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CSE---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE---1.7
% Problem  : NUM298+1 : TPTP v8.2.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s

% Computer : n028.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon Jun 24 12:23:45 EDT 2024

% Result   : Theorem 0.59s 0.95s
% Output   : CNFRefutation 0.59s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : NUM298+1 : TPTP v8.2.0. Released v3.1.0.
% 0.07/0.12  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33  % Computer : n028.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Sun Jun 23 04:04:54 EDT 2024
% 0.12/0.33  % CPUTime    : 
% 0.47/0.60  start to proof:theBenchmark
% 0.59/0.95  %-------------------------------------------
% 0.59/0.95  % File        :CSE---1.7
% 0.59/0.95  % Problem     :theBenchmark
% 0.59/0.95  % Transform   :cnf
% 0.59/0.95  % Format      :tptp:raw
% 0.59/0.95  % Command     :java -jar mcs_scs.jar %d %s
% 0.59/0.95  
% 0.59/0.95  % Result      :Theorem 0.140000s
% 0.59/0.95  % Output      :CNFRefutation 0.140000s
% 0.59/0.95  %-------------------------------------------
% 0.59/0.95  %------------------------------------------------------------------------------
% 0.59/0.95  % File     : NUM298+1 : TPTP v8.2.0. Released v3.1.0.
% 0.59/0.95  % Domain   : Number Theory (RDN arithmetic)
% 0.59/0.95  % Problem  : 2 !< -2
% 0.59/0.95  % Version  : Especial.
% 0.59/0.95  % English  :
% 0.59/0.95  
% 0.59/0.95  % Refs     :
% 0.59/0.95  % Source   : [TPTP]
% 0.59/0.95  % Names    :
% 0.59/0.95  
% 0.59/0.95  % Status   : Theorem
% 0.59/0.95  % Rating   : 0.17 v8.2.0, 0.14 v8.1.0, 0.11 v7.5.0, 0.12 v7.4.0, 0.10 v7.1.0, 0.13 v6.4.0, 0.15 v6.3.0, 0.12 v6.2.0, 0.20 v6.1.0, 0.23 v6.0.0, 0.22 v5.5.0, 0.26 v5.4.0, 0.29 v5.3.0, 0.26 v5.2.0, 0.10 v5.1.0, 0.14 v5.0.0, 0.25 v4.1.0, 0.26 v4.0.0, 0.25 v3.7.0, 0.30 v3.5.0, 0.37 v3.4.0, 0.32 v3.3.0, 0.29 v3.2.0, 0.45 v3.1.0
% 0.59/0.95  % Syntax   : Number of formulae    :  402 ( 375 unt;   0 def)
% 0.59/0.95  %            Number of atoms       :  473 (   5 equ)
% 0.59/0.95  %            Maximal formula atoms :    8 (   1 avg)
% 0.59/0.95  %            Number of connectives :   74 (   3   ~;   1   |;  43   &)
% 0.59/0.95  %                                         (   3 <=>;  24  =>;   0  <=;   0 <~>)
% 0.59/0.95  %            Maximal formula depth :   19 (   1 avg)
% 0.59/0.95  %            Maximal term depth    :    5 (   2 avg)
% 0.59/0.95  %            Number of predicates  :   11 (  10 usr;   0 prp; 1-4 aty)
% 0.59/0.95  %            Number of functors    :  260 ( 260 usr; 256 con; 0-2 aty)
% 0.59/0.95  %            Number of variables   :  121 ( 121   !;   0   ?)
% 0.59/0.95  % SPC      : FOF_THM_RFO_SEQ
% 0.59/0.95  
% 0.59/0.95  % Comments :
% 0.59/0.95  %------------------------------------------------------------------------------
% 0.59/0.95  %----Include axioms for RDN arithmetic
% 0.59/0.95  include('Axioms/NUM005+0.ax').
% 0.59/0.95  include('Axioms/NUM005+1.ax').
% 0.59/0.95  include('Axioms/NUM005+2.ax').
% 0.59/0.95  %------------------------------------------------------------------------------
% 0.59/0.95  fof(n2_not_less_nn2,conjecture,
% 0.59/0.95      ~ less(n2,nn2) ).
