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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : CSR034+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 : n018.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 12:12:58 PM UTC 2026

% Result   : Theorem 0.12s 0.38s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   34
% Syntax   : Number of formulae    :   97 (  33 unt;  16 def)
%            Number of atoms       :  165 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  116 (  48   ~;  44   |;   3   &)
%                                         (  16 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   21 (  20 usr;  17 prp; 0-2 aty)
%            Number of functors    :   18 (  18 usr;  17 con; 0-1 aty)
%            Number of variables   :   16 (  14   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    genlmt(c_worldgeographydualistmt,c_worldgeographymt),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2,axiom,
    genlmt(c_ethnicgroupsvocabularymt,c_worldcompletedualistgeographymt),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f4,axiom,
    genlmt(c_nooescapearchitecturemt,c_organizationdatamt),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f5,axiom,
    genlmt(c_testvocabularymt,c_nooescapearchitecturemt),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f8,axiom,
    genlmt(c_unitedstatesgeographydualistmt,c_worldgeographydualistmt),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f9,axiom,
    genlmt(c_cyclistsmt,c_keinteractionresourcetestmt),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f10,axiom,
    genlmt(c_keinteractionresourcetestmt,c_testvocabularymt),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

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

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

fof(f14,axiom,
    ( mtvisible(c_worldgeographymt)
   => state_geopolitical(c_wanica_districtsuriname) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f15,axiom,
    genlmt(c_ethnicgroupsmt,c_ethnicgroupsvocabularymt),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f16,axiom,
    genlmt(c_organizationdatamt,f_contextofpcwfn(c_ap_martha_stewart_omnimedia_names_chairman)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f17,axiom,
    genlmt(f_contextofpcwfn(c_ap_martha_stewart_omnimedia_names_chairman),c_massmediadatamt),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f18,axiom,
    genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f19,axiom,
    genlmt(c_tptp_member3515_mt,c_tptp_spindleheadmt),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f52,axiom,
    ! [X] :
      ( state_geopolitical(X)
     => isa(X,c_state_geopolitical) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f62,axiom,
    ! [SPECMT,GENLMT] :
      ( ( genlmt(SPECMT,GENLMT)
        & mtvisible(SPECMT) )
     => mtvisible(GENLMT) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f71,conjecture,
    ? [COL] :
      ( mtvisible(c_tptp_member3515_mt)
     => isa(c_wanica_districtsuriname,COL) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f72,negated_conjecture,
    ~ ? [COL] :
        ( mtvisible(c_tptp_member3515_mt)
       => isa(c_wanica_districtsuriname,COL) ),
    inference(negated_conjecture,[status(cth)],[f71]) ).

fof(f73,plain,
    genlmt(c_worldgeographydualistmt,c_worldgeographymt),
    inference(cnf_transformation,[status(thm)],[f1]) ).

fof(f74,plain,
    genlmt(c_ethnicgroupsvocabularymt,c_worldcompletedualistgeographymt),
    inference(cnf_transformation,[status(thm)],[f2]) ).

fof(f76,plain,
    genlmt(c_nooescapearchitecturemt,c_organizationdatamt),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f77,plain,
    genlmt(c_testvocabularymt,c_nooescapearchitecturemt),
    inference(cnf_transformation,[status(thm)],[f5]) ).

fof(f82,plain,
    genlmt(c_unitedstatesgeographydualistmt,c_worldgeographydualistmt),
    inference(cnf_transformation,[status(thm)],[f8]) ).

fof(f83,plain,
    genlmt(c_cyclistsmt,c_keinteractionresourcetestmt),
    inference(cnf_transformation,[status(thm)],[f9]) ).

fof(f84,plain,
    genlmt(c_keinteractionresourcetestmt,c_testvocabularymt),
    inference(cnf_transformation,[status(thm)],[f10]) ).

fof(f85,plain,
    genlmt(c_worldcompletedualistgeographymt,c_unitedstatesgeographydualistmt),
    inference(cnf_transformation,[status(thm)],[f11]) ).

fof(f86,plain,
    genlmt(c_massmediadatamt,c_ethnicgroupsmt),
    inference(cnf_transformation,[status(thm)],[f12]) ).

fof(f88,plain,
    ( state_geopolitical(c_wanica_districtsuriname)
    | ~ mtvisible(c_worldgeographymt) ),
    inference(pre_NNF_transformation,[status(thm)],[f14]) ).

