TSTP Solution File: SWC085+1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SWC085+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n006.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 03:11:10 EDT 2024

% Result   : Theorem 9.92s 2.21s
% Output   : CNFRefutation 9.92s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f592)

% Comments : 
%------------------------------------------------------------------------------
fof(f5,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( frontsegP(X0,X1)
          <=> ? [X2] :
                ( app(X1,X2) = X0
                & ssList(X2) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).

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

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

fof(f101,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( frontsegP(X0,X1)
          <=> ? [X2] :
                ( app(X1,X2) = X0
                & ssList(X2) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f5]) ).

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

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

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

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

fof(f245,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( frontsegP(X0,X1)
              | ! [X2] :
                  ( app(X1,X2) != X0
                  | ~ ssList(X2) ) )
            & ( ? [X2] :
                  ( app(X1,X2) = X0
                  & ssList(X2) )
              | ~ frontsegP(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f101]) ).

fof(f246,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( frontsegP(X0,X1)
              | ! [X2] :
                  ( app(X1,X2) != X0
                  | ~ ssList(X2) ) )
            & ( ? [X3] :
                  ( app(X1,X3) = X0
                  & ssList(X3) )
              | ~ frontsegP(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(rectify,[],[f245]) ).

fof(f247,plain,
    ! [X0,X1] :
      ( ? [X3] :
          ( app(X1,X3) = X0
          & ssList(X3) )
     => ( app(X1,sK11(X0,X1)) = X0
        & ssList(sK11(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f248,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( frontsegP(X0,X1)
              | ! [X2] :
                  ( app(X1,X2) != X0
                  | ~ ssList(X2) ) )
            & ( ( app(X1,sK11(X0,X1)) = X0
                & ssList(sK11(X0,X1)) )
              | ~ frontsegP(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f246,f247]) ).

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

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

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

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

fof(f347,plain,
    ( ( ( frontsegP(sK56,sK55)
        & neq(sK55,nil) )
      | ( nil = sK55
        & nil = sK56 ) )
    & ! [X4] :
        ( ~ segmentP(sK53,X4)
        | ~ segmentP(sK54,X4)
        | ~ neq(X4,nil)
        | ~ ssList(X4) )
    & neq(sK54,nil)
    & 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(f360,plain,
    ! [X0,X1] :
      ( ssList(sK11(X0,X1))
      | ~ frontsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f248]) ).

fof(f361,plain,
    ! [X0,X1] :
      ( app(X1,sK11(X0,X1)) = X0
      | ~ frontsegP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f248]) ).

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

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(f553,plain,
    neq(sK54,nil),
    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,
    ( neq(sK55,nil)
    | nil = sK56 ),
    inference(cnf_transformation,[],[f347]) ).

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

fof(f559,plain,
    ! [X4] :
      ( ~ segmentP(sK55,X4)
      | ~ segmentP(sK56,X4)
      | ~ neq(X4,nil)
      | ~ ssList(X4) ),
    inference(definition_unfolding,[],[f554,f552,f551]) ).

fof(f560,plain,
    neq(sK56,nil),
    inference(definition_unfolding,[],[f553,f551]) ).

fof(f561,plain,
    ssList(sK56),
    inference(definition_unfolding,[],[f548,f551]) ).

fof(f562,plain,
    ssList(sK55),
    inference(definition_unfolding,[],[f547,f552]) ).

fof(f568,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_62,plain,
    ( ~ frontsegP(X0,X1)
    | ~ ssList(X0)
    | ~ ssList(X1)
    | app(X1,sK11(X0,X1)) = X0 ),
    inference(cnf_transformation,[],[f361]) ).

cnf(c_63,plain,
    ( ~ frontsegP(X0,X1)
    | ~ ssList(X0)
    | ~ ssList(X1)
    | ssList(sK11(X0,X1)) ),
    inference(cnf_transformation,[],[f360]) ).

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,[],[f568]) ).

cnf(c_139,plain,
    ( ~ neq(X0,X0)
    | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f592]) ).

