TSTP Solution File: SWC025+1 by iProver---3.8

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%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SWC025+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n017.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 : Thu Aug 31 20:40:24 EDT 2023

% Result   : Theorem 11.35s 2.70s
% Output   : CNFRefutation 11.35s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f596)

% Comments : 
%------------------------------------------------------------------------------
fof(f20,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( ? [X1] :
            ( ? [X2] :
                ( cons(X2,X1) = X0
                & ssItem(X2) )
            & ssList(X1) )
        | nil = X0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax20) ).

fof(f38,axiom,
    ! [X0] :
      ( ssItem(X0)
     => ~ memberP(nil,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax38) ).

fof(f75,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( nil != X0
       => ? [X1] :
            ( hd(X0) = X1
            & ssItem(X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax75) ).

fof(f76,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( nil != X0
       => ? [X1] :
            ( tl(X0) = X1
            & ssList(X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax76) ).

fof(f78,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( nil != X0
       => cons(hd(X0),tl(X0)) = X0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax78) ).

fof(f96,conjecture,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ! [X3] :
                  ( ssList(X3)
                 => ( ( ( nil = X1
                        | nil != X0 )
                      & ( nil = X0
                        | nil != X1 ) )
                    | ? [X4] :
                        ( ( ( memberP(X3,X4)
                            & ~ memberP(X2,X4) )
                          | ( memberP(X2,X4)
                            & ~ memberP(X3,X4) ) )
                        & ssItem(X4) )
                    | ~ duplicatefreeP(X2)
                    | X0 != X2
                    | X1 != X3 ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f97,negated_conjecture,
    ~ ! [X0] :
        ( ssList(X0)
       => ! [X1] :
            ( ssList(X1)
           => ! [X2] :
                ( ssList(X2)
               => ! [X3] :
                    ( ssList(X3)
                   => ( ( ( nil = X1
                          | nil != X0 )
                        & ( nil = X0
                          | nil != X1 ) )
                      | ? [X4] :
                          ( ( ( memberP(X3,X4)
                              & ~ memberP(X2,X4) )
                            | ( memberP(X2,X4)
                              & ~ memberP(X3,X4) ) )
                          & ssItem(X4) )
                      | ~ duplicatefreeP(X2)
                      | X0 != X2
                      | X1 != X3 ) ) ) ) ),
    inference(negated_conjecture,[],[f96]) ).

fof(f123,plain,
    ! [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( cons(X2,X1) = X0
              & ssItem(X2) )
          & ssList(X1) )
      | nil = X0
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f20]) ).

fof(f124,plain,
    ! [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( cons(X2,X1) = X0
              & ssItem(X2) )
          & ssList(X1) )
      | nil = X0
      | ~ ssList(X0) ),
    inference(flattening,[],[f123]) ).

fof(f148,plain,
    ! [X0] :
      ( ~ memberP(nil,X0)
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f38]) ).

fof(f186,plain,
    ! [X0] :
      ( ? [X1] :
          ( hd(X0) = X1
          & ssItem(X1) )
      | nil = X0
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f75]) ).

fof(f187,plain,
    ! [X0] :
      ( ? [X1] :
          ( hd(X0) = X1
          & ssItem(X1) )
      | nil = X0
      | ~ ssList(X0) ),
    inference(flattening,[],[f186]) ).

fof(f188,plain,
    ! [X0] :
      ( ? [X1] :
          ( tl(X0) = X1
          & ssList(X1) )
      | nil = X0
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f76]) ).

fof(f189,plain,
    ! [X0] :
      ( ? [X1] :
          ( tl(X0) = X1
          & ssList(X1) )
      | nil = X0
      | ~ ssList(X0) ),
    inference(flattening,[],[f188]) ).

fof(f192,plain,
    ! [X0] :
      ( cons(hd(X0),tl(X0)) = X0
      | nil = X0
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f78]) ).

fof(f193,plain,
    ! [X0] :
      ( cons(hd(X0),tl(X0)) = X0
      | nil = X0
      | ~ ssList(X0) ),
    inference(flattening,[],[f192]) ).

fof(f221,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( ( nil != X1
                      & nil = X0 )
                    | ( nil != X0
                      & nil = X1 ) )
                  & ! [X4] :
                      ( ( ( ~ memberP(X3,X4)
                          | memberP(X2,X4) )
                        & ( ~ memberP(X2,X4)
                          | memberP(X3,X4) ) )
                      | ~ ssItem(X4) )
                  & duplicatefreeP(X2)
                  & X0 = X2
                  & X1 = X3
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(ennf_transformation,[],[f97]) ).

