TSTP Solution File: SWC364-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWC364-1 : 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 : n017.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 18:43:23 EDT 2022

% Result   : Unsatisfiable 6.82s 1.45s
% Output   : Refutation 6.82s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :  175
% Syntax   : Number of formulae    :  476 (  41 unt;   0 def)
%            Number of atoms       : 1382 ( 171 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives : 1686 ( 780   ~; 780   |;   0   &)
%                                         ( 126 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :  140 ( 138 usr; 127 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   8 con; 0-2 aty)
%            Number of variables   :  152 ( 152   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1214,plain,
    $false,
    inference(avatar_smt_refutation,[],[f243,f248,f257,f262,f267,f272,f277,f285,f290,f295,f300,f305,f309,f314,f321,f326,f327,f328,f329,f330,f335,f340,f341,f348,f349,f355,f356,f357,f358,f365,f370,f377,f382,f418,f435,f469,f475,f490,f495,f500,f513,f518,f523,f534,f539,f544,f549,f559,f573,f578,f583,f588,f602,f607,f612,f617,f628,f632,f644,f649,f654,f655,f660,f665,f670,f674,f691,f696,f701,f706,f712,f725,f730,f735,f740,f745,f750,f756,f765,f770,f775,f795,f800,f805,f810,f815,f820,f832,f847,f862,f885,f889,f890,f895,f896,f917,f922,f926,f958,f959,f963,f964,f965,f984,f989,f994,f999,f1004,f1009,f1030,f1036,f1041,f1046,f1051,f1056,f1076,f1081,f1086,f1091,f1096,f1101,f1110,f1120,f1131,f1158,f1163,f1168,f1173,f1178,f1179,f1183,f1189,f1194,f1207,f1208,f1213]) ).

fof(f1213,plain,
    ( spl0_126
    | ~ spl0_18
    | ~ spl0_43
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f1200,f626,f546,f323,f1210]) ).

fof(f1210,plain,
    ( spl0_126
  <=> segmentP(app(sk3,sk3),sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f323,plain,
    ( spl0_18
  <=> ssList(sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f546,plain,
    ( spl0_43
  <=> ssList(app(sk3,sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f626,plain,
    ( spl0_53
  <=> ! [X4] :
        ( ~ ssList(X4)
        | ~ ssList(app(X4,sk3))
        | segmentP(app(X4,sk3),sk3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f1200,plain,
    ( ~ ssList(sk3)
    | segmentP(app(sk3,sk3),sk3)
    | ~ spl0_43
    | ~ spl0_53 ),
    inference(resolution,[],[f627,f548]) ).

fof(f548,plain,
    ( ssList(app(sk3,sk3))
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f546]) ).

fof(f627,plain,
    ( ! [X4] :
        ( ~ ssList(app(X4,sk3))
        | segmentP(app(X4,sk3),sk3)
        | ~ ssList(X4) )
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f626]) ).

fof(f1208,plain,
    ( ~ spl0_29
    | spl0_14
    | ~ spl0_12
    | ~ spl0_4
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f1202,f626,f254,f292,f302,f411]) ).

fof(f411,plain,
    ( spl0_29
  <=> ssList(cons(sk5,nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f302,plain,
    ( spl0_14
  <=> segmentP(sk4,sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f292,plain,
    ( spl0_12
  <=> ssList(sk4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f254,plain,
    ( spl0_4
  <=> sk4 = app(cons(sk5,nil),sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f1202,plain,
    ( ~ ssList(sk4)
    | segmentP(sk4,sk3)
    | ~ ssList(cons(sk5,nil))
    | ~ spl0_4
    | ~ spl0_53 ),
    inference(superposition,[],[f627,f256]) ).

fof(f256,plain,
    ( sk4 = app(cons(sk5,nil),sk3)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f254]) ).

fof(f1207,plain,
    ( spl0_125
    | ~ spl0_12
    | ~ spl0_32
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f1199,f626,f466,f292,f1204]) ).

fof(f1204,plain,
    ( spl0_125
  <=> segmentP(app(sk4,sk3),sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f466,plain,
    ( spl0_32
  <=> ssList(app(sk4,sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f1199,plain,
    ( ~ ssList(sk4)
    | segmentP(app(sk4,sk3),sk3)
    | ~ spl0_32
    | ~ spl0_53 ),
    inference(resolution,[],[f627,f468]) ).

fof(f468,plain,
    ( ssList(app(sk4,sk3))
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f466]) ).

fof(f1194,plain,
    ( spl0_124
    | ~ spl0_29
    | ~ spl0_58
    | ~ spl0_61
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f1146,f747,f672,f657,f411,f1191]) ).

fof(f1191,plain,
    ( spl0_124
  <=> segmentP(cons(sk5,sk4),cons(sk5,nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f657,plain,
    ( spl0_58
  <=> ssList(cons(sk5,sk4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f672,plain,
    ( spl0_61
  <=> ! [X3] :
        ( segmentP(app(X3,sk4),cons(sk5,nil))
        | ~ ssList(app(X3,sk4))
        | ~ ssList(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f747,plain,
    ( spl0_72
  <=> app(cons(sk5,nil),sk4) = cons(sk5,sk4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f1146,plain,
    ( ~ ssList(cons(sk5,sk4))
    | ~ ssList(cons(sk5,nil))
    | segmentP(cons(sk5,sk4),cons(sk5,nil))
    | ~ spl0_61
    | ~ spl0_72 ),
    inference(superposition,[],[f673,f749]) ).

fof(f749,plain,
    ( app(cons(sk5,nil),sk4) = cons(sk5,sk4)
    | ~ spl0_72 ),
    inference(avatar_component_clause,[],[f747]) ).

fof(f673,plain,
    ( ! [X3] :
        ( ~ ssList(app(X3,sk4))
        | ~ ssList(X3)
        | segmentP(app(X3,sk4),cons(sk5,nil)) )
    | ~ spl0_61 ),
    inference(avatar_component_clause,[],[f672]) ).

fof(f1189,plain,
    ( spl0_123
    | ~ spl0_29
    | ~ spl0_5
    | ~ spl0_12
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f1185,f747,f292,f259,f411,f1187]) ).

fof(f1187,plain,
    ( spl0_123
  <=> ! [X0] :
        ( ~ ssList(X0)
        | cons(sk5,sk4) != cons(sk5,X0)
        | sk4 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f259,plain,
    ( spl0_5
  <=> ssItem(sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f1185,plain,
    ( ! [X0] :
        ( ~ ssList(cons(sk5,nil))
        | ~ ssList(X0)
        | sk4 = X0
        | cons(sk5,sk4) != cons(sk5,X0) )
    | ~ spl0_5
    | ~ spl0_12
    | ~ spl0_72 ),
    inference(forward_subsumption_demodulation,[],[f1145,f421]) ).

fof(f421,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | app(cons(sk5,nil),X0) = cons(sk5,X0) )
    | ~ spl0_5 ),
    inference(resolution,[],[f120,f261]) ).

fof(f261,plain,
    ( ssItem(sk5)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f259]) ).

fof(f120,axiom,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | ~ ssList(X1)
      | cons(X0,X1) = app(cons(X0,nil),X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).

fof(f1145,plain,
    ( ! [X0] :
        ( sk4 = X0
        | ~ ssList(cons(sk5,nil))
        | cons(sk5,sk4) != app(cons(sk5,nil),X0)
        | ~ ssList(X0) )
    | ~ spl0_12
    | ~ spl0_72 ),
    inference(superposition,[],[f436,f749]) ).

fof(f436,plain,
    ( ! [X0,X1] :
        ( app(X0,X1) != app(X0,sk4)
        | ~ ssList(X0)
        | ~ ssList(X1)
        | sk4 = X1 )
    | ~ spl0_12 ),
    inference(resolution,[],[f150,f294]) ).

fof(f294,plain,
    ( ssList(sk4)
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f292]) ).

fof(f150,axiom,
    ! [X2,X0,X1] :
      ( ~ ssList(X2)
      | app(X0,X1) != app(X0,X2)
      | ~ ssList(X0)
      | ~ ssList(X1)
      | X1 = X2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause150) ).

fof(f1183,plain,
    ( spl0_122
    | ~ spl0_29
    | ~ spl0_12
    | ~ spl0_44
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f1154,f747,f557,f292,f411,f1181]) ).

fof(f1181,plain,
    ( spl0_122
  <=> ! [X2] :
        ( ~ ssList(X2)
        | segmentP(app(X2,cons(sk5,sk4)),nil) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f557,plain,
    ( spl0_44
  <=> ! [X2,X0,X1] :
        ( segmentP(app(X1,app(X0,X2)),nil)
        | ~ ssList(X0)
        | ~ ssList(X1)
        | ~ ssList(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f1154,plain,
    ( ! [X2] :
        ( ~ ssList(sk4)
        | ~ ssList(cons(sk5,nil))
        | ~ ssList(X2)
        | segmentP(app(X2,cons(sk5,sk4)),nil) )
    | ~ spl0_44
    | ~ spl0_72 ),
    inference(superposition,[],[f558,f749]) ).

fof(f558,plain,
    ( ! [X2,X0,X1] :
        ( segmentP(app(X1,app(X0,X2)),nil)
        | ~ ssList(X1)
        | ~ ssList(X2)
        | ~ ssList(X0) )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f557]) ).

fof(f1179,plain,
    ( spl0_30
    | ~ spl0_12
    | ~ spl0_29
    | ~ spl0_118
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f1147,f747,f1160,f411,f292,f415]) ).

fof(f415,plain,
    ( spl0_30
  <=> nil = cons(sk5,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f1160,plain,
    ( spl0_118
  <=> nil = cons(sk5,sk4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f1147,plain,
    ( nil != cons(sk5,sk4)
    | ~ ssList(cons(sk5,nil))
    | ~ ssList(sk4)
    | nil = cons(sk5,nil)
    | ~ spl0_72 ),
    inference(superposition,[],[f118,f749]) ).

fof(f118,axiom,
    ! [X0,X1] :
      ( nil != app(X0,X1)
      | ~ ssList(X0)
      | nil = X0
      | ~ ssList(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).

fof(f1178,plain,
    ( ~ spl0_29
    | ~ spl0_12
    | spl0_85
    | ~ spl0_121
    | ~ spl0_12
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f1152,f747,f292,f1175,f844,f292,f411]) ).

fof(f844,plain,
    ( spl0_85
  <=> sk4 = cons(sk5,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f1175,plain,
    ( spl0_121
  <=> cons(sk5,sk4) = app(sk4,sk4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f1152,plain,
    ( cons(sk5,sk4) != app(sk4,sk4)
    | sk4 = cons(sk5,nil)
    | ~ ssList(sk4)
    | ~ ssList(cons(sk5,nil))
    | ~ spl0_12
    | ~ spl0_72 ),
    inference(superposition,[],[f442,f749]) ).

fof(f442,plain,
    ( ! [X0,X1] :
        ( app(X0,X1) != app(sk4,X1)
        | ~ ssList(X0)
        | sk4 = X0
        | ~ ssList(X1) )
    | ~ spl0_12 ),
    inference(resolution,[],[f151,f294]) ).

fof(f151,axiom,
    ! [X2,X0,X1] :
      ( ~ ssList(X2)
      | app(X0,X1) != app(X2,X1)
      | X0 = X2
      | ~ ssList(X0)
      | ~ ssList(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause151) ).

fof(f1173,plain,
    ( ~ spl0_29
    | spl0_120
    | ~ spl0_72
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f1144,f956,f747,f1170,f411]) ).

fof(f1170,plain,
    ( spl0_120
  <=> segmentP(cons(sk5,sk4),nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f956,plain,
    ( spl0_94
  <=> ! [X1] :
        ( ~ ssList(X1)
        | segmentP(app(X1,sk4),nil) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f1144,plain,
    ( segmentP(cons(sk5,sk4),nil)
    | ~ ssList(cons(sk5,nil))
    | ~ spl0_72
    | ~ spl0_94 ),
    inference(superposition,[],[f957,f749]) ).

fof(f957,plain,
    ( ! [X1] :
        ( segmentP(app(X1,sk4),nil)
        | ~ ssList(X1) )
    | ~ spl0_94 ),
    inference(avatar_component_clause,[],[f956]) ).

fof(f1168,plain,
    ( ~ spl0_12
    | spl0_87
    | ~ spl0_29
    | ~ spl0_119
    | ~ spl0_18
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f1153,f747,f323,f1165,f411,f859,f292]) ).

