TSTP Solution File: GRP705-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : GRP705-1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n029.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 : Sun May  5 06:10:27 EDT 2024

% Result   : Unsatisfiable 51.48s 7.72s
% Output   : Refutation 51.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   54
%            Number of leaves      :    9
% Syntax   : Number of formulae    :  300 ( 300 unt;   0 def)
%            Number of atoms       :  300 ( 299 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   4 avg)
%            Maximal term depth    :    9 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :  753 ( 753   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f214644,plain,
    $false,
    inference(trivial_inequality_removal,[],[f214284]) ).

fof(f214284,plain,
    mult(op_a,mult(op_b,a)) != mult(op_a,mult(op_b,a)),
    inference(superposition,[],[f10,f213152]) ).

fof(f213152,plain,
    ! [X0,X1] : mult(X0,mult(op_b,X1)) = mult(mult(X0,op_b),X1),
    inference(forward_demodulation,[],[f213151,f2]) ).

fof(f2,axiom,
    ! [X0,X1] : ld(X0,mult(X0,X1)) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c02) ).

fof(f213151,plain,
    ! [X0,X1] : mult(X0,mult(op_b,X1)) = mult(mult(X0,ld(op_b,mult(op_b,op_b))),X1),
    inference(forward_demodulation,[],[f213150,f5770]) ).

fof(f5770,plain,
    ! [X0,X1] : mult(ld(X0,ld(X0,unit)),mult(X0,mult(X0,X1))) = X1,
    inference(forward_demodulation,[],[f5769,f64]) ).

fof(f64,plain,
    ! [X0,X1] : mult(X0,mult(X0,X1)) = mult(mult(X0,X0),X1),
    inference(forward_demodulation,[],[f51,f6]) ).

fof(f6,axiom,
    ! [X0] : mult(unit,X0) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c06) ).

fof(f51,plain,
    ! [X0,X1] : mult(unit,mult(X0,mult(X0,X1))) = mult(mult(X0,X0),X1),
    inference(superposition,[],[f7,f6]) ).

fof(f7,axiom,
    ! [X2,X0,X1] : mult(X0,mult(X1,mult(X1,X2))) = mult(mult(mult(X0,X1),X1),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c07) ).

fof(f5769,plain,
    ! [X0,X1] : mult(ld(X0,ld(X0,unit)),mult(mult(X0,X0),X1)) = X1,
    inference(forward_demodulation,[],[f5768,f5]) ).

fof(f5,axiom,
    ! [X0] : mult(X0,unit) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c05) ).

fof(f5768,plain,
    ! [X0,X1] : mult(ld(X0,ld(X0,unit)),mult(mult(X0,mult(X0,unit)),X1)) = X1,
    inference(backward_demodulation,[],[f5665,f5766]) ).

fof(f5766,plain,
    ! [X0,X1] : mult(X0,mult(X0,X1)) = ld(ld(X0,ld(X0,unit)),X1),
    inference(forward_demodulation,[],[f5617,f64]) ).

fof(f5617,plain,
    ! [X0,X1] : mult(mult(X0,X0),X1) = ld(ld(X0,ld(X0,unit)),X1),
    inference(superposition,[],[f5379,f1]) ).

fof(f1,axiom,
    ! [X0,X1] : mult(X0,ld(X0,X1)) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c01) ).

fof(f5379,plain,
    ! [X0,X1] : mult(mult(X0,X0),mult(ld(X0,ld(X0,unit)),X1)) = X1,
    inference(backward_demodulation,[],[f1522,f5321]) ).

fof(f5321,plain,
    ! [X0,X1] : mult(ld(X0,unit),mult(ld(X0,unit),X1)) = mult(ld(X0,ld(X0,unit)),X1),
    inference(superposition,[],[f64,f1737]) ).

fof(f1737,plain,
    ! [X0] : mult(ld(X0,unit),ld(X0,unit)) = ld(X0,ld(X0,unit)),
    inference(forward_demodulation,[],[f1697,f720]) ).

fof(f720,plain,
    ! [X0,X1] : ld(X0,X1) = ld(mult(X0,X0),mult(X0,X1)),
    inference(superposition,[],[f83,f1]) ).

fof(f83,plain,
    ! [X0,X1] : ld(mult(X0,X0),mult(X0,mult(X0,X1))) = X1,
    inference(superposition,[],[f2,f64]) ).

fof(f1697,plain,
    ! [X0] : mult(ld(X0,unit),ld(X0,unit)) = ld(mult(X0,X0),mult(X0,ld(X0,unit))),
    inference(superposition,[],[f902,f1278]) ).

fof(f1278,plain,
    ! [X0] : mult(X0,X0) = rd(X0,ld(X0,unit)),
    inference(superposition,[],[f184,f5]) ).

fof(f184,plain,
    ! [X0,X1] : mult(X0,X0) = rd(mult(X0,X1),ld(X0,X1)),
    inference(superposition,[],[f82,f1]) ).

fof(f82,plain,
    ! [X0,X1] : mult(X0,X0) = rd(mult(X0,mult(X0,X1)),X1),
    inference(superposition,[],[f4,f64]) ).

fof(f4,axiom,
    ! [X0,X1] : rd(mult(X0,X1),X1) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c04) ).

fof(f902,plain,
    ! [X0,X1] : mult(X1,X1) = ld(rd(X0,X1),mult(X0,X1)),
    inference(superposition,[],[f2,f129]) ).

fof(f129,plain,
    ! [X0,X1] : mult(X0,X1) = mult(rd(X0,X1),mult(X1,X1)),
    inference(superposition,[],[f69,f3]) ).

fof(f3,axiom,
    ! [X0,X1] : mult(rd(X0,X1),X1) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c03) ).

fof(f69,plain,
    ! [X0,X1] : mult(mult(X0,X1),X1) = mult(X0,mult(X1,X1)),
    inference(forward_demodulation,[],[f55,f5]) ).

fof(f55,plain,
    ! [X0,X1] : mult(mult(X0,X1),X1) = mult(X0,mult(X1,mult(X1,unit))),
    inference(superposition,[],[f7,f5]) ).

fof(f1522,plain,
    ! [X0,X1] : mult(mult(X0,X0),mult(ld(X0,unit),mult(ld(X0,unit),X1))) = X1,
    inference(forward_demodulation,[],[f1521,f6]) ).

fof(f1521,plain,
    ! [X0,X1] : mult(unit,X1) = mult(mult(X0,X0),mult(ld(X0,unit),mult(ld(X0,unit),X1))),
    inference(forward_demodulation,[],[f1512,f1]) ).

fof(f1512,plain,
    ! [X0,X1] : mult(mult(X0,ld(X0,unit)),X1) = mult(mult(X0,X0),mult(ld(X0,unit),mult(ld(X0,unit),X1))),
    inference(superposition,[],[f50,f1278]) ).

fof(f50,plain,
    ! [X2,X0,X1] : mult(rd(X0,X1),mult(X1,mult(X1,X2))) = mult(mult(X0,X1),X2),
    inference(superposition,[],[f7,f3]) ).

fof(f5665,plain,
    ! [X0,X1] : mult(ld(X0,ld(X0,unit)),mult(ld(ld(X0,ld(X0,unit)),unit),X1)) = X1,
    inference(forward_demodulation,[],[f5588,f5334]) ).

fof(f5334,plain,
    ! [X0,X1] : ld(ld(X0,unit),ld(ld(X0,unit),X1)) = ld(ld(X0,ld(X0,unit)),X1),
    inference(superposition,[],[f1221,f1737]) ).

fof(f1221,plain,
    ! [X0,X1] : ld(mult(X0,X0),X1) = ld(X0,ld(X0,X1)),
    inference(superposition,[],[f2,f161]) ).

fof(f161,plain,
    ! [X0,X1] : ld(X0,X1) = mult(X0,ld(mult(X0,X0),X1)),
    inference(superposition,[],[f2,f81]) ).

fof(f81,plain,
    ! [X0,X1] : mult(X0,mult(X0,ld(mult(X0,X0),X1))) = X1,
    inference(superposition,[],[f64,f1]) ).

fof(f5588,plain,
    ! [X0,X1] : mult(ld(X0,ld(X0,unit)),mult(ld(ld(X0,unit),ld(ld(X0,unit),unit)),X1)) = X1,
    inference(superposition,[],[f5379,f1737]) ).

fof(f213150,plain,
    ! [X0,X1] : mult(X0,mult(op_b,X1)) = mult(mult(X0,ld(op_b,mult(ld(op_b,ld(op_b,unit)),mult(op_b,mult(op_b,mult(op_b,op_b)))))),X1),
    inference(forward_demodulation,[],[f213149,f196937]) ).

fof(f196937,plain,
    ! [X2,X0,X1] : mult(X0,mult(X1,mult(X1,mult(X2,X2)))) = mult(mult(X0,X1),mult(X1,mult(X2,X2))),
    inference(forward_demodulation,[],[f196936,f70]) ).

fof(f70,plain,
    ! [X2,X0,X1] : mult(X0,mult(X1,mult(X1,X2))) = mult(mult(X0,mult(X1,X1)),X2),
    inference(backward_demodulation,[],[f7,f69]) ).

fof(f196936,plain,
    ! [X2,X0,X1] : mult(mult(X0,mult(X1,X1)),mult(X2,X2)) = mult(mult(X0,X1),mult(X1,mult(X2,X2))),
    inference(forward_demodulation,[],[f196935,f69]) ).

fof(f196935,plain,
    ! [X2,X0,X1] : mult(mult(X0,mult(X1,X1)),mult(X2,X2)) = mult(mult(X0,X1),mult(mult(X1,X2),X2)),
    inference(forward_demodulation,[],[f196458,f11930]) ).

fof(f11930,plain,
    ! [X0,X1] : mult(X0,X1) = ld(ld(X0,unit),X1),
    inference(superposition,[],[f2,f11707]) ).

