TSTP Solution File: SYN656-1 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SYN656-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n023.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 : Wed May 31 12:47:19 EDT 2023

% Result   : Unsatisfiable 0.18s 0.41s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   31 (  13 unt;   0 def)
%            Number of atoms       :   62 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   61 (  30   ~;  31   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   7 con; 0-2 aty)
%            Number of variables   :   55 (;  55   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f5,negated_conjecture,
    ! [X75] : p4(X75,X75),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f6,negated_conjecture,
    ! [X64] : p3(X64,X64),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f22,negated_conjecture,
    ! [X65,X66,X64] :
      ( p3(X65,X66)
      | ~ p3(X64,X65)
      | ~ p3(X64,X66) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f31,negated_conjecture,
    ! [X58] : p25(f5(c29,f13(c31,f15(c32,X58))),f13(c31,X58)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f32,negated_conjecture,
    ! [X55,X56,X57] :
      ( p25(f5(f7(c28,X55),X56),X57)
      | ~ p25(f5(X55,X56),X57) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f35,negated_conjecture,
    ! [X51,X52,X54,X53] :
      ( p25(X51,X52)
      | ~ p3(X54,X52)
      | ~ p4(X53,X51)
      | ~ p25(X53,X54) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f45,negated_conjecture,
    ~ p25(f5(f7(c28,c29),f13(c31,f15(c32,f15(f17(c33,c34),c35)))),f13(c31,c34)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f46,negated_conjecture,
    ! [X55,X56,X57,X62] :
      ( p25(f5(f7(c28,X55),X56),X57)
      | ~ p25(f5(X55,X56),X62)
      | ~ p25(f5(f7(c28,X55),X62),X57) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f49,negated_conjecture,
    ! [X63] :
      ( p3(f13(c31,c34),f13(c31,f15(f17(c33,c34),X63)))
      | p25(f5(f7(c28,c29),f13(c31,f15(f17(c33,c34),X63))),f13(c31,c34)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f54,plain,
    ! [X0] : p4(X0,X0),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f55,plain,
    ! [X0] : p3(X0,X0),
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f76,plain,
    ! [X66,X64] :
      ( ! [X65] :
          ( p3(X65,X66)
          | ~ p3(X64,X65) )
      | ~ p3(X64,X66) ),
    inference(miniscoping,[status(esa)],[f22]) ).

fof(f77,plain,
    ! [X0,X1,X2] :
      ( p3(X0,X1)
      | ~ p3(X2,X0)
      | ~ p3(X2,X1) ),
    inference(cnf_transformation,[status(esa)],[f76]) ).

fof(f94,plain,
    ! [X0] : p25(f5(c29,f13(c31,f15(c32,X0))),f13(c31,X0)),
    inference(cnf_transformation,[status(esa)],[f31]) ).

fof(f95,plain,
    ! [X0,X1,X2] :
      ( p25(f5(f7(c28,X0),X1),X2)
      | ~ p25(f5(X0,X1),X2) ),
    inference(cnf_transformation,[status(esa)],[f32]) ).

fof(f99,plain,
    ! [X54,X53] :
      ( ! [X51] :
          ( ! [X52] :
              ( p25(X51,X52)
              | ~ p3(X54,X52) )
          | ~ p4(X53,X51) )
      | ~ p25(X53,X54) ),
    inference(miniscoping,[status(esa)],[f35]) ).

fof(f100,plain,
    ! [X0,X1,X2,X3] :
      ( p25(X0,X1)
      | ~ p3(X2,X1)
      | ~ p4(X3,X0)
      | ~ p25(X3,X2) ),
    inference(cnf_transformation,[status(esa)],[f99]) ).

fof(f119,plain,
    ~ p25(f5(f7(c28,c29),f13(c31,f15(c32,f15(f17(c33,c34),c35)))),f13(c31,c34)),
    inference(cnf_transformation,[status(esa)],[f45]) ).

fof(f120,plain,
    ! [X55,X57,X62] :
      ( ! [X56] :
          ( p25(f5(f7(c28,X55),X56),X57)
          | ~ p25(f5(X55,X56),X62) )
      | ~ p25(f5(f7(c28,X55),X62),X57) ),
    inference(miniscoping,[status(esa)],[f46]) ).

fof(f121,plain,
    ! [X0,X1,X2,X3] :
      ( p25(f5(f7(c28,X0),X1),X2)
      | ~ p25(f5(X0,X1),X3)
      | ~ p25(f5(f7(c28,X0),X3),X2) ),
    inference(cnf_transformation,[status(esa)],[f120]) ).

fof(f124,plain,
    ! [X0] :
      ( p3(f13(c31,c34),f13(c31,f15(f17(c33,c34),X0)))
      | p25(f5(f7(c28,c29),f13(c31,f15(f17(c33,c34),X0))),f13(c31,c34)) ),
    inference(cnf_transformation,[status(esa)],[f49]) ).

fof(f128,plain,
    ! [X0] : p25(f5(f7(c28,c29),f13(c31,f15(c32,X0))),f13(c31,X0)),
    inference(resolution,[status(thm)],[f95,f94]) ).

fof(f151,plain,
    ! [X0,X1] :
      ( p25(f5(f7(c28,c29),f13(c31,f15(c32,X0))),X1)
      | ~ p25(f5(f7(c28,c29),f13(c31,X0)),X1) ),
    inference(resolution,[status(thm)],[f121,f94]) ).

fof(f192,plain,
    ! [X0] :
      ( p3(f13(c31,c34),f13(c31,f15(f17(c33,c34),X0)))
      | p25(f5(f7(c28,c29),f13(c31,f15(c32,f15(f17(c33,c34),X0)))),f13(c31,c34)) ),
    inference(resolution,[status(thm)],[f124,f151]) ).

fof(f275,plain,
    p3(f13(c31,c34),f13(c31,f15(f17(c33,c34),c35))),
    inference(resolution,[status(thm)],[f192,f119]) ).

fof(f286,plain,
    ! [X0] :
      ( p3(f13(c31,f15(f17(c33,c34),c35)),X0)
      | ~ p3(f13(c31,c34),X0) ),
    inference(resolution,[status(thm)],[f275,f77]) ).

fof(f288,plain,
    p3(f13(c31,f15(f17(c33,c34),c35)),f13(c31,c34)),
    inference(resolution,[status(thm)],[f286,f55]) ).

fof(f293,plain,
    ! [X0,X1] :
      ( p25(X0,f13(c31,c34))
      | ~ p4(X1,X0)
      | ~ p25(X1,f13(c31,f15(f17(c33,c34),c35))) ),
    inference(resolution,[status(thm)],[f288,f100]) ).

fof(f352,plain,
    ! [X0] :
      ( p25(X0,f13(c31,c34))
      | ~ p25(X0,f13(c31,f15(f17(c33,c34),c35))) ),
    inference(resolution,[status(thm)],[f293,f54]) ).

fof(f375,plain,
    p25(f5(f7(c28,c29),f13(c31,f15(c32,f15(f17(c33,c34),c35)))),f13(c31,c34)),
    inference(resolution,[status(thm)],[f352,f128]) ).

fof(f376,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f375,f119]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SYN656-1 : TPTP v8.1.2. Released v2.5.0.
% 0.03/0.11  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33  % Computer : n023.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Tue May 30 10:41:08 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.12/0.34  % Drodi V3.5.1
% 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
% 0.18/0.43  % Elapsed time: 0.097724 seconds
% 0.18/0.43  % CPU time: 0.337580 seconds
% 0.18/0.43  % Memory used: 9.408 MB
%------------------------------------------------------------------------------