TSTP Solution File: SWC068+1 by iProver---3.8

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%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SWC068+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 20:40:44 EDT 2023

% Result   : Theorem 7.51s 1.72s
% Output   : CNFRefutation 7.51s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f592)

% Comments : 
%------------------------------------------------------------------------------
fof(f7,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( segmentP(X0,X1)
          <=> ? [X2] :
                ( ? [X3] :
                    ( app(app(X2,X1),X3) = X0
                    & ssList(X3) )
                & ssList(X2) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).

fof(f15,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( neq(X0,X1)
          <=> X0 != X1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).

fof(f17,axiom,
    ssList(nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).

fof(f26,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ssList(app(X0,X1)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax26) ).

fof(f28,axiom,
    ! [X0] :
      ( ssList(X0)
     => app(nil,X0) = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax28) ).

fof(f83,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( nil = app(X0,X1)
          <=> ( nil = X0
              & nil = X1 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax83) ).

fof(f84,axiom,
    ! [X0] :
      ( ssList(X0)
     => app(X0,nil) = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax84) ).

fof(f96,conjecture,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ! [X3] :
                  ( ssList(X3)
                 => ( ( nil = X0
                      & nil = X1 )
                    | ? [X4] :
                        ( segmentP(X0,X4)
                        & segmentP(X1,X4)
                        & neq(X4,nil)
                        & ssList(X4) )
                    | X0 != X2
                    | X1 != X3
                    | app(X3,X3) != X2 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

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

fof(f103,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( segmentP(X0,X1)
          <=> ? [X2] :
                ( ? [X3] :
                    ( app(app(X2,X1),X3) = X0
                    & ssList(X3) )
                & ssList(X2) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f118,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( neq(X0,X1)
          <=> X0 != X1 )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f132,plain,
    ! [X0] :
      ( ! [X1] :
          ( ssList(app(X0,X1))
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f26]) ).

fof(f134,plain,
    ! [X0] :
      ( app(nil,X0) = X0
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f28]) ).

fof(f200,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( nil = app(X0,X1)
          <=> ( nil = X0
              & nil = X1 ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f83]) ).

fof(f201,plain,
    ! [X0] :
      ( app(X0,nil) = X0
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f84]) ).

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

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

fof(f253,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( segmentP(X0,X1)
              | ! [X2] :
                  ( ! [X3] :
                      ( app(app(X2,X1),X3) != X0
                      | ~ ssList(X3) )
                  | ~ ssList(X2) ) )
            & ( ? [X2] :
                  ( ? [X3] :
                      ( app(app(X2,X1),X3) = X0
                      & ssList(X3) )
                  & ssList(X2) )
              | ~ segmentP(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f103]) ).

fof(f254,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( segmentP(X0,X1)
              | ! [X2] :
                  ( ! [X3] :
                      ( app(app(X2,X1),X3) != X0
                      | ~ ssList(X3) )
                  | ~ ssList(X2) ) )
            & ( ? [X4] :
                  ( ? [X5] :
                      ( app(app(X4,X1),X5) = X0
                      & ssList(X5) )
                  & ssList(X4) )
              | ~ segmentP(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(rectify,[],[f253]) ).

fof(f255,plain,
    ! [X0,X1] :
      ( ? [X4] :
          ( ? [X5] :
              ( app(app(X4,X1),X5) = X0
              & ssList(X5) )
          & ssList(X4) )
     => ( ? [X5] :
            ( app(app(sK13(X0,X1),X1),X5) = X0
            & ssList(X5) )
        & ssList(sK13(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f256,plain,
    ! [X0,X1] :
      ( ? [X5] :
          ( app(app(sK13(X0,X1),X1),X5) = X0
          & ssList(X5) )
     => ( app(app(sK13(X0,X1),X1),sK14(X0,X1)) = X0
        & ssList(sK14(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f257,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( segmentP(X0,X1)
              | ! [X2] :
                  ( ! [X3] :
                      ( app(app(X2,X1),X3) != X0
                      | ~ ssList(X3) )
                  | ~ ssList(X2) ) )
            & ( ( app(app(sK13(X0,X1),X1),sK14(X0,X1)) = X0
                & ssList(sK14(X0,X1))
                & ssList(sK13(X0,X1)) )
              | ~ segmentP(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14])],[f254,f256,f255]) ).

fof(f316,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( neq(X0,X1)
              | X0 = X1 )
            & ( X0 != X1
              | ~ neq(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f118]) ).

fof(f339,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( nil = app(X0,X1)
              | nil != X0
              | nil != X1 )
            & ( ( nil = X0
                & nil = X1 )
              | nil != app(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f200]) ).

fof(f340,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( nil = app(X0,X1)
              | nil != X0
              | nil != X1 )
            & ( ( nil = X0
                & nil = X1 )
              | nil != app(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(flattening,[],[f339]) ).

