TSTP Solution File: SYN126-1 by Drodi---3.6.0

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%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SYN126-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n002.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 20:51:23 EDT 2024

% Result   : Unsatisfiable 0.13s 0.33s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   19 (   8 unt;   0 def)
%            Number of atoms       :   30 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   25 (  14   ~;  11   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :   23 (  23   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f32,axiom,
    k0(b),
    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(f315,axiom,
    ! [J,A,B] :
      ( l4(J)
      | ~ p3(A,B,J) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f369,negated_conjecture,
    ~ l4(b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

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

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(f836,plain,
    ! [J] :
      ( l4(J)
      | ! [A,B] : ~ p3(A,B,J) ),
    inference(miniscoping,[status(esa)],[f315]) ).

fof(f837,plain,
    ! [X0,X1,X2] :
      ( l4(X0)
      | ~ p3(X1,X2,X0) ),
    inference(cnf_transformation,[status(esa)],[f836]) ).

fof(f924,plain,
    ~ l4(b),
    inference(cnf_transformation,[status(esa)],[f369]) ).

fof(f2128,plain,
    p1(b,b,b),
    inference(resolution,[status(thm)],[f517,f401]) ).

fof(f2144,plain,
    ! [X0] :
      ( ~ n2(X0)
      | l4(X0) ),
    inference(resolution,[status(thm)],[f784,f837]) ).

fof(f2149,plain,
    ~ n2(b),
    inference(resolution,[status(thm)],[f2144,f924]) ).

fof(f2190,plain,
    n2(b),
    inference(resolution,[status(thm)],[f2128,f627]) ).

fof(f2191,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f2190,f2149]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : SYN126-1 : TPTP v8.1.2. Released v1.1.0.
% 0.00/0.10  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.08/0.30  % Computer : n002.cluster.edu
% 0.08/0.30  % Model    : x86_64 x86_64
% 0.08/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.30  % Memory   : 8042.1875MB
% 0.08/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.30  % CPULimit : 300
% 0.13/0.30  % WCLimit  : 300
% 0.13/0.30  % DateTime : Mon Apr 29 22:21:09 EDT 2024
% 0.13/0.30  % CPUTime  : 
% 0.13/0.32  % Drodi V3.6.0
% 0.13/0.33  % Refutation found
% 0.13/0.33  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.33  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.35  % Elapsed time: 0.032387 seconds
% 0.13/0.35  % CPU time: 0.073874 seconds
% 0.13/0.35  % Total memory used: 13.920 MB
% 0.13/0.35  % Net memory used: 13.830 MB
%------------------------------------------------------------------------------