TSTP Solution File: SWC098+1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SWC098+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n027.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 20:40:58 EDT 2023

% Result   : Theorem 0.78s 1.18s
% Output   : CNFRefutation 0.78s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   66 (  14 unt;   0 def)
%            Number of atoms       :  489 ( 203 equ)
%            Maximal formula atoms :   48 (   7 avg)
%            Number of connectives :  640 ( 217   ~; 210   |; 189   &)
%                                         (   0 <=>;  24  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   21 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   6 con; 0-2 aty)
%            Number of variables   :  115 (   0 sgn;  53   !;  52   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f96,conjecture,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ! [X3] :
                  ( ssList(X3)
                 => ( ( ( nil != X2
                        | nil != X3 )
                      & ! [X6] :
                          ( ssItem(X6)
                         => ( ? [X7] :
                                ( leq(X6,X7)
                                & memberP(X3,X7)
                                & X6 != X7
                                & ssItem(X7) )
                            | ~ memberP(X3,X6)
                            | cons(X6,nil) != X2 ) ) )
                    | ( nil = X0
                      & nil = X1 )
                    | ? [X4] :
                        ( memberP(X1,X4)
                        & ! [X5] :
                            ( ssItem(X5)
                           => ( X4 = X5
                              | ~ leq(X4,X5)
                              | ~ memberP(X1,X5) ) )
                        & cons(X4,nil) = X0
                        & 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)
                   => ( ( ( nil != X2
                          | nil != X3 )
                        & ! [X6] :
                            ( ssItem(X6)
                           => ( ? [X7] :
                                  ( leq(X6,X7)
                                  & memberP(X3,X7)
                                  & X6 != X7
                                  & ssItem(X7) )
                              | ~ memberP(X3,X6)
                              | cons(X6,nil) != X2 ) ) )
                      | ( nil = X0
                        & nil = X1 )
                      | ? [X4] :
                          ( memberP(X1,X4)
                          & ! [X5] :
                              ( ssItem(X5)
                             => ( X4 = X5
                                | ~ leq(X4,X5)
                                | ~ memberP(X1,X5) ) )
                          & cons(X4,nil) = X0
                          & 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)
                   => ( ( ( nil != X2
                          | nil != X3 )
                        & ! [X4] :
                            ( ssItem(X4)
                           => ( ? [X5] :
                                  ( leq(X4,X5)
                                  & memberP(X3,X5)
                                  & X4 != X5
                                  & ssItem(X5) )
                              | ~ memberP(X3,X4)
                              | cons(X4,nil) != X2 ) ) )
                      | ( nil = X0
                        & nil = X1 )
                      | ? [X6] :
                          ( memberP(X1,X6)
                          & ! [X7] :
                              ( ssItem(X7)
                             => ( X6 = X7
                                | ~ leq(X6,X7)
                                | ~ memberP(X1,X7) ) )
                          & cons(X6,nil) = X0
                          & ssItem(X6) )
                      | X0 != X2
                      | X1 != X3 ) ) ) ) ),
    inference(rectify,[],[f97]) ).

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

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

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

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

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

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

fof(f348,plain,
    ( ? [X4] :
        ( ! [X5] :
            ( ~ leq(X4,X5)
            | ~ memberP(sK56,X5)
            | X4 = X5
            | ~ ssItem(X5) )
        & memberP(sK56,X4)
        & cons(X4,nil) = sK55
        & ssItem(X4) )
   => ( ! [X5] :
          ( ~ leq(sK57,X5)
          | ~ memberP(sK56,X5)
          | sK57 = X5
          | ~ ssItem(X5) )
      & memberP(sK56,sK57)
      & sK55 = cons(sK57,nil)
      & ssItem(sK57) ) ),
    introduced(choice_axiom,[]) ).

fof(f349,plain,
    ! [X6] :
      ( ? [X7] :
          ( X6 != X7
          & leq(X6,X7)
          & memberP(sK54,X7)
          & ssItem(X7) )
     => ( sK58(X6) != X6
        & leq(X6,sK58(X6))
        & memberP(sK54,sK58(X6))
        & ssItem(sK58(X6)) ) ),
    introduced(choice_axiom,[]) ).

fof(f350,plain,
    ( ( ( nil = sK55
        & nil = sK56 )
      | ( ! [X5] :
            ( ~ leq(sK57,X5)
            | ~ memberP(sK56,X5)
            | sK57 = X5
            | ~ ssItem(X5) )
        & memberP(sK56,sK57)
        & sK55 = cons(sK57,nil)
        & ssItem(sK57) ) )
    & ( nil != sK53
      | nil != sK54 )
    & ! [X6] :
        ( ~ memberP(sK54,X6)
        | ( sK58(X6) != X6
          & leq(X6,sK58(X6))
          & memberP(sK54,sK58(X6))
          & ssItem(sK58(X6)) )
        | cons(X6,nil) != sK53
        | ~ ssItem(X6) )
    & 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])],[f223,f349,f348,f347,f346,f345,f344]) ).

