%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : RNG026-7 : TPTP v8.2.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n014.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 : Tue May 21 02:40:34 EDT 2024

% Result   : Unsatisfiable 1.81s 0.60s
% Output   : Refutation 1.81s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   26
%            Number of leaves      :  101
% Syntax   : Number of formulae    :  366 (  47 unt;   0 def)
%            Number of atoms       : 1189 ( 284 equ)
%            Maximal formula atoms :   21 (   3 avg)
%            Number of connectives : 1569 ( 746   ~; 744   |;   0   &)
%                                         (  79 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   22 (   5 avg)
%            Maximal term depth    :   14 (   2 avg)
%            Number of predicates  :   81 (  79 usr;  80 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   5 con; 0-3 aty)
%            Number of variables   :  622 ( 622   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f9103,plain,
    $false,
    inference(avatar_sat_refutation,[],[f30,f34,f38,f42,f46,f50,f54,f64,f80,f84,f88,f124,f129,f133,f137,f235,f239,f317,f332,f453,f457,f574,f594,f601,f605,f652,f727,f731,f735,f920,f1004,f1008,f1012,f1221,f1225,f1229,f1233,f1237,f1241,f1245,f1249,f1253,f1257,f2433,f2437,f2441,f2445,f2449,f2521,f3457,f3461,f3675,f3904,f3908,f3912,f3916,f3920,f3924,f4373,f4850,f4854,f4858,f4862,f4866,f4870,f4874,f4997,f5001,f5005,f6748,f7387,f7391,f7395,f7399,f7403,f7407,f7664,f9068,f9095,f9100]) ).

fof(f9100,plain,
    ( ~ spl0_7
    | spl0_79 ),
    inference(avatar_contradiction_clause,[],[f9099]) ).

fof(f9099,plain,
    ( $false
    | ~ spl0_7
    | spl0_79 ),
    inference(trivial_inequality_removal,[],[f9098]) ).

fof(f9098,plain,
    ( additive_identity != additive_identity
    | ~ spl0_7
    | spl0_79 ),
    inference(superposition,[],[f9094,f53]) ).

fof(f53,plain,
    ( ! [X0] : additive_identity = add(X0,additive_inverse(X0))
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f52]) ).

fof(f52,plain,
    ( spl0_7
  <=> ! [X0] : additive_identity = add(X0,additive_inverse(X0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f9094,plain,
    ( additive_identity != add(multiply(multiply(a,b),multiply(c,d)),additive_inverse(multiply(multiply(a,b),multiply(c,d))))
    | spl0_79 ),
    inference(avatar_component_clause,[],[f9092]) ).

fof(f9092,plain,
    ( spl0_79
  <=> additive_identity = add(multiply(multiply(a,b),multiply(c,d)),additive_inverse(multiply(multiply(a,b),multiply(c,d)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f9095,plain,
    ( ~ spl0_79
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_16
    | ~ spl0_18
    | ~ spl0_24
    | ~ spl0_25
    | ~ spl0_27
    | ~ spl0_28
    | ~ spl0_30
    | ~ spl0_31
    | ~ spl0_35
    | ~ spl0_52
    | ~ spl0_58
    | ~ spl0_64
    | spl0_78 ),
    inference(avatar_split_clause,[],[f9090,f9065,f4864,f3922,f3673,f1223,f1002,f918,f729,f725,f603,f599,f315,f233,f122,f82,f62,f52,f44,f40,f28,f9092]) ).

fof(f28,plain,
    ( spl0_1
  <=> ! [X0] : add(additive_identity,X0) = X0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f40,plain,
    ( spl0_4
  <=> ! [X0] : additive_identity = multiply(X0,additive_identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f44,plain,
    ( spl0_5
  <=> ! [X0] : additive_inverse(additive_inverse(X0)) = X0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f62,plain,
    ( spl0_8
  <=> ! [X0,X1] : add(X0,X1) = add(X1,X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f82,plain,
    ( spl0_10
  <=> ! [X0,X1] : additive_inverse(multiply(X0,X1)) = multiply(additive_inverse(X0),X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f122,plain,
    ( spl0_12
  <=> ! [X2,X0,X1] : add(X0,add(X1,X2)) = add(add(X0,X1),X2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f233,plain,
    ( spl0_16
  <=> ! [X2,X0,X1] : multiply(X0,add(X1,X2)) = add(multiply(X0,X1),multiply(X0,X2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f315,plain,
    ( spl0_18
  <=> ! [X2,X0,X1] : multiply(X0,add(X1,additive_inverse(X2))) = add(multiply(X0,X1),additive_inverse(multiply(X0,X2))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f599,plain,
    ( spl0_24
  <=> ! [X0,X1] : add(X0,add(additive_inverse(X0),X1)) = X1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f603,plain,
    ( spl0_25
  <=> ! [X0,X1] : add(additive_inverse(X0),add(X0,X1)) = X1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f725,plain,
    ( spl0_27
  <=> ! [X2,X0,X1] : add(X0,add(X1,X2)) = add(add(X1,X0),X2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f729,plain,
    ( spl0_28
  <=> ! [X2,X0,X1] : add(X0,add(X1,X2)) = add(X2,add(X0,X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f918,plain,
    ( spl0_30
  <=> ! [X0,X1] : add(X0,add(X1,additive_inverse(X0))) = X1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f1002,plain,
    ( spl0_31
  <=> ! [X2,X0,X1] : multiply(X0,add(X1,X2)) = add(multiply(X0,X2),multiply(X0,X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f1223,plain,
    ( spl0_35
  <=> ! [X2,X0,X1] : additive_inverse(multiply(X0,add(X2,additive_inverse(X1)))) = multiply(X0,add(additive_inverse(X2),X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f3673,plain,
    ( spl0_52
  <=> ! [X0,X1] : additive_inverse(X0) = add(X1,additive_inverse(add(X0,X1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f3922,plain,
    ( spl0_58
  <=> ! [X0,X3,X2,X1] : add(multiply(X0,X1),add(multiply(X2,X1),X3)) = add(multiply(add(X0,X2),X1),X3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f4864,plain,
    ( spl0_64
  <=> ! [X0,X3,X2,X1] : add(multiply(X0,X1),add(additive_inverse(multiply(X0,X2)),X3)) = add(multiply(X0,add(X1,additive_inverse(X2))),X3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f9065,plain,
    ( spl0_78
  <=> additive_identity = add(multiply(multiply(a,b),multiply(c,d)),add(multiply(multiply(multiply(a,b),c),d),add(additive_inverse(multiply(a,multiply(b,multiply(c,d)))),add(additive_inverse(multiply(multiply(a,b),multiply(c,d))),additive_inverse(add(multiply(multiply(a,multiply(b,c)),d),add(additive_inverse(multiply(a,multiply(multiply(b,c),d))),add(multiply(a,add(multiply(multiply(b,c),d),additive_inverse(multiply(b,multiply(c,d))))),multiply(add(multiply(multiply(a,b),c),additive_inverse(multiply(a,multiply(b,c)))),d))))))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f9090,plain,
    ( additive_identity != add(multiply(multiply(a,b),multiply(c,d)),additive_inverse(multiply(multiply(a,b),multiply(c,d))))
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_16
    | ~ spl0_18
    | ~ spl0_24
    | ~ spl0_25
    | ~ spl0_27
    | ~ spl0_28
    | ~ spl0_30
    | ~ spl0_31
    | ~ spl0_35
    | ~ spl0_52
    | ~ spl0_58
    | ~ spl0_64
    | spl0_78 ),
    inference(forward_demodulation,[],[f9089,f29]) ).

fof(f29,plain,
    ( ! [X0] : add(additive_identity,X0) = X0
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f28]) ).

fof(f9089,plain,
    ( additive_identity != add(multiply(multiply(a,b),multiply(c,d)),additive_inverse(add(additive_identity,multiply(multiply(a,b),multiply(c,d)))))
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_16
    | ~ spl0_18
    | ~ spl0_24
    | ~ spl0_25
    | ~ spl0_27
    | ~ spl0_28
    | ~ spl0_30
    | ~ spl0_31
    | ~ spl0_35
    | ~ spl0_52
    | ~ spl0_58
    | ~ spl0_64
    | spl0_78 ),
    inference(forward_demodulation,[],[f9088,f41]) ).

fof(f41,plain,
    ( ! [X0] : additive_identity = multiply(X0,additive_identity)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f40]) ).

fof(f9088,plain,
    ( additive_identity != add(multiply(multiply(a,b),multiply(c,d)),additive_inverse(add(multiply(a,additive_identity),multiply(multiply(a,b),multiply(c,d)))))
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_16
    | ~ spl0_18
    | ~ spl0_24
    | ~ spl0_25
    | ~ spl0_27
    | ~ spl0_28
    | ~ spl0_30
    | ~ spl0_31
    | ~ spl0_35
    | ~ spl0_52
    | ~ spl0_58
    | ~ spl0_64
    | spl0_78 ),
    inference(forward_demodulation,[],[f9087,f63]) ).

fof(f63,plain,
    ( ! [X0,X1] : add(X0,X1) = add(X1,X0)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f62]) ).

fof(f9087,plain,
    ( additive_identity != add(multiply(multiply(a,b),multiply(c,d)),additive_inverse(add(multiply(multiply(a,b),multiply(c,d)),multiply(a,additive_identity))))
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_16
    | ~ spl0_18
    | ~ spl0_24
    | ~ spl0_25
    | ~ spl0_27
    | ~ spl0_28
    | ~ spl0_30
    | ~ spl0_31
    | ~ spl0_35
    | ~ spl0_52
    | ~ spl0_58
    | ~ spl0_64
    | spl0_78 ),
    inference(forward_demodulation,[],[f9086,f53]) ).

fof(f9086,plain,
    ( additive_identity != add(multiply(multiply(a,b),multiply(c,d)),additive_inverse(add(multiply(multiply(a,b),multiply(c,d)),multiply(a,add(multiply(b,multiply(c,d)),additive_inverse(multiply(b,multiply(c,d))))))))
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_16
    | ~ spl0_18
    | ~ spl0_24
    | ~ spl0_25
    | ~ spl0_27
    | ~ spl0_28
    | ~ spl0_30
    | ~ spl0_31
    | ~ spl0_35
    | ~ spl0_52
    | ~ spl0_58
    | ~ spl0_64
    | spl0_78 ),
    inference(forward_demodulation,[],[f9085,f63]) ).

fof(f9085,plain,
    ( additive_identity != add(multiply(multiply(a,b),multiply(c,d)),additive_inverse(add(multiply(a,add(multiply(b,multiply(c,d)),additive_inverse(multiply(b,multiply(c,d))))),multiply(multiply(a,b),multiply(c,d)))))
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_16
    | ~ spl0_18
    | ~ spl0_24
    | ~ spl0_25
    | ~ spl0_27
    | ~ spl0_28
    | ~ spl0_30
    | ~ spl0_31
    | ~ spl0_35
    | ~ spl0_52
    | ~ spl0_58
    | ~ spl0_64
    | spl0_78 ),
    inference(forward_demodulation,[],[f9084,f4886]) ).

fof(f4886,plain,
    ( ! [X2,X0,X1] : additive_inverse(add(X0,X1)) = add(X2,additive_inverse(add(X1,add(X0,X2))))
    | ~ spl0_27
    | ~ spl0_52 ),
    inference(superposition,[],[f3674,f726]) ).

fof(f726,plain,
    ( ! [X2,X0,X1] : add(X0,add(X1,X2)) = add(add(X1,X0),X2)
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f725]) ).

fof(f3674,plain,
    ( ! [X0,X1] : additive_inverse(X0) = add(X1,additive_inverse(add(X0,X1)))
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f3673]) ).

fof(f9084,plain,
    ( additive_identity != add(multiply(multiply(a,b),multiply(c,d)),add(multiply(multiply(multiply(a,b),c),d),additive_inverse(add(multiply(multiply(a,b),multiply(c,d)),add(multiply(a,add(multiply(b,multiply(c,d)),additive_inverse(multiply(b,multiply(c,d))))),multiply(multiply(multiply(a,b),c),d))))))
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_16
    | ~ spl0_18
    | ~ spl0_24
    | ~ spl0_25
    | ~ spl0_27
    | ~ spl0_28
    | ~ spl0_30
    | ~ spl0_31
    | ~ spl0_35
    | ~ spl0_52
    | ~ spl0_58
    | ~ spl0_64
    | spl0_78 ),
    inference(forward_demodulation,[],[f9083,f919]) ).

fof(f919,plain,
    ( ! [X0,X1] : add(X0,add(X1,additive_inverse(X0))) = X1
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f918]) ).

fof(f9083,plain,
    ( additive_identity != add(multiply(multiply(a,b),multiply(c,d)),add(multiply(multiply(multiply(a,b),c),d),additive_inverse(add(multiply(multiply(a,b),multiply(c,d)),add(multiply(a,add(multiply(b,multiply(c,d)),additive_inverse(multiply(b,multiply(c,d))))),multiply(add(multiply(a,multiply(b,c)),add(multiply(multiply(a,b),c),additive_inverse(multiply(a,multiply(b,c))))),d))))))
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_16
    | ~ spl0_18
    | ~ spl0_24
    | ~ spl0_25
    | ~ spl0_27
    | ~ spl0_28
    | ~ spl0_31
    | ~ spl0_35
    | ~ spl0_52
    | ~ spl0_58
    | ~ spl0_64
    | spl0_78 ),
    inference(forward_demodulation,[],[f9082,f6227]) ).

