%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : GRP001-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n016.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 20:18:42 EDT 2024

% Result   : Unsatisfiable 0.15s 0.33s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    6
% 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 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   24 (  24   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X] : multiply(identity,X) = X,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f3,axiom,
    ! [X,Y,Z] : multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f4,axiom,
    ! [X] : multiply(X,identity) = X,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

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

fof(f7,hypothesis,
    multiply(a,b) = c,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f8,negated_conjecture,
    multiply(b,a) != c,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f9,plain,
    ! [X0] : multiply(identity,X0) = X0,
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f11,plain,
    ! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f12,plain,
    ! [X0] : multiply(X0,identity) = X0,
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f14,plain,
    ! [X0] : multiply(X0,X0) = identity,
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f15,plain,
    multiply(a,b) = c,
    inference(cnf_transformation,[status(esa)],[f7]) ).

fof(f16,plain,
    multiply(b,a) != c,
    inference(cnf_transformation,[status(esa)],[f8]) ).

fof(f23,plain,
    ! [X0,X1] : identity = multiply(X0,multiply(X1,multiply(X0,X1))),
    inference(paramodulation,[status(thm)],[f14,f11]) ).

fof(f34,plain,
    ! [X0,X1] : multiply(identity,X0) = multiply(X1,multiply(X1,X0)),
    inference(paramodulation,[status(thm)],[f14,f11]) ).

fof(f35,plain,
    ! [X0,X1] : X0 = multiply(X1,multiply(X1,X0)),
    inference(forward_demodulation,[status(thm)],[f9,f34]) ).

fof(f94,plain,
    ! [X0,X1] : multiply(X0,multiply(X1,X0)) = multiply(X1,identity),
    inference(paramodulation,[status(thm)],[f23,f35]) ).

fof(f95,plain,
    ! [X0,X1] : multiply(X0,multiply(X1,X0)) = X1,
    inference(forward_demodulation,[status(thm)],[f12,f94]) ).

fof(f116,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
    inference(paramodulation,[status(thm)],[f95,f35]) ).

fof(f142,plain,
    multiply(a,b) != c,
    inference(paramodulation,[status(thm)],[f116,f16]) ).

fof(f143,plain,
    c != c,
    inference(forward_demodulation,[status(thm)],[f15,f142]) ).

fof(f144,plain,
    $false,
    inference(trivial_equality_resolution,[status(esa)],[f143]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : GRP001-2 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.11  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.15/0.31  % Computer : n016.cluster.edu
% 0.15/0.31  % Model    : x86_64 x86_64
% 0.15/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.31  % Memory   : 8042.1875MB
% 0.15/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.31  % CPULimit : 300
% 0.15/0.31  % WCLimit  : 300
% 0.15/0.31  % DateTime : Tue Apr 30 01:00:25 EDT 2024
% 0.15/0.31  % CPUTime  : 
% 0.15/0.32  % Drodi V3.6.0
% 0.15/0.33  % Refutation found
% 0.15/0.33  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.33  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.35  % Elapsed time: 0.017660 seconds
% 0.15/0.35  % CPU time: 0.039563 seconds
% 0.15/0.35  % Total memory used: 3.584 MB
% 0.15/0.35  % Net memory used: 3.525 MB
%------------------------------------------------------------------------------