TSTP Solution File: GRP181-4 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GRP181-4 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n018.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 : Wed Aug 31 16:14:45 EDT 2022

% Result   : Unsatisfiable 24.98s 3.54s
% Output   : Refutation 25.45s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :  112
%            Number of leaves      :   20
% Syntax   : Number of formulae    :  293 ( 293 unt;   0 def)
%            Number of atoms       :  293 ( 292 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    5 (   5   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :   13 (   3 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-2 aty)
%            Number of variables   :  196 ( 196   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f8627,plain,
    $false,
    inference(subsumption_resolution,[],[f8596,f102]) ).

fof(f102,plain,
    ! [X2] : multiply(X2,identity) = X2,
    inference(superposition,[],[f31,f17]) ).

fof(f17,axiom,
    ! [X0] : inverse(inverse(X0)) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12x_2) ).

fof(f31,plain,
    ! [X0] : inverse(X0) = multiply(inverse(X0),identity),
    inference(forward_demodulation,[],[f27,f16]) ).

fof(f16,axiom,
    identity = inverse(identity),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12x_1) ).

fof(f27,plain,
    ! [X0] : inverse(X0) = multiply(inverse(X0),inverse(identity)),
    inference(superposition,[],[f18,f1]) ).

fof(f1,axiom,
    ! [X0] : multiply(identity,X0) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).

fof(f18,axiom,
    ! [X0,X1] : inverse(multiply(X0,X1)) = multiply(inverse(X1),inverse(X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12x_3) ).

fof(f8596,plain,
    a != multiply(a,identity),
    inference(backward_demodulation,[],[f7380,f8585]) ).

fof(f8585,plain,
    identity = multiply(greatest_lower_bound(identity,multiply(inverse(a),c)),multiply(inverse(c),multiply(a,least_upper_bound(identity,multiply(inverse(a),c))))),
    inference(backward_demodulation,[],[f7915,f8579]) ).

fof(f8579,plain,
    ! [X0] : multiply(inverse(c),multiply(greatest_lower_bound(identity,multiply(c,inverse(a))),X0)) = multiply(greatest_lower_bound(identity,multiply(inverse(a),c)),multiply(inverse(c),X0)),
    inference(forward_demodulation,[],[f8566,f3]) ).

fof(f3,axiom,
    ! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity) ).

fof(f8566,plain,
    ! [X0] : multiply(inverse(c),multiply(greatest_lower_bound(identity,multiply(c,inverse(a))),X0)) = multiply(multiply(greatest_lower_bound(identity,multiply(inverse(a),c)),inverse(c)),X0),
    inference(superposition,[],[f3,f8504]) ).

fof(f8504,plain,
    multiply(greatest_lower_bound(identity,multiply(inverse(a),c)),inverse(c)) = multiply(inverse(c),greatest_lower_bound(identity,multiply(c,inverse(a)))),
    inference(forward_demodulation,[],[f8503,f17]) ).

fof(f8503,plain,
    multiply(inverse(c),greatest_lower_bound(identity,multiply(c,inverse(a)))) = multiply(greatest_lower_bound(identity,multiply(inverse(inverse(inverse(a))),c)),inverse(c)),
    inference(forward_demodulation,[],[f8502,f60]) ).

fof(f60,plain,
    ! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
    inference(forward_demodulation,[],[f52,f3]) ).

fof(f52,plain,
    ! [X0,X1] : multiply(multiply(X0,inverse(X0)),X1) = X1,
    inference(superposition,[],[f1,f34]) ).

fof(f34,plain,
    ! [X0] : identity = multiply(X0,inverse(X0)),
    inference(superposition,[],[f2,f17]) ).

fof(f2,axiom,
    ! [X0] : identity = multiply(inverse(X0),X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).

fof(f8502,plain,
    multiply(inverse(a),multiply(inverse(inverse(a)),multiply(greatest_lower_bound(identity,multiply(inverse(inverse(inverse(a))),c)),inverse(c)))) = multiply(inverse(c),greatest_lower_bound(identity,multiply(c,inverse(a)))),
    inference(forward_demodulation,[],[f8501,f3]) ).

fof(f8501,plain,
    multiply(inverse(a),multiply(multiply(inverse(inverse(a)),greatest_lower_bound(identity,multiply(inverse(inverse(inverse(a))),c))),inverse(c))) = multiply(inverse(c),greatest_lower_bound(identity,multiply(c,inverse(a)))),
    inference(forward_demodulation,[],[f8500,f8307]) ).

fof(f8307,plain,
    ! [X2,X3] : greatest_lower_bound(X2,X3) = multiply(X2,greatest_lower_bound(identity,multiply(inverse(X2),X3))),
    inference(superposition,[],[f60,f284]) ).

fof(f284,plain,
    ! [X2,X3] : multiply(inverse(X2),greatest_lower_bound(X2,X3)) = greatest_lower_bound(identity,multiply(inverse(X2),X3)),
    inference(superposition,[],[f13,f2]) ).

fof(f13,axiom,
    ! [X2,X0,X1] : multiply(X0,greatest_lower_bound(X1,X2)) = greatest_lower_bound(multiply(X0,X1),multiply(X0,X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',monotony_glb1) ).

fof(f8500,plain,
    multiply(inverse(a),multiply(greatest_lower_bound(inverse(inverse(a)),c),inverse(c))) = multiply(inverse(c),greatest_lower_bound(identity,multiply(c,inverse(a)))),
    inference(forward_demodulation,[],[f8499,f2120]) ).

fof(f2120,plain,
    ! [X2,X3,X0,X1] : multiply(X0,multiply(greatest_lower_bound(X2,X1),X3)) = multiply(X0,multiply(greatest_lower_bound(X1,X2),X3)),
    inference(forward_demodulation,[],[f2080,f3]) ).

fof(f2080,plain,
    ! [X2,X3,X0,X1] : multiply(multiply(X0,greatest_lower_bound(X2,X1)),X3) = multiply(X0,multiply(greatest_lower_bound(X1,X2),X3)),
    inference(superposition,[],[f3,f308]) ).

fof(f308,plain,
    ! [X18,X19,X20] : multiply(X18,greatest_lower_bound(X19,X20)) = multiply(X18,greatest_lower_bound(X20,X19)),
    inference(forward_demodulation,[],[f302,f13]) ).

fof(f302,plain,
    ! [X18,X19,X20] : multiply(X18,greatest_lower_bound(X19,X20)) = greatest_lower_bound(multiply(X18,X20),multiply(X18,X19)),
    inference(superposition,[],[f4,f13]) ).

fof(f4,axiom,
    ! [X0,X1] : greatest_lower_bound(X0,X1) = greatest_lower_bound(X1,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_glb) ).

fof(f8499,plain,
    multiply(inverse(a),multiply(greatest_lower_bound(c,inverse(inverse(a))),inverse(c))) = multiply(inverse(c),greatest_lower_bound(identity,multiply(c,inverse(a)))),
    inference(forward_demodulation,[],[f8452,f363]) ).

fof(f363,plain,
    ! [X10,X11] : multiply(greatest_lower_bound(X10,X11),inverse(X10)) = greatest_lower_bound(identity,multiply(X11,inverse(X10))),
    inference(superposition,[],[f15,f34]) ).

fof(f15,axiom,
    ! [X2,X0,X1] : multiply(greatest_lower_bound(X1,X2),X0) = greatest_lower_bound(multiply(X1,X0),multiply(X2,X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',monotony_glb2) ).

fof(f8452,plain,
    multiply(inverse(a),greatest_lower_bound(identity,multiply(inverse(inverse(a)),inverse(c)))) = multiply(inverse(c),greatest_lower_bound(identity,multiply(c,inverse(a)))),
    inference(backward_demodulation,[],[f7348,f8307]) ).

fof(f7348,plain,
    greatest_lower_bound(inverse(a),inverse(c)) = multiply(inverse(c),greatest_lower_bound(identity,multiply(c,inverse(a)))),
    inference(forward_demodulation,[],[f7347,f119]) ).

fof(f119,plain,
    ! [X0,X1] : multiply(X1,multiply(X0,inverse(X0))) = X1,
    inference(superposition,[],[f102,f34]) ).

fof(f7347,plain,
    greatest_lower_bound(inverse(a),inverse(c)) = multiply(inverse(c),multiply(greatest_lower_bound(identity,multiply(c,inverse(a))),multiply(c,inverse(c)))),
    inference(forward_demodulation,[],[f7346,f60]) ).

fof(f7346,plain,
    greatest_lower_bound(inverse(a),inverse(c)) = multiply(inverse(c),multiply(greatest_lower_bound(identity,multiply(c,inverse(a))),multiply(a,multiply(inverse(a),multiply(c,inverse(c)))))),
    inference(forward_demodulation,[],[f7345,f3]) ).

fof(f7345,plain,
    greatest_lower_bound(inverse(a),inverse(c)) = multiply(inverse(c),multiply(greatest_lower_bound(identity,multiply(c,inverse(a))),multiply(a,multiply(multiply(inverse(a),c),inverse(c))))),
    inference(forward_demodulation,[],[f7344,f7236]) ).

fof(f7236,plain,
    ! [X6,X7] : multiply(greatest_lower_bound(identity,X6),multiply(least_upper_bound(identity,X6),X7)) = multiply(X6,X7),
    inference(superposition,[],[f3,f7123]) ).

fof(f7123,plain,
    ! [X1] : multiply(greatest_lower_bound(identity,X1),least_upper_bound(identity,X1)) = X1,
    inference(superposition,[],[f6973,f267]) ).

fof(f267,plain,
    ! [X10,X8,X9] : multiply(X8,least_upper_bound(X9,X10)) = multiply(X8,least_upper_bound(X10,X9)),
    inference(forward_demodulation,[],[f256,f12]) ).

fof(f12,axiom,
    ! [X2,X0,X1] : multiply(X0,least_upper_bound(X1,X2)) = least_upper_bound(multiply(X0,X1),multiply(X0,X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',monotony_lub1) ).

fof(f256,plain,
    ! [X10,X8,X9] : multiply(X8,least_upper_bound(X9,X10)) = least_upper_bound(multiply(X8,X10),multiply(X8,X9)),
    inference(superposition,[],[f12,f5]) ).

fof(f5,axiom,
    ! [X0,X1] : least_upper_bound(X0,X1) = least_upper_bound(X1,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_lub) ).

fof(f6973,plain,
    ! [X24] : multiply(greatest_lower_bound(identity,X24),least_upper_bound(X24,identity)) = X24,
    inference(forward_demodulation,[],[f6972,f16]) ).

fof(f6972,plain,
    ! [X24] : multiply(greatest_lower_bound(inverse(identity),X24),least_upper_bound(X24,identity)) = X24,
    inference(forward_demodulation,[],[f6971,f17]) ).

fof(f6971,plain,
    ! [X24] : multiply(greatest_lower_bound(inverse(identity),inverse(inverse(X24))),least_upper_bound(X24,identity)) = X24,
    inference(forward_demodulation,[],[f6958,f22]) ).

fof(f22,axiom,
    ! [X0,X1] : inverse(least_upper_bound(X0,X1)) = greatest_lower_bound(inverse(X0),inverse(X1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12x_7) ).

fof(f6958,plain,
    ! [X24] : multiply(inverse(least_upper_bound(identity,inverse(X24))),least_upper_bound(X24,identity)) = X24,
    inference(superposition,[],[f39,f2214]) ).

fof(f2214,plain,
    ! [X7] : multiply(least_upper_bound(identity,inverse(X7)),X7) = least_upper_bound(X7,identity),
    inference(superposition,[],[f322,f2]) ).

fof(f322,plain,
    ! [X0,X1] : multiply(least_upper_bound(identity,X1),X0) = least_upper_bound(X0,multiply(X1,X0)),
    inference(superposition,[],[f14,f1]) ).

fof(f14,axiom,
    ! [X2,X0,X1] : multiply(least_upper_bound(X1,X2),X0) = least_upper_bound(multiply(X1,X0),multiply(X2,X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',monotony_lub2) ).

fof(f39,plain,
    ! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
    inference(forward_demodulation,[],[f36,f3]) ).

fof(f36,plain,
    ! [X0,X1] : multiply(multiply(inverse(X0),X0),X1) = X1,
    inference(superposition,[],[f1,f2]) ).

fof(f7344,plain,
    multiply(inverse(c),multiply(greatest_lower_bound(identity,multiply(c,inverse(a))),multiply(a,multiply(greatest_lower_bound(identity,multiply(inverse(a),c)),multiply(least_upper_bound(identity,multiply(inverse(a),c)),inverse(c)))))) = greatest_lower_bound(inverse(a),inverse(c)),
    inference(forward_demodulation,[],[f7313,f3]) ).

fof(f7313,plain,
    greatest_lower_bound(inverse(a),inverse(c)) = multiply(inverse(c),multiply(greatest_lower_bound(identity,multiply(c,inverse(a))),multiply(multiply(a,greatest_lower_bound(identity,multiply(inverse(a),c))),multiply(least_upper_bound(identity,multiply(inverse(a),c)),inverse(c))))),
    inference(backward_demodulation,[],[f6433,f7294]) ).

fof(f7294,plain,
    greatest_lower_bound(a,c) = multiply(a,greatest_lower_bound(identity,multiply(inverse(a),c))),
    inference(forward_demodulation,[],[f7293,f1]) ).

fof(f7293,plain,
    greatest_lower_bound(a,c) = multiply(a,multiply(identity,greatest_lower_bound(identity,multiply(inverse(a),c)))),
    inference(forward_demodulation,[],[f7292,f17]) ).

fof(f7292,plain,
    multiply(inverse(inverse(a)),multiply(identity,greatest_lower_bound(identity,multiply(inverse(a),c)))) = greatest_lower_bound(inverse(inverse(a)),c),
    inference(forward_demodulation,[],[f7291,f102]) ).

fof(f7291,plain,
    multiply(inverse(inverse(a)),multiply(identity,greatest_lower_bound(identity,multiply(inverse(a),c)))) = greatest_lower_bound(inverse(inverse(a)),multiply(c,identity)),
    inference(forward_demodulation,[],[f7290,f4]) ).

fof(f7290,plain,
    multiply(inverse(inverse(a)),multiply(identity,greatest_lower_bound(identity,multiply(inverse(a),c)))) = greatest_lower_bound(multiply(c,identity),inverse(inverse(a))),
    inference(forward_demodulation,[],[f7289,f39]) ).

fof(f7289,plain,
    multiply(inverse(inverse(a)),multiply(identity,greatest_lower_bound(identity,multiply(inverse(a),c)))) = multiply(inverse(inverse(c)),multiply(inverse(c),greatest_lower_bound(multiply(c,identity),inverse(inverse(a))))),
    inference(forward_demodulation,[],[f7288,f16]) ).

fof(f7288,plain,
    multiply(inverse(inverse(c)),multiply(inverse(c),greatest_lower_bound(multiply(c,inverse(identity)),inverse(inverse(a))))) = multiply(inverse(inverse(a)),multiply(inverse(identity),greatest_lower_bound(identity,multiply(inverse(a),c)))),
    inference(forward_demodulation,[],[f7287,f284]) ).

fof(f7287,plain,
    multiply(inverse(inverse(c)),multiply(inverse(c),greatest_lower_bound(multiply(c,inverse(identity)),inverse(inverse(a))))) = multiply(inverse(inverse(a)),greatest_lower_bound(identity,multiply(inverse(identity),multiply(inverse(a),c)))),
    inference(forward_demodulation,[],[f7286,f4385]) ).

fof(f4385,plain,
    ! [X40,X41,X42] : multiply(X42,multiply(greatest_lower_bound(X40,inverse(X41)),X41)) = multiply(X42,greatest_lower_bound(identity,multiply(X40,X41))),
    inference(superposition,[],[f308,f365]) ).

fof(f365,plain,
    ! [X2,X3] : greatest_lower_bound(multiply(X3,X2),identity) = multiply(greatest_lower_bound(X3,inverse(X2)),X2),
    inference(superposition,[],[f15,f2]) ).

fof(f7286,plain,
    multiply(inverse(inverse(c)),multiply(inverse(c),greatest_lower_bound(multiply(c,inverse(identity)),inverse(inverse(a))))) = multiply(inverse(inverse(a)),multiply(greatest_lower_bound(inverse(identity),inverse(multiply(inverse(a),c))),multiply(inverse(a),c))),
    inference(forward_demodulation,[],[f7285,f22]) ).

fof(f7285,plain,
    multiply(inverse(inverse(c)),multiply(inverse(c),greatest_lower_bound(multiply(c,inverse(identity)),inverse(inverse(a))))) = multiply(inverse(inverse(a)),multiply(inverse(least_upper_bound(identity,multiply(inverse(a),c))),multiply(inverse(a),c))),
    inference(forward_demodulation,[],[f7284,f3]) ).

fof(f7284,plain,
    multiply(inverse(inverse(c)),multiply(inverse(c),greatest_lower_bound(multiply(c,inverse(identity)),inverse(inverse(a))))) = multiply(multiply(inverse(inverse(a)),inverse(least_upper_bound(identity,multiply(inverse(a),c)))),multiply(inverse(a),c)),
    inference(forward_demodulation,[],[f7283,f18]) ).

fof(f7283,plain,
    multiply(inverse(inverse(c)),multiply(inverse(c),greatest_lower_bound(multiply(c,inverse(identity)),inverse(inverse(a))))) = multiply(inverse(multiply(least_upper_bound(identity,multiply(inverse(a),c)),inverse(a))),multiply(inverse(a),c)),
    inference(forward_demodulation,[],[f7282,f3]) ).

fof(f7282,plain,
    multiply(inverse(inverse(c)),multiply(inverse(c),greatest_lower_bound(multiply(c,inverse(identity)),inverse(inverse(a))))) = multiply(multiply(inverse(multiply(least_upper_bound(identity,multiply(inverse(a),c)),inverse(a))),inverse(a)),c),
    inference(forward_demodulation,[],[f7281,f424]) ).

fof(f424,plain,
    ! [X10,X11,X9] : multiply(inverse(X9),greatest_lower_bound(multiply(X9,X10),X11)) = greatest_lower_bound(X10,multiply(inverse(X9),X11)),
    inference(superposition,[],[f13,f39]) ).