fof(f859,plain,
    ( spl0_87
  <=> sk3 = cons(sk5,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f1165,plain,
    ( spl0_119
  <=> cons(sk5,sk4) = app(sk3,sk4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f1153,plain,
    ( cons(sk5,sk4) != app(sk3,sk4)
    | ~ ssList(cons(sk5,nil))
    | sk3 = cons(sk5,nil)
    | ~ ssList(sk4)
    | ~ spl0_18
    | ~ spl0_72 ),
    inference(superposition,[],[f443,f749]) ).

fof(f443,plain,
    ( ! [X2,X3] :
        ( app(sk3,X3) != app(X2,X3)
        | sk3 = X2
        | ~ ssList(X2)
        | ~ ssList(X3) )
    | ~ spl0_18 ),
    inference(resolution,[],[f151,f325]) ).

fof(f325,plain,
    ( ssList(sk3)
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f323]) ).

fof(f1163,plain,
    ( ~ spl0_12
    | spl0_28
    | ~ spl0_118
    | ~ spl0_29
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f1148,f747,f411,f1160,f407,f292]) ).

fof(f407,plain,
    ( spl0_28
  <=> nil = sk4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f1148,plain,
    ( ~ ssList(cons(sk5,nil))
    | nil != cons(sk5,sk4)
    | nil = sk4
    | ~ ssList(sk4)
    | ~ spl0_72 ),
    inference(superposition,[],[f119,f749]) ).

fof(f119,axiom,
    ! [X0,X1] :
      ( nil != app(X0,X1)
      | nil = X1
      | ~ ssList(X0)
      | ~ ssList(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).

fof(f1158,plain,
    ( ~ spl0_12
    | spl0_117
    | ~ spl0_29
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f1149,f747,f411,f1156,f292]) ).

fof(f1156,plain,
    ( spl0_117
  <=> ! [X1] :
        ( ~ ssList(X1)
        | ~ ssList(app(X1,cons(sk5,sk4)))
        | segmentP(app(X1,cons(sk5,sk4)),cons(sk5,nil)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f1149,plain,
    ( ! [X1] :
        ( ~ ssList(cons(sk5,nil))
        | ~ ssList(X1)
        | segmentP(app(X1,cons(sk5,sk4)),cons(sk5,nil))
        | ~ ssList(sk4)
        | ~ ssList(app(X1,cons(sk5,sk4))) )
    | ~ spl0_72 ),
    inference(superposition,[],[f316,f749]) ).

fof(f316,plain,
    ! [X2,X0,X1] :
      ( ~ ssList(app(X0,app(X1,X2)))
      | ~ ssList(X1)
      | ~ ssList(X0)
      | segmentP(app(X0,app(X1,X2)),X1)
      | ~ ssList(X2) ),
    inference(forward_subsumption_demodulation,[],[f315,f149]) ).

fof(f149,axiom,
    ! [X2,X0,X1] :
      ( ~ ssList(X2)
      | ~ ssList(X1)
      | app(app(X2,X1),X0) = app(X2,app(X1,X0))
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause149) ).

fof(f315,plain,
    ! [X2,X0,X1] :
      ( ~ ssList(X1)
      | ~ ssList(X0)
      | ~ ssList(X2)
      | ~ ssList(app(app(X0,X1),X2))
      | segmentP(app(X0,app(X1,X2)),X1) ),
    inference(forward_subsumption_demodulation,[],[f227,f149]) ).

fof(f227,plain,
    ! [X2,X0,X1] :
      ( ~ ssList(X1)
      | segmentP(app(app(X0,X1),X2),X1)
      | ~ ssList(X2)
      | ~ ssList(X0)
      | ~ ssList(app(app(X0,X1),X2)) ),
    inference(equality_resolution,[],[f173]) ).

fof(f173,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ ssList(X1)
      | ~ ssList(X0)
      | segmentP(X3,X1)
      | ~ ssList(X2)
      | app(app(X0,X1),X2) != X3
      | ~ ssList(X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause173) ).

fof(f1131,plain,
    ( ~ spl0_10
    | ~ spl0_29
    | spl0_116
    | ~ spl0_44
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f1126,f698,f557,f1129,f411,f282]) ).

fof(f282,plain,
    ( spl0_10
  <=> ssList(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f1129,plain,
    ( spl0_116
  <=> ! [X1] :
        ( ~ ssList(X1)
        | segmentP(app(X1,cons(sk5,nil)),nil) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f698,plain,
    ( spl0_64
  <=> cons(sk5,nil) = app(cons(sk5,nil),nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f1126,plain,
    ( ! [X1] :
        ( ~ ssList(X1)
        | ~ ssList(cons(sk5,nil))
        | segmentP(app(X1,cons(sk5,nil)),nil)
        | ~ ssList(nil) )
    | ~ spl0_44
    | ~ spl0_64 ),
    inference(superposition,[],[f558,f700]) ).

fof(f700,plain,
    ( cons(sk5,nil) = app(cons(sk5,nil),nil)
    | ~ spl0_64 ),
    inference(avatar_component_clause,[],[f698]) ).

fof(f1120,plain,
    ( ~ spl0_10
    | spl0_115
    | ~ spl0_27
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f1114,f961,f379,f1117,f282]) ).

fof(f1117,plain,
    ( spl0_115
  <=> segmentP(sk3,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f379,plain,
    ( spl0_27
  <=> sk3 = app(nil,sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f961,plain,
    ( spl0_95
  <=> ! [X2] :
        ( segmentP(app(X2,sk3),nil)
        | ~ ssList(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f1114,plain,
    ( segmentP(sk3,nil)
    | ~ ssList(nil)
    | ~ spl0_27
    | ~ spl0_95 ),
    inference(superposition,[],[f962,f381]) ).

fof(f381,plain,
    ( sk3 = app(nil,sk3)
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f379]) ).

fof(f962,plain,
    ( ! [X2] :
        ( segmentP(app(X2,sk3),nil)
        | ~ ssList(X2) )
    | ~ spl0_95 ),
    inference(avatar_component_clause,[],[f961]) ).

fof(f1110,plain,
    ( spl0_114
    | ~ spl0_10
    | ~ spl0_26
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f1105,f956,f374,f282,f1107]) ).

fof(f1107,plain,
    ( spl0_114
  <=> segmentP(sk4,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f374,plain,
    ( spl0_26
  <=> sk4 = app(nil,sk4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f1105,plain,
    ( ~ ssList(nil)
    | segmentP(sk4,nil)
    | ~ spl0_26
    | ~ spl0_94 ),
    inference(superposition,[],[f957,f376]) ).

fof(f376,plain,
    ( sk4 = app(nil,sk4)
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f374]) ).

fof(f1101,plain,
    ( spl0_113
    | ~ spl0_5
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f1068,f709,f259,f1098]) ).

fof(f1098,plain,
    ( spl0_113
  <=> cons(sk5,app(sk3,cons(sk5,nil))) = app(cons(sk5,nil),app(sk3,cons(sk5,nil))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f709,plain,
    ( spl0_66
  <=> ssList(app(sk3,cons(sk5,nil))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f1068,plain,
    ( cons(sk5,app(sk3,cons(sk5,nil))) = app(cons(sk5,nil),app(sk3,cons(sk5,nil)))
    | ~ spl0_5
    | ~ spl0_66 ),
    inference(resolution,[],[f711,f421]) ).

fof(f711,plain,
    ( ssList(app(sk3,cons(sk5,nil)))
    | ~ spl0_66 ),
    inference(avatar_component_clause,[],[f709]) ).

fof(f1096,plain,
    ( spl0_112
    | ~ spl0_5
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f1067,f709,f259,f1093]) ).

fof(f1093,plain,
    ( spl0_112
  <=> ssList(cons(sk5,app(sk3,cons(sk5,nil)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f1067,plain,
    ( ssList(cons(sk5,app(sk3,cons(sk5,nil))))
    | ~ spl0_5
    | ~ spl0_66 ),
    inference(resolution,[],[f711,f393]) ).

fof(f393,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | ssList(cons(sk5,X0)) )
    | ~ spl0_5 ),
    inference(resolution,[],[f86,f261]) ).

fof(f86,axiom,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | ~ ssList(X1)
      | ssList(cons(X0,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).

fof(f1091,plain,
    ( spl0_111
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f1059,f709,f1088]) ).

fof(f1088,plain,
    ( spl0_111
  <=> app(nil,app(sk3,cons(sk5,nil))) = app(sk3,cons(sk5,nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f1059,plain,
    ( app(nil,app(sk3,cons(sk5,nil))) = app(sk3,cons(sk5,nil))
    | ~ spl0_66 ),
    inference(resolution,[],[f711,f74]) ).

fof(f74,axiom,
    ! [X0] :
      ( ~ ssList(X0)
      | app(nil,X0) = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).

fof(f1086,plain,
    ( spl0_110
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f1058,f709,f1083]) ).

fof(f1083,plain,
    ( spl0_110
  <=> app(sk3,cons(sk5,nil)) = app(app(sk3,cons(sk5,nil)),nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f1058,plain,
    ( app(sk3,cons(sk5,nil)) = app(app(sk3,cons(sk5,nil)),nil)
    | ~ spl0_66 ),
    inference(resolution,[],[f711,f73]) ).

fof(f73,axiom,
    ! [X0] :
      ( ~ ssList(X0)
      | app(X0,nil) = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).

fof(f1081,plain,
    ( spl0_109
    | ~ spl0_12
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f1065,f709,f292,f1078]) ).

fof(f1078,plain,
    ( spl0_109
  <=> ssList(app(sk4,app(sk3,cons(sk5,nil)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f1065,plain,
    ( ssList(app(sk4,app(sk3,cons(sk5,nil))))
    | ~ spl0_12
    | ~ spl0_66 ),
    inference(resolution,[],[f711,f387]) ).

fof(f387,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | ssList(app(sk4,X0)) )
    | ~ spl0_12 ),
    inference(resolution,[],[f85,f294]) ).

fof(f85,axiom,
    ! [X0,X1] :
      ( ~ ssList(X1)
      | ~ ssList(X0)
      | ssList(app(X1,X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).

fof(f1076,plain,
    ( spl0_108
    | ~ spl0_18
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f1066,f709,f323,f1073]) ).

fof(f1073,plain,
    ( spl0_108
  <=> ssList(app(sk3,app(sk3,cons(sk5,nil)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f1066,plain,
    ( ssList(app(sk3,app(sk3,cons(sk5,nil))))
    | ~ spl0_18
    | ~ spl0_66 ),
    inference(resolution,[],[f711,f388]) ).

fof(f388,plain,
    ( ! [X1] :
        ( ~ ssList(X1)
        | ssList(app(sk3,X1)) )
    | ~ spl0_18 ),
    inference(resolution,[],[f85,f325]) ).

fof(f1056,plain,
    ( spl0_107
    | ~ spl0_12
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f1017,f693,f292,f1053]) ).

fof(f1053,plain,
    ( spl0_107
  <=> ssList(app(sk4,app(sk4,cons(sk5,nil)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f693,plain,
    ( spl0_63
  <=> ssList(app(sk4,cons(sk5,nil))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f1017,plain,
    ( ssList(app(sk4,app(sk4,cons(sk5,nil))))
    | ~ spl0_12
    | ~ spl0_63 ),
    inference(resolution,[],[f695,f387]) ).

fof(f695,plain,
    ( ssList(app(sk4,cons(sk5,nil)))
    | ~ spl0_63 ),
    inference(avatar_component_clause,[],[f693]) ).

fof(f1051,plain,
    ( spl0_106
    | ~ spl0_5
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f1019,f693,f259,f1048]) ).

fof(f1048,plain,
    ( spl0_106
  <=> ssList(cons(sk5,app(sk4,cons(sk5,nil)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f1019,plain,
    ( ssList(cons(sk5,app(sk4,cons(sk5,nil))))
    | ~ spl0_5
    | ~ spl0_63 ),
    inference(resolution,[],[f695,f393]) ).

fof(f1046,plain,
    ( spl0_105
    | ~ spl0_18
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f1018,f693,f323,f1043]) ).

fof(f1043,plain,
    ( spl0_105
  <=> ssList(app(sk3,app(sk4,cons(sk5,nil)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f1018,plain,
    ( ssList(app(sk3,app(sk4,cons(sk5,nil))))
    | ~ spl0_18
    | ~ spl0_63 ),
    inference(resolution,[],[f695,f388]) ).

fof(f1041,plain,
    ( spl0_104
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f1010,f693,f1038]) ).

