TSTP Solution File: GRP655-14 by Vampire---4.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.9
% Problem  : GRP655-14 : TPTP v8.2.0. Released v8.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d THM

% Computer : n024.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 : Mon Jun 24 07:19:32 EDT 2024

% Result   : Unsatisfiable 10.38s 1.88s
% Output   : Refutation 10.38s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :  101
%            Number of leaves      :    8
% Syntax   : Number of formulae    :  528 ( 528 unt;   0 def)
%            Number of atoms       :  528 ( 527 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    7 (   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   :  525 ( 525   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f44449,plain,
    $false,
    inference(subsumption_resolution,[],[f44448,f9]) ).

fof(f9,plain,
    x0 != sF1,
    inference(definition_folding,[],[f6,f8,f7]) ).

fof(f7,plain,
    ld(x1,x1) = sF0,
    introduced(function_definition,[new_symbols(definition,[sF0])]) ).

fof(f8,plain,
    mult(sF0,x0) = sF1,
    introduced(function_definition,[new_symbols(definition,[sF1])]) ).

fof(f6,axiom,
    x0 != mult(ld(x1,x1),x0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f44448,plain,
    x0 = sF1,
    inference(forward_demodulation,[],[f44441,f14]) ).

fof(f14,plain,
    ! [X0,X1] : ld(rd(X0,X1),X0) = X1,
    inference(superposition,[],[f2,f3]) ).

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

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

fof(f44441,plain,
    sF1 = ld(rd(sF0,x0),sF0),
    inference(backward_demodulation,[],[f43278,f44426]) ).

fof(f44426,plain,
    rd(sF0,x0) = ld(x1,rd(rd(x1,x0),sF0)),
    inference(forward_demodulation,[],[f44255,f41243]) ).

fof(f41243,plain,
    rd(sF0,x0) = ld(sF1,sF0),
    inference(backward_demodulation,[],[f39124,f41187]) ).

fof(f41187,plain,
    sF0 = rd(x0,x0),
    inference(forward_demodulation,[],[f41186,f37969]) ).

fof(f37969,plain,
    sF0 = rd(ld(sF0,rd(x0,x0)),rd(sF0,rd(x0,x0))),
    inference(forward_demodulation,[],[f37836,f36396]) ).

fof(f36396,plain,
    ! [X0] : rd(x0,x0) = ld(ld(X0,rd(X0,x0)),ld(sF1,sF0)),
    inference(backward_demodulation,[],[f8661,f36276]) ).

fof(f36276,plain,
    ! [X0] : rd(x0,x0) = ld(ld(sF1,sF0),ld(X0,rd(X0,x0))),
    inference(superposition,[],[f4,f16290]) ).

fof(f16290,plain,
    ! [X0] : x0 = mult(ld(ld(sF1,sF0),ld(X0,rd(X0,x0))),x0),
    inference(forward_demodulation,[],[f16289,f14]) ).

fof(f16289,plain,
    ! [X0,X1] : ld(rd(X1,x0),X1) = mult(ld(ld(sF1,sF0),ld(X0,rd(X0,x0))),x0),
    inference(forward_demodulation,[],[f16288,f1035]) ).

fof(f1035,plain,
    ! [X0] : mult(X0,x0) = rd(X0,ld(sF1,sF0)),
    inference(superposition,[],[f1019,f3]) ).

fof(f1019,plain,
    ! [X0] : mult(mult(X0,ld(sF1,sF0)),x0) = X0,
    inference(forward_demodulation,[],[f1018,f3]) ).

fof(f1018,plain,
    ! [X0] : mult(rd(X0,x0),x0) = mult(mult(X0,ld(sF1,sF0)),x0),
    inference(forward_demodulation,[],[f1010,f1]) ).

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

fof(f1010,plain,
    ! [X0] : mult(mult(X0,ld(sF1,sF0)),x0) = mult(rd(X0,x0),mult(x0,ld(x0,x0))),
    inference(superposition,[],[f30,f998]) ).

fof(f998,plain,
    mult(ld(sF1,sF0),x0) = ld(x0,x0),
    inference(superposition,[],[f14,f990]) ).

fof(f990,plain,
    x0 = rd(x0,mult(ld(sF1,sF0),x0)),
    inference(forward_demodulation,[],[f981,f11]) ).

fof(f11,plain,
    x0 = ld(sF0,sF1),
    inference(superposition,[],[f2,f8]) ).

fof(f981,plain,
    x0 = rd(ld(sF0,sF1),mult(ld(sF1,sF0),x0)),
    inference(superposition,[],[f814,f8]) ).

fof(f814,plain,
    ! [X0] : x0 = rd(ld(sF0,mult(X0,x0)),mult(ld(sF1,X0),x0)),
    inference(superposition,[],[f4,f91]) ).

fof(f91,plain,
    ! [X0] : mult(x0,mult(ld(sF1,X0),x0)) = ld(sF0,mult(X0,x0)),
    inference(superposition,[],[f42,f1]) ).

fof(f42,plain,
    ! [X0] : mult(x0,mult(X0,x0)) = ld(sF0,mult(mult(sF1,X0),x0)),
    inference(superposition,[],[f2,f32]) ).

fof(f32,plain,
    ! [X0] : mult(sF0,mult(x0,mult(X0,x0))) = mult(mult(sF1,X0),x0),
    inference(superposition,[],[f5,f8]) ).

fof(f5,axiom,
    ! [X2,X0,X1] : mult(X0,mult(X1,mult(X2,X1))) = mult(mult(mult(X0,X1),X2),X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f30,plain,
    ! [X2,X0,X1] : mult(rd(X0,X1),mult(X1,mult(X2,X1))) = mult(mult(X0,X2),X1),
    inference(superposition,[],[f5,f3]) ).

fof(f16288,plain,
    ! [X0,X1] : ld(rd(X1,x0),X1) = rd(ld(ld(sF1,sF0),ld(X0,rd(X0,x0))),ld(sF1,sF0)),
    inference(forward_demodulation,[],[f16208,f1047]) ).

fof(f1047,plain,
    ! [X0] : rd(X0,x0) = mult(X0,ld(sF1,sF0)),
    inference(superposition,[],[f4,f1019]) ).

fof(f16208,plain,
    ! [X0,X1] : rd(ld(ld(sF1,sF0),ld(X0,rd(X0,x0))),ld(sF1,sF0)) = ld(mult(X1,ld(sF1,sF0)),X1),
    inference(superposition,[],[f16084,f3979]) ).

fof(f3979,plain,
    ! [X0,X1] : ld(X0,ld(sF1,sF0)) = ld(X0,ld(X1,rd(X1,x0))),
    inference(superposition,[],[f14,f3754]) ).

fof(f3754,plain,
    ! [X0,X1] : rd(ld(sF1,sF0),ld(X1,ld(X0,rd(X0,x0)))) = X1,
    inference(superposition,[],[f3663,f15]) ).

fof(f15,plain,
    ! [X0,X1] : rd(X1,ld(X0,X1)) = X0,
    inference(superposition,[],[f4,f1]) ).

fof(f3663,plain,
    ! [X0,X1] : rd(ld(X0,rd(X0,x0)),X1) = rd(ld(sF1,sF0),X1),
    inference(forward_demodulation,[],[f3653,f1012]) ).

fof(f1012,plain,
    ld(sF1,sF0) = rd(ld(x0,x0),x0),
    inference(superposition,[],[f4,f998]) ).

fof(f3653,plain,
    ! [X0,X1] : rd(ld(X0,rd(X0,x0)),X1) = rd(rd(ld(x0,x0),x0),X1),
    inference(backward_demodulation,[],[f3596,f3599]) ).

fof(f3599,plain,
    ! [X2,X0,X1] : rd(rd(X0,X1),X2) = rd(mult(X0,X2),mult(X2,mult(X1,X2))),
    inference(superposition,[],[f199,f3]) ).

fof(f199,plain,
    ! [X2,X0,X1] : rd(X0,X1) = rd(mult(mult(X0,X2),X1),mult(X1,mult(X2,X1))),
    inference(superposition,[],[f4,f30]) ).

fof(f3596,plain,
    ! [X0,X1] : rd(ld(X0,rd(X0,x0)),X1) = rd(mult(ld(x0,x0),X1),mult(X1,mult(x0,X1))),
    inference(superposition,[],[f199,f1132]) ).

fof(f1132,plain,
    ! [X0] : ld(x0,x0) = mult(ld(X0,rd(X0,x0)),x0),
    inference(superposition,[],[f998,f1085]) ).

fof(f1085,plain,
    ! [X0] : ld(sF1,sF0) = ld(X0,rd(X0,x0)),
    inference(superposition,[],[f2,f1047]) ).

fof(f16084,plain,
    ! [X0,X1] : rd(ld(X1,X1),X1) = ld(mult(X0,X1),X0),
    inference(superposition,[],[f14,f13638]) ).

fof(f13638,plain,
    ! [X0,X1] : mult(X0,X1) = rd(X0,rd(ld(X1,X1),X1)),
    inference(superposition,[],[f6282,f3]) ).

fof(f6282,plain,
    ! [X2,X0,X1] : mult(X2,X0) = mult(rd(rd(X2,rd(ld(X0,X1),X0)),X0),X1),
    inference(superposition,[],[f3193,f1]) ).

fof(f3193,plain,
    ! [X2,X0,X1] : mult(X0,X2) = mult(rd(rd(X0,rd(X1,X2)),X2),mult(X2,X1)),
    inference(superposition,[],[f191,f3]) ).

fof(f191,plain,
    ! [X2,X0,X1] : mult(mult(X2,rd(X0,X1)),X1) = mult(rd(X2,X1),mult(X1,X0)),
    inference(superposition,[],[f30,f3]) ).

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

fof(f8661,plain,
    ! [X0,X1] : ld(ld(X0,rd(X0,x0)),ld(sF1,sF0)) = ld(ld(sF1,sF0),ld(X1,rd(X1,x0))),
    inference(superposition,[],[f8291,f3979]) ).

fof(f8291,plain,
    ! [X0,X1] : ld(ld(X0,rd(X0,x0)),X1) = ld(ld(sF1,sF0),X1),
    inference(superposition,[],[f2,f7941]) ).

fof(f7941,plain,
    ! [X0,X1] : mult(ld(sF1,sF0),ld(ld(X0,rd(X0,x0)),X1)) = X1,
    inference(superposition,[],[f6424,f1]) ).

fof(f6424,plain,
    ! [X2,X0] : mult(ld(X0,rd(X0,x0)),X2) = mult(ld(sF1,sF0),X2),
    inference(forward_demodulation,[],[f6263,f3193]) ).

fof(f6263,plain,
    ! [X2,X0,X1] : mult(ld(X0,rd(X0,x0)),X2) = mult(rd(rd(ld(sF1,sF0),rd(X1,X2)),X2),mult(X2,X1)),
    inference(superposition,[],[f3193,f3663]) ).

fof(f37836,plain,
    ! [X0] : sF0 = rd(ld(sF0,rd(x0,x0)),rd(sF0,ld(ld(X0,rd(X0,x0)),ld(sF1,sF0)))),
    inference(superposition,[],[f19715,f36276]) ).

fof(f19715,plain,
    ! [X0,X1] : sF0 = rd(ld(sF0,ld(X0,X1)),rd(sF0,ld(X1,X0))),
    inference(superposition,[],[f14964,f17164]) ).

fof(f17164,plain,
    ! [X2,X0,X1] : mult(X2,ld(X0,X1)) = rd(X2,ld(X1,X0)),
    inference(superposition,[],[f16249,f1]) ).

fof(f16249,plain,
    ! [X2,X0,X1] : mult(X2,X0) = rd(X2,ld(mult(X1,X0),X1)),
    inference(superposition,[],[f13638,f16084]) ).

fof(f14964,plain,
    ! [X0] : sF0 = rd(ld(sF0,X0),mult(sF0,X0)),
    inference(backward_demodulation,[],[f1726,f14955]) ).

fof(f14955,plain,
    sF0 = rd(sF0,sF0),
    inference(forward_demodulation,[],[f14954,f14197]) ).

fof(f14197,plain,
    ! [X0] : rd(rd(X0,x1),rd(sF0,x1)) = X0,
    inference(superposition,[],[f13779,f3]) ).

fof(f13779,plain,
    ! [X0] : mult(X0,x1) = rd(X0,rd(sF0,x1)),
    inference(forward_demodulation,[],[f13589,f3]) ).

fof(f13589,plain,
    ! [X0] : mult(X0,x1) = mult(rd(rd(X0,rd(sF0,x1)),x1),x1),
    inference(superposition,[],[f6282,f7]) ).

fof(f14954,plain,
    rd(sF0,sF0) = rd(rd(sF0,x1),rd(sF0,x1)),
    inference(forward_demodulation,[],[f14889,f14322]) ).

fof(f14322,plain,
    ! [X0] : rd(sF0,x1) = ld(X0,rd(X0,x1)),
    inference(superposition,[],[f14,f14197]) ).

fof(f14889,plain,
    rd(sF0,sF0) = rd(ld(sF0,rd(sF0,x1)),rd(sF0,x1)),
    inference(superposition,[],[f2035,f14321]) ).

fof(f14321,plain,
    ! [X0] : rd(X0,x1) = mult(X0,rd(sF0,x1)),
    inference(superposition,[],[f3,f14197]) ).

fof(f2035,plain,
    ! [X0] : rd(sF0,sF0) = rd(ld(sF0,X0),mult(sF0,X0)),
    inference(superposition,[],[f15,f1970]) ).

fof(f1970,plain,
    ! [X0] : mult(sF0,X0) = ld(rd(sF0,sF0),ld(sF0,X0)),
    inference(superposition,[],[f1875,f1]) ).

fof(f1875,plain,
    ! [X0] : mult(sF0,mult(sF0,X0)) = ld(rd(sF0,sF0),X0),
    inference(forward_demodulation,[],[f1873,f329]) ).

fof(f329,plain,
    ! [X0] : rd(rd(X0,sF0),sF0) = X0,
    inference(superposition,[],[f215,f3]) ).

fof(f215,plain,
    ! [X0] : mult(X0,sF0) = rd(X0,sF0),
    inference(superposition,[],[f208,f3]) ).

fof(f208,plain,
    ! [X0] : mult(mult(X0,sF0),sF0) = X0,
    inference(forward_demodulation,[],[f207,f3]) ).

fof(f207,plain,
    ! [X0] : mult(rd(X0,sF0),sF0) = mult(mult(X0,sF0),sF0),
    inference(forward_demodulation,[],[f197,f1]) ).

fof(f197,plain,
    ! [X0] : mult(mult(X0,sF0),sF0) = mult(rd(X0,sF0),mult(sF0,ld(sF0,sF0))),
    inference(superposition,[],[f30,f136]) ).

fof(f136,plain,
    mult(sF0,sF0) = ld(sF0,sF0),
    inference(superposition,[],[f2,f128]) ).

fof(f128,plain,
    sF0 = mult(sF0,mult(sF0,sF0)),
    inference(forward_demodulation,[],[f126,f7]) ).

fof(f126,plain,
    ld(x1,x1) = mult(sF0,mult(sF0,sF0)),
    inference(superposition,[],[f14,f121]) ).

fof(f121,plain,
    x1 = rd(x1,mult(sF0,mult(sF0,sF0))),
    inference(forward_demodulation,[],[f109,f10]) ).

fof(f10,plain,
    x1 = mult(x1,sF0),
    inference(superposition,[],[f1,f7]) ).

fof(f109,plain,
    x1 = rd(mult(x1,sF0),mult(sF0,mult(sF0,sF0))),
    inference(superposition,[],[f56,f10]) ).

fof(f56,plain,
    ! [X0] : x1 = rd(mult(mult(x1,X0),sF0),mult(sF0,mult(X0,sF0))),
    inference(superposition,[],[f4,f31]) ).

fof(f31,plain,
    ! [X0] : mult(x1,mult(sF0,mult(X0,sF0))) = mult(mult(x1,X0),sF0),
    inference(superposition,[],[f5,f10]) ).

fof(f1873,plain,
    ! [X0] : mult(sF0,mult(sF0,X0)) = rd(rd(ld(rd(sF0,sF0),X0),sF0),sF0),
    inference(backward_demodulation,[],[f1636,f1870]) ).

fof(f1870,plain,
    ! [X0] : mult(rd(sF0,sF0),rd(X0,sF0)) = rd(ld(rd(sF0,sF0),X0),sF0),
    inference(forward_demodulation,[],[f1869,f1635]) ).

fof(f1635,plain,
    ! [X0] : mult(rd(sF0,sF0),X0) = ld(sF0,ld(sF0,X0)),
    inference(forward_demodulation,[],[f1634,f215]) ).

fof(f1634,plain,
    ! [X0] : mult(mult(sF0,sF0),X0) = ld(sF0,ld(sF0,X0)),
    inference(forward_demodulation,[],[f1633,f4]) ).

