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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : CSR062+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 : n016.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 12:13:18 PM UTC 2026

% Result   : Theorem 0.09s 0.40s
% Output   : CNFRefutation 0.09s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   35 (  13 unt;   0 def)
%            Number of atoms       :   61 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   46 (  20   ~;  16   |;   3   &)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :   33 (  31   !;   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,
    ! [ARG1,ARG2] :
      ( tptptypes_8_390(ARG1,ARG2)
     => tptptypes_7_389(ARG1,ARG2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f12,axiom,
    genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f13,axiom,
    genlmt(c_tptp_member3205_mt,c_tptp_spindleheadmt),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f14,axiom,
    ( mtvisible(c_cyclistsmt)
   => tptptypes_8_390(c_pushingwithfingers,c_tptpcol_15_4027) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f53,axiom,
    ! [SPECMT,GENLMT] :
      ( ( genlmt(SPECMT,GENLMT)
        & mtvisible(SPECMT) )
     => mtvisible(GENLMT) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f62,conjecture,
    ? [ARG1] :
      ( mtvisible(c_tptp_member3205_mt)
     => tptptypes_5_387(ARG1,c_pushingwithfingers) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f63,negated_conjecture,
    ~ ? [ARG1] :
        ( mtvisible(c_tptp_member3205_mt)
       => tptptypes_5_387(ARG1,c_pushingwithfingers) ),
    inference(negated_conjecture,[status(cth)],[f62]) ).

fof(f70,plain,
    ! [ARG1,ARG2] :
      ( tptptypes_5_387(ARG1,ARG2)
      | ~ tptptypes_6_388(ARG1,ARG2) ),
    inference(pre_NNF_transformation,[status(thm)],[f7]) ).

fof(f71,plain,
    ! [X0,X1] :
      ( tptptypes_5_387(X0,X1)
      | ~ tptptypes_6_388(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f70]) ).

fof(f73,plain,
    ! [ARG1,ARG2] :
      ( tptptypes_6_388(ARG2,ARG1)
      | ~ tptptypes_7_389(ARG1,ARG2) ),
    inference(pre_NNF_transformation,[status(thm)],[f9]) ).

fof(f74,plain,
    ! [X0,X1] :
      ( tptptypes_6_388(X1,X0)
      | ~ tptptypes_7_389(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f73]) ).

fof(f76,plain,
    ! [ARG1,ARG2] :
      ( tptptypes_7_389(ARG1,ARG2)
      | ~ tptptypes_8_390(ARG1,ARG2) ),
    inference(pre_NNF_transformation,[status(thm)],[f11]) ).

fof(f77,plain,
    ! [X0,X1] :
      ( tptptypes_7_389(X0,X1)
      | ~ tptptypes_8_390(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f76]) ).

fof(f78,plain,
    genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
    inference(cnf_transformation,[status(thm)],[f12]) ).

fof(f79,plain,
    genlmt(c_tptp_member3205_mt,c_tptp_spindleheadmt),
    inference(cnf_transformation,[status(thm)],[f13]) ).

fof(f80,plain,
    ( tptptypes_8_390(c_pushingwithfingers,c_tptpcol_15_4027)
    | ~ mtvisible(c_cyclistsmt) ),
    inference(pre_NNF_transformation,[status(thm)],[f14]) ).

fof(f81,plain,
    ( tptptypes_8_390(c_pushingwithfingers,c_tptpcol_15_4027)
    | ~ mtvisible(c_cyclistsmt) ),
    inference(cnf_transformation,[status(thm)],[f80]) ).

fof(f185,plain,
    ! [SPECMT,GENLMT] :
      ( mtvisible(GENLMT)
      | ~ genlmt(SPECMT,GENLMT)
      | ~ mtvisible(SPECMT) ),
    inference(pre_NNF_transformation,[status(thm)],[f53]) ).

fof(f186,plain,
    ! [GENLMT] :
      ( mtvisible(GENLMT)
      | ! [SPECMT] :
          ( ~ genlmt(SPECMT,GENLMT)
          | ~ mtvisible(SPECMT) ) ),
    inference(miniscoping,[status(thm)],[f185]) ).

fof(f187,plain,
    ! [X0,X1] :
      ( mtvisible(X1)
      | ~ genlmt(X0,X1)
      | ~ mtvisible(X0) ),
    inference(cnf_transformation,[status(thm)],[f186]) ).

fof(f208,plain,
    ! [ARG1] :
      ( ~ tptptypes_5_387(ARG1,c_pushingwithfingers)
      & mtvisible(c_tptp_member3205_mt) ),
    inference(pre_NNF_transformation,[status(thm)],[f63]) ).

fof(f209,plain,
    ( ! [ARG1] : ~ tptptypes_5_387(ARG1,c_pushingwithfingers)
    & mtvisible(c_tptp_member3205_mt) ),
    inference(miniscoping,[status(thm)],[f208]) ).

fof(f210,plain,
    mtvisible(c_tptp_member3205_mt),
    inference(cnf_transformation,[status(thm)],[f209]) ).

fof(f211,plain,
    ! [X0] : ~ tptptypes_5_387(X0,c_pushingwithfingers),
    inference(cnf_transformation,[status(thm)],[f209]) ).

fof(f212,plain,
    ! [X0] :
      ( mtvisible(X0)
      | ~ genlmt(c_tptp_member3205_mt,X0) ),
    inference(resolution,[status(thm)],[f187,f210]) ).

fof(f213,plain,
    mtvisible(c_tptp_spindleheadmt),
    inference(resolution,[status(thm)],[f212,f79]) ).

fof(f214,plain,
    ! [X0] :
      ( mtvisible(X0)
      | ~ genlmt(c_tptp_spindleheadmt,X0) ),
    inference(resolution,[status(thm)],[f213,f187]) ).

fof(f218,plain,
    mtvisible(c_cyclistsmt),
    inference(resolution,[status(thm)],[f78,f214]) ).

fof(f220,plain,
    tptptypes_8_390(c_pushingwithfingers,c_tptpcol_15_4027),
    inference(forward_subsumption_resolution,[status(thm)],[f81,f218]) ).

fof(f221,plain,
    tptptypes_7_389(c_pushingwithfingers,c_tptpcol_15_4027),
    inference(resolution,[status(thm)],[f220,f77]) ).

fof(f224,plain,
    tptptypes_6_388(c_tptpcol_15_4027,c_pushingwithfingers),
    inference(resolution,[status(thm)],[f221,f74]) ).

fof(f227,plain,
    tptptypes_5_387(c_tptpcol_15_4027,c_pushingwithfingers),
    inference(resolution,[status(thm)],[f224,f71]) ).

fof(f228,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f227,f211]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR062+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.37  % Computer : n016.cluster.edu
% 0.09/0.37  % Model    : x86_64 x86_64
% 0.09/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37  % Memory   : 8046.5625MB
% 0.09/0.37  % OS       : Linux 6.8.0-71-generic
% 0.09/0.37  % CPULimit : 300
% 0.09/0.37  % WCLimit  : 300
% 0.09/0.37  % DateTime : Mon Sep 21 14:45:53 UTC 2026
% 0.09/0.37  % CPUTime  : 
% 0.09/0.38  % Drodi V4.1.1
% 0.09/0.40  % Refutation found
% 0.09/0.40  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.40  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.09/0.42  % Elapsed time: 0.043927 seconds
% 0.09/0.42  % CPU time: 0.127937 seconds
% 0.09/0.42  % Total memory used: 44.558 MB
% 0.09/0.42  % Net memory used: 44.421 MB
%------------------------------------------------------------------------------