TSTP Solution File: SWC384+1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SWC384+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n015.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Apr 30 20:45:35 EDT 2024

% Result   : Theorem 0.13s 0.37s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   96 (  11 unt;   0 def)
%            Number of atoms       :  371 (  61 equ)
%            Maximal formula atoms :   22 (   3 avg)
%            Number of connectives :  440 ( 165   ~; 158   |;  80   &)
%                                         (  17 <=>;  20  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   27 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   21 (  19 usr;  12 prp; 0-3 aty)
%            Number of functors    :   13 (  13 usr;   6 con; 0-3 aty)
%            Number of variables   :  113 (  84   !;  29   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f4,axiom,
    ! [U] :
      ( ssList(U)
     => ( singletonP(U)
      <=> ? [V] :
            ( ssItem(V)
            & cons(V,nil) = U ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f7,axiom,
    ! [U] :
      ( ssList(U)
     => ! [V] :
          ( ssList(V)
         => ( segmentP(U,V)
          <=> ? [W] :
                ( ssList(W)
                & ? [X] :
                    ( ssList(X)
                    & app(app(W,V),X) = U ) ) ) ) ),
    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(f96,conjecture,
    ! [U] :
      ( ssList(U)
     => ! [V] :
          ( ssList(V)
         => ! [W] :
              ( ssList(W)
             => ! [X] :
                  ( ssList(X)
                 => ( V != X
                    | U != W
                    | ~ neq(V,nil)
                    | ( ! [Y] :
                          ( ssItem(Y)
                         => ! [Z] :
                              ( ssList(Z)
                             => ! [X1] :
                                  ( ssList(X1)
                                 => ( cons(Y,nil) != W
                                    | app(app(Z,W),X1) != X
                                    | ? [X2] :
                                        ( ssItem(X2)
                                        & memberP(Z,X2)
                                        & lt(Y,X2) )
                                    | ? [X3] :
                                        ( ssItem(X3)
                                        & memberP(X1,X3)
                                        & lt(X3,Y) ) ) ) ) )
                      & ( nil != X
                        | nil != W ) )
                    | ( singletonP(U)
                      & segmentP(V,U) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f97,negated_conjecture,
    ~ ! [U] :
        ( ssList(U)
       => ! [V] :
            ( ssList(V)
           => ! [W] :
                ( ssList(W)
               => ! [X] :
                    ( ssList(X)
                   => ( V != X
                      | U != W
                      | ~ neq(V,nil)
                      | ( ! [Y] :
                            ( ssItem(Y)
                           => ! [Z] :
                                ( ssList(Z)
                               => ! [X1] :
                                    ( ssList(X1)
                                   => ( cons(Y,nil) != W
                                      | app(app(Z,W),X1) != X
                                      | ? [X2] :
                                          ( ssItem(X2)
                                          & memberP(Z,X2)
                                          & lt(Y,X2) )
                                      | ? [X3] :
                                          ( ssItem(X3)
                                          & memberP(X1,X3)
                                          & lt(X3,Y) ) ) ) ) )
                        & ( nil != X
                          | nil != W ) )
                      | ( singletonP(U)
                        & segmentP(V,U) ) ) ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f96]) ).

fof(f113,plain,
    ! [U] :
      ( ~ ssList(U)
      | ( singletonP(U)
      <=> ? [V] :
            ( ssItem(V)
            & cons(V,nil) = U ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f4]) ).

fof(f114,plain,
    ! [U] :
      ( ~ ssList(U)
      | ( ( ~ singletonP(U)
          | ? [V] :
              ( ssItem(V)
              & cons(V,nil) = U ) )
        & ( singletonP(U)
          | ! [V] :
              ( ~ ssItem(V)
              | cons(V,nil) != U ) ) ) ),
    inference(NNF_transformation,[status(esa)],[f113]) ).

fof(f115,plain,
    ! [U] :
      ( ~ ssList(U)
      | ( ( ~ singletonP(U)
          | ( ssItem(sk0_4(U))
            & cons(sk0_4(U),nil) = U ) )
        & ( singletonP(U)
          | ! [V] :
              ( ~ ssItem(V)
              | cons(V,nil) != U ) ) ) ),
    inference(skolemization,[status(esa)],[f114]) ).

fof(f118,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | singletonP(X0)
      | ~ ssItem(X1)
      | cons(X1,nil) != X0 ),
    inference(cnf_transformation,[status(esa)],[f115]) ).

