TSTP Solution File: SWC213+1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SWC213+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n025.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri May  3 03:11:37 EDT 2024

% Result   : Theorem 0.64s 1.09s
% Output   : CNFRefutation 0.64s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f598)

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

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

fof(f96,conjecture,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ! [X3] :
                  ( ssList(X3)
                 => ( ( nil = X2
                      & nil != X3 )
                    | neq(X0,nil)
                    | ! [X4] :
                        ( ssList(X4)
                       => ! [X5] :
                            ( ssList(X5)
                           => ( ? [X9] :
                                  ( ? [X10] :
                                      ( ? [X11] :
                                          ( app(X11,cons(X9,nil)) = X2
                                          & ssList(X11) )
                                      & app(cons(X9,nil),X10) = X5
                                      & ssList(X10) )
                                  & ssItem(X9) )
                              | ? [X6] :
                                  ( ? [X7] :
                                      ( ? [X8] :
                                          ( app(cons(X6,nil),X8) = X2
                                          & ssList(X8) )
                                      & app(X7,cons(X6,nil)) = X4
                                      & ssList(X7) )
                                  & ssItem(X6) )
                              | ~ equalelemsP(X2)
                              | app(app(X4,X2),X5) != X3 ) ) )
                    | ~ neq(X1,nil)
                    | X0 != X2
                    | X1 != X3 ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f97,negated_conjecture,
    ~ ! [X0] :
        ( ssList(X0)
       => ! [X1] :
            ( ssList(X1)
           => ! [X2] :
                ( ssList(X2)
               => ! [X3] :
                    ( ssList(X3)
                   => ( ( nil = X2
                        & nil != X3 )
                      | neq(X0,nil)
                      | ! [X4] :
                          ( ssList(X4)
                         => ! [X5] :
                              ( ssList(X5)
                             => ( ? [X9] :
                                    ( ? [X10] :
                                        ( ? [X11] :
                                            ( app(X11,cons(X9,nil)) = X2
                                            & ssList(X11) )
                                        & app(cons(X9,nil),X10) = X5
                                        & ssList(X10) )
                                    & ssItem(X9) )
                                | ? [X6] :
                                    ( ? [X7] :
                                        ( ? [X8] :
                                            ( app(cons(X6,nil),X8) = X2
                                            & ssList(X8) )
                                        & app(X7,cons(X6,nil)) = X4
                                        & ssList(X7) )
                                    & ssItem(X6) )
                                | ~ equalelemsP(X2)
                                | app(app(X4,X2),X5) != X3 ) ) )
                      | ~ 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)
                   => ( ( nil = X2
                        & nil != X3 )
                      | neq(X0,nil)
                      | ! [X4] :
                          ( ssList(X4)
                         => ! [X5] :
                              ( ssList(X5)
                             => ( ? [X6] :
                                    ( ? [X7] :
                                        ( ? [X8] :
                                            ( app(X8,cons(X6,nil)) = X2
                                            & ssList(X8) )
                                        & app(cons(X6,nil),X7) = X5
                                        & ssList(X7) )
                                    & ssItem(X6) )
                                | ? [X9] :
                                    ( ? [X10] :
                                        ( ? [X11] :
                                            ( app(cons(X9,nil),X11) = X2
                                            & ssList(X11) )
                                        & app(X10,cons(X9,nil)) = X4
                                        & ssList(X10) )
                                    & ssItem(X9) )
                                | ~ equalelemsP(X2)
                                | app(app(X4,X2),X5) != X3 ) ) )
                      | ~ 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(f222,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( nil != X2
                    | nil = X3 )
                  & ~ neq(X0,nil)
                  & ? [X4] :
                      ( ? [X5] :
                          ( ! [X6] :
                              ( ! [X7] :
                                  ( ! [X8] :
                                      ( app(X8,cons(X6,nil)) != X2
                                      | ~ ssList(X8) )
                                  | app(cons(X6,nil),X7) != X5
                                  | ~ ssList(X7) )
                              | ~ ssItem(X6) )
                          & ! [X9] :
                              ( ! [X10] :
                                  ( ! [X11] :
                                      ( app(cons(X9,nil),X11) != X2
                                      | ~ ssList(X11) )
                                  | app(X10,cons(X9,nil)) != X4
                                  | ~ ssList(X10) )
                              | ~ ssItem(X9) )
                          & equalelemsP(X2)
                          & app(app(X4,X2),X5) = X3
                          & ssList(X5) )
                      & ssList(X4) )
                  & 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] :
                  ( ( nil != X2
                    | nil = X3 )
                  & ~ neq(X0,nil)
                  & ? [X4] :
                      ( ? [X5] :
