TSTP Solution File: SWC010+1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SWC010+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 20:40:16 EDT 2023

% Result   : Theorem 1.02s 1.35s
% Output   : CNFRefutation 1.02s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   56 (  10 unt;   0 def)
%            Number of atoms       :  407 ( 133 equ)
%            Maximal formula atoms :   23 (   7 avg)
%            Number of connectives :  524 ( 173   ~; 161   |; 162   &)
%                                         (   0 <=>;  28  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   25 (   8 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-4 aty)
%            Number of functors    :   10 (  10 usr;   5 con; 0-2 aty)
%            Number of variables   :  228 (  24 sgn; 111   !;  64   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f96,conjecture,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ! [X3] :
                  ( ssList(X3)
                 => ( ( ( neq(X3,nil)
                        | ~ neq(X1,nil) )
                      & ( ! [X7] :
                            ( ssItem(X7)
                           => ! [X8] :
                                ( ssList(X8)
                               => ! [X9] :
                                    ( ssList(X9)
                                   => ( ? [X10] :
                                          ( geq(X10,X7)
                                          & memberP(X3,X10)
                                          & X7 != X10
                                          & ssItem(X10) )
                                      | app(X8,X9) != X2
                                      | app(app(X8,cons(X7,nil)),X9) != X3 ) ) ) )
                        | ? [X4] :
                            ( ? [X5] :
                                ( ? [X6] :
                                    ( app(X5,X6) = X0
                                    & app(app(X5,cons(X4,nil)),X6) = X1
                                    & ssList(X6) )
                                & ssList(X5) )
                            & ssItem(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) )
                        & ( ! [X7] :
                              ( ssItem(X7)
                             => ! [X8] :
                                  ( ssList(X8)
                                 => ! [X9] :
                                      ( ssList(X9)
                                     => ( ? [X10] :
                                            ( geq(X10,X7)
                                            & memberP(X3,X10)
                                            & X7 != X10
                                            & ssItem(X10) )
                                        | app(X8,X9) != X2
                                        | app(app(X8,cons(X7,nil)),X9) != X3 ) ) ) )
                          | ? [X4] :
                              ( ? [X5] :
                                  ( ? [X6] :
                                      ( app(X5,X6) = X0
                                      & app(app(X5,cons(X4,nil)),X6) = X1
                                      & ssList(X6) )
                                  & ssList(X5) )
                              & ssItem(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] :
                              ( ssItem(X4)
                             => ! [X5] :
                                  ( ssList(X5)
                                 => ! [X6] :
                                      ( ssList(X6)
                                     => ( ? [X7] :
                                            ( geq(X7,X4)
                                            & memberP(X3,X7)
                                            & X4 != X7
                                            & ssItem(X7) )
                                        | app(X5,X6) != X2
                                        | app(app(X5,cons(X4,nil)),X6) != X3 ) ) ) )
                          | ? [X8] :
                              ( ? [X9] :
                                  ( ? [X10] :
                                      ( app(X9,X10) = X0
                                      & app(app(X9,cons(X8,nil)),X10) = X1
                                      & ssList(X10) )
                                  & ssList(X9) )
                              & ssItem(X8) )
                          | ~ neq(X1,nil) ) )
                      | X0 != X2
                      | X1 != X3 ) ) ) ) ),
    inference(rectify,[],[f97]) ).

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

fof(f233,plain,
    ! [X3,X2,X0,X1] :
      ( ( ? [X4] :
            ( ? [X5] :
                ( ? [X6] :
                    ( ! [X7] :
                        ( ~ geq(X7,X4)
                        | ~ memberP(X3,X7)
                        | X4 = X7
                        | ~ ssItem(X7) )
                    & app(X5,X6) = X2
                    & app(app(X5,cons(X4,nil)),X6) = X3
                    & ssList(X6) )
                & ssList(X5) )
            & ssItem(X4) )
        & ! [X8] :
            ( ! [X9] :
                ( ! [X10] :
                    ( app(X9,X10) != X0
                    | app(app(X9,cons(X8,nil)),X10) != X1
                    | ~ ssList(X10) )
                | ~ ssList(X9) )
            | ~ ssItem(X8) )
        & neq(X1,nil) )
      | ~ sP6(X3,X2,X0,X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).

