TSTP Solution File: GRP166-3 by CSE---1.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE---1.6
% Problem  : GRP166-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d

% Computer : n029.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 00:11:21 EDT 2023

% Result   : Unsatisfiable 74.67s 74.73s
% Output   : CNFRefutation 74.67s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : GRP166-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.07/0.14  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.35  % Computer : n029.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 29 00:21:26 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.21/0.56  start to proof:theBenchmark
% 74.67/74.72  %-------------------------------------------
% 74.67/74.72  % File        :CSE---1.6
% 74.67/74.72  % Problem     :theBenchmark
% 74.67/74.72  % Transform   :cnf
% 74.67/74.72  % Format      :tptp:raw
% 74.67/74.72  % Command     :java -jar mcs_scs.jar %d %s
% 74.67/74.72  
% 74.67/74.72  % Result      :Theorem 74.090000s
% 74.67/74.72  % Output      :CNFRefutation 74.090000s
% 74.67/74.72  %-------------------------------------------
% 74.67/74.73  %--------------------------------------------------------------------------
% 74.67/74.73  % File     : GRP166-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% 74.67/74.73  % Domain   : Group Theory (Lattice Ordered)
% 74.67/74.73  % Problem  : Multiplication with a positive element increases a value
% 74.67/74.73  % Version  : [Fuc94] (equality) axioms.
% 74.67/74.73  %            Theorem formulation : Uses a different positive element.
% 74.67/74.73  % English  :
% 74.67/74.73  
% 74.67/74.73  % Refs     : [Fuc94] Fuchs (1994), The Application of Goal-Orientated Heuri
% 74.67/74.73  %          : [Sch95] Schulz (1995), Explanation Based Learning for Distribu
% 74.67/74.73  % Source   : [Sch95]
% 74.67/74.73  % Names    : lat3a [Sch95]
% 74.67/74.73  
% 74.67/74.73  % Status   : Unsatisfiable
% 74.67/74.73  % Rating   : 0.00 v7.4.0, 0.04 v7.3.0, 0.00 v7.0.0, 0.05 v6.3.0, 0.06 v6.2.0, 0.07 v6.1.0, 0.06 v6.0.0, 0.10 v5.5.0, 0.05 v5.4.0, 0.00 v3.4.0, 0.12 v3.3.0, 0.00 v2.0.0
% 74.67/74.73  % Syntax   : Number of clauses     :   18 (  18 unt;   0 nHn;   3 RR)
% 74.67/74.73  %            Number of literals    :   18 (  18 equ;   1 neg)
% 74.67/74.73  %            Maximal clause size   :    1 (   1 avg)
% 74.67/74.73  %            Maximal term depth    :    3 (   2 avg)
% 74.67/74.73  %            Number of predicates  :    1 (   0 usr;   0 prp; 2-2 aty)
% 74.67/74.73  %            Number of functors    :    7 (   7 usr;   3 con; 0-2 aty)
% 74.67/74.73  %            Number of variables   :   33 (   2 sgn)
% 74.67/74.73  % SPC      : CNF_UNS_RFO_PEQ_UEQ
% 74.67/74.73  
% 74.67/74.73  % Comments : ORDERING LPO inverse > product > greatest_lower_bound >
% 74.67/74.73  %            least_upper_bound > identity > a > b
% 74.67/74.73  % Bugfixes : v1.2.1 - Duplicate axioms in GRP004-2.ax removed.
% 74.67/74.73  %--------------------------------------------------------------------------
% 74.67/74.73  %----Include equality group theory axioms
% 74.67/74.73  include('Axioms/GRP004-0.ax').
% 74.67/74.73  %----Include Lattice ordered group (equality) axioms
% 74.67/74.73  include('Axioms/GRP004-2.ax').
% 74.67/74.73  %--------------------------------------------------------------------------
% 74.67/74.73  cnf(lat3a_1,hypothesis,
% 74.67/74.73      least_upper_bound(a,identity) = a ).
% 74.67/74.73  
% 74.67/74.73  cnf(lat3a_2,hypothesis,
% 74.67/74.73      least_upper_bound(b,identity) = b ).
% 74.67/74.73  
% 74.67/74.73  cnf(prove_lat3a,negated_conjecture,
% 74.67/74.73      least_upper_bound(a,multiply(b,a)) != multiply(b,a) ).
% 74.67/74.73  
% 74.67/74.73  %--------------------------------------------------------------------------
% 74.67/74.73  %-------------------------------------------
% 74.67/74.73  % Proof found
% 74.67/74.73  % SZS status Theorem for theBenchmark
% 74.67/74.73  % SZS output start Proof
% 74.67/74.74  %ClaNum:28(EqnAxiom:10)
% 74.67/74.74  %VarNum:72(SingletonVarNum:33)
% 74.67/74.74  %MaxLitNum:1
% 74.67/74.74  %MaxfuncDepth:2
% 74.67/74.74  %SharedTerms:10
% 74.67/74.74  %goalClause: 28
% 74.67/74.74  %singleGoalClaCount:1
% 74.67/74.74  [11]E(f5(a1,a2),a1)
% 74.67/74.74  [12]E(f5(a3,a2),a3)
% 74.67/74.74  [28]~E(f5(a1,f7(a3,a1)),f7(a3,a1))
% 74.67/74.74  [13]E(f7(a2,x131),x131)
% 74.67/74.74  [14]E(f4(x141,x141),x141)
% 74.67/74.74  [15]E(f5(x151,x151),x151)
% 74.67/74.74  [16]E(f7(f6(x161),x161),a2)
% 74.67/74.74  [17]E(f4(x171,x172),f4(x172,x171))
% 74.67/74.74  [18]E(f5(x181,x182),f5(x182,x181))
% 74.67/74.74  [19]E(f4(x191,f5(x191,x192)),x191)
% 74.67/74.74  [20]E(f5(x201,f4(x201,x202)),x201)
% 74.67/74.74  [21]E(f4(f4(x211,x212),x213),f4(x211,f4(x212,x213)))
% 74.67/74.74  [22]E(f5(f5(x221,x222),x223),f5(x221,f5(x222,x223)))
% 74.67/74.74  [23]E(f7(f7(x231,x232),x233),f7(x231,f7(x232,x233)))
% 74.67/74.74  [24]E(f4(f7(x241,x242),f7(x241,x243)),f7(x241,f4(x242,x243)))
% 74.67/74.74  [25]E(f5(f7(x251,x252),f7(x251,x253)),f7(x251,f5(x252,x253)))
% 74.67/74.74  [26]E(f4(f7(x261,x262),f7(x263,x262)),f7(f4(x261,x263),x262))
% 74.67/74.74  [27]E(f5(f7(x271,x272),f7(x273,x272)),f7(f5(x271,x273),x272))
% 74.67/74.74  %EqnAxiom
% 74.67/74.74  [1]E(x11,x11)
% 74.67/74.74  [2]E(x22,x21)+~E(x21,x22)
% 74.67/74.74  [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 74.67/74.74  [4]~E(x41,x42)+E(f5(x41,x43),f5(x42,x43))
% 74.67/74.74  [5]~E(x51,x52)+E(f5(x53,x51),f5(x53,x52))
% 74.67/74.74  [6]~E(x61,x62)+E(f7(x61,x63),f7(x62,x63))
% 74.67/74.74  [7]~E(x71,x72)+E(f7(x73,x71),f7(x73,x72))
% 74.67/74.74  [8]~E(x81,x82)+E(f4(x81,x83),f4(x82,x83))
% 74.67/74.74  [9]~E(x91,x92)+E(f4(x93,x91),f4(x93,x92))
% 74.67/74.74  [10]~E(x101,x102)+E(f6(x101),f6(x102))
% 74.67/74.74  
% 74.67/74.74  %-------------------------------------------
% 74.67/74.75  cnf(29,plain,
% 74.67/74.75     (E(a1,f5(a1,a2))),
% 74.67/74.75     inference(scs_inference,[],[11,2])).
