TSTP Solution File: GRP526-1 by CSE---1.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE---1.6
% Problem  : GRP526-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d

% Computer : n027.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 00:12:20 EDT 2023

% Result   : Unsatisfiable 55.64s 55.68s
% Output   : CNFRefutation 55.64s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : GRP526-1 : TPTP v8.1.2. Released v2.6.0.
% 0.00/0.13  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34  % Computer : n027.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 29 02:04:53 EDT 2023
% 0.13/0.34  % CPUTime    : 
% 0.21/0.56  start to proof:theBenchmark
% 55.64/55.66  %-------------------------------------------
% 55.64/55.66  % File        :CSE---1.6
% 55.64/55.66  % Problem     :theBenchmark
% 55.64/55.66  % Transform   :cnf
% 55.64/55.66  % Format      :tptp:raw
% 55.64/55.66  % Command     :java -jar mcs_scs.jar %d %s
% 55.64/55.66  
% 55.64/55.66  % Result      :Theorem 55.060000s
% 55.64/55.66  % Output      :CNFRefutation 55.060000s
% 55.64/55.66  %-------------------------------------------
% 55.64/55.68  %--------------------------------------------------------------------------
% 55.64/55.68  % File     : GRP526-1 : TPTP v8.1.2. Released v2.6.0.
% 55.64/55.68  % Domain   : Group Theory (Abelian)
% 55.64/55.68  % Problem  : Axiom for Abelian group theory, in division, part 2
% 55.64/55.68  % Version  : [McC93] (equality) axioms.
% 55.64/55.68  % English  :
% 55.64/55.68  
% 55.64/55.68  % Refs     : [McC93] McCune (1993), Single Axioms for Groups and Abelian Gr
% 55.64/55.68  % Source   : [TPTP]
% 55.64/55.68  % Names    :
% 55.64/55.68  
% 55.64/55.68  % Status   : Unsatisfiable
% 55.64/55.68  % Rating   : 0.00 v7.4.0, 0.09 v7.3.0, 0.00 v6.4.0, 0.05 v6.3.0, 0.06 v6.2.0, 0.07 v6.1.0, 0.00 v6.0.0, 0.10 v5.5.0, 0.05 v5.4.0, 0.00 v5.1.0, 0.07 v5.0.0, 0.00 v2.6.0
% 55.64/55.68  % Syntax   : Number of clauses     :    4 (   4 unt;   0 nHn;   1 RR)
% 55.64/55.68  %            Number of literals    :    4 (   4 equ;   1 neg)
% 55.64/55.68  %            Maximal clause size   :    1 (   1 avg)
% 55.64/55.68  %            Maximal term depth    :    4 (   2 avg)
% 55.64/55.68  %            Number of predicates  :    1 (   0 usr;   0 prp; 2-2 aty)
% 55.64/55.68  %            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
% 55.64/55.68  %            Number of variables   :    8 (   0 sgn)
% 55.64/55.68  % SPC      : CNF_UNS_RFO_PEQ_UEQ
% 55.64/55.68  
% 55.64/55.68  % Comments : A UEQ part of GRP089-1
% 55.64/55.68  %--------------------------------------------------------------------------
% 55.64/55.68  cnf(single_axiom,axiom,
% 55.64/55.68      divide(A,divide(divide(A,B),divide(C,B))) = C ).
% 55.64/55.68  
% 55.64/55.68  cnf(multiply,axiom,
% 55.64/55.68      multiply(A,B) = divide(A,divide(divide(C,C),B)) ).
% 55.64/55.68  
% 55.64/55.68  cnf(inverse,axiom,
% 55.64/55.68      inverse(A) = divide(divide(B,B),A) ).
% 55.64/55.68  
% 55.64/55.68  cnf(prove_these_axioms_2,negated_conjecture,
% 55.64/55.68      multiply(multiply(inverse(b2),b2),a2) != a2 ).
% 55.64/55.68  
% 55.64/55.68  %--------------------------------------------------------------------------
% 55.64/55.68  %-------------------------------------------
% 55.64/55.68  % Proof found
% 55.64/55.68  % SZS status Theorem for theBenchmark
% 55.64/55.68  % SZS output start Proof
% 55.64/55.69  %ClaNum:12(EqnAxiom:8)
% 55.64/55.69  %VarNum:16(SingletonVarNum:8)
% 55.64/55.69  %MaxLitNum:1
% 55.64/55.69  %MaxfuncDepth:3
% 55.64/55.69  %SharedTerms:6
% 55.64/55.69  %goalClause: 12
% 55.64/55.69  %singleGoalClaCount:1
% 55.64/55.69  [12]~E(f5(f5(f4(a2),a2),a3),a3)
% 55.64/55.69  [9]E(f1(f1(x91,x91),x92),f4(x92))
% 55.64/55.69  [10]E(f1(x101,f1(f1(x102,x102),x103)),f5(x101,x103))
% 55.64/55.69  [11]E(f1(x111,f1(f1(x111,x112),f1(x113,x112))),x113)
% 55.64/55.69  %EqnAxiom
% 55.64/55.69  [1]E(x11,x11)
% 55.64/55.69  [2]E(x22,x21)+~E(x21,x22)
% 55.64/55.69  [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 55.64/55.69  [4]~E(x41,x42)+E(f1(x41,x43),f1(x42,x43))
% 55.64/55.69  [5]~E(x51,x52)+E(f1(x53,x51),f1(x53,x52))
% 55.64/55.69  [6]~E(x61,x62)+E(f5(x61,x63),f5(x62,x63))
% 55.64/55.69  [7]~E(x71,x72)+E(f5(x73,x71),f5(x73,x72))
% 55.64/55.69  [8]~E(x81,x82)+E(f4(x81),f4(x82))
% 55.64/55.69  
% 55.64/55.69  %-------------------------------------------
% 55.64/55.70  cnf(13,plain,
% 55.64/55.70     (E(f4(x131),f1(f1(x132,x132),x131))),
% 55.64/55.70     inference(scs_inference,[],[9,2])).
% 55.64/55.70  cnf(14,plain,
% 55.64/55.70     (E(f4(f1(f1(x141,x141),x142)),f4(f4(x142)))),
% 55.64/55.70     inference(scs_inference,[],[9,2,8])).
% 55.64/55.70  cnf(15,plain,
% 55.64/55.70     (E(f5(x151,f1(f1(x152,x152),x153)),f5(x151,f4(x153)))),
% 55.64/55.70     inference(scs_inference,[],[9,2,8,7])).
% 55.64/55.70  cnf(16,plain,
% 55.64/55.70     (E(f5(f1(f1(x161,x161),x162),x163),f5(f4(x162),x163))),
% 55.64/55.70     inference(scs_inference,[],[9,2,8,7,6])).
% 55.64/55.70  cnf(17,plain,
% 55.64/55.70     (E(f1(x171,f1(f1(x172,x172),x173)),f1(x171,f4(x173)))),
% 55.64/55.70     inference(scs_inference,[],[9,2,8,7,6,5])).
% 55.64/55.70  cnf(18,plain,
% 55.64/55.70     (E(f1(f1(f1(x181,x181),x182),x183),f1(f4(x182),x183))),
% 55.64/55.70     inference(scs_inference,[],[9,2,8,7,6,5,4])).
% 55.64/55.70  cnf(19,plain,
% 55.64/55.70     (~E(f4(f4(x191)),x192)+E(f4(f1(f1(x193,x193),x191)),x192)),
% 55.64/55.70     inference(scs_inference,[],[9,2,8,7,6,5,4,3])).
