TSTP Solution File: GRP152-1 by CSE---1.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE---1.6
% Problem  : GRP152-1 : 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 : n026.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 00:11:17 EDT 2023

% Result   : Unsatisfiable 64.28s 64.35s
% Output   : CNFRefutation 64.36s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : GRP152-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.00/0.14  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.35  % Computer : n026.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   : Mon Aug 28 21:08:50 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.22/0.59  start to proof:theBenchmark
% 64.28/64.33  %-------------------------------------------
% 64.28/64.33  % File        :CSE---1.6
% 64.28/64.33  % Problem     :theBenchmark
% 64.28/64.33  % Transform   :cnf
% 64.28/64.33  % Format      :tptp:raw
% 64.28/64.33  % Command     :java -jar mcs_scs.jar %d %s
% 64.28/64.33  
% 64.28/64.33  % Result      :Theorem 63.680000s
% 64.28/64.33  % Output      :CNFRefutation 63.680000s
% 64.28/64.33  %-------------------------------------------
% 64.28/64.35  %--------------------------------------------------------------------------
% 64.28/64.35  % File     : GRP152-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% 64.28/64.35  % Domain   : Group Theory (Lattice Ordered)
% 64.28/64.35  % Problem  : Prove least upper-bound axiom using the LUB transformation
% 64.28/64.35  % Version  : [Fuc94] (equality) axioms.
% 64.28/64.35  % English  : This problem proves the original least upper-bound axiom from
% 64.28/64.35  %            the equational axiomatization.
% 64.28/64.35  
% 64.28/64.35  % Refs     : [Fuc94] Fuchs (1994), The Application of Goal-Orientated Heuri
% 64.28/64.35  %          : [Sch95] Schulz (1995), Explanation Based Learning for Distribu
% 64.28/64.35  % Source   : [Sch95]
% 64.28/64.35  % Names    : ax_lub3a [Sch95]
% 64.28/64.35  
% 64.28/64.35  % Status   : Unsatisfiable
% 64.28/64.35  % Rating   : 0.00 v8.1.0, 0.05 v7.5.0, 0.04 v7.4.0, 0.09 v7.3.0, 0.05 v7.1.0, 0.00 v7.0.0, 0.05 v6.3.0, 0.12 v6.2.0, 0.14 v6.1.0, 0.06 v6.0.0, 0.10 v5.5.0, 0.05 v5.4.0, 0.00 v2.0.0
% 64.28/64.35  % Syntax   : Number of clauses     :   16 (  16 unt;   0 nHn;   1 RR)
% 64.28/64.35  %            Number of literals    :   16 (  16 equ;   1 neg)
% 64.28/64.35  %            Maximal clause size   :    1 (   1 avg)
% 64.28/64.35  %            Maximal term depth    :    3 (   2 avg)
% 64.28/64.35  %            Number of predicates  :    1 (   0 usr;   0 prp; 2-2 aty)
% 64.28/64.35  %            Number of functors    :    7 (   7 usr;   3 con; 0-2 aty)
% 64.28/64.35  %            Number of variables   :   33 (   2 sgn)
% 64.28/64.35  % SPC      : CNF_UNS_RFO_PEQ_UEQ
% 64.28/64.35  
% 64.28/64.35  % Comments : ORDERING LPO inverse > product > greatest_lower_bound >
% 64.28/64.35  %            least_upper_bound > identity > a > b
% 64.28/64.35  % Bugfixes : v1.2.1 - Duplicate axioms in GRP004-2.ax removed.
% 64.28/64.35  %--------------------------------------------------------------------------
% 64.28/64.35  %----Include equality group theory axioms
% 64.28/64.35  include('Axioms/GRP004-0.ax').
% 64.28/64.35  %----Include Lattice ordered group (equality) axioms
% 64.28/64.35  include('Axioms/GRP004-2.ax').
% 64.28/64.35  %--------------------------------------------------------------------------
% 64.28/64.35  cnf(prove_ax_lub3a,negated_conjecture,
% 64.28/64.35      least_upper_bound(b,least_upper_bound(a,b)) != least_upper_bound(a,b) ).