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

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

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

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

fof(f347,plain,
    ( ( nil != sK53
      | nil != sK54 )
    & ! [X4] :
        ( ~ segmentP(sK53,X4)
        | ~ segmentP(sK54,X4)
        | ~ neq(X4,nil)
        | ~ ssList(X4) )
    & sK53 = sK55
    & sK54 = sK56
    & sK55 = app(sK56,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(f369,plain,
    ! [X2,X3,X0,X1] :
      ( segmentP(X0,X1)
      | app(app(X2,X1),X3) != X0
      | ~ ssList(X3)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f257]) ).

fof(f438,plain,
    ! [X0,X1] :
      ( neq(X0,X1)
      | X0 = X1
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f316]) ).

fof(f440,plain,
    ssList(nil),
    inference(cnf_transformation,[],[f17]) ).

fof(f452,plain,
    ! [X0,X1] :
      ( ssList(app(X0,X1))
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f132]) ).

fof(f454,plain,
    ! [X0] :
      ( app(nil,X0) = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f134]) ).

fof(f531,plain,
    ! [X0,X1] :
      ( nil = X0
      | nil != app(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f340]) ).

fof(f533,plain,
    ! [X0] :
      ( app(X0,nil) = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f201]) ).

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

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

fof(f551,plain,
    sK55 = app(sK56,sK56),
    inference(cnf_transformation,[],[f347]) ).

fof(f552,plain,
    sK54 = sK56,
    inference(cnf_transformation,[],[f347]) ).

fof(f553,plain,
    sK53 = sK55,
    inference(cnf_transformation,[],[f347]) ).

fof(f554,plain,
    ! [X4] :
      ( ~ segmentP(sK53,X4)
      | ~ segmentP(sK54,X4)
      | ~ neq(X4,nil)
      | ~ ssList(X4) ),
    inference(cnf_transformation,[],[f347]) ).

fof(f555,plain,
    ( nil != sK53
    | nil != sK54 ),
    inference(cnf_transformation,[],[f347]) ).

fof(f556,plain,
    ( nil != sK55
    | nil != sK56 ),
    inference(definition_unfolding,[],[f555,f553,f552]) ).

fof(f557,plain,
    ! [X4] :
      ( ~ segmentP(sK55,X4)
      | ~ segmentP(sK56,X4)
      | ~ neq(X4,nil)
      | ~ ssList(X4) ),
    inference(definition_unfolding,[],[f554,f553,f552]) ).

fof(f558,plain,
    ssList(sK56),
    inference(definition_unfolding,[],[f548,f552]) ).

fof(f559,plain,
    ssList(sK55),
    inference(definition_unfolding,[],[f547,f553]) ).

fof(f565,plain,
    ! [X2,X3,X1] :
      ( segmentP(app(app(X2,X1),X3),X1)
      | ~ ssList(X3)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(app(app(X2,X1),X3)) ),
    inference(equality_resolution,[],[f369]) ).

cnf(c_67,plain,
    ( ~ ssList(app(app(X0,X1),X2))
    | ~ ssList(X0)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | segmentP(app(app(X0,X1),X2),X1) ),
    inference(cnf_transformation,[],[f565]) ).

cnf(c_138,plain,
    ( ~ ssList(X0)
    | ~ ssList(X1)
    | X0 = X1
    | neq(X0,X1) ),
    inference(cnf_transformation,[],[f438]) ).

cnf(c_141,plain,
    ssList(nil),
    inference(cnf_transformation,[],[f440]) ).

cnf(c_153,plain,
    ( ~ ssList(X0)
    | ~ ssList(X1)
    | ssList(app(X0,X1)) ),
    inference(cnf_transformation,[],[f452]) ).

cnf(c_155,plain,
    ( ~ ssList(X0)
    | app(nil,X0) = X0 ),
    inference(cnf_transformation,[],[f454]) ).

cnf(c_229,plain,
    ( ~ ssList(nil)
    | app(nil,nil) = nil ),
    inference(cnf_transformation,[],[f592]) ).

cnf(c_230,plain,
    ( app(X0,X1) != nil
    | ~ ssList(X0)
    | ~ ssList(X1)
    | X0 = nil ),
    inference(cnf_transformation,[],[f531]) ).

cnf(c_232,plain,
    ( ~ ssList(X0)
    | app(X0,nil) = X0 ),
    inference(cnf_transformation,[],[f533]) ).

cnf(c_246,negated_conjecture,
    ( nil != sK55
    | nil != sK56 ),
    inference(cnf_transformation,[],[f556]) ).

cnf(c_247,negated_conjecture,
    ( ~ neq(X0,nil)
    | ~ segmentP(sK55,X0)
    | ~ segmentP(sK56,X0)
    | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f557]) ).

