TSTP Solution File: SWC412+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWC412+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% 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 : Wed Aug 31 18:43:42 EDT 2022

% Result   : Theorem 7.20s 1.31s
% Output   : Refutation 7.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :  132
% Syntax   : Number of formulae    :  555 (  47 unt;   0 def)
%            Number of atoms       : 1710 ( 414 equ)
%            Maximal formula atoms :   28 (   3 avg)
%            Number of connectives : 2025 ( 870   ~; 948   |;  50   &)
%                                         ( 114 <=>;  43  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   21 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :  124 ( 122 usr; 111 prp; 0-2 aty)
%            Number of functors    :   21 (  21 usr;  16 con; 0-2 aty)
%            Number of variables   :  342 ( 309   !;  33   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1369,plain,
    $false,
    inference(avatar_smt_refutation,[],[f522,f531,f536,f545,f549,f554,f559,f568,f569,f574,f579,f584,f588,f593,f597,f598,f603,f608,f609,f610,f615,f621,f622,f623,f628,f633,f634,f635,f640,f641,f642,f643,f649,f650,f656,f661,f662,f663,f664,f665,f670,f675,f676,f677,f678,f681,f682,f684,f685,f686,f687,f688,f689,f692,f693,f694,f700,f701,f702,f705,f708,f709,f710,f711,f716,f717,f719,f720,f721,f724,f736,f741,f746,f751,f756,f766,f771,f776,f781,f811,f820,f829,f838,f850,f855,f860,f869,f871,f877,f883,f979,f983,f988,f992,f993,f994,f1014,f1019,f1020,f1024,f1028,f1029,f1049,f1053,f1054,f1059,f1063,f1064,f1076,f1081,f1086,f1091,f1096,f1101,f1103,f1120,f1125,f1130,f1152,f1157,f1163,f1168,f1171,f1176,f1182,f1184,f1193,f1195,f1201,f1203,f1209,f1212,f1218,f1220,f1253,f1254,f1255,f1261,f1268,f1280,f1285,f1290,f1295,f1300,f1305,f1317,f1322,f1327,f1332,f1337,f1342,f1349,f1354,f1360,f1367,f1368]) ).

fof(f1368,plain,
    ( spl60_27
    | ~ spl60_16 ),
    inference(avatar_split_clause,[],[f726,f586,f654]) ).

fof(f654,plain,
    ( spl60_27
  <=> ! [X12,X11,X10] :
        ( sK32 != app(cons(X10,X12),cons(X11,nil))
        | sK31 = app(cons(X11,X12),cons(X10,nil))
        | ~ ssItem(X11)
        | ~ ssList(X12)
        | ~ ssItem(X10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl60_27])]) ).

fof(f586,plain,
    ( spl60_16
  <=> ! [X11,X12,X10] :
        ( ~ ssItem(X10)
        | ~ ssList(X12)
        | app(app(cons(X11,nil),X12),cons(X10,nil)) = sK31
        | ~ ssItem(X11)
        | app(app(cons(X10,nil),X12),cons(X11,nil)) != sK32 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl60_16])]) ).

fof(f726,plain,
    ( ! [X10,X11,X12] :
        ( ~ ssItem(X10)
        | sK31 = app(cons(X11,X12),cons(X10,nil))
        | ~ ssItem(X11)
        | ~ ssList(X12)
        | sK32 != app(cons(X10,X12),cons(X11,nil)) )
    | ~ spl60_16 ),
    inference(forward_subsumption_demodulation,[],[f725,f338]) ).

fof(f338,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssItem(X1)
      | cons(X1,X0) = app(cons(X1,nil),X0) ),
    inference(cnf_transformation,[],[f202]) ).

fof(f202,plain,
    ! [X0] :
      ( ! [X1] :
          ( cons(X1,X0) = app(cons(X1,nil),X0)
          | ~ ssItem(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f81]) ).

fof(f81,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssItem(X1)
         => cons(X1,X0) = app(cons(X1,nil),X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax81) ).

fof(f725,plain,
    ( ! [X10,X11,X12] :
        ( ~ ssItem(X10)
        | app(app(cons(X11,nil),X12),cons(X10,nil)) = sK31
        | sK32 != app(cons(X10,X12),cons(X11,nil))
        | ~ ssItem(X11)
        | ~ ssList(X12) )
    | ~ spl60_16 ),
    inference(forward_subsumption_demodulation,[],[f587,f338]) ).

fof(f587,plain,
    ( ! [X10,X11,X12] :
        ( ~ ssItem(X11)
        | ~ ssList(X12)
        | app(app(cons(X10,nil),X12),cons(X11,nil)) != sK32
        | app(app(cons(X11,nil),X12),cons(X10,nil)) = sK31
        | ~ ssItem(X10) )
    | ~ spl60_16 ),
    inference(avatar_component_clause,[],[f586]) ).

fof(f1367,plain,
    ( spl60_110
    | ~ spl60_20
    | ~ spl60_2
    | ~ spl60_12
    | ~ spl60_27
    | ~ spl60_109 ),
    inference(avatar_split_clause,[],[f1366,f1351,f654,f565,f519,f605,f1357]) ).

fof(f1357,plain,
    ( spl60_110
  <=> sK31 = app(cons(sK38,sK41),cons(sK35,nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl60_110])]) ).

fof(f605,plain,
    ( spl60_20
  <=> ssList(sK41) ),
    introduced(avatar_definition,[new_symbols(naming,[spl60_20])]) ).

fof(f519,plain,
    ( spl60_2
  <=> ssItem(sK35) ),
    introduced(avatar_definition,[new_symbols(naming,[spl60_2])]) ).

fof(f565,plain,
    ( spl60_12
  <=> ssItem(sK38) ),
    introduced(avatar_definition,[new_symbols(naming,[spl60_12])]) ).

fof(f1351,plain,
    ( spl60_109
  <=> app(cons(sK35,sK41),cons(sK38,nil)) = sK32 ),
    introduced(avatar_definition,[new_symbols(naming,[spl60_109])]) ).

fof(f1366,plain,
    ( ~ ssItem(sK38)
    | ~ ssItem(sK35)
    | ~ ssList(sK41)
    | sK31 = app(cons(sK38,sK41),cons(sK35,nil))
    | ~ spl60_27
    | ~ spl60_109 ),
    inference(trivial_inequality_removal,[],[f1362]) ).

fof(f1362,plain,
    ( sK32 != sK32
    | ~ ssList(sK41)
    | sK31 = app(cons(sK38,sK41),cons(sK35,nil))
    | ~ ssItem(sK35)
    | ~ ssItem(sK38)
    | ~ spl60_27
    | ~ spl60_109 ),
    inference(superposition,[],[f655,f1353]) ).

fof(f1353,plain,
    ( app(cons(sK35,sK41),cons(sK38,nil)) = sK32
    | ~ spl60_109 ),
    inference(avatar_component_clause,[],[f1351]) ).

fof(f655,plain,
    ( ! [X10,X11,X12] :
        ( sK32 != app(cons(X10,X12),cons(X11,nil))
        | sK31 = app(cons(X11,X12),cons(X10,nil))
        | ~ ssItem(X10)
        | ~ ssList(X12)
        | ~ ssItem(X11) )
    | ~ spl60_27 ),
    inference(avatar_component_clause,[],[f654]) ).

fof(f1360,plain,
    ( ~ spl60_110
    | spl60_26
    | ~ spl60_106 ),
    inference(avatar_split_clause,[],[f1355,f1334,f646,f1357]) ).

fof(f646,plain,
    ( spl60_26
  <=> app(app(cons(sK38,nil),sK41),cons(sK35,nil)) = sK31 ),
    introduced(avatar_definition,[new_symbols(naming,[spl60_26])]) ).

fof(f1334,plain,
    ( spl60_106
  <=> app(cons(sK38,nil),sK41) = cons(sK38,sK41) ),
    introduced(avatar_definition,[new_symbols(naming,[spl60_106])]) ).

fof(f1355,plain,
    ( sK31 != app(cons(sK38,sK41),cons(sK35,nil))
    | spl60_26
    | ~ spl60_106 ),
    inference(backward_demodulation,[],[f648,f1336]) ).

fof(f1336,plain,
    ( app(cons(sK38,nil),sK41) = cons(sK38,sK41)
    | ~ spl60_106 ),
    inference(avatar_component_clause,[],[f1334]) ).

fof(f648,plain,
    ( app(app(cons(sK38,nil),sK41),cons(sK35,nil)) != sK31
    | spl60_26 ),
    inference(avatar_component_clause,[],[f646]) ).

fof(f1354,plain,
    ( spl60_109
    | ~ spl60_19
    | ~ spl60_102 ),
    inference(avatar_split_clause,[],[f1343,f1314,f600,f1351]) ).

fof(f600,plain,
    ( spl60_19
  <=> app(app(cons(sK35,nil),sK41),cons(sK38,nil)) = sK32 ),
    introduced(avatar_definition,[new_symbols(naming,[spl60_19])]) ).

fof(f1314,plain,
    ( spl60_102
  <=> cons(sK35,sK41) = app(cons(sK35,nil),sK41) ),
    introduced(avatar_definition,[new_symbols(naming,[spl60_102])]) ).

fof(f1343,plain,
    ( app(cons(sK35,sK41),cons(sK38,nil)) = sK32
    | ~ spl60_19
    | ~ spl60_102 ),
    inference(backward_demodulation,[],[f602,f1316]) ).

fof(f1316,plain,
    ( cons(sK35,sK41) = app(cons(sK35,nil),sK41)
    | ~ spl60_102 ),
    inference(avatar_component_clause,[],[f1314]) ).

fof(f602,plain,
    ( app(app(cons(sK35,nil),sK41),cons(sK38,nil)) = sK32
    | ~ spl60_19 ),
    inference(avatar_component_clause,[],[f600]) ).

fof(f1349,plain,
    ( ~ spl60_108
    | spl60_51
    | ~ spl60_102 ),
    inference(avatar_split_clause,[],[f1344,f1314,f852,f1346]) ).

fof(f1346,plain,
    ( spl60_108
  <=> nil = app(cons(sK35,sK41),cons(sK38,nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl60_108])]) ).

fof(f852,plain,
    ( spl60_51
  <=> nil = app(app(cons(sK35,nil),sK41),cons(sK38,nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl60_51])]) ).

fof(f1344,plain,
    ( nil != app(cons(sK35,sK41),cons(sK38,nil))
    | spl60_51
    | ~ spl60_102 ),
    inference(backward_demodulation,[],[f853,f1316]) ).

fof(f853,plain,
    ( nil != app(app(cons(sK35,nil),sK41),cons(sK38,nil))
    | spl60_51 ),
    inference(avatar_component_clause,[],[f852]) ).

fof(f1342,plain,
    ( spl60_107
    | ~ spl60_20
    | ~ spl60_22 ),
    inference(avatar_split_clause,[],[f1310,f618,f605,f1339]) ).

fof(f1339,plain,
    ( spl60_107
  <=> cons(sK39,sK41) = app(cons(sK39,nil),sK41) ),
    introduced(avatar_definition,[new_symbols(naming,[spl60_107])]) ).

fof(f618,plain,
    ( spl60_22
  <=> ssItem(sK39) ),
    introduced(avatar_definition,[new_symbols(naming,[spl60_22])]) ).

fof(f1310,plain,
    ( cons(sK39,sK41) = app(cons(sK39,nil),sK41)
    | ~ spl60_20
    | ~ spl60_22 ),
    inference(resolution,[],[f907,f620]) ).

fof(f620,plain,
    ( ssItem(sK39)
    | ~ spl60_22 ),
    inference(avatar_component_clause,[],[f618]) ).

fof(f907,plain,
    ( ! [X11] :
        ( ~ ssItem(X11)
        | app(cons(X11,nil),sK41) = cons(X11,sK41) )
    | ~ spl60_20 ),
    inference(resolution,[],[f338,f607]) ).

fof(f607,plain,
    ( ssList(sK41)
    | ~ spl60_20 ),
    inference(avatar_component_clause,[],[f605]) ).

fof(f1337,plain,
    ( spl60_106
    | ~ spl60_12
    | ~ spl60_20 ),
    inference(avatar_split_clause,[],[f1309,f605,f565,f1334]) ).

fof(f1309,plain,
    ( app(cons(sK38,nil),sK41) = cons(sK38,sK41)
    | ~ spl60_12
    | ~ spl60_20 ),
    inference(resolution,[],[f907,f567]) ).

fof(f567,plain,
    ( ssItem(sK38)
    | ~ spl60_12 ),
    inference(avatar_component_clause,[],[f565]) ).

fof(f1332,plain,
    ( spl60_105
    | ~ spl60_20
    | ~ spl60_25 ),
    inference(avatar_split_clause,[],[f1311,f637,f605,f1329]) ).

fof(f1329,plain,
    ( spl60_105
  <=> cons(sK57,sK41) = app(cons(sK57,nil),sK41) ),
    introduced(avatar_definition,[new_symbols(naming,[spl60_105])]) ).

fof(f637,plain,
    ( spl60_25
  <=> ssItem(sK57) ),
    introduced(avatar_definition,[new_symbols(naming,[spl60_25])]) ).

fof(f1311,plain,
    ( cons(sK57,sK41) = app(cons(sK57,nil),sK41)
    | ~ spl60_20
    | ~ spl60_25 ),
    inference(resolution,[],[f907,f639]) ).

fof(f639,plain,
    ( ssItem(sK57)
    | ~ spl60_25 ),
    inference(avatar_component_clause,[],[f637]) ).

fof(f1327,plain,
    ( spl60_104
    | ~ spl60_20
    | ~ spl60_32 ),
    inference(avatar_split_clause,[],[f1312,f713,f605,f1324]) ).

fof(f1324,plain,
    ( spl60_104
  <=> app(cons(sK58,nil),sK41) = cons(sK58,sK41) ),
    introduced(avatar_definition,[new_symbols(naming,[spl60_104])]) ).

fof(f713,plain,
    ( spl60_32
  <=> ssItem(sK58) ),
    introduced(avatar_definition,[new_symbols(naming,[spl60_32])]) ).

fof(f1312,plain,
    ( app(cons(sK58,nil),sK41) = cons(sK58,sK41)
    | ~ spl60_20
    | ~ spl60_32 ),
    inference(resolution,[],[f907,f715]) ).

fof(f715,plain,
    ( ssItem(sK58)
    | ~ spl60_32 ),
    inference(avatar_component_clause,[],[f713]) ).

fof(f1322,plain,
    ( spl60_103
    | ~ spl60_17
    | ~ spl60_20 ),
    inference(avatar_split_clause,[],[f1308,f605,f590,f1319]) ).

fof(f1319,plain,
    ( spl60_103
  <=> app(cons(sK36,nil),sK41) = cons(sK36,sK41) ),
    introduced(avatar_definition,[new_symbols(naming,[spl60_103])]) ).

fof(f590,plain,
    ( spl60_17
  <=> ssItem(sK36) ),
    introduced(avatar_definition,[new_symbols(naming,[spl60_17])]) ).

fof(f1308,plain,
    ( app(cons(sK36,nil),sK41) = cons(sK36,sK41)
    | ~ spl60_17
    | ~ spl60_20 ),
    inference(resolution,[],[f907,f592]) ).

fof(f592,plain,
    ( ssItem(sK36)
    | ~ spl60_17 ),
    inference(avatar_component_clause,[],[f590]) ).

fof(f1317,plain,
    ( spl60_102
    | ~ spl60_2
    | ~ spl60_20 ),
    inference(avatar_split_clause,[],[f1307,f605,f519,f1314]) ).

fof(f1307,plain,
    ( cons(sK35,sK41) = app(cons(sK35,nil),sK41)
    | ~ spl60_2
    | ~ spl60_20 ),
    inference(resolution,[],[f907,f521]) ).

fof(f521,plain,
    ( ssItem(sK35)
    | ~ spl60_2 ),
    inference(avatar_component_clause,[],[f519]) ).

fof(f1305,plain,
    ( spl60_101
    | ~ spl60_5
    | ~ spl60_32 ),
    inference(avatar_split_clause,[],[f1275,f713,f533,f1302]) ).

fof(f1302,plain,
    ( spl60_101
  <=> app(cons(sK58,nil),sK32) = cons(sK58,sK32) ),
    introduced(avatar_definition,[new_symbols(naming,[spl60_101])]) ).

fof(f533,plain,
    ( spl60_5
  <=> ssList(sK32) ),
    introduced(avatar_definition,[new_symbols(naming,[spl60_5])]) ).

fof(f1275,plain,
    ( app(cons(sK58,nil),sK32) = cons(sK58,sK32)
    | ~ spl60_5
    | ~ spl60_32 ),
    inference(resolution,[],[f906,f715]) ).

fof(f906,plain,
    ( ! [X10] :
        ( ~ ssItem(X10)
        | app(cons(X10,nil),sK32) = cons(X10,sK32) )
    | ~ spl60_5 ),
    inference(resolution,[],[f338,f535]) ).

fof(f535,plain,
    ( ssList(sK32)
    | ~ spl60_5 ),
    inference(avatar_component_clause,[],[f533]) ).

fof(f1300,plain,
    ( spl60_100
    | ~ spl60_2
    | ~ spl60_5 ),
    inference(avatar_split_clause,[],[f1270,f533,f519,f1297]) ).

fof(f1297,plain,
    ( spl60_100
  <=> cons(sK35,sK32) = app(cons(sK35,nil),sK32) ),
    introduced(avatar_definition,[new_symbols(naming,[spl60_100])]) ).

fof(f1270,plain,
    ( cons(sK35,sK32) = app(cons(sK35,nil),sK32)
    | ~ spl60_2
    | ~ spl60_5 ),
    inference(resolution,[],[f906,f521]) ).

fof(f1295,plain,
    ( spl60_99
    | ~ spl60_5
    | ~ spl60_25 ),
    inference(avatar_split_clause,[],[f1274,f637,f533,f1292]) ).