fof(f7281,plain,
    multiply(multiply(inverse(multiply(least_upper_bound(identity,multiply(inverse(a),c)),inverse(a))),inverse(a)),c) = multiply(inverse(inverse(c)),greatest_lower_bound(inverse(identity),multiply(inverse(c),inverse(inverse(a))))),
    inference(forward_demodulation,[],[f7280,f18]) ).

fof(f7280,plain,
    multiply(multiply(inverse(multiply(least_upper_bound(identity,multiply(inverse(a),c)),inverse(a))),inverse(a)),c) = multiply(inverse(inverse(c)),greatest_lower_bound(inverse(identity),inverse(multiply(inverse(a),c)))),
    inference(forward_demodulation,[],[f7279,f22]) ).

fof(f7279,plain,
    multiply(multiply(inverse(multiply(least_upper_bound(identity,multiply(inverse(a),c)),inverse(a))),inverse(a)),c) = multiply(inverse(inverse(c)),inverse(least_upper_bound(identity,multiply(inverse(a),c)))),
    inference(forward_demodulation,[],[f7278,f18]) ).

fof(f7278,plain,
    multiply(multiply(inverse(multiply(least_upper_bound(identity,multiply(inverse(a),c)),inverse(a))),inverse(a)),c) = inverse(multiply(least_upper_bound(identity,multiply(inverse(a),c)),inverse(c))),
    inference(forward_demodulation,[],[f7277,f18]) ).

fof(f7277,plain,
    inverse(multiply(least_upper_bound(identity,multiply(inverse(a),c)),inverse(c))) = multiply(inverse(multiply(a,multiply(least_upper_bound(identity,multiply(inverse(a),c)),inverse(a)))),c),
    inference(forward_demodulation,[],[f7273,f17]) ).

fof(f7273,plain,
    inverse(multiply(least_upper_bound(identity,multiply(inverse(a),c)),inverse(c))) = multiply(inverse(multiply(a,multiply(least_upper_bound(identity,multiply(inverse(a),c)),inverse(a)))),inverse(inverse(c))),
    inference(superposition,[],[f18,f7159]) ).

fof(f7159,plain,
    multiply(inverse(c),multiply(a,multiply(least_upper_bound(identity,multiply(inverse(a),c)),inverse(a)))) = multiply(least_upper_bound(identity,multiply(inverse(a),c)),inverse(c)),
    inference(forward_demodulation,[],[f7137,f39]) ).

fof(f7137,plain,
    multiply(least_upper_bound(identity,multiply(inverse(a),c)),inverse(c)) = multiply(inverse(c),multiply(a,multiply(least_upper_bound(identity,multiply(inverse(a),c)),multiply(inverse(c),multiply(c,inverse(a)))))),
    inference(backward_demodulation,[],[f6740,f7123]) ).

fof(f6740,plain,
    multiply(least_upper_bound(identity,multiply(inverse(a),c)),inverse(c)) = multiply(inverse(c),multiply(a,multiply(least_upper_bound(identity,multiply(inverse(a),c)),multiply(inverse(c),multiply(greatest_lower_bound(identity,multiply(c,inverse(a))),least_upper_bound(identity,multiply(c,inverse(a)))))))),
    inference(forward_demodulation,[],[f6739,f3]) ).

fof(f6739,plain,
    multiply(least_upper_bound(identity,multiply(inverse(a),c)),inverse(c)) = multiply(inverse(c),multiply(multiply(a,least_upper_bound(identity,multiply(inverse(a),c))),multiply(inverse(c),multiply(greatest_lower_bound(identity,multiply(c,inverse(a))),least_upper_bound(identity,multiply(c,inverse(a))))))),
    inference(forward_demodulation,[],[f6738,f3]) ).

fof(f6738,plain,
    multiply(multiply(inverse(c),multiply(a,least_upper_bound(identity,multiply(inverse(a),c)))),multiply(inverse(c),multiply(greatest_lower_bound(identity,multiply(c,inverse(a))),least_upper_bound(identity,multiply(c,inverse(a)))))) = multiply(least_upper_bound(identity,multiply(inverse(a),c)),inverse(c)),
    inference(forward_demodulation,[],[f6737,f6249]) ).

fof(f6249,plain,
    least_upper_bound(identity,multiply(inverse(c),multiply(greatest_lower_bound(a,c),multiply(inverse(c),multiply(a,least_upper_bound(identity,multiply(inverse(a),c))))))) = multiply(inverse(c),multiply(a,least_upper_bound(identity,multiply(inverse(a),c)))),
    inference(backward_demodulation,[],[f6074,f6200]) ).

fof(f6200,plain,
    b = multiply(greatest_lower_bound(a,c),multiply(inverse(c),multiply(a,least_upper_bound(identity,multiply(inverse(a),c))))),
    inference(forward_demodulation,[],[f6199,f1]) ).

fof(f6199,plain,
    b = multiply(greatest_lower_bound(a,c),multiply(inverse(c),multiply(a,multiply(identity,least_upper_bound(identity,multiply(inverse(a),c)))))),
    inference(forward_demodulation,[],[f6198,f16]) ).

fof(f6198,plain,
    b = multiply(greatest_lower_bound(a,c),multiply(inverse(c),multiply(a,multiply(inverse(identity),least_upper_bound(identity,multiply(inverse(a),c)))))),
    inference(forward_demodulation,[],[f6197,f245]) ).

fof(f245,plain,
    ! [X2,X3] : least_upper_bound(identity,multiply(inverse(X2),X3)) = multiply(inverse(X2),least_upper_bound(X2,X3)),
    inference(superposition,[],[f12,f2]) ).

fof(f6197,plain,
    b = multiply(greatest_lower_bound(a,c),multiply(inverse(c),multiply(a,least_upper_bound(identity,multiply(inverse(identity),multiply(inverse(a),c)))))),
    inference(forward_demodulation,[],[f6196,f3]) ).

fof(f6196,plain,
    b = multiply(greatest_lower_bound(a,c),multiply(inverse(c),multiply(a,least_upper_bound(identity,multiply(multiply(inverse(identity),inverse(a)),c))))),
    inference(forward_demodulation,[],[f6195,f18]) ).

fof(f6195,plain,
    b = multiply(greatest_lower_bound(a,c),multiply(inverse(c),multiply(a,least_upper_bound(identity,multiply(inverse(multiply(a,identity)),c))))),
    inference(forward_demodulation,[],[f6194,f1]) ).

fof(f6194,plain,
    b = multiply(greatest_lower_bound(a,c),multiply(inverse(c),multiply(a,least_upper_bound(identity,multiply(inverse(multiply(a,identity)),multiply(identity,c)))))),
    inference(forward_demodulation,[],[f6193,f8]) ).

fof(f8,axiom,
    ! [X0] : least_upper_bound(X0,X0) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',idempotence_of_lub) ).

fof(f6193,plain,
    b = multiply(greatest_lower_bound(a,c),multiply(inverse(c),multiply(a,least_upper_bound(identity,multiply(inverse(multiply(a,identity)),multiply(least_upper_bound(identity,identity),c)))))),
    inference(forward_demodulation,[],[f6192,f1]) ).

fof(f6192,plain,
    b = multiply(greatest_lower_bound(a,c),multiply(inverse(c),multiply(a,least_upper_bound(identity,multiply(inverse(multiply(a,identity)),multiply(least_upper_bound(identity,identity),multiply(identity,c))))))),
    inference(forward_demodulation,[],[f6191,f2234]) ).

fof(f2234,plain,
    ! [X2,X0,X1] : multiply(least_upper_bound(identity,X0),multiply(X1,X2)) = multiply(least_upper_bound(X1,multiply(X0,X1)),X2),
    inference(superposition,[],[f3,f322]) ).

fof(f6191,plain,
    b = multiply(greatest_lower_bound(a,c),multiply(inverse(c),multiply(a,least_upper_bound(identity,multiply(inverse(multiply(a,identity)),multiply(least_upper_bound(identity,multiply(identity,identity)),c)))))),
    inference(forward_demodulation,[],[f6190,f3798]) ).

fof(f3798,plain,
    ! [X48,X46,X47] : multiply(least_upper_bound(identity,multiply(X46,X47)),X48) = multiply(least_upper_bound(X46,inverse(X47)),multiply(X47,X48)),
    inference(forward_demodulation,[],[f3742,f3]) ).

fof(f3742,plain,
    ! [X48,X46,X47] : multiply(multiply(least_upper_bound(X46,inverse(X47)),X47),X48) = multiply(least_upper_bound(identity,multiply(X46,X47)),X48),
    inference(superposition,[],[f346,f328]) ).

fof(f328,plain,
    ! [X2,X3] : least_upper_bound(multiply(X3,X2),identity) = multiply(least_upper_bound(X3,inverse(X2)),X2),
    inference(superposition,[],[f14,f2]) ).

fof(f346,plain,
    ! [X8,X9,X7] : multiply(least_upper_bound(X9,X7),X8) = multiply(least_upper_bound(X7,X9),X8),
    inference(forward_demodulation,[],[f334,f14]) ).

fof(f334,plain,
    ! [X8,X9,X7] : least_upper_bound(multiply(X9,X8),multiply(X7,X8)) = multiply(least_upper_bound(X7,X9),X8),
    inference(superposition,[],[f14,f5]) ).

fof(f6190,plain,
    b = multiply(greatest_lower_bound(a,c),multiply(inverse(c),multiply(a,least_upper_bound(identity,multiply(inverse(multiply(a,identity)),multiply(least_upper_bound(identity,inverse(identity)),multiply(identity,c))))))),
    inference(forward_demodulation,[],[f6189,f3]) ).

fof(f6189,plain,
    b = multiply(greatest_lower_bound(a,c),multiply(inverse(c),multiply(a,least_upper_bound(identity,multiply(inverse(multiply(a,identity)),multiply(multiply(least_upper_bound(identity,inverse(identity)),identity),c)))))),
    inference(forward_demodulation,[],[f6188,f2211]) ).

fof(f2211,plain,
    ! [X2,X1] : least_upper_bound(X1,multiply(X2,inverse(X2))) = multiply(least_upper_bound(identity,inverse(X1)),X1),
    inference(superposition,[],[f322,f51]) ).

fof(f51,plain,
    ! [X0,X1] : multiply(X0,inverse(X0)) = multiply(inverse(X1),X1),
    inference(superposition,[],[f2,f34]) ).

fof(f6188,plain,
    b = multiply(greatest_lower_bound(a,c),multiply(inverse(c),multiply(a,least_upper_bound(identity,multiply(inverse(multiply(a,identity)),multiply(least_upper_bound(identity,multiply(a,inverse(a))),c)))))),
    inference(forward_demodulation,[],[f6187,f3798]) ).

fof(f6187,plain,
    b = multiply(greatest_lower_bound(a,c),multiply(inverse(c),multiply(a,least_upper_bound(identity,multiply(inverse(multiply(a,identity)),multiply(least_upper_bound(a,inverse(inverse(a))),multiply(inverse(a),c))))))),
    inference(forward_demodulation,[],[f6186,f436]) ).

fof(f436,plain,
    ! [X18,X19,X20] : least_upper_bound(X19,multiply(X20,multiply(X18,X19))) = multiply(least_upper_bound(X20,inverse(X18)),multiply(X18,X19)),
    inference(forward_demodulation,[],[f427,f5]) ).

fof(f427,plain,
    ! [X18,X19,X20] : multiply(least_upper_bound(X20,inverse(X18)),multiply(X18,X19)) = least_upper_bound(multiply(X20,multiply(X18,X19)),X19),
    inference(superposition,[],[f14,f39]) ).

fof(f6186,plain,
    b = multiply(greatest_lower_bound(a,c),multiply(inverse(c),multiply(a,least_upper_bound(identity,multiply(inverse(multiply(a,identity)),least_upper_bound(c,multiply(a,multiply(inverse(a),c)))))))),
    inference(forward_demodulation,[],[f6185,f245]) ).

fof(f6185,plain,
    b = multiply(greatest_lower_bound(a,c),multiply(inverse(c),multiply(a,multiply(inverse(multiply(a,identity)),least_upper_bound(multiply(a,identity),least_upper_bound(c,multiply(a,multiply(inverse(a),c)))))))),
    inference(forward_demodulation,[],[f6184,f5827]) ).

fof(f5827,plain,
    ! [X31,X32,X33] : least_upper_bound(identity,multiply(inverse(X31),least_upper_bound(X33,X32))) = multiply(inverse(X31),least_upper_bound(X31,least_upper_bound(X32,X33))),
    inference(superposition,[],[f245,f267]) ).

fof(f6184,plain,
    b = multiply(greatest_lower_bound(a,c),multiply(inverse(c),multiply(a,least_upper_bound(identity,multiply(inverse(multiply(a,identity)),least_upper_bound(multiply(a,multiply(inverse(a),c)),c)))))),
    inference(forward_demodulation,[],[f6183,f102]) ).

fof(f6183,plain,
    b = multiply(greatest_lower_bound(a,c),multiply(inverse(c),multiply(a,least_upper_bound(identity,multiply(inverse(multiply(a,identity)),least_upper_bound(multiply(a,multiply(inverse(a),c)),multiply(c,identity))))))),
    inference(forward_demodulation,[],[f6182,f1]) ).

fof(f6182,plain,
    b = multiply(greatest_lower_bound(a,c),multiply(inverse(c),multiply(a,multiply(identity,least_upper_bound(identity,multiply(inverse(multiply(a,identity)),least_upper_bound(multiply(a,multiply(inverse(a),c)),multiply(c,identity)))))))),
    inference(forward_demodulation,[],[f6181,f3]) ).

fof(f6181,plain,
    b = multiply(greatest_lower_bound(a,c),multiply(inverse(c),multiply(multiply(a,identity),least_upper_bound(identity,multiply(inverse(multiply(a,identity)),least_upper_bound(multiply(a,multiply(inverse(a),c)),multiply(c,identity))))))),
    inference(forward_demodulation,[],[f6180,f6046]) ).

fof(f6046,plain,
    ! [X36,X35] : least_upper_bound(X35,X36) = multiply(X35,least_upper_bound(identity,multiply(inverse(X35),X36))),
    inference(forward_demodulation,[],[f5899,f17]) ).

fof(f5899,plain,
    ! [X36,X35] : least_upper_bound(X35,X36) = multiply(inverse(inverse(X35)),least_upper_bound(identity,multiply(inverse(X35),X36))),
    inference(superposition,[],[f39,f245]) ).

fof(f6180,plain,
    b = multiply(greatest_lower_bound(a,c),multiply(inverse(c),least_upper_bound(multiply(a,identity),least_upper_bound(multiply(a,multiply(inverse(a),c)),multiply(c,identity))))),
    inference(forward_demodulation,[],[f6179,f1299]) ).

fof(f1299,plain,
    ! [X28,X29,X26,X27] : least_upper_bound(multiply(X26,X27),least_upper_bound(multiply(X26,X28),X29)) = least_upper_bound(X29,multiply(X26,least_upper_bound(X27,X28))),
    inference(superposition,[],[f222,f12]) ).

fof(f222,plain,
    ! [X10,X8,X9] : least_upper_bound(X8,least_upper_bound(X9,X10)) = least_upper_bound(X10,least_upper_bound(X8,X9)),
    inference(superposition,[],[f7,f5]) ).

fof(f7,axiom,
    ! [X2,X0,X1] : least_upper_bound(X0,least_upper_bound(X1,X2)) = least_upper_bound(least_upper_bound(X0,X1),X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_lub) ).

fof(f6179,plain,
    b = multiply(greatest_lower_bound(a,c),multiply(inverse(c),least_upper_bound(multiply(c,identity),multiply(a,least_upper_bound(identity,multiply(inverse(a),c)))))),
    inference(forward_demodulation,[],[f6178,f422]) ).

fof(f422,plain,
    ! [X3,X4,X5] : least_upper_bound(X4,multiply(inverse(X3),X5)) = multiply(inverse(X3),least_upper_bound(multiply(X3,X4),X5)),
    inference(superposition,[],[f12,f39]) ).

fof(f6178,plain,
    b = multiply(greatest_lower_bound(a,c),least_upper_bound(identity,multiply(inverse(c),multiply(a,least_upper_bound(identity,multiply(inverse(a),c)))))),
    inference(forward_demodulation,[],[f6177,f6150]) ).

fof(f6150,plain,
    multiply(least_upper_bound(identity,multiply(inverse(a),c)),multiply(inverse(c),b)) = multiply(inverse(c),multiply(a,least_upper_bound(identity,multiply(inverse(a),c)))),
    inference(forward_demodulation,[],[f6149,f17]) ).

fof(f6149,plain,
    multiply(least_upper_bound(identity,multiply(inverse(inverse(inverse(a))),c)),multiply(inverse(c),b)) = multiply(inverse(c),multiply(a,least_upper_bound(identity,multiply(inverse(a),c)))),
    inference(forward_demodulation,[],[f6148,f60]) ).

fof(f6148,plain,
    multiply(inverse(a),multiply(inverse(inverse(a)),multiply(least_upper_bound(identity,multiply(inverse(inverse(inverse(a))),c)),multiply(inverse(c),b)))) = multiply(inverse(c),multiply(a,least_upper_bound(identity,multiply(inverse(a),c)))),
    inference(forward_demodulation,[],[f6147,f3]) ).

fof(f6147,plain,
    multiply(inverse(a),multiply(multiply(inverse(inverse(a)),least_upper_bound(identity,multiply(inverse(inverse(inverse(a))),c))),multiply(inverse(c),b))) = multiply(inverse(c),multiply(a,least_upper_bound(identity,multiply(inverse(a),c)))),
    inference(forward_demodulation,[],[f6146,f6046]) ).

fof(f6146,plain,
    multiply(inverse(a),multiply(least_upper_bound(inverse(inverse(a)),c),multiply(inverse(c),b))) = multiply(inverse(c),multiply(a,least_upper_bound(identity,multiply(inverse(a),c)))),
    inference(forward_demodulation,[],[f6145,f1777]) ).

