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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : SWC075+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 : n001.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 02:39:52 PM UTC 2026

% Result   : Theorem 9.46s 1.71s
% Output   : CNFRefutation 6.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   25
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   91 (  28 unt;   0 def)
%            Number of atoms       :  315 (  86 equ)
%            Maximal formula atoms :   16 (   3 avg)
%            Number of connectives :  388 ( 164   ~; 151   |;  52   &)
%                                         (   4 <=>;  17  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   20 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   7 con; 0-2 aty)
%            Number of variables   :   94 (  74   !;  20   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f7,axiom,
    ! [U] :
      ( ssList(U)
     => ! [V] :
          ( ssList(V)
         => ( segmentP(U,V)
          <=> ? [W] :
                ( ? [X] :
                    ( app(app(W,V),X) = U
                    & ssList(X) )
                & ssList(W) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f15,axiom,
    ! [U] :
      ( ssList(U)
     => ! [V] :
          ( ssList(V)
         => ( neq(U,V)
          <=> U != V ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f17,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f26,axiom,
    ! [U] :
      ( ssList(U)
     => ! [V] :
          ( ssList(V)
         => ssList(app(U,V)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f28,axiom,
    ! [U] :
      ( ssList(U)
     => app(nil,U) = U ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f55,axiom,
    ! [U] :
      ( ssList(U)
     => segmentP(U,U) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f84,axiom,
    ! [U] :
      ( ssList(U)
     => app(U,nil) = U ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f96,conjecture,
    ! [U] :
      ( ssList(U)
     => ! [V] :
          ( ssList(V)
         => ! [W] :
              ( ssList(W)
             => ! [X] :
                  ( ( nil = U
                    & nil = V )
                  | ! [Z] :
                      ( ssList(Z)
                     => ! [X1] :
                          ( app(X1,Z) != W
                          | app(Z,X1) != X
                          | ~ ssList(X1) ) )
                  | ? [Y] :
                      ( segmentP(U,Y)
                      & segmentP(V,Y)
                      & neq(Y,nil)
                      & ssList(Y) )
                  | U != W
                  | V != X
                  | ~ ssList(X) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f97,negated_conjecture,
    ~ ! [U] :
        ( ssList(U)
       => ! [V] :
            ( ssList(V)
           => ! [W] :
                ( ssList(W)
               => ! [X] :
                    ( ( nil = U
                      & nil = V )
                    | ! [Z] :
                        ( ssList(Z)
                       => ! [X1] :
                            ( app(X1,Z) != W
                            | app(Z,X1) != X
                            | ~ ssList(X1) ) )
                    | ? [Y] :
                        ( segmentP(U,Y)
                        & segmentP(V,Y)
                        & neq(Y,nil)
                        & ssList(Y) )
                    | U != W
                    | V != X
                    | ~ ssList(X) ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f96]) ).

fof(f131,plain,
    ! [U] :
      ( ! [V] :
          ( ( segmentP(U,V)
          <=> ? [W] :
                ( ? [X] :
                    ( app(app(W,V),X) = U
                    & ssList(X) )
                & ssList(W) ) )
          | ~ ssList(V) )
      | ~ ssList(U) ),
    inference(pre_NNF_transformation,[status(thm)],[f7]) ).

fof(f132,plain,
    ! [U] :
      ( ! [V] :
          ( ( ( ! [W] :
                  ( ! [X] :
                      ( app(app(W,V),X) != U
                      | ~ ssList(X) )
                  | ~ ssList(W) )
              | segmentP(U,V) )
            & ( ? [W] :
                  ( ? [X] :
                      ( app(app(W,V),X) = U
                      & ssList(X) )
                  & ssList(W) )
              | ~ segmentP(U,V) ) )
          | ~ ssList(V) )
      | ~ ssList(U) ),
    inference(NNF_transformation,[status(thm)],[f131]) ).