fof(f11707,plain,
    ! [X0,X1] : mult(ld(X0,unit),mult(X0,X1)) = X1,
    inference(forward_demodulation,[],[f11706,f1]) ).

fof(f11706,plain,
    ! [X0,X1] : mult(X0,ld(X0,X1)) = mult(ld(X0,unit),mult(X0,X1)),
    inference(forward_demodulation,[],[f11505,f6]) ).

fof(f11505,plain,
    ! [X0,X1] : mult(mult(unit,X0),ld(X0,X1)) = mult(ld(X0,unit),mult(X0,X1)),
    inference(superposition,[],[f305,f6707]) ).

fof(f6707,plain,
    ! [X0] : ld(X0,unit) = rd(unit,X0),
    inference(backward_demodulation,[],[f6632,f6582]) ).

fof(f6582,plain,
    ! [X0,X1] : ld(X1,unit) = ld(mult(X0,mult(X1,X1)),mult(X0,X1)),
    inference(superposition,[],[f2,f1603]) ).

fof(f1603,plain,
    ! [X0,X1] : mult(X1,X0) = mult(mult(X1,mult(X0,X0)),ld(X0,unit)),
    inference(forward_demodulation,[],[f1602,f95]) ).

fof(f95,plain,
    ! [X2,X0,X1] : mult(rd(X0,mult(X1,X1)),mult(X1,mult(X1,X2))) = mult(X0,X2),
    inference(superposition,[],[f70,f3]) ).

fof(f1602,plain,
    ! [X0,X1] : mult(mult(X1,mult(X0,X0)),ld(X0,unit)) = mult(rd(X1,mult(X0,X0)),mult(X0,mult(X0,X0))),
    inference(forward_demodulation,[],[f1567,f64]) ).

fof(f1567,plain,
    ! [X0,X1] : mult(mult(X1,mult(X0,X0)),ld(X0,unit)) = mult(rd(X1,mult(X0,X0)),mult(mult(X0,X0),X0)),
    inference(superposition,[],[f50,f1514]) ).

fof(f1514,plain,
    ! [X0] : mult(mult(X0,X0),ld(X0,unit)) = X0,
    inference(superposition,[],[f3,f1278]) ).

fof(f6632,plain,
    ! [X0,X1] : rd(unit,X0) = ld(mult(X1,mult(X0,X0)),mult(X1,X0)),
    inference(forward_demodulation,[],[f6626,f6624]) ).

fof(f6624,plain,
    ! [X0,X1] : mult(X1,X0) = rd(X1,rd(unit,X0)),
    inference(forward_demodulation,[],[f6617,f129]) ).

fof(f6617,plain,
    ! [X0,X1] : mult(rd(X1,X0),mult(X0,X0)) = rd(X1,rd(unit,X0)),
    inference(backward_demodulation,[],[f1904,f6616]) ).

fof(f6616,plain,
    ! [X0,X1] : rd(X1,X0) = mult(X1,rd(unit,X0)),
    inference(forward_demodulation,[],[f6615,f947]) ).

fof(f947,plain,
    ! [X0,X1] : rd(X0,X1) = mult(rd(X0,mult(X1,X1)),X1),
    inference(superposition,[],[f135,f3]) ).

fof(f135,plain,
    ! [X0,X1] : mult(X0,X1) = rd(mult(X0,mult(X1,X1)),X1),
    inference(superposition,[],[f4,f69]) ).

fof(f6615,plain,
    ! [X0,X1] : mult(X1,rd(unit,X0)) = mult(rd(X1,mult(X0,X0)),X0),
    inference(forward_demodulation,[],[f6614,f2129]) ).

fof(f2129,plain,
    ! [X0,X1] : rd(X1,mult(X0,X0)) = mult(X1,rd(unit,mult(X0,X0))),
    inference(backward_demodulation,[],[f1908,f2081]) ).

fof(f2081,plain,
    ! [X0,X1] : rd(X0,mult(X1,X1)) = rd(rd(X0,X1),X1),
    inference(superposition,[],[f903,f3]) ).

fof(f903,plain,
    ! [X0,X1] : rd(X0,X1) = rd(mult(X0,X1),mult(X1,X1)),
    inference(superposition,[],[f4,f129]) ).

fof(f1908,plain,
    ! [X0,X1] : rd(X1,mult(X0,X0)) = mult(X1,rd(rd(unit,X0),X0)),
    inference(forward_demodulation,[],[f1907,f1507]) ).

fof(f1507,plain,
    ! [X0] : mult(rd(unit,X0),rd(unit,X0)) = rd(rd(unit,X0),X0),
    inference(superposition,[],[f1278,f21]) ).

fof(f21,plain,
    ! [X0,X1] : ld(rd(X0,X1),X0) = X1,
    inference(superposition,[],[f2,f3]) ).

fof(f1907,plain,
    ! [X0,X1] : rd(X1,mult(X0,X0)) = mult(X1,mult(rd(unit,X0),rd(unit,X0))),
    inference(forward_demodulation,[],[f1906,f5]) ).

fof(f1906,plain,
    ! [X0,X1] : mult(X1,mult(rd(unit,X0),rd(unit,X0))) = rd(mult(X1,unit),mult(X0,X0)),
    inference(forward_demodulation,[],[f1864,f3]) ).

fof(f1864,plain,
    ! [X0,X1] : mult(X1,mult(rd(unit,X0),rd(unit,X0))) = rd(mult(X1,mult(rd(unit,X0),X0)),mult(X0,X0)),
    inference(superposition,[],[f75,f1789]) ).

fof(f1789,plain,
    ! [X0] : mult(rd(unit,X0),mult(X0,X0)) = X0,
    inference(superposition,[],[f1,f1729]) ).

fof(f1729,plain,
    ! [X0] : mult(X0,X0) = ld(rd(unit,X0),X0),
    inference(superposition,[],[f902,f6]) ).

fof(f75,plain,
    ! [X2,X0,X1] : rd(mult(X0,mult(X1,mult(X1,X2))),X2) = mult(X0,mult(X1,X1)),
    inference(forward_demodulation,[],[f59,f69]) ).

fof(f59,plain,
    ! [X2,X0,X1] : mult(mult(X0,X1),X1) = rd(mult(X0,mult(X1,mult(X1,X2))),X2),
    inference(superposition,[],[f4,f7]) ).

fof(f6614,plain,
    ! [X0,X1] : mult(X1,rd(unit,X0)) = mult(mult(X1,rd(unit,mult(X0,X0))),X0),
    inference(forward_demodulation,[],[f6544,f21]) ).

fof(f6544,plain,
    ! [X0,X1] : mult(X1,rd(unit,X0)) = mult(mult(X1,rd(unit,mult(X0,X0))),ld(rd(unit,X0),unit)),
    inference(superposition,[],[f1603,f2130]) ).

fof(f2130,plain,
    ! [X0] : mult(rd(unit,X0),rd(unit,X0)) = rd(unit,mult(X0,X0)),
    inference(backward_demodulation,[],[f1507,f2081]) ).

fof(f1904,plain,
    ! [X0,X1] : rd(X1,rd(unit,X0)) = mult(mult(X1,rd(unit,X0)),mult(X0,X0)),
    inference(forward_demodulation,[],[f1903,f5]) ).

fof(f1903,plain,
    ! [X0,X1] : mult(mult(X1,rd(unit,X0)),mult(X0,X0)) = mult(rd(X1,rd(unit,X0)),unit),
    inference(forward_demodulation,[],[f1862,f3]) ).

fof(f1862,plain,
    ! [X0,X1] : mult(mult(X1,rd(unit,X0)),mult(X0,X0)) = mult(rd(X1,rd(unit,X0)),mult(rd(unit,X0),X0)),
    inference(superposition,[],[f50,f1789]) ).

fof(f6626,plain,
    ! [X0,X1] : rd(unit,X0) = ld(rd(X1,rd(unit,mult(X0,X0))),mult(X1,X0)),
    inference(backward_demodulation,[],[f5428,f6624]) ).

fof(f5428,plain,
    ! [X0,X1] : rd(unit,X0) = ld(rd(X1,rd(unit,mult(X0,X0))),rd(X1,rd(unit,X0))),
    inference(superposition,[],[f2177,f2130]) ).

fof(f2177,plain,
    ! [X0,X1] : ld(rd(X0,mult(X1,X1)),rd(X0,X1)) = X1,
    inference(superposition,[],[f2,f947]) ).

fof(f305,plain,
    ! [X2,X0,X1] : mult(mult(X2,X0),ld(X0,X1)) = mult(rd(X2,X0),mult(X0,X1)),
    inference(superposition,[],[f50,f1]) ).

fof(f196458,plain,
    ! [X2,X0,X1] : mult(mult(X0,mult(X1,X1)),mult(X2,X2)) = mult(mult(X0,X1),mult(ld(ld(X1,unit),X2),X2)),
    inference(superposition,[],[f139485,f6583]) ).

fof(f6583,plain,
    ! [X0,X1] : mult(X0,mult(X1,X1)) = rd(mult(X0,X1),ld(X1,unit)),
    inference(superposition,[],[f4,f1603]) ).

fof(f139485,plain,
    ! [X2,X0,X1] : mult(X2,mult(ld(X1,X0),X0)) = mult(rd(X2,X1),mult(X0,X0)),
    inference(forward_demodulation,[],[f139162,f12250]) ).

fof(f12250,plain,
    ! [X2,X0,X1] : mult(ld(X1,X0),X2) = ld(ld(X0,X1),X2),
    inference(superposition,[],[f11862,f7901]) ).

fof(f7901,plain,
    ! [X0,X1] : ld(X1,X0) = ld(ld(X0,X1),unit),
    inference(superposition,[],[f6818,f1]) ).

