TSTP Solution File: SWC412+1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SWC412+1 : TPTP v8.2.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n008.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 : Mon Jun 24 16:25:33 EDT 2024

% Result   : Theorem 57.88s 8.76s
% Output   : CNFRefutation 57.88s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

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

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

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] :
                  ( ( ( ! [X16] :
                          ( ssItem(X16)
                         => ! [X17] :
                              ( ssItem(X17)
                             => ! [X18] :
                                  ( app(app(cons(X17,nil),X18),cons(X16,nil)) = X0
                                  | app(app(cons(X16,nil),X18),cons(X17,nil)) != X1
                                  | ~ ssList(X18) ) ) )
                      | ! [X13] :
                          ( ssItem(X13)
                         => ! [X14] :
                              ( ssItem(X14)
                             => ! [X15] :
                                  ( ssList(X15)
                                 => app(app(cons(X13,nil),cons(X14,nil)),X15) != X1 ) ) )
                      | ? [X10] :
                          ( ? [X11] :
                              ( ? [X12] :
                                  ( app(app(cons(X10,nil),X12),cons(X11,nil)) = X3
                                  & app(app(cons(X11,nil),X12),cons(X10,nil)) != X2
                                  & ssList(X12) )
                              & ssItem(X11) )
                          & ssItem(X10) ) )
                    & ( ! [X7] :
                          ( ssItem(X7)
                         => ! [X8] :
                              ( ssItem(X8)
                             => ! [X9] :
                                  ( ssList(X9)
                                 => app(app(cons(X7,nil),cons(X8,nil)),X9) != X1 ) ) )
                      | ? [X4] :
                          ( ? [X5] :
                              ( ? [X6] :
                                  ( app(app(cons(X4,nil),cons(X5,nil)),X6) = X3
                                  & ssList(X6) )
                              & ssItem(X5) )
                          & ssItem(X4) ) ) )
                  | X0 != X2
                  | X1 != X3
                  | ~ ssList(X3) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f97,negated_conjecture,
    ~ ! [X0] :
        ( ssList(X0)
       => ! [X1] :
            ( ssList(X1)
           => ! [X2] :
                ( ssList(X2)
               => ! [X3] :
                    ( ( ( ! [X16] :
                            ( ssItem(X16)
                           => ! [X17] :
                                ( ssItem(X17)
                               => ! [X18] :
                                    ( app(app(cons(X17,nil),X18),cons(X16,nil)) = X0
                                    | app(app(cons(X16,nil),X18),cons(X17,nil)) != X1
                                    | ~ ssList(X18) ) ) )
                        | ! [X13] :
                            ( ssItem(X13)
                           => ! [X14] :
                                ( ssItem(X14)
                               => ! [X15] :
                                    ( ssList(X15)
                                   => app(app(cons(X13,nil),cons(X14,nil)),X15) != X1 ) ) )
                        | ? [X10] :
                            ( ? [X11] :
                                ( ? [X12] :
                                    ( app(app(cons(X10,nil),X12),cons(X11,nil)) = X3
                                    & app(app(cons(X11,nil),X12),cons(X10,nil)) != X2
                                    & ssList(X12) )
                                & ssItem(X11) )
                            & ssItem(X10) ) )
                      & ( ! [X7] :
                            ( ssItem(X7)
                           => ! [X8] :
                                ( ssItem(X8)
                               => ! [X9] :
                                    ( ssList(X9)
                                   => app(app(cons(X7,nil),cons(X8,nil)),X9) != X1 ) ) )
                        | ? [X4] :
                            ( ? [X5] :
                                ( ? [X6] :
                                    ( app(app(cons(X4,nil),cons(X5,nil)),X6) = X3
                                    & ssList(X6) )
                                & ssItem(X5) )
                            & ssItem(X4) ) ) )
                    | X0 != X2
                    | X1 != X3
                    | ~ ssList(X3) ) ) ) ),
    inference(negated_conjecture,[],[f96]) ).

fof(f98,plain,
    ~ ! [X0] :
        ( ssList(X0)
       => ! [X1] :
            ( ssList(X1)
           => ! [X2] :
                ( ssList(X2)
               => ! [X3] :
                    ( ( ( ! [X4] :
                            ( ssItem(X4)
                           => ! [X5] :
                                ( ssItem(X5)
                               => ! [X6] :
                                    ( app(app(cons(X5,nil),X6),cons(X4,nil)) = X0
                                    | app(app(cons(X4,nil),X6),cons(X5,nil)) != X1
                                    | ~ ssList(X6) ) ) )
                        | ! [X7] :
                            ( ssItem(X7)
                           => ! [X8] :
                                ( ssItem(X8)
                               => ! [X9] :
                                    ( ssList(X9)
                                   => app(app(cons(X7,nil),cons(X8,nil)),X9) != X1 ) ) )
                        | ? [X10] :
                            ( ? [X11] :
                                ( ? [X12] :
                                    ( app(app(cons(X10,nil),X12),cons(X11,nil)) = X3
                                    & app(app(cons(X11,nil),X12),cons(X10,nil)) != X2
                                    & ssList(X12) )
                                & ssItem(X11) )
                            & ssItem(X10) ) )
                      & ( ! [X13] :
                            ( ssItem(X13)
                           => ! [X14] :
                                ( ssItem(X14)
                               => ! [X15] :
                                    ( ssList(X15)
                                   => app(app(cons(X13,nil),cons(X14,nil)),X15) != X1 ) ) )
                        | ? [X16] :
                            ( ? [X17] :
                                ( ? [X18] :
                                    ( app(app(cons(X16,nil),cons(X17,nil)),X18) = X3
                                    & ssList(X18) )
                                & ssItem(X17) )
                            & ssItem(X16) ) ) )
                    | X0 != X2
                    | X1 != X3
                    | ~ ssList(X3) ) ) ) ),
    inference(rectify,[],[f97]) ).

fof(f124,plain,
    ! [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( cons(X2,X1) = X0
              & ssItem(X2) )
          & ssList(X1) )
      | nil = X0
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f20]) ).

fof(f125,plain,
    ! [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( cons(X2,X1) = X0
              & ssItem(X2) )
          & ssList(X1) )
      | nil = X0
      | ~ ssList(X0) ),
    inference(flattening,[],[f124]) ).

fof(f193,plain,
    ! [X0] :
      ( cons(hd(X0),tl(X0)) = X0
      | nil = X0
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f78]) ).

fof(f194,plain,
    ! [X0] :
      ( cons(hd(X0),tl(X0)) = X0
      | nil = X0
      | ~ ssList(X0) ),
    inference(flattening,[],[f193]) ).

fof(f202,plain,
    ! [X0] :
      ( app(X0,nil) = X0
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f84]) ).

fof(f222,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( ( ? [X4] :
                          ( ? [X5] :
                              ( ? [X6] :
                                  ( app(app(cons(X5,nil),X6),cons(X4,nil)) != X0
                                  & app(app(cons(X4,nil),X6),cons(X5,nil)) = X1
                                  & ssList(X6) )
                              & ssItem(X5) )
                          & ssItem(X4) )
                      & ? [X7] :
                          ( ? [X8] :
                              ( ? [X9] :
                                  ( app(app(cons(X7,nil),cons(X8,nil)),X9) = X1
                                  & ssList(X9) )
                              & ssItem(X8) )
                          & ssItem(X7) )
                      & ! [X10] :
                          ( ! [X11] :
                              ( ! [X12] :
                                  ( app(app(cons(X10,nil),X12),cons(X11,nil)) != X3
                                  | app(app(cons(X11,nil),X12),cons(X10,nil)) = X2
                                  | ~ ssList(X12) )
                              | ~ ssItem(X11) )
                          | ~ ssItem(X10) ) )
                    | ( ? [X13] :
                          ( ? [X14] :
                              ( ? [X15] :
                                  ( app(app(cons(X13,nil),cons(X14,nil)),X15) = X1
                                  & ssList(X15) )
                              & ssItem(X14) )
                          & ssItem(X13) )
                      & ! [X16] :
                          ( ! [X17] :
                              ( ! [X18] :
                                  ( app(app(cons(X16,nil),cons(X17,nil)),X18) != X3
                                  | ~ ssList(X18) )
                              | ~ ssItem(X17) )
                          | ~ ssItem(X16) ) ) )
                  & X0 = X2
                  & X1 = X3
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(ennf_transformation,[],[f98]) ).

fof(f232,plain,
    ! [X0,X1] :
      ( ? [X4] :
          ( ? [X5] :
              ( ? [X6] :
                  ( app(app(cons(X5,nil),X6),cons(X4,nil)) != X0
                  & app(app(cons(X4,nil),X6),cons(X5,nil)) = X1
                  & ssList(X6) )
              & ssItem(X5) )
          & ssItem(X4) )
      | ~ sP6(X0,X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).

fof(f233,plain,
    ! [X1,X0,X3,X2] :
      ( ( sP6(X0,X1)
        & ? [X7] :
            ( ? [X8] :
                ( ? [X9] :
                    ( app(app(cons(X7,nil),cons(X8,nil)),X9) = X1
                    & ssList(X9) )
                & ssItem(X8) )
            & ssItem(X7) )
        & ! [X10] :
            ( ! [X11] :
                ( ! [X12] :
                    ( app(app(cons(X10,nil),X12),cons(X11,nil)) != X3
                    | app(app(cons(X11,nil),X12),cons(X10,nil)) = X2
                    | ~ ssList(X12) )
                | ~ ssItem(X11) )
            | ~ ssItem(X10) ) )
      | ~ sP7(X1,X0,X3,X2) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).