cnf(c_248,negated_conjecture,
    app(sK56,sK56) = sK55,
    inference(cnf_transformation,[],[f551]) ).

cnf(c_251,negated_conjecture,
    ssList(sK56),
    inference(cnf_transformation,[],[f558]) ).

cnf(c_252,negated_conjecture,
    ssList(sK55),
    inference(cnf_transformation,[],[f559]) ).

cnf(c_293,plain,
    ( ~ ssList(nil)
    | app(nil,nil) = nil ),
    inference(instantiation,[status(thm)],[c_232]) ).

cnf(c_365,plain,
    app(nil,nil) = nil,
    inference(global_subsumption_just,[status(thm)],[c_229,c_141,c_293]) ).

cnf(c_3218,plain,
    ( X0 != X1
    | X2 != nil
    | ~ segmentP(sK55,X1)
    | ~ segmentP(sK56,X1)
    | ~ ssList(X0)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | X0 = X2 ),
    inference(resolution_lifted,[status(thm)],[c_138,c_247]) ).

cnf(c_3219,plain,
    ( ~ segmentP(sK55,X0)
    | ~ segmentP(sK56,X0)
    | ~ ssList(X0)
    | ~ ssList(nil)
    | X0 = nil ),
    inference(unflattening,[status(thm)],[c_3218]) ).

cnf(c_3221,plain,
    ( ~ ssList(X0)
    | ~ segmentP(sK56,X0)
    | ~ segmentP(sK55,X0)
    | X0 = nil ),
    inference(global_subsumption_just,[status(thm)],[c_3219,c_141,c_3219]) ).

cnf(c_3222,plain,
    ( ~ segmentP(sK55,X0)
    | ~ segmentP(sK56,X0)
    | ~ ssList(X0)
    | X0 = nil ),
    inference(renaming,[status(thm)],[c_3221]) ).

cnf(c_11996,plain,
    app(nil,sK56) = sK56,
    inference(superposition,[status(thm)],[c_251,c_155]) ).

cnf(c_12079,plain,
    app(sK56,nil) = sK56,
    inference(superposition,[status(thm)],[c_251,c_232]) ).

cnf(c_12080,plain,
    app(sK55,nil) = sK55,
    inference(superposition,[status(thm)],[c_252,c_232]) ).

cnf(c_18125,plain,
    ( nil != sK55
    | ~ ssList(sK56)
    | nil = sK56 ),
    inference(superposition,[status(thm)],[c_248,c_230]) ).

cnf(c_18143,plain,
    ( nil != sK55
    | nil = sK56 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_18125,c_251]) ).

cnf(c_18197,plain,
    nil != sK55,
    inference(global_subsumption_just,[status(thm)],[c_18143,c_246,c_18143]) ).

cnf(c_26078,plain,
    ( ~ ssList(app(app(sK56,sK56),X0))
    | ~ ssList(X0)
    | ~ ssList(sK56)
    | segmentP(app(sK55,X0),sK56) ),
    inference(superposition,[status(thm)],[c_248,c_67]) ).

cnf(c_26081,plain,
    ( ~ ssList(app(app(nil,sK56),X0))
    | ~ ssList(X0)
    | ~ ssList(nil)
    | ~ ssList(sK56)
    | segmentP(app(sK56,X0),sK56) ),
    inference(superposition,[status(thm)],[c_11996,c_67]) ).

cnf(c_26123,plain,
    ( ~ ssList(app(sK55,X0))
    | ~ ssList(X0)
    | ~ ssList(sK56)
    | segmentP(app(sK55,X0),sK56) ),
    inference(light_normalisation,[status(thm)],[c_26078,c_248]) ).

cnf(c_26124,plain,
    ( ~ ssList(app(sK55,X0))
    | ~ ssList(X0)
    | segmentP(app(sK55,X0),sK56) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_26123,c_251]) ).

cnf(c_26148,plain,
    ( ~ ssList(app(sK56,X0))
    | ~ ssList(X0)
    | ~ ssList(nil)
    | ~ ssList(sK56)
    | segmentP(app(sK56,X0),sK56) ),
    inference(light_normalisation,[status(thm)],[c_26081,c_11996]) ).

cnf(c_26149,plain,
    ( ~ ssList(app(sK56,X0))
    | ~ ssList(X0)
    | segmentP(app(sK56,X0),sK56) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_26148,c_251,c_141]) ).

cnf(c_27023,plain,
    ( ~ ssList(X0)
    | ~ ssList(sK55)
    | ssList(app(sK55,X0)) ),
    inference(instantiation,[status(thm)],[c_153]) ).

cnf(c_27239,plain,
    ( ~ ssList(X0)
    | segmentP(app(sK55,X0),sK56) ),
    inference(global_subsumption_just,[status(thm)],[c_26124,c_252,c_26124,c_27023]) ).

