TSTP Solution File: SWC013+1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SWC013+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n009.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 20:40:18 EDT 2023

% Result   : Theorem 0.45s 1.15s
% Output   : CNFRefutation 0.45s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f609)

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

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

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

fof(f22,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( nil != X0
       => ssItem(hd(X0)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax22) ).

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

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

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

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

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

fof(f127,plain,
    ! [X0] :
      ( ssItem(hd(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f22]) ).

fof(f128,plain,
    ! [X0] :
      ( ssItem(hd(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(flattening,[],[f127]) ).

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

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

fof(f317,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( neq(X0,X1)
              | X0 = X1 )
            & ( X0 != X1
              | ~ neq(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f119]) ).

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

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

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

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

fof(f348,plain,
    ( ( ( ~ neq(sK56,nil)
        & neq(sK54,nil) )
      | ( ! [X4] :
            ( ! [X5] :
                ( ~ neq(nil,sK54)
                | hd(sK54) != X5
                | cons(X5,nil) != X4
                | ~ ssItem(X5) )
            | sK53 != X4
            | ~ ssList(X4) )
        & ! [X6] :
            ( ! [X7] :
                ( ~ neq(nil,sK56)
                | hd(sK56) != X7
                | cons(X7,nil) != X6
                | ~ ssItem(X7) )
            | sK55 = X6
            | ~ ssList(X6) )
        & neq(sK54,nil) ) )
    & sK53 = sK55
    & sK54 = sK56
    & ssList(sK56)
    & ssList(sK55)
    & ssList(sK54)
    & ssList(sK53) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK53,sK54,sK55,sK56])],[f223,f347,f346,f345,f344]) ).

fof(f439,plain,
    ! [X0,X1] :
      ( neq(X0,X1)
      | X0 = X1
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f317]) ).

fof(f440,plain,
    ! [X0,X1] :
      ( ssList(cons(X1,X0))
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f120]) ).

fof(f441,plain,
    ssList(nil),
    inference(cnf_transformation,[],[f17]) ).

fof(f449,plain,
    ! [X0] :
      ( ssItem(hd(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f128]) ).

fof(f549,plain,
    ssList(sK54),
    inference(cnf_transformation,[],[f348]) ).

fof(f552,plain,
    sK54 = sK56,
    inference(cnf_transformation,[],[f348]) ).

fof(f553,plain,
    sK53 = sK55,
    inference(cnf_transformation,[],[f348]) ).

fof(f556,plain,
    ! [X4,X5] :
      ( neq(sK54,nil)
      | ~ neq(nil,sK54)
      | hd(sK54) != X5
      | cons(X5,nil) != X4
      | ~ ssItem(X5)
      | sK53 != X4
      | ~ ssList(X4) ),
    inference(cnf_transformation,[],[f348]) ).

fof(f558,plain,
    ! [X6,X7] :
      ( ~ neq(sK56,nil)
      | ~ neq(nil,sK56)
      | hd(sK56) != X7
      | cons(X7,nil) != X6
      | ~ ssItem(X7)
      | sK55 = X6
      | ~ ssList(X6) ),
    inference(cnf_transformation,[],[f348]) ).

fof(f559,plain,
    ! [X4,X5] :
      ( ~ neq(sK56,nil)
      | ~ neq(nil,sK54)
      | hd(sK54) != X5
      | cons(X5,nil) != X4
      | ~ ssItem(X5)
      | sK53 != X4
      | ~ ssList(X4) ),
    inference(cnf_transformation,[],[f348]) ).

fof(f560,plain,
    ! [X4,X5] :
      ( ~ neq(sK56,nil)
      | ~ neq(nil,sK56)
      | hd(sK56) != X5
      | cons(X5,nil) != X4
      | ~ ssItem(X5)
      | sK55 != X4
      | ~ ssList(X4) ),
    inference(definition_unfolding,[],[f559,f552,f552,f553]) ).

fof(f562,plain,
    ! [X4,X5] :
      ( neq(sK56,nil)
      | ~ neq(nil,sK56)
      | hd(sK56) != X5
      | cons(X5,nil) != X4
      | ~ ssItem(X5)
      | sK55 != X4
      | ~ ssList(X4) ),
    inference(definition_unfolding,[],[f556,f552,f552,f552,f553]) ).

fof(f565,plain,
    ssList(sK56),
    inference(definition_unfolding,[],[f549,f552]) ).

fof(f594,plain,
    ! [X4] :
      ( ~ neq(sK56,nil)
      | ~ neq(nil,sK56)
      | cons(hd(sK56),nil) != X4
      | ~ ssItem(hd(sK56))
      | sK55 != X4
      | ~ ssList(X4) ),
    inference(equality_resolution,[],[f560]) ).

