TSTP Solution File: SWC315+1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SWC315+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n020.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 03:11:58 EDT 2024

% Result   : Theorem 19.78s 3.66s
% Output   : CNFRefutation 20.73s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
fof(f5,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( frontsegP(X0,X1)
          <=> ? [X2] :
                ( app(X1,X2) = X0
                & ssList(X2) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).

fof(f15,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( neq(X0,X1)
          <=> X0 != X1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).

fof(f16,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssItem(X1)
         => ssList(cons(X1,X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).

fof(f17,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).

fof(f18,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssItem(X1)
         => cons(X1,X0) != X0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax18) ).

fof(f26,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ssList(app(X0,X1)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax26) ).

fof(f27,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssItem(X2)
             => cons(X2,app(X1,X0)) = app(cons(X2,X1),X0) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax27) ).

fof(f28,axiom,
    ! [X0] :
      ( ssList(X0)
     => app(nil,X0) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax28) ).

fof(f44,axiom,
    ! [X0] :
      ( ssItem(X0)
     => ! [X1] :
          ( ssItem(X1)
         => ! [X2] :
              ( ssList(X2)
             => ! [X3] :
                  ( ssList(X3)
                 => ( frontsegP(cons(X0,X2),cons(X1,X3))
                  <=> ( frontsegP(X2,X3)
                      & X0 = X1 ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax44) ).

fof(f80,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ( app(X1,X2) = app(X1,X0)
               => X0 = X2 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax80) ).

fof(f83,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( nil = app(X0,X1)
          <=> ( nil = X0
              & nil = X1 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax83) ).

fof(f96,conjecture,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ! [X3] :
                  ( ( neq(X3,nil)
                    & ! [X6] :
                        ( ssItem(X6)
                       => ! [X7] :
                            ( app(X7,cons(X6,nil)) != X2
                            | app(cons(X6,nil),X7) != X3
                            | ~ ssList(X7) ) ) )
                  | ( ( nil = X0
                      | nil != X1 )
                    & ! [X4] :
                        ( ssItem(X4)
                       => ! [X5] :
                            ( app(X5,cons(X4,nil)) = X0
                            | app(cons(X4,nil),X5) != X1
                            | ~ ssList(X5) ) ) )
                  | ( nil = X3
                    & nil != X2 )
                  | X0 != X2
                  | X1 != X3
                  | ~ ssList(X3) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f97,negated_conjecture,
    ~ ! [X0] :
        ( ssList(X0)
       => ! [X1] :
            ( ssList(X1)
           => ! [X2] :
                ( ssList(X2)
               => ! [X3] :
                    ( ( neq(X3,nil)
                      & ! [X6] :
                          ( ssItem(X6)
                         => ! [X7] :
                              ( app(X7,cons(X6,nil)) != X2
                              | app(cons(X6,nil),X7) != X3
                              | ~ ssList(X7) ) ) )
                    | ( ( nil = X0
                        | nil != X1 )
                      & ! [X4] :
                          ( ssItem(X4)
                         => ! [X5] :
                              ( app(X5,cons(X4,nil)) = X0
                              | app(cons(X4,nil),X5) != X1
                              | ~ ssList(X5) ) ) )
                    | ( nil = X3
                      & nil != X2 )
                    | X0 != X2
                    | X1 != X3
                    | ~ ssList(X3) ) ) ) ),
    inference(negated_conjecture,[],[f96]) ).

fof(f98,plain,
    ~ ! [X0] :
        ( ssList(X0)
       => ! [X1] :
            ( ssList(X1)
           => ! [X2] :
                ( ssList(X2)
               => ! [X3] :
                    ( ( neq(X3,nil)
                      & ! [X4] :
                          ( ssItem(X4)
                         => ! [X5] :
                              ( app(X5,cons(X4,nil)) != X2
                              | app(cons(X4,nil),X5) != X3
                              | ~ ssList(X5) ) ) )
                    | ( ( nil = X0
                        | nil != X1 )
                      & ! [X6] :
                          ( ssItem(X6)
                         => ! [X7] :
                              ( app(X7,cons(X6,nil)) = X0
                              | app(cons(X6,nil),X7) != X1
                              | ~ ssList(X7) ) ) )
                    | ( nil = X3
                      & nil != X2 )
                    | X0 != X2
                    | X1 != X3
                    | ~ ssList(X3) ) ) ) ),
    inference(rectify,[],[f97]) ).

fof(f102,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( frontsegP(X0,X1)
          <=> ? [X2] :
                ( app(X1,X2) = X0
                & ssList(X2) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f119,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( neq(X0,X1)
          <=> X0 != X1 )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f120,plain,
    ! [X0] :
      ( ! [X1] :
          ( ssList(cons(X1,X0))
          | ~ ssItem(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f121,plain,
    ! [X0] :
      ( ! [X1] :
          ( cons(X1,X0) != X0
          | ~ ssItem(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f18]) ).

fof(f133,plain,
    ! [X0] :
      ( ! [X1] :
          ( ssList(app(X0,X1))
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f26]) ).

fof(f134,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( cons(X2,app(X1,X0)) = app(cons(X2,X1),X0)
              | ~ ssItem(X2) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f27]) ).

fof(f135,plain,
    ! [X0] :
      ( app(nil,X0) = X0
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f28]) ).

fof(f157,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( ( frontsegP(cons(X0,X2),cons(X1,X3))
                  <=> ( frontsegP(X2,X3)
                      & X0 = X1 ) )
                  | ~ ssList(X3) )
              | ~ ssList(X2) )
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f44]) ).