fof(f133,plain,
    ! [U] :
      ( ! [V] :
          ( ( ( ! [W] :
                  ( ! [X] :
                      ( app(app(W,V),X) != U
                      | ~ ssList(X) )
                  | ~ ssList(W) )
              | segmentP(U,V) )
            & ( ( app(app(sK7_skl(V,U),V),sK8_skl(V,U)) = U
                & ssList(sK8_skl(V,U))
                & ssList(sK7_skl(V,U)) )
              | ~ segmentP(U,V) ) )
          | ~ ssList(V) )
      | ~ ssList(U) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK7_skl,sK8_skl]),skolemize(W,sK7_skl(V,U)),skolemize(X,sK8_skl(V,U))],[f132]) ).

fof(f137,plain,
    ! [X0,X1,X2,X3] :
      ( app(app(X2,X1),X3) != X0
      | ~ ssList(X3)
      | ~ ssList(X2)
      | segmentP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[status(thm)],[f133]) ).

fof(f217,plain,
    ! [U] :
      ( ! [V] :
          ( ( neq(U,V)
          <=> U != V )
          | ~ ssList(V) )
      | ~ ssList(U) ),
    inference(pre_NNF_transformation,[status(thm)],[f15]) ).

fof(f218,plain,
    ! [U] :
      ( ! [V] :
          ( ( ( U = V
              | neq(U,V) )
            & ( U != V
              | ~ neq(U,V) ) )
          | ~ ssList(V) )
      | ~ ssList(U) ),
    inference(NNF_transformation,[status(thm)],[f217]) ).

fof(f220,plain,
    ! [X0,X1] :
      ( X0 = X1
      | neq(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[status(thm)],[f218]) ).

fof(f223,plain,
    ssList(nil),
    inference(cnf_transformation,[status(thm)],[f17]) ).

fof(f244,plain,
    ! [U] :
      ( ! [V] :
          ( ssList(app(U,V))
          | ~ ssList(V) )
      | ~ ssList(U) ),
    inference(pre_NNF_transformation,[status(thm)],[f26]) ).

fof(f245,plain,
    ! [X0,X1] :
      ( ssList(app(X0,X1))
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[status(thm)],[f244]) ).

fof(f248,plain,
    ! [U] :
      ( app(nil,U) = U
      | ~ ssList(U) ),
    inference(pre_NNF_transformation,[status(thm)],[f28]) ).

fof(f249,plain,
    ! [X0] :
      ( app(nil,X0) = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[status(thm)],[f248]) ).

fof(f318,plain,
    ! [U] :
      ( segmentP(U,U)
      | ~ ssList(U) ),
    inference(pre_NNF_transformation,[status(thm)],[f55]) ).

fof(f319,plain,
    ! [X0] :
      ( segmentP(X0,X0)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[status(thm)],[f318]) ).

fof(f388,plain,
    ! [U] :
      ( app(U,nil) = U
      | ~ ssList(U) ),
    inference(pre_NNF_transformation,[status(thm)],[f84]) ).

fof(f389,plain,
    ! [X0] :
      ( app(X0,nil) = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[status(thm)],[f388]) ).

fof(f415,plain,
    ? [U] :
      ( ? [V] :
          ( ? [W] :
              ( ? [X] :
                  ( ( nil != U
                    | nil != V )
                  & ? [Z] :
                      ( ? [X1] :
                          ( app(X1,Z) = W
                          & app(Z,X1) = X
                          & ssList(X1) )
                      & ssList(Z) )
                  & ! [Y] :
                      ( ~ segmentP(U,Y)
                      | ~ segmentP(V,Y)
                      | ~ neq(Y,nil)
                      | ~ ssList(Y) )
                  & U = W
                  & V = X
                  & ssList(X) )
              & ssList(W) )
          & ssList(V) )
      & ssList(U) ),
    inference(pre_NNF_transformation,[status(thm)],[f97]) ).