% 64.28/64.35  
% 64.28/64.35  %--------------------------------------------------------------------------
% 64.28/64.35  %-------------------------------------------
% 64.28/64.35  % Proof found
% 64.28/64.35  % SZS status Theorem for theBenchmark
% 64.28/64.35  % SZS output start Proof
% 64.28/64.35  %ClaNum:26(EqnAxiom:10)
% 64.28/64.35  %VarNum:72(SingletonVarNum:33)
% 64.28/64.35  %MaxLitNum:1
% 64.28/64.35  %MaxfuncDepth:2
% 64.28/64.35  %SharedTerms:6
% 64.28/64.35  %goalClause: 26
% 64.28/64.35  %singleGoalClaCount:1
% 64.28/64.35  [26]~E(f6(a3,f6(a4,a3)),f6(a4,a3))
% 64.28/64.35  [11]E(f5(a1,x111),x111)
% 64.28/64.35  [12]E(f2(x121,x121),x121)
% 64.28/64.35  [13]E(f6(x131,x131),x131)
% 64.28/64.35  [14]E(f5(f7(x141),x141),a1)
% 64.28/64.35  [15]E(f2(x151,x152),f2(x152,x151))
% 64.28/64.35  [16]E(f6(x161,x162),f6(x162,x161))
% 64.28/64.35  [17]E(f2(x171,f6(x171,x172)),x171)
% 64.28/64.35  [18]E(f6(x181,f2(x181,x182)),x181)
% 64.28/64.35  [19]E(f2(f2(x191,x192),x193),f2(x191,f2(x192,x193)))
% 64.28/64.35  [20]E(f6(f6(x201,x202),x203),f6(x201,f6(x202,x203)))
% 64.28/64.35  [21]E(f5(f5(x211,x212),x213),f5(x211,f5(x212,x213)))
% 64.28/64.35  [22]E(f2(f5(x221,x222),f5(x221,x223)),f5(x221,f2(x222,x223)))
% 64.28/64.35  [23]E(f6(f5(x231,x232),f5(x231,x233)),f5(x231,f6(x232,x233)))
% 64.28/64.35  [24]E(f2(f5(x241,x242),f5(x243,x242)),f5(f2(x241,x243),x242))
% 64.28/64.35  [25]E(f6(f5(x251,x252),f5(x253,x252)),f5(f6(x251,x253),x252))
% 64.28/64.35  %EqnAxiom
% 64.28/64.35  [1]E(x11,x11)
% 64.28/64.35  [2]E(x22,x21)+~E(x21,x22)
% 64.28/64.35  [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 64.28/64.35  [4]~E(x41,x42)+E(f5(x41,x43),f5(x42,x43))
% 64.28/64.35  [5]~E(x51,x52)+E(f5(x53,x51),f5(x53,x52))
% 64.28/64.35  [6]~E(x61,x62)+E(f2(x61,x63),f2(x62,x63))
% 64.28/64.35  [7]~E(x71,x72)+E(f2(x73,x71),f2(x73,x72))
% 64.28/64.35  [8]~E(x81,x82)+E(f6(x81,x83),f6(x82,x83))
% 64.28/64.35  [9]~E(x91,x92)+E(f6(x93,x91),f6(x93,x92))
% 64.28/64.35  [10]~E(x101,x102)+E(f7(x101),f7(x102))
% 64.28/64.35  
% 64.28/64.35  %-------------------------------------------
% 64.28/64.36  cnf(27,plain,
% 64.28/64.36     (E(x271,f2(x271,x271))),
% 64.28/64.36     inference(scs_inference,[],[12,2])).
% 64.28/64.36  cnf(28,plain,
% 64.28/64.36     (~E(f6(a3,f6(a4,a3)),f2(f6(a4,a3),f6(a4,a3)))),
% 64.28/64.36     inference(scs_inference,[],[26,12,2,3])).
% 64.28/64.36  cnf(29,plain,
% 64.28/64.36     (E(f2(x291,x291),x291)),
% 64.28/64.36     inference(rename_variables,[],[12])).
% 64.28/64.36  cnf(30,plain,
% 64.28/64.36     (E(f7(f2(x301,x301)),f7(x301))),
% 64.28/64.36     inference(scs_inference,[],[26,12,29,2,3,10])).
% 64.28/64.36  cnf(31,plain,
% 64.28/64.36     (E(f6(x311,f2(x312,x312)),f6(x311,x312))),
% 64.28/64.36     inference(scs_inference,[],[26,12,29,2,3,10,9])).
% 64.28/64.36  cnf(32,plain,
% 64.28/64.36     (E(f6(f2(x321,x321),x322),f6(x321,x322))),
% 64.28/64.36     inference(scs_inference,[],[26,12,29,2,3,10,9,8])).
