TSTP Solution File: SWC211+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWC211+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n020.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 : Wed May  1 04:00:38 EDT 2024

% Result   : Theorem 0.48s 0.71s
% Output   : Refutation 0.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   28
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   87 (  14 unt;   0 def)
%            Number of atoms       :  464 ( 196 equ)
%            Maximal formula atoms :   28 (   5 avg)
%            Number of connectives :  613 ( 236   ~; 231   |; 116   &)
%                                         (   5 <=>;  25  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   19 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   2 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   5 con; 0-2 aty)
%            Number of variables   :  146 ( 108   !;  38   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f470,plain,
    $false,
    inference(avatar_sat_refutation,[],[f205,f469]) ).

fof(f469,plain,
    ~ spl8_1,
    inference(avatar_contradiction_clause,[],[f468]) ).

fof(f468,plain,
    ( $false
    | ~ spl8_1 ),
    inference(subsumption_resolution,[],[f465,f138]) ).

fof(f138,plain,
    ssList(sK3),
    inference(cnf_transformation,[],[f124]) ).

fof(f124,plain,
    ( ( nil != sK3
      | nil = sK2 )
    & ~ neq(sK0,nil)
    & ! [X4] :
        ( ! [X5] :
            ( app(cons(X4,nil),X5) != sK3
            | app(X5,cons(X4,nil)) = sK2
            | ~ ssList(X5) )
        | ~ ssItem(X4) )
    & neq(sK1,nil)
    & sK0 = sK2
    & sK1 = sK3
    & ssList(sK3)
    & ssList(sK2)
    & ssList(sK1)
    & ssList(sK0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f99,f123,f122,f121,f120]) ).

fof(f120,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( ? [X2] :
                ( ? [X3] :
                    ( ( nil != X3
                      | nil = X2 )
                    & ~ neq(X0,nil)
                    & ! [X4] :
                        ( ! [X5] :
                            ( app(cons(X4,nil),X5) != X3
                            | app(X5,cons(X4,nil)) = X2
                            | ~ ssList(X5) )
                        | ~ ssItem(X4) )
                    & neq(X1,nil)
                    & X0 = X2
                    & X1 = X3
                    & ssList(X3) )
                & ssList(X2) )
            & ssList(X1) )
        & ssList(X0) )
   => ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( nil != X3
                    | nil = X2 )
                  & ~ neq(sK0,nil)
                  & ! [X4] :
                      ( ! [X5] :
                          ( app(cons(X4,nil),X5) != X3
                          | app(X5,cons(X4,nil)) = X2
                          | ~ ssList(X5) )
                      | ~ ssItem(X4) )
                  & neq(X1,nil)
                  & sK0 = X2
                  & X1 = X3
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f121,plain,
    ( ? [X1] :
        ( ? [X2] :
            ( ? [X3] :
                ( ( nil != X3
                  | nil = X2 )
                & ~ neq(sK0,nil)
                & ! [X4] :
                    ( ! [X5] :
                        ( app(cons(X4,nil),X5) != X3
                        | app(X5,cons(X4,nil)) = X2
                        | ~ ssList(X5) )
                    | ~ ssItem(X4) )
                & neq(X1,nil)
                & sK0 = X2
                & X1 = X3
                & ssList(X3) )
            & ssList(X2) )
        & ssList(X1) )
   => ( ? [X2] :
          ( ? [X3] :
              ( ( nil != X3
                | nil = X2 )
              & ~ neq(sK0,nil)
              & ! [X4] :
                  ( ! [X5] :
                      ( app(cons(X4,nil),X5) != X3
                      | app(X5,cons(X4,nil)) = X2
                      | ~ ssList(X5) )
                  | ~ ssItem(X4) )
              & neq(sK1,nil)
              & sK0 = X2
              & sK1 = X3
              & ssList(X3) )
          & ssList(X2) )
      & ssList(sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f122,plain,
    ( ? [X2] :
        ( ? [X3] :
            ( ( nil != X3
              | nil = X2 )
            & ~ neq(sK0,nil)
            & ! [X4] :
                ( ! [X5] :
                    ( app(cons(X4,nil),X5) != X3
                    | app(X5,cons(X4,nil)) = X2
                    | ~ ssList(X5) )
                | ~ ssItem(X4) )
            & neq(sK1,nil)
            & sK0 = X2
            & sK1 = X3
            & ssList(X3) )
        & ssList(X2) )
   => ( ? [X3] :
          ( ( nil != X3
            | nil = sK2 )
          & ~ neq(sK0,nil)
          & ! [X4] :
              ( ! [X5] :
                  ( app(cons(X4,nil),X5) != X3
                  | app(X5,cons(X4,nil)) = sK2
                  | ~ ssList(X5) )
              | ~ ssItem(X4) )
          & neq(sK1,nil)
          & sK0 = sK2
          & sK1 = X3
          & ssList(X3) )
      & ssList(sK2) ) ),
    introduced(choice_axiom,[]) ).