fof(f234,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( ( ~ neq(X3,nil)
                      & neq(X1,nil) )
                    | sP6(X3,X2,X0,X1) )
                  & X0 = X2
                  & X1 = X3
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(definition_folding,[],[f223,f233]) ).

fof(f346,plain,
    ! [X3,X2,X0,X1] :
      ( ( ? [X4] :
            ( ? [X5] :
                ( ? [X6] :
                    ( ! [X7] :
                        ( ~ geq(X7,X4)
                        | ~ memberP(X3,X7)
                        | X4 = X7
                        | ~ ssItem(X7) )
                    & app(X5,X6) = X2
                    & app(app(X5,cons(X4,nil)),X6) = X3
                    & ssList(X6) )
                & ssList(X5) )
            & ssItem(X4) )
        & ! [X8] :
            ( ! [X9] :
                ( ! [X10] :
                    ( app(X9,X10) != X0
                    | app(app(X9,cons(X8,nil)),X10) != X1
                    | ~ ssList(X10) )
                | ~ ssList(X9) )
            | ~ ssItem(X8) )
        & neq(X1,nil) )
      | ~ sP6(X3,X2,X0,X1) ),
    inference(nnf_transformation,[],[f233]) ).

fof(f347,plain,
    ! [X0,X1,X2,X3] :
      ( ( ? [X4] :
            ( ? [X5] :
                ( ? [X6] :
                    ( ! [X7] :
                        ( ~ geq(X7,X4)
                        | ~ memberP(X0,X7)
                        | X4 = X7
                        | ~ ssItem(X7) )
                    & app(X5,X6) = X1
                    & app(app(X5,cons(X4,nil)),X6) = X0
                    & ssList(X6) )
                & ssList(X5) )
            & ssItem(X4) )
        & ! [X8] :
            ( ! [X9] :
                ( ! [X10] :
                    ( app(X9,X10) != X2
                    | app(app(X9,cons(X8,nil)),X10) != X3
                    | ~ ssList(X10) )
                | ~ ssList(X9) )
            | ~ ssItem(X8) )
        & neq(X3,nil) )
      | ~ sP6(X0,X1,X2,X3) ),
    inference(rectify,[],[f346]) ).

