TSTP Solution File: SYN657-1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SYN657-1 : TPTP v8.1.2. Released v2.5.0.
% 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 20:52:45 EDT 2024

% Result   : Unsatisfiable 0.11s 0.33s
% Output   : CNFRefutation 0.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   33 (  10 unt;   0 def)
%            Number of atoms       :   65 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   59 (  27   ~;  29   |;   0   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    8 (   7 usr;   4 prp; 0-2 aty)
%            Number of functors    :   16 (  16 usr;   7 con; 0-3 aty)
%            Number of variables   :   32 (  32   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f11,negated_conjecture,
    ~ p6(c28,f10(c33)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f15,negated_conjecture,
    ! [X82,X83,X84] : p6(f21(f8(X82,f9(X83,X84))),X83),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f25,negated_conjecture,
    ! [X72,X73,X71] :
      ( p6(X72,X73)
      | ~ p6(X71,X72)
      | ~ p6(X71,X73) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f44,negated_conjecture,
    ~ p4(f5(f8(c27,f9(c28,c29)),c36,c31),f5(f8(c27,f9(c28,c29)),c36,c34)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f45,negated_conjecture,
    ! [X20] :
      ( p24(f19(f20(c31,c34)),f19(f20(c31,X20)))
      | ~ p25(X20,f18(f8(c27,f9(c28,c29)))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f48,negated_conjecture,
    ! [X25,X26,X27] :
      ( p6(f21(X25),f10(c33))
      | p25(f22(X25,X26,X27),f18(X25))
      | p4(f5(X25,c36,X26),f5(X25,c36,X27)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f49,negated_conjecture,
    ! [X25,X26,X27] :
      ( p6(f21(X25),f10(c33))
      | p4(f5(X25,c36,X26),f5(X25,c36,X27))
      | ~ p24(f19(f20(X26,X27)),f19(f20(X26,f22(X25,X26,X27)))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f61,plain,
    ~ p6(c28,f10(c33)),
    inference(cnf_transformation,[status(esa)],[f11]) ).

fof(f65,plain,
    ! [X0,X1,X2] : p6(f21(f8(X0,f9(X1,X2))),X1),
    inference(cnf_transformation,[status(esa)],[f15]) ).

fof(f77,plain,
    ! [X73,X71] :
      ( ! [X72] :
          ( p6(X72,X73)
          | ~ p6(X71,X72) )
      | ~ p6(X71,X73) ),
    inference(miniscoping,[status(esa)],[f25]) ).

fof(f78,plain,
    ! [X0,X1,X2] :
      ( p6(X0,X1)
      | ~ p6(X2,X0)
      | ~ p6(X2,X1) ),
    inference(cnf_transformation,[status(esa)],[f77]) ).

fof(f110,plain,
    ~ p4(f5(f8(c27,f9(c28,c29)),c36,c31),f5(f8(c27,f9(c28,c29)),c36,c34)),
    inference(cnf_transformation,[status(esa)],[f44]) ).

fof(f111,plain,
    ! [X0] :
      ( p24(f19(f20(c31,c34)),f19(f20(c31,X0)))
      | ~ p25(X0,f18(f8(c27,f9(c28,c29)))) ),
    inference(cnf_transformation,[status(esa)],[f45]) ).

fof(f116,plain,
    ! [X0,X1,X2] :
      ( p6(f21(X0),f10(c33))
      | p25(f22(X0,X1,X2),f18(X0))
      | p4(f5(X0,c36,X1),f5(X0,c36,X2)) ),
    inference(cnf_transformation,[status(esa)],[f48]) ).

fof(f117,plain,
    ! [X0,X1,X2] :
      ( p6(f21(X0),f10(c33))
      | p4(f5(X0,c36,X1),f5(X0,c36,X2))
      | ~ p24(f19(f20(X1,X2)),f19(f20(X1,f22(X0,X1,X2)))) ),
    inference(cnf_transformation,[status(esa)],[f49]) ).

fof(f119,plain,
    ! [X0] :
      ( ~ p6(X0,c28)
      | ~ p6(X0,f10(c33)) ),
    inference(resolution,[status(thm)],[f78,f61]) ).

fof(f120,plain,
    ! [X0,X1] : ~ p6(f21(f8(X0,f9(c28,X1))),f10(c33)),
    inference(resolution,[status(thm)],[f119,f65]) ).