fof(f123,plain,
    ( ? [X3] :
        ( ( nil != X3
          | nil = sK2 )
        & ~ neq(sK0,nil)
        & ! [X4] :
            ( ! [X5] :
                ( app(cons(X4,nil),X5) != X3
                | app(X5,cons(X4,nil)) = sK2
                | ~ ssList(X5) )
            | ~ ssItem(X4) )
        & neq(sK1,nil)
        & sK0 = sK2
        & sK1 = X3
        & ssList(X3) )
   => ( ( nil != sK3
        | nil = sK2 )
      & ~ neq(sK0,nil)
      & ! [X4] :
          ( ! [X5] :
              ( app(cons(X4,nil),X5) != sK3
              | app(X5,cons(X4,nil)) = sK2
              | ~ ssList(X5) )
          | ~ ssItem(X4) )
      & neq(sK1,nil)
      & sK0 = sK2
      & sK1 = sK3
      & ssList(sK3) ) ),
    introduced(choice_axiom,[]) ).

fof(f99,plain,
    ? [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ( nil != X3
                    | nil = X2 )
                  & ~ neq(X0,nil)
                  & ! [X4] :
                      ( ! [X5] :
                          ( app(cons(X4,nil),X5) != X3
                          | app(X5,cons(X4,nil)) = X2
                          | ~ ssList(X5) )
                      | ~ ssItem(X4) )
                  & neq(X1,nil)
                  & X0 = X2
                  & X1 = X3
                  & ssList(X3) )
              & ssList(X2) )
          & ssList(X1) )
      & ssList(X0) ),
    inference(flattening,[],[f98]) ).

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

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

fof(f96,conjecture,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ! [X2] :
              ( ssList(X2)
             => ! [X3] :
                  ( ssList(X3)
                 => ( ( nil = X3
                      & nil != X2 )
                    | neq(X0,nil)
                    | ? [X4] :
                        ( ? [X5] :
                            ( app(cons(X4,nil),X5) = X3
                            & app(X5,cons(X4,nil)) != X2
                            & ssList(X5) )
                        & ssItem(X4) )
                    | ~ neq(X1,nil)
                    | X0 != X2
                    | X1 != X3 ) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.m6rnp0yyDe/Vampire---4.8_9007',co1) ).

fof(f465,plain,
    ( ~ ssList(sK3)
    | ~ spl8_1 ),
    inference(trivial_inequality_removal,[],[f464]) ).

fof(f464,plain,
    ( sK3 != sK3
    | ~ ssList(sK3)
    | ~ spl8_1 ),
    inference(duplicate_literal_removal,[],[f463]) ).

fof(f463,plain,
    ( sK3 != sK3
    | ~ ssList(sK3)
    | ~ ssList(sK3)
    | ~ spl8_1 ),
    inference(resolution,[],[f440,f181]) ).