fof(f6818,plain,
    ! [X0,X1] : ld(X1,unit) = ld(mult(X0,X1),X0),
    inference(forward_demodulation,[],[f6817,f5]) ).

fof(f6817,plain,
    ! [X0,X1] : ld(X1,unit) = ld(mult(X0,X1),mult(X0,unit)),
    inference(forward_demodulation,[],[f6816,f1]) ).

fof(f6816,plain,
    ! [X0,X1] : ld(X1,unit) = ld(mult(X0,X1),mult(X0,mult(X1,ld(X1,unit)))),
    inference(forward_demodulation,[],[f6815,f6707]) ).

fof(f6815,plain,
    ! [X0,X1] : ld(X1,unit) = ld(mult(X0,X1),mult(X0,mult(X1,rd(unit,X1)))),
    inference(forward_demodulation,[],[f6814,f6658]) ).

fof(f6658,plain,
    ! [X0,X1] : rd(X0,X1) = mult(X0,ld(X1,unit)),
    inference(forward_demodulation,[],[f6559,f947]) ).

fof(f6559,plain,
    ! [X0,X1] : mult(rd(X0,mult(X1,X1)),X1) = mult(X0,ld(X1,unit)),
    inference(superposition,[],[f1603,f3]) ).

fof(f6814,plain,
    ! [X0,X1] : ld(X1,unit) = ld(mult(X0,X1),mult(X0,mult(X1,mult(unit,ld(X1,unit))))),
    inference(forward_demodulation,[],[f6813,f125]) ).

fof(f125,plain,
    ! [X0,X1] : mult(X1,ld(X0,X1)) = mult(X0,mult(ld(X0,X1),ld(X0,X1))),
    inference(superposition,[],[f69,f1]) ).

fof(f6813,plain,
    ! [X0,X1] : ld(X1,unit) = ld(mult(X0,X1),mult(X0,mult(X1,mult(X1,mult(ld(X1,unit),ld(X1,unit)))))),
    inference(forward_demodulation,[],[f6591,f70]) ).

fof(f6591,plain,
    ! [X0,X1] : ld(X1,unit) = ld(mult(X0,X1),mult(mult(X0,mult(X1,X1)),mult(ld(X1,unit),ld(X1,unit)))),
    inference(superposition,[],[f136,f1603]) ).

fof(f136,plain,
    ! [X0,X1] : ld(mult(X0,X1),mult(X0,mult(X1,X1))) = X1,
    inference(superposition,[],[f2,f69]) ).

fof(f11862,plain,
    ! [X0,X1] : ld(X0,X1) = mult(ld(X0,unit),X1),
    inference(superposition,[],[f11707,f1]) ).

fof(f139162,plain,
    ! [X2,X0,X1] : mult(X2,ld(ld(X0,X1),X0)) = mult(rd(X2,X1),mult(X0,X0)),
    inference(superposition,[],[f22703,f1]) ).

fof(f22703,plain,
    ! [X2,X0,X1] : mult(X0,ld(X2,X1)) = mult(rd(X0,mult(X1,X2)),mult(X1,X1)),
    inference(forward_demodulation,[],[f22451,f8227]) ).

fof(f8227,plain,
    ! [X2,X0,X1] : rd(X2,ld(X0,X1)) = mult(X2,ld(X1,X0)),
    inference(superposition,[],[f6658,f7901]) ).

fof(f22451,plain,
    ! [X2,X0,X1] : rd(X0,ld(X1,X2)) = mult(rd(X0,mult(X1,X2)),mult(X1,X1)),
    inference(superposition,[],[f790,f3]) ).

fof(f790,plain,
    ! [X2,X0,X1] : mult(X2,mult(X0,X0)) = rd(mult(X2,mult(X0,X1)),ld(X0,X1)),
    inference(superposition,[],[f75,f1]) ).

fof(f213149,plain,
    ! [X0,X1] : mult(X0,mult(op_b,X1)) = mult(mult(X0,ld(op_b,mult(mult(ld(op_b,ld(op_b,unit)),op_b),mult(op_b,mult(op_b,op_b))))),X1),
    inference(forward_demodulation,[],[f213148,f11862]) ).

fof(f213148,plain,
    ! [X0,X1] : mult(mult(X0,mult(ld(op_b,unit),mult(mult(ld(op_b,ld(op_b,unit)),op_b),mult(op_b,mult(op_b,op_b))))),X1) = mult(X0,mult(op_b,X1)),
    inference(forward_demodulation,[],[f213147,f2]) ).

fof(f213147,plain,
    ! [X0,X1] : mult(mult(X0,mult(ld(op_b,unit),mult(mult(ld(op_b,ld(op_b,unit)),op_b),mult(op_b,mult(op_b,op_b))))),X1) = mult(X0,ld(op_b,mult(op_b,mult(op_b,X1)))),
    inference(forward_demodulation,[],[f213146,f5770]) ).

fof(f213146,plain,
    ! [X0,X1] : mult(mult(X0,mult(ld(op_b,unit),mult(mult(ld(op_b,ld(op_b,unit)),op_b),mult(op_b,mult(op_b,op_b))))),X1) = mult(X0,ld(op_b,mult(ld(op_b,ld(op_b,unit)),mult(op_b,mult(op_b,mult(op_b,mult(op_b,X1))))))),
    inference(forward_demodulation,[],[f213145,f14]) ).

fof(f14,plain,
    ! [X0] : unit = ld(X0,X0),
    inference(superposition,[],[f2,f5]) ).

fof(f213145,plain,
    ! [X0,X1] : mult(mult(X0,mult(ld(op_b,unit),mult(mult(ld(op_b,ld(op_b,ld(op_b,op_b))),op_b),mult(op_b,mult(op_b,op_b))))),X1) = mult(X0,ld(op_b,mult(ld(op_b,ld(op_b,ld(op_b,op_b))),mult(op_b,mult(op_b,mult(op_b,mult(op_b,X1))))))),
    inference(forward_demodulation,[],[f213144,f20189]) ).

fof(f20189,plain,
    ! [X2,X0,X1] : ld(mult(X1,mult(X0,X0)),X2) = ld(X0,ld(X0,ld(X1,X2))),
    inference(forward_demodulation,[],[f19965,f15707]) ).

fof(f15707,plain,
    ! [X2,X0,X1] : ld(X1,ld(X1,X2)) = ld(mult(X0,mult(X1,X1)),mult(X0,X2)),
    inference(forward_demodulation,[],[f15706,f11862]) ).

fof(f15706,plain,
    ! [X2,X0,X1] : ld(X1,mult(ld(X1,unit),X2)) = ld(mult(X0,mult(X1,X1)),mult(X0,X2)),
    inference(forward_demodulation,[],[f15705,f11862]) ).

fof(f15705,plain,
    ! [X2,X0,X1] : mult(ld(X1,unit),mult(ld(X1,unit),X2)) = ld(mult(X0,mult(X1,X1)),mult(X0,X2)),
    inference(forward_demodulation,[],[f15512,f6583]) ).

fof(f15512,plain,
    ! [X2,X0,X1] : mult(ld(X1,unit),mult(ld(X1,unit),X2)) = ld(rd(mult(X0,X1),ld(X1,unit)),mult(X0,X2)),
    inference(superposition,[],[f325,f6657]) ).

fof(f6657,plain,
    ! [X0,X1] : mult(mult(X0,X1),ld(X1,unit)) = X0,
    inference(forward_demodulation,[],[f6558,f3]) ).

fof(f6558,plain,
    ! [X0,X1] : mult(rd(X0,X1),X1) = mult(mult(X0,X1),ld(X1,unit)),
    inference(superposition,[],[f1603,f129]) ).

fof(f325,plain,
    ! [X2,X0,X1] : mult(X1,mult(X1,X2)) = ld(rd(X0,X1),mult(mult(X0,X1),X2)),
    inference(superposition,[],[f2,f50]) ).

fof(f19965,plain,
    ! [X2,X3,X0,X1] : ld(mult(X1,mult(X0,X0)),X2) = ld(mult(X3,mult(X0,X0)),mult(X3,ld(X1,X2))),
    inference(superposition,[],[f76,f533]) ).

fof(f533,plain,
    ! [X2,X0,X1] : mult(X1,mult(X1,ld(mult(X0,mult(X1,X1)),X2))) = ld(X0,X2),
    inference(superposition,[],[f2,f72]) ).

fof(f72,plain,
    ! [X2,X0,X1] : mult(X0,mult(X1,mult(X1,ld(mult(X0,mult(X1,X1)),X2)))) = X2,
    inference(forward_demodulation,[],[f56,f69]) ).

fof(f56,plain,
    ! [X2,X0,X1] : mult(X0,mult(X1,mult(X1,ld(mult(mult(X0,X1),X1),X2)))) = X2,
    inference(superposition,[],[f7,f1]) ).

fof(f76,plain,
    ! [X2,X0,X1] : ld(mult(X0,mult(X1,X1)),mult(X0,mult(X1,mult(X1,X2)))) = X2,
    inference(forward_demodulation,[],[f60,f69]) ).

fof(f60,plain,
    ! [X2,X0,X1] : ld(mult(mult(X0,X1),X1),mult(X0,mult(X1,mult(X1,X2)))) = X2,
    inference(superposition,[],[f2,f7]) ).

fof(f213144,plain,
    ! [X0,X1] : mult(mult(X0,mult(ld(op_b,unit),mult(mult(ld(mult(op_b,mult(op_b,op_b)),op_b),op_b),mult(op_b,mult(op_b,op_b))))),X1) = mult(X0,ld(op_b,mult(ld(mult(op_b,mult(op_b,op_b)),op_b),mult(op_b,mult(op_b,mult(op_b,mult(op_b,X1))))))),
    inference(forward_demodulation,[],[f213143,f70]) ).