fof(f1292,plain,
    ( spl60_99
  <=> app(cons(sK57,nil),sK32) = cons(sK57,sK32) ),
    introduced(avatar_definition,[new_symbols(naming,[spl60_99])]) ).

fof(f1274,plain,
    ( app(cons(sK57,nil),sK32) = cons(sK57,sK32)
    | ~ spl60_5
    | ~ spl60_25 ),
    inference(resolution,[],[f906,f639]) ).

fof(f1290,plain,
    ( spl60_98
    | ~ spl60_5
    | ~ spl60_17 ),
    inference(avatar_split_clause,[],[f1271,f590,f533,f1287]) ).

fof(f1287,plain,
    ( spl60_98
  <=> cons(sK36,sK32) = app(cons(sK36,nil),sK32) ),
    introduced(avatar_definition,[new_symbols(naming,[spl60_98])]) ).

fof(f1271,plain,
    ( cons(sK36,sK32) = app(cons(sK36,nil),sK32)
    | ~ spl60_5
    | ~ spl60_17 ),
    inference(resolution,[],[f906,f592]) ).

fof(f1285,plain,
    ( spl60_97
    | ~ spl60_5
    | ~ spl60_22 ),
    inference(avatar_split_clause,[],[f1273,f618,f533,f1282]) ).

fof(f1282,plain,
    ( spl60_97
  <=> app(cons(sK39,nil),sK32) = cons(sK39,sK32) ),
    introduced(avatar_definition,[new_symbols(naming,[spl60_97])]) ).

fof(f1273,plain,
    ( app(cons(sK39,nil),sK32) = cons(sK39,sK32)
    | ~ spl60_5
    | ~ spl60_22 ),
    inference(resolution,[],[f906,f620]) ).

fof(f1280,plain,
    ( spl60_96
    | ~ spl60_5
    | ~ spl60_12 ),
    inference(avatar_split_clause,[],[f1272,f565,f533,f1277]) ).

fof(f1277,plain,
    ( spl60_96
  <=> cons(sK38,sK32) = app(cons(sK38,nil),sK32) ),
    introduced(avatar_definition,[new_symbols(naming,[spl60_96])]) ).

fof(f1272,plain,
    ( cons(sK38,sK32) = app(cons(sK38,nil),sK32)
    | ~ spl60_5
    | ~ spl60_12 ),
    inference(resolution,[],[f906,f567]) ).

fof(f1268,plain,
    ( ~ spl60_57
    | spl60_95
    | ~ spl60_20
    | ~ spl60_27
    | ~ spl60_93 ),
    inference(avatar_split_clause,[],[f1264,f1215,f654,f605,f1266,f973]) ).

fof(f973,plain,
    ( spl60_57
  <=> ssItem(sK3(sK41)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl60_57])]) ).

fof(f1266,plain,
    ( spl60_95
  <=> ! [X0,X1] :
        ( cons(X0,app(X1,sK41)) != sK32
        | sK31 = app(cons(sK3(sK41),X1),cons(X0,nil))
        | ~ ssItem(X0)
        | ~ ssList(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl60_95])]) ).

fof(f1215,plain,
    ( spl60_93
  <=> cons(sK3(sK41),nil) = sK41 ),
    introduced(avatar_definition,[new_symbols(naming,[spl60_93])]) ).

fof(f1264,plain,
    ( ! [X0,X1] :
        ( cons(X0,app(X1,sK41)) != sK32
        | ~ ssList(X1)
        | ~ ssItem(X0)
        | ~ ssItem(sK3(sK41))
        | sK31 = app(cons(sK3(sK41),X1),cons(X0,nil)) )
    | ~ spl60_20
    | ~ spl60_27
    | ~ spl60_93 ),
    inference(forward_subsumption_demodulation,[],[f1243,f948]) ).

fof(f948,plain,
    ( ! [X18,X17] :
        ( ~ ssItem(X18)
        | app(cons(X18,X17),sK41) = cons(X18,app(X17,sK41))
        | ~ ssList(X17) )
    | ~ spl60_20 ),
    inference(resolution,[],[f339,f607]) ).

fof(f339,plain,
    ! [X2,X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssItem(X2)
      | cons(X2,app(X1,X0)) = app(cons(X2,X1),X0) ),
    inference(cnf_transformation,[],[f201]) ).

fof(f201,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( cons(X2,app(X1,X0)) = app(cons(X2,X1),X0)
              | ~ ssItem(X2) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f27]) ).

fof(f27,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssItem(X2)
             => cons(X2,app(X1,X0)) = app(cons(X2,X1),X0) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax27) ).

fof(f1243,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(sK3(sK41))
        | sK31 = app(cons(sK3(sK41),X1),cons(X0,nil))
        | app(cons(X0,X1),sK41) != sK32
        | ~ ssList(X1)
        | ~ ssItem(X0) )
    | ~ spl60_27
    | ~ spl60_93 ),
    inference(superposition,[],[f655,f1217]) ).

fof(f1217,plain,
    ( cons(sK3(sK41),nil) = sK41
    | ~ spl60_93 ),
    inference(avatar_component_clause,[],[f1215]) ).

fof(f1261,plain,
    ( ~ spl60_7
    | spl60_94
    | ~ spl60_57
    | ~ spl60_20
    | ~ spl60_27
    | ~ spl60_93 ),
    inference(avatar_split_clause,[],[f1257,f1215,f654,f605,f973,f1259,f542]) ).

fof(f542,plain,
    ( spl60_7
  <=> ssList(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl60_7])]) ).

fof(f1259,plain,
    ( spl60_94
  <=> ! [X10] :
        ( sK32 != app(sK41,cons(X10,nil))
        | ~ ssItem(X10)
        | sK31 = cons(X10,sK41) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl60_94])]) ).

fof(f1257,plain,
    ( ! [X10] :
        ( ~ ssItem(sK3(sK41))
        | sK32 != app(sK41,cons(X10,nil))
        | ~ ssList(nil)
        | sK31 = cons(X10,sK41)
        | ~ ssItem(X10) )
    | ~ spl60_20
    | ~ spl60_27
    | ~ spl60_93 ),
    inference(forward_subsumption_demodulation,[],[f1251,f907]) ).

fof(f1251,plain,
    ( ! [X10] :
        ( app(cons(X10,nil),sK41) = sK31
        | sK32 != app(sK41,cons(X10,nil))
        | ~ ssList(nil)
        | ~ ssItem(sK3(sK41))
        | ~ ssItem(X10) )
    | ~ spl60_27
    | ~ spl60_93 ),
    inference(superposition,[],[f655,f1217]) ).

fof(f1255,plain,
    ( ~ spl60_7
    | ~ spl60_57
    | spl60_61
    | ~ spl60_93 ),
    inference(avatar_split_clause,[],[f1249,f1215,f990,f973,f542]) ).

fof(f990,plain,
    ( spl60_61
  <=> ! [X4,X5] :
        ( sK3(sK41) = X4
        | ~ ssItem(X4)
        | sK41 != cons(X4,X5)
        | ~ ssList(X5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl60_61])]) ).

fof(f1249,plain,
    ( ! [X6,X7] :
        ( ~ ssList(X7)
        | sK3(sK41) = X6
        | ~ ssItem(sK3(sK41))
        | ~ ssList(nil)
        | ~ ssItem(X6)
        | sK41 != cons(X6,X7) )
    | ~ spl60_93 ),
    inference(superposition,[],[f456,f1217]) ).

fof(f456,plain,
    ! [X2,X3,X0,X1] :
      ( cons(X2,X0) != cons(X3,X1)
      | X2 = X3
      | ~ ssList(X1)
      | ~ ssItem(X2)
      | ~ ssItem(X3)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f143]) ).

fof(f143,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ! [X1] :
          ( ~ ssList(X1)
          | ! [X2] :
              ( ! [X3] :
                  ( ( X2 = X3
                    & X0 = X1 )
                  | cons(X2,X0) != cons(X3,X1)
                  | ~ ssItem(X3) )
              | ~ ssItem(X2) ) ) ),
    inference(flattening,[],[f142]) ).

fof(f142,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( ( X2 = X3
                    & X0 = X1 )
                  | cons(X2,X0) != cons(X3,X1)
                  | ~ ssItem(X3) )
              | ~ ssItem(X2) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f19]) ).

fof(f19,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssItem(X2)
             => ! [X3] :
                  ( ssItem(X3)
                 => ( cons(X2,X0) = cons(X3,X1)
                   => ( X2 = X3
                      & X0 = X1 ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax19) ).

fof(f1254,plain,
    ( ~ spl60_57
    | spl60_61
    | ~ spl60_7
    | ~ spl60_93 ),
    inference(avatar_split_clause,[],[f1250,f1215,f542,f990,f973]) ).

fof(f1250,plain,
    ( ! [X8,X9] :
        ( ~ ssList(nil)
        | sK41 != cons(X8,X9)
        | ~ ssItem(X8)
        | ~ ssItem(sK3(sK41))
        | sK3(sK41) = X8
        | ~ ssList(X9) )
    | ~ spl60_93 ),
    inference(superposition,[],[f456,f1217]) ).

fof(f1253,plain,
    ( spl60_42
    | ~ spl60_20
    | spl60_57 ),
    inference(avatar_split_clause,[],[f1252,f973,f605,f804]) ).

fof(f804,plain,
    ( spl60_42
  <=> nil = sK41 ),
    introduced(avatar_definition,[new_symbols(naming,[spl60_42])]) ).

fof(f1252,plain,
    ( ~ ssList(sK41)
    | nil = sK41
    | spl60_57 ),
    inference(resolution,[],[f975,f237]) ).

fof(f237,plain,
    ! [X0] :
      ( ssItem(sK3(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f137]) ).

fof(f137,plain,
    ! [X0] :
      ( nil = X0
      | ~ ssList(X0)
      | ? [X1] :
          ( ? [X2] :
              ( cons(X2,X1) = X0
              & ssItem(X2) )
          & ssList(X1) ) ),
    inference(flattening,[],[f136]) ).

fof(f136,plain,
    ! [X0] :
      ( nil = X0
      | ? [X1] :
          ( ? [X2] :
              ( cons(X2,X1) = X0
              & ssItem(X2) )
          & ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f20]) ).

fof(f20,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( nil = X0
        | ? [X1] :
            ( ? [X2] :
                ( cons(X2,X1) = X0
                & ssItem(X2) )
            & ssList(X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax20) ).

fof(f975,plain,
    ( ~ ssItem(sK3(sK41))
    | spl60_57 ),
    inference(avatar_component_clause,[],[f973]) ).

fof(f1220,plain,
    ( ~ spl60_42
    | spl60_60
    | ~ spl60_81 ),
    inference(avatar_split_clause,[],[f1219,f1117,f985,f804]) ).

fof(f985,plain,
    ( spl60_60
  <=> sK41 = sK2(sK41) ),
    introduced(avatar_definition,[new_symbols(naming,[spl60_60])]) ).

fof(f1117,plain,
    ( spl60_81
  <=> nil = sK2(sK41) ),
    introduced(avatar_definition,[new_symbols(naming,[spl60_81])]) ).

fof(f1219,plain,
    ( nil != sK41
    | spl60_60
    | ~ spl60_81 ),
    inference(forward_demodulation,[],[f987,f1119]) ).

fof(f1119,plain,
    ( nil = sK2(sK41)
    | ~ spl60_81 ),
    inference(avatar_component_clause,[],[f1117]) ).

fof(f987,plain,
    ( sK41 != sK2(sK41)
    | spl60_60 ),
    inference(avatar_component_clause,[],[f985]) ).

fof(f1218,plain,
    ( spl60_93
    | ~ spl60_43
    | ~ spl60_81 ),
    inference(avatar_split_clause,[],[f1213,f1117,f808,f1215]) ).

fof(f808,plain,
    ( spl60_43
  <=> sK41 = cons(sK3(sK41),sK2(sK41)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl60_43])]) ).

fof(f1213,plain,
    ( cons(sK3(sK41),nil) = sK41
    | ~ spl60_43
    | ~ spl60_81 ),
    inference(forward_demodulation,[],[f810,f1119]) ).

fof(f810,plain,
    ( sK41 = cons(sK3(sK41),sK2(sK41))
    | ~ spl60_43 ),
    inference(avatar_component_clause,[],[f808]) ).

fof(f1212,plain,
    ( ~ spl60_53
    | spl60_44
    | ~ spl60_45 ),
    inference(avatar_split_clause,[],[f1211,f817,f813,f866]) ).

fof(f866,plain,
    ( spl60_53
  <=> nil = cons(sK3(nil),sK2(nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl60_53])]) ).

fof(f813,plain,
    ( spl60_44
  <=> cons(sK3(sK42),sK2(sK42)) = sK42 ),
    introduced(avatar_definition,[new_symbols(naming,[spl60_44])]) ).

fof(f817,plain,
    ( spl60_45
  <=> nil = sK42 ),
    introduced(avatar_definition,[new_symbols(naming,[spl60_45])]) ).

fof(f1211,plain,
    ( nil != cons(sK3(nil),sK2(nil))
    | spl60_44
    | ~ spl60_45 ),
    inference(forward_demodulation,[],[f814,f819]) ).

fof(f819,plain,
    ( nil = sK42
    | ~ spl60_45 ),
    inference(avatar_component_clause,[],[f817]) ).

fof(f814,plain,
    ( cons(sK3(sK42),sK2(sK42)) != sK42
    | spl60_44 ),
    inference(avatar_component_clause,[],[f813]) ).

fof(f1209,plain,
    ( ~ spl60_92
    | ~ spl60_42
    | spl60_82 ),
    inference(avatar_split_clause,[],[f1204,f1122,f804,f1206]) ).

fof(f1206,plain,
    ( spl60_92
  <=> app(sK2(nil),nil) = sK2(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl60_92])]) ).

fof(f1122,plain,
    ( spl60_82
  <=> app(sK2(sK41),nil) = sK2(sK41) ),
    introduced(avatar_definition,[new_symbols(naming,[spl60_82])]) ).

fof(f1204,plain,
    ( app(sK2(nil),nil) != sK2(nil)
    | ~ spl60_42
    | spl60_82 ),
    inference(forward_demodulation,[],[f1123,f806]) ).

fof(f806,plain,
    ( nil = sK41
    | ~ spl60_42 ),
    inference(avatar_component_clause,[],[f804]) ).

fof(f1123,plain,
    ( app(sK2(sK41),nil) != sK2(sK41)
    | spl60_82 ),
    inference(avatar_component_clause,[],[f1122]) ).

fof(f1203,plain,
    ( ~ spl60_90
    | ~ spl60_42
    | spl60_56 ),
    inference(avatar_split_clause,[],[f1202,f969,f804,f1190]) ).

fof(f1190,plain,
    ( spl60_90
  <=> ssList(sK2(nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl60_90])]) ).

fof(f969,plain,
    ( spl60_56
  <=> ssList(sK2(sK41)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl60_56])]) ).

fof(f1202,plain,
    ( ~ ssList(sK2(nil))
    | ~ spl60_42
    | spl60_56 ),
    inference(forward_demodulation,[],[f971,f806]) ).

fof(f971,plain,
    ( ~ ssList(sK2(sK41))
    | spl60_56 ),
    inference(avatar_component_clause,[],[f969]) ).

fof(f1201,plain,
    ( ~ spl60_91
    | ~ spl60_42
    | spl60_83 ),
    inference(avatar_split_clause,[],[f1196,f1127,f804,f1198]) ).

fof(f1198,plain,
    ( spl60_91
  <=> sK2(nil) = app(nil,sK2(nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl60_91])]) ).

fof(f1127,plain,
    ( spl60_83
  <=> sK2(sK41) = app(nil,sK2(sK41)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl60_83])]) ).

fof(f1196,plain,
    ( sK2(nil) != app(nil,sK2(nil))
    | ~ spl60_42
    | spl60_83 ),
    inference(forward_demodulation,[],[f1128,f806]) ).

fof(f1128,plain,
    ( sK2(sK41) != app(nil,sK2(sK41))
    | spl60_83 ),
    inference(avatar_component_clause,[],[f1127]) ).

fof(f1195,plain,
    ( ~ spl60_84
    | ~ spl60_42
    | spl60_81 ),
    inference(avatar_split_clause,[],[f1194,f1117,f804,f1149]) ).

fof(f1149,plain,
    ( spl60_84
  <=> nil = sK2(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl60_84])]) ).

fof(f1194,plain,
    ( nil != sK2(nil)
    | ~ spl60_42
    | spl60_81 ),
    inference(forward_demodulation,[],[f1118,f806]) ).

fof(f1118,plain,
    ( nil != sK2(sK41)
    | spl60_81 ),
    inference(avatar_component_clause,[],[f1117]) ).

fof(f1193,plain,
    ( ~ spl60_90
    | ~ spl60_86
    | ~ spl60_42
    | ~ spl60_43 ),
    inference(avatar_split_clause,[],[f1188,f808,f804,f1160,f1190]) ).

fof(f1160,plain,
    ( spl60_86
  <=> ssItem(sK3(nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl60_86])]) ).

fof(f1188,plain,
    ( ~ ssItem(sK3(nil))
    | ~ ssList(sK2(nil))
    | ~ spl60_42
    | ~ spl60_43 ),
    inference(forward_demodulation,[],[f1187,f806]) ).

fof(f1187,plain,
    ( ~ ssList(sK2(sK41))
    | ~ ssItem(sK3(nil))
    | ~ spl60_42
    | ~ spl60_43 ),
    inference(forward_demodulation,[],[f1186,f806]) ).

fof(f1186,plain,
    ( ~ ssItem(sK3(sK41))
    | ~ ssList(sK2(sK41))
    | ~ spl60_42
    | ~ spl60_43 ),
    inference(trivial_inequality_removal,[],[f1185]) ).

fof(f1185,plain,
    ( ~ ssItem(sK3(sK41))
    | nil != nil
    | ~ ssList(sK2(sK41))
    | ~ spl60_42
    | ~ spl60_43 ),
    inference(forward_demodulation,[],[f962,f806]) ).

