↑ Up

Drodi---4.1.1.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : MGT093+1 : TPTP v9.3.1. Released v9.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n009.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 0.57s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   14 (   9 unt;   0 def)
%            Number of atoms       :   29 (  15 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   28 (  13   ~;  11   |;   3   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :    6 (   6   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f14,axiom,
    ! [Vm,Vr] :
      ( ( Vr = conflict
        & Vm = compatible
        & is_verdict(Vr)
        & is_verdict(Vm) )
     => xone_verdict(Vm,Vr) = compatible ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f26,axiom,
    is_verdict(conflict),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f27,axiom,
    is_verdict(compatible),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f37,conjecture,
    xone_verdict(compatible,conflict) = compatible,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f38,negated_conjecture,
    xone_verdict(compatible,conflict) != compatible,
    inference(negated_conjecture,[status(cth)],[f37]) ).

fof(f72,plain,
    ! [Vm,Vr] :
      ( xone_verdict(Vm,Vr) = compatible
      | Vr != conflict
      | Vm != compatible
      | ~ is_verdict(Vr)
      | ~ is_verdict(Vm) ),
    inference(pre_NNF_transformation,[status(thm)],[f14]) ).

fof(f73,plain,
    ! [X0,X1] :
      ( xone_verdict(X0,X1) = compatible
      | X1 != conflict
      | X0 != compatible
      | ~ is_verdict(X1)
      | ~ is_verdict(X0) ),
    inference(cnf_transformation,[status(thm)],[f72]) ).

fof(f128,plain,
    is_verdict(conflict),
    inference(cnf_transformation,[status(thm)],[f26]) ).

fof(f129,plain,
    is_verdict(compatible),
    inference(cnf_transformation,[status(thm)],[f27]) ).

fof(f146,plain,
    xone_verdict(compatible,conflict) != compatible,
    inference(cnf_transformation,[status(thm)],[f38]) ).

fof(f162,plain,
    ( xone_verdict(compatible,conflict) = compatible
    | ~ is_verdict(conflict)
    | ~ is_verdict(compatible) ),
    inference(destructive_equality_resolution,[status(thm)],[f73]) ).

fof(f172,plain,
    ( xone_verdict(compatible,conflict) = compatible
    | ~ is_verdict(conflict) ),
    inference(forward_subsumption_resolution,[status(thm)],[f162,f129]) ).

fof(f173,plain,
    xone_verdict(compatible,conflict) = compatible,
    inference(resolution,[status(thm)],[f172,f128]) ).

fof(f174,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f173,f146]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : MGT093+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.53  % Computer : n009.cluster.edu
% 0.10/0.53  % Model    : x86_64 x86_64
% 0.10/0.53  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.53  % Memory   : 8046.5625MB
% 0.10/0.53  % OS       : Linux 6.8.0-71-generic
% 0.10/0.53  % CPULimit : 300
% 0.10/0.53  % WCLimit  : 300
% 0.10/0.53  % DateTime : Mon Sep 21 01:26:27 UTC 2026
% 0.10/0.53  % CPUTime  : 
% 0.10/0.54  % Drodi V4.1.1
% 0.14/0.57  % Refutation found
% 0.14/0.57  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.57  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.61  % Elapsed time: 0.061246 seconds
% 0.14/0.61  % CPU time: 0.149084 seconds
% 0.14/0.61  % Total memory used: 81.971 MB
% 0.14/0.61  % Net memory used: 81.870 MB
%------------------------------------------------------------------------------