%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : RNG029-6 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s

% Computer : n005.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 : Thu Aug 31 13:59:44 EDT 2023

% Result   : Unsatisfiable 188.10s 27.34s
% Output   : Refutation 188.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   93
%            Number of leaves      :   16
% Syntax   : Number of formulae    :  338 ( 338 unt;   0 def)
%            Number of atoms       :  338 ( 337 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :   63 (  63   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :   11 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   4 con; 0-3 aty)
%            Number of variables   :  807 (; 807   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f331354,plain,
    $false,
    inference(trivial_inequality_removal,[],[f331353]) ).

fof(f331353,plain,
    add(associator(x,multiply(additive_inverse(x),y),z),add(associator(x,multiply(y,x),z),add(associator(x,multiply(y,additive_inverse(x)),z),add(associator(multiply(x,x),y,z),multiply(x,multiply(y,multiply(z,x))))))) != add(associator(x,multiply(additive_inverse(x),y),z),add(associator(x,multiply(y,x),z),add(associator(x,multiply(y,additive_inverse(x)),z),add(associator(multiply(x,x),y,z),multiply(x,multiply(y,multiply(z,x))))))),
    inference(backward_demodulation,[],[f252553,f331352]) ).

fof(f331352,plain,
    ! [X584,X581,X583,X580,X582] : add(associator(X582,multiply(X580,X581),X583),add(associator(X582,multiply(X580,additive_inverse(X581)),X583),X584)) = X584,
    inference(forward_demodulation,[],[f331351,f331334]) ).

fof(f331334,plain,
    ! [X202,X200,X201,X199] : add(associator(X200,X199,X201),add(associator(X200,additive_inverse(X199),X201),X202)) = X202,
    inference(forward_demodulation,[],[f331333,f1]) ).

fof(f1,axiom,
    ! [X0] : add(additive_identity,X0) = X0,
    file('/export/starexec/sandbox2/tmp/tmp.29fFe037XW/Vampire---4.8_20557',left_additive_identity) ).

fof(f331333,plain,
    ! [X202,X200,X201,X199] : add(associator(X200,X199,X201),add(associator(X200,additive_inverse(X199),X201),X202)) = add(additive_identity,X202),
    inference(forward_demodulation,[],[f330980,f3453]) ).

fof(f3453,plain,
    ! [X0,X1] : additive_identity = associator(X0,additive_identity,X1),
    inference(forward_demodulation,[],[f3452,f19]) ).

fof(f19,plain,
    additive_identity = additive_inverse(additive_identity),
    inference(superposition,[],[f5,f2]) ).

fof(f2,axiom,
    ! [X0] : add(X0,additive_identity) = X0,
    file('/export/starexec/sandbox2/tmp/tmp.29fFe037XW/Vampire---4.8_20557',right_additive_identity) ).

fof(f5,axiom,
    ! [X0] : additive_identity = add(additive_inverse(X0),X0),
    file('/export/starexec/sandbox2/tmp/tmp.29fFe037XW/Vampire---4.8_20557',left_additive_inverse) ).

fof(f3452,plain,
    ! [X0,X1] : additive_inverse(additive_identity) = associator(X0,additive_identity,X1),
    inference(forward_demodulation,[],[f3451,f4]) ).

fof(f4,axiom,
    ! [X0] : additive_identity = multiply(X0,additive_identity),
    file('/export/starexec/sandbox2/tmp/tmp.29fFe037XW/Vampire---4.8_20557',right_multiplicative_zero) ).

fof(f3451,plain,
    ! [X0,X1] : additive_inverse(multiply(X0,additive_identity)) = associator(X0,additive_identity,X1),
    inference(forward_demodulation,[],[f3450,f1]) ).

fof(f3450,plain,
    ! [X0,X1] : add(additive_identity,additive_inverse(multiply(X0,additive_identity))) = associator(X0,additive_identity,X1),
    inference(forward_demodulation,[],[f3407,f3]) ).

fof(f3,axiom,
    ! [X0] : additive_identity = multiply(additive_identity,X0),
    file('/export/starexec/sandbox2/tmp/tmp.29fFe037XW/Vampire---4.8_20557',left_multiplicative_zero) ).

fof(f3407,plain,
    ! [X0,X1] : associator(X0,additive_identity,X1) = add(multiply(additive_identity,X1),additive_inverse(multiply(X0,multiply(additive_identity,X1)))),
    inference(superposition,[],[f14,f4]) ).

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/tmp/tmp.29fFe037XW/Vampire---4.8_20557',associator) ).

fof(f330980,plain,
    ! [X202,X200,X201,X199] : add(associator(X200,X199,X201),add(associator(X200,additive_inverse(X199),X201),X202)) = add(associator(X200,additive_identity,X201),X202),
    inference(superposition,[],[f15670,f6]) ).

fof(f6,axiom,
    ! [X0] : additive_identity = add(X0,additive_inverse(X0)),
    file('/export/starexec/sandbox2/tmp/tmp.29fFe037XW/Vampire---4.8_20557',right_additive_inverse) ).

fof(f15670,plain,
    ! [X31,X34,X32,X30,X33] : add(associator(X30,X31,X32),add(associator(X30,X33,X32),X34)) = add(associator(X30,add(X31,X33),X32),X34),
    inference(superposition,[],[f11,f3602]) ).

fof(f3602,plain,
    ! [X2,X3,X4,X5] : associator(X2,add(X3,X4),X5) = add(associator(X2,X3,X5),associator(X2,X4,X5)),
    inference(forward_demodulation,[],[f3601,f33]) ).

fof(f33,plain,
    ! [X4,X5] : add(X5,add(X4,additive_inverse(X4))) = X5,
    inference(forward_demodulation,[],[f22,f10]) ).

fof(f10,axiom,
    ! [X0,X1] : add(X0,X1) = add(X1,X0),
    file('/export/starexec/sandbox2/tmp/tmp.29fFe037XW/Vampire---4.8_20557',commutativity_for_addition) ).

fof(f22,plain,
    ! [X4,X5] : add(X5,add(additive_inverse(X4),X4)) = X5,
    inference(superposition,[],[f2,f5]) ).

fof(f3601,plain,
    ! [X2,X3,X4,X5] : associator(X2,add(X3,X4),X5) = add(associator(X2,X3,X5),add(associator(X2,X4,X5),add(multiply(X2,multiply(X4,X5)),additive_inverse(multiply(X2,multiply(X4,X5)))))),
    inference(forward_demodulation,[],[f3600,f11]) ).

fof(f3600,plain,
    ! [X2,X3,X4,X5] : associator(X2,add(X3,X4),X5) = add(associator(X2,X3,X5),add(add(associator(X2,X4,X5),multiply(X2,multiply(X4,X5))),additive_inverse(multiply(X2,multiply(X4,X5))))),
    inference(forward_demodulation,[],[f3599,f3531]) ).

fof(f3531,plain,
    ! [X6,X7,X5] : multiply(multiply(X5,X6),X7) = add(associator(X5,X6,X7),multiply(X5,multiply(X6,X7))),
    inference(forward_demodulation,[],[f3436,f10]) ).

fof(f3436,plain,
    ! [X6,X7,X5] : multiply(multiply(X5,X6),X7) = add(multiply(X5,multiply(X6,X7)),associator(X5,X6,X7)),
    inference(superposition,[],[f107,f14]) ).

fof(f107,plain,
    ! [X3,X4] : add(X3,add(X4,additive_inverse(X3))) = X4,
    inference(forward_demodulation,[],[f99,f11]) ).

fof(f99,plain,
    ! [X3,X4] : add(add(X3,X4),additive_inverse(X3)) = X4,
    inference(superposition,[],[f34,f10]) ).

fof(f34,plain,
    ! [X6,X7] : add(additive_inverse(X6),add(X6,X7)) = X7,
    inference(forward_demodulation,[],[f23,f11]) ).

fof(f23,plain,
    ! [X6,X7] : add(add(additive_inverse(X6),X6),X7) = X7,
    inference(superposition,[],[f1,f5]) ).

fof(f3599,plain,
    ! [X2,X3,X4,X5] : associator(X2,add(X3,X4),X5) = add(associator(X2,X3,X5),add(multiply(multiply(X2,X4),X5),additive_inverse(multiply(X2,multiply(X4,X5))))),
    inference(forward_demodulation,[],[f3598,f301]) ).

fof(f301,plain,
    ! [X36,X34,X35] : add(X34,X35) = add(X36,add(X34,add(X35,additive_inverse(X36)))),
    inference(superposition,[],[f107,f11]) ).

fof(f3598,plain,
    ! [X2,X3,X4,X5] : associator(X2,add(X3,X4),X5) = add(associator(X2,X3,X5),add(multiply(X2,multiply(X3,X5)),add(multiply(multiply(X2,X4),X5),add(additive_inverse(multiply(X2,multiply(X4,X5))),additive_inverse(multiply(X2,multiply(X3,X5))))))),
    inference(forward_demodulation,[],[f3544,f11]) ).

fof(f3544,plain,
    ! [X2,X3,X4,X5] : associator(X2,add(X3,X4),X5) = add(add(associator(X2,X3,X5),multiply(X2,multiply(X3,X5))),add(multiply(multiply(X2,X4),X5),add(additive_inverse(multiply(X2,multiply(X4,X5))),additive_inverse(multiply(X2,multiply(X3,X5)))))),
    inference(backward_demodulation,[],[f3458,f3531]) ).

fof(f3458,plain,
    ! [X2,X3,X4,X5] : associator(X2,add(X3,X4),X5) = add(multiply(multiply(X2,X3),X5),add(multiply(multiply(X2,X4),X5),add(additive_inverse(multiply(X2,multiply(X4,X5))),additive_inverse(multiply(X2,multiply(X3,X5)))))),
    inference(forward_demodulation,[],[f3457,f11]) ).

fof(f3457,plain,
    ! [X2,X3,X4,X5] : associator(X2,add(X3,X4),X5) = add(add(multiply(multiply(X2,X3),X5),multiply(multiply(X2,X4),X5)),add(additive_inverse(multiply(X2,multiply(X4,X5))),additive_inverse(multiply(X2,multiply(X3,X5))))),
    inference(forward_demodulation,[],[f3456,f9]) ).

fof(f9,axiom,
    ! [X2,X0,X1] : multiply(add(X0,X1),X2) = add(multiply(X0,X2),multiply(X1,X2)),
    file('/export/starexec/sandbox2/tmp/tmp.29fFe037XW/Vampire---4.8_20557',distribute2) ).

fof(f3456,plain,
    ! [X2,X3,X4,X5] : associator(X2,add(X3,X4),X5) = add(multiply(add(multiply(X2,X3),multiply(X2,X4)),X5),add(additive_inverse(multiply(X2,multiply(X4,X5))),additive_inverse(multiply(X2,multiply(X3,X5))))),
    inference(forward_demodulation,[],[f3455,f241]) ).

fof(f241,plain,
    ! [X6,X5] : additive_inverse(add(X6,X5)) = add(additive_inverse(X5),additive_inverse(X6)),
    inference(superposition,[],[f34,f156]) ).

fof(f156,plain,
    ! [X12,X13] : additive_inverse(X12) = add(X13,additive_inverse(add(X12,X13))),
    inference(forward_demodulation,[],[f138,f10]) ).

fof(f138,plain,
    ! [X12,X13] : additive_inverse(X12) = add(additive_inverse(add(X12,X13)),X13),
    inference(superposition,[],[f92,f34]) ).

fof(f92,plain,
    ! [X2,X1] : add(additive_inverse(X1),add(X2,X1)) = X2,
    inference(superposition,[],[f34,f10]) ).

fof(f3455,plain,
    ! [X2,X3,X4,X5] : associator(X2,add(X3,X4),X5) = add(multiply(add(multiply(X2,X3),multiply(X2,X4)),X5),additive_inverse(add(multiply(X2,multiply(X3,X5)),multiply(X2,multiply(X4,X5))))),
    inference(forward_demodulation,[],[f3454,f8]) ).

fof(f8,axiom,
    ! [X2,X0,X1] : multiply(X0,add(X1,X2)) = add(multiply(X0,X1),multiply(X0,X2)),
    file('/export/starexec/sandbox2/tmp/tmp.29fFe037XW/Vampire---4.8_20557',distribute1) ).

fof(f3454,plain,
    ! [X2,X3,X4,X5] : associator(X2,add(X3,X4),X5) = add(multiply(add(multiply(X2,X3),multiply(X2,X4)),X5),additive_inverse(multiply(X2,add(multiply(X3,X5),multiply(X4,X5))))),
    inference(forward_demodulation,[],[f3408,f9]) ).

fof(f3408,plain,
    ! [X2,X3,X4,X5] : associator(X2,add(X3,X4),X5) = add(multiply(add(multiply(X2,X3),multiply(X2,X4)),X5),additive_inverse(multiply(X2,multiply(add(X3,X4),X5)))),
    inference(superposition,[],[f14,f8]) ).

fof(f11,axiom,
    ! [X2,X0,X1] : add(X0,add(X1,X2)) = add(add(X0,X1),X2),
    file('/export/starexec/sandbox2/tmp/tmp.29fFe037XW/Vampire---4.8_20557',associativity_for_addition) ).

fof(f331351,plain,
    ! [X584,X581,X583,X580,X582] : add(associator(X582,multiply(X580,X581),X583),add(associator(X582,multiply(X580,additive_inverse(X581)),X583),X584)) = add(associator(X582,X581,X583),add(associator(X582,additive_inverse(X581),X583),X584)),
    inference(forward_demodulation,[],[f330990,f15670]) ).

fof(f330990,plain,
    ! [X584,X581,X583,X580,X582] : add(associator(X582,multiply(X580,X581),X583),add(associator(X582,multiply(X580,additive_inverse(X581)),X583),X584)) = add(associator(X582,add(X581,additive_inverse(X581)),X583),X584),
    inference(superposition,[],[f15670,f29]) ).