fof(f89,plain,
    ( state_geopolitical(c_wanica_districtsuriname)
    | ~ mtvisible(c_worldgeographymt) ),
    inference(cnf_transformation,[status(thm)],[f88]) ).

fof(f90,plain,
    genlmt(c_ethnicgroupsmt,c_ethnicgroupsvocabularymt),
    inference(cnf_transformation,[status(thm)],[f15]) ).

fof(f91,plain,
    genlmt(c_organizationdatamt,f_contextofpcwfn(c_ap_martha_stewart_omnimedia_names_chairman)),
    inference(cnf_transformation,[status(thm)],[f16]) ).

fof(f92,plain,
    genlmt(f_contextofpcwfn(c_ap_martha_stewart_omnimedia_names_chairman),c_massmediadatamt),
    inference(cnf_transformation,[status(thm)],[f17]) ).

fof(f93,plain,
    genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
    inference(cnf_transformation,[status(thm)],[f18]) ).

fof(f94,plain,
    genlmt(c_tptp_member3515_mt,c_tptp_spindleheadmt),
    inference(cnf_transformation,[status(thm)],[f19]) ).

fof(f175,plain,
    ! [X] :
      ( isa(X,c_state_geopolitical)
      | ~ state_geopolitical(X) ),
    inference(pre_NNF_transformation,[status(thm)],[f52]) ).

fof(f176,plain,
    ! [X0] :
      ( isa(X0,c_state_geopolitical)
      | ~ state_geopolitical(X0) ),
    inference(cnf_transformation,[status(thm)],[f175]) ).

fof(f202,plain,
    ! [SPECMT,GENLMT] :
      ( mtvisible(GENLMT)
      | ~ genlmt(SPECMT,GENLMT)
      | ~ mtvisible(SPECMT) ),
    inference(pre_NNF_transformation,[status(thm)],[f62]) ).

fof(f203,plain,
    ! [GENLMT] :
      ( mtvisible(GENLMT)
      | ! [SPECMT] :
          ( ~ genlmt(SPECMT,GENLMT)
          | ~ mtvisible(SPECMT) ) ),
    inference(miniscoping,[status(thm)],[f202]) ).

fof(f204,plain,
    ! [X0,X1] :
      ( mtvisible(X1)
      | ~ genlmt(X0,X1)
      | ~ mtvisible(X0) ),
    inference(cnf_transformation,[status(thm)],[f203]) ).

fof(f225,plain,
    ! [COL] :
      ( ~ isa(c_wanica_districtsuriname,COL)
      & mtvisible(c_tptp_member3515_mt) ),
    inference(pre_NNF_transformation,[status(thm)],[f72]) ).

fof(f226,plain,
    ( ! [COL] : ~ isa(c_wanica_districtsuriname,COL)
    & mtvisible(c_tptp_member3515_mt) ),
    inference(miniscoping,[status(thm)],[f225]) ).

fof(f227,plain,
    mtvisible(c_tptp_member3515_mt),
    inference(cnf_transformation,[status(thm)],[f226]) ).

fof(f228,plain,
    ! [X0] : ~ isa(c_wanica_districtsuriname,X0),
    inference(cnf_transformation,[status(thm)],[f226]) ).

fof(f240,definition,
    ( sQ3_spl
  <=> mtvisible(c_worldgeographymt) ),
    introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).

fof(f243,definition,
    ( sQ4_spl
  <=> state_geopolitical(c_wanica_districtsuriname) ),
    introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).

fof(f244,plain,
    ( ~ sQ4_spl
    | state_geopolitical(c_wanica_districtsuriname) ),
    inference(component_clause,[status(thm)],[f243]) ).

fof(f246,plain,
    ( sQ4_spl
    | ~ sQ3_spl ),
    inference(split_clause,[status(thm)],[f89,f240,f243]) ).

fof(f329,plain,
    ( mtvisible(c_massmediadatamt)
    | ~ mtvisible(f_contextofpcwfn(c_ap_martha_stewart_omnimedia_names_chairman)) ),
    inference(resolution,[status(thm)],[f204,f92]) ).

fof(f331,plain,
    ( mtvisible(c_tptp_spindleheadmt)
    | ~ mtvisible(c_tptp_member3515_mt) ),
    inference(resolution,[status(thm)],[f204,f94]) ).