% 0.59/0.95  
% 0.59/0.95  %------------------------------------------------------------------------------
% 0.59/0.95  %-------------------------------------------
% 0.59/0.95  % Proof found
% 0.59/0.95  % SZS status Theorem for theBenchmark
% 0.59/0.95  % SZS output start Proof
% 0.59/0.95  %ClaNum:439(EqnAxiom:32)
% 0.59/0.95  %VarNum:271(SingletonVarNum:132)
% 0.59/0.95  %MaxLitNum:8
% 0.59/0.95  %MaxfuncDepth:4
% 0.59/0.95  %SharedTerms:953
% 0.59/0.95  %goalClause: 42
% 0.59/0.95  %singleGoalClaCount:1
% 0.59/0.95  [42]P2(a4,a120)
% 0.59/0.95  [33]P1(f3(a1))
% 0.59/0.95  [34]P1(f3(a4))
% 0.59/0.95  [35]P1(f3(a43))
% 0.59/0.95  [36]P1(f3(a54))
% 0.59/0.95  [37]P1(f3(a65))
% 0.59/0.95  [38]P1(f3(a76))
% 0.59/0.95  [39]P1(f3(a87))
% 0.59/0.95  [40]P1(f3(a98))
% 0.59/0.95  [41]P1(f3(a109))
% 0.59/0.95  [43]P8(f3(a2),f3(a1))
% 0.59/0.95  [44]P8(f3(a1),f3(a4))
% 0.59/0.95  [45]P8(f3(a4),f3(a43))
% 0.59/0.95  [46]P8(f3(a43),f3(a54))
% 0.59/0.95  [47]P8(f3(a54),f3(a65))
% 0.59/0.95  [48]P8(f3(a65),f3(a76))
% 0.59/0.95  [49]P8(f3(a76),f3(a87))
% 0.59/0.95  [50]P8(f3(a87),f3(a98))
% 0.59/0.96  [51]P8(f3(a98),f3(a109))
% 0.59/0.96  [308]P4(f3(a2),f3(a2),f3(a2),f3(a2))
% 0.59/0.96  [309]P4(f3(a2),f3(a1),f3(a1),f3(a2))
% 0.59/0.96  [310]P4(f3(a2),f3(a4),f3(a4),f3(a2))
% 0.59/0.96  [311]P4(f3(a2),f3(a43),f3(a43),f3(a2))
% 0.59/0.96  [312]P4(f3(a2),f3(a54),f3(a54),f3(a2))
% 0.59/0.96  [313]P4(f3(a2),f3(a65),f3(a65),f3(a2))
% 0.59/0.96  [314]P4(f3(a2),f3(a76),f3(a76),f3(a2))
% 0.59/0.96  [315]P4(f3(a2),f3(a87),f3(a87),f3(a2))
% 0.59/0.96  [316]P4(f3(a2),f3(a98),f3(a98),f3(a2))
% 0.59/0.96  [317]P4(f3(a2),f3(a109),f3(a109),f3(a2))
% 0.59/0.96  [318]P4(f3(a1),f3(a2),f3(a1),f3(a2))
% 0.59/0.96  [319]P4(f3(a1),f3(a1),f3(a4),f3(a2))
% 0.59/0.96  [320]P4(f3(a1),f3(a4),f3(a43),f3(a2))
% 0.59/0.96  [321]P4(f3(a1),f3(a43),f3(a54),f3(a2))
% 0.59/0.96  [322]P4(f3(a1),f3(a54),f3(a65),f3(a2))
% 0.59/0.96  [323]P4(f3(a1),f3(a65),f3(a76),f3(a2))
% 0.59/0.96  [324]P4(f3(a1),f3(a76),f3(a87),f3(a2))
% 0.59/0.96  [325]P4(f3(a1),f3(a87),f3(a98),f3(a2))
% 0.59/0.96  [326]P4(f3(a1),f3(a98),f3(a109),f3(a2))
% 0.59/0.96  [327]P4(f3(a1),f3(a109),f3(a2),f3(a1))
% 0.59/0.96  [328]P4(f3(a4),f3(a2),f3(a4),f3(a2))
% 0.59/0.96  [329]P4(f3(a4),f3(a1),f3(a43),f3(a2))
% 0.59/0.96  [330]P4(f3(a4),f3(a4),f3(a54),f3(a2))