fof(f348,plain,
    ! [X0,X1] :
      ( ? [X4] :
          ( ? [X5] :
              ( ? [X6] :
                  ( ! [X7] :
                      ( ~ geq(X7,X4)
                      | ~ memberP(X0,X7)
                      | X4 = X7
                      | ~ ssItem(X7) )
                  & app(X5,X6) = X1
                  & app(app(X5,cons(X4,nil)),X6) = X0
                  & ssList(X6) )
              & ssList(X5) )
          & ssItem(X4) )
     => ( ? [X5] :
            ( ? [X6] :
                ( ! [X7] :
                    ( ~ geq(X7,sK54(X0,X1))
                    | ~ memberP(X0,X7)
                    | sK54(X0,X1) = X7
                    | ~ ssItem(X7) )
                & app(X5,X6) = X1
                & app(app(X5,cons(sK54(X0,X1),nil)),X6) = X0
                & ssList(X6) )
            & ssList(X5) )
        & ssItem(sK54(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f349,plain,
    ! [X0,X1] :
      ( ? [X5] :
          ( ? [X6] :
              ( ! [X7] :
                  ( ~ geq(X7,sK54(X0,X1))
                  | ~ memberP(X0,X7)
                  | sK54(X0,X1) = X7
                  | ~ ssItem(X7) )
              & app(X5,X6) = X1
              & app(app(X5,cons(sK54(X0,X1),nil)),X6) = X0
              & ssList(X6) )
          & ssList(X5) )
     => ( ? [X6] :
            ( ! [X7] :
                ( ~ geq(X7,sK54(X0,X1))
                | ~ memberP(X0,X7)
                | sK54(X0,X1) = X7
                | ~ ssItem(X7) )
            & app(sK55(X0,X1),X6) = X1
            & app(app(sK55(X0,X1),cons(sK54(X0,X1),nil)),X6) = X0
            & ssList(X6) )
        & ssList(sK55(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f350,plain,
    ! [X0,X1] :
      ( ? [X6] :
          ( ! [X7] :
              ( ~ geq(X7,sK54(X0,X1))
              | ~ memberP(X0,X7)
              | sK54(X0,X1) = X7
              | ~ ssItem(X7) )
          & app(sK55(X0,X1),X6) = X1
          & app(app(sK55(X0,X1),cons(sK54(X0,X1),nil)),X6) = X0
          & ssList(X6) )
     => ( ! [X7] :
            ( ~ geq(X7,sK54(X0,X1))
            | ~ memberP(X0,X7)
            | sK54(X0,X1) = X7
            | ~ ssItem(X7) )
        & app(sK55(X0,X1),sK56(X0,X1)) = X1
        & app(app(sK55(X0,X1),cons(sK54(X0,X1),nil)),sK56(X0,X1)) = X0
        & ssList(sK56(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f351,plain,
    ! [X0,X1,X2,X3] :
      ( ( ! [X7] :
            ( ~ geq(X7,sK54(X0,X1))
            | ~ memberP(X0,X7)
            | sK54(X0,X1) = X7
            | ~ ssItem(X7) )
        & app(sK55(X0,X1),sK56(X0,X1)) = X1
        & app(app(sK55(X0,X1),cons(sK54(X0,X1),nil)),sK56(X0,X1)) = X0
        & ssList(sK56(X0,X1))
        & ssList(sK55(X0,X1))
        & ssItem(sK54(X0,X1))
        & ! [X8] :
            ( ! [X9] :
                ( ! [X10] :
                    ( app(X9,X10) != X2
                    | app(app(X9,cons(X8,nil)),X10) != X3
                    | ~ ssList(X10) )
                | ~ ssList(X9) )
            | ~ ssItem(X8) )
        & neq(X3,nil) )
      | ~ sP6(X0,X1,X2,X3) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK54,sK55,sK56])],[f347,f350,f349,f348]) ).

fof(f352,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( ? [X2] :
                ( ? [X3] :
                    ( ( ( ~ neq(X3,nil)
                        & neq(X1,nil) )
                      | sP6(X3,X2,X0,X1) )
                    & X0 = X2
                    & X1 = X3
                    & ssList(X3) )
                & ssList(X2) )
            & ssList(X1) )
        & ssList(X0) )
   => ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( ( ~ neq(X3,nil)
                      & neq(X1,nil) )
                    | sP6(X3,X2,sK57,X1) )
                  & sK57 = X2
                  & X1 = X3
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(sK57) ) ),
    introduced(choice_axiom,[]) ).

fof(f353,plain,
    ( ? [X1] :
        ( ? [X2] :
            ( ? [X3] :
                ( ( ( ~ neq(X3,nil)
                    & neq(X1,nil) )
                  | sP6(X3,X2,sK57,X1) )
                & sK57 = X2
                & X1 = X3
                & ssList(X3) )
            & ssList(X2) )
        & ssList(X1) )
   => ( ? [X2] :
          ( ? [X3] :
              ( ( ( ~ neq(X3,nil)
                  & neq(sK58,nil) )
                | sP6(X3,X2,sK57,sK58) )
              & sK57 = X2
              & sK58 = X3
              & ssList(X3) )
          & ssList(X2) )
      & ssList(sK58) ) ),
    introduced(choice_axiom,[]) ).

fof(f354,plain,
    ( ? [X2] :
        ( ? [X3] :
            ( ( ( ~ neq(X3,nil)
                & neq(sK58,nil) )
              | sP6(X3,X2,sK57,sK58) )
            & sK57 = X2
            & sK58 = X3
            & ssList(X3) )
        & ssList(X2) )
   => ( ? [X3] :
          ( ( ( ~ neq(X3,nil)
              & neq(sK58,nil) )
            | sP6(X3,sK59,sK57,sK58) )
          & sK57 = sK59
          & sK58 = X3
          & ssList(X3) )
      & ssList(sK59) ) ),
    introduced(choice_axiom,[]) ).