fof(f29,plain,
    ! [X0,X1] : add(X0,additive_inverse(X0)) = add(multiply(X1,X0),multiply(X1,additive_inverse(X0))),
    inference(forward_demodulation,[],[f28,f10]) ).

fof(f28,plain,
    ! [X0,X1] : add(additive_inverse(X0),X0) = add(multiply(X1,X0),multiply(X1,additive_inverse(X0))),
    inference(forward_demodulation,[],[f27,f10]) ).

fof(f27,plain,
    ! [X0,X1] : add(additive_inverse(X0),X0) = add(multiply(X1,additive_inverse(X0)),multiply(X1,X0)),
    inference(forward_demodulation,[],[f20,f8]) ).

fof(f20,plain,
    ! [X0,X1] : add(additive_inverse(X0),X0) = multiply(X1,add(additive_inverse(X0),X0)),
    inference(superposition,[],[f4,f5]) ).

fof(f252553,plain,
    add(associator(x,multiply(additive_inverse(x),y),z),add(associator(x,multiply(y,x),z),add(associator(x,multiply(y,additive_inverse(x)),z),add(associator(multiply(x,x),y,z),multiply(x,multiply(y,multiply(z,x))))))) != add(associator(x,multiply(additive_inverse(x),y),z),add(associator(x,multiply(y,x),z),add(associator(x,multiply(y,x),z),add(associator(x,multiply(y,additive_inverse(x)),z),add(associator(x,multiply(y,additive_inverse(x)),z),add(associator(multiply(x,x),y,z),multiply(x,multiply(y,multiply(z,x))))))))),
    inference(forward_demodulation,[],[f252552,f538]) ).

fof(f538,plain,
    ! [X16,X14,X17,X15] : add(X17,add(X15,add(X16,X14))) = add(X15,add(X16,add(X17,X14))),
    inference(forward_demodulation,[],[f457,f11]) ).

fof(f457,plain,
    ! [X16,X14,X17,X15] : add(add(X15,X16),add(X17,X14)) = add(X17,add(X15,add(X16,X14))),
    inference(superposition,[],[f280,f280]) ).

fof(f280,plain,
    ! [X3,X4,X5] : add(X3,add(X4,X5)) = add(X5,add(X3,X4)),
    inference(superposition,[],[f11,f10]) ).

fof(f252552,plain,
    add(associator(x,multiply(additive_inverse(x),y),z),add(associator(x,multiply(y,x),z),add(associator(x,multiply(y,additive_inverse(x)),z),add(associator(multiply(x,x),y,z),multiply(x,multiply(y,multiply(z,x))))))) != add(associator(x,multiply(additive_inverse(x),y),z),add(associator(x,multiply(y,x),z),add(associator(x,multiply(y,additive_inverse(x)),z),add(associator(x,multiply(y,x),z),add(associator(x,multiply(y,additive_inverse(x)),z),add(associator(multiply(x,x),y,z),multiply(x,multiply(y,multiply(z,x))))))))),
    inference(forward_demodulation,[],[f252551,f538]) ).

fof(f252551,plain,
    add(associator(x,multiply(additive_inverse(x),y),z),add(associator(x,multiply(y,x),z),add(associator(x,multiply(y,additive_inverse(x)),z),add(associator(multiply(x,x),y,z),multiply(x,multiply(y,multiply(z,x))))))) != add(associator(x,multiply(additive_inverse(x),y),z),add(associator(x,multiply(y,x),z),add(associator(x,multiply(y,additive_inverse(x)),z),add(associator(x,multiply(y,additive_inverse(x)),z),add(associator(x,multiply(y,x),z),add(associator(multiply(x,x),y,z),multiply(x,multiply(y,multiply(z,x))))))))),
    inference(forward_demodulation,[],[f252550,f7]) ).

fof(f7,axiom,
    ! [X0] : additive_inverse(additive_inverse(X0)) = X0,
    file('/export/starexec/sandbox2/tmp/tmp.29fFe037XW/Vampire---4.8_20557',additive_inverse_additive_inverse) ).

fof(f252550,plain,
    add(associator(x,multiply(additive_inverse(x),y),z),add(associator(x,multiply(y,x),z),add(associator(x,multiply(y,additive_inverse(x)),z),add(associator(multiply(x,x),y,z),multiply(x,multiply(y,multiply(z,x))))))) != add(associator(x,multiply(additive_inverse(x),y),z),add(associator(x,multiply(y,x),z),add(associator(x,multiply(y,additive_inverse(x)),z),add(associator(x,multiply(y,additive_inverse(x)),z),add(associator(x,multiply(y,additive_inverse(additive_inverse(x))),z),add(associator(multiply(x,x),y,z),multiply(x,multiply(y,multiply(z,x))))))))),
    inference(forward_demodulation,[],[f252549,f302]) ).

fof(f302,plain,
    ! [X2,X0,X1] : add(X0,add(X1,X2)) = add(X1,add(X0,X2)),
    inference(forward_demodulation,[],[f266,f11]) ).

fof(f266,plain,
    ! [X2,X0,X1] : add(X0,add(X1,X2)) = add(add(X1,X0),X2),
    inference(superposition,[],[f11,f10]) ).

fof(f252549,plain,
    add(associator(x,multiply(additive_inverse(x),y),z),add(associator(x,multiply(y,x),z),add(associator(x,multiply(y,additive_inverse(x)),z),add(associator(multiply(x,x),y,z),multiply(x,multiply(y,multiply(z,x))))))) != add(associator(x,multiply(y,x),z),add(associator(x,multiply(additive_inverse(x),y),z),add(associator(x,multiply(y,additive_inverse(x)),z),add(associator(x,multiply(y,additive_inverse(x)),z),add(associator(x,multiply(y,additive_inverse(additive_inverse(x))),z),add(associator(multiply(x,x),y,z),multiply(x,multiply(y,multiply(z,x))))))))),
    inference(forward_demodulation,[],[f252548,f538]) ).

fof(f252548,plain,
    add(associator(x,multiply(additive_inverse(x),y),z),add(associator(x,multiply(y,x),z),add(associator(x,multiply(y,additive_inverse(x)),z),add(associator(multiply(x,x),y,z),multiply(x,multiply(y,multiply(z,x))))))) != add(associator(x,multiply(additive_inverse(x),y),z),add(associator(x,multiply(y,additive_inverse(x)),z),add(associator(x,multiply(y,x),z),add(associator(x,multiply(y,additive_inverse(x)),z),add(associator(x,multiply(y,additive_inverse(additive_inverse(x))),z),add(associator(multiply(x,x),y,z),multiply(x,multiply(y,multiply(z,x))))))))),
    inference(forward_demodulation,[],[f252547,f118777]) ).

fof(f118777,plain,
    ! [X101,X104,X102,X105,X103] : add(X102,add(X103,add(X104,add(X101,X105)))) = add(X101,add(X102,add(X103,add(X104,X105)))),
    inference(forward_demodulation,[],[f118776,f11]) ).

fof(f118776,plain,
    ! [X101,X104,X102,X105,X103] : add(X102,add(X103,add(X104,add(X101,X105)))) = add(X101,add(X102,add(add(X103,X104),X105))),
    inference(forward_demodulation,[],[f118775,f11]) ).

fof(f118775,plain,
    ! [X101,X104,X102,X105,X103] : add(X101,add(add(X102,add(X103,X104)),X105)) = add(X102,add(X103,add(X104,add(X101,X105)))),
    inference(forward_demodulation,[],[f118774,f11]) ).

fof(f118774,plain,
    ! [X101,X104,X102,X105,X103] : add(X101,add(add(X102,add(X103,X104)),X105)) = add(X102,add(X103,add(add(X104,X101),X105))),
    inference(forward_demodulation,[],[f118773,f11]) ).

fof(f118773,plain,
    ! [X101,X104,X102,X105,X103] : add(X101,add(add(X102,add(X103,X104)),X105)) = add(X102,add(add(X103,add(X104,X101)),X105)),
    inference(forward_demodulation,[],[f118120,f11]) ).

fof(f118120,plain,
    ! [X101,X104,X102,X105,X103] : add(X101,add(add(X102,add(X103,X104)),X105)) = add(add(X102,add(X103,add(X104,X101))),X105),
    inference(superposition,[],[f11,f464]) ).

fof(f464,plain,
    ! [X38,X36,X37,X35] : add(X37,add(X38,add(X35,X36))) = add(X38,add(X35,add(X36,X37))),
    inference(superposition,[],[f280,f11]) ).

fof(f252547,plain,
    add(associator(x,multiply(additive_inverse(x),y),z),add(associator(x,multiply(y,x),z),add(associator(x,multiply(y,additive_inverse(x)),z),add(associator(multiply(x,x),y,z),multiply(x,multiply(y,multiply(z,x))))))) != add(associator(x,multiply(additive_inverse(x),y),z),add(associator(x,multiply(y,x),z),add(associator(x,multiply(y,additive_inverse(x)),z),add(associator(x,multiply(y,additive_inverse(additive_inverse(x))),z),add(associator(x,multiply(y,additive_inverse(x)),z),add(associator(multiply(x,x),y,z),multiply(x,multiply(y,multiply(z,x))))))))),
    inference(forward_demodulation,[],[f252546,f7]) ).

fof(f252546,plain,
    add(associator(x,multiply(additive_inverse(x),y),z),add(associator(x,multiply(y,x),z),add(associator(x,multiply(y,additive_inverse(x)),z),add(associator(multiply(x,x),y,z),multiply(x,multiply(y,multiply(z,x))))))) != add(associator(x,multiply(additive_inverse(additive_inverse(additive_inverse(x))),y),z),add(associator(x,multiply(y,x),z),add(associator(x,multiply(y,additive_inverse(x)),z),add(associator(x,multiply(y,additive_inverse(additive_inverse(x))),z),add(associator(x,multiply(y,additive_inverse(additive_inverse(additive_inverse(x)))),z),add(associator(multiply(x,x),y,z),multiply(x,multiply(y,multiply(z,x))))))))),
    inference(forward_demodulation,[],[f252545,f538]) ).

fof(f252545,plain,
    add(associator(x,multiply(additive_inverse(x),y),z),add(associator(x,multiply(y,x),z),add(associator(x,multiply(y,additive_inverse(x)),z),add(associator(multiply(x,x),y,z),multiply(x,multiply(y,multiply(z,x))))))) != add(associator(x,multiply(y,x),z),add(associator(x,multiply(y,additive_inverse(x)),z),add(associator(x,multiply(additive_inverse(additive_inverse(additive_inverse(x))),y),z),add(associator(x,multiply(y,additive_inverse(additive_inverse(x))),z),add(associator(x,multiply(y,additive_inverse(additive_inverse(additive_inverse(x)))),z),add(associator(multiply(x,x),y,z),multiply(x,multiply(y,multiply(z,x))))))))),
    inference(forward_demodulation,[],[f252544,f15670]) ).

fof(f252544,plain,
    add(associator(x,multiply(additive_inverse(x),y),z),add(associator(x,multiply(y,x),z),add(associator(x,multiply(y,additive_inverse(x)),z),add(associator(multiply(x,x),y,z),multiply(x,multiply(y,multiply(z,x))))))) != add(associator(x,multiply(y,x),z),add(associator(x,multiply(y,additive_inverse(x)),z),add(associator(x,add(multiply(additive_inverse(additive_inverse(additive_inverse(x))),y),multiply(y,additive_inverse(additive_inverse(x)))),z),add(associator(x,multiply(y,additive_inverse(additive_inverse(additive_inverse(x)))),z),add(associator(multiply(x,x),y,z),multiply(x,multiply(y,multiply(z,x)))))))),
    inference(forward_demodulation,[],[f252543,f302]) ).

fof(f252543,plain,
    add(associator(x,multiply(additive_inverse(x),y),z),add(associator(x,multiply(y,x),z),add(associator(x,multiply(y,additive_inverse(x)),z),add(associator(multiply(x,x),y,z),multiply(x,multiply(y,multiply(z,x))))))) != add(associator(x,multiply(y,additive_inverse(x)),z),add(associator(x,multiply(y,x),z),add(associator(x,add(multiply(additive_inverse(additive_inverse(additive_inverse(x))),y),multiply(y,additive_inverse(additive_inverse(x)))),z),add(associator(x,multiply(y,additive_inverse(additive_inverse(additive_inverse(x)))),z),add(associator(multiply(x,x),y,z),multiply(x,multiply(y,multiply(z,x)))))))),
    inference(forward_demodulation,[],[f252542,f118777]) ).

fof(f252542,plain,
    add(associator(x,multiply(additive_inverse(x),y),z),add(associator(x,multiply(y,x),z),add(associator(x,multiply(y,additive_inverse(x)),z),add(associator(multiply(x,x),y,z),multiply(x,multiply(y,multiply(z,x))))))) != add(associator(x,multiply(y,x),z),add(associator(x,add(multiply(additive_inverse(additive_inverse(additive_inverse(x))),y),multiply(y,additive_inverse(additive_inverse(x)))),z),add(associator(x,multiply(y,additive_inverse(additive_inverse(additive_inverse(x)))),z),add(associator(x,multiply(y,additive_inverse(x)),z),add(associator(multiply(x,x),y,z),multiply(x,multiply(y,multiply(z,x)))))))),
    inference(forward_demodulation,[],[f252541,f538]) ).

fof(f252541,plain,
    add(associator(x,multiply(additive_inverse(x),y),z),add(associator(x,multiply(y,x),z),add(associator(x,multiply(y,additive_inverse(x)),z),add(associator(multiply(x,x),y,z),multiply(x,multiply(y,multiply(z,x))))))) != add(associator(x,add(multiply(additive_inverse(additive_inverse(additive_inverse(x))),y),multiply(y,additive_inverse(additive_inverse(x)))),z),add(associator(x,multiply(y,additive_inverse(additive_inverse(additive_inverse(x)))),z),add(associator(x,multiply(y,x),z),add(associator(x,multiply(y,additive_inverse(x)),z),add(associator(multiply(x,x),y,z),multiply(x,multiply(y,multiply(z,x)))))))),
    inference(forward_demodulation,[],[f252540,f118540]) ).