% 0.59/0.96  [331]P4(f3(a4),f3(a43),f3(a65),f3(a2))
% 0.59/0.96  [332]P4(f3(a4),f3(a54),f3(a76),f3(a2))
% 0.59/0.96  [333]P4(f3(a4),f3(a65),f3(a87),f3(a2))
% 0.59/0.96  [334]P4(f3(a4),f3(a76),f3(a98),f3(a2))
% 0.59/0.96  [335]P4(f3(a4),f3(a87),f3(a109),f3(a2))
% 0.59/0.96  [336]P4(f3(a4),f3(a98),f3(a2),f3(a1))
% 0.59/0.96  [337]P4(f3(a4),f3(a109),f3(a1),f3(a1))
% 0.59/0.96  [338]P4(f3(a43),f3(a2),f3(a43),f3(a2))
% 0.59/0.96  [339]P4(f3(a43),f3(a1),f3(a54),f3(a2))
% 0.59/0.96  [340]P4(f3(a43),f3(a4),f3(a65),f3(a2))
% 0.59/0.96  [341]P4(f3(a43),f3(a43),f3(a76),f3(a2))
% 0.59/0.96  [342]P4(f3(a43),f3(a54),f3(a87),f3(a2))
% 0.59/0.96  [343]P4(f3(a43),f3(a65),f3(a98),f3(a2))
% 0.59/0.96  [344]P4(f3(a43),f3(a76),f3(a109),f3(a2))
% 0.59/0.96  [345]P4(f3(a43),f3(a87),f3(a2),f3(a1))
% 0.59/0.96  [346]P4(f3(a43),f3(a98),f3(a1),f3(a1))
% 0.59/0.96  [347]P4(f3(a43),f3(a109),f3(a4),f3(a1))
% 0.59/0.96  [348]P4(f3(a54),f3(a2),f3(a54),f3(a2))
% 0.59/0.96  [349]P4(f3(a54),f3(a1),f3(a65),f3(a2))
% 0.59/0.96  [350]P4(f3(a54),f3(a4),f3(a76),f3(a2))
% 0.59/0.96  [351]P4(f3(a54),f3(a43),f3(a87),f3(a2))
% 0.59/0.96  [352]P4(f3(a54),f3(a54),f3(a98),f3(a2))
% 0.59/0.96  [353]P4(f3(a54),f3(a65),f3(a109),f3(a2))
% 0.59/0.96  [354]P4(f3(a54),f3(a76),f3(a2),f3(a1))
% 0.59/0.96  [355]P4(f3(a54),f3(a87),f3(a1),f3(a1))
% 0.59/0.96  [356]P4(f3(a54),f3(a98),f3(a4),f3(a1))
% 0.59/0.96  [357]P4(f3(a54),f3(a109),f3(a43),f3(a1))
% 0.59/0.96  [358]P4(f3(a65),f3(a2),f3(a65),f3(a2))
% 0.59/0.96  [359]P4(f3(a65),f3(a1),f3(a76),f3(a2))
% 0.59/0.96  [360]P4(f3(a65),f3(a4),f3(a87),f3(a2))
% 0.59/0.96  [361]P4(f3(a65),f3(a43),f3(a98),f3(a2))
% 0.59/0.96  [362]P4(f3(a65),f3(a54),f3(a109),f3(a2))
% 0.59/0.96  [363]P4(f3(a65),f3(a65),f3(a2),f3(a1))
% 0.59/0.96  [364]P4(f3(a65),f3(a76),f3(a1),f3(a1))
% 0.59/0.96  [365]P4(f3(a65),f3(a87),f3(a4),f3(a1))
% 0.59/0.96  [366]P4(f3(a65),f3(a98),f3(a43),f3(a1))
% 0.59/0.96  [367]P4(f3(a65),f3(a109),f3(a54),f3(a1))
% 0.59/0.96  [368]P4(f3(a76),f3(a2),f3(a76),f3(a2))
% 0.59/0.96  [369]P4(f3(a76),f3(a1),f3(a87),f3(a2))
% 0.59/0.96  [370]P4(f3(a76),f3(a4),f3(a98),f3(a2))
% 0.59/0.96  [371]P4(f3(a76),f3(a43),f3(a109),f3(a2))
% 0.59/0.96  [372]P4(f3(a76),f3(a54),f3(a2),f3(a1))
% 0.59/0.96  [373]P4(f3(a76),f3(a65),f3(a1),f3(a1))
% 0.59/0.96  [374]P4(f3(a76),f3(a76),f3(a4),f3(a1))