fof(f1038,plain,
    ( spl0_104
  <=> app(app(sk4,cons(sk5,nil)),nil) = app(sk4,cons(sk5,nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f1010,plain,
    ( app(app(sk4,cons(sk5,nil)),nil) = app(sk4,cons(sk5,nil))
    | ~ spl0_63 ),
    inference(resolution,[],[f695,f73]) ).

fof(f1036,plain,
    ( spl0_103
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f1011,f693,f1033]) ).

fof(f1033,plain,
    ( spl0_103
  <=> app(nil,app(sk4,cons(sk5,nil))) = app(sk4,cons(sk5,nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f1011,plain,
    ( app(nil,app(sk4,cons(sk5,nil))) = app(sk4,cons(sk5,nil))
    | ~ spl0_63 ),
    inference(resolution,[],[f695,f74]) ).

fof(f1030,plain,
    ( spl0_102
    | ~ spl0_5
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f1020,f693,f259,f1027]) ).

fof(f1027,plain,
    ( spl0_102
  <=> cons(sk5,app(sk4,cons(sk5,nil))) = app(cons(sk5,nil),app(sk4,cons(sk5,nil))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f1020,plain,
    ( cons(sk5,app(sk4,cons(sk5,nil))) = app(cons(sk5,nil),app(sk4,cons(sk5,nil)))
    | ~ spl0_5
    | ~ spl0_63 ),
    inference(resolution,[],[f695,f421]) ).

fof(f1009,plain,
    ( spl0_101
    | ~ spl0_5
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f975,f688,f259,f1006]) ).

fof(f1006,plain,
    ( spl0_101
  <=> ssList(cons(sk5,cons(sk5,cons(sk5,nil)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f688,plain,
    ( spl0_62
  <=> ssList(cons(sk5,cons(sk5,nil))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f975,plain,
    ( ssList(cons(sk5,cons(sk5,cons(sk5,nil))))
    | ~ spl0_5
    | ~ spl0_62 ),
    inference(resolution,[],[f690,f393]) ).

fof(f690,plain,
    ( ssList(cons(sk5,cons(sk5,nil)))
    | ~ spl0_62 ),
    inference(avatar_component_clause,[],[f688]) ).

fof(f1004,plain,
    ( spl0_100
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f967,f688,f1001]) ).

fof(f1001,plain,
    ( spl0_100
  <=> cons(sk5,cons(sk5,nil)) = app(nil,cons(sk5,cons(sk5,nil))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f967,plain,
    ( cons(sk5,cons(sk5,nil)) = app(nil,cons(sk5,cons(sk5,nil)))
    | ~ spl0_62 ),
    inference(resolution,[],[f690,f74]) ).

fof(f999,plain,
    ( spl0_99
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f966,f688,f996]) ).

fof(f996,plain,
    ( spl0_99
  <=> cons(sk5,cons(sk5,nil)) = app(cons(sk5,cons(sk5,nil)),nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f966,plain,
    ( cons(sk5,cons(sk5,nil)) = app(cons(sk5,cons(sk5,nil)),nil)
    | ~ spl0_62 ),
    inference(resolution,[],[f690,f73]) ).

fof(f994,plain,
    ( spl0_98
    | ~ spl0_12
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f973,f688,f292,f991]) ).

fof(f991,plain,
    ( spl0_98
  <=> ssList(app(sk4,cons(sk5,cons(sk5,nil)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f973,plain,
    ( ssList(app(sk4,cons(sk5,cons(sk5,nil))))
    | ~ spl0_12
    | ~ spl0_62 ),
    inference(resolution,[],[f690,f387]) ).

fof(f989,plain,
    ( spl0_97
    | ~ spl0_5
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f976,f688,f259,f986]) ).

fof(f986,plain,
    ( spl0_97
  <=> cons(sk5,cons(sk5,cons(sk5,nil))) = app(cons(sk5,nil),cons(sk5,cons(sk5,nil))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f976,plain,
    ( cons(sk5,cons(sk5,cons(sk5,nil))) = app(cons(sk5,nil),cons(sk5,cons(sk5,nil)))
    | ~ spl0_5
    | ~ spl0_62 ),
    inference(resolution,[],[f690,f421]) ).

fof(f984,plain,
    ( spl0_96
    | ~ spl0_18
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f974,f688,f323,f981]) ).

fof(f981,plain,
    ( spl0_96
  <=> ssList(app(sk3,cons(sk5,cons(sk5,nil)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f974,plain,
    ( ssList(app(sk3,cons(sk5,cons(sk5,nil))))
    | ~ spl0_18
    | ~ spl0_62 ),
    inference(resolution,[],[f690,f388]) ).

fof(f965,plain,
    ( ~ spl0_10
    | ~ spl0_12
    | spl0_94
    | ~ spl0_25
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f953,f557,f367,f956,f292,f282]) ).

fof(f367,plain,
    ( spl0_25
  <=> sk4 = app(sk4,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f953,plain,
    ( ! [X5] :
        ( ~ ssList(X5)
        | ~ ssList(sk4)
        | segmentP(app(X5,sk4),nil)
        | ~ ssList(nil) )
    | ~ spl0_25
    | ~ spl0_44 ),
    inference(superposition,[],[f558,f369]) ).

fof(f369,plain,
    ( sk4 = app(sk4,nil)
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f367]) ).

fof(f964,plain,
    ( ~ spl0_10
    | ~ spl0_18
    | spl0_95
    | ~ spl0_24
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f952,f557,f362,f961,f323,f282]) ).

fof(f362,plain,
    ( spl0_24
  <=> sk3 = app(sk3,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f952,plain,
    ( ! [X4] :
        ( segmentP(app(X4,sk3),nil)
        | ~ ssList(sk3)
        | ~ ssList(nil)
        | ~ ssList(X4) )
    | ~ spl0_24
    | ~ spl0_44 ),
    inference(superposition,[],[f558,f364]) ).

fof(f364,plain,
    ( sk3 = app(sk3,nil)
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f362]) ).

fof(f963,plain,
    ( ~ spl0_18
    | ~ spl0_10
    | spl0_95
    | ~ spl0_27
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f950,f557,f379,f961,f282,f323]) ).

fof(f950,plain,
    ( ! [X2] :
        ( segmentP(app(X2,sk3),nil)
        | ~ ssList(nil)
        | ~ ssList(X2)
        | ~ ssList(sk3) )
    | ~ spl0_27
    | ~ spl0_44 ),
    inference(superposition,[],[f558,f381]) ).

fof(f959,plain,
    ( ~ spl0_18
    | spl0_94
    | ~ spl0_29
    | ~ spl0_4
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f951,f557,f254,f411,f956,f323]) ).

fof(f951,plain,
    ( ! [X3] :
        ( ~ ssList(cons(sk5,nil))
        | segmentP(app(X3,sk4),nil)
        | ~ ssList(sk3)
        | ~ ssList(X3) )
    | ~ spl0_4
    | ~ spl0_44 ),
    inference(superposition,[],[f558,f256]) ).

fof(f958,plain,
    ( ~ spl0_10
    | spl0_94
    | ~ spl0_12
    | ~ spl0_26
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f949,f557,f374,f292,f956,f282]) ).

fof(f949,plain,
    ( ! [X1] :
        ( ~ ssList(sk4)
        | ~ ssList(X1)
        | ~ ssList(nil)
        | segmentP(app(X1,sk4),nil) )
    | ~ spl0_26
    | ~ spl0_44 ),
    inference(superposition,[],[f558,f376]) ).

fof(f926,plain,
    ( ~ spl0_29
    | ~ spl0_12
    | spl0_93
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f912,f772,f924,f292,f411]) ).

fof(f924,plain,
    ( spl0_93
  <=> ! [X2] :
        ( ~ segmentP(cons(sk5,nil),X2)
        | ~ ssList(X2)
        | segmentP(sk4,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f772,plain,
    ( spl0_76
  <=> segmentP(sk4,cons(sk5,nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f912,plain,
    ( ! [X2] :
        ( ~ segmentP(cons(sk5,nil),X2)
        | segmentP(sk4,X2)
        | ~ ssList(X2)
        | ~ ssList(sk4)
        | ~ ssList(cons(sk5,nil)) )
    | ~ spl0_76 ),
    inference(resolution,[],[f774,f152]) ).

fof(f152,axiom,
    ! [X2,X0,X1] :
      ( ~ segmentP(X0,X1)
      | segmentP(X0,X2)
      | ~ ssList(X2)
      | ~ segmentP(X1,X2)
      | ~ ssList(X0)
      | ~ ssList(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause152) ).

fof(f774,plain,
    ( segmentP(sk4,cons(sk5,nil))
    | ~ spl0_76 ),
    inference(avatar_component_clause,[],[f772]) ).

fof(f922,plain,
    ( ~ spl0_92
    | ~ spl0_29
    | ~ spl0_12
    | spl0_85
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f913,f772,f844,f292,f411,f919]) ).

fof(f919,plain,
    ( spl0_92
  <=> segmentP(cons(sk5,nil),sk4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f913,plain,
    ( sk4 = cons(sk5,nil)
    | ~ ssList(sk4)
    | ~ ssList(cons(sk5,nil))
    | ~ segmentP(cons(sk5,nil),sk4)
    | ~ spl0_76 ),
    inference(resolution,[],[f774,f127]) ).

fof(f127,axiom,
    ! [X0,X1] :
      ( ~ segmentP(X0,X1)
      | X0 = X1
      | ~ ssList(X0)
      | ~ ssList(X1)
      | ~ segmentP(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause127) ).

fof(f917,plain,
    ( ~ spl0_12
    | ~ spl0_29
    | spl0_91
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f911,f772,f915,f411,f292]) ).

fof(f915,plain,
    ( spl0_91
  <=> ! [X0,X1] :
        ( ~ ssList(X0)
        | ~ ssList(X1)
        | segmentP(app(X0,app(sk4,X1)),cons(sk5,nil)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f911,plain,
    ( ! [X0,X1] :
        ( ~ ssList(X0)
        | segmentP(app(X0,app(sk4,X1)),cons(sk5,nil))
        | ~ ssList(cons(sk5,nil))
        | ~ ssList(sk4)
        | ~ ssList(X1) )
    | ~ spl0_76 ),
    inference(resolution,[],[f774,f350]) ).

fof(f350,plain,
    ! [X2,X3,X0,X1] :
      ( ~ segmentP(X0,X1)
      | ~ ssList(X0)
      | segmentP(app(X3,app(X0,X2)),X1)
      | ~ ssList(X1)
      | ~ ssList(X2)
      | ~ ssList(X3) ),
    inference(forward_subsumption_demodulation,[],[f172,f149]) ).

fof(f172,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ segmentP(X0,X1)
      | ~ ssList(X3)
      | ~ ssList(X2)
      | segmentP(app(app(X3,X0),X2),X1)
      | ~ ssList(X0)
      | ~ ssList(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause172) ).

fof(f896,plain,
    ( ~ spl0_5
    | spl0_89
    | ~ spl0_18
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f877,f753,f323,f887,f259]) ).

fof(f887,plain,
    ( spl0_89
  <=> ! [X0,X1] :
        ( ~ ssList(X1)
        | ~ ssItem(X0)
        | cons(X0,X1) != sk4
        | sk3 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f753,plain,
    ( spl0_73
  <=> sk4 = cons(sk5,sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f877,plain,
    ( ! [X2,X3] :
        ( ~ ssList(sk3)
        | ~ ssList(X3)
        | cons(X2,X3) != sk4
        | sk3 = X3
        | ~ ssItem(X2)
        | ~ ssItem(sk5) )
    | ~ spl0_73 ),
    inference(superposition,[],[f171,f755]) ).

fof(f755,plain,
    ( sk4 = cons(sk5,sk3)
    | ~ spl0_73 ),
    inference(avatar_component_clause,[],[f753]) ).

fof(f171,axiom,
    ! [X2,X3,X0,X1] :
      ( cons(X0,X1) != cons(X2,X3)
      | ~ ssList(X1)
      | ~ ssItem(X2)
      | ~ ssList(X3)
      | ~ ssItem(X0)
      | X1 = X3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause171) ).

fof(f895,plain,
    ( ~ spl0_18
    | ~ spl0_90
    | ~ spl0_5
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f880,f753,f259,f892,f323]) ).

fof(f892,plain,
    ( spl0_90
  <=> sk3 = sk4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f880,plain,
    ( ~ ssItem(sk5)
    | sk3 != sk4
    | ~ ssList(sk3)
    | ~ spl0_73 ),
    inference(superposition,[],[f99,f755]) ).

fof(f99,axiom,
    ! [X0,X1] :
      ( cons(X0,X1) != X1
      | ~ ssItem(X0)
      | ~ ssList(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).