fof(f234,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( sP7(X1,X0,X3,X2)
                    | ( ? [X13] :
                          ( ? [X14] :
                              ( ? [X15] :
                                  ( app(app(cons(X13,nil),cons(X14,nil)),X15) = X1
                                  & ssList(X15) )
                              & ssItem(X14) )
                          & ssItem(X13) )
                      & ! [X16] :
                          ( ! [X17] :
                              ( ! [X18] :
                                  ( app(app(cons(X16,nil),cons(X17,nil)),X18) != X3
                                  | ~ ssList(X18) )
                              | ~ ssItem(X17) )
                          | ~ ssItem(X16) ) ) )
                  & X0 = X2
                  & X1 = X3
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(definition_folding,[],[f222,f233,f232]) ).

fof(f320,plain,
    ! [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( cons(X2,X1) = X0
              & ssItem(X2) )
          & ssList(X1) )
     => ( ? [X2] :
            ( cons(X2,sK51(X0)) = X0
            & ssItem(X2) )
        & ssList(sK51(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f321,plain,
    ! [X0] :
      ( ? [X2] :
          ( cons(X2,sK51(X0)) = X0
          & ssItem(X2) )
     => ( cons(sK52(X0),sK51(X0)) = X0
        & ssItem(sK52(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f322,plain,
    ! [X0] :
      ( ( cons(sK52(X0),sK51(X0)) = X0
        & ssItem(sK52(X0))
        & ssList(sK51(X0)) )
      | nil = X0
      | ~ ssList(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK51,sK52])],[f125,f321,f320]) ).

fof(f346,plain,
    ! [X1,X0,X3,X2] :
      ( ( sP6(X0,X1)
        & ? [X7] :
            ( ? [X8] :
                ( ? [X9] :
                    ( app(app(cons(X7,nil),cons(X8,nil)),X9) = X1
                    & ssList(X9) )
                & ssItem(X8) )
            & ssItem(X7) )
        & ! [X10] :
            ( ! [X11] :
                ( ! [X12] :
                    ( app(app(cons(X10,nil),X12),cons(X11,nil)) != X3
                    | app(app(cons(X11,nil),X12),cons(X10,nil)) = X2
                    | ~ ssList(X12) )
                | ~ ssItem(X11) )
            | ~ ssItem(X10) ) )
      | ~ sP7(X1,X0,X3,X2) ),
    inference(nnf_transformation,[],[f233]) ).

fof(f347,plain,
    ! [X0,X1,X2,X3] :
      ( ( sP6(X1,X0)
        & ? [X4] :
            ( ? [X5] :
                ( ? [X6] :
                    ( app(app(cons(X4,nil),cons(X5,nil)),X6) = X0
                    & ssList(X6) )
                & ssItem(X5) )
            & ssItem(X4) )
        & ! [X7] :
            ( ! [X8] :
                ( ! [X9] :
                    ( app(app(cons(X7,nil),X9),cons(X8,nil)) != X2
                    | app(app(cons(X8,nil),X9),cons(X7,nil)) = X3
                    | ~ ssList(X9) )
                | ~ ssItem(X8) )
            | ~ ssItem(X7) ) )
      | ~ sP7(X0,X1,X2,X3) ),
    inference(rectify,[],[f346]) ).

fof(f348,plain,
    ! [X0] :
      ( ? [X4] :
          ( ? [X5] :
              ( ? [X6] :
                  ( app(app(cons(X4,nil),cons(X5,nil)),X6) = X0
                  & ssList(X6) )
              & ssItem(X5) )
          & ssItem(X4) )
     => ( ? [X5] :
            ( ? [X6] :
                ( app(app(cons(sK55(X0),nil),cons(X5,nil)),X6) = X0
                & ssList(X6) )
            & ssItem(X5) )
        & ssItem(sK55(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f349,plain,
    ! [X0] :
      ( ? [X5] :
          ( ? [X6] :
              ( app(app(cons(sK55(X0),nil),cons(X5,nil)),X6) = X0
              & ssList(X6) )
          & ssItem(X5) )
     => ( ? [X6] :
            ( app(app(cons(sK55(X0),nil),cons(sK56(X0),nil)),X6) = X0
            & ssList(X6) )
        & ssItem(sK56(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f350,plain,
    ! [X0] :
      ( ? [X6] :
          ( app(app(cons(sK55(X0),nil),cons(sK56(X0),nil)),X6) = X0
          & ssList(X6) )
     => ( app(app(cons(sK55(X0),nil),cons(sK56(X0),nil)),sK57(X0)) = X0
        & ssList(sK57(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f351,plain,
    ! [X0,X1,X2,X3] :
      ( ( sP6(X1,X0)
        & app(app(cons(sK55(X0),nil),cons(sK56(X0),nil)),sK57(X0)) = X0
        & ssList(sK57(X0))
        & ssItem(sK56(X0))
        & ssItem(sK55(X0))
        & ! [X7] :
            ( ! [X8] :
                ( ! [X9] :
                    ( app(app(cons(X7,nil),X9),cons(X8,nil)) != X2
                    | app(app(cons(X8,nil),X9),cons(X7,nil)) = X3
                    | ~ ssList(X9) )
                | ~ ssItem(X8) )
            | ~ ssItem(X7) ) )
      | ~ sP7(X0,X1,X2,X3) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK55,sK56,sK57])],[f347,f350,f349,f348]) ).

fof(f352,plain,
    ! [X0,X1] :
      ( ? [X4] :
          ( ? [X5] :
              ( ? [X6] :
                  ( app(app(cons(X5,nil),X6),cons(X4,nil)) != X0
                  & app(app(cons(X4,nil),X6),cons(X5,nil)) = X1
                  & ssList(X6) )
              & ssItem(X5) )
          & ssItem(X4) )
      | ~ sP6(X0,X1) ),
    inference(nnf_transformation,[],[f232]) ).

fof(f353,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ? [X3] :
              ( ? [X4] :
                  ( app(app(cons(X3,nil),X4),cons(X2,nil)) != X0
                  & app(app(cons(X2,nil),X4),cons(X3,nil)) = X1
                  & ssList(X4) )
              & ssItem(X3) )
          & ssItem(X2) )
      | ~ sP6(X0,X1) ),
    inference(rectify,[],[f352]) ).

fof(f354,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ? [X3] :
              ( ? [X4] :
                  ( app(app(cons(X3,nil),X4),cons(X2,nil)) != X0
                  & app(app(cons(X2,nil),X4),cons(X3,nil)) = X1
                  & ssList(X4) )
              & ssItem(X3) )
          & ssItem(X2) )
     => ( ? [X3] :
            ( ? [X4] :
                ( app(app(cons(X3,nil),X4),cons(sK58(X0,X1),nil)) != X0
                & app(app(cons(sK58(X0,X1),nil),X4),cons(X3,nil)) = X1
                & ssList(X4) )
            & ssItem(X3) )
        & ssItem(sK58(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f355,plain,
    ! [X0,X1] :
      ( ? [X3] :
          ( ? [X4] :
              ( app(app(cons(X3,nil),X4),cons(sK58(X0,X1),nil)) != X0
              & app(app(cons(sK58(X0,X1),nil),X4),cons(X3,nil)) = X1
              & ssList(X4) )
          & ssItem(X3) )
     => ( ? [X4] :
            ( app(app(cons(sK59(X0,X1),nil),X4),cons(sK58(X0,X1),nil)) != X0
            & app(app(cons(sK58(X0,X1),nil),X4),cons(sK59(X0,X1),nil)) = X1
            & ssList(X4) )
        & ssItem(sK59(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f356,plain,
    ! [X0,X1] :
      ( ? [X4] :
          ( app(app(cons(sK59(X0,X1),nil),X4),cons(sK58(X0,X1),nil)) != X0
          & app(app(cons(sK58(X0,X1),nil),X4),cons(sK59(X0,X1),nil)) = X1
          & ssList(X4) )
     => ( app(app(cons(sK59(X0,X1),nil),sK60(X0,X1)),cons(sK58(X0,X1),nil)) != X0
        & app(app(cons(sK58(X0,X1),nil),sK60(X0,X1)),cons(sK59(X0,X1),nil)) = X1
        & ssList(sK60(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f357,plain,
    ! [X0,X1] :
      ( ( app(app(cons(sK59(X0,X1),nil),sK60(X0,X1)),cons(sK58(X0,X1),nil)) != X0
        & app(app(cons(sK58(X0,X1),nil),sK60(X0,X1)),cons(sK59(X0,X1),nil)) = X1
        & ssList(sK60(X0,X1))
        & ssItem(sK59(X0,X1))
        & ssItem(sK58(X0,X1)) )
      | ~ sP6(X0,X1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK58,sK59,sK60])],[f353,f356,f355,f354]) ).

fof(f358,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( sP7(X1,X0,X3,X2)
                    | ( ? [X4] :
                          ( ? [X5] :
                              ( ? [X6] :
                                  ( app(app(cons(X4,nil),cons(X5,nil)),X6) = X1
                                  & ssList(X6) )
                              & ssItem(X5) )
                          & ssItem(X4) )
                      & ! [X7] :
                          ( ! [X8] :
                              ( ! [X9] :
                                  ( app(app(cons(X7,nil),cons(X8,nil)),X9) != X3
                                  | ~ ssList(X9) )
                              | ~ ssItem(X8) )
                          | ~ ssItem(X7) ) ) )
                  & X0 = X2
                  & X1 = X3
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(rectify,[],[f234]) ).