fof(f1633,plain,
    ! [X0] : mult(mult(sF0,sF0),X0) = ld(sF0,ld(sF0,rd(mult(X0,sF0),sF0))),
    inference(forward_demodulation,[],[f1575,f411]) ).

fof(f411,plain,
    ! [X0] : rd(mult(sF0,X0),sF0) = ld(sF0,rd(X0,sF0)),
    inference(forward_demodulation,[],[f401,f215]) ).

fof(f401,plain,
    ! [X0] : rd(mult(sF0,X0),sF0) = ld(sF0,mult(X0,sF0)),
    inference(superposition,[],[f391,f4]) ).

fof(f391,plain,
    ! [X0] : rd(mult(sF0,rd(X0,sF0)),sF0) = ld(sF0,X0),
    inference(superposition,[],[f2,f265]) ).

fof(f265,plain,
    ! [X0] : mult(sF0,rd(mult(sF0,rd(X0,sF0)),sF0)) = X0,
    inference(forward_demodulation,[],[f238,f215]) ).

fof(f238,plain,
    ! [X0] : mult(sF0,mult(mult(sF0,rd(X0,sF0)),sF0)) = X0,
    inference(backward_demodulation,[],[f210,f215]) ).

fof(f210,plain,
    ! [X0] : mult(sF0,mult(mult(sF0,mult(X0,sF0)),sF0)) = X0,
    inference(forward_demodulation,[],[f209,f2]) ).

fof(f209,plain,
    ! [X0] : mult(sF0,mult(mult(sF0,mult(X0,sF0)),sF0)) = ld(x1,mult(x1,X0)),
    inference(backward_demodulation,[],[f159,f208]) ).

fof(f159,plain,
    ! [X0] : mult(sF0,mult(mult(sF0,mult(X0,sF0)),sF0)) = ld(x1,mult(mult(mult(x1,X0),sF0),sF0)),
    inference(superposition,[],[f57,f31]) ).

fof(f57,plain,
    ! [X0] : mult(sF0,mult(X0,sF0)) = ld(x1,mult(mult(x1,X0),sF0)),
    inference(superposition,[],[f2,f31]) ).

fof(f1575,plain,
    ! [X0] : mult(mult(sF0,sF0),X0) = ld(sF0,rd(mult(sF0,mult(X0,sF0)),sF0)),
    inference(superposition,[],[f35,f411]) ).

fof(f35,plain,
    ! [X2,X0,X1] : mult(mult(X0,X1),X2) = rd(mult(X0,mult(X1,mult(X2,X1))),X1),
    inference(superposition,[],[f4,f5]) ).

fof(f1869,plain,
    ! [X0] : ld(sF0,ld(sF0,rd(X0,sF0))) = rd(ld(rd(sF0,sF0),X0),sF0),
    inference(forward_demodulation,[],[f1855,f411]) ).

fof(f1855,plain,
    ! [X0] : ld(sF0,rd(mult(sF0,X0),sF0)) = rd(ld(rd(sF0,sF0),X0),sF0),
    inference(superposition,[],[f435,f1797]) ).

fof(f1797,plain,
    ! [X0] : mult(sF0,X0) = ld(sF0,ld(rd(sF0,sF0),X0)),
    inference(superposition,[],[f1727,f1]) ).

fof(f1727,plain,
    ! [X0] : ld(sF0,X0) = mult(sF0,mult(rd(sF0,sF0),X0)),
    inference(superposition,[],[f1,f1635]) ).

fof(f435,plain,
    ! [X0] : rd(X0,sF0) = ld(sF0,rd(ld(sF0,X0),sF0)),
    inference(superposition,[],[f411,f1]) ).

fof(f1636,plain,
    ! [X0] : mult(sF0,mult(sF0,X0)) = rd(mult(rd(sF0,sF0),rd(X0,sF0)),sF0),
    inference(backward_demodulation,[],[f610,f1635]) ).

fof(f610,plain,
    ! [X0] : mult(sF0,mult(sF0,X0)) = rd(ld(sF0,ld(sF0,rd(X0,sF0))),sF0),
    inference(superposition,[],[f439,f411]) ).

fof(f439,plain,
    ! [X0] : mult(sF0,X0) = rd(ld(sF0,rd(X0,sF0)),sF0),
    inference(superposition,[],[f329,f411]) ).

fof(f1726,plain,
    ! [X0] : sF0 = rd(ld(sF0,X0),mult(rd(sF0,sF0),X0)),
    inference(superposition,[],[f15,f1635]) ).

fof(f41186,plain,
    rd(x0,x0) = rd(ld(sF0,rd(x0,x0)),rd(sF0,rd(x0,x0))),
    inference(backward_demodulation,[],[f38436,f41185]) ).

fof(f41185,plain,
    ld(sF0,rd(x0,x0)) = rd(ld(rd(x0,x0),sF0),rd(x0,x0)),
    inference(backward_demodulation,[],[f38435,f41184]) ).

fof(f41184,plain,
    ld(sF0,rd(x0,x0)) = ld(rd(x1,rd(x0,x0)),rd(x1,rd(x0,x0))),
    inference(forward_demodulation,[],[f41183,f37897]) ).

fof(f37897,plain,
    ! [X1] : mult(X1,rd(x0,x0)) = rd(X1,rd(x0,x0)),
    inference(forward_demodulation,[],[f37828,f36396]) ).

fof(f37828,plain,
    ! [X0,X1] : mult(X1,rd(x0,x0)) = rd(X1,ld(ld(X0,rd(X0,x0)),ld(sF1,sF0))),
    inference(superposition,[],[f17164,f36276]) ).

fof(f41183,plain,
    ld(sF0,rd(x0,x0)) = ld(rd(x1,rd(x0,x0)),mult(x1,rd(x0,x0))),
    inference(forward_demodulation,[],[f41178,f15358]) ).

fof(f15358,plain,
    ! [X0] : ld(rd(x1,X0),mult(x1,X0)) = ld(rd(sF0,X0),mult(sF0,X0)),
    inference(forward_demodulation,[],[f15131,f10387]) ).

fof(f10387,plain,
    ! [X0] : mult(X0,mult(sF0,X0)) = ld(rd(x1,X0),mult(x1,X0)),
    inference(superposition,[],[f4702,f7]) ).

fof(f4702,plain,
    ! [X2,X0,X1] : mult(X2,mult(ld(X0,X1),X2)) = ld(rd(X0,X2),mult(X1,X2)),
    inference(superposition,[],[f200,f1]) ).

fof(f200,plain,
    ! [X2,X0,X1] : mult(X1,mult(X2,X1)) = ld(rd(X0,X1),mult(mult(X0,X2),X1)),
    inference(superposition,[],[f2,f30]) ).

fof(f15131,plain,
    ! [X0] : mult(X0,mult(sF0,X0)) = ld(rd(sF0,X0),mult(sF0,X0)),
    inference(backward_demodulation,[],[f10401,f14955]) ).

fof(f10401,plain,
    ! [X0] : mult(X0,mult(rd(sF0,sF0),X0)) = ld(rd(sF0,X0),mult(sF0,X0)),
    inference(superposition,[],[f4702,f249]) ).

fof(f249,plain,
    ld(sF0,sF0) = rd(sF0,sF0),
    inference(backward_demodulation,[],[f136,f215]) ).

fof(f41178,plain,
    ld(sF0,rd(x0,x0)) = ld(rd(sF0,rd(x0,x0)),mult(sF0,rd(x0,x0))),
    inference(backward_demodulation,[],[f38169,f41174]) ).

fof(f41174,plain,
    rd(x0,x0) = rd(rd(x0,x0),rd(x0,x0)),
    inference(forward_demodulation,[],[f41173,f39175]) ).

fof(f39175,plain,
    rd(x0,x0) = ld(mult(x0,x0),mult(x0,x0)),
    inference(backward_demodulation,[],[f38910,f39086]) ).

fof(f39086,plain,
    ld(x0,x0) = rd(x0,x0),
    inference(superposition,[],[f4,f39016]) ).

fof(f39016,plain,
    x0 = mult(ld(x0,x0),x0),
    inference(forward_demodulation,[],[f39015,f2]) ).

fof(f39015,plain,
    mult(ld(x0,x0),x0) = ld(x0,mult(x0,x0)),
    inference(forward_demodulation,[],[f38989,f14702]) ).

fof(f14702,plain,
    ! [X2,X1] : mult(ld(X1,X2),X2) = ld(rd(rd(X1,X1),ld(X1,X2)),X2),
    inference(forward_demodulation,[],[f14701,f11104]) ).

fof(f11104,plain,
    ! [X2,X0,X1] : mult(ld(X0,X1),mult(X2,ld(X0,X1))) = ld(rd(rd(X0,X2),ld(X0,X1)),X1),
    inference(superposition,[],[f4712,f1]) ).

fof(f4712,plain,
    ! [X2,X0,X1] : mult(X2,mult(X1,X2)) = ld(rd(rd(X0,X1),X2),mult(X0,X2)),
    inference(superposition,[],[f200,f3]) ).

fof(f14701,plain,
    ! [X2,X1] : mult(ld(X1,X2),X2) = mult(ld(X1,X2),mult(X1,ld(X1,X2))),
    inference(forward_demodulation,[],[f14468,f200]) ).

fof(f14468,plain,
    ! [X2,X0,X1] : mult(ld(X1,X2),X2) = ld(rd(X0,ld(X1,X2)),mult(mult(X0,X1),ld(X1,X2))),
    inference(superposition,[],[f2,f185]) ).

fof(f185,plain,
    ! [X2,X0,X1] : mult(mult(X2,X0),ld(X0,X1)) = mult(rd(X2,ld(X0,X1)),mult(ld(X0,X1),X1)),
    inference(superposition,[],[f30,f1]) ).

fof(f38989,plain,
    ld(x0,mult(x0,x0)) = ld(rd(rd(x0,x0),ld(x0,x0)),x0),
    inference(superposition,[],[f17405,f38958]) ).

fof(f38958,plain,
    mult(x0,x0) = rd(mult(x0,x0),ld(x0,x0)),
    inference(superposition,[],[f15,f38910]) ).

fof(f17405,plain,
    ! [X2,X0,X1] : ld(rd(rd(X0,X2),ld(X0,X1)),X1) = ld(X0,rd(mult(X1,X2),ld(X1,X0))),
    inference(backward_demodulation,[],[f11251,f17164]) ).

fof(f11251,plain,
    ! [X2,X0,X1] : ld(X0,mult(mult(X1,X2),ld(X0,X1))) = ld(rd(rd(X0,X2),ld(X0,X1)),X1),
    inference(backward_demodulation,[],[f4213,f11104]) ).

fof(f4213,plain,
    ! [X2,X0,X1] : mult(ld(X0,X1),mult(X2,ld(X0,X1))) = ld(X0,mult(mult(X1,X2),ld(X0,X1))),
    inference(superposition,[],[f2,f28]) ).

fof(f28,plain,
    ! [X2,X0,X1] : mult(X0,mult(ld(X0,X1),mult(X2,ld(X0,X1)))) = mult(mult(X1,X2),ld(X0,X1)),
    inference(superposition,[],[f5,f1]) ).

fof(f38910,plain,
    ld(x0,x0) = ld(mult(x0,x0),mult(x0,x0)),
    inference(forward_demodulation,[],[f38909,f998]) ).

fof(f38909,plain,
    mult(ld(sF1,sF0),x0) = ld(mult(x0,x0),mult(x0,x0)),
    inference(forward_demodulation,[],[f38908,f37825]) ).

fof(f37825,plain,
    ld(sF1,sF0) = rd(ld(sF1,sF0),rd(x0,x0)),
    inference(superposition,[],[f3754,f36276]) ).

fof(f38908,plain,
    ld(mult(x0,x0),mult(x0,x0)) = mult(rd(ld(sF1,sF0),rd(x0,x0)),x0),
    inference(forward_demodulation,[],[f38907,f38887]) ).

fof(f38887,plain,
    ! [X1] : mult(rd(X1,rd(x0,x0)),x0) = rd(rd(X1,x0),rd(ld(sF1,sF0),x0)),
    inference(backward_demodulation,[],[f36414,f38813]) ).

fof(f38813,plain,
    ! [X1] : mult(X1,mult(x0,x0)) = rd(X1,rd(ld(sF1,sF0),x0)),
    inference(superposition,[],[f16745,f38251]) ).

fof(f38251,plain,
    ! [X0] : rd(ld(sF1,sF0),x0) = ld(X0,rd(X0,mult(x0,x0))),
    inference(backward_demodulation,[],[f26481,f38249]) ).

fof(f38249,plain,
    rd(ld(sF1,sF0),x0) = ld(rd(sF1,ld(x0,sF0)),sF0),
    inference(backward_demodulation,[],[f26521,f38246]) ).

fof(f38246,plain,
    rd(ld(sF1,sF0),x0) = ld(sF1,rd(rd(sF0,rd(x0,x0)),x0)),
    inference(forward_demodulation,[],[f38135,f3663]) ).

fof(f38135,plain,
    rd(ld(x0,rd(x0,x0)),x0) = ld(sF1,rd(rd(sF0,rd(x0,x0)),x0)),
    inference(superposition,[],[f923,f37897]) ).

fof(f923,plain,
    ! [X0] : rd(ld(x0,X0),x0) = ld(sF1,rd(mult(sF0,X0),x0)),
    inference(superposition,[],[f2,f171]) ).

fof(f171,plain,
    ! [X0] : mult(sF1,rd(ld(x0,X0),x0)) = rd(mult(sF0,X0),x0),
    inference(superposition,[],[f73,f1]) ).

fof(f73,plain,
    ! [X0] : mult(sF1,rd(X0,x0)) = rd(mult(sF0,mult(x0,X0)),x0),
    inference(superposition,[],[f4,f38]) ).

fof(f38,plain,
    ! [X0] : mult(mult(sF1,rd(X0,x0)),x0) = mult(sF0,mult(x0,X0)),
    inference(superposition,[],[f32,f3]) ).

fof(f26521,plain,
    ld(rd(sF1,ld(x0,sF0)),sF0) = ld(sF1,rd(rd(sF0,rd(x0,x0)),x0)),
    inference(forward_demodulation,[],[f26476,f18251]) ).

fof(f18251,plain,
    ! [X0,X1] : ld(mult(X1,mult(x0,X0)),X1) = ld(sF1,rd(rd(sF0,rd(X0,x0)),x0)),
    inference(superposition,[],[f16507,f11487]) ).

fof(f11487,plain,
    ! [X0] : rd(rd(sF0,rd(X0,x0)),x0) = rd(sF1,mult(x0,X0)),
    inference(superposition,[],[f15,f11398]) ).

fof(f11398,plain,
    ! [X0] : mult(x0,X0) = ld(rd(rd(sF0,rd(X0,x0)),x0),sF1),
    inference(superposition,[],[f11135,f3]) ).

fof(f11135,plain,
    ! [X0] : mult(x0,mult(X0,x0)) = ld(rd(rd(sF0,X0),x0),sF1),
    inference(superposition,[],[f4712,f8]) ).

fof(f16507,plain,
    ! [X2,X0,X1] : ld(X0,rd(X0,X1)) = ld(mult(X2,X1),X2),
    inference(superposition,[],[f16212,f3]) ).

fof(f16212,plain,
    ! [X2,X0,X1] : ld(mult(X1,X0),X1) = ld(mult(X2,X0),X2),
    inference(superposition,[],[f16084,f16084]) ).

fof(f26476,plain,
    ! [X0] : ld(mult(X0,mult(x0,x0)),X0) = ld(rd(sF1,ld(x0,sF0)),sF0),
    inference(superposition,[],[f16212,f26248]) ).

fof(f26248,plain,
    rd(sF1,ld(x0,sF0)) = mult(sF0,mult(x0,x0)),
    inference(superposition,[],[f17467,f8]) ).

fof(f17467,plain,
    ! [X0] : mult(sF0,mult(X0,X0)) = rd(mult(sF0,X0),ld(X0,sF0)),
    inference(backward_demodulation,[],[f15363,f17164]) ).

fof(f15363,plain,
    ! [X0] : mult(mult(sF0,X0),ld(sF0,X0)) = mult(sF0,mult(X0,X0)),
    inference(forward_demodulation,[],[f15362,f11197]) ).

fof(f11197,plain,
    ! [X0] : ld(rd(x1,mult(sF0,X0)),rd(mult(x1,rd(X0,sF0)),sF0)) = mult(sF0,mult(X0,X0)),
    inference(forward_demodulation,[],[f11196,f293]) ).

fof(f293,plain,
    ! [X0] : mult(x1,mult(sF0,X0)) = rd(mult(x1,rd(X0,sF0)),sF0),
    inference(forward_demodulation,[],[f292,f215]) ).

fof(f292,plain,
    ! [X0] : mult(x1,mult(sF0,X0)) = rd(mult(x1,mult(X0,sF0)),sF0),
    inference(forward_demodulation,[],[f222,f215]) ).