fof(f962,plain,
    ( ~ ssList(sK2(sK41))
    | ~ ssItem(sK3(sK41))
    | nil != sK41
    | ~ spl60_43 ),
    inference(superposition,[],[f281,f810]) ).

fof(f281,plain,
    ! [X0,X1] :
      ( nil != cons(X1,X0)
      | ~ ssList(X0)
      | ~ ssItem(X1) ),
    inference(cnf_transformation,[],[f127]) ).

fof(f127,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ ssItem(X1)
          | nil != cons(X1,X0) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f21]) ).

fof(f21,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssItem(X1)
         => nil != cons(X1,X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax21) ).

fof(f1184,plain,
    ( spl60_53
    | ~ spl60_44
    | ~ spl60_45 ),
    inference(avatar_split_clause,[],[f1183,f817,f813,f866]) ).

fof(f1183,plain,
    ( nil = cons(sK3(nil),sK2(nil))
    | ~ spl60_44
    | ~ spl60_45 ),
    inference(forward_demodulation,[],[f815,f819]) ).

fof(f815,plain,
    ( cons(sK3(sK42),sK2(sK42)) = sK42
    | ~ spl60_44 ),
    inference(avatar_component_clause,[],[f813]) ).

fof(f1182,plain,
    ( ~ spl60_89
    | ~ spl60_42
    | spl60_80 ),
    inference(avatar_split_clause,[],[f1145,f1113,f804,f1179]) ).

fof(f1179,plain,
    ( spl60_89
  <=> sK2(nil) = cons(sK3(sK2(nil)),sK2(sK2(nil))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl60_89])]) ).

fof(f1113,plain,
    ( spl60_80
  <=> cons(sK3(sK2(sK41)),sK2(sK2(sK41))) = sK2(sK41) ),
    introduced(avatar_definition,[new_symbols(naming,[spl60_80])]) ).

fof(f1145,plain,
    ( sK2(nil) != cons(sK3(sK2(nil)),sK2(sK2(nil)))
    | ~ spl60_42
    | spl60_80 ),
    inference(backward_demodulation,[],[f1114,f806]) ).

fof(f1114,plain,
    ( cons(sK3(sK2(sK41)),sK2(sK2(sK41))) != sK2(sK41)
    | spl60_80 ),
    inference(avatar_component_clause,[],[f1113]) ).

fof(f1176,plain,
    ( ~ spl60_88
    | ~ spl60_42
    | spl60_51 ),
    inference(avatar_split_clause,[],[f1137,f852,f804,f1173]) ).

fof(f1173,plain,
    ( spl60_88
  <=> nil = app(app(cons(sK35,nil),nil),cons(sK38,nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl60_88])]) ).

fof(f1137,plain,
    ( nil != app(app(cons(sK35,nil),nil),cons(sK38,nil))
    | ~ spl60_42
    | spl60_51 ),
    inference(backward_demodulation,[],[f853,f806]) ).

fof(f1171,plain,
    ( spl60_53
    | ~ spl60_42
    | ~ spl60_43 ),
    inference(avatar_split_clause,[],[f1136,f808,f804,f866]) ).

fof(f1136,plain,
    ( nil = cons(sK3(nil),sK2(nil))
    | ~ spl60_42
    | ~ spl60_43 ),
    inference(backward_demodulation,[],[f810,f806]) ).

fof(f1168,plain,
    ( ~ spl60_87
    | spl60_26
    | ~ spl60_42 ),
    inference(avatar_split_clause,[],[f1133,f804,f646,f1165]) ).

fof(f1165,plain,
    ( spl60_87
  <=> sK31 = app(app(cons(sK38,nil),nil),cons(sK35,nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl60_87])]) ).

fof(f1133,plain,
    ( sK31 != app(app(cons(sK38,nil),nil),cons(sK35,nil))
    | spl60_26
    | ~ spl60_42 ),
    inference(backward_demodulation,[],[f648,f806]) ).

fof(f1163,plain,
    ( ~ spl60_86
    | ~ spl60_42
    | spl60_57 ),
    inference(avatar_split_clause,[],[f1143,f973,f804,f1160]) ).

fof(f1143,plain,
    ( ~ ssItem(sK3(nil))
    | ~ spl60_42
    | spl60_57 ),
    inference(backward_demodulation,[],[f975,f806]) ).

fof(f1157,plain,
    ( spl60_85
    | ~ spl60_19
    | ~ spl60_42 ),
    inference(avatar_split_clause,[],[f1131,f804,f600,f1154]) ).

fof(f1154,plain,
    ( spl60_85
  <=> app(app(cons(sK35,nil),nil),cons(sK38,nil)) = sK32 ),
    introduced(avatar_definition,[new_symbols(naming,[spl60_85])]) ).

fof(f1131,plain,
    ( app(app(cons(sK35,nil),nil),cons(sK38,nil)) = sK32
    | ~ spl60_19
    | ~ spl60_42 ),
    inference(backward_demodulation,[],[f602,f806]) ).

fof(f1152,plain,
    ( ~ spl60_84
    | ~ spl60_42
    | spl60_60 ),
    inference(avatar_split_clause,[],[f1144,f985,f804,f1149]) ).

fof(f1144,plain,
    ( nil != sK2(nil)
    | ~ spl60_42
    | spl60_60 ),
    inference(backward_demodulation,[],[f987,f806]) ).

fof(f1130,plain,
    ( spl60_83
    | ~ spl60_56 ),
    inference(avatar_split_clause,[],[f1107,f969,f1127]) ).

fof(f1107,plain,
    ( sK2(sK41) = app(nil,sK2(sK41))
    | ~ spl60_56 ),
    inference(resolution,[],[f970,f322]) ).

fof(f322,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | app(nil,X0) = X0 ),
    inference(cnf_transformation,[],[f100]) ).

fof(f100,plain,
    ! [X0] :
      ( app(nil,X0) = X0
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f28]) ).

fof(f28,axiom,
    ! [X0] :
      ( ssList(X0)
     => app(nil,X0) = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax28) ).

fof(f970,plain,
    ( ssList(sK2(sK41))
    | ~ spl60_56 ),
    inference(avatar_component_clause,[],[f969]) ).

fof(f1125,plain,
    ( spl60_82
    | ~ spl60_56 ),
    inference(avatar_split_clause,[],[f1108,f969,f1122]) ).

fof(f1108,plain,
    ( app(sK2(sK41),nil) = sK2(sK41)
    | ~ spl60_56 ),
    inference(resolution,[],[f970,f323]) ).

fof(f323,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | app(X0,nil) = X0 ),
    inference(cnf_transformation,[],[f221]) ).

fof(f221,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | app(X0,nil) = X0 ),
    inference(ennf_transformation,[],[f84]) ).

fof(f84,axiom,
    ! [X0] :
      ( ssList(X0)
     => app(X0,nil) = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax84) ).

fof(f1120,plain,
    ( spl60_80
    | spl60_81
    | ~ spl60_56 ),
    inference(avatar_split_clause,[],[f1106,f969,f1117,f1113]) ).

fof(f1106,plain,
    ( nil = sK2(sK41)
    | cons(sK3(sK2(sK41)),sK2(sK2(sK41))) = sK2(sK41)
    | ~ spl60_56 ),
    inference(resolution,[],[f970,f238]) ).

fof(f238,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | nil = X0
      | cons(sK3(X0),sK2(X0)) = X0 ),
    inference(cnf_transformation,[],[f137]) ).

fof(f1103,plain,
    ( spl60_42
    | ~ spl60_20
    | spl60_56 ),
    inference(avatar_split_clause,[],[f1102,f969,f605,f804]) ).

fof(f1102,plain,
    ( ~ ssList(sK41)
    | nil = sK41
    | spl60_56 ),
    inference(resolution,[],[f971,f239]) ).

fof(f239,plain,
    ! [X0] :
      ( ssList(sK2(X0))
      | ~ ssList(X0)
      | nil = X0 ),
    inference(cnf_transformation,[],[f137]) ).

fof(f1101,plain,
    ( spl60_79
    | ~ spl60_12
    | ~ spl60_13 ),
    inference(avatar_split_clause,[],[f1068,f571,f565,f1098]) ).

fof(f1098,plain,
    ( spl60_79
  <=> cons(sK38,sK31) = app(cons(sK38,nil),sK31) ),
    introduced(avatar_definition,[new_symbols(naming,[spl60_79])]) ).

fof(f571,plain,
    ( spl60_13
  <=> ssList(sK31) ),
    introduced(avatar_definition,[new_symbols(naming,[spl60_13])]) ).

fof(f1068,plain,
    ( cons(sK38,sK31) = app(cons(sK38,nil),sK31)
    | ~ spl60_12
    | ~ spl60_13 ),
    inference(resolution,[],[f905,f567]) ).

fof(f905,plain,
    ( ! [X9] :
        ( ~ ssItem(X9)
        | app(cons(X9,nil),sK31) = cons(X9,sK31) )
    | ~ spl60_13 ),
    inference(resolution,[],[f338,f573]) ).

fof(f573,plain,
    ( ssList(sK31)
    | ~ spl60_13 ),
    inference(avatar_component_clause,[],[f571]) ).

fof(f1096,plain,
    ( spl60_78
    | ~ spl60_13
    | ~ spl60_25 ),
    inference(avatar_split_clause,[],[f1070,f637,f571,f1093]) ).

fof(f1093,plain,
    ( spl60_78
  <=> app(cons(sK57,nil),sK31) = cons(sK57,sK31) ),
    introduced(avatar_definition,[new_symbols(naming,[spl60_78])]) ).

fof(f1070,plain,
    ( app(cons(sK57,nil),sK31) = cons(sK57,sK31)
    | ~ spl60_13
    | ~ spl60_25 ),
    inference(resolution,[],[f905,f639]) ).

fof(f1091,plain,
    ( spl60_77
    | ~ spl60_13
    | ~ spl60_32 ),
    inference(avatar_split_clause,[],[f1071,f713,f571,f1088]) ).

fof(f1088,plain,
    ( spl60_77
  <=> app(cons(sK58,nil),sK31) = cons(sK58,sK31) ),
    introduced(avatar_definition,[new_symbols(naming,[spl60_77])]) ).

fof(f1071,plain,
    ( app(cons(sK58,nil),sK31) = cons(sK58,sK31)
    | ~ spl60_13
    | ~ spl60_32 ),
    inference(resolution,[],[f905,f715]) ).

fof(f1086,plain,
    ( spl60_76
    | ~ spl60_13
    | ~ spl60_22 ),
    inference(avatar_split_clause,[],[f1069,f618,f571,f1083]) ).

fof(f1083,plain,
    ( spl60_76
  <=> cons(sK39,sK31) = app(cons(sK39,nil),sK31) ),
    introduced(avatar_definition,[new_symbols(naming,[spl60_76])]) ).

fof(f1069,plain,
    ( cons(sK39,sK31) = app(cons(sK39,nil),sK31)
    | ~ spl60_13
    | ~ spl60_22 ),
    inference(resolution,[],[f905,f620]) ).

fof(f1081,plain,
    ( spl60_75
    | ~ spl60_13
    | ~ spl60_17 ),
    inference(avatar_split_clause,[],[f1067,f590,f571,f1078]) ).

fof(f1078,plain,
    ( spl60_75
  <=> app(cons(sK36,nil),sK31) = cons(sK36,sK31) ),
    introduced(avatar_definition,[new_symbols(naming,[spl60_75])]) ).

fof(f1067,plain,
    ( app(cons(sK36,nil),sK31) = cons(sK36,sK31)
    | ~ spl60_13
    | ~ spl60_17 ),
    inference(resolution,[],[f905,f592]) ).

fof(f1076,plain,
    ( spl60_74
    | ~ spl60_2
    | ~ spl60_13 ),
    inference(avatar_split_clause,[],[f1066,f571,f519,f1073]) ).

fof(f1073,plain,
    ( spl60_74
  <=> cons(sK35,sK31) = app(cons(sK35,nil),sK31) ),
    introduced(avatar_definition,[new_symbols(naming,[spl60_74])]) ).

fof(f1066,plain,
    ( cons(sK35,sK31) = app(cons(sK35,nil),sK31)
    | ~ spl60_2
    | ~ spl60_13 ),
    inference(resolution,[],[f905,f521]) ).

fof(f1064,plain,
    ( ~ spl60_68
    | ~ spl60_69
    | spl60_73
    | ~ spl60_48 ),
    inference(avatar_split_clause,[],[f1034,f831,f1061,f1043,f1039]) ).

fof(f1039,plain,
    ( spl60_68
  <=> ssList(sK2(sK31)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl60_68])]) ).

fof(f1043,plain,
    ( spl60_69
  <=> ssItem(sK3(sK31)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl60_69])]) ).

fof(f1061,plain,
    ( spl60_73
  <=> ! [X0,X1] :
        ( cons(X0,X1) != sK31
        | ~ ssList(X1)
        | ~ ssItem(X0)
        | sK2(sK31) = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl60_73])]) ).

fof(f831,plain,
    ( spl60_48
  <=> sK31 = cons(sK3(sK31),sK2(sK31)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl60_48])]) ).

fof(f1034,plain,
    ( ! [X2,X3] :
        ( sK2(sK31) = X3
        | ~ ssList(X3)
        | ~ ssItem(X2)
        | sK31 != cons(X2,X3)
        | ~ ssItem(sK3(sK31))
        | ~ ssList(sK2(sK31)) )
    | ~ spl60_48 ),
    inference(superposition,[],[f455,f833]) ).

fof(f833,plain,
    ( sK31 = cons(sK3(sK31),sK2(sK31))
    | ~ spl60_48 ),
    inference(avatar_component_clause,[],[f831]) ).

fof(f455,plain,
    ! [X2,X3,X0,X1] :
      ( cons(X2,X0) != cons(X3,X1)
      | ~ ssItem(X2)
      | ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssItem(X3)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f143]) ).

fof(f1063,plain,
    ( ~ spl60_69
    | ~ spl60_68
    | spl60_73
    | ~ spl60_48 ),
    inference(avatar_split_clause,[],[f1033,f831,f1061,f1039,f1043]) ).

fof(f1033,plain,
    ( ! [X0,X1] :
        ( cons(X0,X1) != sK31
        | ~ ssList(sK2(sK31))
        | sK2(sK31) = X1
        | ~ ssItem(X0)
        | ~ ssItem(sK3(sK31))
        | ~ ssList(X1) )
    | ~ spl60_48 ),
    inference(superposition,[],[f455,f833]) ).

fof(f1059,plain,
    ( ~ spl60_72
    | ~ spl60_68
    | ~ spl60_69
    | ~ spl60_48 ),
    inference(avatar_split_clause,[],[f1030,f831,f1043,f1039,f1056]) ).

fof(f1056,plain,
    ( spl60_72
  <=> sK31 = sK2(sK31) ),
    introduced(avatar_definition,[new_symbols(naming,[spl60_72])]) ).

fof(f1030,plain,
    ( ~ ssItem(sK3(sK31))
    | ~ ssList(sK2(sK31))
    | sK31 != sK2(sK31)
    | ~ spl60_48 ),
    inference(superposition,[],[f233,f833]) ).

fof(f233,plain,
    ! [X0,X1] :
      ( cons(X1,X0) != X0
      | ~ ssList(X0)
      | ~ ssItem(X1) ),
    inference(cnf_transformation,[],[f198]) ).

fof(f198,plain,
    ! [X0] :
      ( ! [X1] :
          ( cons(X1,X0) != X0
          | ~ ssItem(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f18]) ).

fof(f18,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssItem(X1)
         => cons(X1,X0) != X0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax18) ).

fof(f1054,plain,
    ( ~ spl60_68
    | ~ spl60_69
    | spl60_71
    | ~ spl60_48 ),
    inference(avatar_split_clause,[],[f1036,f831,f1051,f1043,f1039]) ).

fof(f1051,plain,
    ( spl60_71
  <=> ! [X4,X5] :
        ( ~ ssItem(X4)
        | sK31 != cons(X4,X5)
        | ~ ssList(X5)
        | sK3(sK31) = X4 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl60_71])]) ).

fof(f1036,plain,
    ( ! [X6,X7] :
        ( ~ ssItem(X6)
        | sK31 != cons(X6,X7)
        | ~ ssItem(sK3(sK31))
        | sK3(sK31) = X6
        | ~ ssList(sK2(sK31))
        | ~ ssList(X7) )
    | ~ spl60_48 ),
    inference(superposition,[],[f456,f833]) ).

fof(f1053,plain,
    ( ~ spl60_68
    | ~ spl60_69
    | spl60_71
    | ~ spl60_48 ),
    inference(avatar_split_clause,[],[f1035,f831,f1051,f1043,f1039]) ).

fof(f1035,plain,
    ( ! [X4,X5] :
        ( ~ ssItem(X4)
        | sK3(sK31) = X4
        | ~ ssItem(sK3(sK31))
        | ~ ssList(sK2(sK31))
        | ~ ssList(X5)
        | sK31 != cons(X4,X5) )
    | ~ spl60_48 ),
    inference(superposition,[],[f456,f833]) ).

fof(f1049,plain,
    ( ~ spl60_68
    | ~ spl60_69
    | spl60_70
    | ~ spl60_27
    | ~ spl60_48 ),
    inference(avatar_split_clause,[],[f1037,f831,f654,f1047,f1043,f1039]) ).

fof(f1047,plain,
    ( spl60_70
  <=> ! [X8] :
        ( ~ ssItem(X8)
        | app(sK31,cons(X8,nil)) != sK32
        | sK31 = app(cons(X8,sK2(sK31)),cons(sK3(sK31),nil)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl60_70])]) ).

