TSTP Solution File: SWC032+1 by iProver---3.8

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%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SWC032+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n021.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 20:40:28 EDT 2023

% Result   : Theorem 0.48s 1.16s
% Output   : CNFRefutation 0.80s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   62 (  19 unt;   0 def)
%            Number of atoms       :  425 ( 199 equ)
%            Maximal formula atoms :   44 (   6 avg)
%            Number of connectives :  560 ( 197   ~; 173   |; 164   &)
%                                         (   4 <=>;  22  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   25 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   6 con; 0-2 aty)
%            Number of variables   :  151 (   0 sgn;  95   !;  48   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f6,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( rearsegP(X0,X1)
          <=> ? [X2] :
                ( app(X2,X1) = X0
                & ssList(X2) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).

fof(f26,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ssList(app(X0,X1)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax26) ).

fof(f52,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( rearsegP(nil,X0)
      <=> nil = X0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax52) ).

fof(f84,axiom,
    ! [X0] :
      ( ssList(X0)
     => app(X0,nil) = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax84) ).

fof(f96,conjecture,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ! [X3] :
                  ( ssList(X3)
                 => ( ( ( nil = X1
                        | nil != X0 )
                      & ( nil = X0
                        | nil != X1 ) )
                    | ( nil = X2
                      & nil != X3 )
                    | ! [X4] :
                        ( ssList(X4)
                       => ( ? [X5] :
                              ( ? [X6] :
                                  ( ? [X7] :
                                      ( ? [X8] :
                                          ( lt(X7,X5)
                                          & app(X8,cons(X7,nil)) = X2
                                          & ssList(X8) )
                                      & ssItem(X7) )
                                  & app(cons(X5,nil),X6) = X4
                                  & ssList(X6) )
                              & ssItem(X5) )
                          | ~ strictorderedP(X2)
                          | app(X2,X4) != X3 ) )
                    | 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 = X1
                          | nil != X0 )
                        & ( nil = X0
                          | nil != X1 ) )
                      | ( nil = X2
                        & nil != X3 )
                      | ! [X4] :
                          ( ssList(X4)
                         => ( ? [X5] :
                                ( ? [X6] :
                                    ( ? [X7] :
                                        ( ? [X8] :
                                            ( lt(X7,X5)
                                            & app(X8,cons(X7,nil)) = X2
                                            & ssList(X8) )
                                        & ssItem(X7) )
                                    & app(cons(X5,nil),X6) = X4
                                    & ssList(X6) )
                                & ssItem(X5) )
                            | ~ strictorderedP(X2)
                            | app(X2,X4) != X3 ) )
                      | X0 != X2
                      | X1 != X3 ) ) ) ) ),
    inference(negated_conjecture,[],[f96]) ).

fof(f102,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( rearsegP(X0,X1)
          <=> ? [X2] :
                ( app(X2,X1) = X0
                & ssList(X2) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f132,plain,
    ! [X0] :
      ( ! [X1] :
          ( ssList(app(X0,X1))
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f26]) ).

fof(f167,plain,
    ! [X0] :
      ( ( rearsegP(nil,X0)
      <=> nil = X0 )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f52]) ).

fof(f201,plain,
    ! [X0] :
      ( app(X0,nil) = X0
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f84]) ).

fof(f221,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( ( nil != X1
                      & nil = X0 )
                    | ( nil != X0
                      & nil = X1 ) )
                  & ( nil != X2
                    | nil = X3 )
                  & ? [X4] :
                      ( ! [X5] :
                          ( ! [X6] :
                              ( ! [X7] :
                                  ( ! [X8] :
                                      ( ~ lt(X7,X5)
                                      | app(X8,cons(X7,nil)) != X2
                                      | ~ ssList(X8) )
                                  | ~ ssItem(X7) )
                              | app(cons(X5,nil),X6) != X4
                              | ~ ssList(X6) )
                          | ~ ssItem(X5) )
                      & strictorderedP(X2)
                      & app(X2,X4) = X3
                      & ssList(X4) )
                  & X0 = X2
                  & X1 = X3
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(ennf_transformation,[],[f97]) ).