fof(f554,plain,
    sK54 = sK56,
    inference(cnf_transformation,[],[f350]) ).

fof(f555,plain,
    sK53 = sK55,
    inference(cnf_transformation,[],[f350]) ).

fof(f556,plain,
    ! [X6] :
      ( ~ memberP(sK54,X6)
      | ssItem(sK58(X6))
      | cons(X6,nil) != sK53
      | ~ ssItem(X6) ),
    inference(cnf_transformation,[],[f350]) ).

fof(f557,plain,
    ! [X6] :
      ( ~ memberP(sK54,X6)
      | memberP(sK54,sK58(X6))
      | cons(X6,nil) != sK53
      | ~ ssItem(X6) ),
    inference(cnf_transformation,[],[f350]) ).

fof(f558,plain,
    ! [X6] :
      ( ~ memberP(sK54,X6)
      | leq(X6,sK58(X6))
      | cons(X6,nil) != sK53
      | ~ ssItem(X6) ),
    inference(cnf_transformation,[],[f350]) ).

fof(f559,plain,
    ! [X6] :
      ( ~ memberP(sK54,X6)
      | sK58(X6) != X6
      | cons(X6,nil) != sK53
      | ~ ssItem(X6) ),
    inference(cnf_transformation,[],[f350]) ).

fof(f560,plain,
    ( nil != sK53
    | nil != sK54 ),
    inference(cnf_transformation,[],[f350]) ).

fof(f561,plain,
    ( nil = sK56
    | ssItem(sK57) ),
    inference(cnf_transformation,[],[f350]) ).

fof(f562,plain,
    ( nil = sK56
    | sK55 = cons(sK57,nil) ),
    inference(cnf_transformation,[],[f350]) ).

fof(f563,plain,
    ( nil = sK56
    | memberP(sK56,sK57) ),
    inference(cnf_transformation,[],[f350]) ).

fof(f564,plain,
    ! [X5] :
      ( nil = sK56
      | ~ leq(sK57,X5)
      | ~ memberP(sK56,X5)
      | sK57 = X5
      | ~ ssItem(X5) ),
    inference(cnf_transformation,[],[f350]) ).

fof(f565,plain,
    ( nil = sK55
    | ssItem(sK57) ),
    inference(cnf_transformation,[],[f350]) ).

fof(f566,plain,
    ( nil = sK55
    | sK55 = cons(sK57,nil) ),
    inference(cnf_transformation,[],[f350]) ).

fof(f567,plain,
    ( nil = sK55
    | memberP(sK56,sK57) ),
    inference(cnf_transformation,[],[f350]) ).

fof(f568,plain,
    ! [X5] :
      ( nil = sK55
      | ~ leq(sK57,X5)
      | ~ memberP(sK56,X5)
      | sK57 = X5
      | ~ ssItem(X5) ),
    inference(cnf_transformation,[],[f350]) ).

fof(f569,plain,
    ( nil != sK55
    | nil != sK56 ),
    inference(definition_unfolding,[],[f560,f555,f554]) ).

fof(f570,plain,
    ! [X6] :
      ( ~ memberP(sK56,X6)
      | sK58(X6) != X6
      | cons(X6,nil) != sK55
      | ~ ssItem(X6) ),
    inference(definition_unfolding,[],[f559,f554,f555]) ).

fof(f571,plain,
    ! [X6] :
      ( ~ memberP(sK56,X6)
      | leq(X6,sK58(X6))
      | cons(X6,nil) != sK55
      | ~ ssItem(X6) ),
    inference(definition_unfolding,[],[f558,f554,f555]) ).

fof(f572,plain,
    ! [X6] :
      ( ~ memberP(sK56,X6)
      | memberP(sK56,sK58(X6))
      | cons(X6,nil) != sK55
      | ~ ssItem(X6) ),
    inference(definition_unfolding,[],[f557,f554,f554,f555]) ).

fof(f573,plain,
    ! [X6] :
      ( ~ memberP(sK56,X6)
      | ssItem(sK58(X6))
      | cons(X6,nil) != sK55
      | ~ ssItem(X6) ),
    inference(definition_unfolding,[],[f556,f554,f555]) ).

