%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : RNG007-4 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n029.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 20:37:41 EDT 2024

% Result   : Unsatisfiable 0.11s 0.34s
% Output   : CNFRefutation 0.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            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 :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :    4 (   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   :   20 (  20   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2,axiom,
    ! [X] : add(additive_inverse(X),X) = additive_identity,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

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

fof(f10,axiom,
    ! [X,Y] : multiply(X,additive_inverse(Y)) = additive_inverse(multiply(X,Y)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f11,axiom,
    ! [X,Y] : multiply(additive_inverse(X),Y) = additive_inverse(multiply(X,Y)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f15,hypothesis,
    ! [X] : multiply(X,X) = X,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f16,negated_conjecture,
    add(a,a) != additive_identity,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f18,plain,
    ! [X0] : add(additive_inverse(X0),X0) = additive_identity,
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f22,plain,
    ! [X0] : additive_inverse(additive_inverse(X0)) = X0,
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f26,plain,
    ! [X0,X1] : multiply(X0,additive_inverse(X1)) = additive_inverse(multiply(X0,X1)),
    inference(cnf_transformation,[status(esa)],[f10]) ).

fof(f27,plain,
    ! [X0,X1] : multiply(additive_inverse(X0),X1) = additive_inverse(multiply(X0,X1)),
    inference(cnf_transformation,[status(esa)],[f11]) ).

fof(f31,plain,
    ! [X0] : multiply(X0,X0) = X0,
    inference(cnf_transformation,[status(esa)],[f15]) ).

fof(f32,plain,
    add(a,a) != additive_identity,
    inference(cnf_transformation,[status(esa)],[f16]) ).

fof(f34,plain,
    ! [X0] : add(X0,additive_inverse(X0)) = additive_identity,
    inference(paramodulation,[status(thm)],[f22,f18]) ).

fof(f77,plain,
    ! [X0] : additive_inverse(X0) = additive_inverse(multiply(additive_inverse(X0),X0)),
    inference(paramodulation,[status(thm)],[f31,f26]) ).

fof(f78,plain,
    ! [X0] : additive_inverse(X0) = additive_inverse(additive_inverse(multiply(X0,X0))),
    inference(forward_demodulation,[status(thm)],[f27,f77]) ).

fof(f79,plain,
    ! [X0] : additive_inverse(X0) = multiply(X0,X0),
    inference(forward_demodulation,[status(thm)],[f22,f78]) ).

fof(f80,plain,
    ! [X0] : additive_inverse(X0) = X0,
    inference(forward_demodulation,[status(thm)],[f31,f79]) ).

fof(f103,plain,
    ! [X0] : add(X0,X0) = additive_identity,
    inference(backward_demodulation,[status(thm)],[f80,f34]) ).

fof(f109,plain,
    additive_identity != additive_identity,
    inference(backward_demodulation,[status(thm)],[f103,f32]) ).

fof(f110,plain,
    $false,
    inference(trivial_equality_resolution,[status(esa)],[f109]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : RNG007-4 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.12  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.32  % Computer : n029.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 300
% 0.11/0.32  % DateTime : Mon Apr 29 22:36:49 EDT 2024
% 0.11/0.32  % CPUTime  : 
% 0.11/0.33  % Drodi V3.6.0
% 0.11/0.34  % Refutation found
% 0.11/0.34  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.34  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.11/0.35  % Elapsed time: 0.020541 seconds
% 0.11/0.35  % CPU time: 0.037556 seconds
% 0.11/0.35  % Total memory used: 3.375 MB
% 0.11/0.35  % Net memory used: 3.335 MB
%------------------------------------------------------------------------------