fof(f359,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( ? [X2] :
                ( ? [X3] :
                    ( ( sP7(X1,X0,X3,X2)
                      | ( ? [X4] :
                            ( ? [X5] :
                                ( ? [X6] :
                                    ( app(app(cons(X4,nil),cons(X5,nil)),X6) = X1
                                    & ssList(X6) )
                                & ssItem(X5) )
                            & ssItem(X4) )
                        & ! [X7] :
                            ( ! [X8] :
                                ( ! [X9] :
                                    ( app(app(cons(X7,nil),cons(X8,nil)),X9) != X3
                                    | ~ ssList(X9) )
                                | ~ ssItem(X8) )
                            | ~ ssItem(X7) ) ) )
                    & X0 = X2
                    & X1 = X3
                    & ssList(X3) )
                & ssList(X2) )
            & ssList(X1) )
        & ssList(X0) )
   => ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( sP7(X1,sK61,X3,X2)
                    | ( ? [X4] :
                          ( ? [X5] :
                              ( ? [X6] :
                                  ( app(app(cons(X4,nil),cons(X5,nil)),X6) = X1
                                  & ssList(X6) )
                              & ssItem(X5) )
                          & ssItem(X4) )
                      & ! [X7] :
                          ( ! [X8] :
                              ( ! [X9] :
                                  ( app(app(cons(X7,nil),cons(X8,nil)),X9) != X3
                                  | ~ ssList(X9) )
                              | ~ ssItem(X8) )
                          | ~ ssItem(X7) ) ) )
                  & sK61 = X2
                  & X1 = X3
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(sK61) ) ),
    introduced(choice_axiom,[]) ).

fof(f360,plain,
    ( ? [X1] :
        ( ? [X2] :
            ( ? [X3] :
                ( ( sP7(X1,sK61,X3,X2)
                  | ( ? [X4] :
                        ( ? [X5] :
                            ( ? [X6] :
                                ( app(app(cons(X4,nil),cons(X5,nil)),X6) = X1
                                & ssList(X6) )
                            & ssItem(X5) )
                        & ssItem(X4) )
                    & ! [X7] :
                        ( ! [X8] :
                            ( ! [X9] :
                                ( app(app(cons(X7,nil),cons(X8,nil)),X9) != X3
                                | ~ ssList(X9) )
                            | ~ ssItem(X8) )
                        | ~ ssItem(X7) ) ) )
                & sK61 = X2
                & X1 = X3
                & ssList(X3) )
            & ssList(X2) )
        & ssList(X1) )
   => ( ? [X2] :
          ( ? [X3] :
              ( ( sP7(sK62,sK61,X3,X2)
                | ( ? [X4] :
                      ( ? [X5] :
                          ( ? [X6] :
                              ( app(app(cons(X4,nil),cons(X5,nil)),X6) = sK62
                              & ssList(X6) )
                          & ssItem(X5) )
                      & ssItem(X4) )
                  & ! [X7] :
                      ( ! [X8] :
                          ( ! [X9] :
                              ( app(app(cons(X7,nil),cons(X8,nil)),X9) != X3
                              | ~ ssList(X9) )
                          | ~ ssItem(X8) )
                      | ~ ssItem(X7) ) ) )
              & sK61 = X2
              & sK62 = X3
              & ssList(X3) )
          & ssList(X2) )
      & ssList(sK62) ) ),
    introduced(choice_axiom,[]) ).

fof(f361,plain,
    ( ? [X2] :
        ( ? [X3] :
            ( ( sP7(sK62,sK61,X3,X2)
              | ( ? [X4] :
                    ( ? [X5] :
                        ( ? [X6] :
                            ( app(app(cons(X4,nil),cons(X5,nil)),X6) = sK62
                            & ssList(X6) )
                        & ssItem(X5) )
                    & ssItem(X4) )
                & ! [X7] :
                    ( ! [X8] :
                        ( ! [X9] :
                            ( app(app(cons(X7,nil),cons(X8,nil)),X9) != X3
                            | ~ ssList(X9) )
                        | ~ ssItem(X8) )
                    | ~ ssItem(X7) ) ) )
            & sK61 = X2
            & sK62 = X3
            & ssList(X3) )
        & ssList(X2) )
   => ( ? [X3] :
          ( ( sP7(sK62,sK61,X3,sK63)
            | ( ? [X4] :
                  ( ? [X5] :
                      ( ? [X6] :
                          ( app(app(cons(X4,nil),cons(X5,nil)),X6) = sK62
                          & ssList(X6) )
                      & ssItem(X5) )
                  & ssItem(X4) )
              & ! [X7] :
                  ( ! [X8] :
                      ( ! [X9] :
                          ( app(app(cons(X7,nil),cons(X8,nil)),X9) != X3
                          | ~ ssList(X9) )
                      | ~ ssItem(X8) )
                  | ~ ssItem(X7) ) ) )
          & sK61 = sK63
          & sK62 = X3
          & ssList(X3) )
      & ssList(sK63) ) ),
    introduced(choice_axiom,[]) ).

fof(f362,plain,
    ( ? [X3] :
        ( ( sP7(sK62,sK61,X3,sK63)
          | ( ? [X4] :
                ( ? [X5] :
                    ( ? [X6] :
                        ( app(app(cons(X4,nil),cons(X5,nil)),X6) = sK62
                        & ssList(X6) )
                    & ssItem(X5) )
                & ssItem(X4) )
            & ! [X7] :
                ( ! [X8] :
                    ( ! [X9] :
                        ( app(app(cons(X7,nil),cons(X8,nil)),X9) != X3
                        | ~ ssList(X9) )
                    | ~ ssItem(X8) )
                | ~ ssItem(X7) ) ) )
        & sK61 = sK63
        & sK62 = X3
        & ssList(X3) )
   => ( ( sP7(sK62,sK61,sK64,sK63)
        | ( ? [X4] :
              ( ? [X5] :
                  ( ? [X6] :
                      ( app(app(cons(X4,nil),cons(X5,nil)),X6) = sK62
                      & ssList(X6) )
                  & ssItem(X5) )
              & ssItem(X4) )
          & ! [X7] :
              ( ! [X8] :
                  ( ! [X9] :
                      ( app(app(cons(X7,nil),cons(X8,nil)),X9) != sK64
                      | ~ ssList(X9) )
                  | ~ ssItem(X8) )
              | ~ ssItem(X7) ) ) )
      & sK61 = sK63
      & sK62 = sK64
      & ssList(sK64) ) ),
    introduced(choice_axiom,[]) ).

fof(f363,plain,
    ( ? [X4] :
        ( ? [X5] :
            ( ? [X6] :
                ( app(app(cons(X4,nil),cons(X5,nil)),X6) = sK62
                & ssList(X6) )
            & ssItem(X5) )
        & ssItem(X4) )
   => ( ? [X5] :
          ( ? [X6] :
              ( sK62 = app(app(cons(sK65,nil),cons(X5,nil)),X6)
              & ssList(X6) )
          & ssItem(X5) )
      & ssItem(sK65) ) ),
    introduced(choice_axiom,[]) ).

fof(f364,plain,
    ( ? [X5] :
        ( ? [X6] :
            ( sK62 = app(app(cons(sK65,nil),cons(X5,nil)),X6)
            & ssList(X6) )
        & ssItem(X5) )
   => ( ? [X6] :
          ( sK62 = app(app(cons(sK65,nil),cons(sK66,nil)),X6)
          & ssList(X6) )
      & ssItem(sK66) ) ),
    introduced(choice_axiom,[]) ).

fof(f365,plain,
    ( ? [X6] :
        ( sK62 = app(app(cons(sK65,nil),cons(sK66,nil)),X6)
        & ssList(X6) )
   => ( sK62 = app(app(cons(sK65,nil),cons(sK66,nil)),sK67)
      & ssList(sK67) ) ),
    introduced(choice_axiom,[]) ).

fof(f366,plain,
    ( ( sP7(sK62,sK61,sK64,sK63)
      | ( sK62 = app(app(cons(sK65,nil),cons(sK66,nil)),sK67)
        & ssList(sK67)
        & ssItem(sK66)
        & ssItem(sK65)
        & ! [X7] :
            ( ! [X8] :
                ( ! [X9] :
                    ( app(app(cons(X7,nil),cons(X8,nil)),X9) != sK64
                    | ~ ssList(X9) )
                | ~ ssItem(X8) )
            | ~ ssItem(X7) ) ) )
    & sK61 = sK63
    & sK62 = sK64
    & ssList(sK64)
    & ssList(sK63)
    & ssList(sK62)
    & ssList(sK61) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK61,sK62,sK63,sK64,sK65,sK66,sK67])],[f358,f365,f364,f363,f362,f361,f360,f359]) ).

fof(f465,plain,
    ! [X0] :
      ( cons(sK52(X0),sK51(X0)) = X0
      | nil = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f322]) ).

fof(f544,plain,
    ! [X0] :
      ( cons(hd(X0),tl(X0)) = X0
      | nil = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f194]) ).

fof(f552,plain,
    ! [X0] :
      ( app(X0,nil) = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f202]) ).

fof(f566,plain,
    ! [X2,X3,X0,X1,X8,X9,X7] :
      ( app(app(cons(X7,nil),X9),cons(X8,nil)) != X2
      | app(app(cons(X8,nil),X9),cons(X7,nil)) = X3
      | ~ ssList(X9)
      | ~ ssItem(X8)
      | ~ ssItem(X7)
      | ~ sP7(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f351]) ).