fof(f1777,plain,
    ! [X2,X3,X0,X1] : multiply(X0,multiply(least_upper_bound(X2,X1),X3)) = multiply(X0,multiply(least_upper_bound(X1,X2),X3)),
    inference(forward_demodulation,[],[f1757,f3]) ).

fof(f1757,plain,
    ! [X2,X3,X0,X1] : multiply(multiply(X0,least_upper_bound(X2,X1)),X3) = multiply(X0,multiply(least_upper_bound(X1,X2),X3)),
    inference(superposition,[],[f3,f267]) ).

fof(f6145,plain,
    multiply(inverse(c),multiply(a,least_upper_bound(identity,multiply(inverse(a),c)))) = multiply(inverse(a),multiply(least_upper_bound(c,inverse(inverse(a))),multiply(inverse(c),b))),
    inference(forward_demodulation,[],[f6144,f3]) ).

fof(f6144,plain,
    multiply(inverse(a),multiply(multiply(least_upper_bound(c,inverse(inverse(a))),inverse(c)),b)) = multiply(inverse(c),multiply(a,least_upper_bound(identity,multiply(inverse(a),c)))),
    inference(forward_demodulation,[],[f6143,f6046]) ).

fof(f6143,plain,
    multiply(inverse(a),multiply(multiply(least_upper_bound(c,inverse(inverse(a))),inverse(c)),b)) = multiply(inverse(c),least_upper_bound(a,c)),
    inference(forward_demodulation,[],[f6142,f326]) ).

fof(f326,plain,
    ! [X10,X11] : least_upper_bound(identity,multiply(X11,inverse(X10))) = multiply(least_upper_bound(X10,X11),inverse(X10)),
    inference(superposition,[],[f14,f34]) ).

fof(f6142,plain,
    multiply(inverse(c),least_upper_bound(a,c)) = multiply(inverse(a),multiply(least_upper_bound(identity,multiply(inverse(inverse(a)),inverse(c))),b)),
    inference(forward_demodulation,[],[f6051,f3]) ).

fof(f6051,plain,
    multiply(inverse(c),least_upper_bound(a,c)) = multiply(multiply(inverse(a),least_upper_bound(identity,multiply(inverse(inverse(a)),inverse(c)))),b),
    inference(backward_demodulation,[],[f5912,f6046]) ).

fof(f5912,plain,
    multiply(inverse(c),least_upper_bound(a,c)) = multiply(least_upper_bound(inverse(a),inverse(c)),b),
    inference(forward_demodulation,[],[f5857,f3915]) ).

fof(f3915,plain,
    least_upper_bound(identity,multiply(inverse(c),b)) = multiply(least_upper_bound(inverse(a),inverse(c)),b),
    inference(forward_demodulation,[],[f3712,f5]) ).

fof(f3712,plain,
    least_upper_bound(multiply(inverse(c),b),identity) = multiply(least_upper_bound(inverse(a),inverse(c)),b),
    inference(superposition,[],[f328,f69]) ).

fof(f69,plain,
    least_upper_bound(inverse(a),inverse(c)) = least_upper_bound(inverse(c),inverse(b)),
    inference(forward_demodulation,[],[f62,f21]) ).

fof(f21,axiom,
    ! [X0,X1] : inverse(greatest_lower_bound(X0,X1)) = least_upper_bound(inverse(X0),inverse(X1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12x_6) ).

fof(f62,plain,
    least_upper_bound(inverse(c),inverse(b)) = inverse(greatest_lower_bound(a,c)),
    inference(superposition,[],[f21,f24]) ).

fof(f24,plain,
    greatest_lower_bound(a,c) = greatest_lower_bound(c,b),
    inference(forward_demodulation,[],[f19,f4]) ).

fof(f19,axiom,
    greatest_lower_bound(a,c) = greatest_lower_bound(b,c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12x_4) ).

fof(f5857,plain,
    multiply(inverse(c),least_upper_bound(a,c)) = least_upper_bound(identity,multiply(inverse(c),b)),
    inference(superposition,[],[f245,f25]) ).

fof(f25,plain,
    least_upper_bound(a,c) = least_upper_bound(c,b),
    inference(forward_demodulation,[],[f20,f5]) ).

fof(f20,axiom,
    least_upper_bound(a,c) = least_upper_bound(b,c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12x_5) ).

fof(f6177,plain,
    b = multiply(greatest_lower_bound(a,c),least_upper_bound(identity,multiply(least_upper_bound(identity,multiply(inverse(a),c)),multiply(inverse(c),b)))),
    inference(forward_demodulation,[],[f6176,f17]) ).

fof(f6176,plain,
    b = multiply(greatest_lower_bound(a,c),least_upper_bound(identity,multiply(least_upper_bound(identity,multiply(inverse(inverse(inverse(a))),c)),multiply(inverse(c),b)))),
    inference(forward_demodulation,[],[f6175,f60]) ).

fof(f6175,plain,
    b = multiply(greatest_lower_bound(a,c),least_upper_bound(identity,multiply(inverse(a),multiply(inverse(inverse(a)),multiply(least_upper_bound(identity,multiply(inverse(inverse(inverse(a))),c)),multiply(inverse(c),b)))))),
    inference(forward_demodulation,[],[f6174,f3]) ).

fof(f6174,plain,
    b = multiply(greatest_lower_bound(a,c),least_upper_bound(identity,multiply(inverse(a),multiply(multiply(inverse(inverse(a)),least_upper_bound(identity,multiply(inverse(inverse(inverse(a))),c))),multiply(inverse(c),b))))),
    inference(forward_demodulation,[],[f6173,f6046]) ).

fof(f6173,plain,
    b = multiply(greatest_lower_bound(a,c),least_upper_bound(identity,multiply(inverse(a),multiply(least_upper_bound(inverse(inverse(a)),c),multiply(inverse(c),b))))),
    inference(forward_demodulation,[],[f6172,f1777]) ).

fof(f6172,plain,
    b = multiply(greatest_lower_bound(a,c),least_upper_bound(identity,multiply(inverse(a),multiply(least_upper_bound(c,inverse(inverse(a))),multiply(inverse(c),b))))),
    inference(forward_demodulation,[],[f6171,f3]) ).

fof(f6171,plain,
    b = multiply(greatest_lower_bound(a,c),least_upper_bound(identity,multiply(inverse(a),multiply(multiply(least_upper_bound(c,inverse(inverse(a))),inverse(c)),b)))),
    inference(forward_demodulation,[],[f6170,f326]) ).

fof(f6170,plain,
    b = multiply(greatest_lower_bound(a,c),least_upper_bound(identity,multiply(inverse(a),multiply(least_upper_bound(identity,multiply(inverse(inverse(a)),inverse(c))),b)))),
    inference(forward_demodulation,[],[f6169,f3]) ).

fof(f6169,plain,
    b = multiply(greatest_lower_bound(a,c),least_upper_bound(identity,multiply(multiply(inverse(a),least_upper_bound(identity,multiply(inverse(inverse(a)),inverse(c)))),b))),
    inference(forward_demodulation,[],[f6168,f6046]) ).

fof(f6168,plain,
    b = multiply(greatest_lower_bound(a,c),least_upper_bound(identity,multiply(least_upper_bound(inverse(a),inverse(c)),b))),
    inference(forward_demodulation,[],[f6056,f21]) ).

fof(f6056,plain,
    b = multiply(greatest_lower_bound(a,c),least_upper_bound(identity,multiply(inverse(greatest_lower_bound(a,c)),b))),
    inference(backward_demodulation,[],[f134,f6046]) ).

fof(f134,plain,
    b = least_upper_bound(greatest_lower_bound(a,c),b),
    inference(forward_demodulation,[],[f125,f5]) ).

fof(f125,plain,
    b = least_upper_bound(b,greatest_lower_bound(a,c)),
    inference(superposition,[],[f89,f24]) ).

fof(f89,plain,
    ! [X3,X4] : least_upper_bound(X3,greatest_lower_bound(X4,X3)) = X3,
    inference(superposition,[],[f10,f4]) ).

fof(f10,axiom,
    ! [X0,X1] : least_upper_bound(X0,greatest_lower_bound(X0,X1)) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',lub_absorbtion) ).

fof(f6074,plain,
    least_upper_bound(identity,multiply(inverse(c),b)) = multiply(inverse(c),multiply(a,least_upper_bound(identity,multiply(inverse(a),c)))),
    inference(backward_demodulation,[],[f5913,f6046]) ).

fof(f5913,plain,
    multiply(inverse(c),least_upper_bound(a,c)) = least_upper_bound(identity,multiply(inverse(c),b)),
    inference(backward_demodulation,[],[f3915,f5912]) ).

fof(f6737,plain,
    multiply(least_upper_bound(identity,multiply(inverse(c),multiply(greatest_lower_bound(a,c),multiply(inverse(c),multiply(a,least_upper_bound(identity,multiply(inverse(a),c))))))),multiply(inverse(c),multiply(greatest_lower_bound(identity,multiply(c,inverse(a))),least_upper_bound(identity,multiply(c,inverse(a)))))) = multiply(least_upper_bound(identity,multiply(inverse(a),c)),inverse(c)),
    inference(forward_demodulation,[],[f6736,f1]) ).

fof(f6736,plain,
    multiply(least_upper_bound(identity,multiply(inverse(c),multiply(greatest_lower_bound(a,c),multiply(inverse(c),multiply(a,least_upper_bound(identity,multiply(inverse(a),c))))))),multiply(inverse(c),multiply(greatest_lower_bound(identity,multiply(c,multiply(identity,inverse(a)))),least_upper_bound(identity,multiply(c,inverse(a)))))) = multiply(least_upper_bound(identity,multiply(inverse(a),c)),inverse(c)),
    inference(forward_demodulation,[],[f6735,f16]) ).

fof(f6735,plain,
    multiply(least_upper_bound(identity,multiply(inverse(a),c)),inverse(c)) = multiply(least_upper_bound(identity,multiply(inverse(c),multiply(greatest_lower_bound(a,c),multiply(inverse(c),multiply(a,least_upper_bound(identity,multiply(inverse(a),c))))))),multiply(inverse(c),multiply(greatest_lower_bound(identity,multiply(c,multiply(inverse(identity),inverse(a)))),least_upper_bound(identity,multiply(c,inverse(a)))))),
    inference(forward_demodulation,[],[f6734,f3]) ).

fof(f6734,plain,
    multiply(least_upper_bound(identity,multiply(inverse(a),c)),inverse(c)) = multiply(least_upper_bound(identity,multiply(inverse(c),multiply(greatest_lower_bound(a,c),multiply(inverse(c),multiply(a,least_upper_bound(identity,multiply(inverse(a),c))))))),multiply(inverse(c),multiply(greatest_lower_bound(identity,multiply(multiply(c,inverse(identity)),inverse(a))),least_upper_bound(identity,multiply(c,inverse(a)))))),
    inference(forward_demodulation,[],[f6733,f4137]) ).

fof(f4137,plain,
    ! [X6,X7,X5] : multiply(greatest_lower_bound(inverse(X5),X6),multiply(X5,X7)) = multiply(greatest_lower_bound(identity,multiply(X6,X5)),X7),
    inference(superposition,[],[f3,f360]) ).

fof(f360,plain,
    ! [X2,X3] : multiply(greatest_lower_bound(inverse(X2),X3),X2) = greatest_lower_bound(identity,multiply(X3,X2)),
    inference(superposition,[],[f15,f2]) ).

fof(f6733,plain,
    multiply(least_upper_bound(identity,multiply(inverse(a),c)),inverse(c)) = multiply(least_upper_bound(identity,multiply(inverse(c),multiply(greatest_lower_bound(a,c),multiply(inverse(c),multiply(a,least_upper_bound(identity,multiply(inverse(a),c))))))),multiply(inverse(c),multiply(greatest_lower_bound(inverse(inverse(a)),multiply(c,inverse(identity))),multiply(inverse(a),least_upper_bound(identity,multiply(c,inverse(a))))))),
    inference(forward_demodulation,[],[f6732,f2120]) ).

fof(f6732,plain,
    multiply(least_upper_bound(identity,multiply(inverse(a),c)),inverse(c)) = multiply(least_upper_bound(identity,multiply(inverse(c),multiply(greatest_lower_bound(a,c),multiply(inverse(c),multiply(a,least_upper_bound(identity,multiply(inverse(a),c))))))),multiply(inverse(c),multiply(greatest_lower_bound(multiply(c,inverse(identity)),inverse(inverse(a))),multiply(inverse(a),least_upper_bound(identity,multiply(c,inverse(a))))))),
    inference(forward_demodulation,[],[f6731,f3]) ).

fof(f6731,plain,
    multiply(least_upper_bound(identity,multiply(inverse(a),c)),inverse(c)) = multiply(least_upper_bound(identity,multiply(inverse(c),multiply(greatest_lower_bound(a,c),multiply(inverse(c),multiply(a,least_upper_bound(identity,multiply(inverse(a),c))))))),multiply(multiply(inverse(c),greatest_lower_bound(multiply(c,inverse(identity)),inverse(inverse(a)))),multiply(inverse(a),least_upper_bound(identity,multiply(c,inverse(a)))))),
    inference(forward_demodulation,[],[f6730,f424]) ).

fof(f6730,plain,
    multiply(least_upper_bound(identity,multiply(inverse(a),c)),inverse(c)) = multiply(least_upper_bound(identity,multiply(inverse(c),multiply(greatest_lower_bound(a,c),multiply(inverse(c),multiply(a,least_upper_bound(identity,multiply(inverse(a),c))))))),multiply(greatest_lower_bound(inverse(identity),multiply(inverse(c),inverse(inverse(a)))),multiply(inverse(a),least_upper_bound(identity,multiply(c,inverse(a)))))),
    inference(forward_demodulation,[],[f6729,f18]) ).

fof(f6729,plain,
    multiply(least_upper_bound(identity,multiply(inverse(a),c)),inverse(c)) = multiply(least_upper_bound(identity,multiply(inverse(c),multiply(greatest_lower_bound(a,c),multiply(inverse(c),multiply(a,least_upper_bound(identity,multiply(inverse(a),c))))))),multiply(greatest_lower_bound(inverse(identity),inverse(multiply(inverse(a),c))),multiply(inverse(a),least_upper_bound(identity,multiply(c,inverse(a)))))),
    inference(forward_demodulation,[],[f6728,f22]) ).

fof(f6728,plain,
    multiply(least_upper_bound(identity,multiply(inverse(c),multiply(greatest_lower_bound(a,c),multiply(inverse(c),multiply(a,least_upper_bound(identity,multiply(inverse(a),c))))))),multiply(inverse(least_upper_bound(identity,multiply(inverse(a),c))),multiply(inverse(a),least_upper_bound(identity,multiply(c,inverse(a)))))) = multiply(least_upper_bound(identity,multiply(inverse(a),c)),inverse(c)),
    inference(forward_demodulation,[],[f6727,f3]) ).

fof(f6727,plain,
    multiply(least_upper_bound(identity,multiply(inverse(c),multiply(greatest_lower_bound(a,c),multiply(inverse(c),multiply(a,least_upper_bound(identity,multiply(inverse(a),c))))))),multiply(multiply(inverse(least_upper_bound(identity,multiply(inverse(a),c))),inverse(a)),least_upper_bound(identity,multiply(c,inverse(a))))) = multiply(least_upper_bound(identity,multiply(inverse(a),c)),inverse(c)),
    inference(forward_demodulation,[],[f6726,f18]) ).

fof(f6726,plain,
    multiply(least_upper_bound(identity,multiply(inverse(a),c)),inverse(c)) = multiply(least_upper_bound(identity,multiply(inverse(c),multiply(greatest_lower_bound(a,c),multiply(inverse(c),multiply(a,least_upper_bound(identity,multiply(inverse(a),c))))))),multiply(inverse(multiply(a,least_upper_bound(identity,multiply(inverse(a),c)))),least_upper_bound(identity,multiply(c,inverse(a))))),
    inference(forward_demodulation,[],[f6725,f6302]) ).

fof(f6302,plain,
    least_upper_bound(identity,multiply(c,inverse(a))) = multiply(c,multiply(least_upper_bound(identity,multiply(inverse(a),c)),inverse(c))),
    inference(forward_demodulation,[],[f6301,f60]) ).

fof(f6301,plain,
    least_upper_bound(identity,multiply(c,inverse(a))) = multiply(a,multiply(inverse(a),multiply(c,multiply(least_upper_bound(identity,multiply(inverse(a),c)),inverse(c))))),
    inference(forward_demodulation,[],[f6300,f60]) ).

fof(f6300,plain,
    multiply(a,multiply(least_upper_bound(identity,multiply(inverse(a),c)),multiply(inverse(least_upper_bound(identity,multiply(inverse(a),c))),multiply(inverse(a),multiply(c,multiply(least_upper_bound(identity,multiply(inverse(a),c)),inverse(c))))))) = least_upper_bound(identity,multiply(c,inverse(a))),
    inference(forward_demodulation,[],[f6299,f3]) ).

fof(f6299,plain,
    least_upper_bound(identity,multiply(c,inverse(a))) = multiply(a,multiply(least_upper_bound(identity,multiply(inverse(a),c)),multiply(multiply(inverse(least_upper_bound(identity,multiply(inverse(a),c))),inverse(a)),multiply(c,multiply(least_upper_bound(identity,multiply(inverse(a),c)),inverse(c)))))),
    inference(forward_demodulation,[],[f6298,f18]) ).

fof(f6298,plain,
    least_upper_bound(identity,multiply(c,inverse(a))) = multiply(a,multiply(least_upper_bound(identity,multiply(inverse(a),c)),multiply(inverse(multiply(a,least_upper_bound(identity,multiply(inverse(a),c)))),multiply(c,multiply(least_upper_bound(identity,multiply(inverse(a),c)),inverse(c)))))),
    inference(forward_demodulation,[],[f6297,f17]) ).

fof(f6297,plain,
    least_upper_bound(identity,multiply(c,inverse(a))) = multiply(a,multiply(least_upper_bound(identity,multiply(inverse(a),c)),multiply(inverse(multiply(a,least_upper_bound(identity,multiply(inverse(a),c)))),multiply(inverse(inverse(c)),multiply(least_upper_bound(identity,multiply(inverse(a),c)),inverse(c)))))),
    inference(forward_demodulation,[],[f6296,f3]) ).