fof(f890,plain,
    ( ~ spl0_5
    | spl0_88
    | ~ spl0_18
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f878,f753,f323,f883,f259]) ).

fof(f883,plain,
    ( spl0_88
  <=> ! [X6,X7] :
        ( sk4 != cons(X6,X7)
        | sk5 = X6
        | ~ ssList(X7)
        | ~ ssItem(X6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f878,plain,
    ( ! [X4,X5] :
        ( ~ ssList(sk3)
        | ~ ssList(X5)
        | ~ ssItem(sk5)
        | ~ ssItem(X4)
        | sk5 = X4
        | sk4 != cons(X4,X5) )
    | ~ spl0_73 ),
    inference(superposition,[],[f170,f755]) ).

fof(f170,axiom,
    ! [X2,X3,X0,X1] :
      ( cons(X0,X1) != cons(X2,X3)
      | ~ ssList(X1)
      | ~ ssItem(X2)
      | ~ ssItem(X0)
      | X0 = X2
      | ~ ssList(X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause170) ).

fof(f889,plain,
    ( ~ spl0_5
    | ~ spl0_18
    | spl0_89
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f876,f753,f887,f323,f259]) ).

fof(f876,plain,
    ( ! [X0,X1] :
        ( ~ ssList(X1)
        | sk3 = X1
        | cons(X0,X1) != sk4
        | ~ ssItem(X0)
        | ~ ssList(sk3)
        | ~ ssItem(sk5) )
    | ~ spl0_73 ),
    inference(superposition,[],[f171,f755]) ).

fof(f885,plain,
    ( ~ spl0_18
    | ~ spl0_5
    | spl0_88
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f879,f753,f883,f259,f323]) ).

fof(f879,plain,
    ( ! [X6,X7] :
        ( sk4 != cons(X6,X7)
        | ~ ssItem(X6)
        | ~ ssList(X7)
        | ~ ssItem(sk5)
        | ~ ssList(sk3)
        | sk5 = X6 )
    | ~ spl0_73 ),
    inference(superposition,[],[f170,f755]) ).

fof(f862,plain,
    ( ~ spl0_86
    | ~ spl0_18
    | ~ spl0_29
    | spl0_87
    | ~ spl0_4
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f849,f323,f254,f859,f411,f323,f855]) ).

fof(f855,plain,
    ( spl0_86
  <=> sk4 = app(sk3,sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f849,plain,
    ( sk3 = cons(sk5,nil)
    | ~ ssList(cons(sk5,nil))
    | ~ ssList(sk3)
    | sk4 != app(sk3,sk3)
    | ~ spl0_4
    | ~ spl0_18 ),
    inference(superposition,[],[f443,f256]) ).

fof(f847,plain,
    ( ~ spl0_29
    | ~ spl0_84
    | ~ spl0_18
    | spl0_85
    | ~ spl0_4
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f834,f292,f254,f844,f323,f840,f411]) ).

fof(f840,plain,
    ( spl0_84
  <=> sk4 = app(sk4,sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f834,plain,
    ( sk4 = cons(sk5,nil)
    | ~ ssList(sk3)
    | sk4 != app(sk4,sk3)
    | ~ ssList(cons(sk5,nil))
    | ~ spl0_4
    | ~ spl0_12 ),
    inference(superposition,[],[f442,f256]) ).

fof(f832,plain,
    ( ~ spl0_29
    | spl0_83
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f828,f323,f259,f254,f830,f411]) ).

fof(f830,plain,
    ( spl0_83
  <=> ! [X1] :
        ( sk4 != cons(sk5,X1)
        | ~ ssList(X1)
        | sk3 = X1 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f828,plain,
    ( ! [X1] :
        ( sk4 != cons(sk5,X1)
        | sk3 = X1
        | ~ ssList(cons(sk5,nil))
        | ~ ssList(X1) )
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_18 ),
    inference(forward_subsumption_demodulation,[],[f825,f421]) ).

fof(f825,plain,
    ( ! [X1] :
        ( ~ ssList(cons(sk5,nil))
        | sk3 = X1
        | sk4 != app(cons(sk5,nil),X1)
        | ~ ssList(X1) )
    | ~ spl0_4
    | ~ spl0_18 ),
    inference(superposition,[],[f437,f256]) ).

fof(f437,plain,
    ( ! [X2,X3] :
        ( app(X2,X3) != app(X2,sk3)
        | sk3 = X3
        | ~ ssList(X3)
        | ~ ssList(X2) )
    | ~ spl0_18 ),
    inference(resolution,[],[f150,f325]) ).

fof(f820,plain,
    ( spl0_82
    | ~ spl0_5
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f790,f657,f259,f817]) ).

fof(f817,plain,
    ( spl0_82
  <=> app(cons(sk5,nil),cons(sk5,sk4)) = cons(sk5,cons(sk5,sk4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f790,plain,
    ( app(cons(sk5,nil),cons(sk5,sk4)) = cons(sk5,cons(sk5,sk4))
    | ~ spl0_5
    | ~ spl0_58 ),
    inference(resolution,[],[f659,f421]) ).

fof(f659,plain,
    ( ssList(cons(sk5,sk4))
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f657]) ).

fof(f815,plain,
    ( spl0_81
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f780,f657,f812]) ).

fof(f812,plain,
    ( spl0_81
  <=> cons(sk5,sk4) = app(cons(sk5,sk4),nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f780,plain,
    ( cons(sk5,sk4) = app(cons(sk5,sk4),nil)
    | ~ spl0_58 ),
    inference(resolution,[],[f659,f73]) ).

fof(f810,plain,
    ( spl0_80
    | ~ spl0_5
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f789,f657,f259,f807]) ).

fof(f807,plain,
    ( spl0_80
  <=> ssList(cons(sk5,cons(sk5,sk4))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f789,plain,
    ( ssList(cons(sk5,cons(sk5,sk4)))
    | ~ spl0_5
    | ~ spl0_58 ),
    inference(resolution,[],[f659,f393]) ).

fof(f805,plain,
    ( spl0_79
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f781,f657,f802]) ).

fof(f802,plain,
    ( spl0_79
  <=> cons(sk5,sk4) = app(nil,cons(sk5,sk4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f781,plain,
    ( cons(sk5,sk4) = app(nil,cons(sk5,sk4))
    | ~ spl0_58 ),
    inference(resolution,[],[f659,f74]) ).

fof(f800,plain,
    ( spl0_78
    | ~ spl0_12
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f787,f657,f292,f797]) ).

fof(f797,plain,
    ( spl0_78
  <=> ssList(app(sk4,cons(sk5,sk4))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f787,plain,
    ( ssList(app(sk4,cons(sk5,sk4)))
    | ~ spl0_12
    | ~ spl0_58 ),
    inference(resolution,[],[f659,f387]) ).

fof(f795,plain,
    ( spl0_77
    | ~ spl0_18
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f788,f657,f323,f792]) ).

fof(f792,plain,
    ( spl0_77
  <=> ssList(app(sk3,cons(sk5,sk4))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f788,plain,
    ( ssList(app(sk3,cons(sk5,sk4)))
    | ~ spl0_18
    | ~ spl0_58 ),
    inference(resolution,[],[f659,f388]) ).

fof(f775,plain,
    ( ~ spl0_10
    | ~ spl0_12
    | spl0_76
    | ~ spl0_26
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f760,f672,f374,f772,f292,f282]) ).

fof(f760,plain,
    ( segmentP(sk4,cons(sk5,nil))
    | ~ ssList(sk4)
    | ~ ssList(nil)
    | ~ spl0_26
    | ~ spl0_61 ),
    inference(superposition,[],[f673,f376]) ).

fof(f770,plain,
    ( ~ spl0_18
    | spl0_75
    | ~ spl0_42
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f759,f672,f541,f767,f323]) ).

fof(f767,plain,
    ( spl0_75
  <=> segmentP(app(sk3,sk4),cons(sk5,nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f541,plain,
    ( spl0_42
  <=> ssList(app(sk3,sk4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f759,plain,
    ( segmentP(app(sk3,sk4),cons(sk5,nil))
    | ~ ssList(sk3)
    | ~ spl0_42
    | ~ spl0_61 ),
    inference(resolution,[],[f673,f543]) ).

fof(f543,plain,
    ( ssList(app(sk3,sk4))
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f541]) ).

fof(f765,plain,
    ( ~ spl0_12
    | spl0_74
    | ~ spl0_33
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f758,f672,f472,f762,f292]) ).

fof(f762,plain,
    ( spl0_74
  <=> segmentP(app(sk4,sk4),cons(sk5,nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f472,plain,
    ( spl0_33
  <=> ssList(app(sk4,sk4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f758,plain,
    ( segmentP(app(sk4,sk4),cons(sk5,nil))
    | ~ ssList(sk4)
    | ~ spl0_33
    | ~ spl0_61 ),
    inference(resolution,[],[f673,f474]) ).

fof(f474,plain,
    ( ssList(app(sk4,sk4))
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f472]) ).

fof(f756,plain,
    ( spl0_73
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f751,f323,f259,f254,f753]) ).

fof(f751,plain,
    ( sk4 = cons(sk5,sk3)
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f719,f256]) ).

fof(f719,plain,
    ( app(cons(sk5,nil),sk3) = cons(sk5,sk3)
    | ~ spl0_5
    | ~ spl0_18 ),
    inference(resolution,[],[f421,f325]) ).

fof(f750,plain,
    ( spl0_72
    | ~ spl0_5
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f720,f292,f259,f747]) ).

fof(f720,plain,
    ( app(cons(sk5,nil),sk4) = cons(sk5,sk4)
    | ~ spl0_5
    | ~ spl0_12 ),
    inference(resolution,[],[f421,f294]) ).

fof(f745,plain,
    ( spl0_71
    | ~ spl0_5
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f715,f466,f259,f742]) ).

fof(f742,plain,
    ( spl0_71
  <=> cons(sk5,app(sk4,sk3)) = app(cons(sk5,nil),app(sk4,sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f715,plain,
    ( cons(sk5,app(sk4,sk3)) = app(cons(sk5,nil),app(sk4,sk3))
    | ~ spl0_5
    | ~ spl0_32 ),
    inference(resolution,[],[f421,f468]) ).

fof(f740,plain,
    ( spl0_70
    | ~ spl0_5
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f718,f546,f259,f737]) ).

fof(f737,plain,
    ( spl0_70
  <=> app(cons(sk5,nil),app(sk3,sk3)) = cons(sk5,app(sk3,sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f718,plain,
    ( app(cons(sk5,nil),app(sk3,sk3)) = cons(sk5,app(sk3,sk3))
    | ~ spl0_5
    | ~ spl0_43 ),
    inference(resolution,[],[f421,f548]) ).

fof(f735,plain,
    ( spl0_69
    | ~ spl0_5
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f716,f472,f259,f732]) ).

fof(f732,plain,
    ( spl0_69
  <=> cons(sk5,app(sk4,sk4)) = app(cons(sk5,nil),app(sk4,sk4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f716,plain,
    ( cons(sk5,app(sk4,sk4)) = app(cons(sk5,nil),app(sk4,sk4))
    | ~ spl0_5
    | ~ spl0_33 ),
    inference(resolution,[],[f421,f474]) ).

fof(f730,plain,
    ( spl0_68
    | ~ spl0_5
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f714,f411,f259,f727]) ).

fof(f727,plain,
    ( spl0_68
  <=> cons(sk5,cons(sk5,nil)) = app(cons(sk5,nil),cons(sk5,nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f714,plain,
    ( cons(sk5,cons(sk5,nil)) = app(cons(sk5,nil),cons(sk5,nil))
    | ~ spl0_5
    | ~ spl0_29 ),
    inference(resolution,[],[f421,f412]) ).

fof(f412,plain,
    ( ssList(cons(sk5,nil))
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f411]) ).

fof(f725,plain,
    ( spl0_67
    | ~ spl0_5
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f717,f541,f259,f722]) ).

fof(f722,plain,
    ( spl0_67
  <=> app(cons(sk5,nil),app(sk3,sk4)) = cons(sk5,app(sk3,sk4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f717,plain,
    ( app(cons(sk5,nil),app(sk3,sk4)) = cons(sk5,app(sk3,sk4))
    | ~ spl0_5
    | ~ spl0_42 ),
    inference(resolution,[],[f421,f543]) ).

fof(f712,plain,
    ( spl0_66
    | ~ spl0_18
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f683,f411,f323,f709]) ).

fof(f683,plain,
    ( ssList(app(sk3,cons(sk5,nil)))
    | ~ spl0_18
    | ~ spl0_29 ),
    inference(resolution,[],[f412,f388]) ).