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

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

fof(f133,plain,
    ! [U] :
      ( ~ ssList(U)
      | ! [V] :
          ( ~ ssList(V)
          | ( ( ~ segmentP(U,V)
              | ( ssList(sk0_7(V,U))
                & ssList(sk0_8(V,U))
                & app(app(sk0_7(V,U),V),sk0_8(V,U)) = U ) )
            & ( segmentP(U,V)
              | ! [W] :
                  ( ~ ssList(W)
                  | ! [X] :
                      ( ~ ssList(X)
                      | app(app(W,V),X) != U ) ) ) ) ) ),
    inference(skolemization,[status(esa)],[f132]) ).

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

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

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

fof(f219,plain,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ neq(X0,X1)
      | X0 != X1 ),
    inference(cnf_transformation,[status(esa)],[f218]) ).

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

fof(f415,plain,
    ? [U] :
      ( ssList(U)
      & ? [V] :
          ( ssList(V)
          & ? [W] :
              ( ssList(W)
              & ? [X] :
                  ( ssList(X)
                  & V = X
                  & U = W
                  & neq(V,nil)
                  & ( ? [Y] :
                        ( ssItem(Y)
                        & ? [Z] :
                            ( ssList(Z)
                            & ? [X1] :
                                ( ssList(X1)
                                & cons(Y,nil) = W
                                & app(app(Z,W),X1) = X
                                & ! [X2] :
                                    ( ~ ssItem(X2)
                                    | ~ memberP(Z,X2)
                                    | ~ lt(Y,X2) )
                                & ! [X3] :
                                    ( ~ ssItem(X3)
                                    | ~ memberP(X1,X3)
                                    | ~ lt(X3,Y) ) ) ) )
                    | ( nil = X
                      & nil = W ) )
                  & ( ~ singletonP(U)
                    | ~ segmentP(V,U) ) ) ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f97]) ).

fof(f416,plain,
    ! [W,X,Y] :
      ( pd0_0(Y,X,W)
     => ( ssItem(Y)
        & ? [Z] :
            ( ssList(Z)
            & ? [X1] :
                ( ssList(X1)
                & cons(Y,nil) = W
                & app(app(Z,W),X1) = X
                & ! [X2] :
                    ( ~ ssItem(X2)
                    | ~ memberP(Z,X2)
                    | ~ lt(Y,X2) )
                & ! [X3] :
                    ( ~ ssItem(X3)
                    | ~ memberP(X1,X3)
                    | ~ lt(X3,Y) ) ) ) ) ),
    introduced(predicate_definition,[f415]) ).

fof(f417,plain,
    ? [U] :
      ( ssList(U)
      & ? [V] :
          ( ssList(V)
          & ? [W] :
              ( ssList(W)
              & ? [X] :
                  ( ssList(X)
                  & V = X
                  & U = W
                  & neq(V,nil)
                  & ( ? [Y] : pd0_0(Y,X,W)
                    | ( nil = X
                      & nil = W ) )
                  & ( ~ singletonP(U)
                    | ~ segmentP(V,U) ) ) ) ) ),
    inference(formula_renaming,[status(thm)],[f415,f416]) ).

fof(f418,plain,
    ( ssList(sk0_47)
    & ssList(sk0_48)
    & ssList(sk0_49)
    & ssList(sk0_50)
    & sk0_48 = sk0_50
    & sk0_47 = sk0_49
    & neq(sk0_48,nil)
    & ( pd0_0(sk0_51,sk0_50,sk0_49)
      | ( nil = sk0_50
        & nil = sk0_49 ) )
    & ( ~ singletonP(sk0_47)
      | ~ segmentP(sk0_48,sk0_47) ) ),
    inference(skolemization,[status(esa)],[f417]) ).