fof(f197,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( X0 = X2
              | app(X1,X2) != app(X1,X0)
              | ~ ssList(X2) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f80]) ).

fof(f198,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( X0 = X2
              | app(X1,X2) != app(X1,X0)
              | ~ ssList(X2) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(flattening,[],[f197]) ).

fof(f201,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( nil = app(X0,X1)
          <=> ( nil = X0
              & nil = X1 ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f83]) ).

fof(f222,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( ~ neq(X3,nil)
                    | ? [X4] :
                        ( ? [X5] :
                            ( app(X5,cons(X4,nil)) = X2
                            & app(cons(X4,nil),X5) = X3
                            & ssList(X5) )
                        & ssItem(X4) ) )
                  & ( ( nil != X0
                      & nil = X1 )
                    | ? [X6] :
                        ( ? [X7] :
                            ( app(X7,cons(X6,nil)) != X0
                            & app(cons(X6,nil),X7) = X1
                            & ssList(X7) )
                        & ssItem(X6) ) )
                  & ( nil != X3
                    | nil = X2 )
                  & X0 = X2
                  & X1 = X3
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(ennf_transformation,[],[f98]) ).

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,[],[f102]) ).

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(f316,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( neq(X0,X1)
              | X0 = X1 )
            & ( X0 != X1
              | ~ neq(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f119]) ).

fof(f326,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( ( ( frontsegP(cons(X0,X2),cons(X1,X3))
                      | ~ frontsegP(X2,X3)
                      | X0 != X1 )
                    & ( ( frontsegP(X2,X3)
                        & X0 = X1 )
                      | ~ frontsegP(cons(X0,X2),cons(X1,X3)) ) )
                  | ~ ssList(X3) )
              | ~ ssList(X2) )
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(nnf_transformation,[],[f157]) ).

fof(f327,plain,
    ! [X0] :
      ( ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( ( ( frontsegP(cons(X0,X2),cons(X1,X3))
                      | ~ frontsegP(X2,X3)
                      | X0 != X1 )
                    & ( ( frontsegP(X2,X3)
                        & X0 = X1 )
                      | ~ frontsegP(cons(X0,X2),cons(X1,X3)) ) )
                  | ~ ssList(X3) )
              | ~ ssList(X2) )
          | ~ ssItem(X1) )
      | ~ ssItem(X0) ),
    inference(flattening,[],[f326]) ).

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,[],[f201]) ).

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] :
                    ( ( ~ neq(X3,nil)
                      | ? [X4] :
                          ( ? [X5] :
                              ( app(X5,cons(X4,nil)) = X2
                              & app(cons(X4,nil),X5) = X3
                              & ssList(X5) )
                          & ssItem(X4) ) )
                    & ( ( nil != X0
                        & nil = X1 )
                      | ? [X6] :
                          ( ? [X7] :
                              ( app(X7,cons(X6,nil)) != X0
                              & app(cons(X6,nil),X7) = X1
                              & ssList(X7) )
                          & ssItem(X6) ) )
                    & ( nil != X3
                      | nil = X2 )
                    & X0 = X2
                    & X1 = X3
                    & ssList(X3) )
                & ssList(X2) )
            & ssList(X1) )
        & ssList(X0) )
   => ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( ~ neq(X3,nil)
                    | ? [X4] :
                        ( ? [X5] :
                            ( app(X5,cons(X4,nil)) = X2
                            & app(cons(X4,nil),X5) = X3
                            & ssList(X5) )
                        & ssItem(X4) ) )
                  & ( ( nil != sK53
                      & nil = X1 )
                    | ? [X6] :
                        ( ? [X7] :
                            ( app(X7,cons(X6,nil)) != sK53
                            & app(cons(X6,nil),X7) = X1
                            & ssList(X7) )
                        & ssItem(X6) ) )
                  & ( nil != X3
                    | nil = X2 )
                  & sK53 = X2
                  & X1 = X3
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(sK53) ) ),
    introduced(choice_axiom,[]) ).

fof(f344,plain,
    ( ? [X1] :
        ( ? [X2] :
            ( ? [X3] :
                ( ( ~ neq(X3,nil)
                  | ? [X4] :
                      ( ? [X5] :
                          ( app(X5,cons(X4,nil)) = X2
                          & app(cons(X4,nil),X5) = X3
                          & ssList(X5) )
                      & ssItem(X4) ) )
                & ( ( nil != sK53
                    & nil = X1 )
                  | ? [X6] :
                      ( ? [X7] :
                          ( app(X7,cons(X6,nil)) != sK53
                          & app(cons(X6,nil),X7) = X1
                          & ssList(X7) )
                      & ssItem(X6) ) )
                & ( nil != X3
                  | nil = X2 )
                & sK53 = X2
                & X1 = X3
                & ssList(X3) )
            & ssList(X2) )
        & ssList(X1) )
   => ( ? [X2] :
          ( ? [X3] :
              ( ( ~ neq(X3,nil)
                | ? [X4] :
                    ( ? [X5] :
                        ( app(X5,cons(X4,nil)) = X2
                        & app(cons(X4,nil),X5) = X3
                        & ssList(X5) )
                    & ssItem(X4) ) )
              & ( ( nil != sK53
                  & nil = sK54 )
                | ? [X6] :
                    ( ? [X7] :
                        ( app(X7,cons(X6,nil)) != sK53
                        & app(cons(X6,nil),X7) = sK54
                        & ssList(X7) )
                    & ssItem(X6) ) )
              & ( nil != X3
                | nil = X2 )
              & sK53 = X2
              & sK54 = X3
              & ssList(X3) )
          & ssList(X2) )
      & ssList(sK54) ) ),
    introduced(choice_axiom,[]) ).