fof(f416,plain,
    ? [U] :
      ( ? [V] :
          ( ? [W] :
              ( ( nil != U
                | nil != V )
              & ? [X] :
                  ( ? [Z] :
                      ( ? [X1] :
                          ( app(X1,Z) = W
                          & app(Z,X1) = X
                          & ssList(X1) )
                      & ssList(Z) )
                  & ! [Y] :
                      ( ~ segmentP(U,Y)
                      | ~ segmentP(V,Y)
                      | ~ neq(Y,nil)
                      | ~ ssList(Y) )
                  & U = W
                  & V = X
                  & ssList(X) )
              & ssList(W) )
          & ssList(V) )
      & ssList(U) ),
    inference(miniscoping,[status(thm)],[f415]) ).

fof(f417,plain,
    ( ( nil != sK47_skl
      | nil != sK48_skl )
    & app(sK52_skl,sK51_skl) = sK49_skl
    & app(sK51_skl,sK52_skl) = sK50_skl
    & ssList(sK52_skl)
    & ssList(sK51_skl)
    & ! [Y] :
        ( ~ segmentP(sK47_skl,Y)
        | ~ segmentP(sK48_skl,Y)
        | ~ neq(Y,nil)
        | ~ ssList(Y) )
    & sK47_skl = sK49_skl
    & sK48_skl = sK50_skl
    & ssList(sK50_skl)
    & ssList(sK49_skl)
    & ssList(sK48_skl)
    & ssList(sK47_skl) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK47_skl,sK48_skl,sK49_skl,sK50_skl,sK51_skl,sK52_skl]),skolemize(U,sK47_skl),skolemize(V,sK48_skl),skolemize(W,sK49_skl),skolemize(X,sK50_skl),skolemize(Z,sK51_skl),skolemize(X1,sK52_skl)],[f416]) ).

fof(f418,plain,
    ssList(sK47_skl),
    inference(cnf_transformation,[status(thm)],[f417]) ).

fof(f419,plain,
    ssList(sK48_skl),
    inference(cnf_transformation,[status(thm)],[f417]) ).

fof(f422,plain,
    sK48_skl = sK50_skl,
    inference(cnf_transformation,[status(thm)],[f417]) ).

fof(f423,plain,
    sK47_skl = sK49_skl,
    inference(cnf_transformation,[status(thm)],[f417]) ).

fof(f424,plain,
    ! [X0] :
      ( ~ segmentP(sK47_skl,X0)
      | ~ segmentP(sK48_skl,X0)
      | ~ neq(X0,nil)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[status(thm)],[f417]) ).

fof(f425,plain,
    ssList(sK51_skl),
    inference(cnf_transformation,[status(thm)],[f417]) ).

fof(f426,plain,
    ssList(sK52_skl),
    inference(cnf_transformation,[status(thm)],[f417]) ).

fof(f427,plain,
    app(sK51_skl,sK52_skl) = sK50_skl,
    inference(cnf_transformation,[status(thm)],[f417]) ).

fof(f428,plain,
    app(sK52_skl,sK51_skl) = sK49_skl,
    inference(cnf_transformation,[status(thm)],[f417]) ).

fof(f429,plain,
    ( nil != sK47_skl
    | nil != sK48_skl ),
    inference(cnf_transformation,[status(thm)],[f417]) ).

fof(f436,plain,
    ! [X0,X1,X2] :
      ( ~ ssList(X2)
      | ~ ssList(X0)
      | segmentP(app(app(X0,X1),X2),X1)
      | ~ ssList(X1)
      | ~ ssList(app(app(X0,X1),X2)) ),
    inference(destructive_equality_resolution,[status(thm)],[f137]) ).

fof(f464,plain,
    app(sK51_skl,sK52_skl) = sK48_skl,
    inference(forward_demodulation,[status(thm)],[f422,f427]) ).