fof(f6227,plain,
    ( ! [X2,X3,X0,X1] : add(multiply(X0,add(additive_inverse(X1),X2)),X3) = add(multiply(X0,add(X2,additive_inverse(X1))),X3)
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_18
    | ~ spl0_27
    | ~ spl0_35
    | ~ spl0_64 ),
    inference(forward_demodulation,[],[f6226,f1224]) ).

fof(f1224,plain,
    ( ! [X2,X0,X1] : additive_inverse(multiply(X0,add(X2,additive_inverse(X1)))) = multiply(X0,add(additive_inverse(X2),X1))
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f1223]) ).

fof(f6226,plain,
    ( ! [X2,X3,X0,X1] : add(additive_inverse(multiply(X0,add(X1,additive_inverse(X2)))),X3) = add(multiply(X0,add(X2,additive_inverse(X1))),X3)
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_18
    | ~ spl0_27
    | ~ spl0_64 ),
    inference(forward_demodulation,[],[f6225,f747]) ).

fof(f747,plain,
    ( ! [X2,X3,X0,X1] : add(multiply(X0,add(X1,additive_inverse(X2))),X3) = add(additive_inverse(multiply(X0,X2)),add(multiply(X0,X1),X3))
    | ~ spl0_18
    | ~ spl0_27 ),
    inference(superposition,[],[f726,f316]) ).

fof(f316,plain,
    ( ! [X2,X0,X1] : multiply(X0,add(X1,additive_inverse(X2))) = add(multiply(X0,X1),additive_inverse(multiply(X0,X2)))
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f315]) ).

fof(f6225,plain,
    ( ! [X2,X3,X0,X1] : add(additive_inverse(multiply(X0,add(X1,additive_inverse(X2)))),X3) = add(additive_inverse(multiply(X0,X1)),add(multiply(X0,X2),X3))
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_64 ),
    inference(forward_demodulation,[],[f6224,f83]) ).

fof(f83,plain,
    ( ! [X0,X1] : additive_inverse(multiply(X0,X1)) = multiply(additive_inverse(X0),X1)
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f82]) ).

fof(f6224,plain,
    ( ! [X2,X3,X0,X1] : add(additive_inverse(multiply(X0,X1)),add(multiply(X0,X2),X3)) = add(multiply(additive_inverse(X0),add(X1,additive_inverse(X2))),X3)
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_64 ),
    inference(forward_demodulation,[],[f6223,f45]) ).

fof(f45,plain,
    ( ! [X0] : additive_inverse(additive_inverse(X0)) = X0
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f44]) ).

fof(f6223,plain,
    ( ! [X2,X3,X0,X1] : add(multiply(additive_inverse(X0),add(X1,additive_inverse(X2))),X3) = add(additive_inverse(multiply(X0,X1)),add(additive_inverse(additive_inverse(multiply(X0,X2))),X3))
    | ~ spl0_10
    | ~ spl0_64 ),
    inference(forward_demodulation,[],[f6114,f83]) ).

fof(f6114,plain,
    ( ! [X2,X3,X0,X1] : add(multiply(additive_inverse(X0),add(X1,additive_inverse(X2))),X3) = add(additive_inverse(multiply(X0,X1)),add(additive_inverse(multiply(additive_inverse(X0),X2)),X3))
    | ~ spl0_10
    | ~ spl0_64 ),
    inference(superposition,[],[f4865,f83]) ).

fof(f4865,plain,
    ( ! [X2,X3,X0,X1] : add(multiply(X0,X1),add(additive_inverse(multiply(X0,X2)),X3)) = add(multiply(X0,add(X1,additive_inverse(X2))),X3)
    | ~ spl0_64 ),
    inference(avatar_component_clause,[],[f4864]) ).

fof(f9082,plain,
    ( additive_identity != add(multiply(multiply(a,b),multiply(c,d)),add(multiply(multiply(multiply(a,b),c),d),additive_inverse(add(multiply(multiply(a,b),multiply(c,d)),add(multiply(a,add(additive_inverse(multiply(b,multiply(c,d))),multiply(b,multiply(c,d)))),multiply(add(multiply(a,multiply(b,c)),add(multiply(multiply(a,b),c),additive_inverse(multiply(a,multiply(b,c))))),d))))))
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_16
    | ~ spl0_24
    | ~ spl0_25
    | ~ spl0_27
    | ~ spl0_28
    | ~ spl0_31
    | ~ spl0_52
    | ~ spl0_58
    | ~ spl0_64
    | spl0_78 ),
    inference(forward_demodulation,[],[f9081,f63]) ).

fof(f9081,plain,
    ( additive_identity != add(multiply(multiply(a,b),multiply(c,d)),add(multiply(multiply(multiply(a,b),c),d),additive_inverse(add(multiply(multiply(a,b),multiply(c,d)),add(multiply(add(multiply(a,multiply(b,c)),add(multiply(multiply(a,b),c),additive_inverse(multiply(a,multiply(b,c))))),d),multiply(a,add(additive_inverse(multiply(b,multiply(c,d))),multiply(b,multiply(c,d)))))))))
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_16
    | ~ spl0_24
    | ~ spl0_25
    | ~ spl0_27
    | ~ spl0_28
    | ~ spl0_31
    | ~ spl0_52
    | ~ spl0_58
    | ~ spl0_64
    | spl0_78 ),
    inference(forward_demodulation,[],[f9080,f876]) ).

fof(f876,plain,
    ( ! [X2,X0,X1] : add(X1,X2) = add(X0,add(X1,add(X2,additive_inverse(X0))))
    | ~ spl0_24
    | ~ spl0_28 ),
    inference(superposition,[],[f600,f730]) ).

fof(f730,plain,
    ( ! [X2,X0,X1] : add(X0,add(X1,X2)) = add(X2,add(X0,X1))
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f729]) ).

fof(f600,plain,
    ( ! [X0,X1] : add(X0,add(additive_inverse(X0),X1)) = X1
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f599]) ).

fof(f9080,plain,
    ( additive_identity != add(multiply(multiply(a,b),multiply(c,d)),add(multiply(multiply(multiply(a,b),c),d),additive_inverse(add(multiply(multiply(a,b),multiply(c,d)),add(multiply(add(multiply(a,multiply(b,c)),add(multiply(multiply(a,b),c),additive_inverse(multiply(a,multiply(b,c))))),d),multiply(a,add(multiply(multiply(b,c),d),add(additive_inverse(multiply(b,multiply(c,d))),add(multiply(b,multiply(c,d)),additive_inverse(multiply(multiply(b,c),d)))))))))))
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_16
    | ~ spl0_25
    | ~ spl0_27
    | ~ spl0_28
    | ~ spl0_31
    | ~ spl0_52
    | ~ spl0_58
    | ~ spl0_64
    | spl0_78 ),
    inference(forward_demodulation,[],[f9079,f730]) ).

fof(f9079,plain,
    ( additive_identity != add(multiply(multiply(a,b),multiply(c,d)),add(multiply(multiply(multiply(a,b),c),d),additive_inverse(add(multiply(multiply(a,b),multiply(c,d)),add(multiply(add(multiply(a,multiply(b,c)),add(multiply(multiply(a,b),c),additive_inverse(multiply(a,multiply(b,c))))),d),multiply(a,add(additive_inverse(multiply(b,multiply(c,d))),add(add(multiply(b,multiply(c,d)),additive_inverse(multiply(multiply(b,c),d))),multiply(multiply(b,c),d)))))))))
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_16
    | ~ spl0_25
    | ~ spl0_27
    | ~ spl0_28
    | ~ spl0_31
    | ~ spl0_52
    | ~ spl0_58
    | ~ spl0_64
    | spl0_78 ),
    inference(forward_demodulation,[],[f9078,f730]) ).

fof(f9078,plain,
    ( additive_identity != add(multiply(multiply(a,b),multiply(c,d)),add(multiply(multiply(multiply(a,b),c),d),additive_inverse(add(multiply(multiply(a,b),multiply(c,d)),add(multiply(add(multiply(a,multiply(b,c)),add(multiply(multiply(a,b),c),additive_inverse(multiply(a,multiply(b,c))))),d),multiply(a,add(add(multiply(b,multiply(c,d)),additive_inverse(multiply(multiply(b,c),d))),add(multiply(multiply(b,c),d),additive_inverse(multiply(b,multiply(c,d)))))))))))
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_16
    | ~ spl0_25
    | ~ spl0_27
    | ~ spl0_28
    | ~ spl0_31
    | ~ spl0_52
    | ~ spl0_58
    | ~ spl0_64
    | spl0_78 ),
    inference(forward_demodulation,[],[f9077,f1031]) ).

fof(f1031,plain,
    ( ! [X2,X0,X1] : multiply(X0,add(X1,X2)) = multiply(X0,add(X2,X1))
    | ~ spl0_16
    | ~ spl0_31 ),
    inference(superposition,[],[f1003,f234]) ).

fof(f234,plain,
    ( ! [X2,X0,X1] : multiply(X0,add(X1,X2)) = add(multiply(X0,X1),multiply(X0,X2))
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f233]) ).

fof(f1003,plain,
    ( ! [X2,X0,X1] : multiply(X0,add(X1,X2)) = add(multiply(X0,X2),multiply(X0,X1))
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f1002]) ).

fof(f9077,plain,
    ( additive_identity != add(multiply(multiply(a,b),multiply(c,d)),add(multiply(multiply(multiply(a,b),c),d),additive_inverse(add(multiply(multiply(a,b),multiply(c,d)),add(multiply(add(multiply(a,multiply(b,c)),add(multiply(multiply(a,b),c),additive_inverse(multiply(a,multiply(b,c))))),d),multiply(a,add(add(multiply(multiply(b,c),d),additive_inverse(multiply(b,multiply(c,d)))),add(multiply(b,multiply(c,d)),additive_inverse(multiply(multiply(b,c),d))))))))))
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_16
    | ~ spl0_25
    | ~ spl0_27
    | ~ spl0_28
    | ~ spl0_52
    | ~ spl0_58
    | ~ spl0_64
    | spl0_78 ),
    inference(forward_demodulation,[],[f9076,f806]) ).

fof(f806,plain,
    ( ! [X2,X3,X0,X1] : add(X3,multiply(X0,add(X1,X2))) = add(multiply(X0,X2),add(X3,multiply(X0,X1)))
    | ~ spl0_16
    | ~ spl0_28 ),
    inference(superposition,[],[f730,f234]) ).

fof(f9076,plain,
    ( additive_identity != add(multiply(multiply(a,b),multiply(c,d)),add(multiply(multiply(multiply(a,b),c),d),additive_inverse(add(multiply(multiply(a,b),multiply(c,d)),add(multiply(a,add(multiply(b,multiply(c,d)),additive_inverse(multiply(multiply(b,c),d)))),add(multiply(add(multiply(a,multiply(b,c)),add(multiply(multiply(a,b),c),additive_inverse(multiply(a,multiply(b,c))))),d),multiply(a,add(multiply(multiply(b,c),d),additive_inverse(multiply(b,multiply(c,d)))))))))))
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_25
    | ~ spl0_27
    | ~ spl0_28
    | ~ spl0_52
    | ~ spl0_58
    | ~ spl0_64
    | spl0_78 ),
    inference(forward_demodulation,[],[f9075,f730]) ).

fof(f9075,plain,
    ( additive_identity != add(multiply(multiply(a,b),multiply(c,d)),add(multiply(multiply(multiply(a,b),c),d),additive_inverse(add(multiply(a,add(multiply(b,multiply(c,d)),additive_inverse(multiply(multiply(b,c),d)))),add(add(multiply(add(multiply(a,multiply(b,c)),add(multiply(multiply(a,b),c),additive_inverse(multiply(a,multiply(b,c))))),d),multiply(a,add(multiply(multiply(b,c),d),additive_inverse(multiply(b,multiply(c,d)))))),multiply(multiply(a,b),multiply(c,d)))))))
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_25
    | ~ spl0_27
    | ~ spl0_28
    | ~ spl0_52
    | ~ spl0_58
    | ~ spl0_64
    | spl0_78 ),
    inference(forward_demodulation,[],[f9074,f6156]) ).

fof(f6156,plain,
    ( ! [X2,X3,X0,X1,X4] : add(multiply(X0,add(X4,additive_inverse(X1))),add(X2,X3)) = add(multiply(X0,X4),add(X3,add(additive_inverse(multiply(X0,X1)),X2)))
    | ~ spl0_28
    | ~ spl0_64 ),
    inference(superposition,[],[f4865,f730]) ).

fof(f9074,plain,
    ( additive_identity != add(multiply(multiply(a,b),multiply(c,d)),add(multiply(multiply(multiply(a,b),c),d),additive_inverse(add(multiply(a,multiply(b,multiply(c,d))),add(multiply(multiply(a,b),multiply(c,d)),add(additive_inverse(multiply(a,multiply(multiply(b,c),d))),add(multiply(add(multiply(a,multiply(b,c)),add(multiply(multiply(a,b),c),additive_inverse(multiply(a,multiply(b,c))))),d),multiply(a,add(multiply(multiply(b,c),d),additive_inverse(multiply(b,multiply(c,d))))))))))))
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_25
    | ~ spl0_27
    | ~ spl0_28
    | ~ spl0_52
    | ~ spl0_58
    | spl0_78 ),
    inference(forward_demodulation,[],[f9073,f904]) ).