fof(f181,plain,
    ! [X1] :
      ( ~ neq(X1,X1)
      | ~ ssList(X1) ),
    inference(duplicate_literal_removal,[],[f178]) ).

fof(f178,plain,
    ! [X1] :
      ( ~ neq(X1,X1)
      | ~ ssList(X1)
      | ~ ssList(X1) ),
    inference(equality_resolution,[],[f167]) ).

fof(f167,plain,
    ! [X0,X1] :
      ( X0 != X1
      | ~ neq(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f133]) ).

fof(f133,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( neq(X0,X1)
              | X0 = X1 )
            & ( X0 != X1
              | ~ neq(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f118]) ).

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

fof(f15,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( neq(X0,X1)
          <=> X0 != X1 ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.m6rnp0yyDe/Vampire---4.8_9007',ax15) ).

fof(f440,plain,
    ( ! [X0] :
        ( neq(sK3,X0)
        | sK3 != X0
        | ~ ssList(X0) )
    | ~ spl8_1 ),
    inference(superposition,[],[f173,f432]) ).

fof(f432,plain,
    ( ! [X0] :
        ( nil = X0
        | sK3 != X0
        | ~ ssList(X0) )
    | ~ spl8_1 ),
    inference(subsumption_resolution,[],[f421,f150]) ).

fof(f150,plain,
    ! [X0] :
      ( ssItem(sK7(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f130]) ).

fof(f130,plain,
    ! [X0] :
      ( ( cons(sK7(X0),sK6(X0)) = X0
        & ssItem(sK7(X0))
        & ssList(sK6(X0)) )
      | nil = X0
      | ~ ssList(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7])],[f102,f129,f128]) ).

fof(f128,plain,
    ! [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( cons(X2,X1) = X0
              & ssItem(X2) )
          & ssList(X1) )
     => ( ? [X2] :
            ( cons(X2,sK6(X0)) = X0
            & ssItem(X2) )
        & ssList(sK6(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f129,plain,
    ! [X0] :
      ( ? [X2] :
          ( cons(X2,sK6(X0)) = X0
          & ssItem(X2) )
     => ( cons(sK7(X0),sK6(X0)) = X0
        & ssItem(sK7(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f102,plain,
    ! [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( cons(X2,X1) = X0
              & ssItem(X2) )
          & ssList(X1) )
      | nil = X0
      | ~ ssList(X0) ),
    inference(flattening,[],[f101]) ).

fof(f101,plain,
    ! [X0] :
      ( ? [X1] :
          ( ? [X2] :
              ( cons(X2,X1) = X0
              & ssItem(X2) )
          & ssList(X1) )
      | nil = X0
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f20]) ).

fof(f20,axiom,
    ! [X0] :
      ( ssList(X0)
     => ( ? [X1] :
            ( ? [X2] :
                ( cons(X2,X1) = X0
                & ssItem(X2) )
            & ssList(X1) )
        | nil = X0 ) ),
    file('/export/starexec/sandbox/tmp/tmp.m6rnp0yyDe/Vampire---4.8_9007',ax20) ).

fof(f421,plain,
    ( ! [X0] :
        ( nil = X0
        | sK3 != X0
        | ~ ssItem(sK7(X0))
        | ~ ssList(X0) )
    | ~ spl8_1 ),
    inference(duplicate_literal_removal,[],[f409]) ).

fof(f409,plain,
    ( ! [X0] :
        ( nil = X0
        | sK3 != X0
        | ~ ssItem(sK7(X0))
        | ~ ssList(X0)
        | nil = X0
        | ~ ssList(X0)
        | sK3 != X0 )
    | ~ spl8_1 ),
    inference(superposition,[],[f308,f396]) ).

fof(f396,plain,
    ( ! [X0] :
        ( cons(sK7(X0),nil) = X0
        | nil = X0
        | ~ ssList(X0)
        | sK3 != X0 )
    | ~ spl8_1 ),
    inference(duplicate_literal_removal,[],[f395]) ).

