↑ Up

Drodi---4.1.1.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : MGT094+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% 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 01:25:35 PM UTC 2026

% Result   : Theorem 0.14s 5.42s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   10 (   7 unt;   0 def)
%            Number of atoms       :   13 (   7 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    8 (   5   ~;   2   |;   0   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-4 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-6 aty)
%            Number of variables   :   12 (  12   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f36,axiom,
    ! [L1,H1,L2,H2] :
      ( ~ axis_subsumes(L1,H1,L2,H2)
     => subs_verdict(L1,H1,present,L2,H2,present) = conflict ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f79,axiom,
    ~ axis_subsumes(v0,v800,v0,v600),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f80,conjecture,
    subs_verdict(v0,v800,present,v0,v600,present) = conflict,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f81,negated_conjecture,
    subs_verdict(v0,v800,present,v0,v600,present) != conflict,
    inference(negated_conjecture,[status(cth)],[f80]) ).

fof(f173,plain,
    ! [L1,H1,L2,H2] :
      ( subs_verdict(L1,H1,present,L2,H2,present) = conflict
      | axis_subsumes(L1,H1,L2,H2) ),
    inference(pre_NNF_transformation,[status(thm)],[f36]) ).

fof(f174,plain,
    ! [X0,X1,X2,X3] :
      ( subs_verdict(X0,X1,present,X2,X3,present) = conflict
      | axis_subsumes(X0,X1,X2,X3) ),
    inference(cnf_transformation,[status(thm)],[f173]) ).

fof(f252,plain,
    ~ axis_subsumes(v0,v800,v0,v600),
    inference(cnf_transformation,[status(thm)],[f79]) ).

fof(f253,plain,
    subs_verdict(v0,v800,present,v0,v600,present) != conflict,
    inference(cnf_transformation,[status(thm)],[f81]) ).

fof(f514,plain,
    subs_verdict(v0,v800,present,v0,v600,present) = conflict,
    inference(resolution,[status(thm)],[f252,f174]) ).

fof(f516,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f514,f253]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : MGT094+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/5.37  % Computer : n017.cluster.edu
% 0.10/5.37  % Model    : x86_64 x86_64
% 0.10/5.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.37  % Memory   : 8046.5625MB
% 0.10/5.37  % OS       : Linux 6.8.0-71-generic
% 0.10/5.37  % CPULimit : 300
% 0.10/5.37  % WCLimit  : 300
% 0.10/5.37  % DateTime : Mon Sep 21 01:21:32 UTC 2026
% 0.10/5.37  % CPUTime  : 
% 0.10/5.39  % Drodi V4.1.1
% 0.14/5.42  % Refutation found
% 0.14/5.42  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/5.42  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/5.44  % Elapsed time: 0.062482 seconds
% 0.14/5.44  % CPU time: 0.229960 seconds
% 0.14/5.44  % Total memory used: 91.158 MB
% 0.14/5.44  % Net memory used: 90.827 MB
%------------------------------------------------------------------------------