fof(f904,plain,
    ( ! [X2,X3,X0,X1] : add(X2,add(X0,add(X1,X3))) = add(X2,add(X1,add(X0,X3)))
    | ~ spl0_12
    | ~ spl0_27
    | ~ spl0_28 ),
    inference(forward_demodulation,[],[f903,f123]) ).

fof(f123,plain,
    ( ! [X2,X0,X1] : add(X0,add(X1,X2)) = add(add(X0,X1),X2)
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f122]) ).

fof(f903,plain,
    ( ! [X2,X3,X0,X1] : add(X2,add(add(X0,X1),X3)) = add(X2,add(X1,add(X0,X3)))
    | ~ spl0_12
    | ~ spl0_27
    | ~ spl0_28 ),
    inference(forward_demodulation,[],[f902,f726]) ).

fof(f902,plain,
    ( ! [X2,X3,X0,X1] : add(X2,add(add(X0,X1),X3)) = add(add(X1,X2),add(X0,X3))
    | ~ spl0_12
    | ~ spl0_27
    | ~ spl0_28 ),
    inference(forward_demodulation,[],[f857,f123]) ).

fof(f857,plain,
    ( ! [X2,X3,X0,X1] : add(add(X1,X2),add(X0,X3)) = add(add(X2,add(X0,X1)),X3)
    | ~ spl0_27
    | ~ spl0_28 ),
    inference(superposition,[],[f726,f730]) ).

fof(f9073,plain,
    ( additive_identity != add(multiply(multiply(a,b),multiply(c,d)),add(multiply(multiply(multiply(a,b),c),d),additive_inverse(add(multiply(a,multiply(b,multiply(c,d))),add(multiply(multiply(a,b),multiply(c,d)),add(multiply(add(multiply(a,multiply(b,c)),add(multiply(multiply(a,b),c),additive_inverse(multiply(a,multiply(b,c))))),d),add(additive_inverse(multiply(a,multiply(multiply(b,c),d))),multiply(a,add(multiply(multiply(b,c),d),additive_inverse(multiply(b,multiply(c,d))))))))))))
    | ~ spl0_8
    | ~ spl0_25
    | ~ spl0_28
    | ~ spl0_52
    | ~ spl0_58
    | spl0_78 ),
    inference(forward_demodulation,[],[f9072,f4743]) ).

fof(f4743,plain,
    ( ! [X2,X3,X0,X1,X4] : add(multiply(add(X4,X0),X1),add(X2,X3)) = add(multiply(X4,X1),add(X2,add(X3,multiply(X0,X1))))
    | ~ spl0_28
    | ~ spl0_58 ),
    inference(superposition,[],[f3923,f730]) ).

fof(f3923,plain,
    ( ! [X2,X3,X0,X1] : add(multiply(X0,X1),add(multiply(X2,X1),X3)) = add(multiply(add(X0,X2),X1),X3)
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f3922]) ).

fof(f9072,plain,
    ( additive_identity != add(multiply(multiply(a,b),multiply(c,d)),add(multiply(multiply(multiply(a,b),c),d),additive_inverse(add(multiply(a,multiply(b,multiply(c,d))),add(multiply(multiply(a,b),multiply(c,d)),add(multiply(multiply(a,multiply(b,c)),d),add(additive_inverse(multiply(a,multiply(multiply(b,c),d))),add(multiply(a,add(multiply(multiply(b,c),d),additive_inverse(multiply(b,multiply(c,d))))),multiply(add(multiply(multiply(a,b),c),additive_inverse(multiply(a,multiply(b,c)))),d)))))))))
    | ~ spl0_8
    | ~ spl0_25
    | ~ spl0_52
    | spl0_78 ),
    inference(forward_demodulation,[],[f9071,f63]) ).

fof(f9071,plain,
    ( additive_identity != add(multiply(multiply(a,b),multiply(c,d)),add(multiply(multiply(multiply(a,b),c),d),additive_inverse(add(multiply(a,multiply(b,multiply(c,d))),add(add(multiply(multiply(a,multiply(b,c)),d),add(additive_inverse(multiply(a,multiply(multiply(b,c),d))),add(multiply(a,add(multiply(multiply(b,c),d),additive_inverse(multiply(b,multiply(c,d))))),multiply(add(multiply(multiply(a,b),c),additive_inverse(multiply(a,multiply(b,c)))),d)))),multiply(multiply(a,b),multiply(c,d)))))))
    | ~ spl0_8
    | ~ spl0_25
    | ~ spl0_52
    | spl0_78 ),
    inference(forward_demodulation,[],[f9070,f63]) ).

fof(f9070,plain,
    ( additive_identity != add(multiply(multiply(a,b),multiply(c,d)),add(multiply(multiply(multiply(a,b),c),d),additive_inverse(add(add(add(multiply(multiply(a,multiply(b,c)),d),add(additive_inverse(multiply(a,multiply(multiply(b,c),d))),add(multiply(a,add(multiply(multiply(b,c),d),additive_inverse(multiply(b,multiply(c,d))))),multiply(add(multiply(multiply(a,b),c),additive_inverse(multiply(a,multiply(b,c)))),d)))),multiply(multiply(a,b),multiply(c,d))),multiply(a,multiply(b,multiply(c,d)))))))
    | ~ spl0_25
    | ~ spl0_52
    | spl0_78 ),
    inference(forward_demodulation,[],[f9069,f4920]) ).

fof(f4920,plain,
    ( ! [X0,X1] : add(additive_inverse(X0),additive_inverse(X1)) = additive_inverse(add(X1,X0))
    | ~ spl0_25
    | ~ spl0_52 ),
    inference(superposition,[],[f604,f3674]) ).

fof(f604,plain,
    ( ! [X0,X1] : add(additive_inverse(X0),add(X0,X1)) = X1
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f603]) ).

fof(f9069,plain,
    ( additive_identity != add(multiply(multiply(a,b),multiply(c,d)),add(multiply(multiply(multiply(a,b),c),d),add(additive_inverse(multiply(a,multiply(b,multiply(c,d)))),additive_inverse(add(add(multiply(multiply(a,multiply(b,c)),d),add(additive_inverse(multiply(a,multiply(multiply(b,c),d))),add(multiply(a,add(multiply(multiply(b,c),d),additive_inverse(multiply(b,multiply(c,d))))),multiply(add(multiply(multiply(a,b),c),additive_inverse(multiply(a,multiply(b,c)))),d)))),multiply(multiply(a,b),multiply(c,d)))))))
    | ~ spl0_25
    | ~ spl0_52
    | spl0_78 ),
    inference(forward_demodulation,[],[f9067,f4920]) ).

fof(f9067,plain,
    ( additive_identity != add(multiply(multiply(a,b),multiply(c,d)),add(multiply(multiply(multiply(a,b),c),d),add(additive_inverse(multiply(a,multiply(b,multiply(c,d)))),add(additive_inverse(multiply(multiply(a,b),multiply(c,d))),additive_inverse(add(multiply(multiply(a,multiply(b,c)),d),add(additive_inverse(multiply(a,multiply(multiply(b,c),d))),add(multiply(a,add(multiply(multiply(b,c),d),additive_inverse(multiply(b,multiply(c,d))))),multiply(add(multiply(multiply(a,b),c),additive_inverse(multiply(a,multiply(b,c)))),d)))))))))
    | spl0_78 ),
    inference(avatar_component_clause,[],[f9065]) ).

fof(f9068,plain,
    ( ~ spl0_78
    | ~ spl0_12
    | spl0_23 ),
    inference(avatar_split_clause,[],[f597,f591,f122,f9065]) ).

fof(f591,plain,
    ( spl0_23
  <=> additive_identity = add(add(multiply(multiply(a,b),multiply(c,d)),add(multiply(multiply(multiply(a,b),c),d),add(additive_inverse(multiply(a,multiply(b,multiply(c,d)))),additive_inverse(multiply(multiply(a,b),multiply(c,d)))))),additive_inverse(add(multiply(multiply(a,multiply(b,c)),d),add(additive_inverse(multiply(a,multiply(multiply(b,c),d))),add(multiply(a,add(multiply(multiply(b,c),d),additive_inverse(multiply(b,multiply(c,d))))),multiply(add(multiply(multiply(a,b),c),additive_inverse(multiply(a,multiply(b,c)))),d)))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f597,plain,
    ( additive_identity != add(multiply(multiply(a,b),multiply(c,d)),add(multiply(multiply(multiply(a,b),c),d),add(additive_inverse(multiply(a,multiply(b,multiply(c,d)))),add(additive_inverse(multiply(multiply(a,b),multiply(c,d))),additive_inverse(add(multiply(multiply(a,multiply(b,c)),d),add(additive_inverse(multiply(a,multiply(multiply(b,c),d))),add(multiply(a,add(multiply(multiply(b,c),d),additive_inverse(multiply(b,multiply(c,d))))),multiply(add(multiply(multiply(a,b),c),additive_inverse(multiply(a,multiply(b,c)))),d)))))))))
    | ~ spl0_12
    | spl0_23 ),
    inference(forward_demodulation,[],[f596,f123]) ).

fof(f596,plain,
    ( additive_identity != add(multiply(multiply(a,b),multiply(c,d)),add(multiply(multiply(multiply(a,b),c),d),add(add(additive_inverse(multiply(a,multiply(b,multiply(c,d)))),additive_inverse(multiply(multiply(a,b),multiply(c,d)))),additive_inverse(add(multiply(multiply(a,multiply(b,c)),d),add(additive_inverse(multiply(a,multiply(multiply(b,c),d))),add(multiply(a,add(multiply(multiply(b,c),d),additive_inverse(multiply(b,multiply(c,d))))),multiply(add(multiply(multiply(a,b),c),additive_inverse(multiply(a,multiply(b,c)))),d))))))))
    | ~ spl0_12
    | spl0_23 ),
    inference(forward_demodulation,[],[f595,f123]) ).

fof(f595,plain,
    ( additive_identity != add(multiply(multiply(a,b),multiply(c,d)),add(add(multiply(multiply(multiply(a,b),c),d),add(additive_inverse(multiply(a,multiply(b,multiply(c,d)))),additive_inverse(multiply(multiply(a,b),multiply(c,d))))),additive_inverse(add(multiply(multiply(a,multiply(b,c)),d),add(additive_inverse(multiply(a,multiply(multiply(b,c),d))),add(multiply(a,add(multiply(multiply(b,c),d),additive_inverse(multiply(b,multiply(c,d))))),multiply(add(multiply(multiply(a,b),c),additive_inverse(multiply(a,multiply(b,c)))),d)))))))
    | ~ spl0_12
    | spl0_23 ),
    inference(superposition,[],[f593,f123]) ).

fof(f593,plain,
    ( additive_identity != add(add(multiply(multiply(a,b),multiply(c,d)),add(multiply(multiply(multiply(a,b),c),d),add(additive_inverse(multiply(a,multiply(b,multiply(c,d)))),additive_inverse(multiply(multiply(a,b),multiply(c,d)))))),additive_inverse(add(multiply(multiply(a,multiply(b,c)),d),add(additive_inverse(multiply(a,multiply(multiply(b,c),d))),add(multiply(a,add(multiply(multiply(b,c),d),additive_inverse(multiply(b,multiply(c,d))))),multiply(add(multiply(multiply(a,b),c),additive_inverse(multiply(a,multiply(b,c)))),d))))))
    | spl0_23 ),
    inference(avatar_component_clause,[],[f591]) ).

fof(f7664,plain,
    ( spl0_77
    | ~ spl0_5
    | ~ spl0_37
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f4948,f3673,f1231,f44,f7662]) ).

fof(f7662,plain,
    ( spl0_77
  <=> ! [X0,X1] : add(add(X1,X0),additive_inverse(X1)) = X0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f1231,plain,
    ( spl0_37
  <=> ! [X0,X1] : add(additive_inverse(X0),add(X1,X0)) = X1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f4948,plain,
    ( ! [X0,X1] : add(add(X1,X0),additive_inverse(X1)) = X0
    | ~ spl0_5
    | ~ spl0_37
    | ~ spl0_52 ),
    inference(forward_demodulation,[],[f4902,f45]) ).

fof(f4902,plain,
    ( ! [X0,X1] : additive_inverse(additive_inverse(X0)) = add(add(X1,X0),additive_inverse(X1))
    | ~ spl0_37
    | ~ spl0_52 ),
    inference(superposition,[],[f3674,f1232]) ).

fof(f1232,plain,
    ( ! [X0,X1] : add(additive_inverse(X0),add(X1,X0)) = X1
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f1231]) ).

fof(f7407,plain,
    ( spl0_76
    | ~ spl0_12
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f534,f455,f122,f7405]) ).