fof(f419,plain,
    ssList(sk0_47),
    inference(cnf_transformation,[status(esa)],[f418]) ).

fof(f420,plain,
    ssList(sk0_48),
    inference(cnf_transformation,[status(esa)],[f418]) ).

fof(f423,plain,
    sk0_48 = sk0_50,
    inference(cnf_transformation,[status(esa)],[f418]) ).

fof(f424,plain,
    sk0_47 = sk0_49,
    inference(cnf_transformation,[status(esa)],[f418]) ).

fof(f425,plain,
    neq(sk0_48,nil),
    inference(cnf_transformation,[status(esa)],[f418]) ).

fof(f426,plain,
    ( pd0_0(sk0_51,sk0_50,sk0_49)
    | nil = sk0_50 ),
    inference(cnf_transformation,[status(esa)],[f418]) ).

fof(f428,plain,
    ( ~ singletonP(sk0_47)
    | ~ segmentP(sk0_48,sk0_47) ),
    inference(cnf_transformation,[status(esa)],[f418]) ).

fof(f429,plain,
    ! [W,X,Y] :
      ( ~ pd0_0(Y,X,W)
      | ( ssItem(Y)
        & ? [Z] :
            ( ssList(Z)
            & ? [X1] :
                ( ssList(X1)
                & cons(Y,nil) = W
                & app(app(Z,W),X1) = X
                & ! [X2] :
                    ( ~ ssItem(X2)
                    | ~ memberP(Z,X2)
                    | ~ lt(Y,X2) )
                & ! [X3] :
                    ( ~ ssItem(X3)
                    | ~ memberP(X1,X3)
                    | ~ lt(X3,Y) ) ) ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f416]) ).

fof(f430,plain,
    ! [W,X,Y] :
      ( ~ pd0_0(Y,X,W)
      | ( ssItem(Y)
        & ssList(sk0_52(Y,X,W))
        & ssList(sk0_53(Y,X,W))
        & cons(Y,nil) = W
        & app(app(sk0_52(Y,X,W),W),sk0_53(Y,X,W)) = X
        & ! [X2] :
            ( ~ ssItem(X2)
            | ~ memberP(sk0_52(Y,X,W),X2)
            | ~ lt(Y,X2) )
        & ! [X3] :
            ( ~ ssItem(X3)
            | ~ memberP(sk0_53(Y,X,W),X3)
            | ~ lt(X3,Y) ) ) ),
    inference(skolemization,[status(esa)],[f429]) ).

fof(f431,plain,
    ! [X0,X1,X2] :
      ( ~ pd0_0(X0,X1,X2)
      | ssItem(X0) ),
    inference(cnf_transformation,[status(esa)],[f430]) ).

fof(f432,plain,
    ! [X0,X1,X2] :
      ( ~ pd0_0(X0,X1,X2)
      | ssList(sk0_52(X0,X1,X2)) ),
    inference(cnf_transformation,[status(esa)],[f430]) ).

fof(f433,plain,
    ! [X0,X1,X2] :
      ( ~ pd0_0(X0,X1,X2)
      | ssList(sk0_53(X0,X1,X2)) ),
    inference(cnf_transformation,[status(esa)],[f430]) ).

fof(f434,plain,
    ! [X0,X1,X2] :
      ( ~ pd0_0(X0,X1,X2)
      | cons(X0,nil) = X2 ),
    inference(cnf_transformation,[status(esa)],[f430]) ).

fof(f435,plain,
    ! [X0,X1,X2] :
      ( ~ pd0_0(X0,X1,X2)
      | app(app(sk0_52(X0,X1,X2),X2),sk0_53(X0,X1,X2)) = X1 ),
    inference(cnf_transformation,[status(esa)],[f430]) ).