fof(f1037,plain,
    ( ! [X8] :
        ( ~ ssItem(X8)
        | sK31 = app(cons(X8,sK2(sK31)),cons(sK3(sK31),nil))
        | ~ ssItem(sK3(sK31))
        | ~ ssList(sK2(sK31))
        | app(sK31,cons(X8,nil)) != sK32 )
    | ~ spl60_27
    | ~ spl60_48 ),
    inference(superposition,[],[f655,f833]) ).

fof(f1029,plain,
    ( ~ spl60_62
    | ~ spl60_64
    | spl60_67
    | ~ spl60_46 ),
    inference(avatar_split_clause,[],[f998,f822,f1026,f1011,f1004]) ).

fof(f1004,plain,
    ( spl60_62
  <=> ssList(sK2(sK32)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl60_62])]) ).

fof(f1011,plain,
    ( spl60_64
  <=> ssItem(sK3(sK32)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl60_64])]) ).

fof(f1026,plain,
    ( spl60_67
  <=> ! [X2,X3] :
        ( ~ ssItem(X2)
        | cons(X2,X3) != sK32
        | sK2(sK32) = X3
        | ~ ssList(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl60_67])]) ).

fof(f822,plain,
    ( spl60_46
  <=> cons(sK3(sK32),sK2(sK32)) = sK32 ),
    introduced(avatar_definition,[new_symbols(naming,[spl60_46])]) ).

fof(f998,plain,
    ( ! [X0,X1] :
        ( sK2(sK32) = X1
        | cons(X0,X1) != sK32
        | ~ ssItem(sK3(sK32))
        | ~ ssItem(X0)
        | ~ ssList(sK2(sK32))
        | ~ ssList(X1) )
    | ~ spl60_46 ),
    inference(superposition,[],[f455,f824]) ).

fof(f824,plain,
    ( cons(sK3(sK32),sK2(sK32)) = sK32
    | ~ spl60_46 ),
    inference(avatar_component_clause,[],[f822]) ).

fof(f1028,plain,
    ( ~ spl60_62
    | ~ spl60_64
    | spl60_67
    | ~ spl60_46 ),
    inference(avatar_split_clause,[],[f999,f822,f1026,f1011,f1004]) ).

fof(f999,plain,
    ( ! [X2,X3] :
        ( ~ ssItem(X2)
        | sK2(sK32) = X3
        | ~ ssItem(sK3(sK32))
        | ~ ssList(X3)
        | ~ ssList(sK2(sK32))
        | cons(X2,X3) != sK32 )
    | ~ spl60_46 ),
    inference(superposition,[],[f455,f824]) ).

fof(f1024,plain,
    ( ~ spl60_62
    | ~ spl60_64
    | spl60_66
    | ~ spl60_27
    | ~ spl60_46 ),
    inference(avatar_split_clause,[],[f1002,f822,f654,f1022,f1011,f1004]) ).

fof(f1022,plain,
    ( spl60_66
  <=> ! [X8] :
        ( app(sK32,cons(X8,nil)) != sK32
        | ~ ssItem(X8)
        | app(cons(X8,sK2(sK32)),cons(sK3(sK32),nil)) = sK31 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl60_66])]) ).

fof(f1002,plain,
    ( ! [X8] :
        ( app(sK32,cons(X8,nil)) != sK32
        | ~ ssItem(sK3(sK32))
        | app(cons(X8,sK2(sK32)),cons(sK3(sK32),nil)) = sK31
        | ~ ssItem(X8)
        | ~ ssList(sK2(sK32)) )
    | ~ spl60_27
    | ~ spl60_46 ),
    inference(superposition,[],[f655,f824]) ).

fof(f1020,plain,
    ( ~ spl60_64
    | spl60_63
    | ~ spl60_62
    | ~ spl60_46 ),
    inference(avatar_split_clause,[],[f1000,f822,f1004,f1008,f1011]) ).

fof(f1008,plain,
    ( spl60_63
  <=> ! [X6,X7] :
        ( sK3(sK32) = X6
        | ~ ssList(X7)
        | cons(X6,X7) != sK32
        | ~ ssItem(X6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl60_63])]) ).

fof(f1000,plain,
    ( ! [X4,X5] :
        ( ~ ssList(sK2(sK32))
        | ~ ssList(X5)
        | sK3(sK32) = X4
        | ~ ssItem(sK3(sK32))
        | cons(X4,X5) != sK32
        | ~ ssItem(X4) )
    | ~ spl60_46 ),
    inference(superposition,[],[f456,f824]) ).

fof(f1019,plain,
    ( ~ spl60_64
    | ~ spl60_62
    | ~ spl60_65
    | ~ spl60_46 ),
    inference(avatar_split_clause,[],[f995,f822,f1016,f1004,f1011]) ).

fof(f1016,plain,
    ( spl60_65
  <=> sK2(sK32) = sK32 ),
    introduced(avatar_definition,[new_symbols(naming,[spl60_65])]) ).

fof(f995,plain,
    ( sK2(sK32) != sK32
    | ~ ssList(sK2(sK32))
    | ~ ssItem(sK3(sK32))
    | ~ spl60_46 ),
    inference(superposition,[],[f233,f824]) ).

fof(f1014,plain,
    ( ~ spl60_62
    | spl60_63
    | ~ spl60_64
    | ~ spl60_46 ),
    inference(avatar_split_clause,[],[f1001,f822,f1011,f1008,f1004]) ).

fof(f1001,plain,
    ( ! [X6,X7] :
        ( ~ ssItem(sK3(sK32))
        | sK3(sK32) = X6
        | ~ ssItem(X6)
        | cons(X6,X7) != sK32
        | ~ ssList(X7)
        | ~ ssList(sK2(sK32)) )
    | ~ spl60_46 ),
    inference(superposition,[],[f456,f824]) ).

fof(f994,plain,
    ( ~ spl60_56
    | spl60_61
    | ~ spl60_57
    | ~ spl60_43 ),
    inference(avatar_split_clause,[],[f966,f808,f973,f990,f969]) ).

fof(f966,plain,
    ( ! [X6,X7] :
        ( ~ ssItem(sK3(sK41))
        | sK41 != cons(X6,X7)
        | ~ ssItem(X6)
        | sK3(sK41) = X6
        | ~ ssList(sK2(sK41))
        | ~ ssList(X7) )
    | ~ spl60_43 ),
    inference(superposition,[],[f456,f810]) ).

fof(f993,plain,
    ( ~ spl60_56
    | spl60_58
    | ~ spl60_57
    | ~ spl60_43 ),
    inference(avatar_split_clause,[],[f964,f808,f973,f977,f969]) ).

fof(f977,plain,
    ( spl60_58
  <=> ! [X0,X1] :
        ( ~ ssList(X1)
        | ~ ssItem(X0)
        | cons(X0,X1) != sK41
        | sK2(sK41) = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl60_58])]) ).

fof(f964,plain,
    ( ! [X2,X3] :
        ( ~ ssItem(sK3(sK41))
        | sK2(sK41) = X3
        | ~ ssList(X3)
        | ~ ssList(sK2(sK41))
        | ~ ssItem(X2)
        | sK41 != cons(X2,X3) )
    | ~ spl60_43 ),
    inference(superposition,[],[f455,f810]) ).

fof(f992,plain,
    ( ~ spl60_57
    | spl60_61
    | ~ spl60_56
    | ~ spl60_43 ),
    inference(avatar_split_clause,[],[f965,f808,f969,f990,f973]) ).

fof(f965,plain,
    ( ! [X4,X5] :
        ( ~ ssList(sK2(sK41))
        | sK3(sK41) = X4
        | ~ ssList(X5)
        | sK41 != cons(X4,X5)
        | ~ ssItem(sK3(sK41))
        | ~ ssItem(X4) )
    | ~ spl60_43 ),
    inference(superposition,[],[f456,f810]) ).

fof(f988,plain,
    ( ~ spl60_60
    | ~ spl60_57
    | ~ spl60_56
    | ~ spl60_43 ),
    inference(avatar_split_clause,[],[f960,f808,f969,f973,f985]) ).

fof(f960,plain,
    ( ~ ssList(sK2(sK41))
    | ~ ssItem(sK3(sK41))
    | sK41 != sK2(sK41)
    | ~ spl60_43 ),
    inference(superposition,[],[f233,f810]) ).

fof(f983,plain,
    ( ~ spl60_57
    | ~ spl60_56
    | spl60_59
    | ~ spl60_27
    | ~ spl60_43 ),
    inference(avatar_split_clause,[],[f967,f808,f654,f981,f969,f973]) ).

fof(f981,plain,
    ( spl60_59
  <=> ! [X8] :
        ( ~ ssItem(X8)
        | app(cons(X8,sK2(sK41)),cons(sK3(sK41),nil)) = sK31
        | sK32 != app(sK41,cons(X8,nil)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl60_59])]) ).

fof(f967,plain,
    ( ! [X8] :
        ( ~ ssItem(X8)
        | sK32 != app(sK41,cons(X8,nil))
        | ~ ssList(sK2(sK41))
        | app(cons(X8,sK2(sK41)),cons(sK3(sK41),nil)) = sK31
        | ~ ssItem(sK3(sK41)) )
    | ~ spl60_27
    | ~ spl60_43 ),
    inference(superposition,[],[f655,f810]) ).

fof(f979,plain,
    ( ~ spl60_56
    | ~ spl60_57
    | spl60_58
    | ~ spl60_43 ),
    inference(avatar_split_clause,[],[f963,f808,f977,f973,f969]) ).

fof(f963,plain,
    ( ! [X0,X1] :
        ( ~ ssList(X1)
        | ~ ssItem(sK3(sK41))
        | sK2(sK41) = X1
        | ~ ssList(sK2(sK41))
        | cons(X0,X1) != sK41
        | ~ ssItem(X0) )
    | ~ spl60_43 ),
    inference(superposition,[],[f455,f810]) ).

fof(f883,plain,
    ( ~ spl60_55
    | ~ spl60_45
    | spl60_50 ),
    inference(avatar_split_clause,[],[f878,f847,f817,f880]) ).

fof(f880,plain,
    ( spl60_55
  <=> nil = app(app(cons(sK36,nil),cons(sK39,nil)),nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl60_55])]) ).

fof(f847,plain,
    ( spl60_50
  <=> nil = app(app(cons(sK36,nil),cons(sK39,nil)),sK42) ),
    introduced(avatar_definition,[new_symbols(naming,[spl60_50])]) ).

fof(f878,plain,
    ( nil != app(app(cons(sK36,nil),cons(sK39,nil)),nil)
    | ~ spl60_45
    | spl60_50 ),
    inference(forward_demodulation,[],[f848,f819]) ).

fof(f848,plain,
    ( nil != app(app(cons(sK36,nil),cons(sK39,nil)),sK42)
    | spl60_50 ),
    inference(avatar_component_clause,[],[f847]) ).

fof(f877,plain,
    ( spl60_54
    | ~ spl60_3
    | ~ spl60_45 ),
    inference(avatar_split_clause,[],[f872,f817,f524,f874]) ).

fof(f874,plain,
    ( spl60_54
  <=> app(app(cons(sK36,nil),cons(sK39,nil)),nil) = sK32 ),
    introduced(avatar_definition,[new_symbols(naming,[spl60_54])]) ).

fof(f524,plain,
    ( spl60_3
  <=> sK32 = app(app(cons(sK36,nil),cons(sK39,nil)),sK42) ),
    introduced(avatar_definition,[new_symbols(naming,[spl60_3])]) ).

fof(f872,plain,
    ( app(app(cons(sK36,nil),cons(sK39,nil)),nil) = sK32
    | ~ spl60_3
    | ~ spl60_45 ),
    inference(forward_demodulation,[],[f526,f819]) ).

fof(f526,plain,
    ( sK32 = app(app(cons(sK36,nil),cons(sK39,nil)),sK42)
    | ~ spl60_3 ),
    inference(avatar_component_clause,[],[f524]) ).

fof(f871,plain,
    ( ~ spl60_53
    | spl60_46
    | ~ spl60_47 ),
    inference(avatar_split_clause,[],[f870,f826,f822,f866]) ).

fof(f826,plain,
    ( spl60_47
  <=> nil = sK32 ),
    introduced(avatar_definition,[new_symbols(naming,[spl60_47])]) ).

fof(f870,plain,
    ( nil != cons(sK3(nil),sK2(nil))
    | spl60_46
    | ~ spl60_47 ),
    inference(forward_demodulation,[],[f823,f828]) ).

fof(f828,plain,
    ( nil = sK32
    | ~ spl60_47 ),
    inference(avatar_component_clause,[],[f826]) ).

fof(f823,plain,
    ( cons(sK3(sK32),sK2(sK32)) != sK32
    | spl60_46 ),
    inference(avatar_component_clause,[],[f822]) ).

fof(f869,plain,
    ( ~ spl60_53
    | spl60_44
    | ~ spl60_45 ),
    inference(avatar_split_clause,[],[f861,f817,f813,f866]) ).

fof(f861,plain,
    ( nil != cons(sK3(nil),sK2(nil))
    | spl60_44
    | ~ spl60_45 ),
    inference(backward_demodulation,[],[f814,f819]) ).

fof(f860,plain,
    ( ~ spl60_52
    | spl60_4
    | ~ spl60_47 ),
    inference(avatar_split_clause,[],[f840,f826,f528,f857]) ).

fof(f857,plain,
    ( spl60_52
  <=> nil = app(app(cons(sK37,nil),cons(sK40,nil)),sK43) ),
    introduced(avatar_definition,[new_symbols(naming,[spl60_52])]) ).

fof(f528,plain,
    ( spl60_4
  <=> app(app(cons(sK37,nil),cons(sK40,nil)),sK43) = sK32 ),
    introduced(avatar_definition,[new_symbols(naming,[spl60_4])]) ).

fof(f840,plain,
    ( nil != app(app(cons(sK37,nil),cons(sK40,nil)),sK43)
    | spl60_4
    | ~ spl60_47 ),
    inference(backward_demodulation,[],[f529,f828]) ).

fof(f529,plain,
    ( app(app(cons(sK37,nil),cons(sK40,nil)),sK43) != sK32
    | spl60_4 ),
    inference(avatar_component_clause,[],[f528]) ).

fof(f855,plain,
    ( spl60_51
    | ~ spl60_19
    | ~ spl60_47 ),
    inference(avatar_split_clause,[],[f842,f826,f600,f852]) ).

fof(f842,plain,
    ( nil = app(app(cons(sK35,nil),sK41),cons(sK38,nil))
    | ~ spl60_19
    | ~ spl60_47 ),
    inference(backward_demodulation,[],[f602,f828]) ).

fof(f850,plain,
    ( spl60_50
    | ~ spl60_3
    | ~ spl60_47 ),
    inference(avatar_split_clause,[],[f839,f826,f524,f847]) ).

fof(f839,plain,
    ( nil = app(app(cons(sK36,nil),cons(sK39,nil)),sK42)
    | ~ spl60_3
    | ~ spl60_47 ),
    inference(backward_demodulation,[],[f526,f828]) ).

fof(f838,plain,
    ( spl60_48
    | spl60_49
    | ~ spl60_13 ),
    inference(avatar_split_clause,[],[f799,f571,f835,f831]) ).

fof(f835,plain,
    ( spl60_49
  <=> nil = sK31 ),
    introduced(avatar_definition,[new_symbols(naming,[spl60_49])]) ).

fof(f799,plain,
    ( nil = sK31
    | sK31 = cons(sK3(sK31),sK2(sK31))
    | ~ spl60_13 ),
    inference(resolution,[],[f238,f573]) ).

fof(f829,plain,
    ( spl60_46
    | spl60_47
    | ~ spl60_5 ),
    inference(avatar_split_clause,[],[f800,f533,f826,f822]) ).

fof(f800,plain,
    ( nil = sK32
    | cons(sK3(sK32),sK2(sK32)) = sK32
    | ~ spl60_5 ),
    inference(resolution,[],[f238,f535]) ).

fof(f820,plain,
    ( spl60_44
    | spl60_45
    | ~ spl60_15 ),
    inference(avatar_split_clause,[],[f802,f581,f817,f813]) ).

fof(f581,plain,
    ( spl60_15
  <=> ssList(sK42) ),
    introduced(avatar_definition,[new_symbols(naming,[spl60_15])]) ).

fof(f802,plain,
    ( nil = sK42
    | cons(sK3(sK42),sK2(sK42)) = sK42
    | ~ spl60_15 ),
    inference(resolution,[],[f238,f583]) ).

fof(f583,plain,
    ( ssList(sK42)
    | ~ spl60_15 ),
    inference(avatar_component_clause,[],[f581]) ).

fof(f811,plain,
    ( spl60_42
    | spl60_43
    | ~ spl60_20 ),
    inference(avatar_split_clause,[],[f801,f605,f808,f804]) ).

fof(f801,plain,
    ( sK41 = cons(sK3(sK41),sK2(sK41))
    | nil = sK41
    | ~ spl60_20 ),
    inference(resolution,[],[f238,f607]) ).

fof(f781,plain,
    ( spl60_41
    | ~ spl60_5 ),
    inference(avatar_split_clause,[],[f759,f533,f778]) ).

fof(f778,plain,
    ( spl60_41
  <=> app(sK32,nil) = sK32 ),
    introduced(avatar_definition,[new_symbols(naming,[spl60_41])]) ).

fof(f759,plain,
    ( app(sK32,nil) = sK32
    | ~ spl60_5 ),
    inference(resolution,[],[f323,f535]) ).

fof(f776,plain,
    ( spl60_40
    | ~ spl60_15 ),
    inference(avatar_split_clause,[],[f761,f581,f773]) ).

fof(f773,plain,
    ( spl60_40
  <=> sK42 = app(sK42,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl60_40])]) ).

fof(f761,plain,
    ( sK42 = app(sK42,nil)
    | ~ spl60_15 ),
    inference(resolution,[],[f323,f583]) ).

fof(f771,plain,
    ( spl60_39
    | ~ spl60_13 ),
    inference(avatar_split_clause,[],[f758,f571,f768]) ).

