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Drodi---4.1.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : NLP143-1 : TPTP v9.3.1. Released v2.4.0.
% 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 01:31:22 PM UTC 2026

% Result   : Unsatisfiable 0.04s 0.32s
% Output   : CNFRefutation 0.04s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   20
% Syntax   : Number of formulae    :   66 (   5 unt;   5 def)
%            Number of atoms       :  131 (   7 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  131 (  66   ~;  60   |;   0   &)
%                                         (   5 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   20 (  18 usr;   6 prp; 0-4 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   73 (  73   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2,axiom,
    ! [U,V] :
      ( man(U,V)
      | ~ fellow(U,V) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f14,axiom,
    ! [U,V] :
      ( male(U,V)
      | ~ man(U,V) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f30,axiom,
    ! [U,V] :
      ( artifact(U,V)
      | ~ instrumentality(U,V) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f31,axiom,
    ! [U,V] :
      ( object(U,V)
      | ~ artifact(U,V) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f35,axiom,
    ! [U,V] :
      ( unisex(U,V)
      | ~ object(U,V) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f48,axiom,
    ! [U,V] :
      ( seat(U,V)
      | ~ frontseat(U,V) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f49,axiom,
    ! [U,V] :
      ( furniture(U,V)
      | ~ seat(U,V) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f50,axiom,
    ! [U,V] :
      ( instrumentality(U,V)
      | ~ furniture(U,V) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f52,axiom,
    ! [U,V] :
      ( ~ unisex(U,V)
      | ~ male(U,V) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f59,axiom,
    ! [U,V,W,X] :
      ( W = X
      | ~ be(U,V,W,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f60,axiom,
    ! [U,V] :
      ( member(U,skf10(V,U),V)
      | ~ two(U,V) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f73,negated_conjecture,
    two(skc6,skc7),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f88,negated_conjecture,
    ! [U] :
      ( fellow(skc6,U)
      | ~ member(skc6,U,skc7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f89,negated_conjecture,
    ! [U,V] :
      ( frontseat(skc6,skf5(V))
      | ~ member(skc6,U,skc7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f92,negated_conjecture,
    ! [U] :
      ( be(skc6,skf6(U),U,skf5(U))
      | ~ member(skc6,U,skc7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f94,plain,
    ! [X0,X1] :
      ( man(X0,X1)
      | ~ fellow(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f2]) ).

fof(f106,plain,
    ! [X0,X1] :
      ( male(X0,X1)
      | ~ man(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f14]) ).

fof(f122,plain,
    ! [X0,X1] :
      ( artifact(X0,X1)
      | ~ instrumentality(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f30]) ).

fof(f123,plain,
    ! [X0,X1] :
      ( object(X0,X1)
      | ~ artifact(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f31]) ).

fof(f127,plain,
    ! [X0,X1] :
      ( unisex(X0,X1)
      | ~ object(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f35]) ).

fof(f140,plain,
    ! [X0,X1] :
      ( seat(X0,X1)
      | ~ frontseat(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f48]) ).

fof(f141,plain,
    ! [X0,X1] :
      ( furniture(X0,X1)
      | ~ seat(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f49]) ).

fof(f142,plain,
    ! [X0,X1] :
      ( instrumentality(X0,X1)
      | ~ furniture(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f50]) ).

fof(f144,plain,
    ! [X0,X1] :
      ( ~ unisex(X0,X1)
      | ~ male(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f52]) ).

fof(f151,plain,
    ! [W,X] :
      ( W = X
      | ! [U,V] : ~ be(U,V,W,X) ),
    inference(miniscoping,[status(thm)],[f59]) ).

fof(f152,plain,
    ! [X0,X1,X2,X3] :
      ( X2 = X3
      | ~ be(X0,X1,X2,X3) ),
    inference(cnf_transformation,[status(thm)],[f151]) ).

fof(f153,plain,
    ! [X0,X1] :
      ( member(X0,skf10(X1,X0),X1)
      | ~ two(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f60]) ).

