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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : CSR030+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n020.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 0.12s 0.42s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   27 (   6 unt;   0 def)
%            Number of atoms       :   54 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   51 (  24   ~;  18   |;   3   &)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 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   :   30 (  28   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f99,axiom,
    ! [ARG1,ARG2] :
      ( tptptypes_6_388(ARG1,ARG2)
     => tptptypes_5_387(ARG1,ARG2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f133,axiom,
    genlmt(c_tptp_member3393_mt,c_tptp_spindleheadmt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f302,axiom,
    ! [ARG1,ARG2] :
      ( tptptypes_7_389(ARG1,ARG2)
     => tptptypes_6_388(ARG2,ARG1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f451,axiom,
    ( mtvisible(c_tptp_spindleheadmt)
   => tptptypes_7_389(c_pushingwithopenhand,c_tptpcol_16_4451) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f1123,axiom,
    ! [SPECMT,GENLMT] :
      ( ( genlmt(SPECMT,GENLMT)
        & mtvisible(SPECMT) )
     => mtvisible(GENLMT) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f1132,conjecture,
    ? [ARG2] :
      ( mtvisible(c_tptp_member3393_mt)
     => tptptypes_5_387(ARG2,c_pushingwithopenhand) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f1133,negated_conjecture,
    ~ ? [ARG2] :
        ( mtvisible(c_tptp_member3393_mt)
       => tptptypes_5_387(ARG2,c_pushingwithopenhand) ),
    inference(negated_conjecture,[status(cth)],[f1132]) ).

fof(f1275,plain,
    ! [ARG1,ARG2] :
      ( tptptypes_5_387(ARG1,ARG2)
      | ~ tptptypes_6_388(ARG1,ARG2) ),
    inference(pre_NNF_transformation,[status(thm)],[f99]) ).

fof(f1276,plain,
    ! [X0,X1] :
      ( tptptypes_5_387(X0,X1)
      | ~ tptptypes_6_388(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f1275]) ).

fof(f1328,plain,
    genlmt(c_tptp_member3393_mt,c_tptp_spindleheadmt),
    inference(cnf_transformation,[status(thm)],[f133]) ).

fof(f1575,plain,
    ! [ARG1,ARG2] :
      ( tptptypes_6_388(ARG2,ARG1)
      | ~ tptptypes_7_389(ARG1,ARG2) ),
    inference(pre_NNF_transformation,[status(thm)],[f302]) ).

fof(f1576,plain,
    ! [X0,X1] :
      ( tptptypes_6_388(X1,X0)
      | ~ tptptypes_7_389(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f1575]) ).

fof(f1791,plain,
    ( tptptypes_7_389(c_pushingwithopenhand,c_tptpcol_16_4451)
    | ~ mtvisible(c_tptp_spindleheadmt) ),
    inference(pre_NNF_transformation,[status(thm)],[f451]) ).

fof(f1792,plain,
    ( tptptypes_7_389(c_pushingwithopenhand,c_tptpcol_16_4451)
    | ~ mtvisible(c_tptp_spindleheadmt) ),
    inference(cnf_transformation,[status(thm)],[f1791]) ).

fof(f3181,plain,
    ! [SPECMT,GENLMT] :
      ( mtvisible(GENLMT)
      | ~ genlmt(SPECMT,GENLMT)
      | ~ mtvisible(SPECMT) ),
    inference(pre_NNF_transformation,[status(thm)],[f1123]) ).

fof(f3182,plain,
    ! [GENLMT] :
      ( mtvisible(GENLMT)
      | ! [SPECMT] :
          ( ~ genlmt(SPECMT,GENLMT)
          | ~ mtvisible(SPECMT) ) ),
    inference(miniscoping,[status(thm)],[f3181]) ).

fof(f3183,plain,
    ! [X0,X1] :
      ( mtvisible(X1)
      | ~ genlmt(X0,X1)
      | ~ mtvisible(X0) ),
    inference(cnf_transformation,[status(thm)],[f3182]) ).

fof(f3204,plain,
    ! [ARG2] :
      ( ~ tptptypes_5_387(ARG2,c_pushingwithopenhand)
      & mtvisible(c_tptp_member3393_mt) ),
    inference(pre_NNF_transformation,[status(thm)],[f1133]) ).

fof(f3205,plain,
    ( ! [ARG2] : ~ tptptypes_5_387(ARG2,c_pushingwithopenhand)
    & mtvisible(c_tptp_member3393_mt) ),
    inference(miniscoping,[status(thm)],[f3204]) ).

fof(f3206,plain,
    mtvisible(c_tptp_member3393_mt),
    inference(cnf_transformation,[status(thm)],[f3205]) ).

fof(f3207,plain,
    ! [X0] : ~ tptptypes_5_387(X0,c_pushingwithopenhand),
    inference(cnf_transformation,[status(thm)],[f3205]) ).

fof(f3218,plain,
    ! [X0,X1] :
      ( tptptypes_5_387(X1,X0)
      | ~ tptptypes_7_389(X0,X1) ),
    inference(resolution,[status(thm)],[f1576,f1276]) ).

fof(f3238,plain,
    ! [X0] :
      ( ~ genlmt(X0,c_tptp_spindleheadmt)
      | ~ mtvisible(X0)
      | tptptypes_7_389(c_pushingwithopenhand,c_tptpcol_16_4451) ),
    inference(resolution,[status(thm)],[f1792,f3183]) ).

fof(f3239,plain,
    ! [X0] :
      ( tptptypes_5_387(c_tptpcol_16_4451,c_pushingwithopenhand)
      | ~ genlmt(X0,c_tptp_spindleheadmt)
      | ~ mtvisible(X0) ),
    inference(resolution,[status(thm)],[f3238,f3218]) ).

fof(f3240,plain,
    ! [X0] :
      ( ~ genlmt(X0,c_tptp_spindleheadmt)
      | ~ mtvisible(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f3239,f3207]) ).

fof(f3245,plain,
    ~ genlmt(c_tptp_member3393_mt,c_tptp_spindleheadmt),
    inference(resolution,[status(thm)],[f3240,f3206]) ).

fof(f3247,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f3245,f1328]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR030+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35  % Computer : n020.cluster.edu
% 0.08/0.35  % Model    : x86_64 x86_64
% 0.08/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35  % Memory   : 8046.5625MB
% 0.08/0.35  % OS       : Linux 6.8.0-71-generic
% 0.08/0.36  % CPULimit : 300
% 0.08/0.36  % WCLimit  : 300
% 0.08/0.36  % DateTime : Mon Sep 21 14:26:33 UTC 2026
% 0.08/0.36  % CPUTime  : 
% 0.12/0.39  % Drodi V4.1.1
% 0.12/0.42  % Refutation found
% 0.12/0.42  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.42  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.46  % Elapsed time: 0.091419 seconds
% 0.12/0.46  % CPU time: 0.251325 seconds
% 0.12/0.46  % Total memory used: 102.500 MB
% 0.12/0.46  % Net memory used: 102.410 MB
%------------------------------------------------------------------------------