% 0.59/0.96  [375]P4(f3(a76),f3(a87),f3(a43),f3(a1))
% 0.59/0.96  [376]P4(f3(a76),f3(a98),f3(a54),f3(a1))
% 0.59/0.96  [377]P4(f3(a76),f3(a109),f3(a65),f3(a1))
% 0.59/0.96  [378]P4(f3(a87),f3(a2),f3(a87),f3(a2))
% 0.59/0.96  [379]P4(f3(a87),f3(a1),f3(a98),f3(a2))
% 0.59/0.96  [380]P4(f3(a87),f3(a4),f3(a109),f3(a2))
% 0.59/0.96  [381]P4(f3(a87),f3(a43),f3(a2),f3(a1))
% 0.59/0.96  [382]P4(f3(a87),f3(a54),f3(a1),f3(a1))
% 0.59/0.96  [383]P4(f3(a87),f3(a65),f3(a4),f3(a1))
% 0.59/0.96  [384]P4(f3(a87),f3(a76),f3(a43),f3(a1))
% 0.59/0.96  [385]P4(f3(a87),f3(a87),f3(a54),f3(a1))
% 0.59/0.96  [386]P4(f3(a87),f3(a98),f3(a65),f3(a1))
% 0.59/0.96  [387]P4(f3(a87),f3(a109),f3(a76),f3(a1))
% 0.59/0.96  [388]P4(f3(a98),f3(a2),f3(a98),f3(a2))
% 0.59/0.96  [389]P4(f3(a98),f3(a1),f3(a109),f3(a2))
% 0.59/0.96  [390]P4(f3(a98),f3(a4),f3(a2),f3(a1))
% 0.59/0.96  [391]P4(f3(a98),f3(a43),f3(a1),f3(a1))
% 0.59/0.96  [392]P4(f3(a98),f3(a54),f3(a4),f3(a1))
% 0.59/0.96  [393]P4(f3(a98),f3(a65),f3(a43),f3(a1))
% 0.59/0.96  [394]P4(f3(a98),f3(a76),f3(a54),f3(a1))
% 0.59/0.96  [395]P4(f3(a98),f3(a87),f3(a65),f3(a1))
% 0.59/0.96  [396]P4(f3(a98),f3(a98),f3(a76),f3(a1))
% 0.59/0.96  [397]P4(f3(a98),f3(a109),f3(a87),f3(a1))
% 0.59/0.96  [398]P4(f3(a109),f3(a2),f3(a109),f3(a2))
% 0.59/0.96  [399]P4(f3(a109),f3(a1),f3(a2),f3(a1))
% 0.59/0.96  [400]P4(f3(a109),f3(a4),f3(a1),f3(a1))
% 0.59/0.96  [401]P4(f3(a109),f3(a43),f3(a4),f3(a1))
% 0.59/0.96  [402]P4(f3(a109),f3(a54),f3(a43),f3(a1))
% 0.59/0.96  [403]P4(f3(a109),f3(a65),f3(a54),f3(a1))
% 0.59/0.96  [404]P4(f3(a109),f3(a76),f3(a65),f3(a1))
% 0.59/0.96  [405]P4(f3(a109),f3(a87),f3(a76),f3(a1))
% 0.59/0.96  [406]P4(f3(a109),f3(a98),f3(a87),f3(a1))
% 0.59/0.96  [407]P4(f3(a109),f3(a109),f3(a98),f3(a1))
% 0.59/0.96  [52]P9(a2,f171(f3(a2)))
% 0.59/0.96  [53]P9(a1,f171(f3(a1)))
% 0.59/0.96  [54]P9(a4,f171(f3(a4)))
% 0.59/0.96  [55]P9(a43,f171(f3(a43)))
% 0.59/0.96  [56]P9(a54,f171(f3(a54)))
% 0.59/0.96  [57]P9(a65,f171(f3(a65)))
% 0.59/0.96  [58]P9(a76,f171(f3(a76)))
% 0.59/0.96  [59]P9(a87,f171(f3(a87)))
% 0.59/0.96  [60]P9(a98,f171(f3(a98)))
% 0.59/0.96  [61]P9(a109,f171(f3(a109)))
% 0.59/0.96  [62]P9(a121,f172(f3(a1)))
% 0.59/0.96  [63]P9(a120,f172(f3(a4)))
% 0.59/0.96  [64]P9(a173,f172(f3(a43)))
% 0.59/0.96  [65]P9(a184,f172(f3(a54)))
% 0.59/0.96  [66]P9(a195,f172(f3(a65)))
