,[],[42,85,15])).
% 184.18/184.16 cnf(114,plain,
% 184.18/184.16 (P1(f3(f1(x1141,x1142),x1143),f1(f3(x1142,x1143),f3(x1141,x1143)))),
% 184.18/184.16 inference(scs_inference,[],[43,42,22,96,85,15,2,27,14])).
% 184.18/184.16 cnf(118,plain,
% 184.18/184.16 (P1(f3(x1181,f2(x1181,x1182)),f3(x1181,x1182))),
% 184.18/184.16 inference(scs_inference,[],[21,26])).
% 184.18/184.16 cnf(122,plain,
% 184.18/184.16 (E(f3(x1221,x1222),f3(x1221,f2(x1221,f2(x1221,x1222))))),
% 184.18/184.16 inference(scs_inference,[],[42,21,108,26,14,27])).
% 184.18/184.16 cnf(143,plain,
% 184.18/184.16 (~E(f1(f3(a7,a4),f3(a4,a7)),f3(f1(a7,a4),f2(a7,a4)))),
% 184.18/184.16 inference(scs_inference,[],[51,98,96,18,14,3])).
% 184.18/184.16 cnf(146,plain,
% 184.18/184.16 (~E(f1(f3(a4,a7),f3(a7,a4)),f3(f1(a7,a4),f2(a7,a4)))),
% 184.18/184.16 inference(scs_inference,[],[143,19,3])).
% 184.18/184.16 cnf(148,plain,
% 184.18/184.16 (P1(f2(x1481,f1(x1482,x1483)),f2(f1(x1483,x1482),x1481))),
% 184.18/184.16 inference(scs_inference,[],[47,53,143,19,3,14])).
% 184.18/184.16 cnf(154,plain,
% 184.18/184.16 (~E(f3(f1(a7,a4),f2(a7,a4)),f1(f3(a4,a7),f3(a7,a4)))),
% 184.18/184.16 inference(scs_inference,[],[22,114,146,15,27,2])).
% 184.18/184.16 cnf(165,plain,
% 184.18/184.16 (P1(f2(f1(x1651,x1652),x1653),f2(x1653,f1(x1652,x1651)))),
% 184.18/184.16 inference(scs_inference,[],[47,54,14])).
% 184.18/184.16 cnf(167,plain,
% 184.18/184.16 (~E(f1(f3(a7,a4),f3(a4,a7)),f3(f1(a4,a7),f2(a7,a4)))),
% 184.18/184.16 inference(scs_inference,[],[50,143,3])).
% 184.18/184.16 cnf(169,plain,
% 184.18/184.16 (~E(f3(f1(a4,a7),f2(a7,a4)),f1(f3(a4,a7),f3(a7,a4)))),
% 184.18/184.16 inference(scs_inference,[],[50,154,3])).
% 184.18/184.16 cnf(176,plain,
% 184.18/184.16 (P1(f2(f2(x1761,x1762),x1763),f2(x1763,f2(x1762,x1761)))),
% 184.18/184.16 inference(scs_inference,[],[47,104,15])).
% 184.18/184.16 cnf(178,plain,
% 184.18/184.16 (P1(f6(x1781,f1(x1782,x1783)),f6(x1781,f1(x1783,x1782)))),
% 184.18/184.16 inference(scs_inference,[],[47,55,104,15,26])).
% 184.18/184.16 cnf(182,plain,
% 184.18/184.16 (P1(f2(f2(x1821,x1822),f1(x1823,x1824)),f2(f1(x1824,x1823),f2(x1822,x1821)))),
% 184.18/184.16 inference(scs_inference,[],[105,148,14])).
% 184.18/184.16 cnf(185,plain,
% 184.18/184.16 (P1(f6(f1(x1851,x1852),f1(x1853,x1854)),f6(f1(x1852,x1851),f1(x1854,x1853)))),
% 184.18/184.16 inference(scs_inference,[],[56,105,148,178,14,15])).
% 184.18/184.16 cnf(188,plain,
% 184.18/184.16 (~E(f1(f3(a4,a7),f3(a7,a4)),f3(f1(a4,a7),f2(a7,a4)))),
% 184.18/184.16 inference(scs_inference,[],[169,2])).
% 184.18/184.16 cnf(194,plain,
% 184.18/184.16 (P1(f1(x1941,f1(x1942,x1943)),f1(x1941,f1(x1943,x1942)))),
% 184.18/184.16 inference(scs_inference,[],[57,18,14])).
% 184.18/184.16 cnf(201,plain,
% 184.18/184.16 (P1(f2(f1(x2011,x2012),x2013),f2(x2013,f1(x2012,x2011)))),
% 184.18/184.16 inference(rename_variables,[],[165])).
% 184.18/184.16 cnf(207,plain,
% 184.18/184.16 (P1(f2(f1(x2071,x2072),f1(x2073,x2074)),f2(f1(x2074,x2073),f1(x2072,x2071)))),
% 184.18/184.16 inference(scs_inference,[],[53,165,201,182,185,55,27,15,2,14])).
% 184.18/184.16 cnf(210,plain,
% 184.18/184.16 (P2(x2101,x2102)+~P2(x2101,f3(f2(x2103,x2102),x2104))),
% 184.18/184.16 inference(scs_inference,[],[33,34])).
% 184.18/184.16 cnf(219,plain,
% 184.18/184.16 (P1(x2191,x2192)+~P2(f5(x2191,x2192),f2(x2192,x2193))),
% 184.18/184.16 inference(scs_inference,[],[35,36])).
% 184.18/184.16 cnf(220,plain,
% 184.18/184.16 (P1(f1(f1(x2201,x2202),f1(x2203,x2204)),f1(f1(x2202,x2201),f1(x2204,x2203)))),
% 184.18/184.16 inference(scs_inference,[],[58,194,14])).
% 184.18/184.16 cnf(227,plain,
% 184.18/184.16 (P1(f2(f1(x2271,x2272),x2273),f2(f1(x2272,x2271),x2273))),
% 184.18/184.16 inference(scs_inference,[],[54,220,57,14,26])).
% 184.18/184.16 cnf(235,plain,
% 184.18/184.16 (P1(f2(f1(x2351,x2352),f1(x2353,x2354)),f2(f1(x2352,x2351),f1(x2354,x2353)))),
% 184.18/184.16 inference(scs_inference,[],[53,227,15])).
% 184.18/184.16 cnf(238,plain,
% 184.18/184.16 (P1(f6(x2381,f2(x2382,x2383)),f6(x2381,f2(x2383,x2382)))),
% 184.18/184.16 inference(scs_inference,[],[53,227,99,18,15,14])).
% 184.18/184.16 cnf(240,plain,
% 184.18/184.16 (P2(f5(f3(f2(x2401,x2402),x2403),x2404),x2402)+P1(f3(f2(x2401,x2402),x2403),x2404)),
% 184.18/184.16 inference(scs_inference,[],[210,28])).
% 184.18/184.16 cnf(244,plain,
% 184.18/184.16 (P1(f6(f2(x2441,x2442),f2(x2443,x2444)),f6(f2(x2442,x2441),f2(x2444,x2443)))),
% 184.18/184.16 inference(scs_inference,[],[54,235,238,100,14,15])).
% 184.18/184.16 cnf(247,plain,
% 184.18/184.16 (P1(f3(f2(x2471,f2(x2472,x2473)),x2474),x2472)),
% 184.18/184.16 inference(scs_inference,[],[219,240])).
% 184.18/184.16 cnf(250,plain,
% 184.18/184.16 (P1(f6(f1(x2501,x2502),x2503),f6(f1(x2502,x2501),x2503))),
% 184.18/184.16 inference(scs_inference,[],[56,247,27,26])).
% 184.18/184.16 cnf(275,plain,
% 184.18/184.16 (P1(f1(f1(x2751,x2752),x2753),f1(f1(x2752,x2751),x2753))),
% 184.18/184.16 inference(scs_inference,[],[58,244,99,14,26])).
% 184.18/184.16 cnf(280,plain,
% 184.18/184.16 (P1(f1(f1(x2801,x2802),f2(x2803,x2804)),f1(f1(x2802,x2801),f2(x2804,x2803)))),
% 184.18/184.16 inference(scs_inference,[],[275,106,14])).
% 184.18/184.16 cnf(283,plain,
% 184.18/184.16 (P1(f1(f1(x2831,x2832),f2(x2833,x2834)),f1(f1(x2831,x2832),f2(x2834,x2833)))),
% 184.18/184.16 inference(scs_inference,[],[58,280,14])).
% 184.18/184.16 cnf(287,plain,
% 184.18/184.16 (P1(f6(f1(x2871,x2872),f2(x2873,x2874)),f6(f1(x2872,x2871),f2(x2874,x2873)))),
% 184.18/184.16 inference(scs_inference,[],[250,99,15])).
% 184.18/184.16 cnf(290,plain,
% 184.18/184.16 (P1(f1(f2(x2901,x2902),x2903),f1(f2(x2902,x2901),x2903))),
% 184.18/184.16 inference(scs_inference,[],[250,107,99,15,26])).
% 184.18/184.16 cnf(301,plain,
% 184.18/184.16 (P1(f1(f2(x3011,x3012),f1(x3013,x3014)),f1(f2(x3012,x3011),f1(x3014,x3013)))),
% 184.18/184.16 inference(scs_inference,[],[57,290,14])).
% 184.18/184.16 cnf(304,plain,
% 184.18/184.16 (P1(f3(x3041,x3042),f3(x3041,f2(x3042,x3041)))),
% 184.18/184.16 inference(scs_inference,[],[57,85,290,98,14,15])).
% 184.18/184.16 cnf(310,plain,
% 184.18/184.16 (P1(f2(f1(x3101,x3102),f2(x3103,x3104)),f2(f2(x3104,x3103),f1(x3102,x3101)))),
% 184.18/184.16 inference(scs_inference,[],[165,104,14])).
% 184.18/184.16 cnf(313,plain,
% 184.18/184.16 (E(f2(f1(x3131,x3132),f2(x3133,x3134)),f2(f2(x3134,x3133),f1(x3132,x3131)))),
% 184.18/184.16 inference(scs_inference,[],[310,182,27])).
% 184.18/184.16 cnf(316,plain,
% 184.18/184.16 (E(f2(f2(x3161,x3162),f1(x3163,x3164)),f2(f1(x3164,x3163),f2(x3162,x3161)))),
% 184.18/184.16 inference(scs_inference,[],[310,182,27,2])).
% 184.18/184.16 cnf(317,plain,
% 184.18/184.16 (P1(f6(f2(x3171,x3172),x3173),f6(f2(x3172,x3171),x3173))),
% 184.18/184.16 inference(scs_inference,[],[100,26])).
% 184.18/184.16 cnf(325,plain,
% 184.18/184.16 (P1(f2(f2(x3251,x3252),f2(x3253,x3254)),f2(f2(x3254,x3253),f2(x3252,x3251)))),
% 184.18/184.16 inference(scs_inference,[],[313,148,176,104,15,14])).
% 184.18/184.16 cnf(331,plain,
% 184.18/184.16 (P1(f2(f1(x3311,x3312),f2(x3313,x3314)),f2(f2(x3314,x3313),f1(x3311,x3312)))),
% 184.18/184.16 inference(scs_inference,[],[325,227,313,105,14,15])).