fof(f118540,plain,
    ! [X40,X41,X39,X42,X43] : add(X42,add(X43,add(X41,add(X40,X39)))) = add(X40,add(X41,add(X42,add(X43,X39)))),
    inference(forward_demodulation,[],[f117873,f11]) ).

fof(f117873,plain,
    ! [X40,X41,X39,X42,X43] : add(X42,add(X43,add(X41,add(X40,X39)))) = add(add(X40,X41),add(X42,add(X43,X39))),
    inference(superposition,[],[f464,f479]) ).

fof(f479,plain,
    ! [X2,X0,X1] : add(X0,add(X1,X2)) = add(X2,add(X1,X0)),
    inference(superposition,[],[f280,f10]) ).

fof(f252540,plain,
    add(associator(x,multiply(additive_inverse(x),y),z),add(associator(x,multiply(y,x),z),add(associator(x,multiply(y,additive_inverse(x)),z),add(associator(multiply(x,x),y,z),multiply(x,multiply(y,multiply(z,x))))))) != add(associator(x,multiply(y,x),z),add(associator(x,multiply(y,additive_inverse(x)),z),add(associator(x,multiply(y,additive_inverse(additive_inverse(additive_inverse(x)))),z),add(associator(x,add(multiply(additive_inverse(additive_inverse(additive_inverse(x))),y),multiply(y,additive_inverse(additive_inverse(x)))),z),add(associator(multiply(x,x),y,z),multiply(x,multiply(y,multiply(z,x)))))))),
    inference(forward_demodulation,[],[f252539,f87874]) ).

fof(f87874,plain,
    ! [X246,X247,X244,X245] : associator(X246,add(multiply(additive_inverse(X245),X244),multiply(X244,X245)),X247) = associator(X246,commutator(X245,X244),X247),
    inference(superposition,[],[f15797,f9837]) ).

fof(f9837,plain,
    ! [X8,X9] : commutator(X8,X9) = add(multiply(X9,X8),multiply(additive_inverse(X8),X9)),
    inference(superposition,[],[f6128,f9615]) ).

fof(f9615,plain,
    ! [X3,X4] : multiply(X3,additive_inverse(X4)) = multiply(additive_inverse(X3),X4),
    inference(forward_demodulation,[],[f9614,f52]) ).

fof(f52,plain,
    ! [X0,X1] : add(X0,add(additive_inverse(X0),X1)) = X1,
    inference(forward_demodulation,[],[f44,f11]) ).

fof(f44,plain,
    ! [X0,X1] : add(add(X0,additive_inverse(X0)),X1) = X1,
    inference(superposition,[],[f1,f6]) ).

fof(f9614,plain,
    ! [X3,X4] : multiply(X3,additive_inverse(X4)) = add(X3,add(additive_inverse(X3),multiply(additive_inverse(X3),X4))),
    inference(forward_demodulation,[],[f9613,f11]) ).

fof(f9613,plain,
    ! [X3,X4] : multiply(X3,additive_inverse(X4)) = add(add(X3,additive_inverse(X3)),multiply(additive_inverse(X3),X4)),
    inference(forward_demodulation,[],[f9543,f10]) ).

fof(f9543,plain,
    ! [X3,X4] : multiply(X3,additive_inverse(X4)) = add(multiply(additive_inverse(X3),X4),add(X3,additive_inverse(X3))),
    inference(superposition,[],[f6185,f32]) ).

fof(f32,plain,
    ! [X2,X3] : add(multiply(X2,X3),multiply(additive_inverse(X2),X3)) = add(X2,additive_inverse(X2)),
    inference(forward_demodulation,[],[f31,f10]) ).

fof(f31,plain,
    ! [X2,X3] : add(additive_inverse(X2),X2) = add(multiply(X2,X3),multiply(additive_inverse(X2),X3)),
    inference(forward_demodulation,[],[f30,f10]) ).

fof(f30,plain,
    ! [X2,X3] : add(additive_inverse(X2),X2) = add(multiply(additive_inverse(X2),X3),multiply(X2,X3)),
    inference(forward_demodulation,[],[f21,f9]) ).

fof(f21,plain,
    ! [X2,X3] : add(additive_inverse(X2),X2) = multiply(add(additive_inverse(X2),X2),X3),
    inference(superposition,[],[f3,f5]) ).

fof(f6185,plain,
    ! [X28,X29,X30] : add(multiply(X28,X29),add(X30,multiply(X28,additive_inverse(X29)))) = X30,
    inference(forward_demodulation,[],[f6078,f33]) ).

fof(f6078,plain,
    ! [X28,X29,X30] : add(X30,add(X29,additive_inverse(X29))) = add(multiply(X28,X29),add(X30,multiply(X28,additive_inverse(X29)))),
    inference(superposition,[],[f302,f29]) ).

fof(f6128,plain,
    ! [X0,X1] : commutator(X0,X1) = add(multiply(X1,X0),multiply(X0,additive_inverse(X1))),
    inference(backward_demodulation,[],[f15,f6127]) ).

fof(f6127,plain,
    ! [X14,X13] : multiply(X13,additive_inverse(X14)) = additive_inverse(multiply(X13,X14)),
    inference(forward_demodulation,[],[f6126,f52]) ).

fof(f6126,plain,
    ! [X14,X13] : multiply(X13,additive_inverse(X14)) = add(X14,add(additive_inverse(X14),additive_inverse(multiply(X13,X14)))),
    inference(forward_demodulation,[],[f6125,f11]) ).

fof(f6125,plain,
    ! [X14,X13] : multiply(X13,additive_inverse(X14)) = add(add(X14,additive_inverse(X14)),additive_inverse(multiply(X13,X14))),
    inference(forward_demodulation,[],[f6072,f10]) ).

fof(f6072,plain,
    ! [X14,X13] : multiply(X13,additive_inverse(X14)) = add(additive_inverse(multiply(X13,X14)),add(X14,additive_inverse(X14))),
    inference(superposition,[],[f34,f29]) ).

fof(f15,axiom,
    ! [X0,X1] : commutator(X0,X1) = add(multiply(X1,X0),additive_inverse(multiply(X0,X1))),
    file('/export/starexec/sandbox2/tmp/tmp.29fFe037XW/Vampire---4.8_20557',commutator) ).

fof(f15797,plain,
    ! [X18,X19,X16,X17] : associator(X16,add(X17,X19),X18) = associator(X16,add(X19,X17),X18),
    inference(forward_demodulation,[],[f15660,f3602]) ).

fof(f15660,plain,
    ! [X18,X19,X16,X17] : add(associator(X16,X19,X18),associator(X16,X17,X18)) = associator(X16,add(X17,X19),X18),
    inference(superposition,[],[f3602,f10]) ).

fof(f252539,plain,
    add(associator(x,multiply(additive_inverse(x),y),z),add(associator(x,multiply(y,x),z),add(associator(x,multiply(y,additive_inverse(x)),z),add(associator(multiply(x,x),y,z),multiply(x,multiply(y,multiply(z,x))))))) != add(associator(x,multiply(y,x),z),add(associator(x,multiply(y,additive_inverse(x)),z),add(associator(x,multiply(y,additive_inverse(additive_inverse(additive_inverse(x)))),z),add(associator(x,commutator(additive_inverse(additive_inverse(x)),y),z),add(associator(multiply(x,x),y,z),multiply(x,multiply(y,multiply(z,x)))))))),
    inference(forward_demodulation,[],[f252538,f15670]) ).

fof(f252538,plain,
    add(associator(x,multiply(additive_inverse(x),y),z),add(associator(x,multiply(y,x),z),add(associator(x,multiply(y,additive_inverse(x)),z),add(associator(multiply(x,x),y,z),multiply(x,multiply(y,multiply(z,x))))))) != add(associator(x,multiply(y,x),z),add(associator(x,multiply(y,additive_inverse(x)),z),add(associator(x,add(multiply(y,additive_inverse(additive_inverse(additive_inverse(x)))),commutator(additive_inverse(additive_inverse(x)),y)),z),add(associator(multiply(x,x),y,z),multiply(x,multiply(y,multiply(z,x))))))),
    inference(forward_demodulation,[],[f252537,f87908]) ).

fof(f87908,plain,
    ! [X467,X466,X469,X468] : associator(X468,add(multiply(X467,additive_inverse(X466)),commutator(X466,X467)),X469) = associator(X468,multiply(X466,additive_inverse(X467)),X469),
    inference(superposition,[],[f15797,f6142]) ).

fof(f6142,plain,
    ! [X16,X17] : multiply(X17,additive_inverse(X16)) = add(commutator(X17,X16),multiply(X16,additive_inverse(X17))),
    inference(forward_demodulation,[],[f6131,f6127]) ).

fof(f6131,plain,
    ! [X16,X17] : add(commutator(X17,X16),additive_inverse(multiply(X16,X17))) = multiply(X17,additive_inverse(X16)),
    inference(backward_demodulation,[],[f1261,f6127]) ).

fof(f1261,plain,
    ! [X16,X17] : additive_inverse(multiply(X17,X16)) = add(commutator(X17,X16),additive_inverse(multiply(X16,X17))),
    inference(forward_demodulation,[],[f1240,f10]) ).

fof(f1240,plain,
    ! [X16,X17] : additive_inverse(multiply(X17,X16)) = add(additive_inverse(multiply(X16,X17)),commutator(X17,X16)),
    inference(superposition,[],[f34,f15]) ).

fof(f252537,plain,
    add(associator(x,multiply(additive_inverse(x),y),z),add(associator(x,multiply(y,x),z),add(associator(x,multiply(y,additive_inverse(x)),z),add(associator(multiply(x,x),y,z),multiply(x,multiply(y,multiply(z,x))))))) != add(associator(x,multiply(y,x),z),add(associator(x,multiply(y,additive_inverse(x)),z),add(associator(x,multiply(additive_inverse(additive_inverse(x)),additive_inverse(y)),z),add(associator(multiply(x,x),y,z),multiply(x,multiply(y,multiply(z,x))))))),
    inference(forward_demodulation,[],[f252536,f538]) ).

fof(f252536,plain,
    add(associator(x,multiply(additive_inverse(x),y),z),add(associator(x,multiply(y,x),z),add(associator(x,multiply(y,additive_inverse(x)),z),add(associator(multiply(x,x),y,z),multiply(x,multiply(y,multiply(z,x))))))) != add(associator(x,multiply(y,additive_inverse(x)),z),add(associator(x,multiply(additive_inverse(additive_inverse(x)),additive_inverse(y)),z),add(associator(x,multiply(y,x),z),add(associator(multiply(x,x),y,z),multiply(x,multiply(y,multiply(z,x))))))),
    inference(forward_demodulation,[],[f252535,f9611]) ).

fof(f9611,plain,
    ! [X2,X1] : multiply(X1,X2) = multiply(additive_inverse(X1),additive_inverse(X2)),
    inference(forward_demodulation,[],[f9542,f33]) ).

fof(f9542,plain,
    ! [X2,X1] : multiply(additive_inverse(X1),additive_inverse(X2)) = add(multiply(X1,X2),add(X1,additive_inverse(X1))),
    inference(superposition,[],[f6124,f32]) ).

fof(f6124,plain,
    ! [X10,X11,X12] : add(multiply(X10,X11),add(multiply(X10,additive_inverse(X11)),X12)) = X12,
    inference(forward_demodulation,[],[f6123,f52]) ).

fof(f6123,plain,
    ! [X10,X11,X12] : add(X11,add(additive_inverse(X11),X12)) = add(multiply(X10,X11),add(multiply(X10,additive_inverse(X11)),X12)),
    inference(forward_demodulation,[],[f6071,f11]) ).

fof(f6071,plain,
    ! [X10,X11,X12] : add(add(X11,additive_inverse(X11)),X12) = add(multiply(X10,X11),add(multiply(X10,additive_inverse(X11)),X12)),
    inference(superposition,[],[f11,f29]) ).

fof(f252535,plain,
    add(associator(x,multiply(additive_inverse(x),y),z),add(associator(x,multiply(y,x),z),add(associator(x,multiply(y,additive_inverse(x)),z),add(associator(multiply(x,x),y,z),multiply(x,multiply(y,multiply(z,x))))))) != add(associator(x,multiply(y,additive_inverse(x)),z),add(associator(x,multiply(additive_inverse(additive_inverse(x)),additive_inverse(y)),z),add(associator(x,multiply(additive_inverse(y),additive_inverse(x)),z),add(associator(multiply(x,x),y,z),multiply(x,multiply(y,multiply(z,x))))))),
    inference(forward_demodulation,[],[f252534,f538]) ).

fof(f252534,plain,
    add(associator(x,multiply(additive_inverse(x),y),z),add(associator(x,multiply(y,x),z),add(associator(x,multiply(y,additive_inverse(x)),z),add(associator(multiply(x,x),y,z),multiply(x,multiply(y,multiply(z,x))))))) != add(associator(x,multiply(additive_inverse(additive_inverse(x)),additive_inverse(y)),z),add(associator(x,multiply(additive_inverse(y),additive_inverse(x)),z),add(associator(x,multiply(y,additive_inverse(x)),z),add(associator(multiply(x,x),y,z),multiply(x,multiply(y,multiply(z,x))))))),
    inference(forward_demodulation,[],[f252533,f9611]) ).

fof(f252533,plain,
    add(associator(x,multiply(additive_inverse(x),y),z),add(associator(x,multiply(y,x),z),add(associator(x,multiply(y,additive_inverse(x)),z),add(associator(multiply(x,x),y,z),multiply(x,multiply(y,multiply(z,x))))))) != add(associator(x,multiply(additive_inverse(additive_inverse(x)),additive_inverse(y)),z),add(associator(x,multiply(additive_inverse(y),additive_inverse(x)),z),add(associator(x,multiply(additive_inverse(y),additive_inverse(additive_inverse(x))),z),add(associator(multiply(x,x),y,z),multiply(x,multiply(y,multiply(z,x))))))),
    inference(forward_demodulation,[],[f252532,f15670]) ).

