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Drodi---4.1.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : SWC110+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n020.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 02:40:01 PM UTC 2026

% Result   : Theorem 140.58s 18.16s
% Output   : CNFRefutation 140.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   30
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   86 (  23 unt;   1 def)
%            Number of atoms       :  342 ( 119 equ)
%            Maximal formula atoms :   21 (   3 avg)
%            Number of connectives :  407 ( 151   ~; 149   |;  83   &)
%                                         (   7 <=>;  17  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   24 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   6 con; 0-2 aty)
%            Number of variables   :  107 (  80   !;  27   ?)

% 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/sandbox/benchmark/theBenchmark.p') ).

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

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

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

fof(f83,axiom,
    ! [U] :
      ( ssList(U)
     => ! [V] :
          ( ssList(V)
         => ( nil = app(U,V)
          <=> ( nil = U
              & nil = V ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f96,conjecture,
    ! [U] :
      ( ssList(U)
     => ! [V] :
          ( ssList(V)
         => ! [W] :
              ( ssList(W)
             => ! [X] :
                  ( ssList(X)
                 => ( ( ( ( segmentP(V,U)
                          & neq(U,nil) )
                        | ~ neq(V,nil) )
                      & ( nil = U
                        | nil != V ) )
                    | ( nil = W
                      & nil != X )
                    | ! [Y] :
                        ( ssList(Y)
                       => ( ? [Z] :
                              ( ? [X1] :
                                  ( ? [X2] :
                                      ( app(X2,cons(Z,nil)) = W
                                      & ssList(X2) )
                                  & app(cons(Z,nil),X1) = Y
                                  & ssList(X1) )
                              & ssItem(Z) )
                          | ~ equalelemsP(W)
                          | app(W,Y) != X ) )
                    | U != W
                    | V != X ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f97,negated_conjecture,
    ~ ! [U] :
        ( ssList(U)
       => ! [V] :
            ( ssList(V)
           => ! [W] :
                ( ssList(W)
               => ! [X] :
                    ( ssList(X)
                   => ( ( ( ( segmentP(V,U)
                            & neq(U,nil) )
                          | ~ neq(V,nil) )
                        & ( nil = U
                          | nil != V ) )
                      | ( nil = W
                        & nil != X )
                      | ! [Y] :
                          ( ssList(Y)
                         => ( ? [Z] :
                                ( ? [X1] :
                                    ( ? [X2] :
                                        ( app(X2,cons(Z,nil)) = W
                                        & ssList(X2) )
                                    & app(cons(Z,nil),X1) = Y
                                    & ssList(X1) )
                                & ssItem(Z) )
                            | ~ equalelemsP(W)
                            | app(W,Y) != X ) )
                      | U != W
                      | V != 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(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(f383,plain,
    ! [U] :
      ( ! [V] :
          ( ( nil = app(U,V)
          <=> ( nil = U
              & nil = V ) )
          | ~ ssList(V) )
      | ~ ssList(U) ),
    inference(pre_NNF_transformation,[status(thm)],[f83]) ).

fof(f384,plain,
    ! [U] :
      ( ! [V] :
          ( ( ( nil != U
              | nil != V
              | nil = app(U,V) )
            & ( ( nil = U
                & nil = V )
              | nil != app(U,V) ) )
          | ~ ssList(V) )
      | ~ ssList(U) ),
    inference(NNF_transformation,[status(thm)],[f383]) ).

fof(f386,plain,
    ! [X0,X1] :
      ( nil = X0
      | nil != app(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[status(thm)],[f384]) ).

fof(f415,plain,
    ? [U] :
      ( ? [V] :
          ( ? [W] :
              ( ? [X] :
                  ( ( ( ( ~ segmentP(V,U)
                        | ~ neq(U,nil) )
                      & neq(V,nil) )
                    | ( nil != U
                      & nil = V ) )
                  & ( nil != W
                    | nil = X )
                  & ? [Y] :
                      ( ! [Z] :
                          ( ! [X1] :
                              ( ! [X2] :
                                  ( app(X2,cons(Z,nil)) != W
                                  | ~ ssList(X2) )
                              | app(cons(Z,nil),X1) != Y
                              | ~ ssList(X1) )
                          | ~ ssItem(Z) )
                      & equalelemsP(W)
                      & app(W,Y) = X
                      & ssList(Y) )
                  & U = W
                  & V = X
                  & ssList(X) )
              & ssList(W) )
          & ssList(V) )
      & ssList(U) ),
    inference(pre_NNF_transformation,[status(thm)],[f97]) ).

