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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : CSR030+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n012.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 12:12:55 PM UTC 2026

% Result   : Theorem 0.04s 12.23s
% Output   : CNFRefutation 0.04s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   27 (   9 unt;   0 def)
%            Number of atoms       :   49 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   39 (  17   ~;  13   |;   3   &)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   26 (  24   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f7,axiom,
    ! [ARG1,ARG2] :
      ( tptptypes_6_388(ARG1,ARG2)
     => tptptypes_5_387(ARG1,ARG2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f9,axiom,
    ! [ARG1,ARG2] :
      ( tptptypes_7_389(ARG1,ARG2)
     => tptptypes_6_388(ARG2,ARG1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f11,axiom,
    genlmt(c_tptp_member3393_mt,c_tptp_spindleheadmt),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f12,axiom,
    ( mtvisible(c_tptp_spindleheadmt)
   => tptptypes_7_389(c_pushingwithopenhand,c_tptpcol_16_4451) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f49,axiom,
    ! [SPECMT,GENLMT] :
      ( ( genlmt(SPECMT,GENLMT)
        & mtvisible(SPECMT) )
     => mtvisible(GENLMT) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f58,conjecture,
    ? [ARG2] :
      ( mtvisible(c_tptp_member3393_mt)
     => tptptypes_5_387(ARG2,c_pushingwithopenhand) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f59,negated_conjecture,
    ~ ? [ARG2] :
        ( mtvisible(c_tptp_member3393_mt)
       => tptptypes_5_387(ARG2,c_pushingwithopenhand) ),
    inference(negated_conjecture,[status(cth)],[f58]) ).

fof(f66,plain,
    ! [ARG1,ARG2] :
      ( tptptypes_5_387(ARG1,ARG2)
      | ~ tptptypes_6_388(ARG1,ARG2) ),
    inference(pre_NNF_transformation,[status(thm)],[f7]) ).

fof(f67,plain,
    ! [X0,X1] :
      ( tptptypes_5_387(X0,X1)
      | ~ tptptypes_6_388(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f66]) ).

fof(f69,plain,
    ! [ARG1,ARG2] :
      ( tptptypes_6_388(ARG2,ARG1)
      | ~ tptptypes_7_389(ARG1,ARG2) ),
    inference(pre_NNF_transformation,[status(thm)],[f9]) ).

fof(f70,plain,
    ! [X0,X1] :
      ( tptptypes_6_388(X1,X0)
      | ~ tptptypes_7_389(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f69]) ).

fof(f72,plain,
    genlmt(c_tptp_member3393_mt,c_tptp_spindleheadmt),
    inference(cnf_transformation,[status(thm)],[f11]) ).

fof(f73,plain,
    ( tptptypes_7_389(c_pushingwithopenhand,c_tptpcol_16_4451)
    | ~ mtvisible(c_tptp_spindleheadmt) ),
    inference(pre_NNF_transformation,[status(thm)],[f12]) ).

fof(f74,plain,
    ( tptptypes_7_389(c_pushingwithopenhand,c_tptpcol_16_4451)
    | ~ mtvisible(c_tptp_spindleheadmt) ),
    inference(cnf_transformation,[status(thm)],[f73]) ).

fof(f172,plain,
    ! [SPECMT,GENLMT] :
      ( mtvisible(GENLMT)
      | ~ genlmt(SPECMT,GENLMT)
      | ~ mtvisible(SPECMT) ),
    inference(pre_NNF_transformation,[status(thm)],[f49]) ).

fof(f173,plain,
    ! [GENLMT] :
      ( mtvisible(GENLMT)
      | ! [SPECMT] :
          ( ~ genlmt(SPECMT,GENLMT)
          | ~ mtvisible(SPECMT) ) ),
    inference(miniscoping,[status(thm)],[f172]) ).

fof(f174,plain,
    ! [X0,X1] :
      ( mtvisible(X1)
      | ~ genlmt(X0,X1)
      | ~ mtvisible(X0) ),
    inference(cnf_transformation,[status(thm)],[f173]) ).

fof(f195,plain,
    ! [ARG2] :
      ( ~ tptptypes_5_387(ARG2,c_pushingwithopenhand)
      & mtvisible(c_tptp_member3393_mt) ),
    inference(pre_NNF_transformation,[status(thm)],[f59]) ).

fof(f196,plain,
    ( ! [ARG2] : ~ tptptypes_5_387(ARG2,c_pushingwithopenhand)
    & mtvisible(c_tptp_member3393_mt) ),
    inference(miniscoping,[status(thm)],[f195]) ).

fof(f197,plain,
    mtvisible(c_tptp_member3393_mt),
    inference(cnf_transformation,[status(thm)],[f196]) ).

fof(f198,plain,
    ! [X0] : ~ tptptypes_5_387(X0,c_pushingwithopenhand),
    inference(cnf_transformation,[status(thm)],[f196]) ).

fof(f199,plain,
    ! [X0] :
      ( mtvisible(X0)
      | ~ genlmt(c_tptp_member3393_mt,X0) ),
    inference(resolution,[status(thm)],[f174,f197]) ).

fof(f200,plain,
    mtvisible(c_tptp_spindleheadmt),
    inference(resolution,[status(thm)],[f199,f72]) ).

fof(f207,plain,
    tptptypes_7_389(c_pushingwithopenhand,c_tptpcol_16_4451),
    inference(forward_subsumption_resolution,[status(thm)],[f74,f200]) ).

fof(f208,plain,
    tptptypes_6_388(c_tptpcol_16_4451,c_pushingwithopenhand),
    inference(resolution,[status(thm)],[f207,f70]) ).

fof(f213,plain,
    tptptypes_5_387(c_tptpcol_16_4451,c_pushingwithopenhand),
    inference(resolution,[status(thm)],[f208,f67]) ).

fof(f214,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f213,f198]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01  % Problem  : CSR030+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.02  % Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.04/12.20  % Computer : n012.cluster.edu
% 0.04/12.20  % Model    : x86_64 x86_64
% 0.04/12.20  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/12.20  % Memory   : 8046.5625MB
% 0.04/12.20  % OS       : Linux 6.8.0-71-generic
% 0.04/12.20  % CPULimit : 300
% 0.04/12.20  % WCLimit  : 300
% 0.04/12.20  % DateTime : Mon Sep 21 14:25:54 UTC 2026
% 0.04/12.21  % CPUTime  : 
% 0.04/12.21  % Drodi V4.1.1
% 0.04/12.23  % Refutation found
% 0.04/12.23  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.04/12.23  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.04/12.25  % Elapsed time: 0.043444 seconds
% 0.04/12.25  % CPU time: 0.095071 seconds
% 0.04/12.25  % Total memory used: 56.899 MB
% 0.04/12.25  % Net memory used: 56.696 MB
%------------------------------------------------------------------------------