fof(f355,plain,
    ( ? [X3] :
        ( ( ( ~ neq(X3,nil)
            & neq(sK58,nil) )
          | sP6(X3,sK59,sK57,sK58) )
        & sK57 = sK59
        & sK58 = X3
        & ssList(X3) )
   => ( ( ( ~ neq(sK60,nil)
          & neq(sK58,nil) )
        | sP6(sK60,sK59,sK57,sK58) )
      & sK57 = sK59
      & sK58 = sK60
      & ssList(sK60) ) ),
    introduced(choice_axiom,[]) ).

fof(f356,plain,
    ( ( ( ~ neq(sK60,nil)
        & neq(sK58,nil) )
      | sP6(sK60,sK59,sK57,sK58) )
    & sK57 = sK59
    & sK58 = sK60
    & ssList(sK60)
    & ssList(sK59)
    & ssList(sK58)
    & ssList(sK57) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK57,sK58,sK59,sK60])],[f234,f355,f354,f353,f352]) ).

fof(f557,plain,
    ! [X2,X3,X10,X0,X1,X8,X9] :
      ( app(X9,X10) != X2
      | app(app(X9,cons(X8,nil)),X10) != X3
      | ~ ssList(X10)
      | ~ ssList(X9)
      | ~ ssItem(X8)
      | ~ sP6(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f351]) ).

fof(f558,plain,
    ! [X2,X3,X0,X1] :
      ( ssItem(sK54(X0,X1))
      | ~ sP6(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f351]) ).

fof(f559,plain,
    ! [X2,X3,X0,X1] :
      ( ssList(sK55(X0,X1))
      | ~ sP6(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f351]) ).

fof(f560,plain,
    ! [X2,X3,X0,X1] :
      ( ssList(sK56(X0,X1))
      | ~ sP6(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f351]) ).

fof(f561,plain,
    ! [X2,X3,X0,X1] :
      ( app(app(sK55(X0,X1),cons(sK54(X0,X1),nil)),sK56(X0,X1)) = X0
      | ~ sP6(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f351]) ).

fof(f562,plain,
    ! [X2,X3,X0,X1] :
      ( app(sK55(X0,X1),sK56(X0,X1)) = X1
      | ~ sP6(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f351]) ).

fof(f568,plain,
    sK58 = sK60,
    inference(cnf_transformation,[],[f356]) ).

fof(f569,plain,
    sK57 = sK59,
    inference(cnf_transformation,[],[f356]) ).

fof(f570,plain,
    ( neq(sK58,nil)
    | sP6(sK60,sK59,sK57,sK58) ),
    inference(cnf_transformation,[],[f356]) ).

fof(f571,plain,
    ( ~ neq(sK60,nil)
    | sP6(sK60,sK59,sK57,sK58) ),
    inference(cnf_transformation,[],[f356]) ).

fof(f572,plain,
    ( ~ neq(sK60,nil)
    | sP6(sK60,sK59,sK59,sK60) ),
    inference(definition_unfolding,[],[f571,f569,f568]) ).

fof(f573,plain,
    ( neq(sK60,nil)
    | sP6(sK60,sK59,sK59,sK60) ),
    inference(definition_unfolding,[],[f570,f568,f569,f568]) ).

fof(f603,plain,
    ! [X3,X10,X0,X1,X8,X9] :
      ( app(app(X9,cons(X8,nil)),X10) != X3
      | ~ ssList(X10)
      | ~ ssList(X9)
      | ~ ssItem(X8)
      | ~ sP6(X0,X1,app(X9,X10),X3) ),
    inference(equality_resolution,[],[f557]) ).

fof(f604,plain,
    ! [X10,X0,X1,X8,X9] :
      ( ~ ssList(X10)
      | ~ ssList(X9)
      | ~ ssItem(X8)
      | ~ sP6(X0,X1,app(X9,X10),app(app(X9,cons(X8,nil)),X10)) ),
    inference(equality_resolution,[],[f603]) ).

cnf(c_247,plain,
    ( ~ sP6(X0,X1,X2,X3)
    | app(sK55(X0,X1),sK56(X0,X1)) = X1 ),
    inference(cnf_transformation,[],[f562]) ).