fof(f768,plain,
    ( spl60_39
  <=> sK31 = app(sK31,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl60_39])]) ).

fof(f758,plain,
    ( sK31 = app(sK31,nil)
    | ~ spl60_13 ),
    inference(resolution,[],[f323,f573]) ).

fof(f766,plain,
    ( spl60_38
    | ~ spl60_20 ),
    inference(avatar_split_clause,[],[f760,f605,f763]) ).

fof(f763,plain,
    ( spl60_38
  <=> app(sK41,nil) = sK41 ),
    introduced(avatar_definition,[new_symbols(naming,[spl60_38])]) ).

fof(f760,plain,
    ( app(sK41,nil) = sK41
    | ~ spl60_20 ),
    inference(resolution,[],[f323,f607]) ).

fof(f756,plain,
    ( spl60_37
    | ~ spl60_5 ),
    inference(avatar_split_clause,[],[f729,f533,f753]) ).

fof(f753,plain,
    ( spl60_37
  <=> app(nil,sK32) = sK32 ),
    introduced(avatar_definition,[new_symbols(naming,[spl60_37])]) ).

fof(f729,plain,
    ( app(nil,sK32) = sK32
    | ~ spl60_5 ),
    inference(resolution,[],[f322,f535]) ).

fof(f751,plain,
    ( spl60_36
    | ~ spl60_7 ),
    inference(avatar_split_clause,[],[f727,f542,f748]) ).

fof(f748,plain,
    ( spl60_36
  <=> nil = app(nil,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl60_36])]) ).

fof(f727,plain,
    ( nil = app(nil,nil)
    | ~ spl60_7 ),
    inference(resolution,[],[f322,f543]) ).

fof(f543,plain,
    ( ssList(nil)
    | ~ spl60_7 ),
    inference(avatar_component_clause,[],[f542]) ).

fof(f746,plain,
    ( spl60_35
    | ~ spl60_20 ),
    inference(avatar_split_clause,[],[f730,f605,f743]) ).

fof(f743,plain,
    ( spl60_35
  <=> app(nil,sK41) = sK41 ),
    introduced(avatar_definition,[new_symbols(naming,[spl60_35])]) ).

fof(f730,plain,
    ( app(nil,sK41) = sK41
    | ~ spl60_20 ),
    inference(resolution,[],[f322,f607]) ).

fof(f741,plain,
    ( spl60_34
    | ~ spl60_15 ),
    inference(avatar_split_clause,[],[f731,f581,f738]) ).

fof(f738,plain,
    ( spl60_34
  <=> sK42 = app(nil,sK42) ),
    introduced(avatar_definition,[new_symbols(naming,[spl60_34])]) ).

fof(f731,plain,
    ( sK42 = app(nil,sK42)
    | ~ spl60_15 ),
    inference(resolution,[],[f322,f583]) ).

fof(f736,plain,
    ( spl60_33
    | ~ spl60_13 ),
    inference(avatar_split_clause,[],[f728,f571,f733]) ).

fof(f733,plain,
    ( spl60_33
  <=> sK31 = app(nil,sK31) ),
    introduced(avatar_definition,[new_symbols(naming,[spl60_33])]) ).

fof(f728,plain,
    ( sK31 = app(nil,sK31)
    | ~ spl60_13 ),
    inference(resolution,[],[f322,f573]) ).

fof(f724,plain,
    ( ~ spl60_10
    | ~ spl60_11
    | ~ spl60_1
    | ~ spl60_4
    | ~ spl60_18 ),
    inference(avatar_split_clause,[],[f723,f595,f528,f515,f561,f556]) ).

fof(f556,plain,
    ( spl60_10
  <=> ssList(sK43) ),
    introduced(avatar_definition,[new_symbols(naming,[spl60_10])]) ).

fof(f561,plain,
    ( spl60_11
  <=> ssItem(sK40) ),
    introduced(avatar_definition,[new_symbols(naming,[spl60_11])]) ).

fof(f515,plain,
    ( spl60_1
  <=> ssItem(sK37) ),
    introduced(avatar_definition,[new_symbols(naming,[spl60_1])]) ).

fof(f595,plain,
    ( spl60_18
  <=> ! [X6,X4,X5] :
        ( ~ ssList(X6)
        | ~ ssItem(X5)
        | app(app(cons(X4,nil),cons(X5,nil)),X6) != sK32
        | ~ ssItem(X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl60_18])]) ).

fof(f723,plain,
    ( ~ ssItem(sK37)
    | ~ ssItem(sK40)
    | ~ ssList(sK43)
    | ~ spl60_4
    | ~ spl60_18 ),
    inference(trivial_inequality_removal,[],[f722]) ).

fof(f722,plain,
    ( ~ ssList(sK43)
    | ~ ssItem(sK40)
    | ~ ssItem(sK37)
    | sK32 != sK32
    | ~ spl60_4
    | ~ spl60_18 ),
    inference(superposition,[],[f596,f530]) ).

fof(f530,plain,
    ( app(app(cons(sK37,nil),cons(sK40,nil)),sK43) = sK32
    | ~ spl60_4 ),
    inference(avatar_component_clause,[],[f528]) ).

fof(f596,plain,
    ( ! [X6,X4,X5] :
        ( app(app(cons(X4,nil),cons(X5,nil)),X6) != sK32
        | ~ ssItem(X5)
        | ~ ssItem(X4)
        | ~ ssList(X6) )
    | ~ spl60_18 ),
    inference(avatar_component_clause,[],[f595]) ).

fof(f721,plain,
    ( spl60_22
    | spl60_18 ),
    inference(avatar_split_clause,[],[f481,f595,f618]) ).

fof(f481,plain,
    ! [X6,X4,X5] :
      ( ~ ssItem(X4)
      | ~ ssList(X6)
      | ~ ssItem(X5)
      | app(app(cons(X4,nil),cons(X5,nil)),X6) != sK32
      | ssItem(sK39) ),
    inference(definition_unfolding,[],[f343,f395]) ).

fof(f395,plain,
    sK34 = sK32,
    inference(cnf_transformation,[],[f168]) ).

fof(f168,plain,
    ? [X0] :
      ( ? [X1] :
          ( ssList(X1)
          & ? [X2] :
              ( ssList(X2)
              & ? [X3] :
                  ( ( ( ! [X4] :
                          ( ~ ssItem(X4)
                          | ! [X5] :
                              ( ! [X6] :
                                  ( ~ ssList(X6)
                                  | app(app(cons(X4,nil),cons(X5,nil)),X6) != X3 )
                              | ~ ssItem(X5) ) )
                      & ? [X7] :
                          ( ? [X8] :
                              ( ? [X9] :
                                  ( ssList(X9)
                                  & app(app(cons(X7,nil),cons(X8,nil)),X9) = X1 )
                              & ssItem(X8) )
                          & ssItem(X7) ) )
                    | ( ? [X13] :
                          ( ssItem(X13)
                          & ? [X14] :
                              ( ssItem(X14)
                              & ? [X15] :
                                  ( ssList(X15)
                                  & app(app(cons(X13,nil),cons(X14,nil)),X15) = X1 ) ) )
                      & ? [X16] :
                          ( ? [X17] :
                              ( ssItem(X17)
                              & ? [X18] :
                                  ( app(app(cons(X17,nil),X18),cons(X16,nil)) != X0
                                  & app(app(cons(X16,nil),X18),cons(X17,nil)) = X1
                                  & ssList(X18) ) )
                          & ssItem(X16) )
                      & ! [X10] :
                          ( ! [X11] :
                              ( ! [X12] :
                                  ( app(app(cons(X11,nil),X12),cons(X10,nil)) = X2
                                  | ~ ssList(X12)
                                  | app(app(cons(X10,nil),X12),cons(X11,nil)) != X3 )
                              | ~ ssItem(X11) )
                          | ~ ssItem(X10) ) ) )
                  & X1 = X3
                  & ssList(X3)
                  & X0 = X2 ) ) )
      & ssList(X0) ),
    inference(ennf_transformation,[],[f97]) ).

fof(f97,negated_conjecture,
    ~ ! [X0] :
        ( ssList(X0)
       => ! [X1] :
            ( ssList(X1)
           => ! [X2] :
                ( ssList(X2)
               => ! [X3] :
                    ( ~ ssList(X3)
                    | ( ( ? [X4] :
                            ( ssItem(X4)
                            & ? [X5] :
                                ( ssItem(X5)
                                & ? [X6] :
                                    ( ssList(X6)
                                    & app(app(cons(X4,nil),cons(X5,nil)),X6) = X3 ) ) )
                        | ! [X7] :
                            ( ssItem(X7)
                           => ! [X8] :
                                ( ssItem(X8)
                               => ! [X9] :
                                    ( ssList(X9)
                                   => app(app(cons(X7,nil),cons(X8,nil)),X9) != X1 ) ) ) )
                      & ( ! [X16] :
                            ( ssItem(X16)
                           => ! [X17] :
                                ( ssItem(X17)
                               => ! [X18] :
                                    ( app(app(cons(X16,nil),X18),cons(X17,nil)) != X1
                                    | ~ ssList(X18)
                                    | app(app(cons(X17,nil),X18),cons(X16,nil)) = X0 ) ) )
                        | ! [X13] :
                            ( ssItem(X13)
                           => ! [X14] :
                                ( ssItem(X14)
                               => ! [X15] :
                                    ( ssList(X15)
                                   => app(app(cons(X13,nil),cons(X14,nil)),X15) != X1 ) ) )
                        | ? [X10] :
                            ( ssItem(X10)
                            & ? [X11] :
                                ( ssItem(X11)
                                & ? [X12] :
                                    ( app(app(cons(X11,nil),X12),cons(X10,nil)) != X2
                                    & app(app(cons(X10,nil),X12),cons(X11,nil)) = X3
                                    & ssList(X12) ) ) ) ) )
                    | X0 != X2
                    | X1 != X3 ) ) ) ),
    inference(negated_conjecture,[],[f96]) ).

fof(f96,conjecture,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ! [X3] :
                  ( ~ ssList(X3)
                  | ( ( ? [X4] :
                          ( ssItem(X4)
                          & ? [X5] :
                              ( ssItem(X5)
                              & ? [X6] :
                                  ( ssList(X6)
                                  & app(app(cons(X4,nil),cons(X5,nil)),X6) = X3 ) ) )
                      | ! [X7] :
                          ( ssItem(X7)
                         => ! [X8] :
                              ( ssItem(X8)
                             => ! [X9] :
                                  ( ssList(X9)
                                 => app(app(cons(X7,nil),cons(X8,nil)),X9) != X1 ) ) ) )
                    & ( ! [X16] :
                          ( ssItem(X16)
                         => ! [X17] :
                              ( ssItem(X17)
                             => ! [X18] :
                                  ( app(app(cons(X16,nil),X18),cons(X17,nil)) != X1
                                  | ~ ssList(X18)
                                  | app(app(cons(X17,nil),X18),cons(X16,nil)) = X0 ) ) )
                      | ! [X13] :
                          ( ssItem(X13)
                         => ! [X14] :
                              ( ssItem(X14)
                             => ! [X15] :
                                  ( ssList(X15)
                                 => app(app(cons(X13,nil),cons(X14,nil)),X15) != X1 ) ) )
                      | ? [X10] :
                          ( ssItem(X10)
                          & ? [X11] :
                              ( ssItem(X11)
                              & ? [X12] :
                                  ( app(app(cons(X11,nil),X12),cons(X10,nil)) != X2
                                  & app(app(cons(X10,nil),X12),cons(X11,nil)) = X3
                                  & ssList(X12) ) ) ) ) )
                  | X0 != X2
                  | X1 != X3 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f343,plain,
    ! [X6,X4,X5] :
      ( ssItem(sK39)
      | ~ ssItem(X5)
      | app(app(cons(X4,nil),cons(X5,nil)),X6) != sK34
      | ~ ssList(X6)
      | ~ ssItem(X4) ),
    inference(cnf_transformation,[],[f168]) ).

fof(f720,plain,
    ( spl60_10
    | spl60_15 ),
    inference(avatar_split_clause,[],[f370,f581,f556]) ).

fof(f370,plain,
    ( ssList(sK42)
    | ssList(sK43) ),
    inference(cnf_transformation,[],[f168]) ).

fof(f719,plain,
    ( spl60_10
    | spl60_12 ),
    inference(avatar_split_clause,[],[f356,f565,f556]) ).

fof(f356,plain,
    ( ssItem(sK38)
    | ssList(sK43) ),
    inference(cnf_transformation,[],[f168]) ).

fof(f717,plain,
    ( spl60_3
    | spl60_1 ),
    inference(avatar_split_clause,[],[f373,f515,f524]) ).

fof(f373,plain,
    ( ssItem(sK37)
    | sK32 = app(app(cons(sK36,nil),cons(sK39,nil)),sK42) ),
    inference(cnf_transformation,[],[f168]) ).

fof(f716,plain,
    spl60_32,
    inference(avatar_split_clause,[],[f453,f713]) ).

fof(f453,plain,
    ssItem(sK58),
    inference(cnf_transformation,[],[f2]) ).

fof(f2,axiom,
    ? [X0] :
      ( ssItem(X0)
      & ? [X1] :
          ( ssItem(X1)
          & X0 != X1 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).

fof(f711,plain,
    ( spl60_4
    | spl60_2 ),
    inference(avatar_split_clause,[],[f357,f519,f528]) ).

fof(f357,plain,
    ( ssItem(sK35)
    | app(app(cons(sK37,nil),cons(sK40,nil)),sK43) = sK32 ),
    inference(cnf_transformation,[],[f168]) ).

fof(f710,plain,
    ( spl60_20
    | spl60_18 ),
    inference(avatar_split_clause,[],[f474,f595,f605]) ).

fof(f474,plain,
    ! [X6,X4,X5] :
      ( app(app(cons(X4,nil),cons(X5,nil)),X6) != sK32
      | ssList(sK41)
      | ~ ssList(X6)
      | ~ ssItem(X4)
      | ~ ssItem(X5) ),
    inference(definition_unfolding,[],[f350,f395]) ).

fof(f350,plain,
    ! [X6,X4,X5] :
      ( ssList(sK41)
      | ~ ssItem(X5)
      | app(app(cons(X4,nil),cons(X5,nil)),X6) != sK34
      | ~ ssList(X6)
      | ~ ssItem(X4) ),
    inference(cnf_transformation,[],[f168]) ).

fof(f709,plain,
    ( spl60_4
    | spl60_19 ),
    inference(avatar_split_clause,[],[f365,f600,f528]) ).

fof(f365,plain,
    ( app(app(cons(sK35,nil),sK41),cons(sK38,nil)) = sK32
    | app(app(cons(sK37,nil),cons(sK40,nil)),sK43) = sK32 ),
    inference(cnf_transformation,[],[f168]) ).

fof(f708,plain,
    ( spl60_11
    | spl60_15 ),
    inference(avatar_split_clause,[],[f376,f581,f561]) ).

fof(f376,plain,
    ( ssList(sK42)
    | ssItem(sK40) ),
    inference(cnf_transformation,[],[f168]) ).

fof(f705,plain,
    ( spl60_4
    | spl60_27 ),
    inference(avatar_split_clause,[],[f704,f654,f528]) ).

fof(f704,plain,
    ! [X10,X11,X12] :
      ( sK32 != app(cons(X10,X12),cons(X11,nil))
      | ~ ssItem(X11)
      | ~ ssItem(X10)
      | sK31 = app(cons(X11,X12),cons(X10,nil))
      | app(app(cons(sK37,nil),cons(sK40,nil)),sK43) = sK32
      | ~ ssList(X12) ),
    inference(forward_subsumption_demodulation,[],[f703,f338]) ).

fof(f703,plain,
    ! [X10,X11,X12] :
      ( ~ ssItem(X10)
      | sK31 = app(cons(X11,X12),cons(X10,nil))
      | ~ ssItem(X11)
      | ~ ssList(X12)
      | app(app(cons(sK37,nil),cons(sK40,nil)),sK43) = sK32
      | app(app(cons(X10,nil),X12),cons(X11,nil)) != sK32 ),
    inference(forward_subsumption_demodulation,[],[f471,f338]) ).

fof(f471,plain,
    ! [X10,X11,X12] :
      ( ~ ssItem(X10)
      | app(app(cons(sK37,nil),cons(sK40,nil)),sK43) = sK32
      | app(app(cons(X11,nil),X12),cons(X10,nil)) = sK31
      | ~ ssItem(X11)
      | ~ ssList(X12)
      | app(app(cons(X10,nil),X12),cons(X11,nil)) != sK32 ),
    inference(definition_unfolding,[],[f361,f395,f393]) ).

fof(f393,plain,
    sK33 = sK31,
    inference(cnf_transformation,[],[f168]) ).

fof(f361,plain,
    ! [X10,X11,X12] :
      ( ~ ssItem(X10)
      | ~ ssItem(X11)
      | app(app(cons(X10,nil),X12),cons(X11,nil)) != sK34
      | ~ ssList(X12)
      | app(app(cons(X11,nil),X12),cons(X10,nil)) = sK33
      | app(app(cons(sK37,nil),cons(sK40,nil)),sK43) = sK32 ),
    inference(cnf_transformation,[],[f168]) ).

fof(f702,plain,
    ( spl60_19
    | spl60_11 ),
    inference(avatar_split_clause,[],[f381,f561,f600]) ).

fof(f381,plain,
    ( ssItem(sK40)
    | app(app(cons(sK35,nil),sK41),cons(sK38,nil)) = sK32 ),
    inference(cnf_transformation,[],[f168]) ).

fof(f701,plain,
    ( spl60_11
    | spl60_20 ),
    inference(avatar_split_clause,[],[f380,f605,f561]) ).

fof(f380,plain,
    ( ssList(sK41)
    | ssItem(sK40) ),
    inference(cnf_transformation,[],[f168]) ).

fof(f700,plain,
    spl60_31,
    inference(avatar_split_clause,[],[f294,f697]) ).