fof(f222,plain,
    ! [X0] : mult(x1,mult(sF0,X0)) = mult(mult(x1,mult(X0,sF0)),sF0),
    inference(superposition,[],[f31,f208]) ).

fof(f11196,plain,
    ! [X0] : ld(rd(x1,mult(sF0,X0)),mult(x1,mult(sF0,X0))) = mult(sF0,mult(X0,X0)),
    inference(forward_demodulation,[],[f11195,f10387]) ).

fof(f11195,plain,
    ! [X0] : mult(mult(sF0,X0),mult(sF0,mult(sF0,X0))) = mult(sF0,mult(X0,X0)),
    inference(forward_demodulation,[],[f11194,f439]) ).

fof(f11194,plain,
    ! [X0] : mult(mult(sF0,X0),mult(sF0,mult(sF0,X0))) = rd(ld(sF0,rd(mult(X0,X0),sF0)),sF0),
    inference(forward_demodulation,[],[f11193,f415]) ).

fof(f415,plain,
    ! [X0] : ld(x1,rd(mult(x1,X0),sF0)) = rd(ld(sF0,X0),sF0),
    inference(backward_demodulation,[],[f258,f406]) ).

fof(f406,plain,
    ! [X0] : mult(sF0,rd(X0,sF0)) = rd(ld(sF0,X0),sF0),
    inference(superposition,[],[f329,f391]) ).

fof(f258,plain,
    ! [X0] : mult(sF0,rd(X0,sF0)) = ld(x1,rd(mult(x1,X0),sF0)),
    inference(forward_demodulation,[],[f230,f215]) ).

fof(f230,plain,
    ! [X0] : ld(x1,mult(mult(x1,X0),sF0)) = mult(sF0,rd(X0,sF0)),
    inference(backward_demodulation,[],[f57,f215]) ).

fof(f11193,plain,
    ! [X0] : mult(mult(sF0,X0),mult(sF0,mult(sF0,X0))) = ld(x1,rd(mult(x1,rd(mult(X0,X0),sF0)),sF0)),
    inference(forward_demodulation,[],[f11089,f6916]) ).

fof(f6916,plain,
    ! [X0,X1] : rd(mult(X1,rd(mult(X0,X0),sF0)),sF0) = mult(mult(X1,rd(X0,sF0)),mult(sF0,X0)),
    inference(forward_demodulation,[],[f6915,f3]) ).

fof(f6915,plain,
    ! [X0,X1] : mult(mult(X1,rd(X0,sF0)),mult(sF0,mult(rd(X0,sF0),sF0))) = rd(mult(X1,rd(mult(X0,X0),sF0)),sF0),
    inference(forward_demodulation,[],[f6914,f329]) ).

fof(f6914,plain,
    ! [X0,X1] : mult(mult(X1,rd(X0,sF0)),mult(sF0,mult(rd(X0,sF0),sF0))) = rd(mult(X1,rd(mult(rd(rd(X0,sF0),sF0),X0),sF0)),sF0),
    inference(forward_demodulation,[],[f6913,f416]) ).

fof(f416,plain,
    ! [X0,X1] : rd(mult(rd(X0,sF0),X1),sF0) = mult(X0,rd(ld(sF0,X1),sF0)),
    inference(backward_demodulation,[],[f340,f406]) ).

fof(f340,plain,
    ! [X0,X1] : mult(X0,mult(sF0,rd(X1,sF0))) = rd(mult(rd(X0,sF0),X1),sF0),
    inference(forward_demodulation,[],[f339,f215]) ).

fof(f339,plain,
    ! [X0,X1] : mult(X0,mult(sF0,mult(X1,sF0))) = rd(mult(rd(X0,sF0),X1),sF0),
    inference(forward_demodulation,[],[f328,f215]) ).

fof(f328,plain,
    ! [X0,X1] : mult(X0,mult(sF0,mult(X1,sF0))) = rd(mult(mult(X0,sF0),X1),sF0),
    inference(superposition,[],[f215,f5]) ).

fof(f6913,plain,
    ! [X0,X1] : mult(mult(X1,rd(X0,sF0)),mult(sF0,mult(rd(X0,sF0),sF0))) = rd(mult(X1,mult(rd(X0,sF0),rd(ld(sF0,X0),sF0))),sF0),
    inference(forward_demodulation,[],[f6808,f215]) ).

fof(f6808,plain,
    ! [X0,X1] : mult(mult(X1,rd(X0,sF0)),mult(sF0,mult(rd(X0,sF0),sF0))) = mult(mult(X1,mult(rd(X0,sF0),rd(ld(sF0,X0),sF0))),sF0),
    inference(superposition,[],[f33,f406]) ).

fof(f33,plain,
    ! [X2,X0,X1] : mult(mult(X0,X1),mult(X2,mult(X1,X2))) = mult(mult(X0,mult(X1,mult(X2,X1))),X2),
    inference(superposition,[],[f5,f5]) ).

fof(f11089,plain,
    ! [X0] : mult(mult(sF0,X0),mult(sF0,mult(sF0,X0))) = ld(x1,mult(mult(x1,rd(X0,sF0)),mult(sF0,X0))),
    inference(superposition,[],[f4712,f1491]) ).

fof(f1491,plain,
    ! [X0] : x1 = rd(rd(mult(x1,rd(X0,sF0)),sF0),mult(sF0,X0)),
    inference(superposition,[],[f827,f439]) ).

fof(f827,plain,
    ! [X0] : x1 = rd(rd(mult(x1,X0),sF0),rd(ld(sF0,X0),sF0)),
    inference(superposition,[],[f15,f415]) ).

fof(f15362,plain,
    ! [X0] : mult(mult(sF0,X0),ld(sF0,X0)) = ld(rd(x1,mult(sF0,X0)),rd(mult(x1,rd(X0,sF0)),sF0)),
    inference(forward_demodulation,[],[f15142,f293]) ).

fof(f15142,plain,
    ! [X0] : mult(mult(sF0,X0),ld(sF0,X0)) = ld(rd(x1,mult(sF0,X0)),mult(x1,mult(sF0,X0))),
    inference(backward_demodulation,[],[f10619,f14955]) ).

fof(f10619,plain,
    ! [X0] : mult(mult(rd(sF0,sF0),X0),ld(sF0,X0)) = ld(rd(x1,mult(rd(sF0,sF0),X0)),mult(x1,mult(rd(sF0,sF0),X0))),
    inference(superposition,[],[f10387,f1727]) ).

fof(f26481,plain,
    ! [X0] : ld(rd(sF1,ld(x0,sF0)),sF0) = ld(X0,rd(X0,mult(x0,x0))),
    inference(superposition,[],[f16507,f26248]) ).

fof(f16745,plain,
    ! [X2,X0,X1] : mult(X2,X0) = rd(X2,ld(X1,rd(X1,X0))),
    inference(superposition,[],[f13638,f16235]) ).

fof(f16235,plain,
    ! [X0,X1] : rd(ld(X1,X1),X1) = ld(X0,rd(X0,X1)),
    inference(superposition,[],[f16084,f3]) ).

fof(f36414,plain,
    ! [X1] : mult(rd(X1,x0),mult(x0,x0)) = mult(rd(X1,rd(x0,x0)),x0),
    inference(forward_demodulation,[],[f36413,f36396]) ).

fof(f36413,plain,
    ! [X0,X1] : mult(rd(X1,x0),mult(x0,x0)) = mult(rd(X1,ld(ld(X0,rd(X0,x0)),ld(sF1,sF0))),x0),
    inference(forward_demodulation,[],[f36279,f17164]) ).

fof(f36279,plain,
    ! [X0,X1] : mult(mult(X1,ld(ld(sF1,sF0),ld(X0,rd(X0,x0)))),x0) = mult(rd(X1,x0),mult(x0,x0)),
    inference(superposition,[],[f30,f16290]) ).

fof(f38907,plain,
    ld(mult(x0,x0),mult(x0,x0)) = rd(rd(ld(sF1,sF0),x0),rd(ld(sF1,sF0),x0)),
    inference(forward_demodulation,[],[f38814,f38813]) ).

fof(f38814,plain,
    ld(mult(x0,x0),mult(x0,x0)) = mult(rd(ld(sF1,sF0),x0),mult(x0,x0)),
    inference(superposition,[],[f16746,f38251]) ).

fof(f16746,plain,
    ! [X0,X1] : ld(X0,X0) = mult(ld(X1,rd(X1,X0)),X0),
    inference(superposition,[],[f3,f16235]) ).

fof(f41173,plain,
    ld(mult(x0,x0),mult(x0,x0)) = rd(rd(x0,x0),rd(x0,x0)),
    inference(forward_demodulation,[],[f41172,f39186]) ).

fof(f39186,plain,
    ! [X0] : rd(X0,rd(x0,x0)) = mult(rd(rd(X0,x0),rd(x0,x0)),x0),
    inference(backward_demodulation,[],[f39051,f39086]) ).

fof(f39051,plain,
    ! [X0] : rd(X0,ld(x0,x0)) = mult(rd(rd(X0,x0),rd(x0,x0)),x0),
    inference(forward_demodulation,[],[f39050,f17164]) ).

fof(f39050,plain,
    ! [X0] : mult(X0,ld(x0,x0)) = mult(rd(rd(X0,x0),rd(x0,x0)),x0),
    inference(forward_demodulation,[],[f39049,f12748]) ).

fof(f12748,plain,
    ! [X2,X0,X1] : mult(rd(X0,mult(X1,X2)),X1) = rd(rd(X0,X1),rd(X2,X1)),
    inference(superposition,[],[f4943,f3]) ).

fof(f4943,plain,
    ! [X2,X0,X1] : mult(X0,X1) = rd(rd(mult(X0,mult(X1,X2)),X1),rd(X2,X1)),
    inference(superposition,[],[f4,f1559]) ).

fof(f1559,plain,
    ! [X2,X0,X1] : mult(mult(X2,X1),rd(X0,X1)) = rd(mult(X2,mult(X1,X0)),X1),
    inference(superposition,[],[f35,f3]) ).

fof(f39049,plain,
    ! [X0] : mult(X0,ld(x0,x0)) = mult(mult(rd(X0,mult(x0,x0)),x0),x0),
    inference(forward_demodulation,[],[f39048,f39016]) ).

fof(f39048,plain,
    ! [X0] : mult(X0,ld(x0,x0)) = mult(mult(rd(X0,mult(x0,x0)),x0),mult(ld(x0,x0),x0)),
    inference(forward_demodulation,[],[f39047,f17836]) ).

fof(f17836,plain,
    ! [X2,X3,X1] : mult(X3,mult(ld(X1,X2),X2)) = rd(X3,ld(X2,rd(rd(X1,X1),ld(X1,X2)))),
    inference(forward_demodulation,[],[f17835,f17164]) ).

fof(f17835,plain,
    ! [X2,X3,X1] : mult(X3,mult(ld(X1,X2),X2)) = mult(X3,ld(rd(rd(X1,X1),ld(X1,X2)),X2)),
    inference(forward_demodulation,[],[f17834,f17258]) ).

fof(f17258,plain,
    ! [X2,X0,X1] : ld(rd(rd(X0,X2),ld(X0,X1)),X1) = mult(ld(X0,X1),rd(X2,ld(X1,X0))),
    inference(backward_demodulation,[],[f11104,f17164]) ).

fof(f17834,plain,
    ! [X2,X3,X1] : mult(X3,mult(ld(X1,X2),X2)) = mult(X3,mult(ld(X1,X2),rd(X1,ld(X2,X1)))),
    inference(forward_demodulation,[],[f17833,f17164]) ).

fof(f17833,plain,
    ! [X2,X3,X1] : mult(X3,mult(ld(X1,X2),X2)) = mult(X3,mult(ld(X1,X2),mult(X1,ld(X1,X2)))),
    inference(forward_demodulation,[],[f17187,f17186]) ).

fof(f17186,plain,
    ! [X2,X3,X0,X1] : mult(X3,mult(X1,mult(X2,X1))) = rd(X3,ld(mult(mult(X0,X2),X1),rd(X0,X1))),
    inference(superposition,[],[f16249,f30]) ).

fof(f17187,plain,
    ! [X2,X3,X0,X1] : mult(X3,mult(ld(X1,X2),X2)) = rd(X3,ld(mult(mult(X0,X1),ld(X1,X2)),rd(X0,ld(X1,X2)))),
    inference(superposition,[],[f16249,f185]) ).

fof(f39047,plain,
    ! [X0] : mult(X0,ld(x0,x0)) = rd(mult(rd(X0,mult(x0,x0)),x0),ld(x0,rd(rd(x0,x0),ld(x0,x0)))),
    inference(forward_demodulation,[],[f39046,f21418]) ).

fof(f21418,plain,
    ! [X0,X1] : rd(mult(X1,rd(mult(X0,X0),ld(X0,X0))),ld(X0,X0)) = rd(mult(X1,X0),ld(X0,rd(rd(X0,X0),ld(X0,X0)))),
    inference(forward_demodulation,[],[f21417,f17164]) ).

fof(f21417,plain,
    ! [X0,X1] : rd(mult(X1,rd(mult(X0,X0),ld(X0,X0))),ld(X0,X0)) = mult(mult(X1,X0),ld(rd(rd(X0,X0),ld(X0,X0)),X0)),
    inference(forward_demodulation,[],[f21416,f17258]) ).

fof(f21416,plain,
    ! [X0,X1] : rd(mult(X1,rd(mult(X0,X0),ld(X0,X0))),ld(X0,X0)) = mult(mult(X1,X0),mult(ld(X0,X0),rd(X0,ld(X0,X0)))),
    inference(forward_demodulation,[],[f21415,f17164]) ).

fof(f21415,plain,
    ! [X0,X1] : mult(mult(X1,X0),mult(ld(X0,X0),mult(X0,ld(X0,X0)))) = rd(mult(X1,rd(mult(X0,X0),ld(X0,X0))),ld(X0,X0)),
    inference(forward_demodulation,[],[f21414,f19660]) ).

fof(f19660,plain,
    ! [X2,X3,X0,X1] : mult(rd(X0,ld(X2,X3)),mult(ld(X2,X3),X1)) = rd(mult(X0,rd(X1,ld(X2,X3))),ld(X3,X2)),
    inference(superposition,[],[f17164,f191]) ).

fof(f21414,plain,
    ! [X0,X1] : mult(mult(X1,X0),mult(ld(X0,X0),mult(X0,ld(X0,X0)))) = mult(rd(X1,ld(X0,X0)),mult(ld(X0,X0),mult(X0,X0))),
    inference(forward_demodulation,[],[f21099,f191]) ).

fof(f21099,plain,
    ! [X0,X1] : mult(mult(X1,X0),mult(ld(X0,X0),mult(X0,ld(X0,X0)))) = mult(mult(X1,rd(mult(X0,X0),ld(X0,X0))),ld(X0,X0)),
    inference(superposition,[],[f33,f17386]) ).

fof(f17386,plain,
    ! [X0,X1] : mult(X0,mult(ld(X0,X1),X1)) = rd(mult(X1,X0),ld(X1,X0)),
    inference(backward_demodulation,[],[f4205,f17164]) ).

fof(f4205,plain,
    ! [X0,X1] : mult(mult(X1,X0),ld(X0,X1)) = mult(X0,mult(ld(X0,X1),X1)),
    inference(superposition,[],[f28,f1]) ).

fof(f39046,plain,
    ! [X0] : mult(X0,ld(x0,x0)) = rd(mult(rd(X0,mult(x0,x0)),rd(mult(x0,x0),ld(x0,x0))),ld(x0,x0)),
    inference(forward_demodulation,[],[f39000,f19660]) ).

fof(f39000,plain,
    ! [X0] : mult(X0,ld(x0,x0)) = mult(rd(rd(X0,mult(x0,x0)),ld(x0,x0)),mult(ld(x0,x0),mult(x0,x0))),
    inference(superposition,[],[f3193,f38958]) ).

fof(f41172,plain,
    ld(mult(x0,x0),mult(x0,x0)) = mult(rd(rd(rd(x0,x0),x0),rd(x0,x0)),x0),
    inference(forward_demodulation,[],[f41171,f39553]) ).

fof(f39553,plain,
    ! [X1] : mult(rd(X1,rd(x0,x0)),x0) = rd(rd(X1,x0),rd(rd(rd(x0,x0),x0),x0)),
    inference(backward_demodulation,[],[f38887,f39124]) ).

fof(f41171,plain,
    ld(mult(x0,x0),mult(x0,x0)) = rd(rd(rd(rd(x0,x0),x0),x0),rd(rd(rd(x0,x0),x0),x0)),
    inference(forward_demodulation,[],[f41170,f40260]) ).

fof(f40260,plain,
    rd(rd(rd(x0,x0),x0),x0) = ld(x0,rd(rd(x0,x0),x0)),
    inference(backward_demodulation,[],[f40043,f40256]) ).

