TSTP Solution File: GRP664-12 by Vampire---4.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.9
% Problem  : GRP664-12 : TPTP v8.2.0. Released v8.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d THM

% Computer : n027.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 07:19:40 EDT 2024

% Result   : Unsatisfiable 147.85s 21.45s
% Output   : Refutation 148.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :  104
%            Number of leaves      :   16
% Syntax   : Number of formulae    :  704 ( 704 unt;   0 def)
%            Number of atoms       :  704 ( 703 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;  11 con; 0-2 aty)
%            Number of variables   :  857 ( 857   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f322529,plain,
    $false,
    inference(subsumption_resolution,[],[f322528,f18]) ).

fof(f18,plain,
    sF3 != sF5,
    inference(definition_folding,[],[f10,f17,f16,f14,f15,f14,f13]) ).

fof(f13,plain,
    mult(x2,x3) = sF1,
    introduced(function_definition,[new_symbols(definition,[sF1])]) ).

fof(f15,plain,
    mult(sF1,sF2) = sF3,
    introduced(function_definition,[new_symbols(definition,[sF3])]) ).

fof(f14,plain,
    mult(x1,x0) = sF2,
    introduced(function_definition,[new_symbols(definition,[sF2])]) ).

fof(f16,plain,
    mult(x3,sF2) = sF4,
    introduced(function_definition,[new_symbols(definition,[sF4])]) ).

fof(f17,plain,
    mult(x2,sF4) = sF5,
    introduced(function_definition,[new_symbols(definition,[sF5])]) ).

fof(f10,axiom,
    mult(mult(x2,x3),mult(x1,x0)) != mult(x2,mult(x3,mult(x1,x0))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f322528,plain,
    sF3 = sF5,
    inference(backward_demodulation,[],[f17,f322527]) ).

fof(f322527,plain,
    sF3 = mult(x2,sF4),
    inference(superposition,[],[f3,f322513]) ).

fof(f322513,plain,
    x2 = rd(sF3,sF4),
    inference(forward_demodulation,[],[f322512,f4]) ).

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

fof(f322512,plain,
    rd(mult(x2,x1),x1) = rd(sF3,sF4),
    inference(forward_demodulation,[],[f322511,f776]) ).

fof(f776,plain,
    ! [X0] : rd(X0,x1) = ld(x0,mult(mult(x0,X0),x0)),
    inference(superposition,[],[f2,f119]) ).

fof(f119,plain,
    ! [X0] : mult(x0,rd(X0,x1)) = mult(mult(x0,X0),x0),
    inference(superposition,[],[f45,f3]) ).

fof(f45,plain,
    ! [X0] : mult(x0,X0) = mult(mult(x0,mult(X0,x1)),x0),
    inference(superposition,[],[f3,f27]) ).

fof(f27,plain,
    ! [X0] : mult(x0,mult(X0,x1)) = rd(mult(x0,X0),x0),
    inference(forward_demodulation,[],[f22,f5]) ).

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

fof(f22,plain,
    ! [X0] : mult(x0,mult(X0,x1)) = mult(rd(mult(x0,X0),x0),unit),
    inference(superposition,[],[f7,f19]) ).

fof(f19,plain,
    unit = mult(x0,x1),
    inference(backward_demodulation,[],[f11,f12]) ).

fof(f12,plain,
    unit = sF0,
    inference(definition_folding,[],[f9,f11]) ).

fof(f9,axiom,
    unit = mult(x0,x1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).

fof(f11,plain,
    mult(x0,x1) = sF0,
    introduced(function_definition,[new_symbols(definition,[sF0])]) ).

fof(f7,axiom,
    ! [X2,X0,X1] : mult(X0,mult(X1,X2)) = mult(rd(mult(X0,X1),X0),mult(X0,X2)),
    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(f322511,plain,
    ld(x0,mult(mult(x0,mult(x2,x1)),x0)) = rd(sF3,sF4),
    inference(forward_demodulation,[],[f322503,f2]) ).

fof(f322503,plain,
    ld(x0,mult(mult(x0,mult(x2,x1)),x0)) = rd(ld(x0,mult(x0,sF3)),sF4),
    inference(superposition,[],[f24349,f321177]) ).

fof(f321177,plain,
    mult(x0,mult(x2,x1)) = rd(mult(x0,sF3),mult(x0,sF4)),
    inference(backward_demodulation,[],[f2732,f321176]) ).

fof(f321176,plain,
    mult(x0,sF5) = mult(x0,sF3),
    inference(forward_demodulation,[],[f321175,f17]) ).

fof(f321175,plain,
    mult(x0,mult(x2,sF4)) = mult(x0,sF3),
    inference(forward_demodulation,[],[f321174,f15]) ).

fof(f321174,plain,
    mult(x0,mult(x2,sF4)) = mult(x0,mult(sF1,sF2)),
    inference(forward_demodulation,[],[f321173,f307171]) ).

fof(f307171,plain,
    ! [X0,X1] : mult(X1,mult(X0,sF2)) = mult(mult(X1,X0),sF2),
    inference(forward_demodulation,[],[f306701,f306218]) ).

fof(f306218,plain,
    ! [X0,X1] : mult(X0,X1) = mult(sF2,mult(ld(sF2,X0),X1)),
    inference(forward_demodulation,[],[f306093,f2]) ).

fof(f306093,plain,
    ! [X0,X1] : mult(sF2,mult(ld(sF2,X0),X1)) = mult(X0,ld(sF2,mult(sF2,X1))),
    inference(backward_demodulation,[],[f169206,f305668]) ).

fof(f305668,plain,
    ! [X0,X1] : mult(rd(X0,sF2),X1) = mult(X0,ld(sF2,X1)),
    inference(superposition,[],[f304501,f3]) ).

fof(f304501,plain,
    ! [X0,X1] : mult(X0,X1) = mult(mult(X0,sF2),ld(sF2,X1)),
    inference(forward_demodulation,[],[f304500,f4]) ).

fof(f304500,plain,
    ! [X0,X1] : rd(mult(mult(X0,X1),x0),x0) = mult(mult(X0,sF2),ld(sF2,X1)),
    inference(forward_demodulation,[],[f304499,f110]) ).

fof(f110,plain,
    ! [X0] : rd(X0,x0) = mult(x0,mult(x1,mult(X0,x1))),
    inference(backward_demodulation,[],[f42,f99]) ).

fof(f99,plain,
    ! [X0] : mult(ld(x0,X0),x1) = mult(x1,mult(X0,x1)),
    inference(superposition,[],[f35,f1]) ).

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

fof(f35,plain,
    ! [X0] : mult(X0,x1) = mult(x1,mult(mult(x0,X0),x1)),
    inference(superposition,[],[f1,f26]) ).

fof(f26,plain,
    ! [X0] : mult(mult(x0,X0),x1) = ld(x1,mult(X0,x1)),
    inference(forward_demodulation,[],[f21,f6]) ).

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

fof(f21,plain,
    ! [X0] : mult(mult(x0,X0),x1) = mult(unit,ld(x1,mult(X0,x1))),
    inference(superposition,[],[f8,f19]) ).

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

fof(f42,plain,
    ! [X0] : mult(x0,mult(ld(x0,X0),x1)) = rd(X0,x0),
    inference(superposition,[],[f27,f1]) ).

fof(f304499,plain,
    ! [X0,X1] : mult(x0,mult(x1,mult(mult(mult(X0,X1),x0),x1))) = mult(mult(X0,sF2),ld(sF2,X1)),
    inference(forward_demodulation,[],[f304498,f166235]) ).

fof(f166235,plain,
    ! [X0] : mult(rd(unit,x0),ld(x1,X0)) = ld(sF2,X0),
    inference(backward_demodulation,[],[f24712,f166212]) ).

fof(f166212,plain,
    ! [X0] : ld(mult(x0,sF2),mult(x0,X0)) = ld(sF2,X0),
    inference(superposition,[],[f146522,f1]) ).

fof(f146522,plain,
    ! [X0] : ld(mult(x0,sF2),mult(x0,mult(sF2,X0))) = X0,
    inference(superposition,[],[f2,f142414]) ).

fof(f142414,plain,
    ! [X0] : mult(mult(x0,sF2),X0) = mult(x0,mult(sF2,X0)),
    inference(superposition,[],[f141652,f4]) ).

fof(f141652,plain,
    ! [X0] : mult(mult(x0,sF2),rd(X0,x0)) = mult(x0,mult(sF2,rd(X0,x0))),
    inference(backward_demodulation,[],[f20956,f141648]) ).

fof(f141648,plain,
    ! [X0] : rd(mult(sF2,X0),x0) = mult(sF2,rd(X0,x0)),
    inference(backward_demodulation,[],[f120120,f141647]) ).

fof(f141647,plain,
    ! [X0] : rd(X0,x0) = rd(rd(X0,sF2),ld(x1,unit)),
    inference(forward_demodulation,[],[f141646,f3]) ).

fof(f141646,plain,
    ! [X0] : mult(rd(rd(X0,x0),x1),x1) = rd(rd(X0,sF2),ld(x1,unit)),
    inference(forward_demodulation,[],[f141521,f55645]) ).

fof(f55645,plain,
    ! [X0] : rd(rd(X0,x0),x1) = rd(rd(X0,mult(x1,sF2)),x0),
    inference(backward_demodulation,[],[f30934,f54910]) ).

fof(f54910,plain,
    ld(x0,sF2) = mult(x1,sF2),
    inference(superposition,[],[f2,f54837]) ).

fof(f54837,plain,
    sF2 = mult(x0,mult(x1,sF2)),
    inference(backward_demodulation,[],[f3653,f54833]) ).

fof(f54833,plain,
    sF2 = rd(x1,rd(unit,x0)),
    inference(superposition,[],[f3977,f54345]) ).

fof(f54345,plain,
    rd(unit,x0) = ld(sF2,x1),
    inference(forward_demodulation,[],[f54343,f2]) ).

fof(f54343,plain,
    rd(unit,x0) = ld(x0,mult(x0,ld(sF2,x1))),
    inference(backward_demodulation,[],[f31507,f54342]) ).

fof(f54342,plain,
    x0 = mult(x0,mult(x1,rd(x0,sF2))),
    inference(forward_demodulation,[],[f54341,f1]) ).

fof(f54341,plain,
    mult(x0,mult(x1,rd(x0,sF2))) = mult(mult(x0,sF2),ld(mult(x0,sF2),x0)),
    inference(backward_demodulation,[],[f33568,f54202]) ).

fof(f54202,plain,
    ! [X0] : mult(mult(x0,mult(X0,rd(unit,x0))),x0) = mult(mult(x0,X0),ld(mult(x0,sF2),x0)),
    inference(backward_demodulation,[],[f35659,f54175]) ).

fof(f54175,plain,
    ld(mult(x0,sF2),x0) = mult(ld(sF2,x0),x1),
    inference(backward_demodulation,[],[f35618,f54174]) ).

fof(f54174,plain,
    ld(x0,ld(x1,unit)) = ld(mult(x0,sF2),x0),
    inference(forward_demodulation,[],[f54173,f32]) ).

fof(f32,plain,
    ld(x1,unit) = mult(mult(x0,x0),x1),
    inference(superposition,[],[f26,f19]) ).

fof(f54173,plain,
    ld(x0,mult(mult(x0,x0),x1)) = ld(mult(x0,sF2),x0),
    inference(forward_demodulation,[],[f54172,f21066]) ).

fof(f21066,plain,
    ! [X0] : ld(x0,mult(mult(x0,x0),X0)) = mult(mult(x0,x0),ld(x0,mult(sF2,X0))),
    inference(forward_demodulation,[],[f21065,f18640]) ).

fof(f18640,plain,
    ! [X0,X1] : ld(x0,mult(mult(x0,X0),X1)) = rd(mult(X0,mult(X1,x1)),x1),
    inference(backward_demodulation,[],[f4599,f18628]) ).

fof(f18628,plain,
    ! [X0,X1] : mult(rd(X1,x1),ld(x0,X0)) = ld(x0,mult(mult(x0,X1),X0)),
    inference(forward_demodulation,[],[f18627,f893]) ).

fof(f893,plain,
    ! [X0] : ld(x0,X0) = mult(x1,mult(mult(X0,x0),x1)),
    inference(superposition,[],[f156,f4]) ).

fof(f156,plain,
    ! [X0] : mult(x1,mult(X0,x1)) = ld(x0,rd(X0,x0)),
    inference(superposition,[],[f2,f110]) ).

fof(f18627,plain,
    ! [X0,X1] : mult(rd(X1,x1),ld(x0,X0)) = mult(x1,mult(mult(mult(mult(x0,X1),X0),x0),x1)),
    inference(forward_demodulation,[],[f18589,f7389]) ).

fof(f7389,plain,
    ! [X0,X1] : mult(ld(x1,X1),mult(mult(X0,x0),x1)) = mult(mult(mult(mult(x0,X1),X0),x0),x1),
    inference(forward_demodulation,[],[f7388,f4]) ).

fof(f7388,plain,
    ! [X0,X1] : mult(ld(x1,X1),mult(mult(X0,x0),x1)) = mult(mult(mult(rd(mult(mult(x0,X1),x1),x1),X0),x0),x1),
    inference(forward_demodulation,[],[f7387,f2117]) ).

fof(f2117,plain,
    ! [X0,X1] : mult(mult(X0,mult(mult(x0,X1),x1)),ld(x1,unit)) = mult(mult(mult(rd(X0,x1),X1),x0),x1),
    inference(superposition,[],[f20,f318]) ).

fof(f318,plain,
    ! [X0,X1] : mult(X0,mult(mult(x0,X1),x1)) = mult(mult(rd(X0,x1),X1),x1),
    inference(superposition,[],[f34,f3]) ).

fof(f34,plain,
    ! [X0,X1] : mult(mult(X1,X0),x1) = mult(mult(X1,x1),mult(mult(x0,X0),x1)),
    inference(superposition,[],[f8,f26]) ).

fof(f20,plain,
    ! [X0] : mult(mult(X0,x0),x1) = mult(mult(X0,x1),ld(x1,unit)),
    inference(superposition,[],[f8,f19]) ).

fof(f7387,plain,
    ! [X0,X1] : mult(mult(mult(mult(x0,X1),x1),mult(mult(x0,X0),x1)),ld(x1,unit)) = mult(ld(x1,X1),mult(mult(X0,x0),x1)),
    inference(forward_demodulation,[],[f7354,f20]) ).

fof(f7354,plain,
    ! [X0,X1] : mult(mult(mult(mult(x0,X1),x1),mult(mult(x0,X0),x1)),ld(x1,unit)) = mult(ld(x1,X1),mult(mult(X0,x1),ld(x1,unit))),
    inference(superposition,[],[f7262,f35]) ).

fof(f7262,plain,
    ! [X0,X1] : mult(mult(mult(mult(x0,X0),x1),X1),ld(x1,unit)) = mult(ld(x1,X0),mult(mult(x1,X1),ld(x1,unit))),
    inference(backward_demodulation,[],[f528,f7258]) ).

fof(f7258,plain,
    ! [X0,X1] : mult(X0,ld(ld(x1,unit),mult(X1,ld(x1,unit)))) = mult(X0,mult(mult(x1,X1),ld(x1,unit))),
    inference(forward_demodulation,[],[f7257,f6284]) ).

fof(f6284,plain,
    ! [X0,X1] : mult(mult(rd(X1,ld(x1,unit)),X0),ld(x1,unit)) = mult(X1,mult(mult(x1,X0),ld(x1,unit))),
    inference(forward_demodulation,[],[f6283,f32]) ).

fof(f6283,plain,
    ! [X0,X1] : mult(mult(rd(X1,ld(x1,unit)),X0),ld(x1,unit)) = mult(X1,mult(mult(x1,X0),mult(mult(x0,x0),x1))),
    inference(forward_demodulation,[],[f6282,f4424]) ).

fof(f4424,plain,
    ! [X0,X1] : mult(mult(x1,X0),mult(mult(x0,X1),x1)) = mult(mult(x1,mult(X0,ld(x1,X1))),x1),
    inference(backward_demodulation,[],[f2164,f4422]) ).

fof(f4422,plain,
    ! [X0,X1] : mult(ld(x0,rd(X1,x1)),X0) = mult(x1,mult(X1,ld(x1,X0))),
    inference(forward_demodulation,[],[f4421,f6]) ).

fof(f4421,plain,
    ! [X0,X1] : mult(ld(x0,rd(X1,x1)),X0) = mult(x1,mult(X1,mult(unit,ld(x1,X0)))),
    inference(forward_demodulation,[],[f4420,f19]) ).

fof(f4420,plain,
    ! [X0,X1] : mult(ld(x0,rd(X1,x1)),X0) = mult(x1,mult(X1,mult(mult(x0,x1),ld(x1,X0)))),
    inference(forward_demodulation,[],[f4385,f782]) ).

fof(f782,plain,
    ! [X0,X1] : mult(mult(X1,rd(X0,x1)),x1) = mult(mult(X1,x1),ld(x1,X0)),
    inference(forward_demodulation,[],[f771,f130]) ).

fof(f130,plain,
    ! [X0] : ld(x1,X0) = mult(mult(mult(x0,X0),x0),x1),
    inference(backward_demodulation,[],[f30,f119]) ).

fof(f30,plain,
    ! [X0] : mult(mult(x0,rd(X0,x1)),x1) = ld(x1,X0),
    inference(superposition,[],[f26,f3]) ).

fof(f771,plain,
    ! [X0,X1] : mult(mult(X1,rd(X0,x1)),x1) = mult(mult(X1,x1),mult(mult(mult(x0,X0),x0),x1)),
    inference(superposition,[],[f34,f119]) ).

fof(f4385,plain,
    ! [X0,X1] : mult(x1,mult(X1,mult(mult(x0,rd(X0,x1)),x1))) = mult(ld(x0,rd(X1,x1)),X0),
    inference(superposition,[],[f982,f3]) ).

fof(f982,plain,
    ! [X0,X1] : mult(x1,mult(X1,mult(mult(x0,X0),x1))) = mult(ld(x0,rd(X1,x1)),mult(X0,x1)),
    inference(backward_demodulation,[],[f104,f965]) ).

fof(f965,plain,
    ! [X0] : rd(mult(x1,X0),x1) = ld(x0,rd(X0,x1)),
    inference(superposition,[],[f203,f3]) ).

fof(f203,plain,
    ! [X0] : ld(x0,X0) = rd(mult(x1,mult(X0,x1)),x1),
    inference(superposition,[],[f4,f99]) ).

fof(f104,plain,
    ! [X0,X1] : mult(x1,mult(X1,mult(mult(x0,X0),x1))) = mult(rd(mult(x1,X1),x1),mult(X0,x1)),
    inference(superposition,[],[f7,f35]) ).

fof(f2164,plain,
    ! [X0,X1] : mult(mult(x1,X0),mult(mult(x0,X1),x1)) = mult(mult(ld(x0,rd(X0,x1)),X1),x1),
    inference(superposition,[],[f318,f965]) ).

fof(f6282,plain,
    ! [X0,X1] : mult(mult(rd(X1,ld(x1,unit)),X0),ld(x1,unit)) = mult(X1,mult(mult(x1,mult(X0,ld(x1,x0))),x1)),
    inference(forward_demodulation,[],[f6236,f4422]) ).

fof(f6236,plain,
    ! [X0,X1] : mult(X1,mult(mult(ld(x0,rd(X0,x1)),x0),x1)) = mult(mult(rd(X1,ld(x1,unit)),X0),ld(x1,unit)),
    inference(superposition,[],[f478,f3]) ).

fof(f478,plain,
    ! [X0,X1] : mult(mult(rd(X0,ld(x1,unit)),mult(X1,x1)),ld(x1,unit)) = mult(X0,mult(mult(ld(x0,X1),x0),x1)),
    inference(forward_demodulation,[],[f461,f475]) ).

fof(f475,plain,
    ! [X0] : ld(ld(x1,unit),mult(mult(X0,x0),x1)) = mult(mult(ld(x0,X0),x0),x1),
    inference(forward_demodulation,[],[f474,f199]) ).

fof(f199,plain,
    ! [X0] : mult(mult(ld(x0,X0),x0),x1) = mult(mult(x1,mult(X0,x1)),ld(x1,unit)),
    inference(superposition,[],[f20,f99]) ).

fof(f474,plain,
    ! [X0] : ld(ld(x1,unit),mult(mult(X0,x0),x1)) = mult(mult(x1,mult(X0,x1)),ld(x1,unit)),
    inference(forward_demodulation,[],[f459,f6]) ).

fof(f459,plain,
    ! [X0] : mult(mult(x1,mult(X0,x1)),ld(x1,unit)) = mult(unit,ld(ld(x1,unit),mult(mult(X0,x0),x1))),
    inference(superposition,[],[f53,f1]) ).

fof(f53,plain,
    ! [X0,X1] : mult(mult(X1,mult(X0,x1)),ld(x1,unit)) = mult(mult(X1,ld(x1,unit)),ld(ld(x1,unit),mult(mult(X0,x0),x1))),
    inference(superposition,[],[f8,f20]) ).

fof(f461,plain,
    ! [X0,X1] : mult(mult(rd(X0,ld(x1,unit)),mult(X1,x1)),ld(x1,unit)) = mult(X0,ld(ld(x1,unit),mult(mult(X1,x0),x1))),
    inference(superposition,[],[f53,f3]) ).

fof(f7257,plain,
    ! [X0,X1] : mult(X0,ld(ld(x1,unit),mult(X1,ld(x1,unit)))) = mult(mult(rd(X0,ld(x1,unit)),X1),ld(x1,unit)),
    inference(forward_demodulation,[],[f7256,f1177]) ).

fof(f1177,plain,
    ! [X0] : rd(X0,ld(x1,unit)) = mult(mult(x0,mult(x1,X0)),x1),
    inference(forward_demodulation,[],[f1166,f146]) ).

fof(f146,plain,
    ! [X0] : mult(x0,mult(x1,X0)) = rd(rd(X0,x1),x0),
    inference(superposition,[],[f110,f3]) ).

fof(f1166,plain,
    ! [X0] : rd(X0,ld(x1,unit)) = mult(rd(rd(X0,x1),x0),x1),
    inference(superposition,[],[f211,f3]) ).

fof(f211,plain,
    ! [X0] : mult(rd(X0,x0),x1) = rd(mult(X0,x1),ld(x1,unit)),
    inference(superposition,[],[f57,f3]) ).

fof(f57,plain,
    ! [X0] : mult(X0,x1) = rd(mult(mult(X0,x0),x1),ld(x1,unit)),
    inference(superposition,[],[f4,f20]) ).

fof(f7256,plain,
    ! [X0,X1] : mult(X0,ld(ld(x1,unit),mult(X1,ld(x1,unit)))) = mult(mult(mult(mult(x0,mult(x1,X0)),x1),X1),ld(x1,unit)),
    inference(forward_demodulation,[],[f7213,f146]) ).

fof(f7213,plain,
    ! [X0,X1] : mult(X0,ld(ld(x1,unit),mult(X1,ld(x1,unit)))) = mult(mult(mult(rd(rd(X0,x1),x0),x1),X1),ld(x1,unit)),
    inference(superposition,[],[f524,f3]) ).

fof(f524,plain,
    ! [X0,X1] : mult(mult(mult(rd(X0,x0),x1),X1),ld(x1,unit)) = mult(mult(X0,x1),ld(ld(x1,unit),mult(X1,ld(x1,unit)))),
    inference(superposition,[],[f54,f3]) ).

fof(f54,plain,
    ! [X0,X1] : mult(mult(mult(X0,x1),X1),ld(x1,unit)) = mult(mult(mult(X0,x0),x1),ld(ld(x1,unit),mult(X1,ld(x1,unit)))),
    inference(superposition,[],[f8,f20]) ).

fof(f528,plain,
    ! [X0,X1] : mult(mult(mult(mult(x0,X0),x1),X1),ld(x1,unit)) = mult(ld(x1,X0),ld(ld(x1,unit),mult(X1,ld(x1,unit)))),
    inference(superposition,[],[f54,f130]) ).

fof(f18589,plain,
    ! [X0,X1] : mult(rd(X1,x1),ld(x0,X0)) = mult(x1,mult(ld(x1,X1),mult(mult(X0,x0),x1))),
    inference(superposition,[],[f1802,f893]) ).

fof(f1802,plain,
    ! [X0,X1] : mult(rd(X0,x1),mult(x1,X1)) = mult(x1,mult(ld(x1,X0),X1)),
    inference(forward_demodulation,[],[f1779,f130]) ).

fof(f1779,plain,
    ! [X0,X1] : mult(rd(X0,x1),mult(x1,X1)) = mult(x1,mult(mult(mult(mult(x0,X0),x0),x1),X1)),
    inference(superposition,[],[f115,f119]) ).

fof(f115,plain,
    ! [X0,X1] : mult(x1,mult(mult(mult(x0,X0),x1),X1)) = mult(X0,mult(x1,X1)),
    inference(forward_demodulation,[],[f105,f4]) ).

