%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : LCL186-10 : TPTP v8.1.2. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n014.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 20:26:36 EDT 2024

% Result   : Unsatisfiable 0.21s 0.37s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   19 (  19 unt;   0 def)
%            Number of atoms       :   19 (  18 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   3 con; 0-4 aty)
%            Number of variables   :   36 (  36   !;   0   ?)

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

fof(f3,axiom,
    ! [A,B] : axiom(or(not(A),or(B,A))) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f4,axiom,
    ! [A,B] : axiom(or(not(or(A,B)),or(B,A))) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f7,axiom,
    ! [X] : ifeq(axiom(X),true,theorem(X),true) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f9,axiom,
    ! [Y,Z,X] : ifeq(theorem(or(not(Y),Z)),true,ifeq(axiom(or(not(X),Y)),true,theorem(or(not(X),Z)),true),true) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f10,negated_conjecture,
    theorem(or(not(not(p)),or(not(p),q))) != true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f11,plain,
    ! [X0,X1,X2] : ifeq(X0,X0,X1,X2) = X1,
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f13,plain,
    ! [X0,X1] : axiom(or(not(X0),or(X1,X0))) = true,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f14,plain,
    ! [X0,X1] : axiom(or(not(or(X0,X1)),or(X1,X0))) = true,
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f17,plain,
    ! [X0] : ifeq(axiom(X0),true,theorem(X0),true) = true,
    inference(cnf_transformation,[status(esa)],[f7]) ).

fof(f19,plain,
    ! [X0,X1,X2] : ifeq(theorem(or(not(X0),X1)),true,ifeq(axiom(or(not(X2),X0)),true,theorem(or(not(X2),X1)),true),true) = true,
    inference(cnf_transformation,[status(esa)],[f9]) ).

fof(f20,plain,
    theorem(or(not(not(p)),or(not(p),q))) != true,
    inference(cnf_transformation,[status(esa)],[f10]) ).

fof(f80,plain,
    ! [X0,X1,X2] : true = ifeq(theorem(or(not(or(X0,X1)),X2)),true,ifeq(true,true,theorem(or(not(X1),X2)),true),true),
    inference(paramodulation,[status(thm)],[f13,f19]) ).

fof(f86,plain,
    ! [X0,X1,X2] : true = ifeq(theorem(or(not(or(X0,X1)),X2)),true,theorem(or(not(X1),X2)),true),
    inference(forward_demodulation,[status(thm)],[f11,f80]) ).

fof(f132,plain,
    ! [X0,X1] : true = ifeq(true,true,theorem(or(not(or(X0,X1)),or(X1,X0))),true),
    inference(paramodulation,[status(thm)],[f14,f17]) ).

fof(f139,plain,
    ! [X0,X1] : true = theorem(or(not(or(X0,X1)),or(X1,X0))),
    inference(forward_demodulation,[status(thm)],[f11,f132]) ).

fof(f259,plain,
    ! [X0,X1] : true = ifeq(true,true,theorem(or(not(X0),or(X0,X1))),true),
    inference(paramodulation,[status(thm)],[f139,f86]) ).

fof(f273,plain,
    ! [X0,X1] : true = theorem(or(not(X0),or(X0,X1))),
    inference(forward_demodulation,[status(thm)],[f11,f259]) ).

fof(f274,plain,
    $false,
    inference(resolution,[status(thm)],[f273,f20]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : LCL186-10 : TPTP v8.1.2. Released v7.5.0.
% 0.13/0.14  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35  % Computer : n014.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Mon Apr 29 20:19:49 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.21/0.36  % Drodi V3.6.0
% 0.21/0.37  % Refutation found
% 0.21/0.37  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.21/0.37  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.21/0.38  % Elapsed time: 0.019733 seconds
% 0.21/0.38  % CPU time: 0.055254 seconds
% 0.21/0.38  % Total memory used: 4.381 MB
% 0.21/0.38  % Net memory used: 4.357 MB
%------------------------------------------------------------------------------