fof(f213143,plain,
    ! [X0,X1] : mult(mult(X0,mult(ld(op_b,unit),mult(mult(ld(mult(op_b,mult(op_b,op_b)),op_b),op_b),mult(op_b,mult(op_b,op_b))))),X1) = mult(X0,ld(op_b,mult(mult(ld(mult(op_b,mult(op_b,op_b)),op_b),mult(op_b,op_b)),mult(op_b,mult(op_b,X1))))),
    inference(forward_demodulation,[],[f213142,f69]) ).

fof(f213142,plain,
    ! [X0,X1] : mult(mult(X0,mult(ld(op_b,unit),mult(mult(ld(mult(op_b,mult(op_b,op_b)),op_b),op_b),mult(op_b,mult(op_b,op_b))))),X1) = mult(X0,ld(op_b,mult(mult(mult(ld(mult(op_b,mult(op_b,op_b)),op_b),op_b),op_b),mult(op_b,mult(op_b,X1))))),
    inference(forward_demodulation,[],[f213141,f204427]) ).

fof(f204427,plain,
    ! [X2,X3,X0,X1] : mult(mult(X0,mult(X1,mult(X2,X2))),X3) = mult(mult(X0,X1),mult(X2,mult(X2,X3))),
    inference(forward_demodulation,[],[f204426,f3]) ).

fof(f204426,plain,
    ! [X2,X3,X0,X1] : mult(mult(X0,mult(X1,mult(X2,X2))),X3) = mult(mult(X0,mult(rd(X1,mult(X2,X2)),mult(X2,X2))),mult(X2,mult(X2,X3))),
    inference(forward_demodulation,[],[f203651,f139784]) ).

fof(f139784,plain,
    ! [X2,X0,X1] : mult(X2,mult(X1,mult(X0,X0))) = mult(mult(X2,X1),mult(X0,X0)),
    inference(forward_demodulation,[],[f139783,f69]) ).

fof(f139783,plain,
    ! [X2,X0,X1] : mult(mult(X2,X1),mult(X0,X0)) = mult(X2,mult(mult(X1,X0),X0)),
    inference(forward_demodulation,[],[f139782,f11930]) ).

fof(f139782,plain,
    ! [X2,X0,X1] : mult(mult(X2,X1),mult(X0,X0)) = mult(X2,mult(ld(ld(X1,unit),X0),X0)),
    inference(forward_demodulation,[],[f139781,f12364]) ).

fof(f12364,plain,
    ! [X0,X1] : ld(X0,mult(X1,X1)) = mult(ld(X0,X1),X1),
    inference(backward_demodulation,[],[f10489,f12250]) ).

fof(f10489,plain,
    ! [X0,X1] : ld(ld(X1,X0),X1) = ld(X0,mult(X1,X1)),
    inference(superposition,[],[f2,f7963]) ).

fof(f7963,plain,
    ! [X0,X1] : mult(X0,X0) = mult(X1,ld(ld(X0,X1),X0)),
    inference(backward_demodulation,[],[f7539,f7901]) ).

fof(f7539,plain,
    ! [X0,X1] : mult(X0,X0) = mult(X1,ld(ld(X0,ld(X0,X1)),unit)),
    inference(superposition,[],[f6657,f2668]) ).

fof(f2668,plain,
    ! [X0,X1] : mult(mult(X0,X0),ld(X0,ld(X0,X1))) = X1,
    inference(superposition,[],[f1,f1221]) ).

fof(f139781,plain,
    ! [X2,X0,X1] : mult(mult(X2,X1),mult(X0,X0)) = mult(X2,ld(ld(X1,unit),mult(X0,X0))),
    inference(forward_demodulation,[],[f139780,f137040]) ).

fof(f137040,plain,
    ! [X2,X3,X0,X1] : mult(mult(X3,X0),X1) = mult(mult(X3,rd(X0,mult(X2,X2))),mult(X2,mult(X2,X1))),
    inference(forward_demodulation,[],[f137039,f133816]) ).

fof(f133816,plain,
    ! [X2,X3,X0,X1] : mult(mult(X3,mult(X1,rd(X1,X0))),mult(X0,mult(ld(X1,ld(X1,X0)),X2))) = mult(mult(X3,X0),X2),
    inference(forward_demodulation,[],[f133815,f11707]) ).

fof(f133815,plain,
    ! [X2,X3,X0,X1] : mult(mult(X3,mult(X1,rd(X1,X0))),mult(X0,mult(ld(X1,ld(X1,X0)),X2))) = mult(mult(X3,X0),mult(ld(X1,unit),mult(X1,X2))),
    inference(forward_demodulation,[],[f133814,f14]) ).

fof(f133814,plain,
    ! [X2,X3,X0,X1] : mult(mult(X3,mult(X1,rd(X1,X0))),mult(X0,mult(ld(X1,ld(X1,X0)),X2))) = mult(mult(X3,X0),mult(ld(X1,ld(X1,X1)),mult(X1,X2))),
    inference(forward_demodulation,[],[f133786,f130823]) ).

fof(f130823,plain,
    ! [X2,X0,X1] : mult(ld(X1,ld(X1,X0)),X2) = ld(X1,ld(X1,mult(X0,X2))),
    inference(forward_demodulation,[],[f130822,f11862]) ).

fof(f130822,plain,
    ! [X2,X0,X1] : ld(X1,ld(X1,mult(X0,X2))) = mult(mult(ld(X1,unit),ld(X1,X0)),X2),
    inference(forward_demodulation,[],[f130821,f8227]) ).

fof(f130821,plain,
    ! [X2,X0,X1] : ld(X1,ld(X1,mult(X0,X2))) = mult(rd(ld(X1,unit),ld(X0,X1)),X2),
    inference(forward_demodulation,[],[f130820,f11862]) ).

fof(f130820,plain,
    ! [X2,X0,X1] : mult(rd(ld(X1,unit),ld(X0,X1)),X2) = mult(ld(X1,unit),ld(X1,mult(X0,X2))),
    inference(forward_demodulation,[],[f130819,f11930]) ).

fof(f130819,plain,
    ! [X2,X0,X1] : mult(rd(ld(X1,unit),ld(X0,X1)),X2) = mult(ld(X1,unit),ld(X1,ld(ld(X0,unit),X2))),
    inference(forward_demodulation,[],[f130429,f11862]) ).

fof(f130429,plain,
    ! [X2,X0,X1] : mult(rd(ld(X1,unit),ld(X0,X1)),X2) = mult(ld(X1,unit),mult(ld(X1,unit),ld(ld(X0,unit),X2))),
    inference(superposition,[],[f15800,f12322]) ).

fof(f12322,plain,
    ! [X0,X1] : ld(X0,unit) = mult(ld(X0,X1),ld(X1,unit)),
    inference(superposition,[],[f6657,f11862]) ).

fof(f15800,plain,
    ! [X2,X0,X1] : mult(rd(X1,X0),X2) = mult(X1,mult(X1,ld(mult(X0,X1),X2))),
    inference(forward_demodulation,[],[f15554,f13403]) ).

fof(f13403,plain,
    ! [X2,X0,X1] : mult(rd(X1,X0),X2) = ld(rd(X0,X1),X2),
    inference(superposition,[],[f11862,f12686]) ).

fof(f12686,plain,
    ! [X0,X1] : rd(X1,X0) = ld(rd(X0,X1),unit),
    inference(superposition,[],[f4,f11898]) ).

fof(f11898,plain,
    ! [X0,X1] : mult(ld(rd(X0,X1),unit),X0) = X1,
    inference(superposition,[],[f11707,f3]) ).

fof(f15554,plain,
    ! [X2,X0,X1] : ld(rd(X0,X1),X2) = mult(X1,mult(X1,ld(mult(X0,X1),X2))),
    inference(superposition,[],[f325,f1]) ).

fof(f133786,plain,
    ! [X2,X3,X0,X1] : mult(mult(X3,mult(X1,rd(X1,X0))),mult(X0,mult(ld(X1,ld(X1,X0)),X2))) = mult(mult(X3,X0),ld(X1,ld(X1,mult(X1,mult(X1,X2))))),
    inference(backward_demodulation,[],[f127621,f133768]) ).

fof(f133768,plain,
    ! [X2,X3,X0,X1] : mult(mult(X2,rd(X0,mult(X1,X1))),X3) = mult(mult(X2,X0),ld(X1,ld(X1,X3))),
    inference(forward_demodulation,[],[f133767,f23017]) ).

fof(f23017,plain,
    ! [X2,X0,X1] : mult(X1,ld(X0,ld(X0,X2))) = ld(mult(X0,rd(X0,X1)),X2),
    inference(forward_demodulation,[],[f22867,f3911]) ).

fof(f3911,plain,
    ! [X2,X0,X1] : mult(rd(X0,mult(X1,X1)),X2) = mult(X0,ld(X1,ld(X1,X2))),
    inference(backward_demodulation,[],[f2237,f3910]) ).

fof(f3910,plain,
    ! [X2,X0,X1] : mult(X2,ld(X0,ld(X0,X1))) = mult(rd(X2,mult(X0,mult(X0,mult(X0,X0)))),mult(X0,mult(X0,X1))),
    inference(forward_demodulation,[],[f3909,f64]) ).

fof(f3909,plain,
    ! [X2,X0,X1] : mult(X2,ld(X0,ld(X0,X1))) = mult(rd(X2,mult(mult(X0,X0),mult(X0,X0))),mult(X0,mult(X0,X1))),
    inference(forward_demodulation,[],[f3808,f64]) ).

fof(f3808,plain,
    ! [X2,X0,X1] : mult(X2,ld(X0,ld(X0,X1))) = mult(rd(X2,mult(mult(X0,X0),mult(X0,X0))),mult(mult(X0,X0),X1)),
    inference(superposition,[],[f95,f2668]) ).