% 74.67/74.75  cnf(30,plain,
% 74.67/74.75     (E(f4(f5(a1,a2),f5(a1,a2)),a1)),
% 74.67/74.75     inference(scs_inference,[],[11,14,2,3])).
% 74.67/74.75  cnf(33,plain,
% 74.67/74.75     (E(f4(x331,f5(a1,a2)),f4(x331,a1))),
% 74.67/74.75     inference(scs_inference,[],[11,14,2,3,10,9])).
% 74.67/74.75  cnf(34,plain,
% 74.67/74.75     (E(f4(f5(a1,a2),x341),f4(a1,x341))),
% 74.67/74.75     inference(scs_inference,[],[11,14,2,3,10,9,8])).
% 74.67/74.75  cnf(35,plain,
% 74.67/74.75     (E(f7(x351,f5(a1,a2)),f7(x351,a1))),
% 74.67/74.75     inference(scs_inference,[],[11,14,2,3,10,9,8,7])).
% 74.67/74.75  cnf(36,plain,
% 74.67/74.75     (E(f7(f5(a1,a2),x361),f7(a1,x361))),
% 74.67/74.75     inference(scs_inference,[],[11,14,2,3,10,9,8,7,6])).
% 74.67/74.75  cnf(37,plain,
% 74.67/74.75     (E(f5(x371,f5(a1,a2)),f5(x371,a1))),
% 74.67/74.75     inference(scs_inference,[],[11,14,2,3,10,9,8,7,6,5])).
% 74.67/74.75  cnf(38,plain,
% 74.67/74.75     (E(f5(f5(a1,a2),x381),f5(a1,x381))),
% 74.67/74.75     inference(scs_inference,[],[11,14,2,3,10,9,8,7,6,5,4])).
% 74.67/74.75  cnf(39,plain,
% 74.67/74.75     (~E(f7(a3,a1),f5(a1,f7(a3,a1)))),
% 74.67/74.75     inference(scs_inference,[],[28,2])).
% 74.67/74.75  cnf(40,plain,
% 74.67/74.75     (~E(f5(f7(a3,a1),a1),f7(a3,a1))),
% 74.67/74.75     inference(scs_inference,[],[28,18,2,3])).
% 74.67/74.75  cnf(42,plain,
% 74.67/74.75     (E(a3,f5(a3,a2))),
% 74.67/74.75     inference(scs_inference,[],[12,2])).
% 74.67/74.75  cnf(43,plain,
% 74.67/74.75     (E(f5(f5(a1,a2),f5(a1,a2)),a1)),
% 74.67/74.75     inference(scs_inference,[],[11,12,15,2,3])).
% 74.67/74.75  cnf(45,plain,
% 74.67/74.75     (~E(f7(a3,a1),f5(f7(a3,a1),a1))),
% 74.67/74.75     inference(scs_inference,[],[40,2])).
% 74.67/74.75  cnf(46,plain,
% 74.67/74.75     (~E(f5(f7(a3,a1),a1),f7(a2,f7(a3,a1)))),
% 74.67/74.75     inference(scs_inference,[],[13,40,2,3])).
% 74.67/74.75  cnf(48,plain,
% 74.67/74.75     (E(a1,f4(f5(a1,a2),f5(a1,a2)))),
% 74.67/74.75     inference(scs_inference,[],[30,2])).
% 74.67/74.75  cnf(49,plain,
% 74.67/74.75     (~E(f5(a1,f7(a3,a1)),f7(a2,f7(a3,a1)))),
% 74.67/74.75     inference(scs_inference,[],[30,18,46,2,3])).
% 74.67/74.75  cnf(51,plain,
% 74.67/74.75     (E(f6(f5(a3,a2)),f6(a3))),
% 74.67/74.75     inference(scs_inference,[],[12,30,18,46,2,3,10])).
% 74.67/74.75  cnf(52,plain,
% 74.67/74.75     (E(f4(x521,f5(a3,a2)),f4(x521,a3))),
% 74.67/74.75     inference(scs_inference,[],[12,30,18,46,2,3,10,9])).
% 74.67/74.75  cnf(56,plain,
% 74.67/74.75     (E(f4(f5(a3,a2),x561),f4(a3,x561))),
% 74.67/74.75     inference(scs_inference,[],[12,30,18,46,2,3,10,9,7,5,4,8])).
% 74.67/74.75  cnf(57,plain,
% 74.67/74.75     (E(f7(f5(a3,a2),x571),f7(a3,x571))),
% 74.67/74.75     inference(scs_inference,[],[12,30,18,46,2,3,10,9,7,5,4,8,6])).
% 74.67/74.75  cnf(58,plain,
% 74.67/74.75     (~E(f7(a2,f7(a3,a1)),f5(a1,f7(a3,a1)))),
% 74.67/74.75     inference(scs_inference,[],[49,2])).
% 74.67/74.75  cnf(59,plain,
% 74.67/74.75     (E(a1,f5(a2,a1))),
% 74.67/74.75     inference(scs_inference,[],[29,18,49,2,3])).
% 74.67/74.75  cnf(61,plain,
% 74.67/74.75     (E(x611,f7(a2,x611))),
% 74.67/74.75     inference(scs_inference,[],[13,2])).
% 74.67/74.75  cnf(64,plain,
% 74.67/74.75     (~E(f7(a2,f7(a3,a1)),f5(f7(a3,a1),a1))),
% 74.67/74.75     inference(scs_inference,[],[46,2])).
% 74.67/74.75  cnf(65,plain,
% 74.67/74.75     (E(f4(f7(a2,x651),f5(f7(a2,x651),x652)),x651)),
% 74.67/74.75     inference(scs_inference,[],[13,19,46,2,3])).