fof(f105,plain,
    ! [X0,X1] : mult(x1,mult(mult(mult(x0,X0),x1),X1)) = mult(rd(mult(X0,x1),x1),mult(x1,X1)),
    inference(superposition,[],[f7,f35]) ).

fof(f4599,plain,
    ! [X0,X1] : mult(rd(X0,x1),ld(x0,X1)) = rd(mult(X0,mult(X1,x1)),x1),
    inference(forward_demodulation,[],[f4523,f4]) ).

fof(f4523,plain,
    ! [X0,X1] : rd(mult(mult(rd(X0,x1),ld(x0,X1)),x0),x0) = rd(mult(X0,mult(X1,x1)),x1),
    inference(superposition,[],[f4,f2233]) ).

fof(f2233,plain,
    ! [X0,X1] : mult(mult(rd(X0,x1),ld(x0,X1)),x0) = mult(rd(mult(X0,mult(X1,x1)),x1),x0),
    inference(forward_demodulation,[],[f2207,f191]) ).

fof(f191,plain,
    ! [X0] : mult(rd(X0,x1),x0) = rd(mult(X0,ld(x1,unit)),x1),
    inference(superposition,[],[f4,f50]) ).

fof(f50,plain,
    ! [X0] : mult(mult(rd(X0,x1),x0),x1) = mult(X0,ld(x1,unit)),
    inference(superposition,[],[f20,f3]) ).

fof(f2207,plain,
    ! [X0,X1] : mult(mult(rd(X0,x1),ld(x0,X1)),x0) = rd(mult(mult(X0,mult(X1,x1)),ld(x1,unit)),x1),
    inference(superposition,[],[f4,f2144]) ).

fof(f2144,plain,
    ! [X0,X1] : mult(mult(X1,mult(X0,x1)),ld(x1,unit)) = mult(mult(mult(rd(X1,x1),ld(x0,X0)),x0),x1),
    inference(backward_demodulation,[],[f476,f2142]) ).

fof(f2142,plain,
    ! [X0,X1] : mult(mult(X1,ld(x1,unit)),mult(mult(X0,x0),x1)) = mult(mult(mult(rd(X1,x1),X0),x0),x1),
    inference(backward_demodulation,[],[f502,f2117]) ).

fof(f502,plain,
    ! [X0,X1] : mult(mult(X1,mult(mult(x0,X0),x1)),ld(x1,unit)) = mult(mult(X1,ld(x1,unit)),mult(mult(X0,x0),x1)),
    inference(superposition,[],[f476,f2]) ).

fof(f476,plain,
    ! [X0,X1] : mult(mult(X1,mult(X0,x1)),ld(x1,unit)) = mult(mult(X1,ld(x1,unit)),mult(mult(ld(x0,X0),x0),x1)),
    inference(backward_demodulation,[],[f53,f475]) ).

fof(f21065,plain,
    ! [X0] : rd(mult(x0,mult(X0,x1)),x1) = mult(mult(x0,x0),ld(x0,mult(sF2,X0))),
    inference(forward_demodulation,[],[f21018,f1872]) ).

fof(f1872,plain,
    ! [X0,X1] : mult(mult(X1,x0),ld(x0,X0)) = mult(mult(X1,rd(X0,x0)),x0),
    inference(forward_demodulation,[],[f1848,f110]) ).

fof(f1848,plain,
    ! [X0,X1] : mult(mult(X1,x0),ld(x0,X0)) = mult(mult(X1,mult(x0,mult(x1,mult(X0,x1)))),x0),
    inference(superposition,[],[f142,f99]) ).

fof(f142,plain,
    ! [X0,X1] : mult(mult(X1,mult(x0,mult(X0,x1))),x0) = mult(mult(X1,x0),X0),
    inference(forward_demodulation,[],[f123,f2]) ).

fof(f123,plain,
    ! [X0,X1] : mult(mult(X1,mult(x0,mult(X0,x1))),x0) = mult(mult(X1,x0),ld(x0,mult(x0,X0))),
    inference(superposition,[],[f8,f45]) ).

fof(f21018,plain,
    ! [X0] : rd(mult(x0,mult(X0,x1)),x1) = mult(mult(x0,rd(mult(sF2,X0),x0)),x0),
    inference(superposition,[],[f820,f20901]) ).

fof(f20901,plain,
    ! [X0] : mult(x1,mult(x0,mult(X0,x1))) = rd(mult(sF2,X0),x0),
    inference(superposition,[],[f1867,f14]) ).

fof(f1867,plain,
    ! [X0,X1] : mult(X0,mult(x0,mult(X1,x1))) = rd(mult(mult(X0,x0),X1),x0),
    inference(superposition,[],[f4,f142]) ).

fof(f820,plain,
    ! [X0] : rd(X0,x1) = mult(mult(x0,mult(x1,X0)),x0),
    inference(superposition,[],[f134,f2]) ).

fof(f134,plain,
    ! [X0] : rd(ld(x1,X0),x1) = mult(mult(x0,X0),x0),
    inference(backward_demodulation,[],[f92,f119]) ).

fof(f92,plain,
    ! [X0] : mult(x0,rd(X0,x1)) = rd(ld(x1,X0),x1),
    inference(superposition,[],[f4,f30]) ).

fof(f54172,plain,
    mult(mult(x0,x0),ld(x0,mult(sF2,x1))) = ld(mult(x0,sF2),x0),
    inference(forward_demodulation,[],[f54171,f22308]) ).

fof(f22308,plain,
    ! [X0] : mult(rd(mult(x0,X0),mult(x0,x0)),ld(x1,unit)) = mult(mult(x0,x0),ld(x0,mult(X0,x1))),
    inference(forward_demodulation,[],[f22241,f21347]) ).

fof(f21347,plain,
    ! [X0,X1] : mult(mult(x0,ld(rd(X0,x1),X1)),x1) = ld(X0,mult(X1,x1)),
    inference(superposition,[],[f2,f2114]) ).

fof(f2114,plain,
    ! [X0,X1] : mult(X1,x1) = mult(X0,mult(mult(x0,ld(rd(X0,x1),X1)),x1)),
    inference(superposition,[],[f318,f1]) ).

fof(f22241,plain,
    ! [X0] : mult(mult(x0,x0),mult(mult(x0,ld(rd(x0,x1),X0)),x1)) = mult(rd(mult(x0,X0),mult(x0,x0)),ld(x1,unit)),
    inference(superposition,[],[f64,f2569]) ).

fof(f2569,plain,
    ! [X0,X1] : mult(x0,X1) = mult(mult(x0,X0),mult(x0,ld(rd(X0,x1),X1))),
    inference(superposition,[],[f370,f1]) ).

fof(f370,plain,
    ! [X0,X1] : mult(x0,mult(rd(X0,x1),X1)) = mult(mult(x0,X0),mult(x0,X1)),
    inference(superposition,[],[f44,f3]) ).

fof(f44,plain,
    ! [X0,X1] : mult(x0,mult(X0,X1)) = mult(mult(x0,mult(X0,x1)),mult(x0,X1)),
    inference(superposition,[],[f7,f27]) ).

fof(f64,plain,
    ! [X0] : mult(mult(x0,x0),mult(X0,x1)) = mult(rd(mult(mult(x0,x0),X0),mult(x0,x0)),ld(x1,unit)),
    inference(superposition,[],[f7,f32]) ).

fof(f54171,plain,
    ld(mult(x0,sF2),x0) = mult(rd(mult(x0,sF2),mult(x0,x0)),ld(x1,unit)),
    inference(forward_demodulation,[],[f54170,f23521]) ).

fof(f23521,plain,
    ! [X2,X0,X1] : mult(x0,mult(rd(X0,X1),ld(x0,X2))) = mult(rd(mult(x0,X0),mult(x0,X1)),X2),
    inference(superposition,[],[f379,f2713]) ).

fof(f2713,plain,
    ! [X0,X1] : mult(x0,mult(rd(X0,X1),x1)) = rd(mult(x0,X0),mult(x0,X1)),
    inference(superposition,[],[f384,f3]) ).

fof(f384,plain,
    ! [X0,X1] : mult(x0,mult(X0,x1)) = rd(mult(x0,mult(X0,X1)),mult(x0,X1)),
    inference(superposition,[],[f4,f44]) ).

fof(f379,plain,
    ! [X0,X1] : mult(x0,mult(X1,ld(x0,X0))) = mult(mult(x0,mult(X1,x1)),X0),
    inference(superposition,[],[f44,f1]) ).

fof(f54170,plain,
    ld(mult(x0,sF2),x0) = mult(x0,mult(rd(sF2,x0),ld(x0,ld(x1,unit)))),
    inference(forward_demodulation,[],[f54169,f379]) ).

fof(f54169,plain,
    ld(mult(x0,sF2),x0) = mult(mult(x0,mult(rd(sF2,x0),x1)),ld(x1,unit)),
    inference(forward_demodulation,[],[f54168,f3467]) ).

fof(f3467,plain,
    ! [X0,X1] : mult(mult(X1,mult(rd(X0,x0),x1)),ld(x1,unit)) = ld(ld(x1,unit),mult(ld(x1,X1),mult(X0,x1))),
    inference(backward_demodulation,[],[f2147,f3466]) ).

fof(f3466,plain,
    ! [X0] : ld(ld(x1,unit),X0) = mult(mult(mult(x1,X0),x0),x1),
    inference(forward_demodulation,[],[f3465,f2]) ).

fof(f3465,plain,
    ! [X0] : ld(ld(x1,unit),X0) = mult(mult(ld(x0,mult(x0,mult(x1,X0))),x0),x1),
    inference(forward_demodulation,[],[f3450,f3]) ).

fof(f3450,plain,
    ! [X0] : mult(mult(ld(x0,mult(x0,mult(x1,X0))),x0),x1) = ld(ld(x1,unit),mult(rd(X0,x1),x1)),
    inference(superposition,[],[f475,f820]) ).

fof(f2147,plain,
    ! [X0,X1] : mult(mult(X1,mult(rd(X0,x0),x1)),ld(x1,unit)) = mult(mult(mult(x1,mult(ld(x1,X1),mult(X0,x1))),x0),x1),
    inference(forward_demodulation,[],[f2145,f1802]) ).

fof(f2145,plain,
    ! [X0,X1] : mult(mult(X1,mult(rd(X0,x0),x1)),ld(x1,unit)) = mult(mult(mult(rd(X1,x1),mult(x1,mult(X0,x1))),x0),x1),
    inference(backward_demodulation,[],[f897,f2142]) ).

fof(f897,plain,
    ! [X0,X1] : mult(mult(X1,mult(rd(X0,x0),x1)),ld(x1,unit)) = mult(mult(X1,ld(x1,unit)),mult(mult(mult(x1,mult(X0,x1)),x0),x1)),
    inference(superposition,[],[f476,f156]) ).

fof(f54168,plain,
    ld(mult(x0,sF2),x0) = ld(ld(x1,unit),mult(ld(x1,x0),mult(sF2,x1))),
    inference(forward_demodulation,[],[f54167,f6170]) ).

fof(f6170,plain,
    ! [X0,X1] : mult(mult(X0,ld(x1,unit)),ld(ld(x1,unit),X1)) = ld(ld(x1,unit),mult(ld(x1,X0),X1)),
    inference(forward_demodulation,[],[f6169,f3466]) ).

fof(f6169,plain,
    ! [X0,X1] : mult(mult(X0,ld(x1,unit)),ld(ld(x1,unit),X1)) = mult(mult(mult(x1,mult(ld(x1,X0),X1)),x0),x1),
    inference(forward_demodulation,[],[f6168,f1802]) ).

fof(f6168,plain,
    ! [X0,X1] : mult(mult(mult(rd(X0,x1),mult(x1,X1)),x0),x1) = mult(mult(X0,ld(x1,unit)),ld(ld(x1,unit),X1)),
    inference(forward_demodulation,[],[f6135,f32]) ).

fof(f6135,plain,
    ! [X0,X1] : mult(mult(mult(rd(X0,x1),mult(x1,X1)),x0),x1) = mult(mult(X0,mult(mult(x0,x0),x1)),ld(ld(x1,unit),X1)),
    inference(superposition,[],[f6103,f318]) ).

fof(f6103,plain,
    ! [X0,X1] : mult(mult(mult(X1,x0),x1),ld(ld(x1,unit),X0)) = mult(mult(mult(X1,mult(x1,X0)),x0),x1),
    inference(forward_demodulation,[],[f6102,f20]) ).

fof(f6102,plain,
    ! [X0,X1] : mult(mult(mult(X1,x0),x1),ld(ld(x1,unit),X0)) = mult(mult(mult(X1,mult(x1,X0)),x1),ld(x1,unit)),
    inference(backward_demodulation,[],[f531,f6055]) ).

fof(f6055,plain,
    ! [X0,X1] : mult(mult(X1,x1),rd(X0,ld(x1,unit))) = mult(mult(X1,mult(x1,X0)),x1),
    inference(superposition,[],[f34,f1177]) ).

fof(f531,plain,
    ! [X0,X1] : mult(mult(mult(X1,x1),rd(X0,ld(x1,unit))),ld(x1,unit)) = mult(mult(mult(X1,x0),x1),ld(ld(x1,unit),X0)),
    inference(superposition,[],[f54,f3]) ).

fof(f54167,plain,
    ld(mult(x0,sF2),x0) = mult(mult(x0,ld(x1,unit)),ld(ld(x1,unit),mult(sF2,x1))),
    inference(superposition,[],[f1,f24774]) ).

fof(f24774,plain,
    ld(ld(x1,unit),mult(sF2,x1)) = ld(mult(x0,ld(x1,unit)),ld(mult(x0,sF2),x0)),
    inference(forward_demodulation,[],[f24750,f5]) ).

fof(f24750,plain,
    ld(ld(x1,unit),mult(sF2,x1)) = ld(mult(x0,ld(x1,unit)),ld(mult(x0,sF2),mult(x0,unit))),
    inference(backward_demodulation,[],[f6668,f24712]) ).

fof(f6668,plain,
    ld(ld(x1,unit),mult(sF2,x1)) = ld(mult(x0,ld(x1,unit)),mult(rd(unit,x0),ld(x1,unit))),
    inference(forward_demodulation,[],[f6589,f3457]) ).

fof(f3457,plain,
    ld(ld(x1,unit),mult(sF2,x1)) = mult(mult(ld(x0,x1),x0),x1),
    inference(superposition,[],[f475,f14]) ).

fof(f6589,plain,
    mult(mult(ld(x0,x1),x0),x1) = ld(mult(x0,ld(x1,unit)),mult(rd(unit,x0),ld(x1,unit))),
    inference(superposition,[],[f491,f40]) ).

fof(f40,plain,
    rd(unit,x0) = mult(x0,mult(x1,x1)),
    inference(superposition,[],[f27,f19]) ).

fof(f491,plain,
    ! [X0,X1] : ld(mult(X0,ld(x1,unit)),mult(mult(X0,mult(X1,x1)),ld(x1,unit))) = mult(mult(ld(x0,X1),x0),x1),
    inference(forward_demodulation,[],[f473,f475]) ).

fof(f473,plain,
    ! [X0,X1] : ld(ld(x1,unit),mult(mult(X1,x0),x1)) = ld(mult(X0,ld(x1,unit)),mult(mult(X0,mult(X1,x1)),ld(x1,unit))),
    inference(superposition,[],[f2,f53]) ).

fof(f35618,plain,
    ld(x0,ld(x1,unit)) = mult(ld(sF2,x0),x1),
    inference(forward_demodulation,[],[f35568,f27986]) ).

fof(f27986,plain,
    ! [X0] : mult(ld(X0,x0),x1) = ld(ld(x0,X0),x1),
    inference(superposition,[],[f1,f27804]) ).

fof(f27804,plain,
    ! [X0] : x1 = ld(ld(X0,x0),ld(ld(x0,X0),x1)),
    inference(superposition,[],[f27644,f1]) ).

fof(f27644,plain,
    ! [X0] : x1 = ld(ld(mult(x0,X0),x0),ld(X0,x1)),
    inference(forward_demodulation,[],[f27643,f5]) ).

fof(f27643,plain,
    ! [X0] : x1 = ld(ld(mult(x0,X0),mult(x0,unit)),ld(X0,x1)),
    inference(forward_demodulation,[],[f27621,f22249]) ).

fof(f22249,plain,
    ! [X0,X1] : mult(x0,ld(rd(X0,x1),X1)) = ld(mult(x0,X0),mult(x0,X1)),
    inference(superposition,[],[f2,f2569]) ).

fof(f27621,plain,
    ! [X0] : x1 = ld(mult(x0,ld(rd(X0,x1),unit)),ld(X0,x1)),
    inference(superposition,[],[f22189,f3]) ).

fof(f22189,plain,
    ! [X0] : x1 = ld(mult(x0,ld(X0,unit)),ld(mult(X0,x1),x1)),
    inference(superposition,[],[f2,f22082]) ).

fof(f22082,plain,
    ! [X0] : mult(mult(x0,ld(X0,unit)),x1) = ld(mult(X0,x1),x1),
    inference(superposition,[],[f2481,f6]) ).

fof(f2481,plain,
    ! [X0,X1] : mult(mult(x0,ld(X0,X1)),x1) = ld(mult(X0,x1),mult(X1,x1)),
    inference(superposition,[],[f333,f1]) ).

fof(f333,plain,
    ! [X0,X1] : mult(mult(x0,X1),x1) = ld(mult(X0,x1),mult(mult(X0,X1),x1)),
    inference(superposition,[],[f2,f34]) ).

fof(f35568,plain,
    ld(x0,ld(x1,unit)) = ld(ld(x0,sF2),x1),
    inference(superposition,[],[f19539,f19]) ).

fof(f19539,plain,
    ! [X0] : ld(ld(x0,sF2),X0) = ld(x0,ld(x1,mult(x0,X0))),
    inference(superposition,[],[f2,f14031]) ).

fof(f14031,plain,
    ! [X0] : mult(x0,ld(ld(x0,sF2),X0)) = ld(x1,mult(x0,X0)),
    inference(superposition,[],[f2,f8172]) ).

fof(f8172,plain,
    ! [X0] : mult(x0,X0) = mult(x1,mult(x0,ld(ld(x0,sF2),X0))),
    inference(superposition,[],[f4360,f1]) ).

fof(f4360,plain,
    ! [X0] : mult(x1,mult(x0,X0)) = mult(x0,mult(ld(x0,sF2),X0)),
    inference(forward_demodulation,[],[f4359,f2]) ).

fof(f4359,plain,
    ! [X0] : mult(x1,mult(x0,X0)) = mult(x0,ld(x1,mult(x1,mult(ld(x0,sF2),X0)))),
    inference(forward_demodulation,[],[f4338,f299]) ).

fof(f299,plain,
    ! [X0] : mult(x0,ld(x1,X0)) = ld(rd(unit,x0),mult(x0,X0)),
    inference(superposition,[],[f76,f1]) ).

fof(f76,plain,
    ! [X0] : mult(x0,X0) = ld(rd(unit,x0),mult(x0,mult(x1,X0))),
    inference(superposition,[],[f2,f23]) ).

fof(f23,plain,
    ! [X0] : mult(x0,mult(x1,X0)) = mult(rd(unit,x0),mult(x0,X0)),
    inference(superposition,[],[f7,f19]) ).

fof(f4338,plain,
    ! [X0] : mult(x1,mult(x0,X0)) = ld(rd(unit,x0),mult(x0,mult(x1,mult(ld(x0,sF2),X0)))),
    inference(superposition,[],[f2,f652]) ).

fof(f652,plain,
    ! [X0] : mult(rd(unit,x0),mult(x1,mult(x0,X0))) = mult(x0,mult(x1,mult(ld(x0,sF2),X0))),
    inference(forward_demodulation,[],[f629,f645]) ).

fof(f645,plain,
    ! [X0,X1] : mult(mult(rd(unit,x0),X0),mult(x0,mult(x1,X1))) = mult(x0,mult(x1,mult(ld(x0,X0),X1))),
    inference(forward_demodulation,[],[f644,f25]) ).

fof(f25,plain,
    x1 = ld(x0,unit),
    inference(superposition,[],[f2,f19]) ).

fof(f644,plain,
    ! [X0,X1] : mult(mult(rd(unit,x0),X0),mult(x0,mult(x1,X1))) = mult(x0,mult(ld(x0,unit),mult(ld(x0,X0),X1))),
    inference(forward_demodulation,[],[f643,f386]) ).

fof(f386,plain,
    ! [X0,X1] : mult(x0,mult(ld(x0,X0),X1)) = mult(rd(X0,x0),mult(x0,X1)),
    inference(forward_demodulation,[],[f367,f110]) ).

fof(f367,plain,
    ! [X0,X1] : mult(x0,mult(ld(x0,X0),X1)) = mult(mult(x0,mult(x1,mult(X0,x1))),mult(x0,X1)),
    inference(superposition,[],[f44,f99]) ).

fof(f643,plain,
    ! [X0,X1] : mult(mult(rd(unit,x0),X0),mult(x0,mult(x1,X1))) = mult(rd(unit,x0),mult(x0,mult(ld(x0,X0),X1))),
    inference(forward_demodulation,[],[f627,f386]) ).

fof(f627,plain,
    ! [X0,X1] : mult(rd(unit,x0),mult(rd(X0,x0),mult(x0,X1))) = mult(mult(rd(unit,x0),X0),mult(x0,mult(x1,X1))),
    inference(superposition,[],[f610,f3]) ).

fof(f610,plain,
    ! [X0,X1] : mult(rd(unit,x0),mult(X1,mult(x0,X0))) = mult(mult(rd(unit,x0),mult(X1,x0)),mult(x0,mult(x1,X0))),
    inference(backward_demodulation,[],[f73,f607]) ).

fof(f607,plain,
    ! [X0] : rd(mult(rd(unit,x0),X0),rd(unit,x0)) = mult(rd(unit,x0),mult(X0,x0)),
    inference(forward_demodulation,[],[f606,f5]) ).

fof(f606,plain,
    ! [X0] : rd(mult(rd(unit,x0),X0),rd(unit,x0)) = mult(rd(unit,x0),mult(X0,mult(x0,unit))),
    inference(forward_demodulation,[],[f605,f5]) ).

fof(f605,plain,
    ! [X0] : mult(rd(unit,x0),mult(X0,mult(x0,unit))) = mult(rd(mult(rd(unit,x0),X0),rd(unit,x0)),unit),
    inference(forward_demodulation,[],[f585,f19]) ).

fof(f585,plain,
    ! [X0] : mult(rd(unit,x0),mult(X0,mult(x0,unit))) = mult(rd(mult(rd(unit,x0),X0),rd(unit,x0)),mult(x0,x1)),
    inference(superposition,[],[f73,f5]) ).

fof(f73,plain,
    ! [X0,X1] : mult(rd(unit,x0),mult(X1,mult(x0,X0))) = mult(rd(mult(rd(unit,x0),X1),rd(unit,x0)),mult(x0,mult(x1,X0))),
    inference(superposition,[],[f7,f23]) ).

fof(f629,plain,
    ! [X0] : mult(rd(unit,x0),mult(x1,mult(x0,X0))) = mult(mult(rd(unit,x0),sF2),mult(x0,mult(x1,X0))),
    inference(superposition,[],[f610,f14]) ).

fof(f35659,plain,
    ! [X0] : mult(mult(x0,mult(X0,rd(unit,x0))),x0) = mult(mult(x0,X0),mult(ld(sF2,x0),x1)),
    inference(backward_demodulation,[],[f25058,f35618]) ).

fof(f25058,plain,
    ! [X0] : mult(mult(x0,mult(X0,rd(unit,x0))),x0) = mult(mult(x0,X0),ld(x0,ld(x1,unit))),
    inference(superposition,[],[f4264,f6965]) ).

fof(f6965,plain,
    ld(x0,ld(x1,unit)) = rd(rd(unit,x0),x1),
    inference(superposition,[],[f3977,f6845]) ).

fof(f6845,plain,
    x1 = ld(ld(x0,ld(x1,unit)),rd(unit,x0)),
    inference(forward_demodulation,[],[f6814,f40]) ).

fof(f6814,plain,
    x1 = ld(ld(x0,ld(x1,unit)),mult(x0,mult(x1,x1))),
    inference(superposition,[],[f204,f1782]) ).

fof(f1782,plain,
    ! [X0] : mult(x0,mult(x1,X0)) = mult(x1,mult(ld(x1,unit),X0)),
    inference(superposition,[],[f115,f32]) ).

fof(f204,plain,
    ! [X0] : x1 = ld(ld(x0,X0),mult(x1,mult(X0,x1))),
    inference(superposition,[],[f2,f99]) ).

fof(f4264,plain,
    ! [X0,X1] : mult(mult(x0,X1),rd(X0,x1)) = mult(mult(x0,mult(X1,X0)),x0),
    inference(forward_demodulation,[],[f4236,f776]) ).

