TSTP Solution File: SWC279+1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SWC279+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n012.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Aug 31 20:42:13 EDT 2023

% Result   : Theorem 3.95s 1.21s
% Output   : CNFRefutation 3.95s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   51 (  17 unt;   0 def)
%            Number of atoms       :  470 (  70 equ)
%            Maximal formula atoms :   48 (   9 avg)
%            Number of connectives :  606 ( 187   ~; 168   |; 219   &)
%                                         (   0 <=>;  32  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   23 (   7 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   9 con; 0-2 aty)
%            Number of variables   :  180 (   0 sgn;  76   !;  92   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f96,conjecture,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ! [X3] :
                  ( ssList(X3)
                 => ( ! [X8] :
                        ( ssItem(X8)
                       => ! [X9] :
                            ( ssList(X9)
                           => ! [X10] :
                                ( ssList(X10)
                               => ( ! [X11] :
                                      ( ssItem(X11)
                                     => ( ( leq(X8,X11)
                                          | ~ memberP(X10,X11) )
                                        & ( leq(X11,X8)
                                          | ~ memberP(X9,X11) ) ) )
                                  | app(app(X9,cons(X8,nil)),X10) != X0 ) ) ) )
                    | ? [X4] :
                        ( ? [X5] :
                            ( ? [X6] :
                                ( ? [X7] :
                                    ( ( ( memberP(X5,X7)
                                        & ~ leq(X7,X4) )
                                      | ( memberP(X6,X7)
                                        & ~ leq(X4,X7) ) )
                                    & ssItem(X7) )
                                & app(app(X5,cons(X4,nil)),X6) = X2
                                & ssList(X6) )
                            & ssList(X5) )
                        & ssItem(X4) )
                    | X0 != X2
                    | X1 != X3 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

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

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

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

fof(f223,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ? [X4] :
                      ( ? [X5] :
                          ( ? [X6] :
                              ( ? [X7] :
                                  ( ( ( ~ leq(X4,X7)
                                      & memberP(X6,X7) )
                                    | ( ~ leq(X7,X4)
                                      & memberP(X5,X7) ) )
                                  & ssItem(X7) )
                              & app(app(X5,cons(X4,nil)),X6) = X0
                              & ssList(X6) )
                          & ssList(X5) )
                      & ssItem(X4) )
                  & ! [X8] :
                      ( ! [X9] :
                          ( ! [X10] :
                              ( ! [X11] :
                                  ( ( ( ~ memberP(X9,X11)
                                      | leq(X11,X8) )
                                    & ( ~ memberP(X10,X11)
                                      | leq(X8,X11) ) )
                                  | ~ ssItem(X11) )
                              | app(app(X9,cons(X8,nil)),X10) != X2
                              | ~ ssList(X10) )
                          | ~ ssList(X9) )
                      | ~ ssItem(X8) )
                  & X0 = X2
                  & X1 = X3
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(flattening,[],[f222]) ).

fof(f344,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( ? [X2] :
                ( ? [X3] :
                    ( ? [X4] :
                        ( ? [X5] :
                            ( ? [X6] :
                                ( ? [X7] :
                                    ( ( ( ~ leq(X4,X7)
                                        & memberP(X6,X7) )
                                      | ( ~ leq(X7,X4)
                                        & memberP(X5,X7) ) )
                                    & ssItem(X7) )
                                & app(app(X5,cons(X4,nil)),X6) = X0
                                & ssList(X6) )
                            & ssList(X5) )
                        & ssItem(X4) )
                    & ! [X8] :
                        ( ! [X9] :
                            ( ! [X10] :
                                ( ! [X11] :
                                    ( ( ( ~ memberP(X9,X11)
                                        | leq(X11,X8) )
                                      & ( ~ memberP(X10,X11)
                                        | leq(X8,X11) ) )
                                    | ~ ssItem(X11) )
                                | app(app(X9,cons(X8,nil)),X10) != X2
                                | ~ ssList(X10) )
                            | ~ ssList(X9) )
                        | ~ ssItem(X8) )
                    & X0 = X2
                    & X1 = X3
                    & ssList(X3) )
                & ssList(X2) )
            & ssList(X1) )
        & ssList(X0) )
   => ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ? [X4] :
                      ( ? [X5] :
                          ( ? [X6] :
                              ( ? [X7] :
                                  ( ( ( ~ leq(X4,X7)
                                      & memberP(X6,X7) )
                                    | ( ~ leq(X7,X4)
                                      & memberP(X5,X7) ) )
                                  & ssItem(X7) )
                              & app(app(X5,cons(X4,nil)),X6) = sK53
                              & ssList(X6) )
                          & ssList(X5) )
                      & ssItem(X4) )
                  & ! [X8] :
                      ( ! [X9] :
                          ( ! [X10] :
                              ( ! [X11] :
                                  ( ( ( ~ memberP(X9,X11)
                                      | leq(X11,X8) )
                                    & ( ~ memberP(X10,X11)
                                      | leq(X8,X11) ) )
                                  | ~ ssItem(X11) )
                              | app(app(X9,cons(X8,nil)),X10) != X2
                              | ~ ssList(X10) )
                          | ~ ssList(X9) )
                      | ~ ssItem(X8) )
                  & sK53 = X2
                  & X1 = X3
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(sK53) ) ),
    introduced(choice_axiom,[]) ).