fof(f567,plain,
    ! [X2,X3,X0,X1] :
      ( ssItem(sK55(X0))
      | ~ sP7(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f351]) ).

fof(f568,plain,
    ! [X2,X3,X0,X1] :
      ( ssItem(sK56(X0))
      | ~ sP7(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f351]) ).

fof(f569,plain,
    ! [X2,X3,X0,X1] :
      ( ssList(sK57(X0))
      | ~ sP7(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f351]) ).

fof(f570,plain,
    ! [X2,X3,X0,X1] :
      ( app(app(cons(sK55(X0),nil),cons(sK56(X0),nil)),sK57(X0)) = X0
      | ~ sP7(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f351]) ).

fof(f571,plain,
    ! [X2,X3,X0,X1] :
      ( sP6(X1,X0)
      | ~ sP7(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f351]) ).

fof(f572,plain,
    ! [X0,X1] :
      ( ssItem(sK58(X0,X1))
      | ~ sP6(X0,X1) ),
    inference(cnf_transformation,[],[f357]) ).

fof(f573,plain,
    ! [X0,X1] :
      ( ssItem(sK59(X0,X1))
      | ~ sP6(X0,X1) ),
    inference(cnf_transformation,[],[f357]) ).

fof(f574,plain,
    ! [X0,X1] :
      ( ssList(sK60(X0,X1))
      | ~ sP6(X0,X1) ),
    inference(cnf_transformation,[],[f357]) ).

fof(f575,plain,
    ! [X0,X1] :
      ( app(app(cons(sK58(X0,X1),nil),sK60(X0,X1)),cons(sK59(X0,X1),nil)) = X1
      | ~ sP6(X0,X1) ),
    inference(cnf_transformation,[],[f357]) ).

fof(f576,plain,
    ! [X0,X1] :
      ( app(app(cons(sK59(X0,X1),nil),sK60(X0,X1)),cons(sK58(X0,X1),nil)) != X0
      | ~ sP6(X0,X1) ),
    inference(cnf_transformation,[],[f357]) ).

fof(f577,plain,
    ssList(sK61),
    inference(cnf_transformation,[],[f366]) ).

fof(f581,plain,
    sK62 = sK64,
    inference(cnf_transformation,[],[f366]) ).

fof(f582,plain,
    sK61 = sK63,
    inference(cnf_transformation,[],[f366]) ).

fof(f583,plain,
    ! [X8,X9,X7] :
      ( sP7(sK62,sK61,sK64,sK63)
      | app(app(cons(X7,nil),cons(X8,nil)),X9) != sK64
      | ~ ssList(X9)
      | ~ ssItem(X8)
      | ~ ssItem(X7) ),
    inference(cnf_transformation,[],[f366]) ).

fof(f584,plain,
    ( sP7(sK62,sK61,sK64,sK63)
    | ssItem(sK65) ),
    inference(cnf_transformation,[],[f366]) ).

fof(f585,plain,
    ( sP7(sK62,sK61,sK64,sK63)
    | ssItem(sK66) ),
    inference(cnf_transformation,[],[f366]) ).

fof(f586,plain,
    ( sP7(sK62,sK61,sK64,sK63)
    | ssList(sK67) ),
    inference(cnf_transformation,[],[f366]) ).

fof(f587,plain,
    ( sP7(sK62,sK61,sK64,sK63)
    | sK62 = app(app(cons(sK65,nil),cons(sK66,nil)),sK67) ),
    inference(cnf_transformation,[],[f366]) ).

fof(f588,plain,
    ( sP7(sK64,sK63,sK64,sK63)
    | sK64 = app(app(cons(sK65,nil),cons(sK66,nil)),sK67) ),
    inference(definition_unfolding,[],[f587,f581,f582,f581]) ).

fof(f589,plain,
    ( sP7(sK64,sK63,sK64,sK63)
    | ssList(sK67) ),
    inference(definition_unfolding,[],[f586,f581,f582]) ).

fof(f590,plain,
    ( sP7(sK64,sK63,sK64,sK63)
    | ssItem(sK66) ),
    inference(definition_unfolding,[],[f585,f581,f582]) ).

fof(f591,plain,
    ( sP7(sK64,sK63,sK64,sK63)
    | ssItem(sK65) ),
    inference(definition_unfolding,[],[f584,f581,f582]) ).

fof(f592,plain,
    ! [X8,X9,X7] :
      ( sP7(sK64,sK63,sK64,sK63)
      | app(app(cons(X7,nil),cons(X8,nil)),X9) != sK64
      | ~ ssList(X9)
      | ~ ssItem(X8)
      | ~ ssItem(X7) ),
    inference(definition_unfolding,[],[f583,f581,f582]) ).

fof(f594,plain,
    ssList(sK63),
    inference(definition_unfolding,[],[f577,f582]) ).

fof(f622,plain,
    ! [X3,X0,X1,X8,X9,X7] :
      ( app(app(cons(X8,nil),X9),cons(X7,nil)) = X3
      | ~ ssList(X9)
      | ~ ssItem(X8)
      | ~ ssItem(X7)
      | ~ sP7(X0,X1,app(app(cons(X7,nil),X9),cons(X8,nil)),X3) ),
    inference(equality_resolution,[],[f566]) ).

cnf(c_145,plain,
    ( ~ ssList(X0)
    | cons(sK52(X0),sK51(X0)) = X0
    | X0 = nil ),
    inference(cnf_transformation,[],[f465]) ).

cnf(c_224,plain,
    ( ~ ssList(X0)
    | cons(hd(X0),tl(X0)) = X0
    | X0 = nil ),
    inference(cnf_transformation,[],[f544]) ).

cnf(c_232,plain,
    ( ~ ssList(X0)
    | app(X0,nil) = X0 ),
    inference(cnf_transformation,[],[f552]) ).

cnf(c_246,plain,
    ( ~ sP7(X0,X1,X2,X3)
    | sP6(X1,X0) ),
    inference(cnf_transformation,[],[f571]) ).

cnf(c_247,plain,
    ( ~ sP7(X0,X1,X2,X3)
    | app(app(cons(sK55(X0),nil),cons(sK56(X0),nil)),sK57(X0)) = X0 ),
    inference(cnf_transformation,[],[f570]) ).

cnf(c_248,plain,
    ( ~ sP7(X0,X1,X2,X3)
    | ssList(sK57(X0)) ),
    inference(cnf_transformation,[],[f569]) ).

cnf(c_249,plain,
    ( ~ sP7(X0,X1,X2,X3)
    | ssItem(sK56(X0)) ),
    inference(cnf_transformation,[],[f568]) ).

cnf(c_250,plain,
    ( ~ sP7(X0,X1,X2,X3)
    | ssItem(sK55(X0)) ),
    inference(cnf_transformation,[],[f567]) ).

cnf(c_251,plain,
    ( ~ sP7(X0,X1,app(app(cons(X2,nil),X3),cons(X4,nil)),X5)
    | ~ ssItem(X2)
    | ~ ssItem(X4)
    | ~ ssList(X3)
    | app(app(cons(X4,nil),X3),cons(X2,nil)) = X5 ),
    inference(cnf_transformation,[],[f622]) ).

cnf(c_252,plain,
    ( app(app(cons(sK59(X0,X1),nil),sK60(X0,X1)),cons(sK58(X0,X1),nil)) != X0
    | ~ sP6(X0,X1) ),
    inference(cnf_transformation,[],[f576]) ).

cnf(c_253,plain,
    ( ~ sP6(X0,X1)
    | app(app(cons(sK58(X0,X1),nil),sK60(X0,X1)),cons(sK59(X0,X1),nil)) = X1 ),
    inference(cnf_transformation,[],[f575]) ).

cnf(c_254,plain,
    ( ~ sP6(X0,X1)
    | ssList(sK60(X0,X1)) ),
    inference(cnf_transformation,[],[f574]) ).

cnf(c_255,plain,
    ( ~ sP6(X0,X1)
    | ssItem(sK59(X0,X1)) ),
    inference(cnf_transformation,[],[f573]) ).

cnf(c_256,plain,
    ( ~ sP6(X0,X1)
    | ssItem(sK58(X0,X1)) ),
    inference(cnf_transformation,[],[f572]) ).

cnf(c_257,negated_conjecture,
    ( app(app(cons(sK65,nil),cons(sK66,nil)),sK67) = sK64
    | sP7(sK64,sK63,sK64,sK63) ),
    inference(cnf_transformation,[],[f588]) ).

cnf(c_258,negated_conjecture,
    ( sP7(sK64,sK63,sK64,sK63)
    | ssList(sK67) ),
    inference(cnf_transformation,[],[f589]) ).

cnf(c_259,negated_conjecture,
    ( sP7(sK64,sK63,sK64,sK63)
    | ssItem(sK66) ),
    inference(cnf_transformation,[],[f590]) ).

cnf(c_260,negated_conjecture,
    ( sP7(sK64,sK63,sK64,sK63)
    | ssItem(sK65) ),
    inference(cnf_transformation,[],[f591]) ).

cnf(c_261,negated_conjecture,
    ( app(app(cons(X0,nil),cons(X1,nil)),X2) != sK64
    | ~ ssItem(X0)
    | ~ ssItem(X1)
    | ~ ssList(X2)
    | sP7(sK64,sK63,sK64,sK63) ),
    inference(cnf_transformation,[],[f592]) ).

cnf(c_265,negated_conjecture,
    ssList(sK63),
    inference(cnf_transformation,[],[f594]) ).