fof(f2237,plain,
    ! [X2,X0,X1] : mult(rd(X0,mult(X1,X1)),X2) = mult(rd(X0,mult(X1,mult(X1,mult(X1,X1)))),mult(X1,mult(X1,X2))),
    inference(forward_demodulation,[],[f2195,f64]) ).

fof(f2195,plain,
    ! [X2,X0,X1] : mult(rd(X0,mult(mult(X1,X1),mult(X1,X1))),mult(X1,mult(X1,X2))) = mult(rd(X0,mult(X1,X1)),X2),
    inference(superposition,[],[f70,f947]) ).

fof(f22867,plain,
    ! [X2,X0,X1] : mult(rd(X1,mult(X0,X0)),X2) = ld(mult(X0,rd(X0,X1)),X2),
    inference(superposition,[],[f13403,f7760]) ).

fof(f7760,plain,
    ! [X0,X1] : rd(mult(X0,X0),X1) = mult(X0,rd(X0,X1)),
    inference(forward_demodulation,[],[f7667,f6658]) ).

fof(f7667,plain,
    ! [X0,X1] : rd(mult(X0,X0),X1) = mult(X0,mult(X0,ld(X1,unit))),
    inference(superposition,[],[f6658,f64]) ).

fof(f133767,plain,
    ! [X2,X3,X0,X1] : mult(mult(X2,rd(X0,mult(X1,X1))),X3) = ld(mult(X1,rd(X1,mult(X2,X0))),X3),
    inference(forward_demodulation,[],[f133149,f14538]) ).

fof(f14538,plain,
    ! [X2,X0,X1] : rd(X2,mult(X0,X1)) = mult(X2,ld(X1,ld(X0,unit))),
    inference(superposition,[],[f6658,f11948]) ).

fof(f11948,plain,
    ! [X0,X1] : ld(X1,ld(X0,unit)) = ld(mult(X0,X1),unit),
    inference(superposition,[],[f6818,f11707]) ).

fof(f133149,plain,
    ! [X2,X3,X0,X1] : mult(mult(X2,rd(X0,mult(X1,X1))),X3) = ld(mult(X1,mult(X1,ld(X0,ld(X2,unit)))),X3),
    inference(superposition,[],[f14547,f17541]) ).

fof(f17541,plain,
    ! [X2,X0,X1] : mult(X1,mult(X1,ld(X0,X2))) = ld(rd(X0,mult(X1,X1)),X2),
    inference(superposition,[],[f2,f512]) ).

fof(f512,plain,
    ! [X2,X0,X1] : mult(rd(X0,mult(X1,X1)),mult(X1,mult(X1,ld(X0,X2)))) = X2,
    inference(superposition,[],[f72,f3]) ).

fof(f14547,plain,
    ! [X2,X0,X1] : mult(mult(X0,X1),X2) = ld(ld(X1,ld(X0,unit)),X2),
    inference(superposition,[],[f11930,f11948]) ).

fof(f127621,plain,
    ! [X2,X3,X0,X1] : mult(mult(X3,rd(X0,mult(X1,X1))),mult(X1,mult(X1,X2))) = mult(mult(X3,mult(X1,rd(X1,X0))),mult(X0,mult(ld(X1,ld(X1,X0)),X2))),
    inference(backward_demodulation,[],[f13460,f127608]) ).

fof(f127608,plain,
    ! [X2,X0,X1] : mult(X1,ld(X0,ld(X0,mult(X1,X2)))) = mult(X1,mult(ld(X0,ld(X0,X1)),X2)),
    inference(backward_demodulation,[],[f48571,f127607]) ).

fof(f127607,plain,
    ! [X2,X0,X1] : mult(X0,X2) = mult(mult(X1,X1),mult(ld(X1,ld(X1,X0)),X2)),
    inference(forward_demodulation,[],[f127606,f20078]) ).

fof(f20078,plain,
    ! [X2,X0,X1] : mult(X0,X2) = mult(mult(X0,ld(X1,ld(X1,X0))),mult(mult(ld(X0,X1),X1),X2)),
    inference(backward_demodulation,[],[f12409,f20075]) ).

fof(f20075,plain,
    ! [X2,X0,X1] : mult(X0,X2) = mult(X1,mult(X1,mult(ld(X1,ld(X1,X0)),X2))),
    inference(forward_demodulation,[],[f20074,f1221]) ).

fof(f20074,plain,
    ! [X2,X0,X1] : mult(X0,X2) = mult(X1,mult(X1,mult(ld(mult(X1,X1),X0),X2))),
    inference(forward_demodulation,[],[f20073,f12250]) ).

fof(f20073,plain,
    ! [X2,X0,X1] : mult(X0,X2) = mult(X1,mult(X1,ld(ld(X0,mult(X1,X1)),X2))),
    inference(forward_demodulation,[],[f19911,f11930]) ).

fof(f19911,plain,
    ! [X2,X0,X1] : mult(X1,mult(X1,ld(ld(X0,mult(X1,X1)),X2))) = ld(ld(X0,unit),X2),
    inference(superposition,[],[f533,f11862]) ).

fof(f12409,plain,
    ! [X2,X0,X1] : mult(X1,mult(X1,mult(ld(X1,ld(X1,X0)),X2))) = mult(mult(X0,ld(X1,ld(X1,X0))),mult(mult(ld(X0,X1),X1),X2)),
    inference(forward_demodulation,[],[f12369,f12250]) ).

fof(f12369,plain,
    ! [X2,X0,X1] : mult(X1,mult(X1,mult(ld(X1,ld(X1,X0)),X2))) = mult(mult(X0,ld(X1,ld(X1,X0))),mult(ld(ld(X1,X0),X1),X2)),
    inference(backward_demodulation,[],[f11599,f12250]) ).

fof(f11599,plain,
    ! [X2,X0,X1] : mult(mult(X0,ld(X1,ld(X1,X0))),ld(ld(X1,ld(X1,X0)),X2)) = mult(X1,mult(X1,mult(ld(X1,ld(X1,X0)),X2))),
    inference(forward_demodulation,[],[f11477,f64]) ).

fof(f11477,plain,
    ! [X2,X0,X1] : mult(mult(X0,ld(X1,ld(X1,X0))),ld(ld(X1,ld(X1,X0)),X2)) = mult(mult(X1,X1),mult(ld(X1,ld(X1,X0)),X2)),
    inference(superposition,[],[f305,f1279]) ).

fof(f1279,plain,
    ! [X0,X1] : mult(X0,X0) = rd(X1,ld(X0,ld(X0,X1))),
    inference(superposition,[],[f184,f1]) ).

fof(f127606,plain,
    ! [X2,X0,X1] : mult(mult(X1,X1),mult(ld(X1,ld(X1,X0)),X2)) = mult(mult(X0,ld(X1,ld(X1,X0))),mult(mult(ld(X0,X1),X1),X2)),
    inference(forward_demodulation,[],[f126830,f1221]) ).

fof(f126830,plain,
    ! [X2,X0,X1] : mult(mult(X1,X1),mult(ld(mult(X1,X1),X0),X2)) = mult(mult(X0,ld(mult(X1,X1),X0)),mult(mult(ld(X0,X1),X1),X2)),
    inference(superposition,[],[f12368,f12364]) ).

fof(f12368,plain,
    ! [X2,X0,X1] : mult(X0,mult(ld(X0,X1),X2)) = mult(mult(X1,ld(X0,X1)),mult(ld(X1,X0),X2)),
    inference(backward_demodulation,[],[f2485,f12250]) ).

fof(f2485,plain,
    ! [X2,X0,X1] : mult(mult(X1,ld(X0,X1)),ld(ld(X0,X1),X2)) = mult(X0,mult(ld(X0,X1),X2)),
    inference(superposition,[],[f48,f1]) ).

fof(f48,plain,
    ! [X2,X0,X1] : mult(X0,mult(ld(X0,X1),mult(ld(X0,X1),X2))) = mult(mult(X1,ld(X0,X1)),X2),
    inference(superposition,[],[f7,f1]) ).

fof(f48571,plain,
    ! [X2,X0,X1] : mult(mult(X0,X0),mult(ld(X0,ld(X0,X1)),mult(ld(X0,ld(X0,X1)),X2))) = mult(X1,ld(X0,ld(X0,mult(X1,X2)))),
    inference(backward_demodulation,[],[f2665,f48569]) ).

fof(f48569,plain,
    ! [X2,X0,X1] : mult(mult(X0,ld(X1,ld(X1,X0))),X2) = mult(X0,ld(X1,ld(X1,mult(X0,X2)))),
    inference(forward_demodulation,[],[f48568,f3911]) ).

fof(f48568,plain,
    ! [X2,X0,X1] : mult(rd(X0,mult(X1,X1)),mult(X0,X2)) = mult(mult(X0,ld(X1,ld(X1,X0))),X2),
    inference(forward_demodulation,[],[f48567,f95]) ).

fof(f48567,plain,
    ! [X2,X0,X1] : mult(rd(X0,mult(X1,X1)),mult(rd(X0,mult(X1,X1)),mult(X1,mult(X1,X2)))) = mult(mult(X0,ld(X1,ld(X1,X0))),X2),
    inference(forward_demodulation,[],[f48201,f3911]) ).

fof(f48201,plain,
    ! [X2,X0,X1] : mult(rd(X0,mult(X1,X1)),mult(rd(X0,mult(X1,X1)),mult(X1,mult(X1,X2)))) = mult(mult(rd(X0,mult(X1,X1)),X0),X2),
    inference(superposition,[],[f115,f3]) ).

fof(f115,plain,
    ! [X2,X0,X1] : mult(X0,mult(X0,mult(X1,mult(X1,X2)))) = mult(mult(X0,mult(X0,mult(X1,X1))),X2),
    inference(forward_demodulation,[],[f93,f64]) ).