fof(f4236,plain,
    ! [X0,X1] : mult(mult(x0,X1),ld(x0,mult(mult(x0,X0),x0))) = mult(mult(x0,mult(X1,X0)),x0),
    inference(superposition,[],[f398,f2]) ).

fof(f398,plain,
    ! [X0,X1] : mult(mult(x0,X0),ld(x0,mult(X1,x0))) = mult(mult(x0,mult(X0,ld(x0,X1))),x0),
    inference(backward_demodulation,[],[f124,f379]) ).

fof(f124,plain,
    ! [X0,X1] : mult(mult(mult(x0,mult(X0,x1)),X1),x0) = mult(mult(x0,X0),ld(x0,mult(X1,x0))),
    inference(superposition,[],[f8,f45]) ).

fof(f33568,plain,
    mult(x0,mult(x1,rd(x0,sF2))) = mult(mult(x0,mult(sF2,rd(unit,x0))),x0),
    inference(forward_demodulation,[],[f33547,f25058]) ).

fof(f33547,plain,
    mult(x0,mult(x1,rd(x0,sF2))) = mult(mult(x0,sF2),ld(x0,ld(x1,unit))),
    inference(superposition,[],[f3594,f32390]) ).

fof(f32390,plain,
    ld(x0,ld(x1,unit)) = mult(rd(unit,x0),rd(x0,sF2)),
    inference(superposition,[],[f1,f30980]) ).

fof(f30980,plain,
    ld(rd(unit,x0),ld(x0,ld(x1,unit))) = rd(x0,sF2),
    inference(backward_demodulation,[],[f26773,f30979]) ).

fof(f30979,plain,
    mult(x0,ld(mult(x0,sF2),x0)) = rd(x0,sF2),
    inference(forward_demodulation,[],[f30978,f448]) ).

fof(f448,plain,
    ! [X0] : rd(X0,unit) = X0,
    inference(backward_demodulation,[],[f439,f440]) ).

fof(f440,plain,
    unit = ld(x0,x0),
    inference(superposition,[],[f435,f6]) ).

fof(f435,plain,
    ! [X0] : mult(X0,ld(x0,x0)) = X0,
    inference(forward_demodulation,[],[f424,f2]) ).

fof(f424,plain,
    ! [X0] : ld(x0,mult(x0,X0)) = mult(X0,ld(x0,x0)),
    inference(superposition,[],[f2,f402]) ).

fof(f402,plain,
    ! [X0] : mult(x0,X0) = mult(x0,mult(X0,ld(x0,x0))),
    inference(backward_demodulation,[],[f45,f379]) ).

fof(f439,plain,
    ! [X0] : rd(X0,ld(x0,x0)) = X0,
    inference(superposition,[],[f435,f3]) ).

fof(f30978,plain,
    rd(mult(x0,ld(mult(x0,sF2),x0)),unit) = rd(x0,sF2),
    inference(forward_demodulation,[],[f30977,f19]) ).

fof(f30977,plain,
    rd(mult(x0,ld(mult(x0,sF2),x0)),mult(x0,x1)) = rd(x0,sF2),
    inference(forward_demodulation,[],[f30976,f5]) ).

fof(f30976,plain,
    rd(mult(x0,ld(mult(x0,sF2),x0)),mult(x0,x1)) = rd(mult(x0,unit),sF2),
    inference(forward_demodulation,[],[f30975,f1]) ).

fof(f30975,plain,
    rd(mult(x0,ld(mult(x0,sF2),x0)),mult(x0,x1)) = rd(mult(x0,unit),mult(x0,ld(x0,sF2))),
    inference(forward_demodulation,[],[f30972,f2713]) ).

fof(f30972,plain,
    rd(mult(x0,ld(mult(x0,sF2),x0)),mult(x0,x1)) = mult(x0,mult(rd(unit,ld(x0,sF2)),x1)),
    inference(superposition,[],[f2695,f30959]) ).

fof(f30959,plain,
    x1 = ld(rd(unit,ld(x0,sF2)),ld(mult(x0,sF2),x0)),
    inference(backward_demodulation,[],[f24771,f30906]) ).

fof(f30906,plain,
    mult(ld(x0,ld(x1,unit)),x0) = rd(unit,ld(x0,sF2)),
    inference(superposition,[],[f26743,f6965]) ).

fof(f26743,plain,
    ! [X0] : rd(X0,ld(x0,sF2)) = mult(rd(rd(X0,x0),x1),x0),
    inference(superposition,[],[f26705,f3]) ).

fof(f26705,plain,
    ! [X0] : mult(rd(X0,x1),x0) = rd(mult(X0,x0),ld(x0,sF2)),
    inference(forward_demodulation,[],[f26628,f191]) ).

fof(f26628,plain,
    ! [X0] : rd(mult(X0,ld(x1,unit)),x1) = rd(mult(X0,x0),ld(x0,sF2)),
    inference(superposition,[],[f4,f21805]) ).

fof(f21805,plain,
    ! [X0] : mult(X0,ld(x1,unit)) = mult(rd(mult(X0,x0),ld(x0,sF2)),x1),
    inference(backward_demodulation,[],[f2923,f21732]) ).

fof(f21732,plain,
    ! [X0,X1] : mult(rd(X0,ld(x0,X1)),x1) = rd(mult(X0,x1),mult(X1,x1)),
    inference(superposition,[],[f4,f2262]) ).

fof(f2262,plain,
    ! [X0,X1] : mult(X0,x1) = mult(mult(rd(X0,ld(x0,X1)),x1),mult(X1,x1)),
    inference(superposition,[],[f326,f3]) ).

fof(f326,plain,
    ! [X0,X1] : mult(mult(X1,ld(x0,X0)),x1) = mult(mult(X1,x1),mult(X0,x1)),
    inference(superposition,[],[f34,f1]) ).

fof(f2923,plain,
    ! [X0] : mult(X0,ld(x1,unit)) = rd(mult(mult(X0,x0),x1),mult(sF2,x1)),
    inference(superposition,[],[f4,f514]) ).

fof(f514,plain,
    ! [X0] : mult(mult(X0,x0),x1) = mult(mult(X0,ld(x1,unit)),mult(sF2,x1)),
    inference(forward_demodulation,[],[f513,f20]) ).

fof(f513,plain,
    ! [X0] : mult(mult(X0,x1),ld(x1,unit)) = mult(mult(X0,ld(x1,unit)),mult(sF2,x1)),
    inference(forward_demodulation,[],[f512,f6]) ).

fof(f512,plain,
    ! [X0] : mult(mult(X0,mult(unit,x1)),ld(x1,unit)) = mult(mult(X0,ld(x1,unit)),mult(sF2,x1)),
    inference(forward_demodulation,[],[f501,f14]) ).

fof(f501,plain,
    ! [X0] : mult(mult(X0,mult(unit,x1)),ld(x1,unit)) = mult(mult(X0,ld(x1,unit)),mult(mult(x1,x0),x1)),
    inference(superposition,[],[f476,f25]) ).

fof(f24771,plain,
    x1 = ld(mult(ld(x0,ld(x1,unit)),x0),ld(mult(x0,sF2),x0)),
    inference(forward_demodulation,[],[f24747,f5]) ).

fof(f24747,plain,
    x1 = ld(mult(ld(x0,ld(x1,unit)),x0),ld(mult(x0,sF2),mult(x0,unit))),
    inference(backward_demodulation,[],[f5668,f24712]) ).

fof(f5668,plain,
    x1 = ld(mult(ld(x0,ld(x1,unit)),x0),mult(rd(unit,x0),ld(x1,unit))),
    inference(forward_demodulation,[],[f5667,f32]) ).

fof(f5667,plain,
    x1 = ld(mult(ld(x0,mult(mult(x0,x0),x1)),x0),mult(rd(unit,x0),ld(x1,unit))),
    inference(forward_demodulation,[],[f5628,f4587]) ).

fof(f4587,plain,
    ! [X0] : mult(mult(rd(X0,x1),ld(x0,x1)),x0) = mult(ld(x0,mult(mult(x0,X0),x1)),x0),
    inference(forward_demodulation,[],[f4586,f6]) ).

fof(f4586,plain,
    ! [X0] : mult(mult(rd(X0,x1),ld(x0,x1)),x0) = mult(mult(unit,ld(x0,mult(mult(x0,X0),x1))),x0),
    inference(forward_demodulation,[],[f4585,f1234]) ).

fof(f1234,plain,
    ! [X0] : unit = rd(X0,X0),
    inference(superposition,[],[f1185,f5]) ).

fof(f1185,plain,
    ! [X0,X1] : mult(rd(X0,X0),X1) = X1,
    inference(superposition,[],[f455,f1]) ).

fof(f455,plain,
    ! [X0,X1] : mult(X0,X1) = mult(rd(X0,X0),mult(X0,X1)),
    inference(forward_demodulation,[],[f454,f6]) ).

fof(f454,plain,
    ! [X0,X1] : mult(rd(X0,X0),mult(X0,X1)) = mult(X0,mult(unit,X1)),
    inference(forward_demodulation,[],[f443,f440]) ).

fof(f443,plain,
    ! [X0,X1] : mult(X0,mult(ld(x0,x0),X1)) = mult(rd(X0,X0),mult(X0,X1)),
    inference(superposition,[],[f7,f435]) ).

fof(f4585,plain,
    ! [X0] : mult(mult(rd(x1,x1),ld(x0,mult(mult(x0,X0),x1))),x0) = mult(mult(rd(X0,x1),ld(x0,x1)),x0),
    inference(forward_demodulation,[],[f4514,f2233]) ).

fof(f4514,plain,
    ! [X0] : mult(mult(rd(x1,x1),ld(x0,mult(mult(x0,X0),x1))),x0) = mult(rd(mult(X0,mult(x1,x1)),x1),x0),
    inference(superposition,[],[f2233,f115]) ).

fof(f5628,plain,
    x1 = ld(mult(mult(rd(x0,x1),ld(x0,x1)),x0),mult(rd(unit,x0),ld(x1,unit))),
    inference(superposition,[],[f2206,f40]) ).

fof(f2206,plain,
    ! [X0,X1] : x1 = ld(mult(mult(rd(X0,x1),ld(x0,X1)),x0),mult(mult(X0,mult(X1,x1)),ld(x1,unit))),
    inference(superposition,[],[f2,f2144]) ).

fof(f2695,plain,
    ! [X0,X1] : mult(x0,mult(X0,x1)) = rd(mult(x0,X1),mult(x0,ld(X0,X1))),
    inference(superposition,[],[f384,f1]) ).

fof(f26773,plain,
    mult(x0,ld(mult(x0,sF2),x0)) = ld(rd(unit,x0),ld(x0,ld(x1,unit))),
    inference(forward_demodulation,[],[f26772,f1690]) ).

fof(f1690,plain,
    ! [X0] : ld(rd(unit,x0),X0) = mult(x0,mult(mult(X0,x0),x1)),
    inference(forward_demodulation,[],[f1674,f167]) ).

fof(f167,plain,
    ! [X0] : mult(mult(X0,x0),x1) = ld(x1,ld(x0,X0)),
    inference(superposition,[],[f130,f1]) ).

fof(f1674,plain,
    ! [X0] : ld(rd(unit,x0),X0) = mult(x0,ld(x1,ld(x0,X0))),
    inference(superposition,[],[f299,f1]) ).

fof(f26772,plain,
    mult(x0,mult(mult(ld(x0,ld(x1,unit)),x0),x1)) = mult(x0,ld(mult(x0,sF2),x0)),
    inference(forward_demodulation,[],[f26771,f448]) ).

fof(f26771,plain,
    mult(x0,mult(mult(ld(x0,ld(x1,unit)),x0),x1)) = rd(mult(x0,ld(mult(x0,sF2),x0)),unit),
    inference(forward_demodulation,[],[f26768,f19]) ).

fof(f26768,plain,
    mult(x0,mult(mult(ld(x0,ld(x1,unit)),x0),x1)) = rd(mult(x0,ld(mult(x0,sF2),x0)),mult(x0,x1)),
    inference(superposition,[],[f2695,f24771]) ).

fof(f3594,plain,
    ! [X0] : mult(x0,mult(x1,X0)) = mult(mult(x0,sF2),mult(rd(unit,x0),X0)),
    inference(backward_demodulation,[],[f743,f3593]) ).

fof(f3593,plain,
    mult(x0,sF2) = rd(unit,rd(unit,x0)),
    inference(forward_demodulation,[],[f3592,f14]) ).

fof(f3592,plain,
    mult(x0,mult(x1,x0)) = rd(unit,rd(unit,x0)),
    inference(forward_demodulation,[],[f3591,f25]) ).

fof(f3591,plain,
    rd(unit,rd(unit,x0)) = mult(x0,mult(ld(x0,unit),x0)),
    inference(forward_demodulation,[],[f3585,f386]) ).

fof(f3585,plain,
    mult(rd(unit,x0),mult(x0,x0)) = rd(unit,rd(unit,x0)),
    inference(superposition,[],[f607,f3]) ).

fof(f743,plain,
    ! [X0] : mult(x0,mult(x1,X0)) = mult(rd(unit,rd(unit,x0)),mult(rd(unit,x0),X0)),
    inference(forward_demodulation,[],[f742,f25]) ).

fof(f742,plain,
    ! [X0] : mult(x0,mult(ld(x0,unit),X0)) = mult(rd(unit,rd(unit,x0)),mult(rd(unit,x0),X0)),
    inference(forward_demodulation,[],[f741,f386]) ).

fof(f741,plain,
    ! [X0] : mult(rd(unit,x0),mult(x0,X0)) = mult(rd(unit,rd(unit,x0)),mult(rd(unit,x0),X0)),
    inference(forward_demodulation,[],[f740,f5]) ).

fof(f740,plain,
    ! [X0] : mult(rd(unit,x0),mult(mult(x0,unit),X0)) = mult(rd(unit,rd(unit,x0)),mult(rd(unit,x0),X0)),
    inference(forward_demodulation,[],[f722,f19]) ).

fof(f722,plain,
    ! [X0] : mult(rd(unit,x0),mult(mult(x0,unit),X0)) = mult(rd(mult(x0,x1),rd(unit,x0)),mult(rd(unit,x0),X0)),
    inference(superposition,[],[f74,f5]) ).

fof(f74,plain,
    ! [X0,X1] : mult(rd(unit,x0),mult(mult(x0,X0),X1)) = mult(rd(mult(x0,mult(x1,X0)),rd(unit,x0)),mult(rd(unit,x0),X1)),
    inference(superposition,[],[f7,f23]) ).

fof(f31507,plain,
    rd(unit,x0) = ld(mult(x0,mult(x1,rd(x0,sF2))),mult(x0,ld(sF2,x1))),
    inference(superposition,[],[f8024,f31039]) ).

fof(f31039,plain,
    rd(rd(x0,sF2),x0) = mult(x0,ld(sF2,x1)),
    inference(forward_demodulation,[],[f30986,f27811]) ).

fof(f27811,plain,
    ! [X0] : ld(X0,x1) = mult(ld(mult(x0,X0),x0),x1),
    inference(superposition,[],[f1,f27644]) ).

fof(f30986,plain,
    mult(x0,mult(ld(mult(x0,sF2),x0),x1)) = rd(rd(x0,sF2),x0),
    inference(superposition,[],[f27,f30979]) ).

fof(f8024,plain,
    ! [X0] : rd(unit,x0) = ld(mult(x0,mult(x1,X0)),rd(X0,x0)),
    inference(superposition,[],[f4224,f3664]) ).

fof(f3664,plain,
    ! [X0] : mult(x0,mult(x1,X0)) = rd(rd(X0,x0),rd(unit,x0)),
    inference(forward_demodulation,[],[f3643,f4]) ).

fof(f3643,plain,
    ! [X0] : rd(rd(X0,x0),rd(unit,x0)) = mult(x0,mult(x1,rd(mult(X0,x1),x1))),
    inference(superposition,[],[f1459,f110]) ).

fof(f1459,plain,
    ! [X0] : rd(mult(x0,mult(x1,X0)),rd(unit,x0)) = mult(x0,mult(x1,rd(X0,x1))),
    inference(backward_demodulation,[],[f757,f1430]) ).

fof(f1430,plain,
    ! [X0] : mult(rd(unit,x0),mult(mult(x0,X0),x0)) = mult(x0,mult(x1,rd(X0,x1))),
    inference(superposition,[],[f70,f776]) ).

fof(f70,plain,
    ! [X0] : mult(x0,mult(x1,ld(x0,X0))) = mult(rd(unit,x0),X0),
    inference(superposition,[],[f23,f1]) ).

fof(f757,plain,
    ! [X0] : rd(mult(x0,mult(x1,X0)),rd(unit,x0)) = mult(rd(unit,x0),mult(mult(x0,X0),x0)),
    inference(forward_demodulation,[],[f728,f5]) ).

fof(f728,plain,
    ! [X0] : mult(rd(unit,x0),mult(mult(x0,X0),x0)) = mult(rd(mult(x0,mult(x1,X0)),rd(unit,x0)),unit),
    inference(superposition,[],[f74,f3]) ).

fof(f4224,plain,
    ! [X0,X1] : ld(rd(X0,X1),X0) = X1,
    inference(forward_demodulation,[],[f4183,f2]) ).

fof(f4183,plain,
    ! [X0,X1] : ld(x0,mult(x0,X1)) = ld(rd(X0,X1),X0),
    inference(superposition,[],[f2,f2905]) ).

fof(f2905,plain,
    ! [X0,X1] : mult(x0,X1) = mult(x0,ld(rd(X0,X1),X0)),
    inference(forward_demodulation,[],[f2873,f2864]) ).

fof(f2864,plain,
    ! [X0,X1] : mult(x0,ld(X0,X1)) = ld(mult(x0,mult(X0,x1)),mult(x0,X1)),
    inference(superposition,[],[f385,f1]) ).

fof(f385,plain,
    ! [X0,X1] : mult(x0,X1) = ld(mult(x0,mult(X0,x1)),mult(x0,mult(X0,X1))),
    inference(superposition,[],[f2,f44]) ).

fof(f2873,plain,
    ! [X0,X1] : mult(x0,X1) = ld(mult(x0,mult(rd(X0,X1),x1)),mult(x0,X0)),
    inference(superposition,[],[f385,f3]) ).

fof(f3977,plain,
    ! [X0,X1] : rd(X0,ld(X1,X0)) = X1,
    inference(forward_demodulation,[],[f3940,f4]) ).

fof(f3940,plain,
    ! [X0,X1] : rd(X0,ld(X1,X0)) = rd(mult(X1,x1),x1),
    inference(superposition,[],[f4,f2390]) ).

fof(f2390,plain,
    ! [X0,X1] : mult(X0,x1) = mult(rd(X1,ld(X0,X1)),x1),
    inference(backward_demodulation,[],[f2297,f2314]) ).

fof(f2314,plain,
    ! [X0,X1] : mult(rd(X0,X1),x1) = rd(mult(X0,x1),mult(mult(x0,X1),x1)),
    inference(superposition,[],[f332,f3]) ).

fof(f332,plain,
    ! [X0,X1] : mult(X0,x1) = rd(mult(mult(X0,X1),x1),mult(mult(x0,X1),x1)),
    inference(superposition,[],[f4,f34]) ).

fof(f2297,plain,
    ! [X0,X1] : mult(X0,x1) = rd(mult(X1,x1),mult(mult(x0,ld(X0,X1)),x1)),
    inference(superposition,[],[f332,f1]) ).

fof(f3653,plain,
    mult(x0,mult(x1,sF2)) = rd(x1,rd(unit,x0)),
    inference(forward_demodulation,[],[f3652,f4]) ).

fof(f3652,plain,
    mult(x0,mult(x1,rd(mult(sF2,x1),x1))) = rd(x1,rd(unit,x0)),
    inference(forward_demodulation,[],[f3637,f1]) ).

fof(f3637,plain,
    mult(x0,mult(x1,rd(mult(sF2,x1),x1))) = rd(mult(x0,ld(x0,x1)),rd(unit,x0)),
    inference(superposition,[],[f1459,f896]) ).

fof(f896,plain,
    ld(x0,x1) = mult(x1,mult(sF2,x1)),
    inference(superposition,[],[f156,f241]) ).

fof(f241,plain,
    x1 = rd(sF2,x0),
    inference(forward_demodulation,[],[f232,f4]) ).

fof(f232,plain,
    rd(sF2,x0) = rd(mult(x1,x1),x1),
    inference(superposition,[],[f4,f221]) ).

fof(f221,plain,
    mult(x1,x1) = mult(rd(sF2,x0),x1),
    inference(forward_demodulation,[],[f213,f211]) ).

fof(f213,plain,
    mult(x1,x1) = rd(mult(sF2,x1),ld(x1,unit)),
    inference(superposition,[],[f57,f14]) ).

fof(f30934,plain,
    ! [X0] : rd(rd(X0,x0),x1) = rd(rd(X0,ld(x0,sF2)),x0),
    inference(superposition,[],[f4,f26743]) ).

fof(f141521,plain,
    ! [X0] : rd(rd(X0,sF2),ld(x1,unit)) = mult(rd(rd(X0,mult(x1,sF2)),x0),x1),
    inference(superposition,[],[f211,f122631]) ).

fof(f122631,plain,
    ! [X0] : rd(X0,sF2) = mult(rd(X0,mult(x1,sF2)),x1),
    inference(superposition,[],[f1,f120145]) ).

fof(f120145,plain,
    ! [X0] : x1 = ld(rd(X0,mult(x1,sF2)),rd(X0,sF2)),
    inference(backward_demodulation,[],[f68520,f120108]) ).

fof(f120108,plain,
    ! [X0] : rd(X0,sF2) = mult(X0,ld(sF2,unit)),
    inference(forward_demodulation,[],[f120107,f1]) ).

fof(f120107,plain,
    ! [X0] : rd(mult(x1,ld(x1,X0)),sF2) = mult(X0,ld(sF2,unit)),
    inference(forward_demodulation,[],[f120106,f2]) ).

fof(f120106,plain,
    ! [X0] : rd(mult(x1,ld(x1,X0)),sF2) = ld(x0,mult(x0,mult(X0,ld(sF2,unit)))),
    inference(forward_demodulation,[],[f120105,f51678]) ).

fof(f51678,plain,
    ! [X0] : ld(x0,rd(rd(X0,x0),x1)) = rd(mult(x1,X0),sF2),
    inference(forward_demodulation,[],[f51592,f965]) ).

fof(f51592,plain,
    ! [X0] : rd(mult(x1,rd(X0,x0)),x1) = rd(mult(x1,X0),sF2),
    inference(superposition,[],[f4,f49796]) ).

fof(f49796,plain,
    ! [X0] : mult(x1,rd(X0,x0)) = mult(rd(mult(x1,X0),sF2),x1),
    inference(superposition,[],[f38340,f3]) ).

fof(f38340,plain,
    ! [X0] : mult(x1,X0) = mult(rd(mult(x1,mult(X0,x0)),sF2),x1),
    inference(forward_demodulation,[],[f37847,f3]) ).

fof(f37847,plain,
    ! [X0] : mult(rd(mult(x1,X0),x1),x1) = mult(rd(mult(x1,mult(X0,x0)),sF2),x1),
    inference(superposition,[],[f2400,f14]) ).

fof(f2400,plain,
    ! [X2,X0,X1] : mult(rd(mult(X0,X1),X0),x1) = mult(rd(mult(X0,mult(X1,X2)),mult(X0,X2)),x1),
    inference(forward_demodulation,[],[f2315,f2314]) ).

fof(f2315,plain,
    ! [X2,X0,X1] : mult(rd(mult(X0,X1),X0),x1) = rd(mult(mult(X0,mult(X1,X2)),x1),mult(mult(x0,mult(X0,X2)),x1)),
    inference(superposition,[],[f332,f7]) ).

fof(f120105,plain,
    ! [X0] : ld(x0,mult(x0,mult(X0,ld(sF2,unit)))) = ld(x0,rd(rd(ld(x1,X0),x0),x1)),
    inference(forward_demodulation,[],[f119945,f25192]) ).

fof(f25192,plain,
    ! [X0,X1] : ld(x0,X0) = rd(mult(x1,mult(mult(X0,X1),x1)),mult(X1,x1)),
    inference(superposition,[],[f4,f4398]) ).

fof(f4398,plain,
    ! [X0,X1] : mult(ld(x0,X0),mult(X1,x1)) = mult(x1,mult(mult(X0,X1),x1)),
    inference(forward_demodulation,[],[f4371,f34]) ).

fof(f4371,plain,
    ! [X0,X1] : mult(ld(x0,X0),mult(X1,x1)) = mult(x1,mult(mult(X0,x1),mult(mult(x0,X1),x1))),
    inference(superposition,[],[f982,f4]) ).

fof(f119945,plain,
    ! [X0,X1] : ld(x0,rd(rd(ld(x1,X0),x0),x1)) = rd(mult(x1,mult(mult(mult(x0,mult(X0,ld(sF2,unit))),X1),x1)),mult(X1,x1)),
    inference(superposition,[],[f4389,f68442]) ).