cnf(c_246,negated_conjecture,
    ( ~ memberP(sK56,X0)
    | ~ leq(sK57,X0)
    | ~ ssItem(X0)
    | X0 = sK57
    | nil = sK55 ),
    inference(cnf_transformation,[],[f568]) ).

cnf(c_247,negated_conjecture,
    ( nil = sK55
    | memberP(sK56,sK57) ),
    inference(cnf_transformation,[],[f567]) ).

cnf(c_248,negated_conjecture,
    ( cons(sK57,nil) = sK55
    | nil = sK55 ),
    inference(cnf_transformation,[],[f566]) ).

cnf(c_249,negated_conjecture,
    ( nil = sK55
    | ssItem(sK57) ),
    inference(cnf_transformation,[],[f565]) ).

cnf(c_250,negated_conjecture,
    ( ~ memberP(sK56,X0)
    | ~ leq(sK57,X0)
    | ~ ssItem(X0)
    | X0 = sK57
    | nil = sK56 ),
    inference(cnf_transformation,[],[f564]) ).

cnf(c_251,negated_conjecture,
    ( nil = sK56
    | memberP(sK56,sK57) ),
    inference(cnf_transformation,[],[f563]) ).

cnf(c_252,negated_conjecture,
    ( cons(sK57,nil) = sK55
    | nil = sK56 ),
    inference(cnf_transformation,[],[f562]) ).

cnf(c_253,negated_conjecture,
    ( nil = sK56
    | ssItem(sK57) ),
    inference(cnf_transformation,[],[f561]) ).

cnf(c_254,negated_conjecture,
    ( nil != sK55
    | nil != sK56 ),
    inference(cnf_transformation,[],[f569]) ).

cnf(c_255,negated_conjecture,
    ( cons(X0,nil) != sK55
    | sK58(X0) != X0
    | ~ memberP(sK56,X0)
    | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f570]) ).

cnf(c_256,negated_conjecture,
    ( cons(X0,nil) != sK55
    | ~ memberP(sK56,X0)
    | ~ ssItem(X0)
    | leq(X0,sK58(X0)) ),
    inference(cnf_transformation,[],[f571]) ).

cnf(c_257,negated_conjecture,
    ( cons(X0,nil) != sK55
    | ~ memberP(sK56,X0)
    | ~ ssItem(X0)
    | memberP(sK56,sK58(X0)) ),
    inference(cnf_transformation,[],[f572]) ).

cnf(c_258,negated_conjecture,
    ( cons(X0,nil) != sK55
    | ~ memberP(sK56,X0)
    | ~ ssItem(X0)
    | ssItem(sK58(X0)) ),
    inference(cnf_transformation,[],[f573]) ).

cnf(c_375,negated_conjecture,
    ssItem(sK57),
    inference(global_subsumption_just,[status(thm)],[c_253,c_253,c_249,c_254]) ).

cnf(c_377,negated_conjecture,
    ssItem(sK57),
    inference(global_subsumption_just,[status(thm)],[c_249,c_375]) ).

cnf(c_385,negated_conjecture,
    memberP(sK56,sK57),
    inference(global_subsumption_just,[status(thm)],[c_251,c_251,c_247,c_254]) ).

cnf(c_387,negated_conjecture,
    memberP(sK56,sK57),
    inference(global_subsumption_just,[status(thm)],[c_247,c_385]) ).

cnf(c_391,negated_conjecture,
    cons(sK57,nil) = sK55,
    inference(global_subsumption_just,[status(thm)],[c_252,c_254,c_252,c_248]) ).

cnf(c_393,negated_conjecture,
    cons(sK57,nil) = sK55,
    inference(global_subsumption_just,[status(thm)],[c_248,c_391]) ).

cnf(c_405,plain,
    ( X0 = sK57
    | ~ ssItem(X0)
    | ~ leq(sK57,X0)
    | ~ memberP(sK56,X0) ),
    inference(global_subsumption_just,[status(thm)],[c_250,c_254,c_250,c_246]) ).

cnf(c_406,negated_conjecture,
    ( ~ memberP(sK56,X0)
    | ~ leq(sK57,X0)
    | ~ ssItem(X0)
    | X0 = sK57 ),
    inference(renaming,[status(thm)],[c_405]) ).

cnf(c_408,plain,
    ( X0 = sK57
    | ~ ssItem(X0)
    | ~ leq(sK57,X0)
    | ~ memberP(sK56,X0) ),
    inference(global_subsumption_just,[status(thm)],[c_246,c_406]) ).

cnf(c_409,negated_conjecture,
    ( ~ memberP(sK56,X0)
    | ~ leq(sK57,X0)
    | ~ ssItem(X0)
    | X0 = sK57 ),
    inference(renaming,[status(thm)],[c_408]) ).