fof(f416,definition,
    ! [U,V] :
      ( sP0_prd(V,U)
    <=> ( nil != U
        & nil = V ) ),
    introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).

fof(f417,plain,
    ? [U] :
      ( ? [V] :
          ( ? [W] :
              ( ? [X] :
                  ( ( ( ( ~ segmentP(V,U)
                        | ~ neq(U,nil) )
                      & neq(V,nil) )
                    | sP0_prd(V,U) )
                  & ( nil != W
                    | nil = X )
                  & ? [Y] :
                      ( ! [Z] :
                          ( ! [X1] :
                              ( ! [X2] :
                                  ( app(X2,cons(Z,nil)) != W
                                  | ~ ssList(X2) )
                              | app(cons(Z,nil),X1) != Y
                              | ~ ssList(X1) )
                          | ~ ssItem(Z) )
                      & equalelemsP(W)
                      & app(W,Y) = X
                      & ssList(Y) )
                  & U = W
                  & V = X
                  & ssList(X) )
              & ssList(W) )
          & ssList(V) )
      & ssList(U) ),
    inference(formula_renaming,[status(thm)],[f415,f416]) ).

fof(f418,plain,
    ? [U] :
      ( ? [V] :
          ( ? [W] :
              ( ? [X] :
                  ( ( ( ( ~ segmentP(V,U)
                        | ~ neq(U,nil) )
                      & neq(V,nil) )
                    | sP0_prd(V,U) )
                  & ( nil != W
                    | nil = X )
                  & ? [Y] :
                      ( ! [Z] :
                          ( ! [X2] :
                              ( app(X2,cons(Z,nil)) != W
                              | ~ ssList(X2) )
                          | ! [X1] :
                              ( app(cons(Z,nil),X1) != Y
                              | ~ ssList(X1) )
                          | ~ ssItem(Z) )
                      & equalelemsP(W)
                      & app(W,Y) = X
                      & ssList(Y) )
                  & U = W
                  & V = X
                  & ssList(X) )
              & ssList(W) )
          & ssList(V) )
      & ssList(U) ),
    inference(miniscoping,[status(thm)],[f417]) ).

fof(f419,plain,
    ( ( ( ( ~ segmentP(sK48_skl,sK47_skl)
          | ~ neq(sK47_skl,nil) )
        & neq(sK48_skl,nil) )
      | sP0_prd(sK48_skl,sK47_skl) )
    & ( nil != sK49_skl
      | nil = sK50_skl )
    & ! [Z] :
        ( ! [X2] :
            ( app(X2,cons(Z,nil)) != sK49_skl
            | ~ ssList(X2) )
        | ! [X1] :
            ( app(cons(Z,nil),X1) != sK51_skl
            | ~ ssList(X1) )
        | ~ ssItem(Z) )
    & equalelemsP(sK49_skl)
    & app(sK49_skl,sK51_skl) = sK50_skl
    & ssList(sK51_skl)
    & 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]),skolemize(U,sK47_skl),skolemize(V,sK48_skl),skolemize(W,sK49_skl),skolemize(X,sK50_skl),skolemize(Y,sK51_skl)],[f418]) ).

fof(f420,plain,
    ssList(sK47_skl),
    inference(cnf_transformation,[status(thm)],[f419]) ).

fof(f423,plain,
    ssList(sK50_skl),
    inference(cnf_transformation,[status(thm)],[f419]) ).

fof(f424,plain,
    sK48_skl = sK50_skl,
    inference(cnf_transformation,[status(thm)],[f419]) ).

fof(f425,plain,
    sK47_skl = sK49_skl,
    inference(cnf_transformation,[status(thm)],[f419]) ).