fof(f93,plain,
    ! [X2,X0,X1] : mult(mult(X0,X0),mult(X1,mult(X1,X2))) = mult(mult(X0,mult(X0,mult(X1,X1))),X2),
    inference(superposition,[],[f70,f64]) ).

fof(f2665,plain,
    ! [X2,X0,X1] : mult(mult(X1,ld(X0,ld(X0,X1))),X2) = mult(mult(X0,X0),mult(ld(X0,ld(X0,X1)),mult(ld(X0,ld(X0,X1)),X2))),
    inference(superposition,[],[f48,f1221]) ).

fof(f13460,plain,
    ! [X2,X3,X0,X1] : mult(mult(X3,rd(X0,mult(X1,X1))),mult(X1,mult(X1,X2))) = mult(mult(X3,mult(X1,rd(X1,X0))),mult(X0,ld(X1,ld(X1,mult(X0,X2))))),
    inference(forward_demodulation,[],[f13454,f7760]) ).

fof(f13454,plain,
    ! [X2,X3,X0,X1] : mult(mult(X3,rd(X0,mult(X1,X1))),mult(X1,mult(X1,X2))) = mult(mult(X3,rd(mult(X1,X1),X0)),mult(X0,ld(X1,ld(X1,mult(X0,X2))))),
    inference(backward_demodulation,[],[f3916,f13396]) ).

fof(f13396,plain,
    ! [X2,X0,X1] : rd(X2,rd(X0,X1)) = mult(X2,rd(X1,X0)),
    inference(superposition,[],[f6658,f12686]) ).

fof(f3916,plain,
    ! [X2,X3,X0,X1] : mult(mult(X3,rd(X0,mult(X1,X1))),mult(X1,mult(X1,X2))) = mult(rd(X3,rd(X0,mult(X1,X1))),mult(X0,ld(X1,ld(X1,mult(X0,X2))))),
    inference(backward_demodulation,[],[f1974,f3911]) ).

fof(f1974,plain,
    ! [X2,X3,X0,X1] : mult(mult(X3,rd(X0,mult(X1,X1))),mult(X1,mult(X1,X2))) = mult(rd(X3,rd(X0,mult(X1,X1))),mult(rd(X0,mult(X1,X1)),mult(X0,X2))),
    inference(superposition,[],[f50,f95]) ).

fof(f137039,plain,
    ! [X2,X3,X0,X1] : mult(mult(X3,rd(X0,mult(X2,X2))),mult(X2,mult(X2,X1))) = mult(mult(X3,mult(X2,rd(X2,X0))),mult(X0,mult(ld(X2,ld(X2,X0)),X1))),
    inference(forward_demodulation,[],[f137038,f13132]) ).

fof(f13132,plain,
    ! [X2,X0,X1] : mult(X1,rd(X1,X0)) = rd(mult(X1,mult(X1,X2)),mult(X0,X2)),
    inference(forward_demodulation,[],[f13131,f7760]) ).

fof(f13131,plain,
    ! [X2,X0,X1] : rd(mult(X1,X1),X0) = rd(mult(X1,mult(X1,X2)),mult(X0,X2)),
    inference(forward_demodulation,[],[f13064,f12686]) ).

fof(f13064,plain,
    ! [X2,X0,X1] : ld(rd(X0,mult(X1,X1)),unit) = rd(mult(X1,mult(X1,X2)),mult(X0,X2)),
    inference(superposition,[],[f11931,f95]) ).

fof(f11931,plain,
    ! [X0,X1] : ld(X0,unit) = rd(X1,mult(X0,X1)),
    inference(superposition,[],[f4,f11707]) ).

fof(f137038,plain,
    ! [X2,X3,X0,X1] : mult(mult(X3,rd(X0,mult(X2,X2))),mult(X2,mult(X2,X1))) = mult(mult(X3,rd(mult(X2,mult(X2,X1)),mult(X0,X1))),mult(X0,mult(ld(X2,ld(X2,X0)),X1))),
    inference(forward_demodulation,[],[f137037,f130823]) ).

fof(f137037,plain,
    ! [X2,X3,X0,X1] : mult(mult(X3,rd(X0,mult(X2,X2))),mult(X2,mult(X2,X1))) = mult(mult(X3,rd(mult(X2,mult(X2,X1)),mult(X0,X1))),mult(X0,ld(X2,ld(X2,mult(X0,X1))))),
    inference(forward_demodulation,[],[f136124,f3911]) ).

fof(f136124,plain,
    ! [X2,X3,X0,X1] : mult(mult(X3,rd(X0,mult(X2,X2))),mult(X2,mult(X2,X1))) = mult(mult(X3,rd(mult(X2,mult(X2,X1)),mult(X0,X1))),mult(rd(X0,mult(X2,X2)),mult(X0,X1))),
    inference(superposition,[],[f13443,f1973]) ).

fof(f1973,plain,
    ! [X2,X0,X1] : rd(X0,mult(X1,X1)) = rd(mult(X0,X2),mult(X1,mult(X1,X2))),
    inference(superposition,[],[f4,f95]) ).

fof(f13443,plain,
    ! [X2,X0,X1] : mult(mult(X2,rd(X0,X1)),X1) = mult(mult(X2,rd(X1,X0)),mult(rd(X0,X1),X0)),
    inference(backward_demodulation,[],[f314,f13396]) ).

fof(f314,plain,
    ! [X2,X0,X1] : mult(mult(X2,rd(X0,X1)),X1) = mult(rd(X2,rd(X0,X1)),mult(rd(X0,X1),X0)),
    inference(superposition,[],[f50,f3]) ).

fof(f139780,plain,
    ! [X2,X0,X1] : mult(X2,ld(ld(X1,unit),mult(X0,X0))) = mult(mult(X2,rd(X1,mult(X0,X0))),mult(X0,mult(X0,mult(X0,X0)))),
    inference(forward_demodulation,[],[f139779,f2081]) ).

fof(f139779,plain,
    ! [X2,X0,X1] : mult(X2,ld(ld(X1,unit),mult(X0,X0))) = mult(mult(X2,rd(rd(X1,X0),X0)),mult(X0,mult(X0,mult(X0,X0)))),
    inference(forward_demodulation,[],[f139778,f21795]) ).

fof(f21795,plain,
    ! [X2,X3,X0,X1] : mult(X3,rd(rd(X1,X2),X0)) = rd(X3,mult(X0,rd(X2,X1))),
    inference(superposition,[],[f13396,f13396]) ).

fof(f139778,plain,
    ! [X2,X0,X1] : mult(X2,ld(ld(X1,unit),mult(X0,X0))) = mult(rd(X2,mult(X0,rd(X0,X1))),mult(X0,mult(X0,mult(X0,X0)))),
    inference(forward_demodulation,[],[f139217,f64]) ).

fof(f139217,plain,
    ! [X2,X0,X1] : mult(X2,ld(ld(X1,unit),mult(X0,X0))) = mult(rd(X2,mult(X0,rd(X0,X1))),mult(mult(X0,X0),mult(X0,X0))),
    inference(superposition,[],[f22703,f8040]) ).

fof(f8040,plain,
    ! [X0,X1] : mult(X0,rd(X0,X1)) = mult(mult(X0,X0),ld(X1,unit)),
    inference(superposition,[],[f1318,f7642]) ).

fof(f7642,plain,
    ! [X0,X1] : ld(X1,unit) = ld(X0,rd(X0,X1)),
    inference(forward_demodulation,[],[f7641,f903]) ).

fof(f7641,plain,
    ! [X0,X1] : ld(X1,unit) = ld(X0,rd(mult(X0,X1),mult(X1,X1))),
    inference(forward_demodulation,[],[f7640,f6989]) ).

fof(f6989,plain,
    ! [X0,X1] : rd(X1,mult(X0,X0)) = mult(X1,ld(X0,ld(X0,unit))),
    inference(forward_demodulation,[],[f6988,f2081]) ).

fof(f6988,plain,
    ! [X0,X1] : rd(rd(X1,X0),X0) = mult(X1,ld(X0,ld(X0,unit))),
    inference(forward_demodulation,[],[f6987,f6871]) ).

fof(f6871,plain,
    ! [X0] : ld(X0,ld(X0,unit)) = rd(ld(X0,unit),X0),
    inference(forward_demodulation,[],[f6870,f1221]) ).

fof(f6870,plain,
    ! [X0] : ld(mult(X0,X0),unit) = rd(ld(X0,unit),X0),
    inference(forward_demodulation,[],[f6842,f6707]) ).

fof(f6842,plain,
    ! [X0] : rd(unit,mult(X0,X0)) = rd(ld(X0,unit),X0),
    inference(superposition,[],[f2081,f6707]) ).

fof(f6987,plain,
    ! [X0,X1] : rd(rd(X1,X0),X0) = mult(X1,rd(ld(X0,unit),X0)),
    inference(forward_demodulation,[],[f6986,f6658]) ).

fof(f6986,plain,
    ! [X0,X1] : rd(rd(X1,X0),X0) = mult(X1,mult(ld(X0,unit),ld(X0,unit))),
    inference(forward_demodulation,[],[f6985,f6658]) ).

fof(f6985,plain,
    ! [X0,X1] : mult(X1,mult(ld(X0,unit),ld(X0,unit))) = rd(mult(X1,ld(X0,unit)),X0),
    inference(forward_demodulation,[],[f6945,f5]) ).

fof(f6945,plain,
    ! [X0,X1] : mult(X1,mult(ld(X0,unit),ld(X0,unit))) = rd(mult(X1,mult(ld(X0,unit),unit)),X0),
    inference(superposition,[],[f75,f6837]) ).

fof(f6837,plain,
    ! [X0] : unit = mult(ld(X0,unit),X0),
    inference(superposition,[],[f3,f6707]) ).

fof(f7640,plain,
    ! [X0,X1] : ld(X1,unit) = ld(X0,mult(mult(X0,X1),ld(X1,ld(X1,unit)))),
    inference(forward_demodulation,[],[f7639,f6871]) ).