fof(f345,plain,
    ( ? [X1] :
        ( ? [X2] :
            ( ? [X3] :
                ( ? [X4] :
                    ( ? [X5] :
                        ( ? [X6] :
                            ( ? [X7] :
                                ( ( ( ~ leq(X4,X7)
                                    & memberP(X6,X7) )
                                  | ( ~ leq(X7,X4)
                                    & memberP(X5,X7) ) )
                                & ssItem(X7) )
                            & app(app(X5,cons(X4,nil)),X6) = sK53
                            & ssList(X6) )
                        & ssList(X5) )
                    & ssItem(X4) )
                & ! [X8] :
                    ( ! [X9] :
                        ( ! [X10] :
                            ( ! [X11] :
                                ( ( ( ~ memberP(X9,X11)
                                    | leq(X11,X8) )
                                  & ( ~ memberP(X10,X11)
                                    | leq(X8,X11) ) )
                                | ~ ssItem(X11) )
                            | app(app(X9,cons(X8,nil)),X10) != X2
                            | ~ ssList(X10) )
                        | ~ ssList(X9) )
                    | ~ ssItem(X8) )
                & sK53 = X2
                & X1 = X3
                & ssList(X3) )
            & ssList(X2) )
        & ssList(X1) )
   => ( ? [X2] :
          ( ? [X3] :
              ( ? [X4] :
                  ( ? [X5] :
                      ( ? [X6] :
                          ( ? [X7] :
                              ( ( ( ~ leq(X4,X7)
                                  & memberP(X6,X7) )
                                | ( ~ leq(X7,X4)
                                  & memberP(X5,X7) ) )
                              & ssItem(X7) )
                          & app(app(X5,cons(X4,nil)),X6) = sK53
                          & ssList(X6) )
                      & ssList(X5) )
                  & ssItem(X4) )
              & ! [X8] :
                  ( ! [X9] :
                      ( ! [X10] :
                          ( ! [X11] :
                              ( ( ( ~ memberP(X9,X11)
                                  | leq(X11,X8) )
                                & ( ~ memberP(X10,X11)
                                  | leq(X8,X11) ) )
                              | ~ ssItem(X11) )
                          | app(app(X9,cons(X8,nil)),X10) != X2
                          | ~ ssList(X10) )
                      | ~ ssList(X9) )
                  | ~ ssItem(X8) )
              & sK53 = X2
              & sK54 = X3
              & ssList(X3) )
          & ssList(X2) )
      & ssList(sK54) ) ),
    introduced(choice_axiom,[]) ).