% 184.18/184.16 cnf(346,plain,
% 184.18/184.16 (P1(f3(f2(x3461,x3462),x3463),f3(f2(x3462,x3461),x3463))),
% 184.18/184.16 inference(scs_inference,[],[178,316,101,100,105,14,3,26])).
% 184.18/184.16 cnf(348,plain,
% 184.18/184.16 (E(f2(f1(x3481,x3482),f2(x3483,x3484)),f2(f2(x3483,x3484),f1(x3482,x3481)))),
% 184.18/184.16 inference(scs_inference,[],[178,316,101,100,105,14,3,26,2])).
% 184.18/184.16 cnf(349,plain,
% 184.18/184.16 (P1(f1(f2(x3491,x3492),f2(x3493,x3494)),f1(f2(x3492,x3491),f2(x3494,x3493)))),
% 184.18/184.16 inference(scs_inference,[],[290,106,15])).
% 184.18/184.16 cnf(364,plain,
% 184.18/184.16 (P1(f1(f2(x3641,x3642),f2(x3643,x3644)),f1(f2(x3641,x3642),f2(x3644,x3643)))),
% 184.18/184.16 inference(scs_inference,[],[349,107,14])).
% 184.18/184.16 cnf(368,plain,
% 184.18/184.16 (~P2(x3681,f2(f1(x3682,x3683),f1(x3684,x3685)))+P2(x3681,f2(f1(x3685,x3684),f1(x3683,x3682)))),
% 184.18/184.16 inference(scs_inference,[],[207,29])).
% 184.18/184.16 cnf(376,plain,
% 184.18/184.16 (E(f3(x3761,x3762),f3(x3761,f2(f2(x3761,x3762),x3761)))),
% 184.18/184.16 inference(scs_inference,[],[98,122,3])).
% 184.18/184.16 cnf(378,plain,
% 184.18/184.16 (E(f3(x3781,f2(x3782,x3783)),f3(x3781,f2(x3783,x3782)))),
% 184.18/184.16 inference(rename_variables,[],[98])).
% 184.18/184.16 cnf(379,plain,
% 184.18/184.16 (P1(f3(x3791,f2(x3792,x3793)),f3(x3791,f2(x3793,x3792)))),
% 184.18/184.16 inference(scs_inference,[],[98,378,122,3,26])).
% 184.18/184.16 cnf(381,plain,
% 184.18/184.16 (P1(f1(f1(x3811,x3812),f2(x3813,x3814)),f1(f2(x3814,x3813),f1(x3811,x3812)))),
% 184.18/184.16 inference(scs_inference,[],[98,378,283,122,19,3,26,15])).
% 184.18/184.16 cnf(384,plain,
% 184.18/184.16 (E(f3(x3841,f2(f2(x3841,x3842),x3841)),f3(x3841,x3842))),
% 184.18/184.16 inference(scs_inference,[],[376,2])).
% 184.18/184.16 cnf(385,plain,
% 184.18/184.16 (P1(f1(f1(x3851,x3852),f2(x3853,x3854)),f1(f2(x3854,x3853),f1(x3852,x3851)))),
% 184.18/184.16 inference(scs_inference,[],[376,381,58,2,14])).
% 184.18/184.16 cnf(393,plain,
% 184.18/184.16 (P1(f1(f1(x3931,x3932),f2(x3933,x3934)),f1(f2(x3933,x3934),f1(x3932,x3931)))),
% 184.18/184.16 inference(scs_inference,[],[385,107,15])).
% 184.18/184.16 cnf(399,plain,
% 184.18/184.16 (P1(f1(f2(x3991,x3992),f1(x3993,x3994)),f1(f1(x3994,x3993),f2(x3992,x3991)))),
% 184.18/184.16 inference(scs_inference,[],[301,19,15])).
% 184.18/184.16 cnf(411,plain,
% 184.18/184.16 (P1(f3(f1(x4111,x4112),f2(x4113,x4114)),f3(f1(x4112,x4111),f2(x4114,x4113)))),
% 184.18/184.16 inference(scs_inference,[],[393,399,379,50,27,2,14])).
% 184.18/184.16 cnf(415,plain,
% 184.18/184.16 (E(f1(f2(x4151,x4152),f1(x4153,x4153)),f1(f1(x4153,x4153),f2(x4152,x4151)))),
% 184.18/184.16 inference(scs_inference,[],[381,399,27])).
% 184.18/184.16 cnf(424,plain,
% 184.18/184.16 (E(f3(x4241,x4242),f3(x4241,f2(x4242,x4241)))),
% 184.18/184.16 inference(scs_inference,[],[98,103,42,26,3])).
% 184.18/184.16 cnf(432,plain,
% 184.18/184.16 (P1(f1(f2(x4321,x4322),f2(x4323,x4324)),f1(f2(x4324,x4323),f2(x4321,x4322)))),
% 184.18/184.16 inference(scs_inference,[],[415,364,19,2,15])).
% 184.18/184.16 cnf(435,plain,
% 184.18/184.16 (E(f1(f1(x4351,x4352),f2(x4353,x4354)),f1(f2(x4354,x4353),f1(x4352,x4351)))),
% 184.18/184.16 inference(scs_inference,[],[385,399,27])).
% 184.18/184.16 cnf(438,plain,
% 184.18/184.16 (P1(f1(f2(x4381,x4382),f2(x4383,x4384)),f1(f2(x4384,x4383),f2(x4382,x4381)))),
% 184.18/184.16 inference(scs_inference,[],[432,385,399,107,27,14])).
% 184.18/184.16 cnf(441,plain,
% 184.18/184.16 (E(f1(f2(x4411,x4412),f1(x4413,x4414)),f1(f1(x4414,x4413),f2(x4412,x4411)))),
% 184.18/184.16 inference(scs_inference,[],[385,399,27])).
% 184.18/184.16 cnf(447,plain,
% 184.18/184.16 (P1(f2(x4471,f2(x4472,x4473)),f2(x4471,f2(x4473,x4472)))),
% 184.18/184.16 inference(scs_inference,[],[104,438,385,106,399,27,14,26])).
% 184.18/184.16 cnf(454,plain,
% 184.18/184.17 (~P2(f5(x4541,f1(x4542,x4543)),f2(f1(x4544,x4545),f1(x4543,x4542)))+P1(x4541,f1(x4542,x4543))),
% 184.18/184.17 inference(scs_inference,[],[368,219])).
% 184.18/184.17 cnf(458,plain,
% 184.18/184.17 (E(f1(f1(x4581,x4582),f2(x4583,x4584)),f1(f2(x4583,x4584),f1(x4582,x4581)))),
% 184.18/184.17 inference(scs_inference,[],[105,106,435,447,15,3])).
% 184.18/184.17 cnf(461,plain,
% 184.18/184.17 (E(f3(x4611,f2(x4612,x4611)),f3(x4611,x4612))),
% 184.18/184.17 inference(scs_inference,[],[105,106,424,435,447,15,3,2])).
% 184.18/184.17 cnf(463,plain,
% 184.18/184.17 (P1(f1(f2(x4631,x4632),f1(x4633,x4634)),f1(f1(x4633,x4634),f2(x4632,x4631)))),
% 184.18/184.17 inference(scs_inference,[],[441,194,15])).
% 184.18/184.17 cnf(464,plain,
% 184.18/184.17 (E(f1(f2(x4641,x4642),f1(x4643,x4644)),f1(f1(x4644,x4643),f2(x4642,x4641)))),
% 184.18/184.17 inference(rename_variables,[],[441])).
% 184.18/184.17 cnf(466,plain,
% 184.18/184.17 (E(f1(f2(x4661,x4662),f1(x4663,x4664)),f1(f1(x4664,x4663),f2(x4661,x4662)))),
% 184.18/184.17 inference(scs_inference,[],[106,441,464,194,15,3])).
% 184.18/184.17 cnf(472,plain,
% 184.18/184.17 (E(f1(f1(x4721,x4722),f2(x4723,x4724)),f1(f2(x4724,x4723),f1(x4721,x4722)))),
% 184.18/184.17 inference(scs_inference,[],[105,463,381,26,27])).
% 184.18/184.17 cnf(475,plain,
% 184.18/184.17 (P1(f3(x4751,x4752),f3(x4751,f2(f2(x4752,x4751),x4751)))),
% 184.18/184.17 inference(scs_inference,[],[105,461,463,304,381,26,27,14])).
% 184.18/184.17 cnf(477,plain,
% 184.18/184.17 (E(f1(f2(x4771,x4772),f1(x4773,x4774)),f1(f1(x4773,x4774),f2(x4772,x4771)))),
% 184.18/184.17 inference(scs_inference,[],[463,381,27])).
% 184.18/184.17 cnf(517,plain,
% 184.18/184.17 (P1(f3(x5171,f2(x5171,f2(x5172,x5171))),f3(x5171,x5172))),
% 184.18/184.17 inference(scs_inference,[],[118,466,472,461,3,15])).
% 184.18/184.17 cnf(523,plain,
% 184.18/184.17 (P1(f2(f1(x5231,x5232),f1(x5233,x5234)),f1(x5234,x5233))),
% 184.18/184.17 inference(scs_inference,[],[454,28])).
% 184.18/184.17 cnf(548,plain,
% 184.18/184.17 (E(f2(f2(x5481,x5482),f1(x5483,x5484)),f2(f1(x5483,x5484),f2(x5482,x5481)))),
% 184.18/184.17 inference(scs_inference,[],[176,331,27])).
% 184.18/184.17 cnf(552,plain,
% 184.18/184.17 (E(f2(f1(x5521,x5522),f2(x5523,x5524)),f2(f2(x5524,x5523),f1(x5521,x5522)))),
% 184.18/184.17 inference(scs_inference,[],[176,331,27,2])).
% 184.18/184.17 cnf(553,plain,
% 184.18/184.17 (E(f2(f2(x5531,x5532),f1(x5533,x5534)),f2(f2(x5532,x5531),f1(x5534,x5533)))),
% 184.18/184.17 inference(scs_inference,[],[348,176,331,27,2,3])).
% 184.18/184.17 cnf(619,plain,
% 184.18/184.17 (P1(f3(x6191,x6192),f3(x6191,f2(x6191,f2(x6192,x6191))))),
% 184.18/184.17 inference(scs_inference,[],[304,42,15])).
% 184.18/184.17 cnf(622,plain,
% 184.18/184.17 (E(f3(x6221,f2(x6221,f2(x6222,x6221))),f3(x6221,x6222))),
% 184.18/184.17 inference(scs_inference,[],[619,517,27])).
% 184.18/184.17 cnf(625,plain,
% 184.18/184.17 (E(f3(x6251,x6252),f3(x6251,f2(x6251,f2(x6252,x6251))))),
% 184.18/184.17 inference(scs_inference,[],[619,517,27,2])).
% 184.18/184.17 cnf(632,plain,
% 184.18/184.17 (E(f3(x6321,f2(f2(x6322,x6321),x6321)),f3(x6321,x6322))),
% 184.18/184.17 inference(scs_inference,[],[287,622,475,379,15,29,17,27])).