fof(f465,plain,
    app(sK52_skl,sK51_skl) = sK47_skl,
    inference(forward_demodulation,[status(thm)],[f423,f428]) ).

fof(f467,plain,
    app(nil,sK52_skl) = sK52_skl,
    inference(resolution,[status(thm)],[f249,f426]) ).

fof(f468,plain,
    app(nil,sK51_skl) = sK51_skl,
    inference(resolution,[status(thm)],[f249,f425]) ).

fof(f471,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ~ ssList(nil)
      | segmentP(app(app(nil,sK51_skl),X0),sK51_skl)
      | ~ ssList(sK51_skl)
      | ~ ssList(app(sK51_skl,X0)) ),
    inference(paramodulation,[status(thm)],[f468,f436]) ).

fof(f472,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ~ ssList(nil)
      | segmentP(app(app(nil,sK52_skl),X0),sK52_skl)
      | ~ ssList(sK52_skl)
      | ~ ssList(app(sK52_skl,X0)) ),
    inference(paramodulation,[status(thm)],[f467,f436]) ).

fof(f474,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ~ ssList(sK52_skl)
      | segmentP(app(app(sK52_skl,sK51_skl),X0),sK51_skl)
      | ~ ssList(sK51_skl)
      | ~ ssList(app(sK47_skl,X0)) ),
    inference(paramodulation,[status(thm)],[f465,f436]) ).

fof(f476,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ~ ssList(nil)
      | segmentP(app(sK51_skl,X0),sK51_skl)
      | ~ ssList(sK51_skl)
      | ~ ssList(app(sK51_skl,X0)) ),
    inference(forward_demodulation,[status(thm)],[f468,f471]) ).

fof(f477,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ~ ssList(nil)
      | segmentP(app(sK51_skl,X0),sK51_skl)
      | ~ ssList(sK51_skl) ),
    inference(forward_subsumption_resolution,[status(thm)],[f476,f245]) ).

fof(f478,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ~ ssList(nil)
      | segmentP(app(sK52_skl,X0),sK52_skl)
      | ~ ssList(sK52_skl)
      | ~ ssList(app(sK52_skl,X0)) ),
    inference(forward_demodulation,[status(thm)],[f467,f472]) ).

fof(f479,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ~ ssList(nil)
      | segmentP(app(sK52_skl,X0),sK52_skl)
      | ~ ssList(sK52_skl) ),
    inference(forward_subsumption_resolution,[status(thm)],[f478,f245]) ).

fof(f482,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ~ ssList(sK52_skl)
      | segmentP(app(sK47_skl,X0),sK51_skl)
      | ~ ssList(sK51_skl)
      | ~ ssList(app(sK47_skl,X0)) ),
    inference(forward_demodulation,[status(thm)],[f465,f474]) ).

fof(f483,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ~ ssList(sK52_skl)
      | segmentP(app(sK47_skl,X0),sK51_skl)
      | ~ ssList(app(sK47_skl,X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f482,f425]) ).

fof(f496,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | segmentP(app(sK51_skl,X0),sK51_skl)
      | ~ ssList(sK51_skl) ),
    inference(resolution,[status(thm)],[f477,f223]) ).

fof(f497,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | segmentP(app(sK51_skl,X0),sK51_skl) ),
    inference(forward_subsumption_resolution,[status(thm)],[f496,f425]) ).

fof(f498,plain,
    ( ~ ssList(sK52_skl)
    | segmentP(sK48_skl,sK51_skl) ),
    inference(paramodulation,[status(thm)],[f464,f497]) ).

fof(f499,plain,
    segmentP(sK48_skl,sK51_skl),
    inference(forward_subsumption_resolution,[status(thm)],[f498,f426]) ).

fof(f500,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | segmentP(app(sK52_skl,X0),sK52_skl)
      | ~ ssList(sK52_skl) ),
    inference(resolution,[status(thm)],[f479,f223]) ).