fof(f438,plain,
    ( spl0_0
  <=> pd0_0(sk0_51,sk0_50,sk0_49) ),
    introduced(split_symbol_definition) ).

fof(f439,plain,
    ( pd0_0(sk0_51,sk0_50,sk0_49)
    | ~ spl0_0 ),
    inference(component_clause,[status(thm)],[f438]) ).

fof(f441,plain,
    ( spl0_1
  <=> nil = sk0_50 ),
    introduced(split_symbol_definition) ).

fof(f442,plain,
    ( nil = sk0_50
    | ~ spl0_1 ),
    inference(component_clause,[status(thm)],[f441]) ).

fof(f444,plain,
    ( spl0_0
    | spl0_1 ),
    inference(split_clause,[status(thm)],[f426,f438,f441]) ).

fof(f449,plain,
    ( spl0_3
  <=> singletonP(sk0_47) ),
    introduced(split_symbol_definition) ).

fof(f452,plain,
    ( spl0_4
  <=> segmentP(sk0_48,sk0_47) ),
    introduced(split_symbol_definition) ).

fof(f454,plain,
    ( ~ segmentP(sk0_48,sk0_47)
    | spl0_4 ),
    inference(component_clause,[status(thm)],[f452]) ).

fof(f455,plain,
    ( ~ spl0_3
    | ~ spl0_4 ),
    inference(split_clause,[status(thm)],[f428,f449,f452]) ).

fof(f459,plain,
    ! [X0] :
      ( ~ ssList(cons(X0,nil))
      | singletonP(cons(X0,nil))
      | ~ ssItem(X0) ),
    inference(destructive_equality_resolution,[status(esa)],[f118]) ).

fof(f462,plain,
    ! [X0,X1,X2] :
      ( ~ ssList(app(app(X0,X1),X2))
      | ~ ssList(X1)
      | segmentP(app(app(X0,X1),X2),X1)
      | ~ ssList(X0)
      | ~ ssList(X2) ),
    inference(destructive_equality_resolution,[status(esa)],[f137]) ).

fof(f471,plain,
    ! [X1] :
      ( ~ ssList(X1)
      | ~ ssList(X1)
      | ~ neq(X1,X1) ),
    inference(destructive_equality_resolution,[status(esa)],[f219]) ).

fof(f472,plain,
    ! [X0] :
      ( ~ ssList(X0)
      | ~ neq(X0,X0) ),
    inference(duplicate_literals_removal,[status(esa)],[f471]) ).

fof(f494,plain,
    ( pd0_0(sk0_51,sk0_48,sk0_49)
    | ~ spl0_0 ),
    inference(forward_demodulation,[status(thm)],[f423,f439]) ).

fof(f495,plain,
    ( pd0_0(sk0_51,sk0_48,sk0_47)
    | ~ spl0_0 ),
    inference(forward_demodulation,[status(thm)],[f424,f494]) ).

fof(f496,plain,
    ( ssItem(sk0_51)
    | ~ spl0_0 ),
    inference(resolution,[status(thm)],[f431,f495]) ).

fof(f500,plain,
    ( spl0_5
  <=> ssItem(sk0_51) ),
    introduced(split_symbol_definition) ).

fof(f502,plain,
    ( ~ ssItem(sk0_51)
    | spl0_5 ),
    inference(component_clause,[status(thm)],[f500]) ).

fof(f513,plain,
    ( nil = sk0_48
    | ~ spl0_1 ),
    inference(forward_demodulation,[status(thm)],[f423,f442]) ).

fof(f515,plain,
    ( neq(nil,nil)
    | ~ spl0_1 ),
    inference(backward_demodulation,[status(thm)],[f513,f425]) ).

fof(f526,plain,
    ( $false
    | spl0_5
    | ~ spl0_0 ),
    inference(forward_subsumption_resolution,[status(thm)],[f496,f502]) ).

fof(f527,plain,
    ( spl0_5
    | ~ spl0_0 ),
    inference(contradiction_clause,[status(thm)],[f526]) ).