fof(f345,plain,
    ( ? [X2] :
        ( ? [X3] :
            ( ( ~ neq(X3,nil)
              | ? [X4] :
                  ( ? [X5] :
                      ( app(X5,cons(X4,nil)) = X2
                      & app(cons(X4,nil),X5) = X3
                      & ssList(X5) )
                  & ssItem(X4) ) )
            & ( ( nil != sK53
                & nil = sK54 )
              | ? [X6] :
                  ( ? [X7] :
                      ( app(X7,cons(X6,nil)) != sK53
                      & app(cons(X6,nil),X7) = sK54
                      & ssList(X7) )
                  & ssItem(X6) ) )
            & ( nil != X3
              | nil = X2 )
            & sK53 = X2
            & sK54 = X3
            & ssList(X3) )
        & ssList(X2) )
   => ( ? [X3] :
          ( ( ~ neq(X3,nil)
            | ? [X4] :
                ( ? [X5] :
                    ( app(X5,cons(X4,nil)) = sK55
                    & app(cons(X4,nil),X5) = X3
                    & ssList(X5) )
                & ssItem(X4) ) )
          & ( ( nil != sK53
              & nil = sK54 )
            | ? [X6] :
                ( ? [X7] :
                    ( app(X7,cons(X6,nil)) != sK53
                    & app(cons(X6,nil),X7) = sK54
                    & ssList(X7) )
                & ssItem(X6) ) )
          & ( nil != X3
            | nil = sK55 )
          & sK53 = sK55
          & sK54 = X3
          & ssList(X3) )
      & ssList(sK55) ) ),
    introduced(choice_axiom,[]) ).

fof(f346,plain,
    ( ? [X3] :
        ( ( ~ neq(X3,nil)
          | ? [X4] :
              ( ? [X5] :
                  ( app(X5,cons(X4,nil)) = sK55
                  & app(cons(X4,nil),X5) = X3
                  & ssList(X5) )
              & ssItem(X4) ) )
        & ( ( nil != sK53
            & nil = sK54 )
          | ? [X6] :
              ( ? [X7] :
                  ( app(X7,cons(X6,nil)) != sK53
                  & app(cons(X6,nil),X7) = sK54
                  & ssList(X7) )
              & ssItem(X6) ) )
        & ( nil != X3
          | nil = sK55 )
        & sK53 = sK55
        & sK54 = X3
        & ssList(X3) )
   => ( ( ~ neq(sK56,nil)
        | ? [X4] :
            ( ? [X5] :
                ( app(X5,cons(X4,nil)) = sK55
                & app(cons(X4,nil),X5) = sK56
                & ssList(X5) )
            & ssItem(X4) ) )
      & ( ( nil != sK53
          & nil = sK54 )
        | ? [X6] :
            ( ? [X7] :
                ( app(X7,cons(X6,nil)) != sK53
                & app(cons(X6,nil),X7) = sK54
                & ssList(X7) )
            & ssItem(X6) ) )
      & ( nil != sK56
        | nil = sK55 )
      & sK53 = sK55
      & sK54 = sK56
      & ssList(sK56) ) ),
    introduced(choice_axiom,[]) ).

fof(f347,plain,
    ( ? [X4] :
        ( ? [X5] :
            ( app(X5,cons(X4,nil)) = sK55
            & app(cons(X4,nil),X5) = sK56
            & ssList(X5) )
        & ssItem(X4) )
   => ( ? [X5] :
          ( sK55 = app(X5,cons(sK57,nil))
          & sK56 = app(cons(sK57,nil),X5)
          & ssList(X5) )
      & ssItem(sK57) ) ),
    introduced(choice_axiom,[]) ).

fof(f348,plain,
    ( ? [X5] :
        ( sK55 = app(X5,cons(sK57,nil))
        & sK56 = app(cons(sK57,nil),X5)
        & ssList(X5) )
   => ( sK55 = app(sK58,cons(sK57,nil))
      & sK56 = app(cons(sK57,nil),sK58)
      & ssList(sK58) ) ),
    introduced(choice_axiom,[]) ).

fof(f349,plain,
    ( ? [X6] :
        ( ? [X7] :
            ( app(X7,cons(X6,nil)) != sK53
            & app(cons(X6,nil),X7) = sK54
            & ssList(X7) )
        & ssItem(X6) )
   => ( ? [X7] :
          ( sK53 != app(X7,cons(sK59,nil))
          & sK54 = app(cons(sK59,nil),X7)
          & ssList(X7) )
      & ssItem(sK59) ) ),
    introduced(choice_axiom,[]) ).

fof(f350,plain,
    ( ? [X7] :
        ( sK53 != app(X7,cons(sK59,nil))
        & sK54 = app(cons(sK59,nil),X7)
        & ssList(X7) )
   => ( sK53 != app(sK60,cons(sK59,nil))
      & sK54 = app(cons(sK59,nil),sK60)
      & ssList(sK60) ) ),
    introduced(choice_axiom,[]) ).