% 184.18/184.17 cnf(637,plain,
% 184.18/184.17 (E(f3(x6371,x6372),f3(x6371,f2(f2(x6372,x6371),x6371)))),
% 184.18/184.17 inference(scs_inference,[],[632,2])).
% 184.18/184.17 cnf(671,plain,
% 184.18/184.17 (~P2(x6711,f3(f1(x6712,x6713),f2(x6714,x6715)))+P2(x6711,f3(f1(x6713,x6712),f2(x6715,x6714)))),
% 184.18/184.17 inference(scs_inference,[],[411,29])).
% 184.18/184.17 cnf(675,plain,
% 184.18/184.17 (~P2(x6751,f3(f1(x6752,x6753),f2(x6754,x6755)))+P2(x6751,f1(x6753,x6752))),
% 184.18/184.17 inference(scs_inference,[],[671,33])).
% 184.18/184.17 cnf(676,plain,
% 184.18/184.17 (~P2(f5(x6761,f1(x6762,x6763)),f3(f1(x6763,x6762),f2(x6764,x6765)))+P1(x6761,f1(x6762,x6763))),
% 184.18/184.17 inference(scs_inference,[],[675,36])).
% 184.18/184.17 cnf(678,plain,
% 184.18/184.17 (P1(f3(f1(x6781,x6782),f2(x6783,x6784)),f1(x6782,x6781))),
% 184.18/184.17 inference(scs_inference,[],[676,28])).
% 184.18/184.17 cnf(679,plain,
% 184.18/184.17 (P1(f3(f1(f1(x6791,x6792),f2(x6793,x6794)),f2(x6795,x6796)),f1(f1(x6792,x6791),f2(x6794,x6793)))),
% 184.18/184.17 inference(scs_inference,[],[678,441,15])).
% 184.18/184.17 cnf(688,plain,
% 184.18/184.17 (P1(f3(f1(f2(x6881,x6882),f1(x6883,x6884)),f2(x6885,x6886)),f1(f2(x6882,x6881),f1(x6884,x6883)))),
% 184.18/184.17 inference(scs_inference,[],[435,678,15])).
% 184.18/184.17 cnf(738,plain,
% 184.18/184.17 (P1(f3(f1(x7381,x7382),x7383),f1(x7382,x7381))),
% 184.18/184.17 inference(scs_inference,[],[461,458,679,688,678,15,27,14])).
% 184.18/184.17 cnf(817,plain,
% 184.18/184.17 (P1(f2(f1(x8171,x8172),f1(x8173,x8174)),f1(x8172,x8171))),
% 184.18/184.17 inference(scs_inference,[],[523,20,14])).
% 184.18/184.17 cnf(820,plain,
% 184.18/184.17 (P1(f2(f1(x8201,x8202),f1(x8203,x8204)),f1(x8201,x8202))),
% 184.18/184.17 inference(scs_inference,[],[817,54,14])).
% 184.18/184.17 cnf(969,plain,
% 184.18/184.17 (P1(f1(f3(x9691,x9692),f3(x9693,x9692)),f1(x9693,x9691))),
% 184.18/184.17 inference(scs_inference,[],[738,87,19,15,14])).
% 184.18/184.17 cnf(1029,plain,
% 184.18/184.17 (P1(f2(f1(f1(x10291,x10292),f2(x10293,x10294)),f1(x10295,x10296)),f1(f2(x10293,x10294),f1(x10292,x10291)))),
% 184.18/184.17 inference(scs_inference,[],[820,458,15])).
% 184.18/184.17 cnf(1035,plain,
% 184.18/184.17 (P1(f2(f1(f1(x10351,x10352),f2(x10353,x10354)),f1(x10355,x10356)),f1(f1(x10352,x10351),f2(x10354,x10353)))),
% 184.18/184.17 inference(scs_inference,[],[1029,477,15])).
% 184.18/184.17 cnf(1090,plain,
% 184.18/184.17 (P1(f1(f3(f1(x10901,x10902),x10903),f3(x10904,x10903)),f1(x10904,f1(x10902,x10901)))),
% 184.18/184.17 inference(scs_inference,[],[969,1035,57,27,15])).
% 184.18/184.17 cnf(1894,plain,
% 184.18/184.17 (E(f5(f2(f2(x18941,x18942),f1(x18943,x18944)),x18945),f5(f2(f2(x18942,x18941),f1(x18944,x18943)),x18945))),
% 184.18/184.17 inference(scs_inference,[],[553,8,9,10])).
% 184.18/184.17 cnf(1895,plain,
% 184.18/184.17 (E(f5(x18951,f2(f2(x18952,x18953),f1(x18954,x18955))),f5(x18951,f2(f2(x18953,x18952),f1(x18955,x18954))))),
% 184.18/184.17 inference(scs_inference,[],[553,8,9,10,11])).
% 184.18/184.17 cnf(1907,plain,
% 184.18/184.17 (P1(f2(f2(f2(x19071,x19072),f1(x19073,x19074)),x19075),f2(f2(f2(x19072,x19071),f1(x19074,x19073)),x19075))),
% 184.18/184.17 inference(scs_inference,[],[24,553,424,95,18,1090,8,9,10,11,12,5,7,13,14,3,4,6,15])).
% 184.18/184.17 cnf(1911,plain,
% 184.18/184.17 (~E(f1(f3(a4,a7),f3(a7,a4)),f3(f1(a4,a7),f2(f2(a4,a7),f1(a4,a7))))),
% 184.18/184.17 inference(scs_inference,[],[24,553,424,95,18,1090,8,9,10,11,12,5,7,13,14,3,4,6,15,27,2])).
% 184.18/184.17 cnf(1912,plain,
% 184.18/184.17 (P1(f2(x19121,f2(f2(x19122,x19123),f1(x19124,x19125))),f2(x19121,f2(f2(x19123,x19122),f1(x19125,x19124))))),
% 184.18/184.17 inference(scs_inference,[],[24,553,424,95,18,1090,8,9,10,11,12,5,7,13,14,3,4,6,15,27,2,26])).
% 184.18/184.17 cnf(2328,plain,
% 184.18/184.17 (E(f1(f3(x23281,x23282),x23283),f1(f3(x23281,f2(f2(x23282,x23281),x23281)),x23283))),
% 184.18/184.17 inference(scs_inference,[],[637,4])).
% 184.18/184.17 cnf(2329,plain,
% 184.18/184.17 (E(f1(f3(x23291,f2(f2(x23292,x23291),x23291)),x23293),f1(f3(x23291,x23292),x23293))),
% 184.18/184.17 inference(scs_inference,[],[637,4,2])).
% 184.18/184.17 cnf(2330,plain,
% 184.18/184.17 (P1(f5(f2(f2(x23301,x23302),f1(x23303,x23304)),x23305),f5(f2(f2(x23302,x23301),f1(x23304,x23303)),x23305))),
% 184.18/184.17 inference(scs_inference,[],[637,1894,4,2,26])).
% 184.18/184.17 cnf(2332,plain,
% 184.18/184.17 (P1(f2(f1(x23321,x23322),f2(f1(x23323,x23324),f2(x23325,x23326))),f2(f2(f2(x23326,x23325),f1(x23324,x23323)),f1(x23322,x23321)))),
% 184.18/184.17 inference(scs_inference,[],[637,316,1894,1907,4,2,26,14])).
% 184.18/184.17 cnf(2335,plain,
% 184.18/184.17 (E(f3(x23351,f2(f2(x23351,x23352),x23351)),f3(x23351,f2(f2(x23352,x23351),x23351)))),
% 184.18/184.17 inference(scs_inference,[],[637,384,316,1894,1907,4,2,26,14,3])).
% 184.18/184.17 cnf(2339,plain,
% 184.18/184.17 (E(f1(x23391,f3(x23392,x23393)),f1(x23391,f3(x23392,f2(f2(x23393,x23392),x23392))))),
% 184.18/184.17 inference(scs_inference,[],[637,384,316,1894,1907,4,2,26,14,3,6,13,5])).
% 184.18/184.17 cnf(2345,plain,
% 184.18/184.17 (E(f5(f3(x23451,x23452),x23453),f5(f3(x23451,f2(f2(x23452,x23451),x23451)),x23453))),
% 184.18/184.17 inference(scs_inference,[],[637,384,316,1894,1907,4,2,26,14,3,6,13,5,7,11,12,8,9,10])).
% 184.18/184.17 cnf(2346,plain,
% 184.18/184.17 (P1(f5(x23461,f2(f2(x23462,x23463),f1(x23464,x23465))),f5(x23461,f2(f2(x23463,x23462),f1(x23465,x23464))))),
% 184.18/184.17 inference(scs_inference,[],[18,637,384,316,1894,1895,1907,4,2,26,14,3,6,13,5,7,11,12,8,9,10,15])).
% 184.18/184.17 cnf(2375,plain,
% 184.18/184.17 (P1(x23751,x23751)),
% 184.18/184.17 inference(rename_variables,[],[18])).
% 184.18/184.17 cnf(2378,plain,
% 184.18/184.17 (~E(f1(f3(a4,f2(f2(a7,a4),a4)),f3(a7,a4)),f3(f1(a4,a7),f2(a4,a7)))),
% 184.18/184.17 inference(scs_inference,[],[18,24,2335,2329,15,3,2])).
% 184.18/184.17 cnf(2379,plain,
% 184.18/184.17 (P1(f3(x23791,f2(f2(x23792,x23791),x23791)),f3(x23791,f2(f2(x23791,x23792),x23791)))),
% 184.18/184.17 inference(scs_inference,[],[18,2375,24,2335,2329,15,3,2,14])).
% 184.18/184.17 cnf(2398,plain,
% 184.18/184.17 (E(f3(x23981,f2(f2(x23982,x23981),x23981)),f3(x23981,f2(f2(x23981,x23982),x23981)))),
% 184.18/184.17 inference(scs_inference,[],[2335,2])).
% 184.18/184.17 cnf(2399,plain,
% 184.18/184.17 (~E(f3(f1(a4,a7),f2(f1(a4,a7),f2(f2(a4,a7),f1(a4,a7)))),f1(f3(a4,a7),f3(a7,a4)))),
% 184.18/184.17 inference(scs_inference,[],[24,2335,625,2,3])).
% 184.18/184.17 cnf(2459,plain,
% 184.18/184.17 (~E(f1(f3(a4,a7),f3(a7,a4)),f3(f1(a4,a7),f2(f1(a4,a7),f2(f2(a4,a7),f1(a4,a7)))))),
% 184.18/184.17 inference(scs_inference,[],[2399,2])).
% 184.18/184.17 cnf(2460,plain,
% 184.18/184.17 (E(f1(f3(x24601,f2(f2(x24602,x24601),x24601)),f3(x24603,x24602)),f3(f1(x24603,x24601),x24602))),
% 184.18/184.17 inference(scs_inference,[],[2329,95,2399,2,3])).
% 184.18/184.17 cnf(2618,plain,
% 184.18/184.17 (E(f3(f1(x26181,x26182),x26183),f1(f3(x26182,f2(f2(x26183,x26182),x26182)),f3(x26181,x26183)))),
% 184.18/184.17 inference(scs_inference,[],[2460,2])).
