↑ Up

Drodi---4.1.1.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : SWB080+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n003.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 02:37:18 PM UTC 2026

% Result   : Theorem 223.77s 28.73s
% Output   : CNFRefutation 223.77s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   65 (  23 unt;   0 def)
%            Number of atoms       :  262 (  23 equ)
%            Maximal formula atoms :   21 (   4 avg)
%            Number of connectives :  289 (  92   ~;  93   |;  93   &)
%                                         (   6 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   30 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :   23 (  23 usr;  20 con; 0-3 aty)
%            Number of variables   :  141 ( 117   !;  24   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [S,P,O] :
      ( iext(P,S,O)
     => ip(P) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f52,axiom,
    ! [P,C,X,Y] :
      ( ( iext(P,X,Y)
        & iext(uri_rdfs_domain,P,C) )
     => icext(C,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f59,axiom,
    ! [P,C,X,Y] :
      ( ( iext(P,X,Y)
        & iext(uri_rdfs_range,P,C) )
     => icext(C,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f295,axiom,
    ! [Z,S1,A1] :
      ( ( iext(uri_rdf_rest,S1,uri_rdf_nil)
        & iext(uri_rdf_first,S1,A1) )
     => ( iext(uri_owl_oneOf,Z,S1)
      <=> ( ! [X] :
              ( icext(Z,X)
            <=> X = A1 )
          & ic(Z) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f344,axiom,
    ! [P1,P2] :
      ( iext(uri_rdfs_subPropertyOf,P1,P2)
    <=> ( ! [X,Y] :
            ( iext(P1,X,Y)
           => iext(P2,X,Y) )
        & ip(P2)
        & ip(P1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f559,conjecture,
    iext(uri_rdfs_subPropertyOf,uri_ex_p1,uri_ex_p2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f560,negated_conjecture,
    ~ iext(uri_rdfs_subPropertyOf,uri_ex_p1,uri_ex_p2),
    inference(negated_conjecture,[status(cth)],[f559]) ).

fof(f561,axiom,
    ? [X8,X4,X2,X5,X1,X6,X3,X7,X0] :
      ( iext(uri_ex_p2,uri_ex_w,uri_ex_w)
      & iext(uri_ex_p2,uri_ex_w,uri_ex_u)
      & iext(uri_ex_p1,uri_ex_w,uri_ex_u)
      & iext(uri_rdf_rest,X8,uri_rdf_nil)
      & iext(uri_rdf_first,X8,uri_ex_w)
      & iext(uri_owl_oneOf,X5,X4)
      & iext(uri_owl_oneOf,X6,X7)
      & iext(uri_owl_oneOf,X0,X3)
      & iext(uri_rdf_rest,X7,X8)
      & iext(uri_rdf_first,X7,uri_ex_u)
      & iext(uri_owl_oneOf,X1,X2)
      & iext(uri_rdfs_range,uri_ex_p2,X6)
      & iext(uri_rdfs_domain,uri_ex_p2,X5)
      & iext(uri_rdf_rest,X4,uri_rdf_nil)
      & iext(uri_rdf_first,X4,uri_ex_w)
      & iext(uri_rdf_rest,X3,uri_rdf_nil)
      & iext(uri_rdf_first,X3,uri_ex_w)
      & iext(uri_rdf_rest,X2,uri_rdf_nil)
      & iext(uri_rdf_first,X2,uri_ex_u)
      & iext(uri_rdfs_range,uri_ex_p1,X1)
      & iext(uri_rdfs_domain,uri_ex_p1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f562,plain,
    ! [S,P,O] :
      ( ip(P)
      | ~ iext(P,S,O) ),
    inference(pre_NNF_transformation,[status(thm)],[f1]) ).

fof(f563,plain,
    ! [P] :
      ( ip(P)
      | ! [S,O] : ~ iext(P,S,O) ),
    inference(miniscoping,[status(thm)],[f562]) ).

fof(f564,plain,
    ! [X0,X1,X2] :
      ( ip(X0)
      | ~ iext(X0,X1,X2) ),
    inference(cnf_transformation,[status(thm)],[f563]) ).