cnf(c_5011,plain,
    ( X0 != sK64
    | X1 != sK63
    | X2 != sK64
    | X3 != sK63
    | ssItem(sK55(X0))
    | ssList(sK67) ),
    inference(resolution_lifted,[status(thm)],[c_250,c_258]) ).

cnf(c_5012,plain,
    ( ssItem(sK55(sK64))
    | ssList(sK67) ),
    inference(unflattening,[status(thm)],[c_5011]) ).

cnf(c_5061,plain,
    ( X0 != sK64
    | X1 != sK63
    | X2 != sK64
    | X3 != sK63
    | ssItem(sK56(X0))
    | ssList(sK67) ),
    inference(resolution_lifted,[status(thm)],[c_249,c_258]) ).

cnf(c_5062,plain,
    ( ssItem(sK56(sK64))
    | ssList(sK67) ),
    inference(unflattening,[status(thm)],[c_5061]) ).

cnf(c_5111,plain,
    ( X0 != sK64
    | X1 != sK63
    | X2 != sK64
    | X3 != sK63
    | ssList(sK57(X0))
    | ssList(sK67) ),
    inference(resolution_lifted,[status(thm)],[c_248,c_258]) ).

cnf(c_5112,plain,
    ( ssList(sK57(sK64))
    | ssList(sK67) ),
    inference(unflattening,[status(thm)],[c_5111]) ).

cnf(c_5211,plain,
    ( X0 != sK64
    | X1 != sK63
    | X2 != sK64
    | X3 != sK63
    | sP6(X1,X0)
    | ssList(sK67) ),
    inference(resolution_lifted,[status(thm)],[c_246,c_258]) ).

cnf(c_5212,plain,
    ( sP6(sK63,sK64)
    | ssList(sK67) ),
    inference(unflattening,[status(thm)],[c_5211]) ).

cnf(c_10128,negated_conjecture,
    ssList(sK63),
    inference(subtyping,[status(esa)],[c_265]) ).

cnf(c_10130,negated_conjecture,
    ( app(app(cons(X0_14,nil),cons(X1_14,nil)),X0_13) != sK64
    | ~ ssItem(X0_14)
    | ~ ssItem(X1_14)
    | ~ ssList(X0_13)
    | sP7(sK64,sK63,sK64,sK63) ),
    inference(subtyping,[status(esa)],[c_261]) ).

cnf(c_10131,negated_conjecture,
    ( sP7(sK64,sK63,sK64,sK63)
    | ssItem(sK65) ),
    inference(subtyping,[status(esa)],[c_260]) ).

cnf(c_10133,negated_conjecture,
    ( sP7(sK64,sK63,sK64,sK63)
    | ssList(sK67) ),
    inference(subtyping,[status(esa)],[c_258]) ).

cnf(c_10134,negated_conjecture,
    ( app(app(cons(sK65,nil),cons(sK66,nil)),sK67) = sK64
    | sP7(sK64,sK63,sK64,sK63) ),
    inference(subtyping,[status(esa)],[c_257]) ).

cnf(c_10135,plain,
    ( ~ sP6(X0_13,X1_13)
    | ssItem(sK58(X0_13,X1_13)) ),
    inference(subtyping,[status(esa)],[c_256]) ).

cnf(c_10136,plain,
    ( ~ sP6(X0_13,X1_13)
    | ssItem(sK59(X0_13,X1_13)) ),
    inference(subtyping,[status(esa)],[c_255]) ).

cnf(c_10137,plain,
    ( ~ sP6(X0_13,X1_13)
    | ssList(sK60(X0_13,X1_13)) ),
    inference(subtyping,[status(esa)],[c_254]) ).

cnf(c_10138,plain,
    ( ~ sP6(X0_13,X1_13)
    | app(app(cons(sK58(X0_13,X1_13),nil),sK60(X0_13,X1_13)),cons(sK59(X0_13,X1_13),nil)) = X1_13 ),
    inference(subtyping,[status(esa)],[c_253]) ).

cnf(c_10139,plain,
    ( app(app(cons(sK59(X0_13,X1_13),nil),sK60(X0_13,X1_13)),cons(sK58(X0_13,X1_13),nil)) != X0_13
    | ~ sP6(X0_13,X1_13) ),
    inference(subtyping,[status(esa)],[c_252]) ).

cnf(c_10140,plain,
    ( ~ sP7(X0_13,X1_13,app(app(cons(X0_14,nil),X2_13),cons(X1_14,nil)),X3_13)
    | ~ ssItem(X0_14)
    | ~ ssItem(X1_14)
    | ~ ssList(X2_13)
    | app(app(cons(X1_14,nil),X2_13),cons(X0_14,nil)) = X3_13 ),
    inference(subtyping,[status(esa)],[c_251]) ).

cnf(c_10141,plain,
    ( ~ sP7(X0_13,X1_13,X2_13,X3_13)
    | ssItem(sK55(X0_13)) ),
    inference(subtyping,[status(esa)],[c_250]) ).

cnf(c_10142,plain,
    ( ~ sP7(X0_13,X1_13,X2_13,X3_13)
    | ssItem(sK56(X0_13)) ),
    inference(subtyping,[status(esa)],[c_249]) ).

cnf(c_10143,plain,
    ( ~ sP7(X0_13,X1_13,X2_13,X3_13)
    | ssList(sK57(X0_13)) ),
    inference(subtyping,[status(esa)],[c_248]) ).

cnf(c_10144,plain,
    ( ~ sP7(X0_13,X1_13,X2_13,X3_13)
    | app(app(cons(sK55(X0_13),nil),cons(sK56(X0_13),nil)),sK57(X0_13)) = X0_13 ),
    inference(subtyping,[status(esa)],[c_247]) ).

cnf(c_10145,plain,
    ( ~ sP7(X0_13,X1_13,X2_13,X3_13)
    | sP6(X1_13,X0_13) ),
    inference(subtyping,[status(esa)],[c_246]) ).

cnf(c_10157,plain,
    ( ~ ssList(X0_13)
    | app(X0_13,nil) = X0_13 ),
    inference(subtyping,[status(esa)],[c_232]) ).

cnf(c_10164,plain,
    ( ~ ssList(X0_13)
    | cons(hd(X0_13),tl(X0_13)) = X0_13
    | X0_13 = nil ),
    inference(subtyping,[status(esa)],[c_224]) ).

cnf(c_10232,plain,
    ( ~ ssList(X0_13)
    | cons(sK52(X0_13),sK51(X0_13)) = X0_13
    | X0_13 = nil ),
    inference(subtyping,[status(esa)],[c_145]) ).

cnf(c_10314,plain,
    cons(sK65,nil) = sP0_iProver_def,
    definition ).

cnf(c_10315,plain,
    cons(sK66,nil) = sP1_iProver_def,
    definition ).

cnf(c_10316,plain,
    app(sP0_iProver_def,sP1_iProver_def) = sP2_iProver_def,
    definition ).

cnf(c_10317,plain,
    app(sP2_iProver_def,sK67) = sP3_iProver_def,
    definition ).

cnf(c_10318,negated_conjecture,
    ( sP3_iProver_def = sK64
    | sP7(sK64,sK63,sK64,sK63) ),
    inference(demodulation,[status(thm)],[c_10134,c_10315,c_10314,c_10316,c_10317]) ).

cnf(c_10319,negated_conjecture,
    ( sP7(sK64,sK63,sK64,sK63)
    | ssList(sK67) ),
    inference(demodulation,[status(thm)],[c_10133]) ).

cnf(c_10321,negated_conjecture,
    ( sP7(sK64,sK63,sK64,sK63)
    | ssItem(sK65) ),
    inference(demodulation,[status(thm)],[c_10131]) ).

cnf(c_10322,negated_conjecture,
    ( app(app(cons(X0_14,nil),cons(X1_14,nil)),X0_13) != sK64
    | ~ ssItem(X0_14)
    | ~ ssItem(X1_14)
    | ~ ssList(X0_13)
    | sP7(sK64,sK63,sK64,sK63) ),
    inference(demodulation,[status(thm)],[c_10130]) ).

cnf(c_10324,negated_conjecture,
    ssList(sK63),
    inference(demodulation,[status(thm)],[c_10128]) ).

cnf(c_10326,plain,
    X0_13 = X0_13,
    theory(equality) ).

cnf(c_10328,plain,
    ( X0_13 != X1_13
    | X2_13 != X1_13
    | X2_13 = X0_13 ),
    theory(equality) ).

cnf(c_10350,plain,
    ( X0_13 != X1_13
    | X2_13 != X3_13
    | X4_13 != X5_13
    | X6_13 != X7_13
    | ~ sP7(X1_13,X3_13,X5_13,X7_13)
    | sP7(X0_13,X2_13,X4_13,X6_13) ),
    theory(equality) ).

cnf(c_13397,plain,
    ( ~ sP7(sK64,sK63,sK64,sK63)
    | ssItem(sK55(sK64)) ),
    inference(instantiation,[status(thm)],[c_10141]) ).

cnf(c_13398,plain,
    ( ~ sP7(sK64,sK63,sK64,sK63)
    | ssItem(sK56(sK64)) ),
    inference(instantiation,[status(thm)],[c_10142]) ).

cnf(c_13399,plain,
    ( ~ sP7(sK64,sK63,sK64,sK63)
    | ssList(sK57(sK64)) ),
    inference(instantiation,[status(thm)],[c_10143]) ).

