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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : NLP208+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 : n007.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 01:31:31 PM UTC 2026

% Result   : Theorem 0.17s 0.49s
% Output   : CNFRefutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   43 (  11 unt;   0 def)
%            Number of atoms       :  305 (   5 equ)
%            Maximal formula atoms :   48 (   7 avg)
%            Number of connectives :  308 (  46   ~;  34   |; 210   &)
%                                         (   0 <=>;  18  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   51 (   9 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   44 (  42 usr;   1 prp; 0-4 aty)
%            Number of functors    :   14 (  14 usr;  11 con; 0-2 aty)
%            Number of variables   :  143 (  87   !;  56   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f24,axiom,
    ! [U,V] :
      ( man(U,V)
     => male(U,V) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f38,axiom,
    ! [U,V] :
      ( object(U,V)
     => unisex(U,V) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f45,axiom,
    ! [U,V] :
      ( artifact(U,V)
     => object(U,V) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f46,axiom,
    ! [U,V] :
      ( instrumentality(U,V)
     => artifact(U,V) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f47,axiom,
    ! [U,V] :
      ( device(U,V)
     => instrumentality(U,V) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f48,axiom,
    ! [U,V] :
      ( wheel(U,V)
     => device(U,V) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f63,axiom,
    ! [U,V] :
      ( unisex(U,V)
     => ~ male(U,V) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f71,axiom,
    ! [U,V,W,X] :
      ( be(U,V,W,X)
     => W = X ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f72,conjecture,
    ~ ? [U] :
        ( ? [V,W,X,Y,Z,X1,X2,X3,X4,X5] :
            ( behind(U,X5,X5)
            & be(U,X4,V,X5)
            & state(U,X4)
            & wheel(U,X5)
            & ! [X13] :
                ( member(U,X13,X3)
               => ( cheap(U,X13)
                  & black(U,X13)
                  & coat(U,X13) ) )
            & group(U,X3)
            & ! [X10] :
                ( member(U,X10,X3)
               => ! [X11] :
                    ( member(U,X11,X2)
                   => ? [X12] :
                        ( wear(U,X12)
                        & nonreflexive(U,X12)
                        & present(U,X12)
                        & patient(U,X12,X10)
                        & agent(U,X12,X11)
                        & event(U,X12) ) ) )
            & ! [X9] :
                ( member(U,X9,X2)
               => ( young(U,X9)
                  & fellow(U,X9) ) )
            & group(U,X2)
            & two(U,X2)
            & ! [X6] :
                ( member(U,X6,X2)
               => ? [X7,X8] :
                    ( in(U,X8,Z)
                    & be(U,X7,X6,X8)
                    & state(U,X7) ) )
            & in(U,X1,Z)
            & down(U,X1,Z)
            & barrel(U,X1)
            & present(U,X1)
            & agent(U,X1,X)
            & event(U,X1)
            & lonely(U,Z)
            & street(U,Z)
            & placename(U,Y)
            & hollywood_placename(U,Y)
            & city(U,Z)
            & of(U,Y,Z)
            & old(U,X)
            & dirty(U,X)
            & white(U,X)
            & chevy(U,X)
            & frontseat(U,Z)
            & forename(U,W)
            & jules_forename(U,W)
            & man(U,V)
            & of(U,W,V) )
        & actual_world(U) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f73,negated_conjecture,
    ~ ~ ? [U] :
          ( ? [V,W,X,Y,Z,X1,X2,X3,X4,X5] :
              ( behind(U,X5,X5)
              & be(U,X4,V,X5)
              & state(U,X4)
              & wheel(U,X5)
              & ! [X13] :
                  ( member(U,X13,X3)
                 => ( cheap(U,X13)
                    & black(U,X13)
                    & coat(U,X13) ) )
              & group(U,X3)
              & ! [X10] :
                  ( member(U,X10,X3)
                 => ! [X11] :
                      ( member(U,X11,X2)
                     => ? [X12] :
                          ( wear(U,X12)
                          & nonreflexive(U,X12)
                          & present(U,X12)
                          & patient(U,X12,X10)
                          & agent(U,X12,X11)
                          & event(U,X12) ) ) )
              & ! [X9] :
                  ( member(U,X9,X2)
                 => ( young(U,X9)
                    & fellow(U,X9) ) )
              & group(U,X2)
              & two(U,X2)
              & ! [X6] :
                  ( member(U,X6,X2)
                 => ? [X7,X8] :
                      ( in(U,X8,Z)
                      & be(U,X7,X6,X8)
                      & state(U,X7) ) )
              & in(U,X1,Z)
              & down(U,X1,Z)
              & barrel(U,X1)
              & present(U,X1)
              & agent(U,X1,X)
              & event(U,X1)
              & lonely(U,Z)
              & street(U,Z)
              & placename(U,Y)
              & hollywood_placename(U,Y)
              & city(U,Z)
              & of(U,Y,Z)
              & old(U,X)
              & dirty(U,X)
              & white(U,X)
              & chevy(U,X)
              & frontseat(U,Z)
              & forename(U,W)
              & jules_forename(U,W)
              & man(U,V)
              & of(U,W,V) )
          & actual_world(U) ),
    inference(negated_conjecture,[status(cth)],[f72]) ).