fof(f222,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( ( nil != X1
                      & nil = X0 )
                    | ( nil != X0
                      & nil = X1 ) )
                  & ! [X4] :
                      ( ( ( ~ memberP(X3,X4)
                          | memberP(X2,X4) )
                        & ( ~ memberP(X2,X4)
                          | memberP(X3,X4) ) )
                      | ~ ssItem(X4) )
                  & duplicatefreeP(X2)
                  & X0 = X2
                  & X1 = X3
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(flattening,[],[f221]) ).

fof(f317,plain,
    ! [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( cons(X2,X1) = X0
              & ssItem(X2) )
          & ssList(X1) )
     => ( ? [X2] :
            ( cons(X2,sK49(X0)) = X0
            & ssItem(X2) )
        & ssList(sK49(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f318,plain,
    ! [X0] :
      ( ? [X2] :
          ( cons(X2,sK49(X0)) = X0
          & ssItem(X2) )
     => ( cons(sK50(X0),sK49(X0)) = X0
        & ssItem(sK50(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f319,plain,
    ! [X0] :
      ( ( cons(sK50(X0),sK49(X0)) = X0
        & ssItem(sK50(X0))
        & ssList(sK49(X0)) )
      | nil = X0
      | ~ ssList(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK49,sK50])],[f124,f318,f317]) ).

fof(f335,plain,
    ! [X0] :
      ( ? [X1] :
          ( hd(X0) = X1
          & ssItem(X1) )
     => ( hd(X0) = sK51(X0)
        & ssItem(sK51(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f336,plain,
    ! [X0] :
      ( ( hd(X0) = sK51(X0)
        & ssItem(sK51(X0)) )
      | nil = X0
      | ~ ssList(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK51])],[f187,f335]) ).

fof(f337,plain,
    ! [X0] :
      ( ? [X1] :
          ( tl(X0) = X1
          & ssList(X1) )
     => ( tl(X0) = sK52(X0)
        & ssList(sK52(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f338,plain,
    ! [X0] :
      ( ( tl(X0) = sK52(X0)
        & ssList(sK52(X0)) )
      | nil = X0
      | ~ ssList(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK52])],[f189,f337]) ).

fof(f343,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( ? [X2] :
                ( ? [X3] :
                    ( ( ( nil != X1
                        & nil = X0 )
                      | ( nil != X0
                        & nil = X1 ) )
                    & ! [X4] :
                        ( ( ( ~ memberP(X3,X4)
                            | memberP(X2,X4) )
                          & ( ~ memberP(X2,X4)
                            | memberP(X3,X4) ) )
                        | ~ ssItem(X4) )
                    & duplicatefreeP(X2)
                    & X0 = X2
                    & X1 = X3
                    & ssList(X3) )
                & ssList(X2) )
            & ssList(X1) )
        & ssList(X0) )
   => ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( ( nil != X1
                      & nil = sK53 )
                    | ( nil != sK53
                      & nil = X1 ) )
                  & ! [X4] :
                      ( ( ( ~ memberP(X3,X4)
                          | memberP(X2,X4) )
                        & ( ~ memberP(X2,X4)
                          | memberP(X3,X4) ) )
                      | ~ ssItem(X4) )
                  & duplicatefreeP(X2)
                  & sK53 = X2
                  & X1 = X3
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(sK53) ) ),
    introduced(choice_axiom,[]) ).

fof(f344,plain,
    ( ? [X1] :
        ( ? [X2] :
            ( ? [X3] :
                ( ( ( nil != X1
                    & nil = sK53 )
                  | ( nil != sK53
                    & nil = X1 ) )
                & ! [X4] :
                    ( ( ( ~ memberP(X3,X4)
                        | memberP(X2,X4) )
                      & ( ~ memberP(X2,X4)
                        | memberP(X3,X4) ) )
                    | ~ ssItem(X4) )
                & duplicatefreeP(X2)
                & sK53 = X2
                & X1 = X3
                & ssList(X3) )
            & ssList(X2) )
        & ssList(X1) )
   => ( ? [X2] :
          ( ? [X3] :
              ( ( ( nil != sK54
                  & nil = sK53 )
                | ( nil != sK53
                  & nil = sK54 ) )
              & ! [X4] :
                  ( ( ( ~ memberP(X3,X4)
                      | memberP(X2,X4) )
                    & ( ~ memberP(X2,X4)
                      | memberP(X3,X4) ) )
                  | ~ ssItem(X4) )
              & duplicatefreeP(X2)
              & sK53 = X2
              & sK54 = X3
              & ssList(X3) )
          & ssList(X2) )
      & ssList(sK54) ) ),
    introduced(choice_axiom,[]) ).