fof(f534,plain,
    ( ~ ssList(nil)
    | ~ spl0_1 ),
    inference(resolution,[status(thm)],[f515,f472]) ).

fof(f535,plain,
    ( $false
    | ~ spl0_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[f534,f223]) ).

fof(f536,plain,
    ~ spl0_1,
    inference(contradiction_clause,[status(thm)],[f535]) ).

fof(f542,plain,
    ( cons(sk0_51,nil) = sk0_47
    | ~ spl0_0 ),
    inference(resolution,[status(thm)],[f434,f495]) ).

fof(f543,plain,
    ( app(app(sk0_52(sk0_51,sk0_48,sk0_47),sk0_47),sk0_53(sk0_51,sk0_48,sk0_47)) = sk0_48
    | ~ spl0_0 ),
    inference(resolution,[status(thm)],[f435,f495]) ).

fof(f574,plain,
    ( spl0_10
  <=> ssList(sk0_48) ),
    introduced(split_symbol_definition) ).

fof(f576,plain,
    ( ~ ssList(sk0_48)
    | spl0_10 ),
    inference(component_clause,[status(thm)],[f574]) ).

fof(f582,plain,
    ( spl0_12
  <=> ssList(sk0_47) ),
    introduced(split_symbol_definition) ).

fof(f584,plain,
    ( ~ ssList(sk0_47)
    | spl0_12 ),
    inference(component_clause,[status(thm)],[f582]) ).

fof(f604,plain,
    ( $false
    | spl0_10 ),
    inference(forward_subsumption_resolution,[status(thm)],[f576,f420]) ).

fof(f605,plain,
    spl0_10,
    inference(contradiction_clause,[status(thm)],[f604]) ).

fof(f606,plain,
    ( $false
    | spl0_12 ),
    inference(forward_subsumption_resolution,[status(thm)],[f584,f419]) ).

fof(f607,plain,
    spl0_12,
    inference(contradiction_clause,[status(thm)],[f606]) ).

fof(f637,plain,
    ( spl0_18
  <=> ssList(cons(sk0_51,nil)) ),
    introduced(split_symbol_definition) ).

fof(f639,plain,
    ( ~ ssList(cons(sk0_51,nil))
    | spl0_18 ),
    inference(component_clause,[status(thm)],[f637]) ).

fof(f640,plain,
    ( ~ ssList(cons(sk0_51,nil))
    | singletonP(sk0_47)
    | ~ ssItem(sk0_51)
    | ~ spl0_0 ),
    inference(paramodulation,[status(thm)],[f542,f459]) ).

fof(f641,plain,
    ( ~ spl0_18
    | spl0_3
    | ~ spl0_5
    | ~ spl0_0 ),
    inference(split_clause,[status(thm)],[f640,f637,f449,f500,f438]) ).

fof(f647,plain,
    ( ~ ssList(sk0_47)
    | ~ spl0_0
    | spl0_18 ),
    inference(forward_demodulation,[status(thm)],[f542,f639]) ).

fof(f648,plain,
    ( $false
    | ~ spl0_0
    | spl0_18 ),
    inference(forward_subsumption_resolution,[status(thm)],[f647,f419]) ).

fof(f649,plain,
    ( ~ spl0_0
    | spl0_18 ),
    inference(contradiction_clause,[status(thm)],[f648]) ).

fof(f666,plain,
    ( spl0_22
  <=> segmentP(app(app(sk0_52(sk0_51,sk0_48,sk0_47),sk0_47),sk0_53(sk0_51,sk0_48,sk0_47)),sk0_47) ),
    introduced(split_symbol_definition) ).

fof(f667,plain,
    ( segmentP(app(app(sk0_52(sk0_51,sk0_48,sk0_47),sk0_47),sk0_53(sk0_51,sk0_48,sk0_47)),sk0_47)
    | ~ spl0_22 ),
    inference(component_clause,[status(thm)],[f666]) ).