fof(f697,plain,
    ( spl60_31
  <=> equalelemsP(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl60_31])]) ).

fof(f294,plain,
    equalelemsP(nil),
    inference(cnf_transformation,[],[f74]) ).

fof(f74,axiom,
    equalelemsP(nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax74) ).

fof(f694,plain,
    ( spl60_11
    | spl60_22 ),
    inference(avatar_split_clause,[],[f388,f618,f561]) ).

fof(f388,plain,
    ( ssItem(sK39)
    | ssItem(sK40) ),
    inference(cnf_transformation,[],[f168]) ).

fof(f693,plain,
    ( spl60_12
    | spl60_1 ),
    inference(avatar_split_clause,[],[f390,f515,f565]) ).

fof(f390,plain,
    ( ssItem(sK37)
    | ssItem(sK38) ),
    inference(cnf_transformation,[],[f168]) ).

fof(f692,plain,
    ( spl60_1
    | spl60_27 ),
    inference(avatar_split_clause,[],[f691,f654,f515]) ).

fof(f691,plain,
    ! [X10,X11,X12] :
      ( ~ ssItem(X10)
      | ~ ssList(X12)
      | sK32 != app(cons(X10,X12),cons(X11,nil))
      | ~ ssItem(X11)
      | sK31 = app(cons(X11,X12),cons(X10,nil))
      | ssItem(sK37) ),
    inference(forward_subsumption_demodulation,[],[f690,f338]) ).

fof(f690,plain,
    ! [X10,X11,X12] :
      ( app(app(cons(X11,nil),X12),cons(X10,nil)) = sK31
      | ~ ssItem(X10)
      | ~ ssList(X12)
      | sK32 != app(cons(X10,X12),cons(X11,nil))
      | ssItem(sK37)
      | ~ ssItem(X11) ),
    inference(forward_subsumption_demodulation,[],[f469,f338]) ).

fof(f469,plain,
    ! [X10,X11,X12] :
      ( app(app(cons(X11,nil),X12),cons(X10,nil)) = sK31
      | ~ ssList(X12)
      | ssItem(sK37)
      | ~ ssItem(X11)
      | app(app(cons(X10,nil),X12),cons(X11,nil)) != sK32
      | ~ ssItem(X10) ),
    inference(definition_unfolding,[],[f383,f395,f393]) ).

fof(f383,plain,
    ! [X10,X11,X12] :
      ( ~ ssItem(X10)
      | ~ ssItem(X11)
      | app(app(cons(X10,nil),X12),cons(X11,nil)) != sK34
      | ~ ssList(X12)
      | app(app(cons(X11,nil),X12),cons(X10,nil)) = sK33
      | ssItem(sK37) ),
    inference(cnf_transformation,[],[f168]) ).

fof(f689,plain,
    ( ~ spl60_26
    | spl60_10 ),
    inference(avatar_split_clause,[],[f364,f556,f646]) ).

fof(f364,plain,
    ( ssList(sK43)
    | app(app(cons(sK38,nil),sK41),cons(sK35,nil)) != sK31 ),
    inference(cnf_transformation,[],[f168]) ).

fof(f688,plain,
    ( spl60_3
    | spl60_10 ),
    inference(avatar_split_clause,[],[f372,f556,f524]) ).

fof(f372,plain,
    ( ssList(sK43)
    | sK32 = app(app(cons(sK36,nil),cons(sK39,nil)),sK42) ),
    inference(cnf_transformation,[],[f168]) ).

fof(f687,plain,
    ( spl60_18
    | spl60_15 ),
    inference(avatar_split_clause,[],[f473,f581,f595]) ).

fof(f473,plain,
    ! [X6,X4,X5] :
      ( ssList(sK42)
      | ~ ssItem(X4)
      | ~ ssList(X6)
      | ~ ssItem(X5)
      | app(app(cons(X4,nil),cons(X5,nil)),X6) != sK32 ),
    inference(definition_unfolding,[],[f351,f395]) ).

fof(f351,plain,
    ! [X6,X4,X5] :
      ( ssList(sK42)
      | ~ ssItem(X5)
      | app(app(cons(X4,nil),cons(X5,nil)),X6) != sK34
      | ~ ssList(X6)
      | ~ ssItem(X4) ),
    inference(cnf_transformation,[],[f168]) ).

fof(f686,plain,
    ( spl60_12
    | spl60_18 ),
    inference(avatar_split_clause,[],[f480,f595,f565]) ).

fof(f480,plain,
    ! [X6,X4,X5] :
      ( ~ ssItem(X5)
      | ssItem(sK38)
      | ~ ssItem(X4)
      | ~ ssList(X6)
      | app(app(cons(X4,nil),cons(X5,nil)),X6) != sK32 ),
    inference(definition_unfolding,[],[f344,f395]) ).

fof(f344,plain,
    ! [X6,X4,X5] :
      ( ssItem(sK38)
      | ~ ssItem(X5)
      | app(app(cons(X4,nil),cons(X5,nil)),X6) != sK34
      | ~ ssList(X6)
      | ~ ssItem(X4) ),
    inference(cnf_transformation,[],[f168]) ).

fof(f685,plain,
    ( ~ spl60_26
    | spl60_11 ),
    inference(avatar_split_clause,[],[f382,f561,f646]) ).

fof(f382,plain,
    ( ssItem(sK40)
    | app(app(cons(sK38,nil),sK41),cons(sK35,nil)) != sK31 ),
    inference(cnf_transformation,[],[f168]) ).

fof(f684,plain,
    ( spl60_10
    | spl60_22 ),
    inference(avatar_split_clause,[],[f354,f618,f556]) ).

fof(f354,plain,
    ( ssItem(sK39)
    | ssList(sK43) ),
    inference(cnf_transformation,[],[f168]) ).

fof(f682,plain,
    ( spl60_11
    | spl60_3 ),
    inference(avatar_split_clause,[],[f375,f524,f561]) ).

fof(f375,plain,
    ( sK32 = app(app(cons(sK36,nil),cons(sK39,nil)),sK42)
    | ssItem(sK40) ),
    inference(cnf_transformation,[],[f168]) ).

fof(f681,plain,
    ( spl60_11
    | spl60_27 ),
    inference(avatar_split_clause,[],[f680,f654,f561]) ).

fof(f680,plain,
    ! [X10,X11,X12] :
      ( ~ ssItem(X11)
      | ssItem(sK40)
      | ~ ssItem(X10)
      | sK32 != app(cons(X10,X12),cons(X11,nil))
      | ~ ssList(X12)
      | sK31 = app(cons(X11,X12),cons(X10,nil)) ),
    inference(forward_subsumption_demodulation,[],[f679,f338]) ).

fof(f679,plain,
    ! [X10,X11,X12] :
      ( app(app(cons(X11,nil),X12),cons(X10,nil)) = sK31
      | ~ ssList(X12)
      | ~ ssItem(X11)
      | ssItem(sK40)
      | sK32 != app(cons(X10,X12),cons(X11,nil))
      | ~ ssItem(X10) ),
    inference(forward_subsumption_demodulation,[],[f468,f338]) ).

fof(f468,plain,
    ! [X10,X11,X12] :
      ( ~ ssItem(X11)
      | ~ ssList(X12)
      | app(app(cons(X11,nil),X12),cons(X10,nil)) = sK31
      | ssItem(sK40)
      | app(app(cons(X10,nil),X12),cons(X11,nil)) != sK32
      | ~ ssItem(X10) ),
    inference(definition_unfolding,[],[f384,f395,f393]) ).

fof(f384,plain,
    ! [X10,X11,X12] :
      ( ~ ssItem(X10)
      | ~ ssItem(X11)
      | app(app(cons(X10,nil),X12),cons(X11,nil)) != sK34
      | ~ ssList(X12)
      | app(app(cons(X11,nil),X12),cons(X10,nil)) = sK33
      | ssItem(sK40) ),
    inference(cnf_transformation,[],[f168]) ).

fof(f678,plain,
    ( spl60_10
    | spl60_19 ),
    inference(avatar_split_clause,[],[f366,f600,f556]) ).

fof(f366,plain,
    ( app(app(cons(sK35,nil),sK41),cons(sK38,nil)) = sK32
    | ssList(sK43) ),
    inference(cnf_transformation,[],[f168]) ).

fof(f677,plain,
    ( spl60_20
    | spl60_4 ),
    inference(avatar_split_clause,[],[f367,f528,f605]) ).

fof(f367,plain,
    ( app(app(cons(sK37,nil),cons(sK40,nil)),sK43) = sK32
    | ssList(sK41) ),
    inference(cnf_transformation,[],[f168]) ).

fof(f676,plain,
    ( spl60_15
    | spl60_4 ),
    inference(avatar_split_clause,[],[f369,f528,f581]) ).

fof(f369,plain,
    ( app(app(cons(sK37,nil),cons(sK40,nil)),sK43) = sK32
    | ssList(sK42) ),
    inference(cnf_transformation,[],[f168]) ).

fof(f675,plain,
    spl60_30,
    inference(avatar_split_clause,[],[f282,f672]) ).

fof(f672,plain,
    ( spl60_30
  <=> strictorderedP(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl60_30])]) ).

fof(f282,plain,
    strictorderedP(nil),
    inference(cnf_transformation,[],[f69]) ).

fof(f69,axiom,
    strictorderedP(nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax69) ).

fof(f670,plain,
    ~ spl60_29,
    inference(avatar_split_clause,[],[f452,f667]) ).

fof(f667,plain,
    ( spl60_29
  <=> sK57 = sK58 ),
    introduced(avatar_definition,[new_symbols(naming,[spl60_29])]) ).

fof(f452,plain,
    sK57 != sK58,
    inference(cnf_transformation,[],[f2]) ).

fof(f665,plain,
    ( ~ spl60_26
    | spl60_18 ),
    inference(avatar_split_clause,[],[f476,f595,f646]) ).

fof(f476,plain,
    ! [X6,X4,X5] :
      ( ~ ssItem(X5)
      | ~ ssItem(X4)
      | app(app(cons(X4,nil),cons(X5,nil)),X6) != sK32
      | app(app(cons(sK38,nil),sK41),cons(sK35,nil)) != sK31
      | ~ ssList(X6) ),
    inference(definition_unfolding,[],[f348,f395]) ).

fof(f348,plain,
    ! [X6,X4,X5] :
      ( app(app(cons(sK38,nil),sK41),cons(sK35,nil)) != sK31
      | ~ ssItem(X5)
      | app(app(cons(X4,nil),cons(X5,nil)),X6) != sK34
      | ~ ssList(X6)
      | ~ ssItem(X4) ),
    inference(cnf_transformation,[],[f168]) ).

fof(f664,plain,
    spl60_7,
    inference(avatar_split_clause,[],[f428,f542]) ).

fof(f428,plain,
    ssList(nil),
    inference(cnf_transformation,[],[f17]) ).

fof(f17,axiom,
    ssList(nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).

fof(f663,plain,
    ( spl60_4
    | ~ spl60_26 ),
    inference(avatar_split_clause,[],[f363,f646,f528]) ).

fof(f363,plain,
    ( app(app(cons(sK38,nil),sK41),cons(sK35,nil)) != sK31
    | app(app(cons(sK37,nil),cons(sK40,nil)),sK43) = sK32 ),
    inference(cnf_transformation,[],[f168]) ).

fof(f662,plain,
    spl60_8,
    inference(avatar_split_clause,[],[f333,f547]) ).

fof(f547,plain,
    ( spl60_8
  <=> ! [X0] :
        ( totalorderedP(cons(X0,nil))
        | ~ ssItem(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl60_8])]) ).

fof(f333,plain,
    ! [X0] :
      ( totalorderedP(cons(X0,nil))
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f164]) ).

fof(f164,plain,
    ! [X0] :
      ( ~ ssItem(X0)
      | totalorderedP(cons(X0,nil)) ),
    inference(ennf_transformation,[],[f65]) ).

fof(f65,axiom,
    ! [X0] :
      ( ssItem(X0)
     => totalorderedP(cons(X0,nil)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax65) ).

fof(f661,plain,
    spl60_28,
    inference(avatar_split_clause,[],[f415,f658]) ).

fof(f658,plain,
    ( spl60_28
  <=> duplicatefreeP(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl60_28])]) ).

fof(f415,plain,
    duplicatefreeP(nil),
    inference(cnf_transformation,[],[f72]) ).

fof(f72,axiom,
    duplicatefreeP(nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax72) ).

fof(f656,plain,
    ( spl60_18
    | spl60_27 ),
    inference(avatar_split_clause,[],[f652,f654,f595]) ).

fof(f652,plain,
    ! [X10,X11,X6,X4,X5,X12] :
      ( sK32 != app(cons(X10,X12),cons(X11,nil))
      | ~ ssItem(X5)
      | ~ ssItem(X10)
      | ~ ssList(X12)
      | ~ ssItem(X11)
      | ~ ssList(X6)
      | ~ ssItem(X4)
      | app(app(cons(X4,nil),cons(X5,nil)),X6) != sK32
      | sK31 = app(cons(X11,X12),cons(X10,nil)) ),
    inference(forward_subsumption_demodulation,[],[f651,f338]) ).

fof(f651,plain,
    ! [X10,X11,X6,X4,X5,X12] :
      ( sK31 = app(cons(X11,X12),cons(X10,nil))
      | app(app(cons(X4,nil),cons(X5,nil)),X6) != sK32
      | ~ ssItem(X10)
      | ~ ssItem(X11)
      | ~ ssItem(X5)
      | ~ ssList(X6)
      | ~ ssList(X12)
      | ~ ssItem(X4)
      | app(app(cons(X10,nil),X12),cons(X11,nil)) != sK32 ),
    inference(forward_subsumption_demodulation,[],[f477,f338]) ).

fof(f477,plain,
    ! [X10,X11,X6,X4,X5,X12] :
      ( app(app(cons(X4,nil),cons(X5,nil)),X6) != sK32
      | ~ ssList(X6)
      | ~ ssItem(X10)
      | ~ ssList(X12)
      | app(app(cons(X10,nil),X12),cons(X11,nil)) != sK32
      | ~ ssItem(X5)
      | ~ ssItem(X4)
      | ~ ssItem(X11)
      | app(app(cons(X11,nil),X12),cons(X10,nil)) = sK31 ),
    inference(definition_unfolding,[],[f347,f395,f393,f395]) ).

fof(f347,plain,
    ! [X10,X11,X6,X4,X5,X12] :
      ( ~ ssItem(X10)
      | ~ ssItem(X11)
      | app(app(cons(X10,nil),X12),cons(X11,nil)) != sK34
      | ~ ssList(X12)
      | app(app(cons(X11,nil),X12),cons(X10,nil)) = sK33
      | ~ ssItem(X5)
      | app(app(cons(X4,nil),cons(X5,nil)),X6) != sK34
      | ~ ssList(X6)
      | ~ ssItem(X4) ),
    inference(cnf_transformation,[],[f168]) ).

fof(f650,plain,
    ( spl60_11
    | spl60_2 ),
    inference(avatar_split_clause,[],[f386,f519,f561]) ).

fof(f386,plain,
    ( ssItem(sK35)
    | ssItem(sK40) ),
    inference(cnf_transformation,[],[f168]) ).

fof(f649,plain,
    ( ~ spl60_26
    | spl60_1 ),
    inference(avatar_split_clause,[],[f379,f515,f646]) ).

fof(f379,plain,
    ( ssItem(sK37)
    | app(app(cons(sK38,nil),sK41),cons(sK35,nil)) != sK31 ),
    inference(cnf_transformation,[],[f168]) ).

fof(f643,plain,
    ( spl60_18
    | spl60_2 ),
    inference(avatar_split_clause,[],[f479,f519,f595]) ).

fof(f479,plain,
    ! [X6,X4,X5] :
      ( ssItem(sK35)
      | ~ ssItem(X4)
      | app(app(cons(X4,nil),cons(X5,nil)),X6) != sK32
      | ~ ssList(X6)
      | ~ ssItem(X5) ),
    inference(definition_unfolding,[],[f345,f395]) ).

fof(f345,plain,
    ! [X6,X4,X5] :
      ( ssItem(sK35)
      | ~ ssItem(X5)
      | app(app(cons(X4,nil),cons(X5,nil)),X6) != sK34
      | ~ ssList(X6)
      | ~ ssItem(X4) ),
    inference(cnf_transformation,[],[f168]) ).

fof(f642,plain,
    spl60_5,
    inference(avatar_split_clause,[],[f467,f533]) ).

fof(f467,plain,
    ssList(sK32),
    inference(definition_unfolding,[],[f394,f395]) ).

fof(f394,plain,
    ssList(sK34),
    inference(cnf_transformation,[],[f168]) ).

fof(f641,plain,
    ( spl60_22
    | spl60_1 ),
    inference(avatar_split_clause,[],[f389,f515,f618]) ).

fof(f389,plain,
    ( ssItem(sK37)
    | ssItem(sK39) ),
    inference(cnf_transformation,[],[f168]) ).

fof(f640,plain,
    spl60_25,
    inference(avatar_split_clause,[],[f454,f637]) ).

fof(f454,plain,
    ssItem(sK57),
    inference(cnf_transformation,[],[f2]) ).

fof(f635,plain,
    ( spl60_20
    | spl60_10 ),
    inference(avatar_split_clause,[],[f368,f556,f605]) ).

fof(f368,plain,
    ( ssList(sK43)
    | ssList(sK41) ),
    inference(cnf_transformation,[],[f168]) ).

fof(f634,plain,
    ( spl60_3
    | spl60_18 ),
    inference(avatar_split_clause,[],[f472,f595,f524]) ).

fof(f472,plain,
    ! [X6,X4,X5] :
      ( ~ ssList(X6)
      | app(app(cons(X4,nil),cons(X5,nil)),X6) != sK32
      | ~ ssItem(X4)
      | ~ ssItem(X5)
      | sK32 = app(app(cons(sK36,nil),cons(sK39,nil)),sK42) ),
    inference(definition_unfolding,[],[f352,f395]) ).

