%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : ALG199+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n020.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 20:10:53 EDT 2024

% Result   : Theorem 1.30s 0.57s
% Output   : CNFRefutation 1.30s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   40 (  15 unt;   0 def)
%            Number of atoms       :  113 (  70 equ)
%            Maximal formula atoms :   21 (   2 avg)
%            Number of connectives :  132 (  59   ~;  50   |;  16   &)
%                                         (   7 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   8 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   7 con; 0-2 aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f7,conjecture,
    ~ ( op(e0,e0) != e0
      & op(e1,e1) != e1
      & op(e2,e2) != e2
      & op(e3,e3) != e3
      & op(e4,e4) != e4
      & op(e5,e5) != e5
      & op(e6,e6) != e6
      & ( op(e0,e0) = e0
        | op(e1,e1) = e1
        | op(e2,e2) = e2
        | op(e3,e3) = e3
        | op(e4,e4) = e4
        | op(e5,e5) = e5
        | op(e6,e6) = e6 )
      & ( op(e0,e0) != e0
        | op(e1,e1) != e1
        | op(e2,e2) != e2
        | op(e3,e3) != e3
        | op(e4,e4) != e4
        | op(e5,e5) != e5
        | op(e6,e6) != e6 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f8,negated_conjecture,
    ~ ~ ( op(e0,e0) != e0
        & op(e1,e1) != e1
        & op(e2,e2) != e2
        & op(e3,e3) != e3
        & op(e4,e4) != e4
        & op(e5,e5) != e5
        & op(e6,e6) != e6
        & ( op(e0,e0) = e0
          | op(e1,e1) = e1
          | op(e2,e2) = e2
          | op(e3,e3) = e3
          | op(e4,e4) = e4
          | op(e5,e5) = e5
          | op(e6,e6) = e6 )
        & ( op(e0,e0) != e0
          | op(e1,e1) != e1
          | op(e2,e2) != e2
          | op(e3,e3) != e3
          | op(e4,e4) != e4
          | op(e5,e5) != e5
          | op(e6,e6) != e6 ) ),
    inference(negated_conjecture,[status(cth)],[f7]) ).

fof(f526,plain,
    op(e0,e0) != e0,
    inference(cnf_transformation,[status(esa)],[f8]) ).

fof(f527,plain,
    op(e1,e1) != e1,
    inference(cnf_transformation,[status(esa)],[f8]) ).

fof(f528,plain,
    op(e2,e2) != e2,
    inference(cnf_transformation,[status(esa)],[f8]) ).

fof(f529,plain,
    op(e3,e3) != e3,
    inference(cnf_transformation,[status(esa)],[f8]) ).

fof(f530,plain,
    op(e4,e4) != e4,
    inference(cnf_transformation,[status(esa)],[f8]) ).

fof(f531,plain,
    op(e5,e5) != e5,
    inference(cnf_transformation,[status(esa)],[f8]) ).

fof(f532,plain,
    op(e6,e6) != e6,
    inference(cnf_transformation,[status(esa)],[f8]) ).

fof(f533,plain,
    ( op(e0,e0) = e0
    | op(e1,e1) = e1
    | op(e2,e2) = e2
    | op(e3,e3) = e3
    | op(e4,e4) = e4
    | op(e5,e5) = e5
    | op(e6,e6) = e6 ),
    inference(cnf_transformation,[status(esa)],[f8]) ).

fof(f535,plain,
    ( spl0_0
  <=> op(e0,e0) = e0 ),
    introduced(split_symbol_definition) ).

fof(f536,plain,
    ( op(e0,e0) = e0
    | ~ spl0_0 ),
    inference(component_clause,[status(thm)],[f535]) ).

fof(f714,plain,
    ( spl0_57
  <=> op(e1,e1) = e1 ),
    introduced(split_symbol_definition) ).

fof(f715,plain,
    ( op(e1,e1) = e1
    | ~ spl0_57 ),
    inference(component_clause,[status(thm)],[f714]) ).

fof(f893,plain,
    ( spl0_114
  <=> op(e2,e2) = e2 ),
    introduced(split_symbol_definition) ).

fof(f894,plain,
    ( op(e2,e2) = e2
    | ~ spl0_114 ),
    inference(component_clause,[status(thm)],[f893]) ).