fof(f7639,plain,
    ! [X0,X1] : ld(X1,unit) = ld(X0,mult(mult(X0,X1),rd(ld(X1,unit),X1))),
    inference(forward_demodulation,[],[f7588,f6658]) ).

fof(f7588,plain,
    ! [X0,X1] : ld(X1,unit) = ld(X0,mult(mult(X0,X1),mult(ld(X1,unit),ld(X1,unit)))),
    inference(superposition,[],[f136,f6657]) ).

fof(f1318,plain,
    ! [X0,X1] : mult(X0,X1) = mult(mult(X0,X0),ld(X0,X1)),
    inference(superposition,[],[f3,f184]) ).

fof(f203651,plain,
    ! [X2,X3,X0,X1] : mult(mult(X0,mult(X1,mult(X2,X2))),X3) = mult(mult(mult(X0,rd(X1,mult(X2,X2))),mult(X2,X2)),mult(X2,mult(X2,X3))),
    inference(superposition,[],[f95,f149811]) ).

fof(f149811,plain,
    ! [X2,X0,X1] : mult(mult(X0,rd(X1,X2)),X2) = rd(mult(X0,mult(X1,X2)),X2),
    inference(superposition,[],[f135,f136530]) ).

fof(f136530,plain,
    ! [X2,X0,X1] : mult(X2,mult(X0,X1)) = mult(mult(X2,rd(X0,X1)),mult(X1,X1)),
    inference(backward_demodulation,[],[f131669,f136529]) ).

fof(f136529,plain,
    ! [X2,X0,X1] : mult(X2,mult(X1,X0)) = mult(mult(X2,rd(X0,X1)),mult(X1,ld(X0,mult(X1,X0)))),
    inference(forward_demodulation,[],[f136528,f131661]) ).

fof(f131661,plain,
    ! [X0,X1] : mult(rd(X0,X1),mult(X0,X1)) = mult(X0,ld(X1,mult(X0,X1))),
    inference(backward_demodulation,[],[f8297,f131660]) ).

fof(f131660,plain,
    ! [X2,X3,X0,X1] : mult(X3,ld(X2,mult(X1,X0))) = mult(mult(X3,ld(X2,rd(X1,X0))),mult(X0,X0)),
    inference(forward_demodulation,[],[f131659,f8227]) ).

fof(f131659,plain,
    ! [X2,X3,X0,X1] : rd(X3,ld(mult(X1,X0),X2)) = mult(mult(X3,ld(X2,rd(X1,X0))),mult(X0,X0)),
    inference(forward_demodulation,[],[f130621,f22918]) ).

fof(f22918,plain,
    ! [X2,X3,X0,X1] : mult(X3,ld(X2,rd(X0,X1))) = rd(X3,mult(rd(X1,X0),X2)),
    inference(superposition,[],[f8227,f13403]) ).

fof(f130621,plain,
    ! [X2,X3,X0,X1] : rd(X3,ld(mult(X1,X0),X2)) = mult(rd(X3,mult(rd(X0,X1),X2)),mult(X0,X0)),
    inference(superposition,[],[f817,f15800]) ).

fof(f817,plain,
    ! [X2,X0,X1] : mult(rd(X0,mult(X1,mult(X1,X2))),mult(X1,X1)) = rd(X0,X2),
    inference(superposition,[],[f75,f3]) ).

fof(f8297,plain,
    ! [X0,X1] : mult(rd(X0,X1),mult(X0,X1)) = mult(mult(X0,ld(X1,rd(X0,X1))),mult(X1,X1)),
    inference(backward_demodulation,[],[f2825,f8273]) ).

fof(f8273,plain,
    ! [X0,X1] : mult(rd(X0,X1),rd(X0,X1)) = mult(X0,ld(X1,rd(X0,X1))),
    inference(backward_demodulation,[],[f1292,f8227]) ).

fof(f1292,plain,
    ! [X0,X1] : mult(rd(X0,X1),rd(X0,X1)) = rd(X0,ld(rd(X0,X1),X1)),
    inference(superposition,[],[f184,f3]) ).

fof(f2825,plain,
    ! [X0,X1] : mult(rd(X0,X1),mult(X0,X1)) = mult(mult(rd(X0,X1),rd(X0,X1)),mult(X1,X1)),
    inference(superposition,[],[f1318,f902]) ).

fof(f136528,plain,
    ! [X2,X0,X1] : mult(X2,mult(X1,X0)) = mult(mult(X2,rd(X0,X1)),mult(rd(X1,X0),mult(X1,X0))),
    inference(forward_demodulation,[],[f136527,f25417]) ).

fof(f25417,plain,
    ! [X2,X0,X1] : mult(X2,X1) = mult(mult(X2,rd(X1,mult(X0,X0))),mult(X0,X0)),
    inference(forward_demodulation,[],[f25416,f2081]) ).

fof(f25416,plain,
    ! [X2,X0,X1] : mult(X2,X1) = mult(mult(X2,rd(rd(X1,X0),X0)),mult(X0,X0)),
    inference(forward_demodulation,[],[f25415,f21795]) ).

fof(f25415,plain,
    ! [X2,X0,X1] : mult(X2,X1) = mult(rd(X2,mult(X0,rd(X0,X1))),mult(X0,X0)),
    inference(forward_demodulation,[],[f25266,f6734]) ).

fof(f6734,plain,
    ! [X0,X1] : mult(X1,X0) = rd(X1,ld(X0,unit)),
    inference(backward_demodulation,[],[f6624,f6707]) ).

fof(f25266,plain,
    ! [X2,X0,X1] : mult(rd(X2,mult(X0,rd(X0,X1))),mult(X0,X0)) = rd(X2,ld(X1,unit)),
    inference(superposition,[],[f817,f6658]) ).

fof(f136527,plain,
    ! [X2,X0,X1] : mult(mult(X2,rd(X0,X1)),mult(rd(X1,X0),mult(X1,X0))) = mult(mult(X2,rd(mult(X1,X0),mult(X0,X0))),mult(X0,X0)),
    inference(forward_demodulation,[],[f136526,f7358]) ).

fof(f7358,plain,
    ! [X2,X0,X1] : mult(rd(X0,X1),X2) = mult(mult(X0,X1),ld(X1,ld(X1,X2))),
    inference(forward_demodulation,[],[f7357,f6658]) ).

fof(f7357,plain,
    ! [X2,X0,X1] : mult(mult(X0,ld(X1,unit)),X2) = mult(mult(X0,X1),ld(X1,ld(X1,X2))),
    inference(forward_demodulation,[],[f7316,f5803]) ).

fof(f5803,plain,
    ! [X0,X1] : ld(X0,ld(X0,X1)) = mult(ld(X0,unit),mult(ld(X0,unit),X1)),
    inference(backward_demodulation,[],[f5321,f5801]) ).

fof(f5801,plain,
    ! [X0,X1] : ld(X0,ld(X0,X1)) = mult(ld(X0,ld(X0,unit)),X1),
    inference(forward_demodulation,[],[f5637,f1221]) ).

fof(f5637,plain,
    ! [X0,X1] : ld(mult(X0,X0),X1) = mult(ld(X0,ld(X0,unit)),X1),
    inference(superposition,[],[f2,f5379]) ).

fof(f7316,plain,
    ! [X2,X0,X1] : mult(mult(X0,ld(X1,unit)),X2) = mult(mult(X0,X1),mult(ld(X1,unit),mult(ld(X1,unit),X2))),
    inference(superposition,[],[f50,f6734]) ).

fof(f136526,plain,
    ! [X2,X0,X1] : mult(mult(X2,rd(mult(X1,X0),mult(X0,X0))),mult(X0,X0)) = mult(mult(X2,rd(X0,X1)),mult(mult(X1,X0),ld(X0,ld(X0,mult(X1,X0))))),
    inference(forward_demodulation,[],[f135984,f3911]) ).

fof(f135984,plain,
    ! [X2,X0,X1] : mult(mult(X2,rd(mult(X1,X0),mult(X0,X0))),mult(X0,X0)) = mult(mult(X2,rd(X0,X1)),mult(rd(mult(X1,X0),mult(X0,X0)),mult(X1,X0))),
    inference(superposition,[],[f13443,f13129]) ).

fof(f13129,plain,
    ! [X0,X1] : rd(X1,X0) = rd(mult(X1,X1),mult(X0,X1)),
    inference(forward_demodulation,[],[f13062,f12686]) ).

fof(f13062,plain,
    ! [X0,X1] : ld(rd(X0,X1),unit) = rd(mult(X1,X1),mult(X0,X1)),
    inference(superposition,[],[f11931,f129]) ).

fof(f131669,plain,
    ! [X2,X0,X1] : mult(mult(X2,rd(X0,X1)),mult(X1,X1)) = mult(mult(X2,rd(X1,X0)),mult(X0,ld(X1,mult(X0,X1)))),
    inference(backward_demodulation,[],[f13445,f131661]) ).

fof(f13445,plain,
    ! [X2,X0,X1] : mult(mult(X2,rd(X0,X1)),mult(X1,X1)) = mult(mult(X2,rd(X1,X0)),mult(rd(X0,X1),mult(X0,X1))),
    inference(backward_demodulation,[],[f904,f13396]) ).

fof(f904,plain,
    ! [X2,X0,X1] : mult(mult(X2,rd(X0,X1)),mult(X1,X1)) = mult(rd(X2,rd(X0,X1)),mult(rd(X0,X1),mult(X0,X1))),
    inference(superposition,[],[f50,f129]) ).