fof(f170,plain,
    two(skc6,skc7),
    inference(cnf_transformation,[status(thm)],[f73]) ).

fof(f185,plain,
    ! [X0] :
      ( fellow(skc6,X0)
      | ~ member(skc6,X0,skc7) ),
    inference(cnf_transformation,[status(thm)],[f88]) ).

fof(f186,plain,
    ( ! [V] : frontseat(skc6,skf5(V))
    | ! [U] : ~ member(skc6,U,skc7) ),
    inference(miniscoping,[status(thm)],[f89]) ).

fof(f187,plain,
    ! [X0,X1] :
      ( frontseat(skc6,skf5(X1))
      | ~ member(skc6,X0,skc7) ),
    inference(cnf_transformation,[status(thm)],[f186]) ).

fof(f192,plain,
    ! [X0] :
      ( be(skc6,skf6(X0),X0,skf5(X0))
      | ~ member(skc6,X0,skc7) ),
    inference(cnf_transformation,[status(thm)],[f92]) ).

fof(f193,definition,
    ! [X0] :
      ( sQ0_spl
    <=> ~ member(skc6,X0,skc7) ),
    introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).

fof(f194,plain,
    ! [X0] :
      ( ~ sQ0_spl
      | ~ member(skc6,X0,skc7) ),
    inference(component_clause,[status(thm)],[f193]) ).

fof(f196,definition,
    ! [X1] :
      ( sQ1_spl
    <=> frontseat(skc6,skf5(X1)) ),
    introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).

fof(f197,plain,
    ! [X0] :
      ( ~ sQ1_spl
      | frontseat(skc6,skf5(X0)) ),
    inference(component_clause,[status(thm)],[f196]) ).

fof(f199,plain,
    ( sQ1_spl
    | sQ0_spl ),
    inference(split_clause,[status(thm)],[f187,f193,f196]) ).

fof(f280,plain,
    ( ~ sQ0_spl
    | ~ two(skc6,skc7) ),
    inference(resolution,[status(thm)],[f153,f194]) ).

fof(f281,plain,
    ( ~ sQ0_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f280,f170]) ).

fof(f282,plain,
    ~ sQ0_spl,
    inference(contradiction_clause,[status(thm)],[f281]) ).

fof(f283,plain,
    ! [X0] :
      ( ~ sQ1_spl
      | seat(skc6,skf5(X0)) ),
    inference(resolution,[status(thm)],[f197,f140]) ).

fof(f286,plain,
    ! [X0] :
      ( ~ sQ1_spl
      | furniture(skc6,skf5(X0)) ),
    inference(resolution,[status(thm)],[f283,f141]) ).

fof(f292,plain,
    ! [X0] :
      ( ~ sQ1_spl
      | instrumentality(skc6,skf5(X0)) ),
    inference(resolution,[status(thm)],[f286,f142]) ).

fof(f295,plain,
    ! [X0] :
      ( X0 = skf5(X0)
      | ~ member(skc6,X0,skc7) ),
    inference(resolution,[status(thm)],[f192,f152]) ).

fof(f296,plain,
    ! [X0] :
      ( ~ sQ1_spl
      | artifact(skc6,skf5(X0)) ),
    inference(resolution,[status(thm)],[f292,f122]) ).

fof(f297,plain,
    ! [X0] :
      ( ~ sQ1_spl
      | object(skc6,skf5(X0)) ),
    inference(resolution,[status(thm)],[f296,f123]) ).

fof(f298,plain,
    ! [X0] :
      ( ~ sQ1_spl
      | unisex(skc6,skf5(X0)) ),
    inference(resolution,[status(thm)],[f297,f127]) ).

fof(f306,plain,
    ( ~ two(skc6,skc7)
    | skf10(skc7,skc6) = skf5(skf10(skc7,skc6)) ),
    inference(resolution,[status(thm)],[f295,f153]) ).