% 0.59/0.96  [67]P9(a206,f172(f3(a76)))
% 0.59/0.96  [68]P9(a217,f172(f3(a87)))
% 0.59/0.96  [69]P9(a228,f172(f3(a98)))
% 0.59/0.96  [70]P9(a239,f172(f3(a109)))
% 0.59/0.96  [71]P9(a5,f171(f250(f3(a2),f3(a1))))
% 0.59/0.96  [72]P9(a6,f171(f250(f3(a1),f3(a1))))
% 0.59/0.96  [73]P9(a17,f171(f250(f3(a4),f3(a1))))
% 0.59/0.96  [74]P9(a28,f171(f250(f3(a43),f3(a1))))
% 0.59/0.96  [75]P9(a37,f171(f250(f3(a54),f3(a1))))
% 0.59/0.96  [76]P9(a38,f171(f250(f3(a65),f3(a1))))
% 0.59/0.96  [77]P9(a39,f171(f250(f3(a76),f3(a1))))
% 0.59/0.96  [78]P9(a40,f171(f250(f3(a87),f3(a1))))
% 0.59/0.96  [79]P9(a41,f171(f250(f3(a98),f3(a1))))
% 0.59/0.96  [80]P9(a42,f171(f250(f3(a109),f3(a1))))
% 0.59/0.96  [81]P9(a44,f171(f250(f3(a2),f3(a4))))
% 0.59/0.96  [82]P9(a45,f171(f250(f3(a1),f3(a4))))
% 0.59/0.96  [83]P9(a46,f171(f250(f3(a4),f3(a4))))
% 0.59/0.96  [84]P9(a47,f171(f250(f3(a43),f3(a4))))
% 0.59/0.96  [85]P9(a48,f171(f250(f3(a54),f3(a4))))
% 0.59/0.96  [86]P9(a49,f171(f250(f3(a65),f3(a4))))
% 0.59/0.96  [87]P9(a50,f171(f250(f3(a76),f3(a4))))
% 0.59/0.96  [88]P9(a51,f171(f250(f3(a87),f3(a4))))
% 0.59/0.96  [89]P9(a52,f171(f250(f3(a98),f3(a4))))
% 0.59/0.96  [90]P9(a53,f171(f250(f3(a109),f3(a4))))
% 0.59/0.96  [91]P9(a55,f171(f250(f3(a2),f3(a43))))
% 0.59/0.96  [92]P9(a56,f171(f250(f3(a1),f3(a43))))
% 0.59/0.96  [93]P9(a57,f171(f250(f3(a4),f3(a43))))
% 0.59/0.96  [94]P9(a58,f171(f250(f3(a43),f3(a43))))
% 0.59/0.96  [95]P9(a59,f171(f250(f3(a54),f3(a43))))
% 0.59/0.96  [96]P9(a60,f171(f250(f3(a65),f3(a43))))
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% 0.59/0.97  [295]P9(a151,f172(f250(f3(a76),f250(f3(a1),f3(a1)))))
% 0.59/0.97  [296]P9(a152,f172(f250(f3(a87),f250(f3(a1),f3(a1)))))
% 0.59/0.97  [297]P9(a153,f172(f250(f3(a98),f250(f3(a1),f3(a1)))))
% 0.59/0.97  [298]P9(a154,f172(f250(f3(a109),f250(f3(a1),f3(a1)))))
% 0.59/0.97  [299]P9(a156,f172(f250(f3(a2),f250(f3(a4),f3(a1)))))
% 0.59/0.97  [300]P9(a157,f172(f250(f3(a1),f250(f3(a4),f3(a1)))))
% 0.59/0.97  [301]P9(a158,f172(f250(f3(a4),f250(f3(a4),f3(a1)))))
% 0.59/0.97  [302]P9(a159,f172(f250(f3(a43),f250(f3(a4),f3(a1)))))
% 0.59/0.97  [303]P9(a160,f172(f250(f3(a54),f250(f3(a4),f3(a1)))))
% 0.59/0.97  [304]P9(a161,f172(f250(f3(a65),f250(f3(a4),f3(a1)))))
% 0.59/0.97  [305]P9(a162,f172(f250(f3(a76),f250(f3(a4),f3(a1)))))