fof(f625,plain,
    ! [P,C,X,Y] :
      ( icext(C,X)
      | ~ iext(P,X,Y)
      | ~ iext(uri_rdfs_domain,P,C) ),
    inference(pre_NNF_transformation,[status(thm)],[f52]) ).

fof(f626,plain,
    ! [C,X] :
      ( icext(C,X)
      | ! [P] :
          ( ! [Y] : ~ iext(P,X,Y)
          | ~ iext(uri_rdfs_domain,P,C) ) ),
    inference(miniscoping,[status(thm)],[f625]) ).

fof(f627,plain,
    ! [X0,X1,X2,X3] :
      ( icext(X1,X2)
      | ~ iext(X0,X2,X3)
      | ~ iext(uri_rdfs_domain,X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f626]) ).

fof(f643,plain,
    ! [P,C,X,Y] :
      ( icext(C,Y)
      | ~ iext(P,X,Y)
      | ~ iext(uri_rdfs_range,P,C) ),
    inference(pre_NNF_transformation,[status(thm)],[f59]) ).

fof(f644,plain,
    ! [C,Y] :
      ( icext(C,Y)
      | ! [P] :
          ( ! [X] : ~ iext(P,X,Y)
          | ~ iext(uri_rdfs_range,P,C) ) ),
    inference(miniscoping,[status(thm)],[f643]) ).

fof(f645,plain,
    ! [X0,X1,X2,X3] :
      ( icext(X1,X3)
      | ~ iext(X0,X2,X3)
      | ~ iext(uri_rdfs_range,X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f644]) ).

fof(f1211,plain,
    ! [Z,S1,A1] :
      ( ( iext(uri_owl_oneOf,Z,S1)
      <=> ( ! [X] :
              ( icext(Z,X)
            <=> X = A1 )
          & ic(Z) ) )
      | ~ iext(uri_rdf_rest,S1,uri_rdf_nil)
      | ~ iext(uri_rdf_first,S1,A1) ),
    inference(pre_NNF_transformation,[status(thm)],[f295]) ).

fof(f1212,plain,
    ! [Z,S1,A1] :
      ( ( ( ? [X] :
              ( ( X = A1
                | icext(Z,X) )
              & ( X != A1
                | ~ icext(Z,X) ) )
          | ~ ic(Z)
          | iext(uri_owl_oneOf,Z,S1) )
        & ( ( ! [X] :
                ( ( X != A1
                  | icext(Z,X) )
                & ( X = A1
                  | ~ icext(Z,X) ) )
            & ic(Z) )
          | ~ iext(uri_owl_oneOf,Z,S1) ) )
      | ~ iext(uri_rdf_rest,S1,uri_rdf_nil)
      | ~ iext(uri_rdf_first,S1,A1) ),
    inference(NNF_transformation,[status(thm)],[f1211]) ).

fof(f1213,plain,
    ! [S1,A1] :
      ( ( ! [Z] :
            ( ? [X] :
                ( ( X = A1
                  | icext(Z,X) )
                & ( X != A1
                  | ~ icext(Z,X) ) )
            | ~ ic(Z)
            | iext(uri_owl_oneOf,Z,S1) )
        & ! [Z] :
            ( ( ! [X] :
                  ( X != A1
                  | icext(Z,X) )
              & ! [X] :
                  ( X = A1
                  | ~ icext(Z,X) )
              & ic(Z) )
            | ~ iext(uri_owl_oneOf,Z,S1) ) )
      | ~ iext(uri_rdf_rest,S1,uri_rdf_nil)
      | ~ iext(uri_rdf_first,S1,A1) ),
    inference(miniscoping,[status(thm)],[f1212]) ).

fof(f1214,plain,
    ! [S1,A1] :
      ( ( ! [Z] :
            ( ( ( sK10_skl(Z,A1,S1) = A1
                | icext(Z,sK10_skl(Z,A1,S1)) )
              & ( sK10_skl(Z,A1,S1) != A1
                | ~ icext(Z,sK10_skl(Z,A1,S1)) ) )
            | ~ ic(Z)
            | iext(uri_owl_oneOf,Z,S1) )
        & ! [Z] :
            ( ( ! [X] :
                  ( X != A1
                  | icext(Z,X) )
              & ! [X] :
                  ( X = A1
                  | ~ icext(Z,X) )
              & ic(Z) )
            | ~ iext(uri_owl_oneOf,Z,S1) ) )
      | ~ iext(uri_rdf_rest,S1,uri_rdf_nil)
      | ~ iext(uri_rdf_first,S1,A1) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK10_skl]),skolemize(X,sK10_skl(Z,A1,S1))],[f1213]) ).