% 64.28/64.36  cnf(33,plain,
% 64.28/64.36     (E(f2(x331,f2(x332,x332)),f2(x331,x332))),
% 64.28/64.36     inference(scs_inference,[],[26,12,29,2,3,10,9,8,7])).
% 64.28/64.36  cnf(34,plain,
% 64.28/64.36     (E(f2(f2(x341,x341),x342),f2(x341,x342))),
% 64.28/64.36     inference(scs_inference,[],[26,12,29,2,3,10,9,8,7,6])).
% 64.28/64.36  cnf(35,plain,
% 64.28/64.36     (E(f5(x351,f2(x352,x352)),f5(x351,x352))),
% 64.28/64.36     inference(scs_inference,[],[26,12,29,2,3,10,9,8,7,6,5])).
% 64.28/64.36  cnf(36,plain,
% 64.28/64.36     (E(f5(f2(x361,x361),x362),f5(x361,x362))),
% 64.28/64.36     inference(scs_inference,[],[26,12,29,2,3,10,9,8,7,6,5,4])).
% 64.28/64.36  cnf(37,plain,
% 64.28/64.36     (~E(f6(a4,a3),f6(a3,f6(a4,a3)))),
% 64.28/64.36     inference(scs_inference,[],[26,2])).
% 64.28/64.36  cnf(38,plain,
% 64.28/64.36     (~E(f6(f6(a4,a3),a3),f6(a4,a3))),
% 64.28/64.36     inference(scs_inference,[],[26,16,2,3])).
% 64.28/64.36  cnf(40,plain,
% 64.28/64.36     (~E(f6(a4,a3),a4)),
% 64.28/64.36     inference(scs_inference,[],[26,16,2,3,8])).
% 64.28/64.36  cnf(41,plain,
% 64.28/64.36     (E(x411,f5(a1,x411))),
% 64.28/64.36     inference(scs_inference,[],[11,2])).
% 64.28/64.36  cnf(42,plain,
% 64.28/64.36     (E(f6(f5(a1,x421),x422),f6(x421,x422))),
% 64.28/64.36     inference(scs_inference,[],[11,2,8])).
% 64.28/64.36  cnf(43,plain,
% 64.28/64.36     (E(f5(a1,x431),f2(x431,x431))),
% 64.28/64.36     inference(scs_inference,[],[11,27,2,8,3])).
% 64.35/64.36  cnf(45,plain,
% 64.35/64.36     (~E(f2(f6(a4,a3),f6(a4,a3)),f6(a3,f6(a4,a3)))),
% 64.35/64.36     inference(scs_inference,[],[28,2])).
% 64.35/64.36  cnf(48,plain,
% 64.35/64.36     (E(x481,f6(x481,x481))),
% 64.35/64.36     inference(scs_inference,[],[13,2])).
% 64.35/64.36  cnf(52,plain,
% 64.35/64.36     (E(f2(x521,f6(x522,x522)),f2(x521,x522))),
% 64.35/64.36     inference(scs_inference,[],[13,27,40,2,3,9,7])).
% 64.35/64.36  cnf(55,plain,
% 64.35/64.36     (E(f7(f6(x551,x551)),f7(x551))),
% 64.35/64.36     inference(scs_inference,[],[13,27,40,2,3,9,7,5,4,10])).
% 64.35/64.36  cnf(57,plain,
% 64.35/64.36     (~E(f6(a4,a3),f6(f6(a4,a3),a3))),
% 64.35/64.36     inference(scs_inference,[],[38,2])).
% 64.35/64.36  cnf(58,plain,
% 64.35/64.36     (E(f2(f2(x581,x582),f2(x581,x582)),f2(x582,x581))),
% 64.35/64.36     inference(scs_inference,[],[12,15,38,2,3])).
% 64.35/64.36  cnf(60,plain,
% 64.35/64.37     (~E(a4,f6(a4,a3))),
% 64.35/64.37     inference(scs_inference,[],[12,15,38,2,3,8])).
% 64.35/64.37  cnf(63,plain,
% 64.35/64.37     (~E(f2(f6(a4,a3),f6(a4,a3)),f6(f6(a3,a4),a3))),
% 64.35/64.37     inference(scs_inference,[],[13,30,20,45,2,8,3])).
% 64.35/64.37  cnf(66,plain,
% 64.35/64.37     (~E(f6(f6(a4,a3),a3),f2(f6(a4,a3),f6(a4,a3)))),
% 64.35/64.37     inference(scs_inference,[],[28,16,63,2,3])).