fof(f395,plain,
    ( ! [X0] :
        ( cons(sK7(X0),nil) = X0
        | nil = X0
        | ~ ssList(X0)
        | sK3 != X0
        | nil = X0
        | ~ ssList(X0) )
    | ~ spl8_1 ),
    inference(superposition,[],[f151,f384]) ).

fof(f384,plain,
    ( ! [X0] :
        ( nil = sK6(X0)
        | sK3 != X0
        | nil = X0
        | ~ ssList(X0) )
    | ~ spl8_1 ),
    inference(subsumption_resolution,[],[f383,f150]) ).

fof(f383,plain,
    ( ! [X0] :
        ( sK3 != X0
        | nil = sK6(X0)
        | nil = X0
        | ~ ssList(X0)
        | ~ ssItem(sK7(X0)) )
    | ~ spl8_1 ),
    inference(subsumption_resolution,[],[f381,f171]) ).

fof(f171,plain,
    ssList(nil),
    inference(cnf_transformation,[],[f17]) ).

fof(f17,axiom,
    ssList(nil),
    file('/export/starexec/sandbox/tmp/tmp.m6rnp0yyDe/Vampire---4.8_9007',ax17) ).

fof(f381,plain,
    ( ! [X0] :
        ( sK3 != X0
        | nil = sK6(X0)
        | nil = X0
        | ~ ssList(X0)
        | ~ ssItem(sK7(X0))
        | ~ ssList(nil) )
    | ~ spl8_1 ),
    inference(resolution,[],[f379,f155]) ).

fof(f155,plain,
    ! [X0,X1] :
      ( ssList(cons(X1,X0))
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f106]) ).

fof(f106,plain,
    ! [X0] :
      ( ! [X1] :
          ( ssList(cons(X1,X0))
          | ~ ssItem(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f16,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssItem(X1)
         => ssList(cons(X1,X0)) ) ),
    file('/export/starexec/sandbox/tmp/tmp.m6rnp0yyDe/Vampire---4.8_9007',ax16) ).

fof(f379,plain,
    ( ! [X0] :
        ( ~ ssList(cons(sK7(X0),nil))
        | sK3 != X0
        | nil = sK6(X0)
        | nil = X0
        | ~ ssList(X0) )
    | ~ spl8_1 ),
    inference(subsumption_resolution,[],[f378,f150]) ).

fof(f378,plain,
    ( ! [X0] :
        ( sK3 != X0
        | ~ ssList(cons(sK7(X0),nil))
        | nil = sK6(X0)
        | ~ ssItem(sK7(X0))
        | nil = X0
        | ~ ssList(X0) )
    | ~ spl8_1 ),
    inference(subsumption_resolution,[],[f372,f149]) ).

fof(f149,plain,
    ! [X0] :
      ( ssList(sK6(X0))
      | nil = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f130]) ).

fof(f372,plain,
    ( ! [X0] :
        ( sK3 != X0
        | ~ ssList(cons(sK7(X0),nil))
        | ~ ssList(sK6(X0))
        | nil = sK6(X0)
        | ~ ssItem(sK7(X0))
        | nil = X0
        | ~ ssList(X0) )
    | ~ spl8_1 ),
    inference(superposition,[],[f370,f151]) ).

fof(f370,plain,
    ( ! [X0,X1] :
        ( cons(X0,X1) != sK3
        | ~ ssList(cons(X0,nil))
        | ~ ssList(X1)
        | nil = X1
        | ~ ssItem(X0) )
    | ~ spl8_1 ),
    inference(duplicate_literal_removal,[],[f364]) ).

fof(f364,plain,
    ( ! [X0,X1] :
        ( cons(X0,X1) != sK3
        | ~ ssList(cons(X0,nil))
        | ~ ssList(X1)
        | nil = X1
        | ~ ssItem(X0)
        | ~ ssItem(X0)
        | ~ ssList(X1) )
    | ~ spl8_1 ),
    inference(superposition,[],[f246,f161]) ).

