TSTP Solution File: KRS102+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : KRS102+1 : TPTP v8.1.0. Released v3.1.0.
% 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 : n010.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 17:30:48 EDT 2022

% Result   : Unsatisfiable 2.26s 0.66s
% Output   : Refutation 2.26s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   57
% Syntax   : Number of formulae    :  382 (  16 unt;   0 def)
%            Number of atoms       : 1286 ( 514 equ)
%            Maximal formula atoms :    7 (   3 avg)
%            Number of connectives : 1498 ( 594   ~; 826   |;  40   &)
%                                         (  38 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   21 (  19 usr;  19 prp; 0-2 aty)
%            Number of functors    :   20 (  20 usr;  20 con; 0-0 aty)
%            Number of variables   :  111 ( 111   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1190,plain,
    $false,
    inference(avatar_sat_refutation,[],[f292,f301,f311,f320,f321,f330,f333,f340,f341,f342,f343,f344,f345,f347,f348,f349,f360,f361,f362,f366,f367,f368,f370,f371,f372,f374,f375,f376,f419,f448,f462,f476,f477,f536,f537,f629,f630,f655,f658,f659,f660,f661,f705,f740,f884,f938,f987,f1029,f1030,f1048,f1109,f1123,f1128,f1129,f1131,f1181,f1182]) ).

fof(f1182,plain,
    ( ~ spl0_2
    | spl0_7
    | ~ spl0_9
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1180]) ).

fof(f1180,plain,
    ( $false
    | ~ spl0_2
    | spl0_7
    | ~ spl0_9
    | ~ spl0_18 ),
    inference(unit_resulting_resolution,[],[f238,f1171,f1165]) ).

fof(f1165,plain,
    ( ! [X0] :
        ( ~ cTorF(X0)
        | iminus1 = X0 )
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_18 ),
    inference(duplicate_literal_removal,[],[f1164]) ).

fof(f1164,plain,
    ( ! [X0] :
        ( ~ cTorF(X0)
        | iminus1 = X0
        | iminus1 = X0 )
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f1163,f1139]) ).

fof(f1139,plain,
    ( iminus1 = iminus3
    | ~ spl0_2
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f269,f359]) ).

fof(f359,plain,
    ( iminus1 = iT
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f357]) ).

fof(f357,plain,
    ( spl0_18
  <=> iminus1 = iT ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f269,plain,
    ( iminus3 = iT
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f267]) ).

fof(f267,plain,
    ( spl0_2
  <=> iminus3 = iT ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f1163,plain,
    ( ! [X0] :
        ( ~ cTorF(X0)
        | iminus3 = X0
        | iminus1 = X0 )
    | ~ spl0_9
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f150,f1154]) ).

fof(f1154,plain,
    ( iminus1 = iplus3
    | ~ spl0_9
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f300,f359]) ).

fof(f300,plain,
    ( iplus3 = iT
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f298]) ).

fof(f298,plain,
    ( spl0_9
  <=> iplus3 = iT ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f150,plain,
    ! [X0] :
      ( iplus3 = X0
      | ~ cTorF(X0)
      | iminus3 = X0 ),
    inference(cnf_transformation,[],[f113]) ).

fof(f113,plain,
    ! [X0] :
      ( ( iplus3 = X0
        | iminus3 = X0
        | ~ cTorF(X0) )
      & ( cTorF(X0)
        | ( iplus3 != X0
          & iminus3 != X0 ) ) ),
    inference(flattening,[],[f112]) ).

fof(f112,plain,
    ! [X0] :
      ( ( iplus3 = X0
        | iminus3 = X0
        | ~ cTorF(X0) )
      & ( cTorF(X0)
        | ( iplus3 != X0
          & iminus3 != X0 ) ) ),
    inference(nnf_transformation,[],[f84]) ).

fof(f84,plain,
    ! [X0] :
      ( ( iplus3 = X0
        | iminus3 = X0 )
    <=> cTorF(X0) ),
    inference(rectify,[],[f13]) ).

fof(f13,axiom,
    ! [X2] :
      ( ( iminus3 = X2
        | iplus3 = X2 )
    <=> cTorF(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).

fof(f1171,plain,
    ( iplus1 != iminus1
    | spl0_7
    | ~ spl0_18 ),
    inference(superposition,[],[f290,f359]) ).

fof(f290,plain,
    ( iplus1 != iT
    | spl0_7 ),
    inference(avatar_component_clause,[],[f289]) ).

fof(f289,plain,
    ( spl0_7
  <=> iplus1 = iT ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f238,plain,
    cTorF(iplus1),
    inference(equality_resolution,[],[f137]) ).

fof(f137,plain,
    ! [X0] :
      ( cTorF(X0)
      | iplus1 != X0 ),
    inference(cnf_transformation,[],[f111]) ).

fof(f111,plain,
    ! [X0] :
      ( ( iplus1 = X0
        | iminus1 = X0
        | ~ cTorF(X0) )
      & ( cTorF(X0)
        | ( iplus1 != X0
          & iminus1 != X0 ) ) ),
    inference(flattening,[],[f110]) ).

fof(f110,plain,
    ! [X0] :
      ( ( iplus1 = X0
        | iminus1 = X0
        | ~ cTorF(X0) )
      & ( cTorF(X0)
        | ( iplus1 != X0
          & iminus1 != X0 ) ) ),
    inference(nnf_transformation,[],[f96]) ).

fof(f96,plain,
    ! [X0] :
      ( ( iplus1 = X0
        | iminus1 = X0 )
    <=> cTorF(X0) ),
    inference(rectify,[],[f8]) ).

fof(f8,axiom,
    ! [X2] :
      ( cTorF(X2)
    <=> ( iminus1 = X2
        | iplus1 = X2 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).

fof(f1181,plain,
    ( ~ spl0_2
    | ~ spl0_9
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1176]) ).

fof(f1176,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_9
    | ~ spl0_18 ),
    inference(unit_resulting_resolution,[],[f249,f1153,f1165]) ).

fof(f1153,plain,
    ( iminus1 != iF
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f231,f359]) ).

fof(f231,plain,
    iT != iF,
    inference(cnf_transformation,[],[f83]) ).

fof(f83,axiom,
    iT != iF,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_77) ).

fof(f249,plain,
    cTorF(iF),
    inference(equality_resolution,[],[f187]) ).

fof(f187,plain,
    ! [X0] :
      ( cTorF(X0)
      | iF != X0 ),
    inference(cnf_transformation,[],[f121]) ).

fof(f121,plain,
    ! [X0] :
      ( ( iF = X0
        | iT = X0
        | ~ cTorF(X0) )
      & ( cTorF(X0)
        | ( iF != X0
          & iT != X0 ) ) ),
    inference(flattening,[],[f120]) ).

fof(f120,plain,
    ! [X0] :
      ( ( iF = X0
        | iT = X0
        | ~ cTorF(X0) )
      & ( cTorF(X0)
        | ( iF != X0
          & iT != X0 ) ) ),
    inference(nnf_transformation,[],[f99]) ).

fof(f99,plain,
    ! [X0] :
      ( ( iF = X0
        | iT = X0 )
    <=> cTorF(X0) ),
    inference(rectify,[],[f14]) ).

fof(f14,axiom,
    ! [X2] :
      ( cTorF(X2)
    <=> ( iT = X2
        | iF = X2 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).

fof(f1131,plain,
    ( ~ spl0_5
    | ~ spl0_11
    | spl0_16 ),
    inference(avatar_contradiction_clause,[],[f1113]) ).

fof(f1113,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_11
    | spl0_16 ),
    inference(unit_resulting_resolution,[],[f260,f1056,f1082]) ).

fof(f1082,plain,
    ( ! [X0] :
        ( ~ cTorF(X0)
        | iplus2 = X0 )
    | ~ spl0_5
    | ~ spl0_11 ),
    inference(duplicate_literal_removal,[],[f1080]) ).

fof(f1080,plain,
    ( ! [X0] :
        ( iplus2 = X0
        | iplus2 = X0
        | ~ cTorF(X0) )
    | ~ spl0_5
    | ~ spl0_11 ),
    inference(backward_demodulation,[],[f213,f1079]) ).