% 0.59/0.97  [306]P9(a163,f172(f250(f3(a87),f250(f3(a4),f3(a1)))))
% 0.59/0.97  [307]P9(a164,f172(f250(f3(a98),f250(f3(a4),f3(a1)))))
% 0.59/0.97  [410]P7(f3(x4101))+~P1(f3(x4101))
% 0.59/0.97  [408]~E(x4081,x4082)+P5(x4081,x4082)
% 0.59/0.97  [409]~P2(x4092,x4091)+~E(x4091,x4092)
% 0.59/0.97  [412]~P2(x4121,x4122)+P5(x4121,x4122)
% 0.59/0.97  [414]~P2(x4142,x4141)+~P2(x4141,x4142)
% 0.59/0.97  [415]~P7(x4152)+P7(f250(f3(x4151),x4152))
% 0.59/0.97  [425]~P3(x4253,x4251,x4252)+P10(x4251,x4252,x4253)
% 0.59/0.97  [426]~P10(x4262,x4263,x4261)+P3(x4261,x4262,x4263)
% 0.59/0.97  [416]~P7(x4163)+P8(f3(x4161),f250(f3(x4162),x4163))
% 0.59/0.97  [421]~P8(x4212,x4214)+P8(f250(f3(x4211),x4212),f250(f3(x4213),x4214))
% 0.59/0.97  [435]P6(f3(x4351),f250(f3(x4352),x4353),f3(x4354),f250(f3(x4355),x4356))+~P6(f3(x4351),f3(x4354),f250(f3(x4352),x4353),f250(f3(x4355),x4356))
% 0.59/0.97  [411]P2(x4112,x4111)+P2(x4111,x4112)+E(x4111,x4112)
% 0.59/0.97  [413]P2(x4131,x4132)+~P5(x4131,x4132)+E(x4131,x4132)
% 0.59/0.97  [423]P5(x4231,x4232)+~P2(x4231,x4233)+~P10(x4232,a1,x4233)
% 0.59/0.97  [420]P8(f3(x4201),f3(x4202))+~P8(f3(x4203),f3(x4202))+~P8(f3(x4201),f3(x4203))
% 0.59/0.97  [422]P10(x4221,x4222,a2)+~P9(x4221,f171(x4223))+~P9(x4222,f172(x4223))
% 0.59/0.97  [424]~P7(x4242)+~P8(f3(x4241),f3(x4243))+P8(f250(f3(x4241),x4242),f250(f3(x4243),x4242))
% 0.59/0.97  [427]~P10(x4273,x4274,x4271)+E(x4271,x4272)+~P10(x4273,x4274,x4272)
% 0.59/0.97  [428]~P10(x4283,x4281,x4284)+E(x4281,x4282)+~P10(x4283,x4282,x4284)
% 0.59/0.97  [429]~P10(x4291,x4293,x4294)+E(x4291,x4292)+~P10(x4292,x4293,x4294)
% 0.59/0.97  [417]P2(x4171,x4172)+~P9(x4172,f171(x4173))+~P9(x4171,f172(x4174))
% 0.59/0.97  [436]P6(f3(x4361),f3(x4362),f3(x4363),f3(x4364))+~P4(f3(x4365),f3(x4361),f3(x4364),f3(a2))+~P4(f3(x4362),f3(x4363),f3(x4365),f3(a2))
% 0.59/0.97  [418]P2(x4181,x4182)+~P8(x4183,x4184)+~P9(x4182,f172(x4183))+~P9(x4181,f172(x4184))
% 0.59/0.97  [419]P2(x4191,x4192)+~P8(x4193,x4194)+~P9(x4192,f171(x4194))+~P9(x4191,f171(x4193))
% 0.59/0.97  [430]~P10(x4302,x4301,x4303)+P10(x4301,x4302,x4303)+~P9(x4302,f171(x4304))+~P9(x4301,f172(x4305))
% 0.59/0.97  [437]~P4(f3(x4375),f3(x4371),f3(x4374),f3(x4376))+~P4(f3(x4372),f3(x4373),f3(x4375),f3(x4377))+~P4(f3(x4377),f3(x4376),f3(a1),f3(a2))+P6(f3(x4371),f3(x4372),f3(x4373),f250(f3(x4374),f3(a1)))