fof(f7405,plain,
    ( spl0_76
  <=> ! [X0,X3,X2,X1] : add(additive_inverse(multiply(X0,X1)),add(additive_inverse(multiply(X2,X1)),X3)) = add(additive_inverse(multiply(add(X0,X2),X1)),X3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f455,plain,
    ( spl0_21
  <=> ! [X2,X0,X1] : add(additive_inverse(multiply(X0,X2)),additive_inverse(multiply(X1,X2))) = additive_inverse(multiply(add(X0,X1),X2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f534,plain,
    ( ! [X2,X3,X0,X1] : add(additive_inverse(multiply(X0,X1)),add(additive_inverse(multiply(X2,X1)),X3)) = add(additive_inverse(multiply(add(X0,X2),X1)),X3)
    | ~ spl0_12
    | ~ spl0_21 ),
    inference(superposition,[],[f123,f456]) ).

fof(f456,plain,
    ( ! [X2,X0,X1] : add(additive_inverse(multiply(X0,X2)),additive_inverse(multiply(X1,X2))) = additive_inverse(multiply(add(X0,X1),X2))
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f455]) ).

fof(f7403,plain,
    ( spl0_75
    | ~ spl0_15
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f527,f455,f135,f7401]) ).

fof(f7401,plain,
    ( spl0_75
  <=> ! [X2,X0,X1] : additive_inverse(multiply(add(X2,multiply(X0,X0)),X1)) = add(additive_inverse(multiply(X2,X1)),additive_inverse(multiply(X0,multiply(X0,X1)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f135,plain,
    ( spl0_15
  <=> ! [X0,X1] : multiply(multiply(X0,X0),X1) = multiply(X0,multiply(X0,X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f527,plain,
    ( ! [X2,X0,X1] : additive_inverse(multiply(add(X2,multiply(X0,X0)),X1)) = add(additive_inverse(multiply(X2,X1)),additive_inverse(multiply(X0,multiply(X0,X1))))
    | ~ spl0_15
    | ~ spl0_21 ),
    inference(superposition,[],[f456,f136]) ).

fof(f136,plain,
    ( ! [X0,X1] : multiply(multiply(X0,X0),X1) = multiply(X0,multiply(X0,X1))
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f135]) ).

fof(f7399,plain,
    ( spl0_74
    | ~ spl0_14
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f526,f455,f131,f7397]) ).

fof(f7397,plain,
    ( spl0_74
  <=> ! [X2,X0,X1] : additive_inverse(multiply(add(X2,multiply(X0,X1)),X1)) = add(additive_inverse(multiply(X2,X1)),additive_inverse(multiply(X0,multiply(X1,X1)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f131,plain,
    ( spl0_14
  <=> ! [X0,X1] : multiply(multiply(X0,X1),X1) = multiply(X0,multiply(X1,X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f526,plain,
    ( ! [X2,X0,X1] : additive_inverse(multiply(add(X2,multiply(X0,X1)),X1)) = add(additive_inverse(multiply(X2,X1)),additive_inverse(multiply(X0,multiply(X1,X1))))
    | ~ spl0_14
    | ~ spl0_21 ),
    inference(superposition,[],[f456,f132]) ).

fof(f132,plain,
    ( ! [X0,X1] : multiply(multiply(X0,X1),X1) = multiply(X0,multiply(X1,X1))
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f131]) ).

fof(f7395,plain,
    ( spl0_73
    | ~ spl0_15
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f520,f455,f135,f7393]) ).

fof(f7393,plain,
    ( spl0_73
  <=> ! [X2,X0,X1] : additive_inverse(multiply(add(multiply(X0,X0),X2),X1)) = add(additive_inverse(multiply(X0,multiply(X0,X1))),additive_inverse(multiply(X2,X1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f520,plain,
    ( ! [X2,X0,X1] : additive_inverse(multiply(add(multiply(X0,X0),X2),X1)) = add(additive_inverse(multiply(X0,multiply(X0,X1))),additive_inverse(multiply(X2,X1)))
    | ~ spl0_15
    | ~ spl0_21 ),
    inference(superposition,[],[f456,f136]) ).

fof(f7391,plain,
    ( spl0_72
    | ~ spl0_14
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f519,f455,f131,f7389]) ).

fof(f7389,plain,
    ( spl0_72
  <=> ! [X2,X0,X1] : additive_inverse(multiply(add(multiply(X0,X1),X2),X1)) = add(additive_inverse(multiply(X0,multiply(X1,X1))),additive_inverse(multiply(X2,X1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f519,plain,
    ( ! [X2,X0,X1] : additive_inverse(multiply(add(multiply(X0,X1),X2),X1)) = add(additive_inverse(multiply(X0,multiply(X1,X1))),additive_inverse(multiply(X2,X1)))
    | ~ spl0_14
    | ~ spl0_21 ),
    inference(superposition,[],[f456,f132]) ).

fof(f7387,plain,
    ( spl0_71
    | ~ spl0_12
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f474,f451,f122,f7385]) ).

fof(f7385,plain,
    ( spl0_71
  <=> ! [X0,X3,X2,X1] : add(additive_inverse(multiply(X0,X1)),add(additive_inverse(multiply(X0,X2)),X3)) = add(additive_inverse(multiply(X0,add(X1,X2))),X3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f451,plain,
    ( spl0_20
  <=> ! [X2,X0,X1] : add(additive_inverse(multiply(X0,X1)),additive_inverse(multiply(X0,X2))) = additive_inverse(multiply(X0,add(X1,X2))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f474,plain,
    ( ! [X2,X3,X0,X1] : add(additive_inverse(multiply(X0,X1)),add(additive_inverse(multiply(X0,X2)),X3)) = add(additive_inverse(multiply(X0,add(X1,X2))),X3)
    | ~ spl0_12
    | ~ spl0_20 ),
    inference(superposition,[],[f123,f452]) ).

fof(f452,plain,
    ( ! [X2,X0,X1] : add(additive_inverse(multiply(X0,X1)),additive_inverse(multiply(X0,X2))) = additive_inverse(multiply(X0,add(X1,X2)))
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f451]) ).

fof(f6748,plain,
    ( spl0_70
    | ~ spl0_5
    | ~ spl0_25
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f4947,f3673,f603,f44,f6746]) ).

fof(f6746,plain,
    ( spl0_70
  <=> ! [X0,X1] : add(add(X0,X1),additive_inverse(X1)) = X0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f4947,plain,
    ( ! [X0,X1] : add(add(X0,X1),additive_inverse(X1)) = X0
    | ~ spl0_5
    | ~ spl0_25
    | ~ spl0_52 ),
    inference(forward_demodulation,[],[f4901,f45]) ).

fof(f4901,plain,
    ( ! [X0,X1] : additive_inverse(additive_inverse(X0)) = add(add(X0,X1),additive_inverse(X1))
    | ~ spl0_25
    | ~ spl0_52 ),
    inference(superposition,[],[f3674,f604]) ).

fof(f5005,plain,
    ( spl0_69
    | ~ spl0_12
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f411,f330,f122,f5003]) ).

fof(f5003,plain,
    ( spl0_69
  <=> ! [X0,X3,X2,X1] : add(multiply(X0,X1),add(additive_inverse(multiply(X2,X1)),X3)) = add(multiply(add(X0,additive_inverse(X2)),X1),X3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f330,plain,
    ( spl0_19
  <=> ! [X2,X0,X1] : multiply(add(X0,additive_inverse(X1)),X2) = add(multiply(X0,X2),additive_inverse(multiply(X1,X2))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f411,plain,
    ( ! [X2,X3,X0,X1] : add(multiply(X0,X1),add(additive_inverse(multiply(X2,X1)),X3)) = add(multiply(add(X0,additive_inverse(X2)),X1),X3)
    | ~ spl0_12
    | ~ spl0_19 ),
    inference(superposition,[],[f123,f331]) ).

fof(f331,plain,
    ( ! [X2,X0,X1] : multiply(add(X0,additive_inverse(X1)),X2) = add(multiply(X0,X2),additive_inverse(multiply(X1,X2)))
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f330]) ).

fof(f5001,plain,
    ( spl0_68
    | ~ spl0_15
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f402,f330,f135,f4999]) ).

fof(f4999,plain,
    ( spl0_68
  <=> ! [X2,X0,X1] : multiply(add(X2,additive_inverse(multiply(X0,X0))),X1) = add(multiply(X2,X1),additive_inverse(multiply(X0,multiply(X0,X1)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f402,plain,
    ( ! [X2,X0,X1] : multiply(add(X2,additive_inverse(multiply(X0,X0))),X1) = add(multiply(X2,X1),additive_inverse(multiply(X0,multiply(X0,X1))))
    | ~ spl0_15
    | ~ spl0_19 ),
    inference(superposition,[],[f331,f136]) ).

fof(f4997,plain,
    ( spl0_67
    | ~ spl0_14
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f401,f330,f131,f4995]) ).

fof(f4995,plain,
    ( spl0_67
  <=> ! [X2,X0,X1] : multiply(add(X2,additive_inverse(multiply(X0,X1))),X1) = add(multiply(X2,X1),additive_inverse(multiply(X0,multiply(X1,X1)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f401,plain,
    ( ! [X2,X0,X1] : multiply(add(X2,additive_inverse(multiply(X0,X1))),X1) = add(multiply(X2,X1),additive_inverse(multiply(X0,multiply(X1,X1))))
    | ~ spl0_14
    | ~ spl0_19 ),
    inference(superposition,[],[f331,f132]) ).

fof(f4874,plain,
    ( spl0_66
    | ~ spl0_15
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f395,f330,f135,f4872]) ).

fof(f4872,plain,
    ( spl0_66
  <=> ! [X2,X0,X1] : multiply(add(multiply(X0,X0),additive_inverse(X2)),X1) = add(multiply(X0,multiply(X0,X1)),additive_inverse(multiply(X2,X1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f395,plain,
    ( ! [X2,X0,X1] : multiply(add(multiply(X0,X0),additive_inverse(X2)),X1) = add(multiply(X0,multiply(X0,X1)),additive_inverse(multiply(X2,X1)))
    | ~ spl0_15
    | ~ spl0_19 ),
    inference(superposition,[],[f331,f136]) ).

fof(f4870,plain,
    ( spl0_65
    | ~ spl0_14
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f394,f330,f131,f4868]) ).

fof(f4868,plain,
    ( spl0_65
  <=> ! [X2,X0,X1] : multiply(add(multiply(X0,X1),additive_inverse(X2)),X1) = add(multiply(X0,multiply(X1,X1)),additive_inverse(multiply(X2,X1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f394,plain,
    ( ! [X2,X0,X1] : multiply(add(multiply(X0,X1),additive_inverse(X2)),X1) = add(multiply(X0,multiply(X1,X1)),additive_inverse(multiply(X2,X1)))
    | ~ spl0_14
    | ~ spl0_19 ),
    inference(superposition,[],[f331,f132]) ).

fof(f4866,plain,
    ( spl0_64
    | ~ spl0_12
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f351,f315,f122,f4864]) ).

fof(f351,plain,
    ( ! [X2,X3,X0,X1] : add(multiply(X0,X1),add(additive_inverse(multiply(X0,X2)),X3)) = add(multiply(X0,add(X1,additive_inverse(X2))),X3)
    | ~ spl0_12
    | ~ spl0_18 ),
    inference(superposition,[],[f123,f316]) ).

fof(f4862,plain,
    ( spl0_63
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f263,f233,f135,f4860]) ).

fof(f4860,plain,
    ( spl0_63
  <=> ! [X2,X0,X1] : add(multiply(X0,multiply(X0,X1)),multiply(X0,multiply(X0,X2))) = multiply(X0,multiply(X0,add(X1,X2))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f263,plain,
    ( ! [X2,X0,X1] : add(multiply(X0,multiply(X0,X1)),multiply(X0,multiply(X0,X2))) = multiply(X0,multiply(X0,add(X1,X2)))
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f262,f136]) ).

fof(f262,plain,
    ( ! [X2,X0,X1] : multiply(multiply(X0,X0),add(X1,X2)) = add(multiply(X0,multiply(X0,X1)),multiply(X0,multiply(X0,X2)))
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f244,f136]) ).

fof(f244,plain,
    ( ! [X2,X0,X1] : multiply(multiply(X0,X0),add(X1,X2)) = add(multiply(X0,multiply(X0,X1)),multiply(multiply(X0,X0),X2))
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(superposition,[],[f234,f136]) ).

fof(f4858,plain,
    ( spl0_62
    | ~ spl0_14
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f250,f233,f131,f4856]) ).

fof(f4856,plain,
    ( spl0_62
  <=> ! [X2,X0,X1] : multiply(multiply(X0,X1),add(X2,X1)) = add(multiply(multiply(X0,X1),X2),multiply(X0,multiply(X1,X1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f250,plain,
    ( ! [X2,X0,X1] : multiply(multiply(X0,X1),add(X2,X1)) = add(multiply(multiply(X0,X1),X2),multiply(X0,multiply(X1,X1)))
    | ~ spl0_14
    | ~ spl0_16 ),
    inference(superposition,[],[f234,f132]) ).

fof(f4854,plain,
    ( spl0_61
    | ~ spl0_14
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f243,f233,f131,f4852]) ).

fof(f4852,plain,
    ( spl0_61
  <=> ! [X2,X0,X1] : multiply(multiply(X0,X1),add(X1,X2)) = add(multiply(X0,multiply(X1,X1)),multiply(multiply(X0,X1),X2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f243,plain,
    ( ! [X2,X0,X1] : multiply(multiply(X0,X1),add(X1,X2)) = add(multiply(X0,multiply(X1,X1)),multiply(multiply(X0,X1),X2))
    | ~ spl0_14
    | ~ spl0_16 ),
    inference(superposition,[],[f234,f132]) ).