fof(f252532,plain,
    add(associator(x,multiply(additive_inverse(x),y),z),add(associator(x,multiply(y,x),z),add(associator(x,multiply(y,additive_inverse(x)),z),add(associator(multiply(x,x),y,z),multiply(x,multiply(y,multiply(z,x))))))) != add(associator(x,add(multiply(additive_inverse(additive_inverse(x)),additive_inverse(y)),multiply(additive_inverse(y),additive_inverse(x))),z),add(associator(x,multiply(additive_inverse(y),additive_inverse(additive_inverse(x))),z),add(associator(multiply(x,x),y,z),multiply(x,multiply(y,multiply(z,x)))))),
    inference(forward_demodulation,[],[f252531,f302]) ).

fof(f252531,plain,
    add(associator(x,multiply(additive_inverse(x),y),z),add(associator(x,multiply(y,x),z),add(associator(x,multiply(y,additive_inverse(x)),z),add(associator(multiply(x,x),y,z),multiply(x,multiply(y,multiply(z,x))))))) != add(associator(x,multiply(additive_inverse(y),additive_inverse(additive_inverse(x))),z),add(associator(x,add(multiply(additive_inverse(additive_inverse(x)),additive_inverse(y)),multiply(additive_inverse(y),additive_inverse(x))),z),add(associator(multiply(x,x),y,z),multiply(x,multiply(y,multiply(z,x)))))),
    inference(forward_demodulation,[],[f252530,f87874]) ).

fof(f252530,plain,
    add(associator(x,multiply(additive_inverse(x),y),z),add(associator(x,multiply(y,x),z),add(associator(x,multiply(y,additive_inverse(x)),z),add(associator(multiply(x,x),y,z),multiply(x,multiply(y,multiply(z,x))))))) != add(associator(x,multiply(additive_inverse(y),additive_inverse(additive_inverse(x))),z),add(associator(x,commutator(additive_inverse(x),additive_inverse(y)),z),add(associator(multiply(x,x),y,z),multiply(x,multiply(y,multiply(z,x)))))),
    inference(forward_demodulation,[],[f252529,f15670]) ).

fof(f252529,plain,
    add(associator(x,multiply(additive_inverse(x),y),z),add(associator(x,multiply(y,x),z),add(associator(x,multiply(y,additive_inverse(x)),z),add(associator(multiply(x,x),y,z),multiply(x,multiply(y,multiply(z,x))))))) != add(associator(x,add(multiply(additive_inverse(y),additive_inverse(additive_inverse(x))),commutator(additive_inverse(x),additive_inverse(y))),z),add(associator(multiply(x,x),y,z),multiply(x,multiply(y,multiply(z,x))))),
    inference(forward_demodulation,[],[f252528,f87908]) ).

fof(f252528,plain,
    add(associator(x,multiply(additive_inverse(x),y),z),add(associator(x,multiply(y,x),z),add(associator(x,multiply(y,additive_inverse(x)),z),add(associator(multiply(x,x),y,z),multiply(x,multiply(y,multiply(z,x))))))) != add(associator(x,multiply(additive_inverse(x),additive_inverse(additive_inverse(y))),z),add(associator(multiply(x,x),y,z),multiply(x,multiply(y,multiply(z,x))))),
    inference(forward_demodulation,[],[f252527,f6127]) ).

fof(f252527,plain,
    add(associator(x,multiply(additive_inverse(x),y),z),add(associator(x,multiply(y,x),z),add(associator(x,multiply(y,additive_inverse(x)),z),add(associator(multiply(x,x),y,z),multiply(x,multiply(y,multiply(z,x))))))) != add(associator(x,additive_inverse(multiply(additive_inverse(x),additive_inverse(y))),z),add(associator(multiply(x,x),y,z),multiply(x,multiply(y,multiply(z,x))))),
    inference(forward_demodulation,[],[f252526,f41503]) ).

fof(f41503,plain,
    ! [X224,X222,X223] : associator(X224,X223,X222) = associator(X224,additive_inverse(X222),X223),
    inference(forward_demodulation,[],[f41502,f24865]) ).

fof(f24865,plain,
    ! [X145,X146,X147] : associator(X145,additive_inverse(X146),add(X146,X147)) = associator(X145,additive_inverse(X146),X147),
    inference(forward_demodulation,[],[f24836,f1]) ).

fof(f24836,plain,
    ! [X145,X146,X147] : associator(X145,additive_inverse(X146),add(X146,X147)) = add(additive_identity,associator(X145,additive_inverse(X146),X147)),
    inference(superposition,[],[f3612,f24541]) ).

fof(f24541,plain,
    ! [X62,X61] : additive_identity = associator(X62,additive_inverse(X61),X61),
    inference(forward_demodulation,[],[f24376,f3453]) ).

fof(f24376,plain,
    ! [X62,X61] : associator(X62,additive_inverse(X61),X61) = associator(X62,additive_identity,X61),
    inference(superposition,[],[f15697,f6]) ).

fof(f15697,plain,
    ! [X40,X38,X39] : associator(X38,add(X39,X40),X39) = associator(X38,X40,X39),
    inference(forward_demodulation,[],[f15593,f1]) ).

fof(f15593,plain,
    ! [X40,X38,X39] : associator(X38,add(X39,X40),X39) = add(additive_identity,associator(X38,X40,X39)),
    inference(superposition,[],[f3602,f4691]) ).

fof(f4691,plain,
    ! [X10,X9] : additive_identity = associator(X9,X10,X10),
    inference(superposition,[],[f4674,f1]) ).

fof(f4674,plain,
    ! [X26,X27,X25] : add(X27,associator(X25,X26,X26)) = X27,
    inference(forward_demodulation,[],[f4673,f52]) ).

fof(f4673,plain,
    ! [X26,X27,X25] : add(X27,associator(X25,X26,X26)) = add(multiply(X25,multiply(X26,X26)),add(additive_inverse(multiply(X25,multiply(X26,X26))),X27)),
    inference(forward_demodulation,[],[f4621,f280]) ).

fof(f4621,plain,
    ! [X26,X27,X25] : add(X27,associator(X25,X26,X26)) = add(additive_inverse(multiply(X25,multiply(X26,X26))),add(X27,multiply(X25,multiply(X26,X26)))),
    inference(superposition,[],[f289,f3533]) ).

fof(f3533,plain,
    ! [X0,X1] : multiply(X0,multiply(X1,X1)) = add(associator(X0,X1,X1),multiply(X0,multiply(X1,X1))),
    inference(backward_demodulation,[],[f12,f3531]) ).

fof(f12,axiom,
    ! [X0,X1] : multiply(multiply(X0,X1),X1) = multiply(X0,multiply(X1,X1)),
    file('/export/starexec/sandbox2/tmp/tmp.29fFe037XW/Vampire---4.8_20557',right_alternative) ).

fof(f289,plain,
    ! [X2,X0,X1] : add(X0,X1) = add(additive_inverse(X2),add(X0,add(X1,X2))),
    inference(superposition,[],[f92,f11]) ).

fof(f3612,plain,
    ! [X8,X6,X9,X7] : associator(X6,X7,add(X8,X9)) = add(associator(X6,X7,X8),associator(X6,X7,X9)),
    inference(forward_demodulation,[],[f3611,f33]) ).

fof(f3611,plain,
    ! [X8,X6,X9,X7] : associator(X6,X7,add(X8,X9)) = add(associator(X6,X7,X8),add(associator(X6,X7,X9),add(multiply(X6,multiply(X7,X9)),additive_inverse(multiply(X6,multiply(X7,X9)))))),
    inference(forward_demodulation,[],[f3610,f11]) ).

fof(f3610,plain,
    ! [X8,X6,X9,X7] : associator(X6,X7,add(X8,X9)) = add(associator(X6,X7,X8),add(add(associator(X6,X7,X9),multiply(X6,multiply(X7,X9))),additive_inverse(multiply(X6,multiply(X7,X9))))),
    inference(forward_demodulation,[],[f3609,f3531]) ).

fof(f3609,plain,
    ! [X8,X6,X9,X7] : associator(X6,X7,add(X8,X9)) = add(associator(X6,X7,X8),add(multiply(multiply(X6,X7),X9),additive_inverse(multiply(X6,multiply(X7,X9))))),
    inference(forward_demodulation,[],[f3608,f301]) ).

fof(f3608,plain,
    ! [X8,X6,X9,X7] : associator(X6,X7,add(X8,X9)) = add(associator(X6,X7,X8),add(multiply(X6,multiply(X7,X8)),add(multiply(multiply(X6,X7),X9),add(additive_inverse(multiply(X6,multiply(X7,X9))),additive_inverse(multiply(X6,multiply(X7,X8))))))),
    inference(forward_demodulation,[],[f3546,f11]) ).

fof(f3546,plain,
    ! [X8,X6,X9,X7] : associator(X6,X7,add(X8,X9)) = add(add(associator(X6,X7,X8),multiply(X6,multiply(X7,X8))),add(multiply(multiply(X6,X7),X9),add(additive_inverse(multiply(X6,multiply(X7,X9))),additive_inverse(multiply(X6,multiply(X7,X8)))))),
    inference(backward_demodulation,[],[f3484,f3531]) ).

fof(f3484,plain,
    ! [X8,X6,X9,X7] : associator(X6,X7,add(X8,X9)) = add(multiply(multiply(X6,X7),X8),add(multiply(multiply(X6,X7),X9),add(additive_inverse(multiply(X6,multiply(X7,X9))),additive_inverse(multiply(X6,multiply(X7,X8)))))),
    inference(forward_demodulation,[],[f3483,f241]) ).

fof(f3483,plain,
    ! [X8,X6,X9,X7] : associator(X6,X7,add(X8,X9)) = add(multiply(multiply(X6,X7),X8),add(multiply(multiply(X6,X7),X9),additive_inverse(add(multiply(X6,multiply(X7,X8)),multiply(X6,multiply(X7,X9)))))),
    inference(forward_demodulation,[],[f3482,f8]) ).

fof(f3482,plain,
    ! [X8,X6,X9,X7] : associator(X6,X7,add(X8,X9)) = add(multiply(multiply(X6,X7),X8),add(multiply(multiply(X6,X7),X9),additive_inverse(multiply(X6,add(multiply(X7,X8),multiply(X7,X9)))))),
    inference(forward_demodulation,[],[f3481,f8]) ).

fof(f3481,plain,
    ! [X8,X6,X9,X7] : associator(X6,X7,add(X8,X9)) = add(multiply(multiply(X6,X7),X8),add(multiply(multiply(X6,X7),X9),additive_inverse(multiply(X6,multiply(X7,add(X8,X9)))))),
    inference(forward_demodulation,[],[f3418,f11]) ).

fof(f3418,plain,
    ! [X8,X6,X9,X7] : associator(X6,X7,add(X8,X9)) = add(add(multiply(multiply(X6,X7),X8),multiply(multiply(X6,X7),X9)),additive_inverse(multiply(X6,multiply(X7,add(X8,X9))))),
    inference(superposition,[],[f14,f8]) ).

fof(f41502,plain,
    ! [X224,X222,X223] : associator(X224,additive_inverse(X222),add(X222,X223)) = associator(X224,X223,X222),
    inference(forward_demodulation,[],[f41280,f18787]) ).

fof(f18787,plain,
    ! [X50,X48,X49] : associator(X48,X49,X50) = associator(X48,X49,add(X50,X49)),
    inference(forward_demodulation,[],[f18627,f2]) ).

fof(f18627,plain,
    ! [X50,X48,X49] : associator(X48,X49,add(X50,X49)) = add(associator(X48,X49,X50),additive_identity),
    inference(superposition,[],[f3612,f4691]) ).

fof(f41280,plain,
    ! [X224,X222,X223] : associator(X224,additive_inverse(X222),add(X222,X223)) = associator(X224,X223,add(X222,X223)),
    inference(superposition,[],[f15750,f34]) ).

fof(f15750,plain,
    ! [X40,X38,X39] : associator(X38,X40,X39) = associator(X38,add(X40,X39),X39),
    inference(forward_demodulation,[],[f15629,f2]) ).

fof(f15629,plain,
    ! [X40,X38,X39] : associator(X38,add(X40,X39),X39) = add(associator(X38,X40,X39),additive_identity),
    inference(superposition,[],[f3602,f4691]) ).

fof(f252526,plain,
    add(associator(x,multiply(additive_inverse(x),y),z),add(associator(x,multiply(y,x),z),add(associator(x,multiply(y,additive_inverse(x)),z),add(associator(multiply(x,x),y,z),multiply(x,multiply(y,multiply(z,x))))))) != add(associator(x,z,multiply(additive_inverse(x),additive_inverse(y))),add(associator(multiply(x,x),y,z),multiply(x,multiply(y,multiply(z,x))))),
    inference(forward_demodulation,[],[f252525,f41472]) ).

fof(f41472,plain,
    ! [X11,X12,X13] : associator(X13,X12,additive_inverse(X11)) = associator(X13,X11,X12),
    inference(forward_demodulation,[],[f41471,f25039]) ).

fof(f25039,plain,
    ! [X150,X151,X149] : associator(X149,X150,add(X151,additive_inverse(X150))) = associator(X149,X150,X151),
    inference(forward_demodulation,[],[f25020,f2]) ).

fof(f25020,plain,
    ! [X150,X151,X149] : associator(X149,X150,add(X151,additive_inverse(X150))) = add(associator(X149,X150,X151),additive_identity),
    inference(superposition,[],[f3612,f24563]) ).

fof(f24563,plain,
    ! [X178,X179] : additive_identity = associator(X179,X178,additive_inverse(X178)),
    inference(forward_demodulation,[],[f24409,f3453]) ).