fof(f346,plain,
    ( ? [X2] :
        ( ? [X3] :
            ( ? [X4] :
                ( ? [X5] :
                    ( ? [X6] :
                        ( ? [X7] :
                            ( ( ( ~ leq(X4,X7)
                                & memberP(X6,X7) )
                              | ( ~ leq(X7,X4)
                                & memberP(X5,X7) ) )
                            & ssItem(X7) )
                        & app(app(X5,cons(X4,nil)),X6) = sK53
                        & ssList(X6) )
                    & ssList(X5) )
                & ssItem(X4) )
            & ! [X8] :
                ( ! [X9] :
                    ( ! [X10] :
                        ( ! [X11] :
                            ( ( ( ~ memberP(X9,X11)
                                | leq(X11,X8) )
                              & ( ~ memberP(X10,X11)
                                | leq(X8,X11) ) )
                            | ~ ssItem(X11) )
                        | app(app(X9,cons(X8,nil)),X10) != X2
                        | ~ ssList(X10) )
                    | ~ ssList(X9) )
                | ~ ssItem(X8) )
            & sK53 = X2
            & sK54 = X3
            & ssList(X3) )
        & ssList(X2) )
   => ( ? [X3] :
          ( ? [X4] :
              ( ? [X5] :
                  ( ? [X6] :
                      ( ? [X7] :
                          ( ( ( ~ leq(X4,X7)
                              & memberP(X6,X7) )
                            | ( ~ leq(X7,X4)
                              & memberP(X5,X7) ) )
                          & ssItem(X7) )
                      & app(app(X5,cons(X4,nil)),X6) = sK53
                      & ssList(X6) )
                  & ssList(X5) )
              & ssItem(X4) )
          & ! [X8] :
              ( ! [X9] :
                  ( ! [X10] :
                      ( ! [X11] :
                          ( ( ( ~ memberP(X9,X11)
                              | leq(X11,X8) )
                            & ( ~ memberP(X10,X11)
                              | leq(X8,X11) ) )
                          | ~ ssItem(X11) )
                      | app(app(X9,cons(X8,nil)),X10) != sK55
                      | ~ ssList(X10) )
                  | ~ ssList(X9) )
              | ~ ssItem(X8) )
          & sK53 = sK55
          & sK54 = X3
          & ssList(X3) )
      & ssList(sK55) ) ),
    introduced(choice_axiom,[]) ).

fof(f347,plain,
    ( ? [X3] :
        ( ? [X4] :
            ( ? [X5] :
                ( ? [X6] :
                    ( ? [X7] :
                        ( ( ( ~ leq(X4,X7)
                            & memberP(X6,X7) )
                          | ( ~ leq(X7,X4)
                            & memberP(X5,X7) ) )
                        & ssItem(X7) )
                    & app(app(X5,cons(X4,nil)),X6) = sK53
                    & ssList(X6) )
                & ssList(X5) )
            & ssItem(X4) )
        & ! [X8] :
            ( ! [X9] :
                ( ! [X10] :
                    ( ! [X11] :
                        ( ( ( ~ memberP(X9,X11)
                            | leq(X11,X8) )
                          & ( ~ memberP(X10,X11)
                            | leq(X8,X11) ) )
                        | ~ ssItem(X11) )
                    | app(app(X9,cons(X8,nil)),X10) != sK55
                    | ~ ssList(X10) )
                | ~ ssList(X9) )
            | ~ ssItem(X8) )
        & sK53 = sK55
        & sK54 = X3
        & ssList(X3) )
   => ( ? [X4] :
          ( ? [X5] :
              ( ? [X6] :
                  ( ? [X7] :
                      ( ( ( ~ leq(X4,X7)
                          & memberP(X6,X7) )
                        | ( ~ leq(X7,X4)
                          & memberP(X5,X7) ) )
                      & ssItem(X7) )
                  & app(app(X5,cons(X4,nil)),X6) = sK53
                  & ssList(X6) )
              & ssList(X5) )
          & ssItem(X4) )
      & ! [X8] :
          ( ! [X9] :
              ( ! [X10] :
                  ( ! [X11] :
                      ( ( ( ~ memberP(X9,X11)
                          | leq(X11,X8) )
                        & ( ~ memberP(X10,X11)
                          | leq(X8,X11) ) )
                      | ~ ssItem(X11) )
                  | app(app(X9,cons(X8,nil)),X10) != sK55
                  | ~ ssList(X10) )
              | ~ ssList(X9) )
          | ~ ssItem(X8) )
      & sK53 = sK55
      & sK54 = sK56
      & ssList(sK56) ) ),
    introduced(choice_axiom,[]) ).

fof(f348,plain,
    ( ? [X4] :
        ( ? [X5] :
            ( ? [X6] :
                ( ? [X7] :
                    ( ( ( ~ leq(X4,X7)
                        & memberP(X6,X7) )
                      | ( ~ leq(X7,X4)
                        & memberP(X5,X7) ) )
                    & ssItem(X7) )
                & app(app(X5,cons(X4,nil)),X6) = sK53
                & ssList(X6) )
            & ssList(X5) )
        & ssItem(X4) )
   => ( ? [X5] :
          ( ? [X6] :
              ( ? [X7] :
                  ( ( ( ~ leq(sK57,X7)
                      & memberP(X6,X7) )
                    | ( ~ leq(X7,sK57)
                      & memberP(X5,X7) ) )
                  & ssItem(X7) )
              & sK53 = app(app(X5,cons(sK57,nil)),X6)
              & ssList(X6) )
          & ssList(X5) )
      & ssItem(sK57) ) ),
    introduced(choice_axiom,[]) ).