fof(f345,plain,
    ( ? [X2] :
        ( ? [X3] :
            ( ( ( nil != sK54
                & nil = sK53 )
              | ( nil != sK53
                & nil = sK54 ) )
            & ! [X4] :
                ( ( ( ~ memberP(X3,X4)
                    | memberP(X2,X4) )
                  & ( ~ memberP(X2,X4)
                    | memberP(X3,X4) ) )
                | ~ ssItem(X4) )
            & duplicatefreeP(X2)
            & sK53 = X2
            & sK54 = X3
            & ssList(X3) )
        & ssList(X2) )
   => ( ? [X3] :
          ( ( ( nil != sK54
              & nil = sK53 )
            | ( nil != sK53
              & nil = sK54 ) )
          & ! [X4] :
              ( ( ( ~ memberP(X3,X4)
                  | memberP(sK55,X4) )
                & ( ~ memberP(sK55,X4)
                  | memberP(X3,X4) ) )
              | ~ ssItem(X4) )
          & duplicatefreeP(sK55)
          & sK53 = sK55
          & sK54 = X3
          & ssList(X3) )
      & ssList(sK55) ) ),
    introduced(choice_axiom,[]) ).

fof(f346,plain,
    ( ? [X3] :
        ( ( ( nil != sK54
            & nil = sK53 )
          | ( nil != sK53
            & nil = sK54 ) )
        & ! [X4] :
            ( ( ( ~ memberP(X3,X4)
                | memberP(sK55,X4) )
              & ( ~ memberP(sK55,X4)
                | memberP(X3,X4) ) )
            | ~ ssItem(X4) )
        & duplicatefreeP(sK55)
        & sK53 = sK55
        & sK54 = X3
        & ssList(X3) )
   => ( ( ( nil != sK54
          & nil = sK53 )
        | ( nil != sK53
          & nil = sK54 ) )
      & ! [X4] :
          ( ( ( ~ memberP(sK56,X4)
              | memberP(sK55,X4) )
            & ( ~ memberP(sK55,X4)
              | memberP(sK56,X4) ) )
          | ~ ssItem(X4) )
      & duplicatefreeP(sK55)
      & sK53 = sK55
      & sK54 = sK56
      & ssList(sK56) ) ),
    introduced(choice_axiom,[]) ).

fof(f347,plain,
    ( ( ( nil != sK54
        & nil = sK53 )
      | ( nil != sK53
        & nil = sK54 ) )
    & ! [X4] :
        ( ( ( ~ memberP(sK56,X4)
            | memberP(sK55,X4) )
          & ( ~ memberP(sK55,X4)
            | memberP(sK56,X4) ) )
        | ~ ssItem(X4) )
    & duplicatefreeP(sK55)
    & sK53 = sK55
    & sK54 = sK56
    & ssList(sK56)
    & ssList(sK55)
    & ssList(sK54)
    & ssList(sK53) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK53,sK54,sK55,sK56])],[f222,f346,f345,f344,f343]) ).

fof(f444,plain,
    ! [X0] :
      ( ssList(sK49(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f319]) ).

fof(f445,plain,
    ! [X0] :
      ( ssItem(sK50(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f319]) ).

fof(f446,plain,
    ! [X0] :
      ( cons(sK50(X0),sK49(X0)) = X0
      | nil = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f319]) ).

fof(f470,plain,
    ! [X0] :
      ( ~ memberP(nil,X0)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f148]) ).

fof(f520,plain,
    ! [X0] :
      ( ssItem(sK51(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f336]) ).

fof(f521,plain,
    ! [X0] :
      ( hd(X0) = sK51(X0)
      | nil = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f336]) ).

fof(f522,plain,
    ! [X0] :
      ( ssList(sK52(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f338]) ).

fof(f523,plain,
    ! [X0] :
      ( tl(X0) = sK52(X0)
      | nil = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f338]) ).

fof(f525,plain,
    ! [X0] :
      ( cons(hd(X0),tl(X0)) = X0
      | nil = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f193]) ).