% 55.64/55.70  cnf(22,plain,
% 55.64/55.70     (~E(a3,f1(f5(f4(a2),a2),f1(f1(x221,x221),a3)))),
% 55.64/55.70     inference(scs_inference,[],[12,10,2,3])).
% 55.64/55.70  cnf(24,plain,
% 55.64/55.70     (E(f4(f1(f1(x241,x241),x242)),f1(f1(x243,x243),f4(x242)))),
% 55.64/55.70     inference(scs_inference,[],[12,10,13,2,3,19])).
% 55.64/55.70  cnf(26,plain,
% 55.64/55.70     (E(x261,f1(x262,f1(f1(x262,x263),f1(x261,x263))))),
% 55.64/55.70     inference(scs_inference,[],[11,2])).
% 55.64/55.70  cnf(28,plain,
% 55.64/55.70     (E(f5(x281,x282),f1(x281,f1(f1(x283,x283),x282)))),
% 55.64/55.70     inference(scs_inference,[],[10,2])).
% 55.64/55.70  cnf(30,plain,
% 55.64/55.70     (E(f1(f4(x301),x302),f1(f1(f1(x303,x303),x301),x302))),
% 55.64/55.70     inference(scs_inference,[],[10,13,2,7,4])).
% 55.64/55.70  cnf(31,plain,
% 55.64/55.70     (E(f4(f4(x311)),f4(f1(f1(x312,x312),x311)))),
% 55.64/55.70     inference(scs_inference,[],[10,13,2,7,4,8])).
% 55.64/55.70  cnf(32,plain,
% 55.64/55.70     (E(f5(f4(x321),x322),f5(f1(f1(x323,x323),x321),x322))),
% 55.64/55.70     inference(scs_inference,[],[10,13,2,7,4,8,6])).
% 55.64/55.70  cnf(33,plain,
% 55.64/55.70     (E(f1(x331,f4(x332)),f1(x331,f1(f1(x333,x333),x332)))),
% 55.64/55.70     inference(scs_inference,[],[10,13,2,7,4,8,6,5])).
% 55.64/55.70  cnf(34,plain,
% 55.64/55.70     (E(f4(f1(f1(x341,x341),x342)),f5(f1(x343,x343),x342))),
% 55.64/55.70     inference(scs_inference,[],[10,13,3])).
% 55.64/55.70  cnf(37,plain,
% 55.64/55.70     (~E(a3,f1(f5(f4(a2),a2),f4(a3)))),
% 55.64/55.70     inference(scs_inference,[],[33,22,3])).
% 55.64/55.70  cnf(42,plain,
% 55.64/55.70     (E(f4(x421),f1(f4(f1(x422,x422)),x421))),
% 55.64/55.70     inference(scs_inference,[],[13,18,3])).
% 55.64/55.70  cnf(45,plain,
% 55.64/55.70     (E(f1(f1(x451,x451),f4(x452)),f4(f1(f1(x453,x453),x452)))),
% 55.64/55.70     inference(scs_inference,[],[13,18,24,3,2])).
% 55.64/55.70  cnf(46,plain,
% 55.64/55.70     (E(f4(f4(x461)),f5(f1(x462,x462),x461))),
% 55.64/55.70     inference(scs_inference,[],[31,34,3])).
% 55.64/55.70  cnf(49,plain,
% 55.64/55.70     (E(f1(f4(f1(x491,x491)),x492),f4(x492))),
% 55.64/55.70     inference(scs_inference,[],[42,2])).
% 55.64/55.70  cnf(51,plain,
% 55.64/55.71     (E(x511,f1(x512,f4(f1(x511,x512))))),
% 55.64/55.71     inference(scs_inference,[],[17,26,3])).
% 55.64/55.71  cnf(55,plain,
% 55.64/55.71     (E(f1(f4(f1(x551,x551)),f4(x552)),f5(f1(x553,x553),x552))),
% 55.64/55.71     inference(scs_inference,[],[46,49,3])).
% 55.64/55.71  cnf(59,plain,
% 55.64/55.71     (E(f1(x591,f4(f1(x592,x591))),x592)),
% 55.64/55.71     inference(scs_inference,[],[51,2])).
% 55.64/55.71  cnf(62,plain,
% 55.64/55.71     (E(f1(f1(x621,x621),f4(x622)),f1(f1(x623,x623),f4(x622)))),
% 55.64/55.71     inference(scs_inference,[],[24,45,3])).
% 55.64/55.71  cnf(65,plain,
% 55.64/55.71     (E(f1(f1(f1(x651,x651),f1(x652,x652)),f4(x653)),f5(f1(x654,x654),x653))),
% 55.64/55.71     inference(scs_inference,[],[18,55,3])).
% 55.64/55.71  cnf(68,plain,
% 55.64/55.71     (E(f5(f1(x681,x681),x682),f1(f1(f1(x683,x683),f1(x684,x684)),f4(x682)))),
% 55.64/55.71     inference(scs_inference,[],[65,2])).
% 55.64/55.71  cnf(72,plain,
% 55.64/55.71     (E(f4(f4(x721)),f1(f1(x722,x722),f1(f1(x723,x723),x721)))),
% 55.64/55.71     inference(scs_inference,[],[28,46,3])).
% 55.64/55.71  cnf(76,plain,
% 55.64/55.71     (E(f1(f1(x761,x761),f1(f1(x762,x762),x763)),f4(f4(x763)))),
% 55.64/55.71     inference(scs_inference,[],[72,2])).
% 55.64/55.71  cnf(77,plain,
% 55.64/55.71     (E(f5(f1(x771,x771),x772),f4(f4(x772)))),
% 55.64/55.71     inference(scs_inference,[],[28,72,2,3])).
% 55.64/55.71  cnf(83,plain,
% 55.64/55.71     (E(f1(f4(f1(x831,x831)),f4(x832)),f1(f1(x833,x833),f4(x832)))),
% 55.64/55.71     inference(scs_inference,[],[30,62,3])).
% 55.64/55.71  cnf(86,plain,
% 55.64/55.71     (E(f5(f1(x861,x861),x862),f4(f1(f1(x863,x863),x862)))),
% 55.64/55.71     inference(scs_inference,[],[30,62,34,3,2])).
% 55.64/55.71  cnf(88,plain,
% 55.64/55.71     (E(f5(f1(x881,x881),x882),f1(f1(x883,x883),f1(f1(x884,x884),x882)))),
% 55.64/55.71     inference(scs_inference,[],[77,72,3])).
% 55.64/55.71  cnf(93,plain,
% 55.64/55.71     (E(f1(f1(x931,x931),f4(x932)),f1(f4(f1(x933,x933)),f4(x932)))),
% 55.64/55.71     inference(scs_inference,[],[83,2])).
% 55.64/55.71  cnf(95,plain,
% 55.64/55.71     (E(f5(f1(x951,x951),x952),f5(f1(x953,x953),x952))),
% 55.64/55.71     inference(scs_inference,[],[34,86,3])).
% 55.64/55.71  cnf(98,plain,
% 55.64/55.71     (E(f1(f1(x981,x981),f4(x982)),f5(f1(x983,x983),x982))),
% 55.64/55.71     inference(scs_inference,[],[34,45,3])).
% 55.64/55.71  cnf(102,plain,
% 55.64/55.71     (E(f1(f1(x1021,x1021),f1(f1(x1022,x1022),x1023)),f5(f1(x1024,x1024),x1023))),
% 55.64/55.71     inference(scs_inference,[],[88,2])).
