%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% 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 : 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 : Wed May 31 12:09:37 EDT 2023

% Result   : Unsatisfiable 0.12s 0.34s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   22 (  22 unt;   0 def)
%            Number of atoms       :   22 (  21 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    :    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   :   23 (;  23   !;   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(f20,plain,
    ! [X0] : multiply(c,X0) = multiply(a,multiply(b,X0)),
    inference(paramodulation,[status(thm)],[f15,f11]) ).

fof(f24,plain,
    ! [X0,X1] : multiply(X0,multiply(X1,multiply(X0,X1))) = identity,
    inference(paramodulation,[status(thm)],[f11,f14]) ).

fof(f26,plain,
    multiply(c,b) = multiply(a,identity),
    inference(paramodulation,[status(thm)],[f14,f20]) ).

fof(f27,plain,
    multiply(c,b) = a,
    inference(forward_demodulation,[status(thm)],[f12,f26]) ).

fof(f28,plain,
    ! [X0,X1] : multiply(identity,X0) = multiply(X1,multiply(X1,X0)),
    inference(paramodulation,[status(thm)],[f14,f11]) ).

fof(f29,plain,
    ! [X0,X1] : X0 = multiply(X1,multiply(X1,X0)),
    inference(forward_demodulation,[status(thm)],[f9,f28]) ).

fof(f69,plain,
    ! [X0,X1] : multiply(X0,multiply(X1,X0)) = multiply(X1,identity),
    inference(paramodulation,[status(thm)],[f24,f29]) ).

fof(f70,plain,
    ! [X0,X1] : multiply(X0,multiply(X1,X0)) = X1,
    inference(forward_demodulation,[status(thm)],[f12,f69]) ).

fof(f92,plain,
    multiply(b,a) = c,
    inference(paramodulation,[status(thm)],[f27,f70]) ).

fof(f93,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f92,f16]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : GRP001-2 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.12  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33  % Computer : n018.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Tue May 30 11:37:55 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.12/0.33  % Drodi V3.5.1
% 0.12/0.34  % Refutation found
% 0.12/0.34  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.34  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.56  % Elapsed time: 0.009895 seconds
% 0.19/0.56  % CPU time: 0.031440 seconds
% 0.19/0.56  % Memory used: 819.073 KB
%------------------------------------------------------------------------------