fof(f213141,plain,
    ! [X0,X1] : mult(mult(X0,mult(ld(op_b,unit),mult(mult(ld(mult(op_b,mult(op_b,op_b)),op_b),op_b),mult(op_b,mult(op_b,op_b))))),X1) = mult(X0,ld(op_b,mult(mult(mult(ld(mult(op_b,mult(op_b,op_b)),op_b),op_b),mult(op_b,mult(op_b,op_b))),X1))),
    inference(forward_demodulation,[],[f213140,f79694]) ).

fof(f79694,plain,
    ! [X2,X0,X1] : ld(X0,mult(X1,mult(X1,X2))) = mult(mult(ld(X0,X1),X1),X2),
    inference(forward_demodulation,[],[f79693,f3900]) ).

fof(f3900,plain,
    ! [X2,X0,X1] : mult(X2,X1) = mult(mult(X2,mult(X0,X0)),ld(X0,ld(X0,X1))),
    inference(forward_demodulation,[],[f3899,f95]) ).

fof(f3899,plain,
    ! [X2,X0,X1] : mult(mult(X2,mult(X0,X0)),ld(X0,ld(X0,X1))) = mult(rd(X2,mult(X0,X0)),mult(X0,mult(X0,X1))),
    inference(forward_demodulation,[],[f3802,f64]) ).

fof(f3802,plain,
    ! [X2,X0,X1] : mult(mult(X2,mult(X0,X0)),ld(X0,ld(X0,X1))) = mult(rd(X2,mult(X0,X0)),mult(mult(X0,X0),X1)),
    inference(superposition,[],[f50,f2668]) ).

fof(f79693,plain,
    ! [X2,X0,X1] : ld(X0,mult(X1,mult(X1,X2))) = mult(mult(mult(ld(X0,X1),X1),mult(X1,X1)),ld(X1,ld(X1,X2))),
    inference(forward_demodulation,[],[f79692,f1221]) ).

fof(f79692,plain,
    ! [X2,X0,X1] : ld(X0,mult(X1,mult(X1,X2))) = mult(mult(mult(ld(X0,X1),X1),mult(X1,X1)),ld(mult(X1,X1),X2)),
    inference(forward_demodulation,[],[f79691,f64]) ).

fof(f79691,plain,
    ! [X2,X0,X1] : mult(mult(mult(ld(X0,X1),X1),mult(X1,X1)),ld(mult(X1,X1),X2)) = ld(X0,mult(mult(X1,X1),X2)),
    inference(forward_demodulation,[],[f79344,f11862]) ).

fof(f79344,plain,
    ! [X2,X0,X1] : mult(mult(mult(ld(X0,X1),X1),mult(X1,X1)),ld(mult(X1,X1),X2)) = mult(ld(X0,unit),mult(mult(X1,X1),X2)),
    inference(superposition,[],[f305,f17917]) ).

fof(f17917,plain,
    ! [X0,X1] : ld(X0,unit) = rd(mult(ld(X0,X1),X1),mult(X1,X1)),
    inference(superposition,[],[f12306,f12364]) ).

fof(f12306,plain,
    ! [X0,X1] : ld(X0,unit) = rd(ld(X0,X1),X1),
    inference(superposition,[],[f4,f11862]) ).

fof(f213140,plain,
    ! [X0,X1] : mult(mult(X0,mult(ld(op_b,unit),ld(mult(op_b,mult(op_b,op_b)),mult(op_b,mult(op_b,mult(op_b,mult(op_b,op_b))))))),X1) = mult(X0,ld(op_b,mult(ld(mult(op_b,mult(op_b,op_b)),mult(op_b,mult(op_b,mult(op_b,mult(op_b,op_b))))),X1))),
    inference(forward_demodulation,[],[f212213,f11862]) ).

fof(f212213,plain,
    ! [X0,X1] : mult(mult(X0,mult(ld(op_b,unit),ld(mult(op_b,mult(op_b,op_b)),mult(op_b,mult(op_b,mult(op_b,mult(op_b,op_b))))))),X1) = mult(X0,mult(ld(op_b,unit),mult(ld(mult(op_b,mult(op_b,op_b)),mult(op_b,mult(op_b,mult(op_b,mult(op_b,op_b))))),X1))),
    inference(superposition,[],[f127619,f4221]) ).

fof(f4221,plain,
    mult(op_b,mult(op_b,mult(op_b,mult(op_b,op_b)))) = ld(mult(op_b,mult(op_b,op_b)),ld(op_b,unit)),
    inference(superposition,[],[f76,f238]) ).

fof(f238,plain,
    mult(op_b,mult(op_b,mult(op_b,mult(op_b,mult(op_b,mult(op_b,mult(op_b,op_b))))))) = ld(op_b,unit),
    inference(superposition,[],[f2,f9]) ).

fof(f9,axiom,
    unit = mult(op_b,mult(op_b,mult(op_b,mult(op_b,mult(op_b,mult(op_b,mult(op_b,mult(op_b,op_b)))))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c09) ).

fof(f127619,plain,
    ! [X2,X3,X0,X1] : mult(mult(X2,mult(X0,ld(X1,ld(X1,X0)))),X3) = mult(X2,mult(X0,mult(ld(X1,ld(X1,X0)),X3))),
    inference(backward_demodulation,[],[f5017,f127608]) ).

fof(f5017,plain,
    ! [X2,X3,X0,X1] : mult(mult(X2,mult(X0,ld(X1,ld(X1,X0)))),X3) = mult(X2,mult(X0,ld(X1,ld(X1,mult(X0,X3))))),
    inference(forward_demodulation,[],[f5016,f95]) ).

fof(f5016,plain,
    ! [X2,X3,X0,X1] : mult(mult(X2,mult(X0,ld(X1,ld(X1,X0)))),X3) = mult(X2,mult(X0,ld(X1,ld(X1,mult(rd(X0,mult(X1,X1)),mult(X1,mult(X1,X3))))))),
    inference(forward_demodulation,[],[f5015,f3911]) ).

fof(f5015,plain,
    ! [X2,X3,X0,X1] : mult(X2,mult(rd(X0,mult(X1,X1)),mult(rd(X0,mult(X1,X1)),mult(X1,mult(X1,X3))))) = mult(mult(X2,mult(X0,ld(X1,ld(X1,X0)))),X3),
    inference(forward_demodulation,[],[f4822,f3911]) ).

fof(f4822,plain,
    ! [X2,X3,X0,X1] : mult(X2,mult(rd(X0,mult(X1,X1)),mult(rd(X0,mult(X1,X1)),mult(X1,mult(X1,X3))))) = mult(mult(X2,mult(rd(X0,mult(X1,X1)),X0)),X3),
    inference(superposition,[],[f116,f3]) ).

fof(f116,plain,
    ! [X2,X3,X0,X1] : mult(X0,mult(X1,mult(X1,mult(X2,mult(X2,X3))))) = mult(mult(X0,mult(X1,mult(X1,mult(X2,X2)))),X3),
    inference(forward_demodulation,[],[f94,f70]) ).

fof(f94,plain,
    ! [X2,X3,X0,X1] : mult(mult(X0,mult(X1,X1)),mult(X2,mult(X2,X3))) = mult(mult(X0,mult(X1,mult(X1,mult(X2,X2)))),X3),
    inference(superposition,[],[f70,f70]) ).

fof(f10,axiom,
    mult(op_a,mult(op_b,a)) != mult(mult(op_a,op_b),a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : GRP705-1 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36  % Computer : n029.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Fri May  3 20:52:53 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  % (7046)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38  % (7049)WARNING: value z3 for option sas not known
% 0.15/0.38  % (7048)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38  % (7047)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38  % (7050)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38  % (7049)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)
% 0.15/0.38  % (7051)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)
% 0.15/0.38  % (7052)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)
% 0.15/0.38  % (7053)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)
% 0.15/0.38  TRYING [1]
% 0.15/0.38  TRYING [2]
% 0.15/0.38  TRYING [3]
% 0.15/0.38  TRYING [1]
% 0.15/0.38  TRYING [2]
% 0.15/0.39  TRYING [4]
% 0.15/0.39  TRYING [3]
% 0.15/0.40  TRYING [5]
% 0.15/0.41  TRYING [4]
% 0.21/0.44  TRYING [6]
% 0.21/0.47  TRYING [5]
% 0.21/0.50  TRYING [7]
% 1.63/0.60  TRYING [6]
% 1.63/0.61  TRYING [8]
% 2.93/0.78  TRYING [9]
% 4.69/1.03  TRYING [7]
% 5.12/1.08  TRYING [10]
% 7.79/1.48  TRYING [1]
% 7.79/1.48  TRYING [2]
% 7.79/1.48  TRYING [3]
% 7.79/1.48  TRYING [4]
% 7.79/1.49  TRYING [5]
% 8.07/1.52  TRYING [6]
% 8.36/1.58  TRYING [7]
% 9.34/1.72  TRYING [11]
% 9.34/1.72  TRYING [8]
% 13.15/2.26  TRYING [9]
% 14.57/2.44  TRYING [8]
% 18.65/3.02  TRYING [10]
% 23.00/3.62  TRYING [12]
% 29.86/4.64  TRYING [11]
% 51.48/7.69  % (7052)First to succeed.
% 51.48/7.71  % (7052)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-7046"
% 51.48/7.72  % (7052)Refutation found. Thanks to Tanya!
% 51.48/7.72  % SZS status Unsatisfiable for theBenchmark
% 51.48/7.72  % SZS output start Proof for theBenchmark
% See solution above
% 51.48/7.72  % (7052)------------------------------
% 51.48/7.72  % (7052)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 51.48/7.72  % (7052)Termination reason: Refutation
% 51.48/7.72  
% 51.48/7.72  % (7052)Memory used [KB]: 94906
% 51.48/7.72  % (7052)Time elapsed: 7.334 s
% 51.48/7.72  % (7052)Instructions burned: 18127 (million)
% 51.48/7.72  % (7046)Success in time 7.291 s
%------------------------------------------------------------------------------