% 55.64/55.71  cnf(105,plain,
% 55.64/55.71     (E(f1(f1(x1051,x1051),f4(x1052)),f1(f1(f1(x1053,x1053),f1(x1054,x1054)),f4(x1052)))),
% 55.64/55.71     inference(scs_inference,[],[68,98,3])).
% 55.64/55.71  cnf(108,plain,
% 55.64/55.71     (E(f5(f1(x1081,x1081),f1(f1(x1082,x1082),x1083)),f5(f1(x1084,x1084),f4(x1083)))),
% 55.64/55.71     inference(scs_inference,[],[95,15,3])).
% 55.64/55.71  cnf(112,plain,
% 55.64/55.71     (E(f1(f1(f1(x1121,x1121),f1(x1122,x1122)),f4(x1123)),f1(f1(x1124,x1124),f4(x1123)))),
% 55.64/55.71     inference(scs_inference,[],[105,2])).
% 55.64/55.71  cnf(119,plain,
% 55.64/55.71     (E(f5(f1(x1191,x1191),x1192),f1(f4(f1(x1193,x1193)),f4(x1192)))),
% 55.64/55.71     inference(scs_inference,[],[46,55,68,3,2])).
% 55.64/55.71  cnf(122,plain,
% 55.64/55.71     (E(f1(f1(f1(x1221,x1221),f1(x1222,x1222)),x1223),f4(x1223))),
% 55.64/55.71     inference(scs_inference,[],[49,18,3])).
% 55.64/55.71  cnf(126,plain,
% 55.64/55.71     (E(f5(f1(x1261,x1261),f4(x1262)),f5(f1(x1263,x1263),f1(f1(x1264,x1264),x1262)))),
% 55.64/55.71     inference(scs_inference,[],[108,2])).
% 55.64/55.71  cnf(128,plain,
% 55.64/55.71     (E(x1281,f5(f1(x1282,x1282),f1(x1281,f1(x1283,x1283))))),
% 55.64/55.71     inference(scs_inference,[],[51,98,3])).
% 55.64/55.71  cnf(142,plain,
% 55.64/55.71     (E(f5(f1(x1421,x1421),x1422),f1(f1(x1423,x1423),f4(x1422)))),
% 55.64/55.71     inference(scs_inference,[],[62,68,3])).
% 55.64/55.71  cnf(150,plain,
% 55.64/55.71     (E(f1(f1(x1501,x1501),f1(f1(x1502,x1502),x1503)),f1(f1(x1504,x1504),f4(x1503)))),
% 55.64/55.71     inference(scs_inference,[],[102,142,3])).
% 55.64/55.71  cnf(153,plain,
% 55.64/55.71     (E(f1(f1(x1531,x1531),f4(x1532)),f1(f1(x1533,x1533),f1(f1(x1534,x1534),x1532)))),
% 55.64/55.71     inference(scs_inference,[],[150,2])).
% 55.64/55.71  cnf(154,plain,
% 55.64/55.71     (E(f5(f4(f1(x1541,x1541)),x1542),f4(f4(x1542)))),
% 55.64/55.71     inference(scs_inference,[],[77,150,32,2,3])).
% 55.64/55.71  cnf(163,plain,
% 55.64/55.71     (E(f4(f4(x1631)),f5(f4(f1(x1632,x1632)),x1631))),
% 55.64/55.71     inference(scs_inference,[],[93,112,154,3,2])).
% 55.64/55.71  cnf(165,plain,
% 55.64/55.71     (E(f5(f1(x1651,x1651),x1652),f5(f4(f1(x1653,x1653)),x1652))),
% 55.64/55.71     inference(scs_inference,[],[163,77,3])).
% 55.64/55.71  cnf(172,plain,
% 55.64/55.71     (E(f5(f1(x1721,x1721),x1722),f5(f1(f1(x1723,x1723),f1(x1724,x1724)),x1722))),
% 55.64/55.71     inference(scs_inference,[],[165,32,3])).
% 55.64/55.71  cnf(179,plain,
% 55.64/55.71     (E(f5(f1(f1(x1791,x1791),f1(x1792,x1792)),x1793),f5(f1(x1794,x1794),x1793))),
% 55.64/55.71     inference(scs_inference,[],[172,2])).
% 55.64/55.71  cnf(185,plain,
% 55.64/55.71     (E(f5(f1(f1(x1851,x1851),f1(x1852,x1852)),x1853),f4(f4(x1853)))),
% 55.64/55.71     inference(scs_inference,[],[154,16,3])).
% 55.64/55.71  cnf(188,plain,
% 55.64/55.71     (E(f4(f4(x1881)),f5(f1(f1(x1882,x1882),f1(x1883,x1883)),x1881))),
% 55.64/55.71     inference(scs_inference,[],[185,2])).
% 55.64/55.71  cnf(192,plain,
% 55.64/55.71     (E(f1(f1(f1(x1921,x1921),f1(x1922,x1922)),x1923),f1(f1(x1924,x1924),x1923))),
% 55.64/55.71     inference(scs_inference,[],[122,13,3])).
% 55.64/55.71  cnf(195,plain,
% 55.64/55.71     (E(f1(f1(x1951,x1951),x1952),f1(f1(f1(x1953,x1953),f1(x1954,x1954)),x1952))),
% 55.64/55.71     inference(scs_inference,[],[192,2])).
% 55.64/55.71  cnf(197,plain,
% 55.64/55.71     (E(f4(x1971),f5(f1(x1972,x1972),f1(f1(f1(x1973,x1973),x1971),f1(x1974,x1974))))),
% 55.64/55.71     inference(scs_inference,[],[128,13,3])).
% 55.64/55.71  cnf(205,plain,
% 55.64/55.71     (E(f5(f4(f1(x2051,x2051)),x2052),f1(f1(x2053,x2053),f4(x2052)))),
% 55.64/55.71     inference(scs_inference,[],[142,32,3])).
% 55.64/55.71  cnf(210,plain,
% 55.64/55.71     (E(f1(f1(x2101,x2101),f4(x2102)),f5(f4(f1(x2103,x2103)),x2102))),
% 55.64/55.71     inference(scs_inference,[],[205,2])).
% 55.64/55.71  cnf(217,plain,
% 55.64/55.71     (E(f5(f4(f1(x2171,x2171)),x2172),f5(f1(x2173,x2173),x2172))),
% 55.64/55.71     inference(scs_inference,[],[165,2])).
% 55.64/55.71  cnf(221,plain,
% 55.64/55.71     (E(f1(f1(x2211,x2211),f4(x2212)),f5(f1(f1(x2213,x2213),f1(x2214,x2214)),x2212))),
% 55.64/55.71     inference(scs_inference,[],[172,98,3])).
% 55.64/55.71  cnf(224,plain,
% 55.64/55.71     (E(f5(f1(f1(x2241,x2241),f1(x2242,x2242)),x2243),f1(f1(x2244,x2244),f4(x2243)))),
% 55.64/55.71     inference(scs_inference,[],[221,2])).
% 55.64/55.71  cnf(236,plain,
% 55.64/55.71     (E(f4(f1(x2361,x2361)),f5(f1(x2362,x2362),f4(f1(x2363,x2363))))),
% 55.64/55.71     inference(scs_inference,[],[197,15,3])).
% 55.64/55.71  cnf(242,plain,
% 55.64/55.71     (E(f5(f1(x2421,x2421),f4(f1(x2422,x2422))),f4(f1(x2423,x2423)))),
% 55.64/55.71     inference(scs_inference,[],[236,2])).