fof(f351,plain,
    ( ( ~ neq(sK56,nil)
      | ( sK55 = app(sK58,cons(sK57,nil))
        & sK56 = app(cons(sK57,nil),sK58)
        & ssList(sK58)
        & ssItem(sK57) ) )
    & ( ( nil != sK53
        & nil = sK54 )
      | ( sK53 != app(sK60,cons(sK59,nil))
        & sK54 = app(cons(sK59,nil),sK60)
        & ssList(sK60)
        & ssItem(sK59) ) )
    & ( nil != sK56
      | nil = sK55 )
    & sK53 = sK55
    & sK54 = sK56
    & ssList(sK56)
    & ssList(sK55)
    & ssList(sK54)
    & ssList(sK53) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK53,sK54,sK55,sK56,sK57,sK58,sK59,sK60])],[f222,f350,f349,f348,f347,f346,f345,f344,f343]) ).

fof(f366,plain,
    ! [X2,X0,X1] :
      ( frontsegP(X0,X1)
      | app(X1,X2) != X0
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f248]) ).

fof(f442,plain,
    ! [X0,X1] :
      ( neq(X0,X1)
      | X0 = X1
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f316]) ).

fof(f443,plain,
    ! [X0,X1] :
      ( ssList(cons(X1,X0))
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f120]) ).

fof(f444,plain,
    ssList(nil),
    inference(cnf_transformation,[],[f17]) ).

fof(f445,plain,
    ! [X0,X1] :
      ( cons(X1,X0) != X0
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f121]) ).

fof(f456,plain,
    ! [X0,X1] :
      ( ssList(app(X0,X1))
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f133]) ).

fof(f457,plain,
    ! [X2,X0,X1] :
      ( cons(X2,app(X1,X0)) = app(cons(X2,X1),X0)
      | ~ ssItem(X2)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f134]) ).

fof(f458,plain,
    ! [X0] :
      ( app(nil,X0) = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f135]) ).

fof(f480,plain,
    ! [X2,X3,X0,X1] :
      ( X0 = X1
      | ~ frontsegP(cons(X0,X2),cons(X1,X3))
      | ~ ssList(X3)
      | ~ ssList(X2)
      | ~ ssItem(X1)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f327]) ).

fof(f531,plain,
    ! [X2,X0,X1] :
      ( X0 = X2
      | app(X1,X2) != app(X1,X0)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f198]) ).

fof(f535,plain,
    ! [X0,X1] :
      ( nil = X0
      | nil != app(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f340]) ).

fof(f552,plain,
    ssList(sK54),
    inference(cnf_transformation,[],[f351]) ).

fof(f555,plain,
    sK54 = sK56,
    inference(cnf_transformation,[],[f351]) ).

fof(f556,plain,
    sK53 = sK55,
    inference(cnf_transformation,[],[f351]) ).

fof(f557,plain,
    ( nil != sK56
    | nil = sK55 ),
    inference(cnf_transformation,[],[f351]) ).

fof(f558,plain,
    ( nil = sK54
    | ssItem(sK59) ),
    inference(cnf_transformation,[],[f351]) ).

fof(f559,plain,
    ( nil = sK54
    | ssList(sK60) ),
    inference(cnf_transformation,[],[f351]) ).

fof(f560,plain,
    ( nil = sK54
    | sK54 = app(cons(sK59,nil),sK60) ),
    inference(cnf_transformation,[],[f351]) ).

fof(f561,plain,
    ( nil = sK54
    | sK53 != app(sK60,cons(sK59,nil)) ),
    inference(cnf_transformation,[],[f351]) ).

fof(f562,plain,
    ( nil != sK53
    | ssItem(sK59) ),
    inference(cnf_transformation,[],[f351]) ).

fof(f563,plain,
    ( nil != sK53
    | ssList(sK60) ),
    inference(cnf_transformation,[],[f351]) ).

fof(f564,plain,
    ( nil != sK53
    | sK54 = app(cons(sK59,nil),sK60) ),
    inference(cnf_transformation,[],[f351]) ).

fof(f565,plain,
    ( nil != sK53
    | sK53 != app(sK60,cons(sK59,nil)) ),
    inference(cnf_transformation,[],[f351]) ).

fof(f566,plain,
    ( ~ neq(sK56,nil)
    | ssItem(sK57) ),
    inference(cnf_transformation,[],[f351]) ).

fof(f567,plain,
    ( ~ neq(sK56,nil)
    | ssList(sK58) ),
    inference(cnf_transformation,[],[f351]) ).

fof(f568,plain,
    ( ~ neq(sK56,nil)
    | sK56 = app(cons(sK57,nil),sK58) ),
    inference(cnf_transformation,[],[f351]) ).

fof(f569,plain,
    ( ~ neq(sK56,nil)
    | sK55 = app(sK58,cons(sK57,nil)) ),
    inference(cnf_transformation,[],[f351]) ).

fof(f570,plain,
    ( nil != sK55
    | sK55 != app(sK60,cons(sK59,nil)) ),
    inference(definition_unfolding,[],[f565,f556,f556]) ).

fof(f571,plain,
    ( nil != sK55
    | sK56 = app(cons(sK59,nil),sK60) ),
    inference(definition_unfolding,[],[f564,f556,f555]) ).

fof(f572,plain,
    ( nil != sK55
    | ssList(sK60) ),
    inference(definition_unfolding,[],[f563,f556]) ).

fof(f573,plain,
    ( nil != sK55
    | ssItem(sK59) ),
    inference(definition_unfolding,[],[f562,f556]) ).

fof(f574,plain,
    ( nil = sK56
    | sK55 != app(sK60,cons(sK59,nil)) ),
    inference(definition_unfolding,[],[f561,f555,f556]) ).

fof(f575,plain,
    ( nil = sK56
    | sK56 = app(cons(sK59,nil),sK60) ),
    inference(definition_unfolding,[],[f560,f555,f555]) ).