% 74.67/74.75  cnf(67,plain,
% 74.67/74.75     (E(x671,f4(x671,x671))),
% 74.67/74.75     inference(scs_inference,[],[14,2])).
% 74.67/74.75  cnf(68,plain,
% 74.67/74.75     (~E(f5(f7(a3,a1),a1),f4(f7(a3,a1),f7(a3,a1)))),
% 74.67/74.75     inference(scs_inference,[],[14,40,2,3])).
% 74.67/74.75  cnf(69,plain,
% 74.67/74.75     (E(f4(x691,x691),x691)),
% 74.67/74.75     inference(rename_variables,[],[14])).
% 74.67/74.75  cnf(70,plain,
% 74.67/74.75     (E(f6(f4(x701,x701)),f6(x701))),
% 74.67/74.75     inference(scs_inference,[],[14,69,40,2,3,10])).
% 74.67/74.75  cnf(71,plain,
% 74.67/74.75     (E(f4(x711,f4(x712,x712)),f4(x711,x712))),
% 74.67/74.75     inference(scs_inference,[],[14,69,40,2,3,10,9])).
% 74.67/74.75  cnf(72,plain,
% 74.67/74.75     (E(f5(x721,f4(x722,x722)),f5(x721,x722))),
% 74.67/74.75     inference(scs_inference,[],[14,69,40,2,3,10,9,5])).
% 74.67/74.75  cnf(73,plain,
% 74.67/74.75     (E(f4(f4(x731,x731),x732),f4(x731,x732))),
% 74.67/74.75     inference(scs_inference,[],[14,69,40,2,3,10,9,5,8])).
% 74.67/74.75  cnf(74,plain,
% 74.67/74.75     (E(f7(x741,f4(x742,x742)),f7(x741,x742))),
% 74.67/74.75     inference(scs_inference,[],[14,69,40,2,3,10,9,5,8,7])).
% 74.67/74.75  cnf(75,plain,
% 74.67/74.75     (E(f7(f4(x751,x751),x752),f7(x751,x752))),
% 74.67/74.75     inference(scs_inference,[],[14,69,40,2,3,10,9,5,8,7,6])).
% 74.67/74.75  cnf(76,plain,
% 74.67/74.75     (E(f5(f4(x761,x761),x762),f5(x761,x762))),
% 74.67/74.75     inference(scs_inference,[],[14,69,40,2,3,10,9,5,8,7,6,4])).
% 74.67/74.75  cnf(77,plain,
% 74.67/74.75     (~E(f4(f7(a3,a1),f7(a3,a1)),f5(f7(a3,a1),a1))),
% 74.67/74.75     inference(scs_inference,[],[68,2])).
% 74.67/74.75  cnf(78,plain,
% 74.67/74.75     (E(f4(a1,a1),f5(a1,a2))),
% 74.67/74.75     inference(scs_inference,[],[14,29,68,2,3])).
% 74.67/74.76  cnf(80,plain,
% 74.67/74.76     (E(x801,f5(x801,x801))),
% 74.67/74.76     inference(scs_inference,[],[15,2])).
% 74.67/74.76  cnf(81,plain,
% 74.67/74.76     (E(f4(f5(a1,a2),f5(a1,a2)),f4(a1,a1))),
% 74.67/74.76     inference(scs_inference,[],[15,33,34,2,3])).
% 74.67/74.76  cnf(84,plain,
% 74.67/74.76     (~E(f5(a1,f7(a3,a1)),f5(f7(a3,a1),f7(a3,a1)))),
% 74.67/74.76     inference(scs_inference,[],[15,28,3])).
% 74.67/74.76  cnf(86,plain,
% 74.67/74.76     (~E(a1,f7(a3,a1))),
% 74.67/74.76     inference(scs_inference,[],[15,28,3,4])).
% 74.67/74.76  cnf(87,plain,
% 74.67/74.76     (~E(f5(f7(a3,a1),f7(a3,a1)),f5(a1,f7(a3,a1)))),
% 74.67/74.76     inference(scs_inference,[],[15,28,3,4,2])).
% 74.67/74.76  cnf(89,plain,
% 74.67/74.76     (E(a2,f7(f6(x891),x891))),
% 74.67/74.76     inference(scs_inference,[],[16,4,2])).
% 74.67/74.76  cnf(90,plain,
% 74.67/74.76     (E(f7(f6(a1),f5(a1,a2)),a2)),
% 74.67/74.76     inference(scs_inference,[],[16,35,4,2,3])).
% 74.67/74.76  cnf(91,plain,
% 74.67/74.76     (E(f7(f6(x911),x911),a2)),
% 74.67/74.76     inference(rename_variables,[],[16])).
% 74.67/74.76  cnf(97,plain,
% 74.67/74.76     (E(f5(x971,f7(f6(x972),x972)),f5(x971,a2))),
% 74.67/74.76     inference(scs_inference,[],[16,91,35,4,2,3,10,9,8,6,5])).
% 74.67/74.76  cnf(99,plain,
% 74.67/74.76     (~E(f7(a3,a1),a1)),
% 74.67/74.76     inference(scs_inference,[],[87,4])).
% 74.67/74.76  cnf(100,plain,
% 74.67/74.76     (E(f7(f6(x1001),x1001),f4(a2,a2))),
% 74.67/74.76     inference(scs_inference,[],[16,67,87,4,3])).
% 74.67/74.76  cnf(103,plain,
% 74.67/74.76     (~E(a1,f5(f7(a3,a1),f4(f7(a3,a1),x1031)))),
% 74.67/74.76     inference(scs_inference,[],[17,20,86,4,3])).
% 74.67/74.76  cnf(107,plain,
% 74.67/74.76     (E(f4(x1071,f4(x1072,x1073)),f4(x1072,f4(x1073,x1071)))),
% 74.67/74.76     inference(scs_inference,[],[17,36,21,2,3])).
% 74.67/74.76  cnf(110,plain,
% 74.67/74.76     (E(f5(f5(x1101,x1102),x1103),f5(f5(x1102,x1101),x1103))),
% 74.67/74.76     inference(scs_inference,[],[18,4])).
% 74.67/74.76  cnf(111,plain,
% 74.67/74.76     (~E(f5(f7(a3,a1),a1),f5(f7(a3,a1),f7(a3,a1)))),
% 74.67/74.76     inference(scs_inference,[],[18,84,4,3])).
% 74.67/74.76  cnf(112,plain,
% 74.67/74.76     (E(f5(x1121,x1122),f5(x1122,x1121))),
% 74.67/74.76     inference(rename_variables,[],[18])).
% 74.67/74.76  cnf(113,plain,
% 74.67/74.76     (E(f6(f5(x1131,x1132)),f6(f5(x1132,x1131)))),
% 74.67/74.76     inference(scs_inference,[],[18,112,84,4,3,10])).
