%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SYO611-1 : TPTP v8.1.2. Released v7.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n015.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 20:54:35 EDT 2024

% Result   : Unsatisfiable 0.14s 0.36s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   15 (   9 unt;   0 def)
%            Number of atoms       :   23 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   20 (  12   ~;   8   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   1 con; 0-2 aty)
%            Number of variables   :   30 (  30   !;   0   ?)

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

fof(f2,axiom,
    ! [A,B,C] :
      ( ~ le(max(A,B),C)
      | le(A,C) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f4,axiom,
    ! [A] : eq(f(A),a0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f5,axiom,
    ! [A0,A1] :
      ( ~ eq(f(A0),a0)
      | ~ eq(f(A1),a0)
      | ~ le(s(A0),A1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f6,plain,
    ! [X0] : le(X0,X0),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f7,plain,
    ! [A,C] :
      ( ! [B] : ~ le(max(A,B),C)
      | le(A,C) ),
    inference(miniscoping,[status(esa)],[f2]) ).

fof(f8,plain,
    ! [X0,X1,X2] :
      ( ~ le(max(X0,X1),X2)
      | le(X0,X2) ),
    inference(cnf_transformation,[status(esa)],[f7]) ).

fof(f11,plain,
    ! [X0] : eq(f(X0),a0),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f12,plain,
    ! [X0,X1] :
      ( ~ eq(f(X0),a0)
      | ~ eq(f(X1),a0)
      | ~ le(s(X0),X1) ),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f13,plain,
    ! [X0,X1] : le(X0,max(X0,X1)),
    inference(resolution,[status(thm)],[f8,f6]) ).

fof(f14,plain,
    ! [X0,X1,X2] : le(X0,max(max(X0,X1),X2)),
    inference(resolution,[status(thm)],[f13,f8]) ).

fof(f15,plain,
    ! [X0,X1,X2,X3] : le(X0,max(max(max(X0,X1),X2),X3)),
    inference(resolution,[status(thm)],[f14,f8]) ).

fof(f29,plain,
    ! [X0,X1] :
      ( ~ eq(f(X0),a0)
      | ~ le(s(X1),X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f12,f11]) ).

fof(f30,plain,
    ! [X0,X1] : ~ le(s(X0),X1),
    inference(resolution,[status(thm)],[f29,f11]) ).

fof(f31,plain,
    $false,
    inference(resolution,[status(thm)],[f30,f15]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYO611-1 : TPTP v8.1.2. Released v7.1.0.
% 0.07/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34  % Computer : n015.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Mon Apr 29 21:40:17 EDT 2024
% 0.14/0.34  % CPUTime  : 
% 0.14/0.35  % Drodi V3.6.0
% 0.14/0.36  % Refutation found
% 0.14/0.36  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.36  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.38  % Elapsed time: 0.014741 seconds
% 0.14/0.38  % CPU time: 0.016184 seconds
% 0.14/0.38  % Total memory used: 120.048 KB
% 0.14/0.38  % Net memory used: 116.528 KB
%------------------------------------------------------------------------------