cnf(c_13421,plain,
    ( ~ sP7(sK64,sK63,sK64,sK63)
    | sP6(sK63,sK64) ),
    inference(instantiation,[status(thm)],[c_10145]) ).

cnf(c_13430,plain,
    ( ~ sP7(sK64,sK63,sK64,sK63)
    | app(app(cons(sK55(sK64),nil),cons(sK56(sK64),nil)),sK57(sK64)) = sK64 ),
    inference(instantiation,[status(thm)],[c_10144]) ).

cnf(c_13431,plain,
    ( X0_13 != sK64
    | X1_13 != sK63
    | X2_13 != sK64
    | X3_13 != sK63
    | ~ sP7(sK64,sK63,sK64,sK63)
    | sP7(X0_13,X1_13,X2_13,X3_13) ),
    inference(instantiation,[status(thm)],[c_10350]) ).

cnf(c_13546,plain,
    ( app(app(sP0_iProver_def,cons(X0_14,nil)),X0_13) != sK64
    | ~ ssItem(X0_14)
    | ~ ssList(X0_13)
    | ~ ssItem(sK65)
    | sP7(sK64,sK63,sK64,sK63) ),
    inference(superposition,[status(thm)],[c_10314,c_10322]) ).

cnf(c_13591,plain,
    ( ~ ssList(X0_13)
    | ~ ssItem(X0_14)
    | app(app(sP0_iProver_def,cons(X0_14,nil)),X0_13) != sK64
    | sP7(sK64,sK63,sK64,sK63) ),
    inference(global_subsumption_just,[status(thm)],[c_13546,c_260,c_13546]) ).

cnf(c_13592,plain,
    ( app(app(sP0_iProver_def,cons(X0_14,nil)),X0_13) != sK64
    | ~ ssItem(X0_14)
    | ~ ssList(X0_13)
    | sP7(sK64,sK63,sK64,sK63) ),
    inference(renaming,[status(thm)],[c_13591]) ).

cnf(c_13598,plain,
    ( app(app(sP0_iProver_def,sP1_iProver_def),X0_13) != sK64
    | ~ ssList(X0_13)
    | ~ ssItem(sK66)
    | sP7(sK64,sK63,sK64,sK63) ),
    inference(superposition,[status(thm)],[c_10315,c_13592]) ).

cnf(c_13637,plain,
    ( ~ ssList(X0_13)
    | app(app(sP0_iProver_def,sP1_iProver_def),X0_13) != sK64
    | sP7(sK64,sK63,sK64,sK63) ),
    inference(global_subsumption_just,[status(thm)],[c_13598,c_259,c_13598]) ).

cnf(c_13638,plain,
    ( app(app(sP0_iProver_def,sP1_iProver_def),X0_13) != sK64
    | ~ ssList(X0_13)
    | sP7(sK64,sK63,sK64,sK63) ),
    inference(renaming,[status(thm)],[c_13637]) ).

cnf(c_13640,plain,
    ( app(sP2_iProver_def,X0_13) != sK64
    | ~ ssList(X0_13)
    | sP7(sK64,sK63,sK64,sK63) ),
    inference(light_normalisation,[status(thm)],[c_13638,c_10316]) ).

cnf(c_13647,plain,
    ( sK64 != sP3_iProver_def
    | ~ ssList(sK67)
    | sP7(sK64,sK63,sK64,sK63) ),
    inference(superposition,[status(thm)],[c_10317,c_13640]) ).

cnf(c_13654,plain,
    ( app(app(cons(sK59(sK63,sK64),nil),sK60(sK63,sK64)),cons(sK58(sK63,sK64),nil)) != sK63
    | ~ sP6(sK63,sK64) ),
    inference(instantiation,[status(thm)],[c_10139]) ).

cnf(c_13655,plain,
    ( ~ sP6(sK63,sK64)
    | app(app(cons(sK58(sK63,sK64),nil),sK60(sK63,sK64)),cons(sK59(sK63,sK64),nil)) = sK64 ),
    inference(instantiation,[status(thm)],[c_10138]) ).

cnf(c_13656,plain,
    ( ~ sP6(sK63,sK64)
    | ssList(sK60(sK63,sK64)) ),
    inference(instantiation,[status(thm)],[c_10137]) ).

cnf(c_13657,plain,
    ( ~ sP6(sK63,sK64)
    | ssItem(sK59(sK63,sK64)) ),
    inference(instantiation,[status(thm)],[c_10136]) ).

cnf(c_13658,plain,
    ( ~ sP6(sK63,sK64)
    | ssItem(sK58(sK63,sK64)) ),
    inference(instantiation,[status(thm)],[c_10135]) ).

cnf(c_13894,plain,
    ( sK64 = sP3_iProver_def
    | ssItem(sK55(sK64)) ),
    inference(superposition,[status(thm)],[c_10318,c_10141]) ).

cnf(c_13895,plain,
    ( ssItem(sK55(sK64))
    | ssItem(sK65) ),
    inference(superposition,[status(thm)],[c_10321,c_10141]) ).

cnf(c_13900,plain,
    ( sK64 = sP3_iProver_def
    | ssItem(sK56(sK64)) ),
    inference(superposition,[status(thm)],[c_10318,c_10142]) ).

cnf(c_13901,plain,
    ( ssItem(sK56(sK64))
    | ssItem(sK65) ),
    inference(superposition,[status(thm)],[c_10321,c_10142]) ).

cnf(c_13906,plain,
    ( sK64 = sP3_iProver_def
    | ssList(sK57(sK64)) ),
    inference(superposition,[status(thm)],[c_10318,c_10143]) ).

cnf(c_13907,plain,
    ( ssList(sK57(sK64))
    | ssItem(sK65) ),
    inference(superposition,[status(thm)],[c_10321,c_10143]) ).

cnf(c_13912,plain,
    ( sK64 = sP3_iProver_def
    | sP6(sK63,sK64) ),
    inference(superposition,[status(thm)],[c_10318,c_10145]) ).

cnf(c_13913,plain,
    ( sP6(sK63,sK64)
    | ssItem(sK65) ),
    inference(superposition,[status(thm)],[c_10321,c_10145]) ).

cnf(c_13920,plain,
    app(sK63,nil) = sK63,
    inference(superposition,[status(thm)],[c_10324,c_10157]) ).

cnf(c_14042,plain,
    ssItem(sK55(sK64)),
    inference(global_subsumption_just,[status(thm)],[c_13895,c_5012,c_13397,c_13647,c_13894]) ).

cnf(c_14044,plain,
    ssItem(sK56(sK64)),
    inference(global_subsumption_just,[status(thm)],[c_13901,c_5062,c_13398,c_13647,c_13900]) ).

cnf(c_14046,plain,
    ssList(sK57(sK64)),
    inference(global_subsumption_just,[status(thm)],[c_13907,c_5112,c_13399,c_13647,c_13906]) ).

cnf(c_14049,plain,
    sP6(sK63,sK64),
    inference(global_subsumption_just,[status(thm)],[c_13913,c_5212,c_13421,c_13647,c_13912]) ).

cnf(c_14582,plain,
    ( app(app(cons(sK55(sK64),nil),cons(sK56(sK64),nil)),sK57(sK64)) != sK64
    | ~ ssItem(sK55(sK64))
    | ~ ssItem(sK56(sK64))
    | ~ ssList(sK57(sK64))
    | sP7(sK64,sK63,sK64,sK63) ),
    inference(instantiation,[status(thm)],[c_10322]) ).

cnf(c_14614,plain,
    sK63 = sK63,
    inference(instantiation,[status(thm)],[c_10326]) ).

cnf(c_14616,plain,
    ( X0_13 != X1_13
    | sK63 != X1_13
    | X0_13 = sK63 ),
    inference(instantiation,[status(thm)],[c_10328]) ).

cnf(c_17015,plain,
    ( app(app(cons(sK59(sK63,sK64),nil),sK60(sK63,sK64)),cons(sK58(sK63,sK64),nil)) != X0_13
    | sK63 != X0_13
    | app(app(cons(sK59(sK63,sK64),nil),sK60(sK63,sK64)),cons(sK58(sK63,sK64),nil)) = sK63 ),
    inference(instantiation,[status(thm)],[c_14616]) ).

cnf(c_17016,plain,
    ( app(app(cons(sK59(sK63,sK64),nil),sK60(sK63,sK64)),cons(sK58(sK63,sK64),nil)) != nil
    | sK63 != nil
    | app(app(cons(sK59(sK63,sK64),nil),sK60(sK63,sK64)),cons(sK58(sK63,sK64),nil)) = sK63 ),
    inference(instantiation,[status(thm)],[c_17015]) ).

cnf(c_17332,plain,
    ( ~ ssList(sK63)
    | cons(hd(sK63),tl(sK63)) = sK63
    | sK63 = nil ),
    inference(instantiation,[status(thm)],[c_10164]) ).

cnf(c_21901,plain,
    ( cons(hd(sK63),tl(sK63)) = sK63
    | nil = sK63 ),
    inference(superposition,[status(thm)],[c_10324,c_10164]) ).

cnf(c_22147,plain,
    ( cons(sK52(sK63),sK51(sK63)) = sK63
    | nil = sK63 ),
    inference(superposition,[status(thm)],[c_10324,c_10232]) ).

cnf(c_31644,plain,
    ( app(app(cons(sK55(sK64),nil),cons(sK56(sK64),nil)),sK57(sK64)) = sK64
    | sK64 = sP3_iProver_def ),
    inference(superposition,[status(thm)],[c_10318,c_10144]) ).