% 64.35/64.37  cnf(68,plain,
% 64.35/64.37     (E(f6(f2(x681,f6(x681,x682)),x683),f6(x681,x683))),
% 64.35/64.37     inference(scs_inference,[],[17,28,16,63,2,3,8])).
% 64.35/64.37  cnf(79,plain,
% 64.35/64.37     (~E(a4,f6(a4,f2(a3,a3)))),
% 64.35/64.37     inference(scs_inference,[],[31,60,66,2,3])).
% 64.35/64.37  cnf(81,plain,
% 64.35/64.37     (E(f6(x811,x812),f6(f2(x811,x811),x812))),
% 64.35/64.37     inference(scs_inference,[],[32,2])).
% 64.35/64.37  cnf(82,plain,
% 64.35/64.37     (~E(f6(a3,a4),f6(f6(a4,a3),a3))),
% 64.35/64.37     inference(scs_inference,[],[32,16,57,2,3])).
% 64.35/64.37  cnf(84,plain,
% 64.35/64.37     (~E(f6(f6(a4,a3),a3),f6(a3,a4))),
% 64.35/64.37     inference(scs_inference,[],[82,2])).
% 64.35/64.37  cnf(88,plain,
% 64.35/64.37     (E(f2(x881,x882),f2(x881,f2(x882,x882)))),
% 64.35/64.37     inference(scs_inference,[],[33,2])).
% 64.35/64.37  cnf(93,plain,
% 64.35/64.37     (E(f2(x931,f6(x932,x933)),f2(x931,f6(x933,x932)))),
% 64.35/64.37     inference(scs_inference,[],[16,33,19,2,3,4,7])).
% 64.35/64.37  cnf(94,plain,
% 64.35/64.37     (E(f2(f6(x941,x942),x943),f2(f6(x942,x941),x943))),
% 64.35/64.37     inference(scs_inference,[],[16,33,19,2,3,4,7,6])).
% 64.35/64.37  cnf(98,plain,
% 64.35/64.37     (~E(f6(a4,f2(a3,a3)),a4)),
% 64.35/64.37     inference(scs_inference,[],[79,2])).
% 64.35/64.37  cnf(99,plain,
% 64.35/64.37     (~E(f6(a3,f6(a4,a3)),f6(a3,a4))),
% 64.35/64.37     inference(scs_inference,[],[16,84,79,2,3])).
% 64.35/64.37  cnf(101,plain,
% 64.35/64.37     (E(x1011,f2(x1011,f6(x1011,x1012)))),
% 64.35/64.37     inference(scs_inference,[],[17,2])).
% 64.35/64.37  cnf(102,plain,
% 64.35/64.37     (E(f2(f2(x1021,x1021),f6(x1021,x1022)),x1021)),
% 64.35/64.37     inference(scs_inference,[],[17,34,2,3])).
% 64.35/64.37  cnf(104,plain,
% 64.35/64.37     (~E(f6(a3,a4),f6(a3,f6(a4,a3)))),
% 64.35/64.37     inference(scs_inference,[],[99,2])).
% 64.35/64.37  cnf(107,plain,
% 64.35/64.37     (~E(f6(a4,a3),f2(a4,a4))),
% 64.35/64.37     inference(scs_inference,[],[31,99,2,3,9])).
% 64.35/64.37  cnf(111,plain,
% 64.35/64.37     (~E(f2(f6(a3,a4),f6(a3,a4)),f6(a3,f6(a4,a3)))),
% 64.35/64.37     inference(scs_inference,[],[18,27,104,9,2,3])).
% 64.35/64.37  cnf(125,plain,
% 64.35/64.37     (~E(f2(a4,a4),f6(a4,a3))),
% 64.35/64.37     inference(scs_inference,[],[107,2])).
% 64.35/64.37  cnf(126,plain,
% 64.35/64.37     (~E(f2(f6(a4,a3),f6(a4,a3)),f2(a4,a4))),
% 64.35/64.37     inference(scs_inference,[],[27,107,2,3])).
% 64.35/64.37  cnf(129,plain,
% 64.35/64.37     (E(f6(x1291,f6(x1292,x1293)),f6(f6(x1291,x1292),x1293))),
% 64.35/64.37     inference(scs_inference,[],[20,2])).