fof(f4850,plain,
    ( spl0_60
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f216,f135,f4848]) ).

fof(f4848,plain,
    ( spl0_60
  <=> ! [X0,X1] : multiply(multiply(X0,multiply(X0,multiply(X0,X0))),X1) = multiply(X0,multiply(X0,multiply(X0,multiply(X0,X1)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f216,plain,
    ( ! [X0,X1] : multiply(multiply(X0,multiply(X0,multiply(X0,X0))),X1) = multiply(X0,multiply(X0,multiply(X0,multiply(X0,X1))))
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f215,f136]) ).

fof(f215,plain,
    ( ! [X0,X1] : multiply(multiply(X0,multiply(X0,multiply(X0,X0))),X1) = multiply(X0,multiply(X0,multiply(multiply(X0,X0),X1)))
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f199,f136]) ).

fof(f199,plain,
    ( ! [X0,X1] : multiply(multiply(X0,X0),multiply(multiply(X0,X0),X1)) = multiply(multiply(X0,multiply(X0,multiply(X0,X0))),X1)
    | ~ spl0_15 ),
    inference(superposition,[],[f136,f136]) ).

fof(f4373,plain,
    ( spl0_59
    | ~ spl0_1
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f831,f729,f28,f4371]) ).

fof(f4371,plain,
    ( spl0_59
  <=> ! [X0,X1] : add(X1,X0) = add(additive_identity,add(X0,X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f831,plain,
    ( ! [X0,X1] : add(X1,X0) = add(additive_identity,add(X0,X1))
    | ~ spl0_1
    | ~ spl0_28 ),
    inference(superposition,[],[f730,f29]) ).

fof(f3924,plain,
    ( spl0_58
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f297,f237,f122,f3922]) ).

fof(f237,plain,
    ( spl0_17
  <=> ! [X2,X0,X1] : multiply(add(X0,X1),X2) = add(multiply(X0,X2),multiply(X1,X2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f297,plain,
    ( ! [X2,X3,X0,X1] : add(multiply(X0,X1),add(multiply(X2,X1),X3)) = add(multiply(add(X0,X2),X1),X3)
    | ~ spl0_12
    | ~ spl0_17 ),
    inference(superposition,[],[f123,f238]) ).

fof(f238,plain,
    ( ! [X2,X0,X1] : multiply(add(X0,X1),X2) = add(multiply(X0,X2),multiply(X1,X2))
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f237]) ).

fof(f3920,plain,
    ( spl0_57
    | ~ spl0_15
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f290,f237,f135,f3918]) ).

fof(f3918,plain,
    ( spl0_57
  <=> ! [X2,X0,X1] : multiply(add(X2,multiply(X0,X0)),X1) = add(multiply(X2,X1),multiply(X0,multiply(X0,X1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f290,plain,
    ( ! [X2,X0,X1] : multiply(add(X2,multiply(X0,X0)),X1) = add(multiply(X2,X1),multiply(X0,multiply(X0,X1)))
    | ~ spl0_15
    | ~ spl0_17 ),
    inference(superposition,[],[f238,f136]) ).

fof(f3916,plain,
    ( spl0_56
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f289,f237,f131,f3914]) ).

fof(f3914,plain,
    ( spl0_56
  <=> ! [X2,X0,X1] : multiply(add(X2,multiply(X0,X1)),X1) = add(multiply(X2,X1),multiply(X0,multiply(X1,X1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f289,plain,
    ( ! [X2,X0,X1] : multiply(add(X2,multiply(X0,X1)),X1) = add(multiply(X2,X1),multiply(X0,multiply(X1,X1)))
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(superposition,[],[f238,f132]) ).

fof(f3912,plain,
    ( spl0_55
    | ~ spl0_15
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f283,f237,f135,f3910]) ).

fof(f3910,plain,
    ( spl0_55
  <=> ! [X2,X0,X1] : multiply(add(multiply(X0,X0),X2),X1) = add(multiply(X0,multiply(X0,X1)),multiply(X2,X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f283,plain,
    ( ! [X2,X0,X1] : multiply(add(multiply(X0,X0),X2),X1) = add(multiply(X0,multiply(X0,X1)),multiply(X2,X1))
    | ~ spl0_15
    | ~ spl0_17 ),
    inference(superposition,[],[f238,f136]) ).

fof(f3908,plain,
    ( spl0_54
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f282,f237,f131,f3906]) ).

fof(f3906,plain,
    ( spl0_54
  <=> ! [X2,X0,X1] : multiply(add(multiply(X0,X1),X2),X1) = add(multiply(X0,multiply(X1,X1)),multiply(X2,X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f282,plain,
    ( ! [X2,X0,X1] : multiply(add(multiply(X0,X1),X2),X1) = add(multiply(X0,multiply(X1,X1)),multiply(X2,X1))
    | ~ spl0_14
    | ~ spl0_17 ),
    inference(superposition,[],[f238,f132]) ).

fof(f3904,plain,
    ( spl0_53
    | ~ spl0_12
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f256,f233,f122,f3902]) ).

fof(f3902,plain,
    ( spl0_53
  <=> ! [X0,X3,X2,X1] : add(multiply(X0,X1),add(multiply(X0,X2),X3)) = add(multiply(X0,add(X1,X2)),X3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f256,plain,
    ( ! [X2,X3,X0,X1] : add(multiply(X0,X1),add(multiply(X0,X2),X3)) = add(multiply(X0,add(X1,X2)),X3)
    | ~ spl0_12
    | ~ spl0_16 ),
    inference(superposition,[],[f123,f234]) ).

fof(f3675,plain,
    ( spl0_52
    | ~ spl0_2
    | ~ spl0_25
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f715,f650,f603,f32,f3673]) ).

fof(f32,plain,
    ( spl0_2
  <=> ! [X0] : add(X0,additive_identity) = X0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f650,plain,
    ( spl0_26
  <=> ! [X0,X1] : additive_identity = add(X0,add(X1,additive_inverse(add(X0,X1)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f715,plain,
    ( ! [X0,X1] : additive_inverse(X0) = add(X1,additive_inverse(add(X0,X1)))
    | ~ spl0_2
    | ~ spl0_25
    | ~ spl0_26 ),
    inference(forward_demodulation,[],[f676,f33]) ).

fof(f33,plain,
    ( ! [X0] : add(X0,additive_identity) = X0
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f32]) ).

fof(f676,plain,
    ( ! [X0,X1] : add(X1,additive_inverse(add(X0,X1))) = add(additive_inverse(X0),additive_identity)
    | ~ spl0_25
    | ~ spl0_26 ),
    inference(superposition,[],[f604,f651]) ).

fof(f651,plain,
    ( ! [X0,X1] : additive_identity = add(X0,add(X1,additive_inverse(add(X0,X1))))
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f650]) ).

fof(f3461,plain,
    ( spl0_51
    | ~ spl0_8
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f531,f455,f62,f3459]) ).

fof(f3459,plain,
    ( spl0_51
  <=> ! [X2,X0,X1] : additive_inverse(multiply(add(X0,X2),X1)) = add(additive_inverse(multiply(X2,X1)),additive_inverse(multiply(X0,X1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f531,plain,
    ( ! [X2,X0,X1] : additive_inverse(multiply(add(X0,X2),X1)) = add(additive_inverse(multiply(X2,X1)),additive_inverse(multiply(X0,X1)))
    | ~ spl0_8
    | ~ spl0_21 ),
    inference(superposition,[],[f456,f63]) ).

fof(f3457,plain,
    ( spl0_50
    | ~ spl0_8
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f472,f451,f62,f3455]) ).

fof(f3455,plain,
    ( spl0_50
  <=> ! [X2,X0,X1] : add(additive_inverse(multiply(X0,X2)),additive_inverse(multiply(X0,X1))) = additive_inverse(multiply(X0,add(X1,X2))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f472,plain,
    ( ! [X2,X0,X1] : add(additive_inverse(multiply(X0,X2)),additive_inverse(multiply(X0,X1))) = additive_inverse(multiply(X0,add(X1,X2)))
    | ~ spl0_8
    | ~ spl0_20 ),
    inference(superposition,[],[f452,f63]) ).

fof(f2521,plain,
    ( spl0_49
    | ~ spl0_8
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f407,f330,f62,f2519]) ).

fof(f2519,plain,
    ( spl0_49
  <=> ! [X2,X0,X1] : add(additive_inverse(multiply(X2,X1)),multiply(X0,X1)) = multiply(add(X0,additive_inverse(X2)),X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f407,plain,
    ( ! [X2,X0,X1] : add(additive_inverse(multiply(X2,X1)),multiply(X0,X1)) = multiply(add(X0,additive_inverse(X2)),X1)
    | ~ spl0_8
    | ~ spl0_19 ),
    inference(superposition,[],[f331,f63]) ).

fof(f2449,plain,
    ( spl0_48
    | ~ spl0_8
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f348,f315,f62,f2447]) ).

fof(f2447,plain,
    ( spl0_48
  <=> ! [X2,X0,X1] : multiply(X0,add(X1,additive_inverse(X2))) = add(additive_inverse(multiply(X0,X2)),multiply(X0,X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f348,plain,
    ( ! [X2,X0,X1] : multiply(X0,add(X1,additive_inverse(X2))) = add(additive_inverse(multiply(X0,X2)),multiply(X0,X1))
    | ~ spl0_8
    | ~ spl0_18 ),
    inference(superposition,[],[f316,f63]) ).

fof(f2445,plain,
    ( spl0_47
    | ~ spl0_10
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f285,f237,f82,f2443]) ).

fof(f2443,plain,
    ( spl0_47
  <=> ! [X2,X0,X1] : multiply(add(additive_inverse(X0),X2),X1) = add(additive_inverse(multiply(X0,X1)),multiply(X2,X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f285,plain,
    ( ! [X2,X0,X1] : multiply(add(additive_inverse(X0),X2),X1) = add(additive_inverse(multiply(X0,X1)),multiply(X2,X1))
    | ~ spl0_10
    | ~ spl0_17 ),
    inference(superposition,[],[f238,f83]) ).

fof(f2441,plain,
    ( spl0_46
    | ~ spl0_11
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f241,f233,f86,f2439]) ).

fof(f2439,plain,
    ( spl0_46
  <=> ! [X2,X0,X1] : multiply(X0,add(additive_inverse(X1),X2)) = add(additive_inverse(multiply(X0,X1)),multiply(X0,X2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f86,plain,
    ( spl0_11
  <=> ! [X0,X1] : additive_inverse(multiply(X0,X1)) = multiply(X0,additive_inverse(X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f241,plain,
    ( ! [X2,X0,X1] : multiply(X0,add(additive_inverse(X1),X2)) = add(additive_inverse(multiply(X0,X1)),multiply(X0,X2))
    | ~ spl0_11
    | ~ spl0_16 ),
    inference(superposition,[],[f234,f87]) ).

fof(f87,plain,
    ( ! [X0,X1] : additive_inverse(multiply(X0,X1)) = multiply(X0,additive_inverse(X1))
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f86]) ).

fof(f2437,plain,
    ( spl0_45
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f228,f135,f131,f2435]) ).

fof(f2435,plain,
    ( spl0_45
  <=> ! [X0,X1] : multiply(multiply(X0,multiply(X0,X1)),X1) = multiply(X0,multiply(X0,multiply(X1,X1))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f228,plain,
    ( ! [X0,X1] : multiply(multiply(X0,multiply(X0,X1)),X1) = multiply(X0,multiply(X0,multiply(X1,X1)))
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f204,f136]) ).

fof(f204,plain,
    ( ! [X0,X1] : multiply(multiply(X0,X0),multiply(X1,X1)) = multiply(multiply(X0,multiply(X0,X1)),X1)
    | ~ spl0_14
    | ~ spl0_15 ),
    inference(superposition,[],[f132,f136]) ).

fof(f2433,plain,
    ( spl0_44
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f160,f131,f2431]) ).

fof(f2431,plain,
    ( spl0_44
  <=> ! [X0,X1] : multiply(multiply(X0,X1),multiply(X1,X1)) = multiply(multiply(X0,multiply(X1,X1)),X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f160,plain,
    ( ! [X0,X1] : multiply(multiply(X0,X1),multiply(X1,X1)) = multiply(multiply(X0,multiply(X1,X1)),X1)
    | ~ spl0_14 ),
    inference(superposition,[],[f132,f132]) ).

fof(f1257,plain,
    ( spl0_43
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_19
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f552,f455,f330,f82,f44,f1255]) ).

fof(f1255,plain,
    ( spl0_43
  <=> ! [X2,X0,X1] : multiply(add(X0,additive_inverse(X2)),X1) = additive_inverse(multiply(add(additive_inverse(X0),X2),X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f552,plain,
    ( ! [X2,X0,X1] : multiply(add(X0,additive_inverse(X2)),X1) = additive_inverse(multiply(add(additive_inverse(X0),X2),X1))
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_19
    | ~ spl0_21 ),
    inference(forward_demodulation,[],[f551,f331]) ).

fof(f551,plain,
    ( ! [X2,X0,X1] : add(multiply(X0,X1),additive_inverse(multiply(X2,X1))) = additive_inverse(multiply(add(additive_inverse(X0),X2),X1))
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_21 ),
    inference(forward_demodulation,[],[f522,f45]) ).

