TSTP Solution File: SWC029+1 by iProver---3.8

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%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SWC029+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n007.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 20:40:27 EDT 2023

% Result   : Theorem 0.44s 1.14s
% Output   : CNFRefutation 0.44s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   74 (  14 unt;   0 def)
%            Number of atoms       :  423 ( 203 equ)
%            Maximal formula atoms :   34 (   5 avg)
%            Number of connectives :  510 ( 161   ~; 153   |; 167   &)
%                                         (   4 <=>;  25  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   19 (   6 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   7 con; 0-2 aty)
%            Number of variables   :  122 (   0 sgn;  50   !;  60   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssItem(X1)
         => ( memberP(X0,X1)
          <=> ? [X2] :
                ( ? [X3] :
                    ( app(X2,cons(X1,X3)) = X0
                    & ssList(X3) )
                & ssList(X2) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).

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

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

fof(f38,axiom,
    ! [X0] :
      ( ssItem(X0)
     => ~ memberP(nil,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax38) ).

fof(f96,conjecture,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ! [X3] :
                  ( ssList(X3)
                 => ( ( ( nil = X1
                        | nil != X0 )
                      & ( nil = X0
                        | nil != X1 ) )
                    | ( neq(X3,nil)
                      & ! [X4] :
                          ( ssItem(X4)
                         => ! [X5] :
                              ( ssList(X5)
                             => ( app(X5,cons(X4,nil)) != X2
                                | app(cons(X4,nil),X5) != X3 ) ) ) )
                    | ( nil = X3
                      & nil != X2 )
                    | 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 ) )
                      | ( neq(X3,nil)
                        & ! [X4] :
                            ( ssItem(X4)
                           => ! [X5] :
                                ( ssList(X5)
                               => ( app(X5,cons(X4,nil)) != X2
                                  | app(cons(X4,nil),X5) != X3 ) ) ) )
                      | ( nil = X3
                        & nil != X2 )
                      | X0 != X2
                      | X1 != X3 ) ) ) ) ),
    inference(negated_conjecture,[],[f96]) ).

fof(f99,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( memberP(X0,X1)
          <=> ? [X2] :
                ( ? [X3] :
                    ( app(X2,cons(X1,X3)) = X0
                    & ssList(X3) )
                & ssList(X2) ) )
          | ~ ssItem(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f118,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( neq(X0,X1)
          <=> X0 != X1 )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f148,plain,
    ! [X0] :
      ( ~ memberP(nil,X0)
      | ~ ssItem(X0) ),
    inference(ennf_transformation,[],[f38]) ).

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

fof(f236,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( memberP(X0,X1)
              | ! [X2] :
                  ( ! [X3] :
                      ( app(X2,cons(X1,X3)) != X0
                      | ~ ssList(X3) )
                  | ~ ssList(X2) ) )
            & ( ? [X2] :
                  ( ? [X3] :
                      ( app(X2,cons(X1,X3)) = X0
                      & ssList(X3) )
                  & ssList(X2) )
              | ~ memberP(X0,X1) ) )
          | ~ ssItem(X1) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f99]) ).

fof(f237,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( memberP(X0,X1)
              | ! [X2] :
                  ( ! [X3] :
                      ( app(X2,cons(X1,X3)) != X0
                      | ~ ssList(X3) )
                  | ~ ssList(X2) ) )
            & ( ? [X4] :
                  ( ? [X5] :
                      ( app(X4,cons(X1,X5)) = X0
                      & ssList(X5) )
                  & ssList(X4) )
              | ~ memberP(X0,X1) ) )
          | ~ ssItem(X1) )
      | ~ ssList(X0) ),
    inference(rectify,[],[f236]) ).