fof(f1079,plain,
    ( iplus2 = iminus2
    | ~ spl0_5
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f310,f282]) ).

fof(f282,plain,
    ( iplus2 = iT
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f280]) ).

fof(f280,plain,
    ( spl0_5
  <=> iplus2 = iT ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f310,plain,
    ( iminus2 = iT
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f308]) ).

fof(f308,plain,
    ( spl0_11
  <=> iminus2 = iT ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f213,plain,
    ! [X0] :
      ( iplus2 = X0
      | iminus2 = X0
      | ~ cTorF(X0) ),
    inference(cnf_transformation,[],[f127]) ).

fof(f127,plain,
    ! [X0] :
      ( ( iplus2 = X0
        | iminus2 = X0
        | ~ cTorF(X0) )
      & ( cTorF(X0)
        | ( iplus2 != X0
          & iminus2 != X0 ) ) ),
    inference(flattening,[],[f126]) ).

fof(f126,plain,
    ! [X0] :
      ( ( iplus2 = X0
        | iminus2 = X0
        | ~ cTorF(X0) )
      & ( cTorF(X0)
        | ( iplus2 != X0
          & iminus2 != X0 ) ) ),
    inference(nnf_transformation,[],[f92]) ).

fof(f92,plain,
    ! [X0] :
      ( ( iplus2 = X0
        | iminus2 = X0 )
    <=> cTorF(X0) ),
    inference(rectify,[],[f10]) ).

fof(f10,axiom,
    ! [X2] :
      ( cTorF(X2)
    <=> ( iplus2 = X2
        | iminus2 = X2 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).

fof(f1056,plain,
    ( iplus2 != iplus5
    | ~ spl0_5
    | spl0_16 ),
    inference(backward_demodulation,[],[f337,f282]) ).

fof(f337,plain,
    ( iplus5 != iT
    | spl0_16 ),
    inference(avatar_component_clause,[],[f336]) ).

fof(f336,plain,
    ( spl0_16
  <=> iplus5 = iT ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f260,plain,
    cTorF(iplus5),
    inference(equality_resolution,[],[f224]) ).

fof(f224,plain,
    ! [X0] :
      ( cTorF(X0)
      | iplus5 != X0 ),
    inference(cnf_transformation,[],[f131]) ).

fof(f131,plain,
    ! [X0] :
      ( ( cTorF(X0)
        | ( iminus5 != X0
          & iplus5 != X0 ) )
      & ( iminus5 = X0
        | iplus5 = X0
        | ~ cTorF(X0) ) ),
    inference(flattening,[],[f130]) ).

fof(f130,plain,
    ! [X0] :
      ( ( cTorF(X0)
        | ( iminus5 != X0
          & iplus5 != X0 ) )
      & ( iminus5 = X0
        | iplus5 = X0
        | ~ cTorF(X0) ) ),
    inference(nnf_transformation,[],[f88]) ).

fof(f88,plain,
    ! [X0] :
      ( cTorF(X0)
    <=> ( iminus5 = X0
        | iplus5 = X0 ) ),
    inference(rectify,[],[f12]) ).

fof(f12,axiom,
    ! [X2] :
      ( cTorF(X2)
    <=> ( iplus5 = X2
        | iminus5 = X2 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).

fof(f1129,plain,
    ( ~ spl0_5
    | ~ spl0_11
    | spl0_14 ),
    inference(avatar_contradiction_clause,[],[f1122]) ).

fof(f1122,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_11
    | spl0_14 ),
    inference(unit_resulting_resolution,[],[f258,f1091,f1082]) ).

fof(f1091,plain,
    ( iplus4 != iplus2
    | ~ spl0_5
    | spl0_14 ),
    inference(superposition,[],[f324,f282]) ).

fof(f324,plain,
    ( iplus4 != iT
    | spl0_14 ),
    inference(avatar_component_clause,[],[f323]) ).

fof(f323,plain,
    ( spl0_14
  <=> iplus4 = iT ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f258,plain,
    cTorF(iplus4),
    inference(equality_resolution,[],[f220]) ).

fof(f220,plain,
    ! [X0] :
      ( cTorF(X0)
      | iplus4 != X0 ),
    inference(cnf_transformation,[],[f129]) ).

fof(f129,plain,
    ! [X0] :
      ( ( iminus4 = X0
        | iplus4 = X0
        | ~ cTorF(X0) )
      & ( cTorF(X0)
        | ( iminus4 != X0
          & iplus4 != X0 ) ) ),
    inference(flattening,[],[f128]) ).

fof(f128,plain,
    ! [X0] :
      ( ( iminus4 = X0
        | iplus4 = X0
        | ~ cTorF(X0) )
      & ( cTorF(X0)
        | ( iminus4 != X0
          & iplus4 != X0 ) ) ),
    inference(nnf_transformation,[],[f94]) ).

fof(f94,plain,
    ! [X0] :
      ( ( iminus4 = X0
        | iplus4 = X0 )
    <=> cTorF(X0) ),
    inference(rectify,[],[f9]) ).

fof(f9,axiom,
    ! [X2] :
      ( ( iplus4 = X2
        | iminus4 = X2 )
    <=> cTorF(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).

fof(f1128,plain,
    ( ~ spl0_5
    | ~ spl0_11
    | spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1120]) ).

fof(f1120,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_11
    | spl0_18 ),
    inference(unit_resulting_resolution,[],[f239,f1092,f1082]) ).

fof(f1092,plain,
    ( iminus1 != iplus2
    | ~ spl0_5
    | spl0_18 ),
    inference(superposition,[],[f358,f282]) ).

fof(f358,plain,
    ( iminus1 != iT
    | spl0_18 ),
    inference(avatar_component_clause,[],[f357]) ).

fof(f239,plain,
    cTorF(iminus1),
    inference(equality_resolution,[],[f136]) ).

fof(f136,plain,
    ! [X0] :
      ( cTorF(X0)
      | iminus1 != X0 ),
    inference(cnf_transformation,[],[f111]) ).

fof(f1123,plain,
    ( ~ spl0_5
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1116]) ).

fof(f1116,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_11 ),
    inference(unit_resulting_resolution,[],[f249,f1077,f1082]) ).

fof(f1077,plain,
    ( iplus2 != iF
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f231,f282]) ).

fof(f1109,plain,
    ( ~ spl0_5
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1096]) ).

fof(f1096,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(unit_resulting_resolution,[],[f249,f1077,f1073]) ).

fof(f1073,plain,
    ( ! [X0] :
        ( ~ cTorF(X0)
        | iplus2 = X0 )
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(duplicate_literal_removal,[],[f1072]) ).

fof(f1072,plain,
    ( ! [X0] :
        ( iplus2 = X0
        | iplus2 = X0
        | ~ cTorF(X0) )
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f1071,f282]) ).

fof(f1071,plain,
    ( ! [X0] :
        ( iT = X0
        | ~ cTorF(X0)
        | iplus2 = X0 )
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f771,f1060]) ).

fof(f1060,plain,
    ( iplus2 = iminus9
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f305,f282]) ).

fof(f305,plain,
    ( iT = iminus9
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f303]) ).

fof(f303,plain,
    ( spl0_10
  <=> iT = iminus9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f771,plain,
    ( ! [X0] :
        ( iT = X0
        | iminus9 = X0
        | ~ cTorF(X0) )
    | ~ spl0_13 ),
    inference(backward_demodulation,[],[f154,f319]) ).

fof(f319,plain,
    ( iT = iplus9
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f317]) ).

fof(f317,plain,
    ( spl0_13
  <=> iT = iplus9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f154,plain,
    ! [X0] :
      ( iminus9 = X0
      | iplus9 = X0
      | ~ cTorF(X0) ),
    inference(cnf_transformation,[],[f115]) ).

fof(f115,plain,
    ! [X0] :
      ( ( iminus9 = X0
        | iplus9 = X0
        | ~ cTorF(X0) )
      & ( cTorF(X0)
        | ( iminus9 != X0
          & iplus9 != X0 ) ) ),
    inference(flattening,[],[f114]) ).