fof(f40256,plain,
    ! [X0] : rd(X0,x0) = mult(X0,rd(rd(x0,x0),x0)),
    inference(forward_demodulation,[],[f40238,f11]) ).

fof(f40238,plain,
    ! [X0] : rd(X0,ld(sF0,sF1)) = mult(X0,rd(rd(x0,x0),x0)),
    inference(superposition,[],[f17164,f39124]) ).

fof(f40043,plain,
    ld(x0,rd(rd(x0,x0),x0)) = mult(rd(rd(x0,x0),x0),rd(rd(x0,x0),x0)),
    inference(forward_demodulation,[],[f40042,f40018]) ).

fof(f40018,plain,
    ld(rd(x0,x0),rd(rd(rd(x0,x0),x0),x0)) = ld(x0,rd(rd(x0,x0),x0)),
    inference(forward_demodulation,[],[f39149,f39124]) ).

fof(f39149,plain,
    ld(x0,ld(sF1,sF0)) = ld(rd(x0,x0),rd(rd(rd(x0,x0),x0),x0)),
    inference(backward_demodulation,[],[f13308,f39086]) ).

fof(f13308,plain,
    ld(x0,ld(sF1,sF0)) = ld(ld(x0,x0),rd(rd(rd(x0,x0),x0),x0)),
    inference(forward_demodulation,[],[f13307,f1047]) ).

fof(f13307,plain,
    ld(x0,ld(sF1,sF0)) = ld(ld(x0,x0),rd(mult(rd(x0,x0),ld(sF1,sF0)),x0)),
    inference(forward_demodulation,[],[f13306,f9940]) ).

fof(f9940,plain,
    ! [X2,X0,X1] : mult(X2,rd(ld(X0,X1),X0)) = rd(mult(rd(X2,X0),X1),X0),
    inference(superposition,[],[f3206,f1]) ).

fof(f3206,plain,
    ! [X2,X0,X1] : mult(X0,rd(X1,X2)) = rd(mult(rd(X0,X2),mult(X2,X1)),X2),
    inference(superposition,[],[f4,f191]) ).

fof(f13306,plain,
    ld(x0,ld(sF1,sF0)) = ld(ld(x0,x0),mult(x0,rd(ld(x0,ld(sF1,sF0)),x0))),
    inference(forward_demodulation,[],[f13158,f1047]) ).

fof(f13158,plain,
    ld(x0,ld(sF1,sF0)) = ld(ld(x0,x0),mult(x0,mult(ld(x0,ld(sF1,sF0)),ld(sF1,sF0)))),
    inference(superposition,[],[f5328,f998]) ).

fof(f5328,plain,
    ! [X0,X1] : ld(X1,X0) = ld(mult(X0,X1),mult(X1,mult(ld(X1,X0),X0))),
    inference(superposition,[],[f2,f4205]) ).

fof(f40042,plain,
    ld(rd(x0,x0),rd(rd(rd(x0,x0),x0),x0)) = mult(rd(rd(x0,x0),x0),rd(rd(x0,x0),x0)),
    inference(forward_demodulation,[],[f39172,f39124]) ).

fof(f39172,plain,
    mult(ld(sF1,sF0),rd(rd(x0,x0),x0)) = ld(rd(x0,x0),rd(ld(sF1,sF0),x0)),
    inference(backward_demodulation,[],[f37962,f39086]) ).

fof(f37962,plain,
    mult(ld(sF1,sF0),rd(rd(x0,x0),x0)) = ld(ld(x0,x0),rd(ld(sF1,sF0),x0)),
    inference(forward_demodulation,[],[f37961,f998]) ).

fof(f37961,plain,
    mult(ld(sF1,sF0),rd(rd(x0,x0),x0)) = ld(mult(ld(sF1,sF0),x0),rd(ld(sF1,sF0),x0)),
    inference(forward_demodulation,[],[f37960,f10546]) ).

fof(f10546,plain,
    ! [X0,X1] : mult(ld(sF1,sF0),rd(ld(X0,X1),x0)) = ld(mult(X0,x0),rd(X1,x0)),
    inference(forward_demodulation,[],[f10545,f1035]) ).

fof(f10545,plain,
    ! [X0,X1] : mult(ld(sF1,sF0),rd(ld(X0,X1),x0)) = ld(rd(X0,ld(sF1,sF0)),rd(X1,x0)),
    inference(forward_demodulation,[],[f10414,f1047]) ).

fof(f10414,plain,
    ! [X0,X1] : ld(rd(X0,ld(sF1,sF0)),mult(X1,ld(sF1,sF0))) = mult(ld(sF1,sF0),rd(ld(X0,X1),x0)),
    inference(superposition,[],[f4702,f1047]) ).

fof(f37960,plain,
    mult(ld(sF1,sF0),rd(rd(x0,x0),x0)) = mult(ld(sF1,sF0),rd(ld(ld(sF1,sF0),ld(sF1,sF0)),x0)),
    inference(forward_demodulation,[],[f37959,f21178]) ).

fof(f21178,plain,
    ! [X0,X1] : mult(X0,rd(ld(X0,ld(sF1,sF0)),x0)) = rd(mult(ld(X1,rd(X1,x0)),X0),ld(ld(X1,rd(X1,x0)),X0)),
    inference(forward_demodulation,[],[f21177,f14]) ).

fof(f21177,plain,
    ! [X0,X1] : rd(mult(ld(X1,rd(X1,x0)),X0),ld(ld(X1,rd(X1,x0)),X0)) = mult(X0,rd(ld(X0,ld(sF1,sF0)),ld(rd(X1,x0),X1))),
    inference(forward_demodulation,[],[f21022,f17164]) ).

fof(f21022,plain,
    ! [X0,X1] : mult(X0,mult(ld(X0,ld(sF1,sF0)),ld(X1,rd(X1,x0)))) = rd(mult(ld(X1,rd(X1,x0)),X0),ld(ld(X1,rd(X1,x0)),X0)),
    inference(superposition,[],[f17386,f3979]) ).

fof(f37959,plain,
    ! [X0] : rd(mult(ld(X0,rd(X0,x0)),ld(sF1,sF0)),ld(ld(X0,rd(X0,x0)),ld(sF1,sF0))) = mult(ld(sF1,sF0),rd(rd(x0,x0),x0)),
    inference(forward_demodulation,[],[f37958,f14]) ).

fof(f37958,plain,
    ! [X0] : rd(mult(ld(X0,rd(X0,x0)),ld(sF1,sF0)),ld(ld(X0,rd(X0,x0)),ld(sF1,sF0))) = mult(ld(sF1,sF0),rd(rd(x0,x0),ld(rd(X0,x0),X0))),
    inference(forward_demodulation,[],[f37831,f17164]) ).

fof(f37831,plain,
    ! [X0] : rd(mult(ld(X0,rd(X0,x0)),ld(sF1,sF0)),ld(ld(X0,rd(X0,x0)),ld(sF1,sF0))) = mult(ld(sF1,sF0),mult(rd(x0,x0),ld(X0,rd(X0,x0)))),
    inference(superposition,[],[f17386,f36276]) ).

fof(f41170,plain,
    ld(mult(x0,x0),mult(x0,x0)) = rd(ld(x0,rd(rd(x0,x0),x0)),rd(rd(rd(x0,x0),x0),x0)),
    inference(forward_demodulation,[],[f41118,f39540]) ).

fof(f39540,plain,
    ! [X1] : mult(X1,mult(x0,x0)) = rd(X1,rd(rd(rd(x0,x0),x0),x0)),
    inference(backward_demodulation,[],[f38813,f39124]) ).

fof(f41118,plain,
    ld(mult(x0,x0),mult(x0,x0)) = mult(ld(x0,rd(rd(x0,x0),x0)),mult(x0,x0)),
    inference(superposition,[],[f16746,f40267]) ).

fof(f40267,plain,
    rd(rd(x0,x0),x0) = rd(x0,mult(x0,x0)),
    inference(backward_demodulation,[],[f39709,f40263]) ).

fof(f40263,plain,
    ! [X0] : rd(X0,mult(x0,x0)) = rd(rd(rd(X0,x0),x0),rd(x0,x0)),
    inference(backward_demodulation,[],[f38704,f40257]) ).

fof(f40257,plain,
    ! [X0] : rd(rd(X0,x0),rd(x0,x0)) = rd(rd(X0,rd(x0,x0)),x0),
    inference(backward_demodulation,[],[f38018,f40256]) ).

fof(f38018,plain,
    ! [X0] : rd(rd(X0,rd(x0,x0)),x0) = rd(mult(X0,rd(rd(x0,x0),x0)),rd(x0,x0)),
    inference(forward_demodulation,[],[f38017,f37897]) ).

fof(f38017,plain,
    ! [X0] : rd(mult(X0,rd(x0,x0)),x0) = rd(mult(X0,rd(rd(x0,x0),x0)),rd(x0,x0)),
    inference(forward_demodulation,[],[f38016,f11]) ).

fof(f38016,plain,
    ! [X0] : rd(mult(X0,rd(x0,x0)),x0) = rd(mult(X0,rd(rd(x0,x0),ld(sF0,sF1))),rd(x0,x0)),
    inference(forward_demodulation,[],[f38015,f17164]) ).

fof(f38015,plain,
    ! [X0] : rd(mult(X0,rd(x0,x0)),x0) = rd(mult(X0,mult(rd(x0,x0),ld(sF1,sF0))),rd(x0,x0)),
    inference(forward_demodulation,[],[f38014,f11]) ).

fof(f38014,plain,
    ! [X0] : rd(mult(X0,mult(rd(x0,x0),ld(sF1,sF0))),rd(x0,x0)) = rd(mult(X0,rd(x0,x0)),ld(sF0,sF1)),
    inference(forward_demodulation,[],[f37983,f17164]) ).

fof(f37983,plain,
    ! [X0] : rd(mult(X0,mult(rd(x0,x0),ld(sF1,sF0))),rd(x0,x0)) = mult(mult(X0,rd(x0,x0)),ld(sF1,sF0)),
    inference(superposition,[],[f1559,f37825]) ).

fof(f38704,plain,
    ! [X0] : rd(X0,mult(x0,x0)) = rd(rd(rd(X0,x0),rd(x0,x0)),x0),
    inference(forward_demodulation,[],[f38703,f37897]) ).

fof(f38703,plain,
    ! [X0] : rd(X0,mult(x0,x0)) = rd(mult(rd(X0,x0),rd(x0,x0)),x0),
    inference(forward_demodulation,[],[f38702,f9941]) ).

fof(f9941,plain,
    ! [X0,X1] : mult(X1,rd(ld(sF1,sF0),X0)) = rd(mult(rd(X1,X0),rd(X0,x0)),X0),
    inference(superposition,[],[f3206,f1047]) ).

fof(f38702,plain,
    ! [X0] : rd(X0,mult(x0,x0)) = mult(X0,rd(ld(sF1,sF0),x0)),
    inference(forward_demodulation,[],[f38630,f26457]) ).

fof(f26457,plain,
    mult(x0,x0) = ld(sF0,rd(sF1,ld(x0,sF0))),
    inference(superposition,[],[f2,f26248]) ).

fof(f38630,plain,
    ! [X0] : mult(X0,rd(ld(sF1,sF0),x0)) = rd(X0,ld(sF0,rd(sF1,ld(x0,sF0)))),
    inference(superposition,[],[f16745,f38581]) ).

fof(f38581,plain,
    rd(sF0,rd(ld(sF1,sF0),x0)) = rd(sF1,ld(x0,sF0)),
    inference(backward_demodulation,[],[f11983,f38525]) ).

fof(f38525,plain,
    mult(rd(sF1,rd(x0,x0)),x0) = rd(sF1,ld(x0,sF0)),
    inference(superposition,[],[f3,f37901]) ).

fof(f37901,plain,
    rd(sF1,rd(x0,x0)) = rd(rd(sF1,ld(x0,sF0)),x0),
    inference(backward_demodulation,[],[f26441,f37897]) ).

fof(f26441,plain,
    mult(sF1,rd(x0,x0)) = rd(rd(sF1,ld(x0,sF0)),x0),
    inference(superposition,[],[f73,f26248]) ).

fof(f11983,plain,
    rd(sF0,rd(ld(sF1,sF0),x0)) = mult(rd(sF1,rd(x0,x0)),x0),
    inference(superposition,[],[f11808,f1085]) ).

fof(f11808,plain,
    ! [X0] : rd(sF0,rd(ld(x0,X0),x0)) = mult(rd(sF1,X0),x0),
    inference(superposition,[],[f3,f11608]) ).

fof(f11608,plain,
    ! [X0] : rd(sF1,X0) = rd(rd(sF0,rd(ld(x0,X0),x0)),x0),
    inference(superposition,[],[f11487,f1]) ).

fof(f39709,plain,
    rd(rd(x0,x0),x0) = rd(rd(rd(x0,x0),x0),rd(x0,x0)),
    inference(backward_demodulation,[],[f37972,f39193]) ).

fof(f39193,plain,
    ! [X0] : ld(X0,rd(X0,x0)) = rd(rd(x0,x0),x0),
    inference(backward_demodulation,[],[f1085,f39124]) ).

fof(f37972,plain,
    ! [X0] : ld(X0,rd(X0,x0)) = rd(ld(X0,rd(X0,x0)),rd(x0,x0)),
    inference(superposition,[],[f37825,f1085]) ).

fof(f38169,plain,
    ld(sF0,rd(x0,x0)) = ld(rd(sF0,rd(x0,x0)),mult(sF0,rd(rd(x0,x0),rd(x0,x0)))),
    inference(forward_demodulation,[],[f38070,f37897]) ).

fof(f38070,plain,
    ld(sF0,rd(x0,x0)) = ld(mult(sF0,rd(x0,x0)),mult(sF0,rd(rd(x0,x0),rd(x0,x0)))),
    inference(superposition,[],[f25715,f37897]) ).

fof(f25715,plain,
    ! [X0] : ld(sF0,X0) = ld(mult(sF0,X0),mult(sF0,mult(X0,X0))),
    inference(superposition,[],[f14,f15978]) ).

fof(f15978,plain,
    ! [X0] : mult(sF0,X0) = rd(mult(sF0,mult(X0,X0)),ld(sF0,X0)),
    inference(forward_demodulation,[],[f15977,f11197]) ).

fof(f15977,plain,
    ! [X0] : mult(sF0,X0) = rd(ld(rd(x1,mult(sF0,X0)),rd(mult(x1,rd(X0,sF0)),sF0)),ld(sF0,X0)),
    inference(forward_demodulation,[],[f15915,f293]) ).

fof(f15915,plain,
    ! [X0] : mult(sF0,X0) = rd(ld(rd(x1,mult(sF0,X0)),mult(x1,mult(sF0,X0))),ld(sF0,X0)),
    inference(superposition,[],[f10646,f14965]) ).

fof(f14965,plain,
    ! [X0] : ld(sF0,X0) = mult(sF0,mult(sF0,X0)),
    inference(backward_demodulation,[],[f1727,f14955]) ).

fof(f10646,plain,
    ! [X0] : rd(ld(rd(x1,X0),mult(x1,X0)),mult(sF0,X0)) = X0,
    inference(superposition,[],[f4,f10387]) ).

fof(f38435,plain,
    ld(rd(x1,rd(x0,x0)),rd(x1,rd(x0,x0))) = rd(ld(rd(x0,x0),sF0),rd(x0,x0)),
    inference(backward_demodulation,[],[f38253,f38427]) ).

fof(f38427,plain,
    ! [X1] : mult(rd(x0,x0),rd(X1,rd(x0,x0))) = rd(ld(rd(x0,x0),X1),rd(x0,x0)),
    inference(forward_demodulation,[],[f38426,f37897]) ).

fof(f38426,plain,
    ! [X1] : mult(rd(x0,x0),mult(X1,rd(x0,x0))) = rd(ld(rd(x0,x0),X1),rd(x0,x0)),
    inference(forward_demodulation,[],[f38425,f33281]) ).

fof(f33281,plain,
    ! [X2,X0,X1] : rd(ld(X1,X2),X1) = ld(X0,rd(mult(rd(X0,X1),X2),X1)),
    inference(forward_demodulation,[],[f33280,f16207]) ).

fof(f16207,plain,
    ! [X2,X0,X1] : rd(ld(X2,X1),X2) = ld(mult(rd(X0,X1),X2),rd(X0,X2)),
    inference(forward_demodulation,[],[f16206,f3]) ).

fof(f16206,plain,
    ! [X2,X0,X1] : ld(mult(rd(X0,X1),X2),rd(X0,X2)) = rd(ld(X2,mult(rd(X1,X2),X2)),X2),
    inference(forward_demodulation,[],[f16205,f16168]) ).

fof(f16168,plain,
    ! [X2,X1] : rd(ld(X1,X2),X1) = mult(rd(ld(X1,X1),X1),rd(X2,X1)),
    inference(forward_demodulation,[],[f16167,f12476]) ).

