TSTP Solution File: SYN268-1 by Drodi---3.6.0

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%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SYN268-1 : TPTP v8.1.2. Released v1.1.0.
% 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 20:51:44 EDT 2024

% Result   : Unsatisfiable 0.13s 0.37s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   20 (   9 unt;   0 def)
%            Number of atoms       :   31 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   24 (  13   ~;  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    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   27 (  27   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f37,axiom,
    n0(b,a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f104,axiom,
    ! [G,H] :
      ( p1(G,G,G)
      | ~ n0(H,G) ),
    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(f329,axiom,
    ! [I,J] :
      ( p4(I,I,I)
      | ~ p3(J,J,I) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f369,negated_conjecture,
    ! [X,Y] : ~ p4(a,X,Y),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f406,plain,
    n0(b,a),
    inference(cnf_transformation,[status(esa)],[f37]) ).

fof(f513,plain,
    ! [G] :
      ( p1(G,G,G)
      | ! [H] : ~ n0(H,G) ),
    inference(miniscoping,[status(esa)],[f104]) ).

fof(f514,plain,
    ! [X0,X1] :
      ( p1(X0,X0,X0)
      | ~ n0(X1,X0) ),
    inference(cnf_transformation,[status(esa)],[f513]) ).

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(f860,plain,
    ! [I] :
      ( p4(I,I,I)
      | ! [J] : ~ p3(J,J,I) ),
    inference(miniscoping,[status(esa)],[f329]) ).

fof(f861,plain,
    ! [X0,X1] :
      ( p4(X0,X0,X0)
      | ~ p3(X1,X1,X0) ),
    inference(cnf_transformation,[status(esa)],[f860]) ).

fof(f924,plain,
    ! [X0,X1] : ~ p4(a,X0,X1),
    inference(cnf_transformation,[status(esa)],[f369]) ).

fof(f2306,plain,
    p1(a,a,a),
    inference(resolution,[status(thm)],[f514,f406]) ).

fof(f2321,plain,
    n2(a),
    inference(resolution,[status(thm)],[f2306,f627]) ).

fof(f2323,plain,
    p3(a,a,a),
    inference(resolution,[status(thm)],[f2321,f784]) ).

fof(f2337,plain,
    p4(a,a,a),
    inference(resolution,[status(thm)],[f2323,f861]) ).

fof(f2338,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f2337,f924]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SYN268-1 : TPTP v8.1.2. Released v1.1.0.
% 0.11/0.12  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.33  % Computer : n026.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Mon Apr 29 22:15:49 EDT 2024
% 0.13/0.33  % 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: 0.034631 seconds
% 0.13/0.37  % CPU time: 0.092557 seconds
% 0.13/0.37  % Total memory used: 15.682 MB
% 0.13/0.37  % Net memory used: 15.604 MB
%------------------------------------------------------------------------------