fof(f6296,plain,
    multiply(a,multiply(least_upper_bound(identity,multiply(inverse(a),c)),multiply(multiply(inverse(multiply(a,least_upper_bound(identity,multiply(inverse(a),c)))),inverse(inverse(c))),multiply(least_upper_bound(identity,multiply(inverse(a),c)),inverse(c))))) = least_upper_bound(identity,multiply(c,inverse(a))),
    inference(forward_demodulation,[],[f6295,f18]) ).

fof(f6295,plain,
    multiply(a,multiply(least_upper_bound(identity,multiply(inverse(a),c)),multiply(inverse(multiply(inverse(c),multiply(a,least_upper_bound(identity,multiply(inverse(a),c))))),multiply(least_upper_bound(identity,multiply(inverse(a),c)),inverse(c))))) = least_upper_bound(identity,multiply(c,inverse(a))),
    inference(forward_demodulation,[],[f6294,f17]) ).

fof(f6294,plain,
    multiply(a,multiply(least_upper_bound(identity,multiply(inverse(a),c)),multiply(inverse(multiply(inverse(c),multiply(a,least_upper_bound(identity,multiply(inverse(a),c))))),multiply(least_upper_bound(identity,multiply(inverse(inverse(inverse(a))),c)),inverse(c))))) = least_upper_bound(identity,multiply(c,inverse(a))),
    inference(forward_demodulation,[],[f6293,f60]) ).

fof(f6293,plain,
    least_upper_bound(identity,multiply(c,inverse(a))) = multiply(a,multiply(least_upper_bound(identity,multiply(inverse(a),c)),multiply(inverse(multiply(inverse(c),multiply(a,least_upper_bound(identity,multiply(inverse(a),c))))),multiply(inverse(a),multiply(inverse(inverse(a)),multiply(least_upper_bound(identity,multiply(inverse(inverse(inverse(a))),c)),inverse(c))))))),
    inference(forward_demodulation,[],[f6292,f3]) ).

fof(f6292,plain,
    least_upper_bound(identity,multiply(c,inverse(a))) = multiply(a,multiply(least_upper_bound(identity,multiply(inverse(a),c)),multiply(inverse(multiply(inverse(c),multiply(a,least_upper_bound(identity,multiply(inverse(a),c))))),multiply(inverse(a),multiply(multiply(inverse(inverse(a)),least_upper_bound(identity,multiply(inverse(inverse(inverse(a))),c))),inverse(c)))))),
    inference(forward_demodulation,[],[f6291,f6046]) ).

fof(f6291,plain,
    least_upper_bound(identity,multiply(c,inverse(a))) = multiply(a,multiply(least_upper_bound(identity,multiply(inverse(a),c)),multiply(inverse(multiply(inverse(c),multiply(a,least_upper_bound(identity,multiply(inverse(a),c))))),multiply(inverse(a),multiply(least_upper_bound(inverse(inverse(a)),c),inverse(c)))))),
    inference(forward_demodulation,[],[f6290,f1777]) ).

fof(f6290,plain,
    least_upper_bound(identity,multiply(c,inverse(a))) = multiply(a,multiply(least_upper_bound(identity,multiply(inverse(a),c)),multiply(inverse(multiply(inverse(c),multiply(a,least_upper_bound(identity,multiply(inverse(a),c))))),multiply(inverse(a),multiply(least_upper_bound(c,inverse(inverse(a))),inverse(c)))))),
    inference(forward_demodulation,[],[f6289,f326]) ).

fof(f6289,plain,
    least_upper_bound(identity,multiply(c,inverse(a))) = multiply(a,multiply(least_upper_bound(identity,multiply(inverse(a),c)),multiply(inverse(multiply(inverse(c),multiply(a,least_upper_bound(identity,multiply(inverse(a),c))))),multiply(inverse(a),least_upper_bound(identity,multiply(inverse(inverse(a)),inverse(c))))))),
    inference(forward_demodulation,[],[f6288,f6046]) ).

fof(f6288,plain,
    multiply(a,multiply(least_upper_bound(identity,multiply(inverse(a),c)),multiply(inverse(multiply(inverse(c),multiply(a,least_upper_bound(identity,multiply(inverse(a),c))))),least_upper_bound(inverse(a),inverse(c))))) = least_upper_bound(identity,multiply(c,inverse(a))),
    inference(forward_demodulation,[],[f6287,f21]) ).

fof(f6287,plain,
    multiply(a,multiply(least_upper_bound(identity,multiply(inverse(a),c)),multiply(inverse(multiply(inverse(c),multiply(a,least_upper_bound(identity,multiply(inverse(a),c))))),inverse(greatest_lower_bound(a,c))))) = least_upper_bound(identity,multiply(c,inverse(a))),
    inference(forward_demodulation,[],[f6260,f18]) ).

fof(f6260,plain,
    least_upper_bound(identity,multiply(c,inverse(a))) = multiply(a,multiply(least_upper_bound(identity,multiply(inverse(a),c)),inverse(multiply(greatest_lower_bound(a,c),multiply(inverse(c),multiply(a,least_upper_bound(identity,multiply(inverse(a),c)))))))),
    inference(backward_demodulation,[],[f6154,f6200]) ).

fof(f6154,plain,
    multiply(a,multiply(least_upper_bound(identity,multiply(inverse(a),c)),inverse(b))) = least_upper_bound(identity,multiply(c,inverse(a))),
    inference(forward_demodulation,[],[f6075,f3]) ).

fof(f6075,plain,
    multiply(multiply(a,least_upper_bound(identity,multiply(inverse(a),c))),inverse(b)) = least_upper_bound(identity,multiply(c,inverse(a))),
    inference(backward_demodulation,[],[f5973,f6046]) ).

fof(f5973,plain,
    least_upper_bound(identity,multiply(c,inverse(a))) = multiply(least_upper_bound(a,c),inverse(b)),
    inference(forward_demodulation,[],[f5972,f326]) ).

fof(f5972,plain,
    multiply(least_upper_bound(a,c),inverse(a)) = multiply(least_upper_bound(a,c),inverse(b)),
    inference(forward_demodulation,[],[f5971,f39]) ).

fof(f5971,plain,
    multiply(least_upper_bound(a,c),multiply(inverse(c),multiply(c,inverse(a)))) = multiply(least_upper_bound(a,c),inverse(b)),
    inference(forward_demodulation,[],[f5970,f346]) ).

fof(f5970,plain,
    multiply(least_upper_bound(c,a),multiply(inverse(c),multiply(c,inverse(a)))) = multiply(least_upper_bound(a,c),inverse(b)),
    inference(forward_demodulation,[],[f5969,f25]) ).

fof(f5969,plain,
    multiply(least_upper_bound(c,a),multiply(inverse(c),multiply(c,inverse(a)))) = multiply(least_upper_bound(c,b),inverse(b)),
    inference(forward_demodulation,[],[f5968,f3]) ).

fof(f5968,plain,
    multiply(least_upper_bound(c,b),inverse(b)) = multiply(multiply(least_upper_bound(c,a),inverse(c)),multiply(c,inverse(a))),
    inference(forward_demodulation,[],[f5967,f326]) ).

fof(f5967,plain,
    multiply(least_upper_bound(c,b),inverse(b)) = multiply(least_upper_bound(identity,multiply(a,inverse(c))),multiply(c,inverse(a))),
    inference(forward_demodulation,[],[f5966,f17]) ).

fof(f5966,plain,
    multiply(least_upper_bound(identity,multiply(a,inverse(c))),multiply(inverse(inverse(c)),inverse(a))) = multiply(least_upper_bound(inverse(inverse(c)),b),inverse(b)),
    inference(forward_demodulation,[],[f5965,f346]) ).

fof(f5965,plain,
    multiply(least_upper_bound(identity,multiply(a,inverse(c))),multiply(inverse(inverse(c)),inverse(a))) = multiply(least_upper_bound(b,inverse(inverse(c))),inverse(b)),
    inference(forward_demodulation,[],[f5964,f326]) ).

fof(f5964,plain,
    multiply(least_upper_bound(identity,multiply(a,inverse(c))),multiply(inverse(inverse(c)),inverse(a))) = least_upper_bound(identity,multiply(inverse(inverse(c)),inverse(b))),
    inference(forward_demodulation,[],[f5963,f346]) ).

fof(f5963,plain,
    least_upper_bound(identity,multiply(inverse(inverse(c)),inverse(b))) = multiply(least_upper_bound(multiply(a,inverse(c)),identity),multiply(inverse(inverse(c)),inverse(a))),
    inference(forward_demodulation,[],[f5854,f4497]) ).

fof(f4497,plain,
    ! [X34,X33] : multiply(inverse(X34),least_upper_bound(inverse(X33),X34)) = multiply(least_upper_bound(multiply(X33,X34),identity),multiply(inverse(X34),inverse(X33))),
    inference(forward_demodulation,[],[f4496,f18]) ).

fof(f4496,plain,
    ! [X34,X33] : multiply(inverse(X34),least_upper_bound(inverse(X33),X34)) = multiply(least_upper_bound(multiply(X33,X34),identity),inverse(multiply(X33,X34))),
    inference(forward_demodulation,[],[f4495,f2336]) ).

fof(f2336,plain,
    ! [X30] : multiply(least_upper_bound(X30,identity),inverse(X30)) = least_upper_bound(inverse(X30),identity),
    inference(superposition,[],[f344,f34]) ).

fof(f344,plain,
    ! [X0,X1] : least_upper_bound(X0,multiply(X1,X0)) = multiply(least_upper_bound(X1,identity),X0),
    inference(forward_demodulation,[],[f327,f5]) ).

fof(f327,plain,
    ! [X0,X1] : multiply(least_upper_bound(X1,identity),X0) = least_upper_bound(multiply(X1,X0),X0),
    inference(superposition,[],[f14,f1]) ).

fof(f4495,plain,
    ! [X34,X33] : least_upper_bound(inverse(multiply(X33,X34)),identity) = multiply(inverse(X34),least_upper_bound(inverse(X33),X34)),
    inference(forward_demodulation,[],[f4494,f16]) ).

fof(f4494,plain,
    ! [X34,X33] : least_upper_bound(inverse(multiply(X33,X34)),inverse(identity)) = multiply(inverse(X34),least_upper_bound(inverse(X33),X34)),
    inference(forward_demodulation,[],[f4493,f17]) ).

fof(f4493,plain,
    ! [X34,X33] : least_upper_bound(inverse(multiply(X33,X34)),inverse(identity)) = multiply(inverse(X34),least_upper_bound(inverse(X33),inverse(inverse(X34)))),
    inference(forward_demodulation,[],[f4492,f21]) ).

fof(f4492,plain,
    ! [X34,X33] : least_upper_bound(inverse(multiply(X33,X34)),inverse(identity)) = multiply(inverse(X34),inverse(greatest_lower_bound(X33,inverse(X34)))),
    inference(forward_demodulation,[],[f4401,f21]) ).

fof(f4401,plain,
    ! [X34,X33] : multiply(inverse(X34),inverse(greatest_lower_bound(X33,inverse(X34)))) = inverse(greatest_lower_bound(multiply(X33,X34),identity)),
    inference(superposition,[],[f18,f365]) ).

fof(f5854,plain,
    least_upper_bound(identity,multiply(inverse(inverse(c)),inverse(b))) = multiply(inverse(inverse(c)),least_upper_bound(inverse(a),inverse(c))),
    inference(superposition,[],[f245,f69]) ).

fof(f6725,plain,
    multiply(least_upper_bound(identity,multiply(inverse(a),c)),inverse(c)) = multiply(least_upper_bound(identity,multiply(inverse(c),multiply(greatest_lower_bound(a,c),multiply(inverse(c),multiply(a,least_upper_bound(identity,multiply(inverse(a),c))))))),multiply(inverse(multiply(a,least_upper_bound(identity,multiply(inverse(a),c)))),multiply(c,multiply(least_upper_bound(identity,multiply(inverse(a),c)),inverse(c))))),
    inference(forward_demodulation,[],[f6724,f5889]) ).

fof(f5889,plain,
    ! [X8,X6,X7] : multiply(inverse(X6),multiply(least_upper_bound(X6,X7),X8)) = multiply(least_upper_bound(identity,multiply(inverse(X6),X7)),X8),
    inference(superposition,[],[f3,f245]) ).

fof(f6724,plain,
    multiply(inverse(c),multiply(least_upper_bound(c,multiply(greatest_lower_bound(a,c),multiply(inverse(c),multiply(a,least_upper_bound(identity,multiply(inverse(a),c)))))),multiply(inverse(multiply(a,least_upper_bound(identity,multiply(inverse(a),c)))),multiply(c,multiply(least_upper_bound(identity,multiply(inverse(a),c)),inverse(c)))))) = multiply(least_upper_bound(identity,multiply(inverse(a),c)),inverse(c)),
    inference(forward_demodulation,[],[f6723,f1777]) ).

fof(f6723,plain,
    multiply(least_upper_bound(identity,multiply(inverse(a),c)),inverse(c)) = multiply(inverse(c),multiply(least_upper_bound(multiply(greatest_lower_bound(a,c),multiply(inverse(c),multiply(a,least_upper_bound(identity,multiply(inverse(a),c))))),c),multiply(inverse(multiply(a,least_upper_bound(identity,multiply(inverse(a),c)))),multiply(c,multiply(least_upper_bound(identity,multiply(inverse(a),c)),inverse(c)))))),
    inference(forward_demodulation,[],[f6722,f17]) ).

fof(f6722,plain,
    multiply(inverse(c),multiply(least_upper_bound(multiply(greatest_lower_bound(a,c),multiply(inverse(c),multiply(a,least_upper_bound(identity,multiply(inverse(a),c))))),inverse(inverse(c))),multiply(inverse(multiply(a,least_upper_bound(identity,multiply(inverse(a),c)))),multiply(inverse(inverse(c)),multiply(least_upper_bound(identity,multiply(inverse(a),c)),inverse(c)))))) = multiply(least_upper_bound(identity,multiply(inverse(a),c)),inverse(c)),
    inference(forward_demodulation,[],[f6721,f3]) ).

fof(f6721,plain,
    multiply(least_upper_bound(identity,multiply(inverse(a),c)),inverse(c)) = multiply(inverse(c),multiply(least_upper_bound(multiply(greatest_lower_bound(a,c),multiply(inverse(c),multiply(a,least_upper_bound(identity,multiply(inverse(a),c))))),inverse(inverse(c))),multiply(multiply(inverse(multiply(a,least_upper_bound(identity,multiply(inverse(a),c)))),inverse(inverse(c))),multiply(least_upper_bound(identity,multiply(inverse(a),c)),inverse(c))))),
    inference(forward_demodulation,[],[f6720,f18]) ).

fof(f6720,plain,
    multiply(inverse(c),multiply(least_upper_bound(multiply(greatest_lower_bound(a,c),multiply(inverse(c),multiply(a,least_upper_bound(identity,multiply(inverse(a),c))))),inverse(inverse(c))),multiply(inverse(multiply(inverse(c),multiply(a,least_upper_bound(identity,multiply(inverse(a),c))))),multiply(least_upper_bound(identity,multiply(inverse(a),c)),inverse(c))))) = multiply(least_upper_bound(identity,multiply(inverse(a),c)),inverse(c)),
    inference(forward_demodulation,[],[f6719,f17]) ).

fof(f6719,plain,
    multiply(inverse(c),multiply(least_upper_bound(multiply(greatest_lower_bound(a,c),multiply(inverse(c),multiply(a,least_upper_bound(identity,multiply(inverse(a),c))))),inverse(inverse(c))),multiply(inverse(multiply(inverse(c),multiply(a,least_upper_bound(identity,multiply(inverse(a),c))))),multiply(least_upper_bound(identity,multiply(inverse(inverse(inverse(a))),c)),inverse(c))))) = multiply(least_upper_bound(identity,multiply(inverse(inverse(inverse(a))),c)),inverse(c)),
    inference(forward_demodulation,[],[f6718,f60]) ).

fof(f6718,plain,
    multiply(inverse(a),multiply(inverse(inverse(a)),multiply(least_upper_bound(identity,multiply(inverse(inverse(inverse(a))),c)),inverse(c)))) = multiply(inverse(c),multiply(least_upper_bound(multiply(greatest_lower_bound(a,c),multiply(inverse(c),multiply(a,least_upper_bound(identity,multiply(inverse(a),c))))),inverse(inverse(c))),multiply(inverse(multiply(inverse(c),multiply(a,least_upper_bound(identity,multiply(inverse(a),c))))),multiply(inverse(a),multiply(inverse(inverse(a)),multiply(least_upper_bound(identity,multiply(inverse(inverse(inverse(a))),c)),inverse(c))))))),
    inference(forward_demodulation,[],[f6717,f3]) ).

fof(f6717,plain,
    multiply(inverse(c),multiply(least_upper_bound(multiply(greatest_lower_bound(a,c),multiply(inverse(c),multiply(a,least_upper_bound(identity,multiply(inverse(a),c))))),inverse(inverse(c))),multiply(inverse(multiply(inverse(c),multiply(a,least_upper_bound(identity,multiply(inverse(a),c))))),multiply(inverse(a),multiply(multiply(inverse(inverse(a)),least_upper_bound(identity,multiply(inverse(inverse(inverse(a))),c))),inverse(c)))))) = multiply(inverse(a),multiply(multiply(inverse(inverse(a)),least_upper_bound(identity,multiply(inverse(inverse(inverse(a))),c))),inverse(c))),
    inference(forward_demodulation,[],[f6716,f6046]) ).

fof(f6716,plain,
    multiply(inverse(c),multiply(least_upper_bound(multiply(greatest_lower_bound(a,c),multiply(inverse(c),multiply(a,least_upper_bound(identity,multiply(inverse(a),c))))),inverse(inverse(c))),multiply(inverse(multiply(inverse(c),multiply(a,least_upper_bound(identity,multiply(inverse(a),c))))),multiply(inverse(a),multiply(least_upper_bound(inverse(inverse(a)),c),inverse(c)))))) = multiply(inverse(a),multiply(least_upper_bound(inverse(inverse(a)),c),inverse(c))),
    inference(forward_demodulation,[],[f6715,f1777]) ).