fof(f114,plain,
    ! [X0] :
      ( ( iminus9 = X0
        | iplus9 = X0
        | ~ cTorF(X0) )
      & ( cTorF(X0)
        | ( iminus9 != X0
          & iplus9 != X0 ) ) ),
    inference(nnf_transformation,[],[f87]) ).

fof(f87,plain,
    ! [X0] :
      ( ( iminus9 = X0
        | iplus9 = X0 )
    <=> cTorF(X0) ),
    inference(rectify,[],[f17]) ).

fof(f17,axiom,
    ! [X2] :
      ( ( iplus9 = X2
        | iminus9 = X2 )
    <=> cTorF(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_11) ).

fof(f1048,plain,
    ( ~ spl0_3
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1044]) ).

fof(f1044,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(unit_resulting_resolution,[],[f249,f968,f1037]) ).

fof(f1037,plain,
    ( ! [X0] :
        ( ~ cTorF(X0)
        | iminus1 = X0 )
    | ~ spl0_3
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(duplicate_literal_removal,[],[f1036]) ).

fof(f1036,plain,
    ( ! [X0] :
        ( iminus1 = X0
        | iminus1 = X0
        | ~ cTorF(X0) )
    | ~ spl0_3
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f993,f996]) ).

fof(f996,plain,
    ( iminus1 = iminus6
    | ~ spl0_17
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f354,f359]) ).

fof(f354,plain,
    ( iT = iminus6
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f352]) ).

fof(f352,plain,
    ( spl0_17
  <=> iT = iminus6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f993,plain,
    ( ! [X0] :
        ( iminus6 = X0
        | iminus1 = X0
        | ~ cTorF(X0) )
    | ~ spl0_3
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f165,f972]) ).

fof(f972,plain,
    ( iminus1 = iplus6
    | ~ spl0_3
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f273,f359]) ).

fof(f273,plain,
    ( iT = iplus6
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f271]) ).

fof(f271,plain,
    ( spl0_3
  <=> iT = iplus6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f165,plain,
    ! [X0] :
      ( ~ cTorF(X0)
      | iplus6 = X0
      | iminus6 = X0 ),
    inference(cnf_transformation,[],[f117]) ).

fof(f117,plain,
    ! [X0] :
      ( ( iplus6 = X0
        | iminus6 = X0
        | ~ cTorF(X0) )
      & ( cTorF(X0)
        | ( iplus6 != X0
          & iminus6 != X0 ) ) ),
    inference(flattening,[],[f116]) ).

fof(f116,plain,
    ! [X0] :
      ( ( iplus6 = X0
        | iminus6 = X0
        | ~ cTorF(X0) )
      & ( cTorF(X0)
        | ( iplus6 != X0
          & iminus6 != X0 ) ) ),
    inference(nnf_transformation,[],[f95]) ).

fof(f95,plain,
    ! [X0] :
      ( ( iplus6 = X0
        | iminus6 = X0 )
    <=> cTorF(X0) ),
    inference(rectify,[],[f16]) ).

fof(f16,axiom,
    ! [X2] :
      ( cTorF(X2)
    <=> ( iminus6 = X2
        | iplus6 = X2 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_10) ).

fof(f968,plain,
    ( iminus1 != iF
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f231,f359]) ).

fof(f1030,plain,
    ( ~ spl0_8
    | ~ spl0_12
    | spl0_14
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1023]) ).

fof(f1023,plain,
    ( $false
    | ~ spl0_8
    | ~ spl0_12
    | spl0_14
    | ~ spl0_18 ),
    inference(unit_resulting_resolution,[],[f258,f995,f1019]) ).

fof(f1019,plain,
    ( ! [X0] :
        ( ~ cTorF(X0)
        | iminus1 = X0 )
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_18 ),
    inference(duplicate_literal_removal,[],[f1018]) ).

fof(f1018,plain,
    ( ! [X0] :
        ( iminus1 = X0
        | ~ cTorF(X0)
        | iminus1 = X0 )
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f975,f977]) ).

fof(f977,plain,
    ( iminus1 = iplus8
    | ~ spl0_8
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f296,f359]) ).

fof(f296,plain,
    ( iT = iplus8
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f294]) ).

fof(f294,plain,
    ( spl0_8
  <=> iT = iplus8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f975,plain,
    ( ! [X0] :
        ( iminus1 = X0
        | iplus8 = X0
        | ~ cTorF(X0) )
    | ~ spl0_12
    | ~ spl0_18 ),
    inference(backward_demodulation,[],[f202,f973]) ).

fof(f973,plain,
    ( iminus1 = iminus8
    | ~ spl0_12
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f315,f359]) ).

fof(f315,plain,
    ( iT = iminus8
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f313]) ).

fof(f313,plain,
    ( spl0_12
  <=> iT = iminus8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f202,plain,
    ! [X0] :
      ( iplus8 = X0
      | iminus8 = X0
      | ~ cTorF(X0) ),
    inference(cnf_transformation,[],[f125]) ).

fof(f125,plain,
    ! [X0] :
      ( ( cTorF(X0)
        | ( iminus8 != X0
          & iplus8 != X0 ) )
      & ( iminus8 = X0
        | iplus8 = X0
        | ~ cTorF(X0) ) ),
    inference(flattening,[],[f124]) ).

fof(f124,plain,
    ! [X0] :
      ( ( cTorF(X0)
        | ( iminus8 != X0
          & iplus8 != X0 ) )
      & ( iminus8 = X0
        | iplus8 = X0
        | ~ cTorF(X0) ) ),
    inference(nnf_transformation,[],[f90]) ).

fof(f90,plain,
    ! [X0] :
      ( cTorF(X0)
    <=> ( iminus8 = X0
        | iplus8 = X0 ) ),
    inference(rectify,[],[f15]) ).

fof(f15,axiom,
    ! [X2] :
      ( ( iminus8 = X2
        | iplus8 = X2 )
    <=> cTorF(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).

fof(f995,plain,
    ( iminus1 != iplus4
    | spl0_14
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f324,f359]) ).

fof(f1029,plain,
    ( ~ spl0_8
    | ~ spl0_12
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f1027]) ).

fof(f1027,plain,
    ( $false
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_18 ),
    inference(unit_resulting_resolution,[],[f249,f968,f1019]) ).

fof(f987,plain,
    ( ~ spl0_1
    | spl0_5
    | ~ spl0_6
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f980]) ).

fof(f980,plain,
    ( $false
    | ~ spl0_1
    | spl0_5
    | ~ spl0_6
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(unit_resulting_resolution,[],[f255,f898,f966]) ).

fof(f966,plain,
    ( ! [X0] :
        ( ~ cTorF(X0)
        | iminus1 = X0 )
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(duplicate_literal_removal,[],[f965]) ).

fof(f965,plain,
    ( ! [X0] :
        ( ~ cTorF(X0)
        | iminus1 = X0
        | iminus1 = X0 )
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f927,f899]) ).

fof(f899,plain,
    ( iminus1 = iminus7
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_18 ),
    inference(backward_demodulation,[],[f889,f893]) ).

fof(f893,plain,
    ( iminus1 = iminus4
    | ~ spl0_1
    | ~ spl0_18 ),
    inference(backward_demodulation,[],[f265,f359]) ).

fof(f265,plain,
    ( iminus4 = iT
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f263]) ).

fof(f263,plain,
    ( spl0_1
  <=> iminus4 = iT ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f889,plain,
    ( iminus4 = iminus7
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f286,f265]) ).

fof(f286,plain,
    ( iminus7 = iT
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f284]) ).

fof(f284,plain,
    ( spl0_6
  <=> iminus7 = iT ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f927,plain,
    ( ! [X0] :
        ( iminus7 = X0
        | iminus1 = X0
        | ~ cTorF(X0) )
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f182,f915]) ).

fof(f915,plain,
    ( iminus1 = iplus7
    | ~ spl0_15
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f329,f359]) ).

fof(f329,plain,
    ( iplus7 = iT
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f327]) ).

