↑ Up

Drodi---4.1.1.UNS-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : SYN263-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n017.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 03:15:36 PM UTC 2026

% Result   : Unsatisfiable 0.12s 0.38s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   18 (   9 unt;   0 def)
%            Number of atoms       :   31 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   28 (  15   ~;  13   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   30 (  30   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f12,axiom,
    ! [X] : m0(a,X,a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f37,axiom,
    n0(b,a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f104,axiom,
    ! [G,H] :
      ( ~ n0(H,G)
      | p1(G,G,G) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f120,axiom,
    ! [H,I,J,A] :
      ( ~ p1(J,H,A)
      | ~ m0(J,H,A)
      | p1(H,I,J) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f369,negated_conjecture,
    ~ p1(d,d,a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f381,plain,
    ! [X0] : m0(a,X0,a),
    inference(cnf_transformation,[status(thm)],[f12]) ).

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

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

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

fof(f538,plain,
    ! [H,J,A] :
      ( ~ p1(J,H,A)
      | ~ m0(J,H,A)
      | ! [I] : p1(H,I,J) ),
    inference(miniscoping,[status(thm)],[f120]) ).

fof(f539,plain,
    ! [X0,X1,X2,X3] :
      ( ~ p1(X2,X0,X3)
      | ~ m0(X2,X0,X3)
      | p1(X0,X1,X2) ),
    inference(cnf_transformation,[status(thm)],[f538]) ).

fof(f924,plain,
    ~ p1(d,d,a),
    inference(cnf_transformation,[status(thm)],[f369]) ).

fof(f951,plain,
    ! [X0,X1,X2] :
      ( ~ m0(X1,X1,X1)
      | p1(X1,X2,X1)
      | ~ n0(X0,X1) ),
    inference(resolution,[status(thm)],[f514,f539]) ).

fof(f952,plain,
    ! [X0,X1] :
      ( p1(a,X1,a)
      | ~ n0(X0,a) ),
    inference(resolution,[status(thm)],[f951,f381]) ).

fof(f954,plain,
    ! [X0] : p1(a,X0,a),
    inference(resolution,[status(thm)],[f952,f406]) ).

fof(f956,plain,
    ! [X0,X1] :
      ( ~ m0(a,X0,a)
      | p1(X0,X1,a) ),
    inference(resolution,[status(thm)],[f954,f539]) ).

fof(f957,plain,
    ! [X0,X1] : p1(X0,X1,a),
    inference(forward_subsumption_resolution,[status(thm)],[f956,f381]) ).

fof(f964,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[f924,f957]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN263-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35  % Computer : n017.cluster.edu
% 0.08/0.35  % Model    : x86_64 x86_64
% 0.08/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35  % Memory   : 8046.5625MB
% 0.08/0.35  % OS       : Linux 6.8.0-71-generic
% 0.08/0.35  % CPULimit : 300
% 0.08/0.35  % WCLimit  : 300
% 0.08/0.35  % DateTime : Mon Sep 21 10:42:27 UTC 2026
% 0.08/0.35  % CPUTime  : 
% 0.08/0.37  % Drodi V4.1.1
% 0.12/0.38  % Refutation found
% 0.12/0.38  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.38  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.41  % Elapsed time: 0.053240 seconds
% 0.12/0.41  % CPU time: 0.099360 seconds
% 0.12/0.41  % Total memory used: 13.289 MB
% 0.12/0.41  % Net memory used: 13.266 MB
%------------------------------------------------------------------------------