fof(f6715,plain,
    multiply(inverse(a),multiply(least_upper_bound(c,inverse(inverse(a))),inverse(c))) = multiply(inverse(c),multiply(least_upper_bound(multiply(greatest_lower_bound(a,c),multiply(inverse(c),multiply(a,least_upper_bound(identity,multiply(inverse(a),c))))),inverse(inverse(c))),multiply(inverse(multiply(inverse(c),multiply(a,least_upper_bound(identity,multiply(inverse(a),c))))),multiply(inverse(a),multiply(least_upper_bound(c,inverse(inverse(a))),inverse(c)))))),
    inference(forward_demodulation,[],[f6714,f326]) ).

fof(f6714,plain,
    multiply(inverse(c),multiply(least_upper_bound(multiply(greatest_lower_bound(a,c),multiply(inverse(c),multiply(a,least_upper_bound(identity,multiply(inverse(a),c))))),inverse(inverse(c))),multiply(inverse(multiply(inverse(c),multiply(a,least_upper_bound(identity,multiply(inverse(a),c))))),multiply(inverse(a),least_upper_bound(identity,multiply(inverse(inverse(a)),inverse(c))))))) = multiply(inverse(a),least_upper_bound(identity,multiply(inverse(inverse(a)),inverse(c)))),
    inference(forward_demodulation,[],[f6713,f6046]) ).

fof(f6713,plain,
    least_upper_bound(inverse(a),inverse(c)) = multiply(inverse(c),multiply(least_upper_bound(multiply(greatest_lower_bound(a,c),multiply(inverse(c),multiply(a,least_upper_bound(identity,multiply(inverse(a),c))))),inverse(inverse(c))),multiply(inverse(multiply(inverse(c),multiply(a,least_upper_bound(identity,multiply(inverse(a),c))))),least_upper_bound(inverse(a),inverse(c))))),
    inference(forward_demodulation,[],[f6712,f21]) ).

fof(f6712,plain,
    least_upper_bound(inverse(a),inverse(c)) = multiply(inverse(c),multiply(least_upper_bound(multiply(greatest_lower_bound(a,c),multiply(inverse(c),multiply(a,least_upper_bound(identity,multiply(inverse(a),c))))),inverse(inverse(c))),multiply(inverse(multiply(inverse(c),multiply(a,least_upper_bound(identity,multiply(inverse(a),c))))),inverse(greatest_lower_bound(a,c))))),
    inference(forward_demodulation,[],[f6711,f18]) ).

fof(f6711,plain,
    least_upper_bound(inverse(a),inverse(c)) = multiply(inverse(c),multiply(least_upper_bound(multiply(greatest_lower_bound(a,c),multiply(inverse(c),multiply(a,least_upper_bound(identity,multiply(inverse(a),c))))),inverse(inverse(c))),inverse(multiply(greatest_lower_bound(a,c),multiply(inverse(c),multiply(a,least_upper_bound(identity,multiply(inverse(a),c)))))))),
    inference(forward_demodulation,[],[f6710,f326]) ).

fof(f6710,plain,
    least_upper_bound(inverse(a),inverse(c)) = multiply(inverse(c),least_upper_bound(identity,multiply(inverse(inverse(c)),inverse(multiply(greatest_lower_bound(a,c),multiply(inverse(c),multiply(a,least_upper_bound(identity,multiply(inverse(a),c))))))))),
    inference(forward_demodulation,[],[f6709,f6046]) ).

fof(f6709,plain,
    least_upper_bound(inverse(a),inverse(c)) = least_upper_bound(inverse(c),inverse(multiply(greatest_lower_bound(a,c),multiply(inverse(c),multiply(a,least_upper_bound(identity,multiply(inverse(a),c))))))),
    inference(forward_demodulation,[],[f6620,f21]) ).

fof(f6620,plain,
    least_upper_bound(inverse(c),inverse(multiply(greatest_lower_bound(a,c),multiply(inverse(c),multiply(a,least_upper_bound(identity,multiply(inverse(a),c))))))) = inverse(greatest_lower_bound(a,c)),
    inference(superposition,[],[f21,f6202]) ).

fof(f6202,plain,
    greatest_lower_bound(a,c) = greatest_lower_bound(c,multiply(greatest_lower_bound(a,c),multiply(inverse(c),multiply(a,least_upper_bound(identity,multiply(inverse(a),c)))))),
    inference(backward_demodulation,[],[f24,f6200]) ).

fof(f6433,plain,
    greatest_lower_bound(inverse(a),inverse(c)) = multiply(inverse(c),multiply(greatest_lower_bound(identity,multiply(c,inverse(a))),multiply(greatest_lower_bound(a,c),multiply(least_upper_bound(identity,multiply(inverse(a),c)),inverse(c))))),
    inference(forward_demodulation,[],[f6432,f1]) ).

fof(f6432,plain,
    greatest_lower_bound(inverse(a),inverse(c)) = multiply(inverse(c),multiply(greatest_lower_bound(identity,multiply(c,multiply(identity,inverse(a)))),multiply(greatest_lower_bound(a,c),multiply(least_upper_bound(identity,multiply(inverse(a),c)),inverse(c))))),
    inference(forward_demodulation,[],[f6431,f16]) ).

fof(f6431,plain,
    greatest_lower_bound(inverse(a),inverse(c)) = multiply(inverse(c),multiply(greatest_lower_bound(identity,multiply(c,multiply(inverse(identity),inverse(a)))),multiply(greatest_lower_bound(a,c),multiply(least_upper_bound(identity,multiply(inverse(a),c)),inverse(c))))),
    inference(forward_demodulation,[],[f6430,f3]) ).

fof(f6430,plain,
    multiply(inverse(c),multiply(greatest_lower_bound(identity,multiply(multiply(c,inverse(identity)),inverse(a))),multiply(greatest_lower_bound(a,c),multiply(least_upper_bound(identity,multiply(inverse(a),c)),inverse(c))))) = greatest_lower_bound(inverse(a),inverse(c)),
    inference(forward_demodulation,[],[f6429,f4137]) ).

fof(f6429,plain,
    greatest_lower_bound(inverse(a),inverse(c)) = multiply(inverse(c),multiply(greatest_lower_bound(inverse(inverse(a)),multiply(c,inverse(identity))),multiply(inverse(a),multiply(greatest_lower_bound(a,c),multiply(least_upper_bound(identity,multiply(inverse(a),c)),inverse(c)))))),
    inference(forward_demodulation,[],[f6428,f2120]) ).

fof(f6428,plain,
    greatest_lower_bound(inverse(a),inverse(c)) = multiply(inverse(c),multiply(greatest_lower_bound(multiply(c,inverse(identity)),inverse(inverse(a))),multiply(inverse(a),multiply(greatest_lower_bound(a,c),multiply(least_upper_bound(identity,multiply(inverse(a),c)),inverse(c)))))),
    inference(forward_demodulation,[],[f6427,f3]) ).

fof(f6427,plain,
    greatest_lower_bound(inverse(a),inverse(c)) = multiply(multiply(inverse(c),greatest_lower_bound(multiply(c,inverse(identity)),inverse(inverse(a)))),multiply(inverse(a),multiply(greatest_lower_bound(a,c),multiply(least_upper_bound(identity,multiply(inverse(a),c)),inverse(c))))),
    inference(forward_demodulation,[],[f6426,f424]) ).

fof(f6426,plain,
    greatest_lower_bound(inverse(a),inverse(c)) = multiply(greatest_lower_bound(inverse(identity),multiply(inverse(c),inverse(inverse(a)))),multiply(inverse(a),multiply(greatest_lower_bound(a,c),multiply(least_upper_bound(identity,multiply(inverse(a),c)),inverse(c))))),
    inference(forward_demodulation,[],[f6425,f18]) ).

fof(f6425,plain,
    greatest_lower_bound(inverse(a),inverse(c)) = multiply(greatest_lower_bound(inverse(identity),inverse(multiply(inverse(a),c))),multiply(inverse(a),multiply(greatest_lower_bound(a,c),multiply(least_upper_bound(identity,multiply(inverse(a),c)),inverse(c))))),
    inference(forward_demodulation,[],[f6424,f22]) ).

fof(f6424,plain,
    greatest_lower_bound(inverse(a),inverse(c)) = multiply(inverse(least_upper_bound(identity,multiply(inverse(a),c))),multiply(inverse(a),multiply(greatest_lower_bound(a,c),multiply(least_upper_bound(identity,multiply(inverse(a),c)),inverse(c))))),
    inference(forward_demodulation,[],[f6423,f3]) ).

fof(f6423,plain,
    greatest_lower_bound(inverse(a),inverse(c)) = multiply(multiply(inverse(least_upper_bound(identity,multiply(inverse(a),c))),inverse(a)),multiply(greatest_lower_bound(a,c),multiply(least_upper_bound(identity,multiply(inverse(a),c)),inverse(c)))),
    inference(forward_demodulation,[],[f6422,f18]) ).

fof(f6422,plain,
    greatest_lower_bound(inverse(a),inverse(c)) = multiply(inverse(multiply(a,least_upper_bound(identity,multiply(inverse(a),c)))),multiply(greatest_lower_bound(a,c),multiply(least_upper_bound(identity,multiply(inverse(a),c)),inverse(c)))),
    inference(forward_demodulation,[],[f6421,f39]) ).

fof(f6421,plain,
    greatest_lower_bound(inverse(a),inverse(c)) = multiply(inverse(multiply(a,least_upper_bound(identity,multiply(inverse(a),c)))),multiply(inverse(inverse(c)),multiply(inverse(c),multiply(greatest_lower_bound(a,c),multiply(least_upper_bound(identity,multiply(inverse(a),c)),inverse(c)))))),
    inference(forward_demodulation,[],[f6420,f3]) ).

fof(f6420,plain,
    greatest_lower_bound(inverse(a),inverse(c)) = multiply(multiply(inverse(multiply(a,least_upper_bound(identity,multiply(inverse(a),c)))),inverse(inverse(c))),multiply(inverse(c),multiply(greatest_lower_bound(a,c),multiply(least_upper_bound(identity,multiply(inverse(a),c)),inverse(c))))),
    inference(forward_demodulation,[],[f6419,f18]) ).

fof(f6419,plain,
    multiply(inverse(multiply(inverse(c),multiply(a,least_upper_bound(identity,multiply(inverse(a),c))))),multiply(inverse(c),multiply(greatest_lower_bound(a,c),multiply(least_upper_bound(identity,multiply(inverse(a),c)),inverse(c))))) = greatest_lower_bound(inverse(a),inverse(c)),
    inference(forward_demodulation,[],[f6418,f3]) ).

fof(f6418,plain,
    greatest_lower_bound(inverse(a),inverse(c)) = multiply(inverse(multiply(inverse(c),multiply(a,least_upper_bound(identity,multiply(inverse(a),c))))),multiply(inverse(c),multiply(multiply(greatest_lower_bound(a,c),least_upper_bound(identity,multiply(inverse(a),c))),inverse(c)))),
    inference(forward_demodulation,[],[f6417,f15]) ).

fof(f6417,plain,
    multiply(inverse(multiply(inverse(c),multiply(a,least_upper_bound(identity,multiply(inverse(a),c))))),multiply(inverse(c),multiply(greatest_lower_bound(multiply(a,least_upper_bound(identity,multiply(inverse(a),c))),multiply(c,least_upper_bound(identity,multiply(inverse(a),c)))),inverse(c)))) = greatest_lower_bound(inverse(a),inverse(c)),
    inference(forward_demodulation,[],[f6416,f17]) ).

fof(f6416,plain,
    greatest_lower_bound(inverse(a),inverse(c)) = multiply(inverse(multiply(inverse(c),multiply(a,least_upper_bound(identity,multiply(inverse(a),c))))),multiply(inverse(c),multiply(greatest_lower_bound(multiply(a,least_upper_bound(identity,multiply(inverse(a),c))),multiply(c,least_upper_bound(identity,multiply(inverse(inverse(inverse(a))),c)))),inverse(c)))),
    inference(forward_demodulation,[],[f6415,f2120]) ).

fof(f6415,plain,
    greatest_lower_bound(inverse(a),inverse(c)) = multiply(inverse(multiply(inverse(c),multiply(a,least_upper_bound(identity,multiply(inverse(a),c))))),multiply(inverse(c),multiply(greatest_lower_bound(multiply(c,least_upper_bound(identity,multiply(inverse(inverse(inverse(a))),c))),multiply(a,least_upper_bound(identity,multiply(inverse(a),c)))),inverse(c)))),
    inference(forward_demodulation,[],[f6414,f3]) ).

fof(f6414,plain,
    greatest_lower_bound(inverse(a),inverse(c)) = multiply(inverse(multiply(inverse(c),multiply(a,least_upper_bound(identity,multiply(inverse(a),c))))),multiply(multiply(inverse(c),greatest_lower_bound(multiply(c,least_upper_bound(identity,multiply(inverse(inverse(inverse(a))),c))),multiply(a,least_upper_bound(identity,multiply(inverse(a),c))))),inverse(c))),
    inference(forward_demodulation,[],[f6413,f424]) ).

fof(f6413,plain,
    greatest_lower_bound(inverse(a),inverse(c)) = multiply(inverse(multiply(inverse(c),multiply(a,least_upper_bound(identity,multiply(inverse(a),c))))),multiply(greatest_lower_bound(least_upper_bound(identity,multiply(inverse(inverse(inverse(a))),c)),multiply(inverse(c),multiply(a,least_upper_bound(identity,multiply(inverse(a),c))))),inverse(c))),
    inference(forward_demodulation,[],[f6412,f39]) ).

fof(f6412,plain,
    greatest_lower_bound(inverse(a),inverse(c)) = multiply(inverse(multiply(inverse(c),multiply(a,least_upper_bound(identity,multiply(inverse(a),c))))),multiply(greatest_lower_bound(least_upper_bound(identity,multiply(inverse(inverse(inverse(a))),c)),multiply(inverse(a),multiply(a,multiply(inverse(c),multiply(a,least_upper_bound(identity,multiply(inverse(a),c))))))),inverse(c))),
    inference(forward_demodulation,[],[f6411,f60]) ).

fof(f6411,plain,
    greatest_lower_bound(inverse(a),inverse(c)) = multiply(inverse(multiply(inverse(c),multiply(a,least_upper_bound(identity,multiply(inverse(a),c))))),multiply(inverse(a),multiply(inverse(inverse(a)),multiply(greatest_lower_bound(least_upper_bound(identity,multiply(inverse(inverse(inverse(a))),c)),multiply(inverse(a),multiply(a,multiply(inverse(c),multiply(a,least_upper_bound(identity,multiply(inverse(a),c))))))),inverse(c))))),
    inference(forward_demodulation,[],[f6410,f3]) ).

fof(f6410,plain,
    greatest_lower_bound(inverse(a),inverse(c)) = multiply(inverse(multiply(inverse(c),multiply(a,least_upper_bound(identity,multiply(inverse(a),c))))),multiply(inverse(a),multiply(multiply(inverse(inverse(a)),greatest_lower_bound(least_upper_bound(identity,multiply(inverse(inverse(inverse(a))),c)),multiply(inverse(a),multiply(a,multiply(inverse(c),multiply(a,least_upper_bound(identity,multiply(inverse(a),c)))))))),inverse(c)))),
    inference(forward_demodulation,[],[f6409,f425]) ).

fof(f425,plain,
    ! [X14,X12,X13] : greatest_lower_bound(multiply(inverse(X12),X14),X13) = multiply(inverse(X12),greatest_lower_bound(X14,multiply(X12,X13))),
    inference(superposition,[],[f13,f39]) ).

fof(f6409,plain,
    greatest_lower_bound(inverse(a),inverse(c)) = multiply(inverse(multiply(inverse(c),multiply(a,least_upper_bound(identity,multiply(inverse(a),c))))),multiply(inverse(a),multiply(greatest_lower_bound(multiply(inverse(inverse(a)),least_upper_bound(identity,multiply(inverse(inverse(inverse(a))),c))),multiply(a,multiply(inverse(c),multiply(a,least_upper_bound(identity,multiply(inverse(a),c)))))),inverse(c)))),
    inference(forward_demodulation,[],[f6408,f6046]) ).

fof(f6408,plain,
    multiply(inverse(multiply(inverse(c),multiply(a,least_upper_bound(identity,multiply(inverse(a),c))))),multiply(inverse(a),multiply(greatest_lower_bound(least_upper_bound(inverse(inverse(a)),c),multiply(a,multiply(inverse(c),multiply(a,least_upper_bound(identity,multiply(inverse(a),c)))))),inverse(c)))) = greatest_lower_bound(inverse(a),inverse(c)),
    inference(forward_demodulation,[],[f6407,f2639]) ).

fof(f2639,plain,
    ! [X36,X37,X34,X35] : multiply(greatest_lower_bound(least_upper_bound(X35,X34),X37),X36) = multiply(greatest_lower_bound(least_upper_bound(X34,X35),X37),X36),
    inference(forward_demodulation,[],[f2546,f15]) ).

fof(f2546,plain,
    ! [X36,X37,X34,X35] : greatest_lower_bound(multiply(least_upper_bound(X35,X34),X36),multiply(X37,X36)) = multiply(greatest_lower_bound(least_upper_bound(X34,X35),X37),X36),
    inference(superposition,[],[f15,f346]) ).

fof(f6407,plain,
    greatest_lower_bound(inverse(a),inverse(c)) = multiply(inverse(multiply(inverse(c),multiply(a,least_upper_bound(identity,multiply(inverse(a),c))))),multiply(inverse(a),multiply(greatest_lower_bound(least_upper_bound(c,inverse(inverse(a))),multiply(a,multiply(inverse(c),multiply(a,least_upper_bound(identity,multiply(inverse(a),c)))))),inverse(c)))),
    inference(forward_demodulation,[],[f6406,f3]) ).