                          ( ! [X6] :
                              ( ! [X7] :
                                  ( ! [X8] :
                                      ( app(X8,cons(X6,nil)) != X2
                                      | ~ ssList(X8) )
                                  | app(cons(X6,nil),X7) != X5
                                  | ~ ssList(X7) )
                              | ~ ssItem(X6) )
                          & ! [X9] :
                              ( ! [X10] :
                                  ( ! [X11] :
                                      ( app(cons(X9,nil),X11) != X2
                                      | ~ ssList(X11) )
                                  | app(X10,cons(X9,nil)) != X4
                                  | ~ ssList(X10) )
                              | ~ ssItem(X9) )
                          & equalelemsP(X2)
                          & app(app(X4,X2),X5) = X3
                          & ssList(X5) )
                      & ssList(X4) )
                  & 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] :
                    ( ( nil != X2
                      | nil = X3 )
                    & ~ neq(X0,nil)
                    & ? [X4] :
                        ( ? [X5] :
                            ( ! [X6] :
                                ( ! [X7] :
                                    ( ! [X8] :
                                        ( app(X8,cons(X6,nil)) != X2
                                        | ~ ssList(X8) )
                                    | app(cons(X6,nil),X7) != X5
                                    | ~ ssList(X7) )
                                | ~ ssItem(X6) )
                            & ! [X9] :
                                ( ! [X10] :
                                    ( ! [X11] :
                                        ( app(cons(X9,nil),X11) != X2
                                        | ~ ssList(X11) )
                                    | app(X10,cons(X9,nil)) != X4
                                    | ~ ssList(X10) )
                                | ~ ssItem(X9) )
                            & equalelemsP(X2)
                            & app(app(X4,X2),X5) = X3
                            & ssList(X5) )
                        & ssList(X4) )
                    & neq(X1,nil)
                    & X0 = X2
                    & X1 = X3
                    & ssList(X3) )
                & ssList(X2) )
            & ssList(X1) )
        & ssList(X0) )
   => ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( nil != X2
                    | nil = X3 )
                  & ~ neq(sK53,nil)
                  & ? [X4] :
                      ( ? [X5] :
                          ( ! [X6] :
                              ( ! [X7] :
                                  ( ! [X8] :
                                      ( app(X8,cons(X6,nil)) != X2
                                      | ~ ssList(X8) )
                                  | app(cons(X6,nil),X7) != X5
                                  | ~ ssList(X7) )
                              | ~ ssItem(X6) )
                          & ! [X9] :
                              ( ! [X10] :
                                  ( ! [X11] :
                                      ( app(cons(X9,nil),X11) != X2
                                      | ~ ssList(X11) )
                                  | app(X10,cons(X9,nil)) != X4
                                  | ~ ssList(X10) )
                              | ~ ssItem(X9) )
                          & equalelemsP(X2)
                          & app(app(X4,X2),X5) = X3
                          & ssList(X5) )
                      & ssList(X4) )
                  & neq(X1,nil)
                  & 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 )
                & ~ neq(sK53,nil)
                & ? [X4] :
                    ( ? [X5] :
                        ( ! [X6] :
                            ( ! [X7] :
                                ( ! [X8] :
                                    ( app(X8,cons(X6,nil)) != X2
                                    | ~ ssList(X8) )
                                | app(cons(X6,nil),X7) != X5
                                | ~ ssList(X7) )
                            | ~ ssItem(X6) )
                        & ! [X9] :
                            ( ! [X10] :
                                ( ! [X11] :
                                    ( app(cons(X9,nil),X11) != X2
                                    | ~ ssList(X11) )
                                | app(X10,cons(X9,nil)) != X4
                                | ~ ssList(X10) )
                            | ~ ssItem(X9) )
                        & equalelemsP(X2)
                        & app(app(X4,X2),X5) = X3
                        & ssList(X5) )
                    & ssList(X4) )
                & neq(X1,nil)
                & sK53 = X2
                & X1 = X3
                & ssList(X3) )
            & ssList(X2) )
        & ssList(X1) )
   => ( ? [X2] :
          ( ? [X3] :
              ( ( nil != X2
                | nil = X3 )
              & ~ neq(sK53,nil)
              & ? [X4] :
                  ( ? [X5] :
                      ( ! [X6] :
                          ( ! [X7] :
                              ( ! [X8] :
                                  ( app(X8,cons(X6,nil)) != X2
                                  | ~ ssList(X8) )
                              | app(cons(X6,nil),X7) != X5
                              | ~ ssList(X7) )
                          | ~ ssItem(X6) )
                      & ! [X9] :
                          ( ! [X10] :
                              ( ! [X11] :
                                  ( app(cons(X9,nil),X11) != X2
                                  | ~ ssList(X11) )
                              | app(X10,cons(X9,nil)) != X4
                              | ~ ssList(X10) )
                          | ~ ssItem(X9) )
                      & equalelemsP(X2)
                      & app(app(X4,X2),X5) = X3
                      & ssList(X5) )
                  & ssList(X4) )
              & neq(sK54,nil)
              & sK53 = X2
              & sK54 = X3
              & ssList(X3) )
          & ssList(X2) )
      & ssList(sK54) ) ),
    introduced(choice_axiom,[]) ).