% 184.18/184.17 cnf(2619,plain,
% 184.18/184.17 (~E(f1(f3(a4,a7),f3(a7,a4)),f3(f1(a4,a7),f2(f2(f2(f1(a4,a7),f2(f2(a4,a7),f1(a4,a7))),f1(a4,a7)),f1(a4,a7))))),
% 184.18/184.17 inference(scs_inference,[],[2460,2459,632,2,3])).
% 184.18/184.17 cnf(2621,plain,
% 184.18/184.17 (E(f3(f1(f3(x26211,f2(f2(x26212,x26211),x26211)),f3(x26213,x26212)),x26214),f3(f3(f1(x26213,x26211),x26212),x26214))),
% 184.18/184.17 inference(scs_inference,[],[2460,2459,632,2,3,12])).
% 184.18/184.17 cnf(2628,plain,
% 184.18/184.17 (E(f5(f1(f3(x26281,f2(f2(x26282,x26281),x26281)),f3(x26283,x26282)),x26284),f5(f3(f1(x26283,x26281),x26282),x26284))),
% 184.18/184.17 inference(scs_inference,[],[2460,2459,632,2,3,12,13,5,9,4,6,7,10])).
% 184.18/184.17 cnf(2629,plain,
% 184.18/184.17 (E(f5(x26291,f1(f3(x26292,f2(f2(x26293,x26292),x26292)),f3(x26294,x26293))),f5(x26291,f3(f1(x26294,x26292),x26293)))),
% 184.18/184.17 inference(scs_inference,[],[2460,2459,632,2,3,12,13,5,9,4,6,7,10,11])).
% 184.18/184.17 cnf(2631,plain,
% 184.18/184.17 (P1(f1(f3(x26311,f2(f2(x26312,x26311),x26311)),f3(x26313,x26312)),f3(f1(x26313,x26311),x26312))),
% 184.18/184.17 inference(scs_inference,[],[2460,2459,632,2,3,12,13,5,9,4,6,7,10,11,8,26])).
% 184.18/184.17 cnf(2636,plain,
% 184.18/184.17 (~E(f3(f1(a4,a7),f2(f2(f2(f1(a4,a7),f2(f2(a4,a7),f1(a4,a7))),f1(a4,a7)),f1(a4,a7))),f1(f3(a4,a7),f3(a7,a4)))),
% 184.18/184.17 inference(scs_inference,[],[2619,2])).
% 184.18/184.17 cnf(2637,plain,
% 184.18/184.17 (P1(f2(f2(f2(x26371,x26372),f1(x26373,x26374)),f1(x26375,x26376)),f2(f1(x26376,x26375),f2(f2(x26372,x26371),f1(x26374,x26373))))),
% 184.18/184.17 inference(scs_inference,[],[348,1912,2619,2,14])).
% 184.18/184.17 cnf(2640,plain,
% 184.18/184.17 (~E(f1(f3(a7,f2(f2(f2(a4,a7),a7),a7)),f3(a4,f2(a4,a7))),f1(f3(a4,a7),f3(a7,a4)))),
% 184.18/184.17 inference(scs_inference,[],[24,2618,348,1912,2619,2,14,3])).
% 184.18/184.17 cnf(2641,plain,
% 184.18/184.17 (E(f3(f1(x26411,x26412),x26413),f1(f3(x26412,f2(f2(x26413,x26412),x26412)),f3(x26411,x26413)))),
% 184.18/184.17 inference(rename_variables,[],[2618])).
% 184.18/184.17 cnf(2642,plain,
% 184.18/184.17 (P1(f3(f1(x26421,x26422),x26423),f1(f3(x26422,f2(f2(x26423,x26422),x26422)),f3(x26421,x26423)))),
% 184.18/184.17 inference(scs_inference,[],[18,24,2618,2641,348,1912,2619,2,14,3,15])).
% 184.18/184.17 cnf(2688,plain,
% 184.18/184.17 (E(f3(f1(x26881,x26882),f2(f2(x26883,x26882),x26882)),f1(f3(x26882,x26883),f3(x26881,f2(f2(x26883,x26882),x26882))))),
% 184.18/184.17 inference(scs_inference,[],[2329,88,2621,2629,2330,2,15,3])).
% 184.18/184.17 cnf(2690,plain,
% 184.18/184.17 (E(f1(f3(x26901,f2(f2(x26902,x26901),x26901)),x26903),f1(f3(x26901,x26902),x26903))),
% 184.18/184.17 inference(rename_variables,[],[2329])).
% 184.18/184.17 cnf(2691,plain,
% 184.18/184.17 (P1(f1(f3(x26911,x26912),x26913),f1(f3(x26911,f2(f2(x26912,x26911),x26911)),x26913))),
% 184.18/184.17 inference(scs_inference,[],[18,2329,2690,88,2621,2629,2330,2,15,3,14])).
% 184.18/184.17 cnf(2716,plain,
% 184.18/184.17 (~E(f1(f3(a4,a7),f3(a7,a4)),f1(f3(a7,f2(f2(f2(a4,a7),a7),a7)),f3(a4,f2(a4,a7))))),
% 184.18/184.17 inference(scs_inference,[],[2640,2])).
% 184.18/184.17 cnf(2717,plain,
% 184.18/184.17 (~E(f1(f3(a4,f2(f2(a7,a4),a4)),f3(a7,a4)),f3(f1(a4,a7),f2(f1(a4,a7),f2(f2(a4,a7),f1(a4,a7)))))),
% 184.18/184.17 inference(scs_inference,[],[2378,622,2640,2,3])).
% 184.18/184.17 cnf(2722,plain,
% 184.18/184.17 (E(f1(f3(x27221,x27222),f3(x27223,f2(f2(x27222,x27221),x27221))),f3(f1(x27223,x27221),f2(f2(x27222,x27221),x27221)))),
% 184.18/184.17 inference(scs_inference,[],[2688,2])).
% 184.18/184.17 cnf(2723,plain,
% 184.18/184.17 (~E(f1(f3(a4,f2(f2(a7,a4),a4)),f3(a7,a4)),f3(f1(a4,a7),f2(f2(a4,a7),f1(a4,a7))))),
% 184.18/184.17 inference(scs_inference,[],[2688,1911,2328,2,3])).
% 184.18/184.17 cnf(2725,plain,
% 184.18/184.17 (E(f3(f3(x27251,f2(f2(x27252,x27251),x27251)),x27253),f3(f3(x27251,f2(f2(x27251,x27252),x27251)),x27253))),
% 184.18/184.17 inference(scs_inference,[],[2688,1911,2398,2328,2,3,12])).
% 184.18/184.17 cnf(2741,plain,
% 184.18/184.17 (~E(f3(f1(a4,a7),f2(f2(a4,a7),f1(a4,a7))),f1(f3(a4,f2(f2(a7,a4),a4)),f3(a7,a4)))),
% 184.18/184.17 inference(scs_inference,[],[2723,2])).
% 184.18/184.17 cnf(2742,plain,
% 184.18/184.17 (P1(f3(f1(x27421,x27422),x27423),f1(f3(x27421,x27423),f3(x27422,f2(f2(x27423,x27422),x27422))))),
% 184.18/184.17 inference(scs_inference,[],[19,2642,2723,2,15])).
% 184.18/184.17 cnf(2743,plain,
% 184.18/184.17 (E(f1(x27431,x27432),f1(x27432,x27431))),
% 184.18/184.17 inference(rename_variables,[],[19])).
% 184.18/184.17 cnf(2744,plain,
% 184.18/184.17 (E(f3(f1(x27441,x27442),f2(f2(x27443,x27442),x27442)),f1(f3(x27441,f2(f2(x27443,x27442),x27442)),f3(x27442,x27443)))),
% 184.18/184.17 inference(scs_inference,[],[19,2743,2688,2642,2723,2,15,3])).
% 184.18/184.17 cnf(2753,plain,
% 184.18/184.17 (E(f1(f3(x27531,f2(f2(x27532,x27533),x27533)),f3(x27533,x27532)),f3(f1(x27531,x27533),f2(f2(x27532,x27533),x27533)))),
% 184.18/184.17 inference(scs_inference,[],[2744,2])).
% 184.18/184.17 cnf(2756,plain,
% 184.18/184.17 (E(f1(f3(x27561,x27562),f3(x27563,f2(f2(x27562,x27563),x27563))),f3(f1(x27561,x27563),x27562))),
% 184.18/184.17 inference(scs_inference,[],[19,2744,2631,2742,2,14,27])).
% 184.18/184.17 cnf(2759,plain,
% 184.18/184.17 (P1(f5(f1(f3(x27591,f2(f2(x27592,x27591),x27591)),f3(x27593,x27592)),f2(f2(x27594,x27595),f1(x27596,x27597))),f5(f3(f1(x27593,x27591),x27592),f2(f2(x27595,x27594),f1(x27597,x27596))))),
% 184.18/184.17 inference(scs_inference,[],[19,2744,2631,2628,2346,2742,2,14,27,15])).
% 184.18/184.17 cnf(2762,plain,
% 184.18/184.17 (~E(f1(f3(a4,a7),f3(a7,a4)),f3(f1(a4,a7),f2(f2(f2(f2(a4,a7),f1(a4,a7)),f1(a4,a7)),f1(a4,a7))))),
% 184.18/184.17 inference(scs_inference,[],[19,2744,1911,632,2631,2628,2346,2742,2,14,27,15,3])).
% 184.18/184.17 cnf(2768,plain,
% 184.18/184.17 (~E(f3(f1(a4,a7),f2(f1(a4,a7),f2(f2(f2(a4,a7),f1(a4,a7)),f1(a4,a7)))),f1(f3(a4,f2(f2(a7,a4),a4)),f3(a7,a4)))),
% 184.18/184.17 inference(scs_inference,[],[2741,625,2762,2,3])).
% 184.18/184.17 cnf(2818,plain,
% 184.18/184.17 (P1(f1(f3(x28181,f2(f2(x28182,x28183),x28183)),f3(x28183,x28182)),f3(f1(x28181,x28183),f2(f2(x28182,x28183),x28183)))),
% 184.18/184.17 inference(scs_inference,[],[2753,26])).
% 184.18/184.17 cnf(2820,plain,
% 184.18/184.17 (E(f3(f1(x28201,x28202),x28203),f1(f3(x28201,x28203),f3(x28202,f2(f2(x28203,x28202),x28202))))),
% 184.18/184.17 inference(scs_inference,[],[2756,2753,26,2])).
% 184.18/184.17 cnf(2823,plain,
% 184.18/184.17 (E(f3(f1(x28231,x28232),f2(f2(f1(x28231,x28232),f2(f2(x28233,x28232),x28232)),f1(x28231,x28232))),f1(f3(x28231,f2(f2(x28233,x28232),x28232)),f3(x28232,x28233)))),
% 184.18/184.17 inference(scs_inference,[],[19,2756,2753,2744,384,2691,26,2,15,3])).
% 184.18/184.17 cnf(2845,plain,
% 184.18/184.17 (~E(f1(f3(a4,f2(f2(a7,a4),a4)),f3(a7,a4)),f3(f1(a4,a7),f2(f1(a4,a7),f2(f2(f2(a4,a7),f1(a4,a7)),f1(a4,a7)))))),
% 184.18/184.17 inference(scs_inference,[],[2768,2])).