% 0.59/0.97  [431]P10(x4311,x4312,x4313)+~P6(f3(a2),x4316,x4315,x4314)+~P9(x4313,f171(x4314))+~P9(x4312,f171(x4315))+~P9(x4311,f171(x4316))
% 0.59/0.97  [432]P10(x4321,x4322,x4323)+~P6(f3(a2),x4326,x4325,x4324)+~P9(x4323,f172(x4324))+~P9(x4322,f172(x4325))+~P9(x4321,f172(x4326))
% 0.59/0.97  [433]P10(x4331,x4332,x4333)+~P8(x4334,x4335)+~P6(f3(a2),x4334,x4336,x4335)+~P9(x4332,f172(x4334))+~P9(x4331,f171(x4335))+~P9(x4333,f171(x4336))
% 0.59/0.97  [434]P10(x4341,x4342,x4343)+~P8(x4344,x4345)+~P6(f3(a2),x4344,x4346,x4345)+~P9(x4342,f172(x4345))+~P9(x4341,f171(x4344))+~P9(x4343,f172(x4346))
% 0.59/0.97  [438]~P7(x4386)+~P7(x4384)+~P4(f3(x4388),f3(x4381),f3(x4385),f3(x4389))+~P4(f3(x4382),f3(x4383),f3(x4388),f3(x43810))+~P6(f3(x4387),f3(a2),x4384,x4386)+~P4(f3(x43810),f3(x4389),f3(x4387),f3(a2))+P6(f3(x4381),f3(x4382),f250(f3(x4383),x4384),f250(f3(x4385),x4386))
% 0.59/0.97  [439]~P7(x4397)+~P7(x4395)+~P7(x4393)+~P6(f3(x4398),x4393,x4395,x4397)+~P4(f3(x4399),f3(x4391),f3(x4396),f3(x43910))+~P4(f3(x4392),f3(x4394),f3(x4399),f3(x43911))+~P4(f3(x43911),f3(x43910),f3(x4398),f3(a2))+P6(f3(x4391),f250(f3(x4392),x4393),f250(f3(x4394),x4395),f250(f3(x4396),x4397))
% 0.59/0.97  %EqnAxiom
% 0.59/0.97  [1]E(x11,x11)
% 0.59/0.97  [2]E(x22,x21)+~E(x21,x22)
% 0.59/0.97  [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.59/0.97  [4]~E(x41,x42)+E(f3(x41),f3(x42))
% 0.59/0.97  [5]~E(x51,x52)+E(f250(x51,x53),f250(x52,x53))
% 0.59/0.97  [6]~E(x61,x62)+E(f250(x63,x61),f250(x63,x62))
% 0.59/0.97  [7]~E(x71,x72)+E(f172(x71),f172(x72))
% 0.59/0.97  [8]~E(x81,x82)+E(f171(x81),f171(x82))
% 0.59/0.97  [9]~P1(x91)+P1(x92)+~E(x91,x92)
% 0.59/0.97  [10]P4(x102,x103,x104,x105)+~E(x101,x102)+~P4(x101,x103,x104,x105)
% 0.59/0.97  [11]P4(x113,x112,x114,x115)+~E(x111,x112)+~P4(x113,x111,x114,x115)
% 0.59/0.97  [12]P4(x123,x124,x122,x125)+~E(x121,x122)+~P4(x123,x124,x121,x125)
% 0.59/0.97  [13]P4(x133,x134,x135,x132)+~E(x131,x132)+~P4(x133,x134,x135,x131)
% 0.59/0.97  [14]P6(x142,x143,x144,x145)+~E(x141,x142)+~P6(x141,x143,x144,x145)
% 0.59/0.97  [15]P6(x153,x152,x154,x155)+~E(x151,x152)+~P6(x153,x151,x154,x155)
% 0.59/0.97  [16]P6(x163,x164,x162,x165)+~E(x161,x162)+~P6(x163,x164,x161,x165)
% 0.59/0.97  [17]P6(x173,x174,x175,x172)+~E(x171,x172)+~P6(x173,x174,x175,x171)
% 0.59/0.97  [18]~P7(x181)+P7(x182)+~E(x181,x182)
