TSTP Solution File: SWC108+1 by iProver---3.9

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%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SWC108+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n007.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 : Fri May  3 03:11:15 EDT 2024

% Result   : Theorem 17.98s 3.10s
% Output   : CNFRefutation 17.98s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f596)

% Comments : 
%------------------------------------------------------------------------------
fof(f6,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( rearsegP(X0,X1)
          <=> ? [X2] :
                ( app(X2,X1) = X0
                & ssList(X2) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).

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

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)
                 => ( ( ( ~ rearsegP(X3,X2)
                        | ~ neq(X2,nil) )
                      & ( nil != X2
                        | nil != X3 ) )
                    | ( ( ( segmentP(X1,X0)
                          & neq(X0,nil) )
                        | ~ neq(X1,nil) )
                      & ( nil = X0
                        | nil != X1 ) )
                    | X0 != X2
                    | X1 != X3 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

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

fof(f102,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( rearsegP(X0,X1)
          <=> ? [X2] :
                ( app(X2,X1) = X0
                & ssList(X2) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f6]) ).

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(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] :
                  ( ( ( rearsegP(X3,X2)
                      & neq(X2,nil) )
                    | ( nil = X2
                      & nil = X3 ) )
                  & ( ( ( ~ segmentP(X1,X0)
                        | ~ neq(X0,nil) )
                      & neq(X1,nil) )
                    | ( nil != X0
                      & nil = X1 ) )
                  & X0 = X2
                  & X1 = X3
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(ennf_transformation,[],[f97]) ).

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

fof(f249,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( rearsegP(X0,X1)
              | ! [X2] :
                  ( app(X2,X1) != X0
                  | ~ ssList(X2) ) )
            & ( ? [X2] :
                  ( app(X2,X1) = X0
                  & ssList(X2) )
              | ~ rearsegP(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f102]) ).

fof(f250,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( rearsegP(X0,X1)
              | ! [X2] :
                  ( app(X2,X1) != X0
                  | ~ ssList(X2) ) )
            & ( ? [X3] :
                  ( app(X3,X1) = X0
                  & ssList(X3) )
              | ~ rearsegP(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(rectify,[],[f249]) ).

fof(f251,plain,
    ! [X0,X1] :
      ( ? [X3] :
          ( app(X3,X1) = X0
          & ssList(X3) )
     => ( app(sK12(X0,X1),X1) = X0
        & ssList(sK12(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f252,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( rearsegP(X0,X1)
              | ! [X2] :
                  ( app(X2,X1) != X0
                  | ~ ssList(X2) ) )
            & ( ( app(sK12(X0,X1),X1) = X0
                & ssList(sK12(X0,X1)) )
              | ~ rearsegP(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f250,f251]) ).

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

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

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

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

fof(f347,plain,
    ( ( ( rearsegP(sK56,sK55)
        & neq(sK55,nil) )
      | ( nil = sK55
        & nil = sK56 ) )
    & ( ( ( ~ segmentP(sK54,sK53)
          | ~ neq(sK53,nil) )
        & neq(sK54,nil) )
      | ( nil != sK53
        & nil = sK54 ) )
    & 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(f363,plain,
    ! [X0,X1] :
      ( ssList(sK12(X0,X1))
      | ~ rearsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f252]) ).

fof(f364,plain,
    ! [X0,X1] :
      ( app(sK12(X0,X1),X1) = X0
      | ~ rearsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f252]) ).

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

fof(f530,plain,
    ! [X0,X1] :
      ( nil = X1
      | 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,
    sK54 = sK56,
    inference(cnf_transformation,[],[f347]) ).

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

fof(f554,plain,
    ( neq(sK54,nil)
    | nil != sK53 ),
    inference(cnf_transformation,[],[f347]) ).

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

fof(f557,plain,
    ( neq(sK55,nil)
    | nil = sK56 ),
    inference(cnf_transformation,[],[f347]) ).

fof(f558,plain,
    ( neq(sK55,nil)
    | nil = sK55 ),
    inference(cnf_transformation,[],[f347]) ).

fof(f559,plain,
    ( rearsegP(sK56,sK55)
    | nil = sK56 ),
    inference(cnf_transformation,[],[f347]) ).

fof(f560,plain,
    ( rearsegP(sK56,sK55)
    | nil = sK55 ),
    inference(cnf_transformation,[],[f347]) ).

fof(f562,plain,
    ( ~ segmentP(sK56,sK55)
    | ~ neq(sK55,nil)
    | nil = sK56 ),
    inference(definition_unfolding,[],[f555,f551,f552,f552,f551]) ).

fof(f563,plain,
    ( neq(sK56,nil)
    | nil != sK55 ),
    inference(definition_unfolding,[],[f554,f551,f552]) ).

fof(f565,plain,
    ssList(sK56),
    inference(definition_unfolding,[],[f548,f551]) ).

fof(f566,plain,
    ssList(sK55),
    inference(definition_unfolding,[],[f547,f552]) ).

fof(f572,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_65,plain,
    ( ~ rearsegP(X0,X1)
    | ~ ssList(X0)
    | ~ ssList(X1)
    | app(sK12(X0,X1),X1) = X0 ),
    inference(cnf_transformation,[],[f364]) ).

cnf(c_66,plain,
    ( ~ rearsegP(X0,X1)
    | ~ ssList(X0)
    | ~ ssList(X1)
    | ssList(sK12(X0,X1)) ),
    inference(cnf_transformation,[],[f363]) ).