fof(f547,plain,
    ssList(sK53),
    inference(cnf_transformation,[],[f347]) ).

fof(f548,plain,
    ssList(sK54),
    inference(cnf_transformation,[],[f347]) ).

fof(f551,plain,
    sK54 = sK56,
    inference(cnf_transformation,[],[f347]) ).

fof(f552,plain,
    sK53 = sK55,
    inference(cnf_transformation,[],[f347]) ).

fof(f554,plain,
    ! [X4] :
      ( ~ memberP(sK55,X4)
      | memberP(sK56,X4)
      | ~ ssItem(X4) ),
    inference(cnf_transformation,[],[f347]) ).

fof(f555,plain,
    ! [X4] :
      ( ~ memberP(sK56,X4)
      | memberP(sK55,X4)
      | ~ ssItem(X4) ),
    inference(cnf_transformation,[],[f347]) ).

fof(f556,plain,
    ( nil = sK53
    | nil = sK54 ),
    inference(cnf_transformation,[],[f347]) ).

fof(f559,plain,
    ( nil != sK54
    | nil != sK53 ),
    inference(cnf_transformation,[],[f347]) ).

fof(f560,plain,
    ( nil != sK56
    | nil != sK55 ),
    inference(definition_unfolding,[],[f559,f551,f552]) ).

fof(f563,plain,
    ( nil = sK55
    | nil = sK56 ),
    inference(definition_unfolding,[],[f556,f552,f551]) ).

fof(f564,plain,
    ssList(sK56),
    inference(definition_unfolding,[],[f548,f551]) ).

fof(f565,plain,
    ssList(sK55),
    inference(definition_unfolding,[],[f547,f552]) ).

cnf(c_145,plain,
    ( ~ ssList(X0)
    | cons(sK50(X0),sK49(X0)) = X0
    | X0 = nil ),
    inference(cnf_transformation,[],[f446]) ).

cnf(c_146,plain,
    ( ~ ssList(X0)
    | X0 = nil
    | ssItem(sK50(X0)) ),
    inference(cnf_transformation,[],[f445]) ).

cnf(c_147,plain,
    ( ~ ssList(X0)
    | X0 = nil
    | ssList(sK49(X0)) ),
    inference(cnf_transformation,[],[f444]) ).

cnf(c_169,plain,
    ( ~ ssItem(X0)
    | ~ ssList(X1)
    | memberP(cons(X0,X1),X0) ),
    inference(cnf_transformation,[],[f596]) ).

cnf(c_171,plain,
    ( ~ memberP(nil,X0)
    | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f470]) ).

cnf(c_219,plain,
    ( ~ ssList(X0)
    | hd(X0) = sK51(X0)
    | X0 = nil ),
    inference(cnf_transformation,[],[f521]) ).

cnf(c_220,plain,
    ( ~ ssList(X0)
    | X0 = nil
    | ssItem(sK51(X0)) ),
    inference(cnf_transformation,[],[f520]) ).

cnf(c_221,plain,
    ( ~ ssList(X0)
    | tl(X0) = sK52(X0)
    | X0 = nil ),
    inference(cnf_transformation,[],[f523]) ).

cnf(c_222,plain,
    ( ~ ssList(X0)
    | X0 = nil
    | ssList(sK52(X0)) ),
    inference(cnf_transformation,[],[f522]) ).

cnf(c_224,plain,
    ( ~ ssList(X0)
    | cons(hd(X0),tl(X0)) = X0
    | X0 = nil ),
    inference(cnf_transformation,[],[f525]) ).

cnf(c_246,negated_conjecture,
    ( nil != sK56
    | nil != sK55 ),
    inference(cnf_transformation,[],[f560]) ).

cnf(c_247,negated_conjecture,
    ( nil = sK56
    | nil = sK55 ),
    inference(cnf_transformation,[],[f563]) ).

cnf(c_248,negated_conjecture,
    ( ~ memberP(sK56,X0)
    | ~ ssItem(X0)
    | memberP(sK55,X0) ),
    inference(cnf_transformation,[],[f555]) ).

cnf(c_249,negated_conjecture,
    ( ~ memberP(sK55,X0)
    | ~ ssItem(X0)
    | memberP(sK56,X0) ),
    inference(cnf_transformation,[],[f554]) ).

cnf(c_253,negated_conjecture,
    ssList(sK56),
    inference(cnf_transformation,[],[f564]) ).