cnf(c_31645,plain,
    ( app(app(cons(sK55(sK64),nil),cons(sK56(sK64),nil)),sK57(sK64)) = sK64
    | ssItem(sK65) ),
    inference(superposition,[status(thm)],[c_10321,c_10144]) ).

cnf(c_31647,plain,
    ( app(app(cons(sK55(sK64),nil),cons(sK56(sK64),nil)),sK57(sK64)) = sK64
    | ssList(sK67) ),
    inference(superposition,[status(thm)],[c_10319,c_10144]) ).

cnf(c_32487,plain,
    ( app(app(cons(sK58(sK63,sK64),nil),sK60(sK63,sK64)),cons(sK59(sK63,sK64),nil)) != sK64
    | X0_13 != sK64
    | X1_13 != sK63
    | X2_13 != sK63
    | ~ sP7(sK64,sK63,sK64,sK63)
    | sP7(X0_13,X1_13,app(app(cons(sK58(sK63,sK64),nil),sK60(sK63,sK64)),cons(sK59(sK63,sK64),nil)),X2_13) ),
    inference(instantiation,[status(thm)],[c_13431]) ).

cnf(c_39636,plain,
    ( app(app(cons(sK58(sK63,sK64),nil),sK60(sK63,sK64)),cons(sK59(sK63,sK64),nil)) != sK64
    | X0_13 != sK63
    | X1_13 != sK63
    | ~ sP7(sK64,sK63,sK64,sK63)
    | sP7(app(app(cons(sK58(sK63,sK64),nil),sK60(sK63,sK64)),cons(sK59(sK63,sK64),nil)),X0_13,app(app(cons(sK58(sK63,sK64),nil),sK60(sK63,sK64)),cons(sK59(sK63,sK64),nil)),X1_13) ),
    inference(instantiation,[status(thm)],[c_32487]) ).

cnf(c_39637,plain,
    ( app(app(cons(sK58(sK63,sK64),nil),sK60(sK63,sK64)),cons(sK59(sK63,sK64),nil)) != sK64
    | nil != sK63
    | ~ sP7(sK64,sK63,sK64,sK63)
    | sP7(app(app(cons(sK58(sK63,sK64),nil),sK60(sK63,sK64)),cons(sK59(sK63,sK64),nil)),nil,app(app(cons(sK58(sK63,sK64),nil),sK60(sK63,sK64)),cons(sK59(sK63,sK64),nil)),nil) ),
    inference(instantiation,[status(thm)],[c_39636]) ).

cnf(c_46756,plain,
    app(app(cons(sK55(sK64),nil),cons(sK56(sK64),nil)),sK57(sK64)) = sK64,
    inference(global_subsumption_just,[status(thm)],[c_31645,c_13430,c_13647,c_31647,c_31644]) ).

cnf(c_73681,plain,
    ( X0_13 != sK64
    | X1_13 != sK63
    | X2_13 != sK64
    | X3_13 != sK63
    | ~ sP7(sK64,sK63,sK64,sK63)
    | sP7(X0_13,X1_13,X2_13,X3_13) ),
    inference(instantiation,[status(thm)],[c_10350]) ).

cnf(c_73763,plain,
    ( X0_13 != X1_13
    | sK63 != X1_13
    | X0_13 = sK63 ),
    inference(instantiation,[status(thm)],[c_10328]) ).

cnf(c_73976,plain,
    ( cons(X0_14,X0_13) != X1_13
    | X2_13 != X1_13
    | X2_13 = cons(X0_14,X0_13) ),
    inference(instantiation,[status(thm)],[c_10328]) ).

cnf(c_78133,plain,
    ( cons(sK52(sK63),sK51(sK63)) != sK63
    | X0_13 != sK64
    | X1_13 != sK63
    | X2_13 != sK64
    | ~ sP7(sK64,sK63,sK64,sK63)
    | sP7(X0_13,X1_13,X2_13,cons(sK52(sK63),sK51(sK63))) ),
    inference(instantiation,[status(thm)],[c_73681]) ).

cnf(c_78137,plain,
    ( cons(sK52(sK63),sK51(sK63)) != sK63
    | X0_13 != sK63
    | X0_13 = cons(sK52(sK63),sK51(sK63)) ),
    inference(instantiation,[status(thm)],[c_73976]) ).

cnf(c_78156,plain,
    ( cons(hd(sK63),tl(sK63)) != sK63
    | X0_13 != sK64
    | X1_13 != sK63
    | X2_13 != sK64
    | ~ sP7(sK64,sK63,sK64,sK63)
    | sP7(X0_13,X1_13,X2_13,cons(hd(sK63),tl(sK63))) ),
    inference(instantiation,[status(thm)],[c_73681]) ).

cnf(c_78160,plain,
    ( cons(hd(sK63),tl(sK63)) != sK63
    | X0_13 != sK63
    | X0_13 = cons(hd(sK63),tl(sK63)) ),
    inference(instantiation,[status(thm)],[c_73976]) ).

cnf(c_78490,plain,
    ( app(app(cons(sK59(sK63,sK64),nil),sK60(sK63,sK64)),cons(sK58(sK63,sK64),nil)) != X0_13
    | sK63 != X0_13
    | app(app(cons(sK59(sK63,sK64),nil),sK60(sK63,sK64)),cons(sK58(sK63,sK64),nil)) = sK63 ),
    inference(instantiation,[status(thm)],[c_73763]) ).

cnf(c_81333,plain,
    ( app(app(cons(sK58(sK63,sK64),nil),sK60(sK63,sK64)),cons(sK59(sK63,sK64),nil)) != sK64
    | cons(sK52(sK63),sK51(sK63)) != sK63
    | X0_13 != sK64
    | X1_13 != sK63
    | ~ sP7(sK64,sK63,sK64,sK63)
    | sP7(X0_13,X1_13,app(app(cons(sK58(sK63,sK64),nil),sK60(sK63,sK64)),cons(sK59(sK63,sK64),nil)),cons(sK52(sK63),sK51(sK63))) ),
    inference(instantiation,[status(thm)],[c_78133]) ).

cnf(c_81369,plain,
    ( app(app(cons(sK58(sK63,sK64),nil),sK60(sK63,sK64)),cons(sK59(sK63,sK64),nil)) != sK64
    | cons(hd(sK63),tl(sK63)) != sK63
    | X0_13 != sK64
    | X1_13 != sK63
    | ~ sP7(sK64,sK63,sK64,sK63)
    | sP7(X0_13,X1_13,app(app(cons(sK58(sK63,sK64),nil),sK60(sK63,sK64)),cons(sK59(sK63,sK64),nil)),cons(hd(sK63),tl(sK63))) ),
    inference(instantiation,[status(thm)],[c_78156]) ).

cnf(c_83914,plain,
    ( cons(sK52(sK63),sK51(sK63)) != sK63
    | sK63 != sK63
    | sK63 = cons(sK52(sK63),sK51(sK63)) ),
    inference(instantiation,[status(thm)],[c_78137]) ).

cnf(c_84029,plain,
    ( cons(hd(sK63),tl(sK63)) != sK63
    | sK63 != sK63
    | sK63 = cons(hd(sK63),tl(sK63)) ),
    inference(instantiation,[status(thm)],[c_78160]) ).

cnf(c_85962,plain,
    ( app(app(cons(sK59(sK63,sK64),nil),sK60(sK63,sK64)),cons(sK58(sK63,sK64),nil)) != cons(sK52(sK63),sK51(sK63))
    | sK63 != cons(sK52(sK63),sK51(sK63))
    | app(app(cons(sK59(sK63,sK64),nil),sK60(sK63,sK64)),cons(sK58(sK63,sK64),nil)) = sK63 ),
    inference(instantiation,[status(thm)],[c_78490]) ).

cnf(c_86059,plain,
    ( app(app(cons(sK59(sK63,sK64),nil),sK60(sK63,sK64)),cons(sK58(sK63,sK64),nil)) != cons(hd(sK63),tl(sK63))
    | sK63 != cons(hd(sK63),tl(sK63))
    | app(app(cons(sK59(sK63,sK64),nil),sK60(sK63,sK64)),cons(sK58(sK63,sK64),nil)) = sK63 ),
    inference(instantiation,[status(thm)],[c_78490]) ).

cnf(c_86778,plain,
    ( app(app(cons(sK58(sK63,sK64),nil),sK60(sK63,sK64)),cons(sK59(sK63,sK64),nil)) != sK64
    | cons(sK52(sK63),sK51(sK63)) != sK63
    | X0_13 != sK63
    | ~ sP7(sK64,sK63,sK64,sK63)
    | sP7(app(app(cons(sK58(sK63,sK64),nil),sK60(sK63,sK64)),cons(sK59(sK63,sK64),nil)),X0_13,app(app(cons(sK58(sK63,sK64),nil),sK60(sK63,sK64)),cons(sK59(sK63,sK64),nil)),cons(sK52(sK63),sK51(sK63))) ),
    inference(instantiation,[status(thm)],[c_81333]) ).

cnf(c_86817,plain,
    ( app(app(cons(sK58(sK63,sK64),nil),sK60(sK63,sK64)),cons(sK59(sK63,sK64),nil)) != sK64
    | cons(hd(sK63),tl(sK63)) != sK63
    | X0_13 != sK63
    | ~ sP7(sK64,sK63,sK64,sK63)
    | sP7(app(app(cons(sK58(sK63,sK64),nil),sK60(sK63,sK64)),cons(sK59(sK63,sK64),nil)),X0_13,app(app(cons(sK58(sK63,sK64),nil),sK60(sK63,sK64)),cons(sK59(sK63,sK64),nil)),cons(hd(sK63),tl(sK63))) ),
    inference(instantiation,[status(thm)],[c_81369]) ).