cnf(c_27246,plain,
    ( ~ ssList(nil)
    | segmentP(sK55,sK56) ),
    inference(superposition,[status(thm)],[c_12080,c_27239]) ).

cnf(c_27251,plain,
    segmentP(sK55,sK56),
    inference(forward_subsumption_resolution,[status(thm)],[c_27246,c_141]) ).

cnf(c_27337,plain,
    ( ~ ssList(app(sK56,nil))
    | ~ ssList(nil)
    | segmentP(sK56,sK56) ),
    inference(superposition,[status(thm)],[c_12079,c_26149]) ).

cnf(c_27343,plain,
    ( ~ ssList(nil)
    | ~ ssList(sK56)
    | segmentP(sK56,sK56) ),
    inference(light_normalisation,[status(thm)],[c_27337,c_12079]) ).

cnf(c_27344,plain,
    segmentP(sK56,sK56),
    inference(forward_subsumption_resolution,[status(thm)],[c_27343,c_251,c_141]) ).

cnf(c_27990,plain,
    ( ~ segmentP(sK56,sK56)
    | ~ ssList(sK56)
    | nil = sK56 ),
    inference(superposition,[status(thm)],[c_27251,c_3222]) ).

cnf(c_27991,plain,
    nil = sK56,
    inference(forward_subsumption_resolution,[status(thm)],[c_27990,c_251,c_27344]) ).

cnf(c_28062,plain,
    app(nil,nil) = sK55,
    inference(demodulation,[status(thm)],[c_248,c_27991]) ).

cnf(c_28066,plain,
    nil = sK55,
    inference(light_normalisation,[status(thm)],[c_28062,c_365]) ).

cnf(c_28067,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_28066,c_18197]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem  : SWC068+1 : TPTP v8.1.2. Released v2.4.0.
% 0.08/0.15  % Command  : run_iprover %s %d THM
% 0.14/0.37  % Computer : n017.cluster.edu
% 0.14/0.37  % Model    : x86_64 x86_64
% 0.14/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37  % Memory   : 8042.1875MB
% 0.14/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37  % CPULimit : 300
% 0.14/0.37  % WCLimit  : 300
% 0.14/0.37  % DateTime : Mon Aug 28 16:43:13 EDT 2023
% 0.14/0.37  % CPUTime  : 
% 0.22/0.52  Running first-order theorem proving
% 0.22/0.52  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 7.51/1.72  % SZS status Started for theBenchmark.p
% 7.51/1.72  % SZS status Theorem for theBenchmark.p
% 7.51/1.72  
% 7.51/1.72  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 7.51/1.72  
% 7.51/1.72  ------  iProver source info
% 7.51/1.72  
% 7.51/1.72  git: date: 2023-05-31 18:12:56 +0000
% 7.51/1.72  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 7.51/1.72  git: non_committed_changes: false
% 7.51/1.72  git: last_make_outside_of_git: false
% 7.51/1.72  
% 7.51/1.72  ------ Parsing...
% 7.51/1.72  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 7.51/1.72  
% 7.51/1.72  ------ 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: 5 0s  sf_e  pe_s  pe_e 
% 7.51/1.72  
% 7.51/1.72  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 7.51/1.72  
% 7.51/1.72  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 7.51/1.72  ------ Proving...
% 7.51/1.72  ------ Problem Properties 
% 7.51/1.72  
% 7.51/1.72  
% 7.51/1.72  clauses                                 185
% 7.51/1.72  conjectures                             4
% 7.51/1.72  EPR                                     53
% 7.51/1.72  Horn                                    117
% 7.51/1.72  unary                                   19
% 7.51/1.72  binary                                  41
% 7.51/1.72  lits                                    627
% 7.51/1.72  lits eq                                 82
% 7.51/1.72  fd_pure                                 0
% 7.51/1.72  fd_pseudo                               0
% 7.51/1.72  fd_cond                                 22
% 7.51/1.72  fd_pseudo_cond                          14
% 7.51/1.72  AC symbols                              0
% 7.51/1.72  
% 7.51/1.72  ------ Schedule dynamic 5 is on 
% 7.51/1.72  
% 7.51/1.72  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.51/1.72  
% 7.51/1.72  
% 7.51/1.72  ------ 
% 7.51/1.72  Current options:
% 7.51/1.72  ------ 
% 7.51/1.72  
% 7.51/1.72  
% 7.51/1.72  
% 7.51/1.72  
% 7.51/1.72  ------ Proving...
% 7.51/1.72  
% 7.51/1.72  
% 7.51/1.72  % SZS status Theorem for theBenchmark.p
% 7.51/1.72  
% 7.51/1.72  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.51/1.73  
% 7.51/1.73  
%------------------------------------------------------------------------------