cnf(c_248,plain,
    ( ~ sP6(X0,X1,X2,X3)
    | app(app(sK55(X0,X1),cons(sK54(X0,X1),nil)),sK56(X0,X1)) = X0 ),
    inference(cnf_transformation,[],[f561]) ).

cnf(c_249,plain,
    ( ~ sP6(X0,X1,X2,X3)
    | ssList(sK56(X0,X1)) ),
    inference(cnf_transformation,[],[f560]) ).

cnf(c_250,plain,
    ( ~ sP6(X0,X1,X2,X3)
    | ssList(sK55(X0,X1)) ),
    inference(cnf_transformation,[],[f559]) ).

cnf(c_251,plain,
    ( ~ sP6(X0,X1,X2,X3)
    | ssItem(sK54(X0,X1)) ),
    inference(cnf_transformation,[],[f558]) ).

cnf(c_252,plain,
    ( ~ sP6(X0,X1,app(X2,X3),app(app(X2,cons(X4,nil)),X3))
    | ~ ssItem(X4)
    | ~ ssList(X2)
    | ~ ssList(X3) ),
    inference(cnf_transformation,[],[f604]) ).

cnf(c_254,negated_conjecture,
    ( ~ neq(sK60,nil)
    | sP6(sK60,sK59,sK59,sK60) ),
    inference(cnf_transformation,[],[f572]) ).

cnf(c_255,negated_conjecture,
    ( sP6(sK60,sK59,sK59,sK60)
    | neq(sK60,nil) ),
    inference(cnf_transformation,[],[f573]) ).

cnf(c_379,negated_conjecture,
    sP6(sK60,sK59,sK59,sK60),
    inference(global_subsumption_just,[status(thm)],[c_255,c_255,c_254]) ).

cnf(c_381,negated_conjecture,
    sP6(sK60,sK59,sK59,sK60),
    inference(global_subsumption_just,[status(thm)],[c_254,c_379]) ).

cnf(c_3295,plain,
    ( X0 != sK60
    | X1 != sK59
    | X2 != sK59
    | X3 != sK60
    | ssItem(sK54(X0,X1)) ),
    inference(resolution_lifted,[status(thm)],[c_251,c_381]) ).

cnf(c_3296,plain,
    ssItem(sK54(sK60,sK59)),
    inference(unflattening,[status(thm)],[c_3295]) ).

cnf(c_3300,plain,
    ( X0 != sK60
    | X1 != sK59
    | X2 != sK59
    | X3 != sK60
    | ssList(sK55(X0,X1)) ),
    inference(resolution_lifted,[status(thm)],[c_250,c_381]) ).

cnf(c_3301,plain,
    ssList(sK55(sK60,sK59)),
    inference(unflattening,[status(thm)],[c_3300]) ).

cnf(c_3305,plain,
    ( X0 != sK60
    | X1 != sK59
    | X2 != sK59
    | X3 != sK60
    | ssList(sK56(X0,X1)) ),
    inference(resolution_lifted,[status(thm)],[c_249,c_381]) ).

cnf(c_3306,plain,
    ssList(sK56(sK60,sK59)),
    inference(unflattening,[status(thm)],[c_3305]) ).

cnf(c_3310,plain,
    ( X0 != sK60
    | X1 != sK59
    | X2 != sK59
    | X3 != sK60
    | app(app(sK55(X0,X1),cons(sK54(X0,X1),nil)),sK56(X0,X1)) = X0 ),
    inference(resolution_lifted,[status(thm)],[c_248,c_381]) ).

cnf(c_3311,plain,
    app(app(sK55(sK60,sK59),cons(sK54(sK60,sK59),nil)),sK56(sK60,sK59)) = sK60,
    inference(unflattening,[status(thm)],[c_3310]) ).

cnf(c_3315,plain,
    ( X0 != sK60
    | X1 != sK59
    | X2 != sK59
    | X3 != sK60
    | app(sK55(X0,X1),sK56(X0,X1)) = X1 ),
    inference(resolution_lifted,[status(thm)],[c_247,c_381]) ).

cnf(c_3316,plain,
    app(sK55(sK60,sK59),sK56(sK60,sK59)) = sK59,
    inference(unflattening,[status(thm)],[c_3315]) ).

