TSTP Solution File: SYN643-1 by Drodi---3.6.0

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%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SYN643-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n025.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 20:52:43 EDT 2024

% Result   : Unsatisfiable 0.13s 0.40s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   47 (  17 unt;   0 def)
%            Number of atoms       :   91 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   86 (  42   ~;  39   |;   0   &)
%                                         (   5 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    8 (   7 usr;   6 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   2 con; 0-2 aty)
%            Number of variables   :   33 (  33   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
    p15(f3(c19)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2,negated_conjecture,
    p15(f3(c18)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f5,negated_conjecture,
    ! [X36] : p4(X36,X36),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f10,negated_conjecture,
    p4(f5(f3(c18)),f5(c18)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f11,negated_conjecture,
    p4(f5(f3(c19)),f5(c19)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f24,negated_conjecture,
    ! [X37,X38,X36] :
      ( p4(X37,X38)
      | ~ p4(X36,X37)
      | ~ p4(X36,X38) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f28,negated_conjecture,
    ~ p4(f5(f10(f3(c19),f3(c18))),f9(f5(c19),f5(c18))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f35,negated_conjecture,
    ! [X41,X42,X43,X44] :
      ( p4(f9(X41,X42),f9(X43,X44))
      | ~ p4(X42,X44)
      | ~ p4(X41,X43) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f37,negated_conjecture,
    ! [X14,X15] :
      ( p4(f5(f10(X14,X15)),f9(f5(X14),f5(X15)))
      | ~ p15(X14)
      | ~ p15(X15) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f43,plain,
    p15(f3(c19)),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f44,plain,
    p15(f3(c18)),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f47,plain,
    ! [X0] : p4(X0,X0),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f52,plain,
    p4(f5(f3(c18)),f5(c18)),
    inference(cnf_transformation,[status(esa)],[f10]) ).

fof(f53,plain,
    p4(f5(f3(c19)),f5(c19)),
    inference(cnf_transformation,[status(esa)],[f11]) ).

fof(f69,plain,
    ! [X38,X36] :
      ( ! [X37] :
          ( p4(X37,X38)
          | ~ p4(X36,X37) )
      | ~ p4(X36,X38) ),
    inference(miniscoping,[status(esa)],[f24]) ).

fof(f70,plain,
    ! [X0,X1,X2] :
      ( p4(X0,X1)
      | ~ p4(X2,X0)
      | ~ p4(X2,X1) ),
    inference(cnf_transformation,[status(esa)],[f69]) ).

fof(f77,plain,
    ~ p4(f5(f10(f3(c19),f3(c18))),f9(f5(c19),f5(c18))),
    inference(cnf_transformation,[status(esa)],[f28]) ).

fof(f86,plain,
    ! [X41,X43] :
      ( ! [X42,X44] :
          ( p4(f9(X41,X42),f9(X43,X44))
          | ~ p4(X42,X44) )
      | ~ p4(X41,X43) ),
    inference(miniscoping,[status(esa)],[f35]) ).

fof(f87,plain,
    ! [X0,X1,X2,X3] :
      ( p4(f9(X0,X1),f9(X2,X3))
      | ~ p4(X1,X3)
      | ~ p4(X0,X2) ),
    inference(cnf_transformation,[status(esa)],[f86]) ).

fof(f90,plain,
    ! [X15] :
      ( ! [X14] :
          ( p4(f5(f10(X14,X15)),f9(f5(X14),f5(X15)))
          | ~ p15(X14) )
      | ~ p15(X15) ),
    inference(miniscoping,[status(esa)],[f37]) ).

fof(f91,plain,
    ! [X0,X1] :
      ( p4(f5(f10(X0,X1)),f9(f5(X0),f5(X1)))
      | ~ p15(X0)
      | ~ p15(X1) ),
    inference(cnf_transformation,[status(esa)],[f90]) ).

fof(f143,plain,
    ! [X0] :
      ( ~ p4(X0,f5(f10(f3(c19),f3(c18))))
      | ~ p4(X0,f9(f5(c19),f5(c18))) ),
    inference(resolution,[status(thm)],[f77,f70]) ).

fof(f159,plain,
    ! [X0,X1] :
      ( ~ p4(X0,f9(f5(c19),f5(c18)))
      | ~ p4(X1,X0)
      | ~ p4(X1,f5(f10(f3(c19),f3(c18)))) ),
    inference(resolution,[status(thm)],[f143,f70]) ).

fof(f176,plain,
    ! [X0] :
      ( ~ p4(X0,f9(f5(c19),f5(c18)))
      | ~ p4(f5(f10(f3(c19),f3(c18))),X0) ),
    inference(resolution,[status(thm)],[f159,f47]) ).