fof(f68442,plain,
    ! [X0,X1] : mult(rd(ld(x1,X0),x0),mult(mult(x0,X1),x1)) = mult(mult(mult(x0,mult(X0,ld(sF2,unit))),X1),x1),
    inference(backward_demodulation,[],[f54293,f68035]) ).

fof(f68035,plain,
    ld(sF2,unit) = ld(mult(x0,sF2),x0),
    inference(superposition,[],[f2,f67647]) ).

fof(f67647,plain,
    unit = mult(sF2,ld(mult(x0,sF2),x0)),
    inference(forward_demodulation,[],[f67646,f3]) ).

fof(f67646,plain,
    mult(rd(unit,x0),x0) = mult(sF2,ld(mult(x0,sF2),x0)),
    inference(forward_demodulation,[],[f67604,f54181]) ).

fof(f54181,plain,
    rd(rd(unit,x0),x1) = ld(mult(x0,sF2),x0),
    inference(backward_demodulation,[],[f35624,f54175]) ).

fof(f35624,plain,
    rd(rd(unit,x0),x1) = mult(ld(sF2,x0),x1),
    inference(backward_demodulation,[],[f6965,f35618]) ).

fof(f67604,plain,
    mult(rd(unit,x0),x0) = mult(sF2,rd(rd(unit,x0),x1)),
    inference(superposition,[],[f14461,f55925]) ).

fof(f55925,plain,
    rd(unit,x0) = mult(x1,mult(x0,rd(unit,x0))),
    inference(forward_demodulation,[],[f55924,f22766]) ).

fof(f22766,plain,
    ! [X0] : mult(x1,mult(x0,X0)) = mult(mult(rd(X0,ld(x0,x1)),x1),x1),
    inference(superposition,[],[f2646,f3]) ).

fof(f2646,plain,
    ! [X0] : mult(mult(X0,x1),x1) = mult(x1,mult(x0,mult(X0,ld(x0,x1)))),
    inference(superposition,[],[f35,f379]) ).

fof(f55924,plain,
    rd(unit,x0) = mult(mult(rd(rd(unit,x0),ld(x0,x1)),x1),x1),
    inference(forward_demodulation,[],[f55923,f21732]) ).

fof(f55923,plain,
    rd(unit,x0) = mult(rd(mult(rd(unit,x0),x1),mult(x1,x1)),x1),
    inference(forward_demodulation,[],[f55922,f6]) ).

fof(f55922,plain,
    rd(unit,x0) = mult(rd(mult(rd(unit,x0),x1),mult(x1,mult(unit,x1))),x1),
    inference(forward_demodulation,[],[f55921,f156]) ).

fof(f55921,plain,
    rd(unit,x0) = mult(rd(mult(rd(unit,x0),x1),ld(x0,rd(unit,x0))),x1),
    inference(forward_demodulation,[],[f55920,f21732]) ).

fof(f55920,plain,
    rd(unit,x0) = rd(mult(mult(rd(unit,x0),x1),x1),mult(rd(unit,x0),x1)),
    inference(forward_demodulation,[],[f55394,f5143]) ).

fof(f5143,plain,
    ! [X0] : mult(mult(rd(unit,x0),X0),x1) = rd(ld(x0,mult(X0,sF2)),x0),
    inference(forward_demodulation,[],[f5142,f197]) ).

fof(f197,plain,
    ! [X0] : mult(x0,mult(x1,mult(x1,mult(X0,x1)))) = rd(ld(x0,X0),x0),
    inference(superposition,[],[f110,f99]) ).

fof(f5142,plain,
    ! [X0] : mult(mult(rd(unit,x0),X0),x1) = mult(x0,mult(x1,mult(x1,mult(mult(X0,sF2),x1)))),
    inference(forward_demodulation,[],[f5141,f4398]) ).

fof(f5141,plain,
    ! [X0] : mult(mult(rd(unit,x0),X0),x1) = mult(x0,mult(x1,mult(ld(x0,X0),mult(sF2,x1)))),
    inference(forward_demodulation,[],[f5102,f1]) ).

fof(f5102,plain,
    ! [X0] : mult(x0,mult(x1,mult(ld(x0,X0),mult(sF2,x1)))) = mult(mult(rd(unit,x0),X0),mult(x0,ld(x0,x1))),
    inference(superposition,[],[f645,f896]) ).

fof(f55394,plain,
    rd(unit,x0) = rd(rd(ld(x0,mult(x1,sF2)),x0),mult(rd(unit,x0),x1)),
    inference(backward_demodulation,[],[f4769,f54910]) ).

fof(f4769,plain,
    rd(unit,x0) = rd(rd(ld(x0,ld(x0,sF2)),x0),mult(rd(unit,x0),x1)),
    inference(superposition,[],[f293,f1076]) ).

fof(f1076,plain,
    mult(rd(unit,x0),x1) = rd(ld(x0,sF2),x0),
    inference(forward_demodulation,[],[f1072,f70]) ).

fof(f1072,plain,
    mult(x0,mult(x1,ld(x0,x1))) = rd(ld(x0,sF2),x0),
    inference(superposition,[],[f146,f969]) ).

fof(f969,plain,
    ld(x0,sF2) = rd(ld(x0,x1),x1),
    inference(superposition,[],[f203,f896]) ).

fof(f293,plain,
    ! [X0] : rd(unit,x0) = rd(rd(ld(x0,X0),x0),rd(X0,x0)),
    inference(forward_demodulation,[],[f286,f197]) ).

fof(f286,plain,
    ! [X0] : rd(unit,x0) = rd(mult(x0,mult(x1,mult(x1,mult(X0,x1)))),rd(X0,x0)),
    inference(superposition,[],[f75,f110]) ).

fof(f75,plain,
    ! [X0] : rd(unit,x0) = rd(mult(x0,mult(x1,X0)),mult(x0,X0)),
    inference(superposition,[],[f4,f23]) ).

fof(f14461,plain,
    ! [X0] : mult(mult(x1,mult(x0,X0)),x0) = mult(sF2,rd(X0,x1)),
    inference(superposition,[],[f8218,f776]) ).

fof(f8218,plain,
    ! [X0] : mult(mult(x1,X0),x0) = mult(sF2,ld(x0,mult(X0,x0))),
    inference(forward_demodulation,[],[f8217,f1]) ).

fof(f8217,plain,
    ! [X0] : mult(mult(x1,X0),x0) = mult(mult(x0,ld(x0,sF2)),ld(x0,mult(X0,x0))),
    inference(forward_demodulation,[],[f8175,f1]) ).

fof(f8175,plain,
    ! [X0] : mult(mult(x0,ld(x0,sF2)),ld(x0,mult(X0,x0))) = mult(mult(x1,mult(x0,ld(x0,X0))),x0),
    inference(superposition,[],[f398,f4360]) ).

fof(f54293,plain,
    ! [X0,X1] : mult(rd(ld(x1,X0),x0),mult(mult(x0,X1),x1)) = mult(mult(mult(x0,mult(X0,ld(mult(x0,sF2),x0))),X1),x1),
    inference(backward_demodulation,[],[f46362,f54175]) ).

fof(f46362,plain,
    ! [X0,X1] : mult(mult(mult(x0,mult(X0,mult(ld(sF2,x0),x1))),X1),x1) = mult(rd(ld(x1,X0),x0),mult(mult(x0,X1),x1)),
    inference(forward_demodulation,[],[f46361,f2662]) ).

fof(f2662,plain,
    ! [X0,X1] : mult(rd(X0,x0),X1) = mult(x0,mult(ld(x0,X0),ld(x0,X1))),
    inference(forward_demodulation,[],[f2624,f110]) ).

fof(f2624,plain,
    ! [X0,X1] : mult(x0,mult(ld(x0,X0),ld(x0,X1))) = mult(mult(x0,mult(x1,mult(X0,x1))),X1),
    inference(superposition,[],[f379,f99]) ).

fof(f46361,plain,
    ! [X0,X1] : mult(mult(mult(x0,mult(X0,mult(ld(sF2,x0),x1))),X1),x1) = mult(x0,mult(ld(x0,ld(x1,X0)),ld(x0,mult(mult(x0,X1),x1)))),
    inference(forward_demodulation,[],[f46360,f379]) ).

fof(f46360,plain,
    ! [X0,X1] : mult(mult(mult(x0,mult(X0,mult(ld(sF2,x0),x1))),X1),x1) = mult(mult(x0,mult(ld(x0,ld(x1,X0)),x1)),mult(mult(x0,X1),x1)),
    inference(forward_demodulation,[],[f46355,f18661]) ).

fof(f18661,plain,
    ! [X2,X0,X1] : mult(mult(X2,mult(X0,x1)),mult(mult(x0,X1),x1)) = mult(mult(ld(x0,mult(mult(x0,X2),X0)),X1),x1),
    inference(backward_demodulation,[],[f10187,f18628]) ).

fof(f10187,plain,
    ! [X2,X0,X1] : mult(mult(X2,mult(X0,x1)),mult(mult(x0,X1),x1)) = mult(mult(mult(rd(X2,x1),ld(x0,X0)),X1),x1),
    inference(backward_demodulation,[],[f2519,f10183]) ).

fof(f10183,plain,
    ! [X2,X0,X1] : mult(mult(mult(X0,ld(x0,X1)),X2),x1) = mult(mult(mult(X0,X2),ld(mult(x0,X2),mult(X1,X2))),x1),
    inference(forward_demodulation,[],[f10068,f2267]) ).

fof(f2267,plain,
    ! [X2,X0,X1] : mult(mult(mult(X0,ld(x0,X1)),X2),x1) = mult(mult(mult(X0,x1),mult(X1,x1)),mult(mult(x0,X2),x1)),
    inference(superposition,[],[f34,f326]) ).

fof(f10068,plain,
    ! [X2,X0,X1] : mult(mult(mult(X0,x1),mult(X1,x1)),mult(mult(x0,X2),x1)) = mult(mult(mult(X0,X2),ld(mult(x0,X2),mult(X1,X2))),x1),
    inference(superposition,[],[f2519,f4]) ).

fof(f2519,plain,
    ! [X2,X0,X1] : mult(mult(X2,mult(X0,x1)),mult(mult(x0,X1),x1)) = mult(mult(mult(rd(X2,x1),X1),ld(mult(x0,X1),mult(X0,X1))),x1),
    inference(forward_demodulation,[],[f2514,f2119]) ).

fof(f2119,plain,
    ! [X2,X0,X1] : mult(mult(mult(rd(X0,x1),X1),X2),x1) = mult(mult(X0,mult(mult(x0,X1),x1)),mult(mult(x0,X2),x1)),
    inference(superposition,[],[f34,f318]) ).

fof(f2514,plain,
    ! [X2,X0,X1] : mult(mult(X2,mult(X0,x1)),mult(mult(x0,X1),x1)) = mult(mult(X2,mult(mult(x0,X1),x1)),mult(mult(x0,ld(mult(x0,X1),mult(X0,X1))),x1)),
    inference(backward_demodulation,[],[f328,f2481]) ).

fof(f328,plain,
    ! [X2,X0,X1] : mult(mult(X2,mult(X0,x1)),mult(mult(x0,X1),x1)) = mult(mult(X2,mult(mult(x0,X1),x1)),ld(mult(mult(x0,X1),x1),mult(mult(X0,X1),x1))),
    inference(superposition,[],[f8,f34]) ).

fof(f46355,plain,
    ! [X0,X1] : mult(mult(mult(x0,mult(X0,mult(ld(sF2,x0),x1))),X1),x1) = mult(mult(ld(x0,mult(mult(x0,x0),ld(x0,ld(x1,X0)))),X1),x1),
    inference(backward_demodulation,[],[f35649,f46354]) ).

fof(f46354,plain,
    ! [X0] : mult(mult(mult(rd(x0,x1),X0),x0),x1) = mult(mult(x0,x0),ld(x0,ld(x1,X0))),
    inference(forward_demodulation,[],[f46320,f2117]) ).

fof(f46320,plain,
    ! [X0] : mult(mult(x0,x0),ld(x0,ld(x1,X0))) = mult(mult(x0,mult(mult(x0,X0),x1)),ld(x1,unit)),
    inference(superposition,[],[f4722,f215]) ).

fof(f215,plain,
    ! [X0] : mult(mult(x0,X0),x1) = rd(ld(x1,X0),ld(x1,unit)),
    inference(superposition,[],[f57,f130]) ).

fof(f4722,plain,
    ! [X0] : mult(mult(x0,x0),ld(x0,X0)) = mult(mult(x0,rd(X0,ld(x1,unit))),ld(x1,unit)),
    inference(forward_demodulation,[],[f4721,f893]) ).

fof(f4721,plain,
    ! [X0] : mult(mult(x0,rd(X0,ld(x1,unit))),ld(x1,unit)) = mult(mult(x0,x0),mult(x1,mult(mult(X0,x0),x1))),
    inference(forward_demodulation,[],[f4720,f99]) ).

fof(f4720,plain,
    ! [X0] : mult(mult(x0,x0),mult(ld(x0,mult(X0,x0)),x1)) = mult(mult(x0,rd(X0,ld(x1,unit))),ld(x1,unit)),
    inference(forward_demodulation,[],[f4704,f2762]) ).

fof(f2762,plain,
    ! [X0] : rd(mult(mult(x0,X0),x0),mult(x0,x0)) = mult(x0,rd(X0,ld(x1,unit))),
    inference(forward_demodulation,[],[f2761,f1177]) ).

fof(f2761,plain,
    ! [X0] : mult(x0,mult(mult(x0,mult(x1,X0)),x1)) = rd(mult(mult(x0,X0),x0),mult(x0,x0)),
    inference(forward_demodulation,[],[f2703,f119]) ).

fof(f2703,plain,
    ! [X0] : mult(x0,mult(mult(x0,mult(x1,X0)),x1)) = rd(mult(x0,rd(X0,x1)),mult(x0,x0)),
    inference(superposition,[],[f384,f820]) ).

fof(f4704,plain,
    ! [X0] : mult(mult(x0,x0),mult(ld(x0,mult(X0,x0)),x1)) = mult(rd(mult(mult(x0,X0),x0),mult(x0,x0)),ld(x1,unit)),
    inference(superposition,[],[f64,f8]) ).

fof(f35649,plain,
    ! [X0,X1] : mult(mult(ld(x0,mult(mult(mult(rd(x0,x1),X0),x0),x1)),X1),x1) = mult(mult(mult(x0,mult(X0,mult(ld(sF2,x0),x1))),X1),x1),
    inference(backward_demodulation,[],[f22344,f35618]) ).

fof(f22344,plain,
    ! [X0,X1] : mult(mult(ld(x0,mult(mult(mult(rd(x0,x1),X0),x0),x1)),X1),x1) = mult(mult(mult(x0,mult(X0,ld(x0,ld(x1,unit)))),X1),x1),
    inference(forward_demodulation,[],[f22341,f32]) ).

fof(f22341,plain,
    ! [X0,X1] : mult(mult(ld(x0,mult(mult(mult(rd(x0,x1),X0),x0),x1)),X1),x1) = mult(mult(mult(x0,mult(X0,ld(x0,mult(mult(x0,x0),x1)))),X1),x1),
    inference(backward_demodulation,[],[f19149,f22339]) ).

fof(f22339,plain,
    ! [X0,X1] : mult(x0,mult(X1,ld(x0,mult(mult(x0,X0),x1)))) = mult(mult(x0,X0),ld(X0,mult(mult(X1,X0),x1))),
    inference(backward_demodulation,[],[f20247,f22329]) ).

fof(f22329,plain,
    ! [X0,X1] : ld(X0,mult(X1,x1)) = mult(ld(mult(x0,X0),mult(x0,X1)),x1),
    inference(backward_demodulation,[],[f21347,f22249]) ).

fof(f20247,plain,
    ! [X0,X1] : mult(x0,mult(X1,ld(x0,mult(mult(x0,X0),x1)))) = mult(mult(x0,X0),mult(ld(mult(x0,X0),mult(x0,mult(X1,X0))),x1)),
    inference(forward_demodulation,[],[f20246,f379]) ).

fof(f20246,plain,
    ! [X0,X1] : mult(mult(x0,X0),mult(ld(mult(x0,X0),mult(x0,mult(X1,X0))),x1)) = mult(mult(x0,mult(X1,x1)),mult(mult(x0,X0),x1)),
    inference(forward_demodulation,[],[f20245,f18661]) ).

fof(f20245,plain,
    ! [X0,X1] : mult(mult(x0,X0),mult(ld(mult(x0,X0),mult(x0,mult(X1,X0))),x1)) = mult(mult(ld(x0,mult(mult(x0,x0),X1)),X0),x1),
    inference(forward_demodulation,[],[f20163,f35]) ).

fof(f20163,plain,
    ! [X0,X1] : mult(mult(x0,X0),mult(ld(mult(x0,X0),mult(x0,mult(X1,X0))),x1)) = mult(x1,mult(mult(x0,mult(ld(x0,mult(mult(x0,x0),X1)),X0)),x1)),
    inference(superposition,[],[f1808,f17447]) ).

fof(f17447,plain,
    ! [X2,X0,X1] : mult(mult(X2,mult(x0,X1)),ld(mult(x0,X1),mult(x0,mult(X0,X1)))) = mult(x0,mult(ld(x0,mult(mult(X2,x0),X0)),X1)),
    inference(backward_demodulation,[],[f380,f17387]) ).

fof(f17387,plain,
    ! [X2,X0,X1] : mult(mult(X0,mult(x0,mult(X1,x1))),mult(x0,X2)) = mult(x0,mult(ld(x0,mult(mult(X0,x0),X1)),X2)),
    inference(superposition,[],[f1683,f142]) ).

fof(f1683,plain,
    ! [X0,X1] : mult(X0,mult(x0,X1)) = mult(x0,mult(ld(x0,mult(X0,x0)),X1)),
    inference(forward_demodulation,[],[f1682,f2]) ).

fof(f1682,plain,
    ! [X0,X1] : mult(X0,mult(x0,X1)) = mult(x0,ld(x1,mult(x1,mult(ld(x0,mult(X0,x0)),X1)))),
    inference(forward_demodulation,[],[f1669,f2]) ).

fof(f1669,plain,
    ! [X0,X1] : mult(x0,ld(x1,mult(x1,mult(ld(x0,mult(X0,x0)),X1)))) = ld(rd(unit,x0),mult(rd(unit,x0),mult(X0,mult(x0,X1)))),
    inference(superposition,[],[f299,f646]) ).

fof(f646,plain,
    ! [X0,X1] : mult(rd(unit,x0),mult(X1,mult(x0,X0))) = mult(x0,mult(x1,mult(ld(x0,mult(X1,x0)),X0))),
    inference(backward_demodulation,[],[f610,f645]) ).

fof(f380,plain,
    ! [X2,X0,X1] : mult(mult(X2,mult(x0,mult(X0,x1))),mult(x0,X1)) = mult(mult(X2,mult(x0,X1)),ld(mult(x0,X1),mult(x0,mult(X0,X1)))),
    inference(superposition,[],[f8,f44]) ).

fof(f1808,plain,
    ! [X0,X1] : mult(X0,mult(X1,x1)) = mult(x1,mult(mult(mult(x0,X0),X1),x1)),
    inference(forward_demodulation,[],[f1785,f35]) ).

fof(f1785,plain,
    ! [X0,X1] : mult(x1,mult(mult(mult(x0,X0),X1),x1)) = mult(X0,mult(x1,mult(mult(x0,X1),x1))),
    inference(superposition,[],[f115,f34]) ).

fof(f19149,plain,
    ! [X0,X1] : mult(mult(ld(x0,mult(mult(mult(rd(x0,x1),X0),x0),x1)),X1),x1) = mult(mult(mult(mult(x0,x0),ld(x0,mult(mult(X0,x0),x1))),X1),x1),
    inference(forward_demodulation,[],[f19148,f5]) ).

fof(f19148,plain,
    ! [X0,X1] : mult(mult(ld(x0,mult(mult(mult(rd(x0,x1),X0),x0),x1)),X1),x1) = mult(mult(mult(mult(mult(x0,unit),x0),ld(x0,mult(mult(X0,x0),x1))),X1),x1),
    inference(forward_demodulation,[],[f19053,f10185]) ).

fof(f10185,plain,
    ! [X2,X0,X1] : mult(mult(ld(x1,X0),mult(X1,x1)),mult(mult(x0,X2),x1)) = mult(mult(mult(mult(mult(x0,X0),x0),ld(x0,X1)),X2),x1),
    inference(backward_demodulation,[],[f10064,f10183]) ).

fof(f10064,plain,
    ! [X2,X0,X1] : mult(mult(ld(x1,X0),mult(X1,x1)),mult(mult(x0,X2),x1)) = mult(mult(mult(mult(mult(x0,X0),x0),X2),ld(mult(x0,X2),mult(X1,X2))),x1),
    inference(superposition,[],[f2519,f134]) ).

fof(f19053,plain,
    ! [X0,X1] : mult(mult(ld(x1,unit),mult(mult(mult(X0,x0),x1),x1)),mult(mult(x0,X1),x1)) = mult(mult(ld(x0,mult(mult(mult(rd(x0,x1),X0),x0),x1)),X1),x1),
    inference(superposition,[],[f18661,f2142]) ).

fof(f4389,plain,
    ! [X0,X1] : ld(x0,rd(X0,x1)) = rd(mult(x1,mult(X0,mult(mult(x0,X1),x1))),mult(X1,x1)),
    inference(superposition,[],[f4,f982]) ).

fof(f68520,plain,
    ! [X0] : x1 = ld(rd(X0,mult(x1,sF2)),mult(X0,ld(sF2,unit))),
    inference(backward_demodulation,[],[f55814,f68035]) ).

fof(f55814,plain,
    ! [X0] : x1 = ld(rd(X0,mult(x1,sF2)),mult(X0,ld(mult(x0,sF2),x0))),
    inference(backward_demodulation,[],[f46421,f54910]) ).

fof(f46421,plain,
    ! [X0] : x1 = ld(rd(X0,ld(x0,sF2)),mult(X0,ld(mult(x0,sF2),x0))),
    inference(forward_demodulation,[],[f46420,f1]) ).

fof(f46420,plain,
    ! [X0] : x1 = ld(rd(mult(x0,ld(x0,X0)),ld(x0,sF2)),mult(X0,ld(mult(x0,sF2),x0))),
    inference(forward_demodulation,[],[f46419,f26757]) ).

fof(f26757,plain,
    ! [X0] : mult(ld(x0,mult(mult(x0,x0),X0)),x0) = rd(mult(x0,X0),ld(x0,sF2)),
    inference(forward_demodulation,[],[f26756,f18640]) ).

fof(f26756,plain,
    ! [X0] : mult(rd(mult(x0,mult(X0,x1)),x1),x0) = rd(mult(x0,X0),ld(x0,sF2)),
    inference(forward_demodulation,[],[f26755,f5]) ).

fof(f26755,plain,
    ! [X0] : mult(rd(mult(x0,mult(X0,x1)),x1),x0) = rd(mult(x0,mult(X0,unit)),ld(x0,sF2)),
    inference(forward_demodulation,[],[f26740,f457]) ).

fof(f457,plain,
    ! [X0] : unit = ld(X0,X0),
    inference(forward_demodulation,[],[f445,f440]) ).

fof(f445,plain,
    ! [X0] : ld(x0,x0) = ld(X0,X0),
    inference(superposition,[],[f2,f435]) ).

fof(f26740,plain,
    ! [X0] : mult(rd(mult(x0,mult(X0,x1)),x1),x0) = rd(mult(x0,mult(X0,ld(x0,x0))),ld(x0,sF2)),
    inference(superposition,[],[f26705,f379]) ).

fof(f46419,plain,
    ! [X0] : x1 = ld(mult(ld(x0,mult(mult(x0,x0),ld(x0,X0))),x0),mult(X0,ld(mult(x0,sF2),x0))),
    inference(forward_demodulation,[],[f46418,f39411]) ).

fof(f39411,plain,
    ld(mult(x0,sF2),x0) = ld(ld(x1,unit),ld(mult(sF2,x1),unit)),
    inference(forward_demodulation,[],[f39410,f5]) ).

fof(f39410,plain,
    ld(mult(x0,sF2),mult(x0,unit)) = ld(ld(x1,unit),ld(mult(sF2,x1),unit)),
    inference(forward_demodulation,[],[f39409,f24712]) ).

fof(f39409,plain,
    mult(rd(unit,x0),ld(x1,unit)) = ld(ld(x1,unit),ld(mult(sF2,x1),unit)),
    inference(forward_demodulation,[],[f39345,f29507]) ).

fof(f29507,plain,
    ! [X0] : ld(ld(x1,unit),ld(mult(X0,x1),unit)) = mult(mult(mult(ld(X0,x0),x1),x0),x1),
    inference(superposition,[],[f3466,f22708]) ).