fof(f238,plain,
    ! [X0,X1] :
      ( ? [X4] :
          ( ? [X5] :
              ( app(X4,cons(X1,X5)) = X0
              & ssList(X5) )
          & ssList(X4) )
     => ( ? [X5] :
            ( app(sK8(X0,X1),cons(X1,X5)) = X0
            & ssList(X5) )
        & ssList(sK8(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f239,plain,
    ! [X0,X1] :
      ( ? [X5] :
          ( app(sK8(X0,X1),cons(X1,X5)) = X0
          & ssList(X5) )
     => ( app(sK8(X0,X1),cons(X1,sK9(X0,X1))) = X0
        & ssList(sK9(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f240,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( memberP(X0,X1)
              | ! [X2] :
                  ( ! [X3] :
                      ( app(X2,cons(X1,X3)) != X0
                      | ~ ssList(X3) )
                  | ~ ssList(X2) ) )
            & ( ( app(sK8(X0,X1),cons(X1,sK9(X0,X1))) = X0
                & ssList(sK9(X0,X1))
                & ssList(sK8(X0,X1)) )
              | ~ memberP(X0,X1) ) )
          | ~ ssItem(X1) )
      | ~ ssList(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9])],[f237,f239,f238]) ).

fof(f316,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( neq(X0,X1)
              | X0 = X1 )
            & ( X0 != X1
              | ~ neq(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f118]) ).

fof(f343,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( ? [X2] :
                ( ? [X3] :
                    ( ( ( nil != X1
                        & nil = X0 )
                      | ( nil != X0
                        & nil = X1 ) )
                    & ( ~ neq(X3,nil)
                      | ? [X4] :
                          ( ? [X5] :
                              ( app(X5,cons(X4,nil)) = X2
                              & app(cons(X4,nil),X5) = X3
                              & ssList(X5) )
                          & ssItem(X4) ) )
                    & ( nil != X3
                      | nil = X2 )
                    & X0 = X2
                    & X1 = X3
                    & ssList(X3) )
                & ssList(X2) )
            & ssList(X1) )
        & ssList(X0) )
   => ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( ( nil != X1
                      & nil = sK53 )
                    | ( nil != sK53
                      & nil = X1 ) )
                  & ( ~ neq(X3,nil)
                    | ? [X4] :
                        ( ? [X5] :
                            ( app(X5,cons(X4,nil)) = X2
                            & app(cons(X4,nil),X5) = X3
                            & ssList(X5) )
                        & ssItem(X4) ) )
                  & ( nil != X3
                    | nil = X2 )
                  & 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 ) )
                & ( ~ neq(X3,nil)
                  | ? [X4] :
                      ( ? [X5] :
                          ( app(X5,cons(X4,nil)) = X2
                          & app(cons(X4,nil),X5) = X3
                          & ssList(X5) )
                      & ssItem(X4) ) )
                & ( nil != X3
                  | nil = X2 )
                & sK53 = X2
                & X1 = X3
                & ssList(X3) )
            & ssList(X2) )
        & ssList(X1) )
   => ( ? [X2] :
          ( ? [X3] :
              ( ( ( nil != sK54
                  & nil = sK53 )
                | ( nil != sK53
                  & nil = sK54 ) )
              & ( ~ neq(X3,nil)
                | ? [X4] :
                    ( ? [X5] :
                        ( app(X5,cons(X4,nil)) = X2
                        & app(cons(X4,nil),X5) = X3
                        & ssList(X5) )
                    & ssItem(X4) ) )
              & ( nil != X3
                | nil = X2 )
              & 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 ) )
            & ( ~ neq(X3,nil)
              | ? [X4] :
                  ( ? [X5] :
                      ( app(X5,cons(X4,nil)) = X2
                      & app(cons(X4,nil),X5) = X3
                      & ssList(X5) )
                  & ssItem(X4) ) )
            & ( nil != X3
              | nil = X2 )
            & sK53 = X2
            & sK54 = X3
            & ssList(X3) )
        & ssList(X2) )
   => ( ? [X3] :
          ( ( ( nil != sK54
              & nil = sK53 )
            | ( nil != sK53
              & nil = sK54 ) )
          & ( ~ neq(X3,nil)
            | ? [X4] :
                ( ? [X5] :
                    ( app(X5,cons(X4,nil)) = sK55
                    & app(cons(X4,nil),X5) = X3
                    & ssList(X5) )
                & ssItem(X4) ) )
          & ( nil != X3
            | nil = sK55 )
          & sK53 = sK55
          & sK54 = X3
          & ssList(X3) )
      & ssList(sK55) ) ),
    introduced(choice_axiom,[]) ).