% 74.67/74.76  cnf(114,plain,
% 74.67/74.76     (E(f4(x1141,f5(x1142,x1143)),f4(x1141,f5(x1143,x1142)))),
% 74.67/74.76     inference(scs_inference,[],[18,112,84,4,3,10,9])).
% 74.67/74.76  cnf(115,plain,
% 74.67/74.76     (E(f4(f5(x1151,x1152),x1153),f4(f5(x1152,x1151),x1153))),
% 74.67/74.76     inference(scs_inference,[],[18,112,84,4,3,10,9,8])).
% 74.67/74.76  cnf(119,plain,
% 74.67/74.76     (~E(f5(f7(a3,a1),f7(a3,a1)),f5(f7(a3,a1),a1))),
% 74.67/74.76     inference(scs_inference,[],[18,112,84,4,3,10,9,8,5,7,6,2])).
% 74.67/74.76  cnf(120,plain,
% 74.67/74.76     (E(f5(x1201,a1),f5(x1201,f5(a1,a2)))),
% 74.67/74.76     inference(scs_inference,[],[37,2])).
% 74.67/74.76  cnf(121,plain,
% 74.67/74.76     (~E(f4(f7(a3,a1),f7(a3,a1)),f5(a1,f7(a3,a1)))),
% 74.67/74.76     inference(scs_inference,[],[18,37,77,2,3])).
% 74.67/74.76  cnf(124,plain,
% 74.67/74.76     (E(f4(f5(a1,a2),f5(a1,x1241)),a1)),
% 74.67/74.76     inference(scs_inference,[],[19,34,121,2,3])).
% 74.67/74.76  cnf(127,plain,
% 74.67/74.76     (E(x1271,f4(x1271,f5(x1271,x1272)))),
% 74.67/74.76     inference(scs_inference,[],[19,2])).
% 74.67/74.76  cnf(131,plain,
% 74.67/74.76     (~E(f7(a3,a1),f5(a1,f4(a1,x1311)))),
% 74.67/74.76     inference(scs_inference,[],[20,99,3])).
% 74.67/74.76  cnf(132,plain,
% 74.67/74.76     (E(f5(x1321,f4(x1321,x1322)),x1321)),
% 74.67/74.76     inference(rename_variables,[],[20])).
% 74.67/74.76  cnf(133,plain,
% 74.67/74.76     (E(f6(f5(x1331,f4(x1331,x1332))),f6(x1331))),
% 74.67/74.76     inference(scs_inference,[],[20,132,99,3,10])).
% 74.67/74.76  cnf(134,plain,
% 74.67/74.76     (E(f4(x1341,f5(x1342,f4(x1342,x1343))),f4(x1341,x1342))),
% 74.67/74.76     inference(scs_inference,[],[20,132,99,3,10,9])).
% 74.67/74.76  cnf(145,plain,
% 74.67/74.76     (E(a3,f5(f5(a3,a2),f5(a3,a2)))),
% 74.67/74.76     inference(scs_inference,[],[42,80,3])).
% 74.67/74.76  cnf(148,plain,
% 74.67/74.76     (~E(f7(a3,a1),f5(f5(a1,a2),f7(a3,a1)))),
% 74.67/74.76     inference(scs_inference,[],[21,39,38,2,3])).
% 74.67/74.76  cnf(150,plain,
% 74.67/74.76     (~E(f5(f5(a1,a2),f7(a3,a1)),f7(a3,a1))),
% 74.67/74.76     inference(scs_inference,[],[148,2])).
% 74.67/74.76  cnf(151,plain,
% 74.67/74.76     (E(f5(f5(x1511,x1512),f5(a1,a2)),f5(x1511,f5(x1512,a1)))),
% 74.67/74.76     inference(scs_inference,[],[22,37,148,2,3])).
% 74.67/74.76  cnf(155,plain,
% 74.67/74.76     (E(f4(x1551,f5(f5(a1,a2),f5(a1,a2))),f4(x1551,a1))),
% 74.67/74.76     inference(scs_inference,[],[22,43,37,148,2,3,10,9])).
% 74.67/74.76  cnf(161,plain,
% 74.67/74.76     (E(f5(x1611,f5(x1612,x1613)),f5(f5(x1611,x1612),x1613))),
% 74.67/74.76     inference(scs_inference,[],[22,2])).
% 74.67/74.76  cnf(162,plain,
% 74.67/74.76     (~E(f5(a1,f5(a2,f7(a3,a1))),f7(a3,a1))),
% 74.67/74.76     inference(scs_inference,[],[22,150,2,3])).
% 74.67/74.76  cnf(165,plain,
% 74.67/74.76     (~E(f7(a3,a1),f5(f7(a3,a1),f5(a1,a2)))),
% 74.67/74.76     inference(scs_inference,[],[45,37,162,2,3])).
% 74.67/74.76  cnf(168,plain,
% 74.67/74.76     (E(f5(f7(x1681,a1),f7(x1681,a2)),f7(x1681,a1))),
% 74.67/74.76     inference(scs_inference,[],[23,25,35,2,3])).
% 74.67/74.76  cnf(172,plain,
% 74.67/74.76     (~E(f7(a3,f4(a1,a1)),f5(f7(a3,a1),a1))),
% 74.67/74.76     inference(scs_inference,[],[24,165,77,2,3])).
% 74.67/74.76  cnf(176,plain,
% 74.67/74.76     (E(f7(a3,x1761),f7(f5(a3,a2),x1761))),
% 74.67/74.76     inference(scs_inference,[],[24,42,165,77,2,3,10,9,6])).
% 74.67/74.76  cnf(186,plain,
% 74.67/74.76     (E(f7(x1861,f5(x1862,x1863)),f5(f7(x1861,x1862),f7(x1861,x1863)))),
% 74.67/74.76     inference(scs_inference,[],[25,2])).
% 74.67/74.76  cnf(187,plain,
% 74.67/74.76     (~E(f7(a3,f5(a1,a1)),f5(f7(a3,a1),a1))),
% 74.67/74.76     inference(scs_inference,[],[25,119,2,3])).
% 74.67/74.76  cnf(189,plain,
% 74.67/74.76     (~E(f5(f7(a3,a1),a1),f7(a3,f5(a1,a1)))),
% 74.67/74.76     inference(scs_inference,[],[187,2])).
% 74.67/74.76  cnf(190,plain,
% 74.67/74.76     (~E(f7(a2,f7(a3,a1)),f5(f7(a3,a1),f5(a1,a2)))),
% 74.67/74.76     inference(scs_inference,[],[37,64,187,2,3])).
% 74.67/74.76  cnf(204,plain,
% 74.67/74.76     (~E(f7(f5(a3,a3),a1),f5(f7(a3,a1),a1))),
% 74.67/74.76     inference(scs_inference,[],[27,190,119,2,3])).