% 184.18/184.17 cnf(2846,plain,
% 184.18/184.17 (P1(f3(f1(x28461,x28462),f2(f2(f2(f2(x28463,x28462),x28462),f1(x28461,x28462)),f1(x28461,x28462))),f1(f3(x28461,f2(f2(x28463,x28462),x28462)),f3(x28462,x28463)))),
% 184.18/184.17 inference(scs_inference,[],[2823,2379,2768,2,15])).
% 184.18/184.17 cnf(2848,plain,
% 184.18/184.17 (~E(f1(f3(a4,a7),f3(a7,a4)),f1(f3(a4,f2(a7,a4)),f3(a7,f2(f2(f2(a7,a4),a7),a7))))),
% 184.18/184.17 inference(scs_inference,[],[2823,2756,188,2379,2768,2,15,3])).
% 184.18/184.17 cnf(2852,plain,
% 184.18/184.17 (P1(f3(f1(x28521,x28522),f2(f2(f1(x28521,x28522),f2(f2(x28523,x28522),x28522)),f1(x28521,x28522))),f1(f3(x28521,f2(f2(x28523,x28522),x28522)),f3(x28522,x28523)))),
% 184.18/184.17 inference(scs_inference,[],[2823,2756,188,2379,2759,2768,2,15,3,27,26])).
% 184.18/184.17 cnf(2857,plain,
% 184.18/184.17 (E(f1(f3(x28571,f2(f2(x28572,x28573),x28573)),f3(x28573,x28572)),f3(f1(x28571,x28573),f2(f2(f1(x28571,x28573),f2(f2(x28572,x28573),x28573)),f1(x28571,x28573))))),
% 184.18/184.17 inference(scs_inference,[],[2823,2])).
% 184.18/184.17 cnf(2858,plain,
% 184.18/184.17 (~E(f1(f3(a4,f2(a4,a7)),f3(a7,f2(f2(f2(a4,a7),a7),a7))),f1(f3(a4,a7),f3(a7,a4)))),
% 184.18/184.17 inference(scs_inference,[],[24,2820,2823,2,3])).
% 184.18/184.17 cnf(2918,plain,
% 184.18/184.17 (E(f1(x29181,x29182),f1(x29182,x29181))),
% 184.18/184.17 inference(rename_variables,[],[19])).
% 184.18/184.17 cnf(2919,plain,
% 184.18/184.17 (E(f3(f1(x29191,x29192),f2(f2(f1(x29191,x29192),f2(f2(x29193,x29192),x29192)),f1(x29191,x29192))),f1(f3(x29192,x29193),f3(x29191,f2(f2(x29193,x29192),x29192))))),
% 184.18/184.17 inference(scs_inference,[],[19,2918,2857,2823,2846,2717,26,2,15,3])).
% 184.18/184.17 cnf(2921,plain,
% 184.18/184.17 (P1(f2(f1(x29211,x29212),f2(f1(x29213,x29214),f2(x29215,x29216))),f2(f1(x29211,x29212),f2(f2(x29216,x29215),f1(x29214,x29213))))),
% 184.18/184.17 inference(scs_inference,[],[19,2918,2857,2823,316,2846,2637,2717,26,2,15,3,14])).
% 184.18/184.17 cnf(2927,plain,
% 184.18/184.17 (E(f1(f3(x29271,x29272),f3(x29273,f2(f2(x29272,x29271),x29271))),f3(f1(x29273,x29271),f2(f2(f1(x29273,x29271),f2(f2(x29272,x29271),x29271)),f1(x29273,x29271))))),
% 184.18/184.17 inference(scs_inference,[],[2919,2])).
% 184.18/184.17 cnf(2930,plain,
% 184.18/184.17 (~E(f1(f3(a4,f2(f2(a7,a4),a4)),f3(a7,a4)),f3(f1(a4,a7),f2(f2(f1(a4,a7),f2(f2(f2(a4,a7),f1(a4,a7)),f1(a4,a7))),f1(a4,a7))))),
% 184.18/184.17 inference(scs_inference,[],[19,2919,2845,461,2852,2,15,3])).
% 184.18/184.17 cnf(2948,plain,
% 184.18/184.17 (~E(f1(f3(a7,a4),f3(a4,a7)),f1(f3(a7,f2(f2(f2(a4,a7),a7),a7)),f3(a4,f2(a4,a7))))),
% 184.18/184.17 inference(scs_inference,[],[19,2716,2930,2,3])).
% 184.18/184.17 cnf(3002,plain,
% 184.18/184.17 (E(f3(f1(x30021,x30021),x30022),f3(f1(x30021,x30021),f2(f2(f1(x30021,x30021),f2(f2(x30022,x30021),x30021)),f1(x30021,x30021))))),
% 184.18/184.17 inference(scs_inference,[],[2927,2820,2725,2,3])).
% 184.18/184.17 cnf(3005,plain,
% 184.18/184.17 (P1(f2(f1(x30051,x30052),f2(f1(x30053,x30054),f2(x30055,x30056))),f2(f2(f2(x30056,x30055),f1(x30054,x30053)),f1(x30051,x30052)))),
% 184.18/184.17 inference(scs_inference,[],[20,2927,2820,2921,2725,2,3,15])).
% 184.18/184.17 cnf(3013,plain,
% 184.18/184.17 (P1(f2(f1(x30131,x30132),f2(f1(x30133,x30134),f2(x30135,x30136))),f2(f1(x30132,x30131),f2(f2(x30136,x30135),f1(x30134,x30133))))),
% 184.18/184.17 inference(scs_inference,[],[20,2858,2332,2,15])).
% 184.18/184.17 cnf(3015,plain,
% 184.18/184.17 (~E(f1(f3(a4,f2(f2(a7,a4),a4)),f3(a7,a4)),f3(f1(a4,a7),f2(f2(f2(f2(f2(a4,a7),f1(a4,a7)),f1(a4,a7)),f1(a4,a7)),f1(a4,a7))))),
% 184.18/184.17 inference(scs_inference,[],[20,2398,2858,2332,2930,2,15,3])).
% 184.18/184.17 cnf(3026,plain,
% 184.18/184.17 (E(f3(f1(x30261,x30261),f2(f2(f1(x30261,x30261),f2(f2(x30262,x30261),x30261)),f1(x30261,x30261))),f3(f1(x30261,x30261),x30262))),
% 184.18/184.17 inference(scs_inference,[],[3002,2])).
% 184.18/184.17 cnf(3027,plain,
% 184.18/184.17 (~E(f1(f3(a4,a7),f3(a7,a4)),f3(f1(a4,a7),f2(f1(a4,a7),f2(f2(f2(a4,a7),f1(a4,a7)),f1(a4,a7)))))),
% 184.18/184.17 inference(scs_inference,[],[3002,2845,2329,2,3])).
% 184.18/184.17 cnf(3029,plain,
% 184.18/184.17 (P1(f2(f2(f1(x30291,x30292),f2(x30293,x30294)),f1(x30295,x30296)),f2(f2(f2(x30294,x30293),f1(x30292,x30291)),f1(x30295,x30296)))),
% 184.18/184.17 inference(scs_inference,[],[20,3002,2845,2329,3005,2,3,14])).
% 184.18/184.17 cnf(3045,plain,
% 184.18/184.17 (~E(f3(f1(a4,a7),f2(f1(a4,a7),f2(f2(f2(a4,a7),f1(a4,a7)),f1(a4,a7)))),f1(f3(a4,a7),f3(a7,a4)))),
% 184.18/184.17 inference(scs_inference,[],[3027,2])).
% 184.18/184.17 cnf(3046,plain,
% 184.18/184.17 (E(f3(f1(x30461,x30461),f2(f2(x30462,x30461),x30461)),f3(f1(x30461,x30461),x30462))),
% 184.18/184.17 inference(scs_inference,[],[3026,376,3027,2,3])).
% 184.18/184.17 cnf(3052,plain,
% 184.18/184.17 (E(f3(f1(x30521,x30521),x30522),f3(f1(x30521,x30521),f2(f2(x30522,x30521),x30521)))),
% 184.18/184.17 inference(scs_inference,[],[3046,2])).
% 184.18/184.17 cnf(3053,plain,
% 184.18/184.17 (E(f3(f1(x30531,x30531),f2(f2(x30532,x30531),x30531)),f1(f3(x30531,x30532),f3(x30531,x30532)))),
% 184.18/184.17 inference(scs_inference,[],[3046,87,2,3])).
% 184.18/184.17 cnf(3062,plain,
% 184.18/184.17 (~E(f1(f3(a7,f2(a7,a4)),f3(a4,f2(f2(f2(a7,a4),a4),a4))),f1(f3(a4,a7),f3(a7,a4)))),
% 184.18/184.17 inference(scs_inference,[],[154,2820,3015,2,3])).
% 184.18/184.17 cnf(3064,plain,
% 184.18/184.17 (P1(f2(f2(f1(x30641,x30642),f2(x30643,x30644)),f1(x30645,x30646)),f2(f1(x30645,x30646),f2(f2(x30644,x30643),f1(x30642,x30641))))),
% 184.18/184.17 inference(scs_inference,[],[20,154,2820,3029,3015,2,3,15])).
% 184.18/184.17 cnf(3075,plain,
% 184.18/184.17 (E(f1(f3(x30751,x30752),f3(x30751,x30752)),f3(f1(x30751,x30751),f2(f2(x30752,x30751),x30751)))),
% 184.18/184.17 inference(scs_inference,[],[3053,26,2])).
% 184.18/184.17 cnf(3076,plain,
% 184.18/184.17 (P1(f1(f3(x30761,f2(f2(x30762,x30761),x30761)),f3(x30761,x30762)),f1(f3(x30761,x30762),f3(x30761,x30762)))),
% 184.18/184.17 inference(scs_inference,[],[3053,2818,26,2,15])).
% 184.18/184.17 cnf(3078,plain,
% 184.18/184.17 (E(f1(f3(x30781,x30782),f3(x30781,f2(f2(x30782,x30781),x30781))),f1(f3(x30781,x30782),f3(x30781,x30782)))),
% 184.18/184.17 inference(scs_inference,[],[3053,2722,2818,26,2,15,3])).
% 184.18/184.17 cnf(3098,plain,
% 184.18/184.17 (E(f3(f1(x30981,x30981),f2(f2(f1(x30981,x30981),f2(f2(x30982,x30981),x30981)),f1(x30981,x30981))),f1(f3(x30981,x30982),f3(x30981,x30982)))),
% 184.18/184.17 inference(scs_inference,[],[3078,2919,2848,2,3])).
% 184.18/184.17 cnf(3103,plain,
% 184.18/184.17 (E(f1(f3(x31031,x31032),f3(x31031,x31032)),f3(f1(x31031,x31031),f2(f2(f1(x31031,x31031),f2(f2(x31032,x31031),x31031)),f1(x31031,x31031))))),
% 184.18/184.17 inference(scs_inference,[],[3098,2])).
% 184.18/184.17 cnf(3104,plain,
% 184.18/184.17 (~E(f3(f1(a4,a7),f2(f2(f1(a4,a7),f2(f1(a4,a7),f2(f2(a4,a7),f1(a4,a7)))),f1(a4,a7))),f1(f3(a4,a7),f3(a7,a4)))),
% 184.18/184.17 inference(scs_inference,[],[3098,2636,2398,2,3])).