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

fof(f347,plain,
    ( ? [X4] :
        ( ? [X5] :
            ( app(X5,cons(X4,nil)) = sK55
            & app(cons(X4,nil),X5) = sK56
            & ssList(X5) )
        & ssItem(X4) )
   => ( ? [X5] :
          ( sK55 = app(X5,cons(sK57,nil))
          & sK56 = app(cons(sK57,nil),X5)
          & ssList(X5) )
      & ssItem(sK57) ) ),
    introduced(choice_axiom,[]) ).

fof(f348,plain,
    ( ? [X5] :
        ( sK55 = app(X5,cons(sK57,nil))
        & sK56 = app(cons(sK57,nil),X5)
        & ssList(X5) )
   => ( sK55 = app(sK58,cons(sK57,nil))
      & sK56 = app(cons(sK57,nil),sK58)
      & ssList(sK58) ) ),
    introduced(choice_axiom,[]) ).

fof(f349,plain,
    ( ( ( nil != sK54
        & nil = sK53 )
      | ( nil != sK53
        & nil = sK54 ) )
    & ( ~ neq(sK56,nil)
      | ( sK55 = app(sK58,cons(sK57,nil))
        & sK56 = app(cons(sK57,nil),sK58)
        & ssList(sK58)
        & ssItem(sK57) ) )
    & ( nil != sK56
      | nil = sK55 )
    & 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])],[f222,f348,f347,f346,f345,f344,f343]) ).

fof(f358,plain,
    ! [X2,X3,X0,X1] :
      ( memberP(X0,X1)
      | app(X2,cons(X1,X3)) != X0
      | ~ ssList(X3)
      | ~ ssList(X2)
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f240]) ).

fof(f440,plain,
    ! [X0,X1] :
      ( neq(X0,X1)
      | X0 = X1
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f316]) ).

fof(f442,plain,
    ssList(nil),
    inference(cnf_transformation,[],[f17]) ).

fof(f472,plain,
    ! [X0] :
      ( ~ memberP(nil,X0)
      | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f148]) ).

fof(f550,plain,
    ssList(sK54),
    inference(cnf_transformation,[],[f349]) ).

fof(f553,plain,
    sK54 = sK56,
    inference(cnf_transformation,[],[f349]) ).

fof(f554,plain,
    sK53 = sK55,
    inference(cnf_transformation,[],[f349]) ).

fof(f555,plain,
    ( nil != sK56
    | nil = sK55 ),
    inference(cnf_transformation,[],[f349]) ).

fof(f556,plain,
    ( ~ neq(sK56,nil)
    | ssItem(sK57) ),
    inference(cnf_transformation,[],[f349]) ).

fof(f557,plain,
    ( ~ neq(sK56,nil)
    | ssList(sK58) ),
    inference(cnf_transformation,[],[f349]) ).

fof(f559,plain,
    ( ~ neq(sK56,nil)
    | sK55 = app(sK58,cons(sK57,nil)) ),
    inference(cnf_transformation,[],[f349]) ).

fof(f560,plain,
    ( nil = sK53
    | nil = sK54 ),
    inference(cnf_transformation,[],[f349]) ).

fof(f563,plain,
    ( nil != sK54
    | nil != sK53 ),
    inference(cnf_transformation,[],[f349]) ).

fof(f564,plain,
    ( nil != sK56
    | nil != sK55 ),
    inference(definition_unfolding,[],[f563,f553,f554]) ).

fof(f567,plain,
    ( nil = sK55
    | nil = sK56 ),
    inference(definition_unfolding,[],[f560,f554,f553]) ).

fof(f568,plain,
    ssList(sK56),
    inference(definition_unfolding,[],[f550,f553]) ).

fof(f571,plain,
    ! [X2,X3,X1] :
      ( memberP(app(X2,cons(X1,X3)),X1)
      | ~ ssList(X3)
      | ~ ssList(X2)
      | ~ ssItem(X1)
      | ~ ssList(app(X2,cons(X1,X3))) ),
    inference(equality_resolution,[],[f358]) ).

cnf(c_54,plain,
    ( ~ ssList(app(X0,cons(X1,X2)))
    | ~ ssItem(X1)
    | ~ ssList(X0)
    | ~ ssList(X2)
    | memberP(app(X0,cons(X1,X2)),X1) ),
    inference(cnf_transformation,[],[f571]) ).

cnf(c_138,plain,
    ( ~ ssList(X0)
    | ~ ssList(X1)
    | X0 = X1
    | neq(X0,X1) ),
    inference(cnf_transformation,[],[f440]) ).

cnf(c_141,plain,
    ssList(nil),
    inference(cnf_transformation,[],[f442]) ).

cnf(c_171,plain,
    ( ~ memberP(nil,X0)
    | ~ ssItem(X0) ),
    inference(cnf_transformation,[],[f472]) ).