fof(f6406,plain,
    greatest_lower_bound(inverse(a),inverse(c)) = multiply(inverse(multiply(inverse(c),multiply(a,least_upper_bound(identity,multiply(inverse(a),c))))),multiply(multiply(inverse(a),greatest_lower_bound(least_upper_bound(c,inverse(inverse(a))),multiply(a,multiply(inverse(c),multiply(a,least_upper_bound(identity,multiply(inverse(a),c))))))),inverse(c))),
    inference(forward_demodulation,[],[f6405,f425]) ).

fof(f6405,plain,
    greatest_lower_bound(inverse(a),inverse(c)) = multiply(inverse(multiply(inverse(c),multiply(a,least_upper_bound(identity,multiply(inverse(a),c))))),multiply(greatest_lower_bound(multiply(inverse(a),least_upper_bound(c,inverse(inverse(a)))),multiply(inverse(c),multiply(a,least_upper_bound(identity,multiply(inverse(a),c))))),inverse(c))),
    inference(forward_demodulation,[],[f6404,f361]) ).

fof(f361,plain,
    ! [X6,X7,X4,X5] : multiply(greatest_lower_bound(multiply(X4,X5),X7),X6) = greatest_lower_bound(multiply(X4,multiply(X5,X6)),multiply(X7,X6)),
    inference(superposition,[],[f15,f3]) ).

fof(f6404,plain,
    greatest_lower_bound(inverse(a),inverse(c)) = multiply(inverse(multiply(inverse(c),multiply(a,least_upper_bound(identity,multiply(inverse(a),c))))),greatest_lower_bound(multiply(inverse(a),multiply(least_upper_bound(c,inverse(inverse(a))),inverse(c))),multiply(multiply(inverse(c),multiply(a,least_upper_bound(identity,multiply(inverse(a),c)))),inverse(c)))),
    inference(forward_demodulation,[],[f6403,f308]) ).

fof(f6403,plain,
    greatest_lower_bound(inverse(a),inverse(c)) = multiply(inverse(multiply(inverse(c),multiply(a,least_upper_bound(identity,multiply(inverse(a),c))))),greatest_lower_bound(multiply(multiply(inverse(c),multiply(a,least_upper_bound(identity,multiply(inverse(a),c)))),inverse(c)),multiply(inverse(a),multiply(least_upper_bound(c,inverse(inverse(a))),inverse(c))))),
    inference(forward_demodulation,[],[f6402,f326]) ).

fof(f6402,plain,
    greatest_lower_bound(inverse(a),inverse(c)) = multiply(inverse(multiply(inverse(c),multiply(a,least_upper_bound(identity,multiply(inverse(a),c))))),greatest_lower_bound(multiply(multiply(inverse(c),multiply(a,least_upper_bound(identity,multiply(inverse(a),c)))),inverse(c)),multiply(inverse(a),least_upper_bound(identity,multiply(inverse(inverse(a)),inverse(c)))))),
    inference(forward_demodulation,[],[f6401,f6046]) ).

fof(f6401,plain,
    greatest_lower_bound(inverse(a),inverse(c)) = multiply(inverse(multiply(inverse(c),multiply(a,least_upper_bound(identity,multiply(inverse(a),c))))),greatest_lower_bound(multiply(multiply(inverse(c),multiply(a,least_upper_bound(identity,multiply(inverse(a),c)))),inverse(c)),least_upper_bound(inverse(a),inverse(c)))),
    inference(forward_demodulation,[],[f6400,f21]) ).

fof(f6400,plain,
    greatest_lower_bound(inverse(a),inverse(c)) = multiply(inverse(multiply(inverse(c),multiply(a,least_upper_bound(identity,multiply(inverse(a),c))))),greatest_lower_bound(multiply(multiply(inverse(c),multiply(a,least_upper_bound(identity,multiply(inverse(a),c)))),inverse(c)),inverse(greatest_lower_bound(a,c)))),
    inference(forward_demodulation,[],[f6399,f424]) ).

fof(f6399,plain,
    greatest_lower_bound(inverse(a),inverse(c)) = greatest_lower_bound(inverse(c),multiply(inverse(multiply(inverse(c),multiply(a,least_upper_bound(identity,multiply(inverse(a),c))))),inverse(greatest_lower_bound(a,c)))),
    inference(forward_demodulation,[],[f6203,f18]) ).

fof(f6203,plain,
    greatest_lower_bound(inverse(a),inverse(c)) = greatest_lower_bound(inverse(c),inverse(multiply(greatest_lower_bound(a,c),multiply(inverse(c),multiply(a,least_upper_bound(identity,multiply(inverse(a),c))))))),
    inference(backward_demodulation,[],[f81,f6200]) ).

fof(f81,plain,
    greatest_lower_bound(inverse(a),inverse(c)) = greatest_lower_bound(inverse(c),inverse(b)),
    inference(forward_demodulation,[],[f74,f22]) ).

fof(f74,plain,
    greatest_lower_bound(inverse(c),inverse(b)) = inverse(least_upper_bound(a,c)),
    inference(superposition,[],[f22,f25]) ).

fof(f7915,plain,
    identity = multiply(inverse(c),multiply(greatest_lower_bound(identity,multiply(c,inverse(a))),multiply(a,least_upper_bound(identity,multiply(inverse(a),c))))),
    inference(forward_demodulation,[],[f7914,f6046]) ).

fof(f7914,plain,
    identity = multiply(inverse(c),multiply(greatest_lower_bound(identity,multiply(c,inverse(a))),least_upper_bound(a,c))),
    inference(forward_demodulation,[],[f7840,f3]) ).

fof(f7840,plain,
    identity = multiply(multiply(inverse(c),greatest_lower_bound(identity,multiply(c,inverse(a)))),least_upper_bound(a,c)),
    inference(superposition,[],[f79,f7348]) ).

fof(f79,plain,
    ! [X2,X3] : identity = multiply(greatest_lower_bound(inverse(X2),inverse(X3)),least_upper_bound(X2,X3)),
    inference(superposition,[],[f2,f22]) ).

fof(f7380,plain,
    a != multiply(a,multiply(greatest_lower_bound(identity,multiply(inverse(a),c)),multiply(inverse(c),multiply(a,least_upper_bound(identity,multiply(inverse(a),c)))))),
    inference(forward_demodulation,[],[f7296,f3]) ).

fof(f7296,plain,
    a != multiply(multiply(a,greatest_lower_bound(identity,multiply(inverse(a),c))),multiply(inverse(c),multiply(a,least_upper_bound(identity,multiply(inverse(a),c))))),
    inference(backward_demodulation,[],[f6201,f7294]) ).

fof(f6201,plain,
    a != multiply(greatest_lower_bound(a,c),multiply(inverse(c),multiply(a,least_upper_bound(identity,multiply(inverse(a),c))))),
    inference(backward_demodulation,[],[f23,f6200]) ).