fof(f327,plain,
    ( spl0_15
  <=> iplus7 = iT ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f182,plain,
    ! [X0] :
      ( ~ cTorF(X0)
      | iminus7 = X0
      | iplus7 = X0 ),
    inference(cnf_transformation,[],[f119]) ).

fof(f119,plain,
    ! [X0] :
      ( ( cTorF(X0)
        | ( iplus7 != X0
          & iminus7 != X0 ) )
      & ( iplus7 = X0
        | iminus7 = X0
        | ~ cTorF(X0) ) ),
    inference(flattening,[],[f118]) ).

fof(f118,plain,
    ! [X0] :
      ( ( cTorF(X0)
        | ( iplus7 != X0
          & iminus7 != X0 ) )
      & ( iplus7 = X0
        | iminus7 = X0
        | ~ cTorF(X0) ) ),
    inference(nnf_transformation,[],[f97]) ).

fof(f97,plain,
    ! [X0] :
      ( cTorF(X0)
    <=> ( iplus7 = X0
        | iminus7 = X0 ) ),
    inference(rectify,[],[f11]) ).

fof(f11,axiom,
    ! [X2] :
      ( cTorF(X2)
    <=> ( iplus7 = X2
        | iminus7 = X2 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).

fof(f898,plain,
    ( iminus1 != iplus2
    | ~ spl0_1
    | spl0_5
    | ~ spl0_18 ),
    inference(backward_demodulation,[],[f887,f893]) ).

fof(f887,plain,
    ( iminus4 != iplus2
    | ~ spl0_1
    | spl0_5 ),
    inference(forward_demodulation,[],[f281,f265]) ).

fof(f281,plain,
    ( iplus2 != iT
    | spl0_5 ),
    inference(avatar_component_clause,[],[f280]) ).

fof(f255,plain,
    cTorF(iplus2),
    inference(equality_resolution,[],[f212]) ).

fof(f212,plain,
    ! [X0] :
      ( cTorF(X0)
      | iplus2 != X0 ),
    inference(cnf_transformation,[],[f127]) ).

fof(f938,plain,
    ( ~ spl0_2
    | ~ spl0_8
    | spl0_11
    | ~ spl0_12
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f933]) ).

fof(f933,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_8
    | spl0_11
    | ~ spl0_12
    | ~ spl0_18 ),
    inference(unit_resulting_resolution,[],[f256,f906,f925]) ).

fof(f925,plain,
    ( ! [X0] :
        ( ~ cTorF(X0)
        | iminus1 = X0 )
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_18 ),
    inference(backward_demodulation,[],[f912,f917]) ).

fof(f917,plain,
    ( iminus1 = iminus3
    | ~ spl0_2
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f269,f359]) ).

fof(f912,plain,
    ( ! [X0] :
        ( iminus3 = X0
        | ~ cTorF(X0) )
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(duplicate_literal_removal,[],[f911]) ).

fof(f911,plain,
    ( ! [X0] :
        ( ~ cTorF(X0)
        | iminus3 = X0
        | iminus3 = X0 )
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(backward_demodulation,[],[f905,f775]) ).

fof(f775,plain,
    ( iminus3 = iplus8
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(backward_demodulation,[],[f296,f269]) ).

fof(f905,plain,
    ( ! [X0] :
        ( iplus8 = X0
        | iminus3 = X0
        | ~ cTorF(X0) )
    | ~ spl0_2
    | ~ spl0_12 ),
    inference(backward_demodulation,[],[f202,f776]) ).

fof(f776,plain,
    ( iminus3 = iminus8
    | ~ spl0_2
    | ~ spl0_12 ),
    inference(backward_demodulation,[],[f315,f269]) ).

fof(f906,plain,
    ( iminus1 != iminus2
    | spl0_11
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f309,f359]) ).

fof(f309,plain,
    ( iminus2 != iT
    | spl0_11 ),
    inference(avatar_component_clause,[],[f308]) ).

fof(f256,plain,
    cTorF(iminus2),
    inference(equality_resolution,[],[f211]) ).

fof(f211,plain,
    ! [X0] :
      ( cTorF(X0)
      | iminus2 != X0 ),
    inference(cnf_transformation,[],[f127]) ).

fof(f884,plain,
    ( ~ spl0_2
    | ~ spl0_5
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f879]) ).

fof(f879,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_9 ),
    inference(unit_resulting_resolution,[],[f249,f783,f859]) ).

fof(f859,plain,
    ( ! [X0] :
        ( ~ cTorF(X0)
        | iplus2 = X0 )
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_9 ),
    inference(duplicate_literal_removal,[],[f858]) ).

fof(f858,plain,
    ( ! [X0] :
        ( iplus2 = X0
        | ~ cTorF(X0)
        | iplus2 = X0 )
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f798,f799]) ).

fof(f799,plain,
    ( iplus2 = iplus3
    | ~ spl0_5
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f300,f282]) ).

fof(f798,plain,
    ( ! [X0] :
        ( iplus2 = X0
        | ~ cTorF(X0)
        | iplus3 = X0 )
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f150,f780]) ).

fof(f780,plain,
    ( iplus2 = iminus3
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(backward_demodulation,[],[f269,f282]) ).

fof(f783,plain,
    ( iplus2 != iF
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(backward_demodulation,[],[f773,f780]) ).

fof(f773,plain,
    ( iminus3 != iF
    | ~ spl0_2 ),
    inference(backward_demodulation,[],[f231,f269]) ).

fof(f740,plain,
    ( ~ spl0_7
    | ~ spl0_10
    | ~ spl0_13
    | spl0_18 ),
    inference(avatar_contradiction_clause,[],[f725]) ).

fof(f725,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_13
    | spl0_18 ),
    inference(unit_resulting_resolution,[],[f239,f667,f713]) ).

fof(f713,plain,
    ( ! [X0] :
        ( ~ cTorF(X0)
        | iplus1 = X0 )
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(duplicate_literal_removal,[],[f711]) ).

fof(f711,plain,
    ( ! [X0] :
        ( ~ cTorF(X0)
        | iplus1 = X0
        | iplus1 = X0 )
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(backward_demodulation,[],[f573,f710]) ).

fof(f710,plain,
    ( iplus1 = iplus9
    | ~ spl0_7
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f319,f291]) ).

fof(f291,plain,
    ( iplus1 = iT
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f289]) ).

fof(f573,plain,
    ( ! [X0] :
        ( iplus9 = X0
        | iplus1 = X0
        | ~ cTorF(X0) )
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f154,f564]) ).

fof(f564,plain,
    ( iplus1 = iminus9
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f305,f291]) ).

fof(f667,plain,
    ( iplus1 != iminus1
    | ~ spl0_7
    | spl0_18 ),
    inference(forward_demodulation,[],[f358,f291]) ).

fof(f705,plain,
    ( ~ spl0_3
    | ~ spl0_7
    | ~ spl0_17
    | spl0_18 ),
    inference(avatar_contradiction_clause,[],[f692]) ).

fof(f692,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_17
    | spl0_18 ),
    inference(unit_resulting_resolution,[],[f239,f667,f686]) ).

fof(f686,plain,
    ( ! [X0] :
        ( ~ cTorF(X0)
        | iplus1 = X0 )
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_17 ),
    inference(duplicate_literal_removal,[],[f685]) ).

fof(f685,plain,
    ( ! [X0] :
        ( iplus1 = X0
        | ~ cTorF(X0)
        | iplus1 = X0 )
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f610,f613]) ).

fof(f613,plain,
    ( iplus1 = iplus6
    | ~ spl0_3
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f273,f291]) ).

fof(f610,plain,
    ( ! [X0] :
        ( ~ cTorF(X0)
        | iplus1 = X0
        | iplus6 = X0 )
    | ~ spl0_7
    | ~ spl0_17 ),
    inference(backward_demodulation,[],[f165,f609]) ).

fof(f609,plain,
    ( iplus1 = iminus6
    | ~ spl0_7
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f354,f291]) ).

fof(f661,plain,
    ( ~ spl0_7
    | spl0_12
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f653]) ).