fof(f349,plain,
    ( ? [X5] :
        ( ? [X6] :
            ( ? [X7] :
                ( ( ( ~ leq(sK57,X7)
                    & memberP(X6,X7) )
                  | ( ~ leq(X7,sK57)
                    & memberP(X5,X7) ) )
                & ssItem(X7) )
            & sK53 = app(app(X5,cons(sK57,nil)),X6)
            & ssList(X6) )
        & ssList(X5) )
   => ( ? [X6] :
          ( ? [X7] :
              ( ( ( ~ leq(sK57,X7)
                  & memberP(X6,X7) )
                | ( ~ leq(X7,sK57)
                  & memberP(sK58,X7) ) )
              & ssItem(X7) )
          & sK53 = app(app(sK58,cons(sK57,nil)),X6)
          & ssList(X6) )
      & ssList(sK58) ) ),
    introduced(choice_axiom,[]) ).

fof(f350,plain,
    ( ? [X6] :
        ( ? [X7] :
            ( ( ( ~ leq(sK57,X7)
                & memberP(X6,X7) )
              | ( ~ leq(X7,sK57)
                & memberP(sK58,X7) ) )
            & ssItem(X7) )
        & sK53 = app(app(sK58,cons(sK57,nil)),X6)
        & ssList(X6) )
   => ( ? [X7] :
          ( ( ( ~ leq(sK57,X7)
              & memberP(sK59,X7) )
            | ( ~ leq(X7,sK57)
              & memberP(sK58,X7) ) )
          & ssItem(X7) )
      & sK53 = app(app(sK58,cons(sK57,nil)),sK59)
      & ssList(sK59) ) ),
    introduced(choice_axiom,[]) ).

fof(f351,plain,
    ( ? [X7] :
        ( ( ( ~ leq(sK57,X7)
            & memberP(sK59,X7) )
          | ( ~ leq(X7,sK57)
            & memberP(sK58,X7) ) )
        & ssItem(X7) )
   => ( ( ( ~ leq(sK57,sK60)
          & memberP(sK59,sK60) )
        | ( ~ leq(sK60,sK57)
          & memberP(sK58,sK60) ) )
      & ssItem(sK60) ) ),
    introduced(choice_axiom,[]) ).

fof(f352,plain,
    ( ( ( ~ leq(sK57,sK60)
        & memberP(sK59,sK60) )
      | ( ~ leq(sK60,sK57)
        & memberP(sK58,sK60) ) )
    & ssItem(sK60)
    & sK53 = app(app(sK58,cons(sK57,nil)),sK59)
    & ssList(sK59)
    & ssList(sK58)
    & ssItem(sK57)
    & ! [X8] :
        ( ! [X9] :
            ( ! [X10] :
                ( ! [X11] :
                    ( ( ( ~ memberP(X9,X11)
                        | leq(X11,X8) )
                      & ( ~ memberP(X10,X11)
                        | leq(X8,X11) ) )
                    | ~ ssItem(X11) )
                | app(app(X9,cons(X8,nil)),X10) != sK55
                | ~ ssList(X10) )
            | ~ ssList(X9) )
        | ~ ssItem(X8) )
    & 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])],[f223,f351,f350,f349,f348,f347,f346,f345,f344]) ).

fof(f557,plain,
    sK53 = sK55,
    inference(cnf_transformation,[],[f352]) ).

fof(f558,plain,
    ! [X10,X11,X8,X9] :
      ( ~ memberP(X10,X11)
      | leq(X8,X11)
      | ~ ssItem(X11)
      | app(app(X9,cons(X8,nil)),X10) != sK55
      | ~ ssList(X10)
      | ~ ssList(X9)
      | ~ ssItem(X8) ),
    inference(cnf_transformation,[],[f352]) ).

fof(f559,plain,
    ! [X10,X11,X8,X9] :
      ( ~ memberP(X9,X11)
      | leq(X11,X8)
      | ~ ssItem(X11)
      | app(app(X9,cons(X8,nil)),X10) != sK55
      | ~ ssList(X10)
      | ~ ssList(X9)
      | ~ ssItem(X8) ),
    inference(cnf_transformation,[],[f352]) ).

fof(f560,plain,
    ssItem(sK57),
    inference(cnf_transformation,[],[f352]) ).