fof(f501,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | segmentP(app(sK52_skl,X0),sK52_skl) ),
    inference(forward_subsumption_resolution,[status(thm)],[f500,f426]) ).

fof(f503,plain,
    app(sK52_skl,nil) = sK52_skl,
    inference(resolution,[status(thm)],[f389,f426]) ).

fof(f506,plain,
    app(sK47_skl,nil) = sK47_skl,
    inference(resolution,[status(thm)],[f389,f418]) ).

fof(f515,plain,
    ( ~ ssList(nil)
    | ~ ssList(sK52_skl)
    | segmentP(sK47_skl,sK51_skl)
    | ~ ssList(app(sK47_skl,nil)) ),
    inference(paramodulation,[status(thm)],[f506,f483]) ).

fof(f517,plain,
    ( ~ ssList(nil)
    | ~ ssList(sK52_skl)
    | segmentP(sK47_skl,sK51_skl)
    | ~ ssList(sK47_skl) ),
    inference(forward_demodulation,[status(thm)],[f506,f515]) ).

fof(f518,plain,
    ( ~ ssList(nil)
    | ~ ssList(sK52_skl)
    | segmentP(sK47_skl,sK51_skl) ),
    inference(forward_subsumption_resolution,[status(thm)],[f517,f418]) ).

fof(f528,plain,
    ! [X0] :
      ( ~ segmentP(sK47_skl,X0)
      | ~ segmentP(sK48_skl,X0)
      | ~ ssList(X0)
      | X0 = nil
      | ~ ssList(nil)
      | ~ ssList(X0) ),
    inference(resolution,[status(thm)],[f220,f424]) ).

fof(f530,plain,
    ! [X0] :
      ( ~ segmentP(sK47_skl,X0)
      | ~ segmentP(sK48_skl,X0)
      | X0 = nil
      | ~ ssList(nil)
      | ~ ssList(X0) ),
    inference(duplicate_literals_removal,[status(thm)],[f528]) ).

fof(f531,plain,
    ! [X0] :
      ( ~ segmentP(sK47_skl,X0)
      | ~ segmentP(sK48_skl,X0)
      | X0 = nil
      | ~ ssList(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f530,f223]) ).

fof(f603,plain,
    ( ~ ssList(sK51_skl)
    | segmentP(sK47_skl,sK52_skl) ),
    inference(paramodulation,[status(thm)],[f465,f501]) ).

fof(f605,plain,
    segmentP(sK47_skl,sK52_skl),
    inference(forward_subsumption_resolution,[status(thm)],[f603,f425]) ).

fof(f881,plain,
    ( ~ segmentP(sK47_skl,sK51_skl)
    | sK51_skl = nil
    | ~ ssList(sK51_skl) ),
    inference(resolution,[status(thm)],[f531,f499]) ).

fof(f884,plain,
    ( ~ ssList(sK48_skl)
    | ~ segmentP(sK47_skl,sK48_skl)
    | sK48_skl = nil
    | ~ ssList(sK48_skl) ),
    inference(resolution,[status(thm)],[f531,f319]) ).

fof(f885,plain,
    ( ~ segmentP(sK47_skl,sK51_skl)
    | sK51_skl = nil ),
    inference(forward_subsumption_resolution,[status(thm)],[f881,f425]) ).

fof(f888,plain,
    ( ~ segmentP(sK47_skl,sK48_skl)
    | sK48_skl = nil
    | ~ ssList(sK48_skl) ),
    inference(duplicate_literals_removal,[status(thm)],[f884]) ).

fof(f889,plain,
    ( ~ segmentP(sK47_skl,sK48_skl)
    | sK48_skl = nil ),
    inference(forward_subsumption_resolution,[status(thm)],[f888,f419]) ).

fof(f890,plain,
    ( ~ ssList(nil)
    | ~ ssList(sK52_skl)
    | sK51_skl = nil ),
    inference(resolution,[status(thm)],[f885,f518]) ).