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

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

fof(f348,plain,
    ( ? [X4] :
        ( ? [X5] :
            ( ! [X6] :
                ( ! [X7] :
                    ( ! [X8] :
                        ( app(X8,cons(X6,nil)) != sK55
                        | ~ ssList(X8) )
                    | app(cons(X6,nil),X7) != X5
                    | ~ ssList(X7) )
                | ~ ssItem(X6) )
            & ! [X9] :
                ( ! [X10] :
                    ( ! [X11] :
                        ( app(cons(X9,nil),X11) != sK55
                        | ~ ssList(X11) )
                    | app(X10,cons(X9,nil)) != X4
                    | ~ ssList(X10) )
                | ~ ssItem(X9) )
            & equalelemsP(sK55)
            & app(app(X4,sK55),X5) = sK56
            & ssList(X5) )
        & ssList(X4) )
   => ( ? [X5] :
          ( ! [X6] :
              ( ! [X7] :
                  ( ! [X8] :
                      ( app(X8,cons(X6,nil)) != sK55
                      | ~ ssList(X8) )
                  | app(cons(X6,nil),X7) != X5
                  | ~ ssList(X7) )
              | ~ ssItem(X6) )
          & ! [X9] :
              ( ! [X10] :
                  ( ! [X11] :
                      ( app(cons(X9,nil),X11) != sK55
                      | ~ ssList(X11) )
                  | app(X10,cons(X9,nil)) != sK57
                  | ~ ssList(X10) )
              | ~ ssItem(X9) )
          & equalelemsP(sK55)
          & sK56 = app(app(sK57,sK55),X5)
          & ssList(X5) )
      & ssList(sK57) ) ),
    introduced(choice_axiom,[]) ).

fof(f349,plain,
    ( ? [X5] :
        ( ! [X6] :
            ( ! [X7] :
                ( ! [X8] :
                    ( app(X8,cons(X6,nil)) != sK55
                    | ~ ssList(X8) )
                | app(cons(X6,nil),X7) != X5
                | ~ ssList(X7) )
            | ~ ssItem(X6) )
        & ! [X9] :
            ( ! [X10] :
                ( ! [X11] :
                    ( app(cons(X9,nil),X11) != sK55
                    | ~ ssList(X11) )
                | app(X10,cons(X9,nil)) != sK57
                | ~ ssList(X10) )
            | ~ ssItem(X9) )
        & equalelemsP(sK55)
        & sK56 = app(app(sK57,sK55),X5)
        & ssList(X5) )
   => ( ! [X6] :
          ( ! [X7] :
              ( ! [X8] :
                  ( app(X8,cons(X6,nil)) != sK55
                  | ~ ssList(X8) )
              | app(cons(X6,nil),X7) != sK58
              | ~ ssList(X7) )
          | ~ ssItem(X6) )
      & ! [X9] :
          ( ! [X10] :
              ( ! [X11] :
                  ( app(cons(X9,nil),X11) != sK55
                  | ~ ssList(X11) )
              | app(X10,cons(X9,nil)) != sK57
              | ~ ssList(X10) )
          | ~ ssItem(X9) )
      & equalelemsP(sK55)
      & sK56 = app(app(sK57,sK55),sK58)
      & ssList(sK58) ) ),
    introduced(choice_axiom,[]) ).

fof(f350,plain,
    ( ( nil != sK55
      | nil = sK56 )
    & ~ neq(sK53,nil)
    & ! [X6] :
        ( ! [X7] :
            ( ! [X8] :
                ( app(X8,cons(X6,nil)) != sK55
                | ~ ssList(X8) )
            | app(cons(X6,nil),X7) != sK58
            | ~ ssList(X7) )
        | ~ ssItem(X6) )
    & ! [X9] :
        ( ! [X10] :
            ( ! [X11] :
                ( app(cons(X9,nil),X11) != sK55
                | ~ ssList(X11) )
            | app(X10,cons(X9,nil)) != sK57
            | ~ ssList(X10) )
        | ~ ssItem(X9) )
    & equalelemsP(sK55)
    & sK56 = app(app(sK57,sK55),sK58)
    & ssList(sK58)
    & ssList(sK57)
    & 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,sK57,sK58])],[f223,f349,f348,f347,f346,f345,f344]) ).

fof(f441,plain,
    ! [X0,X1] :
      ( neq(X0,X1)
      | X0 = X1
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f317]) ).

fof(f443,plain,
    ssList(nil),
    inference(cnf_transformation,[],[f17]) ).

fof(f550,plain,
    ssList(sK53),
    inference(cnf_transformation,[],[f350]) ).