fof(f352,plain,
    ! [X6,X4,X5] :
      ( sK32 = app(app(cons(sK36,nil),cons(sK39,nil)),sK42)
      | ~ ssItem(X5)
      | app(app(cons(X4,nil),cons(X5,nil)),X6) != sK34
      | ~ ssList(X6)
      | ~ ssItem(X4) ),
    inference(cnf_transformation,[],[f168]) ).

fof(f633,plain,
    spl60_24,
    inference(avatar_split_clause,[],[f413,f630]) ).

fof(f630,plain,
    ( spl60_24
  <=> totalorderedP(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl60_24])]) ).

fof(f413,plain,
    totalorderedP(nil),
    inference(cnf_transformation,[],[f66]) ).

fof(f66,axiom,
    totalorderedP(nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax66) ).

fof(f628,plain,
    ~ spl60_23,
    inference(avatar_split_clause,[],[f273,f625]) ).

fof(f625,plain,
    ( spl60_23
  <=> singletonP(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl60_23])]) ).

fof(f273,plain,
    ~ singletonP(nil),
    inference(cnf_transformation,[],[f39]) ).

fof(f39,axiom,
    ~ singletonP(nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax39) ).

fof(f623,plain,
    ( spl60_19
    | spl60_18 ),
    inference(avatar_split_clause,[],[f475,f595,f600]) ).

fof(f475,plain,
    ! [X6,X4,X5] :
      ( ~ ssItem(X5)
      | ~ ssItem(X4)
      | app(app(cons(X4,nil),cons(X5,nil)),X6) != sK32
      | ~ ssList(X6)
      | app(app(cons(sK35,nil),sK41),cons(sK38,nil)) = sK32 ),
    inference(definition_unfolding,[],[f349,f395]) ).

fof(f349,plain,
    ! [X6,X4,X5] :
      ( app(app(cons(sK35,nil),sK41),cons(sK38,nil)) = sK32
      | ~ ssItem(X5)
      | app(app(cons(X4,nil),cons(X5,nil)),X6) != sK34
      | ~ ssList(X6)
      | ~ ssItem(X4) ),
    inference(cnf_transformation,[],[f168]) ).

fof(f622,plain,
    spl60_13,
    inference(avatar_split_clause,[],[f398,f571]) ).

fof(f398,plain,
    ssList(sK31),
    inference(cnf_transformation,[],[f168]) ).

fof(f621,plain,
    ( spl60_22
    | spl60_4 ),
    inference(avatar_split_clause,[],[f353,f528,f618]) ).

fof(f353,plain,
    ( app(app(cons(sK37,nil),cons(sK40,nil)),sK43) = sK32
    | ssItem(sK39) ),
    inference(cnf_transformation,[],[f168]) ).

fof(f615,plain,
    spl60_21,
    inference(avatar_split_clause,[],[f424,f612]) ).

fof(f612,plain,
    ( spl60_21
  <=> totalorderP(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl60_21])]) ).

fof(f424,plain,
    totalorderP(nil),
    inference(cnf_transformation,[],[f62]) ).

fof(f62,axiom,
    totalorderP(nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax62) ).

fof(f610,plain,
    ( spl60_1
    | spl60_17 ),
    inference(avatar_split_clause,[],[f392,f590,f515]) ).

fof(f392,plain,
    ( ssItem(sK36)
    | ssItem(sK37) ),
    inference(cnf_transformation,[],[f168]) ).

fof(f609,plain,
    ( spl60_10
    | spl60_17 ),
    inference(avatar_split_clause,[],[f360,f590,f556]) ).

fof(f360,plain,
    ( ssItem(sK36)
    | ssList(sK43) ),
    inference(cnf_transformation,[],[f168]) ).

fof(f608,plain,
    ( spl60_1
    | spl60_20 ),
    inference(avatar_split_clause,[],[f377,f605,f515]) ).

fof(f377,plain,
    ( ssList(sK41)
    | ssItem(sK37) ),
    inference(cnf_transformation,[],[f168]) ).

fof(f603,plain,
    ( spl60_19
    | spl60_1 ),
    inference(avatar_split_clause,[],[f378,f515,f600]) ).

fof(f378,plain,
    ( ssItem(sK37)
    | app(app(cons(sK35,nil),sK41),cons(sK38,nil)) = sK32 ),
    inference(cnf_transformation,[],[f168]) ).

fof(f598,plain,
    ( spl60_17
    | spl60_11 ),
    inference(avatar_split_clause,[],[f385,f561,f590]) ).

fof(f385,plain,
    ( ssItem(sK40)
    | ssItem(sK36) ),
    inference(cnf_transformation,[],[f168]) ).

fof(f597,plain,
    ( spl60_17
    | spl60_18 ),
    inference(avatar_split_clause,[],[f478,f595,f590]) ).

fof(f478,plain,
    ! [X6,X4,X5] :
      ( ~ ssList(X6)
      | ~ ssItem(X5)
      | ssItem(sK36)
      | ~ ssItem(X4)
      | app(app(cons(X4,nil),cons(X5,nil)),X6) != sK32 ),
    inference(definition_unfolding,[],[f346,f395]) ).

fof(f346,plain,
    ! [X6,X4,X5] :
      ( ssItem(sK36)
      | ~ ssItem(X5)
      | app(app(cons(X4,nil),cons(X5,nil)),X6) != sK34
      | ~ ssList(X6)
      | ~ ssItem(X4) ),
    inference(cnf_transformation,[],[f168]) ).

fof(f593,plain,
    ( spl60_4
    | spl60_17 ),
    inference(avatar_split_clause,[],[f359,f590,f528]) ).

fof(f359,plain,
    ( ssItem(sK36)
    | app(app(cons(sK37,nil),cons(sK40,nil)),sK43) = sK32 ),
    inference(cnf_transformation,[],[f168]) ).

fof(f588,plain,
    ( spl60_10
    | spl60_16 ),
    inference(avatar_split_clause,[],[f470,f586,f556]) ).

fof(f470,plain,
    ! [X10,X11,X12] :
      ( ~ ssItem(X10)
      | ssList(sK43)
      | app(app(cons(X10,nil),X12),cons(X11,nil)) != sK32
      | ~ ssItem(X11)
      | app(app(cons(X11,nil),X12),cons(X10,nil)) = sK31
      | ~ ssList(X12) ),
    inference(definition_unfolding,[],[f362,f395,f393]) ).

fof(f362,plain,
    ! [X10,X11,X12] :
      ( ~ ssItem(X10)
      | ~ ssItem(X11)
      | app(app(cons(X10,nil),X12),cons(X11,nil)) != sK34
      | ~ ssList(X12)
      | app(app(cons(X11,nil),X12),cons(X10,nil)) = sK33
      | ssList(sK43) ),
    inference(cnf_transformation,[],[f168]) ).

fof(f584,plain,
    ( spl60_15
    | spl60_1 ),
    inference(avatar_split_clause,[],[f374,f515,f581]) ).

fof(f374,plain,
    ( ssItem(sK37)
    | ssList(sK42) ),
    inference(cnf_transformation,[],[f168]) ).

fof(f579,plain,
    spl60_14,
    inference(avatar_split_clause,[],[f448,f576]) ).

fof(f576,plain,
    ( spl60_14
  <=> strictorderP(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl60_14])]) ).

fof(f448,plain,
    strictorderP(nil),
    inference(cnf_transformation,[],[f64]) ).

fof(f64,axiom,
    strictorderP(nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax64) ).

fof(f574,plain,
    spl60_13,
    inference(avatar_split_clause,[],[f466,f571]) ).

fof(f466,plain,
    ssList(sK31),
    inference(definition_unfolding,[],[f396,f393]) ).

fof(f396,plain,
    ssList(sK33),
    inference(cnf_transformation,[],[f168]) ).

fof(f569,plain,
    ( spl60_12
    | spl60_4 ),
    inference(avatar_split_clause,[],[f355,f528,f565]) ).

fof(f355,plain,
    ( app(app(cons(sK37,nil),cons(sK40,nil)),sK43) = sK32
    | ssItem(sK38) ),
    inference(cnf_transformation,[],[f168]) ).

fof(f568,plain,
    ( spl60_11
    | spl60_12 ),
    inference(avatar_split_clause,[],[f387,f565,f561]) ).

fof(f387,plain,
    ( ssItem(sK38)
    | ssItem(sK40) ),
    inference(cnf_transformation,[],[f168]) ).

fof(f559,plain,
    ( spl60_2
    | spl60_10 ),
    inference(avatar_split_clause,[],[f358,f556,f519]) ).

fof(f358,plain,
    ( ssList(sK43)
    | ssItem(sK35) ),
    inference(cnf_transformation,[],[f168]) ).

fof(f554,plain,
    spl60_9,
    inference(avatar_split_clause,[],[f425,f551]) ).

fof(f551,plain,
    ( spl60_9
  <=> cyclefreeP(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl60_9])]) ).

fof(f425,plain,
    cyclefreeP(nil),
    inference(cnf_transformation,[],[f60]) ).

fof(f60,axiom,
    cyclefreeP(nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax60) ).

fof(f549,plain,
    ( spl60_8
    | ~ spl60_7 ),
    inference(avatar_split_clause,[],[f496,f542,f547]) ).

fof(f496,plain,
    ! [X0] :
      ( ~ ssList(nil)
      | totalorderedP(cons(X0,nil))
      | ~ ssItem(X0) ),
    inference(equality_resolution,[],[f402]) ).

fof(f402,plain,
    ! [X0,X1] :
      ( totalorderedP(cons(X0,X1))
      | nil != X1
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f112]) ).

fof(f112,plain,
    ! [X0] :
      ( ~ ssItem(X0)
      | ! [X1] :
          ( ~ ssList(X1)
          | ( ( nil = X1
              | ( leq(X0,hd(X1))
                & nil != X1
                & totalorderedP(X1) ) )
          <=> totalorderedP(cons(X0,X1)) ) ) ),
    inference(ennf_transformation,[],[f67]) ).

fof(f67,axiom,
    ! [X0] :
      ( ssItem(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( ( nil = X1
              | ( leq(X0,hd(X1))
                & nil != X1
                & totalorderedP(X1) ) )
          <=> totalorderedP(cons(X0,X1)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax67) ).

fof(f545,plain,
    ( spl60_6
    | ~ spl60_7 ),
    inference(avatar_split_clause,[],[f486,f542,f538]) ).

fof(f538,plain,
    ( spl60_6
  <=> segmentP(nil,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl60_6])]) ).

fof(f486,plain,
    ( ~ ssList(nil)
    | segmentP(nil,nil) ),
    inference(equality_resolution,[],[f268]) ).

fof(f268,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | segmentP(nil,X0)
      | nil != X0 ),
    inference(cnf_transformation,[],[f166]) ).

fof(f166,plain,
    ! [X0] :
      ( ( nil = X0
      <=> segmentP(nil,X0) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f58]) ).

fof(f58,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( nil = X0
      <=> segmentP(nil,X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax58) ).

fof(f536,plain,
    spl60_5,
    inference(avatar_split_clause,[],[f397,f533]) ).

fof(f397,plain,
    ssList(sK32),
    inference(cnf_transformation,[],[f168]) ).

fof(f531,plain,
    ( spl60_3
    | spl60_4 ),
    inference(avatar_split_clause,[],[f371,f528,f524]) ).

fof(f371,plain,
    ( app(app(cons(sK37,nil),cons(sK40,nil)),sK43) = sK32
    | sK32 = app(app(cons(sK36,nil),cons(sK39,nil)),sK42) ),
    inference(cnf_transformation,[],[f168]) ).

fof(f522,plain,
    ( spl60_1
    | spl60_2 ),
    inference(avatar_split_clause,[],[f391,f519,f515]) ).

