TSTP Solution File: SYN209-1 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SYN209-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n017.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 12:46:15 EDT 2023

% Result   : Unsatisfiable 0.14s 0.35s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   26 (  12 unt;   0 def)
%            Number of atoms       :   43 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   36 (  19   ~;  17   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   1 prp; 0-3 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   32 (;  32   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f15,axiom,
    n0(a,b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f32,axiom,
    k0(b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f40,axiom,
    ! [G,H] :
      ( l1(G,G)
      | ~ n0(H,G) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f106,axiom,
    ! [D] :
      ( p1(D,D,D)
      | ~ k0(D) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f175,axiom,
    ! [A,B,C] :
      ( n2(A)
      | ~ p1(B,C,A) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f282,axiom,
    ! [H] :
      ( p3(H,H,H)
      | ~ n2(H) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f337,axiom,
    ! [A,B,C,D] :
      ( s4(A)
      | ~ p3(B,C,D)
      | ~ l1(A,C) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f369,negated_conjecture,
    ~ s4(b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f384,plain,
    n0(a,b),
    inference(cnf_transformation,[status(esa)],[f15]) ).

fof(f401,plain,
    k0(b),
    inference(cnf_transformation,[status(esa)],[f32]) ).

fof(f410,plain,
    ! [G] :
      ( l1(G,G)
      | ! [H] : ~ n0(H,G) ),
    inference(miniscoping,[status(esa)],[f40]) ).

fof(f411,plain,
    ! [X0,X1] :
      ( l1(X0,X0)
      | ~ n0(X1,X0) ),
    inference(cnf_transformation,[status(esa)],[f410]) ).

fof(f517,plain,
    ! [X0] :
      ( p1(X0,X0,X0)
      | ~ k0(X0) ),
    inference(cnf_transformation,[status(esa)],[f106]) ).

fof(f626,plain,
    ! [A] :
      ( n2(A)
      | ! [B,C] : ~ p1(B,C,A) ),
    inference(miniscoping,[status(esa)],[f175]) ).

fof(f627,plain,
    ! [X0,X1,X2] :
      ( n2(X0)
      | ~ p1(X1,X2,X0) ),
    inference(cnf_transformation,[status(esa)],[f626]) ).

fof(f784,plain,
    ! [X0] :
      ( p3(X0,X0,X0)
      | ~ n2(X0) ),
    inference(cnf_transformation,[status(esa)],[f282]) ).

fof(f873,plain,
    ! [A,C] :
      ( s4(A)
      | ! [B,D] : ~ p3(B,C,D)
      | ~ l1(A,C) ),
    inference(miniscoping,[status(esa)],[f337]) ).

fof(f874,plain,
    ! [X0,X1,X2,X3] :
      ( s4(X0)
      | ~ p3(X1,X2,X3)
      | ~ l1(X0,X2) ),
    inference(cnf_transformation,[status(esa)],[f873]) ).

fof(f924,plain,
    ~ s4(b),
    inference(cnf_transformation,[status(esa)],[f369]) ).

fof(f2071,plain,
    p1(b,b,b),
    inference(resolution,[status(thm)],[f517,f401]) ).

fof(f2111,plain,
    n2(b),
    inference(resolution,[status(thm)],[f2071,f627]) ).

fof(f2112,plain,
    p3(b,b,b),
    inference(resolution,[status(thm)],[f2111,f784]) ).

fof(f2235,plain,
    l1(b,b),
    inference(resolution,[status(thm)],[f411,f384]) ).

fof(f2253,plain,
    ! [X0] :
      ( s4(X0)
      | ~ l1(X0,b) ),
    inference(resolution,[status(thm)],[f874,f2112]) ).

fof(f2263,plain,
    s4(b),
    inference(resolution,[status(thm)],[f2235,f2253]) ).

fof(f2264,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f2263,f924]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.10  % Problem  : SYN209-1 : TPTP v8.1.2. Released v1.1.0.
% 0.08/0.11  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.31  % Computer : n017.cluster.edu
% 0.09/0.31  % Model    : x86_64 x86_64
% 0.09/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31  % Memory   : 8042.1875MB
% 0.09/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31  % CPULimit : 300
% 0.09/0.31  % WCLimit  : 300
% 0.09/0.31  % DateTime : Tue May 30 09:53:55 EDT 2023
% 0.09/0.31  % CPUTime  : 
% 0.14/0.32  % Drodi V3.5.1
% 0.14/0.35  % Refutation found
% 0.14/0.35  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.35  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.58  % Elapsed time: 0.054124 seconds
% 0.14/0.58  % CPU time: 0.065318 seconds
% 0.14/0.58  % Memory used: 5.920 MB
%------------------------------------------------------------------------------