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

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

fof(f556,plain,
    neq(sK54,nil),
    inference(cnf_transformation,[],[f350]) ).

fof(f563,plain,
    ~ neq(sK53,nil),
    inference(cnf_transformation,[],[f350]) ).

fof(f564,plain,
    ( nil != sK55
    | nil = sK56 ),
    inference(cnf_transformation,[],[f350]) ).

fof(f565,plain,
    ~ neq(sK55,nil),
    inference(definition_unfolding,[],[f563,f555]) ).

fof(f566,plain,
    neq(sK56,nil),
    inference(definition_unfolding,[],[f556,f554]) ).

fof(f568,plain,
    ssList(sK55),
    inference(definition_unfolding,[],[f550,f555]) ).

cnf(c_138,plain,
    ( ~ ssList(X0)
    | ~ ssList(X1)
    | X0 = X1
    | neq(X0,X1) ),
    inference(cnf_transformation,[],[f441]) ).

cnf(c_139,plain,
    ( ~ neq(X0,X0)
    | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f598]) ).

cnf(c_141,plain,
    ssList(nil),
    inference(cnf_transformation,[],[f443]) ).

cnf(c_246,negated_conjecture,
    ( nil != sK55
    | nil = sK56 ),
    inference(cnf_transformation,[],[f564]) ).

cnf(c_247,negated_conjecture,
    ~ neq(sK55,nil),
    inference(cnf_transformation,[],[f565]) ).

cnf(c_254,negated_conjecture,
    neq(sK56,nil),
    inference(cnf_transformation,[],[f566]) ).

cnf(c_258,negated_conjecture,
    ssList(sK55),
    inference(cnf_transformation,[],[f568]) ).

cnf(c_3260,plain,
    ( X0 != sK55
    | X1 != nil
    | ~ ssList(X0)
    | ~ ssList(X1)
    | X0 = X1 ),
    inference(resolution_lifted,[status(thm)],[c_138,c_247]) ).

cnf(c_3261,plain,
    ( ~ ssList(nil)
    | ~ ssList(sK55)
    | sK55 = nil ),
    inference(unflattening,[status(thm)],[c_3260]) ).

cnf(c_3262,plain,
    sK55 = nil,
    inference(global_subsumption_just,[status(thm)],[c_3261,c_258,c_141,c_3261]) ).

cnf(c_3269,plain,
    ( X0 != nil
    | X0 != sK56
    | ~ ssList(X0) ),
    inference(resolution_lifted,[status(thm)],[c_139,c_254]) ).

cnf(c_3270,plain,
    ( nil != sK56
    | ~ ssList(nil) ),
    inference(unflattening,[status(thm)],[c_3269]) ).

cnf(c_3271,plain,
    nil != sK56,
    inference(global_subsumption_just,[status(thm)],[c_3270,c_141,c_3270]) ).

cnf(c_3286,plain,
    nil != sK55,
    inference(backward_subsumption_resolution,[status(thm)],[c_246,c_3271]) ).

cnf(c_6149,plain,
    nil != nil,
    inference(demodulation,[status(thm)],[c_3286,c_3262]) ).

cnf(c_6150,plain,
    $false,
    inference(equality_resolution_simp,[status(thm)],[c_6149]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : SWC213+1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.10  % Command  : run_iprover %s %d THM
% 0.10/0.30  % Computer : n025.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit : 300
% 0.10/0.30  % WCLimit  : 300
% 0.10/0.30  % DateTime : Thu May  2 23:44:28 EDT 2024
% 0.10/0.30  % CPUTime  : 
% 0.15/0.40  Running first-order theorem proving
% 0.15/0.40  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.64/1.09  % SZS status Started for theBenchmark.p
% 0.64/1.09  % SZS status Theorem for theBenchmark.p
% 0.64/1.09  
% 0.64/1.09  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.64/1.09  
% 0.64/1.09  ------  iProver source info
% 0.64/1.09  
% 0.64/1.09  git: date: 2024-05-02 19:28:25 +0000
% 0.64/1.09  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.64/1.09  git: non_committed_changes: false
% 0.64/1.09  
% 0.64/1.09  ------ Parsing...
% 0.64/1.09  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 0.64/1.09  
% 0.64/1.09  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe_e 
% 0.64/1.09  
% 0.64/1.09  % SZS status Theorem for theBenchmark.p
% 0.64/1.09  
% 0.64/1.09  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.64/1.09  
% 0.64/1.09  
%------------------------------------------------------------------------------