fof(f576,plain,
    ( nil = sK56
    | ssList(sK60) ),
    inference(definition_unfolding,[],[f559,f555]) ).

fof(f577,plain,
    ( nil = sK56
    | ssItem(sK59) ),
    inference(definition_unfolding,[],[f558,f555]) ).

fof(f578,plain,
    ssList(sK56),
    inference(definition_unfolding,[],[f552,f555]) ).

fof(f583,plain,
    ! [X2,X1] :
      ( frontsegP(app(X1,X2),X1)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(app(X1,X2)) ),
    inference(equality_resolution,[],[f366]) ).

cnf(c_61,plain,
    ( ~ ssList(app(X0,X1))
    | ~ ssList(X0)
    | ~ ssList(X1)
    | frontsegP(app(X0,X1),X0) ),
    inference(cnf_transformation,[],[f583]) ).

cnf(c_138,plain,
    ( ~ ssList(X0)
    | ~ ssList(X1)
    | X0 = X1
    | neq(X0,X1) ),
    inference(cnf_transformation,[],[f442]) ).

cnf(c_140,plain,
    ( ~ ssItem(X0)
    | ~ ssList(X1)
    | ssList(cons(X0,X1)) ),
    inference(cnf_transformation,[],[f443]) ).

cnf(c_141,plain,
    ssList(nil),
    inference(cnf_transformation,[],[f444]) ).

cnf(c_142,plain,
    ( cons(X0,X1) != X1
    | ~ ssItem(X0)
    | ~ ssList(X1) ),
    inference(cnf_transformation,[],[f445]) ).

cnf(c_153,plain,
    ( ~ ssList(X0)
    | ~ ssList(X1)
    | ssList(app(X0,X1)) ),
    inference(cnf_transformation,[],[f456]) ).

cnf(c_154,plain,
    ( ~ ssItem(X0)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | cons(X0,app(X2,X1)) = app(cons(X0,X2),X1) ),
    inference(cnf_transformation,[],[f457]) ).

cnf(c_155,plain,
    ( ~ ssList(X0)
    | app(nil,X0) = X0 ),
    inference(cnf_transformation,[],[f458]) ).

cnf(c_179,plain,
    ( ~ frontsegP(cons(X0,X1),cons(X2,X3))
    | ~ ssItem(X0)
    | ~ ssItem(X2)
    | ~ ssList(X1)
    | ~ ssList(X3)
    | X0 = X2 ),
    inference(cnf_transformation,[],[f480]) ).

cnf(c_226,plain,
    ( app(X0,X1) != app(X0,X2)
    | ~ ssList(X0)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | X1 = X2 ),
    inference(cnf_transformation,[],[f531]) ).

cnf(c_230,plain,
    ( app(X0,X1) != nil
    | ~ ssList(X0)
    | ~ ssList(X1)
    | X0 = nil ),
    inference(cnf_transformation,[],[f535]) ).

cnf(c_246,negated_conjecture,
    ( ~ neq(sK56,nil)
    | app(sK58,cons(sK57,nil)) = sK55 ),
    inference(cnf_transformation,[],[f569]) ).

cnf(c_247,negated_conjecture,
    ( ~ neq(sK56,nil)
    | app(cons(sK57,nil),sK58) = sK56 ),
    inference(cnf_transformation,[],[f568]) ).

cnf(c_248,negated_conjecture,
    ( ~ neq(sK56,nil)
    | ssList(sK58) ),
    inference(cnf_transformation,[],[f567]) ).

cnf(c_249,negated_conjecture,
    ( ~ neq(sK56,nil)
    | ssItem(sK57) ),
    inference(cnf_transformation,[],[f566]) ).

cnf(c_250,negated_conjecture,
    ( app(sK60,cons(sK59,nil)) != sK55
    | nil != sK55 ),
    inference(cnf_transformation,[],[f570]) ).

cnf(c_251,negated_conjecture,
    ( nil != sK55
    | app(cons(sK59,nil),sK60) = sK56 ),
    inference(cnf_transformation,[],[f571]) ).

cnf(c_252,negated_conjecture,
    ( nil != sK55
    | ssList(sK60) ),
    inference(cnf_transformation,[],[f572]) ).

cnf(c_253,negated_conjecture,
    ( nil != sK55
    | ssItem(sK59) ),
    inference(cnf_transformation,[],[f573]) ).

cnf(c_254,negated_conjecture,
    ( app(sK60,cons(sK59,nil)) != sK55
    | nil = sK56 ),
    inference(cnf_transformation,[],[f574]) ).

cnf(c_255,negated_conjecture,
    ( app(cons(sK59,nil),sK60) = sK56
    | nil = sK56 ),
    inference(cnf_transformation,[],[f575]) ).

cnf(c_256,negated_conjecture,
    ( nil = sK56
    | ssList(sK60) ),
    inference(cnf_transformation,[],[f576]) ).

cnf(c_257,negated_conjecture,
    ( nil = sK56
    | ssItem(sK59) ),
    inference(cnf_transformation,[],[f577]) ).

cnf(c_258,negated_conjecture,
    ( nil != sK56
    | nil = sK55 ),
    inference(cnf_transformation,[],[f557]) ).

cnf(c_261,negated_conjecture,
    ssList(sK56),
    inference(cnf_transformation,[],[f578]) ).

cnf(c_369,negated_conjecture,
    ssItem(sK59),
    inference(global_subsumption_just,[status(thm)],[c_257,c_257,c_253,c_258]) ).