fof(f595,plain,
    ( ~ neq(sK56,nil)
    | ~ neq(nil,sK56)
    | ~ ssItem(hd(sK56))
    | sK55 != cons(hd(sK56),nil)
    | ~ ssList(cons(hd(sK56),nil)) ),
    inference(equality_resolution,[],[f594]) ).

fof(f596,plain,
    ! [X6] :
      ( ~ neq(sK56,nil)
      | ~ neq(nil,sK56)
      | cons(hd(sK56),nil) != X6
      | ~ ssItem(hd(sK56))
      | sK55 = X6
      | ~ ssList(X6) ),
    inference(equality_resolution,[],[f558]) ).

fof(f597,plain,
    ( ~ neq(sK56,nil)
    | ~ neq(nil,sK56)
    | ~ ssItem(hd(sK56))
    | sK55 = cons(hd(sK56),nil)
    | ~ ssList(cons(hd(sK56),nil)) ),
    inference(equality_resolution,[],[f596]) ).

fof(f598,plain,
    ! [X4] :
      ( neq(sK56,nil)
      | ~ neq(nil,sK56)
      | cons(hd(sK56),nil) != X4
      | ~ ssItem(hd(sK56))
      | sK55 != X4
      | ~ ssList(X4) ),
    inference(equality_resolution,[],[f562]) ).

fof(f599,plain,
    ( neq(sK56,nil)
    | ~ neq(nil,sK56)
    | ~ ssItem(hd(sK56))
    | sK55 != cons(hd(sK56),nil)
    | ~ ssList(cons(hd(sK56),nil)) ),
    inference(equality_resolution,[],[f598]) ).

cnf(c_138,plain,
    ( ~ ssList(X0)
    | ~ ssList(X1)
    | X0 = X1
    | neq(X0,X1) ),
    inference(cnf_transformation,[],[f439]) ).

cnf(c_139,plain,
    ( ~ neq(X0,X0)
    | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f604]) ).

cnf(c_140,plain,
    ( ~ ssItem(X0)
    | ~ ssList(X1)
    | ssList(cons(X0,X1)) ),
    inference(cnf_transformation,[],[f440]) ).

cnf(c_141,plain,
    ssList(nil),
    inference(cnf_transformation,[],[f441]) ).

cnf(c_149,plain,
    ( ~ ssList(X0)
    | X0 = nil
    | ssItem(hd(X0)) ),
    inference(cnf_transformation,[],[f449]) ).

cnf(c_246,negated_conjecture,
    ( cons(hd(sK56),nil) != sK55
    | ~ ssList(cons(hd(sK56),nil))
    | ~ neq(nil,sK56)
    | ~ neq(sK56,nil)
    | ~ ssItem(hd(sK56)) ),
    inference(cnf_transformation,[],[f595]) ).

cnf(c_247,negated_conjecture,
    ( ~ ssList(cons(hd(sK56),nil))
    | ~ neq(nil,sK56)
    | ~ neq(sK56,nil)
    | ~ ssItem(hd(sK56))
    | cons(hd(sK56),nil) = sK55 ),
    inference(cnf_transformation,[],[f597]) ).

cnf(c_248,negated_conjecture,
    ( cons(hd(sK56),nil) != sK55
    | ~ ssList(cons(hd(sK56),nil))
    | ~ neq(nil,sK56)
    | ~ ssItem(hd(sK56))
    | neq(sK56,nil) ),
    inference(cnf_transformation,[],[f599]) ).

cnf(c_250,negated_conjecture,
    neq(sK56,nil),
    inference(cnf_transformation,[],[f609]) ).

cnf(c_253,negated_conjecture,
    ssList(sK56),
    inference(cnf_transformation,[],[f565]) ).

cnf(c_381,negated_conjecture,
    neq(sK56,nil),
    inference(global_subsumption_just,[status(thm)],[c_248,c_250]) ).

cnf(c_383,plain,
    ( ~ ssItem(hd(sK56))
    | ~ ssList(cons(hd(sK56),nil))
    | ~ neq(nil,sK56) ),
    inference(global_subsumption_just,[status(thm)],[c_247,c_250,c_247,c_246]) ).

cnf(c_384,negated_conjecture,
    ( ~ ssList(cons(hd(sK56),nil))
    | ~ neq(nil,sK56)
    | ~ ssItem(hd(sK56)) ),
    inference(renaming,[status(thm)],[c_383]) ).

cnf(c_385,plain,
    ( ~ neq(nil,sK56)
    | ~ ssList(cons(hd(sK56),nil))
    | ~ ssItem(hd(sK56)) ),
    inference(global_subsumption_just,[status(thm)],[c_246,c_384]) ).

cnf(c_386,negated_conjecture,
    ( ~ ssList(cons(hd(sK56),nil))
    | ~ neq(nil,sK56)
    | ~ ssItem(hd(sK56)) ),
    inference(renaming,[status(thm)],[c_385]) ).