fof(f391,plain,
    ( ssItem(sK35)
    | ssItem(sK37) ),
    inference(cnf_transformation,[],[f168]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : SWC412+1 : TPTP v8.1.0. Released v2.4.0.
% 0.08/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35  % Computer : n027.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Aug 30 19:09:31 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.21/0.50  % (3262)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.51  % (3262)Instruction limit reached!
% 0.21/0.51  % (3262)------------------------------
% 0.21/0.51  % (3262)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.18/0.51  % (3271)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.18/0.52  % (3278)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 1.18/0.52  % (3262)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.18/0.52  % (3262)Termination reason: Unknown
% 1.18/0.52  % (3262)Termination phase: Property scanning
% 1.18/0.52  
% 1.18/0.52  % (3262)Memory used [KB]: 1279
% 1.18/0.52  % (3262)Time elapsed: 0.006 s
% 1.18/0.52  % (3262)Instructions burned: 8 (million)
% 1.18/0.52  % (3262)------------------------------
% 1.18/0.52  % (3262)------------------------------
% 1.18/0.52  % (3257)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.18/0.52  % (3276)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.18/0.52  % (3269)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.18/0.52  % (3261)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.18/0.52  % (3258)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.18/0.53  % (3266)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.29/0.53  % (3256)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.29/0.53  % (3274)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.29/0.54  % (3277)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.29/0.54  % (3282)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.29/0.54  % (3264)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.29/0.54  % (3267)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.29/0.54  % (3259)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.29/0.54  % (3265)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.29/0.54  % (3268)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.29/0.54  % (3283)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.29/0.54  % (3255)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 1.29/0.55  % (3270)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.29/0.55  % (3284)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.29/0.55  % (3281)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.29/0.55  % (3275)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.29/0.56  % (3280)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.29/0.56  % (3272)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.29/0.56  % (3260)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.29/0.57  % (3279)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.29/0.57  % (3263)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.29/0.57  TRYING [1]
% 1.29/0.58  % (3257)Instruction limit reached!
% 1.29/0.58  % (3257)------------------------------
% 1.29/0.58  % (3257)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.29/0.58  % (3257)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.29/0.58  % (3257)Termination reason: Unknown
% 1.29/0.58  % (3257)Termination phase: Saturation
% 1.29/0.58  
% 1.29/0.58  % (3257)Memory used [KB]: 1791
% 1.29/0.58  % (3257)Time elapsed: 0.169 s
% 1.29/0.58  % (3257)Instructions burned: 37 (million)
% 1.29/0.58  % (3257)------------------------------
% 1.29/0.58  % (3257)------------------------------
% 1.29/0.58  % (3263)Instruction limit reached!
% 1.29/0.58  % (3263)------------------------------
% 1.29/0.58  % (3263)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.29/0.58  % (3263)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.29/0.58  % (3263)Termination reason: Unknown
% 1.29/0.58  % (3263)Termination phase: Preprocessing 3
% 1.29/0.58  
% 1.29/0.58  % (3263)Memory used [KB]: 1151
% 1.29/0.58  % (3263)Time elapsed: 0.003 s
% 1.29/0.58  % (3263)Instructions burned: 3 (million)
% 1.29/0.58  % (3263)------------------------------
% 1.29/0.58  % (3263)------------------------------
% 1.29/0.58  TRYING [2]
% 1.29/0.58  % (3273)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.29/0.58  % (3256)Refutation not found, incomplete strategy% (3256)------------------------------
% 1.29/0.58  % (3256)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.29/0.58  % (3256)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.29/0.58  % (3256)Termination reason: Refutation not found, incomplete strategy
% 1.29/0.58  
% 1.29/0.58  % (3256)Memory used [KB]: 6268
% 1.29/0.58  % (3256)Time elapsed: 0.173 s
% 1.29/0.58  % (3256)Instructions burned: 25 (million)
% 1.29/0.58  % (3256)------------------------------
% 1.29/0.58  % (3256)------------------------------
% 1.29/0.60  % (3261)Instruction limit reached!
% 1.29/0.60  % (3261)------------------------------
% 1.29/0.60  % (3261)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.29/0.60  % (3261)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.29/0.60  % (3261)Termination reason: Unknown
% 1.29/0.60  % (3261)Termination phase: Finite model building SAT solving
% 1.29/0.60  
% 1.29/0.60  % (3261)Memory used [KB]: 7547
% 1.29/0.60  % (3261)Time elapsed: 0.173 s
% 1.29/0.60  % (3261)Instructions burned: 52 (million)
% 1.29/0.60  % (3261)------------------------------
% 1.29/0.60  % (3261)------------------------------
% 1.29/0.62  TRYING [1]
% 1.29/0.62  TRYING [2]
% 1.29/0.62  % (3264)Instruction limit reached!
% 1.29/0.62  % (3264)------------------------------
% 1.29/0.62  % (3264)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.29/0.62  % (3264)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.29/0.62  % (3264)Termination reason: Unknown
% 1.29/0.62  % (3264)Termination phase: Saturation
% 1.29/0.62  
% 1.29/0.62  % (3264)Memory used [KB]: 2302
% 1.29/0.62  % (3264)Time elapsed: 0.167 s
% 1.29/0.62  % (3264)Instructions burned: 52 (million)
% 1.29/0.62  % (3264)------------------------------
% 1.29/0.62  % (3264)------------------------------
% 1.29/0.62  % (3259)Instruction limit reached!
% 1.29/0.62  % (3259)------------------------------
% 1.29/0.62  % (3259)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.29/0.62  % (3259)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.29/0.62  % (3259)Termination reason: Unknown
% 1.29/0.62  % (3259)Termination phase: Saturation
% 1.29/0.62  
% 1.29/0.62  % (3259)Memory used [KB]: 6524
% 1.29/0.62  % (3259)Time elapsed: 0.200 s
% 1.29/0.62  % (3259)Instructions burned: 52 (million)
% 1.29/0.62  % (3259)------------------------------
% 1.29/0.62  % (3259)------------------------------
% 2.06/0.63  TRYING [1]
% 2.06/0.63  TRYING [2]
% 2.06/0.63  % (3258)Instruction limit reached!
% 2.06/0.63  % (3258)------------------------------
% 2.06/0.63  % (3258)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.06/0.63  % (3258)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.06/0.63  % (3258)Termination reason: Unknown
% 2.06/0.63  % (3258)Termination phase: Saturation
% 2.06/0.63  
% 2.06/0.63  % (3258)Memory used [KB]: 6908
% 2.06/0.63  % (3258)Time elapsed: 0.203 s
% 2.06/0.63  % (3258)Instructions burned: 52 (million)
% 2.06/0.63  % (3258)------------------------------
% 2.06/0.63  % (3258)------------------------------
% 2.06/0.64  % (3260)Instruction limit reached!
% 2.06/0.64  % (3260)------------------------------
% 2.06/0.64  % (3260)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.06/0.64  % (3260)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.06/0.64  % (3260)Termination reason: Unknown
% 2.06/0.64  % (3260)Termination phase: Saturation
% 2.06/0.64  
% 2.06/0.64  % (3260)Memory used [KB]: 6396
% 2.06/0.64  % (3260)Time elapsed: 0.217 s
% 2.06/0.64  % (3260)Instructions burned: 49 (million)
% 2.06/0.64  % (3260)------------------------------
% 2.06/0.64  % (3260)------------------------------
% 2.06/0.64  % (3265)Instruction limit reached!
% 2.06/0.64  % (3265)------------------------------
% 2.06/0.64  % (3265)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.06/0.64  % (3265)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.06/0.64  % (3265)Termination reason: Unknown
% 2.06/0.64  % (3265)Termination phase: Saturation
% 2.06/0.64  
% 2.06/0.64  % (3265)Memory used [KB]: 6780
% 2.06/0.64  % (3265)Time elapsed: 0.217 s
% 2.06/0.64  % (3265)Instructions burned: 51 (million)
% 2.06/0.64  % (3265)------------------------------
% 2.06/0.64  % (3265)------------------------------
% 2.06/0.65  % (3271)Instruction limit reached!
% 2.06/0.65  % (3271)------------------------------
% 2.06/0.65  % (3271)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.06/0.65  % (3271)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.06/0.65  % (3271)Termination reason: Unknown
% 2.06/0.65  % (3271)Termination phase: Saturation
% 2.06/0.65  
% 2.06/0.65  % (3271)Memory used [KB]: 6908
% 2.06/0.65  % (3271)Time elapsed: 0.232 s
% 2.06/0.65  % (3271)Instructions burned: 99 (million)
% 2.06/0.65  % (3271)------------------------------
% 2.06/0.65  % (3271)------------------------------
% 2.06/0.66  % (3272)Instruction limit reached!
% 2.06/0.66  % (3272)------------------------------
% 2.06/0.66  % (3272)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.06/0.66  % (3272)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.06/0.66  % (3272)Termination reason: Unknown
% 2.06/0.66  % (3272)Termination phase: Finite model building SAT solving
% 2.06/0.66  
% 2.06/0.66  % (3272)Memory used [KB]: 7419
% 2.06/0.66  % (3272)Time elapsed: 0.224 s
% 2.06/0.66  % (3272)Instructions burned: 60 (million)
% 2.06/0.66  % (3272)------------------------------
% 2.06/0.66  % (3272)------------------------------
% 2.06/0.67  TRYING [3]
% 2.06/0.67  % (3285)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/388Mi)
% 2.06/0.68  % (3281)Instruction limit reached!
% 2.06/0.68  % (3281)------------------------------
% 2.06/0.68  % (3281)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.06/0.68  % (3281)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.06/0.68  % (3281)Termination reason: Unknown
% 2.06/0.68  % (3281)Termination phase: Saturation
% 2.06/0.68  
% 2.06/0.68  % (3281)Memory used [KB]: 7036
% 2.06/0.68  % (3281)Time elapsed: 0.038 s
% 2.06/0.68  % (3281)Instructions burned: 68 (million)
% 2.06/0.68  % (3281)------------------------------
% 2.06/0.68  % (3281)------------------------------
% 2.06/0.68  % (3269)Instruction limit reached!
% 2.06/0.68  % (3269)------------------------------
% 2.06/0.68  % (3269)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.06/0.68  % (3269)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.06/0.68  % (3269)Termination reason: Unknown
% 2.06/0.68  % (3269)Termination phase: Saturation
% 2.06/0.68  
% 2.06/0.68  % (3269)Memory used [KB]: 7036
% 2.06/0.68  % (3269)Time elapsed: 0.054 s
% 2.06/0.68  % (3269)Instructions burned: 68 (million)
% 2.06/0.68  % (3269)------------------------------
% 2.06/0.68  % (3269)------------------------------
% 2.06/0.68  % (3270)Instruction limit reached!
% 2.06/0.68  % (3270)------------------------------
% 2.06/0.68  % (3270)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.06/0.68  % (3270)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.06/0.68  % (3270)Termination reason: Unknown
% 2.06/0.68  % (3270)Termination phase: Saturation
% 2.06/0.68  
% 2.06/0.68  % (3270)Memory used [KB]: 2558
% 2.06/0.68  % (3270)Time elapsed: 0.261 s
% 2.06/0.68  % (3270)Instructions burned: 76 (million)
% 2.06/0.68  % (3270)------------------------------
% 2.06/0.68  % (3270)------------------------------
% 2.06/0.69  % (3274)Instruction limit reached!
% 2.06/0.69  % (3274)------------------------------
% 2.06/0.69  % (3274)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.06/0.69  % (3274)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.06/0.69  % (3274)Termination reason: Unknown
% 2.06/0.69  % (3274)Termination phase: Saturation
% 2.06/0.69  
% 2.06/0.69  % (3274)Memory used [KB]: 2814
% 2.06/0.69  % (3274)Time elapsed: 0.285 s
% 2.06/0.69  % (3274)Instructions burned: 101 (million)
% 2.06/0.69  % (3274)------------------------------
% 2.06/0.69  % (3274)------------------------------
% 2.46/0.70  % (3268)Instruction limit reached!
% 2.46/0.70  % (3268)------------------------------
% 2.46/0.70  % (3268)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.46/0.70  % (3268)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.46/0.70  % (3268)Termination reason: Unknown
% 2.46/0.70  % (3268)Termination phase: Saturation
% 2.46/0.70  
% 2.46/0.70  % (3268)Memory used [KB]: 7419
% 2.46/0.70  % (3268)Time elapsed: 0.257 s
% 2.46/0.70  % (3268)Instructions burned: 101 (million)
% 2.46/0.70  % (3268)------------------------------
% 2.46/0.70  % (3268)------------------------------
% 2.46/0.71  % (3266)Instruction limit reached!
% 2.46/0.71  % (3266)------------------------------
% 2.46/0.71  % (3266)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.46/0.71  % (3266)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.46/0.71  % (3266)Termination reason: Unknown
% 2.46/0.71  % (3266)Termination phase: Saturation
% 2.46/0.71  
% 2.46/0.71  % (3266)Memory used [KB]: 7931
% 2.46/0.71  % (3266)Time elapsed: 0.269 s
% 2.46/0.71  % (3266)Instructions burned: 101 (million)
% 2.46/0.71  % (3266)------------------------------
% 2.46/0.71  % (3266)------------------------------
% 2.46/0.72  % (3288)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/920Mi)
% 2.46/0.73  % (3267)Instruction limit reached!
% 2.46/0.73  % (3267)------------------------------
% 2.46/0.73  % (3267)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.46/0.73  % (3267)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.46/0.73  % (3267)Termination reason: Unknown
% 2.46/0.73  % (3267)Termination phase: Saturation
% 2.46/0.73  
% 2.46/0.73  % (3267)Memory used [KB]: 7547
% 2.46/0.73  % (3267)Time elapsed: 0.321 s
% 2.46/0.73  % (3267)Instructions burned: 102 (million)
% 2.46/0.73  % (3267)------------------------------
% 2.46/0.73  % (3267)------------------------------
% 2.46/0.74  % (3286)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/211Mi)
% 2.46/0.74  % (3289)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/934Mi)
% 2.46/0.74  % (3287)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 2.46/0.76  % (3291)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=655:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/655Mi)
% 2.74/0.77  % (3292)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/68Mi)
% 2.74/0.78  % (3293)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=940:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/940Mi)
% 2.74/0.78  WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 2.74/0.78  % (3295)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 2.74/0.78  % (3276)Instruction limit reached!
% 2.74/0.78  % (3276)------------------------------
% 2.74/0.78  % (3276)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.74/0.78  % (3276)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.74/0.78  % (3276)Termination reason: Unknown
% 2.74/0.78  % (3276)Termination phase: Saturation
% 2.74/0.78  
% 2.74/0.78  % (3276)Memory used [KB]: 7675
% 2.74/0.78  % (3276)Time elapsed: 0.335 s
% 2.74/0.78  % (3276)Instructions burned: 138 (million)
% 2.74/0.78  % (3276)------------------------------
% 2.74/0.78  % (3276)------------------------------
% 2.74/0.79  % (3273)Instruction limit reached!
% 2.74/0.79  % (3273)------------------------------
% 2.74/0.79  % (3273)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.74/0.79  % (3273)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.74/0.79  % (3273)Termination reason: Unknown
% 2.74/0.79  % (3273)Termination phase: Saturation
% 2.74/0.79  
% 2.74/0.79  % (3273)Memory used [KB]: 7291
% 2.74/0.79  % (3273)Time elapsed: 0.375 s
% 2.74/0.79  % (3273)Instructions burned: 102 (million)
% 2.74/0.79  % (3273)------------------------------
% 2.74/0.79  % (3273)------------------------------
% 2.74/0.79  % (3294)ott+11_4:1_br=off:fde=none:s2a=on:sd=2:sp=frequency:urr=on:i=981:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/981Mi)
% 2.85/0.80  % (3290)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/747Mi)
% 2.85/0.80  % (3296)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/2016Mi)
% 2.85/0.81  % (3299)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=4959:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4959Mi)
% 2.85/0.82  % (3297)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/3735Mi)
% 2.85/0.83  % (3300)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4756Mi)
% 2.91/0.83  TRYING [4]
% 2.91/0.83  % (3282)Instruction limit reached!
% 2.91/0.83  % (3282)------------------------------
% 2.91/0.83  % (3282)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.91/0.83  % (3282)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.91/0.83  % (3282)Termination reason: Unknown
% 2.91/0.83  % (3282)Termination phase: Saturation
% 2.91/0.83  
% 2.91/0.83  % (3282)Memory used [KB]: 3709
% 2.91/0.83  % (3282)Time elapsed: 0.421 s
% 2.91/0.83  % (3282)Instructions burned: 179 (million)
% 2.91/0.83  % (3282)------------------------------
% 2.91/0.83  % (3282)------------------------------
% 2.91/0.84  % (3302)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/68Mi)
% 2.91/0.86  % (3275)Instruction limit reached!
% 2.91/0.86  % (3275)------------------------------
% 2.91/0.86  % (3275)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.91/0.86  % (3275)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.91/0.86  % (3275)Termination reason: Unknown
% 2.91/0.86  % (3275)Termination phase: Saturation
% 2.91/0.86  
% 2.91/0.86  % (3275)Memory used [KB]: 7036
% 2.91/0.86  % (3275)Time elapsed: 0.426 s
% 2.91/0.86  % (3275)Instructions burned: 176 (million)
% 2.91/0.86  % (3275)------------------------------
% 2.91/0.86  % (3275)------------------------------
% 2.91/0.86  % (3298)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4958Mi)
% 2.91/0.86  % (3303)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/1824Mi)
% 2.91/0.87  % (3301)ott+3_1:1_atotf=0.2:fsr=off:kws=precedence:sp=weighted_frequency:spb=intro:tgt=ground:i=4931:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4931Mi)
% 2.91/0.89  % (3287)Instruction limit reached!
% 2.91/0.89  % (3287)------------------------------
% 2.91/0.89  % (3287)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.91/0.89  % (3287)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.91/0.89  % (3287)Termination reason: Unknown
% 2.91/0.89  % (3287)Termination phase: Saturation
% 2.91/0.89  
% 2.91/0.89  % (3287)Memory used [KB]: 7419
% 2.91/0.89  % (3287)Time elapsed: 0.273 s
% 2.91/0.89  % (3287)Instructions burned: 90 (million)
% 2.91/0.89  % (3287)------------------------------
% 2.91/0.89  % (3287)------------------------------
% 2.91/0.90  % (3292)Instruction limit reached!
% 2.91/0.90  % (3292)------------------------------
% 2.91/0.90  % (3292)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.91/0.90  % (3292)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.91/0.90  % (3292)Termination reason: Unknown
% 2.91/0.90  % (3292)Termination phase: Saturation
% 2.91/0.90  
% 2.91/0.90  % (3292)Memory used [KB]: 6908
% 2.91/0.90  % (3292)Time elapsed: 0.037 s
% 2.91/0.90  % (3292)Instructions burned: 68 (million)
% 2.91/0.90  % (3292)------------------------------
% 2.91/0.90  % (3292)------------------------------
% 2.91/0.92  % (3304)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=2134:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/2134Mi)
% 3.26/0.93  % (3305)ott-1_1:1_sp=const_frequency:i=2891:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/2891Mi)
% 3.26/0.95  % (3302)Instruction limit reached!
% 3.26/0.95  % (3302)------------------------------
% 3.26/0.95  % (3302)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.26/0.95  % (3302)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.26/0.95  % (3302)Termination reason: Unknown
% 3.26/0.95  % (3302)Termination phase: Saturation
% 3.26/0.95  
% 3.26/0.95  % (3302)Memory used [KB]: 7036
% 3.26/0.95  % (3302)Time elapsed: 0.037 s
% 3.26/0.95  % (3302)Instructions burned: 68 (million)
% 3.26/0.95  % (3302)------------------------------
% 3.26/0.95  % (3302)------------------------------
% 3.26/0.98  % (3295)Instruction limit reached!
% 3.26/0.98  % (3295)------------------------------
% 3.26/0.98  % (3295)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.26/0.98  % (3295)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.26/0.98  % (3295)Termination reason: Unknown
% 3.26/0.98  % (3295)Termination phase: Saturation
% 3.26/0.98  
% 3.26/0.98  % (3295)Memory used [KB]: 7164
% 3.26/0.98  % (3295)Time elapsed: 0.217 s
% 3.26/0.98  % (3295)Instructions burned: 90 (million)
% 3.26/0.98  % (3295)------------------------------
% 3.26/0.98  % (3295)------------------------------
% 3.26/0.99  % (3306)dis+2_1:64_add=large:bce=on:bd=off:i=4585:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4585Mi)
% 3.59/1.01  % (3307)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/90Mi)
% 3.59/1.03  % (3308)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/2016Mi)
% 3.59/1.03  % (3309)dis+10_1:2_atotf=0.3:i=8004:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/8004Mi)
% 5.63/1.10  % (3286)Instruction limit reached!
% 5.63/1.10  % (3286)------------------------------
% 5.63/1.10  % (3286)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.63/1.10  % (3286)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.63/1.10  % (3286)Termination reason: Unknown
% 5.63/1.10  % (3286)Termination phase: Saturation
% 5.63/1.10  
% 5.63/1.10  % (3286)Memory used [KB]: 4221
% 5.63/1.10  % (3286)Time elapsed: 0.489 s
% 5.63/1.10  % (3286)Instructions burned: 211 (million)
% 5.63/1.10  % (3286)------------------------------
% 5.63/1.10  % (3286)------------------------------
% 5.89/1.12  % (3310)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=9965:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/9965Mi)
% 6.11/1.15  % (3307)Instruction limit reached!
% 6.11/1.15  % (3307)------------------------------
% 6.11/1.15  % (3307)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.11/1.15  % (3307)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.11/1.15  % (3307)Termination reason: Unknown
% 6.11/1.15  % (3307)Termination phase: Saturation
% 6.11/1.15  
% 6.11/1.15  % (3307)Memory used [KB]: 7931
% 6.11/1.15  % (3307)Time elapsed: 0.277 s
% 6.11/1.15  % (3307)Instructions burned: 90 (million)
% 6.11/1.15  % (3307)------------------------------
% 6.11/1.15  % (3307)------------------------------
% 6.11/1.18  % (3311)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=9877:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/9877Mi)
% 6.11/1.21  % (3284)Instruction limit reached!
% 6.11/1.21  % (3284)------------------------------
% 6.11/1.21  % (3284)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.11/1.21  % (3284)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.11/1.21  % (3284)Termination reason: Unknown
% 6.11/1.21  % (3284)Termination phase: Saturation
% 6.11/1.21  
% 6.11/1.21  % (3284)Memory used [KB]: 11129
% 6.11/1.21  % (3284)Time elapsed: 0.612 s
% 6.11/1.21  % (3284)Instructions burned: 355 (million)
% 6.11/1.21  % (3284)------------------------------
% 6.11/1.21  % (3284)------------------------------
% 6.79/1.23  % (3312)ins+10_1:16_bce=on:fde=unused:igpr=on:igs=35:igwr=on:sp=const_frequency:tgt=full:to=lpo:i=9902:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/9902Mi)
% 6.79/1.25  TRYING [5]
% 6.79/1.28  % (3303)First to succeed.
% 7.20/1.29  % (3313)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/1824Mi)
% 7.20/1.31  % (3303)Refutation found. Thanks to Tanya!
% 7.20/1.31  % SZS status Theorem for theBenchmark
% 7.20/1.31  % SZS output start Proof for theBenchmark
% See solution above
% 7.20/1.32  % (3303)------------------------------
% 7.20/1.32  % (3303)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.20/1.32  % (3303)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.20/1.32  % (3303)Termination reason: Refutation
% 7.20/1.32  
% 7.20/1.32  % (3303)Memory used [KB]: 2302
% 7.20/1.32  % (3303)Time elapsed: 0.531 s
% 7.20/1.32  % (3303)Instructions burned: 296 (million)
% 7.20/1.32  % (3303)------------------------------
% 7.20/1.32  % (3303)------------------------------
% 7.20/1.32  % (3254)Success in time 0.953 s
%------------------------------------------------------------------------------