% 55.64/55.71  cnf(245,plain,
% 55.64/55.71     (E(f5(f1(x2451,x2451),f1(x2452,x2452)),f5(f1(x2453,x2453),f4(f1(x2454,x2454))))),
% 55.64/55.71     inference(scs_inference,[],[236,86,3])).
% 55.64/55.71  cnf(250,plain,
% 55.64/55.71     (E(f5(f1(x2501,x2501),f4(f1(x2502,x2502))),f5(f1(x2503,x2503),f1(x2504,x2504)))),
% 55.64/55.71     inference(scs_inference,[],[245,2])).
% 55.64/55.71  cnf(251,plain,
% 55.64/55.71     (E(f5(f1(x2511,x2511),f4(f1(x2512,x2512))),f1(f1(x2513,x2513),f1(x2514,x2514)))),
% 55.64/55.71     inference(scs_inference,[],[242,245,13,2,3])).
% 55.64/55.71  cnf(257,plain,
% 55.64/55.71     (E(f1(f1(x2571,x2571),f1(x2572,x2572)),f5(f1(x2573,x2573),f4(f1(x2574,x2574))))),
% 55.64/55.71     inference(scs_inference,[],[251,2])).
% 55.64/55.71  cnf(259,plain,
% 55.64/55.71     (E(x2591,f5(f1(f1(x2592,x2592),f1(x2593,x2593)),f1(x2591,f1(x2594,x2594))))),
% 55.64/55.71     inference(scs_inference,[],[221,51,3])).
% 55.64/55.71  cnf(264,plain,
% 55.64/55.71     (E(f4(f1(x2641,x2641)),f5(f1(x2642,x2642),f1(x2643,x2643)))),
% 55.64/55.71     inference(scs_inference,[],[236,250,3])).
% 55.64/55.71  cnf(267,plain,
% 55.64/55.71     (E(f5(f1(x2671,x2671),f1(x2672,x2672)),f4(f1(x2673,x2673)))),
% 55.64/55.71     inference(scs_inference,[],[264,2])).
% 55.64/55.71  cnf(270,plain,
% 55.64/55.71     (E(f4(f1(x2701,x2701)),f4(f1(x2702,x2702)))),
% 55.64/55.71     inference(scs_inference,[],[242,236,3])).
% 55.64/55.71  cnf(273,plain,
% 55.64/55.71     (E(f5(f1(x2731,x2731),f1(x2732,x2732)),f5(f1(x2733,x2733),f1(f1(x2734,x2734),f1(x2735,x2735))))),
% 55.64/55.71     inference(scs_inference,[],[245,126,3])).
% 55.64/55.71  cnf(276,plain,
% 55.64/55.71     (E(f5(f1(x2761,x2761),f1(f1(x2762,x2762),f1(x2763,x2763))),f5(f1(x2764,x2764),f1(x2765,x2765)))),
% 55.64/55.71     inference(scs_inference,[],[273,2])).
% 55.64/55.71  cnf(279,plain,
% 55.64/55.71     (E(f1(f1(x2791,x2791),f1(x2792,x2792)),f4(f1(x2793,x2793)))),
% 55.64/55.71     inference(scs_inference,[],[242,257,3])).
% 55.64/55.71  cnf(285,plain,
% 55.64/55.71     (E(f4(f1(x2851,x2851)),f1(f1(x2852,x2852),f1(x2853,x2853)))),
% 55.64/55.71     inference(scs_inference,[],[279,2])).
% 55.64/55.71  cnf(288,plain,
% 55.64/55.71     (E(f1(f1(x2881,x2881),f1(x2882,x2882)),f5(f1(x2883,x2883),f1(x2884,x2884)))),
% 55.64/55.71     inference(scs_inference,[],[250,257,3])).
% 55.64/55.71  cnf(294,plain,
% 55.64/55.71     (E(f5(f1(f1(x2941,x2941),f1(x2942,x2942)),f1(x2943,f1(x2944,x2944))),x2943)),
% 55.64/55.71     inference(scs_inference,[],[259,2])).
% 55.64/55.71  cnf(297,plain,
% 55.64/55.71     (E(f4(f4(f1(x2971,x2971))),f4(f1(x2972,x2972)))),
% 55.64/55.71     inference(scs_inference,[],[267,188,3])).
% 55.64/55.71  cnf(302,plain,
% 55.64/55.71     (E(f5(f1(x3021,x3021),f1(x3022,x3022)),f1(f1(x3023,x3023),f1(x3024,x3024)))),
% 55.64/55.71     inference(scs_inference,[],[267,285,297,19,3])).
% 55.64/55.71  cnf(308,plain,
% 55.64/55.71     (E(f4(f1(x3081,x3081)),f5(f1(x3082,x3082),f1(f1(x3083,x3083),f1(x3084,x3084))))),
% 55.64/55.71     inference(scs_inference,[],[264,273,3])).
% 55.64/55.71  cnf(311,plain,
% 55.64/55.71     (E(f4(f1(x3111,x3111)),f4(f4(f1(x3112,x3112))))),
% 55.64/55.71     inference(scs_inference,[],[270,14,3])).
% 55.64/55.71  cnf(315,plain,
% 55.64/55.71     (E(f5(f1(x3151,x3151),f1(f1(x3152,x3152),f1(x3153,x3153))),f4(f1(x3154,x3154)))),
% 55.64/55.71     inference(scs_inference,[],[308,2])).
% 55.64/55.71  cnf(318,plain,
% 55.64/55.71     (E(f1(f1(x3181,x3181),f4(f1(x3182,x3182))),f4(f1(x3183,x3183)))),
% 55.64/55.71     inference(scs_inference,[],[279,153,3])).
% 55.64/55.71  cnf(322,plain,
% 55.64/55.71     (E(f5(f1(x3221,x3221),f1(f1(x3222,x3222),f1(x3223,x3223))),f1(f1(x3224,x3224),f1(x3225,x3225)))),
% 55.64/55.71     inference(scs_inference,[],[276,302,3])).
% 55.64/55.71  cnf(325,plain,
% 55.64/55.71     (E(f4(f1(x3251,x3251)),f1(f1(x3252,x3252),f4(f1(x3253,x3253))))),
% 55.64/55.71     inference(scs_inference,[],[318,2])).
% 55.64/55.71  cnf(328,plain,
% 55.64/55.71     (E(f4(f4(f1(x3281,x3281))),f1(f1(x3282,x3282),f1(x3283,x3283)))),
% 55.64/55.71     inference(scs_inference,[],[285,297,3])).
% 55.64/55.71  cnf(330,plain,
% 55.64/55.71     (E(f1(f1(x3301,x3301),f1(x3302,x3302)),f4(f1(f1(x3303,x3303),f1(x3304,x3304))))),
% 55.64/55.71     inference(scs_inference,[],[328,2,19])).
% 55.64/55.71  cnf(331,plain,
% 55.64/55.71     (E(f4(f1(f1(x3311,x3311),f1(x3312,x3312))),f1(f1(x3313,x3313),f1(x3314,x3314)))),
% 55.64/55.71     inference(scs_inference,[],[328,19])).
% 55.64/55.71  cnf(332,plain,
% 55.64/55.71     (E(f1(f1(x3321,x3321),f1(x3322,x3322)),f4(f4(f1(x3323,x3323))))),
% 55.64/55.71     inference(scs_inference,[],[279,311,328,19,3])).