cnf(c_3335,plain,
    ( app(app(X0,cons(X1,nil)),X2) != sK60
    | app(X0,X2) != sK59
    | X3 != sK60
    | X4 != sK59
    | ~ ssItem(X1)
    | ~ ssList(X0)
    | ~ ssList(X2) ),
    inference(resolution_lifted,[status(thm)],[c_252,c_381]) ).

cnf(c_3336,plain,
    ( app(app(X0,cons(X1,nil)),X2) != sK60
    | app(X0,X2) != sK59
    | ~ ssItem(X1)
    | ~ ssList(X0)
    | ~ ssList(X2) ),
    inference(unflattening,[status(thm)],[c_3335]) ).

cnf(c_11921,plain,
    ( app(sK55(sK60,sK59),sK56(sK60,sK59)) != sK59
    | ~ ssItem(sK54(sK60,sK59))
    | ~ ssList(sK55(sK60,sK59))
    | ~ ssList(sK56(sK60,sK59)) ),
    inference(superposition,[status(thm)],[c_3311,c_3336]) ).

cnf(c_11922,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_11921,c_3306,c_3301,c_3296,c_3316]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.18  % Problem  : SWC010+1 : TPTP v8.1.2. Released v2.4.0.
% 0.05/0.20  % Command  : run_iprover %s %d THM
% 0.08/0.44  % Computer : n012.cluster.edu
% 0.08/0.44  % Model    : x86_64 x86_64
% 0.08/0.44  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.44  % Memory   : 8042.1875MB
% 0.08/0.44  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.44  % CPULimit : 300
% 0.08/0.44  % WCLimit  : 300
% 0.08/0.44  % DateTime : Mon Aug 28 17:55:09 EDT 2023
% 0.08/0.44  % CPUTime  : 
% 0.14/0.57  Running first-order theorem proving
% 0.14/0.57  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 1.02/1.35  % SZS status Started for theBenchmark.p
% 1.02/1.35  % SZS status Theorem for theBenchmark.p
% 1.02/1.35  
% 1.02/1.35  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 1.02/1.35  
% 1.02/1.35  ------  iProver source info
% 1.02/1.35  
% 1.02/1.35  git: date: 2023-05-31 18:12:56 +0000
% 1.02/1.35  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 1.02/1.35  git: non_committed_changes: false
% 1.02/1.35  git: last_make_outside_of_git: false
% 1.02/1.35  
% 1.02/1.35  ------ Parsing...
% 1.02/1.35  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 1.02/1.35  
% 1.02/1.35  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe_e  sup_sim: 0  sf_s  rm: 6 0s  sf_e  pe_s  pe_e 
% 1.02/1.35  
% 1.02/1.35  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 1.02/1.35  
% 1.02/1.35  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 1.02/1.35  ------ Proving...
% 1.02/1.35  ------ Problem Properties 
% 1.02/1.35  
% 1.02/1.35  
% 1.02/1.35  clauses                                 190
% 1.02/1.35  conjectures                             2
% 1.02/1.35  EPR                                     52
% 1.02/1.35  Horn                                    122
% 1.02/1.35  unary                                   24
% 1.02/1.35  binary                                  40
% 1.02/1.35  lits                                    635
% 1.02/1.35  lits eq                                 84
% 1.02/1.35  fd_pure                                 0
% 1.02/1.35  fd_pseudo                               0
% 1.02/1.35  fd_cond                                 22
% 1.02/1.35  fd_pseudo_cond                          14
% 1.02/1.35  AC symbols                              0
% 1.02/1.35  
% 1.02/1.35  ------ Schedule dynamic 5 is on 
% 1.02/1.35  
% 1.02/1.35  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.02/1.35  
% 1.02/1.35  
% 1.02/1.35  ------ 
% 1.02/1.35  Current options:
% 1.02/1.35  ------ 
% 1.02/1.35  
% 1.02/1.35  
% 1.02/1.35  
% 1.02/1.35  
% 1.02/1.35  ------ Proving...
% 1.02/1.35  
% 1.02/1.35  
% 1.02/1.35  % SZS status Theorem for theBenchmark.p
% 1.02/1.35  
% 1.02/1.35  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.02/1.35  
% 1.02/1.35  
%------------------------------------------------------------------------------