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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : CSR031+4 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n008.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 1.23s 2.04s
% Output   : CNFRefutation 1.23s
% 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(f4028,axiom,
    ! [OBJ] :
      ~ ( individual(OBJ)
        & collection(OBJ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f20191,axiom,
    individual(c_tptptptpcol_16_8398),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f41385,axiom,
    ! [INS,ARG2] :
      ( disjointwith(INS,ARG2)
     => collection(INS) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f44217,conjecture,
    ~ disjointwith(c_tptptptpcol_16_8398,c_tptpcol_16_18488),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f44218,negated_conjecture,
    ~ ~ disjointwith(c_tptptptpcol_16_8398,c_tptpcol_16_18488),
    inference(negated_conjecture,[status(cth)],[f44217]) ).

fof(f49265,plain,
    ! [OBJ] :
      ( ~ individual(OBJ)
      | ~ collection(OBJ) ),
    inference(pre_NNF_transformation,[status(thm)],[f4028]) ).

fof(f49266,plain,
    ! [X0] :
      ( ~ individual(X0)
      | ~ collection(X0) ),
    inference(cnf_transformation,[status(thm)],[f49265]) ).

fof(f69564,plain,
    individual(c_tptptptpcol_16_8398),
    inference(cnf_transformation,[status(thm)],[f20191]) ).

fof(f105176,plain,
    ! [INS,ARG2] :
      ( collection(INS)
      | ~ disjointwith(INS,ARG2) ),
    inference(pre_NNF_transformation,[status(thm)],[f41385]) ).

fof(f105177,plain,
    ! [INS] :
      ( collection(INS)
      | ! [ARG2] : ~ disjointwith(INS,ARG2) ),
    inference(miniscoping,[status(thm)],[f105176]) ).

fof(f105178,plain,
    ! [X0,X1] :
      ( collection(X0)
      | ~ disjointwith(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f105177]) ).

fof(f110738,plain,
    disjointwith(c_tptptptpcol_16_8398,c_tptpcol_16_18488),
    inference(cnf_transformation,[status(thm)],[f44218]) ).

fof(f110759,plain,
    ! [X0,X1] :
      ( ~ disjointwith(X0,X1)
      | ~ individual(X0) ),
    inference(resolution,[status(thm)],[f49266,f105178]) ).

fof(f110763,plain,
    ~ individual(c_tptptptpcol_16_8398),
    inference(resolution,[status(thm)],[f110759,f110738]) ).

fof(f110767,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f110763,f69564]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR031+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36  % Computer : n008.cluster.edu
% 0.10/0.36  % Model    : x86_64 x86_64
% 0.10/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36  % Memory   : 8046.5625MB
% 0.10/0.36  % OS       : Linux 6.8.0-71-generic
% 0.10/0.36  % CPULimit : 300
% 0.10/0.36  % WCLimit  : 300
% 0.10/0.36  % DateTime : Mon Sep 21 14:27:38 UTC 2026
% 0.10/0.36  % CPUTime  : 
% 1.07/1.34  % Drodi V4.1.1
% 1.23/2.04  % Refutation found
% 1.23/2.04  % SZS status Theorem for theBenchmark: Theorem is valid
% 1.23/2.04  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.53/2.36  % Elapsed time: 1.954860 seconds
% 1.53/2.36  % CPU time: 6.065685 seconds
% 1.53/2.36  % Total memory used: 1.870 GB
% 1.53/2.36  % Net memory used: 1.862 GB
%------------------------------------------------------------------------------