% 74.67/74.76  cnf(206,plain,
% 74.67/74.76     (E(f7(f5(x2061,x2062),x2063),f5(f7(x2061,x2063),f7(x2062,x2063)))),
% 74.67/74.76     inference(scs_inference,[],[27,2])).
% 74.67/74.76  cnf(207,plain,
% 74.67/74.76     (~E(f7(a2,f7(a3,a1)),f5(f5(a1,a2),f7(a3,a1)))),
% 74.67/74.76     inference(scs_inference,[],[27,38,58,2,3])).
% 74.67/74.76  cnf(209,plain,
% 74.67/74.76     (~E(f5(f5(a1,a2),f7(a3,a1)),f7(a2,f7(a3,a1)))),
% 74.67/74.76     inference(scs_inference,[],[207,2])).
% 74.67/74.76  cnf(223,plain,
% 74.67/74.76     (~E(f7(f5(a3,a3),a1),f5(f7(a3,a1),f5(a1,a2)))),
% 74.67/74.76     inference(scs_inference,[],[37,204,2,3])).
% 74.67/74.76  cnf(228,plain,
% 74.67/74.76     (~E(f5(f7(a3,a1),f5(a1,a2)),f7(f5(a3,a3),a1))),
% 74.67/74.76     inference(scs_inference,[],[223,2])).
% 74.67/74.76  cnf(239,plain,
% 74.67/74.76     (E(f4(x2391,x2392),f4(x2391,f4(x2392,x2392)))),
% 74.67/74.76     inference(scs_inference,[],[71,2])).
% 74.67/74.76  cnf(240,plain,
% 74.67/74.76     (~E(f5(f7(a3,a1),f5(a1,a2)),f7(f5(a3,a3),f5(a1,a2)))),
% 74.67/74.76     inference(scs_inference,[],[35,71,228,2,3])).
% 74.67/74.76  cnf(242,plain,
% 74.67/74.76     (~E(f7(f5(a3,a3),f5(a1,a2)),f5(f7(a3,a1),f5(a1,a2)))),
% 74.67/74.76     inference(scs_inference,[],[240,2])).
% 74.67/74.76  cnf(246,plain,
% 74.67/74.76     (E(f5(x2461,x2462),f5(x2461,f4(x2462,x2462)))),
% 74.67/74.76     inference(scs_inference,[],[72,2])).
% 74.67/74.76  cnf(250,plain,
% 74.67/74.76     (~E(f5(f7(a3,a1),a1),f5(f4(f7(a3,a1),f7(a3,a1)),f7(a3,a1)))),
% 74.67/74.76     inference(scs_inference,[],[76,111,172,2,3])).
% 74.67/74.76  cnf(260,plain,
% 74.67/74.76     (E(f7(f5(a1,a2),f5(a1,a2)),f7(a1,a1))),
% 74.67/74.76     inference(scs_inference,[],[35,36,73,2,3])).
% 74.67/74.76  cnf(263,plain,
% 74.67/74.76     (~E(f5(f4(f7(a3,a1),f7(a3,a1)),f7(a3,a1)),f5(f7(a3,a1),a1))),
% 74.67/74.76     inference(scs_inference,[],[250,2])).
% 74.67/74.76  cnf(264,plain,
% 74.67/74.76     (E(f4(f5(a3,a2),f5(a3,a2)),f4(a3,a3))),
% 74.67/74.76     inference(scs_inference,[],[56,52,250,2,3])).
% 74.67/74.76  cnf(268,plain,
% 74.67/74.76     (~E(f5(f7(a3,a1),a1),f7(f5(a3,a2),a1))),
% 74.67/74.76     inference(scs_inference,[],[57,40,74,2,3])).
% 74.67/74.76  cnf(270,plain,
% 74.67/74.76     (~E(f7(f5(a3,a2),a1),f5(f7(a3,a1),a1))),
% 74.67/74.76     inference(scs_inference,[],[268,2])).
% 74.67/74.76  cnf(281,plain,
% 74.67/74.76     (E(f7(x2811,x2812),f7(f4(x2811,x2811),x2812))),
% 74.67/74.76     inference(scs_inference,[],[75,2])).
% 74.67/74.76  cnf(288,plain,
% 74.67/74.76     (E(f5(a2,a1),a1)),
% 74.67/74.76     inference(scs_inference,[],[59,2])).
% 74.67/74.76  cnf(302,plain,
% 74.67/74.76     (E(f4(x3021,f4(x3022,x3023)),f4(x3023,f4(x3021,x3022)))),
% 74.67/74.76     inference(scs_inference,[],[107,2])).
% 74.67/74.76  cnf(327,plain,
% 74.67/74.76     (~E(f7(a3,a1),f5(f5(a1,a2),f5(a1,a2)))),
% 74.67/74.76     inference(scs_inference,[],[43,65,99,2,3])).
% 74.67/74.76  cnf(328,plain,
% 74.67/74.76     (~E(f5(f5(a1,a2),f5(a1,a2)),f7(a3,a1))),
% 74.67/74.76     inference(scs_inference,[],[327,2])).
% 74.67/74.76  cnf(349,plain,
% 74.67/74.76     (E(f6(a3),f6(f5(f5(a3,a2),f5(a3,a2))))),
% 74.67/74.76     inference(scs_inference,[],[48,145,86,3,10])).
% 74.67/74.76  cnf(356,plain,
% 74.67/74.76     (~E(f7(a3,a1),f4(f5(a1,a2),f5(a1,a2)))),
% 74.67/74.76     inference(scs_inference,[],[48,145,86,3,10,9,5,7,6,8,4,2])).
% 74.67/74.76  cnf(358,plain,
% 74.67/74.76     (~E(f5(f7(a3,a1),a1),f7(f5(a3,a2),f5(a1,a1)))),
% 74.67/74.76     inference(scs_inference,[],[57,264,189,2,3])).
% 74.67/74.76  cnf(361,plain,
% 74.67/74.76     (E(f6(f4(f5(a3,a2),f5(a3,a2))),f6(a3))),
% 74.67/74.76     inference(scs_inference,[],[70,51,358,2,3])).
% 74.67/74.76  cnf(375,plain,
% 74.67/74.76     (~E(f5(f7(a3,a1),f4(a1,a1)),f7(a2,f7(a3,a1)))),
% 74.67/74.76     inference(scs_inference,[],[72,64,89,3,10,9,6,5,8,7,4,2])).
% 74.67/74.76  cnf(383,plain,
% 74.67/74.76     (~E(f5(f4(f7(a3,a1),f7(a3,a1)),f7(a3,a1)),f5(f7(a3,a1),f4(a1,a1)))),
% 74.67/74.76     inference(scs_inference,[],[72,263,3])).