% 184.18/184.17 cnf(3113,plain,
% 184.18/184.17 (P1(f1(f3(x31131,x31132),f3(x31131,x31132)),f3(f1(x31131,x31131),f2(f2(f1(x31131,x31131),f2(f2(x31132,x31131),x31131)),f1(x31131,x31131))))),
% 184.18/184.17 inference(scs_inference,[],[3103,26])).
% 184.18/184.17 cnf(3116,plain,
% 184.18/184.17 (E(f3(f1(x31161,x31161),f2(f1(x31161,x31161),x31162)),f3(f1(x31161,x31161),f2(f2(x31162,x31161),x31161)))),
% 184.18/184.17 inference(scs_inference,[],[21,3103,3052,3104,26,2,3])).
% 184.18/184.17 cnf(3118,plain,
% 184.18/184.17 (P1(f3(f1(x31181,x31181),f2(f2(f1(x31181,x31181),f2(f2(x31182,x31181),x31181)),f1(x31181,x31181))),f1(f3(x31181,x31182),f3(x31181,x31182)))),
% 184.18/184.17 inference(scs_inference,[],[21,3103,3052,2857,3076,3104,26,2,3,14])).
% 184.18/184.17 cnf(3124,plain,
% 184.18/184.17 (E(f3(f1(x31241,x31241),f2(f2(x31242,x31241),x31241)),f3(f1(x31241,x31241),f2(f1(x31241,x31241),x31242)))),
% 184.18/184.17 inference(scs_inference,[],[3116,2])).
% 184.18/184.17 cnf(3125,plain,
% 184.18/184.17 (E(f3(f1(x31251,x31251),f2(f1(x31251,x31251),f2(f1(x31251,x31251),x31252))),f3(f1(x31251,x31251),f2(f2(x31252,x31251),x31251)))),
% 184.18/184.17 inference(scs_inference,[],[21,3116,2,3])).
% 184.18/184.17 cnf(3126,plain,
% 184.18/184.17 (E(f3(x31261,f2(x31261,x31262)),f3(x31261,x31262))),
% 184.18/184.17 inference(rename_variables,[],[21])).
% 184.18/184.17 cnf(3127,plain,
% 184.18/184.17 (E(f1(f3(x31271,f2(x31271,x31272)),x31273),f1(f3(x31271,x31272),x31273))),
% 184.18/184.17 inference(scs_inference,[],[21,3126,3116,2,3,4])).
% 184.18/184.17 cnf(3132,plain,
% 184.18/184.17 (E(f5(f3(x31321,f2(x31321,x31322)),x31323),f5(f3(x31321,x31322),x31323))),
% 184.18/184.17 inference(scs_inference,[],[21,3126,3116,2,3,4,8,11,12,9,10])).
% 184.18/184.17 cnf(3133,plain,
% 184.18/184.17 (E(f3(x31331,f3(x31332,f2(x31332,x31333))),f3(x31331,f3(x31332,x31333)))),
% 184.18/184.17 inference(scs_inference,[],[21,3126,3116,2,3,4,8,11,12,9,10,13])).
% 184.18/184.17 cnf(3134,plain,
% 184.18/184.17 (E(f1(x31341,f3(x31342,f2(x31342,x31343))),f1(x31341,f3(x31342,x31343)))),
% 184.18/184.17 inference(scs_inference,[],[21,3126,3116,2,3,4,8,11,12,9,10,13,5])).
% 184.18/184.17 cnf(3136,plain,
% 184.18/184.17 (E(f6(x31361,f3(x31362,f2(x31362,x31363))),f6(x31361,f3(x31362,x31363)))),
% 184.18/184.17 inference(scs_inference,[],[21,3126,3116,2,3,4,8,11,12,9,10,13,5,6,7])).
% 184.18/184.17 cnf(3148,plain,
% 184.18/184.17 (~E(f1(f3(a7,f2(f2(f2(a4,a7),a7),a7)),f3(a4,f2(a4,a7))),f1(f3(a7,a4),f3(a4,a7)))),
% 184.18/184.17 inference(scs_inference,[],[3125,2948,26,2])).
% 184.18/184.17 cnf(3149,plain,
% 184.18/184.17 (P1(f2(f1(x31491,x31492),f2(f1(x31493,x31494),f2(x31495,x31496))),f2(f2(f1(x31494,x31493),f2(x31496,x31495)),f1(x31491,x31492)))),
% 184.18/184.17 inference(scs_inference,[],[3125,313,3013,2948,26,2,15])).
% 184.18/184.17 cnf(3152,plain,
% 184.18/184.17 (~E(f3(f1(a4,a7),f2(f2(f2(a4,a7),f1(a4,a7)),f1(a4,a7))),f1(f3(a4,a7),f3(a7,a4)))),
% 184.18/184.17 inference(scs_inference,[],[21,3125,3045,313,3013,2948,26,2,15,3])).
% 184.18/184.17 cnf(3279,plain,
% 184.18/184.17 (E(f3(f1(x32791,x32791),f2(f2(x32792,x32791),x32791)),f3(f1(x32791,x32791),f2(f1(x32791,x32791),f2(f1(x32791,x32791),x32792))))),
% 184.18/184.17 inference(scs_inference,[],[3125,2])).
% 184.18/184.17 cnf(3280,plain,
% 184.18/184.17 (E(f3(f1(x32801,x32801),f2(f1(x32801,x32801),f2(f2(x32802,x32801),x32801))),f3(f1(x32801,x32801),f2(f1(x32801,x32801),x32802)))),
% 184.18/184.17 inference(scs_inference,[],[21,3124,3125,2,3])).
% 184.18/184.17 cnf(3286,plain,
% 184.18/184.17 (P1(f3(f1(x32861,x32861),f2(f1(x32861,x32861),f2(f2(x32862,x32861),x32861))),f3(f1(x32861,x32861),f2(f1(x32861,x32861),x32862)))),
% 184.18/184.17 inference(scs_inference,[],[3280,26])).
% 184.18/184.17 cnf(3288,plain,
% 184.18/184.17 (~E(f1(f3(a4,a7),f3(a7,a4)),f3(f1(a4,a7),f2(f2(f2(a4,a7),f1(a4,a7)),f1(a4,a7))))),
% 184.18/184.17 inference(scs_inference,[],[3280,3152,26,2])).
% 184.18/184.17 cnf(3289,plain,
% 184.18/184.17 (E(f3(f1(x32891,x32891),f2(f1(x32891,x32891),f2(f2(x32892,x32891),x32891))),f3(f1(x32891,x32891),f2(f1(x32891,x32891),f2(f1(x32891,x32891),x32892))))),
% 184.18/184.17 inference(scs_inference,[],[21,3280,3279,3152,26,2,3])).
% 184.18/184.17 cnf(3295,plain,
% 184.18/184.17 (E(f3(f1(x32951,x32951),f2(f1(x32951,x32951),f2(f1(x32951,x32951),x32952))),f3(f1(x32951,x32951),f2(f1(x32951,x32951),f2(f2(x32952,x32951),x32951))))),
% 184.18/184.17 inference(scs_inference,[],[3289,2])).
% 184.18/184.17 cnf(3296,plain,
% 184.18/184.17 (~E(f1(f3(a4,a7),f3(a7,f2(f2(a4,a7),a7))),f3(f1(a4,a7),f2(f2(f2(a4,a7),f1(a4,a7)),f1(a4,a7))))),
% 184.18/184.17 inference(scs_inference,[],[3288,3289,2339,2,3])).
% 184.18/184.17 cnf(3308,plain,
% 184.18/184.17 (P1(f2(f2(f1(x33081,x33082),f2(x33083,x33084)),f1(x33085,x33086)),f2(f2(f1(x33082,x33081),f2(x33084,x33083)),f1(x33086,x33085)))),
% 184.18/184.17 inference(scs_inference,[],[3075,3288,3289,348,3149,2339,2,3,8,4,11,12,9,10,13,5,6,7,14])).
% 184.18/184.17 cnf(3349,plain,
% 184.18/184.17 (~E(f3(f1(a4,a7),f2(f2(f2(a4,a7),f1(a4,a7)),f1(a4,a7))),f1(f3(a4,a7),f3(a7,f2(f2(a4,a7),a7))))),
% 184.18/184.17 inference(scs_inference,[],[3296,2])).
% 184.18/184.17 cnf(3350,plain,
% 184.18/184.17 (P1(f3(f1(x33501,x33501),f2(f1(x33501,x33501),f2(f2(x33502,x33501),x33501))),f3(f1(x33501,x33501),x33502))),
% 184.18/184.17 inference(scs_inference,[],[21,3286,3296,2,15])).
% 184.18/184.17 cnf(3351,plain,
% 184.18/184.17 (E(f3(x33511,f2(x33511,x33512)),f3(x33511,x33512))),
% 184.18/184.17 inference(rename_variables,[],[21])).
% 184.18/184.17 cnf(3352,plain,
% 184.18/184.17 (E(f3(f1(x33521,x33521),f2(f1(x33521,x33521),f2(f2(x33522,x33521),x33521))),f3(f1(x33521,x33521),x33522))),
% 184.18/184.17 inference(scs_inference,[],[21,3351,3280,3286,3296,2,15,3])).
% 184.18/184.17 cnf(3354,plain,
% 184.18/184.17 (E(f3(x33541,f2(x33541,x33542)),f3(x33541,x33542))),
% 184.18/184.17 inference(rename_variables,[],[21])).
% 184.18/184.17 cnf(3355,plain,
% 184.18/184.17 (P1(f3(f1(x33551,x33551),f2(f2(x33552,x33551),x33551)),f3(f1(x33551,x33551),f2(f1(x33551,x33551),x33552)))),
% 184.18/184.17 inference(scs_inference,[],[21,3351,3354,3280,3286,3296,2,15,3,14])).
% 184.18/184.17 cnf(3365,plain,
% 184.18/184.17 (E(f3(f1(x33651,x33651),x33652),f3(f1(x33651,x33651),f2(f1(x33651,x33651),f2(f2(x33652,x33651),x33651))))),
% 184.18/184.17 inference(scs_inference,[],[3352,3295,26,2])).
% 184.18/184.17 cnf(3369,plain,
% 184.18/184.17 (E(f3(f1(x33691,x33691),f2(f1(x33691,x33691),f2(f1(x33691,x33691),f2(f2(x33692,x33691),x33691)))),f3(f1(x33691,x33691),x33692))),
% 184.18/184.17 inference(scs_inference,[],[21,3352,3295,3136,317,26,2,15,3])).
% 184.18/184.17 cnf(3376,plain,
% 184.18/184.17 (~E(f1(f3(a7,f2(a4,a7)),f3(a4,f2(a4,a7))),f1(f3(a7,a4),f3(a4,a7)))),
% 184.18/184.17 inference(scs_inference,[],[3148,2329,3062,2,3])).
% 184.18/184.17 cnf(3380,plain,
% 184.18/184.17 (P1(f2(f2(f1(x33801,x33802),f2(x33803,x33804)),f1(x33805,x33806)),f2(f2(f1(x33802,x33801),f2(x33804,x33803)),f1(x33805,x33806)))),
% 184.18/184.17 inference(scs_inference,[],[3349,3148,552,2329,3062,3064,2,3,27,15])).