% 64.35/64.37  cnf(136,plain,
% 64.35/64.37     (E(f2(x1361,x1362),f2(f2(x1361,x1361),x1362))),
% 64.35/64.37     inference(scs_inference,[],[20,36,35,27,102,2,3,7,10,5,4,6])).
% 64.35/64.37  cnf(137,plain,
% 64.35/64.37     (~E(f2(a4,a4),f2(f6(a4,a3),f6(a4,a3)))),
% 64.35/64.37     inference(scs_inference,[],[126,2])).
% 64.35/64.37  cnf(138,plain,
% 64.35/64.37     (~E(f6(a4,a3),f6(f6(a3,a4),a3))),
% 64.35/64.37     inference(scs_inference,[],[20,37,126,2,3])).
% 64.35/64.37  cnf(140,plain,
% 64.35/64.37     (~E(a4,f6(a3,a4))),
% 64.35/64.37     inference(scs_inference,[],[20,37,126,2,3,8])).
% 64.35/64.37  cnf(143,plain,
% 64.35/64.37     (~E(f2(f2(a4,a4),f2(a4,a4)),f2(f6(a4,a3),f6(a4,a3)))),
% 64.35/64.37     inference(scs_inference,[],[21,27,101,137,8,2,3])).
% 64.35/64.37  cnf(147,plain,
% 64.35/64.37     (E(f7(f2(x1471,x1471)),f2(f7(x1471),f7(x1471)))),
% 64.35/64.37     inference(scs_inference,[],[30,27,143,2,3])).
% 64.35/64.37  cnf(150,plain,
% 64.35/64.37     (E(f6(f2(f5(x1501,x1502),f5(x1501,x1502)),f5(x1501,x1503)),f5(x1501,f6(x1502,x1503)))),
% 64.35/64.37     inference(scs_inference,[],[22,23,32,2,3])).
% 64.35/64.37  cnf(159,plain,
% 64.35/64.37     (~E(f2(a4,a4),f6(a3,a4))),
% 64.35/64.37     inference(scs_inference,[],[27,140,43,8,2,3])).
% 64.35/64.37  cnf(167,plain,
% 64.35/64.37     (E(f7(f6(f2(x1671,x1671),f2(x1671,x1671))),f7(x1671))),
% 64.35/64.37     inference(scs_inference,[],[30,55,159,2,3])).
% 64.35/64.37  cnf(178,plain,
% 64.35/64.37     (E(f6(f5(a1,f5(x1781,x1782)),f5(x1783,x1782)),f5(f6(x1781,x1783),x1782))),
% 64.35/64.37     inference(scs_inference,[],[42,25,138,2,3])).
% 64.35/64.37  cnf(184,plain,
% 64.35/64.37     (E(f6(x1841,f5(a1,x1842)),f6(x1841,f2(x1842,x1842)))),
% 64.35/64.37     inference(scs_inference,[],[25,42,43,38,2,3,9])).
% 64.35/64.37  cnf(191,plain,
% 64.35/64.37     (E(f6(x1911,f2(x1912,x1912)),f2(f6(x1911,x1912),f6(x1911,x1912)))),
% 64.35/64.37     inference(scs_inference,[],[27,31,167,2,3])).
% 64.35/64.37  cnf(210,plain,
% 64.35/64.37     (E(f7(f2(x2101,x2101)),f6(f7(x2101),f7(x2101)))),
% 64.35/64.37     inference(scs_inference,[],[30,48,147,2,3])).
% 64.35/64.37  cnf(222,plain,
% 64.35/64.37     (E(x2221,f6(x2221,x2221))),
% 64.35/64.37     inference(rename_variables,[],[48])).
% 64.36/64.37  cnf(223,plain,
% 64.36/64.37     (E(f6(x2231,x2232),f6(x2231,f6(x2232,x2232)))),
% 64.36/64.37     inference(scs_inference,[],[31,48,222,210,2,3,9])).
% 64.36/64.37  cnf(228,plain,
% 64.36/64.37     (E(f2(f6(x2281,x2282),f6(x2281,x2282)),f6(x2281,f2(x2282,x2282)))),
% 64.36/64.37     inference(scs_inference,[],[191,2])).
% 64.36/64.37  cnf(251,plain,
% 64.36/64.37     (E(f2(f2(x2511,x2511),f6(x2512,x2512)),f2(x2511,x2512))),
% 64.36/64.37     inference(scs_inference,[],[34,52,58,2,3])).