fof(f24409,plain,
    ! [X178,X179] : associator(X179,X178,additive_inverse(X178)) = associator(X179,additive_identity,additive_inverse(X178)),
    inference(superposition,[],[f15697,f5]) ).

fof(f41471,plain,
    ! [X11,X12,X13] : associator(X13,X11,add(X12,additive_inverse(X11))) = associator(X13,X12,additive_inverse(X11)),
    inference(forward_demodulation,[],[f41233,f18720]) ).

fof(f18720,plain,
    ! [X50,X48,X49] : associator(X48,X49,X50) = associator(X48,X49,add(X49,X50)),
    inference(forward_demodulation,[],[f18576,f1]) ).

fof(f18576,plain,
    ! [X50,X48,X49] : associator(X48,X49,add(X49,X50)) = add(additive_identity,associator(X48,X49,X50)),
    inference(superposition,[],[f3612,f4691]) ).

fof(f41233,plain,
    ! [X11,X12,X13] : associator(X13,X11,add(X12,additive_inverse(X11))) = associator(X13,X12,add(X12,additive_inverse(X11))),
    inference(superposition,[],[f15750,f107]) ).

fof(f252525,plain,
    add(associator(x,multiply(additive_inverse(x),y),z),add(associator(x,multiply(y,x),z),add(associator(x,multiply(y,additive_inverse(x)),z),add(associator(multiply(x,x),y,z),multiply(x,multiply(y,multiply(z,x))))))) != add(associator(x,z,multiply(additive_inverse(x),additive_inverse(y))),add(associator(multiply(x,x),z,additive_inverse(y)),multiply(x,multiply(y,multiply(z,x))))),
    inference(forward_demodulation,[],[f252524,f302]) ).

fof(f252524,plain,
    add(associator(x,multiply(additive_inverse(x),y),z),add(associator(x,multiply(y,x),z),add(associator(x,multiply(y,additive_inverse(x)),z),add(associator(multiply(x,x),y,z),multiply(x,multiply(y,multiply(z,x))))))) != add(associator(multiply(x,x),z,additive_inverse(y)),add(associator(x,z,multiply(additive_inverse(x),additive_inverse(y))),multiply(x,multiply(y,multiply(z,x))))),
    inference(forward_demodulation,[],[f252523,f239501]) ).

fof(f239501,plain,
    ! [X10,X11,X12] : associator(X10,X12,multiply(additive_inverse(X10),X11)) = associator(X10,X11,multiply(X10,X12)),
    inference(forward_demodulation,[],[f239484,f88691]) ).

fof(f88691,plain,
    ! [X198,X199,X196,X197] : add(associator(X196,X198,X197),add(associator(X196,X197,X198),X199)) = X199,
    inference(forward_demodulation,[],[f88690,f4689]) ).

fof(f4689,plain,
    ! [X3,X4,X5] : add(associator(X4,X5,X5),X3) = X3,
    inference(superposition,[],[f4674,f10]) ).

fof(f88690,plain,
    ! [X198,X199,X196,X197] : add(associator(X196,X198,X197),add(associator(X196,X198,X198),add(associator(X196,X197,X198),X199))) = X199,
    inference(forward_demodulation,[],[f88689,f15670]) ).

fof(f88689,plain,
    ! [X198,X199,X196,X197] : add(associator(X196,X198,X197),add(associator(X196,add(X198,X197),X198),X199)) = X199,
    inference(forward_demodulation,[],[f88688,f4689]) ).

fof(f88688,plain,
    ! [X198,X199,X196,X197] : add(associator(X196,X198,X197),add(associator(X196,X197,X197),add(associator(X196,add(X198,X197),X198),X199))) = X199,
    inference(forward_demodulation,[],[f88687,f15670]) ).

fof(f88687,plain,
    ! [X198,X199,X196,X197] : add(associator(X196,add(X198,X197),X197),add(associator(X196,add(X198,X197),X198),X199)) = X199,
    inference(forward_demodulation,[],[f88231,f18693]) ).

fof(f18693,plain,
    ! [X50,X51,X48,X49,X52] : add(associator(X48,X49,X50),add(associator(X48,X49,X51),X52)) = add(associator(X48,X49,add(X50,X51)),X52),
    inference(superposition,[],[f11,f3612]) ).

fof(f88231,plain,
    ! [X198,X199,X196,X197] : add(associator(X196,add(X198,X197),add(X197,X198)),X199) = X199,
    inference(superposition,[],[f4689,f15797]) ).

fof(f239484,plain,
    ! [X10,X11,X12] : associator(X10,X12,multiply(additive_inverse(X10),X11)) = add(associator(multiply(X10,X10),X11,X12),add(associator(multiply(X10,X10),X12,X11),associator(X10,X11,multiply(X10,X12)))),
    inference(backward_demodulation,[],[f55622,f239359]) ).

fof(f239359,plain,
    ! [X31,X32,X33] : multiply(X31,associator(X31,X32,X33)) = add(associator(multiply(X31,X31),X32,X33),associator(X31,X33,multiply(X31,X32))),
    inference(backward_demodulation,[],[f34459,f239294]) ).

fof(f239294,plain,
    ! [X170,X171,X169] : additive_inverse(associator(X170,X169,X171)) = associator(X170,X171,X169),
    inference(forward_demodulation,[],[f239293,f20101]) ).

fof(f20101,plain,
    ! [X160,X161,X159] : associator(X159,X160,add(X161,X159)) = associator(X159,X160,X161),
    inference(forward_demodulation,[],[f20082,f2]) ).

fof(f20082,plain,
    ! [X160,X161,X159] : associator(X159,X160,add(X161,X159)) = add(associator(X159,X160,X161),additive_identity),
    inference(superposition,[],[f3612,f19879]) ).

fof(f19879,plain,
    ! [X0,X1] : additive_identity = associator(X0,X1,X0),
    inference(forward_demodulation,[],[f19787,f18787]) ).

fof(f19787,plain,
    ! [X0,X1] : additive_identity = associator(X0,X1,add(X0,X1)),
    inference(superposition,[],[f15687,f4691]) ).

fof(f15687,plain,
    ! [X3,X4,X5] : associator(X3,add(X3,X5),X4) = associator(X3,X5,X4),
    inference(forward_demodulation,[],[f15585,f1]) ).

fof(f15585,plain,
    ! [X3,X4,X5] : associator(X3,add(X3,X5),X4) = add(additive_identity,associator(X3,X5,X4)),
    inference(superposition,[],[f3602,f5412]) ).

fof(f5412,plain,
    ! [X11,X12] : additive_identity = associator(X11,X11,X12),
    inference(superposition,[],[f5390,f1]) ).

fof(f5390,plain,
    ! [X28,X26,X27] : add(X28,associator(X26,X26,X27)) = X28,
    inference(forward_demodulation,[],[f5389,f52]) ).

fof(f5389,plain,
    ! [X28,X26,X27] : add(X28,associator(X26,X26,X27)) = add(multiply(X26,multiply(X26,X27)),add(additive_inverse(multiply(X26,multiply(X26,X27))),X28)),
    inference(forward_demodulation,[],[f5341,f280]) ).

fof(f5341,plain,
    ! [X28,X26,X27] : add(X28,associator(X26,X26,X27)) = add(additive_inverse(multiply(X26,multiply(X26,X27))),add(X28,multiply(X26,multiply(X26,X27)))),
    inference(superposition,[],[f289,f3534]) ).

fof(f3534,plain,
    ! [X0,X1] : multiply(X0,multiply(X0,X1)) = add(associator(X0,X0,X1),multiply(X0,multiply(X0,X1))),
    inference(backward_demodulation,[],[f13,f3531]) ).

fof(f13,axiom,
    ! [X0,X1] : multiply(multiply(X0,X0),X1) = multiply(X0,multiply(X0,X1)),
    file('/export/starexec/sandbox2/tmp/tmp.29fFe037XW/Vampire---4.8_20557',left_alternative) ).

fof(f239293,plain,
    ! [X170,X171,X169] : additive_inverse(associator(X170,X169,X171)) = associator(X170,X171,add(X169,X170)),
    inference(forward_demodulation,[],[f239292,f52524]) ).

fof(f52524,plain,
    ! [X345,X347,X346] : associator(X345,X347,X346) = associator(X346,X345,X347),
    inference(forward_demodulation,[],[f52075,f52074]) ).

fof(f52074,plain,
    ! [X344,X342,X343] : associator(X342,additive_inverse(X344),additive_inverse(X343)) = associator(X342,X344,X343),
    inference(superposition,[],[f41472,f41472]) ).

fof(f52075,plain,
    ! [X345,X347,X346] : associator(X346,additive_inverse(X345),additive_inverse(X347)) = associator(X345,X347,X346),
    inference(superposition,[],[f41472,f40012]) ).

fof(f40012,plain,
    ! [X224,X222,X223] : associator(X222,X223,X224) = associator(X223,additive_inverse(X222),X224),
    inference(forward_demodulation,[],[f40011,f17105]) ).

fof(f17105,plain,
    ! [X78,X76,X77] : associator(add(X76,X78),additive_inverse(X76),X77) = associator(X78,additive_inverse(X76),X77),
    inference(forward_demodulation,[],[f17104,f52]) ).

fof(f17104,plain,
    ! [X78,X76,X77] : associator(add(X76,X78),additive_inverse(X76),X77) = add(X76,add(additive_inverse(X76),associator(X78,additive_inverse(X76),X77))),
    inference(forward_demodulation,[],[f16983,f11]) ).

fof(f16983,plain,
    ! [X78,X76,X77] : associator(add(X76,X78),additive_inverse(X76),X77) = add(add(X76,additive_inverse(X76)),associator(X78,additive_inverse(X76),X77)),
    inference(superposition,[],[f3607,f15197]) ).

fof(f15197,plain,
    ! [X8,X7] : add(X7,additive_inverse(X7)) = associator(X7,additive_inverse(X7),X8),
    inference(forward_demodulation,[],[f15119,f10]) ).

fof(f15119,plain,
    ! [X8,X7] : add(additive_inverse(X7),X7) = associator(X7,additive_inverse(X7),X8),
    inference(superposition,[],[f14904,f7]) ).

fof(f14904,plain,
    ! [X11,X12] : add(X11,additive_inverse(X11)) = associator(additive_inverse(X11),X11,X12),
    inference(forward_demodulation,[],[f14903,f29]) ).

fof(f14903,plain,
    ! [X11,X12] : associator(additive_inverse(X11),X11,X12) = add(multiply(additive_inverse(X11),X11),multiply(additive_inverse(X11),additive_inverse(X11))),
    inference(forward_demodulation,[],[f14902,f10]) ).

fof(f14902,plain,
    ! [X11,X12] : add(multiply(additive_inverse(X11),additive_inverse(X11)),multiply(additive_inverse(X11),X11)) = associator(additive_inverse(X11),X11,X12),
    inference(forward_demodulation,[],[f14901,f33]) ).

fof(f14901,plain,
    ! [X11,X12] : add(multiply(additive_inverse(X11),additive_inverse(X11)),multiply(additive_inverse(X11),X11)) = add(associator(additive_inverse(X11),X11,X12),add(X11,additive_inverse(X11))),
    inference(forward_demodulation,[],[f14900,f9617]) ).

fof(f9617,plain,
    ! [X6,X7,X5] : add(X5,additive_inverse(X5)) = add(multiply(X7,multiply(X5,X6)),multiply(X7,multiply(additive_inverse(X5),X6))),
    inference(forward_demodulation,[],[f9616,f29]) ).

fof(f9616,plain,
    ! [X6,X7,X5] : add(multiply(X7,multiply(X5,X6)),multiply(X7,multiply(additive_inverse(X5),X6))) = add(multiply(X7,X5),multiply(X7,additive_inverse(X5))),
    inference(forward_demodulation,[],[f9544,f8]) ).

fof(f9544,plain,
    ! [X6,X7,X5] : add(multiply(X7,multiply(X5,X6)),multiply(X7,multiply(additive_inverse(X5),X6))) = multiply(X7,add(X5,additive_inverse(X5))),
    inference(superposition,[],[f8,f32]) ).

fof(f14900,plain,
    ! [X11,X12] : add(multiply(additive_inverse(X11),additive_inverse(X11)),multiply(additive_inverse(X11),X11)) = add(associator(additive_inverse(X11),X11,X12),add(multiply(additive_inverse(X11),multiply(X11,X12)),multiply(additive_inverse(X11),multiply(additive_inverse(X11),X12)))),
    inference(forward_demodulation,[],[f14899,f11]) ).

fof(f14899,plain,
    ! [X11,X12] : add(multiply(additive_inverse(X11),additive_inverse(X11)),multiply(additive_inverse(X11),X11)) = add(add(associator(additive_inverse(X11),X11,X12),multiply(additive_inverse(X11),multiply(X11,X12))),multiply(additive_inverse(X11),multiply(additive_inverse(X11),X12))),
    inference(forward_demodulation,[],[f14898,f10]) ).

fof(f14898,plain,
    ! [X11,X12] : add(multiply(additive_inverse(X11),additive_inverse(X11)),multiply(additive_inverse(X11),X11)) = add(multiply(additive_inverse(X11),multiply(additive_inverse(X11),X12)),add(associator(additive_inverse(X11),X11,X12),multiply(additive_inverse(X11),multiply(X11,X12)))),
    inference(forward_demodulation,[],[f14897,f3531]) ).

fof(f14897,plain,
    ! [X11,X12] : add(multiply(additive_inverse(X11),additive_inverse(X11)),multiply(additive_inverse(X11),X11)) = add(multiply(additive_inverse(X11),multiply(additive_inverse(X11),X12)),multiply(multiply(additive_inverse(X11),X11),X12)),
    inference(forward_demodulation,[],[f14896,f5410]) ).

fof(f5410,plain,
    ! [X6,X7,X5] : add(associator(X6,X6,X7),X5) = X5,
    inference(superposition,[],[f5390,f10]) ).