fof(f12476,plain,
    ! [X2,X0,X1] : rd(ld(X0,X1),X0) = ld(mult(X2,X0),rd(mult(X2,X1),X0)),
    inference(superposition,[],[f4942,f1]) ).

fof(f4942,plain,
    ! [X2,X0,X1] : rd(X2,X1) = ld(mult(X0,X1),rd(mult(X0,mult(X1,X2)),X1)),
    inference(superposition,[],[f2,f1559]) ).

fof(f16167,plain,
    ! [X2,X0,X1] : ld(mult(X0,X1),rd(mult(X0,X2),X1)) = mult(rd(ld(X1,X1),X1),rd(X2,X1)),
    inference(forward_demodulation,[],[f16166,f4]) ).

fof(f16166,plain,
    ! [X2,X0,X1] : ld(mult(X0,X1),rd(mult(X0,X2),X1)) = mult(rd(ld(X1,X1),X1),rd(mult(rd(X2,X1),X1),X1)),
    inference(forward_demodulation,[],[f16165,f9940]) ).

fof(f16165,plain,
    ! [X2,X0,X1] : ld(mult(X0,X1),rd(mult(X0,X2),X1)) = mult(rd(ld(X1,X1),X1),mult(X2,rd(ld(X1,X1),X1))),
    inference(forward_demodulation,[],[f16164,f4]) ).

fof(f16164,plain,
    ! [X2,X0,X1] : mult(rd(ld(X1,X1),X1),mult(X2,rd(ld(X1,X1),X1))) = ld(mult(X0,X1),rd(mult(rd(mult(X0,X2),X1),X1),X1)),
    inference(forward_demodulation,[],[f16087,f9940]) ).

fof(f16087,plain,
    ! [X2,X0,X1] : mult(rd(ld(X1,X1),X1),mult(X2,rd(ld(X1,X1),X1))) = ld(mult(X0,X1),mult(mult(X0,X2),rd(ld(X1,X1),X1))),
    inference(superposition,[],[f200,f13638]) ).

fof(f16205,plain,
    ! [X2,X0,X1] : ld(mult(rd(X0,X1),X2),rd(X0,X2)) = mult(rd(ld(X2,X2),X2),rd(mult(rd(X1,X2),X2),X2)),
    inference(forward_demodulation,[],[f16204,f9940]) ).

fof(f16204,plain,
    ! [X2,X0,X1] : mult(rd(ld(X2,X2),X2),mult(X1,rd(ld(X2,X2),X2))) = ld(mult(rd(X0,X1),X2),rd(X0,X2)),
    inference(forward_demodulation,[],[f16203,f4]) ).

fof(f16203,plain,
    ! [X2,X0,X1] : mult(rd(ld(X2,X2),X2),mult(X1,rd(ld(X2,X2),X2))) = ld(mult(rd(X0,X1),X2),rd(mult(rd(X0,X2),X2),X2)),
    inference(forward_demodulation,[],[f16102,f9940]) ).

fof(f16102,plain,
    ! [X2,X0,X1] : mult(rd(ld(X2,X2),X2),mult(X1,rd(ld(X2,X2),X2))) = ld(mult(rd(X0,X1),X2),mult(X0,rd(ld(X2,X2),X2))),
    inference(superposition,[],[f4712,f13638]) ).

fof(f33280,plain,
    ! [X2,X0,X1] : ld(X0,rd(mult(rd(X0,X1),X2),X1)) = ld(mult(rd(X0,X2),X1),rd(X0,X1)),
    inference(forward_demodulation,[],[f32978,f16745]) ).

fof(f32978,plain,
    ! [X2,X0,X1] : ld(rd(rd(X0,X2),ld(X0,rd(X0,X1))),rd(X0,X1)) = ld(X0,rd(mult(rd(X0,X1),X2),X1)),
    inference(superposition,[],[f17405,f14]) ).

fof(f38425,plain,
    ! [X0,X1] : mult(rd(x0,x0),mult(X1,rd(x0,x0))) = ld(X0,rd(mult(rd(X0,rd(x0,x0)),X1),rd(x0,x0))),
    inference(forward_demodulation,[],[f38392,f37897]) ).

fof(f38392,plain,
    ! [X0,X1] : mult(rd(x0,x0),mult(X1,rd(x0,x0))) = ld(X0,mult(mult(rd(X0,rd(x0,x0)),X1),rd(x0,x0))),
    inference(superposition,[],[f200,f37967]) ).

fof(f37967,plain,
    ! [X1] : rd(rd(X1,rd(x0,x0)),rd(x0,x0)) = X1,
    inference(forward_demodulation,[],[f37834,f36396]) ).

fof(f37834,plain,
    ! [X0,X1] : rd(rd(X1,rd(x0,x0)),ld(ld(X0,rd(X0,x0)),ld(sF1,sF0))) = X1,
    inference(superposition,[],[f19662,f36276]) ).

fof(f19662,plain,
    ! [X2,X0,X1] : rd(rd(X0,ld(X1,X2)),ld(X2,X1)) = X0,
    inference(superposition,[],[f17164,f3]) ).

fof(f38253,plain,
    ld(rd(x1,rd(x0,x0)),rd(x1,rd(x0,x0))) = mult(rd(x0,x0),rd(sF0,rd(x0,x0))),
    inference(forward_demodulation,[],[f38137,f37897]) ).

fof(f38137,plain,
    ld(rd(x1,rd(x0,x0)),mult(x1,rd(x0,x0))) = mult(rd(x0,x0),rd(sF0,rd(x0,x0))),
    inference(superposition,[],[f10387,f37897]) ).

fof(f38436,plain,
    rd(x0,x0) = rd(rd(ld(rd(x0,x0),sF0),rd(x0,x0)),rd(sF0,rd(x0,x0))),
    inference(backward_demodulation,[],[f38239,f38435]) ).

fof(f38239,plain,
    rd(x0,x0) = rd(ld(rd(x1,rd(x0,x0)),rd(x1,rd(x0,x0))),rd(sF0,rd(x0,x0))),
    inference(forward_demodulation,[],[f38126,f37897]) ).

fof(f38126,plain,
    rd(x0,x0) = rd(ld(rd(x1,rd(x0,x0)),rd(x1,rd(x0,x0))),mult(sF0,rd(x0,x0))),
    inference(superposition,[],[f10646,f37897]) ).

fof(f39124,plain,
    ld(sF1,sF0) = rd(rd(x0,x0),x0),
    inference(backward_demodulation,[],[f1012,f39086]) ).

fof(f44255,plain,
    ld(sF1,sF0) = ld(x1,rd(rd(x1,x0),sF0)),
    inference(backward_demodulation,[],[f31530,f44254]) ).

fof(f44254,plain,
    sF1 = rd(sF1,sF0),
    inference(forward_demodulation,[],[f44253,f329]) ).

fof(f44253,plain,
    rd(sF1,sF0) = rd(rd(sF1,sF0),sF0),
    inference(forward_demodulation,[],[f44252,f44143]) ).

fof(f44143,plain,
    ! [X0] : rd(X0,sF0) = rd(rd(rd(X0,rd(sF0,x0)),sF0),x0),
    inference(forward_demodulation,[],[f44066,f14]) ).

fof(f44066,plain,
    ! [X0] : rd(X0,sF0) = rd(rd(rd(X0,ld(rd(x0,rd(sF0,x0)),x0)),sF0),x0),
    inference(backward_demodulation,[],[f43183,f44046]) ).

fof(f44046,plain,
    mult(sF1,sF1) = rd(x0,rd(sF0,x0)),
    inference(backward_demodulation,[],[f43927,f44045]) ).

fof(f44045,plain,
    rd(x0,rd(sF0,x0)) = ld(sF0,rd(rd(sF1,sF0),rd(sF0,x0))),
    inference(forward_demodulation,[],[f44044,f41258]) ).

fof(f41258,plain,
    ! [X0] : mult(X0,x0) = rd(X0,rd(sF0,x0)),
    inference(backward_demodulation,[],[f39192,f41187]) ).

fof(f39192,plain,
    ! [X0] : mult(X0,x0) = rd(X0,rd(rd(x0,x0),x0)),
    inference(backward_demodulation,[],[f1035,f39124]) ).

fof(f44044,plain,
    mult(x0,x0) = ld(sF0,rd(rd(sF1,sF0),rd(sF0,x0))),
    inference(forward_demodulation,[],[f44043,f43099]) ).

fof(f43099,plain,
    sF0 = mult(sF1,rd(sF0,x0)),
    inference(forward_demodulation,[],[f43098,f17]) ).

fof(f17,plain,
    sF0 = rd(sF1,x0),
    inference(superposition,[],[f4,f8]) ).

fof(f43098,plain,
    rd(sF1,x0) = mult(sF1,rd(sF0,x0)),
    inference(forward_demodulation,[],[f42981,f329]) ).

fof(f42981,plain,
    mult(sF1,rd(sF0,x0)) = rd(rd(rd(sF1,sF0),sF0),x0),
    inference(backward_demodulation,[],[f423,f42601]) ).

fof(f42601,plain,
    rd(sF1,sF0) = ld(sF0,x0),
    inference(backward_demodulation,[],[f432,f42600]) ).

fof(f42600,plain,
    x0 = rd(x0,sF0),
    inference(forward_demodulation,[],[f42599,f42488]) ).

fof(f42488,plain,
    x0 = rd(ld(rd(sF0,x0),rd(sF0,x0)),rd(sF0,x0)),
    inference(forward_demodulation,[],[f42487,f16235]) ).

fof(f42487,plain,
    ! [X0] : x0 = ld(ld(ld(x0,ld(X0,sF1)),sF0),rd(ld(ld(x0,ld(X0,sF1)),sF0),rd(sF0,x0))),
    inference(forward_demodulation,[],[f41931,f42484]) ).

fof(f42484,plain,
    ! [X0] : ld(x0,ld(ld(rd(X0,rd(sF0,x0)),sF0),sF1)) = rd(ld(ld(x0,ld(X0,sF1)),sF0),rd(sF0,x0)),
    inference(forward_demodulation,[],[f41924,f41258]) ).

fof(f41924,plain,
    ! [X0] : mult(ld(ld(x0,ld(X0,sF1)),sF0),x0) = ld(x0,ld(ld(rd(X0,rd(sF0,x0)),sF0),sF1)),
    inference(backward_demodulation,[],[f11904,f41258]) ).

fof(f11904,plain,
    ! [X0] : ld(x0,ld(ld(mult(X0,x0),sF0),sF1)) = mult(ld(ld(x0,ld(X0,sF1)),sF0),x0),
    inference(superposition,[],[f11648,f11648]) ).

fof(f11648,plain,
    ! [X0] : mult(ld(mult(X0,x0),sF0),x0) = ld(x0,ld(X0,sF1)),
    inference(superposition,[],[f11511,f4]) ).

fof(f11511,plain,
    ! [X0] : mult(ld(X0,sF0),x0) = ld(x0,ld(rd(X0,x0),sF1)),
    inference(superposition,[],[f11413,f15]) ).

fof(f11413,plain,
    ! [X0] : mult(X0,x0) = ld(x0,ld(rd(rd(sF0,X0),x0),sF1)),
    inference(superposition,[],[f2,f11135]) ).

fof(f41931,plain,
    ! [X0] : x0 = ld(ld(ld(x0,ld(X0,sF1)),sF0),ld(x0,ld(ld(rd(X0,rd(sF0,x0)),sF0),sF1))),
    inference(backward_demodulation,[],[f12060,f41258]) ).

fof(f12060,plain,
    ! [X0] : x0 = ld(ld(ld(x0,ld(X0,sF1)),sF0),ld(x0,ld(ld(mult(X0,x0),sF0),sF1))),
    inference(superposition,[],[f11927,f11648]) ).

fof(f11927,plain,
    ! [X0] : x0 = ld(ld(mult(X0,x0),sF0),ld(x0,ld(X0,sF1))),
    inference(superposition,[],[f2,f11648]) ).

fof(f42599,plain,
    x0 = rd(rd(ld(rd(sF0,x0),rd(sF0,x0)),rd(sF0,x0)),sF0),
    inference(forward_demodulation,[],[f42107,f42598]) ).

fof(f42598,plain,
    sF0 = rd(ld(rd(ld(sF0,x0),sF0),sF0),rd(sF0,x0)),
    inference(forward_demodulation,[],[f42597,f41242]) ).

fof(f41242,plain,
    sF0 = ld(x0,x0),
    inference(backward_demodulation,[],[f39086,f41187]) ).

fof(f42597,plain,
    ld(x0,x0) = rd(ld(rd(ld(sF0,x0),sF0),sF0),rd(sF0,x0)),
    inference(forward_demodulation,[],[f42106,f42488]) ).

fof(f42106,plain,
    ld(x0,rd(ld(rd(sF0,x0),rd(sF0,x0)),rd(sF0,x0))) = rd(ld(rd(ld(sF0,x0),sF0),sF0),rd(sF0,x0)),
    inference(backward_demodulation,[],[f16155,f41258]) ).

fof(f16155,plain,
    mult(ld(rd(ld(sF0,x0),sF0),sF0),x0) = ld(x0,rd(ld(rd(sF0,x0),rd(sF0,x0)),rd(sF0,x0))),
    inference(backward_demodulation,[],[f11651,f16084]) ).

fof(f11651,plain,
    mult(ld(rd(ld(sF0,x0),sF0),sF0),x0) = ld(x0,ld(mult(sF1,rd(sF0,x0)),sF1)),
    inference(superposition,[],[f11511,f423]) ).

fof(f42107,plain,
    x0 = rd(rd(ld(rd(sF0,x0),rd(sF0,x0)),rd(sF0,x0)),rd(ld(rd(ld(sF0,x0),sF0),sF0),rd(sF0,x0))),
    inference(backward_demodulation,[],[f16154,f41258]) ).

fof(f16154,plain,
    x0 = rd(rd(ld(rd(sF0,x0),rd(sF0,x0)),rd(sF0,x0)),mult(ld(rd(ld(sF0,x0),sF0),sF0),x0)),
    inference(backward_demodulation,[],[f11688,f16084]) ).

fof(f11688,plain,
    x0 = rd(ld(mult(sF1,rd(sF0,x0)),sF1),mult(ld(rd(ld(sF0,x0),sF0),sF0),x0)),
    inference(superposition,[],[f11539,f423]) ).

fof(f11539,plain,
    ! [X0] : x0 = rd(ld(rd(X0,x0),sF1),mult(ld(X0,sF0),x0)),
    inference(superposition,[],[f11414,f15]) ).

fof(f11414,plain,
    ! [X0] : x0 = rd(ld(rd(rd(sF0,X0),x0),sF1),mult(X0,x0)),
    inference(superposition,[],[f4,f11135]) ).

fof(f432,plain,
    rd(sF1,sF0) = ld(sF0,rd(x0,sF0)),
    inference(superposition,[],[f411,f8]) ).

fof(f423,plain,
    mult(sF1,rd(sF0,x0)) = rd(rd(ld(sF0,x0),sF0),x0),
    inference(backward_demodulation,[],[f337,f406]) ).

fof(f337,plain,
    mult(sF1,rd(sF0,x0)) = rd(mult(sF0,rd(x0,sF0)),x0),
    inference(superposition,[],[f73,f215]) ).

fof(f44043,plain,
    mult(x0,x0) = ld(mult(sF1,rd(sF0,x0)),rd(rd(sF1,sF0),rd(sF0,x0))),
    inference(forward_demodulation,[],[f42166,f42601]) ).

fof(f42166,plain,
    mult(x0,x0) = ld(mult(sF1,rd(sF0,x0)),rd(ld(sF0,x0),rd(sF0,x0))),
    inference(backward_demodulation,[],[f41585,f41258]) ).

fof(f41585,plain,
    ld(mult(sF1,rd(sF0,x0)),mult(ld(sF0,x0),x0)) = mult(x0,x0),
    inference(backward_demodulation,[],[f2482,f41578]) ).

fof(f41578,plain,
    mult(x0,sF1) = mult(x0,x0),
    inference(forward_demodulation,[],[f41577,f26457]) ).

fof(f41577,plain,
    mult(x0,sF1) = ld(sF0,rd(sF1,ld(x0,sF0))),
    inference(forward_demodulation,[],[f41576,f17]) ).

fof(f41576,plain,
    mult(x0,sF1) = ld(rd(sF1,x0),rd(sF1,ld(x0,sF0))),
    inference(forward_demodulation,[],[f41197,f329]) ).

fof(f41197,plain,
    mult(x0,sF1) = ld(rd(rd(rd(sF1,sF0),sF0),x0),rd(sF1,ld(x0,sF0))),
    inference(backward_demodulation,[],[f37907,f41187]) ).

fof(f37907,plain,
    mult(x0,sF1) = ld(rd(rd(rd(sF1,rd(x0,x0)),sF0),x0),rd(sF1,ld(x0,sF0))),
    inference(backward_demodulation,[],[f32770,f37897]) ).