fof(f706,plain,
    ( spl0_65
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f676,f411,f703]) ).

fof(f703,plain,
    ( spl0_65
  <=> cons(sk5,nil) = app(nil,cons(sk5,nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f676,plain,
    ( cons(sk5,nil) = app(nil,cons(sk5,nil))
    | ~ spl0_29 ),
    inference(resolution,[],[f412,f74]) ).

fof(f701,plain,
    ( spl0_64
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f675,f411,f698]) ).

fof(f675,plain,
    ( cons(sk5,nil) = app(cons(sk5,nil),nil)
    | ~ spl0_29 ),
    inference(resolution,[],[f412,f73]) ).

fof(f696,plain,
    ( spl0_63
    | ~ spl0_12
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f682,f411,f292,f693]) ).

fof(f682,plain,
    ( ssList(app(sk4,cons(sk5,nil)))
    | ~ spl0_12
    | ~ spl0_29 ),
    inference(resolution,[],[f412,f387]) ).

fof(f691,plain,
    ( spl0_62
    | ~ spl0_5
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f684,f411,f259,f688]) ).

fof(f684,plain,
    ( ssList(cons(sk5,cons(sk5,nil)))
    | ~ spl0_5
    | ~ spl0_29 ),
    inference(resolution,[],[f412,f393]) ).

fof(f674,plain,
    ( ~ spl0_18
    | spl0_61
    | ~ spl0_29
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f621,f254,f411,f672,f323]) ).

fof(f621,plain,
    ( ! [X3] :
        ( ~ ssList(cons(sk5,nil))
        | segmentP(app(X3,sk4),cons(sk5,nil))
        | ~ ssList(X3)
        | ~ ssList(sk3)
        | ~ ssList(app(X3,sk4)) )
    | ~ spl0_4 ),
    inference(superposition,[],[f316,f256]) ).

fof(f670,plain,
    ( spl0_60
    | ~ spl0_5
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f637,f546,f259,f667]) ).

fof(f667,plain,
    ( spl0_60
  <=> ssList(cons(sk5,app(sk3,sk3))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f637,plain,
    ( ssList(cons(sk5,app(sk3,sk3)))
    | ~ spl0_5
    | ~ spl0_43 ),
    inference(resolution,[],[f393,f548]) ).

fof(f665,plain,
    ( spl0_59
    | ~ spl0_5
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f635,f472,f259,f662]) ).

fof(f662,plain,
    ( spl0_59
  <=> ssList(cons(sk5,app(sk4,sk4))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f635,plain,
    ( ssList(cons(sk5,app(sk4,sk4)))
    | ~ spl0_5
    | ~ spl0_33 ),
    inference(resolution,[],[f393,f474]) ).

fof(f660,plain,
    ( spl0_58
    | ~ spl0_5
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f639,f292,f259,f657]) ).

fof(f639,plain,
    ( ssList(cons(sk5,sk4))
    | ~ spl0_5
    | ~ spl0_12 ),
    inference(resolution,[],[f393,f294]) ).

fof(f655,plain,
    ( spl0_29
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f633,f282,f259,f411]) ).

fof(f633,plain,
    ( ssList(cons(sk5,nil))
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(resolution,[],[f393,f283]) ).

fof(f283,plain,
    ( ssList(nil)
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f282]) ).

fof(f654,plain,
    ( spl0_57
    | ~ spl0_5
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f634,f466,f259,f651]) ).

fof(f651,plain,
    ( spl0_57
  <=> ssList(cons(sk5,app(sk4,sk3))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f634,plain,
    ( ssList(cons(sk5,app(sk4,sk3)))
    | ~ spl0_5
    | ~ spl0_32 ),
    inference(resolution,[],[f393,f468]) ).

fof(f649,plain,
    ( spl0_56
    | ~ spl0_5
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f636,f541,f259,f646]) ).

fof(f646,plain,
    ( spl0_56
  <=> ssList(cons(sk5,app(sk3,sk4))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f636,plain,
    ( ssList(cons(sk5,app(sk3,sk4)))
    | ~ spl0_5
    | ~ spl0_42 ),
    inference(resolution,[],[f393,f543]) ).

fof(f644,plain,
    ( spl0_55
    | ~ spl0_5
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f638,f323,f259,f641]) ).

fof(f641,plain,
    ( spl0_55
  <=> ssList(cons(sk5,sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f638,plain,
    ( ssList(cons(sk5,sk3))
    | ~ spl0_5
    | ~ spl0_18 ),
    inference(resolution,[],[f393,f325]) ).

fof(f632,plain,
    ( ~ spl0_10
    | spl0_54
    | ~ spl0_12
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f623,f367,f292,f630,f282]) ).

fof(f630,plain,
    ( spl0_54
  <=> ! [X5] :
        ( segmentP(app(X5,sk4),sk4)
        | ~ ssList(app(X5,sk4))
        | ~ ssList(X5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f623,plain,
    ( ! [X5] :
        ( ~ ssList(sk4)
        | segmentP(app(X5,sk4),sk4)
        | ~ ssList(X5)
        | ~ ssList(app(X5,sk4))
        | ~ ssList(nil) )
    | ~ spl0_25 ),
    inference(superposition,[],[f316,f369]) ).

fof(f628,plain,
    ( ~ spl0_10
    | spl0_53
    | ~ spl0_18
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f622,f362,f323,f626,f282]) ).

fof(f622,plain,
    ( ! [X4] :
        ( ~ ssList(sk3)
        | ~ ssList(X4)
        | segmentP(app(X4,sk3),sk3)
        | ~ ssList(nil)
        | ~ ssList(app(X4,sk3)) )
    | ~ spl0_24 ),
    inference(superposition,[],[f316,f364]) ).

fof(f617,plain,
    ( spl0_52
    | ~ spl0_18
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f597,f546,f323,f614]) ).

fof(f614,plain,
    ( spl0_52
  <=> ssList(app(sk3,app(sk3,sk3))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f597,plain,
    ( ssList(app(sk3,app(sk3,sk3)))
    | ~ spl0_18
    | ~ spl0_43 ),
    inference(resolution,[],[f548,f388]) ).

fof(f612,plain,
    ( spl0_51
    | ~ spl0_12
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f596,f546,f292,f609]) ).

fof(f609,plain,
    ( spl0_51
  <=> ssList(app(sk4,app(sk3,sk3))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f596,plain,
    ( ssList(app(sk4,app(sk3,sk3)))
    | ~ spl0_12
    | ~ spl0_43 ),
    inference(resolution,[],[f548,f387]) ).

fof(f607,plain,
    ( spl0_50
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f589,f546,f604]) ).

fof(f604,plain,
    ( spl0_50
  <=> app(sk3,sk3) = app(app(sk3,sk3),nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f589,plain,
    ( app(sk3,sk3) = app(app(sk3,sk3),nil)
    | ~ spl0_43 ),
    inference(resolution,[],[f548,f73]) ).

fof(f602,plain,
    ( spl0_49
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f590,f546,f599]) ).

fof(f599,plain,
    ( spl0_49
  <=> app(sk3,sk3) = app(nil,app(sk3,sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f590,plain,
    ( app(sk3,sk3) = app(nil,app(sk3,sk3))
    | ~ spl0_43 ),
    inference(resolution,[],[f548,f74]) ).

fof(f588,plain,
    ( spl0_48
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f561,f541,f585]) ).

fof(f585,plain,
    ( spl0_48
  <=> app(nil,app(sk3,sk4)) = app(sk3,sk4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f561,plain,
    ( app(nil,app(sk3,sk4)) = app(sk3,sk4)
    | ~ spl0_42 ),
    inference(resolution,[],[f543,f74]) ).

fof(f583,plain,
    ( spl0_47
    | ~ spl0_18
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f568,f541,f323,f580]) ).

fof(f580,plain,
    ( spl0_47
  <=> ssList(app(sk3,app(sk3,sk4))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f568,plain,
    ( ssList(app(sk3,app(sk3,sk4)))
    | ~ spl0_18
    | ~ spl0_42 ),
    inference(resolution,[],[f543,f388]) ).

fof(f578,plain,
    ( spl0_46
    | ~ spl0_12
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f567,f541,f292,f575]) ).

fof(f575,plain,
    ( spl0_46
  <=> ssList(app(sk4,app(sk3,sk4))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f567,plain,
    ( ssList(app(sk4,app(sk3,sk4)))
    | ~ spl0_12
    | ~ spl0_42 ),
    inference(resolution,[],[f543,f387]) ).

fof(f573,plain,
    ( spl0_45
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f560,f541,f570]) ).

fof(f570,plain,
    ( spl0_45
  <=> app(app(sk3,sk4),nil) = app(sk3,sk4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f560,plain,
    ( app(app(sk3,sk4),nil) = app(sk3,sk4)
    | ~ spl0_42 ),
    inference(resolution,[],[f543,f73]) ).

fof(f559,plain,
    ( ~ spl0_10
    | spl0_44 ),
    inference(avatar_split_clause,[],[f555,f557,f282]) ).

fof(f555,plain,
    ! [X2,X0,X1] :
      ( segmentP(app(X1,app(X0,X2)),nil)
      | ~ ssList(X2)
      | ~ ssList(nil)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(duplicate_literal_removal,[],[f552]) ).

fof(f552,plain,
    ! [X2,X0,X1] :
      ( segmentP(app(X1,app(X0,X2)),nil)
      | ~ ssList(X0)
      | ~ ssList(X0)
      | ~ ssList(nil)
      | ~ ssList(X1)
      | ~ ssList(X2) ),
    inference(resolution,[],[f350,f56]) ).

fof(f56,axiom,
    ! [X0] :
      ( segmentP(X0,nil)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause56) ).

fof(f549,plain,
    ( spl0_43
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f527,f323,f546]) ).

fof(f527,plain,
    ( ssList(app(sk3,sk3))
    | ~ spl0_18 ),
    inference(resolution,[],[f388,f325]) ).

fof(f544,plain,
    ( spl0_42
    | ~ spl0_12
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f528,f323,f292,f541]) ).

fof(f528,plain,
    ( ssList(app(sk3,sk4))
    | ~ spl0_12
    | ~ spl0_18 ),
    inference(resolution,[],[f388,f294]) ).

fof(f539,plain,
    ( spl0_41
    | ~ spl0_18
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f526,f472,f323,f536]) ).

fof(f536,plain,
    ( spl0_41
  <=> ssList(app(sk3,app(sk4,sk4))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f526,plain,
    ( ssList(app(sk3,app(sk4,sk4)))
    | ~ spl0_18
    | ~ spl0_33 ),
    inference(resolution,[],[f388,f474]) ).

fof(f534,plain,
    ( spl0_40
    | ~ spl0_18
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f525,f466,f323,f531]) ).

fof(f531,plain,
    ( spl0_40
  <=> ssList(app(sk3,app(sk4,sk3))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f525,plain,
    ( ssList(app(sk3,app(sk4,sk3)))
    | ~ spl0_18
    | ~ spl0_32 ),
    inference(resolution,[],[f388,f468]) ).

fof(f523,plain,
    ( spl0_39
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f502,f472,f520]) ).

fof(f520,plain,
    ( spl0_39
  <=> app(sk4,sk4) = app(nil,app(sk4,sk4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f502,plain,
    ( app(sk4,sk4) = app(nil,app(sk4,sk4))
    | ~ spl0_33 ),
    inference(resolution,[],[f474,f74]) ).

fof(f518,plain,
    ( spl0_38
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f501,f472,f515]) ).

fof(f515,plain,
    ( spl0_38
  <=> app(app(sk4,sk4),nil) = app(sk4,sk4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f501,plain,
    ( app(app(sk4,sk4),nil) = app(sk4,sk4)
    | ~ spl0_33 ),
    inference(resolution,[],[f474,f73]) ).

fof(f513,plain,
    ( spl0_37
    | ~ spl0_12
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f508,f472,f292,f510]) ).

fof(f510,plain,
    ( spl0_37
  <=> ssList(app(sk4,app(sk4,sk4))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f508,plain,
    ( ssList(app(sk4,app(sk4,sk4)))
    | ~ spl0_12
    | ~ spl0_33 ),
    inference(resolution,[],[f474,f387]) ).

fof(f500,plain,
    ( spl0_36
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f478,f466,f497]) ).

fof(f497,plain,
    ( spl0_36
  <=> app(app(sk4,sk3),nil) = app(sk4,sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f478,plain,
    ( app(app(sk4,sk3),nil) = app(sk4,sk3)
    | ~ spl0_32 ),
    inference(resolution,[],[f468,f73]) ).

