%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : GRP521-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n031.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 20:20:51 EDT 2024

% Result   : Unsatisfiable 0.15s 0.31s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   18 (  18 unt;   0 def)
%            Number of atoms       :   18 (  17 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   34 (  34   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [A,B,C] : divide(A,divide(B,divide(C,divide(A,B)))) = C,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2,axiom,
    ! [A,B,C] : multiply(A,B) = divide(A,divide(divide(C,C),B)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

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

fof(f4,negated_conjecture,
    multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f5,plain,
    ! [X0,X1,X2] : divide(X0,divide(X1,divide(X2,divide(X0,X1)))) = X2,
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f6,plain,
    ! [X0,X1,X2] : multiply(X0,X1) = divide(X0,divide(divide(X2,X2),X1)),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f7,plain,
    ! [X0,X1] : inverse(X0) = divide(divide(X1,X1),X0),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f8,plain,
    multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f9,plain,
    ! [X0,X1] : inverse(X0) = divide(inverse(divide(X1,X1)),X0),
    inference(paramodulation,[status(thm)],[f7,f7]) ).

fof(f13,plain,
    ! [X0,X1,X2] : inverse(divide(X0,divide(X1,divide(inverse(divide(X2,X2)),X0)))) = X1,
    inference(paramodulation,[status(thm)],[f9,f5]) ).

fof(f14,plain,
    ! [X0,X1] : inverse(divide(X0,divide(X1,inverse(X0)))) = X1,
    inference(forward_demodulation,[status(thm)],[f9,f13]) ).

fof(f34,plain,
    ! [X0,X1] : inverse(divide(X0,inverse(inverse(X0)))) = divide(X1,X1),
    inference(paramodulation,[status(thm)],[f7,f14]) ).

fof(f36,plain,
    ! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
    inference(forward_demodulation,[status(thm)],[f7,f6]) ).

fof(f66,plain,
    ! [X0,X1] : inverse(multiply(X0,inverse(X0))) = divide(X1,X1),
    inference(forward_demodulation,[status(thm)],[f36,f34]) ).

fof(f67,plain,
    ! [X0,X1] : divide(X0,X0) = divide(X1,X1),
    inference(paramodulation,[status(thm)],[f66,f66]) ).

fof(f92,plain,
    ! [X0,X1] : multiply(inverse(X0),X0) = divide(X1,X1),
    inference(paramodulation,[status(thm)],[f36,f67]) ).

fof(f144,plain,
    ! [X0] : multiply(inverse(a1),a1) != divide(X0,X0),
    inference(paramodulation,[status(thm)],[f92,f8]) ).

fof(f145,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f144,f92]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.09  % Problem  : GRP521-1 : TPTP v8.1.2. Released v2.6.0.
% 0.08/0.10  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30  % Computer : n031.cluster.edu
% 0.09/0.30  % Model    : x86_64 x86_64
% 0.09/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30  % Memory   : 8042.1875MB
% 0.09/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30  % CPULimit : 300
% 0.09/0.30  % WCLimit  : 300
% 0.09/0.30  % DateTime : Tue Apr 30 00:52:13 EDT 2024
% 0.09/0.30  % CPUTime  : 
% 0.09/0.31  % Drodi V3.6.0
% 0.15/0.31  % Refutation found
% 0.15/0.31  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.31  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.32  % Elapsed time: 0.016640 seconds
% 0.15/0.32  % CPU time: 0.059633 seconds
% 0.15/0.32  % Total memory used: 4.678 MB
% 0.15/0.32  % Net memory used: 4.610 MB
%------------------------------------------------------------------------------