fof(f177,plain,
    ( spl0_0
  <=> p4(f9(f5(f3(c19)),f5(f3(c18))),f9(f5(c19),f5(c18))) ),
    introduced(split_symbol_definition) ).

fof(f179,plain,
    ( ~ p4(f9(f5(f3(c19)),f5(f3(c18))),f9(f5(c19),f5(c18)))
    | spl0_0 ),
    inference(component_clause,[status(thm)],[f177]) ).

fof(f180,plain,
    ( spl0_1
  <=> p15(f3(c19)) ),
    introduced(split_symbol_definition) ).

fof(f182,plain,
    ( ~ p15(f3(c19))
    | spl0_1 ),
    inference(component_clause,[status(thm)],[f180]) ).

fof(f183,plain,
    ( spl0_2
  <=> p15(f3(c18)) ),
    introduced(split_symbol_definition) ).

fof(f185,plain,
    ( ~ p15(f3(c18))
    | spl0_2 ),
    inference(component_clause,[status(thm)],[f183]) ).

fof(f186,plain,
    ( ~ p4(f9(f5(f3(c19)),f5(f3(c18))),f9(f5(c19),f5(c18)))
    | ~ p15(f3(c19))
    | ~ p15(f3(c18)) ),
    inference(resolution,[status(thm)],[f176,f91]) ).

fof(f187,plain,
    ( ~ spl0_0
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(split_clause,[status(thm)],[f186,f177,f180,f183]) ).

fof(f191,plain,
    ( $false
    | spl0_2 ),
    inference(forward_subsumption_resolution,[status(thm)],[f185,f44]) ).

fof(f192,plain,
    spl0_2,
    inference(contradiction_clause,[status(thm)],[f191]) ).

fof(f193,plain,
    ( spl0_3
  <=> p4(f5(f3(c18)),f5(c18)) ),
    introduced(split_symbol_definition) ).

fof(f195,plain,
    ( ~ p4(f5(f3(c18)),f5(c18))
    | spl0_3 ),
    inference(component_clause,[status(thm)],[f193]) ).

fof(f196,plain,
    ( spl0_4
  <=> p4(f5(f3(c19)),f5(c19)) ),
    introduced(split_symbol_definition) ).

fof(f198,plain,
    ( ~ p4(f5(f3(c19)),f5(c19))
    | spl0_4 ),
    inference(component_clause,[status(thm)],[f196]) ).

fof(f199,plain,
    ( ~ p4(f5(f3(c18)),f5(c18))
    | ~ p4(f5(f3(c19)),f5(c19))
    | spl0_0 ),
    inference(resolution,[status(thm)],[f179,f87]) ).

fof(f200,plain,
    ( ~ spl0_3
    | ~ spl0_4
    | spl0_0 ),
    inference(split_clause,[status(thm)],[f199,f193,f196,f177]) ).

fof(f202,plain,
    ( $false
    | spl0_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[f182,f43]) ).

fof(f203,plain,
    spl0_1,
    inference(contradiction_clause,[status(thm)],[f202]) ).

fof(f204,plain,
    ( $false
    | spl0_3 ),
    inference(forward_subsumption_resolution,[status(thm)],[f195,f52]) ).

fof(f205,plain,
    spl0_3,
    inference(contradiction_clause,[status(thm)],[f204]) ).

fof(f206,plain,
    ( $false
    | spl0_4 ),
    inference(forward_subsumption_resolution,[status(thm)],[f198,f53]) ).

fof(f207,plain,
    spl0_4,
    inference(contradiction_clause,[status(thm)],[f206]) ).

fof(f208,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f187,f192,f200,f203,f205,f207]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.14  % Problem  : SYN643-1 : TPTP v8.1.2. Released v2.5.0.
% 0.11/0.15  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.37  % Computer : n025.cluster.edu
% 0.13/0.37  % Model    : x86_64 x86_64
% 0.13/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.37  % Memory   : 8042.1875MB
% 0.13/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.37  % CPULimit : 300
% 0.13/0.37  % WCLimit  : 300
% 0.13/0.37  % DateTime : Mon Apr 29 22:16:56 EDT 2024
% 0.13/0.37  % CPUTime  : 
% 0.13/0.38  % Drodi V3.6.0
% 0.13/0.40  % Refutation found
% 0.13/0.40  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.40  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.41  % Elapsed time: 0.027676 seconds
% 0.13/0.41  % CPU time: 0.113271 seconds
% 0.13/0.41  % Total memory used: 3.952 MB
% 0.13/0.41  % Net memory used: 3.865 MB
%------------------------------------------------------------------------------