fof(f1216,plain,
    ! [X0,X1,X2,X3] :
      ( X3 = X1
      | ~ icext(X2,X3)
      | ~ iext(uri_owl_oneOf,X2,X0)
      | ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
      | ~ iext(uri_rdf_first,X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f1214]) ).

fof(f1740,plain,
    ! [P1,P2] :
      ( iext(uri_rdfs_subPropertyOf,P1,P2)
    <=> ( ! [X,Y] :
            ( iext(P2,X,Y)
            | ~ iext(P1,X,Y) )
        & ip(P2)
        & ip(P1) ) ),
    inference(pre_NNF_transformation,[status(thm)],[f344]) ).

fof(f1741,plain,
    ! [P1,P2] :
      ( ( ? [X,Y] :
            ( ~ iext(P2,X,Y)
            & iext(P1,X,Y) )
        | ~ ip(P2)
        | ~ ip(P1)
        | iext(uri_rdfs_subPropertyOf,P1,P2) )
      & ( ( ! [X,Y] :
              ( iext(P2,X,Y)
              | ~ iext(P1,X,Y) )
          & ip(P2)
          & ip(P1) )
        | ~ iext(uri_rdfs_subPropertyOf,P1,P2) ) ),
    inference(NNF_transformation,[status(thm)],[f1740]) ).

fof(f1742,plain,
    ( ! [P1,P2] :
        ( ? [X,Y] :
            ( ~ iext(P2,X,Y)
            & iext(P1,X,Y) )
        | ~ ip(P2)
        | ~ ip(P1)
        | iext(uri_rdfs_subPropertyOf,P1,P2) )
    & ! [P1,P2] :
        ( ( ! [X,Y] :
              ( iext(P2,X,Y)
              | ~ iext(P1,X,Y) )
          & ip(P2)
          & ip(P1) )
        | ~ iext(uri_rdfs_subPropertyOf,P1,P2) ) ),
    inference(miniscoping,[status(thm)],[f1741]) ).

fof(f1743,plain,
    ( ! [P1,P2] :
        ( ( ~ iext(P2,sK116_skl(P2,P1),sK117_skl(P2,P1))
          & iext(P1,sK116_skl(P2,P1),sK117_skl(P2,P1)) )
        | ~ ip(P2)
        | ~ ip(P1)
        | iext(uri_rdfs_subPropertyOf,P1,P2) )
    & ! [P1,P2] :
        ( ( ! [X,Y] :
              ( iext(P2,X,Y)
              | ~ iext(P1,X,Y) )
          & ip(P2)
          & ip(P1) )
        | ~ iext(uri_rdfs_subPropertyOf,P1,P2) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK116_skl,sK117_skl]),skolemize(X,sK116_skl(P2,P1)),skolemize(Y,sK117_skl(P2,P1))],[f1742]) ).

fof(f1747,plain,
    ! [X0,X1] :
      ( iext(X0,sK116_skl(X1,X0),sK117_skl(X1,X0))
      | ~ ip(X1)
      | ~ ip(X0)
      | iext(uri_rdfs_subPropertyOf,X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f1743]) ).

fof(f1748,plain,
    ! [X0,X1] :
      ( ~ iext(X1,sK116_skl(X1,X0),sK117_skl(X1,X0))
      | ~ ip(X1)
      | ~ ip(X0)
      | iext(uri_rdfs_subPropertyOf,X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f1743]) ).

fof(f2405,plain,
    ~ iext(uri_rdfs_subPropertyOf,uri_ex_p1,uri_ex_p2),
    inference(cnf_transformation,[status(thm)],[f560]) ).