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

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

cnf(c_248,negated_conjecture,
    ( ~ neq(sK56,nil)
    | app(sK58,cons(sK57,nil)) = sK55 ),
    inference(cnf_transformation,[],[f559]) ).

cnf(c_250,negated_conjecture,
    ( ~ neq(sK56,nil)
    | ssList(sK58) ),
    inference(cnf_transformation,[],[f557]) ).

cnf(c_251,negated_conjecture,
    ( ~ neq(sK56,nil)
    | ssItem(sK57) ),
    inference(cnf_transformation,[],[f556]) ).

cnf(c_252,negated_conjecture,
    ( nil != sK56
    | nil = sK55 ),
    inference(cnf_transformation,[],[f555]) ).

cnf(c_255,negated_conjecture,
    ssList(sK56),
    inference(cnf_transformation,[],[f568]) ).

cnf(c_369,negated_conjecture,
    nil = sK55,
    inference(global_subsumption_just,[status(thm)],[c_247,c_247,c_252]) ).

cnf(c_371,negated_conjecture,
    nil = sK55,
    inference(global_subsumption_just,[status(thm)],[c_252,c_369]) ).

cnf(c_375,negated_conjecture,
    nil != sK56,
    inference(global_subsumption_just,[status(thm)],[c_246,c_247,c_252,c_246]) ).

cnf(c_2162,plain,
    ( ~ neq(sK56,nil)
    | app(sK58,cons(sK57,nil)) = nil ),
    inference(light_normalisation,[status(thm)],[c_248,c_371]) ).

cnf(c_3240,plain,
    ( X0 != sK56
    | X1 != nil
    | ~ ssList(X0)
    | ~ ssList(X1)
    | app(sK58,cons(sK57,nil)) = nil
    | X0 = X1 ),
    inference(resolution_lifted,[status(thm)],[c_138,c_2162]) ).

cnf(c_3241,plain,
    ( ~ ssList(nil)
    | ~ ssList(sK56)
    | app(sK58,cons(sK57,nil)) = nil
    | sK56 = nil ),
    inference(unflattening,[status(thm)],[c_3240]) ).

cnf(c_3242,plain,
    ( app(sK58,cons(sK57,nil)) = nil
    | sK56 = nil ),
    inference(global_subsumption_just,[status(thm)],[c_3241,c_255,c_141,c_3241]) ).

cnf(c_3250,plain,
    ( X0 != sK56
    | X1 != nil
    | ~ ssList(X0)
    | ~ ssList(X1)
    | X0 = X1
    | ssItem(sK57) ),
    inference(resolution_lifted,[status(thm)],[c_138,c_251]) ).

cnf(c_3251,plain,
    ( ~ ssList(nil)
    | ~ ssList(sK56)
    | sK56 = nil
    | ssItem(sK57) ),
    inference(unflattening,[status(thm)],[c_3250]) ).

cnf(c_3252,plain,
    ( sK56 = nil
    | ssItem(sK57) ),
    inference(global_subsumption_just,[status(thm)],[c_3251,c_255,c_141,c_3251]) ).

cnf(c_3260,plain,
    ( X0 != sK56
    | X1 != nil
    | ~ ssList(X0)
    | ~ ssList(X1)
    | X0 = X1
    | ssList(sK58) ),
    inference(resolution_lifted,[status(thm)],[c_138,c_250]) ).

cnf(c_3261,plain,
    ( ~ ssList(nil)
    | ~ ssList(sK56)
    | sK56 = nil
    | ssList(sK58) ),
    inference(unflattening,[status(thm)],[c_3260]) ).

cnf(c_3262,plain,
    ( sK56 = nil
    | ssList(sK58) ),
    inference(global_subsumption_just,[status(thm)],[c_3261,c_255,c_141,c_3261]) ).