fof(f222,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( ( nil != X1
                      & nil = X0 )
                    | ( nil != X0
                      & nil = X1 ) )
                  & ( nil != X2
                    | nil = X3 )
                  & ? [X4] :
                      ( ! [X5] :
                          ( ! [X6] :
                              ( ! [X7] :
                                  ( ! [X8] :
                                      ( ~ lt(X7,X5)
                                      | app(X8,cons(X7,nil)) != X2
                                      | ~ ssList(X8) )
                                  | ~ ssItem(X7) )
                              | app(cons(X5,nil),X6) != X4
                              | ~ ssList(X6) )
                          | ~ ssItem(X5) )
                      & strictorderedP(X2)
                      & app(X2,X4) = X3
                      & ssList(X4) )
                  & X0 = X2
                  & X1 = X3
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(flattening,[],[f221]) ).

fof(f249,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( rearsegP(X0,X1)
              | ! [X2] :
                  ( app(X2,X1) != X0
                  | ~ ssList(X2) ) )
            & ( ? [X2] :
                  ( app(X2,X1) = X0
                  & ssList(X2) )
              | ~ rearsegP(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f102]) ).

fof(f250,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( rearsegP(X0,X1)
              | ! [X2] :
                  ( app(X2,X1) != X0
                  | ~ ssList(X2) ) )
            & ( ? [X3] :
                  ( app(X3,X1) = X0
                  & ssList(X3) )
              | ~ rearsegP(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(rectify,[],[f249]) ).

fof(f251,plain,
    ! [X0,X1] :
      ( ? [X3] :
          ( app(X3,X1) = X0
          & ssList(X3) )
     => ( app(sK12(X0,X1),X1) = X0
        & ssList(sK12(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f252,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( rearsegP(X0,X1)
              | ! [X2] :
                  ( app(X2,X1) != X0
                  | ~ ssList(X2) ) )
            & ( ( app(sK12(X0,X1),X1) = X0
                & ssList(sK12(X0,X1)) )
              | ~ rearsegP(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f250,f251]) ).

fof(f329,plain,
    ! [X0] :
      ( ( ( rearsegP(nil,X0)
          | nil != X0 )
        & ( nil = X0
          | ~ rearsegP(nil,X0) ) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f167]) ).

fof(f343,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( ? [X2] :
                ( ? [X3] :
                    ( ( ( nil != X1
                        & nil = X0 )
                      | ( nil != X0
                        & nil = X1 ) )
                    & ( nil != X2
                      | nil = X3 )
                    & ? [X4] :
                        ( ! [X5] :
                            ( ! [X6] :
                                ( ! [X7] :
                                    ( ! [X8] :
                                        ( ~ lt(X7,X5)
                                        | app(X8,cons(X7,nil)) != X2
                                        | ~ ssList(X8) )
                                    | ~ ssItem(X7) )
                                | app(cons(X5,nil),X6) != X4
                                | ~ ssList(X6) )
                            | ~ ssItem(X5) )
                        & strictorderedP(X2)
                        & app(X2,X4) = X3
                        & ssList(X4) )
                    & X0 = X2
                    & X1 = X3
                    & ssList(X3) )
                & ssList(X2) )
            & ssList(X1) )
        & ssList(X0) )
   => ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( ( nil != X1
                      & nil = sK53 )
                    | ( nil != sK53
                      & nil = X1 ) )
                  & ( nil != X2
                    | nil = X3 )
                  & ? [X4] :
                      ( ! [X5] :
                          ( ! [X6] :
                              ( ! [X7] :
                                  ( ! [X8] :
                                      ( ~ lt(X7,X5)
                                      | app(X8,cons(X7,nil)) != X2
                                      | ~ ssList(X8) )
                                  | ~ ssItem(X7) )
                              | app(cons(X5,nil),X6) != X4
                              | ~ ssList(X6) )
                          | ~ ssItem(X5) )
                      & strictorderedP(X2)
                      & app(X2,X4) = X3
                      & ssList(X4) )
                  & sK53 = X2
                  & X1 = X3
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(sK53) ) ),
    introduced(choice_axiom,[]) ).