fof(f426,plain,
    ssList(sK51_skl),
    inference(cnf_transformation,[status(thm)],[f419]) ).

fof(f427,plain,
    app(sK49_skl,sK51_skl) = sK50_skl,
    inference(cnf_transformation,[status(thm)],[f419]) ).

fof(f430,plain,
    ( nil != sK49_skl
    | nil = sK50_skl ),
    inference(cnf_transformation,[status(thm)],[f419]) ).

fof(f431,plain,
    ( neq(sK48_skl,nil)
    | sP0_prd(sK48_skl,sK47_skl) ),
    inference(cnf_transformation,[status(thm)],[f419]) ).

fof(f432,plain,
    ( ~ segmentP(sK48_skl,sK47_skl)
    | ~ neq(sK47_skl,nil)
    | sP0_prd(sK48_skl,sK47_skl) ),
    inference(cnf_transformation,[status(thm)],[f419]) ).

fof(f433,plain,
    ! [U,V] :
      ( ( nil = U
        | nil != V
        | sP0_prd(V,U) )
      & ( ( nil != U
          & nil = V )
        | ~ sP0_prd(V,U) ) ),
    inference(NNF_transformation,[status(thm)],[f416]) ).

fof(f434,plain,
    ( ! [U,V] :
        ( nil = U
        | nil != V
        | sP0_prd(V,U) )
    & ! [U,V] :
        ( ( nil != U
          & nil = V )
        | ~ sP0_prd(V,U) ) ),
    inference(miniscoping,[status(thm)],[f433]) ).

fof(f435,plain,
    ! [X0,X1] :
      ( nil = X0
      | ~ sP0_prd(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f434]) ).

fof(f436,plain,
    ! [X0,X1] :
      ( nil != X1
      | ~ sP0_prd(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f434]) ).

fof(f444,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(f468,plain,
    ! [X0] : ~ sP0_prd(X0,nil),
    inference(destructive_equality_resolution,[status(thm)],[f436]) ).

fof(f476,plain,
    app(sK47_skl,sK51_skl) = sK50_skl,
    inference(forward_demodulation,[status(thm)],[f425,f427]) ).

fof(f481,plain,
    ( nil != sK47_skl
    | nil = sK50_skl ),
    inference(forward_demodulation,[status(thm)],[f425,f430]) ).

fof(f487,plain,
    app(nil,sK51_skl) = sK51_skl,
    inference(resolution,[status(thm)],[f249,f426]) ).

fof(f492,plain,
    app(nil,sK47_skl) = sK47_skl,
    inference(resolution,[status(thm)],[f249,f420]) ).

fof(f509,plain,
    ( neq(sK48_skl,nil)
    | sP0_prd(sK50_skl,sK47_skl) ),
    inference(forward_demodulation,[status(thm)],[f424,f431]) ).

fof(f510,plain,
    ( neq(sK50_skl,nil)
    | sP0_prd(sK50_skl,sK47_skl) ),
    inference(forward_demodulation,[status(thm)],[f424,f509]) ).

fof(f514,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ~ ssList(nil)
      | segmentP(app(app(nil,sK47_skl),X0),sK47_skl)
      | ~ ssList(sK47_skl)
      | ~ ssList(app(sK47_skl,X0)) ),
    inference(paramodulation,[status(thm)],[f492,f444]) ).

fof(f515,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ~ ssList(nil)
      | segmentP(app(sK47_skl,X0),sK47_skl)
      | ~ ssList(sK47_skl)
      | ~ ssList(app(sK47_skl,X0)) ),
    inference(forward_demodulation,[status(thm)],[f492,f514]) ).

fof(f516,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ~ ssList(nil)
      | segmentP(app(sK47_skl,X0),sK47_skl)
      | ~ ssList(app(sK47_skl,X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f515,f420]) ).

fof(f580,plain,
    ( ~ segmentP(sK48_skl,sK47_skl)
    | ~ neq(sK47_skl,nil)
    | sP0_prd(sK50_skl,sK47_skl) ),
    inference(forward_demodulation,[status(thm)],[f424,f432]) ).