cnf(c_11752,plain,
    ( ~ ssList(app(sK58,cons(sK57,nil)))
    | ~ ssItem(sK57)
    | ~ ssList(nil)
    | ~ ssList(sK58)
    | nil = sK56
    | memberP(nil,sK57) ),
    inference(superposition,[status(thm)],[c_3242,c_54]) ).

cnf(c_11753,plain,
    ( ~ ssList(app(sK58,cons(sK57,nil)))
    | ~ ssItem(sK57)
    | ~ ssList(sK58)
    | memberP(nil,sK57) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_11752,c_375,c_141]) ).

cnf(c_11798,plain,
    ( ~ ssItem(sK57)
    | ~ ssList(nil)
    | ~ ssList(sK58)
    | nil = sK56
    | memberP(nil,sK57) ),
    inference(superposition,[status(thm)],[c_3242,c_11753]) ).

cnf(c_11799,plain,
    ( ~ ssItem(sK57)
    | ~ ssList(sK58)
    | memberP(nil,sK57) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_11798,c_375,c_141]) ).

cnf(c_11930,plain,
    ( ~ ssItem(sK57)
    | ~ ssList(sK58) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_11799,c_171]) ).

cnf(c_11940,plain,
    ( ~ ssList(sK58)
    | nil = sK56 ),
    inference(superposition,[status(thm)],[c_3252,c_11930]) ).

cnf(c_11941,plain,
    ~ ssList(sK58),
    inference(forward_subsumption_resolution,[status(thm)],[c_11940,c_375]) ).

cnf(c_11942,plain,
    nil = sK56,
    inference(backward_subsumption_resolution,[status(thm)],[c_3262,c_11941]) ).

cnf(c_11943,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_11942,c_375]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SWC029+1 : TPTP v8.1.2. Released v2.4.0.
% 0.11/0.12  % Command  : run_iprover %s %d THM
% 0.12/0.33  % Computer : n007.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Mon Aug 28 18:34:43 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.18/0.45  Running first-order theorem proving
% 0.18/0.45  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.44/1.14  % SZS status Started for theBenchmark.p
% 0.44/1.14  % SZS status Theorem for theBenchmark.p
% 0.44/1.14  
% 0.44/1.14  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.44/1.14  
% 0.44/1.14  ------  iProver source info
% 0.44/1.14  
% 0.44/1.14  git: date: 2023-05-31 18:12:56 +0000
% 0.44/1.14  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.44/1.14  git: non_committed_changes: false
% 0.44/1.14  git: last_make_outside_of_git: false
% 0.44/1.14  
% 0.44/1.14  ------ Parsing...
% 0.44/1.14  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 0.44/1.14  
% 0.44/1.14  ------ 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: 5 0s  sf_e  pe_s  pe_e 
% 0.44/1.14  
% 0.44/1.14  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 0.44/1.14  
% 0.44/1.14  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 0.44/1.14  ------ Proving...
% 0.44/1.14  ------ Problem Properties 
% 0.44/1.14  
% 0.44/1.14  
% 0.44/1.14  clauses                                 187
% 0.44/1.14  conjectures                             3
% 0.44/1.14  EPR                                     54
% 0.44/1.14  Horn                                    115
% 0.44/1.14  unary                                   19
% 0.44/1.14  binary                                  44
% 0.44/1.14  lits                                    629
% 0.44/1.14  lits eq                                 86
% 0.44/1.14  fd_pure                                 0
% 0.44/1.14  fd_pseudo                               0
% 0.44/1.14  fd_cond                                 21
% 0.44/1.14  fd_pseudo_cond                          14
% 0.44/1.14  AC symbols                              0
% 0.44/1.14  
% 0.44/1.14  ------ Schedule dynamic 5 is on 
% 0.44/1.14  
% 0.44/1.14  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.44/1.14  
% 0.44/1.14  
% 0.44/1.14  ------ 
% 0.44/1.14  Current options:
% 0.44/1.14  ------ 
% 0.44/1.14  
% 0.44/1.14  
% 0.44/1.14  
% 0.44/1.14  
% 0.44/1.14  ------ Proving...
% 0.44/1.14  
% 0.44/1.14  
% 0.44/1.14  % SZS status Theorem for theBenchmark.p
% 0.44/1.14  
% 0.44/1.14  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.44/1.14  
% 0.44/1.14  
%------------------------------------------------------------------------------