% 55.64/55.71  cnf(338,plain,
% 55.64/55.71     (E(f4(f1(f1(x3381,x3381),f1(x3382,x3382))),f5(f1(x3383,x3383),f1(x3384,x3384)))),
% 55.64/55.71     inference(scs_inference,[],[288,331,3])).
% 55.64/55.71  cnf(341,plain,
% 55.64/55.71     (E(f4(f1(x3411,x3411)),f5(f4(f1(x3412,x3412)),f1(x3413,x3413)))),
% 55.64/55.71     inference(scs_inference,[],[325,210,3])).
% 55.64/55.71  cnf(344,plain,
% 55.64/55.71     (E(f5(f1(x3441,x3441),f1(x3442,x3442)),f4(f1(f1(x3443,x3443),f1(x3444,x3444))))),
% 55.64/55.71     inference(scs_inference,[],[338,2])).
% 55.64/55.71  cnf(347,plain,
% 55.64/55.71     (E(f1(f1(x3471,x3471),f1(x3472,x3472)),f1(x3473,x3473))),
% 55.64/55.71     inference(scs_inference,[],[288,294,3])).
% 55.64/55.71  cnf(352,plain,
% 55.64/55.71     (E(f1(x3521,f1(f1(x3522,x3522),f1(x3523,x3523))),f1(x3521,f1(x3524,x3524)))),
% 55.64/55.71     inference(scs_inference,[],[347,7,5])).
% 55.64/55.71  cnf(357,plain,
% 55.64/55.71     (E(f5(f4(f1(x3571,x3571)),f1(x3572,x3572)),f4(f1(x3573,x3573)))),
% 55.64/55.71     inference(scs_inference,[],[341,2])).
% 55.64/55.71  cnf(360,plain,
% 55.64/55.71     (E(f1(f1(x3601,x3601),f1(f1(x3602,x3602),f1(x3603,x3603))),f4(f1(x3604,x3604)))),
% 55.64/55.71     inference(scs_inference,[],[297,76,3])).
% 55.64/55.71  cnf(363,plain,
% 55.64/55.71     (E(f5(f1(x3631,x3631),f1(x3632,x3632)),f4(f4(f1(x3633,x3633))))),
% 55.64/55.71     inference(scs_inference,[],[302,332,3])).
% 55.64/55.71  cnf(369,plain,
% 55.64/55.71     (E(f5(f4(f1(x3691,x3691)),f1(x3692,x3692)),f1(f1(x3693,x3693),f1(x3694,x3694)))),
% 55.64/55.71     inference(scs_inference,[],[302,217,3])).
% 55.64/55.71  cnf(378,plain,
% 55.64/55.71     (E(f5(f1(f1(x3781,x3781),f1(x3782,x3782)),f1(x3783,x3783)),f4(f1(x3784,x3784)))),
% 55.64/55.71     inference(scs_inference,[],[318,224,3])).
% 55.64/55.71  cnf(384,plain,
% 55.64/55.71     (E(f4(f1(x3841,x3841)),f1(f1(x3842,x3842),f1(f1(x3843,x3843),f1(x3844,x3844))))),
% 55.64/55.71     inference(scs_inference,[],[360,2])).
% 55.64/55.71  cnf(394,plain,
% 55.64/55.71     (E(f4(f4(f1(x3941,x3941))),f5(f1(x3942,x3942),f1(x3943,x3943)))),
% 55.64/55.71     inference(scs_inference,[],[363,2])).
% 55.64/55.71  cnf(397,plain,
% 55.64/55.71     (E(f5(f1(f1(x3971,x3971),f1(x3972,x3972)),f1(x3973,x3973)),f1(f1(x3974,x3974),f1(x3975,x3975)))),
% 55.64/55.71     inference(scs_inference,[],[328,185,3])).
% 55.64/55.71  cnf(404,plain,
% 55.64/55.71     (E(f4(f1(x4041,x4041)),f5(f1(f1(x4042,x4042),f1(x4043,x4043)),f1(x4044,x4044)))),
% 55.64/55.71     inference(scs_inference,[],[378,2])).
% 55.64/55.71  cnf(410,plain,
% 55.64/55.71     (E(f1(f1(x4101,x4101),f1(x4102,x4102)),f5(f1(f1(x4103,x4103),f1(x4104,x4104)),f1(x4105,x4105)))),
% 55.64/55.71     inference(scs_inference,[],[330,404,3])).
% 55.64/55.71  cnf(417,plain,
% 55.64/55.71     (E(f5(f4(f1(x4171,x4171)),f1(x4172,x4172)),f5(f1(x4173,x4173),f1(x4174,x4174)))),
% 55.64/55.71     inference(scs_inference,[],[394,154,3])).
% 55.64/55.71  cnf(424,plain,
% 55.64/55.71     (E(f5(f1(x4241,x4241),f1(x4242,x4242)),f5(f4(f1(x4243,x4243)),f1(x4244,x4244)))),
% 55.64/55.71     inference(scs_inference,[],[417,2])).
% 55.64/55.71  cnf(437,plain,
% 55.64/55.71     (E(f4(f1(x4371,x4371)),f1(x4372,x4372))),
% 55.64/55.71     inference(scs_inference,[],[347,384,3])).
% 55.64/55.71  cnf(441,plain,
% 55.64/55.71     (E(f1(x4411,f4(f1(x4412,x4412))),f1(x4411,f1(x4413,x4413)))),
% 55.64/55.71     inference(scs_inference,[],[437,5])).
% 55.64/55.71  cnf(442,plain,
% 55.64/55.71     (E(f5(x4421,f4(f1(x4422,x4422))),f5(x4421,f1(x4423,x4423)))),
% 55.64/55.71     inference(scs_inference,[],[437,5,7])).
% 55.64/55.71  cnf(443,plain,
% 55.64/55.71     (E(f5(f1(x4431,x4431),f1(x4432,x4432)),f1(x4433,x4433))),
% 55.64/55.71     inference(scs_inference,[],[344,437,5,7,3])).
% 55.64/55.71  cnf(447,plain,
% 55.64/55.71     (E(f5(f5(f1(x4471,x4471),f1(x4472,x4472)),x4473),f5(f1(x4474,x4474),x4473))),
% 55.64/55.71     inference(scs_inference,[],[443,6])).
% 55.64/55.71  cnf(448,plain,
% 55.64/55.71     (E(f4(f5(f1(x4481,x4481),f1(x4482,x4482))),f4(f1(x4483,x4483)))),
% 55.64/55.71     inference(scs_inference,[],[443,6,8])).
% 55.64/55.71  cnf(452,plain,
% 55.64/55.71     (E(f5(f1(f1(x4521,x4521),f1(x4522,x4522)),f1(x4523,x4523)),f1(x4524,x4524))),
% 55.64/55.71     inference(scs_inference,[],[347,397,3])).
% 55.64/55.71  cnf(455,plain,
% 55.64/55.72     (E(f1(x4551,f5(f1(x4552,x4552),f1(x4553,x4553))),f1(x4551,f1(x4554,x4554)))),
% 55.64/55.72     inference(scs_inference,[],[443,5])).
% 55.64/55.72  cnf(456,plain,
% 55.64/55.72     (E(f5(x4561,f5(f1(x4562,x4562),f1(x4563,x4563))),f5(x4561,f1(x4564,x4564)))),
% 55.64/55.72     inference(scs_inference,[],[443,5,7])).
% 55.64/55.72  cnf(457,plain,
% 55.64/55.72     (E(f1(f1(x4571,x4571),f1(x4572,x4572)),f1(f4(f1(x4573,x4573)),f1(x4574,x4574)))),
% 55.64/55.72     inference(scs_inference,[],[347,441,443,5,7,3])).