fof(f495,plain,
    ( spl0_35
    | ~ spl0_12
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f485,f466,f292,f492]) ).

fof(f492,plain,
    ( spl0_35
  <=> ssList(app(sk4,app(sk4,sk3))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f485,plain,
    ( ssList(app(sk4,app(sk4,sk3)))
    | ~ spl0_12
    | ~ spl0_32 ),
    inference(resolution,[],[f468,f387]) ).

fof(f490,plain,
    ( spl0_34
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f479,f466,f487]) ).

fof(f487,plain,
    ( spl0_34
  <=> app(nil,app(sk4,sk3)) = app(sk4,sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f479,plain,
    ( app(nil,app(sk4,sk3)) = app(sk4,sk3)
    | ~ spl0_32 ),
    inference(resolution,[],[f468,f74]) ).

fof(f475,plain,
    ( spl0_33
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f462,f292,f472]) ).

fof(f462,plain,
    ( ssList(app(sk4,sk4))
    | ~ spl0_12 ),
    inference(resolution,[],[f387,f294]) ).

fof(f469,plain,
    ( spl0_32
    | ~ spl0_12
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f463,f323,f292,f466]) ).

fof(f463,plain,
    ( ssList(app(sk4,sk3))
    | ~ spl0_12
    | ~ spl0_18 ),
    inference(resolution,[],[f387,f325]) ).

fof(f435,plain,
    ( spl0_31
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f431,f282,f433]) ).

fof(f433,plain,
    ( spl0_31
  <=> ! [X0,X1] :
        ( ~ ssList(X0)
        | ~ segmentP(nil,X1)
        | ~ ssList(X1)
        | segmentP(X0,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f431,plain,
    ! [X0,X1] :
      ( ~ ssList(nil)
      | ~ ssList(X0)
      | segmentP(X0,X1)
      | ~ ssList(X1)
      | ~ segmentP(nil,X1) ),
    inference(duplicate_literal_removal,[],[f428]) ).

fof(f428,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X0)
      | ~ segmentP(nil,X1)
      | ~ ssList(X1)
      | segmentP(X0,X1)
      | ~ ssList(nil) ),
    inference(resolution,[],[f152,f56]) ).

fof(f418,plain,
    ( ~ spl0_28
    | ~ spl0_18
    | ~ spl0_29
    | spl0_30
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f404,f254,f415,f411,f323,f407]) ).

fof(f404,plain,
    ( nil = cons(sk5,nil)
    | ~ ssList(cons(sk5,nil))
    | ~ ssList(sk3)
    | nil != sk4
    | ~ spl0_4 ),
    inference(superposition,[],[f118,f256]) ).

fof(f382,plain,
    ( spl0_27
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f372,f323,f379]) ).

fof(f372,plain,
    ( sk3 = app(nil,sk3)
    | ~ spl0_18 ),
    inference(resolution,[],[f74,f325]) ).

fof(f377,plain,
    ( spl0_26
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f371,f292,f374]) ).

fof(f371,plain,
    ( sk4 = app(nil,sk4)
    | ~ spl0_12 ),
    inference(resolution,[],[f74,f294]) ).

fof(f370,plain,
    ( spl0_25
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f359,f292,f367]) ).

fof(f359,plain,
    ( sk4 = app(sk4,nil)
    | ~ spl0_12 ),
    inference(resolution,[],[f73,f294]) ).

fof(f365,plain,
    ( spl0_24
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f360,f323,f362]) ).

fof(f360,plain,
    ( sk3 = app(sk3,nil)
    | ~ spl0_18 ),
    inference(resolution,[],[f73,f325]) ).

fof(f358,plain,
    ( ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f198,f254,f250]) ).

fof(f250,plain,
    ( spl0_3
  <=> neq(sk4,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f198,axiom,
    ( sk4 = app(cons(sk5,nil),sk3)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).

fof(f357,plain,
    spl0_15,
    inference(avatar_split_clause,[],[f66,f307]) ).

fof(f307,plain,
    ( spl0_15
  <=> ! [X1] :
        ( ~ ssItem(X1)
        | strictorderedP(cons(X1,nil)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f66,axiom,
    ! [X0] :
      ( strictorderedP(cons(X0,nil))
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).

fof(f356,plain,
    spl0_10,
    inference(avatar_split_clause,[],[f8,f282]) ).

fof(f8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).

fof(f355,plain,
    spl0_23,
    inference(avatar_split_clause,[],[f5,f352]) ).

fof(f352,plain,
    ( spl0_23
  <=> strictorderP(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f5,axiom,
    strictorderP(nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause5) ).

fof(f349,plain,
    spl0_3,
    inference(avatar_split_clause,[],[f233,f250]) ).

fof(f233,plain,
    neq(sk4,nil),
    inference(duplicate_literal_removal,[],[f201]) ).

fof(f201,plain,
    ( neq(sk4,nil)
    | neq(sk4,nil) ),
    inference(definition_unfolding,[],[f192,f190,f190]) ).

fof(f190,axiom,
    sk2 = sk4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).

fof(f192,axiom,
    ( neq(sk2,nil)
    | neq(sk2,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

fof(f348,plain,
    ( spl0_21
    | spl0_22 ),
    inference(avatar_split_clause,[],[f72,f346,f343]) ).

fof(f343,plain,
    ( spl0_21
  <=> ! [X1] : ssItem(X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f346,plain,
    ( spl0_22
  <=> ! [X0] :
        ( duplicatefreeP(X0)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f72,axiom,
    ! [X0,X1] :
      ( duplicatefreeP(X0)
      | ssItem(X1)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).

fof(f341,plain,
    ( spl0_5
    | spl0_3 ),
    inference(avatar_split_clause,[],[f206,f250,f259]) ).

fof(f206,plain,
    ( neq(sk4,nil)
    | ssItem(sk5) ),
    inference(definition_unfolding,[],[f194,f190]) ).

fof(f194,axiom,
    ( ssItem(sk5)
    | neq(sk2,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).

fof(f340,plain,
    ~ spl0_20,
    inference(avatar_split_clause,[],[f11,f337]) ).

fof(f337,plain,
    ( spl0_20
  <=> singletonP(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f11,axiom,
    ~ singletonP(nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause11) ).

fof(f335,plain,
    spl0_19,
    inference(avatar_split_clause,[],[f4,f332]) ).

fof(f332,plain,
    ( spl0_19
  <=> totalorderedP(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f4,axiom,
    totalorderedP(nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause4) ).

fof(f330,plain,
    spl0_18,
    inference(avatar_split_clause,[],[f200,f323]) ).

fof(f200,plain,
    ssList(sk3),
    inference(definition_unfolding,[],[f186,f191]) ).

fof(f191,axiom,
    sk1 = sk3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).

fof(f186,axiom,
    ssList(sk1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_1) ).

fof(f329,plain,
    spl0_9,
    inference(avatar_split_clause,[],[f67,f279]) ).

fof(f279,plain,
    ( spl0_9
  <=> ! [X1] :
        ( totalorderedP(cons(X1,nil))
        | ~ ssItem(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f67,axiom,
    ! [X0] :
      ( ~ ssItem(X0)
      | totalorderedP(cons(X0,nil)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).

fof(f328,plain,
    spl0_12,
    inference(avatar_split_clause,[],[f207,f292]) ).

fof(f207,plain,
    ssList(sk4),
    inference(definition_unfolding,[],[f187,f190]) ).

fof(f187,axiom,
    ssList(sk2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_2) ).

fof(f327,plain,
    ( spl0_3
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f203,f302,f250]) ).

fof(f203,plain,
    ( ~ segmentP(sk4,sk3)
    | neq(sk4,nil) ),
    inference(definition_unfolding,[],[f196,f190,f191,f190]) ).

fof(f196,axiom,
    ( ~ segmentP(sk2,sk1)
    | neq(sk2,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).

fof(f326,plain,
    spl0_18,
    inference(avatar_split_clause,[],[f188,f323]) ).

fof(f188,axiom,
    ssList(sk3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_3) ).

fof(f321,plain,
    ~ spl0_17,
    inference(avatar_split_clause,[],[f54,f318]) ).

fof(f318,plain,
    ( spl0_17
  <=> skac3 = skac2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f54,axiom,
    skac3 != skac2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause54) ).

fof(f314,plain,
    spl0_16,
    inference(avatar_split_clause,[],[f6,f311]) ).

fof(f311,plain,
    ( spl0_16
  <=> totalorderP(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f6,axiom,
    totalorderP(nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause6) ).

fof(f309,plain,
    ( spl0_15
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f215,f282,f307]) ).

fof(f215,plain,
    ! [X1] :
      ( ~ ssList(nil)
      | ~ ssItem(X1)
      | strictorderedP(cons(X1,nil)) ),
    inference(equality_resolution,[],[f112]) ).

fof(f112,axiom,
    ! [X0,X1] :
      ( ~ ssItem(X1)
      | ~ ssList(X0)
      | nil != X0
      | strictorderedP(cons(X1,X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause112) ).

fof(f305,plain,
    ( ~ spl0_3
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f204,f302,f250]) ).

fof(f204,plain,
    ( ~ segmentP(sk4,sk3)
    | ~ neq(sk4,nil) ),
    inference(definition_unfolding,[],[f199,f190,f191]) ).

fof(f199,axiom,
    ( ~ segmentP(sk2,sk1)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).

fof(f300,plain,
    ( spl0_13
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f236,f282,f297]) ).

fof(f297,plain,
    ( spl0_13
  <=> nil = app(nil,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f236,plain,
    ( ~ ssList(nil)
    | nil = app(nil,nil) ),
    inference(duplicate_literal_removal,[],[f217]) ).

fof(f217,plain,
    ( nil = app(nil,nil)
    | ~ ssList(nil)
    | ~ ssList(nil) ),
    inference(equality_resolution,[],[f216]) ).

fof(f216,plain,
    ! [X1] :
      ( ~ ssList(X1)
      | ~ ssList(nil)
      | nil != X1
      | nil = app(nil,X1) ),
    inference(equality_resolution,[],[f145]) ).

fof(f145,axiom,
    ! [X0,X1] :
      ( ~ ssList(X1)
      | nil != X0
      | ~ ssList(X0)
      | nil != X1
      | nil = app(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause145) ).

fof(f295,plain,
    spl0_12,
    inference(avatar_split_clause,[],[f189,f292]) ).

fof(f189,axiom,
    ssList(sk4),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_4) ).

fof(f290,plain,
    spl0_11,
    inference(avatar_split_clause,[],[f10,f287]) ).

fof(f287,plain,
    ( spl0_11
  <=> ssItem(skac2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f10,axiom,
    ssItem(skac2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause10) ).

fof(f285,plain,
    ( spl0_9
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f208,f282,f279]) ).

fof(f208,plain,
    ! [X1] :
      ( ~ ssList(nil)
      | totalorderedP(cons(X1,nil))
      | ~ ssItem(X1) ),
    inference(equality_resolution,[],[f113]) ).

fof(f113,axiom,
    ! [X0,X1] :
      ( totalorderedP(cons(X1,X0))
      | ~ ssItem(X1)
      | ~ ssList(X0)
      | nil != X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause113) ).

fof(f277,plain,
    spl0_8,
    inference(avatar_split_clause,[],[f1,f274]) ).

fof(f274,plain,
    ( spl0_8
  <=> equalelemsP(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f1,axiom,
    equalelemsP(nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).

fof(f272,plain,
    spl0_7,
    inference(avatar_split_clause,[],[f3,f269]) ).

fof(f269,plain,
    ( spl0_7
  <=> strictorderedP(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f3,axiom,
    strictorderedP(nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause3) ).

fof(f267,plain,
    spl0_6,
    inference(avatar_split_clause,[],[f2,f264]) ).

fof(f264,plain,
    ( spl0_6
  <=> duplicatefreeP(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f2,axiom,
    duplicatefreeP(nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).

fof(f262,plain,
    ( ~ spl0_3
    | spl0_5 ),
    inference(avatar_split_clause,[],[f197,f259,f250]) ).

fof(f197,axiom,
    ( ssItem(sk5)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).

fof(f257,plain,
    ( spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f202,f254,f250]) ).

fof(f202,plain,
    ( sk4 = app(cons(sk5,nil),sk3)
    | neq(sk4,nil) ),
    inference(definition_unfolding,[],[f195,f190]) ).

fof(f195,axiom,
    ( neq(sk2,nil)
    | sk4 = app(cons(sk5,nil),sk3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).

