%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : GRP680-1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n018.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 20:21:23 EDT 2024

% Result   : Unsatisfiable 0.19s 0.40s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   18 (  18 unt;   0 def)
%            Number of atoms       :   18 (  17 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 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   :   24 (  24   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
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(A,C))) = mult(mult(A,mult(B,A)),C),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

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

fof(f15,plain,
    ! [X0] : mult(X0,unit) = X0,
    inference(cnf_transformation,[status(esa)],[f5]) ).

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

fof(f18,plain,
    ! [X0,X1] : mult(i(X0),mult(X0,X1)) = X1,
    inference(cnf_transformation,[status(esa)],[f8]) ).

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

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

fof(f21,plain,
    ! [X0,X1] : mult(X0,X1) = mult(i(i(X0)),X1),
    inference(paramodulation,[status(thm)],[f18,f18]) ).

fof(f24,plain,
    ! [X0,X1] : mult(X0,mult(i(X0),X1)) = X1,
    inference(paramodulation,[status(thm)],[f18,f21]) ).

fof(f40,plain,
    ! [X0,X1] : mult(X0,mult(X1,mult(X0,op_c))) = mult(op_c,mult(X0,mult(X1,X0))),
    inference(paramodulation,[status(thm)],[f19,f17]) ).

fof(f153,plain,
    ! [X0] : unit = mult(i(X0),X0),
    inference(paramodulation,[status(thm)],[f15,f18]) ).

fof(f542,plain,
    ! [X0] : mult(op_c,mult(i(op_c),mult(X0,i(op_c)))) = mult(i(op_c),mult(X0,unit)),
    inference(paramodulation,[status(thm)],[f153,f40]) ).

fof(f554,plain,
    ! [X0] : mult(X0,i(op_c)) = mult(i(op_c),mult(X0,unit)),
    inference(forward_demodulation,[status(thm)],[f24,f542]) ).

fof(f555,plain,
    ! [X0] : mult(X0,i(op_c)) = mult(i(op_c),X0),
    inference(forward_demodulation,[status(thm)],[f15,f554]) ).

fof(f556,plain,
    $false,
    inference(resolution,[status(thm)],[f555,f20]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.14  % Problem  : GRP680-1 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.15  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.36  % Computer : n018.cluster.edu
% 0.12/0.36  % Model    : x86_64 x86_64
% 0.12/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36  % Memory   : 8042.1875MB
% 0.12/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.36  % CPULimit : 300
% 0.12/0.36  % WCLimit  : 300
% 0.12/0.36  % DateTime : Tue Apr 30 00:44:13 EDT 2024
% 0.12/0.36  % CPUTime  : 
% 0.12/0.37  % Drodi V3.6.0
% 0.19/0.40  % Refutation found
% 0.19/0.40  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.40  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.40  % Elapsed time: 0.037264 seconds
% 0.19/0.40  % CPU time: 0.203153 seconds
% 0.19/0.40  % Total memory used: 13.450 MB
% 0.19/0.40  % Net memory used: 13.213 MB
%------------------------------------------------------------------------------