fof(f23,axiom,
    a != b,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_p12x) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem    : GRP181-4 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.00/0.11  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.11/0.32  % Computer : n018.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Mon Aug 29 22:24:54 EDT 2022
% 0.11/0.32  % CPUTime    : 
% 0.16/0.47  % (2771)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.16/0.47  % (2776)dis+10_1:1024_anc=all:drc=off:flr=on:fsr=off:sac=on:urr=on:i=292:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/292Mi)
% 0.16/0.47  % (2784)lrs+10_1:1024_drc=off:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/388Mi)
% 0.16/0.49  % (2787)dis+21_1:8_aac=none:bs=unit_only:er=filter:fd=off:nwc=5.0:s2pl=no:i=111:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/111Mi)
% 0.16/0.49  % (2779)dis+10_1:7_drc=off:fd=preordered:plsq=on:sp=reverse_frequency:to=lpo:i=212:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/212Mi)
% 0.16/0.50  % (2772)dis+31_8:1_br=off:fd=off:gs=on:lcm=reverse:nm=16:nwc=5.0:sp=reverse_arity:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.16/0.50  % (2792)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=381:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/381Mi)
% 0.16/0.51  % (2770)lrs+10_1:1_avsq=on:avsql=on:bsr=unit_only:drc=off:fsr=off:inw=on:nwc=10.0:rnwc=on:sgt=16:slsq=on:slsqc=0:slsql=off:slsqr=211,119:sp=reverse_frequency:spb=goal_then_units:ss=included:st=2.0:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.16/0.51  % (2764)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99788:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99788Mi)
% 0.16/0.51  % (2769)lrs+10_1:1_br=off:ep=RSTC:sos=all:urr=on:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.16/0.51  % (2767)lrs+10_1:1_amm=off:drc=off:sp=reverse_frequency:spb=goal_then_units:to=lpo:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.16/0.52  % (2767)Instruction limit reached!
% 0.16/0.52  % (2767)------------------------------
% 0.16/0.52  % (2767)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.52  % (2767)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.52  % (2767)Termination reason: Unknown
% 0.16/0.52  % (2767)Termination phase: Saturation
% 0.16/0.52  
% 0.16/0.52  % (2767)Memory used [KB]: 5500
% 0.16/0.52  % (2767)Time elapsed: 0.133 s
% 0.16/0.52  % (2767)Instructions burned: 6 (million)
% 0.16/0.52  % (2767)------------------------------
% 0.16/0.52  % (2767)------------------------------
% 0.16/0.52  % (2765)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=10:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/10Mi)
% 0.16/0.52  % (2768)lrs+10_1:1_drc=off:fd=preordered:plsq=on:sp=occurrence:to=lpo:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.16/0.53  % (2791)lrs+10_1:128_awrs=converge:awrsf=8:bd=off:drc=off:slsq=on:slsqc=1:slsql=off:slsqr=40,29:i=495:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/495Mi)
% 0.16/0.53  % (2771)Instruction limit reached!
% 0.16/0.53  % (2771)------------------------------
% 0.16/0.53  % (2771)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.53  % (2771)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.53  % (2771)Termination reason: Unknown
% 0.16/0.53  % (2771)Termination phase: Saturation
% 0.16/0.53  
% 0.16/0.53  % (2771)Memory used [KB]: 6268
% 0.16/0.53  % (2771)Time elapsed: 0.114 s
% 0.16/0.53  % (2771)Instructions burned: 33 (million)
% 0.16/0.53  % (2771)------------------------------
% 0.16/0.53  % (2771)------------------------------
% 0.16/0.53  % (2770)Instruction limit reached!
% 0.16/0.53  % (2770)------------------------------
% 0.16/0.53  % (2770)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.53  % (2770)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.53  % (2770)Termination reason: Unknown
% 0.16/0.53  % (2770)Termination phase: Saturation
% 0.16/0.53  
% 0.16/0.53  % (2770)Memory used [KB]: 5628
% 0.16/0.53  % (2770)Time elapsed: 0.147 s
% 0.16/0.53  % (2770)Instructions burned: 8 (million)
% 0.16/0.53  % (2770)------------------------------
% 0.16/0.53  % (2770)------------------------------
% 0.16/0.53  % (2789)lrs+10_1:2_bd=preordered:drc=off:fd=preordered:fde=unused:sp=const_min:to=lpo:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.16/0.53  % (2790)dis+10_1:1024_av=off:bd=preordered:drc=off:nwc=3.0:rp=on:thsq=on:thsqc=64:thsqd=32:to=lpo:i=267:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/267Mi)
% 0.16/0.54  % (2783)lrs+10_1:128_bd=off:drc=off:fd=preordered:nwc=1.6:urr=on:i=103:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/103Mi)
% 0.16/0.54  % (2785)dis+11_1:64_fd=off:nm=0:nwc=5.0:i=481:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/481Mi)
% 0.16/0.54  % (2788)dis+10_1:1_av=off:drc=off:slsq=on:slsqc=1:slsqr=29,16:sp=reverse_frequency:to=lpo:i=248:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/248Mi)
% 0.16/0.54  % (2782)lrs+1011_1:1_asg=cautious:bsr=on:cond=on:drc=off:etr=on:fd=preordered:gs=on:plsq=on:plsqr=388,511:slsq=on:slsqc=1:slsqr=21,31:urr=on:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.16/0.54  % (2781)lrs+10_1:1_br=off:flr=on:slsq=on:slsqc=1:sp=frequency:urr=on:i=257:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/257Mi)
% 0.16/0.54  % (2774)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.16/0.55  % (2765)Instruction limit reached!
% 0.16/0.55  % (2765)------------------------------
% 0.16/0.55  % (2765)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.55  % (2765)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.55  % (2765)Termination reason: Unknown
% 0.16/0.55  % (2765)Termination phase: Saturation
% 0.16/0.55  
% 0.16/0.55  % (2765)Memory used [KB]: 5756
% 0.16/0.55  % (2765)Time elapsed: 0.165 s
% 0.16/0.55  % (2765)Instructions burned: 11 (million)
% 0.16/0.55  % (2765)------------------------------
% 0.16/0.55  % (2765)------------------------------
% 0.16/0.55  % (2777)dis+2_1:1024_abs=on:alpa=false:anc=all_dependent:avsq=on:bce=on:drc=off:newcnf=on:slsq=on:slsqc=0:slsqr=1,1:sp=reverse_arity:i=353:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/353Mi)
% 0.16/0.55  % (2766)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.16/0.55  % (2786)lrs+10_5:1_br=off:ep=RSTC:sos=all:urr=on:i=267:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/267Mi)
% 0.16/0.55  % (2780)lrs+10_1:1_drc=off:fd=preordered:plsq=on:sp=occurrence:to=lpo:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.16/0.56  % (2793)lrs+10_1:1_drc=off:fd=preordered:plsq=on:sp=occurrence:to=lpo:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.16/0.56  % (2775)lrs+10_1:1_drc=off:fd=preordered:plsq=on:sp=occurrence:to=lpo:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.16/0.57  % (2773)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.16/0.57  % (2769)Instruction limit reached!
% 0.16/0.57  % (2769)------------------------------
% 0.16/0.57  % (2769)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.57  % (2769)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.57  % (2769)Termination reason: Unknown
% 0.16/0.57  % (2769)Termination phase: Saturation
% 0.16/0.57  
% 0.16/0.57  % (2769)Memory used [KB]: 6012
% 0.16/0.57  % (2769)Time elapsed: 0.166 s
% 0.16/0.57  % (2769)Instructions burned: 21 (million)
% 0.16/0.57  % (2769)------------------------------
% 0.16/0.57  % (2769)------------------------------
% 0.16/0.57  % (2778)lrs+10_1:128_plsq=on:plsqc=2:s2a=on:ss=axioms:st=1.5:urr=on:i=321:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/321Mi)
% 0.16/0.58  % (2772)Instruction limit reached!
% 0.16/0.58  % (2772)------------------------------
% 0.16/0.58  % (2772)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.58  % (2772)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.58  % (2772)Termination reason: Unknown
% 0.16/0.58  % (2772)Termination phase: Saturation
% 0.16/0.58  
% 0.16/0.58  % (2772)Memory used [KB]: 11001
% 0.16/0.58  % (2772)Time elapsed: 0.198 s
% 0.16/0.58  % (2772)Instructions burned: 38 (million)
% 0.16/0.58  % (2772)------------------------------
% 0.16/0.58  % (2772)------------------------------
% 2.27/0.63  % (2774)Instruction limit reached!
% 2.27/0.63  % (2774)------------------------------
% 2.27/0.63  % (2774)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.27/0.63  % (2774)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.27/0.63  % (2774)Termination reason: Unknown
% 2.27/0.63  % (2774)Termination phase: Saturation
% 2.27/0.63  
% 2.27/0.63  % (2774)Memory used [KB]: 6780
% 2.27/0.63  % (2774)Time elapsed: 0.207 s
% 2.27/0.63  % (2774)Instructions burned: 37 (million)
% 2.27/0.63  % (2774)------------------------------
% 2.27/0.63  % (2774)------------------------------
% 2.27/0.63  % (2768)Instruction limit reached!
% 2.27/0.63  % (2768)------------------------------
% 2.27/0.63  % (2768)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.27/0.64  % (2768)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.27/0.64  % (2768)Termination reason: Unknown
% 2.27/0.64  % (2768)Termination phase: Saturation
% 2.27/0.64  
% 2.27/0.64  % (2768)Memory used [KB]: 6140
% 2.27/0.64  % (2768)Time elapsed: 0.232 s
% 2.27/0.64  % (2768)Instructions burned: 48 (million)
% 2.27/0.64  % (2768)------------------------------
% 2.27/0.64  % (2768)------------------------------
% 2.27/0.66  % (2766)Instruction limit reached!
% 2.27/0.66  % (2766)------------------------------
% 2.27/0.66  % (2766)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.27/0.66  % (2793)Instruction limit reached!
% 2.27/0.66  % (2793)------------------------------
% 2.27/0.66  % (2793)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.60/0.67  % (2775)Instruction limit reached!
% 2.60/0.67  % (2775)------------------------------
% 2.60/0.67  % (2775)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.60/0.67  % (2780)Instruction limit reached!
% 2.60/0.67  % (2780)------------------------------
% 2.60/0.67  % (2780)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.60/0.67  % (2780)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.60/0.67  % (2780)Termination reason: Unknown
% 2.60/0.67  % (2780)Termination phase: Saturation
% 2.60/0.67  
% 2.60/0.67  % (2780)Memory used [KB]: 6140
% 2.60/0.67  % (2780)Time elapsed: 0.287 s
% 2.60/0.67  % (2780)Instructions burned: 49 (million)
% 2.60/0.67  % (2780)------------------------------
% 2.60/0.67  % (2780)------------------------------
% 2.60/0.67  % (2793)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.60/0.67  % (2793)Termination reason: Unknown
% 2.60/0.67  % (2793)Termination phase: Saturation
% 2.60/0.67  
% 2.60/0.67  % (2793)Memory used [KB]: 6140
% 2.60/0.67  % (2793)Time elapsed: 0.262 s
% 2.60/0.67  % (2793)Instructions burned: 48 (million)
% 2.60/0.67  % (2793)------------------------------
% 2.60/0.67  % (2793)------------------------------
% 2.60/0.67  % (2775)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.60/0.67  % (2775)Termination reason: Unknown
% 2.60/0.67  % (2775)Termination phase: Saturation
% 2.60/0.67  
% 2.60/0.67  % (2775)Memory used [KB]: 6268
% 2.60/0.67  % (2775)Time elapsed: 0.281 s
% 2.60/0.67  % (2775)Instructions burned: 48 (million)
% 2.60/0.67  % (2775)------------------------------
% 2.60/0.67  % (2775)------------------------------
% 2.60/0.67  % (2773)Instruction limit reached!
% 2.60/0.67  % (2773)------------------------------
% 2.60/0.67  % (2773)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.60/0.67  % (2766)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.60/0.67  % (2766)Termination reason: Unknown
% 2.60/0.67  % (2766)Termination phase: Saturation
% 2.60/0.67  
% 2.60/0.67  % (2766)Memory used [KB]: 6652
% 2.60/0.67  % (2766)Time elapsed: 0.194 s
% 2.60/0.67  % (2766)Instructions burned: 37 (million)
% 2.60/0.67  % (2766)------------------------------
% 2.60/0.67  % (2766)------------------------------
% 2.60/0.67  % (2773)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.60/0.67  % (2773)Termination reason: Unknown
% 2.60/0.67  % (2773)Termination phase: Saturation
% 2.60/0.67  
% 2.60/0.67  % (2773)Memory used [KB]: 6652
% 2.60/0.67  % (2773)Time elapsed: 0.235 s
% 2.60/0.67  % (2773)Instructions burned: 47 (million)
% 2.60/0.67  % (2773)------------------------------
% 2.60/0.67  % (2773)------------------------------
% 2.60/0.69  % (2787)Instruction limit reached!
% 2.60/0.69  % (2787)------------------------------
% 2.60/0.69  % (2787)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.60/0.69  % (2787)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.60/0.69  % (2787)Termination reason: Unknown
% 2.60/0.69  % (2787)Termination phase: Saturation
% 2.60/0.69  
% 2.60/0.69  % (2787)Memory used [KB]: 7164
% 2.60/0.69  % (2787)Time elapsed: 0.292 s
% 2.60/0.69  % (2787)Instructions burned: 112 (million)
% 2.60/0.69  % (2787)------------------------------
% 2.60/0.69  % (2787)------------------------------
% 2.60/0.71  % (2795)lrs+10_1:3_acc=on:amm=off:avsq=on:avsqr=1729,253:bs=on:drc=off:fsr=off:lwlo=on:sac=on:slsq=on:slsqc=2:slsql=off:slsqr=1,8:sp=weighted_frequency:i=463:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/463Mi)
% 3.24/0.77  % (2796)lrs+10_1:1_avsq=on:avsql=on:bsr=unit_only:drc=off:fsr=off:inw=on:nwc=10.0:rnwc=on:sgt=16:slsq=on:slsqc=0:slsql=off:slsqr=211,119:sp=reverse_frequency:spb=goal_then_units:ss=included:st=2.0:to=lpo:i=292:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/292Mi)
% 3.24/0.78  % (2783)Instruction limit reached!
% 3.24/0.78  % (2783)------------------------------
% 3.24/0.78  % (2783)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.24/0.78  % (2783)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.24/0.78  % (2783)Termination reason: Unknown
% 3.24/0.78  % (2783)Termination phase: Saturation
% 3.24/0.78  
% 3.24/0.78  % (2783)Memory used [KB]: 6780
% 3.24/0.78  % (2783)Time elapsed: 0.379 s
% 3.24/0.78  % (2783)Instructions burned: 104 (million)
% 3.24/0.78  % (2783)------------------------------
% 3.24/0.78  % (2783)------------------------------
% 3.24/0.78  % (2797)lrs+1011_1:1_asg=cautious:bsr=on:cond=on:drc=off:etr=on:fd=preordered:gs=on:plsq=on:plsqr=388,511:slsq=on:slsqc=1:slsqr=21,31:urr=on:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/439Mi)
% 3.24/0.78  % (2794)lrs+10_1:1_br=off:flr=on:slsq=on:slsqc=1:sp=frequency:urr=on:i=257:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/257Mi)
% 3.24/0.79  % (2799)lrs+10_1:512_av=off:awrs=converge:awrsf=8:bd=preordered:br=off:bsr=unit_only:drc=off:erd=off:foolp=on:fsd=on:gve=cautious:irw=on:kmz=on:kws=arity_squared:lcm=reverse:newcnf=on:nwc=5.0:plsq=on:plsqc=2:plsql=on:plsqr=9798671,477100:slsq=on:slsqc=1:slsqr=1,16:sp=weighted_frequency:spb=intro:tgt=full:updr=off:urr=on:uwa=ground:i=496:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/496Mi)
% 3.24/0.81  % (2798)ott+10_1:1_bd=preordered:drc=off:fde=unused:slsq=on:slsqr=10,31:sp=const_min:tgt=ground:to=lpo:urr=ec_only:i=402:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/402Mi)
% 3.66/0.86  % (2779)Instruction limit reached!
% 3.66/0.86  % (2779)------------------------------
% 3.66/0.86  % (2779)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.66/0.86  % (2779)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.66/0.86  % (2779)Termination reason: Unknown
% 3.66/0.86  % (2779)Termination phase: Saturation
% 3.66/0.86  
% 3.66/0.86  % (2779)Memory used [KB]: 8443
% 3.66/0.86  % (2779)Time elapsed: 0.471 s
% 3.66/0.86  % (2779)Instructions burned: 212 (million)
% 3.66/0.86  % (2779)------------------------------
% 3.66/0.86  % (2779)------------------------------
% 3.66/0.87  % (2801)dis+10_1:1_av=off:drc=off:slsq=on:slsqc=1:slsqr=29,16:sp=reverse_frequency:to=lpo:i=248:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/248Mi)
% 3.66/0.88  % (2800)lrs+10_1:1_drc=off:s2a=on:s2agt=8:sp=reverse_arity:to=lpo:i=312:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/312Mi)
% 3.66/0.88  % (2804)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=381:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/381Mi)
% 3.66/0.88  % (2807)lrs+10_2:1_bd=preordered:bsr=unit_only:drc=off:fd=preordered:fde=none:lwlo=on:sp=reverse_frequency:ss=axioms:st=3.0:to=lpo:i=1575:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/1575Mi)
% 3.66/0.88  % (2802)lrs+10_1:2_bd=preordered:drc=off:fd=preordered:fde=unused:sp=const_min:to=lpo:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/177Mi)
% 3.66/0.88  % (2803)lrs+10_1:128_awrs=converge:awrsf=8:bd=off:drc=off:slsq=on:slsqc=1:slsql=off:slsqr=40,29:i=1598:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/1598Mi)
% 3.66/0.91  % (2805)lrs+10_1:32_s2a=on:s2agt=10:sgt=8:ss=axioms:i=1242:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/1242Mi)
% 3.66/0.92  % (2806)lrs+1011_1:92_abs=on:amm=sco:anc=all:avsq=on:avsqc=1:avsql=on:avsqr=41,14:awrs=converge:awrsf=170:bd=preordered:bs=on:bsr=unit_only:erd=off:fd=preordered:irw=on:lcm=reverse:lwlo=on:newcnf=on:nicw=on:nwc=4.0:s2a=on:s2agt=64:sas=z3:sims=off:sp=frequency:to=lpo:urr=on:i=629:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/629Mi)
% 3.99/0.96  % (2776)Instruction limit reached!
% 3.99/0.96  % (2776)------------------------------
% 3.99/0.96  % (2776)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.99/0.96  % (2789)Instruction limit reached!
% 3.99/0.96  % (2789)------------------------------
% 3.99/0.96  % (2789)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.99/0.96  % (2789)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.99/0.96  % (2789)Termination reason: Unknown
% 3.99/0.96  % (2789)Termination phase: Saturation
% 3.99/0.96  
% 3.99/0.96  % (2789)Memory used [KB]: 7419
% 3.99/0.96  % (2789)Time elapsed: 0.529 s
% 3.99/0.96  % (2789)Instructions burned: 177 (million)
% 3.99/0.96  % (2789)------------------------------
% 3.99/0.96  % (2789)------------------------------
% 4.18/0.97  % (2776)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.18/0.97  % (2776)Termination reason: Unknown
% 4.18/0.97  % (2776)Termination phase: Saturation
% 4.18/0.97  
% 4.18/0.97  % (2776)Memory used [KB]: 9722
% 4.18/0.97  % (2776)Time elapsed: 0.576 s
% 4.18/0.97  % (2776)Instructions burned: 292 (million)
% 4.18/0.97  % (2776)------------------------------
% 4.18/0.97  % (2776)------------------------------
% 4.18/1.03  % (2808)lrs+10_1:8_anc=all_dependent:atotf=0.2:drc=off:fde=unused:nicw=on:nwc=3.0:sas=z3:slsq=on:slsqc=1:slsqr=3,2:sp=reverse_frequency:i=4955:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4955Mi)
% 4.54/1.05  % (2788)Instruction limit reached!
% 4.54/1.05  % (2788)------------------------------
% 4.54/1.05  % (2788)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.54/1.05  % (2788)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.54/1.05  % (2788)Termination reason: Unknown
% 4.54/1.05  % (2788)Termination phase: Saturation
% 4.54/1.05  
% 4.54/1.05  % (2788)Memory used [KB]: 5500
% 4.54/1.05  % (2788)Time elapsed: 0.646 s
% 4.54/1.05  % (2788)Instructions burned: 248 (million)
% 4.54/1.05  % (2788)------------------------------
% 4.54/1.05  % (2788)------------------------------
% 4.54/1.06  % (2809)ott+21_1:1_bd=off:bsr=unit_only:drc=off:fd=preordered:fsr=off:nwc=3.0:sac=on:to=lpo:urr=on:i=1429:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/1429Mi)
% 4.66/1.09  % (2784)Instruction limit reached!
% 4.66/1.09  % (2784)------------------------------
% 4.66/1.09  % (2784)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.66/1.09  % (2784)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.66/1.09  % (2784)Termination reason: Unknown
% 4.66/1.09  % (2784)Termination phase: Saturation
% 4.66/1.09  
% 4.66/1.09  % (2784)Memory used [KB]: 10234
% 4.66/1.09  % (2784)Time elapsed: 0.698 s
% 4.66/1.09  % (2784)Instructions burned: 388 (million)
% 4.66/1.09  % (2784)------------------------------
% 4.66/1.09  % (2784)------------------------------
% 4.66/1.09  % (2790)Instruction limit reached!
% 4.66/1.09  % (2790)------------------------------
% 4.66/1.09  % (2790)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.66/1.09  % (2790)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.66/1.09  % (2790)Termination reason: Unknown
% 4.66/1.09  % (2790)Termination phase: Saturation
% 4.66/1.09  
% 4.66/1.09  % (2790)Memory used [KB]: 5245
% 4.66/1.09  % (2790)Time elapsed: 0.706 s
% 4.66/1.09  % (2790)Instructions burned: 268 (million)
% 4.66/1.09  % (2790)------------------------------
% 4.66/1.09  % (2790)------------------------------
% 4.66/1.15  % (2792)Instruction limit reached!
% 4.66/1.15  % (2792)------------------------------
% 4.66/1.15  % (2792)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.66/1.15  % (2792)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.66/1.15  % (2792)Termination reason: Unknown
% 4.66/1.15  % (2792)Termination phase: Saturation
% 4.66/1.15  
% 4.66/1.15  % (2792)Memory used [KB]: 12537
% 4.66/1.15  % (2792)Time elapsed: 0.765 s
% 4.66/1.15  % (2792)Instructions burned: 381 (million)
% 4.66/1.15  % (2792)------------------------------
% 4.66/1.15  % (2792)------------------------------
% 6.39/1.16  % (2781)Instruction limit reached!
% 6.39/1.16  % (2781)------------------------------