fof(f561,plain,
    ssList(sK58),
    inference(cnf_transformation,[],[f352]) ).

fof(f562,plain,
    ssList(sK59),
    inference(cnf_transformation,[],[f352]) ).

fof(f563,plain,
    sK53 = app(app(sK58,cons(sK57,nil)),sK59),
    inference(cnf_transformation,[],[f352]) ).

fof(f564,plain,
    ssItem(sK60),
    inference(cnf_transformation,[],[f352]) ).

fof(f565,plain,
    ( memberP(sK59,sK60)
    | memberP(sK58,sK60) ),
    inference(cnf_transformation,[],[f352]) ).

fof(f566,plain,
    ( memberP(sK59,sK60)
    | ~ leq(sK60,sK57) ),
    inference(cnf_transformation,[],[f352]) ).

fof(f567,plain,
    ( ~ leq(sK57,sK60)
    | memberP(sK58,sK60) ),
    inference(cnf_transformation,[],[f352]) ).

fof(f568,plain,
    ( ~ leq(sK57,sK60)
    | ~ leq(sK60,sK57) ),
    inference(cnf_transformation,[],[f352]) ).

fof(f569,plain,
    sK55 = app(app(sK58,cons(sK57,nil)),sK59),
    inference(definition_unfolding,[],[f563,f557]) ).

cnf(c_246,negated_conjecture,
    ( ~ leq(sK57,sK60)
    | ~ leq(sK60,sK57) ),
    inference(cnf_transformation,[],[f568]) ).

cnf(c_247,negated_conjecture,
    ( ~ leq(sK57,sK60)
    | memberP(sK58,sK60) ),
    inference(cnf_transformation,[],[f567]) ).

cnf(c_248,negated_conjecture,
    ( ~ leq(sK60,sK57)
    | memberP(sK59,sK60) ),
    inference(cnf_transformation,[],[f566]) ).

cnf(c_249,negated_conjecture,
    ( memberP(sK58,sK60)
    | memberP(sK59,sK60) ),
    inference(cnf_transformation,[],[f565]) ).

cnf(c_250,negated_conjecture,
    ssItem(sK60),
    inference(cnf_transformation,[],[f564]) ).

cnf(c_251,negated_conjecture,
    app(app(sK58,cons(sK57,nil)),sK59) = sK55,
    inference(cnf_transformation,[],[f569]) ).

cnf(c_252,negated_conjecture,
    ssList(sK59),
    inference(cnf_transformation,[],[f562]) ).

cnf(c_253,negated_conjecture,
    ssList(sK58),
    inference(cnf_transformation,[],[f561]) ).

cnf(c_254,negated_conjecture,
    ssItem(sK57),
    inference(cnf_transformation,[],[f560]) ).

cnf(c_255,negated_conjecture,
    ( app(app(X0,cons(X1,nil)),X2) != sK55
    | ~ memberP(X0,X3)
    | ~ ssItem(X1)
    | ~ ssItem(X3)
    | ~ ssList(X0)
    | ~ ssList(X2)
    | leq(X3,X1) ),
    inference(cnf_transformation,[],[f559]) ).

cnf(c_256,negated_conjecture,
    ( app(app(X0,cons(X1,nil)),X2) != sK55
    | ~ memberP(X2,X3)
    | ~ ssItem(X1)
    | ~ ssItem(X3)
    | ~ ssList(X0)
    | ~ ssList(X2)
    | leq(X1,X3) ),
    inference(cnf_transformation,[],[f558]) ).

cnf(c_11889,plain,
    ( ~ memberP(sK58,X0)
    | ~ ssItem(X0)
    | ~ ssItem(sK57)
    | ~ ssList(sK58)
    | ~ ssList(sK59)
    | leq(X0,sK57) ),
    inference(superposition,[status(thm)],[c_251,c_255]) ).

cnf(c_11890,plain,
    ( ~ memberP(sK58,X0)
    | ~ ssItem(X0)
    | leq(X0,sK57) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_11889,c_252,c_253,c_254]) ).

cnf(c_11909,plain,
    ( ~ memberP(sK59,X0)
    | ~ ssItem(X0)
    | ~ ssItem(sK57)
    | ~ ssList(sK58)
    | ~ ssList(sK59)
    | leq(sK57,X0) ),
    inference(superposition,[status(thm)],[c_251,c_256]) ).

cnf(c_11910,plain,
    ( ~ memberP(sK59,X0)
    | ~ ssItem(X0)
    | leq(sK57,X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_11909,c_252,c_253,c_254]) ).