% 74.67/74.76  cnf(397,plain,
% 74.67/74.76     (E(f4(f4(x3971,x3971),f4(x3972,x3972)),f4(x3971,x3972))),
% 74.67/74.76     inference(scs_inference,[],[71,73,3])).
% 74.67/74.76  cnf(400,plain,
% 74.67/74.76     (~E(f5(f5(a1,a2),f7(a3,a1)),f7(f4(a2,a2),f7(a3,a1)))),
% 74.67/74.76     inference(scs_inference,[],[75,397,209,2,3])).
% 74.67/74.76  cnf(402,plain,
% 74.67/74.76     (~E(f7(f4(a2,a2),f7(a3,a1)),f5(f5(a1,a2),f7(a3,a1)))),
% 74.67/74.76     inference(scs_inference,[],[400,2])).
% 74.67/74.76  cnf(403,plain,
% 74.67/74.76     (E(f7(f4(x4031,x4031),f4(x4032,x4032)),f7(x4031,x4032))),
% 74.67/74.76     inference(scs_inference,[],[74,75,400,2,3])).
% 74.67/74.76  cnf(406,plain,
% 74.67/74.76     (E(f7(x4061,x4062),f7(f4(x4061,x4061),f4(x4062,x4062)))),
% 74.67/74.76     inference(scs_inference,[],[403,2])).
% 74.67/74.76  cnf(407,plain,
% 74.67/74.76     (~E(f5(f7(a3,a1),f7(a3,a1)),f5(f7(a3,a1),f4(a1,a1)))),
% 74.67/74.76     inference(scs_inference,[],[76,403,383,2,3])).
% 74.67/74.76  cnf(416,plain,
% 74.67/74.76     (~E(f7(a3,a1),f4(a1,a1))),
% 74.67/74.76     inference(scs_inference,[],[407,5])).
% 74.67/74.76  cnf(417,plain,
% 74.67/74.76     (~E(f5(f7(a3,a1),f4(a1,a1)),f5(f7(a3,a1),f7(a3,a1)))),
% 74.67/74.76     inference(scs_inference,[],[407,5,2])).
% 74.67/74.76  cnf(425,plain,
% 74.67/74.76     (~E(f4(a1,a1),f7(a3,a1))),
% 74.67/74.76     inference(scs_inference,[],[417,5])).
% 74.67/74.76  cnf(429,plain,
% 74.67/74.76     (E(f5(x4291,x4292),f5(x4291,f5(x4292,x4292)))),
% 74.67/74.76     inference(scs_inference,[],[80,5])).
% 74.67/74.76  cnf(433,plain,
% 74.67/74.76     (E(f6(x4331),f6(f5(x4331,x4331)))),
% 74.67/74.76     inference(scs_inference,[],[76,78,242,80,5,2,3,10])).
% 74.67/74.76  cnf(434,plain,
% 74.67/74.76     (E(f4(x4341,x4342),f4(x4341,f5(x4342,x4342)))),
% 74.67/74.76     inference(scs_inference,[],[76,78,242,80,5,2,3,10,9])).
% 74.67/74.76  cnf(435,plain,
% 74.67/74.76     (E(f7(x4351,x4352),f7(f5(x4351,x4351),x4352))),
% 74.67/74.76     inference(scs_inference,[],[76,78,242,80,5,2,3,10,9,6])).
% 74.67/74.76  cnf(436,plain,
% 74.67/74.76     (E(f4(x4361,x4362),f4(f5(x4361,x4361),x4362))),
% 74.67/74.76     inference(scs_inference,[],[76,78,242,80,5,2,3,10,9,6,8])).
% 74.67/74.76  cnf(443,plain,
% 74.67/74.76     (E(f6(f5(x4431,x4431)),f6(x4431))),
% 74.67/74.76     inference(scs_inference,[],[433,2])).
% 74.67/74.76  cnf(444,plain,
% 74.67/74.76     (~E(f5(a1,a2),f7(a3,a1))),
% 74.67/74.76     inference(scs_inference,[],[78,433,425,2,3])).
% 74.67/74.76  cnf(446,plain,
% 74.67/74.76     (~E(f5(f7(a3,a1),f4(a1,a1)),f7(f4(a2,a2),f7(a3,a1)))),
% 74.67/74.76     inference(scs_inference,[],[75,375,444,2,3])).
% 74.67/74.76  cnf(448,plain,
% 74.67/74.76     (E(f5(x4481,f5(x4482,x4482)),f5(x4481,x4482))),
% 74.67/74.76     inference(scs_inference,[],[429,2])).
% 74.67/74.76  cnf(459,plain,
% 74.67/74.76     (~E(f5(a2,a1),f5(f7(a3,a1),f4(f7(a3,a1),x4591)))),
% 74.67/74.76     inference(scs_inference,[],[59,446,103,2,3])).
% 74.67/74.76  cnf(460,plain,
% 74.67/74.76     (E(f4(x4601,f5(x4602,x4602)),f4(x4601,x4602))),
% 74.67/74.76     inference(scs_inference,[],[434,2])).
% 74.67/74.76  cnf(466,plain,
% 74.67/74.76     (E(f7(f5(x4661,x4661),x4662),f7(x4661,x4662))),
% 74.67/74.76     inference(scs_inference,[],[435,2])).
% 74.67/74.76  cnf(475,plain,
% 74.67/74.76     (E(f5(x4751,f4(x4752,x4753)),f5(x4751,f4(x4753,x4752)))),
% 74.67/74.76     inference(scs_inference,[],[81,71,435,90,17,2,3,10,9,8,7,6,4,5])).
% 74.67/74.76  cnf(477,plain,
% 74.67/74.76     (~E(f5(a1,f7(a3,a1)),f5(f4(f7(a3,a1),f7(a3,a1)),f7(a3,a1)))),
% 74.67/74.76     inference(scs_inference,[],[84,76,459,2,3])).
% 74.67/74.76  cnf(481,plain,
% 74.67/74.76     (E(f4(f5(x4811,x4811),x4812),f4(x4811,x4812))),
% 74.67/74.76     inference(scs_inference,[],[436,127,4,2])).
% 74.67/74.76  cnf(485,plain,
% 74.67/74.76     (E(f6(f5(f4(x4851,x4851),f4(x4851,x4851))),f6(x4851))),
% 74.67/74.76     inference(scs_inference,[],[70,443,477,2,3])).
% 74.67/74.76  cnf(487,plain,
% 74.67/74.76     (~E(f4(f7(a3,a1),f7(a3,a1)),a1)),
% 74.67/74.76     inference(scs_inference,[],[70,443,477,2,3,4])).
% 74.67/74.76  cnf(488,plain,
% 74.67/74.76     (E(f5(f5(x4881,x4881),x4882),f5(x4881,x4882))),
% 74.67/74.76     inference(scs_inference,[],[15,4])).