% 6.39/1.16  % (2781)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.39/1.16  % (2781)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.39/1.16  % (2781)Termination reason: Unknown
% 6.39/1.16  % (2781)Termination phase: Saturation
% 6.39/1.16  
% 6.39/1.16  % (2781)Memory used [KB]: 8443
% 6.39/1.16  % (2781)Time elapsed: 0.738 s
% 6.39/1.16  % (2781)Instructions burned: 258 (million)
% 6.39/1.16  % (2781)------------------------------
% 6.39/1.16  % (2781)------------------------------
% 6.71/1.21  % (2810)lrs+1010_1:173_acc=on:aer=off:alpa=true:anc=none:avsq=on:avsqr=497233,912204:awrs=decay:awrsf=4:bce=on:bs=on:bsd=on:cond=on:drc=off:erd=off:flr=on:gsp=on:nicw=on:nm=16:nwc=3.0:sd=2:sfv=off:skr=on:sp=reverse_arity:ss=axioms:st=2.0:updr=off:urr=ec_only:i=2989:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/2989Mi)
% 6.71/1.21  % (2814)lrs+10_1:1_avsq=on:avsql=on:bsr=unit_only:drc=off:fsr=off:inw=on:nwc=10.0:rnwc=on:sgt=16:slsq=on:slsqc=0:slsql=off:slsqr=211,119:sp=reverse_frequency:spb=goal_then_units:ss=included:st=2.0:to=lpo:i=290:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/290Mi)
% 7.29/1.28  % (2816)ott+10_1:1_bd=preordered:drc=off:fde=unused:slsq=on:slsqr=10,31:sp=const_min:tgt=ground:to=lpo:urr=ec_only:i=2797:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/2797Mi)
% 7.29/1.29  % (2802)Instruction limit reached!
% 7.29/1.29  % (2802)------------------------------
% 7.29/1.29  % (2802)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.29/1.29  % (2802)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.29/1.29  % (2802)Termination reason: Unknown
% 7.29/1.29  % (2802)Termination phase: Saturation
% 7.29/1.29  
% 7.29/1.29  % (2802)Memory used [KB]: 7419
% 7.29/1.29  % (2802)Time elapsed: 0.579 s
% 7.29/1.29  % (2802)Instructions burned: 177 (million)
% 7.29/1.29  % (2802)------------------------------
% 7.29/1.29  % (2802)------------------------------
% 7.29/1.30  % (2813)lrs+10_1:16_drc=off:fde=none:spb=goal_then_units:to=lpo:i=1345:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/1345Mi)
% 7.29/1.31  % (2786)Instruction limit reached!
% 7.29/1.31  % (2786)------------------------------
% 7.29/1.31  % (2786)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.29/1.31  % (2786)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.29/1.31  % (2786)Termination reason: Unknown
% 7.29/1.31  % (2786)Termination phase: Saturation
% 7.29/1.31  
% 7.29/1.31  % (2786)Memory used [KB]: 11897
% 7.29/1.31  % (2786)Time elapsed: 0.909 s
% 7.29/1.31  % (2786)Instructions burned: 267 (million)
% 7.29/1.31  % (2786)------------------------------
% 7.29/1.31  % (2786)------------------------------
% 7.62/1.32  % (2777)Instruction limit reached!
% 7.62/1.32  % (2777)------------------------------
% 7.62/1.32  % (2777)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.62/1.32  % (2777)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.62/1.32  % (2777)Termination reason: Unknown
% 7.62/1.32  % (2777)Termination phase: Saturation
% 7.62/1.32  
% 7.62/1.32  % (2777)Memory used [KB]: 11129
% 7.62/1.32  % (2777)Time elapsed: 0.940 s
% 7.62/1.32  % (2777)Instructions burned: 353 (million)
% 7.62/1.32  % (2777)------------------------------
% 7.62/1.32  % (2777)------------------------------
% 7.62/1.33  % (2811)lrs+10_6339:827045_acc=on:anc=all:awrs=decay:awrsf=1:bce=on:br=off:bs=unit_only:cond=on:foolp=on:nicw=on:nwc=2.0:s2a=on:s2agt=8:sd=1:sgt=16:sp=occurrence:ss=axioms:st=1.2:updr=off:urr=on:uwa=all:i=2096:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/2096Mi)
% 7.91/1.36  % (2815)dis+2_1:1_av=off:flr=on:plsq=on:plsqc=1:plsqr=32,1:sp=reverse_frequency:to=lpo:urr=ec_only:uwa=all:i=4705:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/4705Mi)
% 7.91/1.41  % (2817)dis+1011_1:32_tgt=ground:i=4929:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/4929Mi)
% 7.91/1.41  % (2801)Instruction limit reached!
% 7.91/1.41  % (2801)------------------------------
% 7.91/1.41  % (2801)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.91/1.41  % (2801)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.91/1.41  % (2801)Termination reason: Unknown
% 7.91/1.41  % (2801)Termination phase: Saturation
% 7.91/1.41  
% 7.91/1.41  % (2801)Memory used [KB]: 5500
% 7.91/1.41  % (2801)Time elapsed: 0.715 s
% 7.91/1.41  % (2801)Instructions burned: 249 (million)
% 7.91/1.41  % (2801)------------------------------
% 7.91/1.41  % (2801)------------------------------
% 7.91/1.41  % (2796)Instruction limit reached!
% 7.91/1.41  % (2796)------------------------------
% 7.91/1.41  % (2796)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.91/1.41  % (2796)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.91/1.41  % (2796)Termination reason: Unknown
% 7.91/1.41  % (2796)Termination phase: Saturation
% 7.91/1.41  
% 7.91/1.41  % (2796)Memory used [KB]: 10490
% 7.91/1.41  % (2796)Time elapsed: 0.828 s
% 7.91/1.41  % (2796)Instructions burned: 293 (million)
% 7.91/1.41  % (2796)------------------------------
% 7.91/1.41  % (2796)------------------------------
% 8.27/1.47  % (2778)Instruction limit reached!
% 8.27/1.47  % (2778)------------------------------
% 8.27/1.47  % (2778)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.27/1.47  % (2778)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.27/1.47  % (2778)Termination reason: Unknown
% 8.27/1.47  % (2778)Termination phase: Saturation
% 8.27/1.47  
% 8.27/1.47  % (2778)Memory used [KB]: 9978
% 8.27/1.47  % (2778)Time elapsed: 1.066 s
% 8.27/1.47  % (2778)Instructions burned: 321 (million)
% 8.27/1.47  % (2778)------------------------------
% 8.27/1.47  % (2778)------------------------------
% 8.76/1.54  % (2814)Instruction limit reached!
% 8.76/1.54  % (2814)------------------------------
% 8.76/1.54  % (2814)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.76/1.54  % (2814)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.76/1.54  % (2814)Termination reason: Unknown
% 8.76/1.54  % (2814)Termination phase: Saturation
% 8.76/1.54  
% 8.76/1.54  % (2814)Memory used [KB]: 9978
% 8.76/1.54  % (2814)Time elapsed: 0.350 s
% 8.76/1.54  % (2794)Instruction limit reached!
% 8.76/1.54  % (2794)------------------------------
% 8.76/1.54  % (2794)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.76/1.54  % (2794)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.76/1.54  % (2794)Termination reason: Unknown
% 8.76/1.54  % (2794)Termination phase: Saturation
% 8.76/1.54  
% 8.76/1.54  % (2794)Memory used [KB]: 8443
% 8.76/1.54  % (2794)Time elapsed: 0.939 s
% 8.76/1.54  % (2794)Instructions burned: 257 (million)
% 8.76/1.54  % (2794)------------------------------
% 8.76/1.54  % (2794)------------------------------
% 8.76/1.54  % (2814)Instructions burned: 291 (million)
% 8.76/1.54  % (2814)------------------------------
% 8.76/1.54  % (2814)------------------------------
% 8.76/1.54  % (2818)lrs+10_1:1_drc=off:s2a=on:s2agt=8:sp=reverse_arity:to=lpo:i=1841:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/1841Mi)
% 9.18/1.56  % (2791)Instruction limit reached!
% 9.18/1.56  % (2791)------------------------------
% 9.18/1.56  % (2791)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 9.18/1.56  % (2791)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 9.18/1.56  % (2791)Termination reason: Unknown
% 9.18/1.56  % (2791)Termination phase: Saturation
% 9.18/1.56  
% 9.18/1.56  % (2791)Memory used [KB]: 14072
% 9.18/1.56  % (2791)Time elapsed: 1.183 s
% 9.18/1.56  % (2791)Instructions burned: 495 (million)
% 9.18/1.56  % (2791)------------------------------
% 9.18/1.56  % (2791)------------------------------
% 9.26/1.57  % (2819)dis+1011_1:16_acc=on:drc=off:fd=preordered:fsd=on:nwc=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,16:thsq=on:thsqc=16:thsqd=16:urr=on:i=4917:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/4917Mi)
% 9.26/1.57  % (2795)Instruction limit reached!
% 9.26/1.57  % (2795)------------------------------
% 9.26/1.57  % (2795)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 9.26/1.57  % (2795)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 9.26/1.57  % (2795)Termination reason: Unknown
% 9.26/1.57  % (2795)Termination phase: Saturation
% 9.26/1.57  
% 9.26/1.57  % (2795)Memory used [KB]: 12409
% 9.26/1.57  % (2795)Time elapsed: 0.924 s
% 9.26/1.57  % (2795)Instructions burned: 464 (million)
% 9.26/1.57  % (2795)------------------------------
% 9.26/1.57  % (2795)------------------------------
% 9.26/1.58  % (2782)Instruction limit reached!
% 9.26/1.58  % (2782)------------------------------
% 9.26/1.58  % (2782)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 9.26/1.58  % (2782)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 9.26/1.58  % (2782)Termination reason: Unknown
% 9.26/1.58  % (2782)Termination phase: Saturation
% 9.26/1.58  
% 9.26/1.58  % (2782)Memory used [KB]: 16758
% 9.26/1.58  % (2782)Time elapsed: 1.153 s
% 9.26/1.58  % (2782)Instructions burned: 440 (million)
% 9.26/1.58  % (2782)------------------------------
% 9.26/1.58  % (2782)------------------------------
% 9.26/1.60  % (2800)Instruction limit reached!
% 9.26/1.60  % (2800)------------------------------
% 9.26/1.60  % (2800)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 9.26/1.60  % (2800)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 9.26/1.60  % (2800)Termination reason: Unknown
% 9.26/1.60  % (2800)Termination phase: Saturation
% 9.26/1.60  
% 9.26/1.60  % (2800)Memory used [KB]: 8699
% 9.26/1.60  % (2800)Time elapsed: 0.895 s
% 9.26/1.60  % (2800)Instructions burned: 312 (million)
% 9.26/1.60  % (2800)------------------------------
% 9.26/1.60  % (2800)------------------------------
% 9.50/1.66  % (2821)lrs+1011_2:1_av=off:irw=on:lwlo=on:newcnf=on:nm=16:nwc=2:sd=4:sp=occurrence:ss=axioms:st=3.0:i=1314:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/1314Mi)
% 10.54/1.67  % (2822)dis+10_1:1024_av=off:bd=preordered:drc=off:nwc=3.0:rp=on:thsq=on:thsqc=64:thsqd=32:to=lpo:i=620:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/620Mi)
% 10.54/1.67  % (2826)lrs+10_8:1_bd=preordered:drc=off:fd=preordered:sp=reverse_frequency:i=4700:si=on:rawr=on:rtra=on_0 on theBenchmark for (2987ds/4700Mi)
% 10.54/1.68  % (2820)dis+10_1:1_av=off:drc=off:slsq=on:slsqc=1:slsqr=29,16:sp=reverse_frequency:to=lpo:i=248:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/248Mi)
% 10.54/1.70  % (2785)Instruction limit reached!
% 10.54/1.70  % (2785)------------------------------
% 10.54/1.70  % (2785)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 10.54/1.70  % (2785)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 10.54/1.70  % (2785)Termination reason: Unknown
% 10.54/1.70  % (2785)Termination phase: Saturation
% 10.54/1.70  
% 10.54/1.70  % (2785)Memory used [KB]: 9850
% 10.54/1.70  % (2785)Time elapsed: 1.313 s
% 10.54/1.70  % (2785)Instructions burned: 481 (million)
% 10.54/1.70  % (2785)------------------------------
% 10.54/1.70  % (2785)------------------------------
% 11.26/1.76  % (2829)ott+21_1:1_bd=off:bsr=unit_only:drc=off:fd=preordered:fsr=off:nwc=3.0:sac=on:to=lpo:urr=on:i=875:si=on:rawr=on:rtra=on_0 on theBenchmark for (2987ds/875Mi)
% 11.26/1.76  % (2798)Instruction limit reached!
% 11.26/1.76  % (2798)------------------------------
% 11.26/1.76  % (2798)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.26/1.76  % (2798)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.26/1.76  % (2798)Termination reason: Unknown
% 11.26/1.76  % (2798)Termination phase: Saturation
% 11.26/1.76  
% 11.26/1.76  % (2798)Memory used [KB]: 11513
% 11.26/1.76  % (2798)Time elapsed: 1.130 s
% 11.26/1.76  % (2798)Instructions burned: 402 (million)
% 11.26/1.76  % (2798)------------------------------
% 11.26/1.76  % (2798)------------------------------
% 11.26/1.77  % (2804)Instruction limit reached!
% 11.26/1.77  % (2804)------------------------------
% 11.26/1.77  % (2804)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.26/1.77  % (2804)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.26/1.77  % (2804)Termination reason: Unknown
% 11.26/1.77  % (2804)Termination phase: Saturation
% 11.26/1.77  
% 11.26/1.77  % (2804)Memory used [KB]: 12281
% 11.26/1.77  % (2804)Time elapsed: 1.016 s
% 11.26/1.77  % (2804)Instructions burned: 381 (million)
% 11.26/1.77  % (2804)------------------------------
% 11.26/1.77  % (2804)------------------------------
% 11.26/1.80  % (2827)lrs+10_1:12_drc=off:ins=1:sp=frequency:spb=goal_then_units:i=4963:si=on:rawr=on:rtra=on_0 on theBenchmark for (2987ds/4963Mi)
% 11.62/1.81  % (2797)Instruction limit reached!
% 11.62/1.81  % (2797)------------------------------
% 11.62/1.81  % (2797)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.62/1.81  % (2797)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.62/1.81  % (2797)Termination reason: Unknown
% 11.62/1.81  % (2797)Termination phase: Saturation
% 11.62/1.81  
% 11.62/1.81  % (2797)Memory used [KB]: 15479
% 11.62/1.81  % (2797)Time elapsed: 1.205 s
% 11.62/1.81  % (2797)Instructions burned: 439 (million)
% 11.62/1.81  % (2797)------------------------------
% 11.62/1.81  % (2797)------------------------------
% 11.62/1.82  % (2824)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=381:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/381Mi)
% 11.62/1.84  % (2828)dis+10_1:64_s2a=on:s2agt=16:slsq=on:slsqc=1:slsqr=1,1:i=3884:si=on:rawr=on:rtra=on_0 on theBenchmark for (2987ds/3884Mi)
% 11.94/1.85  % (2830)lrs+2_1:128_awrs=decay:awrsf=20:drc=off:fsd=on:lwlo=on:nm=2:nwc=1.94:spb=units:thsq=on:thsqc=32:thsqd=32:thsqr=4,7:i=2970:si=on:rawr=on:rtra=on_0 on theBenchmark for (2987ds/2970Mi)
% 11.94/1.87  % (2825)lrs+10_1:32_s2a=on:s2agt=10:sgt=8:ss=axioms:i=1242:si=on:rawr=on:rtra=on_0 on theBenchmark for (2987ds/1242Mi)
% 12.56/1.95  % (2831)lrs+10_1:1_avsq=on:avsql=on:bsr=unit_only:drc=off:fsr=off:inw=on:nwc=10.0:rnwc=on:sgt=16:slsq=on:slsqc=0:slsql=off:slsqr=211,119:sp=reverse_frequency:spb=goal_then_units:ss=included:st=2.0:to=lpo:i=290:si=on:rawr=on:rtra=on_0 on theBenchmark for (2986ds/290Mi)
% 12.56/1.96  % (2832)lrs+11_26459:191296_av=off:awrs=converge:awrsf=30:bd=preordered:bs=unit_only:drc=off:etr=on:flr=on:lwlo=on:nwc=5.0:plsq=on:plsqc=1:plsql=on:plsqr=1,32:skr=on:slsq=on:slsqr=18,107:sp=const_min:tgt=ground:to=lpo:urr=ec_only:i=3607:si=on:rawr=on:rtra=on_0 on theBenchmark for (2985ds/3607Mi)
% 12.56/1.96  % (2799)Instruction limit reached!
% 12.56/1.96  % (2799)------------------------------
% 12.56/1.96  % (2799)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 12.56/1.96  % (2799)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 12.56/1.96  % (2799)Termination reason: Unknown
% 12.56/1.96  % (2799)Termination phase: Saturation
% 12.56/1.96  
% 12.56/1.96  % (2799)Memory used [KB]: 7547
% 12.56/1.96  % (2799)Time elapsed: 1.298 s
% 12.56/1.96  % (2799)Instructions burned: 496 (million)
% 12.56/1.96  % (2799)------------------------------
% 12.56/1.96  % (2799)------------------------------
% 12.87/2.02  % (2833)dis+10_1:1_drc=off:fd=preordered:tgt=full:to=lpo:i=2934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2985ds/2934Mi)
% 13.29/2.09  % (2834)dis+1011_1:16_acc=on:drc=off:fd=preordered:fsd=on:nwc=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,16:thsq=on:thsqc=16:thsqd=16:urr=on:i=4940:si=on:rawr=on:rtra=on_0 on theBenchmark for (2985ds/4940Mi)
% 13.93/2.21  % (2835)lrs+1002_1:1024_drc=off:ins=1:nwc=5.0:slsq=on:slsqc=1:slsql=off:slsqr=1,8:urr=on:uwa=all:i=4546:si=on:rawr=on:rtra=on_0 on theBenchmark for (2983ds/4546Mi)
% 15.55/2.37  % (2820)Instruction limit reached!
% 15.55/2.37  % (2820)------------------------------
% 15.55/2.37  % (2820)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 15.55/2.37  % (2820)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 15.55/2.37  % (2820)Termination reason: Unknown
% 15.55/2.37  % (2820)Termination phase: Saturation
% 15.55/2.37  
% 15.55/2.37  % (2820)Memory used [KB]: 5500
% 15.55/2.37  % (2820)Time elapsed: 0.935 s
% 15.55/2.37  % (2820)Instructions burned: 249 (million)
% 15.55/2.37  % (2820)------------------------------
% 15.55/2.37  % (2820)------------------------------
% 16.47/2.51  % (2806)Instruction limit reached!
% 16.47/2.51  % (2806)------------------------------
% 16.47/2.51  % (2806)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 16.47/2.51  % (2806)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 16.47/2.51  % (2806)Termination reason: Unknown
% 16.47/2.51  % (2806)Termination phase: Saturation
% 16.47/2.51  
% 16.47/2.51  % (2806)Memory used [KB]: 13176
% 16.47/2.51  % (2806)Time elapsed: 1.741 s
% 16.47/2.51  % (2806)Instructions burned: 629 (million)
% 16.47/2.51  % (2806)------------------------------
% 16.47/2.51  % (2806)------------------------------
% 17.17/2.56  % (2831)Instruction limit reached!
% 17.17/2.56  % (2831)------------------------------
% 17.17/2.56  % (2831)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 17.17/2.56  % (2831)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 17.17/2.56  % (2831)Termination reason: Unknown
% 17.17/2.56  % (2831)Termination phase: Saturation
% 17.17/2.56  
% 17.17/2.56  % (2831)Memory used [KB]: 9978
% 17.17/2.56  % (2831)Time elapsed: 0.778 s
% 17.17/2.56  % (2831)Instructions burned: 291 (million)
% 17.17/2.56  % (2831)------------------------------
% 17.17/2.56  % (2831)------------------------------
% 18.76/2.76  % (2838)lrs+1011_8:1_aac=none:anc=all_dependent:lwlo=on:nm=2:nwc=10.0:sac=on:sos=all:i=3317:si=on:rawr=on:rtra=on_0 on theBenchmark for (2978ds/3317Mi)
% 18.76/2.76  % (2837)lrs+1011_2:1_av=off:irw=on:lwlo=on:newcnf=on:nm=16:nwc=2:sd=4:sp=occurrence:ss=axioms:st=3.0:i=1314:si=on:rawr=on:rtra=on_0 on theBenchmark for (2979ds/1314Mi)
% 21.23/3.04  % (2822)Instruction limit reached!
% 21.23/3.04  % (2822)------------------------------
% 21.23/3.04  % (2822)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 21.23/3.04  % (2822)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 21.23/3.04  % (2822)Termination reason: Unknown
% 21.23/3.04  % (2822)Termination phase: Saturation
% 21.23/3.04  
% 21.23/3.04  % (2822)Memory used [KB]: 11129
% 21.23/3.04  % (2822)Time elapsed: 1.536 s
% 21.23/3.04  % (2822)Instructions burned: 621 (million)
% 21.23/3.04  % (2822)------------------------------
% 21.23/3.04  % (2822)------------------------------
% 21.23/3.05  % (2839)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=381:si=on:rawr=on:rtra=on_0 on theBenchmark for (2977ds/381Mi)
% 22.47/3.18  % (2824)Instruction limit reached!
% 22.47/3.18  % (2824)------------------------------
% 22.47/3.18  % (2824)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 22.47/3.18  % (2824)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 22.47/3.18  % (2824)Termination reason: Unknown
% 22.47/3.18  % (2824)Termination phase: Saturation
% 22.47/3.18  
% 22.47/3.18  % (2824)Memory used [KB]: 12537
% 22.47/3.18  % (2824)Time elapsed: 1.597 s
% 22.47/3.18  % (2824)Instructions burned: 382 (million)
% 22.47/3.18  % (2824)------------------------------
% 22.47/3.18  % (2824)------------------------------
% 22.47/3.19  % (2829)Instruction limit reached!
% 22.47/3.19  % (2829)------------------------------
% 22.47/3.19  % (2829)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 22.47/3.19  % (2829)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 22.47/3.19  % (2829)Termination reason: Unknown
% 22.47/3.19  % (2829)Termination phase: Saturation
% 22.47/3.19  
% 22.47/3.19  % (2829)Memory used [KB]: 19573
% 22.47/3.19  % (2829)Time elapsed: 1.523 s
% 22.47/3.19  % (2829)Instructions burned: 875 (million)
% 22.47/3.19  % (2829)------------------------------
% 22.47/3.19  % (2829)------------------------------
% 22.95/3.32  % (2842)dis+1011_1:227_abs=on:amm=off:avsq=on:avsqc=1:avsqr=97,32:awrs=converge:awrsf=256:bsr=unit_only:drc=off:fd=preordered:plsq=on:plsqc=1:plsql=on:plsqr=27942579,963352:sas=z3:slsq=on:slsqc=1:slsql=off:slsqr=307,512:sp=occurrence:ss=axioms:st=3.0:i=5027:si=on:rawr=on:rtra=on_0 on theBenchmark for (2972ds/5027Mi)
% 24.61/3.48  % (2818)First to succeed.
% 24.98/3.53  % (2843)lrs+1011_1:92_abs=on:amm=sco:anc=all:avsq=on:avsqc=1:avsql=on:avsqr=41,14:awrs=converge:awrsf=170:bd=preordered:bs=on:bsr=unit_only:erd=off:fd=preordered:irw=on:lcm=reverse:lwlo=on:newcnf=on:nicw=on:nwc=4.0:s2a=on:s2agt=64:sas=z3:sims=off:sp=frequency:to=lpo:urr=on:i=1293:si=on:rawr=on:rtra=on_0 on theBenchmark for (2971ds/1293Mi)
% 24.98/3.54  % (2818)Refutation found. Thanks to Tanya!
% 24.98/3.54  % SZS status Unsatisfiable for theBenchmark
% 24.98/3.54  % SZS output start Proof for theBenchmark
% See solution above
% 25.45/3.55  % (2818)------------------------------
% 25.45/3.55  % (2818)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 25.45/3.55  % (2818)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 25.45/3.55  % (2818)Termination reason: Refutation
% 25.45/3.55  
% 25.45/3.55  % (2818)Memory used [KB]: 16375
% 25.45/3.55  % (2818)Time elapsed: 2.129 s
% 25.45/3.55  % (2818)Instructions burned: 918 (million)
% 25.45/3.55  % (2818)------------------------------
% 25.45/3.55  % (2818)------------------------------
% 25.45/3.55  % (2763)Success in time 3.21 s
%------------------------------------------------------------------------------