cnf(c_3216,plain,
    ( X0 != nil
    | X1 != sK56
    | ~ ssList(cons(hd(sK56),nil))
    | ~ ssItem(hd(sK56))
    | ~ ssList(X0)
    | ~ ssList(X1)
    | X0 = X1 ),
    inference(resolution_lifted,[status(thm)],[c_138,c_386]) ).

cnf(c_3217,plain,
    ( ~ ssList(cons(hd(sK56),nil))
    | ~ ssItem(hd(sK56))
    | ~ ssList(nil)
    | ~ ssList(sK56)
    | nil = sK56 ),
    inference(unflattening,[status(thm)],[c_3216]) ).

cnf(c_3218,plain,
    ( ~ ssList(cons(hd(sK56),nil))
    | ~ ssItem(hd(sK56))
    | nil = sK56 ),
    inference(global_subsumption_just,[status(thm)],[c_3217,c_253,c_141,c_3217]) ).

cnf(c_3233,plain,
    ( X0 != nil
    | X0 != sK56
    | ~ ssList(X0) ),
    inference(resolution_lifted,[status(thm)],[c_139,c_381]) ).

cnf(c_3234,plain,
    ( nil != sK56
    | ~ ssList(nil) ),
    inference(unflattening,[status(thm)],[c_3233]) ).

cnf(c_3235,plain,
    nil != sK56,
    inference(global_subsumption_just,[status(thm)],[c_3234,c_141,c_3234]) ).

cnf(c_3240,plain,
    ( ~ ssList(cons(hd(sK56),nil))
    | ~ ssItem(hd(sK56)) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_3218,c_3235]) ).

cnf(c_12102,plain,
    ( ~ ssItem(hd(sK56))
    | ~ ssList(nil) ),
    inference(superposition,[status(thm)],[c_140,c_3240]) ).

cnf(c_12103,plain,
    ~ ssItem(hd(sK56)),
    inference(forward_subsumption_resolution,[status(thm)],[c_12102,c_141]) ).

cnf(c_12137,plain,
    ( ~ ssList(sK56)
    | nil = sK56 ),
    inference(superposition,[status(thm)],[c_149,c_12103]) ).

cnf(c_12138,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_12137,c_3235,c_253]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SWC013+1 : TPTP v8.1.2. Released v2.4.0.
% 0.10/0.13  % Command  : run_iprover %s %d THM
% 0.12/0.34  % Computer : n009.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Mon Aug 28 17:39:20 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.19/0.46  Running first-order theorem proving
% 0.19/0.46  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.45/1.15  % SZS status Started for theBenchmark.p
% 0.45/1.15  % SZS status Theorem for theBenchmark.p
% 0.45/1.15  
% 0.45/1.15  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.45/1.15  
% 0.45/1.15  ------  iProver source info
% 0.45/1.15  
% 0.45/1.15  git: date: 2023-05-31 18:12:56 +0000
% 0.45/1.15  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.45/1.15  git: non_committed_changes: false
% 0.45/1.15  git: last_make_outside_of_git: false
% 0.45/1.15  
% 0.45/1.15  ------ Parsing...
% 0.45/1.15  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 0.45/1.15  
% 0.45/1.15  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe_e  sup_sim: 0  sf_s  rm: 5 0s  sf_e  pe_s  pe_e 
% 0.45/1.15  
% 0.45/1.15  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 0.45/1.15  
% 0.45/1.15  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 0.45/1.15  ------ Proving...
% 0.45/1.15  ------ Problem Properties 
% 0.45/1.15  
% 0.45/1.15  
% 0.45/1.15  clauses                                 184
% 0.45/1.15  conjectures                             2
% 0.45/1.15  EPR                                     52
% 0.45/1.15  Horn                                    116
% 0.45/1.15  unary                                   19
% 0.45/1.15  binary                                  41
% 0.45/1.15  lits                                    623
% 0.45/1.15  lits eq                                 79
% 0.45/1.15  fd_pure                                 0
% 0.45/1.15  fd_pseudo                               0
% 0.45/1.15  fd_cond                                 21
% 0.45/1.15  fd_pseudo_cond                          14
% 0.45/1.15  AC symbols                              0
% 0.45/1.15  
% 0.45/1.15  ------ Schedule dynamic 5 is on 
% 0.45/1.15  
% 0.45/1.15  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.45/1.15  
% 0.45/1.15  
% 0.45/1.15  ------ 
% 0.45/1.15  Current options:
% 0.45/1.15  ------ 
% 0.45/1.15  
% 0.45/1.15  
% 0.45/1.15  
% 0.45/1.15  
% 0.45/1.15  ------ Proving...
% 0.45/1.15  
% 0.45/1.15  
% 0.45/1.15  % SZS status Theorem for theBenchmark.p
% 0.45/1.15  
% 0.45/1.15  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.45/1.15  
% 0.45/1.15  
%------------------------------------------------------------------------------