fof(f522,plain,
    ( ! [X2,X0,X1] : additive_inverse(multiply(add(additive_inverse(X0),X2),X1)) = add(additive_inverse(additive_inverse(multiply(X0,X1))),additive_inverse(multiply(X2,X1)))
    | ~ spl0_10
    | ~ spl0_21 ),
    inference(superposition,[],[f456,f83]) ).

fof(f1253,plain,
    ( spl0_42
    | ~ spl0_10
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f426,f330,f82,f1251]) ).

fof(f1251,plain,
    ( spl0_42
  <=> ! [X2,X0,X1] : additive_inverse(multiply(add(X0,X2),X1)) = multiply(add(additive_inverse(X0),additive_inverse(X2)),X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f426,plain,
    ( ! [X2,X0,X1] : additive_inverse(multiply(add(X0,X2),X1)) = multiply(add(additive_inverse(X0),additive_inverse(X2)),X1)
    | ~ spl0_10
    | ~ spl0_19 ),
    inference(forward_demodulation,[],[f397,f26]) ).

fof(f26,plain,
    ! [X2,X0,X1] : add(additive_inverse(multiply(X0,X2)),additive_inverse(multiply(X1,X2))) = additive_inverse(multiply(add(X0,X1),X2)),
    inference(forward_demodulation,[],[f22,f18]) ).

fof(f18,axiom,
    ! [X0,X1] : additive_inverse(multiply(X0,X1)) = multiply(X0,additive_inverse(X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse_product2) ).

fof(f22,axiom,
    ! [X2,X0,X1] : multiply(add(X0,X1),additive_inverse(X2)) = add(additive_inverse(multiply(X0,X2)),additive_inverse(multiply(X1,X2))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity_of_difference4) ).

fof(f397,plain,
    ( ! [X2,X0,X1] : add(additive_inverse(multiply(X0,X1)),additive_inverse(multiply(X2,X1))) = multiply(add(additive_inverse(X0),additive_inverse(X2)),X1)
    | ~ spl0_10
    | ~ spl0_19 ),
    inference(superposition,[],[f331,f83]) ).

fof(f1249,plain,
    ( spl0_41
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_17
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f425,f330,f237,f86,f78,f44,f1247]) ).

fof(f1247,plain,
    ( spl0_41
  <=> ! [X2,X0,X1] : multiply(add(X0,X2),X1) = multiply(add(additive_inverse(X0),additive_inverse(X2)),additive_inverse(X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f78,plain,
    ( spl0_9
  <=> ! [X0,X1] : multiply(X0,X1) = multiply(additive_inverse(X0),additive_inverse(X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f425,plain,
    ( ! [X2,X0,X1] : multiply(add(X0,X2),X1) = multiply(add(additive_inverse(X0),additive_inverse(X2)),additive_inverse(X1))
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_17
    | ~ spl0_19 ),
    inference(forward_demodulation,[],[f424,f238]) ).

fof(f424,plain,
    ( ! [X2,X0,X1] : add(multiply(X0,X1),multiply(X2,X1)) = multiply(add(additive_inverse(X0),additive_inverse(X2)),additive_inverse(X1))
    | ~ spl0_5
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_19 ),
    inference(forward_demodulation,[],[f423,f45]) ).

fof(f423,plain,
    ( ! [X2,X0,X1] : multiply(add(additive_inverse(X0),additive_inverse(X2)),additive_inverse(X1)) = add(multiply(X0,X1),additive_inverse(additive_inverse(multiply(X2,X1))))
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_19 ),
    inference(forward_demodulation,[],[f396,f87]) ).

fof(f396,plain,
    ( ! [X2,X0,X1] : multiply(add(additive_inverse(X0),additive_inverse(X2)),additive_inverse(X1)) = add(multiply(X0,X1),additive_inverse(multiply(X2,additive_inverse(X1))))
    | ~ spl0_9
    | ~ spl0_19 ),
    inference(superposition,[],[f331,f79]) ).

fof(f79,plain,
    ( ! [X0,X1] : multiply(X0,X1) = multiply(additive_inverse(X0),additive_inverse(X1))
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f78]) ).

fof(f1245,plain,
    ( spl0_40
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_17
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f420,f330,f237,f86,f82,f44,f1243]) ).

fof(f1243,plain,
    ( spl0_40
  <=> ! [X2,X0,X1] : multiply(add(additive_inverse(X0),X2),X1) = additive_inverse(multiply(add(X0,additive_inverse(X2)),X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f420,plain,
    ( ! [X2,X0,X1] : multiply(add(additive_inverse(X0),X2),X1) = additive_inverse(multiply(add(X0,additive_inverse(X2)),X1))
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_17
    | ~ spl0_19 ),
    inference(forward_demodulation,[],[f419,f285]) ).

fof(f419,plain,
    ( ! [X2,X0,X1] : add(additive_inverse(multiply(X0,X1)),multiply(X2,X1)) = additive_inverse(multiply(add(X0,additive_inverse(X2)),X1))
    | ~ spl0_5
    | ~ spl0_11
    | ~ spl0_19 ),
    inference(forward_demodulation,[],[f418,f87]) ).

fof(f418,plain,
    ( ! [X2,X0,X1] : add(additive_inverse(multiply(X0,X1)),multiply(X2,X1)) = multiply(add(X0,additive_inverse(X2)),additive_inverse(X1))
    | ~ spl0_5
    | ~ spl0_11
    | ~ spl0_19 ),
    inference(forward_demodulation,[],[f417,f45]) ).

fof(f417,plain,
    ( ! [X2,X0,X1] : multiply(add(X0,additive_inverse(X2)),additive_inverse(X1)) = add(additive_inverse(multiply(X0,X1)),additive_inverse(additive_inverse(multiply(X2,X1))))
    | ~ spl0_11
    | ~ spl0_19 ),
    inference(forward_demodulation,[],[f392,f87]) ).

fof(f392,plain,
    ( ! [X2,X0,X1] : multiply(add(X0,additive_inverse(X2)),additive_inverse(X1)) = add(additive_inverse(multiply(X0,X1)),additive_inverse(multiply(X2,additive_inverse(X1))))
    | ~ spl0_11
    | ~ spl0_19 ),
    inference(superposition,[],[f331,f87]) ).

fof(f1241,plain,
    ( spl0_39
    | ~ spl0_11
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f356,f315,f86,f1239]) ).

fof(f1239,plain,
    ( spl0_39
  <=> ! [X2,X0,X1] : additive_inverse(multiply(X0,add(X1,X2))) = multiply(X0,add(additive_inverse(X1),additive_inverse(X2))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f356,plain,
    ( ! [X2,X0,X1] : additive_inverse(multiply(X0,add(X1,X2))) = multiply(X0,add(additive_inverse(X1),additive_inverse(X2)))
    | ~ spl0_11
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f334,f25]) ).

fof(f25,plain,
    ! [X2,X0,X1] : add(additive_inverse(multiply(X0,X1)),additive_inverse(multiply(X0,X2))) = additive_inverse(multiply(X0,add(X1,X2))),
    inference(forward_demodulation,[],[f21,f17]) ).

fof(f17,axiom,
    ! [X0,X1] : additive_inverse(multiply(X0,X1)) = multiply(additive_inverse(X0),X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inverse_product1) ).

fof(f21,axiom,
    ! [X2,X0,X1] : multiply(additive_inverse(X0),add(X1,X2)) = add(additive_inverse(multiply(X0,X1)),additive_inverse(multiply(X0,X2))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity_of_difference3) ).

fof(f334,plain,
    ( ! [X2,X0,X1] : add(additive_inverse(multiply(X0,X1)),additive_inverse(multiply(X0,X2))) = multiply(X0,add(additive_inverse(X1),additive_inverse(X2)))
    | ~ spl0_11
    | ~ spl0_18 ),
    inference(superposition,[],[f316,f87]) ).

fof(f1237,plain,
    ( spl0_38
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f313,f237,f86,f82,f78,f1235]) ).

fof(f1235,plain,
    ( spl0_38
  <=> ! [X2,X0,X1] : multiply(add(X2,additive_inverse(X0)),additive_inverse(X1)) = multiply(add(additive_inverse(X2),X0),X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f313,plain,
    ( ! [X2,X0,X1] : multiply(add(X2,additive_inverse(X0)),additive_inverse(X1)) = multiply(add(additive_inverse(X2),X0),X1)
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f312,f285]) ).

fof(f312,plain,
    ( ! [X2,X0,X1] : multiply(add(X2,additive_inverse(X0)),additive_inverse(X1)) = add(additive_inverse(multiply(X2,X1)),multiply(X0,X1))
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f291,f87]) ).

fof(f291,plain,
    ( ! [X2,X0,X1] : multiply(add(X2,additive_inverse(X0)),additive_inverse(X1)) = add(multiply(X2,additive_inverse(X1)),multiply(X0,X1))
    | ~ spl0_9
    | ~ spl0_17 ),
    inference(superposition,[],[f238,f79]) ).

fof(f1233,plain,
    ( spl0_37
    | ~ spl0_8
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f628,f603,f62,f1231]) ).

fof(f628,plain,
    ( ! [X0,X1] : add(additive_inverse(X0),add(X1,X0)) = X1
    | ~ spl0_8
    | ~ spl0_25 ),
    inference(superposition,[],[f604,f63]) ).

fof(f1229,plain,
    ( spl0_36
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f306,f237,f86,f78,f1227]) ).

fof(f1227,plain,
    ( spl0_36
  <=> ! [X2,X0,X1] : multiply(add(additive_inverse(X0),X2),additive_inverse(X1)) = multiply(add(X0,additive_inverse(X2)),X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f306,plain,
    ( ! [X2,X0,X1] : multiply(add(additive_inverse(X0),X2),additive_inverse(X1)) = multiply(add(X0,additive_inverse(X2)),X1)
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f305,f20]) ).

fof(f20,axiom,
    ! [X2,X0,X1] : multiply(add(X0,additive_inverse(X1)),X2) = add(multiply(X0,X2),additive_inverse(multiply(X1,X2))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity_of_difference2) ).

fof(f305,plain,
    ( ! [X2,X0,X1] : multiply(add(additive_inverse(X0),X2),additive_inverse(X1)) = add(multiply(X0,X1),additive_inverse(multiply(X2,X1)))
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f284,f87]) ).

fof(f284,plain,
    ( ! [X2,X0,X1] : multiply(add(additive_inverse(X0),X2),additive_inverse(X1)) = add(multiply(X0,X1),multiply(X2,additive_inverse(X1)))
    | ~ spl0_9
    | ~ spl0_17 ),
    inference(superposition,[],[f238,f79]) ).

fof(f1225,plain,
    ( spl0_35
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f276,f233,f86,f82,f78,f1223]) ).

fof(f276,plain,
    ( ! [X2,X0,X1] : additive_inverse(multiply(X0,add(X2,additive_inverse(X1)))) = multiply(X0,add(additive_inverse(X2),X1))
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f275,f241]) ).

fof(f275,plain,
    ( ! [X2,X0,X1] : add(additive_inverse(multiply(X0,X2)),multiply(X0,X1)) = additive_inverse(multiply(X0,add(X2,additive_inverse(X1))))
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f274,f83]) ).

fof(f274,plain,
    ( ! [X2,X0,X1] : add(additive_inverse(multiply(X0,X2)),multiply(X0,X1)) = multiply(additive_inverse(X0),add(X2,additive_inverse(X1)))
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f252,f83]) ).

fof(f252,plain,
    ( ! [X2,X0,X1] : multiply(additive_inverse(X0),add(X2,additive_inverse(X1))) = add(multiply(additive_inverse(X0),X2),multiply(X0,X1))
    | ~ spl0_9
    | ~ spl0_16 ),
    inference(superposition,[],[f234,f79]) ).

fof(f1221,plain,
    ( spl0_34
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f266,f233,f82,f78,f1219]) ).

fof(f1219,plain,
    ( spl0_34
  <=> ! [X2,X0,X1] : multiply(X0,add(X1,additive_inverse(X2))) = additive_inverse(multiply(X0,add(additive_inverse(X1),X2))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f266,plain,
    ( ! [X2,X0,X1] : multiply(X0,add(X1,additive_inverse(X2))) = additive_inverse(multiply(X0,add(additive_inverse(X1),X2)))
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f265,f19]) ).

fof(f19,axiom,
    ! [X2,X0,X1] : multiply(X0,add(X1,additive_inverse(X2))) = add(multiply(X0,X1),additive_inverse(multiply(X0,X2))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity_of_difference1) ).

fof(f265,plain,
    ( ! [X2,X0,X1] : add(multiply(X0,X1),additive_inverse(multiply(X0,X2))) = additive_inverse(multiply(X0,add(additive_inverse(X1),X2)))
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f264,f83]) ).

fof(f264,plain,
    ( ! [X2,X0,X1] : add(multiply(X0,X1),additive_inverse(multiply(X0,X2))) = multiply(additive_inverse(X0),add(additive_inverse(X1),X2))
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f245,f83]) ).

fof(f245,plain,
    ( ! [X2,X0,X1] : multiply(additive_inverse(X0),add(additive_inverse(X1),X2)) = add(multiply(X0,X1),multiply(additive_inverse(X0),X2))
    | ~ spl0_9
    | ~ spl0_16 ),
    inference(superposition,[],[f234,f79]) ).