fof(f344,plain,
    ( ? [X1] :
        ( ? [X2] :
            ( ? [X3] :
                ( ( ( nil != X1
                    & nil = sK53 )
                  | ( nil != sK53
                    & nil = X1 ) )
                & ( nil != X2
                  | nil = X3 )
                & ? [X4] :
                    ( ! [X5] :
                        ( ! [X6] :
                            ( ! [X7] :
                                ( ! [X8] :
                                    ( ~ lt(X7,X5)
                                    | app(X8,cons(X7,nil)) != X2
                                    | ~ ssList(X8) )
                                | ~ ssItem(X7) )
                            | app(cons(X5,nil),X6) != X4
                            | ~ ssList(X6) )
                        | ~ ssItem(X5) )
                    & strictorderedP(X2)
                    & app(X2,X4) = X3
                    & ssList(X4) )
                & sK53 = X2
                & X1 = X3
                & ssList(X3) )
            & ssList(X2) )
        & ssList(X1) )
   => ( ? [X2] :
          ( ? [X3] :
              ( ( ( nil != sK54
                  & nil = sK53 )
                | ( nil != sK53
                  & nil = sK54 ) )
              & ( nil != X2
                | nil = X3 )
              & ? [X4] :
                  ( ! [X5] :
                      ( ! [X6] :
                          ( ! [X7] :
                              ( ! [X8] :
                                  ( ~ lt(X7,X5)
                                  | app(X8,cons(X7,nil)) != X2
                                  | ~ ssList(X8) )
                              | ~ ssItem(X7) )
                          | app(cons(X5,nil),X6) != X4
                          | ~ ssList(X6) )
                      | ~ ssItem(X5) )
                  & strictorderedP(X2)
                  & app(X2,X4) = X3
                  & ssList(X4) )
              & sK53 = X2
              & sK54 = X3
              & ssList(X3) )
          & ssList(X2) )
      & ssList(sK54) ) ),
    introduced(choice_axiom,[]) ).

fof(f345,plain,
    ( ? [X2] :
        ( ? [X3] :
            ( ( ( nil != sK54
                & nil = sK53 )
              | ( nil != sK53
                & nil = sK54 ) )
            & ( nil != X2
              | nil = X3 )
            & ? [X4] :
                ( ! [X5] :
                    ( ! [X6] :
                        ( ! [X7] :
                            ( ! [X8] :
                                ( ~ lt(X7,X5)
                                | app(X8,cons(X7,nil)) != X2
                                | ~ ssList(X8) )
                            | ~ ssItem(X7) )
                        | app(cons(X5,nil),X6) != X4
                        | ~ ssList(X6) )
                    | ~ ssItem(X5) )
                & strictorderedP(X2)
                & app(X2,X4) = X3
                & ssList(X4) )
            & sK53 = X2
            & sK54 = X3
            & ssList(X3) )
        & ssList(X2) )
   => ( ? [X3] :
          ( ( ( nil != sK54
              & nil = sK53 )
            | ( nil != sK53
              & nil = sK54 ) )
          & ( nil != sK55
            | nil = X3 )
          & ? [X4] :
              ( ! [X5] :
                  ( ! [X6] :
                      ( ! [X7] :
                          ( ! [X8] :
                              ( ~ lt(X7,X5)
                              | app(X8,cons(X7,nil)) != sK55
                              | ~ ssList(X8) )
                          | ~ ssItem(X7) )
                      | app(cons(X5,nil),X6) != X4
                      | ~ ssList(X6) )
                  | ~ ssItem(X5) )
              & strictorderedP(sK55)
              & app(sK55,X4) = X3
              & ssList(X4) )
          & sK53 = sK55
          & sK54 = X3
          & ssList(X3) )
      & ssList(sK55) ) ),
    introduced(choice_axiom,[]) ).