fof(f120,plain,
    ! [U,V] :
      ( male(U,V)
      | ~ man(U,V) ),
    inference(pre_NNF_transformation,[status(thm)],[f24]) ).

fof(f121,plain,
    ! [X0,X1] :
      ( male(X0,X1)
      | ~ man(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f120]) ).

fof(f148,plain,
    ! [U,V] :
      ( unisex(U,V)
      | ~ object(U,V) ),
    inference(pre_NNF_transformation,[status(thm)],[f38]) ).

fof(f149,plain,
    ! [X0,X1] :
      ( unisex(X0,X1)
      | ~ object(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f148]) ).

fof(f162,plain,
    ! [U,V] :
      ( object(U,V)
      | ~ artifact(U,V) ),
    inference(pre_NNF_transformation,[status(thm)],[f45]) ).

fof(f163,plain,
    ! [X0,X1] :
      ( object(X0,X1)
      | ~ artifact(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f162]) ).

fof(f164,plain,
    ! [U,V] :
      ( artifact(U,V)
      | ~ instrumentality(U,V) ),
    inference(pre_NNF_transformation,[status(thm)],[f46]) ).

fof(f165,plain,
    ! [X0,X1] :
      ( artifact(X0,X1)
      | ~ instrumentality(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f164]) ).

fof(f166,plain,
    ! [U,V] :
      ( instrumentality(U,V)
      | ~ device(U,V) ),
    inference(pre_NNF_transformation,[status(thm)],[f47]) ).

fof(f167,plain,
    ! [X0,X1] :
      ( instrumentality(X0,X1)
      | ~ device(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f166]) ).

fof(f168,plain,
    ! [U,V] :
      ( device(U,V)
      | ~ wheel(U,V) ),
    inference(pre_NNF_transformation,[status(thm)],[f48]) ).

fof(f169,plain,
    ! [X0,X1] :
      ( device(X0,X1)
      | ~ wheel(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f168]) ).

fof(f198,plain,
    ! [U,V] :
      ( ~ male(U,V)
      | ~ unisex(U,V) ),
    inference(pre_NNF_transformation,[status(thm)],[f63]) ).

fof(f199,plain,
    ! [X0,X1] :
      ( ~ male(X0,X1)
      | ~ unisex(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f198]) ).

fof(f224,plain,
    ! [U,V,W,X] :
      ( W = X
      | ~ be(U,V,W,X) ),
    inference(pre_NNF_transformation,[status(thm)],[f71]) ).

fof(f225,plain,
    ! [W,X] :
      ( W = X
      | ! [U,V] : ~ be(U,V,W,X) ),
    inference(miniscoping,[status(thm)],[f224]) ).

fof(f226,plain,
    ! [X0,X1,X2,X3] :
      ( X2 = X3
      | ~ be(X0,X1,X2,X3) ),
    inference(cnf_transformation,[status(thm)],[f225]) ).

fof(f227,plain,
    ? [U] :
      ( ? [V,W,X,Y,Z,X1,X2,X3,X4,X5] :
          ( behind(U,X5,X5)
          & be(U,X4,V,X5)
          & state(U,X4)
          & wheel(U,X5)
          & ! [X13] :
              ( ( cheap(U,X13)
                & black(U,X13)
                & coat(U,X13) )
              | ~ member(U,X13,X3) )
          & group(U,X3)
          & ! [X10] :
              ( ! [X11] :
                  ( ? [X12] :
                      ( wear(U,X12)
                      & nonreflexive(U,X12)
                      & present(U,X12)
                      & patient(U,X12,X10)
                      & agent(U,X12,X11)
                      & event(U,X12) )
                  | ~ member(U,X11,X2) )
              | ~ member(U,X10,X3) )
          & ! [X9] :
              ( ( young(U,X9)
                & fellow(U,X9) )
              | ~ member(U,X9,X2) )
          & group(U,X2)
          & two(U,X2)
          & ! [X6] :
              ( ? [X7,X8] :
                  ( in(U,X8,Z)
                  & be(U,X7,X6,X8)
                  & state(U,X7) )
              | ~ member(U,X6,X2) )
          & in(U,X1,Z)
          & down(U,X1,Z)
          & barrel(U,X1)
          & present(U,X1)
          & agent(U,X1,X)
          & event(U,X1)
          & lonely(U,Z)
          & street(U,Z)
          & placename(U,Y)
          & hollywood_placename(U,Y)
          & city(U,Z)
          & of(U,Y,Z)
          & old(U,X)
          & dirty(U,X)
          & white(U,X)
          & chevy(U,X)
          & frontseat(U,Z)
          & forename(U,W)
          & jules_forename(U,W)
          & man(U,V)
          & of(U,W,V) )
      & actual_world(U) ),
    inference(pre_NNF_transformation,[status(thm)],[f73]) ).