fof(f581,plain,
    ( ~ segmentP(sK50_skl,sK47_skl)
    | ~ neq(sK47_skl,nil)
    | sP0_prd(sK50_skl,sK47_skl) ),
    inference(forward_demodulation,[status(thm)],[f424,f580]) ).

fof(f1170,plain,
    ! [X0] :
      ( nil = X0
      | nil != app(X0,sK51_skl)
      | ~ ssList(X0) ),
    inference(resolution,[status(thm)],[f386,f426]) ).

fof(f2282,plain,
    ( nil = sK47_skl
    | nil != app(sK47_skl,sK51_skl) ),
    inference(resolution,[status(thm)],[f1170,f420]) ).

fof(f2284,plain,
    ( nil = sK47_skl
    | nil != sK50_skl ),
    inference(forward_demodulation,[status(thm)],[f476,f2282]) ).

fof(f28221,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | segmentP(app(sK47_skl,X0),sK47_skl)
      | ~ ssList(app(sK47_skl,X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f516,f223]) ).

fof(f28230,plain,
    ( ~ ssList(sK51_skl)
    | segmentP(sK50_skl,sK47_skl)
    | ~ ssList(app(sK47_skl,sK51_skl)) ),
    inference(paramodulation,[status(thm)],[f476,f28221]) ).

fof(f28245,plain,
    ( ~ ssList(sK51_skl)
    | segmentP(sK50_skl,sK47_skl)
    | ~ ssList(sK50_skl) ),
    inference(forward_demodulation,[status(thm)],[f476,f28230]) ).

fof(f28246,plain,
    ( ~ ssList(sK51_skl)
    | segmentP(sK50_skl,sK47_skl) ),
    inference(forward_subsumption_resolution,[status(thm)],[f28245,f423]) ).

fof(f28247,plain,
    ( ~ neq(sK47_skl,nil)
    | sP0_prd(sK50_skl,sK47_skl) ),
    inference(backward_subsumption_resolution,[status(thm)],[f581,f28248]) ).

fof(f28248,plain,
    segmentP(sK50_skl,sK47_skl),
    inference(forward_subsumption_resolution,[status(thm)],[f28246,f426]) ).

fof(f28261,plain,
    ( nil = sK50_skl
    | ~ neq(sK47_skl,nil) ),
    inference(resolution,[status(thm)],[f28247,f435]) ).

fof(f28262,plain,
    ( sK47_skl = nil
    | ~ ssList(nil)
    | ~ ssList(sK47_skl)
    | nil = sK50_skl ),
    inference(resolution,[status(thm)],[f28261,f220]) ).

fof(f28263,plain,
    ( sK47_skl = nil
    | ~ ssList(nil)
    | ~ ssList(sK47_skl) ),
    inference(forward_subsumption_resolution,[status(thm)],[f28262,f2284]) ).

fof(f28801,plain,
    ( sK47_skl = nil
    | ~ ssList(nil) ),
    inference(forward_subsumption_resolution,[status(thm)],[f28263,f420]) ).

fof(f28802,plain,
    sK47_skl = nil,
    inference(resolution,[status(thm)],[f28801,f223]) ).

fof(f28805,plain,
    ( ~ neq(sK47_skl,sK47_skl)
    | sP0_prd(sK50_skl,sK47_skl) ),
    inference(backward_demodulation,[status(thm)],[f28802,f28247]) ).

fof(f29237,plain,
    ( neq(sK50_skl,sK47_skl)
    | sP0_prd(sK50_skl,sK47_skl) ),
    inference(backward_demodulation,[status(thm)],[f28802,f510]) ).

fof(f29239,plain,
    app(sK47_skl,sK51_skl) = sK51_skl,
    inference(backward_demodulation,[status(thm)],[f28802,f487]) ).

fof(f29245,plain,
    ( sK47_skl != sK47_skl
    | nil = sK50_skl ),
    inference(backward_demodulation,[status(thm)],[f28802,f481]) ).

fof(f29252,plain,
    ! [X0] : ~ sP0_prd(X0,sK47_skl),
    inference(backward_demodulation,[status(thm)],[f28802,f468]) ).