fof(f1012,plain,
    ( spl0_33
    | ~ spl0_20
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f530,f455,f451,f1010]) ).

fof(f1010,plain,
    ( spl0_33
  <=> ! [X0,X1] : additive_inverse(multiply(X0,add(X1,X1))) = additive_inverse(multiply(add(X0,X0),X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f530,plain,
    ( ! [X0,X1] : additive_inverse(multiply(X0,add(X1,X1))) = additive_inverse(multiply(add(X0,X0),X1))
    | ~ spl0_20
    | ~ spl0_21 ),
    inference(superposition,[],[f456,f452]) ).

fof(f1008,plain,
    ( spl0_32
    | ~ spl0_8
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f294,f237,f62,f1006]) ).

fof(f1006,plain,
    ( spl0_32
  <=> ! [X2,X0,X1] : multiply(add(X0,X2),X1) = add(multiply(X2,X1),multiply(X0,X1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f294,plain,
    ( ! [X2,X0,X1] : multiply(add(X0,X2),X1) = add(multiply(X2,X1),multiply(X0,X1))
    | ~ spl0_8
    | ~ spl0_17 ),
    inference(superposition,[],[f238,f63]) ).

fof(f1004,plain,
    ( spl0_31
    | ~ spl0_8
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f254,f233,f62,f1002]) ).

fof(f254,plain,
    ( ! [X2,X0,X1] : multiply(X0,add(X1,X2)) = add(multiply(X0,X2),multiply(X0,X1))
    | ~ spl0_8
    | ~ spl0_16 ),
    inference(superposition,[],[f234,f63]) ).

fof(f920,plain,
    ( spl0_30
    | ~ spl0_8
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f611,f599,f62,f918]) ).

fof(f611,plain,
    ( ! [X0,X1] : add(X0,add(X1,additive_inverse(X0))) = X1
    | ~ spl0_8
    | ~ spl0_24 ),
    inference(superposition,[],[f600,f63]) ).

fof(f735,plain,
    ( spl0_29
    | ~ spl0_16
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f293,f237,f233,f733]) ).

fof(f733,plain,
    ( spl0_29
  <=> ! [X0,X1] : multiply(X0,add(X1,X1)) = multiply(add(X0,X0),X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f293,plain,
    ( ! [X0,X1] : multiply(X0,add(X1,X1)) = multiply(add(X0,X0),X1)
    | ~ spl0_16
    | ~ spl0_17 ),
    inference(superposition,[],[f238,f234]) ).

fof(f731,plain,
    ( spl0_28
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f147,f122,f62,f729]) ).

fof(f147,plain,
    ( ! [X2,X0,X1] : add(X0,add(X1,X2)) = add(X2,add(X0,X1))
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(superposition,[],[f123,f63]) ).

fof(f727,plain,
    ( spl0_27
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f140,f122,f62,f725]) ).

fof(f140,plain,
    ( ! [X2,X0,X1] : add(X0,add(X1,X2)) = add(add(X1,X0),X2)
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(superposition,[],[f123,f63]) ).

fof(f652,plain,
    ( spl0_26
    | ~ spl0_7
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f146,f122,f52,f650]) ).

fof(f146,plain,
    ( ! [X0,X1] : additive_identity = add(X0,add(X1,additive_inverse(add(X0,X1))))
    | ~ spl0_7
    | ~ spl0_12 ),
    inference(superposition,[],[f123,f53]) ).

fof(f605,plain,
    ( spl0_25
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f156,f122,f48,f28,f603]) ).

fof(f48,plain,
    ( spl0_6
  <=> ! [X0] : additive_identity = add(additive_inverse(X0),X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f156,plain,
    ( ! [X0,X1] : add(additive_inverse(X0),add(X0,X1)) = X1
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f144,f29]) ).

fof(f144,plain,
    ( ! [X0,X1] : add(additive_identity,X1) = add(additive_inverse(X0),add(X0,X1))
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(superposition,[],[f123,f49]) ).

fof(f49,plain,
    ( ! [X0] : additive_identity = add(additive_inverse(X0),X0)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f48]) ).

fof(f601,plain,
    ( spl0_24
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f153,f122,f52,f28,f599]) ).

fof(f153,plain,
    ( ! [X0,X1] : add(X0,add(additive_inverse(X0),X1)) = X1
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f139,f29]) ).

fof(f139,plain,
    ( ! [X0,X1] : add(additive_identity,X1) = add(X0,add(additive_inverse(X0),X1))
    | ~ spl0_7
    | ~ spl0_12 ),
    inference(superposition,[],[f123,f53]) ).

fof(f594,plain,
    ( ~ spl0_23
    | ~ spl0_8
    | ~ spl0_12
    | spl0_22 ),
    inference(avatar_split_clause,[],[f589,f571,f122,f62,f591]) ).

fof(f571,plain,
    ( spl0_22
  <=> additive_identity = add(add(add(multiply(multiply(multiply(a,b),c),d),additive_inverse(multiply(multiply(a,b),multiply(c,d)))),add(multiply(multiply(a,b),multiply(c,d)),additive_inverse(multiply(a,multiply(b,multiply(c,d)))))),additive_inverse(add(add(add(multiply(multiply(a,multiply(b,c)),d),additive_inverse(multiply(a,multiply(multiply(b,c),d)))),multiply(a,add(multiply(multiply(b,c),d),additive_inverse(multiply(b,multiply(c,d)))))),multiply(add(multiply(multiply(a,b),c),additive_inverse(multiply(a,multiply(b,c)))),d)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f589,plain,
    ( additive_identity != add(add(multiply(multiply(a,b),multiply(c,d)),add(multiply(multiply(multiply(a,b),c),d),add(additive_inverse(multiply(a,multiply(b,multiply(c,d)))),additive_inverse(multiply(multiply(a,b),multiply(c,d)))))),additive_inverse(add(multiply(multiply(a,multiply(b,c)),d),add(additive_inverse(multiply(a,multiply(multiply(b,c),d))),add(multiply(a,add(multiply(multiply(b,c),d),additive_inverse(multiply(b,multiply(c,d))))),multiply(add(multiply(multiply(a,b),c),additive_inverse(multiply(a,multiply(b,c)))),d))))))
    | ~ spl0_8
    | ~ spl0_12
    | spl0_22 ),
    inference(forward_demodulation,[],[f588,f63]) ).

fof(f588,plain,
    ( additive_identity != add(add(multiply(multiply(a,b),multiply(c,d)),add(add(additive_inverse(multiply(a,multiply(b,multiply(c,d)))),additive_inverse(multiply(multiply(a,b),multiply(c,d)))),multiply(multiply(multiply(a,b),c),d))),additive_inverse(add(multiply(multiply(a,multiply(b,c)),d),add(additive_inverse(multiply(a,multiply(multiply(b,c),d))),add(multiply(a,add(multiply(multiply(b,c),d),additive_inverse(multiply(b,multiply(c,d))))),multiply(add(multiply(multiply(a,b),c),additive_inverse(multiply(a,multiply(b,c)))),d))))))
    | ~ spl0_8
    | ~ spl0_12
    | spl0_22 ),
    inference(forward_demodulation,[],[f587,f147]) ).

fof(f587,plain,
    ( additive_identity != add(add(multiply(multiply(multiply(a,b),c),d),add(multiply(multiply(a,b),multiply(c,d)),add(additive_inverse(multiply(a,multiply(b,multiply(c,d)))),additive_inverse(multiply(multiply(a,b),multiply(c,d)))))),additive_inverse(add(multiply(multiply(a,multiply(b,c)),d),add(additive_inverse(multiply(a,multiply(multiply(b,c),d))),add(multiply(a,add(multiply(multiply(b,c),d),additive_inverse(multiply(b,multiply(c,d))))),multiply(add(multiply(multiply(a,b),c),additive_inverse(multiply(a,multiply(b,c)))),d))))))
    | ~ spl0_8
    | ~ spl0_12
    | spl0_22 ),
    inference(forward_demodulation,[],[f586,f147]) ).

fof(f586,plain,
    ( additive_identity != add(add(multiply(multiply(multiply(a,b),c),d),add(additive_inverse(multiply(a,multiply(b,multiply(c,d)))),add(additive_inverse(multiply(multiply(a,b),multiply(c,d))),multiply(multiply(a,b),multiply(c,d))))),additive_inverse(add(multiply(multiply(a,multiply(b,c)),d),add(additive_inverse(multiply(a,multiply(multiply(b,c),d))),add(multiply(a,add(multiply(multiply(b,c),d),additive_inverse(multiply(b,multiply(c,d))))),multiply(add(multiply(multiply(a,b),c),additive_inverse(multiply(a,multiply(b,c)))),d))))))
    | ~ spl0_8
    | ~ spl0_12
    | spl0_22 ),
    inference(forward_demodulation,[],[f585,f147]) ).

fof(f585,plain,
    ( additive_identity != add(add(multiply(multiply(multiply(a,b),c),d),add(additive_inverse(multiply(multiply(a,b),multiply(c,d))),add(multiply(multiply(a,b),multiply(c,d)),additive_inverse(multiply(a,multiply(b,multiply(c,d))))))),additive_inverse(add(multiply(multiply(a,multiply(b,c)),d),add(additive_inverse(multiply(a,multiply(multiply(b,c),d))),add(multiply(a,add(multiply(multiply(b,c),d),additive_inverse(multiply(b,multiply(c,d))))),multiply(add(multiply(multiply(a,b),c),additive_inverse(multiply(a,multiply(b,c)))),d))))))
    | ~ spl0_8
    | ~ spl0_12
    | spl0_22 ),
    inference(forward_demodulation,[],[f584,f147]) ).

fof(f584,plain,
    ( additive_identity != add(add(additive_inverse(multiply(multiply(a,b),multiply(c,d))),add(add(multiply(multiply(a,b),multiply(c,d)),additive_inverse(multiply(a,multiply(b,multiply(c,d))))),multiply(multiply(multiply(a,b),c),d))),additive_inverse(add(multiply(multiply(a,multiply(b,c)),d),add(additive_inverse(multiply(a,multiply(multiply(b,c),d))),add(multiply(a,add(multiply(multiply(b,c),d),additive_inverse(multiply(b,multiply(c,d))))),multiply(add(multiply(multiply(a,b),c),additive_inverse(multiply(a,multiply(b,c)))),d))))))
    | ~ spl0_8
    | ~ spl0_12
    | spl0_22 ),
    inference(forward_demodulation,[],[f583,f147]) ).

fof(f583,plain,
    ( additive_identity != add(add(add(multiply(multiply(a,b),multiply(c,d)),additive_inverse(multiply(a,multiply(b,multiply(c,d))))),add(multiply(multiply(multiply(a,b),c),d),additive_inverse(multiply(multiply(a,b),multiply(c,d))))),additive_inverse(add(multiply(multiply(a,multiply(b,c)),d),add(additive_inverse(multiply(a,multiply(multiply(b,c),d))),add(multiply(a,add(multiply(multiply(b,c),d),additive_inverse(multiply(b,multiply(c,d))))),multiply(add(multiply(multiply(a,b),c),additive_inverse(multiply(a,multiply(b,c)))),d))))))
    | ~ spl0_8
    | ~ spl0_12
    | spl0_22 ),
    inference(forward_demodulation,[],[f582,f63]) ).

fof(f582,plain,
    ( additive_identity != add(add(add(multiply(multiply(multiply(a,b),c),d),additive_inverse(multiply(multiply(a,b),multiply(c,d)))),add(multiply(multiply(a,b),multiply(c,d)),additive_inverse(multiply(a,multiply(b,multiply(c,d)))))),additive_inverse(add(multiply(multiply(a,multiply(b,c)),d),add(additive_inverse(multiply(a,multiply(multiply(b,c),d))),add(multiply(a,add(multiply(multiply(b,c),d),additive_inverse(multiply(b,multiply(c,d))))),multiply(add(multiply(multiply(a,b),c),additive_inverse(multiply(a,multiply(b,c)))),d))))))
    | ~ spl0_8
    | ~ spl0_12
    | spl0_22 ),
    inference(forward_demodulation,[],[f581,f63]) ).

fof(f581,plain,
    ( additive_identity != add(add(add(multiply(multiply(multiply(a,b),c),d),additive_inverse(multiply(multiply(a,b),multiply(c,d)))),add(multiply(multiply(a,b),multiply(c,d)),additive_inverse(multiply(a,multiply(b,multiply(c,d)))))),additive_inverse(add(multiply(multiply(a,multiply(b,c)),d),add(add(multiply(a,add(multiply(multiply(b,c),d),additive_inverse(multiply(b,multiply(c,d))))),multiply(add(multiply(multiply(a,b),c),additive_inverse(multiply(a,multiply(b,c)))),d)),additive_inverse(multiply(a,multiply(multiply(b,c),d)))))))
    | ~ spl0_8
    | ~ spl0_12
    | spl0_22 ),
    inference(forward_demodulation,[],[f580,f147]) ).