% 55.64/55.72  cnf(461,plain,
% 55.64/55.72     (E(f5(x4611,f1(x4612,x4612)),f5(x4611,f4(f1(x4613,x4613))))),
% 55.64/55.72     inference(scs_inference,[],[442,2])).
% 55.64/55.72  cnf(464,plain,
% 55.64/55.72     (E(f5(f1(f1(x4641,x4641),f1(x4642,x4642)),f1(x4643,x4643)),f1(f1(f1(x4644,x4644),f1(x4645,x4645)),f1(x4646,x4646)))),
% 55.64/55.72     inference(scs_inference,[],[352,452,3])).
% 55.64/55.72  cnf(468,plain,
% 55.64/55.72     (E(f5(f4(f1(x4681,x4681)),f1(x4682,x4682)),f5(f1(f1(x4683,x4683),f1(x4684,x4684)),f1(x4685,x4685)))),
% 55.64/55.72     inference(scs_inference,[],[357,404,3])).
% 55.64/55.72  cnf(471,plain,
% 55.64/55.72     (E(f5(f1(x4711,x4711),x4712),f5(f5(f1(x4713,x4713),f1(x4714,x4714)),x4712))),
% 55.64/55.72     inference(scs_inference,[],[447,2])).
% 55.64/55.72  cnf(474,plain,
% 55.64/55.72     (E(f1(f1(x4741,x4741),f5(f1(x4742,x4742),f1(x4743,x4743))),f4(f1(x4744,x4744)))),
% 55.64/55.72     inference(scs_inference,[],[360,455,3])).
% 55.64/55.72  cnf(478,plain,
% 55.64/55.72     (E(f5(x4781,f1(x4782,x4782)),f5(x4781,f1(x4783,x4783)))),
% 55.64/55.72     inference(scs_inference,[],[461,442,3])).
% 55.64/55.72  cnf(486,plain,
% 55.64/55.72     (E(f5(x4861,f1(x4862,x4862)),f5(x4861,f5(f1(x4863,x4863),f1(x4864,x4864))))),
% 55.64/55.72     inference(scs_inference,[],[456,2])).
% 55.64/55.72  cnf(487,plain,
% 55.64/55.72     (E(f5(f5(f1(x4871,x4871),f1(x4872,x4872)),f1(x4873,x4873)),f4(f1(x4874,x4874)))),
% 55.64/55.72     inference(scs_inference,[],[378,456,447,2,3])).
% 55.64/55.72  cnf(491,plain,
% 55.64/55.72     (E(f5(f4(f1(x4911,x4911)),f1(x4912,x4912)),f1(f4(f1(x4913,x4913)),f1(x4914,x4914)))),
% 55.64/55.72     inference(scs_inference,[],[369,457,3])).
% 55.64/55.72  cnf(496,plain,
% 55.64/55.72     (E(f1(f1(f1(x4961,x4961),f1(x4962,x4962)),f1(x4963,x4963)),f5(f1(f1(x4964,x4964),f1(x4965,x4965)),f1(x4966,x4966)))),
% 55.64/55.72     inference(scs_inference,[],[464,2])).
% 55.64/55.72  cnf(498,plain,
% 55.64/55.72     (E(f5(f1(x4981,x4981),f1(x4982,x4982)),f5(f5(f1(x4983,x4983),f1(x4984,x4984)),f1(x4985,x4985)))),
% 55.64/55.72     inference(scs_inference,[],[471,478,3])).
% 55.64/55.72  cnf(502,plain,
% 55.64/55.72     (E(f5(f1(x5021,x5021),f1(x5022,x5022)),f1(f4(f1(x5023,x5023)),f1(x5024,x5024)))),
% 55.64/55.72     inference(scs_inference,[],[424,491,3])).
% 55.64/55.72  cnf(513,plain,
% 55.64/55.72     (E(f4(f4(f1(x5131,x5131))),f1(x5132,x5132))),
% 55.64/55.72     inference(scs_inference,[],[394,452,3])).
% 55.64/55.72  cnf(517,plain,
% 55.64/55.72     (E(f4(f1(f1(x5171,x5171),f1(x5172,x5172))),f1(x5173,x5173))),
% 55.64/55.72     inference(scs_inference,[],[513,19])).
% 55.64/55.72  cnf(518,plain,
% 55.64/55.72     (E(f4(f1(x5181,x5181)),f1(f1(x5182,x5182),f5(f1(x5183,x5183),f1(x5184,x5184))))),
% 55.64/55.72     inference(scs_inference,[],[474,513,19,2])).
% 55.64/55.72  cnf(522,plain,
% 55.64/55.72     (E(f5(f5(f1(x5221,x5221),f1(x5222,x5222)),f1(x5223,x5223)),f5(f1(f1(x5224,x5224),f1(x5225,x5225)),f1(x5226,x5226)))),
% 55.64/55.72     inference(scs_inference,[],[404,487,3])).
% 55.64/55.72  cnf(527,plain,
% 55.64/55.72     (E(f5(f5(f1(x5271,x5271),f1(x5272,x5272)),f1(x5273,x5273)),f5(f1(x5274,x5274),f1(x5275,x5275)))),
% 55.64/55.72     inference(scs_inference,[],[397,410,498,3,2])).
% 55.64/55.72  cnf(533,plain,
% 55.64/55.72     (E(f4(f5(f1(x5331,x5331),f1(x5332,x5332))),f1(x5333,x5333))),
% 55.64/55.72     inference(scs_inference,[],[502,517,448,2,3])).
% 55.64/55.72  cnf(555,plain,
% 55.64/55.72     (E(f1(x5551,x5551),f4(f1(x5552,x5552)))),
% 55.64/55.72     inference(scs_inference,[],[437,2])).
% 55.64/55.72  cnf(558,plain,
% 55.64/55.72     (E(f1(x5581,f1(x5582,x5582)),f1(x5581,f4(f1(x5583,x5583))))),
% 55.64/55.72     inference(scs_inference,[],[555,5])).
% 55.64/55.72  cnf(566,plain,
% 55.64/55.72     (E(f1(x5661,x5661),f4(f5(f1(x5662,x5662),f1(x5663,x5663))))),
% 55.64/55.72     inference(scs_inference,[],[533,2])).
% 55.64/55.72  cnf(574,plain,
% 55.64/55.72     (E(f5(f1(x5741,x5741),f4(f1(x5742,x5742))),f1(x5743,x5743))),
% 55.64/55.72     inference(scs_inference,[],[442,443,3])).
% 55.64/55.72  cnf(582,plain,
% 55.64/55.72     (E(f1(x5821,x5821),f5(f1(f1(x5822,x5822),f1(x5823,x5823)),f1(x5824,x5824)))),
% 55.64/55.72     inference(scs_inference,[],[452,2])).
% 55.64/55.72  cnf(593,plain,
% 55.64/55.72     (E(f1(f4(f1(x5931,x5931)),f1(x5932,x5932)),f1(f1(x5933,x5933),f1(x5934,x5934)))),
% 55.64/55.72     inference(scs_inference,[],[457,2])).
% 55.64/55.72  cnf(595,plain,
% 55.64/55.72     (E(f5(f1(f1(x5951,x5951),f1(x5952,x5952)),f1(x5953,x5953)),f1(f5(f1(x5954,x5954),f1(x5955,x5955)),f1(x5956,x5956)))),
% 55.64/55.72     inference(scs_inference,[],[452,455,3])).