fof(f22708,plain,
    ! [X0] : mult(ld(X0,x0),x1) = mult(x1,ld(mult(X0,x1),unit)),
    inference(superposition,[],[f35,f22083]) ).

fof(f22083,plain,
    ! [X0] : mult(mult(x0,ld(X0,x0)),x1) = ld(mult(X0,x1),unit),
    inference(superposition,[],[f2481,f19]) ).

fof(f39345,plain,
    mult(rd(unit,x0),ld(x1,unit)) = mult(mult(mult(ld(sF2,x0),x1),x0),x1),
    inference(superposition,[],[f20,f38450]) ).

fof(f38450,plain,
    rd(unit,x0) = mult(mult(ld(sF2,x0),x1),x1),
    inference(superposition,[],[f1,f35623]) ).

fof(f35623,plain,
    x1 = ld(mult(ld(sF2,x0),x1),rd(unit,x0)),
    inference(backward_demodulation,[],[f6845,f35618]) ).

fof(f46418,plain,
    ! [X0] : x1 = ld(mult(ld(x0,mult(mult(x0,x0),ld(x0,X0))),x0),mult(X0,ld(ld(x1,unit),ld(mult(sF2,x1),unit)))),
    inference(forward_demodulation,[],[f46417,f29507]) ).

fof(f46417,plain,
    ! [X0] : x1 = ld(mult(ld(x0,mult(mult(x0,x0),ld(x0,X0))),x0),mult(X0,mult(mult(mult(ld(sF2,x0),x1),x0),x1))),
    inference(forward_demodulation,[],[f46416,f35618]) ).

fof(f46416,plain,
    ! [X0] : x1 = ld(mult(ld(x0,mult(mult(x0,x0),ld(x0,X0))),x0),mult(X0,mult(mult(ld(x0,ld(x1,unit)),x0),x1))),
    inference(forward_demodulation,[],[f46415,f199]) ).

fof(f46415,plain,
    ! [X0] : x1 = ld(mult(ld(x0,mult(mult(x0,x0),ld(x0,X0))),x0),mult(X0,mult(mult(x1,mult(ld(x1,unit),x1)),ld(x1,unit)))),
    inference(forward_demodulation,[],[f46332,f6284]) ).

fof(f46332,plain,
    ! [X0] : x1 = ld(mult(ld(x0,mult(mult(x0,x0),ld(x0,X0))),x0),mult(mult(rd(X0,ld(x1,unit)),mult(ld(x1,unit),x1)),ld(x1,unit))),
    inference(superposition,[],[f18632,f4722]) ).

fof(f18632,plain,
    ! [X0,X1] : x1 = ld(mult(ld(x0,mult(mult(x0,X0),X1)),x0),mult(mult(X0,mult(X1,x1)),ld(x1,unit))),
    inference(backward_demodulation,[],[f2206,f18628]) ).

fof(f120120,plain,
    ! [X0] : rd(mult(sF2,X0),x0) = mult(sF2,rd(rd(X0,sF2),ld(x1,unit))),
    inference(backward_demodulation,[],[f68410,f120108]) ).

fof(f68410,plain,
    ! [X0] : rd(mult(sF2,X0),x0) = mult(sF2,rd(mult(X0,ld(sF2,unit)),ld(x1,unit))),
    inference(backward_demodulation,[],[f54199,f68035]) ).

fof(f54199,plain,
    ! [X0] : rd(mult(sF2,X0),x0) = mult(sF2,rd(mult(X0,ld(mult(x0,sF2),x0)),ld(x1,unit))),
    inference(backward_demodulation,[],[f35651,f54175]) ).

fof(f35651,plain,
    ! [X0] : rd(mult(sF2,X0),x0) = mult(sF2,rd(mult(X0,mult(ld(sF2,x0),x1)),ld(x1,unit))),
    inference(backward_demodulation,[],[f23010,f35618]) ).

fof(f23010,plain,
    ! [X0] : rd(mult(sF2,X0),x0) = mult(sF2,rd(mult(X0,ld(x0,ld(x1,unit))),ld(x1,unit))),
    inference(forward_demodulation,[],[f23009,f20901]) ).

fof(f23009,plain,
    ! [X0] : mult(x1,mult(x0,mult(X0,x1))) = mult(sF2,rd(mult(X0,ld(x0,ld(x1,unit))),ld(x1,unit))),
    inference(forward_demodulation,[],[f22958,f20262]) ).

fof(f20262,plain,
    ! [X0] : mult(mult(x1,mult(x0,X0)),x1) = mult(sF2,rd(X0,ld(x1,unit))),
    inference(forward_demodulation,[],[f20261,f1177]) ).

fof(f20261,plain,
    ! [X0] : mult(mult(x1,mult(x0,X0)),x1) = mult(sF2,mult(mult(x0,mult(x1,X0)),x1)),
    inference(forward_demodulation,[],[f20166,f35]) ).

fof(f20166,plain,
    ! [X0] : mult(sF2,mult(mult(x0,mult(x1,X0)),x1)) = mult(x1,mult(mult(x0,mult(x1,mult(x0,X0))),x1)),
    inference(superposition,[],[f1808,f3595]) ).

fof(f3595,plain,
    ! [X0] : mult(x0,mult(x1,mult(x0,X0))) = mult(mult(x0,sF2),mult(x0,mult(x1,X0))),
    inference(backward_demodulation,[],[f597,f3593]) ).

fof(f597,plain,
    ! [X0] : mult(rd(unit,rd(unit,x0)),mult(x0,mult(x1,X0))) = mult(x0,mult(x1,mult(x0,X0))),
    inference(forward_demodulation,[],[f596,f25]) ).

fof(f596,plain,
    ! [X0] : mult(rd(unit,rd(unit,x0)),mult(x0,mult(x1,X0))) = mult(x0,mult(ld(x0,unit),mult(x0,X0))),
    inference(forward_demodulation,[],[f579,f386]) ).

fof(f579,plain,
    ! [X0] : mult(rd(unit,x0),mult(x0,mult(x0,X0))) = mult(rd(unit,rd(unit,x0)),mult(x0,mult(x1,X0))),
    inference(superposition,[],[f73,f3]) ).

fof(f22958,plain,
    ! [X0] : mult(x1,mult(x0,mult(X0,x1))) = mult(mult(x1,mult(x0,mult(X0,ld(x0,ld(x1,unit))))),x1),
    inference(superposition,[],[f6056,f2648]) ).

fof(f2648,plain,
    ! [X0,X1] : mult(x0,mult(X0,x1)) = rd(mult(x0,mult(X0,ld(x0,X1))),X1),
    inference(superposition,[],[f4,f379]) ).

fof(f6056,plain,
    ! [X0] : mult(mult(x1,X0),x1) = mult(x1,rd(X0,ld(x1,unit))),
    inference(superposition,[],[f35,f1177]) ).

fof(f20956,plain,
    ! [X0] : mult(mult(x0,sF2),rd(X0,x0)) = mult(x0,rd(mult(sF2,X0),x0)),
    inference(backward_demodulation,[],[f3683,f20901]) ).

fof(f3683,plain,
    ! [X0] : mult(x0,mult(x1,mult(x0,mult(X0,x1)))) = mult(mult(x0,sF2),rd(X0,x0)),
    inference(superposition,[],[f3595,f110]) ).

fof(f24712,plain,
    ! [X0] : mult(rd(unit,x0),ld(x1,X0)) = ld(mult(x0,sF2),mult(x0,X0)),
    inference(superposition,[],[f3622,f1]) ).

fof(f3622,plain,
    ! [X0] : mult(rd(unit,x0),X0) = ld(mult(x0,sF2),mult(x0,mult(x1,X0))),
    inference(superposition,[],[f2,f3594]) ).

fof(f304498,plain,
    ! [X0,X1] : mult(x0,mult(x1,mult(mult(mult(X0,X1),x0),x1))) = mult(mult(X0,sF2),mult(rd(unit,x0),ld(x1,X1))),
    inference(forward_demodulation,[],[f304043,f70]) ).

fof(f304043,plain,
    ! [X0,X1] : mult(x0,mult(x1,mult(mult(mult(X0,X1),x0),x1))) = mult(mult(X0,sF2),mult(x0,mult(x1,ld(x0,ld(x1,X1))))),
    inference(superposition,[],[f165920,f301164]) ).

fof(f301164,plain,
    ! [X0,X1] : mult(mult(mult(X0,X1),x0),x1) = mult(mult(mult(X0,x1),x0),ld(x0,ld(x1,X1))),
    inference(forward_demodulation,[],[f301070,f2261]) ).

fof(f2261,plain,
    ! [X0,X1] : mult(mult(mult(X0,x0),x1),mult(mult(X1,x0),x1)) = mult(mult(mult(X0,X1),x0),x1),
    inference(superposition,[],[f326,f8]) ).

fof(f301070,plain,
    ! [X0,X1] : mult(mult(mult(X0,x0),x1),mult(mult(X1,x0),x1)) = mult(mult(mult(X0,x1),x0),ld(x0,ld(x1,X1))),
    inference(superposition,[],[f300229,f20]) ).

fof(f300229,plain,
    ! [X0,X1] : mult(mult(X1,ld(x1,unit)),mult(mult(X0,x0),x1)) = mult(mult(X1,x0),ld(x0,ld(x1,X0))),
    inference(backward_demodulation,[],[f2142,f300226]) ).

fof(f300226,plain,
    ! [X0,X1] : mult(mult(mult(rd(X0,x1),X1),x0),x1) = mult(mult(X0,x0),ld(x0,ld(x1,X1))),
    inference(forward_demodulation,[],[f300225,f1872]) ).

fof(f300225,plain,
    ! [X0,X1] : mult(mult(mult(rd(X0,x1),X1),x0),x1) = mult(mult(X0,rd(ld(x1,X1),x0)),x0),
    inference(forward_demodulation,[],[f300199,f8318]) ).

fof(f8318,plain,
    ! [X0] : rd(ld(x1,X0),x0) = mult(mult(x0,X0),rd(unit,x0)),
    inference(superposition,[],[f5730,f1]) ).

fof(f5730,plain,
    ! [X0] : rd(X0,x0) = mult(mult(x0,mult(x1,X0)),rd(unit,x0)),
    inference(forward_demodulation,[],[f5729,f110]) ).

fof(f5729,plain,
    ! [X0] : mult(x0,mult(x1,mult(X0,x1))) = mult(mult(x0,mult(x1,X0)),rd(unit,x0)),
    inference(forward_demodulation,[],[f5697,f25]) ).

fof(f5697,plain,
    ! [X0] : mult(x0,mult(x1,mult(X0,ld(x0,unit)))) = mult(mult(x0,mult(x1,X0)),rd(unit,x0)),
    inference(superposition,[],[f3665,f5]) ).

fof(f3665,plain,
    ! [X0,X1] : mult(x0,mult(x1,mult(X0,ld(x0,X1)))) = mult(mult(x0,mult(x1,X0)),mult(rd(unit,x0),X1)),
    inference(backward_demodulation,[],[f754,f3664]) ).

fof(f754,plain,
    ! [X0,X1] : mult(rd(rd(X0,x0),rd(unit,x0)),mult(rd(unit,x0),X1)) = mult(x0,mult(x1,mult(X0,ld(x0,X1)))),
    inference(forward_demodulation,[],[f753,f25]) ).

fof(f753,plain,
    ! [X0,X1] : mult(rd(rd(X0,x0),rd(unit,x0)),mult(rd(unit,x0),X1)) = mult(x0,mult(ld(x0,unit),mult(X0,ld(x0,X1)))),
    inference(forward_demodulation,[],[f752,f386]) ).

fof(f752,plain,
    ! [X0,X1] : mult(rd(rd(X0,x0),rd(unit,x0)),mult(rd(unit,x0),X1)) = mult(rd(unit,x0),mult(x0,mult(X0,ld(x0,X1)))),
    inference(forward_demodulation,[],[f725,f379]) ).

fof(f725,plain,
    ! [X0,X1] : mult(rd(unit,x0),mult(mult(x0,mult(X0,x1)),X1)) = mult(rd(rd(X0,x0),rd(unit,x0)),mult(rd(unit,x0),X1)),
    inference(superposition,[],[f74,f110]) ).

fof(f300199,plain,
    ! [X0,X1] : mult(mult(mult(rd(X0,x1),X1),x0),x1) = mult(mult(X0,mult(mult(x0,X1),rd(unit,x0))),x0),
    inference(backward_demodulation,[],[f2117,f300174]) ).

fof(f300174,plain,
    ! [X0,X1] : mult(mult(X0,mult(X1,x1)),ld(x1,unit)) = mult(mult(X0,mult(X1,rd(unit,x0))),x0),
    inference(forward_demodulation,[],[f300173,f77556]) ).

fof(f77556,plain,
    ! [X0,X1] : mult(mult(X0,mult(X1,rd(unit,x0))),x0) = mult(mult(X0,x0),ld(x0,mult(mult(X1,x0),x1))),
    inference(superposition,[],[f1870,f40]) ).

fof(f1870,plain,
    ! [X2,X0,X1] : mult(mult(X2,mult(X0,mult(x0,mult(X1,x1)))),x0) = mult(mult(X2,x0),ld(x0,mult(mult(X0,x0),X1))),
    inference(superposition,[],[f8,f142]) ).

fof(f300173,plain,
    ! [X0,X1] : mult(mult(X0,mult(X1,x1)),ld(x1,unit)) = mult(mult(X0,x0),ld(x0,mult(mult(X1,x0),x1))),
    inference(forward_demodulation,[],[f300172,f219612]) ).

fof(f219612,plain,
    ! [X2,X0,X1] : mult(mult(X0,mult(X2,x1)),mult(mult(x0,X1),x1)) = mult(mult(X0,X1),ld(X1,mult(mult(X2,X1),x1))),
    inference(forward_demodulation,[],[f219611,f22329]) ).

fof(f219611,plain,
    ! [X2,X0,X1] : mult(mult(X0,mult(X2,x1)),mult(mult(x0,X1),x1)) = mult(mult(X0,X1),mult(ld(mult(x0,X1),mult(x0,mult(X2,X1))),x1)),
    inference(forward_demodulation,[],[f219610,f18661]) ).

fof(f219610,plain,
    ! [X2,X0,X1] : mult(mult(X0,X1),mult(ld(mult(x0,X1),mult(x0,mult(X2,X1))),x1)) = mult(mult(ld(x0,mult(mult(x0,X0),X2)),X1),x1),
    inference(forward_demodulation,[],[f218258,f35]) ).

fof(f218258,plain,
    ! [X2,X0,X1] : mult(mult(X0,X1),mult(ld(mult(x0,X1),mult(x0,mult(X2,X1))),x1)) = mult(x1,mult(mult(x0,mult(ld(x0,mult(mult(x0,X0),X2)),X1)),x1)),
    inference(superposition,[],[f1808,f17747]) ).

fof(f17747,plain,
    ! [X2,X0,X1] : mult(mult(x0,mult(X0,X1)),ld(mult(x0,X1),mult(x0,mult(X2,X1)))) = mult(x0,mult(ld(x0,mult(mult(x0,X0),X2)),X1)),
    inference(forward_demodulation,[],[f17746,f2]) ).

fof(f17746,plain,
    ! [X2,X0,X1] : mult(mult(x0,mult(X0,ld(x0,mult(x0,X1)))),ld(mult(x0,X1),mult(x0,mult(X2,X1)))) = mult(x0,mult(ld(x0,mult(mult(x0,X0),X2)),X1)),
    inference(forward_demodulation,[],[f17745,f5]) ).

fof(f17745,plain,
    ! [X2,X0,X1] : mult(mult(x0,mult(X0,ld(x0,mult(x0,X1)))),ld(mult(x0,X1),mult(x0,mult(X2,X1)))) = mult(x0,mult(ld(x0,mult(mult(x0,mult(X0,unit)),X2)),X1)),
    inference(forward_demodulation,[],[f17744,f457]) ).

fof(f17744,plain,
    ! [X2,X0,X1] : mult(mult(x0,mult(X0,ld(x0,mult(x0,X1)))),ld(mult(x0,X1),mult(x0,mult(X2,X1)))) = mult(x0,mult(ld(x0,mult(mult(x0,mult(X0,ld(x0,x0))),X2)),X1)),
    inference(forward_demodulation,[],[f17626,f379]) ).

fof(f17626,plain,
    ! [X2,X0,X1] : mult(mult(x0,mult(X0,ld(x0,mult(x0,X1)))),ld(mult(x0,X1),mult(x0,mult(X2,X1)))) = mult(x0,mult(ld(x0,mult(mult(mult(x0,mult(X0,x1)),x0),X2)),X1)),
    inference(superposition,[],[f17447,f379]) ).

fof(f300172,plain,
    ! [X0,X1] : mult(mult(X0,mult(X1,x1)),ld(x1,unit)) = mult(mult(X0,mult(X1,x1)),mult(mult(x0,x0),x1)),
    inference(forward_demodulation,[],[f300171,f18661]) ).

fof(f300171,plain,
    ! [X0,X1] : mult(mult(X0,mult(X1,x1)),ld(x1,unit)) = mult(mult(ld(x0,mult(mult(x0,X0),X1)),x0),x1),
    inference(forward_demodulation,[],[f300170,f3]) ).

fof(f300170,plain,
    ! [X0,X1] : mult(mult(ld(x0,mult(mult(x0,X0),X1)),x0),x1) = mult(mult(rd(mult(X0,mult(X1,x1)),ld(x1,unit)),ld(x1,unit)),ld(x1,unit)),
    inference(forward_demodulation,[],[f300169,f32]) ).

fof(f300169,plain,
    ! [X0,X1] : mult(mult(ld(x0,mult(mult(x0,X0),X1)),x0),x1) = mult(mult(rd(mult(X0,mult(X1,x1)),mult(mult(x0,x0),x1)),ld(x1,unit)),ld(x1,unit)),
    inference(forward_demodulation,[],[f300168,f101417]) ).

fof(f101417,plain,
    ! [X0,X1] : rd(mult(X1,ld(x1,unit)),mult(mult(X0,x0),x1)) = mult(rd(X1,mult(mult(x0,X0),x1)),ld(x1,unit)),
    inference(superposition,[],[f6392,f2]) ).

fof(f6392,plain,
    ! [X0,X1] : mult(rd(X0,mult(X1,x1)),ld(x1,unit)) = rd(mult(X0,ld(x1,unit)),mult(mult(ld(x0,X1),x0),x1)),
    inference(superposition,[],[f490,f3]) ).

fof(f490,plain,
    ! [X0,X1] : mult(X0,ld(x1,unit)) = rd(mult(mult(X0,mult(X1,x1)),ld(x1,unit)),mult(mult(ld(x0,X1),x0),x1)),
    inference(forward_demodulation,[],[f472,f475]) ).

fof(f472,plain,
    ! [X0,X1] : mult(X0,ld(x1,unit)) = rd(mult(mult(X0,mult(X1,x1)),ld(x1,unit)),ld(ld(x1,unit),mult(mult(X1,x0),x1))),
    inference(superposition,[],[f4,f53]) ).

fof(f300168,plain,
    ! [X0,X1] : mult(mult(ld(x0,mult(mult(x0,X0),X1)),x0),x1) = mult(rd(mult(mult(X0,mult(X1,x1)),ld(x1,unit)),mult(mult(x0,x0),x1)),ld(x1,unit)),
    inference(forward_demodulation,[],[f300167,f101417]) ).

fof(f300167,plain,
    ! [X0,X1] : mult(mult(ld(x0,mult(mult(x0,X0),X1)),x0),x1) = rd(mult(mult(mult(X0,mult(X1,x1)),ld(x1,unit)),ld(x1,unit)),mult(mult(x0,x0),x1)),
    inference(forward_demodulation,[],[f297914,f26]) ).

fof(f297914,plain,
    ! [X0,X1] : mult(mult(ld(x0,mult(mult(x0,X0),X1)),x0),x1) = rd(mult(mult(mult(X0,mult(X1,x1)),ld(x1,unit)),ld(x1,unit)),ld(x1,mult(x0,x1))),
    inference(superposition,[],[f37379,f18630]) ).

fof(f18630,plain,
    ! [X0,X1] : mult(mult(mult(X0,mult(X1,x1)),ld(x1,unit)),ld(x1,unit)) = mult(mult(mult(ld(x0,mult(mult(x0,X0),X1)),x0),x0),x1),
    inference(backward_demodulation,[],[f2199,f18628]) ).

fof(f2199,plain,
    ! [X0,X1] : mult(mult(mult(mult(rd(X0,x1),ld(x0,X1)),x0),x0),x1) = mult(mult(mult(X0,mult(X1,x1)),ld(x1,unit)),ld(x1,unit)),
    inference(superposition,[],[f20,f2144]) ).

fof(f37379,plain,
    ! [X2,X0,X1] : mult(X0,X2) = rd(mult(mult(X0,X1),X2),ld(X2,mult(X1,X2))),
    inference(forward_demodulation,[],[f36681,f4]) ).

fof(f36681,plain,
    ! [X2,X0,X1] : rd(mult(mult(X0,X1),X2),ld(X2,mult(X1,X2))) = rd(mult(mult(X0,X2),x1),x1),
    inference(superposition,[],[f4,f2393]) ).

fof(f2393,plain,
    ! [X2,X0,X1] : mult(mult(X0,X1),x1) = mult(rd(mult(mult(X0,X2),X1),ld(X1,mult(X2,X1))),x1),
    inference(backward_demodulation,[],[f2300,f2314]) ).

fof(f2300,plain,
    ! [X2,X0,X1] : mult(mult(X0,X1),x1) = rd(mult(mult(mult(X0,X2),X1),x1),mult(mult(x0,ld(X1,mult(X2,X1))),x1)),
    inference(superposition,[],[f332,f8]) ).

fof(f165920,plain,
    ! [X0,X1] : mult(x0,mult(x1,mult(mult(mult(X0,x1),x0),X1))) = mult(mult(X0,sF2),mult(x0,mult(x1,X1))),
    inference(superposition,[],[f164062,f4]) ).

fof(f164062,plain,
    ! [X0,X1] : mult(x0,mult(x1,mult(mult(X0,x0),X1))) = mult(mult(rd(X0,x1),sF2),mult(x0,mult(x1,X1))),
    inference(backward_demodulation,[],[f16381,f164033]) ).

fof(f164033,plain,
    ! [X0] : rd(X0,rd(unit,x0)) = mult(rd(X0,x1),sF2),
    inference(forward_demodulation,[],[f164032,f4]) ).

fof(f164032,plain,
    ! [X0] : rd(rd(mult(X0,x1),x1),rd(unit,x0)) = mult(rd(X0,x1),sF2),
    inference(forward_demodulation,[],[f164031,f3649]) ).

fof(f3649,plain,
    ! [X0] : rd(X0,rd(unit,x0)) = mult(x0,mult(x1,mult(X0,x0))),
    inference(forward_demodulation,[],[f3648,f4]) ).

fof(f3648,plain,
    ! [X0] : rd(X0,rd(unit,x0)) = mult(x0,mult(x1,rd(mult(mult(X0,x0),x1),x1))),
    inference(forward_demodulation,[],[f3635,f1]) ).

fof(f3635,plain,
    ! [X0] : mult(x0,mult(x1,rd(mult(mult(X0,x0),x1),x1))) = rd(mult(x0,ld(x0,X0)),rd(unit,x0)),
    inference(superposition,[],[f1459,f893]) ).

fof(f164031,plain,
    ! [X0] : mult(x0,mult(x1,mult(rd(mult(X0,x1),x1),x0))) = mult(rd(X0,x1),sF2),
    inference(forward_demodulation,[],[f164030,f1429]) ).

fof(f1429,plain,
    ! [X0,X1] : mult(rd(unit,x0),mult(mult(x0,X0),mult(x0,X1))) = mult(x0,mult(x1,mult(rd(X0,x1),X1))),
    inference(superposition,[],[f646,f776]) ).

fof(f164030,plain,
    ! [X0] : mult(rd(unit,x0),mult(mult(x0,mult(X0,x1)),mult(x0,x0))) = mult(rd(X0,x1),sF2),
    inference(forward_demodulation,[],[f164029,f5]) ).

fof(f164029,plain,
    ! [X0] : mult(rd(unit,x0),mult(mult(x0,mult(X0,x1)),mult(x0,x0))) = mult(rd(mult(X0,unit),x1),sF2),
    inference(forward_demodulation,[],[f164028,f457]) ).

fof(f164028,plain,
    ! [X0] : mult(rd(unit,x0),mult(mult(x0,mult(X0,x1)),mult(x0,x0))) = mult(rd(mult(X0,ld(x0,x0)),x1),sF2),
    inference(forward_demodulation,[],[f163958,f776]) ).

fof(f163958,plain,
    ! [X0] : mult(rd(unit,x0),mult(mult(x0,mult(X0,x1)),mult(x0,x0))) = mult(ld(x0,mult(mult(x0,mult(X0,ld(x0,x0))),x0)),sF2),
    inference(superposition,[],[f163880,f379]) ).