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

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

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

cnf(c_247,negated_conjecture,
    ( nil = sK56
    | frontsegP(sK56,sK55) ),
    inference(cnf_transformation,[],[f557]) ).

cnf(c_249,negated_conjecture,
    ( nil = sK56
    | neq(sK55,nil) ),
    inference(cnf_transformation,[],[f555]) ).

cnf(c_250,negated_conjecture,
    ( ~ neq(X0,nil)
    | ~ segmentP(sK56,X0)
    | ~ segmentP(sK55,X0)
    | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f559]) ).

cnf(c_251,negated_conjecture,
    neq(sK56,nil),
    inference(cnf_transformation,[],[f560]) ).

cnf(c_254,negated_conjecture,
    ssList(sK56),
    inference(cnf_transformation,[],[f561]) ).

cnf(c_255,negated_conjecture,
    ssList(sK55),
    inference(cnf_transformation,[],[f562]) ).

cnf(c_3285,plain,
    ( X0 != nil
    | X0 != sK56
    | ~ ssList(X0) ),
    inference(resolution_lifted,[status(thm)],[c_139,c_251]) ).

cnf(c_3286,plain,
    ( nil != sK56
    | ~ ssList(nil) ),
    inference(unflattening,[status(thm)],[c_3285]) ).

cnf(c_3287,plain,
    nil != sK56,
    inference(global_subsumption_just,[status(thm)],[c_3286,c_141,c_3286]) ).

cnf(c_3295,plain,
    ( X0 != sK55
    | nil != nil
    | ~ segmentP(sK56,X0)
    | ~ segmentP(sK55,X0)
    | ~ ssList(X0)
    | nil = sK56 ),
    inference(resolution_lifted,[status(thm)],[c_249,c_250]) ).

cnf(c_3296,plain,
    ( ~ segmentP(sK56,sK55)
    | ~ segmentP(sK55,sK55)
    | ~ ssList(sK55)
    | nil = sK56 ),
    inference(unflattening,[status(thm)],[c_3295]) ).

cnf(c_3297,plain,
    ( ~ segmentP(sK56,sK55)
    | ~ segmentP(sK55,sK55) ),
    inference(global_subsumption_just,[status(thm)],[c_3296,c_255,c_141,c_3286,c_3296]) ).

cnf(c_3322,plain,
    frontsegP(sK56,sK55),
    inference(backward_subsumption_resolution,[status(thm)],[c_247,c_3287]) ).

cnf(c_8942,negated_conjecture,
    ssList(sK55),
    inference(demodulation,[status(thm)],[c_255]) ).

cnf(c_8943,negated_conjecture,
    ssList(sK56),
    inference(demodulation,[status(thm)],[c_254]) ).

cnf(c_12109,plain,
    app(nil,sK55) = sK55,
    inference(superposition,[status(thm)],[c_8942,c_155]) ).

cnf(c_12191,plain,
    app(sK55,nil) = sK55,
    inference(superposition,[status(thm)],[c_8942,c_232]) ).

cnf(c_17138,plain,
    ( ~ ssList(sK56)
    | ~ ssList(sK55)
    | app(sK55,sK11(sK56,sK55)) = sK56 ),
    inference(superposition,[status(thm)],[c_3322,c_62]) ).

cnf(c_17150,plain,
    app(sK55,sK11(sK56,sK55)) = sK56,
    inference(forward_subsumption_resolution,[status(thm)],[c_17138,c_8942,c_8943]) ).

cnf(c_24702,plain,
    ( ~ ssList(app(app(nil,sK55),X0))
    | ~ ssList(X0)
    | ~ ssList(nil)
    | ~ ssList(sK55)
    | segmentP(app(sK55,X0),sK55) ),
    inference(superposition,[status(thm)],[c_12109,c_67]) ).

cnf(c_24766,plain,
    ( ~ ssList(app(sK55,X0))
    | ~ ssList(X0)
    | ~ ssList(nil)
    | ~ ssList(sK55)
    | segmentP(app(sK55,X0),sK55) ),
    inference(light_normalisation,[status(thm)],[c_24702,c_12109]) ).

cnf(c_24767,plain,
    ( ~ ssList(app(sK55,X0))
    | ~ ssList(X0)
    | segmentP(app(sK55,X0),sK55) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_24766,c_8942,c_141]) ).

cnf(c_25276,plain,
    ( ~ ssList(app(sK55,nil))
    | ~ ssList(nil)
    | segmentP(sK55,sK55) ),
    inference(superposition,[status(thm)],[c_12191,c_24767]) ).