cnf(c_254,negated_conjecture,
    ssList(sK55),
    inference(cnf_transformation,[],[f565]) ).

cnf(c_9786,plain,
    ( X0 != X1
    | ~ memberP(X1,X2)
    | memberP(X0,X2) ),
    theory(equality) ).

cnf(c_15823,plain,
    ( hd(sK55) = sK51(sK55)
    | nil = sK55 ),
    inference(superposition,[status(thm)],[c_254,c_219]) ).

cnf(c_15997,plain,
    ( tl(sK55) = sK52(sK55)
    | nil = sK55 ),
    inference(superposition,[status(thm)],[c_254,c_221]) ).

cnf(c_16298,plain,
    ( ~ ssList(sK55)
    | nil = sK55
    | ssItem(hd(sK55)) ),
    inference(superposition,[status(thm)],[c_15823,c_220]) ).

cnf(c_16299,plain,
    ( nil = sK55
    | ssItem(hd(sK55)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_16298,c_254]) ).

cnf(c_16376,plain,
    ( ~ ssList(sK55)
    | nil = sK55
    | ssList(tl(sK55)) ),
    inference(superposition,[status(thm)],[c_15997,c_222]) ).

cnf(c_16377,plain,
    ( nil = sK55
    | ssList(tl(sK55)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_16376,c_254]) ).

cnf(c_17094,plain,
    ( cons(sK50(sK56),sK49(sK56)) = sK56
    | nil = sK56 ),
    inference(superposition,[status(thm)],[c_253,c_145]) ).

cnf(c_17273,plain,
    ( cons(hd(sK55),tl(sK55)) = sK55
    | nil = sK55 ),
    inference(superposition,[status(thm)],[c_254,c_224]) ).

cnf(c_17606,plain,
    ( ~ ssItem(hd(sK55))
    | ~ ssList(tl(sK55))
    | nil = sK55
    | memberP(sK55,hd(sK55)) ),
    inference(superposition,[status(thm)],[c_17273,c_169]) ).

cnf(c_23292,plain,
    ( ~ memberP(nil,hd(sK55))
    | ~ ssItem(hd(sK55)) ),
    inference(instantiation,[status(thm)],[c_171]) ).

cnf(c_23293,plain,
    ( ~ memberP(sK55,hd(sK55))
    | ~ ssItem(hd(sK55))
    | memberP(sK56,hd(sK55)) ),
    inference(instantiation,[status(thm)],[c_249]) ).

cnf(c_38309,plain,
    ( cons(sK50(sK56),sK49(sK56)) = sK56
    | nil = sK56 ),
    inference(superposition,[status(thm)],[c_253,c_145]) ).

cnf(c_38310,plain,
    ( cons(sK50(sK55),sK49(sK55)) = sK55
    | nil = sK55 ),
    inference(superposition,[status(thm)],[c_254,c_145]) ).

cnf(c_38594,plain,
    ( X0 != sK56
    | ~ memberP(sK56,hd(sK55))
    | memberP(X0,hd(sK55)) ),
    inference(instantiation,[status(thm)],[c_9786]) ).

cnf(c_38595,plain,
    ( nil != sK56
    | ~ memberP(sK56,hd(sK55))
    | memberP(nil,hd(sK55)) ),
    inference(instantiation,[status(thm)],[c_38594]) ).

cnf(c_40891,plain,
    cons(sK50(sK56),sK49(sK56)) = sK56,
    inference(global_subsumption_just,[status(thm)],[c_38309,c_246,c_16299,c_16377,c_17094,c_17606,c_23293,c_23292,c_38595]) ).

cnf(c_40899,plain,
    ( ~ ssItem(sK50(sK56))
    | ~ ssList(sK49(sK56))
    | memberP(sK56,sK50(sK56)) ),
    inference(superposition,[status(thm)],[c_40891,c_169]) ).

cnf(c_41206,plain,
    nil = sK55,
    inference(global_subsumption_just,[status(thm)],[c_38310,c_247,c_246,c_16299,c_16377,c_17606,c_23293,c_23292,c_38595]) ).

cnf(c_41225,plain,
    ( ~ memberP(sK56,X0)
    | ~ ssItem(X0)
    | memberP(nil,X0) ),
    inference(demodulation,[status(thm)],[c_248,c_41206]) ).