% 184.18/184.17 cnf(3386,plain,
% 184.18/184.17 (E(f3(f1(x33861,x33861),f2(f1(x33861,x33861),x33862)),f3(f1(x33861,x33861),f2(f1(x33861,x33861),f2(f2(x33862,x33861),x33861))))),
% 184.18/184.17 inference(scs_inference,[],[3369,3280,26,2])).
% 184.18/184.17 cnf(3389,plain,
% 184.18/184.17 (E(f2(f2(x33891,x33892),f1(x33893,x33894)),f2(f1(x33893,x33894),f2(x33892,x33891)))),
% 184.18/184.17 inference(rename_variables,[],[548])).
% 184.18/184.17 cnf(3390,plain,
% 184.18/184.17 (P1(f2(f1(x33901,x33902),f2(f2(x33903,x33904),f1(x33905,x33906))),f2(f2(f1(x33906,x33905),f2(x33904,x33903)),f1(x33901,x33902)))),
% 184.18/184.17 inference(scs_inference,[],[3369,3280,548,3389,3380,3308,26,2,15,14])).
% 184.18/184.17 cnf(3393,plain,
% 184.18/184.17 (E(f3(f1(x33931,x33931),f2(f2(f2(f2(x33932,x33931),x33931),x33931),x33931)),f3(f1(x33931,x33931),x33932))),
% 184.18/184.17 inference(scs_inference,[],[3369,3279,3280,548,3389,3380,3308,26,2,15,14,3])).
% 184.18/184.17 cnf(3395,plain,
% 184.18/184.17 (E(f2(f2(f1(x33951,x33952),f2(x33953,x33954)),f1(x33955,x33956)),f2(f1(x33955,x33956),f2(f2(x33954,x33953),f1(x33952,x33951))))),
% 184.18/184.17 inference(scs_inference,[],[3369,3279,3280,548,3389,3380,3308,3064,26,2,15,14,3,27])).
% 184.18/184.17 cnf(3409,plain,
% 184.18/184.17 (~E(f1(f3(a7,a4),f3(a4,a7)),f1(f3(a7,f2(a4,a7)),f3(a4,f2(a4,a7))))),
% 184.18/184.17 inference(scs_inference,[],[3376,2])).
% 184.18/184.17 cnf(3412,plain,
% 184.18/184.17 (E(f2(f1(x34121,x34122),f2(f2(x34123,x34124),f1(x34125,x34126))),f2(f1(x34122,x34121),f2(f2(x34124,x34123),f1(x34126,x34125))))),
% 184.18/184.17 inference(scs_inference,[],[22,3395,313,3376,3113,2,14,3])).
% 184.18/184.17 cnf(3419,plain,
% 184.18/184.17 (E(f3(f1(x34191,x34191),x34192),f3(f1(x34191,x34191),f2(f2(f2(f2(x34192,x34191),x34191),x34191),x34191)))),
% 184.18/184.17 inference(scs_inference,[],[3393,2])).
% 184.18/184.17 cnf(3420,plain,
% 184.18/184.17 (~E(f1(f3(a7,a4),f3(a4,f2(f2(a7,a4),a4))),f1(f3(a7,f2(a4,a7)),f3(a4,f2(a4,a7))))),
% 184.18/184.17 inference(scs_inference,[],[3393,3409,2339,2,3])).
% 184.18/184.17 cnf(3450,plain,
% 184.18/184.17 (~E(f1(f3(a7,f2(a4,a7)),f3(a4,f2(a4,a7))),f1(f3(a7,a4),f3(a4,f2(f2(a7,a4),a4))))),
% 184.18/184.17 inference(scs_inference,[],[3420,2])).
% 184.18/184.17 cnf(3451,plain,
% 184.18/184.17 (E(f3(f1(x34511,x34511),f2(f2(f2(f1(x34511,x34511),x34512),f1(x34511,x34511)),f1(x34511,x34511))),f3(f1(x34511,x34511),f2(f1(x34511,x34511),f2(f2(x34512,x34511),x34511))))),
% 184.18/184.17 inference(scs_inference,[],[3386,632,3420,2,3])).
% 184.18/184.17 cnf(3453,plain,
% 184.18/184.17 (E(f2(f1(x34531,x34532),f2(f2(x34533,x34534),f1(x34535,x34536))),f2(f2(f1(x34536,x34535),f2(x34534,x34533)),f1(x34531,x34532)))),
% 184.18/184.17 inference(scs_inference,[],[3386,632,3420,3390,3064,2,3,27])).
% 184.18/184.17 cnf(3482,plain,
% 184.18/184.17 (E(f3(f1(x34821,x34821),f2(f1(x34821,x34821),f2(f2(x34822,x34821),x34821))),f3(f1(x34821,x34821),f2(f2(f2(f1(x34821,x34821),x34822),f1(x34821,x34821)),f1(x34821,x34821))))),
% 184.18/184.17 inference(scs_inference,[],[3451,2])).
% 184.18/184.17 cnf(3483,plain,
% 184.18/184.17 (E(f1(f3(x34831,x34832),f3(x34831,x34832)),f3(f1(x34831,x34831),f2(f1(x34831,x34831),f2(f2(x34832,x34831),x34831))))),
% 184.18/184.17 inference(scs_inference,[],[22,3451,3365,2,3])).
% 184.18/184.17 cnf(3496,plain,
% 184.18/184.17 (P1(f2(f1(x34961,x34962),f2(f2(x34963,x34964),f1(x34965,x34966))),f2(f1(x34962,x34961),f2(f2(x34964,x34963),f1(x34966,x34965))))),
% 184.18/184.17 inference(scs_inference,[],[22,3453,3412,3451,3365,2,3,4,8,11,5,7,9,10,12,13,6,26])).
% 184.18/184.17 cnf(3597,plain,
% 184.18/184.17 (P1(f5(f3(x35971,f2(x35971,x35972)),f2(f2(x35973,x35974),f1(x35975,x35976))),f5(f3(x35971,x35972),f2(f2(x35974,x35973),f1(x35976,x35975))))),
% 184.18/184.17 inference(scs_inference,[],[3132,2346,15])).
% 184.18/184.17 cnf(3600,plain,
% 184.18/184.17 (P1(f3(f1(x36001,x36001),f2(f2(f2(f1(x36001,x36001),x36002),f1(x36001,x36001)),f1(x36001,x36001))),f3(f1(x36001,x36001),x36002))),
% 184.18/184.17 inference(scs_inference,[],[3482,3132,3350,2346,15,14])).
% 184.18/184.17 cnf(3604,plain,
% 184.18/184.17 (~E(f1(f3(a7,a4),f3(a4,f2(f2(a7,a4),a4))),f3(f1(a7,a4),f2(a4,a7)))),
% 184.18/184.17 inference(scs_inference,[],[22,3482,3450,3132,3350,2346,15,14,3,2])).
% 184.18/184.17 cnf(3607,plain,
% 184.18/184.17 (E(f3(f1(x36071,x36071),f2(f1(x36071,x36071),f2(f2(x36072,x36071),x36071))),f1(f3(x36071,x36072),f3(x36071,x36072)))),
% 184.18/184.17 inference(scs_inference,[],[3483,2])).
% 184.18/184.17 cnf(3608,plain,
% 184.18/184.17 (E(f1(f3(x36081,x36082),f3(x36081,x36082)),f3(f1(x36081,x36081),f2(f2(f2(f2(x36082,x36081),x36081),x36081),x36081)))),
% 184.18/184.17 inference(scs_inference,[],[22,3483,3419,2,3])).
% 184.18/184.17 cnf(3621,plain,
% 184.18/184.17 (P1(f3(f1(x36211,x36211),x36212),f3(f1(x36211,x36211),f2(f1(x36211,x36211),f2(f2(x36212,x36211),x36211))))),
% 184.18/184.17 inference(scs_inference,[],[3607,3393,3355,26,14])).
% 184.18/184.17 cnf(3634,plain,
% 184.18/184.17 (~E(f1(f3(a7,f2(f2(a4,a7),a7)),f3(a4,f2(f2(a7,a4),a4))),f3(f1(a7,a4),f2(a4,a7)))),
% 184.18/184.17 inference(scs_inference,[],[3604,3597,2345,2328,14,3])).
% 184.18/184.17 cnf(3652,plain,
% 184.18/184.17 (~E(f3(f1(a7,a4),f2(a4,a7)),f1(f3(a7,f2(f2(a4,a7),a7)),f3(a4,f2(f2(a7,a4),a4))))),
% 184.18/184.17 inference(scs_inference,[],[3634,2])).
% 184.18/184.17 cnf(3653,plain,
% 184.18/184.17 (P1(f3(f1(x36531,x36531),x36532),f3(f1(x36531,x36531),f2(f2(f2(f1(x36531,x36531),x36532),f1(x36531,x36531)),f1(x36531,x36531))))),
% 184.18/184.17 inference(scs_inference,[],[3482,3621,3634,2,15])).
% 184.18/184.17 cnf(3655,plain,
% 184.18/184.17 (E(f3(f1(x36551,x36551),f2(f2(f1(x36551,x36551),f2(f2(x36552,x36551),x36551)),f1(x36551,x36551))),f3(f1(x36551,x36551),f2(f1(x36551,x36551),x36552)))),
% 184.18/184.17 inference(scs_inference,[],[42,3482,3026,3621,3634,2,15,3])).
% 184.18/184.17 cnf(3658,plain,
% 184.18/184.17 (E(f3(f1(x36581,x36581),x36582),f3(f1(x36581,x36581),f2(f2(f2(f1(x36581,x36581),x36582),f1(x36581,x36581)),f1(x36581,x36581))))),
% 184.18/184.17 inference(scs_inference,[],[42,3482,3026,3621,3634,3600,2,15,3,27])).
% 184.18/184.17 cnf(3667,plain,
% 184.18/184.17 (P1(f3(f1(x36671,x36671),x36672),f3(f1(x36671,x36671),f2(f1(x36671,x36671),f2(f2(f2(f1(x36671,x36671),x36672),f1(x36671,x36671)),f1(x36671,x36671)))))),
% 184.18/184.17 inference(scs_inference,[],[42,3655,3653,2,15])).
% 184.18/184.17 cnf(3668,plain,
% 184.18/184.17 (E(f3(x36681,x36682),f3(x36681,f2(x36681,x36682)))),
% 184.18/184.17 inference(rename_variables,[],[42])).
% 184.18/184.17 cnf(3669,plain,
% 184.18/184.17 (E(f3(f1(x36691,x36691),x36692),f3(f1(x36691,x36691),f2(f2(f2(f1(x36691,x36691),f2(f1(x36691,x36691),x36692)),f1(x36691,x36691)),f1(x36691,x36691))))),
% 184.18/184.17 inference(scs_inference,[],[42,3668,3655,3658,3653,2,15,3])).
% 184.18/184.17 cnf(3672,plain,
% 184.18/184.17 (E(f3(f1(x36721,x36721),f2(f2(f2(f1(x36721,x36721),x36722),f1(x36721,x36721)),f1(x36721,x36721))),f3(f1(x36721,x36721),x36722))),
% 184.18/184.17 inference(scs_inference,[],[42,3668,3655,3658,3653,3600,2,15,3,27])).