cnf(c_25277,plain,
    ( ~ ssList(app(sK55,sK11(sK56,sK55)))
    | ~ ssList(sK11(sK56,sK55))
    | segmentP(sK56,sK55) ),
    inference(superposition,[status(thm)],[c_17150,c_24767]) ).

cnf(c_25282,plain,
    ( ~ ssList(nil)
    | ~ ssList(sK55)
    | segmentP(sK55,sK55) ),
    inference(light_normalisation,[status(thm)],[c_25276,c_12191]) ).

cnf(c_25283,plain,
    segmentP(sK55,sK55),
    inference(forward_subsumption_resolution,[status(thm)],[c_25282,c_8942,c_141]) ).

cnf(c_25284,plain,
    ( ~ ssList(sK11(sK56,sK55))
    | ~ ssList(sK56)
    | segmentP(sK56,sK55) ),
    inference(light_normalisation,[status(thm)],[c_25277,c_17150]) ).

cnf(c_25285,plain,
    ( ~ ssList(sK11(sK56,sK55))
    | segmentP(sK56,sK55) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_25284,c_8943]) ).

cnf(c_25303,plain,
    ~ segmentP(sK56,sK55),
    inference(backward_subsumption_resolution,[status(thm)],[c_3297,c_25283]) ).

cnf(c_25304,plain,
    ~ ssList(sK11(sK56,sK55)),
    inference(backward_subsumption_resolution,[status(thm)],[c_25285,c_25303]) ).

cnf(c_26258,plain,
    ( ~ frontsegP(sK56,sK55)
    | ~ ssList(sK56)
    | ~ ssList(sK55) ),
    inference(superposition,[status(thm)],[c_63,c_25304]) ).

cnf(c_26259,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_26258,c_8942,c_8943,c_3322]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : SWC085+1 : TPTP v8.1.2. Released v2.4.0.
% 0.03/0.14  % Command  : run_iprover %s %d THM
% 0.13/0.35  % Computer : n006.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Thu May  2 23:32:49 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.21/0.48  Running first-order theorem proving
% 0.21/0.48  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
% 9.92/2.21  % SZS status Started for theBenchmark.p
% 9.92/2.21  % SZS status Theorem for theBenchmark.p
% 9.92/2.21  
% 9.92/2.21  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 9.92/2.21  
% 9.92/2.21  ------  iProver source info
% 9.92/2.21  
% 9.92/2.21  git: date: 2024-05-02 19:28:25 +0000
% 9.92/2.21  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 9.92/2.21  git: non_committed_changes: false
% 9.92/2.21  
% 9.92/2.21  ------ Parsing...
% 9.92/2.21  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 9.92/2.21  
% 9.92/2.21  ------ 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 
% 9.92/2.21  
% 9.92/2.21  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 9.92/2.21  
% 9.92/2.21  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 9.92/2.21  ------ Proving...
% 9.92/2.21  ------ Problem Properties 
% 9.92/2.21  
% 9.92/2.21  
% 9.92/2.21  clauses                                 188
% 9.92/2.21  conjectures                             2
% 9.92/2.21  EPR                                     57
% 9.92/2.21  Horn                                    120
% 9.92/2.21  unary                                   21
% 9.92/2.21  binary                                  42
% 9.92/2.21  lits                                    631
% 9.92/2.21  lits eq                                 81
% 9.92/2.21  fd_pure                                 0
% 9.92/2.21  fd_pseudo                               0
% 9.92/2.21  fd_cond                                 22
% 9.92/2.21  fd_pseudo_cond                          14
% 9.92/2.21  AC symbols                              0
% 9.92/2.21  
% 9.92/2.21  ------ Schedule dynamic 5 is on 
% 9.92/2.21  
% 9.92/2.21  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 9.92/2.21  
% 9.92/2.21  
% 9.92/2.21  ------ 
% 9.92/2.21  Current options:
% 9.92/2.21  ------ 
% 9.92/2.21  
% 9.92/2.21  
% 9.92/2.21  
% 9.92/2.21  
% 9.92/2.21  ------ Proving...
% 9.92/2.21  
% 9.92/2.21  
% 9.92/2.21  % SZS status Theorem for theBenchmark.p
% 9.92/2.21  
% 9.92/2.21  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 9.92/2.21  
% 9.92/2.21  
%------------------------------------------------------------------------------