% 64.36/64.37  cnf(292,plain,
% 64.36/64.37     (E(f5(f2(f2(x2921,x2921),f6(x2921,x2922)),x2923),f5(x2921,x2923))),
% 64.36/64.37     inference(scs_inference,[],[57,41,150,102,11,2,3,10,5,4])).
% 64.36/64.37  cnf(318,plain,
% 64.36/64.37     (E(f2(x3181,x3182),f2(f2(x3181,x3181),f6(x3182,x3182)))),
% 64.36/64.37     inference(scs_inference,[],[251,2])).
% 64.36/64.37  cnf(447,plain,
% 64.36/64.37     (E(f2(f6(x4471,x4472),f6(x4471,x4472)),f6(f2(x4471,x4471),f2(x4472,x4472)))),
% 64.36/64.37     inference(scs_inference,[],[81,228,292,2,3])).
% 64.36/64.37  cnf(454,plain,
% 64.36/64.37     (~E(f6(f2(a3,a3),a4),f6(f6(a4,a3),a3))),
% 64.36/64.37     inference(scs_inference,[],[82,81,447,2,3])).
% 64.36/64.37  cnf(457,plain,
% 64.36/64.37     (E(f6(f2(x4571,f6(x4571,x4572)),f5(a1,x4573)),f6(x4571,f2(x4573,x4573)))),
% 64.36/64.37     inference(scs_inference,[],[68,184,454,2,3])).
% 64.36/64.37  cnf(567,plain,
% 64.36/64.37     (E(f2(x5671,x5672),f2(f2(x5671,x5671),f2(f6(x5672,x5672),f6(x5672,x5672))))),
% 64.36/64.37     inference(scs_inference,[],[88,318,178,2,3])).
% 64.36/64.37  cnf(573,plain,
% 64.36/64.37     (~E(f2(f6(a4,a3),f6(f6(a4,a3),x5731)),f2(a4,a4))),
% 64.36/64.37     inference(scs_inference,[],[107,101,567,2,3])).
% 64.36/64.37  cnf(575,plain,
% 64.36/64.37     (~E(f2(a4,a4),f2(f6(a4,a3),f6(f6(a4,a3),x5751)))),
% 64.36/64.37     inference(scs_inference,[],[573,2])).
% 64.36/64.37  cnf(585,plain,
% 64.36/64.37     (E(x5851,f2(x5851,f6(x5852,x5851)))),
% 64.36/64.37     inference(scs_inference,[],[93,101,457,2,3])).
% 64.36/64.37  cnf(599,plain,
% 64.36/64.37     (~E(f2(f6(a3,a4),f6(a4,a3)),f6(a3,f6(a4,a3)))),
% 64.36/64.37     inference(scs_inference,[],[93,111,585,2,3])).
% 64.36/64.37  cnf(602,plain,
% 64.36/64.37     (E(f2(x6021,f6(x6022,x6023)),f2(f2(x6021,x6021),f6(x6023,x6022)))),
% 64.36/64.37     inference(scs_inference,[],[93,136,599,2,3])).
% 64.36/64.37  cnf(606,plain,
% 64.36/64.37     (~E(f2(a4,a4),f2(f6(a3,a4),f6(f6(a4,a3),x6061)))),
% 64.36/64.37     inference(scs_inference,[],[94,602,575,2,3])).
% 64.36/64.37  cnf(616,plain,
% 64.36/64.37     (~E(f2(f6(a4,a3),f6(a3,a4)),f6(a3,f6(a4,a3)))),
% 64.36/64.37     inference(scs_inference,[],[94,111,606,2,3])).
% 64.36/64.37  cnf(622,plain,
% 64.36/64.37     (~E(f6(a4,f2(a3,a3)),f2(f2(a4,a4),f6(a4,x6221)))),
% 64.36/64.37     inference(scs_inference,[],[98,102,616,2,3])).
% 64.36/64.37  cnf(1133,plain,
% 64.36/64.37     (~E(f2(f2(a4,a4),f6(f2(a4,a4),x11331)),f6(a4,a3))),
% 64.36/64.37     inference(scs_inference,[],[101,125,622,2,3])).
% 64.36/64.37  cnf(1173,plain,
% 64.36/64.37     ($false),
% 64.36/64.37     inference(scs_inference,[],[129,57,223,1133,2,3]),
% 64.36/64.37     ['proof']).
% 64.36/64.37  % SZS output end Proof
% 64.36/64.37  % Total time :63.680000s
%------------------------------------------------------------------------------