cnf(c_11927,plain,
    ( ~ ssItem(sK60)
    | memberP(sK58,sK60)
    | leq(sK57,sK60) ),
    inference(superposition,[status(thm)],[c_249,c_11910]) ).

cnf(c_11928,plain,
    ( memberP(sK58,sK60)
    | leq(sK57,sK60) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_11927,c_250]) ).

cnf(c_11931,plain,
    memberP(sK58,sK60),
    inference(global_subsumption_just,[status(thm)],[c_11928,c_247,c_11928]) ).

cnf(c_11933,plain,
    ( ~ ssItem(sK60)
    | leq(sK60,sK57) ),
    inference(superposition,[status(thm)],[c_11931,c_11890]) ).

cnf(c_11934,plain,
    leq(sK60,sK57),
    inference(forward_subsumption_resolution,[status(thm)],[c_11933,c_250]) ).

cnf(c_11935,plain,
    memberP(sK59,sK60),
    inference(backward_subsumption_resolution,[status(thm)],[c_248,c_11934]) ).

cnf(c_11937,plain,
    ( ~ ssItem(sK60)
    | leq(sK57,sK60) ),
    inference(superposition,[status(thm)],[c_11935,c_11910]) ).

cnf(c_11938,plain,
    leq(sK57,sK60),
    inference(forward_subsumption_resolution,[status(thm)],[c_11937,c_250]) ).

cnf(c_11939,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_11938,c_11934,c_246]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SWC279+1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.13  % Command  : run_iprover %s %d THM
% 0.17/0.35  % Computer : n012.cluster.edu
% 0.17/0.35  % Model    : x86_64 x86_64
% 0.17/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35  % Memory   : 8042.1875MB
% 0.17/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35  % CPULimit : 300
% 0.17/0.35  % WCLimit  : 300
% 0.17/0.35  % DateTime : Mon Aug 28 14:45:54 EDT 2023
% 0.21/0.35  % CPUTime  : 
% 0.21/0.49  Running first-order theorem proving
% 0.21/0.49  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.95/1.21  % SZS status Started for theBenchmark.p
% 3.95/1.21  % SZS status Theorem for theBenchmark.p
% 3.95/1.21  
% 3.95/1.21  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.95/1.21  
% 3.95/1.21  ------  iProver source info
% 3.95/1.21  
% 3.95/1.21  git: date: 2023-05-31 18:12:56 +0000
% 3.95/1.21  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.95/1.21  git: non_committed_changes: false
% 3.95/1.21  git: last_make_outside_of_git: false
% 3.95/1.21  
% 3.95/1.21  ------ Parsing...
% 3.95/1.21  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 3.95/1.21  
% 3.95/1.21  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe_e  sup_sim: 0  sf_s  rm: 4 0s  sf_e  pe_s  pe_e 
% 3.95/1.21  
% 3.95/1.21  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.95/1.21  
% 3.95/1.21  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.95/1.21  ------ Proving...
% 3.95/1.21  ------ Problem Properties 
% 3.95/1.21  
% 3.95/1.21  
% 3.95/1.21  clauses                                 193
% 3.95/1.21  conjectures                             13
% 3.95/1.21  EPR                                     59
% 3.95/1.21  Horn                                    124
% 3.95/1.21  unary                                   23
% 3.95/1.21  binary                                  44
% 3.95/1.21  lits                                    647
% 3.95/1.21  lits eq                                 81
% 3.95/1.21  fd_pure                                 0
% 3.95/1.21  fd_pseudo                               0
% 3.95/1.21  fd_cond                                 21
% 3.95/1.21  fd_pseudo_cond                          14
% 3.95/1.21  AC symbols                              0
% 3.95/1.21  
% 3.95/1.21  ------ Schedule dynamic 5 is on 
% 3.95/1.21  
% 3.95/1.21  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.95/1.21  
% 3.95/1.21  
% 3.95/1.21  ------ 
% 3.95/1.21  Current options:
% 3.95/1.21  ------ 
% 3.95/1.21  
% 3.95/1.21  
% 3.95/1.21  
% 3.95/1.21  
% 3.95/1.21  ------ Proving...
% 3.95/1.21  
% 3.95/1.21  
% 3.95/1.21  % SZS status Theorem for theBenchmark.p
% 3.95/1.21  
% 3.95/1.21  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.95/1.21  
% 3.95/1.21  
%------------------------------------------------------------------------------