fof(f161,plain,
    ! [X0,X1] :
      ( cons(X1,X0) = app(cons(X1,nil),X0)
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f110]) ).

fof(f110,plain,
    ! [X0] :
      ( ! [X1] :
          ( cons(X1,X0) = app(cons(X1,nil),X0)
          | ~ ssItem(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f81]) ).

fof(f81,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssItem(X1)
         => cons(X1,X0) = app(cons(X1,nil),X0) ) ),
    file('/export/starexec/sandbox/tmp/tmp.m6rnp0yyDe/Vampire---4.8_9007',ax81) ).

fof(f246,plain,
    ( ! [X0,X1] :
        ( app(cons(X1,nil),X0) != sK3
        | ~ ssList(cons(X1,nil))
        | ~ ssList(X0)
        | nil = X0
        | ~ ssItem(X1) )
    | ~ spl8_1 ),
    inference(subsumption_resolution,[],[f237,f186]) ).

fof(f186,plain,
    ( nil = sK2
    | ~ spl8_1 ),
    inference(avatar_component_clause,[],[f184]) ).

fof(f184,plain,
    ( spl8_1
  <=> nil = sK2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_1])]) ).

fof(f237,plain,
    ! [X0,X1] :
      ( nil != sK2
      | nil = X0
      | ~ ssList(cons(X1,nil))
      | ~ ssList(X0)
      | app(cons(X1,nil),X0) != sK3
      | ~ ssItem(X1) ),
    inference(duplicate_literal_removal,[],[f218]) ).

fof(f218,plain,
    ! [X0,X1] :
      ( nil != sK2
      | nil = X0
      | ~ ssList(cons(X1,nil))
      | ~ ssList(X0)
      | app(cons(X1,nil),X0) != sK3
      | ~ ssList(X0)
      | ~ ssItem(X1) ),
    inference(superposition,[],[f158,f142]) ).

fof(f142,plain,
    ! [X4,X5] :
      ( app(X5,cons(X4,nil)) = sK2
      | app(cons(X4,nil),X5) != sK3
      | ~ ssList(X5)
      | ~ ssItem(X4) ),
    inference(cnf_transformation,[],[f124]) ).

fof(f158,plain,
    ! [X0,X1] :
      ( nil != app(X0,X1)
      | nil = X0
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f132]) ).

fof(f132,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( nil = app(X0,X1)
              | nil != X0
              | nil != X1 )
            & ( ( nil = X0
                & nil = X1 )
              | nil != app(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(flattening,[],[f131]) ).

fof(f131,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( nil = app(X0,X1)
              | nil != X0
              | nil != X1 )
            & ( ( nil = X0
                & nil = X1 )
              | nil != app(X0,X1) ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(nnf_transformation,[],[f108]) ).

fof(f108,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( nil = app(X0,X1)
          <=> ( nil = X0
              & nil = X1 ) )
          | ~ ssList(X1) )
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f83]) ).

fof(f83,axiom,
    ! [X0] :
      ( ssList(X0)
     => ! [X1] :
          ( ssList(X1)
         => ( nil = app(X0,X1)
          <=> ( nil = X0
              & nil = X1 ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.m6rnp0yyDe/Vampire---4.8_9007',ax83) ).

fof(f151,plain,
    ! [X0] :
      ( cons(sK7(X0),sK6(X0)) = X0
      | nil = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f130]) ).

fof(f308,plain,
    ( ! [X0] :
        ( nil = cons(X0,nil)
        | cons(X0,nil) != sK3
        | ~ ssItem(X0)
        | ~ ssList(cons(X0,nil)) )
    | ~ spl8_1 ),
    inference(duplicate_literal_removal,[],[f305]) ).