fof(f163880,plain,
    ! [X0] : mult(rd(unit,x0),mult(X0,mult(x0,x0))) = mult(ld(x0,mult(mult(X0,x0),x0)),sF2),
    inference(backward_demodulation,[],[f5017,f163859]) ).

fof(f163859,plain,
    ! [X0] : mult(ld(x0,mult(X0,x0)),sF2) = rd(ld(x0,X0),rd(unit,x0)),
    inference(forward_demodulation,[],[f163840,f712]) ).

fof(f712,plain,
    ! [X0,X1] : ld(x0,mult(X0,mult(x0,X1))) = mult(ld(x0,mult(X0,x0)),X1),
    inference(forward_demodulation,[],[f711,f2]) ).

fof(f711,plain,
    ! [X0,X1] : ld(x0,mult(X0,mult(x0,X1))) = ld(x1,mult(x1,mult(ld(x0,mult(X0,x0)),X1))),
    inference(forward_demodulation,[],[f691,f277]) ).

fof(f277,plain,
    ! [X0] : ld(x0,X0) = mult(mult(mult(rd(unit,x0),X0),x0),x1),
    inference(forward_demodulation,[],[f268,f2]) ).

fof(f268,plain,
    ! [X0] : ld(x1,mult(x1,ld(x0,X0))) = mult(mult(mult(rd(unit,x0),X0),x0),x1),
    inference(superposition,[],[f130,f70]) ).

fof(f691,plain,
    ! [X0,X1] : ld(x1,mult(x1,mult(ld(x0,mult(X0,x0)),X1))) = mult(mult(mult(rd(unit,x0),mult(X0,mult(x0,X1))),x0),x1),
    inference(superposition,[],[f130,f646]) ).

fof(f163840,plain,
    ! [X0] : ld(x0,mult(X0,mult(x0,sF2))) = rd(ld(x0,X0),rd(unit,x0)),
    inference(backward_demodulation,[],[f55321,f163592]) ).

fof(f163592,plain,
    ! [X0] : ld(x0,X0) = mult(sF2,ld(mult(x0,sF2),X0)),
    inference(superposition,[],[f2,f146466]) ).

fof(f146466,plain,
    ! [X0] : mult(x0,mult(sF2,ld(mult(x0,sF2),X0))) = X0,
    inference(superposition,[],[f142414,f1]) ).

fof(f55321,plain,
    ! [X0] : rd(ld(x0,X0),rd(unit,x0)) = mult(sF2,ld(mult(x0,sF2),mult(X0,mult(x0,sF2)))),
    inference(forward_demodulation,[],[f54874,f5012]) ).

fof(f5012,plain,
    ! [X0] : rd(X0,rd(unit,x0)) = mult(mult(x0,mult(x1,X0)),mult(x0,sF2)),
    inference(forward_demodulation,[],[f5011,f4]) ).

fof(f5011,plain,
    ! [X0] : mult(mult(x0,mult(x1,X0)),mult(x0,sF2)) = rd(rd(mult(X0,x1),x1),rd(unit,x0)),
    inference(forward_demodulation,[],[f5010,f3649]) ).

fof(f5010,plain,
    ! [X0] : mult(mult(x0,mult(x1,X0)),mult(x0,sF2)) = mult(x0,mult(x1,mult(rd(mult(X0,x1),x1),x0))),
    inference(forward_demodulation,[],[f5009,f1429]) ).

fof(f5009,plain,
    ! [X0] : mult(rd(unit,x0),mult(mult(x0,mult(X0,x1)),mult(x0,x0))) = mult(mult(x0,mult(x1,X0)),mult(x0,sF2)),
    inference(forward_demodulation,[],[f5008,f25]) ).

fof(f5008,plain,
    ! [X0] : mult(rd(unit,x0),mult(mult(x0,mult(X0,x1)),mult(x0,x0))) = mult(mult(x0,mult(ld(x0,unit),X0)),mult(x0,sF2)),
    inference(forward_demodulation,[],[f5007,f5]) ).

fof(f5007,plain,
    ! [X0] : mult(rd(unit,x0),mult(mult(x0,mult(X0,x1)),mult(x0,x0))) = mult(mult(x0,mult(ld(x0,unit),mult(X0,unit))),mult(x0,sF2)),
    inference(forward_demodulation,[],[f5006,f457]) ).

fof(f5006,plain,
    ! [X0] : mult(rd(unit,x0),mult(mult(x0,mult(X0,x1)),mult(x0,x0))) = mult(mult(x0,mult(ld(x0,unit),mult(X0,ld(x0,x0)))),mult(x0,sF2)),
    inference(forward_demodulation,[],[f4973,f386]) ).

fof(f4973,plain,
    ! [X0] : mult(rd(unit,x0),mult(mult(x0,mult(X0,x1)),mult(x0,x0))) = mult(mult(rd(unit,x0),mult(x0,mult(X0,ld(x0,x0)))),mult(x0,sF2)),
    inference(superposition,[],[f609,f379]) ).

fof(f609,plain,
    ! [X0] : mult(rd(unit,x0),mult(X0,mult(x0,x0))) = mult(mult(rd(unit,x0),mult(X0,x0)),mult(x0,sF2)),
    inference(backward_demodulation,[],[f583,f607]) ).

fof(f583,plain,
    ! [X0] : mult(rd(unit,x0),mult(X0,mult(x0,x0))) = mult(rd(mult(rd(unit,x0),X0),rd(unit,x0)),mult(x0,sF2)),
    inference(superposition,[],[f73,f14]) ).

fof(f54874,plain,
    ! [X0] : mult(mult(x0,mult(x1,ld(x0,X0))),mult(x0,sF2)) = mult(sF2,ld(mult(x0,sF2),mult(X0,mult(x0,sF2)))),
    inference(superposition,[],[f406,f54837]) ).

fof(f406,plain,
    ! [X2,X0,X1] : mult(mult(x0,mult(X0,X1)),ld(mult(x0,X1),mult(X2,mult(x0,X1)))) = mult(mult(x0,mult(X0,ld(x0,X2))),mult(x0,X1)),
    inference(forward_demodulation,[],[f381,f379]) ).

fof(f381,plain,
    ! [X2,X0,X1] : mult(mult(mult(x0,mult(X0,x1)),X2),mult(x0,X1)) = mult(mult(x0,mult(X0,X1)),ld(mult(x0,X1),mult(X2,mult(x0,X1)))),
    inference(superposition,[],[f8,f44]) ).

fof(f5017,plain,
    ! [X0] : mult(rd(unit,x0),mult(X0,mult(x0,x0))) = rd(ld(x0,mult(X0,x0)),rd(unit,x0)),
    inference(backward_demodulation,[],[f609,f5016]) ).

fof(f5016,plain,
    ! [X0] : mult(mult(rd(unit,x0),X0),mult(x0,sF2)) = rd(ld(x0,X0),rd(unit,x0)),
    inference(forward_demodulation,[],[f5015,f3649]) ).

fof(f5015,plain,
    ! [X0] : mult(mult(rd(unit,x0),X0),mult(x0,sF2)) = mult(x0,mult(x1,mult(ld(x0,X0),x0))),
    inference(forward_demodulation,[],[f5014,f25]) ).

fof(f5014,plain,
    ! [X0] : mult(mult(rd(unit,x0),X0),mult(x0,sF2)) = mult(x0,mult(ld(x0,unit),mult(ld(x0,X0),x0))),
    inference(forward_demodulation,[],[f5013,f386]) ).

fof(f5013,plain,
    ! [X0] : mult(mult(rd(unit,x0),X0),mult(x0,sF2)) = mult(rd(unit,x0),mult(x0,mult(ld(x0,X0),x0))),
    inference(forward_demodulation,[],[f4974,f386]) ).

fof(f4974,plain,
    ! [X0] : mult(rd(unit,x0),mult(rd(X0,x0),mult(x0,x0))) = mult(mult(rd(unit,x0),X0),mult(x0,sF2)),
    inference(superposition,[],[f609,f3]) ).

fof(f16381,plain,
    ! [X0,X1] : mult(rd(X0,rd(unit,x0)),mult(x0,mult(x1,X1))) = mult(x0,mult(x1,mult(mult(X0,x0),X1))),
    inference(backward_demodulation,[],[f581,f16349]) ).

fof(f16349,plain,
    ! [X0,X1] : mult(rd(unit,x0),mult(ld(rd(unit,x0),X0),mult(x0,X1))) = mult(x0,mult(x1,mult(mult(X0,x0),X1))),
    inference(superposition,[],[f646,f6361]) ).

fof(f6361,plain,
    ! [X0] : mult(X0,x0) = ld(x0,mult(ld(rd(unit,x0),X0),x0)),
    inference(forward_demodulation,[],[f6333,f4]) ).

fof(f6333,plain,
    ! [X0] : rd(mult(mult(X0,x0),x1),x1) = ld(x0,mult(ld(rd(unit,x0),X0),x0)),
    inference(superposition,[],[f1427,f1477]) ).

fof(f1477,plain,
    ! [X0] : mult(mult(X0,x0),x1) = ld(x0,ld(rd(unit,x0),X0)),
    inference(superposition,[],[f277,f1]) ).

fof(f1427,plain,
    ! [X0] : ld(x0,mult(X0,x0)) = rd(ld(x0,X0),x1),
    inference(superposition,[],[f776,f1]) ).

fof(f581,plain,
    ! [X0,X1] : mult(rd(unit,x0),mult(ld(rd(unit,x0),X0),mult(x0,X1))) = mult(rd(X0,rd(unit,x0)),mult(x0,mult(x1,X1))),
    inference(superposition,[],[f73,f1]) ).

fof(f169206,plain,
    ! [X0,X1] : mult(rd(X0,sF2),mult(sF2,X1)) = mult(sF2,mult(ld(sF2,X0),X1)),
    inference(forward_demodulation,[],[f169160,f169158]) ).

fof(f169158,plain,
    ! [X0] : ld(sF2,X0) = mult(x1,ld(mult(sF2,x1),X0)),
    inference(superposition,[],[f2,f148715]) ).

fof(f148715,plain,
    ! [X0] : mult(sF2,mult(x1,ld(mult(sF2,x1),X0))) = X0,
    inference(superposition,[],[f145979,f1]) ).

fof(f145979,plain,
    ! [X0] : mult(mult(sF2,x1),X0) = mult(sF2,mult(x1,X0)),
    inference(forward_demodulation,[],[f145228,f2]) ).

fof(f145228,plain,
    ! [X0] : mult(mult(sF2,x1),X0) = mult(sF2,ld(x0,mult(x0,mult(x1,X0)))),
    inference(backward_demodulation,[],[f30552,f144630]) ).

fof(f144630,plain,
    ! [X0] : ld(ld(x1,unit),X0) = mult(sF2,ld(x0,X0)),
    inference(backward_demodulation,[],[f3466,f144629]) ).

fof(f144629,plain,
    ! [X0] : mult(mult(mult(x1,X0),x0),x1) = mult(sF2,ld(x0,X0)),
    inference(forward_demodulation,[],[f144628,f2]) ).

fof(f144628,plain,
    ! [X0] : mult(mult(mult(x1,X0),x0),x1) = ld(x0,mult(x0,mult(sF2,ld(x0,X0)))),
    inference(forward_demodulation,[],[f144627,f379]) ).

fof(f144627,plain,
    ! [X0] : mult(mult(mult(x1,X0),x0),x1) = ld(x0,mult(mult(x0,mult(sF2,x1)),X0)),
    inference(forward_demodulation,[],[f144473,f142414]) ).

fof(f144473,plain,
    ! [X0] : mult(mult(mult(x1,X0),x0),x1) = ld(x0,mult(mult(mult(x0,sF2),x1),X0)),
    inference(superposition,[],[f142614,f1792]) ).

fof(f1792,plain,
    ! [X0,X1] : mult(mult(mult(x0,X0),x1),X1) = ld(x1,mult(X0,mult(x1,X1))),
    inference(superposition,[],[f2,f115]) ).

fof(f142614,plain,
    ! [X0] : mult(mult(X0,x0),x1) = ld(x0,ld(x1,mult(sF2,X0))),
    inference(backward_demodulation,[],[f1477,f142613]) ).

fof(f142613,plain,
    ! [X0] : ld(rd(unit,x0),X0) = ld(x1,mult(sF2,X0)),
    inference(forward_demodulation,[],[f142452,f130]) ).

fof(f142452,plain,
    ! [X0] : ld(rd(unit,x0),X0) = mult(mult(mult(x0,mult(sF2,X0)),x0),x1),
    inference(backward_demodulation,[],[f34803,f142414]) ).

fof(f34803,plain,
    ! [X0] : ld(rd(unit,x0),X0) = mult(mult(mult(mult(x0,sF2),X0),x0),x1),
    inference(forward_demodulation,[],[f34802,f1690]) ).

fof(f34802,plain,
    ! [X0] : mult(x0,mult(mult(X0,x0),x1)) = mult(mult(mult(mult(x0,sF2),X0),x0),x1),
    inference(forward_demodulation,[],[f34737,f3]) ).

fof(f34737,plain,
    ! [X0] : mult(mult(mult(mult(x0,sF2),X0),x0),x1) = mult(mult(rd(x0,x1),x1),mult(mult(X0,x0),x1)),
    inference(superposition,[],[f2261,f819]) ).

fof(f819,plain,
    mult(mult(x0,sF2),x0) = rd(x0,x1),
    inference(superposition,[],[f134,f362]) ).

fof(f362,plain,
    x0 = ld(x1,sF2),
    inference(forward_demodulation,[],[f353,f2]) ).

fof(f353,plain,
    ld(x1,sF2) = ld(x0,mult(x0,x0)),
    inference(superposition,[],[f2,f308]) ).

fof(f308,plain,
    mult(x0,x0) = mult(x0,ld(x1,sF2)),
    inference(backward_demodulation,[],[f296,f299]) ).

fof(f296,plain,
    mult(x0,x0) = ld(rd(unit,x0),mult(x0,sF2)),
    inference(superposition,[],[f76,f14]) ).

fof(f30552,plain,
    ! [X0] : mult(mult(sF2,x1),X0) = ld(ld(x1,unit),mult(x0,mult(x1,X0))),
    inference(forward_demodulation,[],[f30534,f1782]) ).

fof(f30534,plain,
    ! [X0] : mult(mult(sF2,x1),X0) = ld(ld(x1,unit),mult(x1,mult(ld(x1,unit),X0))),
    inference(superposition,[],[f6164,f2]) ).

fof(f6164,plain,
    ! [X0] : mult(mult(sF2,x1),ld(ld(x1,unit),X0)) = ld(ld(x1,unit),mult(x1,X0)),
    inference(forward_demodulation,[],[f6130,f3466]) ).

fof(f6130,plain,
    ! [X0] : mult(mult(mult(x1,mult(x1,X0)),x0),x1) = mult(mult(sF2,x1),ld(ld(x1,unit),X0)),
    inference(superposition,[],[f6103,f14]) ).

fof(f169160,plain,
    ! [X0,X1] : mult(sF2,mult(mult(x1,ld(mult(sF2,x1),X0)),X1)) = mult(rd(X0,sF2),mult(sF2,X1)),
    inference(superposition,[],[f7,f148715]) ).

fof(f306701,plain,
    ! [X0,X1] : mult(X1,mult(sF2,mult(ld(sF2,X0),sF2))) = mult(mult(X1,X0),sF2),
    inference(backward_demodulation,[],[f198852,f305680]) ).

fof(f305680,plain,
    ! [X0,X1] : mult(X1,mult(sF2,X0)) = mult(mult(X1,sF2),X0),
    inference(superposition,[],[f304501,f2]) ).

fof(f198852,plain,
    ! [X0,X1] : mult(mult(X1,sF2),mult(ld(sF2,X0),sF2)) = mult(mult(X1,X0),sF2),
    inference(superposition,[],[f8,f172543]) ).

fof(f172543,plain,
    ! [X0] : ld(sF2,mult(X0,sF2)) = mult(ld(sF2,X0),sF2),
    inference(superposition,[],[f151557,f4]) ).

fof(f151557,plain,
    ! [X0] : ld(sF2,X0) = mult(ld(sF2,rd(X0,sF2)),sF2),
    inference(superposition,[],[f3,f150793]) ).

fof(f150793,plain,
    ! [X0] : ld(sF2,rd(X0,sF2)) = rd(ld(sF2,X0),sF2),
    inference(forward_demodulation,[],[f150742,f150727]) ).

fof(f150727,plain,
    ! [X0] : ld(sF2,X0) = mult(ld(sF2,x0),ld(x0,X0)),
    inference(forward_demodulation,[],[f150255,f2]) ).

fof(f150255,plain,
    ! [X0] : mult(ld(sF2,x0),ld(x0,X0)) = ld(x0,mult(x0,ld(sF2,X0))),
    inference(backward_demodulation,[],[f39830,f150207]) ).

fof(f150207,plain,
    ! [X0] : mult(ld(x1,unit),X0) = mult(x0,ld(sF2,X0)),
    inference(forward_demodulation,[],[f150206,f3]) ).

fof(f150206,plain,
    ! [X0] : mult(ld(x1,unit),X0) = mult(x0,ld(sF2,mult(rd(X0,sF2),sF2))),
    inference(forward_demodulation,[],[f150174,f57571]) ).

fof(f57571,plain,
    ! [X0] : mult(x0,ld(sF2,mult(X0,sF2))) = mult(mult(ld(x1,unit),X0),sF2),
    inference(superposition,[],[f8,f56285]) ).

fof(f56285,plain,
    x0 = mult(ld(x1,unit),sF2),
    inference(superposition,[],[f3,f54414]) ).

fof(f54414,plain,
    ld(x1,unit) = rd(x0,sF2),
    inference(forward_demodulation,[],[f54413,f3]) ).

fof(f54413,plain,
    ld(x1,unit) = mult(rd(rd(x0,sF2),x1),x1),
    inference(forward_demodulation,[],[f54412,f25]) ).

fof(f54412,plain,
    ld(x1,unit) = mult(rd(rd(x0,sF2),ld(x0,unit)),x1),
    inference(forward_demodulation,[],[f54411,f5]) ).

fof(f54411,plain,
    ld(x1,unit) = mult(rd(rd(x0,sF2),mult(ld(x0,unit),unit)),x1),
    inference(forward_demodulation,[],[f54410,f457]) ).

fof(f54410,plain,
    ld(x1,unit) = mult(rd(rd(x0,sF2),mult(ld(x0,unit),ld(x0,x0))),x1),
    inference(forward_demodulation,[],[f54353,f23134]) ).

fof(f23134,plain,
    ! [X0,X1] : mult(ld(x0,X0),ld(x0,X1)) = ld(x0,mult(rd(X0,x0),X1)),
    inference(superposition,[],[f2,f2662]) ).

fof(f54353,plain,
    ld(x1,unit) = mult(rd(rd(x0,sF2),ld(x0,mult(rd(unit,x0),x0))),x1),
    inference(backward_demodulation,[],[f31485,f54345]) ).

fof(f31485,plain,
    ld(x1,unit) = mult(rd(rd(x0,sF2),ld(x0,mult(ld(sF2,x1),x0))),x1),
    inference(forward_demodulation,[],[f31445,f21732]) ).

fof(f31445,plain,
    ld(x1,unit) = rd(mult(rd(x0,sF2),x1),mult(mult(ld(sF2,x1),x0),x1)),
    inference(superposition,[],[f7884,f31037]) ).

fof(f31037,plain,
    mult(rd(x0,sF2),x1) = ld(x1,ld(sF2,x1)),
    inference(forward_demodulation,[],[f30984,f28341]) ).

fof(f28341,plain,
    ! [X0] : ld(x1,ld(X0,x1)) = ld(mult(mult(x0,X0),x1),unit),
    inference(forward_demodulation,[],[f28274,f22083]) ).

fof(f28274,plain,
    ! [X0] : ld(x1,ld(X0,x1)) = mult(mult(x0,ld(mult(x0,X0),x0)),x1),
    inference(superposition,[],[f26,f27811]) ).

fof(f30984,plain,
    ld(mult(mult(x0,sF2),x1),unit) = mult(rd(x0,sF2),x1),
    inference(superposition,[],[f22083,f30979]) ).

fof(f7884,plain,
    ! [X0] : ld(x1,unit) = rd(ld(x1,X0),mult(mult(X0,x0),x1)),
    inference(superposition,[],[f3977,f3487]) ).

fof(f3487,plain,
    ! [X0] : mult(mult(X0,x0),x1) = ld(ld(x1,unit),ld(x1,X0)),
    inference(forward_demodulation,[],[f3459,f2]) ).

fof(f3459,plain,
    ! [X0] : ld(ld(x1,unit),ld(x1,X0)) = mult(mult(ld(x0,mult(x0,X0)),x0),x1),
    inference(superposition,[],[f475,f130]) ).

fof(f150174,plain,
    ! [X0] : mult(ld(x1,unit),X0) = mult(mult(ld(x1,unit),rd(X0,sF2)),sF2),
    inference(superposition,[],[f3,f142257]) ).

fof(f142257,plain,
    ! [X0] : mult(ld(x1,unit),rd(X0,sF2)) = rd(mult(ld(x1,unit),X0),sF2),
    inference(backward_demodulation,[],[f120481,f142256]) ).

fof(f142256,plain,
    ! [X0] : ld(x1,rd(rd(X0,x0),x1)) = mult(ld(x1,unit),rd(X0,sF2)),
    inference(forward_demodulation,[],[f141602,f55645]) ).

fof(f141602,plain,
    ! [X0] : mult(ld(x1,unit),rd(X0,sF2)) = ld(x1,rd(rd(X0,mult(x1,sF2)),x0)),
    inference(superposition,[],[f18283,f122631]) ).

fof(f18283,plain,
    ! [X0] : mult(ld(x1,unit),mult(X0,x1)) = ld(x1,rd(X0,x0)),
    inference(forward_demodulation,[],[f18229,f32]) ).

fof(f18229,plain,
    ! [X0] : mult(mult(mult(x0,x0),x1),mult(X0,x1)) = ld(x1,rd(X0,x0)),
    inference(superposition,[],[f1792,f110]) ).

fof(f120481,plain,
    ! [X0] : ld(x1,rd(rd(X0,x0),x1)) = rd(mult(ld(x1,unit),X0),sF2),
    inference(backward_demodulation,[],[f68331,f120108]) ).

fof(f68331,plain,
    ! [X0] : ld(x1,rd(rd(X0,x0),x1)) = mult(mult(ld(x1,unit),X0),ld(sF2,unit)),
    inference(backward_demodulation,[],[f24791,f68035]) ).

fof(f24791,plain,
    ! [X0] : ld(x1,rd(rd(X0,x0),x1)) = mult(mult(ld(x1,unit),X0),ld(mult(x0,sF2),x0)),
    inference(forward_demodulation,[],[f24767,f5]) ).

fof(f24767,plain,
    ! [X0] : ld(x1,rd(rd(X0,x0),x1)) = mult(mult(ld(x1,unit),X0),ld(mult(x0,sF2),mult(x0,unit))),
    inference(backward_demodulation,[],[f18290,f24712]) ).

fof(f18290,plain,
    ! [X0] : mult(mult(ld(x1,unit),X0),mult(rd(unit,x0),ld(x1,unit))) = ld(x1,rd(rd(X0,x0),x1)),
    inference(forward_demodulation,[],[f18285,f783]) ).

fof(f783,plain,
    ! [X0] : mult(ld(x1,X0),ld(x1,unit)) = ld(x1,rd(X0,x1)),
    inference(backward_demodulation,[],[f131,f772]) ).

fof(f772,plain,
    ! [X0] : mult(mult(mult(mult(x0,X0),x0),x0),x1) = ld(x1,rd(X0,x1)),
    inference(superposition,[],[f130,f119]) ).

fof(f131,plain,
    ! [X0] : mult(ld(x1,X0),ld(x1,unit)) = mult(mult(mult(mult(x0,X0),x0),x0),x1),
    inference(backward_demodulation,[],[f88,f119]) ).

fof(f88,plain,
    ! [X0] : mult(mult(mult(x0,rd(X0,x1)),x0),x1) = mult(ld(x1,X0),ld(x1,unit)),
    inference(superposition,[],[f20,f30]) ).

fof(f18285,plain,
    ! [X0] : mult(mult(ld(x1,unit),X0),mult(rd(unit,x0),ld(x1,unit))) = mult(ld(x1,rd(X0,x0)),ld(x1,unit)),
    inference(backward_demodulation,[],[f7194,f18283]) ).

fof(f7194,plain,
    ! [X0] : mult(mult(ld(x1,unit),mult(X0,x1)),ld(x1,unit)) = mult(mult(ld(x1,unit),X0),mult(rd(unit,x0),ld(x1,unit))),
    inference(forward_demodulation,[],[f7193,f32]) ).