fof(f32770,plain,
    mult(x0,sF1) = ld(rd(rd(mult(sF1,rd(x0,x0)),sF0),x0),rd(sF1,ld(x0,sF0))),
    inference(superposition,[],[f901,f26441]) ).

fof(f901,plain,
    ! [X0] : mult(x0,sF1) = ld(rd(rd(rd(X0,x0),sF0),x0),X0),
    inference(superposition,[],[f699,f3]) ).

fof(f699,plain,
    ! [X0] : mult(x0,sF1) = ld(rd(rd(X0,sF0),x0),mult(X0,x0)),
    inference(forward_demodulation,[],[f691,f215]) ).

fof(f691,plain,
    ! [X0] : mult(x0,sF1) = ld(rd(mult(X0,sF0),x0),mult(X0,x0)),
    inference(superposition,[],[f652,f4]) ).

fof(f652,plain,
    ! [X0] : mult(x0,sF1) = ld(rd(X0,x0),mult(rd(X0,sF0),x0)),
    inference(superposition,[],[f2,f236]) ).

fof(f236,plain,
    ! [X0] : mult(rd(X0,x0),mult(x0,sF1)) = mult(rd(X0,sF0),x0),
    inference(backward_demodulation,[],[f195,f215]) ).

fof(f195,plain,
    ! [X0] : mult(mult(X0,sF0),x0) = mult(rd(X0,x0),mult(x0,sF1)),
    inference(superposition,[],[f30,f8]) ).

fof(f2482,plain,
    mult(x0,sF1) = ld(mult(sF1,rd(sF0,x0)),mult(ld(sF0,x0),x0)),
    inference(superposition,[],[f699,f423]) ).

fof(f43927,plain,
    mult(sF1,sF1) = ld(sF0,rd(rd(sF1,sF0),rd(sF0,x0))),
    inference(forward_demodulation,[],[f42120,f42601]) ).

fof(f42120,plain,
    mult(sF1,sF1) = ld(sF0,rd(ld(sF0,x0),rd(sF0,x0))),
    inference(backward_demodulation,[],[f26007,f41258]) ).

fof(f26007,plain,
    mult(sF1,sF1) = ld(sF0,mult(ld(sF0,x0),x0)),
    inference(superposition,[],[f2,f25911]) ).

fof(f25911,plain,
    mult(ld(sF0,x0),x0) = mult(sF0,mult(sF1,sF1)),
    inference(superposition,[],[f3,f25808]) ).

fof(f25808,plain,
    ld(sF0,x0) = rd(mult(sF0,mult(sF1,sF1)),x0),
    inference(forward_demodulation,[],[f25695,f14962]) ).

fof(f14962,plain,
    ld(sF0,x0) = mult(sF0,sF1),
    inference(backward_demodulation,[],[f1716,f14955]) ).

fof(f1716,plain,
    ld(sF0,x0) = mult(rd(sF0,sF0),sF1),
    inference(superposition,[],[f1635,f11]) ).

fof(f25695,plain,
    mult(sF0,sF1) = rd(mult(sF0,mult(sF1,sF1)),x0),
    inference(superposition,[],[f15978,f11]) ).

fof(f43183,plain,
    ! [X0] : rd(X0,sF0) = rd(rd(rd(X0,ld(mult(sF1,sF1),x0)),sF0),x0),
    inference(forward_demodulation,[],[f43182,f14]) ).

fof(f43182,plain,
    ! [X0] : rd(X0,ld(rd(sF1,sF0),sF1)) = rd(rd(rd(X0,ld(mult(sF1,sF1),x0)),sF0),x0),
    inference(forward_demodulation,[],[f43181,f215]) ).

fof(f43181,plain,
    ! [X0] : rd(X0,ld(rd(sF1,sF0),sF1)) = rd(mult(rd(X0,ld(mult(sF1,sF1),x0)),sF0),x0),
    inference(forward_demodulation,[],[f43180,f16745]) ).

fof(f43180,plain,
    ! [X0] : rd(X0,ld(rd(sF1,sF0),sF1)) = rd(rd(rd(X0,ld(mult(sF1,sF1),x0)),ld(sF1,rd(sF1,sF0))),x0),
    inference(forward_demodulation,[],[f43179,f42600]) ).

fof(f43179,plain,
    ! [X0] : rd(X0,ld(rd(sF1,sF0),sF1)) = rd(rd(rd(X0,ld(mult(sF1,sF1),x0)),ld(sF1,rd(sF1,sF0))),rd(x0,sF0)),
    inference(forward_demodulation,[],[f43178,f215]) ).

fof(f43178,plain,
    ! [X0] : rd(X0,ld(rd(sF1,sF0),sF1)) = rd(rd(rd(X0,ld(mult(sF1,sF1),x0)),ld(sF1,rd(sF1,sF0))),mult(x0,sF0)),
    inference(forward_demodulation,[],[f43040,f16745]) ).

fof(f43040,plain,
    ! [X0] : rd(X0,ld(rd(sF1,sF0),sF1)) = rd(rd(rd(X0,ld(mult(sF1,sF1),x0)),ld(sF1,rd(sF1,sF0))),rd(x0,ld(sF1,rd(sF1,sF0)))),
    inference(backward_demodulation,[],[f32703,f42601]) ).

fof(f32703,plain,
    ! [X0] : rd(X0,ld(ld(sF0,x0),sF1)) = rd(rd(rd(X0,ld(mult(sF1,sF1),x0)),ld(sF1,ld(sF0,x0))),rd(x0,ld(sF1,ld(sF0,x0)))),
    inference(forward_demodulation,[],[f32702,f17164]) ).

fof(f32702,plain,
    ! [X0] : mult(X0,ld(sF1,ld(sF0,x0))) = rd(rd(rd(X0,ld(mult(sF1,sF1),x0)),ld(sF1,ld(sF0,x0))),rd(x0,ld(sF1,ld(sF0,x0)))),
    inference(forward_demodulation,[],[f32626,f17164]) ).

fof(f32626,plain,
    ! [X0] : mult(X0,ld(sF1,ld(sF0,x0))) = rd(rd(mult(X0,ld(x0,mult(sF1,sF1))),ld(sF1,ld(sF0,x0))),rd(x0,ld(sF1,ld(sF0,x0)))),
    inference(superposition,[],[f4943,f25934]) ).

fof(f25934,plain,
    ld(x0,mult(sF1,sF1)) = mult(ld(sF1,ld(sF0,x0)),x0),
    inference(forward_demodulation,[],[f25890,f2]) ).

fof(f25890,plain,
    ld(x0,ld(sF0,mult(sF0,mult(sF1,sF1)))) = mult(ld(sF1,ld(sF0,x0)),x0),
    inference(superposition,[],[f1454,f25808]) ).

fof(f1454,plain,
    ! [X0] : mult(ld(sF1,rd(X0,x0)),x0) = ld(x0,ld(sF0,X0)),
    inference(superposition,[],[f815,f3]) ).

fof(f815,plain,
    ! [X0] : mult(ld(sF1,X0),x0) = ld(x0,ld(sF0,mult(X0,x0))),
    inference(superposition,[],[f2,f91]) ).

fof(f44252,plain,
    rd(sF1,sF0) = rd(rd(rd(rd(sF1,sF0),rd(sF0,x0)),sF0),x0),
    inference(forward_demodulation,[],[f44177,f42669]) ).

fof(f42669,plain,
    ! [X0] : rd(rd(X0,sF0),x0) = rd(rd(X0,sF1),sF0),
    inference(backward_demodulation,[],[f7131,f42600]) ).

fof(f7131,plain,
    ! [X0] : rd(rd(X0,sF0),rd(x0,sF0)) = rd(rd(X0,sF1),sF0),
    inference(forward_demodulation,[],[f7117,f215]) ).

fof(f7117,plain,
    ! [X0] : rd(rd(X0,sF0),rd(x0,sF0)) = mult(rd(X0,sF1),sF0),
    inference(superposition,[],[f1,f6761]) ).

fof(f6761,plain,
    ! [X0] : sF0 = ld(rd(X0,sF1),rd(rd(X0,sF0),rd(x0,sF0))),
    inference(forward_demodulation,[],[f6743,f215]) ).

fof(f6743,plain,
    ! [X0] : sF0 = ld(rd(X0,sF1),rd(mult(X0,sF0),rd(x0,sF0))),
    inference(superposition,[],[f6662,f4]) ).

fof(f6662,plain,
    ! [X0] : sF0 = ld(rd(rd(X0,sF0),sF1),rd(X0,rd(x0,sF0))),
    inference(superposition,[],[f14,f6565]) ).

fof(f6565,plain,
    ! [X0] : rd(rd(X0,rd(x0,sF0)),sF0) = rd(rd(X0,sF0),sF1),
    inference(superposition,[],[f4,f6483]) ).

fof(f6483,plain,
    ! [X0] : rd(X0,sF0) = mult(rd(rd(X0,rd(x0,sF0)),sF0),sF1),
    inference(forward_demodulation,[],[f6303,f215]) ).

fof(f6303,plain,
    ! [X0] : mult(X0,sF0) = mult(rd(rd(X0,rd(x0,sF0)),sF0),sF1),
    inference(superposition,[],[f3193,f8]) ).

fof(f44177,plain,
    rd(sF1,sF0) = rd(rd(rd(rd(sF1,sF0),rd(sF0,x0)),sF1),sF0),
    inference(backward_demodulation,[],[f43958,f44148]) ).

fof(f44148,plain,
    sF0 = rd(sF1,sF1),
    inference(forward_demodulation,[],[f44146,f14955]) ).

fof(f44146,plain,
    rd(sF0,sF0) = rd(sF1,sF1),
    inference(backward_demodulation,[],[f35640,f44143]) ).

fof(f35640,plain,
    rd(sF1,sF1) = rd(rd(rd(sF0,rd(sF0,x0)),sF0),x0),
    inference(superposition,[],[f4,f34635]) ).

fof(f34635,plain,
    mult(rd(sF1,sF1),x0) = rd(rd(sF0,rd(sF0,x0)),sF0),
    inference(backward_demodulation,[],[f11994,f34552]) ).

fof(f34552,plain,
    ! [X0,X1] : rd(rd(sF0,rd(sF0,X0)),sF0) = rd(sF0,rd(ld(X1,rd(X1,X0)),sF0)),
    inference(superposition,[],[f34438,f16679]) ).

fof(f16679,plain,
    ! [X2,X0,X1] : ld(X1,rd(X1,X0)) = ld(X2,rd(X2,X0)),
    inference(superposition,[],[f16235,f16235]) ).

fof(f34438,plain,
    ! [X0] : rd(rd(sF0,X0),sF0) = rd(sF0,rd(ld(sF0,X0),sF0)),
    inference(superposition,[],[f15,f33366]) ).

fof(f33366,plain,
    ! [X0] : rd(ld(sF0,X0),sF0) = ld(rd(rd(sF0,X0),sF0),sF0),
    inference(forward_demodulation,[],[f33365,f406]) ).

fof(f33365,plain,
    ! [X0] : mult(sF0,rd(X0,sF0)) = ld(rd(rd(sF0,X0),sF0),sF0),
    inference(forward_demodulation,[],[f33364,f14959]) ).

fof(f14959,plain,
    ! [X0] : mult(sF0,X0) = ld(sF0,ld(sF0,X0)),
    inference(backward_demodulation,[],[f1635,f14955]) ).

fof(f33364,plain,
    ! [X0] : ld(sF0,ld(sF0,rd(X0,sF0))) = ld(rd(rd(sF0,X0),sF0),sF0),
    inference(forward_demodulation,[],[f33030,f411]) ).

fof(f33030,plain,
    ! [X0] : ld(sF0,rd(mult(sF0,X0),sF0)) = ld(rd(rd(sF0,X0),sF0),sF0),
    inference(superposition,[],[f17405,f14956]) ).

fof(f14956,plain,
    sF0 = ld(sF0,sF0),
    inference(backward_demodulation,[],[f249,f14955]) ).

fof(f11994,plain,
    ! [X0] : rd(sF0,rd(ld(X0,rd(X0,x0)),sF0)) = mult(rd(sF1,sF1),x0),
    inference(superposition,[],[f11808,f5569]) ).

fof(f5569,plain,
    ! [X0] : rd(ld(X0,rd(X0,x0)),sF0) = rd(ld(x0,sF1),x0),
    inference(superposition,[],[f5532,f1085]) ).

fof(f5532,plain,
    rd(ld(sF1,sF0),sF0) = rd(ld(x0,sF1),x0),
    inference(forward_demodulation,[],[f5518,f923]) ).

fof(f5518,plain,
    rd(ld(sF1,sF0),sF0) = ld(sF1,rd(mult(sF0,sF1),x0)),
    inference(superposition,[],[f2,f5473]) ).

fof(f5473,plain,
    rd(mult(sF0,sF1),x0) = mult(sF1,rd(ld(sF1,sF0),sF0)),
    inference(forward_demodulation,[],[f5321,f215]) ).

fof(f5321,plain,
    mult(sF1,mult(ld(sF1,sF0),sF0)) = rd(mult(sF0,sF1),x0),
    inference(superposition,[],[f4205,f1047]) ).

fof(f43958,plain,
    rd(sF1,sF0) = rd(rd(rd(rd(sF1,sF0),rd(sF0,x0)),sF1),rd(sF1,sF1)),
    inference(forward_demodulation,[],[f42137,f42601]) ).

fof(f42137,plain,
    ld(sF0,x0) = rd(rd(rd(ld(sF0,x0),rd(sF0,x0)),sF1),rd(sF1,sF1)),
    inference(backward_demodulation,[],[f26046,f41258]) ).

fof(f26046,plain,
    ld(sF0,x0) = rd(rd(mult(ld(sF0,x0),x0),sF1),rd(sF1,sF1)),
    inference(forward_demodulation,[],[f26006,f14962]) ).

fof(f26006,plain,
    mult(sF0,sF1) = rd(rd(mult(ld(sF0,x0),x0),sF1),rd(sF1,sF1)),
    inference(superposition,[],[f4943,f25911]) ).

fof(f31530,plain,
    ld(x1,rd(rd(x1,x0),sF0)) = ld(rd(sF1,sF0),sF0),
    inference(forward_demodulation,[],[f31529,f14971]) ).

fof(f14971,plain,
    ld(x1,rd(rd(x1,x0),sF0)) = ld(sF0,rd(rd(sF0,x0),sF0)),
    inference(backward_demodulation,[],[f1824,f14955]) ).

fof(f1824,plain,
    ld(x1,rd(rd(x1,x0),sF0)) = ld(sF0,rd(rd(rd(sF0,sF0),x0),sF0)),
    inference(forward_demodulation,[],[f1823,f411]) ).

fof(f1823,plain,
    ld(x1,rd(rd(x1,x0),sF0)) = rd(mult(sF0,rd(rd(sF0,sF0),x0)),sF0),
    inference(backward_demodulation,[],[f1736,f1819]) ).

fof(f1819,plain,
    mult(rd(sF0,sF0),rd(sF0,x0)) = mult(sF0,rd(rd(sF0,sF0),x0)),
    inference(backward_demodulation,[],[f1735,f1798]) ).

fof(f1798,plain,
    ld(sF0,ld(sF1,sF0)) = mult(sF0,rd(rd(sF0,sF0),x0)),
    inference(superposition,[],[f1727,f1047]) ).

fof(f1735,plain,
    ld(sF0,ld(sF1,sF0)) = mult(rd(sF0,sF0),rd(sF0,x0)),
    inference(forward_demodulation,[],[f1719,f1012]) ).

fof(f1719,plain,
    mult(rd(sF0,sF0),rd(sF0,x0)) = ld(sF0,rd(ld(x0,x0),x0)),
    inference(superposition,[],[f1635,f1287]) ).

fof(f1287,plain,
    ! [X0] : rd(ld(x0,x0),x0) = ld(X0,rd(X0,x0)),
    inference(superposition,[],[f15,f1131]) ).

fof(f1131,plain,
    ! [X0] : x0 = ld(ld(X0,rd(X0,x0)),ld(x0,x0)),
    inference(superposition,[],[f1013,f1085]) ).

fof(f1013,plain,
    x0 = ld(ld(sF1,sF0),ld(x0,x0)),
    inference(superposition,[],[f2,f998]) ).

fof(f1736,plain,
    ld(x1,rd(rd(x1,x0),sF0)) = rd(mult(rd(sF0,sF0),rd(sF0,x0)),sF0),
    inference(backward_demodulation,[],[f1089,f1735]) ).

fof(f1089,plain,
    rd(ld(sF0,ld(sF1,sF0)),sF0) = ld(x1,rd(rd(x1,x0),sF0)),
    inference(superposition,[],[f415,f1047]) ).

fof(f31529,plain,
    ld(sF0,rd(rd(sF0,x0),sF0)) = ld(rd(sF1,sF0),sF0),
    inference(forward_demodulation,[],[f31528,f23272]) ).