cnf(c_371,negated_conjecture,
    ssList(sK60),
    inference(global_subsumption_just,[status(thm)],[c_256,c_256,c_252,c_258]) ).

cnf(c_379,negated_conjecture,
    ssItem(sK59),
    inference(global_subsumption_just,[status(thm)],[c_253,c_369]) ).

cnf(c_381,negated_conjecture,
    ssList(sK60),
    inference(global_subsumption_just,[status(thm)],[c_252,c_371]) ).

cnf(c_389,negated_conjecture,
    app(cons(sK59,nil),sK60) = sK56,
    inference(global_subsumption_just,[status(thm)],[c_255,c_258,c_255,c_251]) ).

cnf(c_391,negated_conjecture,
    app(sK60,cons(sK59,nil)) != sK55,
    inference(global_subsumption_just,[status(thm)],[c_254,c_258,c_254,c_250]) ).

cnf(c_393,negated_conjecture,
    app(cons(sK59,nil),sK60) = sK56,
    inference(global_subsumption_just,[status(thm)],[c_251,c_389]) ).

cnf(c_395,negated_conjecture,
    app(sK60,cons(sK59,nil)) != sK55,
    inference(global_subsumption_just,[status(thm)],[c_250,c_391]) ).

cnf(c_400,plain,
    ( ~ ssList(X0)
    | ~ ssList(X1)
    | frontsegP(app(X0,X1),X0) ),
    inference(global_subsumption_just,[status(thm)],[c_61,c_153,c_61]) ).

cnf(c_3266,plain,
    ( X0 != sK56
    | X1 != nil
    | ~ ssList(X0)
    | ~ ssList(X1)
    | X0 = X1
    | ssItem(sK57) ),
    inference(resolution_lifted,[status(thm)],[c_138,c_249]) ).

cnf(c_3267,plain,
    ( ~ ssList(nil)
    | ~ ssList(sK56)
    | sK56 = nil
    | ssItem(sK57) ),
    inference(unflattening,[status(thm)],[c_3266]) ).

cnf(c_3268,plain,
    ( sK56 = nil
    | ssItem(sK57) ),
    inference(global_subsumption_just,[status(thm)],[c_3267,c_261,c_141,c_3267]) ).

cnf(c_3276,plain,
    ( X0 != sK56
    | X1 != nil
    | ~ ssList(X0)
    | ~ ssList(X1)
    | X0 = X1
    | ssList(sK58) ),
    inference(resolution_lifted,[status(thm)],[c_138,c_248]) ).

cnf(c_3277,plain,
    ( ~ ssList(nil)
    | ~ ssList(sK56)
    | sK56 = nil
    | ssList(sK58) ),
    inference(unflattening,[status(thm)],[c_3276]) ).

cnf(c_3278,plain,
    ( sK56 = nil
    | ssList(sK58) ),
    inference(global_subsumption_just,[status(thm)],[c_3277,c_261,c_141,c_3277]) ).

cnf(c_3286,plain,
    ( X0 != sK56
    | X1 != nil
    | ~ ssList(X0)
    | ~ ssList(X1)
    | app(cons(sK57,nil),sK58) = sK56
    | X0 = X1 ),
    inference(resolution_lifted,[status(thm)],[c_138,c_247]) ).

cnf(c_3287,plain,
    ( ~ ssList(nil)
    | ~ ssList(sK56)
    | app(cons(sK57,nil),sK58) = sK56
    | sK56 = nil ),
    inference(unflattening,[status(thm)],[c_3286]) ).

cnf(c_3288,plain,
    ( app(cons(sK57,nil),sK58) = sK56
    | sK56 = nil ),
    inference(global_subsumption_just,[status(thm)],[c_3287,c_261,c_141,c_3287]) ).

cnf(c_3296,plain,
    ( X0 != sK56
    | X1 != nil
    | ~ ssList(X0)
    | ~ ssList(X1)
    | app(sK58,cons(sK57,nil)) = sK55
    | X0 = X1 ),
    inference(resolution_lifted,[status(thm)],[c_138,c_246]) ).

cnf(c_3297,plain,
    ( ~ ssList(nil)
    | ~ ssList(sK56)
    | app(sK58,cons(sK57,nil)) = sK55
    | sK56 = nil ),
    inference(unflattening,[status(thm)],[c_3296]) ).

cnf(c_3298,plain,
    ( app(sK58,cons(sK57,nil)) = sK55
    | sK56 = nil ),
    inference(global_subsumption_just,[status(thm)],[c_3297,c_261,c_141,c_3297]) ).

cnf(c_8945,plain,
    cons(sK59,nil) = sP0_iProver_def,
    definition ).

cnf(c_8946,plain,
    app(sK60,sP0_iProver_def) = sP1_iProver_def,
    definition ).

cnf(c_8947,plain,
    app(sP0_iProver_def,sK60) = sP2_iProver_def,
    definition ).

cnf(c_8948,negated_conjecture,
    sP1_iProver_def != sK55,
    inference(demodulation,[status(thm)],[c_395,c_8945,c_8946]) ).

cnf(c_8949,negated_conjecture,
    sP2_iProver_def = sK56,
    inference(demodulation,[status(thm)],[c_393,c_8947]) ).

cnf(c_8950,negated_conjecture,
    ssList(sK60),
    inference(demodulation,[status(thm)],[c_381]) ).

cnf(c_8951,negated_conjecture,
    ssItem(sK59),
    inference(demodulation,[status(thm)],[c_379]) ).

