%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : GRP704-12 : 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 : Wed May 31 12:12:35 EDT 2023

% Result   : Unsatisfiable 0.06s 0.28s
% Output   : CNFRefutation 0.06s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   17 (  17 unt;   0 def)
%            Number of atoms       :   17 (  16 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    5 (   5   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :   16 (;  16   !;   0   ?)

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

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

fof(f10,axiom,
    ! [A,B] : mult(A,mult(op_c,B)) = mult(mult(A,op_c),B),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f13,axiom,
    ! [A,B] : op_f = mult(A,mult(B,ld(mult(A,B),op_c))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f14,negated_conjecture,
    mult(x4,mult(op_f,x5)) != mult(mult(x4,op_f),x5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f15,plain,
    ! [X0,X1] : mult(X0,ld(X0,X1)) = X1,
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f20,plain,
    ! [X0] : mult(unit,X0) = X0,
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f24,plain,
    ! [X0,X1] : mult(X0,mult(op_c,X1)) = mult(mult(X0,op_c),X1),
    inference(cnf_transformation,[status(esa)],[f10]) ).

fof(f27,plain,
    ! [X0,X1] : op_f = mult(X0,mult(X1,ld(mult(X0,X1),op_c))),
    inference(cnf_transformation,[status(esa)],[f13]) ).

fof(f28,plain,
    mult(x4,mult(op_f,x5)) != mult(mult(x4,op_f),x5),
    inference(cnf_transformation,[status(esa)],[f14]) ).

fof(f861,plain,
    ! [X0] : op_f = mult(X0,ld(mult(unit,X0),op_c)),
    inference(paramodulation,[status(thm)],[f27,f20]) ).

fof(f862,plain,
    ! [X0] : op_f = mult(X0,ld(X0,op_c)),
    inference(forward_demodulation,[status(thm)],[f20,f861]) ).

fof(f1670,plain,
    op_f = op_c,
    inference(forward_demodulation,[status(thm)],[f15,f862]) ).

fof(f1694,plain,
    mult(x4,mult(op_f,x5)) != mult(mult(x4,op_c),x5),
    inference(backward_demodulation,[status(thm)],[f1670,f28]) ).

fof(f1695,plain,
    mult(x4,mult(op_c,x5)) != mult(mult(x4,op_c),x5),
    inference(forward_demodulation,[status(thm)],[f1670,f1694]) ).

fof(f1696,plain,
    mult(x4,mult(op_c,x5)) != mult(x4,mult(op_c,x5)),
    inference(forward_demodulation,[status(thm)],[f24,f1695]) ).

fof(f1697,plain,
    $false,
    inference(trivial_equality_resolution,[status(esa)],[f1696]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06  % Problem  : GRP704-12 : TPTP v8.1.2. Released v8.1.0.
% 0.00/0.07  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.06/0.25  % Computer : n026.cluster.edu
% 0.06/0.25  % Model    : x86_64 x86_64
% 0.06/0.25  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.25  % Memory   : 8042.1875MB
% 0.06/0.25  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.06/0.25  % CPULimit : 300
% 0.06/0.25  % WCLimit  : 300
% 0.06/0.25  % DateTime : Tue May 30 11:48:58 EDT 2023
% 0.06/0.25  % CPUTime  : 
% 0.06/0.26  % Drodi V3.5.1
% 0.06/0.28  % Refutation found
% 0.06/0.28  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.06/0.28  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.06/0.28  % Elapsed time: 0.025004 seconds
% 0.06/0.28  % CPU time: 0.135316 seconds
% 0.06/0.28  % Memory used: 5.980 MB
%------------------------------------------------------------------------------