TSTP Solution File: SYN710-1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SYN710-1 : 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 20:52:53 EDT 2024

% Result   : Unsatisfiable 0.16s 0.39s
% Output   : CNFRefutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   24 (   7 unt;   0 def)
%            Number of atoms       :   44 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   37 (  17   ~;  19   |;   0   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   2 prp; 0-2 aty)
%            Number of functors    :   15 (  15 usr;   8 con; 0-2 aty)
%            Number of variables   :   31 (  31   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f25,negated_conjecture,
    ~ p33(f11(c46,c50),f9(c47,c43)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f50,negated_conjecture,
    p33(f11(c46,f13(f16(c48,c49),c50)),f9(c47,c43)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f72,negated_conjecture,
    ! [X79,X80] :
      ( p33(f11(c46,X79),X80)
      | p33(f18(c51,f20(f22(c52,X79),X80)),X79) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f73,negated_conjecture,
    ! [X79,X80] :
      ( p33(f11(c46,X79),X80)
      | ~ p33(f18(c51,f20(f22(c52,X79),X80)),X80) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f75,negated_conjecture,
    ! [X13,X14,X15] :
      ( p33(f18(c51,X13),f13(f16(c48,X14),X15))
      | ~ p33(f18(c51,X13),X15) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f80,negated_conjecture,
    ! [X81,X80,X79] :
      ( p33(f18(c51,X81),X80)
      | ~ p33(f11(c46,X79),X80)
      | ~ p33(f18(c51,X81),X79) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f112,plain,
    ~ p33(f11(c46,c50),f9(c47,c43)),
    inference(cnf_transformation,[status(esa)],[f25]) ).

fof(f156,plain,
    p33(f11(c46,f13(f16(c48,c49),c50)),f9(c47,c43)),
    inference(cnf_transformation,[status(esa)],[f50]) ).

fof(f198,plain,
    ! [X0,X1] :
      ( p33(f11(c46,X0),X1)
      | p33(f18(c51,f20(f22(c52,X0),X1)),X0) ),
    inference(cnf_transformation,[status(esa)],[f72]) ).

fof(f199,plain,
    ! [X0,X1] :
      ( p33(f11(c46,X0),X1)
      | ~ p33(f18(c51,f20(f22(c52,X0),X1)),X1) ),
    inference(cnf_transformation,[status(esa)],[f73]) ).

fof(f202,plain,
    ! [X13,X15] :
      ( ! [X14] : p33(f18(c51,X13),f13(f16(c48,X14),X15))
      | ~ p33(f18(c51,X13),X15) ),
    inference(miniscoping,[status(esa)],[f75]) ).

fof(f203,plain,
    ! [X0,X1,X2] :
      ( p33(f18(c51,X0),f13(f16(c48,X1),X2))
      | ~ p33(f18(c51,X0),X2) ),
    inference(cnf_transformation,[status(esa)],[f202]) ).

fof(f212,plain,
    ! [X81,X79] :
      ( ! [X80] :
          ( p33(f18(c51,X81),X80)
          | ~ p33(f11(c46,X79),X80) )
      | ~ p33(f18(c51,X81),X79) ),
    inference(miniscoping,[status(esa)],[f80]) ).

fof(f213,plain,
    ! [X0,X1,X2] :
      ( p33(f18(c51,X0),X1)
      | ~ p33(f11(c46,X2),X1)
      | ~ p33(f18(c51,X0),X2) ),
    inference(cnf_transformation,[status(esa)],[f212]) ).

fof(f295,plain,
    ! [X0,X1,X2] :
      ( p33(f18(c51,f20(f22(c52,X0),X1)),f13(f16(c48,X2),X0))
      | p33(f11(c46,X0),X1) ),
    inference(resolution,[status(thm)],[f203,f198]) ).

fof(f297,plain,
    ! [X0] :
      ( p33(f18(c51,X0),f9(c47,c43))
      | ~ p33(f18(c51,X0),f13(f16(c48,c49),c50)) ),
    inference(resolution,[status(thm)],[f213,f156]) ).

fof(f466,plain,
    ! [X0] :
      ( p33(f18(c51,f20(f22(c52,c50),X0)),f9(c47,c43))
      | p33(f11(c46,c50),X0) ),
    inference(resolution,[status(thm)],[f297,f295]) ).

fof(f511,plain,
    ( spl0_15
  <=> p33(f11(c46,c50),f9(c47,c43)) ),
    introduced(split_symbol_definition) ).

fof(f512,plain,
    ( p33(f11(c46,c50),f9(c47,c43))
    | ~ spl0_15 ),
    inference(component_clause,[status(thm)],[f511]) ).

fof(f514,plain,
    ( p33(f11(c46,c50),f9(c47,c43))
    | p33(f11(c46,c50),f9(c47,c43)) ),
    inference(resolution,[status(thm)],[f466,f199]) ).

fof(f515,plain,
    spl0_15,
    inference(split_clause,[status(thm)],[f514,f511]) ).

fof(f518,plain,
    ( $false
    | ~ spl0_15 ),
    inference(forward_subsumption_resolution,[status(thm)],[f512,f112]) ).

fof(f519,plain,
    ~ spl0_15,
    inference(contradiction_clause,[status(thm)],[f518]) ).

fof(f520,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f515,f519]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYN710-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.33  % Computer : n025.cluster.edu
% 0.10/0.33  % Model    : x86_64 x86_64
% 0.10/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.33  % Memory   : 8042.1875MB
% 0.10/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.33  % CPULimit : 300
% 0.10/0.33  % WCLimit  : 300
% 0.10/0.33  % DateTime : Mon Apr 29 22:29:11 EDT 2024
% 0.10/0.33  % CPUTime  : 
% 0.10/0.34  % Drodi V3.6.0
% 0.16/0.39  % Refutation found
% 0.16/0.39  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/0.39  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.39  % Elapsed time: 0.055483 seconds
% 0.16/0.39  % CPU time: 0.323109 seconds
% 0.16/0.39  % Total memory used: 15.724 MB
% 0.16/0.39  % Net memory used: 15.535 MB
%------------------------------------------------------------------------------