cnf(c_11806,plain,
    ( nil = sP2_iProver_def
    | ssItem(sK57) ),
    inference(light_normalisation,[status(thm)],[c_3268,c_8949]) ).

cnf(c_11811,plain,
    ( nil = sP2_iProver_def
    | ssList(sK58) ),
    inference(light_normalisation,[status(thm)],[c_3278,c_8949]) ).

cnf(c_11816,plain,
    ( app(cons(sK57,nil),sK58) = sP2_iProver_def
    | nil = sP2_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_3288,c_8949]) ).

cnf(c_11821,plain,
    ( app(sK58,cons(sK57,nil)) = sK55
    | nil = sP2_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_3298,c_8949]) ).

cnf(c_12254,plain,
    app(nil,sK60) = sK60,
    inference(superposition,[status(thm)],[c_8950,c_155]) ).

cnf(c_12524,plain,
    ( ~ ssItem(sK59)
    | ~ ssList(nil)
    | ssList(sP0_iProver_def) ),
    inference(superposition,[status(thm)],[c_8945,c_140]) ).

cnf(c_12527,plain,
    ssList(sP0_iProver_def),
    inference(forward_subsumption_resolution,[status(thm)],[c_12524,c_141,c_8951]) ).

cnf(c_13659,plain,
    ( ~ ssList(X0)
    | ~ ssItem(sK57)
    | ssList(cons(sK57,X0)) ),
    inference(instantiation,[status(thm)],[c_140]) ).

cnf(c_13660,plain,
    ( ~ ssItem(sK57)
    | ~ ssList(nil)
    | ssList(cons(sK57,nil)) ),
    inference(instantiation,[status(thm)],[c_13659]) ).

cnf(c_13699,plain,
    ( ~ ssList(cons(sK57,nil))
    | ~ ssList(sK58)
    | nil = sP2_iProver_def
    | frontsegP(sP2_iProver_def,cons(sK57,nil)) ),
    inference(superposition,[status(thm)],[c_11816,c_400]) ).

cnf(c_13891,plain,
    ( nil != sP0_iProver_def
    | ~ ssItem(sK59)
    | ~ ssList(nil) ),
    inference(superposition,[status(thm)],[c_8945,c_142]) ).

cnf(c_13892,plain,
    nil != sP0_iProver_def,
    inference(forward_subsumption_resolution,[status(thm)],[c_13891,c_141,c_8951]) ).

cnf(c_17412,plain,
    ( nil != sP2_iProver_def
    | ~ ssList(sK60)
    | ~ ssList(sP0_iProver_def)
    | nil = sP0_iProver_def ),
    inference(superposition,[status(thm)],[c_8947,c_230]) ).

cnf(c_17449,plain,
    nil != sP2_iProver_def,
    inference(forward_subsumption_resolution,[status(thm)],[c_17412,c_13892,c_12527,c_8950]) ).

cnf(c_17527,plain,
    app(sK58,cons(sK57,nil)) = sK55,
    inference(backward_subsumption_resolution,[status(thm)],[c_11821,c_17449]) ).

cnf(c_17528,plain,
    app(cons(sK57,nil),sK58) = sP2_iProver_def,
    inference(backward_subsumption_resolution,[status(thm)],[c_11816,c_17449]) ).

cnf(c_17529,plain,
    ssList(sK58),
    inference(backward_subsumption_resolution,[status(thm)],[c_11811,c_17449]) ).

cnf(c_17530,plain,
    ssItem(sK57),
    inference(backward_subsumption_resolution,[status(thm)],[c_11806,c_17449]) ).

cnf(c_20024,plain,
    ( ~ ssList(cons(sK57,nil))
    | ~ ssList(sK58)
    | frontsegP(sP2_iProver_def,cons(sK57,nil)) ),
    inference(superposition,[status(thm)],[c_17528,c_400]) ).

cnf(c_20034,plain,
    ( ~ ssList(cons(sK57,nil))
    | frontsegP(sP2_iProver_def,cons(sK57,nil)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_20024,c_17529]) ).

cnf(c_22842,plain,
    ( ~ ssList(X0)
    | ~ ssList(X1)
    | cons(sK59,app(X1,X0)) = app(cons(sK59,X1),X0) ),
    inference(superposition,[status(thm)],[c_8951,c_154]) ).

cnf(c_26642,plain,
    ( app(sP0_iProver_def,X0) != sP2_iProver_def
    | ~ ssList(X0)
    | ~ ssList(sK60)
    | ~ ssList(sP0_iProver_def)
    | X0 = sK60 ),
    inference(superposition,[status(thm)],[c_8947,c_226]) ).

cnf(c_26759,plain,
    ( app(sP0_iProver_def,X0) != sP2_iProver_def
    | ~ ssList(X0)
    | X0 = sK60 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_26642,c_12527,c_8950]) ).

cnf(c_34211,plain,
    ( ~ ssList(X0)
    | cons(sK59,app(X0,sK60)) = app(cons(sK59,X0),sK60) ),
    inference(superposition,[status(thm)],[c_8950,c_22842]) ).

cnf(c_34484,plain,
    cons(sK59,app(nil,sK60)) = app(cons(sK59,nil),sK60),
    inference(superposition,[status(thm)],[c_141,c_34211]) ).

cnf(c_34499,plain,
    cons(sK59,sK60) = sP2_iProver_def,
    inference(light_normalisation,[status(thm)],[c_34484,c_8945,c_8947,c_12254]) ).