% 55.64/55.72  cnf(606,plain,
% 55.64/55.72     (E(f1(x6061,x6061),f1(x6062,x6062))),
% 55.64/55.72     inference(scs_inference,[],[566,533,3])).
% 55.64/55.72  cnf(616,plain,
% 55.64/55.72     (E(f5(f4(f1(x6161,x6161)),f1(x6162,x6162)),f5(f5(f1(x6163,x6163),f1(x6164,x6164)),f1(x6165,x6165)))),
% 55.64/55.72     inference(scs_inference,[],[468,471,3])).
% 55.64/55.72  cnf(620,plain,
% 55.64/55.72     (E(f5(f1(f1(x6201,x6201),f1(x6202,x6202)),f4(f1(x6203,x6203))),f1(x6204,x6204))),
% 55.64/55.72     inference(scs_inference,[],[574,179,3])).
% 55.64/55.72  cnf(629,plain,
% 55.64/55.72     (E(f1(x6291,x6291),f5(f1(f1(x6292,x6292),f1(x6293,x6293)),f5(f1(x6294,x6294),f1(x6295,x6295))))),
% 55.64/55.72     inference(scs_inference,[],[486,487,582,2,3])).
% 55.64/55.72  cnf(640,plain,
% 55.64/55.72     (E(f1(f1(f1(x6401,x6401),f1(x6402,x6402)),f1(x6403,x6403)),f5(f5(f1(x6404,x6404),f1(x6405,x6405)),f1(x6406,x6406)))),
% 55.64/55.72     inference(scs_inference,[],[496,498,3])).
% 55.64/55.72  cnf(651,plain,
% 55.64/55.72     (E(f5(f5(f1(x6511,x6511),f1(x6512,x6512)),f1(x6513,x6513)),f1(f4(f1(x6514,x6514)),f1(x6515,x6515)))),
% 55.64/55.72     inference(scs_inference,[],[502,527,3])).
% 55.64/55.72  cnf(654,plain,
% 55.64/55.72     (E(f1(x6541,x6541),f1(f1(x6542,x6542),f5(f1(x6543,x6543),f1(x6544,x6544))))),
% 55.64/55.72     inference(scs_inference,[],[518,555,3])).
% 55.64/55.72  cnf(661,plain,
% 55.64/55.72     (E(f1(f4(f1(x6611,x6611)),f1(x6612,x6612)),f1(x6613,x6613))),
% 55.64/55.72     inference(scs_inference,[],[558,606,3])).
% 55.64/55.72  cnf(666,plain,
% 55.64/55.72     (E(f5(f5(f1(x6661,x6661),f1(x6662,x6662)),f1(x6663,x6663)),f1(f5(f1(x6664,x6664),f1(x6665,x6665)),f1(x6666,x6666)))),
% 55.64/55.72     inference(scs_inference,[],[513,522,595,2,3])).
% 55.64/55.72  cnf(688,plain,
% 55.64/55.72     (E(f1(f4(f1(x6881,x6881)),f1(x6882,x6882)),f5(f5(f1(x6883,x6883),f1(x6884,x6884)),f1(x6885,x6885)))),
% 55.64/55.72     inference(scs_inference,[],[593,640,3])).
% 55.64/55.72  cnf(702,plain,
% 55.64/55.72     (E(f1(x7021,x7021),f5(f1(f1(x7022,x7022),f1(x7023,x7023)),f4(f1(x7024,x7024))))),
% 55.64/55.72     inference(scs_inference,[],[620,2])).
% 55.64/55.72  cnf(717,plain,
% 55.64/55.72     (E(f5(f5(f1(x7171,x7171),f1(x7172,x7172)),f1(x7173,x7173)),f1(x7174,x7174))),
% 55.64/55.72     inference(scs_inference,[],[651,661,3])).
% 55.64/55.72  cnf(719,plain,
% 55.64/55.72     (E(f5(f1(f1(x7191,x7191),f1(x7192,x7192)),f5(f1(x7193,x7193),f1(x7194,x7194))),f1(x7195,x7195))),
% 55.64/55.72     inference(scs_inference,[],[629,651,661,3,2])).
% 55.64/55.72  cnf(727,plain,
% 55.64/55.72     (E(f1(f5(f1(x7271,x7271),f1(x7272,x7272)),f1(x7273,x7273)),f5(f5(f1(x7274,x7274),f1(x7275,x7275)),f1(x7276,x7276)))),
% 55.64/55.72     inference(scs_inference,[],[666,2])).
% 55.64/55.72  cnf(729,plain,
% 55.64/55.72     (E(f1(x7291,x7291),f1(f1(f1(x7292,x7292),f1(x7293,x7293)),f5(f1(x7294,x7294),f1(x7295,x7295))))),
% 55.64/55.72     inference(scs_inference,[],[654,195,3])).
% 55.64/55.72  cnf(733,plain,
% 55.64/55.72     (E(f1(x7331,x7331),f1(f5(f1(x7332,x7332),f1(x7333,x7333)),f1(x7334,x7334)))),
% 55.64/55.72     inference(scs_inference,[],[582,595,3])).
% 55.64/55.72  cnf(755,plain,
% 55.64/55.72     (E(f1(f1(f1(x7551,x7551),f1(x7552,x7552)),f5(f1(x7553,x7553),f1(x7554,x7554))),f1(x7555,x7555))),
% 55.64/55.72     inference(scs_inference,[],[729,2])).
% 55.64/55.72  cnf(767,plain,
% 55.64/55.72     (E(f5(f4(f1(x7671,x7671)),f1(x7672,x7672)),f1(x7673,x7673))),
% 55.64/55.72     inference(scs_inference,[],[616,717,3])).
% 55.64/55.72  cnf(774,plain,
% 55.64/55.72     (E(f1(f1(x7741,x7741),f4(f1(x7742,x7742))),f1(x7743,x7743))),
% 55.64/55.72     inference(scs_inference,[],[767,210,3])).
% 55.64/55.72  cnf(785,plain,
% 55.64/55.72     (E(f1(x7851,x7851),f5(f1(x7852,x7852),f1(f1(x7853,x7853),f1(x7854,x7854))))),
% 55.64/55.72     inference(scs_inference,[],[702,126,3])).
% 55.64/55.72  cnf(793,plain,
% 55.64/55.72     (E(f5(f1(x7931,x7931),f1(f1(x7932,x7932),f1(x7933,x7933))),f1(x7934,x7934))),
% 55.64/55.72     inference(scs_inference,[],[785,2])).
% 55.64/55.72  cnf(852,plain,
% 55.64/55.72     (E(f1(x8521,x8521),f1(f1(x8522,x8522),f4(f1(x8523,x8523))))),
% 55.64/55.72     inference(scs_inference,[],[774,2])).
% 55.64/55.72  cnf(853,plain,
% 55.64/55.72     (E(f5(f4(f1(x8531,x8531)),f5(f1(x8532,x8532),f1(x8533,x8533))),f1(x8534,x8534))),
% 55.64/55.72     inference(scs_inference,[],[719,774,217,2,3])).
% 55.64/55.72  cnf(864,plain,
% 55.64/55.72     (E(f5(f5(f1(x8641,x8641),f1(x8642,x8642)),f1(f1(x8643,x8643),f1(x8644,x8644))),f1(x8645,x8645))),
% 55.64/55.72     inference(scs_inference,[],[793,853,447,2,3])).