fof(f2406,plain,
    ( iext(uri_ex_p2,uri_ex_w,uri_ex_w)
    & iext(uri_ex_p2,uri_ex_w,uri_ex_u)
    & iext(uri_ex_p1,uri_ex_w,uri_ex_u)
    & ? [X8] :
        ( iext(uri_rdf_rest,X8,uri_rdf_nil)
        & iext(uri_rdf_first,X8,uri_ex_w)
        & ? [X4,X5] :
            ( iext(uri_owl_oneOf,X5,X4)
            & ? [X6,X7] :
                ( iext(uri_owl_oneOf,X6,X7)
                & ? [X3,X0] :
                    ( iext(uri_owl_oneOf,X0,X3)
                    & iext(uri_rdf_rest,X7,X8)
                    & iext(uri_rdf_first,X7,uri_ex_u)
                    & ? [X2,X1] :
                        ( iext(uri_owl_oneOf,X1,X2)
                        & iext(uri_rdfs_range,uri_ex_p2,X6)
                        & iext(uri_rdfs_domain,uri_ex_p2,X5)
                        & iext(uri_rdf_rest,X4,uri_rdf_nil)
                        & iext(uri_rdf_first,X4,uri_ex_w)
                        & iext(uri_rdf_rest,X3,uri_rdf_nil)
                        & iext(uri_rdf_first,X3,uri_ex_w)
                        & iext(uri_rdf_rest,X2,uri_rdf_nil)
                        & iext(uri_rdf_first,X2,uri_ex_u)
                        & iext(uri_rdfs_range,uri_ex_p1,X1)
                        & iext(uri_rdfs_domain,uri_ex_p1,X0) ) ) ) ) ) ),
    inference(miniscoping,[status(thm)],[f561]) ).

fof(f2407,plain,
    ( iext(uri_ex_p2,uri_ex_w,uri_ex_w)
    & iext(uri_ex_p2,uri_ex_w,uri_ex_u)
    & iext(uri_ex_p1,uri_ex_w,uri_ex_u)
    & iext(uri_rdf_rest,sK199_skl,uri_rdf_nil)
    & iext(uri_rdf_first,sK199_skl,uri_ex_w)
    & iext(uri_owl_oneOf,sK201_skl,sK200_skl)
    & iext(uri_owl_oneOf,sK202_skl,sK203_skl)
    & iext(uri_owl_oneOf,sK205_skl,sK204_skl)
    & iext(uri_rdf_rest,sK203_skl,sK199_skl)
    & iext(uri_rdf_first,sK203_skl,uri_ex_u)
    & iext(uri_owl_oneOf,sK207_skl,sK206_skl)
    & iext(uri_rdfs_range,uri_ex_p2,sK202_skl)
    & iext(uri_rdfs_domain,uri_ex_p2,sK201_skl)
    & iext(uri_rdf_rest,sK200_skl,uri_rdf_nil)
    & iext(uri_rdf_first,sK200_skl,uri_ex_w)
    & iext(uri_rdf_rest,sK204_skl,uri_rdf_nil)
    & iext(uri_rdf_first,sK204_skl,uri_ex_w)
    & iext(uri_rdf_rest,sK206_skl,uri_rdf_nil)
    & iext(uri_rdf_first,sK206_skl,uri_ex_u)
    & iext(uri_rdfs_range,uri_ex_p1,sK207_skl)
    & iext(uri_rdfs_domain,uri_ex_p1,sK205_skl) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK199_skl,sK200_skl,sK201_skl,sK202_skl,sK203_skl,sK204_skl,sK205_skl,sK206_skl,sK207_skl]),skolemize(X8,sK199_skl),skolemize(X4,sK200_skl),skolemize(X5,sK201_skl),skolemize(X6,sK202_skl),skolemize(X7,sK203_skl),skolemize(X3,sK204_skl),skolemize(X0,sK205_skl),skolemize(X2,sK206_skl),skolemize(X1,sK207_skl)],[f2406]) ).

fof(f2408,plain,
    iext(uri_rdfs_domain,uri_ex_p1,sK205_skl),
    inference(cnf_transformation,[status(thm)],[f2407]) ).

fof(f2409,plain,
    iext(uri_rdfs_range,uri_ex_p1,sK207_skl),
    inference(cnf_transformation,[status(thm)],[f2407]) ).