fof(f653,plain,
    ( $false
    | ~ spl0_7
    | spl0_12
    | ~ spl0_18 ),
    inference(unit_resulting_resolution,[],[f252,f647,f637]) ).

fof(f637,plain,
    ( ! [X0] :
        ( ~ cTorF(X0)
        | iplus1 = X0 )
    | ~ spl0_7
    | ~ spl0_18 ),
    inference(duplicate_literal_removal,[],[f634]) ).

fof(f634,plain,
    ( ! [X0] :
        ( ~ cTorF(X0)
        | iplus1 = X0
        | iplus1 = X0 )
    | ~ spl0_7
    | ~ spl0_18 ),
    inference(backward_demodulation,[],[f138,f633]) ).

fof(f633,plain,
    ( iplus1 = iminus1
    | ~ spl0_7
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f359,f291]) ).

fof(f138,plain,
    ! [X0] :
      ( iminus1 = X0
      | iplus1 = X0
      | ~ cTorF(X0) ),
    inference(cnf_transformation,[],[f111]) ).

fof(f647,plain,
    ( iplus1 != iminus8
    | ~ spl0_7
    | spl0_12 ),
    inference(forward_demodulation,[],[f314,f291]) ).

fof(f314,plain,
    ( iT != iminus8
    | spl0_12 ),
    inference(avatar_component_clause,[],[f313]) ).

fof(f252,plain,
    cTorF(iminus8),
    inference(equality_resolution,[],[f204]) ).

fof(f204,plain,
    ! [X0] :
      ( cTorF(X0)
      | iminus8 != X0 ),
    inference(cnf_transformation,[],[f125]) ).

fof(f660,plain,
    ( spl0_2
    | ~ spl0_7
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f651]) ).

fof(f651,plain,
    ( $false
    | spl0_2
    | ~ spl0_7
    | ~ spl0_18 ),
    inference(unit_resulting_resolution,[],[f241,f568,f637]) ).

fof(f568,plain,
    ( iplus1 != iminus3
    | spl0_2
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f268,f291]) ).

fof(f268,plain,
    ( iminus3 != iT
    | spl0_2 ),
    inference(avatar_component_clause,[],[f267]) ).

fof(f241,plain,
    cTorF(iminus3),
    inference(equality_resolution,[],[f148]) ).

fof(f148,plain,
    ! [X0] :
      ( cTorF(X0)
      | iminus3 != X0 ),
    inference(cnf_transformation,[],[f113]) ).

fof(f659,plain,
    ( ~ spl0_7
    | spl0_15
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f650]) ).

fof(f650,plain,
    ( $false
    | ~ spl0_7
    | spl0_15
    | ~ spl0_18 ),
    inference(unit_resulting_resolution,[],[f246,f643,f637]) ).

fof(f643,plain,
    ( iplus1 != iplus7
    | ~ spl0_7
    | spl0_15 ),
    inference(forward_demodulation,[],[f328,f291]) ).

fof(f328,plain,
    ( iplus7 != iT
    | spl0_15 ),
    inference(avatar_component_clause,[],[f327]) ).

fof(f246,plain,
    cTorF(iplus7),
    inference(equality_resolution,[],[f184]) ).

fof(f184,plain,
    ! [X0] :
      ( cTorF(X0)
      | iplus7 != X0 ),
    inference(cnf_transformation,[],[f119]) ).

fof(f658,plain,
    ( spl0_5
    | ~ spl0_7
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f649]) ).

fof(f649,plain,
    ( $false
    | spl0_5
    | ~ spl0_7
    | ~ spl0_18 ),
    inference(unit_resulting_resolution,[],[f255,f638,f637]) ).

fof(f638,plain,
    ( iplus1 != iplus2
    | spl0_5
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f281,f291]) ).

fof(f655,plain,
    ( ~ spl0_7
    | spl0_14
    | ~ spl0_18 ),
    inference(avatar_contradiction_clause,[],[f648]) ).

fof(f648,plain,
    ( $false
    | ~ spl0_7
    | spl0_14
    | ~ spl0_18 ),
    inference(unit_resulting_resolution,[],[f258,f615,f637]) ).

fof(f615,plain,
    ( iplus1 != iplus4
    | ~ spl0_7
    | spl0_14 ),
    inference(forward_demodulation,[],[f324,f291]) ).

fof(f630,plain,
    ( ~ spl0_6
    | ~ spl0_7
    | spl0_11
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f621]) ).

fof(f621,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_7
    | spl0_11
    | ~ spl0_15 ),
    inference(unit_resulting_resolution,[],[f256,f578,f608]) ).

fof(f608,plain,
    ( ! [X0] :
        ( ~ cTorF(X0)
        | iplus1 = X0 )
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_15 ),
    inference(duplicate_literal_removal,[],[f605]) ).

fof(f605,plain,
    ( ! [X0] :
        ( iplus1 = X0
        | iplus1 = X0
        | ~ cTorF(X0) )
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_15 ),
    inference(backward_demodulation,[],[f602,f603]) ).

fof(f603,plain,
    ( iplus1 = iminus7
    | ~ spl0_6
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f286,f291]) ).

fof(f602,plain,
    ( ! [X0] :
        ( iplus1 = X0
        | iminus7 = X0
        | ~ cTorF(X0) )
    | ~ spl0_7
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f182,f574]) ).

fof(f574,plain,
    ( iplus1 = iplus7
    | ~ spl0_7
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f329,f291]) ).

fof(f578,plain,
    ( iplus1 != iminus2
    | ~ spl0_7
    | spl0_11 ),
    inference(forward_demodulation,[],[f309,f291]) ).

fof(f629,plain,
    ( ~ spl0_6
    | ~ spl0_7
    | spl0_13
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f625]) ).

fof(f625,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_7
    | spl0_13
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(unit_resulting_resolution,[],[f243,f606,f608]) ).

fof(f606,plain,
    ( iplus1 != iplus9
    | ~ spl0_6
    | ~ spl0_7
    | spl0_13
    | ~ spl0_16 ),
    inference(backward_demodulation,[],[f541,f603]) ).

fof(f541,plain,
    ( iminus7 != iplus9
    | ~ spl0_6
    | spl0_13
    | ~ spl0_16 ),
    inference(backward_demodulation,[],[f539,f540]) ).

fof(f540,plain,
    ( iminus7 = iplus5
    | ~ spl0_6
    | ~ spl0_16 ),
    inference(backward_demodulation,[],[f338,f286]) ).

fof(f338,plain,
    ( iplus5 = iT
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f336]) ).

fof(f539,plain,
    ( iplus5 != iplus9
    | spl0_13
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f318,f338]) ).

fof(f318,plain,
    ( iT != iplus9
    | spl0_13 ),
    inference(avatar_component_clause,[],[f317]) ).

fof(f243,plain,
    cTorF(iplus9),
    inference(equality_resolution,[],[f152]) ).

fof(f152,plain,
    ! [X0] :
      ( cTorF(X0)
      | iplus9 != X0 ),
    inference(cnf_transformation,[],[f115]) ).

fof(f537,plain,
    ( ~ spl0_1
    | spl0_7
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f534]) ).

fof(f534,plain,
    ( $false
    | ~ spl0_1
    | spl0_7
    | ~ spl0_14 ),
    inference(unit_resulting_resolution,[],[f238,f516,f526]) ).

fof(f526,plain,
    ( ! [X0] :
        ( ~ cTorF(X0)
        | iminus4 = X0 )
    | ~ spl0_1
    | ~ spl0_14 ),
    inference(duplicate_literal_removal,[],[f525]) ).

fof(f525,plain,
    ( ! [X0] :
        ( iminus4 = X0
        | ~ cTorF(X0)
        | iminus4 = X0 )
    | ~ spl0_1
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f222,f496]) ).

fof(f496,plain,
    ( iminus4 = iplus4
    | ~ spl0_1
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f325,f265]) ).

fof(f325,plain,
    ( iplus4 = iT
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f323]) ).