fof(f332,plain,
    ( mtvisible(c_cyclistsmt)
    | ~ mtvisible(c_tptp_spindleheadmt) ),
    inference(resolution,[status(thm)],[f204,f93]) ).

fof(f334,plain,
    ( mtvisible(f_contextofpcwfn(c_ap_martha_stewart_omnimedia_names_chairman))
    | ~ mtvisible(c_organizationdatamt) ),
    inference(resolution,[status(thm)],[f204,f91]) ).

fof(f336,plain,
    ( mtvisible(c_ethnicgroupsvocabularymt)
    | ~ mtvisible(c_ethnicgroupsmt) ),
    inference(resolution,[status(thm)],[f204,f90]) ).

fof(f337,plain,
    ( mtvisible(c_ethnicgroupsmt)
    | ~ mtvisible(c_massmediadatamt) ),
    inference(resolution,[status(thm)],[f204,f86]) ).

fof(f339,plain,
    ( mtvisible(c_unitedstatesgeographydualistmt)
    | ~ mtvisible(c_worldcompletedualistgeographymt) ),
    inference(resolution,[status(thm)],[f204,f85]) ).

fof(f341,plain,
    ( mtvisible(c_testvocabularymt)
    | ~ mtvisible(c_keinteractionresourcetestmt) ),
    inference(resolution,[status(thm)],[f204,f84]) ).

fof(f343,plain,
    ( mtvisible(c_worldgeographydualistmt)
    | ~ mtvisible(c_unitedstatesgeographydualistmt) ),
    inference(resolution,[status(thm)],[f204,f82]) ).

fof(f345,plain,
    ( mtvisible(c_nooescapearchitecturemt)
    | ~ mtvisible(c_testvocabularymt) ),
    inference(resolution,[status(thm)],[f204,f77]) ).

fof(f347,plain,
    ( mtvisible(c_organizationdatamt)
    | ~ mtvisible(c_nooescapearchitecturemt) ),
    inference(resolution,[status(thm)],[f204,f76]) ).

fof(f348,plain,
    ( mtvisible(c_keinteractionresourcetestmt)
    | ~ mtvisible(c_cyclistsmt) ),
    inference(resolution,[status(thm)],[f204,f83]) ).

fof(f351,plain,
    ( mtvisible(c_worldcompletedualistgeographymt)
    | ~ mtvisible(c_ethnicgroupsvocabularymt) ),
    inference(resolution,[status(thm)],[f204,f74]) ).

fof(f353,plain,
    ( mtvisible(c_worldgeographymt)
    | ~ mtvisible(c_worldgeographydualistmt) ),
    inference(resolution,[status(thm)],[f204,f73]) ).

fof(f356,definition,
    ( sQ5_spl
  <=> mtvisible(f_contextofpcwfn(c_ap_martha_stewart_omnimedia_names_chairman)) ),
    introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).

fof(f359,definition,
    ( sQ6_spl
  <=> mtvisible(c_massmediadatamt) ),
    introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).

fof(f362,plain,
    ( sQ6_spl
    | ~ sQ5_spl ),
    inference(split_clause,[status(thm)],[f329,f356,f359]) ).

fof(f363,definition,
    ( sQ7_spl
  <=> mtvisible(c_tptp_member3515_mt) ),
    introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).

fof(f365,plain,
    ( sQ7_spl
    | ~ mtvisible(c_tptp_member3515_mt) ),
    inference(component_clause,[status(thm)],[f363]) ).

fof(f367,definition,
    ( sQ8_spl
  <=> mtvisible(c_tptp_spindleheadmt) ),
    introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).

fof(f370,plain,
    ( sQ8_spl
    | ~ sQ7_spl ),
    inference(split_clause,[status(thm)],[f331,f363,f367]) ).

fof(f371,definition,
    ( sQ9_spl
  <=> mtvisible(c_cyclistsmt) ),
    introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).

fof(f374,plain,
    ( sQ9_spl
    | ~ sQ8_spl ),
    inference(split_clause,[status(thm)],[f332,f367,f371]) ).

fof(f375,definition,
    ( sQ10_spl
  <=> mtvisible(c_organizationdatamt) ),
    introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).

fof(f379,plain,
    ( sQ5_spl
    | ~ sQ10_spl ),
    inference(split_clause,[status(thm)],[f334,f375,f356]) ).