fof(f7193,plain,
    ! [X0] : mult(mult(ld(x1,unit),mult(X0,x1)),ld(x1,unit)) = mult(mult(ld(x1,unit),X0),mult(rd(unit,x0),mult(mult(x0,x0),x1))),
    inference(backward_demodulation,[],[f6239,f7180]) ).

fof(f7180,plain,
    ! [X0] : mult(rd(unit,x0),mult(mult(x0,X0),x1)) = mult(mult(ld(x0,ld(x1,unit)),X0),x1),
    inference(superposition,[],[f318,f6965]) ).

fof(f6239,plain,
    ! [X0] : mult(mult(ld(x1,unit),mult(X0,x1)),ld(x1,unit)) = mult(mult(ld(x1,unit),X0),mult(mult(ld(x0,ld(x1,unit)),x0),x1)),
    inference(superposition,[],[f478,f7]) ).

fof(f39830,plain,
    ! [X0] : ld(x0,mult(ld(x1,unit),X0)) = mult(ld(sF2,x0),ld(x0,X0)),
    inference(forward_demodulation,[],[f39766,f2]) ).

fof(f39766,plain,
    ! [X0] : ld(x0,mult(ld(x1,unit),X0)) = mult(ld(x0,mult(x0,ld(sF2,x0))),ld(x0,X0)),
    inference(superposition,[],[f2976,f35901]) ).

fof(f35901,plain,
    mult(ld(x1,unit),x0) = mult(x0,ld(sF2,x0)),
    inference(backward_demodulation,[],[f12896,f35898]) ).

fof(f35898,plain,
    ld(x1,mult(x0,sF2)) = mult(x0,ld(sF2,x0)),
    inference(superposition,[],[f14031,f35709]) ).

fof(f35709,plain,
    ld(sF2,x0) = ld(ld(x0,sF2),sF2),
    inference(forward_demodulation,[],[f35708,f6]) ).

fof(f35708,plain,
    ld(sF2,mult(unit,x0)) = ld(ld(x0,sF2),sF2),
    inference(forward_demodulation,[],[f35571,f20357]) ).

fof(f20357,plain,
    ! [X0] : ld(sF2,mult(X0,x0)) = ld(x0,mult(ld(x1,X0),x0)),
    inference(superposition,[],[f14465,f1]) ).

fof(f14465,plain,
    ! [X0] : ld(x0,mult(X0,x0)) = ld(sF2,mult(mult(x1,X0),x0)),
    inference(superposition,[],[f2,f8218]) ).

fof(f35571,plain,
    ld(x0,mult(ld(x1,unit),x0)) = ld(ld(x0,sF2),sF2),
    inference(superposition,[],[f19539,f12896]) ).

fof(f12896,plain,
    ld(x1,mult(x0,sF2)) = mult(ld(x1,unit),x0),
    inference(superposition,[],[f4224,f12713]) ).

fof(f12713,plain,
    x1 = rd(mult(x0,sF2),mult(ld(x1,unit),x0)),
    inference(superposition,[],[f6827,f14]) ).

fof(f6827,plain,
    ! [X0] : x1 = rd(mult(x0,mult(x1,X0)),mult(ld(x1,unit),X0)),
    inference(superposition,[],[f4,f1782]) ).

fof(f2976,plain,
    ! [X0,X1] : mult(ld(x0,mult(X1,x0)),ld(x0,X0)) = ld(x0,mult(X1,X0)),
    inference(superposition,[],[f712,f1]) ).

fof(f150742,plain,
    ! [X0] : mult(ld(sF2,x0),ld(x0,rd(X0,sF2))) = rd(ld(sF2,X0),sF2),
    inference(backward_demodulation,[],[f142357,f150727]) ).

fof(f142357,plain,
    ! [X0] : rd(mult(ld(sF2,x0),ld(x0,X0)),sF2) = mult(ld(sF2,x0),ld(x0,rd(X0,sF2))),
    inference(forward_demodulation,[],[f142312,f39830]) ).

fof(f142312,plain,
    ! [X0] : rd(mult(ld(sF2,x0),ld(x0,X0)),sF2) = ld(x0,mult(ld(x1,unit),rd(X0,sF2))),
    inference(backward_demodulation,[],[f123059,f142257]) ).

fof(f123059,plain,
    ! [X0] : ld(x0,rd(mult(ld(x1,unit),X0),sF2)) = rd(mult(ld(sF2,x0),ld(x0,X0)),sF2),
    inference(superposition,[],[f2,f122834]) ).

fof(f122834,plain,
    ! [X0] : rd(mult(ld(x1,unit),X0),sF2) = mult(x0,rd(mult(ld(sF2,x0),ld(x0,X0)),sF2)),
    inference(backward_demodulation,[],[f120830,f122685]) ).

fof(f122685,plain,
    ! [X0] : mult(mult(mult(mult(x0,x0),X0),x0),x1) = mult(x0,rd(mult(ld(sF2,x0),X0),sF2)),
    inference(backward_demodulation,[],[f121891,f122643]) ).

fof(f122643,plain,
    ! [X0] : mult(x0,rd(X0,sF2)) = rd(mult(x0,X0),sF2),
    inference(forward_demodulation,[],[f122642,f54837]) ).

fof(f122642,plain,
    ! [X0] : mult(x0,rd(X0,sF2)) = rd(mult(x0,X0),mult(x0,mult(x1,sF2))),
    inference(forward_demodulation,[],[f122641,f2713]) ).

fof(f122641,plain,
    ! [X0] : mult(x0,rd(X0,sF2)) = mult(x0,mult(rd(X0,mult(x1,sF2)),x1)),
    inference(forward_demodulation,[],[f122640,f448]) ).

fof(f122640,plain,
    ! [X0] : mult(x0,mult(rd(X0,mult(x1,sF2)),x1)) = rd(mult(x0,rd(X0,sF2)),unit),
    inference(forward_demodulation,[],[f122629,f19]) ).

fof(f122629,plain,
    ! [X0] : mult(x0,mult(rd(X0,mult(x1,sF2)),x1)) = rd(mult(x0,rd(X0,sF2)),mult(x0,x1)),
    inference(superposition,[],[f2695,f120145]) ).

fof(f121891,plain,
    ! [X0] : mult(mult(mult(mult(x0,x0),X0),x0),x1) = rd(mult(x0,mult(ld(sF2,x0),X0)),sF2),
    inference(forward_demodulation,[],[f121890,f167]) ).

fof(f121890,plain,
    ! [X0] : ld(x1,ld(x0,mult(mult(x0,x0),X0))) = rd(mult(x0,mult(ld(sF2,x0),X0)),sF2),
    inference(forward_demodulation,[],[f121889,f18640]) ).

fof(f121889,plain,
    ! [X0] : ld(x1,rd(mult(x0,mult(X0,x1)),x1)) = rd(mult(x0,mult(ld(sF2,x0),X0)),sF2),
    inference(forward_demodulation,[],[f121813,f39811]) ).

fof(f39811,plain,
    ! [X0] : mult(ld(x1,unit),mult(x0,X0)) = mult(x0,mult(ld(sF2,x0),X0)),
    inference(forward_demodulation,[],[f39757,f2]) ).

fof(f39757,plain,
    ! [X0] : mult(ld(x1,unit),mult(x0,X0)) = mult(x0,mult(ld(x0,mult(x0,ld(sF2,x0))),X0)),
    inference(superposition,[],[f1683,f35901]) ).

fof(f121813,plain,
    ! [X0] : ld(x1,rd(mult(x0,mult(X0,x1)),x1)) = rd(mult(ld(x1,unit),mult(x0,X0)),sF2),
    inference(superposition,[],[f120481,f27]) ).

fof(f120830,plain,
    ! [X0] : mult(mult(mult(mult(x0,x0),ld(x0,X0)),x0),x1) = rd(mult(ld(x1,unit),X0),sF2),
    inference(backward_demodulation,[],[f18291,f120481]) ).

fof(f18291,plain,
    ! [X0] : mult(mult(mult(mult(x0,x0),ld(x0,X0)),x0),x1) = ld(x1,rd(rd(X0,x0),x1)),
    inference(forward_demodulation,[],[f18286,f783]) ).

fof(f18286,plain,
    ! [X0] : mult(mult(mult(mult(x0,x0),ld(x0,X0)),x0),x1) = mult(ld(x1,rd(X0,x0)),ld(x1,unit)),
    inference(backward_demodulation,[],[f5517,f18283]) ).

fof(f5517,plain,
    ! [X0] : mult(mult(mult(mult(x0,x0),ld(x0,X0)),x0),x1) = mult(mult(ld(x1,unit),mult(X0,x1)),ld(x1,unit)),
    inference(superposition,[],[f2188,f32]) ).

fof(f2188,plain,
    ! [X0,X1] : mult(mult(mult(X0,x1),mult(X1,x1)),ld(x1,unit)) = mult(mult(mult(X0,ld(x0,X1)),x0),x1),
    inference(superposition,[],[f2144,f4]) ).

fof(f321173,plain,
    mult(x0,mult(x2,sF4)) = mult(mult(x0,sF1),sF2),
    inference(forward_demodulation,[],[f321172,f16]) ).

fof(f321172,plain,
    mult(mult(x0,sF1),sF2) = mult(x0,mult(x2,mult(x3,sF2))),
    inference(forward_demodulation,[],[f321171,f2]) ).

fof(f321171,plain,
    mult(mult(x0,sF1),sF2) = mult(x0,mult(x2,mult(ld(x0,mult(x0,x3)),sF2))),
    inference(forward_demodulation,[],[f321170,f321165]) ).

fof(f321165,plain,
    ! [X2,X0,X1] : mult(x0,mult(X0,mult(ld(x0,X1),sF2))) = rd(mult(mult(x0,mult(X0,ld(x0,X2))),X1),ld(mult(X1,sF2),mult(X2,X1))),
    inference(forward_demodulation,[],[f321164,f307171]) ).

fof(f321164,plain,
    ! [X2,X0,X1] : mult(x0,mult(mult(X0,ld(x0,X1)),sF2)) = rd(mult(mult(x0,mult(X0,ld(x0,X2))),X1),ld(mult(X1,sF2),mult(X2,X1))),
    inference(forward_demodulation,[],[f321163,f307171]) ).

fof(f321163,plain,
    ! [X2,X0,X1] : mult(mult(x0,mult(X0,ld(x0,X1))),sF2) = rd(mult(mult(x0,mult(X0,ld(x0,X2))),X1),ld(mult(X1,sF2),mult(X2,X1))),
    inference(forward_demodulation,[],[f320586,f316677]) ).

fof(f316677,plain,
    ! [X0,X1] : ld(mult(X0,sF2),X1) = ld(sF2,ld(X0,X1)),
    inference(superposition,[],[f305687,f1]) ).

fof(f305687,plain,
    ! [X0,X1] : ld(sF2,X1) = ld(mult(X0,sF2),mult(X0,X1)),
    inference(superposition,[],[f2,f304501]) ).

fof(f320586,plain,
    ! [X2,X0,X1] : mult(mult(x0,mult(X0,ld(x0,X1))),sF2) = rd(mult(mult(x0,mult(X0,ld(x0,X2))),X1),ld(sF2,ld(X1,mult(X2,X1)))),
    inference(superposition,[],[f305688,f2679]) ).

fof(f2679,plain,
    ! [X2,X0,X1] : mult(mult(x0,mult(X0,ld(x0,X1))),ld(X1,mult(X2,X1))) = mult(mult(x0,mult(X0,ld(x0,X2))),X1),
    inference(forward_demodulation,[],[f2651,f379]) ).

fof(f2651,plain,
    ! [X2,X0,X1] : mult(mult(mult(x0,mult(X0,x1)),X2),X1) = mult(mult(x0,mult(X0,ld(x0,X1))),ld(X1,mult(X2,X1))),
    inference(superposition,[],[f8,f379]) ).

fof(f305688,plain,
    ! [X0,X1] : mult(X0,sF2) = rd(mult(X0,X1),ld(sF2,X1)),
    inference(superposition,[],[f4,f304501]) ).

fof(f321170,plain,
    ! [X0] : mult(mult(x0,sF1),sF2) = rd(mult(mult(x0,mult(x2,ld(x0,X0))),mult(x0,x3)),ld(mult(mult(x0,x3),sF2),mult(X0,mult(x0,x3)))),
    inference(forward_demodulation,[],[f320588,f316677]) ).

fof(f320588,plain,
    ! [X0] : mult(mult(x0,sF1),sF2) = rd(mult(mult(x0,mult(x2,ld(x0,X0))),mult(x0,x3)),ld(sF2,ld(mult(x0,x3),mult(X0,mult(x0,x3))))),
    inference(superposition,[],[f305688,f9708]) ).

fof(f9708,plain,
    ! [X0] : mult(mult(x0,mult(x2,ld(x0,X0))),mult(x0,x3)) = mult(mult(x0,sF1),ld(mult(x0,x3),mult(X0,mult(x0,x3)))),
    inference(superposition,[],[f406,f13]) ).

fof(f2732,plain,
    mult(x0,mult(x2,x1)) = rd(mult(x0,sF5),mult(x0,sF4)),
    inference(superposition,[],[f384,f17]) ).

fof(f24349,plain,
    ! [X0,X1] : ld(x0,mult(rd(X0,mult(x0,X1)),x0)) = rd(ld(x0,X0),X1),
    inference(superposition,[],[f4,f2978]) ).