fof(f222,plain,
    ! [X0] :
      ( ~ cTorF(X0)
      | iminus4 = X0
      | iplus4 = X0 ),
    inference(cnf_transformation,[],[f129]) ).

fof(f516,plain,
    ( iplus1 != iminus4
    | ~ spl0_1
    | spl0_7 ),
    inference(superposition,[],[f290,f265]) ).

fof(f536,plain,
    ( ~ spl0_1
    | spl0_11
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f533]) ).

fof(f533,plain,
    ( $false
    | ~ spl0_1
    | spl0_11
    | ~ spl0_14 ),
    inference(unit_resulting_resolution,[],[f256,f529,f526]) ).

fof(f529,plain,
    ( iminus4 != iminus2
    | ~ spl0_1
    | spl0_11 ),
    inference(forward_demodulation,[],[f309,f265]) ).

fof(f477,plain,
    ( ~ spl0_7
    | ~ spl0_8
    | spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f473]) ).

fof(f473,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_8
    | spl0_10
    | ~ spl0_12 ),
    inference(unit_resulting_resolution,[],[f242,f454,f468]) ).

fof(f468,plain,
    ( ! [X0] :
        ( ~ cTorF(X0)
        | iplus1 = X0 )
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(duplicate_literal_removal,[],[f467]) ).

fof(f467,plain,
    ( ! [X0] :
        ( iplus1 = X0
        | ~ cTorF(X0)
        | iplus1 = X0 )
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f442,f464]) ).

fof(f464,plain,
    ( iplus1 = iminus8
    | ~ spl0_7
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f315,f291]) ).

fof(f442,plain,
    ( ! [X0] :
        ( ~ cTorF(X0)
        | iplus1 = X0
        | iminus8 = X0 )
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(backward_demodulation,[],[f202,f439]) ).

fof(f439,plain,
    ( iplus1 = iplus8
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f296,f291]) ).

fof(f454,plain,
    ( iplus1 != iminus9
    | ~ spl0_7
    | spl0_10 ),
    inference(forward_demodulation,[],[f304,f291]) ).

fof(f304,plain,
    ( iT != iminus9
    | spl0_10 ),
    inference(avatar_component_clause,[],[f303]) ).

fof(f242,plain,
    cTorF(iminus9),
    inference(equality_resolution,[],[f153]) ).

fof(f153,plain,
    ! [X0] :
      ( cTorF(X0)
      | iminus9 != X0 ),
    inference(cnf_transformation,[],[f115]) ).

fof(f476,plain,
    ( spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f469]) ).

fof(f469,plain,
    ( $false
    | spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(unit_resulting_resolution,[],[f257,f463,f468]) ).

fof(f463,plain,
    ( iplus1 != iminus4
    | spl0_1
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f264,f291]) ).

fof(f264,plain,
    ( iminus4 != iT
    | spl0_1 ),
    inference(avatar_component_clause,[],[f263]) ).

fof(f257,plain,
    cTorF(iminus4),
    inference(equality_resolution,[],[f221]) ).

fof(f221,plain,
    ! [X0] :
      ( cTorF(X0)
      | iminus4 != X0 ),
    inference(cnf_transformation,[],[f129]) ).

fof(f462,plain,
    ( ~ spl0_1
    | spl0_5
    | ~ spl0_7
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f455]) ).

fof(f455,plain,
    ( $false
    | ~ spl0_1
    | spl0_5
    | ~ spl0_7
    | ~ spl0_14 ),
    inference(unit_resulting_resolution,[],[f255,f438,f453]) ).

fof(f453,plain,
    ( ! [X0] :
        ( ~ cTorF(X0)
        | iplus1 = X0 )
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_14 ),
    inference(duplicate_literal_removal,[],[f452]) ).

fof(f452,plain,
    ( ! [X0] :
        ( iplus1 = X0
        | ~ cTorF(X0)
        | iplus1 = X0 )
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f435,f450]) ).

fof(f450,plain,
    ( iplus1 = iminus4
    | ~ spl0_1
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f265,f291]) ).

fof(f435,plain,
    ( ! [X0] :
        ( ~ cTorF(X0)
        | iminus4 = X0
        | iplus1 = X0 )
    | ~ spl0_7
    | ~ spl0_14 ),
    inference(backward_demodulation,[],[f222,f434]) ).

fof(f434,plain,
    ( iplus1 = iplus4
    | ~ spl0_7
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f325,f291]) ).

fof(f438,plain,
    ( iplus1 != iplus2
    | spl0_5
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f281,f291]) ).

fof(f448,plain,
    ( ~ spl0_4
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f443]) ).

fof(f443,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(unit_resulting_resolution,[],[f249,f384,f428]) ).

fof(f428,plain,
    ( ! [X0] :
        ( ~ cTorF(X0)
        | iplus1 = X0 )
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(duplicate_literal_removal,[],[f426]) ).

fof(f426,plain,
    ( ! [X0] :
        ( iplus1 = X0
        | iplus1 = X0
        | ~ cTorF(X0) )
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(backward_demodulation,[],[f421,f425]) ).

fof(f425,plain,
    ( iplus1 = iplus9
    | ~ spl0_7
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f319,f291]) ).

fof(f421,plain,
    ( ! [X0] :
        ( iplus9 = X0
        | ~ cTorF(X0)
        | iplus1 = X0 )
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(backward_demodulation,[],[f154,f420]) ).

fof(f420,plain,
    ( iplus1 = iminus9
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f305,f291]) ).

fof(f384,plain,
    ( iplus1 != iF
    | ~ spl0_4
    | ~ spl0_7 ),
    inference(backward_demodulation,[],[f379,f383]) ).

fof(f383,plain,
    ( iplus1 = iminus5
    | ~ spl0_4
    | ~ spl0_7 ),
    inference(backward_demodulation,[],[f278,f291]) ).

fof(f278,plain,
    ( iminus5 = iT
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f276]) ).

fof(f276,plain,
    ( spl0_4
  <=> iminus5 = iT ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f379,plain,
    ( iminus5 != iF
    | ~ spl0_4 ),
    inference(backward_demodulation,[],[f231,f278]) ).

fof(f419,plain,
    ( ~ spl0_2
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f418]) ).

fof(f418,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(unit_resulting_resolution,[],[f249,f384,f400]) ).

fof(f400,plain,
    ( ! [X0] :
        ( ~ cTorF(X0)
        | iplus1 = X0 )
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(duplicate_literal_removal,[],[f397]) ).

fof(f397,plain,
    ( ! [X0] :
        ( iplus1 = X0
        | ~ cTorF(X0)
        | iplus1 = X0 )
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(backward_demodulation,[],[f394,f396]) ).

fof(f396,plain,
    ( iplus1 = iminus3
    | ~ spl0_2
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f269,f291]) ).

fof(f394,plain,
    ( ! [X0] :
        ( iminus3 = X0
        | ~ cTorF(X0)
        | iplus1 = X0 )
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(backward_demodulation,[],[f150,f392]) ).

fof(f392,plain,
    ( iplus1 = iplus3
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f300,f291]) ).

fof(f376,plain,
    ( spl0_5
    | spl0_1
    | spl0_8 ),
    inference(avatar_split_clause,[],[f190,f294,f263,f280]) ).

fof(f190,plain,
    ( iT = iplus8
    | iminus4 = iT
    | iplus2 = iT ),
    inference(cnf_transformation,[],[f37]) ).

fof(f37,axiom,
    ( iminus4 = iT
    | iplus2 = iT
    | iT = iplus8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_31) ).

fof(f375,plain,
    ( spl0_7
    | spl0_1
    | spl0_17 ),
    inference(avatar_split_clause,[],[f151,f352,f263,f289]) ).

fof(f151,plain,
    ( iT = iminus6
    | iminus4 = iT
    | iplus1 = iT ),
    inference(cnf_transformation,[],[f35]) ).

fof(f35,axiom,
    ( iplus1 = iT
    | iT = iminus6
    | iminus4 = iT ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_29) ).

fof(f374,plain,
    ( spl0_13
    | spl0_5
    | spl0_16 ),
    inference(avatar_split_clause,[],[f210,f336,f280,f317]) ).