fof(f892,plain,
    ( ~ ssList(nil)
    | sK51_skl = nil ),
    inference(forward_subsumption_resolution,[status(thm)],[f890,f426]) ).

fof(f894,plain,
    sK51_skl = nil,
    inference(resolution,[status(thm)],[f892,f223]) ).

fof(f919,plain,
    app(sK52_skl,sK51_skl) = sK52_skl,
    inference(backward_demodulation,[status(thm)],[f894,f503]) ).

fof(f932,plain,
    app(sK51_skl,sK52_skl) = sK52_skl,
    inference(backward_demodulation,[status(thm)],[f894,f467]) ).

fof(f935,plain,
    ( sK51_skl != sK47_skl
    | nil != sK48_skl ),
    inference(backward_demodulation,[status(thm)],[f894,f429]) ).

fof(f940,plain,
    ( ~ segmentP(sK47_skl,sK48_skl)
    | sK48_skl = sK51_skl ),
    inference(backward_demodulation,[status(thm)],[f894,f889]) ).

fof(f1079,plain,
    segmentP(sK47_skl,sK47_skl),
    inference(backward_demodulation,[status(thm)],[f1133,f605]) ).

fof(f1133,plain,
    sK47_skl = sK52_skl,
    inference(forward_demodulation,[status(thm)],[f465,f919]) ).

fof(f1134,plain,
    sK48_skl = sK52_skl,
    inference(forward_demodulation,[status(thm)],[f464,f932]) ).

fof(f1145,plain,
    sK48_skl = sK47_skl,
    inference(forward_demodulation,[status(thm)],[f1133,f1134]) ).

fof(f1147,plain,
    ( sK51_skl != sK47_skl
    | sK51_skl != sK48_skl ),
    inference(forward_demodulation,[status(thm)],[f894,f935]) ).

fof(f1148,plain,
    ( sK51_skl != sK47_skl
    | sK51_skl != sK47_skl ),
    inference(forward_demodulation,[status(thm)],[f1145,f1147]) ).

fof(f1149,plain,
    sK51_skl != sK47_skl,
    inference(duplicate_literals_removal,[status(thm)],[f1148]) ).

fof(f1152,plain,
    ( ~ segmentP(sK47_skl,sK48_skl)
    | sK47_skl = sK51_skl ),
    inference(forward_demodulation,[status(thm)],[f1145,f940]) ).

fof(f1153,plain,
    ( ~ segmentP(sK47_skl,sK47_skl)
    | sK47_skl = sK51_skl ),
    inference(forward_demodulation,[status(thm)],[f1145,f1152]) ).

fof(f1154,plain,
    ~ segmentP(sK47_skl,sK47_skl),
    inference(forward_subsumption_resolution,[status(thm)],[f1153,f1149]) ).

fof(f1312,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f1079,f1154]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : SWC075+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05  % Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.38  % Computer : n001.cluster.edu
% 0.12/0.38  % Model    : x86_64 x86_64
% 0.12/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38  % Memory   : 8046.5625MB
% 0.12/0.38  % OS       : Linux 6.8.0-71-generic
% 0.12/0.39  % CPULimit : 300
% 0.12/0.39  % WCLimit  : 300
% 0.12/0.39  % DateTime : Mon Sep 21 07:59:00 UTC 2026
% 0.12/0.39  % CPUTime  : 
% 0.17/0.41  % Drodi V4.1.1
% 9.46/1.71  % Refutation found
% 9.46/1.71  % SZS status Theorem for theBenchmark: Theorem is valid
% 9.46/1.71  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 6.19/1.76  % Elapsed time: 1.347182 seconds
% 6.19/1.76  % CPU time: 10.311665 seconds
% 6.19/1.76  % Total memory used: 167.972 MB
% 6.19/1.76  % Net memory used: 162.417 MB
%------------------------------------------------------------------------------