% 55.64/55.72  cnf(868,plain,
% 55.64/55.72     (E(f1(x8681,x8681),f1(f1(x8682,x8682),f1(f1(x8683,x8683),f1(x8684,x8684))))),
% 55.64/55.72     inference(scs_inference,[],[852,153,3])).
% 55.64/55.72  cnf(882,plain,
% 55.64/55.72     (E(f1(x8821,x8821),f5(f5(f1(x8822,x8822),f1(x8823,x8823)),f1(f1(x8824,x8824),f1(x8825,x8825))))),
% 55.64/55.72     inference(scs_inference,[],[864,2])).
% 55.64/55.72  cnf(887,plain,
% 55.64/55.72     (E(f5(f5(f1(x8871,x8871),f1(x8872,x8872)),f1(x8873,x8873)),f1(f1(f1(x8874,x8874),x8875),f4(x8875)))),
% 55.64/55.72     inference(scs_inference,[],[717,30,3])).
% 55.64/55.72  cnf(893,plain,
% 55.64/55.72     (E(f1(f5(f1(x8931,x8931),f1(x8932,x8932)),f1(x8933,x8933)),f1(f1(f1(x8934,x8934),x8935),f4(x8935)))),
% 55.64/55.72     inference(scs_inference,[],[727,868,887,2,3])).
% 55.64/55.72  cnf(898,plain,
% 55.64/55.72     (E(f1(x8981,x8981),f1(f1(f1(x8982,x8982),x8983),f4(x8983)))),
% 55.64/55.72     inference(scs_inference,[],[733,893,3])).
% 55.64/55.72  cnf(917,plain,
% 55.64/55.72     (E(f1(f1(f1(x9171,x9171),x9172),f4(x9172)),f1(x9173,x9173))),
% 55.64/55.72     inference(scs_inference,[],[898,2])).
% 55.64/55.72  cnf(1048,plain,
% 55.64/55.72     (E(f1(f1(f1(x10481,x10481),x10482),f1(f1(x10483,x10483),x10482)),f1(x10484,x10484))),
% 55.64/55.72     inference(scs_inference,[],[917,17,3])).
% 55.64/55.72  cnf(1051,plain,
% 55.64/55.72     (E(f1(x10511,x10511),f1(f1(f1(x10512,x10512),x10513),f1(f1(x10514,x10514),x10513)))),
% 55.64/55.72     inference(scs_inference,[],[1048,2])).
% 55.64/55.72  cnf(1093,plain,
% 55.64/55.72     (E(f1(x10931,x10931),f1(f4(x10932),f1(f1(x10933,x10933),x10932)))),
% 55.64/55.72     inference(scs_inference,[],[1051,18,3])).
% 55.64/55.72  cnf(1101,plain,
% 55.64/55.72     (E(f5(f1(x11011,x11011),f1(x11012,x11012)),f1(f4(x11013),f1(f1(x11014,x11014),x11013)))),
% 55.64/55.72     inference(scs_inference,[],[1093,119,3])).
% 55.64/55.72  cnf(1105,plain,
% 55.64/55.72     (E(f1(f4(x11051),f1(f1(x11052,x11052),x11051)),f5(f1(x11053,x11053),f1(x11054,x11054)))),
% 55.64/55.72     inference(scs_inference,[],[1101,2])).
% 55.64/55.72  cnf(1107,plain,
% 55.64/55.72     (E(f1(f4(x11071),f1(f1(x11072,x11072),x11071)),f4(f1(x11073,x11073)))),
% 55.64/55.72     inference(scs_inference,[],[1105,315,3])).
% 55.64/55.72  cnf(1113,plain,
% 55.64/55.72     (E(f4(f1(x11131,x11131)),f1(f4(x11132),f1(f1(x11133,x11133),x11132)))),
% 55.64/55.72     inference(scs_inference,[],[1107,2])).
% 55.64/55.72  cnf(1119,plain,
% 55.64/55.72     (E(f1(f4(x11191),f1(f1(x11192,x11192),x11191)),f1(f1(x11193,x11193),f1(x11194,x11194)))),
% 55.64/55.72     inference(scs_inference,[],[1105,322,3])).
% 55.64/55.72  cnf(1127,plain,
% 55.64/55.72     (E(f5(f4(x11271),x11271),f1(f1(x11272,x11272),f1(x11273,x11273)))),
% 55.64/55.72     inference(scs_inference,[],[1119,28,3])).
% 55.64/55.72  cnf(1131,plain,
% 55.64/55.72     (E(f1(f4(x11311),f1(f1(x11312,x11312),x11311)),f5(f4(x11313),x11313))),
% 55.64/55.72     inference(scs_inference,[],[1119,1127,2,3])).
% 55.64/55.72  cnf(1139,plain,
% 55.64/55.72     (E(f5(f4(x11391),x11391),f1(f4(x11392),f1(f1(x11393,x11393),x11392)))),
% 55.64/55.72     inference(scs_inference,[],[10,1131,1113,3,2])).
% 55.64/55.72  cnf(1151,plain,
% 55.64/55.72     (E(f5(f4(x11511),x11511),f5(f5(f1(x11512,x11512),f1(x11513,x11513)),f1(x11514,x11514)))),
% 55.64/55.72     inference(scs_inference,[],[1139,688,3])).
% 55.64/55.72  cnf(1166,plain,
% 55.64/55.72     (E(f5(f5(f1(x11661,x11661),f1(x11662,x11662)),f1(x11663,x11663)),f5(f4(x11664),x11664))),
% 55.64/55.72     inference(scs_inference,[],[1151,2])).
% 55.64/55.72  cnf(1172,plain,
% 55.64/55.72     (E(f1(x11721,x11721),f5(f4(x11722),x11722))),
% 55.64/55.72     inference(scs_inference,[],[1166,882,3])).
% 55.64/55.72  cnf(1179,plain,
% 55.64/55.72     (E(f1(f1(x11791,x11791),x11792),f1(f5(f4(x11793),x11793),x11792))),
% 55.64/55.72     inference(scs_inference,[],[1172,6,8,5,4])).
% 55.64/55.72  cnf(1196,plain,
% 55.64/55.72     (~E(a3,f1(f1(x11961,x11961),f4(a3)))),
% 55.64/55.72     inference(scs_inference,[],[37,1179,3])).
% 55.64/55.72  cnf(1197,plain,
% 55.64/55.72     (E(f1(f1(x11971,x11971),x11972),f1(f5(f4(x11973),x11973),x11972))),
% 55.64/55.72     inference(rename_variables,[],[1179])).
% 55.64/55.72  cnf(1198,plain,
% 55.64/55.72     (E(f1(f5(f4(x11981),x11981),x11982),f1(f1(x11983,x11983),x11982))),
% 55.64/55.72     inference(scs_inference,[],[37,1179,1197,3,2])).
% 55.64/55.72  cnf(1203,plain,
% 55.64/55.72     (~E(f1(f1(x12031,x12031),f4(a3)),a3)),
% 55.64/55.72     inference(scs_inference,[],[1198,1196,755,3,2])).
% 55.64/55.72  cnf(1268,plain,
% 55.64/55.72     (~E(f4(a3),f4(f1(a3,f1(x12681,x12681))))),
% 55.64/55.72     inference(scs_inference,[],[1203,59,3,2,5])).
% 55.64/55.72  cnf(1270,plain,
% 55.64/55.72     ($false),
% 55.64/55.72     inference(scs_inference,[],[1268,26,8]),
% 55.64/55.72     ['proof']).
% 55.64/55.72  % SZS output end Proof
% 55.64/55.72  % Total time :55.060000s
%------------------------------------------------------------------------------