fof(f210,plain,
    ( iplus5 = iT
    | iplus2 = iT
    | iT = iplus9 ),
    inference(cnf_transformation,[],[f61]) ).

fof(f61,axiom,
    ( iplus2 = iT
    | iT = iplus9
    | iplus5 = iT ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_55) ).

fof(f372,plain,
    ( spl0_17
    | spl0_11
    | spl0_14 ),
    inference(avatar_split_clause,[],[f175,f323,f308,f352]) ).

fof(f175,plain,
    ( iplus4 = iT
    | iminus2 = iT
    | iT = iminus6 ),
    inference(cnf_transformation,[],[f62]) ).

fof(f62,axiom,
    ( iplus4 = iT
    | iminus2 = iT
    | iT = iminus6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_56) ).

fof(f371,plain,
    ( spl0_10
    | spl0_11
    | spl0_15 ),
    inference(avatar_split_clause,[],[f230,f327,f308,f303]) ).

fof(f230,plain,
    ( iplus7 = iT
    | iminus2 = iT
    | iT = iminus9 ),
    inference(cnf_transformation,[],[f54]) ).

fof(f54,axiom,
    ( iminus2 = iT
    | iT = iminus9
    | iplus7 = iT ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_48) ).

fof(f370,plain,
    ( spl0_13
    | spl0_17
    | spl0_6 ),
    inference(avatar_split_clause,[],[f144,f284,f352,f317]) ).

fof(f144,plain,
    ( iminus7 = iT
    | iT = iminus6
    | iT = iplus9 ),
    inference(cnf_transformation,[],[f20]) ).

fof(f20,axiom,
    ( iT = iplus9
    | iT = iminus6
    | iminus7 = iT ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_14) ).

fof(f368,plain,
    ( spl0_11
    | spl0_6
    | spl0_3 ),
    inference(avatar_split_clause,[],[f167,f271,f284,f308]) ).

fof(f167,plain,
    ( iT = iplus6
    | iminus7 = iT
    | iminus2 = iT ),
    inference(cnf_transformation,[],[f33]) ).

fof(f33,axiom,
    ( iminus2 = iT
    | iminus7 = iT
    | iT = iplus6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_27) ).

fof(f367,plain,
    ( spl0_1
    | spl0_18
    | spl0_3 ),
    inference(avatar_split_clause,[],[f233,f271,f357,f263]) ).

fof(f233,plain,
    ( iT = iplus6
    | iminus1 = iT
    | iminus4 = iT ),
    inference(cnf_transformation,[],[f59]) ).

fof(f59,axiom,
    ( iT = iplus6
    | iminus4 = iT
    | iminus1 = iT ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_53) ).

fof(f366,plain,
    ( spl0_1
    | spl0_13
    | spl0_7 ),
    inference(avatar_split_clause,[],[f155,f289,f317,f263]) ).

fof(f155,plain,
    ( iplus1 = iT
    | iT = iplus9
    | iminus4 = iT ),
    inference(cnf_transformation,[],[f36]) ).

fof(f36,axiom,
    ( iplus1 = iT
    | iminus4 = iT
    | iT = iplus9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_30) ).

fof(f362,plain,
    ( spl0_7
    | spl0_17
    | spl0_5 ),
    inference(avatar_split_clause,[],[f178,f280,f352,f289]) ).

fof(f178,plain,
    ( iplus2 = iT
    | iT = iminus6
    | iplus1 = iT ),
    inference(cnf_transformation,[],[f19]) ).

fof(f19,axiom,
    ( iplus1 = iT
    | iplus2 = iT
    | iT = iminus6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_13) ).

fof(f361,plain,
    ( spl0_1
    | spl0_3
    | spl0_8 ),
    inference(avatar_split_clause,[],[f200,f294,f271,f263]) ).

fof(f200,plain,
    ( iT = iplus8
    | iT = iplus6
    | iminus4 = iT ),
    inference(cnf_transformation,[],[f63]) ).

fof(f63,axiom,
    ( iT = iplus8
    | iminus4 = iT
    | iT = iplus6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_57) ).

fof(f360,plain,
    ( spl0_18
    | spl0_14
    | spl0_5 ),
    inference(avatar_split_clause,[],[f145,f280,f323,f357]) ).

fof(f145,plain,
    ( iplus2 = iT
    | iplus4 = iT
    | iminus1 = iT ),
    inference(cnf_transformation,[],[f43]) ).

fof(f43,axiom,
    ( iplus4 = iT
    | iplus2 = iT
    | iminus1 = iT ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_37) ).

fof(f349,plain,
    ( spl0_13
    | spl0_11
    | spl0_3 ),
    inference(avatar_split_clause,[],[f171,f271,f308,f317]) ).

fof(f171,plain,
    ( iT = iplus6
    | iminus2 = iT
    | iT = iplus9 ),
    inference(cnf_transformation,[],[f57]) ).

fof(f57,axiom,
    ( iminus2 = iT
    | iT = iplus6
    | iT = iplus9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_51) ).

fof(f348,plain,
    ( spl0_16
    | spl0_1
    | spl0_13 ),
    inference(avatar_split_clause,[],[f228,f317,f263,f336]) ).

fof(f228,plain,
    ( iT = iplus9
    | iminus4 = iT
    | iplus5 = iT ),
    inference(cnf_transformation,[],[f38]) ).

fof(f38,axiom,
    ( iplus5 = iT
    | iT = iplus9
    | iminus4 = iT ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_32) ).

fof(f347,plain,
    ( spl0_12
    | spl0_1
    | spl0_10 ),
    inference(avatar_split_clause,[],[f180,f303,f263,f313]) ).

fof(f180,plain,
    ( iT = iminus9
    | iminus4 = iT
    | iT = iminus8 ),
    inference(cnf_transformation,[],[f46]) ).

fof(f46,axiom,
    ( iminus4 = iT
    | iT = iminus9
    | iT = iminus8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_40) ).

fof(f345,plain,
    ( spl0_15
    | spl0_1
    | spl0_13 ),
    inference(avatar_split_clause,[],[f236,f317,f263,f327]) ).

fof(f236,plain,
    ( iT = iplus9
    | iminus4 = iT
    | iplus7 = iT ),
    inference(cnf_transformation,[],[f64]) ).

fof(f64,axiom,
    ( iminus4 = iT
    | iT = iplus9
    | iplus7 = iT ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_58) ).

fof(f344,plain,
    ( spl0_14
    | spl0_4
    | spl0_3 ),
    inference(avatar_split_clause,[],[f196,f271,f276,f323]) ).

fof(f196,plain,
    ( iT = iplus6
    | iminus5 = iT
    | iplus4 = iT ),
    inference(cnf_transformation,[],[f39]) ).

fof(f39,axiom,
    ( iminus5 = iT
    | iplus4 = iT
    | iT = iplus6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_33) ).

fof(f343,plain,
    ( spl0_1
    | spl0_6
    | spl0_2 ),
    inference(avatar_split_clause,[],[f133,f267,f284,f263]) ).

fof(f133,plain,
    ( iminus3 = iT
    | iminus7 = iT
    | iminus4 = iT ),
    inference(cnf_transformation,[],[f42]) ).

fof(f42,axiom,
    ( iminus4 = iT
    | iminus7 = iT
    | iminus3 = iT ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_36) ).

fof(f342,plain,
    ( spl0_4
    | spl0_10
    | spl0_11 ),
    inference(avatar_split_clause,[],[f192,f308,f303,f276]) ).

fof(f192,plain,
    ( iminus2 = iT
    | iT = iminus9
    | iminus5 = iT ),
    inference(cnf_transformation,[],[f41]) ).

fof(f41,axiom,
    ( iT = iminus9
    | iminus5 = iT
    | iminus2 = iT ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_35) ).

fof(f341,plain,
    ( spl0_12
    | spl0_6
    | spl0_3 ),
    inference(avatar_split_clause,[],[f219,f271,f284,f313]) ).

fof(f219,plain,
    ( iT = iplus6
    | iminus7 = iT
    | iT = iminus8 ),
    inference(cnf_transformation,[],[f53]) ).