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,[],[f572]) ).

cnf(c_139,plain,
    ( ~ neq(X0,X0)
    | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f596]) ).

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

cnf(c_231,plain,
    ( app(X0,X1) != nil
    | ~ ssList(X0)
    | ~ ssList(X1)
    | X1 = nil ),
    inference(cnf_transformation,[],[f530]) ).

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

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

cnf(c_247,negated_conjecture,
    ( nil = sK56
    | rearsegP(sK56,sK55) ),
    inference(cnf_transformation,[],[f559]) ).

cnf(c_248,negated_conjecture,
    ( nil = sK55
    | neq(sK55,nil) ),
    inference(cnf_transformation,[],[f558]) ).

cnf(c_249,negated_conjecture,
    ( nil = sK56
    | neq(sK55,nil) ),
    inference(cnf_transformation,[],[f557]) ).

cnf(c_251,negated_conjecture,
    ( ~ neq(sK55,nil)
    | ~ segmentP(sK56,sK55)
    | nil = sK56 ),
    inference(cnf_transformation,[],[f562]) ).

cnf(c_252,negated_conjecture,
    ( nil != sK55
    | neq(sK56,nil) ),
    inference(cnf_transformation,[],[f563]) ).

cnf(c_256,negated_conjecture,
    ssList(sK56),
    inference(cnf_transformation,[],[f565]) ).

cnf(c_257,negated_conjecture,
    ssList(sK55),
    inference(cnf_transformation,[],[f566]) ).

cnf(c_3286,plain,
    ( X0 != nil
    | X0 != sK55
    | ~ ssList(X0)
    | nil = sK56 ),
    inference(resolution_lifted,[status(thm)],[c_139,c_249]) ).

cnf(c_3287,plain,
    ( nil != sK55
    | ~ ssList(nil)
    | nil = sK56 ),
    inference(unflattening,[status(thm)],[c_3286]) ).

cnf(c_3288,plain,
    ( nil != sK55
    | nil = sK56 ),
    inference(global_subsumption_just,[status(thm)],[c_3287,c_141,c_3287]) ).

cnf(c_3306,plain,
    ( X0 != nil
    | X0 != sK56
    | nil != sK55
    | ~ ssList(X0) ),
    inference(resolution_lifted,[status(thm)],[c_139,c_252]) ).

cnf(c_3307,plain,
    ( nil != sK56
    | nil != sK55
    | ~ ssList(nil) ),
    inference(unflattening,[status(thm)],[c_3306]) ).

cnf(c_3308,plain,
    nil != sK55,
    inference(global_subsumption_just,[status(thm)],[c_3307,c_141,c_3288,c_3307]) ).

cnf(c_4874,negated_conjecture,
    rearsegP(sK56,sK55),
    inference(global_subsumption_just,[status(thm)],[c_247,c_246,c_3308]) ).

cnf(c_12944,negated_conjecture,
    rearsegP(sK56,sK55),
    inference(demodulation,[status(thm)],[c_4874]) ).

cnf(c_12946,negated_conjecture,
    ssList(sK55),
    inference(demodulation,[status(thm)],[c_257]) ).

cnf(c_12947,negated_conjecture,
    ssList(sK56),
    inference(demodulation,[status(thm)],[c_256]) ).

cnf(c_16150,plain,
    app(sK56,nil) = sK56,
    inference(superposition,[status(thm)],[c_12947,c_232]) ).

cnf(c_21826,plain,
    ( ~ ssList(sK56)
    | ~ ssList(sK55)
    | app(sK12(sK56,sK55),sK55) = sK56 ),
    inference(superposition,[status(thm)],[c_12944,c_65]) ).

cnf(c_21838,plain,
    app(sK12(sK56,sK55),sK55) = sK56,
    inference(forward_subsumption_resolution,[status(thm)],[c_21826,c_12946,c_12947]) ).

cnf(c_22113,plain,
    ( nil != sK56
    | ~ ssList(sK12(sK56,sK55))
    | ~ ssList(sK55)
    | nil = sK55 ),
    inference(superposition,[status(thm)],[c_21838,c_231]) ).

cnf(c_22127,plain,
    ( nil != sK56
    | ~ ssList(sK12(sK56,sK55)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_22113,c_3308,c_12946]) ).

cnf(c_30269,plain,
    ( ~ ssList(app(app(sK12(sK56,sK55),sK55),X0))
    | ~ ssList(sK12(sK56,sK55))
    | ~ ssList(X0)
    | ~ ssList(sK55)
    | segmentP(app(sK56,X0),sK55) ),
    inference(superposition,[status(thm)],[c_21838,c_67]) ).