fof(f228,plain,
    ? [U] :
      ( ? [X5] :
          ( behind(U,X5,X5)
          & ? [V,X4] :
              ( be(U,X4,V,X5)
              & state(U,X4)
              & wheel(U,X5)
              & ? [X3] :
                  ( ! [X13] :
                      ( ( cheap(U,X13)
                        & black(U,X13)
                        & coat(U,X13) )
                      | ~ member(U,X13,X3) )
                  & group(U,X3)
                  & ? [X2] :
                      ( ! [X10] :
                          ( ! [X11] :
                              ( ? [X12] :
                                  ( wear(U,X12)
                                  & nonreflexive(U,X12)
                                  & present(U,X12)
                                  & patient(U,X12,X10)
                                  & agent(U,X12,X11)
                                  & event(U,X12) )
                              | ~ member(U,X11,X2) )
                          | ~ member(U,X10,X3) )
                      & ! [X9] :
                          ( ( young(U,X9)
                            & fellow(U,X9) )
                          | ~ member(U,X9,X2) )
                      & group(U,X2)
                      & two(U,X2)
                      & ? [Z] :
                          ( ! [X6] :
                              ( ? [X8] :
                                  ( in(U,X8,Z)
                                  & ? [X7] :
                                      ( be(U,X7,X6,X8)
                                      & state(U,X7) ) )
                              | ~ member(U,X6,X2) )
                          & ? [X1] :
                              ( in(U,X1,Z)
                              & down(U,X1,Z)
                              & barrel(U,X1)
                              & present(U,X1)
                              & ? [X] :
                                  ( agent(U,X1,X)
                                  & event(U,X1)
                                  & lonely(U,Z)
                                  & street(U,Z)
                                  & ? [Y] :
                                      ( placename(U,Y)
                                      & hollywood_placename(U,Y)
                                      & city(U,Z)
                                      & of(U,Y,Z)
                                      & old(U,X)
                                      & dirty(U,X)
                                      & white(U,X)
                                      & chevy(U,X)
                                      & frontseat(U,Z)
                                      & ? [W] :
                                          ( forename(U,W)
                                          & jules_forename(U,W)
                                          & man(U,V)
                                          & of(U,W,V) ) ) ) ) ) ) ) ) )
      & actual_world(U) ),
    inference(miniscoping,[status(thm)],[f227]) ).