cnf(c_86818,plain,
    ( app(app(cons(sK58(sK63,sK64),nil),sK60(sK63,sK64)),cons(sK59(sK63,sK64),nil)) != sK64
    | cons(hd(sK63),tl(sK63)) != sK63
    | nil != sK63
    | ~ sP7(sK64,sK63,sK64,sK63)
    | sP7(app(app(cons(sK58(sK63,sK64),nil),sK60(sK63,sK64)),cons(sK59(sK63,sK64),nil)),nil,app(app(cons(sK58(sK63,sK64),nil),sK60(sK63,sK64)),cons(sK59(sK63,sK64),nil)),cons(hd(sK63),tl(sK63))) ),
    inference(instantiation,[status(thm)],[c_86817]) ).

cnf(c_90171,plain,
    ( ~ sP7(app(app(cons(sK58(sK63,sK64),nil),sK60(sK63,sK64)),cons(sK59(sK63,sK64),nil)),X0_13,app(app(cons(sK58(sK63,sK64),nil),sK60(sK63,sK64)),cons(sK59(sK63,sK64),nil)),cons(sK52(sK63),sK51(sK63)))
    | ~ ssItem(sK59(sK63,sK64))
    | ~ ssItem(sK58(sK63,sK64))
    | ~ ssList(sK60(sK63,sK64))
    | app(app(cons(sK59(sK63,sK64),nil),sK60(sK63,sK64)),cons(sK58(sK63,sK64),nil)) = cons(sK52(sK63),sK51(sK63)) ),
    inference(instantiation,[status(thm)],[c_10140]) ).

cnf(c_90179,plain,
    ( ~ sP7(app(app(cons(sK58(sK63,sK64),nil),sK60(sK63,sK64)),cons(sK59(sK63,sK64),nil)),X0_13,app(app(cons(sK58(sK63,sK64),nil),sK60(sK63,sK64)),cons(sK59(sK63,sK64),nil)),cons(hd(sK63),tl(sK63)))
    | ~ ssItem(sK59(sK63,sK64))
    | ~ ssItem(sK58(sK63,sK64))
    | ~ ssList(sK60(sK63,sK64))
    | app(app(cons(sK59(sK63,sK64),nil),sK60(sK63,sK64)),cons(sK58(sK63,sK64),nil)) = cons(hd(sK63),tl(sK63)) ),
    inference(instantiation,[status(thm)],[c_10140]) ).

cnf(c_90180,plain,
    ( ~ sP7(app(app(cons(sK58(sK63,sK64),nil),sK60(sK63,sK64)),cons(sK59(sK63,sK64),nil)),nil,app(app(cons(sK58(sK63,sK64),nil),sK60(sK63,sK64)),cons(sK59(sK63,sK64),nil)),cons(hd(sK63),tl(sK63)))
    | ~ ssItem(sK59(sK63,sK64))
    | ~ ssItem(sK58(sK63,sK64))
    | ~ ssList(sK60(sK63,sK64))
    | app(app(cons(sK59(sK63,sK64),nil),sK60(sK63,sK64)),cons(sK58(sK63,sK64),nil)) = cons(hd(sK63),tl(sK63)) ),
    inference(instantiation,[status(thm)],[c_90179]) ).

cnf(c_90633,plain,
    ( ~ sP7(app(app(cons(sK58(sK63,sK64),nil),sK60(sK63,sK64)),cons(sK59(sK63,sK64),nil)),X0_13,app(app(cons(sK58(sK63,sK64),nil),sK60(sK63,sK64)),cons(sK59(sK63,sK64),nil)),X1_13)
    | ~ ssItem(sK59(sK63,sK64))
    | ~ ssItem(sK58(sK63,sK64))
    | ~ ssList(sK60(sK63,sK64))
    | app(app(cons(sK59(sK63,sK64),nil),sK60(sK63,sK64)),cons(sK58(sK63,sK64),nil)) = X1_13 ),
    inference(instantiation,[status(thm)],[c_10140]) ).

cnf(c_90634,plain,
    ( ~ sP7(app(app(cons(sK58(sK63,sK64),nil),sK60(sK63,sK64)),cons(sK59(sK63,sK64),nil)),nil,app(app(cons(sK58(sK63,sK64),nil),sK60(sK63,sK64)),cons(sK59(sK63,sK64),nil)),nil)
    | ~ ssItem(sK59(sK63,sK64))
    | ~ ssItem(sK58(sK63,sK64))
    | ~ ssList(sK60(sK63,sK64))
    | app(app(cons(sK59(sK63,sK64),nil),sK60(sK63,sK64)),cons(sK58(sK63,sK64),nil)) = nil ),
    inference(instantiation,[status(thm)],[c_90633]) ).

cnf(c_97576,plain,
    ( app(app(cons(sK58(sK63,sK64),nil),sK60(sK63,sK64)),cons(sK59(sK63,sK64),nil)) != sK64
    | cons(sK52(sK63),sK51(sK63)) != sK63
    | app(sK63,nil) != sK63
    | ~ sP7(sK64,sK63,sK64,sK63)
    | sP7(app(app(cons(sK58(sK63,sK64),nil),sK60(sK63,sK64)),cons(sK59(sK63,sK64),nil)),app(sK63,nil),app(app(cons(sK58(sK63,sK64),nil),sK60(sK63,sK64)),cons(sK59(sK63,sK64),nil)),cons(sK52(sK63),sK51(sK63))) ),
    inference(instantiation,[status(thm)],[c_86778]) ).

cnf(c_97851,plain,
    ( ~ sP7(app(app(cons(sK58(sK63,sK64),nil),sK60(sK63,sK64)),cons(sK59(sK63,sK64),nil)),app(sK63,nil),app(app(cons(sK58(sK63,sK64),nil),sK60(sK63,sK64)),cons(sK59(sK63,sK64),nil)),cons(sK52(sK63),sK51(sK63)))
    | ~ ssItem(sK59(sK63,sK64))
    | ~ ssItem(sK58(sK63,sK64))
    | ~ ssList(sK60(sK63,sK64))
    | app(app(cons(sK59(sK63,sK64),nil),sK60(sK63,sK64)),cons(sK58(sK63,sK64),nil)) = cons(sK52(sK63),sK51(sK63)) ),
    inference(instantiation,[status(thm)],[c_90171]) ).

cnf(c_97852,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_97851,c_97576,c_90634,c_90180,c_86818,c_86059,c_85962,c_84029,c_83914,c_46756,c_39637,c_22147,c_21901,c_17332,c_17016,c_14614,c_14582,c_14049,c_14046,c_14044,c_14042,c_13920,c_13654,c_13655,c_13656,c_13657,c_13658,c_265]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWC412+1 : TPTP v8.2.0. Released v2.4.0.
% 0.03/0.12  % Command  : run_iprover %s %d THM
% 0.12/0.32  % Computer : n008.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 300
% 0.12/0.32  % DateTime : Thu Jun 20 02:18:39 EDT 2024
% 0.12/0.32  % CPUTime  : 
% 0.19/0.45  Running first-order theorem proving
% 0.19/0.45  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
% 57.88/8.76  % SZS status Started for theBenchmark.p
% 57.88/8.76  % SZS status Theorem for theBenchmark.p
% 57.88/8.76  
% 57.88/8.76  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 57.88/8.76  
% 57.88/8.76  ------  iProver source info
% 57.88/8.76  
% 57.88/8.76  git: date: 2024-06-12 09:56:46 +0000
% 57.88/8.76  git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 57.88/8.76  git: non_committed_changes: false
% 57.88/8.76  
% 57.88/8.76  ------ Parsing...
% 57.88/8.76  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 57.88/8.76  
% 57.88/8.76  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe_e  sup_sim: 0  sf_s  rm: 4 0s  sf_e  pe_s  pe_e 
% 57.88/8.76  
% 57.88/8.76  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 57.88/8.76  
% 57.88/8.76  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 57.88/8.76  ------ Proving...
% 57.88/8.76  ------ Problem Properties 
% 57.88/8.76  
% 57.88/8.76  
% 57.88/8.76  clauses                                 202
% 57.88/8.76  conjectures                             7
% 57.88/8.76  EPR                                     56
% 57.88/8.76  Horn                                    130
% 57.88/8.76  unary                                   22
% 57.88/8.76  binary                                  54
% 57.88/8.76  lits                                    662
% 57.88/8.76  lits eq                                 88
% 57.88/8.76  fd_pure                                 0
% 57.88/8.76  fd_pseudo                               0
% 57.88/8.76  fd_cond                                 21
% 57.88/8.76  fd_pseudo_cond                          15
% 57.88/8.76  AC symbols                              0
% 57.88/8.76  
% 57.88/8.76  ------ Input Options Time Limit: Unbounded
% 57.88/8.76  
% 57.88/8.76  
% 57.88/8.76  ------ 
% 57.88/8.76  Current options:
% 57.88/8.76  ------ 
% 57.88/8.76  
% 57.88/8.76  
% 57.88/8.76  
% 57.88/8.76  
% 57.88/8.76  ------ Proving...
% 57.88/8.76  
% 57.88/8.76  
% 57.88/8.76  % SZS status Theorem for theBenchmark.p
% 57.88/8.76  
% 57.88/8.76  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 57.88/8.76  
% 57.88/8.77  
%------------------------------------------------------------------------------