%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : GRP665-12 : TPTP v8.1.2. Released v8.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n008.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 May 31 12:12:29 EDT 2023

% Result   : Unsatisfiable 0.12s 0.35s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   13 (  13 unt;   0 def)
%            Number of atoms       :   13 (  12 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    4 (   4   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    4 (   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   :   15 (;  15   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f4,axiom,
    ! [A,B] : rd(mult(A,B),B) = A,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f7,axiom,
    ! [A,B,C] : mult(A,mult(B,C)) = mult(rd(mult(A,B),A),mult(A,C)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f9,axiom,
    ! [A] : mult(op_c,A) = mult(A,op_c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f10,negated_conjecture,
    mult(mult(x0,x1),op_c) != mult(x0,mult(x1,op_c)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f14,plain,
    ! [X0,X1] : rd(mult(X0,X1),X1) = X0,
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f17,plain,
    ! [X0,X1,X2] : mult(X0,mult(X1,X2)) = mult(rd(mult(X0,X1),X0),mult(X0,X2)),
    inference(cnf_transformation,[status(esa)],[f7]) ).

fof(f19,plain,
    ! [X0] : mult(op_c,X0) = mult(X0,op_c),
    inference(cnf_transformation,[status(esa)],[f9]) ).

fof(f20,plain,
    mult(mult(x0,x1),op_c) != mult(x0,mult(x1,op_c)),
    inference(cnf_transformation,[status(esa)],[f10]) ).

fof(f21,plain,
    mult(op_c,mult(x0,x1)) != mult(x0,mult(x1,op_c)),
    inference(forward_demodulation,[status(thm)],[f19,f20]) ).

fof(f22,plain,
    mult(op_c,mult(x0,x1)) != mult(x0,mult(op_c,x1)),
    inference(forward_demodulation,[status(thm)],[f19,f21]) ).

fof(f53,plain,
    ! [X0] : rd(mult(X0,op_c),X0) = op_c,
    inference(paramodulation,[status(thm)],[f19,f14]) ).

fof(f84,plain,
    ! [X0,X1] : mult(X0,mult(op_c,X1)) = mult(op_c,mult(X0,X1)),
    inference(paramodulation,[status(thm)],[f53,f17]) ).

fof(f85,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[f22,f84]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GRP665-12 : TPTP v8.1.2. Released v8.1.0.
% 0.07/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33  % Computer : n008.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Tue May 30 11:32:23 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  % Drodi V3.5.1
% 0.12/0.35  % Refutation found
% 0.12/0.35  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.35  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.57  % Elapsed time: 0.014746 seconds
% 0.19/0.57  % CPU time: 0.035238 seconds
% 0.19/0.57  % Memory used: 904.867 KB
%------------------------------------------------------------------------------