fof(f346,plain,
    ( ? [X3] :
        ( ( ( nil != sK54
            & nil = sK53 )
          | ( nil != sK53
            & nil = sK54 ) )
        & ( nil != sK55
          | nil = X3 )
        & ? [X4] :
            ( ! [X5] :
                ( ! [X6] :
                    ( ! [X7] :
                        ( ! [X8] :
                            ( ~ lt(X7,X5)
                            | app(X8,cons(X7,nil)) != sK55
                            | ~ ssList(X8) )
                        | ~ ssItem(X7) )
                    | app(cons(X5,nil),X6) != X4
                    | ~ ssList(X6) )
                | ~ ssItem(X5) )
            & strictorderedP(sK55)
            & app(sK55,X4) = X3
            & ssList(X4) )
        & sK53 = sK55
        & sK54 = X3
        & ssList(X3) )
   => ( ( ( nil != sK54
          & nil = sK53 )
        | ( nil != sK53
          & nil = sK54 ) )
      & ( nil != sK55
        | nil = sK56 )
      & ? [X4] :
          ( ! [X5] :
              ( ! [X6] :
                  ( ! [X7] :
                      ( ! [X8] :
                          ( ~ lt(X7,X5)
                          | app(X8,cons(X7,nil)) != sK55
                          | ~ ssList(X8) )
                      | ~ ssItem(X7) )
                  | app(cons(X5,nil),X6) != X4
                  | ~ ssList(X6) )
              | ~ ssItem(X5) )
          & strictorderedP(sK55)
          & app(sK55,X4) = sK56
          & ssList(X4) )
      & sK53 = sK55
      & sK54 = sK56
      & ssList(sK56) ) ),
    introduced(choice_axiom,[]) ).

fof(f347,plain,
    ( ? [X4] :
        ( ! [X5] :
            ( ! [X6] :
                ( ! [X7] :
                    ( ! [X8] :
                        ( ~ lt(X7,X5)
                        | app(X8,cons(X7,nil)) != sK55
                        | ~ ssList(X8) )
                    | ~ ssItem(X7) )
                | app(cons(X5,nil),X6) != X4
                | ~ ssList(X6) )
            | ~ ssItem(X5) )
        & strictorderedP(sK55)
        & app(sK55,X4) = sK56
        & ssList(X4) )
   => ( ! [X5] :
          ( ! [X6] :
              ( ! [X7] :
                  ( ! [X8] :
                      ( ~ lt(X7,X5)
                      | app(X8,cons(X7,nil)) != sK55
                      | ~ ssList(X8) )
                  | ~ ssItem(X7) )
              | app(cons(X5,nil),X6) != sK57
              | ~ ssList(X6) )
          | ~ ssItem(X5) )
      & strictorderedP(sK55)
      & sK56 = app(sK55,sK57)
      & ssList(sK57) ) ),
    introduced(choice_axiom,[]) ).

fof(f348,plain,
    ( ( ( nil != sK54
        & nil = sK53 )
      | ( nil != sK53
        & nil = sK54 ) )
    & ( nil != sK55
      | nil = sK56 )
    & ! [X5] :
        ( ! [X6] :
            ( ! [X7] :
                ( ! [X8] :
                    ( ~ lt(X7,X5)
                    | app(X8,cons(X7,nil)) != sK55
                    | ~ ssList(X8) )
                | ~ ssItem(X7) )
            | app(cons(X5,nil),X6) != sK57
            | ~ ssList(X6) )
        | ~ ssItem(X5) )
    & strictorderedP(sK55)
    & sK56 = app(sK55,sK57)
    & ssList(sK57)
    & sK53 = sK55
    & sK54 = sK56
    & ssList(sK56)
    & ssList(sK55)
    & ssList(sK54)
    & ssList(sK53) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK53,sK54,sK55,sK56,sK57])],[f222,f347,f346,f345,f344,f343]) ).

fof(f366,plain,
    ! [X2,X0,X1] :
      ( rearsegP(X0,X1)
      | app(X2,X1) != X0
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f252]) ).

fof(f453,plain,
    ! [X0,X1] :
      ( ssList(app(X0,X1))
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f132]) ).

fof(f488,plain,
    ! [X0] :
      ( nil = X0
      | ~ rearsegP(nil,X0)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f329]) ).

fof(f534,plain,
    ! [X0] :
      ( app(X0,nil) = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f201]) ).

fof(f548,plain,
    ssList(sK53),
    inference(cnf_transformation,[],[f348]) ).