% 184.18/184.17 cnf(3677,plain,
% 184.18/184.17 (~E(f1(f3(a4,a7),f3(a7,a4)),f3(f1(a4,a7),f2(f1(a4,a7),f2(a4,a7))))),
% 184.18/184.17 inference(scs_inference,[],[42,24,3,2])).
% 184.18/184.17 cnf(3680,plain,
% 184.18/184.17 (P1(f2(f1(x36801,x36802),f2(f2(x36803,x36804),f1(x36805,x36806))),f2(f2(f2(x36804,x36803),f1(x36806,x36805)),f1(x36801,x36802)))),
% 184.18/184.17 inference(scs_inference,[],[42,24,3652,348,3496,3,2,27,15])).
% 184.18/184.17 cnf(3689,plain,
% 184.18/184.17 (E(f3(f1(x36891,x36891),f2(f2(f2(f1(x36891,x36891),f2(f1(x36891,x36891),x36892)),f1(x36891,x36891)),f1(x36891,x36891))),f3(f1(x36891,x36891),x36892))),
% 184.18/184.17 inference(scs_inference,[],[3669,2])).
% 184.18/184.17 cnf(3690,plain,
% 184.18/184.17 (P1(f2(f1(x36901,x36902),f2(f2(x36903,x36904),f1(x36905,x36906))),f2(f1(x36901,x36902),f2(f1(x36906,x36905),f2(x36904,x36903))))),
% 184.18/184.17 inference(scs_inference,[],[3669,548,3680,2,15])).
% 184.18/184.17 cnf(3691,plain,
% 184.18/184.17 (P1(f2(f1(x36911,x36912),f2(f2(x36913,x36914),f1(x36915,x36916))),f2(f2(f2(x36914,x36913),f1(x36916,x36915)),f1(x36911,x36912)))),
% 184.18/184.17 inference(rename_variables,[],[3680])).
% 184.18/184.17 cnf(3695,plain,
% 184.18/184.17 (E(f3(x36951,x36952),f3(x36951,f2(x36951,x36952)))),
% 184.18/184.17 inference(rename_variables,[],[42])).
% 184.18/184.17 cnf(3696,plain,
% 184.18/184.17 (E(f3(f1(x36961,x36961),f2(f2(f1(x36961,x36961),f2(f2(x36962,x36961),x36961)),f1(x36961,x36961))),f3(f1(x36961,x36961),f2(f1(x36961,x36961),f2(f1(x36961,x36961),x36962))))),
% 184.18/184.17 inference(scs_inference,[],[42,3695,3669,3655,548,3680,3667,2,15,14,3])).
% 184.18/184.17 cnf(3697,plain,
% 184.18/184.17 (E(f3(x36971,x36972),f3(x36971,f2(x36971,x36972)))),
% 184.18/184.17 inference(rename_variables,[],[42])).
% 184.18/184.17 cnf(3702,plain,
% 184.18/184.17 (E(f1(f3(x37021,x37022),x37023),f1(f3(x37021,f2(x37021,x37022)),x37023))),
% 184.18/184.17 inference(scs_inference,[],[42,3695,3697,3669,3655,548,3680,3691,3667,2637,2,15,14,3,27,4])).
% 184.18/184.17 cnf(3714,plain,
% 184.18/184.17 (E(f3(f1(x37141,x37141),f2(f2(f2(f1(x37141,x37141),f2(f1(x37141,x37141),x37142)),f1(x37141,x37141)),f1(x37141,x37141))),f3(f1(x37141,x37141),x37142))),
% 184.18/184.17 inference(rename_variables,[],[3689])).
% 184.18/184.17 cnf(3716,plain,
% 184.18/184.17 (E(f2(f1(x37161,x37161),f2(f2(x37162,x37163),f1(x37164,x37165))),f2(f1(x37161,x37161),f2(f1(x37165,x37164),f2(x37163,x37162))))),
% 184.18/184.17 inference(scs_inference,[],[3689,3672,3690,3013,3,27])).
% 184.18/184.17 cnf(3720,plain,
% 184.18/184.17 (P1(f3(f1(x37201,x37201),f2(f2(f2(f1(x37201,x37201),f2(f1(x37201,x37201),x37202)),f1(x37201,x37201)),f1(x37201,x37201))),f3(f1(x37201,x37201),x37202))),
% 184.18/184.17 inference(scs_inference,[],[3689,3714,3672,3690,3013,3,27,26])).
% 184.18/184.17 cnf(3725,plain,
% 184.18/184.17 (~E(f3(f1(a4,a7),f2(f1(a4,a7),f2(a4,a7))),f1(f3(a4,f2(a4,a7)),f3(a7,a4)))),
% 184.18/184.17 inference(scs_inference,[],[3677,3702,3,2])).
% 184.18/184.17 cnf(3742,plain,
% 184.18/184.17 (E(f1(f3(x37421,x37422),f3(x37423,f2(f2(x37422,x37423),x37423))),f3(f1(x37421,x37423),f2(f1(x37421,x37423),x37422)))),
% 184.18/184.17 inference(scs_inference,[],[42,3716,3696,3658,2756,3720,3118,2,15,14,3])).
% 184.18/184.17 cnf(3745,plain,
% 184.18/184.17 (E(f2(f1(x37451,x37452),f2(f1(x37453,x37454),f2(x37455,x37456))),f2(f1(x37451,x37452),f2(f2(x37456,x37455),f1(x37454,x37453))))),
% 184.18/184.17 inference(scs_inference,[],[42,3716,3696,3658,2756,3720,3118,3690,2921,2,15,14,3,27])).
% 184.18/184.17 cnf(3774,plain,
% 184.18/184.17 (~E(f1(f3(a4,f2(a4,a7)),f3(a7,a4)),f3(f1(a4,a7),f2(f1(a4,a7),f2(f1(a4,a7),f2(a4,a7)))))),
% 184.18/184.17 inference(scs_inference,[],[42,3725,3,2])).
% 184.18/184.17 cnf(3852,plain,
% 184.18/184.17 (P1(f1(f3(x38521,x38522),f3(x38521,x38522)),f3(f1(x38521,x38521),f2(f2(f2(f2(x38522,x38521),x38521),x38521),x38521)))),
% 184.18/184.17 inference(scs_inference,[],[43,3745,3608,2,15])).
% 184.18/184.17 cnf(3853,plain,
% 184.18/184.18 (P1(f1(x38531,x38532),f1(x38532,x38531))),
% 184.18/184.18 inference(rename_variables,[],[43])).
% 184.18/184.18 cnf(3854,plain,
% 184.18/184.18 (P1(f3(f1(x38541,x38541),f2(f2(f2(f2(x38542,x38541),x38541),x38541),x38541)),f1(f3(x38541,x38542),f3(x38541,x38542)))),
% 184.18/184.18 inference(scs_inference,[],[43,3853,3745,3608,2,15,14])).
% 184.18/184.18 cnf(3869,plain,
% 184.18/184.18 (P1(f1(x38691,x38692),f1(x38692,x38691))),
% 184.18/184.18 inference(rename_variables,[],[43])).
% 184.18/184.18 cnf(3872,plain,
% 184.18/184.18 (~E(f1(f3(a4,f2(a4,a7)),f3(a7,a4)),f3(f1(a4,a7),f2(a4,a7)))),
% 184.18/184.18 inference(scs_inference,[],[43,3869,3774,3742,122,3854,3852,26,27,15,14,3])).
% 184.18/184.18 cnf(3874,plain,
% 184.18/184.18 (~E(f3(f1(a4,a7),f2(a4,a7)),f1(f3(a4,f2(a4,a7)),f3(a7,a4)))),
% 184.18/184.18 inference(scs_inference,[],[43,3869,3774,3742,122,3854,3852,26,27,15,14,3,2])).
% 184.18/184.18 cnf(4678,plain,
% 184.18/184.18 (~E(f1(f3(a7,f2(a7,a4)),f3(a4,a7)),f3(f1(a4,a7),f2(a7,a4)))),
% 184.18/184.18 inference(scs_inference,[],[167,3702,3])).
% 184.18/184.18 cnf(4692,plain,
% 184.18/184.18 (P1(f3(f2(x46921,x46922),f3(x46923,x46924)),f3(f2(x46922,x46921),f3(x46923,f2(x46923,x46924))))),
% 184.18/184.18 inference(scs_inference,[],[3133,346,14])).
% 184.18/184.18 cnf(4693,plain,
% 184.18/184.18 (P1(f3(f2(x46931,x46932),x46933),f3(f2(x46932,x46931),x46933))),
% 184.18/184.18 inference(rename_variables,[],[346])).
% 184.18/184.18 cnf(4694,plain,
% 184.18/184.18 (E(f3(x46941,f3(x46942,f2(x46942,x46943))),f3(x46941,f3(x46942,x46943)))),
% 184.18/184.18 inference(rename_variables,[],[3133])).
% 184.18/184.18 cnf(4698,plain,
% 184.18/184.18 (P1(f3(f2(x46981,x46982),f3(x46983,f2(x46983,x46984))),f3(f2(x46982,x46981),f3(x46983,x46984)))),
% 184.18/184.18 inference(scs_inference,[],[3133,4694,3134,346,4693,88,14,3,15])).
% 184.18/184.18 cnf(4701,plain,
% 184.18/184.18 (E(f1(f3(x47011,f2(x47012,x47011)),x47013),f1(f3(x47011,x47012),x47013))),
% 184.18/184.18 inference(scs_inference,[],[3133,4694,3134,346,4693,88,461,14,3,15,4])).
% 184.18/184.18 cnf(4708,plain,
% 184.18/184.18 (E(f1(x47081,f3(x47082,f2(x47083,x47082))),f1(x47081,f3(x47082,x47083)))),
% 184.18/184.18 inference(scs_inference,[],[3133,4694,3134,346,4693,88,461,14,3,15,4,9,10,11,13,12,8,5])).
% 184.18/184.18 cnf(4711,plain,
% 184.18/184.18 (E(f1(f3(x47111,f2(x47112,x47113)),f3(x47112,x47113)),f3(f1(x47112,x47111),f2(x47112,x47113)))),
% 184.18/184.18 inference(scs_inference,[],[3133,4694,3134,346,4693,88,461,14,3,15,4,9,10,11,13,12,8,5,6,7,2])).
% 184.18/184.18 cnf(4718,plain,
% 184.18/184.18 (~E(f1(f3(a4,f2(a4,a7)),f3(a7,a4)),f1(f3(a7,f2(a4,a7)),f3(a4,a7)))),
% 184.18/184.18 inference(scs_inference,[],[4711,4678,3872,2,3])).
% 184.18/184.18 cnf(4726,plain,
% 184.18/184.18 (~E(f1(f3(a4,a7),f3(a7,a4)),f1(f3(a7,f2(a4,a7)),f3(a4,a7)))),
% 184.18/184.18 inference(scs_inference,[],[4701,4698,4692,4718,3127,2,27,3])).
% 184.18/184.18 cnf(4732,plain,
% 184.18/184.18 ($false),
% 184.18/184.18 inference(scs_inference,[],[4726,4708,4698,4692,3874,87,2,27,3]),
% 184.18/184.18 ['proof']).
% 184.18/184.18 % SZS output end Proof
% 184.18/184.18 % Total time :183.530000s
%------------------------------------------------------------------------------