fof(f380,definition,
    ( sQ11_spl
  <=> mtvisible(c_ethnicgroupsmt) ),
    introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).

fof(f384,definition,
    ( sQ12_spl
  <=> mtvisible(c_ethnicgroupsvocabularymt) ),
    introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).

fof(f387,plain,
    ( sQ12_spl
    | ~ sQ11_spl ),
    inference(split_clause,[status(thm)],[f336,f380,f384]) ).

fof(f388,plain,
    ( sQ11_spl
    | ~ sQ6_spl ),
    inference(split_clause,[status(thm)],[f337,f359,f380]) ).

fof(f389,definition,
    ( sQ13_spl
  <=> mtvisible(c_worldcompletedualistgeographymt) ),
    introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).

fof(f393,definition,
    ( sQ14_spl
  <=> mtvisible(c_unitedstatesgeographydualistmt) ),
    introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).

fof(f396,plain,
    ( sQ14_spl
    | ~ sQ13_spl ),
    inference(split_clause,[status(thm)],[f339,f389,f393]) ).

fof(f397,definition,
    ( sQ15_spl
  <=> mtvisible(c_keinteractionresourcetestmt) ),
    introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).

fof(f401,definition,
    ( sQ16_spl
  <=> mtvisible(c_testvocabularymt) ),
    introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).

fof(f404,plain,
    ( sQ16_spl
    | ~ sQ15_spl ),
    inference(split_clause,[status(thm)],[f341,f397,f401]) ).

fof(f406,definition,
    ( sQ17_spl
  <=> mtvisible(c_worldgeographydualistmt) ),
    introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).

fof(f409,plain,
    ( sQ17_spl
    | ~ sQ14_spl ),
    inference(split_clause,[status(thm)],[f343,f393,f406]) ).

fof(f411,definition,
    ( sQ18_spl
  <=> mtvisible(c_nooescapearchitecturemt) ),
    introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).

fof(f414,plain,
    ( sQ18_spl
    | ~ sQ16_spl ),
    inference(split_clause,[status(thm)],[f345,f401,f411]) ).

fof(f416,plain,
    ( sQ10_spl
    | ~ sQ18_spl ),
    inference(split_clause,[status(thm)],[f347,f411,f375]) ).

fof(f417,plain,
    ( sQ15_spl
    | ~ sQ9_spl ),
    inference(split_clause,[status(thm)],[f348,f371,f397]) ).

fof(f420,plain,
    ( sQ13_spl
    | ~ sQ12_spl ),
    inference(split_clause,[status(thm)],[f351,f384,f389]) ).

fof(f422,plain,
    ( sQ3_spl
    | ~ sQ17_spl ),
    inference(split_clause,[status(thm)],[f353,f406,f240]) ).

fof(f423,plain,
    ( sQ7_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f365,f227]) ).

fof(f424,plain,
    sQ7_spl,
    inference(contradiction_clause,[status(thm)],[f423]) ).

fof(f425,plain,
    ( ~ sQ4_spl
    | isa(c_wanica_districtsuriname,c_state_geopolitical) ),
    inference(resolution,[status(thm)],[f244,f176]) ).

fof(f426,plain,
    ( ~ sQ4_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f425,f228]) ).

fof(f427,plain,
    ~ sQ4_spl,
    inference(contradiction_clause,[status(thm)],[f426]) ).

fof(f428,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f246,f362,f370,f374,f379,f387,f388,f396,f404,f409,f414,f416,f417,f420,f422,f424,f427]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : CSR034+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35  % Computer : n018.cluster.edu
% 0.09/0.35  % Model    : x86_64 x86_64
% 0.09/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35  % Memory   : 8046.5625MB
% 0.09/0.35  % OS       : Linux 6.8.0-71-generic
% 0.09/0.35  % CPULimit : 300
% 0.09/0.35  % WCLimit  : 300
% 0.09/0.35  % DateTime : Mon Sep 21 14:29:29 UTC 2026
% 0.09/0.36  % CPUTime  : 
% 0.09/0.37  % Drodi V4.1.1
% 0.12/0.38  % Refutation found
% 0.12/0.38  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.38  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.40  % Elapsed time: 0.035939 seconds
% 0.12/0.40  % CPU time: 0.101996 seconds
% 0.12/0.40  % Total memory used: 28.980 MB
% 0.12/0.40  % Net memory used: 28.943 MB
%------------------------------------------------------------------------------