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

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

fof(f554,plain,
    ssList(sK57),
    inference(cnf_transformation,[],[f348]) ).

fof(f555,plain,
    sK56 = app(sK55,sK57),
    inference(cnf_transformation,[],[f348]) ).

fof(f558,plain,
    ( nil != sK55
    | nil = sK56 ),
    inference(cnf_transformation,[],[f348]) ).

fof(f559,plain,
    ( nil = sK53
    | nil = sK54 ),
    inference(cnf_transformation,[],[f348]) ).

fof(f562,plain,
    ( nil != sK54
    | nil != sK53 ),
    inference(cnf_transformation,[],[f348]) ).

fof(f563,plain,
    ( nil != sK56
    | nil != sK55 ),
    inference(definition_unfolding,[],[f562,f552,f553]) ).

fof(f566,plain,
    ( nil = sK55
    | nil = sK56 ),
    inference(definition_unfolding,[],[f559,f553,f552]) ).

fof(f568,plain,
    ssList(sK55),
    inference(definition_unfolding,[],[f548,f553]) ).

fof(f573,plain,
    ! [X2,X1] :
      ( rearsegP(app(X2,X1),X1)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(app(X2,X1)) ),
    inference(equality_resolution,[],[f366]) ).

cnf(c_64,plain,
    ( ~ ssList(app(X0,X1))
    | ~ ssList(X0)
    | ~ ssList(X1)
    | rearsegP(app(X0,X1),X1) ),
    inference(cnf_transformation,[],[f573]) ).

cnf(c_153,plain,
    ( ~ ssList(X0)
    | ~ ssList(X1)
    | ssList(app(X0,X1)) ),
    inference(cnf_transformation,[],[f453]) ).

cnf(c_189,plain,
    ( ~ rearsegP(nil,X0)
    | ~ ssList(X0)
    | X0 = nil ),
    inference(cnf_transformation,[],[f488]) ).

cnf(c_232,plain,
    ( ~ ssList(X0)
    | app(X0,nil) = X0 ),
    inference(cnf_transformation,[],[f534]) ).

cnf(c_246,negated_conjecture,
    ( nil != sK56
    | nil != sK55 ),
    inference(cnf_transformation,[],[f563]) ).

cnf(c_247,negated_conjecture,
    ( nil = sK56
    | nil = sK55 ),
    inference(cnf_transformation,[],[f566]) ).

cnf(c_248,negated_conjecture,
    ( nil != sK55
    | nil = sK56 ),
    inference(cnf_transformation,[],[f558]) ).

cnf(c_251,negated_conjecture,
    app(sK55,sK57) = sK56,
    inference(cnf_transformation,[],[f555]) ).

cnf(c_252,negated_conjecture,
    ssList(sK57),
    inference(cnf_transformation,[],[f554]) ).

cnf(c_256,negated_conjecture,
    ssList(sK55),
    inference(cnf_transformation,[],[f568]) ).

cnf(c_369,negated_conjecture,
    nil = sK56,
    inference(global_subsumption_just,[status(thm)],[c_247,c_247,c_248]) ).

cnf(c_371,negated_conjecture,
    nil = sK56,
    inference(global_subsumption_just,[status(thm)],[c_248,c_369]) ).

cnf(c_375,negated_conjecture,
    nil != sK55,
    inference(global_subsumption_just,[status(thm)],[c_246,c_247,c_248,c_246]) ).

