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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : CSR030+4 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n014.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 70.26s 15.24s
% Output   : CNFRefutation 72.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            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   :   25 (  23   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f6493,axiom,
    ! [ARG1,ARG2] :
      ( tptptypes_7_389(ARG1,ARG2)
     => tptptypes_6_388(ARG2,ARG1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f10816,axiom,
    ( mtvisible(c_tptp_spindleheadmt)
   => tptptypes_7_389(c_pushingwithopenhand,c_tptpcol_16_4451) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f11372,axiom,
    ! [ARG1,ARG2] :
      ( tptptypes_6_388(ARG1,ARG2)
     => tptptypes_5_387(ARG1,ARG2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f14388,axiom,
    genlmt(c_tptp_member3393_mt,c_tptp_spindleheadmt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f44208,axiom,
    ! [SPECMT,GENLMT] :
      ( ( genlmt(SPECMT,GENLMT)
        & mtvisible(SPECMT) )
     => mtvisible(GENLMT) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f44217,conjecture,
    ? [ARG2] :
      ( mtvisible(c_tptp_member3393_mt)
     => tptptypes_5_387(ARG2,c_pushingwithopenhand) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f44218,negated_conjecture,
    ~ ? [ARG2] :
        ( mtvisible(c_tptp_member3393_mt)
       => tptptypes_5_387(ARG2,c_pushingwithopenhand) ),
    inference(negated_conjecture,[status(cth)],[f44217]) ).

fof(f52373,plain,
    ! [ARG1,ARG2] :
      ( tptptypes_6_388(ARG2,ARG1)
      | ~ tptptypes_7_389(ARG1,ARG2) ),
    inference(pre_NNF_transformation,[status(thm)],[f6493]) ).

fof(f52374,plain,
    ! [X0,X1] :
      ( tptptypes_6_388(X1,X0)
      | ~ tptptypes_7_389(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f52373]) ).

fof(f57791,plain,
    ( tptptypes_7_389(c_pushingwithopenhand,c_tptpcol_16_4451)
    | ~ mtvisible(c_tptp_spindleheadmt) ),
    inference(pre_NNF_transformation,[status(thm)],[f10816]) ).

fof(f57792,plain,
    ( tptptypes_7_389(c_pushingwithopenhand,c_tptpcol_16_4451)
    | ~ mtvisible(c_tptp_spindleheadmt) ),
    inference(cnf_transformation,[status(thm)],[f57791]) ).

fof(f58493,plain,
    ! [ARG1,ARG2] :
      ( tptptypes_5_387(ARG1,ARG2)
      | ~ tptptypes_6_388(ARG1,ARG2) ),
    inference(pre_NNF_transformation,[status(thm)],[f11372]) ).

fof(f58494,plain,
    ! [X0,X1] :
      ( tptptypes_5_387(X0,X1)
      | ~ tptptypes_6_388(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f58493]) ).

fof(f62279,plain,
    genlmt(c_tptp_member3393_mt,c_tptp_spindleheadmt),
    inference(cnf_transformation,[status(thm)],[f14388]) ).

fof(f110715,plain,
    ! [SPECMT,GENLMT] :
      ( mtvisible(GENLMT)
      | ~ genlmt(SPECMT,GENLMT)
      | ~ mtvisible(SPECMT) ),
    inference(pre_NNF_transformation,[status(thm)],[f44208]) ).

fof(f110716,plain,
    ! [GENLMT] :
      ( mtvisible(GENLMT)
      | ! [SPECMT] :
          ( ~ genlmt(SPECMT,GENLMT)
          | ~ mtvisible(SPECMT) ) ),
    inference(miniscoping,[status(thm)],[f110715]) ).

fof(f110717,plain,
    ! [X0,X1] :
      ( mtvisible(X1)
      | ~ genlmt(X0,X1)
      | ~ mtvisible(X0) ),
    inference(cnf_transformation,[status(thm)],[f110716]) ).

fof(f110738,plain,
    ! [ARG2] :
      ( ~ tptptypes_5_387(ARG2,c_pushingwithopenhand)
      & mtvisible(c_tptp_member3393_mt) ),
    inference(pre_NNF_transformation,[status(thm)],[f44218]) ).

fof(f110739,plain,
    ( ! [ARG2] : ~ tptptypes_5_387(ARG2,c_pushingwithopenhand)
    & mtvisible(c_tptp_member3393_mt) ),
    inference(miniscoping,[status(thm)],[f110738]) ).

fof(f110740,plain,
    mtvisible(c_tptp_member3393_mt),
    inference(cnf_transformation,[status(thm)],[f110739]) ).

fof(f110741,plain,
    ! [X0] : ~ tptptypes_5_387(X0,c_pushingwithopenhand),
    inference(cnf_transformation,[status(thm)],[f110739]) ).

fof(f110926,plain,
    ( mtvisible(c_tptp_spindleheadmt)
    | ~ mtvisible(c_tptp_member3393_mt) ),
    inference(resolution,[status(thm)],[f110717,f62279]) ).

fof(f110988,plain,
    mtvisible(c_tptp_spindleheadmt),
    inference(forward_subsumption_resolution,[status(thm)],[f110926,f110740]) ).

fof(f110991,plain,
    tptptypes_7_389(c_pushingwithopenhand,c_tptpcol_16_4451),
    inference(backward_subsumption_resolution,[status(thm)],[f57792,f110988]) ).

fof(f110995,plain,
    tptptypes_6_388(c_tptpcol_16_4451,c_pushingwithopenhand),
    inference(resolution,[status(thm)],[f110991,f52374]) ).

fof(f110996,plain,
    tptptypes_5_387(c_tptpcol_16_4451,c_pushingwithopenhand),
    inference(resolution,[status(thm)],[f110995,f58494]) ).

fof(f110997,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f110996,f110741]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : CSR030+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.07  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/5.46  % Computer : n014.cluster.edu
% 0.18/5.46  % Model    : x86_64 x86_64
% 0.18/5.46  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/5.46  % Memory   : 8046.5625MB
% 0.18/5.46  % OS       : Linux 6.8.0-71-generic
% 0.18/5.46  % CPULimit : 300
% 0.18/5.46  % WCLimit  : 300
% 0.18/5.46  % DateTime : Mon Sep 21 14:25:39 UTC 2026
% 0.18/5.46  % CPUTime  : 
% 1.04/6.32  % Drodi V4.1.1
% 70.26/15.24  % Refutation found
% 70.26/15.24  % SZS status Theorem for theBenchmark: Theorem is valid
% 70.26/15.24  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 9.91/15.89  % Elapsed time: 10.376340 seconds
% 9.91/15.89  % CPU time: 72.358624 seconds
% 9.91/15.89  % Total memory used: 2.005 GB
% 9.91/15.89  % Net memory used: 1.999 GB
%------------------------------------------------------------------------------