fof(f229,plain,
    ( behind(sK3_skl,sK4_skl,sK4_skl)
    & be(sK3_skl,sK6_skl,sK5_skl,sK4_skl)
    & state(sK3_skl,sK6_skl)
    & wheel(sK3_skl,sK4_skl)
    & ! [X13] :
        ( ( cheap(sK3_skl,X13)
          & black(sK3_skl,X13)
          & coat(sK3_skl,X13) )
        | ~ member(sK3_skl,X13,sK7_skl) )
    & group(sK3_skl,sK7_skl)
    & ! [X10] :
        ( ! [X11] :
            ( ( wear(sK3_skl,sK16_skl(X11,X10))
              & nonreflexive(sK3_skl,sK16_skl(X11,X10))
              & present(sK3_skl,sK16_skl(X11,X10))
              & patient(sK3_skl,sK16_skl(X11,X10),X10)
              & agent(sK3_skl,sK16_skl(X11,X10),X11)
              & event(sK3_skl,sK16_skl(X11,X10)) )
            | ~ member(sK3_skl,X11,sK8_skl) )
        | ~ member(sK3_skl,X10,sK7_skl) )
    & ! [X9] :
        ( ( young(sK3_skl,X9)
          & fellow(sK3_skl,X9) )
        | ~ member(sK3_skl,X9,sK8_skl) )
    & group(sK3_skl,sK8_skl)
    & two(sK3_skl,sK8_skl)
    & ! [X6] :
        ( ( in(sK3_skl,sK14_skl(X6),sK9_skl)
          & be(sK3_skl,sK15_skl(X6),X6,sK14_skl(X6))
          & state(sK3_skl,sK15_skl(X6)) )
        | ~ member(sK3_skl,X6,sK8_skl) )
    & in(sK3_skl,sK10_skl,sK9_skl)
    & down(sK3_skl,sK10_skl,sK9_skl)
    & barrel(sK3_skl,sK10_skl)
    & present(sK3_skl,sK10_skl)
    & agent(sK3_skl,sK10_skl,sK11_skl)
    & event(sK3_skl,sK10_skl)
    & lonely(sK3_skl,sK9_skl)
    & street(sK3_skl,sK9_skl)
    & placename(sK3_skl,sK12_skl)
    & hollywood_placename(sK3_skl,sK12_skl)
    & city(sK3_skl,sK9_skl)
    & of(sK3_skl,sK12_skl,sK9_skl)
    & old(sK3_skl,sK11_skl)
    & dirty(sK3_skl,sK11_skl)
    & white(sK3_skl,sK11_skl)
    & chevy(sK3_skl,sK11_skl)
    & frontseat(sK3_skl,sK9_skl)
    & forename(sK3_skl,sK13_skl)
    & jules_forename(sK3_skl,sK13_skl)
    & man(sK3_skl,sK5_skl)
    & of(sK3_skl,sK13_skl,sK5_skl)
    & actual_world(sK3_skl) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl,sK4_skl,sK5_skl,sK6_skl,sK7_skl,sK8_skl,sK9_skl,sK10_skl,sK11_skl,sK12_skl,sK13_skl,sK14_skl,sK15_skl,sK16_skl]),skolemize(U,sK3_skl),skolemize(X5,sK4_skl),skolemize(V,sK5_skl),skolemize(X4,sK6_skl),skolemize(X3,sK7_skl),skolemize(X2,sK8_skl),skolemize(Z,sK9_skl),skolemize(X1,sK10_skl),skolemize(X,sK11_skl),skolemize(Y,sK12_skl),skolemize(W,sK13_skl),skolemize(X8,sK14_skl(X6)),skolemize(X7,sK15_skl(X6)),skolemize(X12,sK16_skl(X11,X10))],[f228]) ).

fof(f232,plain,
    man(sK3_skl,sK5_skl),
    inference(cnf_transformation,[status(thm)],[f229]) ).

fof(f269,plain,
    wheel(sK3_skl,sK4_skl),
    inference(cnf_transformation,[status(thm)],[f229]) ).

fof(f271,plain,
    be(sK3_skl,sK6_skl,sK5_skl,sK4_skl),
    inference(cnf_transformation,[status(thm)],[f229]) ).

fof(f279,plain,
    sK5_skl = sK4_skl,
    inference(resolution,[status(thm)],[f226,f271]) ).

fof(f282,plain,
    man(sK3_skl,sK4_skl),
    inference(backward_demodulation,[status(thm)],[f279,f232]) ).

fof(f287,plain,
    ! [X0,X1] :
      ( object(X0,X1)
      | ~ instrumentality(X0,X1) ),
    inference(resolution,[status(thm)],[f165,f163]) ).

fof(f298,plain,
    ! [X0,X1] :
      ( ~ man(X0,X1)
      | ~ unisex(X0,X1) ),
    inference(resolution,[status(thm)],[f199,f121]) ).

fof(f360,plain,
    ~ unisex(sK3_skl,sK4_skl),
    inference(resolution,[status(thm)],[f298,f282]) ).

fof(f362,plain,
    ~ object(sK3_skl,sK4_skl),
    inference(resolution,[status(thm)],[f360,f149]) ).

fof(f366,plain,
    ~ instrumentality(sK3_skl,sK4_skl),
    inference(resolution,[status(thm)],[f362,f287]) ).

fof(f406,plain,
    ~ device(sK3_skl,sK4_skl),
    inference(resolution,[status(thm)],[f366,f167]) ).

fof(f425,plain,
    ~ wheel(sK3_skl,sK4_skl),
    inference(resolution,[status(thm)],[f406,f169]) ).

fof(f426,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f425,f269]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : NLP208+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.07  % Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.45  % Computer : n007.cluster.edu
% 0.17/0.45  % Model    : x86_64 x86_64
% 0.17/0.45  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.45  % Memory   : 8046.5625MB
% 0.17/0.45  % OS       : Linux 6.8.0-71-generic
% 0.17/0.45  % CPULimit : 300
% 0.17/0.45  % WCLimit  : 300
% 0.17/0.45  % DateTime : Mon Sep 21 01:47:05 UTC 2026
% 0.17/0.45  % CPUTime  : 
% 0.17/0.47  % Drodi V4.1.1
% 0.17/0.49  % Refutation found
% 0.17/0.49  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.17/0.49  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.17/0.54  % Elapsed time: 0.081797 seconds
% 0.17/0.54  % CPU time: 0.145743 seconds
% 0.17/0.54  % Total memory used: 24.559 MB
% 0.17/0.54  % Net memory used: 24.541 MB
%------------------------------------------------------------------------------