%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : GRP656-10 : TPTP v8.1.2. Released v8.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n022.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 20:21:17 EDT 2024

% Result   : Unsatisfiable 0.21s 0.37s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            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 :    4 (   4   ~;   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    :    6 (   6 usr;   0 con; 1-2 aty)
%            Number of variables   :   40 (  40   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2,axiom,
    ! [A,B] : ld(A,mult(A,B)) = B,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

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

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

fof(f5,axiom,
    ! [A,B,C] : mult(mult(A,B),mult(C,A)) = mult(mult(A,mult(B,C)),A),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f6,negated_conjecture,
    ! [X0] : tuple(mult(X0,x1(X0)),mult(x1_2(X0),X0)) != tuple(x1(X0),x1_2(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f8,plain,
    ! [X0,X1] : ld(X0,mult(X0,X1)) = X1,
    inference(cnf_transformation,[status(esa)],[f2]) ).

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

fof(f10,plain,
    ! [X0,X1] : rd(mult(X0,X1),X1) = X0,
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f11,plain,
    ! [X0,X1,X2] : mult(mult(X0,X1),mult(X2,X0)) = mult(mult(X0,mult(X1,X2)),X0),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f12,plain,
    ! [X0] : tuple(mult(X0,x1(X0)),mult(x1_2(X0),X0)) != tuple(x1(X0),x1_2(X0)),
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f23,plain,
    ! [X0,X1,X2] : rd(mult(mult(X0,X1),mult(X2,X0)),X0) = mult(X0,mult(X1,X2)),
    inference(paramodulation,[status(thm)],[f11,f10]) ).

fof(f31,plain,
    ! [X0,X1,X2] : rd(mult(mult(X0,X1),X2),X0) = mult(X0,mult(X1,rd(X2,X0))),
    inference(paramodulation,[status(thm)],[f9,f23]) ).

fof(f50,plain,
    ! [X0,X1] : mult(X0,X1) = mult(X0,mult(X1,rd(X0,X0))),
    inference(paramodulation,[status(thm)],[f10,f31]) ).

fof(f77,plain,
    ! [X0,X1] : ld(X0,mult(X0,X1)) = mult(X1,rd(X0,X0)),
    inference(paramodulation,[status(thm)],[f50,f8]) ).

fof(f78,plain,
    ! [X0,X1] : X0 = mult(X0,rd(X1,X1)),
    inference(forward_demodulation,[status(thm)],[f8,f77]) ).

fof(f87,plain,
    ! [X0] : tuple(mult(rd(X0,X0),x1(rd(X0,X0))),x1_2(rd(X0,X0))) != tuple(x1(rd(X0,X0)),x1_2(rd(X0,X0))),
    inference(paramodulation,[status(thm)],[f78,f12]) ).

fof(f97,plain,
    ! [X0,X1] : ld(X0,X0) = rd(X1,X1),
    inference(paramodulation,[status(thm)],[f78,f8]) ).

fof(f99,plain,
    ! [X0,X1] : rd(X0,X0) = rd(X1,X1),
    inference(paramodulation,[status(thm)],[f97,f97]) ).

fof(f126,plain,
    ! [X0,X1] : mult(rd(X0,X0),X1) = X1,
    inference(paramodulation,[status(thm)],[f99,f9]) ).

fof(f132,plain,
    ! [X0] : tuple(x1(rd(X0,X0)),x1_2(rd(X0,X0))) != tuple(x1(rd(X0,X0)),x1_2(rd(X0,X0))),
    inference(backward_demodulation,[status(thm)],[f126,f87]) ).

fof(f133,plain,
    $false,
    inference(trivial_equality_resolution,[status(esa)],[f132]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : GRP656-10 : TPTP v8.1.2. Released v8.1.0.
% 0.03/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35  % Computer : n022.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Tue Apr 30 00:13:43 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.14/0.36  % Drodi V3.6.0
% 0.21/0.37  % Refutation found
% 0.21/0.37  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.21/0.37  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.21/0.38  % Elapsed time: 0.024166 seconds
% 0.21/0.38  % CPU time: 0.085221 seconds
% 0.21/0.38  % Total memory used: 5.919 MB
% 0.21/0.38  % Net memory used: 5.843 MB
%------------------------------------------------------------------------------