cnf(c_35287,plain,
    ( ~ frontsegP(sP2_iProver_def,cons(X0,X1))
    | ~ ssItem(X0)
    | ~ ssList(X1)
    | ~ ssItem(sK59)
    | ~ ssList(sK60)
    | X0 = sK59 ),
    inference(superposition,[status(thm)],[c_34499,c_179]) ).

cnf(c_35355,plain,
    ( ~ frontsegP(sP2_iProver_def,cons(X0,X1))
    | ~ ssItem(X0)
    | ~ ssList(X1)
    | X0 = sK59 ),
    inference(forward_subsumption_resolution,[status(thm)],[c_35287,c_8950,c_8951]) ).

cnf(c_57332,plain,
    frontsegP(sP2_iProver_def,cons(sK57,nil)),
    inference(global_subsumption_just,[status(thm)],[c_20034,c_141,c_13660,c_13699,c_17530,c_17529,c_17449]) ).

cnf(c_57337,plain,
    ( ~ ssItem(sK57)
    | ~ ssList(nil)
    | sK57 = sK59 ),
    inference(superposition,[status(thm)],[c_57332,c_35355]) ).

cnf(c_57339,plain,
    sK57 = sK59,
    inference(forward_subsumption_resolution,[status(thm)],[c_57337,c_141,c_17530]) ).

cnf(c_57369,plain,
    app(cons(sK59,nil),sK58) = sP2_iProver_def,
    inference(demodulation,[status(thm)],[c_17528,c_57339]) ).

cnf(c_57370,plain,
    app(sK58,cons(sK59,nil)) = sK55,
    inference(demodulation,[status(thm)],[c_17527,c_57339]) ).

cnf(c_57373,plain,
    app(sK58,sP0_iProver_def) = sK55,
    inference(light_normalisation,[status(thm)],[c_57370,c_8945]) ).

cnf(c_57374,plain,
    app(sP0_iProver_def,sK58) = sP2_iProver_def,
    inference(light_normalisation,[status(thm)],[c_57369,c_8945]) ).

cnf(c_57756,plain,
    ( ~ ssList(sK58)
    | sK58 = sK60 ),
    inference(superposition,[status(thm)],[c_57374,c_26759]) ).

cnf(c_57757,plain,
    sK58 = sK60,
    inference(forward_subsumption_resolution,[status(thm)],[c_57756,c_17529]) ).

cnf(c_57794,plain,
    app(sK60,sP0_iProver_def) = sK55,
    inference(demodulation,[status(thm)],[c_57373,c_57757]) ).

cnf(c_57843,plain,
    sK55 = sP1_iProver_def,
    inference(light_normalisation,[status(thm)],[c_57794,c_8946]) ).

cnf(c_58071,plain,
    sP1_iProver_def != sP1_iProver_def,
    inference(demodulation,[status(thm)],[c_8948,c_57843]) ).

cnf(c_58073,plain,
    $false,
    inference(equality_resolution_simp,[status(thm)],[c_58071]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SWC315+1 : TPTP v8.1.2. Released v2.4.0.
% 0.06/0.12  % Command  : run_iprover %s %d THM
% 0.11/0.32  % Computer : n020.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 300
% 0.11/0.32  % DateTime : Thu May  2 23:30:01 EDT 2024
% 0.11/0.32  % CPUTime  : 
% 0.17/0.44  Running first-order theorem proving
% 0.17/0.44  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 19.78/3.66  % SZS status Started for theBenchmark.p
% 19.78/3.66  % SZS status Theorem for theBenchmark.p
% 19.78/3.66  
% 19.78/3.66  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 19.78/3.66  
% 19.78/3.66  ------  iProver source info
% 19.78/3.66  
% 19.78/3.66  git: date: 2024-05-02 19:28:25 +0000
% 19.78/3.66  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 19.78/3.66  git: non_committed_changes: false
% 19.78/3.66  
% 19.78/3.66  ------ Parsing...
% 19.78/3.66  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 19.78/3.66  
% 19.78/3.66  ------ 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 
% 19.78/3.66  
% 19.78/3.66  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 19.78/3.66  
% 19.78/3.66  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 19.78/3.66  ------ Proving...
% 19.78/3.66  ------ Problem Properties 
% 19.78/3.66  
% 19.78/3.66  
% 19.78/3.66  clauses                                 194
% 19.78/3.66  conjectures                             7
% 19.78/3.66  EPR                                     58
% 19.78/3.66  Horn                                    122
% 19.78/3.66  unary                                   25
% 19.78/3.66  binary                                  45
% 19.78/3.66  lits                                    637
% 19.78/3.66  lits eq                                 91
% 19.78/3.66  fd_pure                                 0
% 19.78/3.66  fd_pseudo                               0
% 19.78/3.66  fd_cond                                 21
% 19.78/3.66  fd_pseudo_cond                          14
% 19.78/3.66  AC symbols                              0
% 19.78/3.66  
% 19.78/3.66  ------ Schedule dynamic 5 is on 
% 19.78/3.66  
% 19.78/3.66  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 19.78/3.66  
% 19.78/3.66  
% 19.78/3.66  ------ 
% 19.78/3.66  Current options:
% 19.78/3.66  ------ 
% 19.78/3.66  
% 19.78/3.66  
% 19.78/3.66  
% 19.78/3.66  
% 19.78/3.66  ------ Proving...
% 19.78/3.66  
% 19.78/3.66  
% 19.78/3.66  % SZS status Theorem for theBenchmark.p
% 19.78/3.66  
% 19.78/3.66  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 20.73/3.66  
% 20.73/3.67  
%------------------------------------------------------------------------------