cnf(c_41226,plain,
    ( nil != nil
    | nil != sK56 ),
    inference(demodulation,[status(thm)],[c_246,c_41206]) ).

cnf(c_41230,plain,
    nil != sK56,
    inference(equality_resolution_simp,[status(thm)],[c_41226]) ).

cnf(c_41249,plain,
    ( ~ ssItem(X0)
    | ~ memberP(sK56,X0) ),
    inference(global_subsumption_just,[status(thm)],[c_41225,c_171,c_41225]) ).

cnf(c_41250,plain,
    ( ~ memberP(sK56,X0)
    | ~ ssItem(X0) ),
    inference(renaming,[status(thm)],[c_41249]) ).

cnf(c_41488,plain,
    ( ~ ssItem(sK50(sK56))
    | ~ ssList(sK49(sK56)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_40899,c_41250]) ).

cnf(c_41491,plain,
    ( ~ ssList(sK49(sK56))
    | ~ ssList(sK56)
    | nil = sK56 ),
    inference(superposition,[status(thm)],[c_146,c_41488]) ).

cnf(c_41492,plain,
    ~ ssList(sK49(sK56)),
    inference(forward_subsumption_resolution,[status(thm)],[c_41491,c_41230,c_253]) ).

cnf(c_41493,plain,
    ( ~ ssList(sK56)
    | nil = sK56 ),
    inference(superposition,[status(thm)],[c_147,c_41492]) ).

cnf(c_41494,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_41493,c_41230,c_253]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SWC025+1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.13  % Command  : run_iprover %s %d THM
% 0.12/0.35  % Computer : n017.cluster.edu
% 0.12/0.35  % Model    : x86_64 x86_64
% 0.12/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35  % Memory   : 8042.1875MB
% 0.12/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35  % CPULimit : 300
% 0.12/0.35  % WCLimit  : 300
% 0.12/0.35  % DateTime : Mon Aug 28 17:20:43 EDT 2023
% 0.12/0.35  % CPUTime  : 
% 0.19/0.48  Running first-order theorem proving
% 0.19/0.48  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 11.35/2.70  % SZS status Started for theBenchmark.p
% 11.35/2.70  % SZS status Theorem for theBenchmark.p
% 11.35/2.70  
% 11.35/2.70  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 11.35/2.70  
% 11.35/2.70  ------  iProver source info
% 11.35/2.70  
% 11.35/2.70  git: date: 2023-05-31 18:12:56 +0000
% 11.35/2.70  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 11.35/2.70  git: non_committed_changes: false
% 11.35/2.70  git: last_make_outside_of_git: false
% 11.35/2.70  
% 11.35/2.70  ------ Parsing...
% 11.35/2.70  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 11.35/2.70  
% 11.35/2.70  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe_e  sup_sim: 0  sf_s  rm: 4 0s  sf_e  pe_s  pe_e 
% 11.35/2.70  
% 11.35/2.70  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 11.35/2.70  
% 11.35/2.70  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 11.35/2.70  ------ Proving...
% 11.35/2.70  ------ Problem Properties 
% 11.35/2.70  
% 11.35/2.70  
% 11.35/2.70  clauses                                 187
% 11.35/2.70  conjectures                             7
% 11.35/2.70  EPR                                     56
% 11.35/2.70  Horn                                    118
% 11.35/2.70  unary                                   19
% 11.35/2.70  binary                                  42
% 11.35/2.70  lits                                    631
% 11.35/2.70  lits eq                                 82
% 11.35/2.70  fd_pure                                 0
% 11.35/2.70  fd_pseudo                               0
% 11.35/2.70  fd_cond                                 21
% 11.35/2.70  fd_pseudo_cond                          14
% 11.35/2.70  AC symbols                              0
% 11.35/2.70  
% 11.35/2.70  ------ Schedule dynamic 5 is on 
% 11.35/2.70  
% 11.35/2.70  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 11.35/2.70  
% 11.35/2.70  
% 11.35/2.70  ------ 
% 11.35/2.70  Current options:
% 11.35/2.70  ------ 
% 11.35/2.70  
% 11.35/2.70  
% 11.35/2.70  
% 11.35/2.70  
% 11.35/2.70  ------ Proving...
% 11.35/2.70  
% 11.35/2.70  
% 11.35/2.70  % SZS status Theorem for theBenchmark.p
% 11.35/2.70  
% 11.35/2.70  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 11.35/2.70  
% 11.35/2.71  
%------------------------------------------------------------------------------