%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : GRP710-11 : TPTP v8.1.2. Released v8.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n026.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 : Tue Apr 30 20:21:29 EDT 2024

% Result   : Unsatisfiable 0.20s 0.42s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   21 (  21 unt;   0 def)
%            Number of atoms       :   21 (  20 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    7 (   7   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   29 (  29   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [A] : mult(A,unit) = A,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2,axiom,
    ! [A] : mult(unit,A) = A,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f3,axiom,
    ! [A,B,C] : mult(A,mult(B,mult(B,C))) = mult(mult(mult(A,B),B),C),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f5,axiom,
    ! [A] : mult(i(A),A) = unit,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f6,negated_conjecture,
    ! [X5] : mult(X5,x4) != x3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f7,plain,
    ! [X0] : mult(X0,unit) = X0,
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f8,plain,
    ! [X0] : mult(unit,X0) = X0,
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f9,plain,
    ! [X0,X1,X2] : mult(X0,mult(X1,mult(X1,X2))) = mult(mult(mult(X0,X1),X1),X2),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f11,plain,
    ! [X0] : mult(i(X0),X0) = unit,
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f12,plain,
    ! [X0] : mult(X0,x4) != x3,
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f17,plain,
    ! [X0,X1] : mult(X0,mult(X1,mult(X1,unit))) = mult(mult(X0,X1),X1),
    inference(paramodulation,[status(thm)],[f7,f9]) ).

fof(f18,plain,
    ! [X0,X1] : mult(X0,mult(X1,X1)) = mult(mult(X0,X1),X1),
    inference(forward_demodulation,[status(thm)],[f7,f17]) ).

fof(f70,plain,
    ! [X0,X1,X2] : mult(X0,mult(X1,mult(X1,X2))) = mult(mult(X0,mult(X1,X1)),X2),
    inference(backward_demodulation,[status(thm)],[f18,f9]) ).

fof(f72,plain,
    ! [X0] : mult(i(X0),mult(X0,X0)) = mult(unit,X0),
    inference(paramodulation,[status(thm)],[f11,f18]) ).

fof(f73,plain,
    ! [X0] : mult(i(X0),mult(X0,X0)) = X0,
    inference(forward_demodulation,[status(thm)],[f8,f72]) ).

fof(f83,plain,
    ! [X0] : mult(X0,mult(x4,x4)) != x3,
    inference(paramodulation,[status(thm)],[f18,f12]) ).

fof(f131,plain,
    ! [X0,X1] : mult(X0,mult(X1,mult(X1,mult(x4,x4)))) != x3,
    inference(paramodulation,[status(thm)],[f70,f83]) ).

fof(f581,plain,
    ! [X0] : mult(X0,mult(i(x4),x4)) != x3,
    inference(paramodulation,[status(thm)],[f73,f131]) ).

fof(f582,plain,
    ! [X0] : mult(X0,unit) != x3,
    inference(forward_demodulation,[status(thm)],[f11,f581]) ).

fof(f583,plain,
    ! [X0] : X0 != x3,
    inference(forward_demodulation,[status(thm)],[f7,f582]) ).

fof(f584,plain,
    $false,
    inference(destructive_equality_resolution,[status(esa)],[f583]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem  : GRP710-11 : TPTP v8.1.2. Released v8.1.0.
% 0.08/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n026.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Tue Apr 30 00:38:49 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Drodi V3.6.0
% 0.20/0.42  % Refutation found
% 0.20/0.42  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.42  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.43  % Elapsed time: 0.080183 seconds
% 0.20/0.43  % CPU time: 0.561257 seconds
% 0.20/0.43  % Total memory used: 24.547 MB
% 0.20/0.43  % Net memory used: 24.065 MB
%------------------------------------------------------------------------------