fof(f14896,plain,
    ! [X11,X12] : add(multiply(additive_inverse(X11),additive_inverse(X11)),multiply(additive_inverse(X11),X11)) = add(associator(additive_inverse(X11),additive_inverse(X11),X12),add(multiply(additive_inverse(X11),multiply(additive_inverse(X11),X12)),multiply(multiply(additive_inverse(X11),X11),X12))),
    inference(forward_demodulation,[],[f14895,f11]) ).

fof(f14895,plain,
    ! [X11,X12] : add(multiply(additive_inverse(X11),additive_inverse(X11)),multiply(additive_inverse(X11),X11)) = add(add(associator(additive_inverse(X11),additive_inverse(X11),X12),multiply(additive_inverse(X11),multiply(additive_inverse(X11),X12))),multiply(multiply(additive_inverse(X11),X11),X12)),
    inference(forward_demodulation,[],[f14894,f10]) ).

fof(f14894,plain,
    ! [X11,X12] : add(multiply(additive_inverse(X11),additive_inverse(X11)),multiply(additive_inverse(X11),X11)) = add(multiply(multiply(additive_inverse(X11),X11),X12),add(associator(additive_inverse(X11),additive_inverse(X11),X12),multiply(additive_inverse(X11),multiply(additive_inverse(X11),X12)))),
    inference(forward_demodulation,[],[f14893,f3531]) ).

fof(f14893,plain,
    ! [X11,X12] : add(multiply(additive_inverse(X11),additive_inverse(X11)),multiply(additive_inverse(X11),X11)) = add(multiply(multiply(additive_inverse(X11),X11),X12),multiply(multiply(additive_inverse(X11),additive_inverse(X11)),X12)),
    inference(forward_demodulation,[],[f14892,f10]) ).

fof(f14892,plain,
    ! [X11,X12] : add(multiply(additive_inverse(X11),additive_inverse(X11)),multiply(additive_inverse(X11),X11)) = add(multiply(multiply(additive_inverse(X11),additive_inverse(X11)),X12),multiply(multiply(additive_inverse(X11),X11),X12)),
    inference(forward_demodulation,[],[f14724,f9]) ).

fof(f14724,plain,
    ! [X11,X12] : add(multiply(additive_inverse(X11),additive_inverse(X11)),multiply(additive_inverse(X11),X11)) = multiply(add(multiply(additive_inverse(X11),additive_inverse(X11)),multiply(additive_inverse(X11),X11)),X12),
    inference(superposition,[],[f1281,f7141]) ).

fof(f7141,plain,
    ! [X8,X7] : commutator(X8,additive_inverse(X7)) = add(multiply(additive_inverse(X7),X8),multiply(X8,X7)),
    inference(superposition,[],[f6128,f7]) ).

fof(f1281,plain,
    ! [X4,X5] : commutator(X4,X4) = multiply(commutator(X4,X4),X5),
    inference(superposition,[],[f3,f1233]) ).

fof(f1233,plain,
    ! [X6] : additive_identity = commutator(X6,X6),
    inference(superposition,[],[f15,f6]) ).

fof(f3607,plain,
    ! [X11,X14,X12,X13] : associator(add(X11,X12),X13,X14) = add(associator(X11,X13,X14),associator(X12,X13,X14)),
    inference(forward_demodulation,[],[f3606,f107]) ).

fof(f3606,plain,
    ! [X11,X14,X12,X13] : associator(add(X11,X12),X13,X14) = add(associator(X11,X13,X14),add(multiply(X11,multiply(X13,X14)),add(associator(X12,X13,X14),additive_inverse(multiply(X11,multiply(X13,X14)))))),
    inference(forward_demodulation,[],[f3605,f11]) ).

fof(f3605,plain,
    ! [X11,X14,X12,X13] : associator(add(X11,X12),X13,X14) = add(add(associator(X11,X13,X14),multiply(X11,multiply(X13,X14))),add(associator(X12,X13,X14),additive_inverse(multiply(X11,multiply(X13,X14))))),
    inference(forward_demodulation,[],[f3604,f3531]) ).

fof(f3604,plain,
    ! [X11,X14,X12,X13] : associator(add(X11,X12),X13,X14) = add(multiply(multiply(X11,X13),X14),add(associator(X12,X13,X14),additive_inverse(multiply(X11,multiply(X13,X14))))),
    inference(forward_demodulation,[],[f3603,f52]) ).

fof(f3603,plain,
    ! [X11,X14,X12,X13] : associator(add(X11,X12),X13,X14) = add(multiply(multiply(X11,X13),X14),add(associator(X12,X13,X14),add(multiply(X12,multiply(X13,X14)),add(additive_inverse(multiply(X12,multiply(X13,X14))),additive_inverse(multiply(X11,multiply(X13,X14))))))),
    inference(forward_demodulation,[],[f3545,f11]) ).

fof(f3545,plain,
    ! [X11,X14,X12,X13] : associator(add(X11,X12),X13,X14) = add(multiply(multiply(X11,X13),X14),add(add(associator(X12,X13,X14),multiply(X12,multiply(X13,X14))),add(additive_inverse(multiply(X12,multiply(X13,X14))),additive_inverse(multiply(X11,multiply(X13,X14)))))),
    inference(backward_demodulation,[],[f3470,f3531]) ).

fof(f3470,plain,
    ! [X11,X14,X12,X13] : associator(add(X11,X12),X13,X14) = add(multiply(multiply(X11,X13),X14),add(multiply(multiply(X12,X13),X14),add(additive_inverse(multiply(X12,multiply(X13,X14))),additive_inverse(multiply(X11,multiply(X13,X14)))))),
    inference(forward_demodulation,[],[f3469,f11]) ).

fof(f3469,plain,
    ! [X11,X14,X12,X13] : associator(add(X11,X12),X13,X14) = add(add(multiply(multiply(X11,X13),X14),multiply(multiply(X12,X13),X14)),add(additive_inverse(multiply(X12,multiply(X13,X14))),additive_inverse(multiply(X11,multiply(X13,X14))))),
    inference(forward_demodulation,[],[f3468,f9]) ).

fof(f3468,plain,
    ! [X11,X14,X12,X13] : associator(add(X11,X12),X13,X14) = add(multiply(add(multiply(X11,X13),multiply(X12,X13)),X14),add(additive_inverse(multiply(X12,multiply(X13,X14))),additive_inverse(multiply(X11,multiply(X13,X14))))),
    inference(forward_demodulation,[],[f3467,f241]) ).

fof(f3467,plain,
    ! [X11,X14,X12,X13] : associator(add(X11,X12),X13,X14) = add(multiply(add(multiply(X11,X13),multiply(X12,X13)),X14),additive_inverse(add(multiply(X11,multiply(X13,X14)),multiply(X12,multiply(X13,X14))))),
    inference(forward_demodulation,[],[f3411,f9]) ).

fof(f3411,plain,
    ! [X11,X14,X12,X13] : associator(add(X11,X12),X13,X14) = add(multiply(add(multiply(X11,X13),multiply(X12,X13)),X14),additive_inverse(multiply(add(X11,X12),multiply(X13,X14)))),
    inference(superposition,[],[f14,f9]) ).

fof(f40011,plain,
    ! [X224,X222,X223] : associator(add(X222,X223),additive_inverse(X222),X224) = associator(X222,X223,X224),
    inference(forward_demodulation,[],[f39803,f17145]) ).

fof(f17145,plain,
    ! [X3,X4,X5] : associator(X5,X3,X4) = associator(add(X5,X3),X3,X4),
    inference(forward_demodulation,[],[f17005,f2]) ).

fof(f17005,plain,
    ! [X3,X4,X5] : associator(add(X5,X3),X3,X4) = add(associator(X5,X3,X4),additive_identity),
    inference(superposition,[],[f3607,f5412]) ).

fof(f39803,plain,
    ! [X224,X222,X223] : associator(add(X222,X223),additive_inverse(X222),X224) = associator(add(X222,X223),X223,X224),
    inference(superposition,[],[f15742,f34]) ).

fof(f15742,plain,
    ! [X3,X4,X5] : associator(X3,X5,X4) = associator(X3,add(X5,X3),X4),
    inference(forward_demodulation,[],[f15621,f2]) ).

fof(f15621,plain,
    ! [X3,X4,X5] : associator(X3,add(X5,X3),X4) = add(associator(X3,X5,X4),additive_identity),
    inference(superposition,[],[f3602,f5412]) ).

fof(f239292,plain,
    ! [X170,X171,X169] : additive_inverse(associator(X170,X169,X171)) = associator(add(X169,X170),X170,X171),
    inference(forward_demodulation,[],[f239291,f5410]) ).

fof(f239291,plain,
    ! [X170,X171,X169] : associator(add(X169,X170),X170,X171) = add(associator(X169,X169,X171),additive_inverse(associator(X170,X169,X171))),
    inference(forward_demodulation,[],[f239290,f10]) ).

fof(f239290,plain,
    ! [X170,X171,X169] : associator(add(X169,X170),X170,X171) = add(additive_inverse(associator(X170,X169,X171)),associator(X169,X169,X171)),
    inference(forward_demodulation,[],[f239289,f5477]) ).

fof(f5477,plain,
    ! [X18,X19] : associator(X18,X18,X19) = additive_inverse(associator(X18,X18,X19)),
    inference(superposition,[],[f19,f5412]) ).

fof(f239289,plain,
    ! [X170,X171,X169] : associator(add(X169,X170),X170,X171) = add(additive_inverse(associator(X170,X169,X171)),additive_inverse(associator(X169,X169,X171))),
    inference(forward_demodulation,[],[f239288,f17070]) ).

fof(f17070,plain,
    ! [X58,X59,X60,X61] : add(additive_inverse(associator(X61,X59,X60)),additive_inverse(associator(X58,X59,X60))) = additive_inverse(associator(add(X58,X61),X59,X60)),
    inference(superposition,[],[f241,f3607]) ).

fof(f239288,plain,
    ! [X170,X171,X169] : associator(add(X169,X170),X170,X171) = additive_inverse(associator(add(X169,X170),X169,X171)),
    inference(forward_demodulation,[],[f238354,f2]) ).

fof(f238354,plain,
    ! [X170,X171,X169] : associator(add(X169,X170),X170,X171) = add(additive_inverse(associator(add(X169,X170),X169,X171)),additive_identity),
    inference(superposition,[],[f15671,f5412]) ).

fof(f15671,plain,
    ! [X38,X36,X37,X35] : associator(X35,X38,X37) = add(additive_inverse(associator(X35,X36,X37)),associator(X35,add(X36,X38),X37)),
    inference(superposition,[],[f34,f3602]) ).

fof(f34459,plain,
    ! [X31,X32,X33] : multiply(X31,associator(X31,X32,X33)) = add(associator(multiply(X31,X31),X32,X33),additive_inverse(associator(X31,multiply(X31,X32),X33))),
    inference(forward_demodulation,[],[f33935,f10]) ).

fof(f33935,plain,
    ! [X31,X32,X33] : multiply(X31,associator(X31,X32,X33)) = add(additive_inverse(associator(X31,multiply(X31,X32),X33)),associator(multiply(X31,X31),X32,X33)),
    inference(superposition,[],[f34,f3632]) ).

fof(f3632,plain,
    ! [X18,X19,X20] : associator(multiply(X18,X18),X19,X20) = add(associator(X18,multiply(X18,X19),X20),multiply(X18,associator(X18,X19,X20))),
    inference(forward_demodulation,[],[f3631,f33]) ).

fof(f3631,plain,
    ! [X18,X19,X20] : associator(multiply(X18,X18),X19,X20) = add(associator(X18,multiply(X18,X19),X20),add(multiply(X18,associator(X18,X19,X20)),add(multiply(X18,multiply(X18,multiply(X19,X20))),additive_inverse(multiply(X18,multiply(X18,multiply(X19,X20))))))),
    inference(forward_demodulation,[],[f3630,f11]) ).

fof(f3630,plain,
    ! [X18,X19,X20] : associator(multiply(X18,X18),X19,X20) = add(associator(X18,multiply(X18,X19),X20),add(add(multiply(X18,associator(X18,X19,X20)),multiply(X18,multiply(X18,multiply(X19,X20)))),additive_inverse(multiply(X18,multiply(X18,multiply(X19,X20)))))),
    inference(forward_demodulation,[],[f3629,f8]) ).

fof(f3629,plain,
    ! [X18,X19,X20] : associator(multiply(X18,X18),X19,X20) = add(associator(X18,multiply(X18,X19),X20),add(multiply(X18,add(associator(X18,X19,X20),multiply(X18,multiply(X19,X20)))),additive_inverse(multiply(X18,multiply(X18,multiply(X19,X20)))))),
    inference(forward_demodulation,[],[f3628,f3531]) ).

fof(f3628,plain,
    ! [X18,X19,X20] : associator(multiply(X18,X18),X19,X20) = add(associator(X18,multiply(X18,X19),X20),add(multiply(X18,multiply(multiply(X18,X19),X20)),additive_inverse(multiply(X18,multiply(X18,multiply(X19,X20)))))),
    inference(forward_demodulation,[],[f3550,f11]) ).

fof(f3550,plain,
    ! [X18,X19,X20] : associator(multiply(X18,X18),X19,X20) = add(add(associator(X18,multiply(X18,X19),X20),multiply(X18,multiply(multiply(X18,X19),X20))),additive_inverse(multiply(X18,multiply(X18,multiply(X19,X20))))),
    inference(backward_demodulation,[],[f3471,f3531]) ).

fof(f3471,plain,
    ! [X18,X19,X20] : associator(multiply(X18,X18),X19,X20) = add(multiply(multiply(X18,multiply(X18,X19)),X20),additive_inverse(multiply(X18,multiply(X18,multiply(X19,X20))))),
    inference(forward_demodulation,[],[f3413,f13]) ).