fof(f53,axiom,
    ( iT = iplus6
    | iT = iminus8
    | iminus7 = iT ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_47) ).

fof(f340,plain,
    ( spl0_9
    | spl0_14
    | spl0_7 ),
    inference(avatar_split_clause,[],[f139,f289,f323,f298]) ).

fof(f139,plain,
    ( iplus1 = iT
    | iplus4 = iT
    | iplus3 = iT ),
    inference(cnf_transformation,[],[f47]) ).

fof(f47,axiom,
    ( iplus1 = iT
    | iplus3 = iT
    | iplus4 = iT ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_41) ).

fof(f333,plain,
    ( spl0_5
    | spl0_2
    | spl0_8 ),
    inference(avatar_split_clause,[],[f170,f294,f267,f280]) ).

fof(f170,plain,
    ( iT = iplus8
    | iminus3 = iT
    | iplus2 = iT ),
    inference(cnf_transformation,[],[f48]) ).

fof(f48,axiom,
    ( iminus3 = iT
    | iT = iplus8
    | iplus2 = iT ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_42) ).

fof(f330,plain,
    ( spl0_14
    | spl0_7
    | spl0_15 ),
    inference(avatar_split_clause,[],[f226,f327,f289,f323]) ).

fof(f226,plain,
    ( iplus7 = iT
    | iplus1 = iT
    | iplus4 = iT ),
    inference(cnf_transformation,[],[f29]) ).

fof(f29,axiom,
    ( iplus7 = iT
    | iplus1 = iT
    | iplus4 = iT ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_23) ).

fof(f321,plain,
    ( spl0_2
    | spl0_11
    | spl0_7 ),
    inference(avatar_split_clause,[],[f232,f289,f308,f267]) ).

fof(f232,plain,
    ( iplus1 = iT
    | iminus2 = iT
    | iminus3 = iT ),
    inference(cnf_transformation,[],[f44]) ).

fof(f44,axiom,
    ( iminus2 = iT
    | iminus3 = iT
    | iplus1 = iT ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_38) ).

fof(f320,plain,
    ( spl0_1
    | spl0_12
    | spl0_13 ),
    inference(avatar_split_clause,[],[f173,f317,f313,f263]) ).

fof(f173,plain,
    ( iT = iplus9
    | iT = iminus8
    | iminus4 = iT ),
    inference(cnf_transformation,[],[f27]) ).

fof(f27,axiom,
    ( iT = iplus9
    | iminus4 = iT
    | iT = iminus8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_21) ).

fof(f311,plain,
    ( spl0_11
    | spl0_10
    | spl0_9 ),
    inference(avatar_split_clause,[],[f191,f298,f303,f308]) ).

fof(f191,plain,
    ( iplus3 = iT
    | iT = iminus9
    | iminus2 = iT ),
    inference(cnf_transformation,[],[f32]) ).

fof(f32,axiom,
    ( iT = iminus9
    | iminus2 = iT
    | iplus3 = iT ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_26) ).

fof(f301,plain,
    ( spl0_6
    | spl0_8
    | spl0_9 ),
    inference(avatar_split_clause,[],[f147,f298,f294,f284]) ).

fof(f147,plain,
    ( iplus3 = iT
    | iT = iplus8
    | iminus7 = iT ),
    inference(cnf_transformation,[],[f50]) ).

fof(f50,axiom,
    ( iplus3 = iT
    | iT = iplus8
    | iminus7 = iT ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_44) ).

fof(f292,plain,
    ( spl0_1
    | spl0_5
    | spl0_7 ),
    inference(avatar_split_clause,[],[f207,f289,f280,f263]) ).

fof(f207,plain,
    ( iplus1 = iT
    | iplus2 = iT
    | iminus4 = iT ),
    inference(cnf_transformation,[],[f58]) ).

fof(f58,axiom,
    ( iplus1 = iT
    | iplus2 = iT
    | iminus4 = iT ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_52) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : KRS102+1 : TPTP v8.1.0. Released v3.1.0.
% 0.11/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n010.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 00:26:14 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.56  % (26303)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)
% 0.19/0.56  % (26311)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)
% 0.19/0.57  % (26302)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)
% 0.19/0.57  % (26305)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)
% 0.19/0.58  % (26308)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)
% 0.19/0.58  % (26318)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.85/0.59  % (26313)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.85/0.59  % (26312)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.85/0.59  % (26321)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.85/0.59  % (26314)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.85/0.59  % (26315)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.85/0.60  Detected maximum model sizes of [20]
% 1.85/0.60  TRYING [1]
% 1.85/0.60  % (26325)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 1.85/0.60  % (26317)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.85/0.60  % (26316)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.85/0.60  % (26304)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)
% 2.05/0.61  Detected maximum model sizes of [20]
% 2.05/0.61  % (26324)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)
% 2.05/0.61  % (26306)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 2.05/0.61  % (26307)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)
% 2.05/0.61  % (26320)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 2.05/0.61  TRYING [1]
% 2.05/0.61  TRYING [2]
% 2.05/0.62  % (26330)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 2.05/0.62  TRYING [2]
% 2.05/0.62  TRYING [3]
% 2.05/0.62  % (26309)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 2.05/0.62  TRYING [3]
% 2.05/0.62  TRYING [4]
% 2.05/0.62  % (26326)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 2.05/0.62  % (26328)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)
% 2.05/0.62  % (26310)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 2.05/0.63  % (26310)Instruction limit reached!
% 2.05/0.63  % (26310)------------------------------
% 2.05/0.63  % (26310)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.05/0.63  % (26327)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 2.05/0.63  % (26310)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.05/0.63  % (26310)Termination reason: Unknown
% 2.05/0.63  % (26310)Termination phase: Property scanning
% 2.05/0.63  
% 2.05/0.63  % (26310)Memory used [KB]: 895
% 2.05/0.63  % (26310)Time elapsed: 0.003 s
% 2.05/0.63  % (26310)Instructions burned: 3 (million)
% 2.05/0.63  % (26310)------------------------------
% 2.05/0.63  % (26310)------------------------------
% 2.05/0.63  % (26331)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)
% 2.05/0.63  % (26329)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)
% 2.05/0.63  % (26319)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 2.05/0.63  % (26323)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 2.05/0.63  TRYING [4]
% 2.05/0.63  % (26322)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)
% 2.05/0.64  % (26309)Instruction limit reached!
% 2.05/0.64  % (26309)------------------------------
% 2.05/0.64  % (26309)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.26/0.65  TRYING [5]
% 2.26/0.65  Detected maximum model sizes of [20]
% 2.26/0.65  % (26309)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.26/0.65  % (26309)Termination reason: Unknown
% 2.26/0.65  % (26309)Termination phase: Saturation
% 2.26/0.65  
% 2.26/0.65  % (26309)Memory used [KB]: 5628
% 2.26/0.65  % (26309)Time elapsed: 0.159 s
% 2.26/0.65  % (26309)Instructions burned: 8 (million)
% 2.26/0.65  % (26309)------------------------------
% 2.26/0.65  % (26309)------------------------------
% 2.26/0.65  % (26303)First to succeed.
% 2.26/0.65  TRYING [5]
% 2.26/0.66  % (26303)Refutation found. Thanks to Tanya!
% 2.26/0.66  % SZS status Unsatisfiable for theBenchmark
% 2.26/0.66  % SZS output start Proof for theBenchmark
% See solution above
% 2.26/0.66  % (26303)------------------------------
% 2.26/0.66  % (26303)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.26/0.66  % (26303)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.26/0.66  % (26303)Termination reason: Refutation
% 2.26/0.66  
% 2.26/0.66  % (26303)Memory used [KB]: 5884
% 2.26/0.66  % (26303)Time elapsed: 0.223 s
% 2.26/0.66  % (26303)Instructions burned: 31 (million)
% 2.26/0.66  % (26303)------------------------------
% 2.26/0.66  % (26303)------------------------------
% 2.26/0.66  % (26301)Success in time 0.306 s
%------------------------------------------------------------------------------