↑ Up

Drodi---4.1.1.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : CSR031+3 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox/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 12:12:56 PM UTC 2026

% Result   : Theorem 0.62s 0.95s
% Output   : CNFRefutation 0.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   15 (   7 unt;   0 def)
%            Number of atoms       :   23 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   22 (  14   ~;   6   |;   1   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   13 (  13   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f781,axiom,
    individual(c_tptptptpcol_16_8398),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f3089,axiom,
    ! [OBJ] :
      ~ ( individual(OBJ)
        & collection(OBJ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f7583,axiom,
    ! [INS,ARG2] :
      ( disjointwith(INS,ARG2)
     => collection(INS) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f8006,conjecture,
    ~ disjointwith(c_tptptptpcol_16_8398,c_tptpcol_16_18488),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f8007,negated_conjecture,
    ~ ~ disjointwith(c_tptptptpcol_16_8398,c_tptpcol_16_18488),
    inference(negated_conjecture,[status(cth)],[f8006]) ).

fof(f9086,plain,
    individual(c_tptptptpcol_16_8398),
    inference(cnf_transformation,[status(thm)],[f781]) ).

fof(f12334,plain,
    ! [OBJ] :
      ( ~ individual(OBJ)
      | ~ collection(OBJ) ),
    inference(pre_NNF_transformation,[status(thm)],[f3089]) ).

fof(f12335,plain,
    ! [X0] :
      ( ~ individual(X0)
      | ~ collection(X0) ),
    inference(cnf_transformation,[status(thm)],[f12334]) ).

fof(f20543,plain,
    ! [INS,ARG2] :
      ( collection(INS)
      | ~ disjointwith(INS,ARG2) ),
    inference(pre_NNF_transformation,[status(thm)],[f7583]) ).

fof(f20544,plain,
    ! [INS] :
      ( collection(INS)
      | ! [ARG2] : ~ disjointwith(INS,ARG2) ),
    inference(miniscoping,[status(thm)],[f20543]) ).

fof(f20545,plain,
    ! [X0,X1] :
      ( collection(X0)
      | ~ disjointwith(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f20544]) ).

fof(f21391,plain,
    disjointwith(c_tptptptpcol_16_8398,c_tptpcol_16_18488),
    inference(cnf_transformation,[status(thm)],[f8007]) ).

fof(f21510,plain,
    ! [X0,X1] :
      ( ~ disjointwith(X0,X1)
      | ~ individual(X0) ),
    inference(resolution,[status(thm)],[f12335,f20545]) ).

fof(f21519,plain,
    ~ individual(c_tptptptpcol_16_8398),
    inference(resolution,[status(thm)],[f21510,f21391]) ).

fof(f21523,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f21519,f9086]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR031+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.37  % Computer : n017.cluster.edu
% 0.11/0.37  % Model    : x86_64 x86_64
% 0.11/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37  % Memory   : 8046.5625MB
% 0.11/0.37  % OS       : Linux 6.8.0-71-generic
% 0.11/0.37  % CPULimit : 300
% 0.11/0.37  % WCLimit  : 300
% 0.11/0.37  % DateTime : Mon Sep 21 14:22:28 UTC 2026
% 0.11/0.37  % CPUTime  : 
% 0.25/0.55  % Drodi V4.1.1
% 0.62/0.95  % Refutation found
% 0.62/0.95  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.62/0.95  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 3.46/2.10  % Elapsed time: 1.502014 seconds
% 3.46/2.10  % CPU time: 2.723538 seconds
% 3.46/2.10  % Total memory used: 402.548 MB
% 3.46/2.10  % Net memory used: 401.643 MB
%------------------------------------------------------------------------------