cnf(c_30346,plain,
    ( ~ ssList(app(sK56,X0))
    | ~ ssList(sK12(sK56,sK55))
    | ~ ssList(X0)
    | ~ ssList(sK55)
    | segmentP(app(sK56,X0),sK55) ),
    inference(light_normalisation,[status(thm)],[c_30269,c_21838]) ).

cnf(c_30347,plain,
    ( ~ ssList(app(sK56,X0))
    | ~ ssList(sK12(sK56,sK55))
    | ~ ssList(X0)
    | segmentP(app(sK56,X0),sK55) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_30346,c_12946]) ).

cnf(c_46782,plain,
    ( ~ ssList(app(sK56,nil))
    | ~ ssList(sK12(sK56,sK55))
    | ~ ssList(nil)
    | segmentP(sK56,sK55) ),
    inference(superposition,[status(thm)],[c_16150,c_30347]) ).

cnf(c_46786,plain,
    ( ~ ssList(sK12(sK56,sK55))
    | ~ ssList(nil)
    | ~ ssList(sK56)
    | segmentP(sK56,sK55) ),
    inference(light_normalisation,[status(thm)],[c_46782,c_16150]) ).

cnf(c_46787,plain,
    ( ~ ssList(sK12(sK56,sK55))
    | segmentP(sK56,sK55) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_46786,c_12947,c_141]) ).

cnf(c_46811,plain,
    ~ ssList(sK12(sK56,sK55)),
    inference(global_subsumption_just,[status(thm)],[c_46787,c_248,c_251,c_3308,c_22127,c_46787]) ).

cnf(c_46813,plain,
    ( ~ rearsegP(sK56,sK55)
    | ~ ssList(sK56)
    | ~ ssList(sK55) ),
    inference(superposition,[status(thm)],[c_66,c_46811]) ).

cnf(c_46814,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_46813,c_12946,c_12947,c_12944]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07  % Problem  : SWC108+1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.07  % Command  : run_iprover %s %d THM
% 0.06/0.26  % Computer : n007.cluster.edu
% 0.06/0.26  % Model    : x86_64 x86_64
% 0.06/0.26  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.26  % Memory   : 8042.1875MB
% 0.06/0.26  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.06/0.26  % CPULimit : 300
% 0.06/0.26  % WCLimit  : 300
% 0.06/0.26  % DateTime : Thu May  2 23:26:05 EDT 2024
% 0.06/0.26  % CPUTime  : 
% 0.11/0.38  Running first-order theorem proving
% 0.11/0.38  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 17.98/3.10  % SZS status Started for theBenchmark.p
% 17.98/3.10  % SZS status Theorem for theBenchmark.p
% 17.98/3.10  
% 17.98/3.10  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 17.98/3.10  
% 17.98/3.10  ------  iProver source info
% 17.98/3.10  
% 17.98/3.10  git: date: 2024-05-02 19:28:25 +0000
% 17.98/3.10  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 17.98/3.10  git: non_committed_changes: false
% 17.98/3.10  
% 17.98/3.10  ------ Parsing...
% 17.98/3.10  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 17.98/3.10  
% 17.98/3.10  ------ 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  sup_sim: 0  sf_s  rm: 5 0s  sf_e  pe_s  pe_e 
% 17.98/3.10  
% 17.98/3.10  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 17.98/3.10  
% 17.98/3.10  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 17.98/3.10  ------ Proving...
% 17.98/3.10  ------ Problem Properties 
% 17.98/3.10  
% 17.98/3.10  
% 17.98/3.10  clauses                                 185
% 17.98/3.10  conjectures                             4
% 17.98/3.10  EPR                                     54
% 17.98/3.10  Horn                                    117
% 17.98/3.10  unary                                   20
% 17.98/3.10  binary                                  41
% 17.98/3.10  lits                                    624
% 17.98/3.10  lits eq                                 80
% 17.98/3.10  fd_pure                                 0
% 17.98/3.10  fd_pseudo                               0
% 17.98/3.10  fd_cond                                 21
% 17.98/3.10  fd_pseudo_cond                          14
% 17.98/3.10  AC symbols                              0
% 17.98/3.10  
% 17.98/3.10  ------ Schedule dynamic 5 is on 
% 17.98/3.10  
% 17.98/3.10  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 17.98/3.10  
% 17.98/3.10  
% 17.98/3.10  ------ 
% 17.98/3.10  Current options:
% 17.98/3.10  ------ 
% 17.98/3.10  
% 17.98/3.10  
% 17.98/3.10  
% 17.98/3.10  
% 17.98/3.10  ------ Proving...
% 17.98/3.10  
% 17.98/3.10  
% 17.98/3.10  % SZS status Theorem for theBenchmark.p
% 17.98/3.10  
% 17.98/3.10  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 17.98/3.11  
% 17.98/3.11  
%------------------------------------------------------------------------------