fof(f669,plain,
    ( spl0_23
  <=> ssList(sk0_52(sk0_51,sk0_48,sk0_47)) ),
    introduced(split_symbol_definition) ).

fof(f671,plain,
    ( ~ ssList(sk0_52(sk0_51,sk0_48,sk0_47))
    | spl0_23 ),
    inference(component_clause,[status(thm)],[f669]) ).

fof(f672,plain,
    ( spl0_24
  <=> ssList(sk0_53(sk0_51,sk0_48,sk0_47)) ),
    introduced(split_symbol_definition) ).

fof(f674,plain,
    ( ~ ssList(sk0_53(sk0_51,sk0_48,sk0_47))
    | spl0_24 ),
    inference(component_clause,[status(thm)],[f672]) ).

fof(f675,plain,
    ( ~ ssList(sk0_48)
    | ~ ssList(sk0_47)
    | segmentP(app(app(sk0_52(sk0_51,sk0_48,sk0_47),sk0_47),sk0_53(sk0_51,sk0_48,sk0_47)),sk0_47)
    | ~ ssList(sk0_52(sk0_51,sk0_48,sk0_47))
    | ~ ssList(sk0_53(sk0_51,sk0_48,sk0_47))
    | ~ spl0_0 ),
    inference(paramodulation,[status(thm)],[f543,f462]) ).

fof(f676,plain,
    ( ~ spl0_10
    | ~ spl0_12
    | spl0_22
    | ~ spl0_23
    | ~ spl0_24
    | ~ spl0_0 ),
    inference(split_clause,[status(thm)],[f675,f574,f582,f666,f669,f672,f438]) ).

fof(f710,plain,
    ( ~ pd0_0(sk0_51,sk0_48,sk0_47)
    | spl0_23 ),
    inference(resolution,[status(thm)],[f671,f432]) ).

fof(f711,plain,
    ( $false
    | ~ spl0_0
    | spl0_23 ),
    inference(forward_subsumption_resolution,[status(thm)],[f710,f495]) ).

fof(f712,plain,
    ( ~ spl0_0
    | spl0_23 ),
    inference(contradiction_clause,[status(thm)],[f711]) ).

fof(f713,plain,
    ( ~ pd0_0(sk0_51,sk0_48,sk0_47)
    | spl0_24 ),
    inference(resolution,[status(thm)],[f674,f433]) ).

fof(f714,plain,
    ( $false
    | ~ spl0_0
    | spl0_24 ),
    inference(forward_subsumption_resolution,[status(thm)],[f713,f495]) ).

fof(f715,plain,
    ( ~ spl0_0
    | spl0_24 ),
    inference(contradiction_clause,[status(thm)],[f714]) ).

fof(f716,plain,
    ( segmentP(sk0_48,sk0_47)
    | ~ spl0_0
    | ~ spl0_22 ),
    inference(forward_demodulation,[status(thm)],[f543,f667]) ).

fof(f717,plain,
    ( $false
    | spl0_4
    | ~ spl0_0
    | ~ spl0_22 ),
    inference(forward_subsumption_resolution,[status(thm)],[f716,f454]) ).

fof(f718,plain,
    ( spl0_4
    | ~ spl0_0
    | ~ spl0_22 ),
    inference(contradiction_clause,[status(thm)],[f717]) ).

fof(f719,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f444,f455,f527,f536,f605,f607,f641,f649,f676,f712,f715,f718]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem  : SWC384+1 : TPTP v8.1.2. Released v2.4.0.
% 0.08/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n015.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Tue Apr 30 00:31:17 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.13/0.37  % Drodi V3.6.0
% 0.13/0.37  % Refutation found
% 0.13/0.37  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.37  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.39  % Elapsed time: 0.038809 seconds
% 0.19/0.39  % CPU time: 0.068618 seconds
% 0.19/0.39  % Total memory used: 14.859 MB
% 0.19/0.39  % Net memory used: 14.834 MB
%------------------------------------------------------------------------------