% 0.59/0.97  [19]P5(x192,x193)+~E(x191,x192)+~P5(x191,x193)
% 0.59/0.97  [20]P5(x203,x202)+~E(x201,x202)+~P5(x203,x201)
% 0.59/0.97  [21]P8(x212,x213)+~E(x211,x212)+~P8(x211,x213)
% 0.59/0.97  [22]P8(x223,x222)+~E(x221,x222)+~P8(x223,x221)
% 0.59/0.97  [23]P2(x232,x233)+~E(x231,x232)+~P2(x231,x233)
% 0.59/0.97  [24]P2(x243,x242)+~E(x241,x242)+~P2(x243,x241)
% 0.59/0.97  [25]P9(x252,x253)+~E(x251,x252)+~P9(x251,x253)
% 0.59/0.97  [26]P9(x263,x262)+~E(x261,x262)+~P9(x263,x261)
% 0.59/0.97  [27]P10(x272,x273,x274)+~E(x271,x272)+~P10(x271,x273,x274)
% 0.59/0.97  [28]P10(x283,x282,x284)+~E(x281,x282)+~P10(x283,x281,x284)
% 0.59/0.97  [29]P10(x293,x294,x292)+~E(x291,x292)+~P10(x293,x294,x291)
% 0.59/0.97  [30]P3(x302,x303,x304)+~E(x301,x302)+~P3(x301,x303,x304)
% 0.59/0.97  [31]P3(x313,x312,x314)+~E(x311,x312)+~P3(x313,x311,x314)
% 0.59/0.97  [32]P3(x323,x324,x322)+~E(x321,x322)+~P3(x323,x324,x321)
% 0.59/0.97  
% 0.59/0.97  %-------------------------------------------
% 0.59/0.97  cnf(440,plain,
% 0.59/0.97     (P5(x4401,x4401)),
% 0.59/0.97     inference(equality_inference,[],[408])).
% 0.59/0.97  cnf(441,plain,
% 0.59/0.97     (~P2(x4411,x4411)),
% 0.59/0.97     inference(equality_inference,[],[409])).
% 0.59/0.97  cnf(442,plain,
% 0.59/0.97     (~P2(a120,a4)),
% 0.59/0.97     inference(scs_inference,[],[42,414])).
% 0.59/0.97  cnf(445,plain,
% 0.59/0.97     (~P2(x4451,x4451)),
% 0.59/0.97     inference(rename_variables,[],[441])).
% 0.59/0.97  cnf(447,plain,
% 0.59/0.97     (~P2(x4471,x4471)),
% 0.59/0.97     inference(rename_variables,[],[441])).
% 0.59/0.97  cnf(448,plain,
% 0.59/0.97     (P2(a121,a2)),
% 0.59/0.97     inference(scs_inference,[],[42,441,445,52,62,414,23,24,417])).
% 0.59/0.97  cnf(455,plain,
% 0.59/0.97     (~P2(x4551,x4551)),
% 0.59/0.97     inference(rename_variables,[],[441])).
% 0.59/0.97  cnf(468,plain,
% 0.59/0.97     (~E(f3(a1),f3(a2))),
% 0.59/0.97     inference(scs_inference,[],[42,441,445,447,455,440,308,43,52,53,62,414,23,24,417,422,436,418,419,430,431,19,420,21,22])).
% 0.59/0.97  cnf(475,plain,
% 0.59/0.97     ($false),
% 0.59/0.97     inference(scs_inference,[],[442,448,468,54,63,414,4,417]),
% 0.59/0.97     ['proof']).
% 0.59/0.97  % SZS output end Proof
% 0.59/0.97  % Total time :0.140000s
%------------------------------------------------------------------------------