TSTP Solution File: SYN642-1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SYN642-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n005.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 0.18s 0.41s
% Output   : CNFRefutation 0.18s
% 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/sandbox/benchmark/theBenchmark.p') ).

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

fof(f4,negated_conjecture,
    ! [X45] : p6(X45,X45),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f9,negated_conjecture,
    p6(f8(f3(c19)),f8(c19)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f14,negated_conjecture,
    p6(f8(f3(c18)),f8(c18)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f23,negated_conjecture,
    ! [X46,X47,X45] :
      ( p6(X46,X47)
      | ~ p6(X45,X46)
      | ~ p6(X45,X47) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f28,negated_conjecture,
    ~ p6(f8(f10(f3(c19),f3(c18))),f9(f8(c19),f8(c18))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f33,negated_conjecture,
    ! [X52,X53,X54,X55] :
      ( p6(f9(X52,X53),f9(X54,X55))
      | ~ p6(X53,X55)
      | ~ p6(X52,X54) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f36,negated_conjecture,
    ! [X14,X15] :
      ( p6(f8(f10(X14,X15)),f9(f8(X14),f8(X15)))
      | ~ p15(X14)
      | ~ p15(X15) ),
    file('/export/starexec/sandbox/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(f46,plain,
    ! [X0] : p6(X0,X0),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f51,plain,
    p6(f8(f3(c19)),f8(c19)),
    inference(cnf_transformation,[status(esa)],[f9]) ).

fof(f56,plain,
    p6(f8(f3(c18)),f8(c18)),
    inference(cnf_transformation,[status(esa)],[f14]) ).

fof(f67,plain,
    ! [X47,X45] :
      ( ! [X46] :
          ( p6(X46,X47)
          | ~ p6(X45,X46) )
      | ~ p6(X45,X47) ),
    inference(miniscoping,[status(esa)],[f23]) ).

fof(f68,plain,
    ! [X0,X1,X2] :
      ( p6(X0,X1)
      | ~ p6(X2,X0)
      | ~ p6(X2,X1) ),
    inference(cnf_transformation,[status(esa)],[f67]) ).

fof(f77,plain,
    ~ p6(f8(f10(f3(c19),f3(c18))),f9(f8(c19),f8(c18))),
    inference(cnf_transformation,[status(esa)],[f28]) ).

fof(f82,plain,
    ! [X52,X54] :
      ( ! [X53,X55] :
          ( p6(f9(X52,X53),f9(X54,X55))
          | ~ p6(X53,X55) )
      | ~ p6(X52,X54) ),
    inference(miniscoping,[status(esa)],[f33]) ).

fof(f83,plain,
    ! [X0,X1,X2,X3] :
      ( p6(f9(X0,X1),f9(X2,X3))
      | ~ p6(X1,X3)
      | ~ p6(X0,X2) ),
    inference(cnf_transformation,[status(esa)],[f82]) ).

fof(f88,plain,
    ! [X15] :
      ( ! [X14] :
          ( p6(f8(f10(X14,X15)),f9(f8(X14),f8(X15)))
          | ~ p15(X14) )
      | ~ p15(X15) ),
    inference(miniscoping,[status(esa)],[f36]) ).

fof(f89,plain,
    ! [X0,X1] :
      ( p6(f8(f10(X0,X1)),f9(f8(X0),f8(X1)))
      | ~ p15(X0)
      | ~ p15(X1) ),
    inference(cnf_transformation,[status(esa)],[f88]) ).

fof(f143,plain,
    ! [X0] :
      ( ~ p6(X0,f8(f10(f3(c19),f3(c18))))
      | ~ p6(X0,f9(f8(c19),f8(c18))) ),
    inference(resolution,[status(thm)],[f77,f68]) ).

fof(f159,plain,
    ! [X0,X1] :
      ( ~ p6(X0,f9(f8(c19),f8(c18)))
      | ~ p6(X1,X0)
      | ~ p6(X1,f8(f10(f3(c19),f3(c18)))) ),
    inference(resolution,[status(thm)],[f143,f68]) ).

fof(f176,plain,
    ! [X0] :
      ( ~ p6(X0,f9(f8(c19),f8(c18)))
      | ~ p6(f8(f10(f3(c19),f3(c18))),X0) ),
    inference(resolution,[status(thm)],[f159,f46]) ).

fof(f177,plain,
    ( spl0_0
  <=> p6(f9(f8(f3(c19)),f8(f3(c18))),f9(f8(c19),f8(c18))) ),
    introduced(split_symbol_definition) ).

fof(f179,plain,
    ( ~ p6(f9(f8(f3(c19)),f8(f3(c18))),f9(f8(c19),f8(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,
    ( ~ p6(f9(f8(f3(c19)),f8(f3(c18))),f9(f8(c19),f8(c18)))
    | ~ p15(f3(c19))
    | ~ p15(f3(c18)) ),
    inference(resolution,[status(thm)],[f176,f89]) ).

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
  <=> p6(f8(f3(c18)),f8(c18)) ),
    introduced(split_symbol_definition) ).

fof(f195,plain,
    ( ~ p6(f8(f3(c18)),f8(c18))
    | spl0_3 ),
    inference(component_clause,[status(thm)],[f193]) ).

fof(f196,plain,
    ( spl0_4
  <=> p6(f8(f3(c19)),f8(c19)) ),
    introduced(split_symbol_definition) ).

fof(f198,plain,
    ( ~ p6(f8(f3(c19)),f8(c19))
    | spl0_4 ),
    inference(component_clause,[status(thm)],[f196]) ).

fof(f199,plain,
    ( ~ p6(f8(f3(c18)),f8(c18))
    | ~ p6(f8(f3(c19)),f8(c19))
    | spl0_0 ),
    inference(resolution,[status(thm)],[f179,f83]) ).

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,f56]) ).

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

fof(f206,plain,
    ( $false
    | spl0_4 ),
    inference(forward_subsumption_resolution,[status(thm)],[f198,f51]) ).

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
% 0.12/0.17  % Problem  : SYN642-1 : TPTP v8.1.2. Released v2.5.0.
% 0.12/0.17  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.38  % Computer : n005.cluster.edu
% 0.12/0.38  % Model    : x86_64 x86_64
% 0.12/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38  % Memory   : 8042.1875MB
% 0.12/0.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.38  % CPULimit : 300
% 0.12/0.38  % WCLimit  : 300
% 0.12/0.38  % DateTime : Mon Apr 29 21:55:41 EDT 2024
% 0.12/0.38  % CPUTime  : 
% 0.12/0.39  % Drodi V3.6.0
% 0.18/0.41  % Refutation found
% 0.18/0.41  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.18/0.41  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.18/0.42  % Elapsed time: 0.035490 seconds
% 0.18/0.42  % CPU time: 0.184309 seconds
% 0.18/0.42  % Total memory used: 7.481 MB
% 0.18/0.42  % Net memory used: 7.385 MB
%------------------------------------------------------------------------------