fof(f3413,plain,
    ! [X18,X19,X20] : associator(multiply(X18,X18),X19,X20) = add(multiply(multiply(X18,multiply(X18,X19)),X20),additive_inverse(multiply(multiply(X18,X18),multiply(X19,X20)))),
    inference(superposition,[],[f14,f13]) ).

fof(f55622,plain,
    ! [X10,X11,X12] : add(associator(multiply(X10,X10),X11,X12),multiply(X10,associator(X10,X12,X11))) = associator(X10,X12,multiply(additive_inverse(X10),X11)),
    inference(forward_demodulation,[],[f55347,f54849]) ).

fof(f54849,plain,
    ! [X315,X314,X313] : associator(additive_inverse(X314),X313,X315) = associator(X314,X315,X313),
    inference(superposition,[],[f52524,f39979]) ).

fof(f39979,plain,
    ! [X11,X12,X13] : associator(X12,X11,X13) = associator(additive_inverse(X11),X12,X13),
    inference(forward_demodulation,[],[f39978,f17168]) ).

fof(f17168,plain,
    ! [X90,X89,X92] : associator(X92,X89,X90) = associator(add(X92,additive_inverse(X89)),X89,X90),
    inference(forward_demodulation,[],[f17026,f33]) ).

fof(f17026,plain,
    ! [X90,X91,X89,X92] : associator(add(X92,additive_inverse(X89)),X89,X90) = add(associator(X92,X89,X90),add(X91,additive_inverse(X91))),
    inference(superposition,[],[f3607,f15102]) ).

fof(f15102,plain,
    ! [X2,X3,X4] : add(X3,additive_inverse(X3)) = associator(additive_inverse(X2),X2,X4),
    inference(superposition,[],[f14904,f26]) ).

fof(f26,plain,
    ! [X0,X1] : add(X0,additive_inverse(X0)) = add(X1,additive_inverse(X1)),
    inference(forward_demodulation,[],[f25,f10]) ).

fof(f25,plain,
    ! [X0,X1] : add(additive_inverse(X0),X0) = add(X1,additive_inverse(X1)),
    inference(forward_demodulation,[],[f17,f10]) ).

fof(f17,plain,
    ! [X0,X1] : add(additive_inverse(X0),X0) = add(additive_inverse(X1),X1),
    inference(superposition,[],[f5,f5]) ).

fof(f39978,plain,
    ! [X11,X12,X13] : associator(additive_inverse(X11),X12,X13) = associator(add(X12,additive_inverse(X11)),X11,X13),
    inference(forward_demodulation,[],[f39756,f17084]) ).

fof(f17084,plain,
    ! [X3,X4,X5] : associator(add(X3,X5),X3,X4) = associator(X5,X3,X4),
    inference(forward_demodulation,[],[f16966,f1]) ).

fof(f16966,plain,
    ! [X3,X4,X5] : associator(add(X3,X5),X3,X4) = add(additive_identity,associator(X5,X3,X4)),
    inference(superposition,[],[f3607,f5412]) ).

fof(f39756,plain,
    ! [X11,X12,X13] : associator(add(X12,additive_inverse(X11)),X11,X13) = associator(add(X12,additive_inverse(X11)),X12,X13),
    inference(superposition,[],[f15742,f107]) ).

fof(f55347,plain,
    ! [X10,X11,X12] : associator(additive_inverse(X10),multiply(additive_inverse(X10),X11),X12) = add(associator(multiply(X10,X10),X11,X12),multiply(X10,associator(X10,X12,X11))),
    inference(backward_demodulation,[],[f34451,f54849]) ).

fof(f34451,plain,
    ! [X10,X11,X12] : associator(additive_inverse(X10),multiply(additive_inverse(X10),X11),X12) = add(associator(multiply(X10,X10),X11,X12),multiply(X10,associator(additive_inverse(X10),X11,X12))),
    inference(forward_demodulation,[],[f34450,f10]) ).

fof(f34450,plain,
    ! [X10,X11,X12] : associator(additive_inverse(X10),multiply(additive_inverse(X10),X11),X12) = add(multiply(X10,associator(additive_inverse(X10),X11,X12)),associator(multiply(X10,X10),X11,X12)),
    inference(forward_demodulation,[],[f33931,f9611]) ).

fof(f33931,plain,
    ! [X10,X11,X12] : associator(additive_inverse(X10),multiply(additive_inverse(X10),X11),X12) = add(multiply(X10,associator(additive_inverse(X10),X11,X12)),associator(multiply(additive_inverse(X10),additive_inverse(X10)),X11,X12)),
    inference(superposition,[],[f9650,f3632]) ).

fof(f9650,plain,
    ! [X34,X35,X33] : add(multiply(X33,X34),add(X35,multiply(additive_inverse(X33),X34))) = X35,
    inference(forward_demodulation,[],[f9553,f33]) ).

fof(f9553,plain,
    ! [X34,X35,X33] : add(X35,add(X33,additive_inverse(X33))) = add(multiply(X33,X34),add(X35,multiply(additive_inverse(X33),X34))),
    inference(superposition,[],[f302,f32]) ).

fof(f252523,plain,
    add(associator(x,multiply(additive_inverse(x),y),z),add(associator(x,multiply(y,x),z),add(associator(x,multiply(y,additive_inverse(x)),z),add(associator(multiply(x,x),y,z),multiply(x,multiply(y,multiply(z,x))))))) != add(associator(multiply(x,x),z,additive_inverse(y)),add(associator(x,additive_inverse(y),multiply(x,z)),multiply(x,multiply(y,multiply(z,x))))),
    inference(forward_demodulation,[],[f252522,f11]) ).

fof(f252522,plain,
    add(associator(x,multiply(additive_inverse(x),y),z),add(associator(x,multiply(y,x),z),add(associator(x,multiply(y,additive_inverse(x)),z),add(associator(multiply(x,x),y,z),multiply(x,multiply(y,multiply(z,x))))))) != add(add(associator(multiply(x,x),z,additive_inverse(y)),associator(x,additive_inverse(y),multiply(x,z))),multiply(x,multiply(y,multiply(z,x)))),
    inference(forward_demodulation,[],[f252521,f239359]) ).

fof(f252521,plain,
    add(associator(x,multiply(additive_inverse(x),y),z),add(associator(x,multiply(y,x),z),add(associator(x,multiply(y,additive_inverse(x)),z),add(associator(multiply(x,x),y,z),multiply(x,multiply(y,multiply(z,x))))))) != add(multiply(x,associator(x,z,additive_inverse(y))),multiply(x,multiply(y,multiply(z,x)))),
    inference(forward_demodulation,[],[f252520,f54849]) ).

fof(f252520,plain,
    add(associator(x,multiply(additive_inverse(x),y),z),add(associator(x,multiply(y,x),z),add(associator(x,multiply(y,additive_inverse(x)),z),add(associator(multiply(x,x),y,z),multiply(x,multiply(y,multiply(z,x))))))) != add(multiply(x,associator(additive_inverse(x),additive_inverse(y),z)),multiply(x,multiply(y,multiply(z,x)))),
    inference(forward_demodulation,[],[f252519,f40012]) ).

fof(f252519,plain,
    add(associator(x,multiply(additive_inverse(x),y),z),add(associator(x,multiply(y,x),z),add(associator(x,multiply(y,additive_inverse(x)),z),add(associator(multiply(x,x),y,z),multiply(x,multiply(y,multiply(z,x))))))) != add(multiply(x,associator(y,additive_inverse(x),z)),multiply(x,multiply(y,multiply(z,x)))),
    inference(forward_demodulation,[],[f252518,f41503]) ).

fof(f252518,plain,
    add(multiply(x,associator(y,z,x)),multiply(x,multiply(y,multiply(z,x)))) != add(associator(x,multiply(additive_inverse(x),y),z),add(associator(x,multiply(y,x),z),add(associator(x,multiply(y,additive_inverse(x)),z),add(associator(multiply(x,x),y,z),multiply(x,multiply(y,multiply(z,x))))))),
    inference(forward_demodulation,[],[f252517,f15670]) ).

fof(f252517,plain,
    add(multiply(x,associator(y,z,x)),multiply(x,multiply(y,multiply(z,x)))) != add(associator(x,add(multiply(additive_inverse(x),y),multiply(y,x)),z),add(associator(x,multiply(y,additive_inverse(x)),z),add(associator(multiply(x,x),y,z),multiply(x,multiply(y,multiply(z,x)))))),
    inference(forward_demodulation,[],[f252516,f302]) ).

fof(f252516,plain,
    add(multiply(x,associator(y,z,x)),multiply(x,multiply(y,multiply(z,x)))) != add(associator(x,multiply(y,additive_inverse(x)),z),add(associator(x,add(multiply(additive_inverse(x),y),multiply(y,x)),z),add(associator(multiply(x,x),y,z),multiply(x,multiply(y,multiply(z,x)))))),
    inference(forward_demodulation,[],[f252515,f87874]) ).

fof(f252515,plain,
    add(multiply(x,associator(y,z,x)),multiply(x,multiply(y,multiply(z,x)))) != add(associator(x,multiply(y,additive_inverse(x)),z),add(associator(x,commutator(x,y),z),add(associator(multiply(x,x),y,z),multiply(x,multiply(y,multiply(z,x)))))),
    inference(forward_demodulation,[],[f252514,f15670]) ).

fof(f252514,plain,
    add(multiply(x,associator(y,z,x)),multiply(x,multiply(y,multiply(z,x)))) != add(associator(x,add(multiply(y,additive_inverse(x)),commutator(x,y)),z),add(associator(multiply(x,x),y,z),multiply(x,multiply(y,multiply(z,x))))),
    inference(forward_demodulation,[],[f252513,f87908]) ).

fof(f252513,plain,
    add(multiply(x,associator(y,z,x)),multiply(x,multiply(y,multiply(z,x)))) != add(associator(x,multiply(x,additive_inverse(y)),z),add(associator(multiply(x,x),y,z),multiply(x,multiply(y,multiply(z,x))))),
    inference(forward_demodulation,[],[f252512,f6127]) ).

fof(f252512,plain,
    add(multiply(x,associator(y,z,x)),multiply(x,multiply(y,multiply(z,x)))) != add(associator(x,additive_inverse(multiply(x,y)),z),add(associator(multiply(x,x),y,z),multiply(x,multiply(y,multiply(z,x))))),
    inference(forward_demodulation,[],[f252511,f41472]) ).

fof(f252511,plain,
    add(multiply(x,associator(y,z,x)),multiply(x,multiply(y,multiply(z,x)))) != add(associator(x,additive_inverse(multiply(x,y)),z),add(associator(multiply(x,x),z,additive_inverse(y)),multiply(x,multiply(y,multiply(z,x))))),
    inference(forward_demodulation,[],[f252510,f54849]) ).

fof(f252510,plain,
    add(multiply(x,associator(y,z,x)),multiply(x,multiply(y,multiply(z,x)))) != add(associator(x,additive_inverse(multiply(x,y)),z),add(associator(additive_inverse(multiply(x,x)),additive_inverse(y),z),multiply(x,multiply(y,multiply(z,x))))),
    inference(forward_demodulation,[],[f252509,f40012]) ).

fof(f252509,plain,
    add(multiply(x,associator(y,z,x)),multiply(x,multiply(y,multiply(z,x)))) != add(associator(x,additive_inverse(multiply(x,y)),z),add(associator(y,additive_inverse(multiply(x,x)),z),multiply(x,multiply(y,multiply(z,x))))),
    inference(forward_demodulation,[],[f252508,f41503]) ).

fof(f252508,plain,
    add(multiply(x,associator(y,z,x)),multiply(x,multiply(y,multiply(z,x)))) != add(associator(x,additive_inverse(multiply(x,y)),z),add(associator(y,z,multiply(x,x)),multiply(x,multiply(y,multiply(z,x))))),
    inference(forward_demodulation,[],[f252507,f302]) ).

fof(f252507,plain,
    add(multiply(x,associator(y,z,x)),multiply(x,multiply(y,multiply(z,x)))) != add(associator(y,z,multiply(x,x)),add(associator(x,additive_inverse(multiply(x,y)),z),multiply(x,multiply(y,multiply(z,x))))),
    inference(forward_demodulation,[],[f252506,f40012]) ).

fof(f252506,plain,
    add(multiply(x,associator(y,z,x)),multiply(x,multiply(y,multiply(z,x)))) != add(associator(y,z,multiply(x,x)),add(associator(multiply(x,y),x,z),multiply(x,multiply(y,multiply(z,x))))),
    inference(forward_demodulation,[],[f252505,f41472]) ).

fof(f252505,plain,
    add(multiply(x,associator(y,z,x)),multiply(x,multiply(y,multiply(z,x)))) != add(associator(y,z,multiply(x,x)),add(associator(multiply(x,y),z,additive_inverse(x)),multiply(x,multiply(y,multiply(z,x))))),
    inference(forward_demodulation,[],[f252504,f52081]) ).

fof(f52081,plain,
    ! [X363,X365,X364] : associator(X364,X363,additive_inverse(X365)) = associator(X363,X365,additive_inverse(X364)),
    inference(superposition,[],[f41472,f40012]) ).

fof(f252504,plain,
    add(multiply(x,associator(y,z,x)),multiply(x,multiply(y,multiply(z,x)))) != add(associator(y,z,multiply(x,x)),add(associator(z,x,additive_inverse(multiply(x,y))),multiply(x,multiply(y,multiply(z,x))))),
    inference(forward_demodulation,[],[f252503,f302]) ).

fof(f252503,plain,
    add(multiply(x,associator(y,z,x)),multiply(x,multiply(y,multiply(z,x)))) != add(associator(z,x,additive_inverse(multiply(x,y))),add(associator(y,z,multiply(x,x)),multiply(x,multiply(y,multiply(z,x))))),
    inference(forward_demodulation,[],[f252502,f52524]) ).