fof(f23272,plain,
    ld(rd(sF1,sF0),sF0) = ld(rd(mult(x1,x0),sF0),x1),
    inference(forward_demodulation,[],[f23256,f19994]) ).

fof(f19994,plain,
    ! [X0,X1] : ld(rd(mult(x1,X0),sF0),x1) = ld(X1,rd(X1,rd(ld(sF0,X0),sF0))),
    inference(superposition,[],[f18489,f415]) ).

fof(f18489,plain,
    ! [X2,X0,X1] : ld(X0,X1) = ld(X2,rd(X2,ld(X1,X0))),
    inference(superposition,[],[f16679,f15]) ).

fof(f23256,plain,
    ! [X0] : ld(rd(sF1,sF0),sF0) = ld(X0,rd(X0,rd(ld(sF0,x0),sF0))),
    inference(superposition,[],[f18489,f14991]) ).

fof(f14991,plain,
    rd(ld(sF0,x0),sF0) = ld(sF0,rd(sF1,sF0)),
    inference(backward_demodulation,[],[f2038,f14955]) ).

fof(f2038,plain,
    rd(ld(sF0,x0),sF0) = ld(rd(sF0,sF0),rd(sF1,sF0)),
    inference(forward_demodulation,[],[f2023,f406]) ).

fof(f2023,plain,
    mult(sF0,rd(x0,sF0)) = ld(rd(sF0,sF0),rd(sF1,sF0)),
    inference(superposition,[],[f1970,f432]) ).

fof(f31528,plain,
    ld(sF0,rd(rd(sF0,x0),sF0)) = ld(rd(mult(x1,x0),sF0),x1),
    inference(forward_demodulation,[],[f31473,f19994]) ).

fof(f31473,plain,
    ! [X0] : ld(sF0,rd(rd(sF0,x0),sF0)) = ld(X0,rd(X0,rd(ld(sF0,x0),sF0))),
    inference(superposition,[],[f16679,f17799]) ).

fof(f17799,plain,
    rd(rd(sF0,x0),sF0) = rd(sF0,rd(ld(sF0,x0),sF0)),
    inference(forward_demodulation,[],[f17794,f11277]) ).

fof(f11277,plain,
    ! [X0,X1] : rd(ld(sF0,X1),sF0) = ld(rd(rd(X0,X1),sF0),rd(X0,sF0)),
    inference(forward_demodulation,[],[f11276,f406]) ).

fof(f11276,plain,
    ! [X0,X1] : mult(sF0,rd(X1,sF0)) = ld(rd(rd(X0,X1),sF0),rd(X0,sF0)),
    inference(forward_demodulation,[],[f11111,f215]) ).

fof(f11111,plain,
    ! [X0,X1] : mult(sF0,mult(X1,sF0)) = ld(rd(rd(X0,X1),sF0),rd(X0,sF0)),
    inference(superposition,[],[f4712,f215]) ).

fof(f17794,plain,
    ! [X0] : rd(rd(sF0,x0),sF0) = rd(sF0,ld(rd(rd(X0,x0),sF0),rd(X0,sF0))),
    inference(backward_demodulation,[],[f1183,f17528]) ).

fof(f17528,plain,
    ! [X0,X1] : ld(sF0,rd(ld(X0,X1),sF0)) = rd(sF0,ld(rd(X1,sF0),rd(X0,sF0))),
    inference(backward_demodulation,[],[f15137,f17164]) ).

fof(f15137,plain,
    ! [X0,X1] : mult(sF0,ld(rd(X0,sF0),rd(X1,sF0))) = ld(sF0,rd(ld(X0,X1),sF0)),
    inference(backward_demodulation,[],[f10588,f14955]) ).

fof(f10588,plain,
    ! [X0,X1] : mult(sF0,ld(rd(X0,rd(sF0,sF0)),rd(X1,rd(sF0,sF0)))) = ld(sF0,rd(ld(X0,X1),rd(sF0,sF0))),
    inference(forward_demodulation,[],[f10587,f3320]) ).

fof(f3320,plain,
    ! [X0] : mult(X0,rd(sF0,sF0)) = rd(X0,rd(sF0,sF0)),
    inference(superposition,[],[f3278,f3]) ).

fof(f3278,plain,
    ! [X0] : mult(mult(X0,rd(sF0,sF0)),rd(sF0,sF0)) = X0,
    inference(forward_demodulation,[],[f3277,f3]) ).

fof(f3277,plain,
    ! [X0] : mult(mult(X0,rd(sF0,sF0)),rd(sF0,sF0)) = mult(rd(X0,rd(sF0,sF0)),rd(sF0,sF0)),
    inference(forward_demodulation,[],[f3276,f316]) ).

fof(f316,plain,
    sF0 = rd(sF0,rd(sF0,sF0)),
    inference(superposition,[],[f15,f249]) ).

fof(f3276,plain,
    ! [X0] : mult(mult(X0,rd(sF0,sF0)),rd(sF0,sF0)) = mult(rd(X0,rd(sF0,sF0)),rd(rd(sF0,rd(sF0,sF0)),sF0)),
    inference(forward_demodulation,[],[f3179,f359]) ).

fof(f359,plain,
    ! [X0] : rd(rd(X0,rd(sF0,sF0)),sF0) = mult(rd(X0,sF0),rd(sF0,sF0)),
    inference(forward_demodulation,[],[f358,f215]) ).

fof(f358,plain,
    ! [X0] : mult(mult(X0,sF0),rd(sF0,sF0)) = rd(rd(X0,rd(sF0,sF0)),sF0),
    inference(forward_demodulation,[],[f357,f215]) ).

fof(f357,plain,
    ! [X0] : mult(mult(X0,sF0),rd(sF0,sF0)) = mult(rd(X0,rd(sF0,sF0)),sF0),
    inference(forward_demodulation,[],[f356,f329]) ).

fof(f356,plain,
    ! [X0] : mult(mult(X0,sF0),rd(sF0,sF0)) = mult(rd(X0,rd(sF0,sF0)),rd(rd(sF0,sF0),sF0)),
    inference(forward_demodulation,[],[f352,f215]) ).

fof(f352,plain,
    ! [X0] : mult(mult(X0,sF0),rd(sF0,sF0)) = mult(rd(X0,rd(sF0,sF0)),mult(rd(sF0,sF0),sF0)),
    inference(superposition,[],[f30,f288]) ).

fof(f288,plain,
    sF0 = mult(sF0,rd(sF0,sF0)),
    inference(forward_demodulation,[],[f287,f7]) ).

fof(f287,plain,
    ld(x1,x1) = mult(sF0,rd(sF0,sF0)),
    inference(forward_demodulation,[],[f219,f215]) ).

fof(f219,plain,
    ld(x1,x1) = mult(sF0,mult(sF0,sF0)),
    inference(superposition,[],[f57,f208]) ).

fof(f3179,plain,
    ! [X0] : mult(rd(X0,rd(sF0,sF0)),mult(rd(sF0,sF0),rd(sF0,sF0))) = mult(mult(X0,rd(sF0,sF0)),rd(sF0,sF0)),
    inference(superposition,[],[f191,f2084]) ).

fof(f2084,plain,
    rd(sF0,sF0) = rd(rd(sF0,sF0),rd(sF0,sF0)),
    inference(forward_demodulation,[],[f2056,f215]) ).

fof(f2056,plain,
    rd(sF0,sF0) = rd(rd(sF0,sF0),mult(sF0,sF0)),
    inference(superposition,[],[f2035,f249]) ).

fof(f10587,plain,
    ! [X0,X1] : ld(sF0,mult(ld(X0,X1),rd(sF0,sF0))) = mult(sF0,ld(rd(X0,rd(sF0,sF0)),rd(X1,rd(sF0,sF0)))),
    inference(forward_demodulation,[],[f10456,f3320]) ).

fof(f10456,plain,
    ! [X0,X1] : ld(sF0,mult(ld(X0,X1),rd(sF0,sF0))) = mult(sF0,ld(rd(X0,rd(sF0,sF0)),mult(X1,rd(sF0,sF0)))),
    inference(superposition,[],[f1727,f4702]) ).

fof(f1183,plain,
    ! [X0] : rd(rd(sF0,x0),sF0) = ld(sF0,rd(ld(X0,rd(X0,x0)),sF0)),
    inference(superposition,[],[f435,f1124]) ).

fof(f1124,plain,
    ! [X0,X1] : ld(X0,rd(X0,x0)) = ld(X1,rd(X1,x0)),
    inference(superposition,[],[f1085,f1085]) ).

fof(f43278,plain,
    sF1 = ld(ld(x1,rd(rd(x1,x0),sF0)),sF0),
    inference(forward_demodulation,[],[f43277,f14955]) ).

fof(f43277,plain,
    sF1 = ld(ld(x1,rd(rd(x1,x0),sF0)),rd(sF0,sF0)),
    inference(forward_demodulation,[],[f43276,f43256]) ).

fof(f43256,plain,
    sF0 = rd(rd(sF0,x0),rd(sF0,x0)),
    inference(forward_demodulation,[],[f43255,f41243]) ).

fof(f43255,plain,
    sF0 = rd(ld(sF1,sF0),rd(sF0,x0)),
    inference(forward_demodulation,[],[f43097,f329]) ).

fof(f43097,plain,
    sF0 = rd(ld(rd(rd(sF1,sF0),sF0),sF0),rd(sF0,x0)),
    inference(backward_demodulation,[],[f42598,f42601]) ).

fof(f43276,plain,
    sF1 = ld(ld(x1,rd(rd(x1,x0),sF0)),rd(rd(rd(sF0,x0),rd(sF0,x0)),sF0)),
    inference(backward_demodulation,[],[f43140,f43273]) ).

fof(f43273,plain,
    ! [X0] : mult(rd(X0,sF0),sF1) = rd(rd(X0,rd(sF0,x0)),sF0),
    inference(forward_demodulation,[],[f42618,f41258]) ).

fof(f42618,plain,
    ! [X0] : rd(mult(X0,x0),sF0) = mult(rd(X0,sF0),sF1),
    inference(backward_demodulation,[],[f6561,f42600]) ).

fof(f6561,plain,
    ! [X0] : rd(mult(X0,rd(x0,sF0)),sF0) = mult(rd(X0,sF0),sF1),
    inference(superposition,[],[f6483,f4]) ).

fof(f43140,plain,
    sF1 = ld(ld(x1,rd(rd(x1,x0),sF0)),mult(rd(rd(sF0,x0),sF0),sF1)),
    inference(forward_demodulation,[],[f43029,f329]) ).

fof(f43029,plain,
    rd(rd(sF1,sF0),sF0) = ld(ld(x1,rd(rd(x1,x0),sF0)),mult(rd(rd(sF0,x0),sF0),sF1)),
    inference(backward_demodulation,[],[f31580,f42601]) ).

fof(f31580,plain,
    rd(ld(sF0,x0),sF0) = ld(ld(x1,rd(rd(x1,x0),sF0)),mult(rd(rd(sF0,x0),sF0),sF1)),
    inference(forward_demodulation,[],[f31579,f14971]) ).

fof(f31579,plain,
    rd(ld(sF0,x0),sF0) = ld(ld(sF0,rd(rd(sF0,x0),sF0)),mult(rd(rd(sF0,x0),sF0),sF1)),
    inference(forward_demodulation,[],[f31477,f31543]) ).

fof(f31543,plain,
    ld(rd(ld(sF0,x0),sF0),rd(ld(sF0,x0),sF0)) = mult(rd(rd(sF0,x0),sF0),sF1),
    inference(forward_demodulation,[],[f31542,f6561]) ).

fof(f31542,plain,
    ld(rd(ld(sF0,x0),sF0),rd(ld(sF0,x0),sF0)) = rd(mult(rd(sF0,x0),rd(x0,sF0)),sF0),
    inference(forward_demodulation,[],[f31541,f215]) ).

fof(f31541,plain,
    ld(rd(ld(sF0,x0),sF0),rd(ld(sF0,x0),sF0)) = rd(mult(rd(sF0,x0),mult(x0,sF0)),sF0),
    inference(forward_demodulation,[],[f31540,f191]) ).

fof(f31540,plain,
    ld(rd(ld(sF0,x0),sF0),rd(ld(sF0,x0),sF0)) = rd(mult(mult(sF0,rd(sF0,x0)),x0),sF0),
    inference(forward_demodulation,[],[f31534,f17160]) ).

fof(f17160,plain,
    ! [X0] : rd(ld(x1,rd(rd(x1,X0),sF0)),sF0) = mult(sF0,rd(sF0,X0)),
    inference(backward_demodulation,[],[f16872,f16882]) ).

fof(f16882,plain,
    ! [X0] : ld(sF0,rd(ld(X0,X0),X0)) = mult(sF0,rd(sF0,X0)),
    inference(superposition,[],[f14959,f16235]) ).

fof(f16872,plain,
    ! [X0] : rd(ld(x1,rd(rd(x1,X0),sF0)),sF0) = ld(sF0,rd(ld(X0,X0),X0)),
    inference(superposition,[],[f935,f16235]) ).

fof(f935,plain,
    ! [X0] : ld(sF0,ld(x1,X0)) = rd(ld(x1,rd(X0,sF0)),sF0),
    inference(superposition,[],[f329,f419]) ).

fof(f419,plain,
    ! [X0] : ld(x1,rd(X0,sF0)) = rd(ld(sF0,ld(x1,X0)),sF0),
    inference(backward_demodulation,[],[f264,f406]) ).

fof(f264,plain,
    ! [X0] : ld(x1,rd(X0,sF0)) = mult(sF0,rd(ld(x1,X0),sF0)),
    inference(forward_demodulation,[],[f235,f215]) ).

fof(f235,plain,
    ! [X0] : mult(sF0,mult(ld(x1,X0),sF0)) = ld(x1,rd(X0,sF0)),
    inference(backward_demodulation,[],[f160,f215]) ).

fof(f160,plain,
    ! [X0] : mult(sF0,mult(ld(x1,X0),sF0)) = ld(x1,mult(X0,sF0)),
    inference(superposition,[],[f57,f1]) ).

fof(f31534,plain,
    ld(rd(ld(sF0,x0),sF0),rd(ld(sF0,x0),sF0)) = rd(mult(rd(ld(x1,rd(rd(x1,x0),sF0)),sF0),x0),sF0),
    inference(backward_demodulation,[],[f23513,f31530]) ).

fof(f23513,plain,
    ld(rd(ld(sF0,x0),sF0),rd(ld(sF0,x0),sF0)) = rd(mult(rd(ld(rd(sF1,sF0),sF0),sF0),x0),sF0),
    inference(forward_demodulation,[],[f23475,f9940]) ).

fof(f23475,plain,
    ld(rd(ld(sF0,x0),sF0),rd(ld(sF0,x0),sF0)) = mult(ld(rd(sF1,sF0),sF0),rd(ld(sF0,x0),sF0)),
    inference(superposition,[],[f16746,f14999]) ).

fof(f14999,plain,
    sF0 = rd(rd(sF1,sF0),rd(ld(sF0,x0),sF0)),
    inference(backward_demodulation,[],[f2080,f14955]) ).

fof(f2080,plain,
    rd(sF0,sF0) = rd(rd(sF1,sF0),rd(ld(sF0,x0),sF0)),
    inference(forward_demodulation,[],[f2054,f406]) ).

fof(f2054,plain,
    rd(sF0,sF0) = rd(rd(sF1,sF0),mult(sF0,rd(x0,sF0))),
    inference(superposition,[],[f2035,f432]) ).

fof(f31477,plain,
    rd(ld(sF0,x0),sF0) = ld(ld(sF0,rd(rd(sF0,x0),sF0)),ld(rd(ld(sF0,x0),sF0),rd(ld(sF0,x0),sF0))),
    inference(superposition,[],[f16747,f17799]) ).

