TSTP Solution File: SYN582-1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SYN582-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n026.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 20:52:34 EDT 2024

% Result   : Unsatisfiable 0.13s 0.37s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   25 (  12 unt;   0 def)
%            Number of atoms       :   49 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   51 (  27   ~;  24   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :   39 (  39   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2,negated_conjecture,
    ! [X18] : p2(X18,X18),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f3,negated_conjecture,
    ! [X31] : p5(X31,X31),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f5,negated_conjecture,
    p2(c13,c18),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f7,negated_conjecture,
    p11(f4(f6(c15,c13)),c16),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f9,negated_conjecture,
    ~ p11(f4(f6(c15,c18)),c16),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f14,negated_conjecture,
    ! [X23,X24] :
      ( p2(f4(X23),f4(X24))
      | ~ p2(X23,X24) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f21,negated_conjecture,
    ! [X7,X8,X9,X10] :
      ( p11(X7,X8)
      | ~ p2(X9,X7)
      | ~ p2(X10,X8)
      | ~ p11(X9,X10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f23,negated_conjecture,
    ! [X25,X26,X27,X28] :
      ( p2(f6(X25,X26),f6(X27,X28))
      | ~ p2(X26,X28)
      | ~ p5(X25,X27) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f27,plain,
    ! [X0] : p2(X0,X0),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f28,plain,
    ! [X0] : p5(X0,X0),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f30,plain,
    p2(c13,c18),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f32,plain,
    p11(f4(f6(c15,c13)),c16),
    inference(cnf_transformation,[status(esa)],[f7]) ).

fof(f34,plain,
    ~ p11(f4(f6(c15,c18)),c16),
    inference(cnf_transformation,[status(esa)],[f9]) ).

fof(f39,plain,
    ! [X0,X1] :
      ( p2(f4(X0),f4(X1))
      | ~ p2(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f14]) ).

fof(f49,plain,
    ! [X9,X10] :
      ( ! [X8] :
          ( ! [X7] :
              ( p11(X7,X8)
              | ~ p2(X9,X7) )
          | ~ p2(X10,X8) )
      | ~ p11(X9,X10) ),
    inference(miniscoping,[status(esa)],[f21]) ).

fof(f50,plain,
    ! [X0,X1,X2,X3] :
      ( p11(X0,X1)
      | ~ p2(X2,X0)
      | ~ p2(X3,X1)
      | ~ p11(X2,X3) ),
    inference(cnf_transformation,[status(esa)],[f49]) ).

fof(f53,plain,
    ! [X25,X27] :
      ( ! [X26,X28] :
          ( p2(f6(X25,X26),f6(X27,X28))
          | ~ p2(X26,X28) )
      | ~ p5(X25,X27) ),
    inference(miniscoping,[status(esa)],[f23]) ).

fof(f54,plain,
    ! [X0,X1,X2,X3] :
      ( p2(f6(X0,X1),f6(X2,X3))
      | ~ p2(X1,X3)
      | ~ p5(X0,X2) ),
    inference(cnf_transformation,[status(esa)],[f53]) ).

fof(f83,plain,
    ! [X0,X1] :
      ( p11(X0,X1)
      | ~ p2(f4(f6(c15,c13)),X0)
      | ~ p2(c16,X1) ),
    inference(resolution,[status(thm)],[f32,f50]) ).

fof(f130,plain,
    ! [X0] :
      ( p11(X0,c16)
      | ~ p2(f4(f6(c15,c13)),X0) ),
    inference(resolution,[status(thm)],[f83,f27]) ).

fof(f131,plain,
    ! [X0] :
      ( p11(f4(X0),c16)
      | ~ p2(f6(c15,c13),X0) ),
    inference(resolution,[status(thm)],[f130,f39]) ).

fof(f134,plain,
    ! [X0,X1] :
      ( p11(f4(f6(X0,X1)),c16)
      | ~ p2(c13,X1)
      | ~ p5(c15,X0) ),
    inference(resolution,[status(thm)],[f131,f54]) ).

fof(f149,plain,
    ! [X0] :
      ( p11(f4(f6(c15,X0)),c16)
      | ~ p2(c13,X0) ),
    inference(resolution,[status(thm)],[f134,f28]) ).

fof(f150,plain,
    ~ p2(c13,c18),
    inference(resolution,[status(thm)],[f149,f34]) ).

fof(f151,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f150,f30]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SYN582-1 : TPTP v8.1.2. Released v2.5.0.
% 0.11/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n026.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Mon Apr 29 22:20:19 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  % Drodi V3.6.0
% 0.13/0.37  % Refutation found
% 0.13/0.37  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.37  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.37  % Elapsed time: 0.026285 seconds
% 0.13/0.37  % CPU time: 0.114682 seconds
% 0.13/0.37  % Total memory used: 4.968 MB
% 0.13/0.37  % Net memory used: 4.820 MB
%------------------------------------------------------------------------------