cnf(c_11889,plain,
    ( ~ memberP(sK56,sK57)
    | ~ ssItem(sK57)
    | ssItem(sK58(sK57)) ),
    inference(superposition,[status(thm)],[c_393,c_258]) ).

cnf(c_11890,plain,
    ssItem(sK58(sK57)),
    inference(forward_subsumption_resolution,[status(thm)],[c_11889,c_377,c_387]) ).

cnf(c_11899,plain,
    ( ~ memberP(sK56,sK57)
    | ~ ssItem(sK57)
    | leq(sK57,sK58(sK57)) ),
    inference(superposition,[status(thm)],[c_393,c_256]) ).

cnf(c_11900,plain,
    leq(sK57,sK58(sK57)),
    inference(forward_subsumption_resolution,[status(thm)],[c_11899,c_377,c_387]) ).

cnf(c_11909,plain,
    ( ~ memberP(sK56,sK57)
    | ~ ssItem(sK57)
    | memberP(sK56,sK58(sK57)) ),
    inference(superposition,[status(thm)],[c_393,c_257]) ).

cnf(c_11910,plain,
    memberP(sK56,sK58(sK57)),
    inference(forward_subsumption_resolution,[status(thm)],[c_11909,c_377,c_387]) ).

cnf(c_11919,plain,
    ( sK58(sK57) != sK57
    | ~ memberP(sK56,sK57)
    | ~ ssItem(sK57) ),
    inference(superposition,[status(thm)],[c_393,c_255]) ).

cnf(c_11920,plain,
    sK58(sK57) != sK57,
    inference(forward_subsumption_resolution,[status(thm)],[c_11919,c_377,c_387]) ).

cnf(c_11921,plain,
    ( ~ leq(sK57,sK58(sK57))
    | ~ ssItem(sK58(sK57))
    | sK58(sK57) = sK57 ),
    inference(superposition,[status(thm)],[c_11910,c_409]) ).

cnf(c_11922,plain,
    sK58(sK57) = sK57,
    inference(forward_subsumption_resolution,[status(thm)],[c_11921,c_11890,c_11900]) ).

cnf(c_11926,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_11922,c_11920]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWC098+1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.33  % Computer : n027.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Mon Aug 28 17:22:37 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.20/0.46  Running first-order theorem proving
% 0.20/0.46  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.78/1.18  % SZS status Started for theBenchmark.p
% 0.78/1.18  % SZS status Theorem for theBenchmark.p
% 0.78/1.18  
% 0.78/1.18  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.78/1.18  
% 0.78/1.18  ------  iProver source info
% 0.78/1.18  
% 0.78/1.18  git: date: 2023-05-31 18:12:56 +0000
% 0.78/1.18  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.78/1.18  git: non_committed_changes: false
% 0.78/1.18  git: last_make_outside_of_git: false
% 0.78/1.18  
% 0.78/1.18  ------ Parsing...
% 0.78/1.18  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 0.78/1.18  
% 0.78/1.18  ------ 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 
% 0.78/1.18  
% 0.78/1.18  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 0.78/1.18  
% 0.78/1.18  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 0.78/1.18  ------ Proving...
% 0.78/1.18  ------ Problem Properties 
% 0.78/1.18  
% 0.78/1.18  
% 0.78/1.18  clauses                                 191
% 0.78/1.18  conjectures                             11
% 0.78/1.18  EPR                                     55
% 0.78/1.18  Horn                                    123
% 0.78/1.18  unary                                   21
% 0.78/1.18  binary                                  41
% 0.78/1.18  lits                                    645
% 0.78/1.18  lits eq                                 87
% 0.78/1.18  fd_pure                                 0
% 0.78/1.18  fd_pseudo                               0
% 0.78/1.18  fd_cond                                 22
% 0.78/1.18  fd_pseudo_cond                          14
% 0.78/1.18  AC symbols                              0
% 0.78/1.18  
% 0.78/1.18  ------ Schedule dynamic 5 is on 
% 0.78/1.18  
% 0.78/1.18  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.78/1.18  
% 0.78/1.18  
% 0.78/1.18  ------ 
% 0.78/1.18  Current options:
% 0.78/1.18  ------ 
% 0.78/1.18  
% 0.78/1.18  
% 0.78/1.18  
% 0.78/1.18  
% 0.78/1.18  ------ Proving...
% 0.78/1.18  
% 0.78/1.18  
% 0.78/1.18  % SZS status Theorem for theBenchmark.p
% 0.78/1.18  
% 0.78/1.18  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.78/1.18  
% 0.80/1.18  
%------------------------------------------------------------------------------