%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : GRP703-10 : TPTP v8.1.2. Released v8.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n032.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 12:12:34 EDT 2023

% Result   : Unsatisfiable 0.12s 0.38s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   20 (  20 unt;   0 def)
%            Number of atoms       :   20 (  19 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    5 (   5   ~;   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    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :   25 (;  25   !;   0   ?)

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

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

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

fof(f8,axiom,
    ! [A,B] : mult(op_c,mult(A,B)) = mult(mult(op_c,A),B),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f12,axiom,
    ! [A,B] : op_e = mult(mult(rd(op_c,mult(A,B)),B),A),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f14,negated_conjecture,
    mult(op_e,mult(x2,x3)) != mult(mult(op_e,x2),x3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f17,plain,
    ! [X0,X1] : mult(rd(X0,X1),X1) = X0,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f19,plain,
    ! [X0] : mult(X0,unit) = X0,
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f21,plain,
    ! [X0,X1,X2] : mult(X0,mult(X1,mult(X1,X2))) = mult(mult(mult(X0,X1),X1),X2),
    inference(cnf_transformation,[status(esa)],[f7]) ).

fof(f22,plain,
    ! [X0,X1] : mult(op_c,mult(X0,X1)) = mult(mult(op_c,X0),X1),
    inference(cnf_transformation,[status(esa)],[f8]) ).

fof(f26,plain,
    ! [X0,X1] : op_e = mult(mult(rd(op_c,mult(X0,X1)),X1),X0),
    inference(cnf_transformation,[status(esa)],[f12]) ).

fof(f28,plain,
    mult(op_e,mult(x2,x3)) != mult(mult(op_e,x2),x3),
    inference(cnf_transformation,[status(esa)],[f14]) ).

fof(f741,plain,
    ! [X0,X1] : mult(X0,mult(X1,mult(X1,unit))) = mult(mult(X0,X1),X1),
    inference(paramodulation,[status(thm)],[f21,f19]) ).

fof(f742,plain,
    ! [X0,X1] : mult(X0,mult(X1,X1)) = mult(mult(X0,X1),X1),
    inference(forward_demodulation,[status(thm)],[f19,f741]) ).

fof(f1095,plain,
    ! [X0] : mult(rd(op_c,mult(X0,X0)),mult(X0,X0)) = op_e,
    inference(paramodulation,[status(thm)],[f26,f742]) ).

fof(f1096,plain,
    op_c = op_e,
    inference(forward_demodulation,[status(thm)],[f17,f1095]) ).

fof(f1449,plain,
    mult(op_e,mult(x2,x3)) != mult(mult(op_c,x2),x3),
    inference(backward_demodulation,[status(thm)],[f1096,f28]) ).

fof(f1450,plain,
    mult(op_c,mult(x2,x3)) != mult(mult(op_c,x2),x3),
    inference(forward_demodulation,[status(thm)],[f1096,f1449]) ).

fof(f1451,plain,
    mult(op_c,mult(x2,x3)) != mult(op_c,mult(x2,x3)),
    inference(forward_demodulation,[status(thm)],[f22,f1450]) ).

fof(f1452,plain,
    $false,
    inference(trivial_equality_resolution,[status(esa)],[f1451]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08  % Problem  : GRP703-10 : TPTP v8.1.2. Released v8.1.0.
% 0.00/0.08  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.08/0.27  % Computer : n032.cluster.edu
% 0.08/0.27  % Model    : x86_64 x86_64
% 0.08/0.27  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.27  % Memory   : 8042.1875MB
% 0.08/0.27  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.27  % CPULimit : 300
% 0.08/0.27  % WCLimit  : 300
% 0.08/0.27  % DateTime : Tue May 30 11:35:16 EDT 2023
% 0.08/0.27  % CPUTime  : 
% 0.08/0.27  % Drodi V3.5.1
% 0.12/0.38  % Refutation found
% 0.12/0.38  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.38  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.38  % Elapsed time: 0.109231 seconds
% 0.12/0.38  % CPU time: 0.191252 seconds
% 0.12/0.38  % Memory used: 4.921 MB
%------------------------------------------------------------------------------