fof(f266,plain,
    ( spl0_5
  <=> p6(f21(f8(c27,f9(c28,c29))),f10(c33)) ),
    introduced(split_symbol_definition) ).

fof(f267,plain,
    ( p6(f21(f8(c27,f9(c28,c29))),f10(c33))
    | ~ spl0_5 ),
    inference(component_clause,[status(thm)],[f266]) ).

fof(f269,plain,
    ( spl0_6
  <=> p24(f19(f20(c31,c34)),f19(f20(c31,f22(f8(c27,f9(c28,c29)),c31,c34)))) ),
    introduced(split_symbol_definition) ).

fof(f271,plain,
    ( ~ p24(f19(f20(c31,c34)),f19(f20(c31,f22(f8(c27,f9(c28,c29)),c31,c34))))
    | spl0_6 ),
    inference(component_clause,[status(thm)],[f269]) ).

fof(f272,plain,
    ( p6(f21(f8(c27,f9(c28,c29))),f10(c33))
    | ~ p24(f19(f20(c31,c34)),f19(f20(c31,f22(f8(c27,f9(c28,c29)),c31,c34)))) ),
    inference(resolution,[status(thm)],[f117,f110]) ).

fof(f273,plain,
    ( spl0_5
    | ~ spl0_6 ),
    inference(split_clause,[status(thm)],[f272,f266,f269]) ).

fof(f282,plain,
    ( ~ p25(f22(f8(c27,f9(c28,c29)),c31,c34),f18(f8(c27,f9(c28,c29))))
    | spl0_6 ),
    inference(resolution,[status(thm)],[f271,f111]) ).

fof(f296,plain,
    ( spl0_7
  <=> p4(f5(f8(c27,f9(c28,c29)),c36,c31),f5(f8(c27,f9(c28,c29)),c36,c34)) ),
    introduced(split_symbol_definition) ).

fof(f297,plain,
    ( p4(f5(f8(c27,f9(c28,c29)),c36,c31),f5(f8(c27,f9(c28,c29)),c36,c34))
    | ~ spl0_7 ),
    inference(component_clause,[status(thm)],[f296]) ).

fof(f299,plain,
    ( p6(f21(f8(c27,f9(c28,c29))),f10(c33))
    | p4(f5(f8(c27,f9(c28,c29)),c36,c31),f5(f8(c27,f9(c28,c29)),c36,c34))
    | spl0_6 ),
    inference(resolution,[status(thm)],[f282,f116]) ).

fof(f300,plain,
    ( spl0_5
    | spl0_7
    | spl0_6 ),
    inference(split_clause,[status(thm)],[f299,f266,f296,f269]) ).

fof(f302,plain,
    ( $false
    | ~ spl0_5 ),
    inference(forward_subsumption_resolution,[status(thm)],[f267,f120]) ).

fof(f303,plain,
    ~ spl0_5,
    inference(contradiction_clause,[status(thm)],[f302]) ).

fof(f304,plain,
    ( $false
    | ~ spl0_7 ),
    inference(forward_subsumption_resolution,[status(thm)],[f297,f110]) ).

fof(f305,plain,
    ~ spl0_7,
    inference(contradiction_clause,[status(thm)],[f304]) ).

fof(f306,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f273,f300,f303,f305]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13  % Problem  : SYN657-1 : TPTP v8.1.2. Released v2.5.0.
% 0.06/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.32  % Computer : n015.cluster.edu
% 0.07/0.32  % Model    : x86_64 x86_64
% 0.07/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.32  % Memory   : 8042.1875MB
% 0.07/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.32  % CPULimit : 300
% 0.07/0.32  % WCLimit  : 300
% 0.07/0.32  % DateTime : Mon Apr 29 22:21:47 EDT 2024
% 0.07/0.32  % CPUTime  : 
% 0.07/0.32  % Drodi V3.6.0
% 0.11/0.33  % Refutation found
% 0.11/0.33  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.33  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.11/0.34  % Elapsed time: 0.020013 seconds
% 0.11/0.34  % CPU time: 0.072062 seconds
% 0.11/0.34  % Total memory used: 4.062 MB
% 0.11/0.34  % Net memory used: 3.992 MB
%------------------------------------------------------------------------------