fof(f252502,plain,
    add(multiply(x,associator(y,z,x)),multiply(x,multiply(y,multiply(z,x)))) != add(associator(z,x,additive_inverse(multiply(x,y))),add(associator(z,multiply(x,x),y),multiply(x,multiply(y,multiply(z,x))))),
    inference(forward_demodulation,[],[f252501,f302]) ).

fof(f252501,plain,
    add(multiply(x,associator(y,z,x)),multiply(x,multiply(y,multiply(z,x)))) != add(associator(z,multiply(x,x),y),add(associator(z,x,additive_inverse(multiply(x,y))),multiply(x,multiply(y,multiply(z,x))))),
    inference(forward_demodulation,[],[f252500,f41472]) ).

fof(f252500,plain,
    add(multiply(x,associator(y,z,x)),multiply(x,multiply(y,multiply(z,x)))) != add(associator(z,multiply(x,x),y),add(associator(z,multiply(x,y),x),multiply(x,multiply(y,multiply(z,x))))),
    inference(forward_demodulation,[],[f252067,f11]) ).

fof(f252067,plain,
    add(multiply(x,associator(y,z,x)),multiply(x,multiply(y,multiply(z,x)))) != add(add(associator(z,multiply(x,x),y),associator(z,multiply(x,y),x)),multiply(x,multiply(y,multiply(z,x)))),
    inference(superposition,[],[f19892,f239428]) ).

fof(f239428,plain,
    ! [X16,X17,X15] : add(associator(X15,multiply(X16,X16),X17),associator(X15,multiply(X16,X17),X16)) = associator(X16,X17,multiply(X15,X16)),
    inference(forward_demodulation,[],[f239334,f52524]) ).

fof(f239334,plain,
    ! [X16,X17,X15] : associator(multiply(X15,X16),X16,X17) = add(associator(X15,multiply(X16,X16),X17),associator(X15,multiply(X16,X17),X16)),
    inference(backward_demodulation,[],[f5514,f239294]) ).

fof(f5514,plain,
    ! [X16,X17,X15] : associator(multiply(X15,X16),X16,X17) = add(associator(X15,multiply(X16,X16),X17),additive_inverse(associator(X15,X16,multiply(X16,X17)))),
    inference(forward_demodulation,[],[f5509,f5410]) ).

fof(f5509,plain,
    ! [X16,X17,X15] : associator(multiply(X15,X16),X16,X17) = add(associator(X15,multiply(X16,X16),X17),add(associator(X16,X16,X17),additive_inverse(associator(X15,X16,multiply(X16,X17))))),
    inference(backward_demodulation,[],[f3627,f5474]) ).

fof(f5474,plain,
    ! [X10,X11,X9] : associator(X9,X9,X10) = multiply(X11,associator(X9,X9,X10)),
    inference(superposition,[],[f4,f5412]) ).

fof(f3627,plain,
    ! [X16,X17,X15] : associator(multiply(X15,X16),X16,X17) = add(associator(X15,multiply(X16,X16),X17),add(multiply(X15,associator(X16,X16,X17)),additive_inverse(associator(X15,X16,multiply(X16,X17))))),
    inference(forward_demodulation,[],[f3626,f107]) ).

fof(f3626,plain,
    ! [X16,X17,X15] : associator(multiply(X15,X16),X16,X17) = add(associator(X15,multiply(X16,X16),X17),add(multiply(X15,associator(X16,X16,X17)),add(multiply(X15,multiply(X16,multiply(X16,X17))),add(additive_inverse(associator(X15,X16,multiply(X16,X17))),additive_inverse(multiply(X15,multiply(X16,multiply(X16,X17)))))))),
    inference(forward_demodulation,[],[f3625,f11]) ).

fof(f3625,plain,
    ! [X16,X17,X15] : associator(multiply(X15,X16),X16,X17) = add(associator(X15,multiply(X16,X16),X17),add(add(multiply(X15,associator(X16,X16,X17)),multiply(X15,multiply(X16,multiply(X16,X17)))),add(additive_inverse(associator(X15,X16,multiply(X16,X17))),additive_inverse(multiply(X15,multiply(X16,multiply(X16,X17))))))),
    inference(forward_demodulation,[],[f3624,f8]) ).

fof(f3624,plain,
    ! [X16,X17,X15] : associator(multiply(X15,X16),X16,X17) = add(associator(X15,multiply(X16,X16),X17),add(multiply(X15,add(associator(X16,X16,X17),multiply(X16,multiply(X16,X17)))),add(additive_inverse(associator(X15,X16,multiply(X16,X17))),additive_inverse(multiply(X15,multiply(X16,multiply(X16,X17))))))),
    inference(forward_demodulation,[],[f3623,f3531]) ).

fof(f3623,plain,
    ! [X16,X17,X15] : associator(multiply(X15,X16),X16,X17) = add(associator(X15,multiply(X16,X16),X17),add(multiply(X15,multiply(multiply(X16,X16),X17)),add(additive_inverse(associator(X15,X16,multiply(X16,X17))),additive_inverse(multiply(X15,multiply(X16,multiply(X16,X17))))))),
    inference(forward_demodulation,[],[f3622,f538]) ).

fof(f3622,plain,
    ! [X16,X17,X15] : associator(multiply(X15,X16),X16,X17) = add(multiply(X15,multiply(multiply(X16,X16),X17)),add(additive_inverse(associator(X15,X16,multiply(X16,X17))),add(associator(X15,multiply(X16,X16),X17),additive_inverse(multiply(X15,multiply(X16,multiply(X16,X17))))))),
    inference(forward_demodulation,[],[f3621,f302]) ).

fof(f3621,plain,
    ! [X16,X17,X15] : associator(multiply(X15,X16),X16,X17) = add(additive_inverse(associator(X15,X16,multiply(X16,X17))),add(multiply(X15,multiply(multiply(X16,X16),X17)),add(associator(X15,multiply(X16,X16),X17),additive_inverse(multiply(X15,multiply(X16,multiply(X16,X17))))))),
    inference(forward_demodulation,[],[f3620,f539]) ).

fof(f539,plain,
    ! [X21,X18,X19,X20] : add(X21,add(X20,add(X18,X19))) = add(X19,add(X20,add(X21,X18))),
    inference(forward_demodulation,[],[f458,f11]) ).

fof(f458,plain,
    ! [X21,X18,X19,X20] : add(add(X19,X20),add(X21,X18)) = add(X21,add(X20,add(X18,X19))),
    inference(superposition,[],[f280,f280]) ).

fof(f3620,plain,
    ! [X16,X17,X15] : associator(multiply(X15,X16),X16,X17) = add(associator(X15,multiply(X16,X16),X17),add(multiply(X15,multiply(multiply(X16,X16),X17)),add(additive_inverse(multiply(X15,multiply(X16,multiply(X16,X17)))),additive_inverse(associator(X15,X16,multiply(X16,X17)))))),
    inference(forward_demodulation,[],[f3619,f241]) ).

fof(f3619,plain,
    ! [X16,X17,X15] : associator(multiply(X15,X16),X16,X17) = add(associator(X15,multiply(X16,X16),X17),add(multiply(X15,multiply(multiply(X16,X16),X17)),additive_inverse(add(associator(X15,X16,multiply(X16,X17)),multiply(X15,multiply(X16,multiply(X16,X17))))))),
    inference(forward_demodulation,[],[f3618,f3531]) ).

fof(f3618,plain,
    ! [X16,X17,X15] : associator(multiply(X15,X16),X16,X17) = add(associator(X15,multiply(X16,X16),X17),add(multiply(X15,multiply(multiply(X16,X16),X17)),additive_inverse(multiply(multiply(X15,X16),multiply(X16,X17))))),
    inference(forward_demodulation,[],[f3549,f11]) ).

fof(f3549,plain,
    ! [X16,X17,X15] : associator(multiply(X15,X16),X16,X17) = add(add(associator(X15,multiply(X16,X16),X17),multiply(X15,multiply(multiply(X16,X16),X17))),additive_inverse(multiply(multiply(X15,X16),multiply(X16,X17)))),
    inference(backward_demodulation,[],[f3412,f3531]) ).

fof(f3412,plain,
    ! [X16,X17,X15] : associator(multiply(X15,X16),X16,X17) = add(multiply(multiply(X15,multiply(X16,X16)),X17),additive_inverse(multiply(multiply(X15,X16),multiply(X16,X17)))),
    inference(superposition,[],[f14,f12]) ).

fof(f19892,plain,
    add(multiply(x,associator(y,z,x)),multiply(x,multiply(y,multiply(z,x)))) != add(associator(x,y,multiply(z,x)),multiply(x,multiply(y,multiply(z,x)))),
    inference(backward_demodulation,[],[f3555,f19891]) ).

fof(f19891,plain,
    ! [X3,X4,X5] : add(associator(X3,X4,X3),X5) = X5,
    inference(forward_demodulation,[],[f19890,f4689]) ).

fof(f19890,plain,
    ! [X3,X4,X5] : add(associator(X3,X4,X3),add(associator(X3,X4,X4),X5)) = X5,
    inference(forward_demodulation,[],[f19809,f18693]) ).

fof(f19809,plain,
    ! [X3,X4,X5] : add(associator(X3,X4,add(X3,X4)),X5) = X5,
    inference(superposition,[],[f4689,f15687]) ).

fof(f3555,plain,
    add(multiply(x,associator(y,z,x)),add(associator(x,multiply(y,z),x),multiply(x,multiply(y,multiply(z,x))))) != add(associator(x,y,multiply(z,x)),multiply(x,multiply(y,multiply(z,x)))),
    inference(forward_demodulation,[],[f3554,f3531]) ).

fof(f3554,plain,
    multiply(multiply(x,y),multiply(z,x)) != add(multiply(x,associator(y,z,x)),add(associator(x,multiply(y,z),x),multiply(x,multiply(y,multiply(z,x))))),
    inference(forward_demodulation,[],[f3553,f302]) ).

fof(f3553,plain,
    multiply(multiply(x,y),multiply(z,x)) != add(associator(x,multiply(y,z),x),add(multiply(x,associator(y,z,x)),multiply(x,multiply(y,multiply(z,x))))),
    inference(forward_demodulation,[],[f3552,f8]) ).

fof(f3552,plain,
    multiply(multiply(x,y),multiply(z,x)) != add(associator(x,multiply(y,z),x),multiply(x,add(associator(y,z,x),multiply(y,multiply(z,x))))),
    inference(forward_demodulation,[],[f3532,f3531]) ).

fof(f3532,plain,
    multiply(multiply(x,y),multiply(z,x)) != add(associator(x,multiply(y,z),x),multiply(x,multiply(multiply(y,z),x))),
    inference(backward_demodulation,[],[f16,f3531]) ).

fof(f16,axiom,
    multiply(multiply(x,y),multiply(z,x)) != multiply(multiply(x,multiply(y,z)),x),
    file('/export/starexec/sandbox2/tmp/tmp.29fFe037XW/Vampire---4.8_20557',prove_middle_moufang) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.17  % Problem    : RNG029-6 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.18  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.13/0.38  % Computer : n005.cluster.edu
% 0.13/0.38  % Model    : x86_64 x86_64
% 0.13/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38  % Memory   : 8042.1875MB
% 0.13/0.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.18/0.38  % CPULimit   : 300
% 0.18/0.38  % WCLimit    : 300
% 0.18/0.38  % DateTime   : Sun Aug 27 02:39:08 EDT 2023
% 0.18/0.38  % CPUTime    : 
% 0.18/0.38  This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.18/0.38  Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.29fFe037XW/Vampire---4.8_20557
% 0.18/0.39  % (20665)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.44  % (20667)lrs+10_64_av=off:drc=off:nwc=1.1:sims=off:stl=125_682 on Vampire---4 for (682ds/0Mi)
% 0.18/0.44  % (20668)ott+10_20_av=off:drc=off:fde=none:sp=occurrence:tgt=ground_676 on Vampire---4 for (676ds/0Mi)
% 0.18/0.44  % (20671)ott+10_64_av=off:bd=preordered:drc=off:fde=unused:sims=off:sp=reverse_arity:tgt=ground_474 on Vampire---4 for (474ds/0Mi)
% 0.18/0.44  % (20672)lrs+10_7_av=off:bd=preordered:drc=off:fde=none:nwc=2.5:sp=reverse_arity:to=lpo:stl=188_323 on Vampire---4 for (323ds/0Mi)
% 0.18/0.44  % (20669)ott+10_32_av=off:drc=off:fde=none:nwc=5.0:sp=reverse_weighted_frequency:tgt=full_552 on Vampire---4 for (552ds/0Mi)
% 0.18/0.44  % (20670)ott+10_5_av=off:bd=preordered:drc=off:fde=unused:nwc=2.5:sp=occurrence:to=lpo:tgt=ground_501 on Vampire---4 for (501ds/0Mi)
% 0.18/0.45  % (20666)lrs+10_4_av=off:bd=preordered:drc=off:nwc=1.3:sims=off:sp=weighted_frequency:tgt=ground:stl=125_728 on Vampire---4 for (728ds/0Mi)
% 187.05/27.31  % (20672)First to succeed.
% 188.10/27.34  % (20672)Refutation found. Thanks to Tanya!
% 188.10/27.34  % SZS status Unsatisfiable for Vampire---4
% 188.10/27.34  % SZS output start Proof for Vampire---4
% See solution above
% 188.10/27.34  % (20672)------------------------------
% 188.10/27.34  % (20672)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 188.10/27.34  % (20672)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 188.10/27.34  % (20672)Termination reason: Refutation
% 188.10/27.34  
% 188.10/27.34  % (20672)Memory used [KB]: 594233
% 188.10/27.34  % (20672)Time elapsed: 26.872 s
% 188.10/27.34  % (20672)------------------------------
% 188.10/27.34  % (20672)------------------------------
% 188.10/27.34  % (20665)Success in time 26.817 s
% 188.10/27.34  % Vampire---4.8 exiting
%------------------------------------------------------------------------------