fof(f307,definition,
    ( sQ8_spl
  <=> skf10(skc7,skc6) = skf5(skf10(skc7,skc6)) ),
    introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).

fof(f308,plain,
    ( ~ sQ8_spl
    | skf10(skc7,skc6) = skf5(skf10(skc7,skc6)) ),
    inference(component_clause,[status(thm)],[f307]) ).

fof(f310,definition,
    ( sQ9_spl
  <=> two(skc6,skc7) ),
    introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).

fof(f312,plain,
    ( sQ9_spl
    | ~ two(skc6,skc7) ),
    inference(component_clause,[status(thm)],[f310]) ).

fof(f313,plain,
    ( ~ sQ9_spl
    | sQ8_spl ),
    inference(split_clause,[status(thm)],[f306,f307,f310]) ).

fof(f319,plain,
    ( sQ9_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f312,f170]) ).

fof(f320,plain,
    sQ9_spl,
    inference(contradiction_clause,[status(thm)],[f319]) ).

fof(f322,plain,
    ( ~ two(skc6,skc7)
    | fellow(skc6,skf10(skc7,skc6)) ),
    inference(resolution,[status(thm)],[f185,f153]) ).

fof(f327,definition,
    ( sQ12_spl
  <=> fellow(skc6,skf10(skc7,skc6)) ),
    introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).

fof(f328,plain,
    ( ~ sQ12_spl
    | fellow(skc6,skf10(skc7,skc6)) ),
    inference(component_clause,[status(thm)],[f327]) ).

fof(f330,plain,
    ( ~ sQ9_spl
    | sQ12_spl ),
    inference(split_clause,[status(thm)],[f322,f327,f310]) ).

fof(f334,plain,
    ( ~ sQ12_spl
    | man(skc6,skf10(skc7,skc6)) ),
    inference(resolution,[status(thm)],[f328,f94]) ).

fof(f337,plain,
    ( ~ sQ12_spl
    | male(skc6,skf10(skc7,skc6)) ),
    inference(resolution,[status(thm)],[f334,f106]) ).

fof(f343,plain,
    ( ~ sQ12_spl
    | ~ unisex(skc6,skf10(skc7,skc6)) ),
    inference(resolution,[status(thm)],[f337,f144]) ).

fof(f374,plain,
    ( ~ sQ8_spl
    | ~ sQ1_spl
    | unisex(skc6,skf10(skc7,skc6)) ),
    inference(paramodulation,[status(thm)],[f308,f298]) ).

fof(f384,plain,
    ( ~ sQ8_spl
    | ~ sQ1_spl
    | ~ sQ12_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f374,f343]) ).

fof(f385,plain,
    ( ~ sQ8_spl
    | ~ sQ1_spl
    | ~ sQ12_spl ),
    inference(contradiction_clause,[status(thm)],[f384]) ).

fof(f386,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f199,f282,f313,f320,f330,f385]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01  % Problem  : NLP143-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.02  % Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.04/0.29  % Computer : n012.cluster.edu
% 0.04/0.29  % Model    : x86_64 x86_64
% 0.04/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.29  % Memory   : 8046.5625MB
% 0.04/0.29  % OS       : Linux 6.8.0-71-generic
% 0.04/0.29  % CPULimit : 300
% 0.04/0.29  % WCLimit  : 300
% 0.04/0.29  % DateTime : Mon Sep 21 01:42:51 UTC 2026
% 0.04/0.30  % CPUTime  : 
% 0.04/0.30  % Drodi V4.1.1
% 0.04/0.32  % Refutation found
% 0.04/0.32  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.04/0.32  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.07/0.33  % Elapsed time: 0.036358 seconds
% 0.07/0.33  % CPU time: 0.085370 seconds
% 0.07/0.33  % Total memory used: 83.496 MB
% 0.07/0.33  % Net memory used: 83.441 MB
%------------------------------------------------------------------------------