fof(f2410,plain,
    iext(uri_rdf_first,sK206_skl,uri_ex_u),
    inference(cnf_transformation,[status(thm)],[f2407]) ).

fof(f2411,plain,
    iext(uri_rdf_rest,sK206_skl,uri_rdf_nil),
    inference(cnf_transformation,[status(thm)],[f2407]) ).

fof(f2412,plain,
    iext(uri_rdf_first,sK204_skl,uri_ex_w),
    inference(cnf_transformation,[status(thm)],[f2407]) ).

fof(f2413,plain,
    iext(uri_rdf_rest,sK204_skl,uri_rdf_nil),
    inference(cnf_transformation,[status(thm)],[f2407]) ).

fof(f2418,plain,
    iext(uri_owl_oneOf,sK207_skl,sK206_skl),
    inference(cnf_transformation,[status(thm)],[f2407]) ).

fof(f2421,plain,
    iext(uri_owl_oneOf,sK205_skl,sK204_skl),
    inference(cnf_transformation,[status(thm)],[f2407]) ).

fof(f2426,plain,
    iext(uri_ex_p1,uri_ex_w,uri_ex_u),
    inference(cnf_transformation,[status(thm)],[f2407]) ).

fof(f2427,plain,
    iext(uri_ex_p2,uri_ex_w,uri_ex_u),
    inference(cnf_transformation,[status(thm)],[f2407]) ).

fof(f2428,plain,
    iext(uri_ex_p2,uri_ex_w,uri_ex_w),
    inference(cnf_transformation,[status(thm)],[f2407]) ).

fof(f2535,plain,
    ! [X0,X1] :
      ( ~ iext(X1,sK116_skl(X1,X0),sK117_skl(X1,X0))
      | ~ ip(X0)
      | iext(uri_rdfs_subPropertyOf,X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f1748,f564]) ).

fof(f2572,plain,
    ip(uri_ex_p2),
    inference(resolution,[status(thm)],[f564,f2428]) ).

fof(f2573,plain,
    ip(uri_ex_p1),
    inference(resolution,[status(thm)],[f564,f2426]) ).

fof(f2757,plain,
    ! [X0,X1] :
      ( icext(sK205_skl,X0)
      | ~ iext(uri_ex_p1,X0,X1) ),
    inference(resolution,[status(thm)],[f627,f2408]) ).

fof(f2864,plain,
    ! [X0,X1] :
      ( icext(sK207_skl,X1)
      | ~ iext(uri_ex_p1,X0,X1) ),
    inference(resolution,[status(thm)],[f645,f2409]) ).

fof(f3139,plain,
    ! [X0,X1] :
      ( X1 = uri_ex_w
      | ~ icext(X0,X1)
      | ~ iext(uri_owl_oneOf,X0,sK204_skl)
      | ~ iext(uri_rdf_rest,sK204_skl,uri_rdf_nil) ),
    inference(resolution,[status(thm)],[f1216,f2412]) ).

fof(f3140,plain,
    ! [X0,X1] :
      ( X1 = uri_ex_u
      | ~ icext(X0,X1)
      | ~ iext(uri_owl_oneOf,X0,sK206_skl)
      | ~ iext(uri_rdf_rest,sK206_skl,uri_rdf_nil) ),
    inference(resolution,[status(thm)],[f1216,f2410]) ).

fof(f3143,plain,
    ! [X0,X1] :
      ( X1 = uri_ex_w
      | ~ icext(X0,X1)
      | ~ iext(uri_owl_oneOf,X0,sK204_skl) ),
    inference(forward_subsumption_resolution,[status(thm)],[f3139,f2413]) ).

fof(f3144,plain,
    ! [X0,X1] :
      ( X1 = uri_ex_u
      | ~ icext(X0,X1)
      | ~ iext(uri_owl_oneOf,X0,sK206_skl) ),
    inference(forward_subsumption_resolution,[status(thm)],[f3140,f2411]) ).

fof(f11078,plain,
    ! [X0] :
      ( X0 = uri_ex_u
      | ~ icext(sK207_skl,X0) ),
    inference(resolution,[status(thm)],[f2418,f3144]) ).