fof(f305,plain,
    ( ! [X0] :
        ( cons(X0,nil) != sK3
        | nil = cons(X0,nil)
        | ~ ssItem(X0)
        | ~ ssList(cons(X0,nil))
        | ~ ssList(cons(X0,nil)) )
    | ~ spl8_1 ),
    inference(superposition,[],[f240,f156]) ).

fof(f156,plain,
    ! [X0] :
      ( app(X0,nil) = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f107]) ).

fof(f107,plain,
    ! [X0] :
      ( app(X0,nil) = X0
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f84]) ).

fof(f84,axiom,
    ! [X0] :
      ( ssList(X0)
     => app(X0,nil) = X0 ),
    file('/export/starexec/sandbox/tmp/tmp.m6rnp0yyDe/Vampire---4.8_9007',ax84) ).

fof(f240,plain,
    ( ! [X0] :
        ( sK3 != app(cons(X0,nil),nil)
        | nil = cons(X0,nil)
        | ~ ssItem(X0)
        | ~ ssList(cons(X0,nil)) )
    | ~ spl8_1 ),
    inference(forward_demodulation,[],[f239,f186]) ).

fof(f239,plain,
    ! [X0] :
      ( cons(X0,nil) = sK2
      | sK3 != app(cons(X0,nil),nil)
      | ~ ssItem(X0)
      | ~ ssList(cons(X0,nil)) ),
    inference(subsumption_resolution,[],[f212,f171]) ).

fof(f212,plain,
    ! [X0] :
      ( cons(X0,nil) = sK2
      | sK3 != app(cons(X0,nil),nil)
      | ~ ssList(nil)
      | ~ ssItem(X0)
      | ~ ssList(cons(X0,nil)) ),
    inference(superposition,[],[f142,f164]) ).

fof(f164,plain,
    ! [X0] :
      ( app(nil,X0) = X0
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f115]) ).

fof(f115,plain,
    ! [X0] :
      ( app(nil,X0) = X0
      | ~ ssList(X0) ),
    inference(ennf_transformation,[],[f28]) ).

fof(f28,axiom,
    ! [X0] :
      ( ssList(X0)
     => app(nil,X0) = X0 ),
    file('/export/starexec/sandbox/tmp/tmp.m6rnp0yyDe/Vampire---4.8_9007',ax28) ).

fof(f173,plain,
    neq(sK3,nil),
    inference(definition_unfolding,[],[f141,f139]) ).

fof(f139,plain,
    sK1 = sK3,
    inference(cnf_transformation,[],[f124]) ).

fof(f141,plain,
    neq(sK1,nil),
    inference(cnf_transformation,[],[f124]) ).

fof(f205,plain,
    spl8_1,
    inference(avatar_split_clause,[],[f204,f184]) ).

fof(f204,plain,
    nil = sK2,
    inference(subsumption_resolution,[],[f203,f137]) ).

fof(f137,plain,
    ssList(sK2),
    inference(cnf_transformation,[],[f124]) ).

fof(f203,plain,
    ( nil = sK2
    | ~ ssList(sK2) ),
    inference(subsumption_resolution,[],[f193,f171]) ).

fof(f193,plain,
    ( nil = sK2
    | ~ ssList(nil)
    | ~ ssList(sK2) ),
    inference(resolution,[],[f172,f168]) ).

fof(f168,plain,
    ! [X0,X1] :
      ( neq(X0,X1)
      | X0 = X1
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f133]) ).

fof(f172,plain,
    ~ neq(sK2,nil),
    inference(definition_unfolding,[],[f143,f140]) ).

fof(f140,plain,
    sK0 = sK2,
    inference(cnf_transformation,[],[f124]) ).