cnf(c_381,plain,
    ( ~ ssList(X0)
    | ~ ssList(X1)
    | rearsegP(app(X0,X1),X1) ),
    inference(global_subsumption_just,[status(thm)],[c_64,c_153,c_64]) ).

cnf(c_1788,plain,
    app(sK55,sK57) = nil,
    inference(light_normalisation,[status(thm)],[c_251,c_371]) ).

cnf(c_12095,plain,
    app(sK55,nil) = sK55,
    inference(superposition,[status(thm)],[c_256,c_232]) ).

cnf(c_12939,plain,
    ( ~ ssList(sK55)
    | ~ ssList(sK57)
    | rearsegP(nil,sK57) ),
    inference(superposition,[status(thm)],[c_1788,c_381]) ).

cnf(c_12948,plain,
    rearsegP(nil,sK57),
    inference(forward_subsumption_resolution,[status(thm)],[c_12939,c_252,c_256]) ).

cnf(c_12991,plain,
    ( ~ ssList(sK57)
    | nil = sK57 ),
    inference(superposition,[status(thm)],[c_12948,c_189]) ).

cnf(c_12992,plain,
    nil = sK57,
    inference(forward_subsumption_resolution,[status(thm)],[c_12991,c_252]) ).

cnf(c_13001,plain,
    app(sK55,nil) = nil,
    inference(demodulation,[status(thm)],[c_1788,c_12992]) ).

cnf(c_13011,plain,
    nil = sK55,
    inference(light_normalisation,[status(thm)],[c_13001,c_12095]) ).

cnf(c_13012,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_13011,c_375]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SWC032+1 : TPTP v8.1.2. Released v2.4.0.
% 0.11/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n021.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % 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 16:39:58 EDT 2023
% 0.13/0.34  % 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
% 0.48/1.16  % SZS status Started for theBenchmark.p
% 0.48/1.16  % SZS status Theorem for theBenchmark.p
% 0.48/1.16  
% 0.48/1.16  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.48/1.16  
% 0.48/1.16  ------  iProver source info
% 0.48/1.16  
% 0.48/1.16  git: date: 2023-05-31 18:12:56 +0000
% 0.48/1.16  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.48/1.16  git: non_committed_changes: false
% 0.48/1.16  git: last_make_outside_of_git: false
% 0.48/1.16  
% 0.48/1.16  ------ Parsing...
% 0.48/1.16  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 0.48/1.16  
% 0.48/1.16  ------ Preprocessing... sup_sim: 3  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 
% 0.48/1.16  
% 0.48/1.16  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 0.48/1.16  
% 0.48/1.16  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 0.48/1.16  ------ Proving...
% 0.48/1.16  ------ Problem Properties 
% 0.48/1.16  
% 0.48/1.16  
% 0.48/1.16  clauses                                 187
% 0.48/1.16  conjectures                             6
% 0.48/1.16  EPR                                     54
% 0.48/1.16  Horn                                    119
% 0.48/1.16  unary                                   22
% 0.48/1.16  binary                                  40
% 0.48/1.16  lits                                    631
% 0.48/1.16  lits eq                                 83
% 0.48/1.16  fd_pure                                 0
% 0.48/1.16  fd_pseudo                               0
% 0.48/1.16  fd_cond                                 21
% 0.48/1.16  fd_pseudo_cond                          14
% 0.48/1.16  AC symbols                              0
% 0.48/1.16  
% 0.48/1.16  ------ Schedule dynamic 5 is on 
% 0.48/1.16  
% 0.48/1.16  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.48/1.16  
% 0.48/1.16  
% 0.48/1.16  ------ 
% 0.48/1.16  Current options:
% 0.48/1.16  ------ 
% 0.48/1.16  
% 0.48/1.16  
% 0.48/1.16  
% 0.48/1.16  
% 0.48/1.16  ------ Proving...
% 0.48/1.16  
% 0.48/1.16  
% 0.48/1.16  % SZS status Theorem for theBenchmark.p
% 0.48/1.16  
% 0.48/1.16  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.80/1.16  
% 0.80/1.17  
%------------------------------------------------------------------------------