fof(f11170,plain,
    ! [X0] :
      ( X0 = uri_ex_w
      | ~ icext(sK205_skl,X0) ),
    inference(resolution,[status(thm)],[f2421,f3143]) ).

fof(f13753,plain,
    ! [X0] :
      ( iext(uri_ex_p1,sK116_skl(X0,uri_ex_p1),sK117_skl(X0,uri_ex_p1))
      | ~ ip(X0)
      | iext(uri_rdfs_subPropertyOf,uri_ex_p1,X0) ),
    inference(resolution,[status(thm)],[f1747,f2573]) ).

fof(f15355,plain,
    ( iext(uri_ex_p1,sK116_skl(uri_ex_p2,uri_ex_p1),sK117_skl(uri_ex_p2,uri_ex_p1))
    | iext(uri_rdfs_subPropertyOf,uri_ex_p1,uri_ex_p2) ),
    inference(resolution,[status(thm)],[f13753,f2572]) ).

fof(f15356,plain,
    iext(uri_ex_p1,sK116_skl(uri_ex_p2,uri_ex_p1),sK117_skl(uri_ex_p2,uri_ex_p1)),
    inference(forward_subsumption_resolution,[status(thm)],[f15355,f2405]) ).

fof(f15357,plain,
    icext(sK207_skl,sK117_skl(uri_ex_p2,uri_ex_p1)),
    inference(resolution,[status(thm)],[f15356,f2864]) ).

fof(f15358,plain,
    icext(sK205_skl,sK116_skl(uri_ex_p2,uri_ex_p1)),
    inference(resolution,[status(thm)],[f15356,f2757]) ).

fof(f15364,plain,
    sK117_skl(uri_ex_p2,uri_ex_p1) = uri_ex_u,
    inference(resolution,[status(thm)],[f15357,f11078]) ).

fof(f15374,plain,
    ( ~ iext(uri_ex_p2,sK116_skl(uri_ex_p2,uri_ex_p1),uri_ex_u)
    | ~ ip(uri_ex_p1)
    | iext(uri_rdfs_subPropertyOf,uri_ex_p1,uri_ex_p2) ),
    inference(paramodulation,[status(thm)],[f15364,f2535]) ).

fof(f15375,plain,
    ( ~ iext(uri_ex_p2,sK116_skl(uri_ex_p2,uri_ex_p1),uri_ex_u)
    | ~ ip(uri_ex_p1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f15374,f2405]) ).

fof(f15376,plain,
    sK116_skl(uri_ex_p2,uri_ex_p1) = uri_ex_w,
    inference(resolution,[status(thm)],[f15358,f11170]) ).

fof(f15380,plain,
    ( ~ iext(uri_ex_p2,uri_ex_w,uri_ex_u)
    | ~ ip(uri_ex_p1) ),
    inference(backward_demodulation,[status(thm)],[f15376,f15375]) ).

fof(f15387,plain,
    ~ iext(uri_ex_p2,uri_ex_w,uri_ex_u),
    inference(forward_subsumption_resolution,[status(thm)],[f15380,f2573]) ).

fof(f15388,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[f2427,f15387]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : SWB080+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.40  % Computer : n003.cluster.edu
% 0.15/0.40  % Model    : x86_64 x86_64
% 0.15/0.40  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.40  % Memory   : 8046.5625MB
% 0.15/0.40  % OS       : Linux 6.8.0-71-generic
% 0.15/0.40  % CPULimit : 300
% 0.15/0.40  % WCLimit  : 300
% 0.15/0.40  % DateTime : Mon Sep 21 07:47:00 UTC 2026
% 0.15/0.41  % CPUTime  : 
% 0.19/0.49  % Drodi V4.1.1
% 223.77/28.73  % Refutation found
% 223.77/28.73  % SZS status Theorem for theBenchmark: Theorem is valid
% 223.77/28.73  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 223.77/28.78  % Elapsed time: 28.354058 seconds
% 223.77/28.78  % CPU time: 224.174305 seconds
% 223.77/28.78  % Total memory used: 444.065 MB
% 223.77/28.78  % Net memory used: 411.140 MB
%------------------------------------------------------------------------------