% 74.67/74.76  cnf(490,plain,
% 74.67/74.76     (E(f6(x4901),f6(f4(x4901,f5(x4901,x4902))))),
% 74.67/74.76     inference(scs_inference,[],[485,127,15,4,2,10])).
% 74.67/74.76  cnf(495,plain,
% 74.67/74.76     (E(f5(x4951,f7(a2,x4952)),f5(x4951,x4952))),
% 74.67/74.76     inference(scs_inference,[],[485,127,15,17,13,4,2,10,9,7,6,8,5])).
% 74.67/74.76  cnf(513,plain,
% 74.67/74.76     (~E(f5(f4(a1,a1),f7(a3,a1)),f5(f7(a3,a1),f7(a3,a1)))),
% 74.67/74.76     inference(scs_inference,[],[87,76,3,2])).
% 74.67/74.76  cnf(515,plain,
% 74.67/74.76     (E(f5(f4(x5151,x5151),f4(x5152,x5152)),f5(x5151,x5152))),
% 74.67/74.76     inference(scs_inference,[],[72,76,90,2,3])).
% 74.67/74.76  cnf(532,plain,
% 74.67/74.76     (E(f5(x5321,x5322),f5(f4(x5321,x5321),f4(x5322,x5322)))),
% 74.67/74.76     inference(scs_inference,[],[515,2])).
% 74.67/74.76  cnf(544,plain,
% 74.67/74.76     (E(f4(x5441,f4(x5442,f5(x5442,x5443))),f4(x5441,x5442))),
% 74.67/74.76     inference(scs_inference,[],[73,81,490,19,13,2,3,10,9])).
% 74.67/74.76  cnf(552,plain,
% 74.67/74.76     (~E(f4(f5(a1,a2),f5(f5(a1,a2),f5(a1,a2))),f7(a3,a1))),
% 74.67/74.76     inference(scs_inference,[],[460,356,3,2])).
% 74.67/74.76  cnf(568,plain,
% 74.67/74.76     (E(f5(f4(x5681,x5681),f7(f6(x5682),x5682)),f5(x5681,a2))),
% 74.67/74.76     inference(scs_inference,[],[76,97,349,2,3])).
% 74.67/74.76  cnf(580,plain,
% 74.67/74.76     (E(f7(f6(x5801),x5801),f5(f4(a2,a2),f4(a2,a2)))),
% 74.67/74.76     inference(scs_inference,[],[100,80,3])).
% 74.67/74.76  cnf(584,plain,
% 74.67/74.76     (~E(f5(f5(a1,a1),f7(a3,a1)),f5(f7(a3,a1),f7(a3,a1)))),
% 74.67/74.76     inference(scs_inference,[],[87,488,3,2])).
% 74.67/74.76  cnf(585,plain,
% 74.67/74.76     (~E(f7(a3,a1),f5(a1,a1))),
% 74.67/74.76     inference(scs_inference,[],[87,488,3,2,4])).
% 74.67/74.76  cnf(587,plain,
% 74.67/74.76     (E(f4(f5(a1,a2),f5(a2,a1)),f4(a1,a1))),
% 74.67/74.76     inference(scs_inference,[],[81,114,580,2,3])).
% 74.67/74.76  cnf(589,plain,
% 74.67/74.76     (~E(f5(a1,a1),f7(a3,a1))),
% 74.67/74.76     inference(scs_inference,[],[585,2])).
% 74.67/74.76  cnf(590,plain,
% 74.67/74.76     (~E(f7(f4(a3,a3),f4(a1,a1)),a1)),
% 74.67/74.76     inference(scs_inference,[],[99,406,585,2,3])).
% 74.67/74.76  cnf(601,plain,
% 74.67/74.76     (~E(a1,f7(f4(a3,a3),f4(a1,a1)))),
% 74.67/74.76     inference(scs_inference,[],[590,2])).
% 74.67/74.76  cnf(626,plain,
% 74.67/74.76     (~E(f5(f5(a2,a1),f5(a1,a2)),f7(a3,a1))),
% 74.67/74.76     inference(scs_inference,[],[110,328,587,2,3])).
% 74.67/74.76  cnf(628,plain,
% 74.67/74.76     (~E(f7(a3,a1),f5(f5(a2,a1),f5(a1,a2)))),
% 74.67/74.76     inference(scs_inference,[],[626,2])).
% 74.67/74.76  cnf(629,plain,
% 74.67/74.76     (~E(f7(a3,a1),f4(a1,f5(a1,f4(a1,x6291))))),
% 74.67/74.76     inference(scs_inference,[],[416,134,626,2,3])).
% 74.67/74.76  cnf(635,plain,
% 74.67/74.76     (E(f7(f6(x6351),x6351),f4(a2,f4(a2,a2)))),
% 74.67/74.76     inference(scs_inference,[],[100,239,629,2,3])).
% 74.67/74.76  cnf(683,plain,
% 74.67/74.76     (~E(f5(f7(a3,a1),f5(a1,a2)),f5(f7(a3,a1),f7(a3,a1)))),
% 74.67/74.76     inference(scs_inference,[],[111,120,151,2,3])).
% 74.67/74.76  cnf(686,plain,
% 74.67/74.76     (~E(f7(f4(a2,a2),f7(a3,a1)),f5(f5(a2,a1),f7(a3,a1)))),
% 74.67/74.76     inference(scs_inference,[],[110,402,683,2,3])).
% 74.67/74.76  cnf(693,plain,
% 74.67/74.76     (~E(f4(f5(a2,a1),f5(f5(a1,a2),f5(a1,a2))),f7(a3,a1))),
% 74.67/74.76     inference(scs_inference,[],[115,552,686,2,3])).
% 74.67/74.76  cnf(696,plain,
% 74.67/74.76     (~E(f4(f7(a3,a1),f7(a3,a1)),f4(f5(a1,a2),f5(a1,x6961)))),
% 74.67/74.76     inference(scs_inference,[],[124,487,2,3])).
% 74.67/74.76  cnf(722,plain,
% 74.67/74.76     (~E(f4(f5(a1,a2),f5(a1,x7221)),f4(f7(a3,a1),f7(a3,a1)))),
% 74.67/74.76     inference(scs_inference,[],[696,2])).
% 74.67/74.77  cnf(723,plain,
% 74.67/74.77     (E(f6(f5(f4(x7231,x7232),x7231)),f6(x7231))),
% 74.67/74.77     inference(scs_inference,[],[133,113,696,2,3])).
% 74.67/74.77  cnf(727,plain,
% 74.67/74.77     (~E(f4(f5(a1,a2),a1),f4(f7(a3,a1),f7(a3,a1)))),
% 74.67/74.77     inference(scs_inference,[],[134,723,722,2,3])).