fof(f29421,plain,
    sK50_skl = sK51_skl,
    inference(forward_demodulation,[status(thm)],[f476,f29239]) ).

fof(f29424,plain,
    ( sK47_skl != sK47_skl
    | sK47_skl = sK50_skl ),
    inference(forward_demodulation,[status(thm)],[f28802,f29245]) ).

fof(f29425,plain,
    sK47_skl = sK50_skl,
    inference(trivial_equality_resolution,[status(thm)],[f29424]) ).

fof(f29620,plain,
    sK47_skl = sK51_skl,
    inference(forward_demodulation,[status(thm)],[f29421,f29425]) ).

fof(f29665,plain,
    ( ~ neq(sK47_skl,sK47_skl)
    | sP0_prd(sK51_skl,sK47_skl) ),
    inference(forward_demodulation,[status(thm)],[f29421,f28805]) ).

fof(f29666,plain,
    ( ~ neq(sK47_skl,sK47_skl)
    | sP0_prd(sK51_skl,sK51_skl) ),
    inference(forward_demodulation,[status(thm)],[f29620,f29665]) ).

fof(f29667,plain,
    ( ~ neq(sK51_skl,sK47_skl)
    | sP0_prd(sK51_skl,sK51_skl) ),
    inference(forward_demodulation,[status(thm)],[f29620,f29666]) ).

fof(f29668,plain,
    ( ~ neq(sK51_skl,sK51_skl)
    | sP0_prd(sK51_skl,sK51_skl) ),
    inference(forward_demodulation,[status(thm)],[f29620,f29667]) ).

fof(f29723,plain,
    ~ neq(sK51_skl,sK51_skl),
    inference(backward_subsumption_resolution,[status(thm)],[f29668,f29724]) ).

fof(f29724,plain,
    ! [X0] : ~ sP0_prd(X0,sK51_skl),
    inference(forward_demodulation,[status(thm)],[f29620,f29252]) ).

fof(f30297,plain,
    ( neq(sK50_skl,sK47_skl)
    | sP0_prd(sK51_skl,sK47_skl) ),
    inference(forward_demodulation,[status(thm)],[f29421,f29237]) ).

fof(f30298,plain,
    ( neq(sK50_skl,sK47_skl)
    | sP0_prd(sK51_skl,sK51_skl) ),
    inference(forward_demodulation,[status(thm)],[f29620,f30297]) ).

fof(f30299,plain,
    ( neq(sK51_skl,sK47_skl)
    | sP0_prd(sK51_skl,sK51_skl) ),
    inference(forward_demodulation,[status(thm)],[f29421,f30298]) ).

fof(f30300,plain,
    ( neq(sK51_skl,sK51_skl)
    | sP0_prd(sK51_skl,sK51_skl) ),
    inference(forward_demodulation,[status(thm)],[f29620,f30299]) ).

fof(f30302,plain,
    neq(sK51_skl,sK51_skl),
    inference(forward_subsumption_resolution,[status(thm)],[f30300,f29724]) ).

fof(f30303,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[f29723,f30302]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWC110+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35  % Computer : n020.cluster.edu
% 0.08/0.35  % Model    : x86_64 x86_64
% 0.08/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35  % Memory   : 8046.5625MB
% 0.08/0.35  % OS       : Linux 6.8.0-71-generic
% 0.08/0.35  % CPULimit : 300
% 0.08/0.35  % WCLimit  : 300
% 0.08/0.35  % DateTime : Mon Sep 21 07:56:48 UTC 2026
% 0.08/0.35  % CPUTime  : 
% 0.08/0.36  % Drodi V4.1.1
% 140.58/18.16  % Refutation found
% 140.58/18.16  % SZS status Theorem for theBenchmark: Theorem is valid
% 140.58/18.16  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 13.67/18.22  % Elapsed time: 17.852827 seconds
% 13.67/18.22  % CPU time: 141.332908 seconds
% 13.67/18.22  % Total memory used: 462.189 MB
% 13.67/18.22  % Net memory used: 431.537 MB
%------------------------------------------------------------------------------