fof(f580,plain,
    ( additive_identity != add(add(add(multiply(multiply(multiply(a,b),c),d),additive_inverse(multiply(multiply(a,b),multiply(c,d)))),add(multiply(multiply(a,b),multiply(c,d)),additive_inverse(multiply(a,multiply(b,multiply(c,d)))))),additive_inverse(add(additive_inverse(multiply(a,multiply(multiply(b,c),d))),add(multiply(multiply(a,multiply(b,c)),d),add(multiply(a,add(multiply(multiply(b,c),d),additive_inverse(multiply(b,multiply(c,d))))),multiply(add(multiply(multiply(a,b),c),additive_inverse(multiply(a,multiply(b,c)))),d))))))
    | ~ spl0_8
    | ~ spl0_12
    | spl0_22 ),
    inference(forward_demodulation,[],[f579,f147]) ).

fof(f579,plain,
    ( additive_identity != add(add(add(multiply(multiply(multiply(a,b),c),d),additive_inverse(multiply(multiply(a,b),multiply(c,d)))),add(multiply(multiply(a,b),multiply(c,d)),additive_inverse(multiply(a,multiply(b,multiply(c,d)))))),additive_inverse(add(additive_inverse(multiply(a,multiply(multiply(b,c),d))),add(multiply(a,add(multiply(multiply(b,c),d),additive_inverse(multiply(b,multiply(c,d))))),add(multiply(add(multiply(multiply(a,b),c),additive_inverse(multiply(a,multiply(b,c)))),d),multiply(multiply(a,multiply(b,c)),d))))))
    | ~ spl0_8
    | ~ spl0_12
    | spl0_22 ),
    inference(forward_demodulation,[],[f578,f63]) ).

fof(f578,plain,
    ( additive_identity != add(add(add(multiply(multiply(multiply(a,b),c),d),additive_inverse(multiply(multiply(a,b),multiply(c,d)))),add(multiply(multiply(a,b),multiply(c,d)),additive_inverse(multiply(a,multiply(b,multiply(c,d)))))),additive_inverse(add(additive_inverse(multiply(a,multiply(multiply(b,c),d))),add(add(multiply(add(multiply(multiply(a,b),c),additive_inverse(multiply(a,multiply(b,c)))),d),multiply(multiply(a,multiply(b,c)),d)),multiply(a,add(multiply(multiply(b,c),d),additive_inverse(multiply(b,multiply(c,d)))))))))
    | ~ spl0_8
    | ~ spl0_12
    | spl0_22 ),
    inference(forward_demodulation,[],[f577,f147]) ).

fof(f577,plain,
    ( additive_identity != add(add(add(multiply(multiply(multiply(a,b),c),d),additive_inverse(multiply(multiply(a,b),multiply(c,d)))),add(multiply(multiply(a,b),multiply(c,d)),additive_inverse(multiply(a,multiply(b,multiply(c,d)))))),additive_inverse(add(multiply(a,add(multiply(multiply(b,c),d),additive_inverse(multiply(b,multiply(c,d))))),add(additive_inverse(multiply(a,multiply(multiply(b,c),d))),add(multiply(add(multiply(multiply(a,b),c),additive_inverse(multiply(a,multiply(b,c)))),d),multiply(multiply(a,multiply(b,c)),d))))))
    | ~ spl0_8
    | ~ spl0_12
    | spl0_22 ),
    inference(forward_demodulation,[],[f576,f147]) ).

fof(f576,plain,
    ( additive_identity != add(add(add(multiply(multiply(multiply(a,b),c),d),additive_inverse(multiply(multiply(a,b),multiply(c,d)))),add(multiply(multiply(a,b),multiply(c,d)),additive_inverse(multiply(a,multiply(b,multiply(c,d)))))),additive_inverse(add(multiply(a,add(multiply(multiply(b,c),d),additive_inverse(multiply(b,multiply(c,d))))),add(multiply(add(multiply(multiply(a,b),c),additive_inverse(multiply(a,multiply(b,c)))),d),add(multiply(multiply(a,multiply(b,c)),d),additive_inverse(multiply(a,multiply(multiply(b,c),d))))))))
    | ~ spl0_8
    | ~ spl0_12
    | spl0_22 ),
    inference(forward_demodulation,[],[f575,f147]) ).

fof(f575,plain,
    ( additive_identity != add(add(add(multiply(multiply(multiply(a,b),c),d),additive_inverse(multiply(multiply(a,b),multiply(c,d)))),add(multiply(multiply(a,b),multiply(c,d)),additive_inverse(multiply(a,multiply(b,multiply(c,d)))))),additive_inverse(add(multiply(add(multiply(multiply(a,b),c),additive_inverse(multiply(a,multiply(b,c)))),d),add(add(multiply(multiply(a,multiply(b,c)),d),additive_inverse(multiply(a,multiply(multiply(b,c),d)))),multiply(a,add(multiply(multiply(b,c),d),additive_inverse(multiply(b,multiply(c,d)))))))))
    | ~ spl0_8
    | spl0_22 ),
    inference(forward_demodulation,[],[f573,f63]) ).

fof(f573,plain,
    ( additive_identity != add(add(add(multiply(multiply(multiply(a,b),c),d),additive_inverse(multiply(multiply(a,b),multiply(c,d)))),add(multiply(multiply(a,b),multiply(c,d)),additive_inverse(multiply(a,multiply(b,multiply(c,d)))))),additive_inverse(add(add(add(multiply(multiply(a,multiply(b,c)),d),additive_inverse(multiply(a,multiply(multiply(b,c),d)))),multiply(a,add(multiply(multiply(b,c),d),additive_inverse(multiply(b,multiply(c,d)))))),multiply(add(multiply(multiply(a,b),c),additive_inverse(multiply(a,multiply(b,c)))),d))))
    | spl0_22 ),
    inference(avatar_component_clause,[],[f571]) ).

fof(f574,plain,
    ~ spl0_22,
    inference(avatar_split_clause,[],[f24,f571]) ).

fof(f24,plain,
    additive_identity != add(add(add(multiply(multiply(multiply(a,b),c),d),additive_inverse(multiply(multiply(a,b),multiply(c,d)))),add(multiply(multiply(a,b),multiply(c,d)),additive_inverse(multiply(a,multiply(b,multiply(c,d)))))),additive_inverse(add(add(add(multiply(multiply(a,multiply(b,c)),d),additive_inverse(multiply(a,multiply(multiply(b,c),d)))),multiply(a,add(multiply(multiply(b,c),d),additive_inverse(multiply(b,multiply(c,d)))))),multiply(add(multiply(multiply(a,b),c),additive_inverse(multiply(a,multiply(b,c)))),d)))),
    inference(definition_unfolding,[],[f23,f14,f14,f14,f14,f14]) ).

fof(f14,axiom,
    ! [X2,X0,X1] : associator(X0,X1,X2) = add(multiply(multiply(X0,X1),X2),additive_inverse(multiply(X0,multiply(X1,X2)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associator) ).

fof(f23,axiom,
    additive_identity != add(add(associator(multiply(a,b),c,d),associator(a,b,multiply(c,d))),additive_inverse(add(add(associator(a,multiply(b,c),d),multiply(a,associator(b,c,d))),multiply(associator(a,b,c),d)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_teichmuller_identity) ).

fof(f457,plain,
    spl0_21,
    inference(avatar_split_clause,[],[f26,f455]) ).

fof(f453,plain,
    spl0_20,
    inference(avatar_split_clause,[],[f25,f451]) ).

fof(f332,plain,
    spl0_19,
    inference(avatar_split_clause,[],[f20,f330]) ).

fof(f317,plain,
    spl0_18,
    inference(avatar_split_clause,[],[f19,f315]) ).

fof(f239,plain,
    spl0_17,
    inference(avatar_split_clause,[],[f9,f237]) ).

fof(f9,axiom,
    ! [X2,X0,X1] : multiply(add(X0,X1),X2) = add(multiply(X0,X2),multiply(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distribute2) ).

fof(f235,plain,
    spl0_16,
    inference(avatar_split_clause,[],[f8,f233]) ).

fof(f8,axiom,
    ! [X2,X0,X1] : multiply(X0,add(X1,X2)) = add(multiply(X0,X1),multiply(X0,X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distribute1) ).

fof(f137,plain,
    spl0_15,
    inference(avatar_split_clause,[],[f13,f135]) ).

fof(f13,axiom,
    ! [X0,X1] : multiply(multiply(X0,X0),X1) = multiply(X0,multiply(X0,X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_alternative) ).

fof(f133,plain,
    spl0_14,
    inference(avatar_split_clause,[],[f12,f131]) ).

fof(f12,axiom,
    ! [X0,X1] : multiply(multiply(X0,X1),X1) = multiply(X0,multiply(X1,X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_alternative) ).

fof(f129,plain,
    ( spl0_13
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f56,f48,f32,f126]) ).

fof(f126,plain,
    ( spl0_13
  <=> additive_identity = additive_inverse(additive_identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f56,plain,
    ( additive_identity = additive_inverse(additive_identity)
    | ~ spl0_2
    | ~ spl0_6 ),
    inference(superposition,[],[f49,f33]) ).

fof(f124,plain,
    spl0_12,
    inference(avatar_split_clause,[],[f11,f122]) ).

fof(f11,axiom,
    ! [X2,X0,X1] : add(X0,add(X1,X2)) = add(add(X0,X1),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_for_addition) ).

fof(f88,plain,
    spl0_11,
    inference(avatar_split_clause,[],[f18,f86]) ).

fof(f84,plain,
    spl0_10,
    inference(avatar_split_clause,[],[f17,f82]) ).

fof(f80,plain,
    spl0_9,
    inference(avatar_split_clause,[],[f16,f78]) ).

fof(f16,axiom,
    ! [X0,X1] : multiply(X0,X1) = multiply(additive_inverse(X0),additive_inverse(X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_of_inverses) ).

fof(f64,plain,
    spl0_8,
    inference(avatar_split_clause,[],[f10,f62]) ).

fof(f10,axiom,
    ! [X0,X1] : add(X0,X1) = add(X1,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_for_addition) ).

fof(f54,plain,
    spl0_7,
    inference(avatar_split_clause,[],[f6,f52]) ).

fof(f6,axiom,
    ! [X0] : additive_identity = add(X0,additive_inverse(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_additive_inverse) ).

fof(f50,plain,
    spl0_6,
    inference(avatar_split_clause,[],[f5,f48]) ).

fof(f5,axiom,
    ! [X0] : additive_identity = add(additive_inverse(X0),X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_additive_inverse) ).

fof(f46,plain,
    spl0_5,
    inference(avatar_split_clause,[],[f7,f44]) ).

fof(f7,axiom,
    ! [X0] : additive_inverse(additive_inverse(X0)) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_inverse_additive_inverse) ).

fof(f42,plain,
    spl0_4,
    inference(avatar_split_clause,[],[f4,f40]) ).

fof(f4,axiom,
    ! [X0] : additive_identity = multiply(X0,additive_identity),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_multiplicative_zero) ).

fof(f38,plain,
    spl0_3,
    inference(avatar_split_clause,[],[f3,f36]) ).

fof(f36,plain,
    ( spl0_3
  <=> ! [X0] : additive_identity = multiply(additive_identity,X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f3,axiom,
    ! [X0] : additive_identity = multiply(additive_identity,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_multiplicative_zero) ).

fof(f34,plain,
    spl0_2,
    inference(avatar_split_clause,[],[f2,f32]) ).

fof(f2,axiom,
    ! [X0] : add(X0,additive_identity) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_additive_identity) ).

fof(f30,plain,
    spl0_1,
    inference(avatar_split_clause,[],[f1,f28]) ).

fof(f1,axiom,
    ! [X0] : add(additive_identity,X0) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_additive_identity) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10  % Problem    : RNG026-7 : TPTP v8.2.0. Released v1.0.0.
% 0.06/0.11  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.30  % Computer : n014.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit   : 300
% 0.10/0.30  % WCLimit    : 300
% 0.10/0.30  % DateTime   : Sat May 18 12:02:38 EDT 2024
% 0.10/0.30  % CPUTime    : 
% 0.10/0.30  % (28099)Running in auto input_syntax mode. Trying TPTP
% 0.10/0.31  % (28101)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.10/0.32  % (28103)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.10/0.32  TRYING [1]
% 0.10/0.32  % (28100)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.10/0.32  TRYING [2]
% 0.10/0.32  % (28102)WARNING: value z3 for option sas not known
% 0.14/0.32  % (28104)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.32  % (28105)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.32  % (28102)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.32  % (28106)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.32  TRYING [3]
% 0.14/0.33  TRYING [1]
% 0.14/0.33  TRYING [2]
% 0.14/0.34  TRYING [4]
% 0.14/0.35  TRYING [3]
% 0.14/0.44  TRYING [4]
% 1.63/0.54  TRYING [5]
% 1.81/0.59  % (28104)First to succeed.
% 1.81/0.60  % (28104)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-28099"
% 1.81/0.60  % (28104)Refutation found. Thanks to Tanya!
% 1.81/0.60  % SZS status Unsatisfiable for theBenchmark
% 1.81/0.60  % SZS output start Proof for theBenchmark
% See solution above
% 1.81/0.60  % (28104)------------------------------
% 1.81/0.60  % (28104)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.81/0.60  % (28104)Termination reason: Refutation
% 1.81/0.60  
% 1.81/0.60  % (28104)Memory used [KB]: 6083
% 1.81/0.60  % (28104)Time elapsed: 0.281 s
% 1.81/0.60  % (28104)Instructions burned: 663 (million)
% 1.81/0.60  % (28099)Success in time 0.296 s
%------------------------------------------------------------------------------