fof(f2978,plain,
    ! [X0,X1] : ld(x0,X0) = mult(ld(x0,mult(rd(X0,mult(x0,X1)),x0)),X1),
    inference(superposition,[],[f712,f3]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : GRP664-12 : TPTP v8.2.0. Released v8.1.0.
% 0.03/0.11  % Command    : run_vampire %s %d THM
% 0.12/0.32  % Computer : n027.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit   : 300
% 0.12/0.32  % WCLimit    : 300
% 0.12/0.32  % DateTime   : Thu Jun 20 09:06:39 EDT 2024
% 0.12/0.32  % CPUTime    : 
% 0.12/0.34  This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.12/0.34  Running first-order theorem proving
% 0.12/0.34  Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.41  % (9066)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41  % (9070)lrs+10_1:32_drc=encompass:sil=256000:i=140:irc=lazy_0 on theBenchmark for (3000ds/140Mi)
% 0.20/0.41  % (9066)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41  % (9068)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)
% 0.20/0.41  % (9066)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41  % (9071)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)
% 0.20/0.41  % (9066)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41  % (9067)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)
% 0.20/0.41  % (9066)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41  % (9073)dis+10_1:24_drc=encompass:sil=256000:tgt=ground:spb=goal:i=313:bd=preordered:irc=eager_0 on theBenchmark for (3000ds/313Mi)
% 0.20/0.41  % (9066)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41  % (9069)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)
% 0.20/0.42  % (9066)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42  % (9072)dis+10_1:128_drc=encompass:sil=256000:sp=occurrence:i=1122:kws=precedence:fsr=off_0 on theBenchmark for (3000ds/1122Mi)
% 0.20/0.47  % (9069)Instruction limit reached!
% 0.20/0.47  % (9069)------------------------------
% 0.20/0.47  % (9069)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.47  % (9069)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.47  % (9069)Termination reason: Time limit
% 0.20/0.47  % (9069)Termination phase: Saturation
% 0.20/0.47  
% 0.20/0.47  % (9069)Memory used [KB]: 2161
% 0.20/0.47  % (9069)Time elapsed: 0.070 s
% 0.20/0.47  % (9069)Instructions burned: 108 (million)
% 0.20/0.48  % (9070)Instruction limit reached!
% 0.20/0.48  % (9070)------------------------------
% 0.20/0.48  % (9070)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.48  % (9070)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.48  % (9070)Termination reason: Time limit
% 0.20/0.48  % (9070)Termination phase: Saturation
% 0.20/0.48  
% 0.20/0.48  % (9070)Memory used [KB]: 2554
% 0.20/0.48  % (9070)Time elapsed: 0.073 s
% 0.20/0.48  % (9070)Instructions burned: 140 (million)
% 0.20/0.51  % (9066)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.51  % (9074)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)
% 0.20/0.51  % (9066)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.51  % (9075)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)
% 0.20/0.53  % (9073)Instruction limit reached!
% 0.20/0.53  % (9073)------------------------------
% 0.20/0.53  % (9073)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.53  % (9073)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.53  % (9073)Termination reason: Time limit
% 0.20/0.53  % (9073)Termination phase: Saturation
% 0.20/0.53  
% 0.20/0.53  % (9073)Memory used [KB]: 4085
% 0.20/0.53  % (9073)Time elapsed: 0.125 s
% 0.20/0.53  % (9073)Instructions burned: 314 (million)
% 1.60/0.57  % (9066)Running in auto input_syntax mode. Trying TPTP
% 1.60/0.57  % (9076)lrs+10_16:1_bsr=on:drc=encompass:sil=64000:i=281:bd=off:to=lpo_0 on theBenchmark for (2998ds/281Mi)
% 1.78/0.58  % (9071)Instruction limit reached!
% 1.78/0.58  % (9071)------------------------------
% 1.78/0.58  % (9071)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.78/0.58  % (9071)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.78/0.58  % (9071)Termination reason: Time limit
% 1.78/0.58  % (9071)Termination phase: Saturation
% 1.78/0.58  
% 1.78/0.58  % (9071)Memory used [KB]: 5483
% 1.78/0.58  % (9071)Time elapsed: 0.179 s
% 1.78/0.58  % (9071)Instructions burned: 402 (million)
% 1.78/0.62  % (9066)Running in auto input_syntax mode. Trying TPTP
% 1.78/0.62  % (9077)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)
% 2.15/0.66  % (9076)Instruction limit reached!
% 2.15/0.66  % (9076)------------------------------
% 2.15/0.66  % (9076)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.15/0.66  % (9076)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.15/0.66  % (9076)Termination reason: Time limit
% 2.15/0.66  % (9076)Termination phase: Saturation
% 2.15/0.66  
% 2.15/0.66  % (9076)Memory used [KB]: 3391
% 2.15/0.66  % (9076)Time elapsed: 0.091 s
% 2.15/0.66  % (9076)Instructions burned: 281 (million)
% 2.15/0.70  % (9066)Running in auto input_syntax mode. Trying TPTP
% 2.15/0.70  % (9078)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 (2996ds/807Mi)
% 2.76/0.79  % (9072)Instruction limit reached!
% 2.76/0.79  % (9072)------------------------------
% 2.76/0.79  % (9072)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.76/0.79  % (9072)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.76/0.79  % (9072)Termination reason: Time limit
% 2.76/0.79  % (9072)Termination phase: Saturation
% 2.76/0.79  
% 2.76/0.79  % (9072)Memory used [KB]: 8561
% 2.76/0.79  % (9072)Time elapsed: 0.371 s
% 2.76/0.79  % (9072)Instructions burned: 1123 (million)
% 2.76/0.83  % (9066)Running in auto input_syntax mode. Trying TPTP
% 2.76/0.83  % (9079)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)
% 3.14/0.87  % (9074)Instruction limit reached!
% 3.14/0.87  % (9074)------------------------------
% 3.14/0.87  % (9074)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.14/0.87  % (9074)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.14/0.87  % (9074)Termination reason: Time limit
% 3.14/0.87  % (9074)Termination phase: Saturation
% 3.14/0.87  
% 3.14/0.87  % (9074)Memory used [KB]: 12927
% 3.14/0.87  % (9074)Time elapsed: 0.361 s
% 3.14/0.87  % (9074)Instructions burned: 1150 (million)
% 3.27/0.90  % (9066)Running in auto input_syntax mode. Trying TPTP
% 3.27/0.90  % (9080)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)
% 3.41/0.93  % (9078)Instruction limit reached!
% 3.41/0.93  % (9078)------------------------------
% 3.41/0.93  % (9078)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.41/0.93  % (9078)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.41/0.93  % (9078)Termination reason: Time limit
% 3.41/0.93  % (9078)Termination phase: Saturation
% 3.41/0.93  
% 3.41/0.93  % (9078)Memory used [KB]: 6925
% 3.41/0.93  % (9078)Time elapsed: 0.240 s
% 3.41/0.93  % (9078)Instructions burned: 808 (million)
% 3.74/0.97  % (9066)Running in auto input_syntax mode. Trying TPTP
% 3.74/0.97  % (9081)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)
% 3.74/0.98  % (9079)Instruction limit reached!
% 3.74/0.98  % (9079)------------------------------
% 3.74/0.98  % (9079)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.74/0.98  % (9079)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.74/0.98  % (9079)Termination reason: Time limit
% 3.74/0.98  % (9079)Termination phase: Saturation
% 3.74/0.98  
% 3.74/0.98  % (9079)Memory used [KB]: 4915
% 3.74/0.98  % (9079)Time elapsed: 0.154 s
% 3.74/0.98  % (9079)Instructions burned: 520 (million)
% 4.13/1.01  % (9066)Running in auto input_syntax mode. Trying TPTP
% 4.13/1.01  % (9082)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 (2993ds/1997Mi)
% 4.13/1.07  % (9080)Instruction limit reached!
% 4.13/1.07  % (9080)------------------------------
% 4.13/1.07  % (9080)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 4.13/1.07  % (9080)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 4.13/1.07  % (9080)Termination reason: Time limit
% 4.13/1.07  % (9080)Termination phase: Saturation
% 4.13/1.07  
% 4.13/1.07  % (9080)Memory used [KB]: 4665
% 4.13/1.07  % (9080)Time elapsed: 0.168 s
% 4.13/1.07  % (9080)Instructions burned: 525 (million)
% 5.23/1.11  % (9066)Running in auto input_syntax mode. Trying TPTP
% 5.23/1.11  % (9083)dis+10_1:3_to=lpo:drc=encompass:sil=256000:tgt=ground:i=637:fsr=off_0 on theBenchmark for (2992ds/637Mi)
% 5.23/1.15  % (9075)Instruction limit reached!
% 5.23/1.15  % (9075)------------------------------
% 5.23/1.15  % (9075)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 5.23/1.15  % (9075)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 5.23/1.15  % (9075)Termination reason: Time limit
% 5.23/1.15  % (9075)Termination phase: Saturation
% 5.23/1.15  
% 5.23/1.15  % (9075)Memory used [KB]: 13065
% 5.23/1.15  % (9075)Time elapsed: 0.639 s
% 5.23/1.15  % (9075)Instructions burned: 1917 (million)
% 5.78/1.18  % (9066)Running in auto input_syntax mode. Trying TPTP
% 5.78/1.18  % (9084)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 (2992ds/702Mi)
% 5.78/1.19  % (9084)Refutation not found, incomplete strategy% (9084)------------------------------
% 5.78/1.19  % (9084)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 5.78/1.19  % (9084)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 5.78/1.19  % (9084)Termination reason: Refutation not found, incomplete strategy
% 5.78/1.19  
% 5.78/1.19  % (9084)Memory used [KB]: 824
% 5.78/1.19  % (9084)Time elapsed: 0.003 s
% 5.78/1.19  % (9084)Instructions burned: 4 (million)
% 5.78/1.19  % (9084)------------------------------
% 5.78/1.19  % (9084)------------------------------
% 5.98/1.22  % (9066)Running in auto input_syntax mode. Trying TPTP
% 5.98/1.22  % (9085)lrs+10_1:4_drc=encompass:sil=16000:lwlo=on:st=-1.0:i=6272:ss=axioms_0 on theBenchmark for (2991ds/6272Mi)
% 6.14/1.24  % (9077)Instruction limit reached!
% 6.14/1.24  % (9077)------------------------------
% 6.14/1.24  % (9077)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 6.14/1.24  % (9077)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 6.14/1.24  % (9077)Termination reason: Time limit
% 6.14/1.24  % (9077)Termination phase: Saturation
% 6.14/1.24  
% 6.14/1.24  % (9077)Memory used [KB]: 9555
% 6.14/1.24  % (9077)Time elapsed: 0.627 s
% 6.14/1.24  % (9077)Instructions burned: 1827 (million)
% 6.14/1.28  % (9083)Instruction limit reached!
% 6.14/1.28  % (9083)------------------------------
% 6.14/1.28  % (9083)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 6.14/1.28  % (9083)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 6.14/1.28  % (9083)Termination reason: Time limit
% 6.14/1.28  % (9083)Termination phase: Saturation
% 6.14/1.28  
% 6.14/1.28  % (9083)Memory used [KB]: 6492
% 6.14/1.28  % (9083)Time elapsed: 0.173 s
% 6.14/1.28  % (9083)Instructions burned: 637 (million)
% 6.14/1.28  % (9066)Running in auto input_syntax mode. Trying TPTP
% 6.14/1.28  % (9086)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 (2991ds/10171Mi)
% 6.14/1.31  % (9066)Running in auto input_syntax mode. Trying TPTP
% 6.14/1.31  % (9087)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 (2990ds/1061Mi)
% 7.57/1.56  % (9082)Instruction limit reached!
% 7.57/1.56  % (9082)------------------------------
% 7.57/1.56  % (9082)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 7.57/1.56  % (9082)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 7.57/1.56  % (9082)Termination reason: Time limit
% 7.57/1.56  % (9082)Termination phase: Saturation
% 7.57/1.56  
% 7.57/1.56  % (9082)Memory used [KB]: 10176
% 7.57/1.56  % (9082)Time elapsed: 0.552 s
% 7.57/1.56  % (9082)Instructions burned: 1998 (million)
% 7.57/1.57  % (9087)Instruction limit reached!
% 7.57/1.57  % (9087)------------------------------
% 7.57/1.57  % (9087)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 7.57/1.57  % (9087)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 7.57/1.57  % (9087)Termination reason: Time limit
% 7.57/1.57  % (9087)Termination phase: Saturation
% 7.57/1.57  
% 7.57/1.57  % (9087)Memory used [KB]: 5104
% 7.57/1.57  % (9087)Time elapsed: 0.279 s
% 7.57/1.57  % (9087)Instructions burned: 1061 (million)
% 7.57/1.60  % (9066)Running in auto input_syntax mode. Trying TPTP
% 7.57/1.60  % (9088)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 (2987ds/1157Mi)
% 7.57/1.60  % (9066)Running in auto input_syntax mode. Trying TPTP
% 7.57/1.60  % (9089)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 (2987ds/1382Mi)
% 11.02/1.99  % (9088)Instruction limit reached!
% 11.02/1.99  % (9088)------------------------------
% 11.02/1.99  % (9088)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 11.02/1.99  % (9088)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 11.02/1.99  % (9088)Termination reason: Time limit
% 11.02/1.99  % (9088)Termination phase: Saturation
% 11.02/1.99  
% 11.02/1.99  % (9088)Memory used [KB]: 13663
% 11.02/1.99  % (9088)Time elapsed: 0.417 s
% 11.02/1.99  % (9088)Instructions burned: 1158 (million)
% 11.65/2.02  % (9066)Running in auto input_syntax mode. Trying TPTP
% 11.65/2.02  % (9090)ott+10_21691:1048576_drc=encompass:sil=256000:tgt=ground:sims=off:sp=occurrence:spb=goal_then_units:fd=preordered:i=2271:fibus=on:kws=precedence:av=off:fsr=off:uhcvi=on:fsd=on:fsdmm=2:slsq=on:slsql=off:slsqc=1:slsqr=320859,1048576:s2at=3.0:irc=lazy:rawr=on:ss=axioms:sd=2_0 on theBenchmark for (2983ds/2271Mi)
% 11.65/2.03  % (9090)Refutation not found, incomplete strategy% (9090)------------------------------
% 11.65/2.03  % (9090)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 11.65/2.03  % (9090)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 11.65/2.03  % (9090)Termination reason: Refutation not found, incomplete strategy
% 11.65/2.03  
% 11.65/2.03  % (9090)Memory used [KB]: 824
% 11.65/2.03  % (9090)Time elapsed: 0.003 s
% 11.65/2.03  % (9090)Instructions burned: 4 (million)
% 11.65/2.03  % (9090)------------------------------
% 11.65/2.03  % (9090)------------------------------
% 11.65/2.06  % (9066)Running in auto input_syntax mode. Trying TPTP
% 11.65/2.06  % (9091)lrs+10_1:128_drc=encompass:sil=256000:tgt=full:sp=unary_frequency:spb=non_intro:i=2392:kws=precedence:irc=eager_0 on theBenchmark for (2983ds/2392Mi)
% 11.65/2.07  % (9089)Instruction limit reached!
% 11.65/2.07  % (9089)------------------------------
% 11.65/2.07  % (9089)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 11.65/2.07  % (9089)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 11.65/2.07  % (9089)Termination reason: Time limit
% 11.65/2.07  % (9089)Termination phase: Saturation
% 11.65/2.07  
% 11.65/2.07  % (9089)Memory used [KB]: 19584
% 11.65/2.07  % (9089)Time elapsed: 0.491 s
% 11.65/2.07  % (9089)Instructions burned: 1384 (million)
% 12.41/2.13  % (9066)Running in auto input_syntax mode. Trying TPTP
% 12.41/2.13  % (9092)ott+10_1:128_drc=encompass:sil=256000:plsq=on:s2a=on:i=2544:kws=precedence:dpc=on:bd=preordered:ss=axioms_0 on theBenchmark for (2982ds/2544Mi)
% 12.41/2.13  % (9092)Refutation not found, incomplete strategy% (9092)------------------------------
% 12.41/2.13  % (9092)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 12.41/2.13  % (9092)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 12.41/2.13  % (9092)Termination reason: Refutation not found, incomplete strategy
% 12.41/2.13  
% 12.41/2.13  % (9092)Memory used [KB]: 757
% 12.41/2.13  % (9092)Time elapsed: 0.004 s
% 12.41/2.13  % (9092)Instructions burned: 3 (million)
% 12.41/2.13  % (9092)------------------------------
% 12.41/2.13  % (9092)------------------------------
% 12.41/2.17  % (9066)Running in auto input_syntax mode. Trying TPTP
% 12.41/2.17  % (9093)lrs+10_1:40_drc=encompass:sil=256000:tgt=full:sp=unary_frequency:spb=goal_then_units:i=5255:kws=frequency:rawr=on:irc=eager:fd=preordered_0 on theBenchmark for (2982ds/5255Mi)
% 15.20/2.55  % (9081)Instruction limit reached!
% 15.20/2.55  % (9081)------------------------------
% 15.20/2.55  % (9081)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 15.20/2.55  % (9081)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 15.20/2.55  % (9081)Termination reason: Time limit
% 15.20/2.55  % (9081)Termination phase: Saturation
% 15.20/2.55  
% 15.20/2.55  % (9081)Memory used [KB]: 43736
% 15.20/2.55  % (9081)Time elapsed: 1.583 s
% 15.20/2.55  % (9081)Instructions burned: 4287 (million)
% 15.20/2.59  % (9066)Running in auto input_syntax mode. Trying TPTP
% 15.20/2.59  % (9094)ott+10_2:5_bsr=unit_only:to=lpo:drc=encompass:sil=256000:sp=reverse_frequency:i=2866:ins=1:dpc=on:rawr=on_0 on theBenchmark for (2977ds/2866Mi)
% 18.20/2.95  % (9091)Instruction limit reached!
% 18.20/2.95  % (9091)------------------------------
% 18.20/2.95  % (9091)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 18.20/2.95  % (9091)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 18.20/2.95  % (9091)Termination reason: Time limit
% 18.20/2.95  % (9091)Termination phase: Saturation
% 18.20/2.95  
% 18.20/2.95  % (9091)Memory used [KB]: 29827
% 18.20/2.95  % (9091)Time elapsed: 0.894 s
% 18.20/2.95  % (9091)Instructions burned: 2392 (million)
% 18.20/2.99  % (9066)Running in auto input_syntax mode. Trying TPTP
% 18.20/2.99  % (9095)dis+10_1:1024_slsqr=5,2:sil=256000:tgt=ground:urr=on:slsqc=2:slsq=on:i=3253:ins=1:irc=lazy:rawr=on_0 on theBenchmark for (2973ds/3253Mi)
% 20.63/3.38  % (9094)Instruction limit reached!
% 20.63/3.38  % (9094)------------------------------
% 20.63/3.38  % (9094)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 20.63/3.38  % (9094)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 20.63/3.38  % (9094)Termination reason: Time limit
% 20.63/3.38  % (9094)Termination phase: Saturation
% 20.63/3.38  
% 20.63/3.38  % (9094)Memory used [KB]: 38169
% 20.63/3.38  % (9094)Time elapsed: 0.794 s
% 20.63/3.38  % (9094)Instructions burned: 2868 (million)
% 21.06/3.42  % (9066)Running in auto input_syntax mode. Trying TPTP
% 21.06/3.42  % (9096)lrs+10_1:1024_slsqr=1,4:drc=encompass:sil=256000:tgt=full:sp=reverse_frequency:slsqc=4:slsq=on:s2a=on:i=7906:bd=off:irc=eager:ss=axioms:rawr=on:st=3.0:awrs=converge:foolp=on_0 on theBenchmark for (2969ds/7906Mi)
% 21.06/3.42  % (9096)Refutation not found, incomplete strategy% (9096)------------------------------
% 21.06/3.42  % (9096)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 21.06/3.42  % (9096)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 21.06/3.42  % (9096)Termination reason: Refutation not found, incomplete strategy
% 21.06/3.42  
% 21.06/3.42  % (9096)Memory used [KB]: 823
% 21.06/3.42  % (9096)Time elapsed: 0.002 s
% 21.06/3.42  % (9096)Instructions burned: 4 (million)
% 21.06/3.42  % (9096)------------------------------
% 21.06/3.42  % (9096)------------------------------
% 21.06/3.45  % (9066)Running in auto input_syntax mode. Trying TPTP
% 21.06/3.45  % (9097)ott+10_1:10_drc=encompass:sil=256000:sp=reverse_frequency:fsoe=on:fd=preordered:i=4168:ins=2:bd=off:ss=axioms_0 on theBenchmark for (2969ds/4168Mi)
% 21.06/3.45  % (9097)Refutation not found, incomplete strategy% (9097)------------------------------
% 21.06/3.45  % (9097)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 21.06/3.45  % (9097)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 21.06/3.45  % (9097)Termination reason: Refutation not found, incomplete strategy
% 21.06/3.45  
% 21.06/3.45  % (9097)Memory used [KB]: 757
% 21.06/3.45  % (9097)Time elapsed: 0.003 s
% 21.06/3.45  % (9097)Instructions burned: 3 (million)
% 21.06/3.46  % (9097)------------------------------
% 21.06/3.46  % (9097)------------------------------
% 21.50/3.48  % (9085)Instruction limit reached!
% 21.50/3.48  % (9085)------------------------------
% 21.50/3.48  % (9085)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 21.50/3.48  % (9085)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 21.50/3.48  % (9085)Termination reason: Time limit
% 21.50/3.48  % (9085)Termination phase: Saturation
% 21.50/3.48  
% 21.50/3.48  % (9085)Memory used [KB]: 30129
% 21.50/3.48  % (9085)Time elapsed: 2.262 s
% 21.50/3.48  % (9085)Instructions burned: 6273 (million)
% 21.50/3.49  % (9066)Running in auto input_syntax mode. Trying TPTP
% 21.50/3.49  % (9098)lrs+10_1:6_drc=encompass:sil=32000:tgt=ground:s2agt=8:s2a=on:i=8705_0 on theBenchmark for (2968ds/8705Mi)
% 21.50/3.52  % (9066)Running in auto input_syntax mode. Trying TPTP
% 21.50/3.52  % (9099)dis+10_1:16_sil=256000:i=5821:bs=unit_only:rawr=on:plsq=on:to=lpo_0 on theBenchmark for (2968ds/5821Mi)
% 25.92/4.03  % (9095)Instruction limit reached!
% 25.92/4.03  % (9095)------------------------------
% 25.92/4.03  % (9095)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 25.92/4.03  % (9095)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 25.92/4.03  % (9095)Termination reason: Time limit
% 25.92/4.03  % (9095)Termination phase: Saturation
% 25.92/4.03  
% 25.92/4.03  % (9095)Memory used [KB]: 36575
% 25.92/4.03  % (9095)Time elapsed: 1.047 s
% 25.92/4.03  % (9095)Instructions burned: 3253 (million)
% 25.92/4.07  % (9066)Running in auto input_syntax mode. Trying TPTP
% 25.92/4.07  % (9100)dis+10_8125:131072_drc=encompass:sil=256000:tgt=full:sp=occurrence:lma=on:fd=preordered:i=14311:fibus=on:kws=precedence:doe=on:awrs=decay:awrsf=50:dpc=on:uhcvi=on:ss=axioms:irc=lazy_0 on theBenchmark for (2963ds/14311Mi)
% 25.92/4.07  % (9100)Refutation not found, incomplete strategy% (9100)------------------------------
% 25.92/4.07  % (9100)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 25.92/4.07  % (9100)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 25.92/4.07  % (9100)Termination reason: Refutation not found, incomplete strategy
% 25.92/4.07  
% 25.92/4.07  % (9100)Memory used [KB]: 823
% 25.92/4.07  % (9100)Time elapsed: 0.003 s
% 25.92/4.07  % (9100)Instructions burned: 4 (million)
% 25.92/4.07  % (9100)------------------------------
% 25.92/4.07  % (9100)------------------------------
% 26.23/4.11  % (9066)Running in auto input_syntax mode. Trying TPTP
% 26.23/4.11  % (9101)ott+10_1:1_drc=encompass:sil=256000:plsq=on:fd=preordered:st=5.0:s2a=on:i=35818:ins=1:ss=axioms:rawr=on_0 on theBenchmark for (2962ds/35818Mi)
% 27.09/4.21  % (9093)Instruction limit reached!
% 27.09/4.21  % (9093)------------------------------
% 27.09/4.21  % (9093)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 27.09/4.21  % (9093)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 27.09/4.21  % (9093)Termination reason: Time limit
% 27.09/4.21  % (9093)Termination phase: Saturation
% 27.09/4.21  
% 27.09/4.21  % (9093)Memory used [KB]: 49697
% 27.09/4.21  % (9093)Time elapsed: 2.043 s
% 27.09/4.21  % (9093)Instructions burned: 5255 (million)
% 27.47/4.25  % (9066)Running in auto input_syntax mode. Trying TPTP
% 27.47/4.25  % (9102)lrs+10_1:1_drc=encompass:sil=16000:fd=preordered:i=9154:bs=on:irc=lazy_0 on theBenchmark for (2961ds/9154Mi)
% 33.21/5.10  % (9086)Instruction limit reached!
% 33.21/5.10  % (9086)------------------------------
% 33.21/5.10  % (9086)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 33.21/5.10  % (9086)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 33.21/5.10  % (9086)Termination reason: Time limit
% 33.21/5.10  % (9086)Termination phase: Saturation
% 33.21/5.10  
% 33.21/5.10  % (9086)Memory used [KB]: 83165
% 33.21/5.10  % (9086)Time elapsed: 3.827 s
% 33.21/5.10  % (9086)Instructions burned: 10171 (million)
% 33.21/5.11  % (9099)Instruction limit reached!
% 33.21/5.11  % (9099)------------------------------
% 33.21/5.11  % (9099)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 33.21/5.11  % (9099)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 33.21/5.11  % (9099)Termination reason: Time limit
% 33.21/5.11  % (9099)Termination phase: Saturation
% 33.21/5.11  
% 33.21/5.11  % (9099)Memory used [KB]: 47622
% 33.21/5.11  % (9099)Time elapsed: 1.598 s
% 33.21/5.11  % (9099)Instructions burned: 5824 (million)
% 33.53/5.14  % (9066)Running in auto input_syntax mode. Trying TPTP
% 33.53/5.14  % (9103)lrs+10_1:16_drc=encompass:sil=16000:tgt=full:lwlo=on:s2pl=no:i=10003:av=off:rawr=on_0 on theBenchmark for (2952ds/10003Mi)
% 33.72/5.15  % (9066)Running in auto input_syntax mode. Trying TPTP
% 33.72/5.15  % (9104)ott+10_10:3_sil=256000:fde=unused:sp=frequency:spb=goal:i=11196:bs=on:kws=precedence:ins=1:dpc=on:rawr=on:nwc=3.0:drc=encompass_0 on theBenchmark for (2952ds/11196Mi)
% 45.98/6.91  % (9098)Instruction limit reached!
% 45.98/6.91  % (9098)------------------------------
% 45.98/6.91  % (9098)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 45.98/6.91  % (9098)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 45.98/6.91  % (9098)Termination reason: Time limit
% 45.98/6.91  % (9098)Termination phase: Saturation
% 45.98/6.91  
% 45.98/6.91  % (9098)Memory used [KB]: 67627
% 45.98/6.91  % (9098)Time elapsed: 3.419 s
% 45.98/6.91  % (9098)Instructions burned: 8705 (million)
% 45.98/6.95  % (9066)Running in auto input_syntax mode. Trying TPTP
% 45.98/6.95  % (9105)lrs+10_1:1_drc=encompass:sil=256000:tgt=ground:sp=unary_first:sos=on:i=36276:kws=precedence:lwlo=on:irc=lazy_0 on theBenchmark for (2934ds/36276Mi)
% 52.71/7.89  % (9102)Instruction limit reached!
% 52.71/7.89  % (9102)------------------------------
% 52.71/7.89  % (9102)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 52.71/7.89  % (9102)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 52.71/7.89  % (9102)Termination reason: Time limit
% 52.71/7.89  % (9102)Termination phase: Saturation
% 52.71/7.89  
% 52.71/7.89  % (9102)Memory used [KB]: 86375
% 52.71/7.89  % (9102)Time elapsed: 3.640 s
% 52.71/7.89  % (9102)Instructions burned: 9155 (million)
% 53.06/7.93  % (9066)Running in auto input_syntax mode. Trying TPTP
% 53.06/7.93  % (9106)lrs+10_13:1_bsr=on:drc=encompass:sil=64000:fd=preordered:i=12509:bd=off:irc=lazy_0 on theBenchmark for (2924ds/12509Mi)
% 59.55/8.87  % (9103)Instruction limit reached!
% 59.55/8.87  % (9103)------------------------------
% 59.55/8.87  % (9103)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 59.55/8.87  % (9103)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 59.55/8.87  % (9103)Termination reason: Time limit
% 59.55/8.87  % (9103)Termination phase: Saturation
% 59.55/8.87  
% 59.55/8.87  % (9103)Memory used [KB]: 48642
% 59.55/8.87  % (9103)Time elapsed: 3.731 s
% 59.55/8.87  % (9103)Instructions burned: 10005 (million)
% 60.10/8.91  % (9066)Running in auto input_syntax mode. Trying TPTP
% 60.10/8.91  % (9107)lrs+10_3:14_drc=encompass:sil=128000:sp=const_frequency:spb=goal:lwlo=on:i=27445:kws=precedence:irc=lazy:nwc=5.0:awrs=decay:awrsf=255:s2pl=no:s2agt=32:fsd=on:fsr=off:lma=on_0 on theBenchmark for (2914ds/27445Mi)
% 64.24/9.50  % (9104)Instruction limit reached!
% 64.24/9.50  % (9104)------------------------------
% 64.24/9.50  % (9104)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 64.24/9.50  % (9104)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 64.24/9.50  % (9104)Termination reason: Time limit
% 64.24/9.50  % (9104)Termination phase: Saturation
% 64.24/9.50  
% 64.24/9.50  % (9104)Memory used [KB]: 92835
% 64.24/9.50  % (9104)Time elapsed: 4.351 s
% 64.24/9.50  % (9104)Instructions burned: 11196 (million)
% 64.30/9.54  % (9066)Running in auto input_syntax mode. Trying TPTP
% 64.30/9.54  % (9108)lrs+10_1:1024_sil=256000:lwlo=on:i=31665:kws=precedence:awrs=converge:awrsf=240:drc=encompass:fd=preordered:tgt=ground_0 on theBenchmark for (2908ds/31665Mi)
% 83.84/12.34  % (9106)Instruction limit reached!
% 83.84/12.34  % (9106)------------------------------
% 83.84/12.34  % (9106)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 83.84/12.34  % (9106)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 83.84/12.34  % (9106)Termination reason: Time limit
% 83.84/12.34  % (9106)Termination phase: Saturation
% 83.84/12.34  
% 83.84/12.34  % (9106)Memory used [KB]: 124435
% 83.84/12.34  % (9106)Time elapsed: 4.409 s
% 83.84/12.34  % (9106)Instructions burned: 12509 (million)
% 84.47/12.39  % (9066)Running in auto input_syntax mode. Trying TPTP
% 84.47/12.39  % (9109)dis+10_1:256_to=lpo:drc=encompass:sil=256000:spb=goal:fd=preordered:i=18386:irc=eager:bs=unit_only_0 on theBenchmark for (2880ds/18386Mi)
% 121.47/17.70  % (9109)Instruction limit reached!
% 121.47/17.70  % (9109)------------------------------
% 121.47/17.70  % (9109)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 121.47/17.70  % (9109)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 121.47/17.70  % (9109)Termination reason: Time limit
% 121.47/17.70  % (9109)Termination phase: Saturation
% 121.47/17.70  
% 121.47/17.70  % (9109)Memory used [KB]: 128878
% 121.47/17.70  % (9109)Time elapsed: 5.311 s
% 121.47/17.70  % (9109)Instructions burned: 18386 (million)
% 122.01/17.74  % (9066)Running in auto input_syntax mode. Trying TPTP
% 122.01/17.74  % (9110)dis+10_1:20_drc=encompass:sil=256000:tgt=full:sp=reverse_frequency:spb=intro:fd=preordered:i=22321:kws=precedence:irc=eager:ins=1_0 on theBenchmark for (2826ds/22321Mi)
% 134.68/19.55  % (9101)Instruction limit reached!
% 134.68/19.55  % (9101)------------------------------
% 134.68/19.55  % (9101)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 134.68/19.55  % (9101)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 134.68/19.55  % (9101)Termination reason: Time limit
% 134.68/19.55  % (9101)Termination phase: Saturation
% 134.68/19.55  
% 134.68/19.55  % (9101)Memory used [KB]: 250834
% 134.68/19.55  % (9101)Time elapsed: 15.472 s
% 134.68/19.55  % (9101)Instructions burned: 35819 (million)
% 134.68/19.61  % (9066)Running in auto input_syntax mode. Trying TPTP
% 134.68/19.61  % (9111)dis+10_1:166_drc=encompass:sil=256000:tgt=full:i=26531:fsr=off:spb=non_intro:dpc=on:to=lpo:rawr=on_0 on theBenchmark for (2807ds/26531Mi)
% 141.27/20.52  % (9107)Instruction limit reached!
% 141.27/20.52  % (9107)------------------------------
% 141.27/20.52  % (9107)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 141.27/20.52  % (9107)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 141.27/20.52  % (9107)Termination reason: Time limit
% 141.27/20.52  % (9107)Termination phase: Saturation
% 141.27/20.52  
% 141.27/20.52  % (9107)Memory used [KB]: 124768
% 141.27/20.52  % (9107)Time elapsed: 11.611 s
% 141.27/20.52  % (9107)Instructions burned: 27445 (million)
% 141.27/20.57  % (9066)Running in auto input_syntax mode. Trying TPTP
% 141.27/20.57  % (9112)ott+10_1:4_drc=encompass:sil=256000:st=3.0:i=32454:ss=axioms:dpc=on:bd=preordered:slsq=on:slsqc=1:slsqr=1,2_0 on theBenchmark for (2798ds/32454Mi)
% 141.27/20.57  % (9112)Refutation not found, incomplete strategy% (9112)------------------------------
% 141.27/20.57  % (9112)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 141.27/20.57  % (9112)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 141.27/20.57  % (9112)Termination reason: Refutation not found, incomplete strategy
% 141.27/20.57  
% 141.27/20.57  % (9112)Memory used [KB]: 757
% 141.27/20.57  % (9112)Time elapsed: 0.003 s
% 141.27/20.57  % (9112)Instructions burned: 3 (million)
% 141.27/20.57  % (9112)------------------------------
% 141.27/20.57  % (9112)------------------------------
% 142.05/20.60  % (9066)Running in auto input_syntax mode. Trying TPTP
% 142.05/20.60  % (9113)lrs+10_3:58_drc=encompass:sil=256000:tgt=full:bsd=on:sp=reverse_arity:lwlo=on:s2a=on:i=157761:s2at=2.0:kws=precedence:bsr=on:irw=on:dpc=on:fibus=on:doe=on:bs=on:br=off:erd=off:s2agt=20:nwc=8.95214440448525:cond=fast:foolp=on:spb=non_intro:sfv=off:irc=lazy:fde=unused:ins=3_0 on theBenchmark for (2797ds/157761Mi)
% 147.85/21.43  % (9105)First to succeed.
% 147.85/21.44  % (9105)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-9066"
% 147.85/21.45  % (9066)Running in auto input_syntax mode. Trying TPTP
% 147.85/21.45  % (9105)Refutation found. Thanks to Tanya!
% 147.85/21.45  % SZS status Unsatisfiable for theBenchmark
% 147.85/21.45  % SZS output start Proof for theBenchmark
% See solution above
% 148.13/21.46  % (9105)------------------------------
% 148.13/21.46  % (9105)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 148.13/21.46  % (9105)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 148.13/21.46  % (9105)Termination reason: Refutation
% 148.13/21.46  
% 148.13/21.46  % (9105)Memory used [KB]: 192210
% 148.13/21.46  % (9105)Time elapsed: 14.493 s
% 148.13/21.46  % (9105)Instructions burned: 32913 (million)
% 148.13/21.46  % (9105)------------------------------
% 148.13/21.46  % (9105)------------------------------
% 148.13/21.46  % (9066)Success in time 21.093 s
%------------------------------------------------------------------------------