fof(f1072,plain,
    ( spl0_171
  <=> op(e3,e3) = e3 ),
    introduced(split_symbol_definition) ).

fof(f1073,plain,
    ( op(e3,e3) = e3
    | ~ spl0_171 ),
    inference(component_clause,[status(thm)],[f1072]) ).

fof(f1251,plain,
    ( spl0_228
  <=> op(e4,e4) = e4 ),
    introduced(split_symbol_definition) ).

fof(f1252,plain,
    ( op(e4,e4) = e4
    | ~ spl0_228 ),
    inference(component_clause,[status(thm)],[f1251]) ).

fof(f1430,plain,
    ( spl0_285
  <=> op(e5,e5) = e5 ),
    introduced(split_symbol_definition) ).

fof(f1431,plain,
    ( op(e5,e5) = e5
    | ~ spl0_285 ),
    inference(component_clause,[status(thm)],[f1430]) ).

fof(f1609,plain,
    ( spl0_342
  <=> op(e6,e6) = e6 ),
    introduced(split_symbol_definition) ).

fof(f1610,plain,
    ( op(e6,e6) = e6
    | ~ spl0_342 ),
    inference(component_clause,[status(thm)],[f1609]) ).

fof(f1711,plain,
    ( spl0_0
    | spl0_57
    | spl0_114
    | spl0_171
    | spl0_228
    | spl0_285
    | spl0_342 ),
    inference(split_clause,[status(thm)],[f533,f535,f714,f893,f1072,f1251,f1430,f1609]) ).

fof(f1713,plain,
    ( $false
    | ~ spl0_342 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1610,f532]) ).

fof(f1714,plain,
    ~ spl0_342,
    inference(contradiction_clause,[status(thm)],[f1713]) ).

fof(f1715,plain,
    ( $false
    | ~ spl0_285 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1431,f531]) ).

fof(f1716,plain,
    ~ spl0_285,
    inference(contradiction_clause,[status(thm)],[f1715]) ).

fof(f1717,plain,
    ( $false
    | ~ spl0_228 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1252,f530]) ).

fof(f1718,plain,
    ~ spl0_228,
    inference(contradiction_clause,[status(thm)],[f1717]) ).

fof(f1719,plain,
    ( $false
    | ~ spl0_171 ),
    inference(forward_subsumption_resolution,[status(thm)],[f1073,f529]) ).

fof(f1720,plain,
    ~ spl0_171,
    inference(contradiction_clause,[status(thm)],[f1719]) ).

fof(f1721,plain,
    ( $false
    | ~ spl0_114 ),
    inference(forward_subsumption_resolution,[status(thm)],[f894,f528]) ).

fof(f1722,plain,
    ~ spl0_114,
    inference(contradiction_clause,[status(thm)],[f1721]) ).

fof(f1723,plain,
    ( $false
    | ~ spl0_0 ),
    inference(forward_subsumption_resolution,[status(thm)],[f536,f526]) ).

fof(f1724,plain,
    ~ spl0_0,
    inference(contradiction_clause,[status(thm)],[f1723]) ).

fof(f1725,plain,
    ( $false
    | ~ spl0_57 ),
    inference(forward_subsumption_resolution,[status(thm)],[f715,f527]) ).

fof(f1726,plain,
    ~ spl0_57,
    inference(contradiction_clause,[status(thm)],[f1725]) ).

fof(f1727,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f1711,f1714,f1716,f1718,f1720,f1722,f1724,f1726]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : ALG199+1 : TPTP v8.1.2. Released v2.7.0.
% 0.03/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34  % Computer : n020.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
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Mon Apr 29 23:26:17 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.21/0.39  % Drodi V3.6.0
% 1.30/0.57  % Refutation found
% 1.30/0.57  % SZS status Theorem for theBenchmark: Theorem is valid
% 1.30/0.57  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.30/0.58  % Elapsed time: 0.224658 seconds
% 1.30/0.58  % CPU time: 1.452720 seconds
% 1.30/0.58  % Total memory used: 45.842 MB
% 1.30/0.58  % Net memory used: 44.813 MB
%------------------------------------------------------------------------------