fof(f16747,plain,
    ! [X0,X1] : ld(ld(X1,rd(X1,X0)),ld(X0,X0)) = X0,
    inference(superposition,[],[f14,f16235]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem    : GRP655-14 : TPTP v8.2.0. Released v8.1.0.
% 0.10/0.11  % Command    : run_vampire %s %d THM
% 0.10/0.31  % Computer : n024.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 300
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Thu Jun 20 09:09:24 EDT 2024
% 0.10/0.31  % CPUTime    : 
% 0.16/0.33  This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.16/0.33  Running first-order theorem proving
% 0.16/0.33  Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.39  % (21720)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.39  % (21721)ott+10_4:13_drc=encompass:sil=256000:bsd=on:sp=reverse_frequency:urr=on:i=125345:rawr=on_0 on theBenchmark for (3000ds/125345Mi)
% 0.16/0.39  % (21720)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.39  % (21727)dis+10_1:24_drc=encompass:sil=256000:tgt=ground:spb=goal:i=313:bd=preordered:irc=eager_0 on theBenchmark for (3000ds/313Mi)
% 0.16/0.40  % (21720)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.40  % (21723)lrs+10_1:1_to=lpo:drc=encompass:sil=2000:fde=unused:sp=const_min:i=107:bs=unit_only:bd=preordered:ins=1:rawr=on:irc=lazy:sfv=off:plsq=on:plsql=on:plsqc=1_0 on theBenchmark for (3000ds/107Mi)
% 0.16/0.40  % (21720)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.40  % (21725)lrs+10_85441:1048576_drc=encompass:sil=64000:i=401:awrs=converge:sp=reverse_frequency:dpc=on:bd=preordered:fsr=off:ss=included:st=3.0:fde=none_0 on theBenchmark for (3000ds/401Mi)
% 0.16/0.40  % (21720)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.40  % (21722)lrs+10_25:89_sil=256000:tgt=ground:lwlo=on:s2a=on:i=224446:s2at=5.0:fsr=off:awrs=converge:awrsf=90_0 on theBenchmark for (3000ds/224446Mi)
% 0.18/0.40  % (21720)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.40  % (21724)lrs+10_1:32_drc=encompass:sil=256000:i=140:irc=lazy_0 on theBenchmark for (3000ds/140Mi)
% 0.18/0.41  % (21720)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.41  % (21726)dis+10_1:128_drc=encompass:sil=256000:sp=occurrence:i=1122:kws=precedence:fsr=off_0 on theBenchmark for (3000ds/1122Mi)
% 0.18/0.46  % (21723)Instruction limit reached!
% 0.18/0.46  % (21723)------------------------------
% 0.18/0.46  % (21723)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.18/0.46  % (21723)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.18/0.46  % (21723)Termination reason: Time limit
% 0.18/0.46  % (21723)Termination phase: Saturation
% 0.18/0.46  
% 0.18/0.46  % (21723)Memory used [KB]: 2310
% 0.18/0.46  % (21723)Time elapsed: 0.072 s
% 0.18/0.46  % (21723)Instructions burned: 107 (million)
% 0.18/0.49  % (21727)Instruction limit reached!
% 0.18/0.49  % (21727)------------------------------
% 0.18/0.49  % (21727)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.18/0.49  % (21727)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.18/0.49  % (21727)Termination reason: Time limit
% 0.18/0.49  % (21727)Termination phase: Saturation
% 0.18/0.49  
% 0.18/0.49  % (21727)Memory used [KB]: 4331
% 0.18/0.49  % (21727)Time elapsed: 0.097 s
% 0.18/0.49  % (21727)Instructions burned: 314 (million)
% 0.18/0.49  % (21724)Instruction limit reached!
% 0.18/0.49  % (21724)------------------------------
% 0.18/0.49  % (21724)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.18/0.49  % (21724)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.18/0.49  % (21724)Termination reason: Time limit
% 0.18/0.49  % (21724)Termination phase: Saturation
% 0.18/0.49  
% 0.18/0.49  % (21724)Memory used [KB]: 2469
% 0.18/0.49  % (21724)Time elapsed: 0.088 s
% 0.18/0.49  % (21724)Instructions burned: 141 (million)
% 0.18/0.52  % (21720)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.52  % (21728)dis+10_1:9_bsr=unit_only:slsqr=31,32:sil=256000:tgt=full:urr=on:slsqc=2:slsq=on:i=1149:s2at=5.0:slsql=off:ins=1:rawr=on:fd=preordered:drc=encompass_0 on theBenchmark for (2998ds/1149Mi)
% 0.18/0.52  % (21720)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.52  % (21729)lrs+10_1:10_drc=encompass:sil=2000:tgt=ground:plsq=on:plsqr=92626939,1048576:sp=occurrence:fd=preordered:i=1914:kws=precedence:ins=8:rawr=on_0 on theBenchmark for (2998ds/1914Mi)
% 0.18/0.52  % (21720)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.52  % (21730)lrs+10_16:1_bsr=on:drc=encompass:sil=64000:i=281:bd=off:to=lpo_0 on theBenchmark for (2998ds/281Mi)
% 0.18/0.59  % (21725)Instruction limit reached!
% 0.18/0.59  % (21725)------------------------------
% 0.18/0.59  % (21725)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.18/0.59  % (21725)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.18/0.59  % (21725)Termination reason: Time limit
% 0.18/0.59  % (21725)Termination phase: Saturation
% 0.18/0.59  
% 0.18/0.59  % (21725)Memory used [KB]: 5560
% 0.18/0.59  % (21725)Time elapsed: 0.195 s
% 0.18/0.59  % (21725)Instructions burned: 401 (million)
% 1.93/0.62  % (21730)Instruction limit reached!
% 1.93/0.62  % (21730)------------------------------
% 1.93/0.62  % (21730)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.93/0.62  % (21730)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.93/0.62  % (21730)Termination reason: Time limit
% 1.93/0.62  % (21730)Termination phase: Saturation
% 1.93/0.62  
% 1.93/0.62  % (21730)Memory used [KB]: 4288
% 1.93/0.62  % (21730)Time elapsed: 0.096 s
% 1.93/0.62  % (21730)Instructions burned: 284 (million)
% 2.05/0.64  % (21720)Running in auto input_syntax mode. Trying TPTP
% 2.05/0.64  % (21731)lrs+10_1:64_drc=encompass:sil=2000:fde=none:sp=reverse_arity:s2a=on:i=1826:ins=2:dpc=on:awrs=decay:awrsf=200_0 on theBenchmark for (2997ds/1826Mi)
% 2.05/0.65  % (21720)Running in auto input_syntax mode. Trying TPTP
% 2.05/0.65  % (21732)dis+10_1:1024_slsqr=7,2:to=lpo:sil=256000:tgt=full:s2agt=8:slsqc=1:slsq=on:s2a=on:i=807:rawr=on_0 on theBenchmark for (2997ds/807Mi)
% 2.93/0.79  % (21726)Instruction limit reached!
% 2.93/0.79  % (21726)------------------------------
% 2.93/0.79  % (21726)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.93/0.79  % (21726)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.93/0.79  % (21726)Termination reason: Time limit
% 2.93/0.79  % (21726)Termination phase: Saturation
% 2.93/0.79  
% 2.93/0.79  % (21726)Memory used [KB]: 10359
% 2.93/0.79  % (21726)Time elapsed: 0.387 s
% 2.93/0.79  % (21726)Instructions burned: 1123 (million)
% 2.93/0.85  % (21720)Running in auto input_syntax mode. Trying TPTP
% 2.93/0.85  % (21733)dis+10_1:14_bsr=unit_only:to=lpo:drc=encompass:sil=256000:tgt=ground:urr=on:slsq=on:i=519:awrs=converge:awrsf=50:rawr=on:fsr=off_0 on theBenchmark for (2995ds/519Mi)
% 3.27/0.88  % (21728)Instruction limit reached!
% 3.27/0.88  % (21728)------------------------------
% 3.27/0.88  % (21728)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.27/0.88  % (21728)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.27/0.88  % (21728)Termination reason: Time limit
% 3.27/0.88  % (21728)Termination phase: Saturation
% 3.27/0.88  
% 3.27/0.88  % (21728)Memory used [KB]: 12211
% 3.27/0.88  % (21728)Time elapsed: 0.362 s
% 3.27/0.88  % (21728)Instructions burned: 1152 (million)
% 3.27/0.89  % (21732)Instruction limit reached!
% 3.27/0.89  % (21732)------------------------------
% 3.27/0.89  % (21732)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.27/0.89  % (21732)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.27/0.89  % (21732)Termination reason: Time limit
% 3.27/0.89  % (21732)Termination phase: Saturation
% 3.27/0.89  
% 3.27/0.89  % (21732)Memory used [KB]: 7992
% 3.27/0.89  % (21732)Time elapsed: 0.237 s
% 3.27/0.89  % (21732)Instructions burned: 807 (million)
% 3.61/0.91  % (21720)Running in auto input_syntax mode. Trying TPTP
% 3.61/0.91  % (21734)lrs+10_1:1_to=lpo:drc=encompass:sil=8000:tgt=full:sp=const_frequency:i=525:lwlo=on:nwc=10.0_0 on theBenchmark for (2994ds/525Mi)
% 3.68/0.92  % (21720)Running in auto input_syntax mode. Trying TPTP
% 3.68/0.92  % (21735)lrs+10_1:32_drc=encompass:sil=256000:tgt=ground:sp=reverse_frequency:s2a=on:i=4287:s2at=5.0:kws=precedence_0 on theBenchmark for (2994ds/4287Mi)
% 4.19/1.09  % (21734)Instruction limit reached!
% 4.19/1.09  % (21734)------------------------------
% 4.19/1.09  % (21734)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 4.19/1.09  % (21734)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 4.19/1.09  % (21734)Termination reason: Time limit
% 4.19/1.09  % (21734)Termination phase: Saturation
% 4.19/1.09  
% 4.19/1.09  % (21734)Memory used [KB]: 6563
% 4.19/1.09  % (21734)Time elapsed: 0.184 s
% 4.19/1.09  % (21734)Instructions burned: 527 (million)
% 4.19/1.12  % (21733)Instruction limit reached!
% 4.19/1.12  % (21733)------------------------------
% 4.19/1.12  % (21733)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 4.19/1.12  % (21733)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 4.19/1.12  % (21733)Termination reason: Time limit
% 4.19/1.12  % (21733)Termination phase: Saturation
% 4.19/1.12  
% 4.19/1.12  % (21733)Memory used [KB]: 5515
% 4.19/1.12  % (21733)Time elapsed: 0.274 s
% 4.19/1.12  % (21733)Instructions burned: 520 (million)
% 4.19/1.13  % (21720)Running in auto input_syntax mode. Trying TPTP
% 4.19/1.13  % (21736)lrs+10_1:1024_sil=2000:tgt=ground:plsq=on:sp=frequency:s2a=on:i=1997:kws=precedence:rawr=on:bd=off:awrs=converge:awrsf=10:ins=2_0 on theBenchmark for (2992ds/1997Mi)
% 4.19/1.15  % (21720)Running in auto input_syntax mode. Trying TPTP
% 4.19/1.15  % (21737)dis+10_1:3_to=lpo:drc=encompass:sil=256000:tgt=ground:i=637:fsr=off_0 on theBenchmark for (2992ds/637Mi)
% 6.26/1.26  % (21731)Instruction limit reached!
% 6.26/1.26  % (21731)------------------------------
% 6.26/1.26  % (21731)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 6.26/1.26  % (21731)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 6.26/1.26  % (21731)Termination reason: Time limit
% 6.26/1.26  % (21731)Termination phase: Saturation
% 6.26/1.26  
% 6.26/1.26  % (21731)Memory used [KB]: 6098
% 6.26/1.26  % (21731)Time elapsed: 0.622 s
% 6.26/1.26  % (21731)Instructions burned: 1827 (million)
% 6.26/1.27  % (21729)Instruction limit reached!
% 6.26/1.27  % (21729)------------------------------
% 6.26/1.27  % (21729)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 6.26/1.27  % (21729)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 6.26/1.27  % (21729)Termination reason: Time limit
% 6.26/1.27  % (21729)Termination phase: Saturation
% 6.26/1.27  
% 6.26/1.27  % (21729)Memory used [KB]: 17116
% 6.26/1.27  % (21729)Time elapsed: 0.750 s
% 6.26/1.27  % (21729)Instructions burned: 1915 (million)
% 6.26/1.29  % (21720)Running in auto input_syntax mode. Trying TPTP
% 6.26/1.29  % (21738)lrs+10_1:512_sil=4000:tgt=ground:sp=reverse_frequency:s2a=on:i=702:bs=unit_only:bd=off:ss=axioms:rawr=on:slsq=on:slsqc=3:slsqr=19,8_0 on theBenchmark for (2990ds/702Mi)
% 6.26/1.30  % (21720)Running in auto input_syntax mode. Trying TPTP
% 6.26/1.30  % (21739)lrs+10_1:4_drc=encompass:sil=16000:lwlo=on:st=-1.0:i=6272:ss=axioms_0 on theBenchmark for (2990ds/6272Mi)
% 6.81/1.34  % (21737)Instruction limit reached!
% 6.81/1.34  % (21737)------------------------------
% 6.81/1.34  % (21737)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 6.81/1.34  % (21737)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 6.81/1.34  % (21737)Termination reason: Time limit
% 6.81/1.34  % (21737)Termination phase: Saturation
% 6.81/1.34  
% 6.81/1.34  % (21737)Memory used [KB]: 6604
% 6.81/1.34  % (21737)Time elapsed: 0.191 s
% 6.81/1.34  % (21737)Instructions burned: 640 (million)
% 6.81/1.38  % (21720)Running in auto input_syntax mode. Trying TPTP
% 6.81/1.38  % (21740)lrs+10_1:10_drc=encompass:sil=16000:tgt=ground:plsq=on:fd=preordered:i=10171:bd=preordered:ins=1:rawr=on:ss=axioms:sgt=16_0 on theBenchmark for (2989ds/10171Mi)
% 7.71/1.53  % (21738)Instruction limit reached!
% 7.71/1.53  % (21738)------------------------------
% 7.71/1.53  % (21738)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 7.71/1.53  % (21738)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 7.71/1.53  % (21738)Termination reason: Time limit
% 7.71/1.53  % (21738)Termination phase: Saturation
% 7.71/1.53  
% 7.71/1.53  % (21738)Memory used [KB]: 7447
% 7.71/1.53  % (21738)Time elapsed: 0.242 s
% 7.71/1.53  % (21738)Instructions burned: 704 (million)
% 7.71/1.57  % (21720)Running in auto input_syntax mode. Trying TPTP
% 7.71/1.57  % (21741)lrs+10_7:24_to=lpo:drc=encompass:sil=128000:fde=unused:sp=const_min:spb=goal:i=1061:irc=lazy:slsq=on:fdi=256:nwc=10.0:dpc=on:ss=included:st=2.0_0 on theBenchmark for (2988ds/1061Mi)
% 10.21/1.80  % (21736)Instruction limit reached!
% 10.21/1.80  % (21736)------------------------------
% 10.21/1.80  % (21736)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 10.21/1.80  % (21736)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 10.21/1.80  % (21736)Termination reason: Time limit
% 10.21/1.80  % (21736)Termination phase: Saturation
% 10.21/1.80  
% 10.21/1.80  % (21736)Memory used [KB]: 10195
% 10.21/1.80  % (21736)Time elapsed: 0.661 s
% 10.21/1.80  % (21736)Instructions burned: 1997 (million)
% 10.38/1.81  % (21741)Instruction limit reached!
% 10.38/1.81  % (21741)------------------------------
% 10.38/1.81  % (21741)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 10.38/1.81  % (21741)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 10.38/1.81  % (21741)Termination reason: Time limit
% 10.38/1.81  % (21741)Termination phase: Saturation
% 10.38/1.81  
% 10.38/1.81  % (21741)Memory used [KB]: 5099
% 10.38/1.81  % (21741)Time elapsed: 0.241 s
% 10.38/1.81  % (21741)Instructions burned: 1061 (million)
% 10.38/1.83  % (21720)Running in auto input_syntax mode. Trying TPTP
% 10.38/1.83  % (21742)lrs+10_1:14_slsqr=3,4:drc=encompass:sil=4000:tgt=ground:sp=const_max:s2agt=16:slsqc=3:slsq=on:i=1157:kws=precedence:slsql=off:irc=lazy:rawr=on_0 on theBenchmark for (2985ds/1157Mi)
% 10.38/1.85  % (21720)Running in auto input_syntax mode. Trying TPTP
% 10.38/1.85  % (21743)lrs+10_25:999_drc=encompass:sil=256000:tgt=full:spb=intro:i=1382:kws=precedence:awrs=converge:awrsf=53:irc=eager:bd=off:bs=unit_only_0 on theBenchmark for (2985ds/1382Mi)
% 10.38/1.87  % (21735)First to succeed.
% 10.38/1.88  % (21735)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-21720"
% 10.38/1.88  % (21720)Running in auto input_syntax mode. Trying TPTP
% 10.38/1.88  % (21735)Refutation found. Thanks to Tanya!
% 10.38/1.88  % SZS status Unsatisfiable for theBenchmark
% 10.38/1.88  % SZS output start Proof for theBenchmark
% See solution above
% 10.38/1.88  % (21735)------------------------------
% 10.38/1.88  % (21735)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 10.38/1.88  % (21735)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 10.38/1.88  % (21735)Termination reason: Refutation
% 10.38/1.88  
% 10.38/1.88  % (21735)Memory used [KB]: 17171
% 10.38/1.88  % (21735)Time elapsed: 0.957 s
% 10.38/1.88  % (21735)Instructions burned: 2561 (million)
% 10.38/1.88  % (21735)------------------------------
% 10.38/1.88  % (21735)------------------------------
% 10.38/1.88  % (21720)Success in time 1.533 s
%------------------------------------------------------------------------------