% 74.67/74.77  cnf(731,plain,
% 74.67/74.77     (~E(f7(a3,a1),f5(a1,f4(x7311,a1)))),
% 74.67/74.77     inference(scs_inference,[],[131,475,727,2,3])).
% 74.67/74.77  cnf(855,plain,
% 74.67/74.77     (~E(f4(f5(a2,a1),a1),f7(a3,a1))),
% 74.67/74.77     inference(scs_inference,[],[155,731,693,2,3])).
% 74.67/74.77  cnf(860,plain,
% 74.67/74.77     (~E(f7(a3,a1),f4(f5(a2,a1),a1))),
% 74.67/74.77     inference(scs_inference,[],[855,2])).
% 74.67/74.77  cnf(936,plain,
% 74.67/74.77     (~E(f7(a3,a1),f5(a2,f5(a1,f5(a1,a2))))),
% 74.67/74.77     inference(scs_inference,[],[161,628,568,2,3])).
% 74.67/74.77  cnf(951,plain,
% 74.67/74.77     (E(f5(f7(a3,a1),f7(a3,a2)),f7(f5(a3,a2),a1))),
% 74.67/74.77     inference(scs_inference,[],[176,168,936,2,3])).
% 74.67/74.77  cnf(954,plain,
% 74.67/74.77     (E(f7(f5(a3,a2),a1),f5(f7(a3,a1),f7(a3,a2)))),
% 74.67/74.77     inference(scs_inference,[],[951,2])).
% 74.67/74.77  cnf(961,plain,
% 74.67/74.77     (~E(f5(f7(a3,a1),f7(a3,a2)),f5(f7(a3,a1),a1))),
% 74.67/74.77     inference(scs_inference,[],[954,635,270,2,3])).
% 74.67/74.77  cnf(964,plain,
% 74.67/74.77     (~E(f7(a3,a1),f4(f5(a2,a1),f4(a1,f5(a1,x9641))))),
% 74.67/74.77     inference(scs_inference,[],[544,961,860,2,3])).
% 74.67/74.77  cnf(970,plain,
% 74.67/74.77     (~E(f4(f5(a1,x9701),f4(f5(a2,a1),a1)),f7(a3,a1))),
% 74.67/74.77     inference(scs_inference,[],[302,964,2,3])).
% 74.67/74.77  cnf(1132,plain,
% 74.67/74.77     (~E(f5(f5(a1,a2),f5(a1,a2)),f7(f5(a3,a3),a1))),
% 74.67/74.77     inference(scs_inference,[],[466,328,361,2,3])).
% 74.67/74.77  cnf(1147,plain,
% 74.67/74.77     (~E(f5(f7(a3,a1),f7(a3,a1)),f5(f7(a3,a1),f5(a1,a1)))),
% 74.67/74.77     inference(scs_inference,[],[448,119,1132,2,3])).
% 74.67/74.77  cnf(1181,plain,
% 74.67/74.77     (E(f5(a2,f5(a1,a1)),a1)),
% 74.67/74.77     inference(scs_inference,[],[288,448,260,2,3])).
% 74.67/74.77  cnf(1202,plain,
% 74.67/74.77     (~E(f5(f7(a3,a1),a1),f7(f5(a3,a3),f5(a1,a1)))),
% 74.67/74.77     inference(scs_inference,[],[466,189,1147,2,3])).
% 74.67/74.77  cnf(1209,plain,
% 74.67/74.77     (~E(f7(a3,f5(a1,a2)),f5(f7(a3,a1),f5(a1,a2)))),
% 74.67/74.77     inference(scs_inference,[],[466,242,1202,2,3])).
% 74.67/74.77  cnf(1218,plain,
% 74.67/74.77     (E(a1,f5(a2,f5(a1,a1)))),
% 74.67/74.77     inference(scs_inference,[],[1181,2])).
% 74.67/74.77  cnf(1228,plain,
% 74.67/74.77     (~E(f7(f5(a3,a2),a1),f5(f7(a3,a1),f5(a1,a1)))),
% 74.67/74.77     inference(scs_inference,[],[448,270,1209,2,3])).
% 74.67/74.77  cnf(1240,plain,
% 74.67/74.77     (~E(f5(a2,f5(a1,a1)),f7(f4(a3,a3),f4(a1,a1)))),
% 74.67/74.77     inference(scs_inference,[],[1218,601,1228,2,3])).
% 74.67/74.77  cnf(1255,plain,
% 74.67/74.77     (~E(f5(a1,a1),f7(f5(a3,a3),a1))),
% 74.67/74.77     inference(scs_inference,[],[466,589,1240,2,3])).
% 74.67/74.77  cnf(1262,plain,
% 74.67/74.77     (~E(f4(a1,f4(f5(a2,a1),a1)),f7(a3,a1))),
% 74.67/74.77     inference(scs_inference,[],[481,970,1255,2,3])).
% 74.67/74.77  cnf(1269,plain,
% 74.67/74.77     (E(f5(x12691,x12692),f5(f7(a2,x12691),f7(a2,x12692)))),
% 74.67/74.77     inference(scs_inference,[],[61,186,1262,2,3])).
% 74.67/74.77  cnf(1306,plain,
% 74.67/74.77     (E(f5(x13061,f5(x13062,x13063)),f5(f4(f5(x13061,x13062),f5(x13061,x13062)),f4(x13063,x13063)))),
% 74.67/74.77     inference(scs_inference,[],[161,532,1269,2,3])).
% 74.67/74.77  cnf(1319,plain,
% 74.67/74.77     (~E(f5(f4(a1,a1),f7(a3,a1)),f7(a3,a1))),
% 74.67/74.77     inference(scs_inference,[],[80,513,1306,2,3])).
% 74.67/74.77  cnf(1322,plain,
% 74.67/74.77     (E(f5(x13221,f5(x13222,x13223)),f5(f5(x13221,x13222),f4(x13223,x13223)))),
% 74.67/74.77     inference(scs_inference,[],[161,246,1319,2,3])).
% 74.67/74.77  cnf(1325,plain,
% 74.67/74.77     (~E(f7(f4(a2,a2),f7(a3,a1)),f5(f7(a3,a1),a1))),
% 74.67/74.77     inference(scs_inference,[],[281,64,1322,2,3])).
% 74.67/74.77  cnf(1328,plain,
% 74.67/74.77     (~E(f5(f5(a1,a1),f7(a3,a1)),f7(a3,a1))),
% 74.67/74.77     inference(scs_inference,[],[80,584,1325,2,3])).
% 74.67/74.77  cnf(1341,plain,
% 74.67/74.77     ($false),
% 74.67/74.77     inference(scs_inference,[],[206,270,495,1328,2,3]),
% 74.67/74.77     ['proof']).
% 74.67/74.77  % SZS output end Proof
% 74.67/74.77  % Total time :74.090000s
%------------------------------------------------------------------------------