fof(f143,plain,
    ~ neq(sK0,nil),
    inference(cnf_transformation,[],[f124]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : SWC211+1 : TPTP v8.1.2. Released v2.4.0.
% 0.11/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.16/0.36  % Computer : n020.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Tue Apr 30 18:15:17 EDT 2024
% 0.16/0.36  % CPUTime    : 
% 0.16/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.16/0.36  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.m6rnp0yyDe/Vampire---4.8_9007
% 0.48/0.69  % (9265)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.48/0.69  % (9261)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.48/0.69  % (9259)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.48/0.69  % (9262)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.48/0.69  % (9260)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.48/0.69  % (9263)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.48/0.69  % (9266)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.48/0.70  % (9264)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.48/0.71  % (9263)Instruction limit reached!
% 0.48/0.71  % (9263)------------------------------
% 0.48/0.71  % (9263)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.48/0.71  % (9263)Termination reason: Unknown
% 0.48/0.71  % (9263)Termination phase: Saturation
% 0.48/0.71  
% 0.48/0.71  % (9263)Memory used [KB]: 1991
% 0.48/0.71  % (9263)Time elapsed: 0.020 s
% 0.48/0.71  % (9263)Instructions burned: 34 (million)
% 0.48/0.71  % (9263)------------------------------
% 0.48/0.71  % (9263)------------------------------
% 0.48/0.71  % (9259)Instruction limit reached!
% 0.48/0.71  % (9259)------------------------------
% 0.48/0.71  % (9259)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.48/0.71  % (9259)Termination reason: Unknown
% 0.48/0.71  % (9259)Termination phase: Saturation
% 0.48/0.71  
% 0.48/0.71  % (9259)Memory used [KB]: 1339
% 0.48/0.71  % (9259)Time elapsed: 0.021 s
% 0.48/0.71  % (9259)Instructions burned: 34 (million)
% 0.48/0.71  % (9259)------------------------------
% 0.48/0.71  % (9259)------------------------------
% 0.48/0.71  % (9265)Instruction limit reached!
% 0.48/0.71  % (9265)------------------------------
% 0.48/0.71  % (9265)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.48/0.71  % (9265)Termination reason: Unknown
% 0.48/0.71  % (9265)Termination phase: Saturation
% 0.48/0.71  
% 0.48/0.71  % (9265)Memory used [KB]: 2033
% 0.48/0.71  % (9265)Time elapsed: 0.022 s
% 0.48/0.71  % (9265)Instructions burned: 86 (million)
% 0.48/0.71  % (9265)------------------------------
% 0.48/0.71  % (9265)------------------------------
% 0.48/0.71  % (9264)First to succeed.
% 0.48/0.71  % (9262)Instruction limit reached!
% 0.48/0.71  % (9262)------------------------------
% 0.48/0.71  % (9262)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.48/0.71  % (9262)Termination reason: Unknown
% 0.48/0.71  % (9262)Termination phase: Saturation
% 0.48/0.71  
% 0.48/0.71  % (9262)Memory used [KB]: 1771
% 0.48/0.71  % (9262)Time elapsed: 0.021 s
% 0.48/0.71  % (9262)Instructions burned: 35 (million)
% 0.48/0.71  % (9262)------------------------------
% 0.48/0.71  % (9262)------------------------------
% 0.48/0.71  % (9267)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.48/0.71  % (9260)Also succeeded, but the first one will report.
% 0.48/0.71  % (9264)Refutation found. Thanks to Tanya!
% 0.48/0.71  % SZS status Theorem for Vampire---4
% 0.48/0.71  % SZS output start Proof for Vampire---4
% See solution above
% 0.48/0.71  % (9264)------------------------------
% 0.48/0.71  % (9264)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.48/0.71  % (9264)Termination reason: Refutation
% 0.48/0.71  
% 0.48/0.71  % (9264)Memory used [KB]: 1222
% 0.48/0.71  % (9264)Time elapsed: 0.035 s
% 0.48/0.71  % (9264)Instructions burned: 21 (million)
% 0.48/0.71  % (9264)------------------------------
% 0.48/0.71  % (9264)------------------------------
% 0.48/0.71  % (9255)Success in time 0.352 s
% 0.62/0.71  % Vampire---4.8 exiting
%------------------------------------------------------------------------------