fof(f248,plain,
    spl0_2,
    inference(avatar_split_clause,[],[f9,f245]) ).

fof(f245,plain,
    ( spl0_2
  <=> ssItem(skac3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f9,axiom,
    ssItem(skac3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause9) ).

fof(f243,plain,
    spl0_1,
    inference(avatar_split_clause,[],[f7,f240]) ).

fof(f240,plain,
    ( spl0_1
  <=> cyclefreeP(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f7,axiom,
    cyclefreeP(nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause7) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : SWC364-1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.07/0.32  % Computer : n017.cluster.edu
% 0.07/0.32  % Model    : x86_64 x86_64
% 0.07/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.32  % Memory   : 8042.1875MB
% 0.07/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.32  % CPULimit   : 300
% 0.07/0.32  % WCLimit    : 300
% 0.07/0.32  % DateTime   : Tue Aug 30 18:31:05 EDT 2022
% 0.07/0.32  % CPUTime    : 
% 0.11/0.45  % (27420)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)
% 0.11/0.45  % (27436)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.11/0.48  % (27419)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.11/0.48  % (27434)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)
% 0.11/0.48  % (27427)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.11/0.49  % (27442)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)
% 0.11/0.49  % (27443)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.11/0.49  % (27435)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)
% 0.11/0.49  % (27429)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)
% 0.11/0.49  % (27437)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)
% 0.11/0.49  % (27426)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)
% 0.11/0.49  % (27444)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)
% 0.11/0.49  % (27432)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.11/0.50  % (27438)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)
% 0.11/0.50  % (27422)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.11/0.50  % (27424)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)
% 0.11/0.50  % (27418)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)
% 0.11/0.50  % (27423)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.11/0.50  % (27428)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.11/0.50  % (27440)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.11/0.50  % (27431)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)
% 0.11/0.51  % (27416)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)
% 0.11/0.51  % (27420)Instruction limit reached!
% 0.11/0.51  % (27420)------------------------------
% 0.11/0.51  % (27420)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.11/0.52  % (27422)Instruction limit reached!
% 0.11/0.52  % (27422)------------------------------
% 0.11/0.52  % (27422)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.11/0.52  % (27422)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.11/0.52  % (27422)Termination reason: Unknown
% 0.11/0.52  % (27422)Termination phase: Saturation
% 0.11/0.52  
% 0.11/0.52  % (27422)Memory used [KB]: 5628
% 0.11/0.52  % (27422)Time elapsed: 0.122 s
% 0.11/0.52  % (27422)Instructions burned: 8 (million)
% 0.11/0.52  % (27422)------------------------------
% 0.11/0.52  % (27422)------------------------------
% 0.11/0.52  % (27417)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)
% 0.11/0.52  TRYING [1]
% 0.11/0.52  % (27423)Instruction limit reached!
% 0.11/0.52  % (27423)------------------------------
% 0.11/0.52  % (27423)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.11/0.52  % (27423)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.11/0.52  % (27423)Termination reason: Unknown
% 0.11/0.52  % (27423)Termination phase: Function definition elimination
% 0.11/0.52  
% 0.11/0.52  % (27423)Memory used [KB]: 1023
% 0.11/0.52  % (27423)Time elapsed: 0.002 s
% 0.11/0.52  % (27423)Instructions burned: 2 (million)
% 0.11/0.52  % (27423)------------------------------
% 0.11/0.52  % (27423)------------------------------
% 0.11/0.53  % (27420)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.11/0.53  % (27420)Termination reason: Unknown
% 0.11/0.53  % (27420)Termination phase: Saturation
% 0.11/0.53  
% 0.11/0.53  % (27420)Memory used [KB]: 6268
% 0.11/0.53  % (27420)Time elapsed: 0.132 s
% 0.11/0.53  % (27420)Instructions burned: 50 (million)
% 0.11/0.53  % (27420)------------------------------
% 0.11/0.53  % (27420)------------------------------
% 0.11/0.53  % (27425)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.11/0.54  % (27416)Refutation not found, incomplete strategy% (27416)------------------------------
% 0.11/0.54  % (27416)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.11/0.54  % (27416)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.11/0.54  % (27416)Termination reason: Refutation not found, incomplete strategy
% 0.11/0.54  
% 0.11/0.54  % (27416)Memory used [KB]: 5884
% 0.11/0.54  % (27416)Time elapsed: 0.166 s
% 0.11/0.54  % (27416)Instructions burned: 13 (million)
% 0.11/0.54  % (27416)------------------------------
% 0.11/0.54  % (27416)------------------------------
% 0.11/0.54  % (27415)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)
% 0.11/0.54  TRYING [2]
% 0.11/0.55  % (27441)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)
% 0.11/0.55  % (27421)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)
% 0.11/0.56  % (27433)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.11/0.56  % (27439)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.11/0.57  % (27430)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)
% 0.11/0.57  TRYING [3]
% 0.11/0.57  % (27432)Instruction limit reached!
% 0.11/0.57  % (27432)------------------------------
% 0.11/0.57  % (27432)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.11/0.57  % (27432)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.11/0.57  % (27432)Termination reason: Unknown
% 0.11/0.57  % (27432)Termination phase: Finite model building constraint generation
% 0.11/0.57  
% 0.11/0.57  % (27432)Memory used [KB]: 8187
% 0.11/0.57  % (27432)Time elapsed: 0.205 s
% 0.11/0.57  % (27432)Instructions burned: 60 (million)
% 0.11/0.57  % (27432)------------------------------
% 0.11/0.57  % (27432)------------------------------
% 1.45/0.58  TRYING [1]
% 1.45/0.58  TRYING [1]
% 1.45/0.58  TRYING [2]
% 1.52/0.59  % (27418)Instruction limit reached!
% 1.52/0.59  % (27418)------------------------------
% 1.52/0.59  % (27418)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.59  % (27418)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.59  % (27418)Termination reason: Unknown
% 1.52/0.59  % (27418)Termination phase: Saturation
% 1.52/0.59  
% 1.52/0.59  % (27418)Memory used [KB]: 6524
% 1.52/0.59  % (27418)Time elapsed: 0.225 s
% 1.52/0.59  % (27418)Instructions burned: 51 (million)
% 1.52/0.59  % (27418)------------------------------
% 1.52/0.59  % (27418)------------------------------
% 1.52/0.60  % (27424)Instruction limit reached!
% 1.52/0.60  % (27424)------------------------------
% 1.52/0.60  % (27424)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.60  % (27424)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.60  % (27424)Termination reason: Unknown
% 1.52/0.60  % (27424)Termination phase: Saturation
% 1.52/0.60  
% 1.52/0.60  % (27424)Memory used [KB]: 2174
% 1.52/0.60  % (27424)Time elapsed: 0.232 s
% 1.52/0.60  % (27424)Instructions burned: 51 (million)
% 1.52/0.60  % (27424)------------------------------
% 1.52/0.60  % (27424)------------------------------
% 1.52/0.60  TRYING [2]
% 1.52/0.60  % (27419)Instruction limit reached!
% 1.52/0.60  % (27419)------------------------------
% 1.52/0.60  % (27419)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.60  % (27419)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.60  % (27419)Termination reason: Unknown
% 1.52/0.60  % (27419)Termination phase: Saturation
% 1.52/0.60  
% 1.52/0.60  % (27419)Memory used [KB]: 6524
% 1.52/0.60  % (27419)Time elapsed: 0.201 s
% 1.52/0.60  % (27419)Instructions burned: 52 (million)
% 1.52/0.60  % (27419)------------------------------
% 1.52/0.60  % (27419)------------------------------
% 1.79/0.63  % (27417)Instruction limit reached!
% 1.79/0.63  % (27417)------------------------------
% 1.79/0.63  % (27417)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.79/0.63  TRYING [3]
% 1.79/0.63  % (27421)Instruction limit reached!
% 1.79/0.63  % (27421)------------------------------
% 1.79/0.63  % (27421)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.80/0.63  TRYING [3]
% 1.80/0.63  % (27421)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.63  % (27421)Termination reason: Unknown
% 1.80/0.63  % (27421)Termination phase: Finite model building constraint generation
% 1.80/0.63  
% 1.80/0.63  % (27421)Memory used [KB]: 7803
% 1.80/0.63  % (27421)Time elapsed: 0.237 s
% 1.80/0.63  % (27421)Instructions burned: 53 (million)
% 1.80/0.63  % (27421)------------------------------
% 1.80/0.63  % (27421)------------------------------
% 1.80/0.63  % (27417)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.63  % (27417)Termination reason: Unknown
% 1.80/0.63  % (27417)Termination phase: Saturation
% 1.80/0.63  
% 1.80/0.63  % (27417)Memory used [KB]: 1663
% 1.80/0.63  % (27417)Time elapsed: 0.243 s
% 1.80/0.63  % (27417)Instructions burned: 37 (million)
% 1.80/0.63  % (27417)------------------------------
% 1.80/0.63  % (27417)------------------------------
% 1.80/0.64  % (27429)Instruction limit reached!
% 1.80/0.64  % (27429)------------------------------
% 1.80/0.64  % (27429)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.80/0.64  % (27429)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.64  % (27429)Termination reason: Unknown
% 1.80/0.64  % (27429)Termination phase: Saturation
% 1.80/0.64  
% 1.80/0.64  % (27429)Memory used [KB]: 7164
% 1.80/0.64  % (27429)Time elapsed: 0.047 s
% 1.80/0.64  % (27429)Instructions burned: 69 (million)
% 1.80/0.64  % (27429)------------------------------
% 1.80/0.64  % (27429)------------------------------
% 1.80/0.65  % (27425)Instruction limit reached!
% 1.80/0.65  % (27425)------------------------------
% 1.80/0.65  % (27425)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.80/0.65  % (27425)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.65  % (27425)Termination reason: Unknown
% 1.80/0.65  % (27425)Termination phase: Saturation
% 1.80/0.65  
% 1.80/0.65  % (27425)Memory used [KB]: 6652
% 1.80/0.65  % (27425)Time elapsed: 0.232 s
% 1.80/0.65  % (27425)Instructions burned: 50 (million)
% 1.80/0.65  % (27425)------------------------------
% 1.80/0.65  % (27425)------------------------------
% 1.80/0.66  % (27445)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)
% 1.80/0.68  % (27447)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)
% 1.80/0.69  % (27428)Instruction limit reached!
% 1.80/0.69  % (27428)------------------------------
% 1.80/0.69  % (27428)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.80/0.69  % (27428)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.69  % (27428)Termination reason: Unknown
% 1.80/0.69  % (27428)Termination phase: Saturation
% 1.80/0.69  
% 1.80/0.69  % (27428)Memory used [KB]: 7164
% 1.80/0.69  % (27428)Time elapsed: 0.322 s
% 1.80/0.69  % (27428)Instructions burned: 101 (million)
% 1.80/0.69  % (27428)------------------------------
% 1.80/0.69  % (27428)------------------------------
% 1.80/0.69  % (27446)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 (2998ds/211Mi)
% 1.80/0.70  % (27427)Instruction limit reached!
% 1.80/0.70  % (27427)------------------------------
% 1.80/0.70  % (27427)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.80/0.70  % (27427)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.70  % (27427)Termination reason: Unknown
% 1.80/0.70  % (27427)Termination phase: Saturation
% 1.80/0.70  
% 1.80/0.70  % (27427)Memory used [KB]: 7164
% 1.80/0.70  % (27427)Time elapsed: 0.313 s
% 1.80/0.70  % (27427)Instructions burned: 101 (million)
% 1.80/0.70  % (27427)------------------------------
% 1.80/0.70  % (27427)------------------------------
% 1.80/0.70  % (27436)Instruction limit reached!
% 1.80/0.70  % (27436)------------------------------
% 1.80/0.70  % (27436)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.80/0.70  % (27436)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.70  % (27436)Termination reason: Unknown
% 1.80/0.70  % (27436)Termination phase: Saturation
% 1.80/0.70  
% 1.80/0.70  % (27436)Memory used [KB]: 8059
% 1.80/0.70  % (27436)Time elapsed: 0.331 s
% 1.80/0.70  % (27436)Instructions burned: 140 (million)
% 1.80/0.70  % (27436)------------------------------
% 1.80/0.70  % (27436)------------------------------
% 1.80/0.70  % (27431)Instruction limit reached!
% 1.80/0.70  % (27431)------------------------------
% 1.80/0.70  % (27431)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.80/0.70  % (27431)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.70  % (27431)Termination reason: Unknown
% 1.80/0.70  % (27431)Termination phase: Saturation
% 1.80/0.70  
% 1.80/0.70  % (27431)Memory used [KB]: 6780
% 1.80/0.70  % (27431)Time elapsed: 0.335 s
% 1.80/0.70  % (27431)Instructions burned: 99 (million)
% 1.80/0.70  % (27431)------------------------------
% 1.80/0.70  % (27431)------------------------------
% 1.80/0.70  % (27441)Instruction limit reached!
% 1.80/0.70  % (27441)------------------------------
% 1.80/0.70  % (27441)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.80/0.70  % (27441)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.70  % (27441)Termination reason: Unknown
% 1.80/0.70  % (27441)Termination phase: Saturation
% 1.80/0.70  
% 1.80/0.70  % (27441)Memory used [KB]: 7036
% 1.80/0.70  % (27441)Time elapsed: 0.063 s
% 1.80/0.70  % (27441)Instructions burned: 68 (million)
% 1.80/0.70  % (27441)------------------------------
% 1.80/0.70  % (27441)------------------------------
% 1.80/0.70  % (27434)Instruction limit reached!
% 1.80/0.70  % (27434)------------------------------
% 1.80/0.70  % (27434)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.80/0.70  % (27434)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.70  % (27434)Termination reason: Unknown
% 1.80/0.70  % (27434)Termination phase: Saturation
% 1.80/0.70  
% 1.80/0.70  % (27434)Memory used [KB]: 2814
% 1.80/0.70  % (27434)Time elapsed: 0.321 s
% 1.80/0.70  % (27434)Instructions burned: 100 (million)
% 1.80/0.70  % (27434)------------------------------
% 1.80/0.70  % (27434)------------------------------
% 1.80/0.70  % (27448)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/920Mi)
% 2.30/0.71  % (27426)Instruction limit reached!
% 2.30/0.71  % (27426)------------------------------
% 2.30/0.71  % (27426)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.30/0.71  % (27426)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.30/0.71  % (27426)Termination reason: Unknown
% 2.30/0.71  % (27426)Termination phase: Saturation
% 2.30/0.71  
% 2.30/0.71  % (27426)Memory used [KB]: 7547
% 2.30/0.71  % (27426)Time elapsed: 0.340 s
% 2.30/0.71  % (27426)Instructions burned: 100 (million)
% 2.30/0.71  % (27426)------------------------------
% 2.30/0.71  % (27426)------------------------------
% 2.30/0.74  % (27430)Instruction limit reached!
% 2.30/0.74  % (27430)------------------------------
% 2.30/0.74  % (27430)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.30/0.74  % (27430)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.30/0.74  % (27430)Termination reason: Unknown
% 2.30/0.74  % (27430)Termination phase: Saturation
% 2.30/0.74  
% 2.30/0.74  % (27430)Memory used [KB]: 2430
% 2.30/0.74  % (27430)Time elapsed: 0.323 s
% 2.30/0.74  % (27430)Instructions burned: 75 (million)
% 2.30/0.74  % (27430)------------------------------
% 2.30/0.74  % (27430)------------------------------
% 2.30/0.76  % (27433)Instruction limit reached!
% 2.30/0.76  % (27433)------------------------------
% 2.30/0.76  % (27433)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.30/0.76  % (27433)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.30/0.76  % (27433)Termination reason: Unknown
% 2.30/0.76  % (27433)Termination phase: Saturation
% 2.30/0.76  
% 2.30/0.76  % (27433)Memory used [KB]: 7419
% 2.30/0.76  % (27433)Time elapsed: 0.358 s
% 2.30/0.76  % (27433)Instructions burned: 100 (million)
% 2.30/0.76  % (27433)------------------------------
% 2.30/0.76  % (27433)------------------------------
% 2.30/0.76  % (27449)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/934Mi)
% 2.30/0.76  % (27450)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)
% 2.30/0.77  % (27452)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)
% 2.52/0.77  % (27451)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)
% 2.52/0.79  % (27435)Instruction limit reached!
% 2.52/0.79  % (27435)------------------------------
% 2.52/0.79  % (27435)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.52/0.79  % (27435)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.52/0.79  % (27435)Termination reason: Unknown
% 2.52/0.79  % (27435)Termination phase: Saturation
% 2.52/0.79  
% 2.52/0.79  % (27435)Memory used [KB]: 6396
% 2.52/0.79  % (27435)Time elapsed: 0.368 s
% 2.52/0.79  % (27435)Instructions burned: 177 (million)
% 2.52/0.79  % (27435)------------------------------
% 2.52/0.79  % (27435)------------------------------
% 2.52/0.80  % (27455)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 (2996ds/90Mi)
% 2.52/0.82  % (27456)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 (2996ds/2016Mi)
% 2.52/0.83  % (27453)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)
% 2.52/0.83  TRYING [4]
% 2.52/0.84  WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 2.52/0.84  % (27454)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)
% 2.52/0.85  % (27459)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)
% 2.52/0.85  % (27447)Instruction limit reached!
% 2.52/0.85  % (27447)------------------------------
% 2.52/0.85  % (27447)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.52/0.85  % (27447)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.52/0.85  % (27447)Termination reason: Unknown
% 2.52/0.85  % (27447)Termination phase: Saturation
% 2.52/0.85  
% 2.52/0.85  % (27447)Memory used [KB]: 6780
% 2.52/0.85  % (27447)Time elapsed: 0.251 s
% 2.52/0.85  % (27447)Instructions burned: 91 (million)
% 2.52/0.85  % (27447)------------------------------
% 2.52/0.85  % (27447)------------------------------
% 2.78/0.86  % (27457)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/3735Mi)
% 2.78/0.87  % (27458)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)
% 2.78/0.87  % (27442)Instruction limit reached!
% 2.78/0.87  % (27442)------------------------------
% 2.78/0.87  % (27442)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.78/0.87  % (27442)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.78/0.87  % (27442)Termination reason: Unknown
% 2.78/0.87  % (27442)Termination phase: Saturation
% 2.78/0.87  
% 2.78/0.87  % (27442)Memory used [KB]: 4093
% 2.78/0.87  % (27442)Time elapsed: 0.468 s
% 2.78/0.87  % (27442)Instructions burned: 177 (million)
% 2.78/0.87  % (27442)------------------------------
% 2.78/0.87  % (27442)------------------------------
% 2.78/0.87  % (27460)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4756Mi)
% 2.78/0.87  % (27461)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)
% 2.78/0.88  % (27462)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)
% 2.78/0.88  % (27463)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)
% 2.82/0.91  % (27452)Instruction limit reached!
% 2.82/0.91  % (27452)------------------------------
% 2.82/0.91  % (27452)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.82/0.92  % (27452)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.82/0.92  % (27452)Termination reason: Unknown
% 2.82/0.92  % (27452)Termination phase: Saturation
% 2.82/0.92  
% 2.82/0.92  % (27452)Memory used [KB]: 7164
% 2.82/0.92  % (27452)Time elapsed: 0.038 s
% 2.82/0.92  % (27452)Instructions burned: 69 (million)
% 2.82/0.92  % (27452)------------------------------
% 2.82/0.92  % (27452)------------------------------
% 2.97/0.94  % (27464)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 (2996ds/2134Mi)
% 2.97/0.96  % (27466)dis+2_1:64_add=large:bce=on:bd=off:i=4585:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4585Mi)
% 2.97/0.98  % (27465)ott-1_1:1_sp=const_frequency:i=2891:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/2891Mi)
% 3.17/1.01  % (27455)Instruction limit reached!
% 3.17/1.01  % (27455)------------------------------
% 3.17/1.01  % (27455)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.17/1.01  % (27455)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.17/1.01  % (27455)Termination reason: Unknown
% 3.17/1.01  % (27455)Termination phase: Saturation
% 3.17/1.01  
% 3.17/1.01  % (27455)Memory used [KB]: 7036
% 3.17/1.01  % (27455)Time elapsed: 0.259 s
% 3.17/1.01  % (27455)Instructions burned: 90 (million)
% 3.17/1.01  % (27455)------------------------------
% 3.17/1.01  % (27455)------------------------------
% 3.17/1.03  % (27462)Instruction limit reached!
% 3.17/1.03  % (27462)------------------------------
% 3.17/1.03  % (27462)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.17/1.03  % (27462)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.17/1.03  % (27462)Termination reason: Unknown
% 3.17/1.03  % (27462)Termination phase: Saturation
% 3.17/1.03  
% 3.17/1.03  % (27462)Memory used [KB]: 7164
% 3.17/1.03  % (27462)Time elapsed: 0.056 s
% 3.17/1.03  % (27462)Instructions burned: 68 (million)
% 3.17/1.03  % (27462)------------------------------
% 3.17/1.03  % (27462)------------------------------
% 3.17/1.04  % (27467)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 (2994ds/90Mi)
% 4.84/1.09  % (27469)dis+10_1:2_atotf=0.3:i=8004:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/8004Mi)
% 4.84/1.12  % (27468)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)
% 4.84/1.12  % (27446)Instruction limit reached!
% 4.84/1.12  % (27446)------------------------------
% 4.84/1.12  % (27446)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.84/1.12  % (27446)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.84/1.12  % (27446)Termination reason: Unknown
% 4.84/1.12  % (27446)Termination phase: Saturation
% 4.84/1.12  
% 4.84/1.12  % (27446)Memory used [KB]: 4477
% 4.84/1.12  % (27446)Time elapsed: 0.547 s
% 4.84/1.12  % (27446)Instructions burned: 211 (million)
% 4.84/1.12  % (27446)------------------------------
% 4.84/1.12  % (27446)------------------------------
% 5.43/1.18  % (27467)Instruction limit reached!
% 5.43/1.18  % (27467)------------------------------
% 5.43/1.18  % (27467)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.43/1.18  % (27467)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.43/1.18  % (27467)Termination reason: Unknown
% 5.43/1.18  % (27467)Termination phase: Saturation
% 5.43/1.18  
% 5.43/1.18  % (27467)Memory used [KB]: 7164
% 5.43/1.18  % (27467)Time elapsed: 0.270 s
% 5.43/1.18  % (27467)Instructions burned: 92 (million)
% 5.43/1.18  % (27467)------------------------------
% 5.43/1.18  % (27467)------------------------------
% 5.60/1.20  % (27470)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 (2993ds/9965Mi)
% 5.74/1.22  % (27471)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)
% 5.74/1.30  % (27444)Instruction limit reached!
% 5.74/1.30  % (27444)------------------------------
% 5.74/1.30  % (27444)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.74/1.30  % (27444)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.74/1.30  % (27444)Termination reason: Unknown
% 5.74/1.30  % (27444)Termination phase: Saturation
% 5.74/1.30  
% 5.74/1.30  % (27444)Memory used [KB]: 12281
% 5.74/1.30  % (27444)Time elapsed: 0.917 s
% 5.74/1.30  % (27444)Instructions burned: 355 (million)
% 5.74/1.30  % (27444)------------------------------
% 5.74/1.30  % (27444)------------------------------
% 6.36/1.32  % (27472)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)
% 6.36/1.34  % (27473)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 (2991ds/1824Mi)
% 6.82/1.40  % (27445)Instruction limit reached!
% 6.82/1.40  % (27445)------------------------------
% 6.82/1.40  % (27445)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.82/1.40  % (27445)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.82/1.40  % (27445)Termination reason: Unknown
% 6.82/1.40  % (27445)Termination phase: Saturation
% 6.82/1.40  
% 6.82/1.40  % (27445)Memory used [KB]: 9850
% 6.82/1.40  % (27445)Time elapsed: 0.813 s
% 6.82/1.40  % (27445)Instructions burned: 388 (million)
% 6.82/1.40  % (27445)------------------------------
% 6.82/1.40  % (27445)------------------------------
% 6.82/1.42  % (27458)First to succeed.
% 6.82/1.45  % (27458)Refutation found. Thanks to Tanya!
% 6.82/1.45  % SZS status Unsatisfiable for theBenchmark
% 6.82/1.45  % SZS output start Proof for theBenchmark
% See solution above
% 6.82/1.45  % (27458)------------------------------
% 6.82/1.45  % (27458)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.82/1.45  % (27458)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.82/1.45  % (27458)Termination reason: Refutation
% 6.82/1.45  
% 6.82/1.45  % (27458)Memory used [KB]: 1918
% 6.82/1.45  % (27458)Time elapsed: 0.671 s
% 6.82/1.45  % (27458)Instructions burned: 349 (million)
% 6.82/1.45  % (27458)------------------------------
% 6.82/1.45  % (27458)------------------------------
% 6.82/1.45  % (27414)Success in time 1.098 s
%------------------------------------------------------------------------------