TSTP Solution File: SWC377-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWC377-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% 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 : Wed Aug 31 18:40:48 EDT 2022

% Result   : Unsatisfiable 1.54s 0.55s
% Output   : Refutation 1.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   31
% Syntax   : Number of formulae    :  106 (   7 unt;   0 def)
%            Number of atoms       :  397 (  18 equ)
%            Maximal formula atoms :    9 (   3 avg)
%            Number of connectives :  551 ( 260   ~; 278   |;   0   &)
%                                         (  13 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   19 (  17 usr;  14 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   8 con; 0-2 aty)
%            Number of variables   :   41 (  41   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f849,plain,
    $false,
    inference(avatar_sat_refutation,[],[f220,f229,f238,f243,f244,f249,f254,f272,f281,f291,f320,f330,f342,f353,f635,f848]) ).

fof(f848,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_16
    | ~ spl0_17 ),
    inference(avatar_contradiction_clause,[],[f847]) ).

fof(f847,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_16
    | ~ spl0_17 ),
    inference(subsumption_resolution,[],[f846,f215]) ).

fof(f215,plain,
    ( ~ memberP(sk3,sk5)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f213]) ).

fof(f213,plain,
    ( spl0_1
  <=> memberP(sk3,sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f846,plain,
    ( memberP(sk3,sk5)
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_16
    | ~ spl0_17 ),
    inference(subsumption_resolution,[],[f845,f192]) ).

fof(f192,axiom,
    ssItem(sk5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).

fof(f845,plain,
    ( ~ ssItem(sk5)
    | memberP(sk3,sk5)
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_16
    | ~ spl0_17 ),
    inference(resolution,[],[f830,f218]) ).

fof(f218,plain,
    ( memberP(sk4,sk5)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f217]) ).

fof(f217,plain,
    ( spl0_2
  <=> memberP(sk4,sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f830,plain,
    ( ! [X2] :
        ( ~ memberP(sk4,X2)
        | ~ ssItem(X2)
        | memberP(sk3,X2) )
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_16
    | ~ spl0_17 ),
    inference(subsumption_resolution,[],[f829,f341]) ).

fof(f341,plain,
    ( ! [X1] :
        ( ~ memberP(sk7,X1)
        | ~ ssItem(X1)
        | memberP(sk3,X1) )
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f340]) ).

fof(f340,plain,
    ( spl0_17
  <=> ! [X1] :
        ( memberP(sk3,X1)
        | ~ ssItem(X1)
        | ~ memberP(sk7,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f829,plain,
    ( ! [X2] :
        ( memberP(sk7,X2)
        | ~ memberP(sk4,X2)
        | ~ ssItem(X2)
        | memberP(sk3,X2) )
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(duplicate_literal_removal,[],[f826]) ).

fof(f826,plain,
    ( ! [X2] :
        ( ~ ssItem(X2)
        | ~ ssItem(X2)
        | memberP(sk3,X2)
        | memberP(sk7,X2)
        | ~ memberP(sk4,X2) )
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(resolution,[],[f373,f329]) ).

fof(f329,plain,
    ( ! [X0] :
        ( ~ memberP(cons(sk6,nil),X0)
        | ~ ssItem(X0)
        | memberP(sk3,X0) )
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f328]) ).

fof(f328,plain,
    ( spl0_16
  <=> ! [X0] :
        ( ~ ssItem(X0)
        | ~ memberP(cons(sk6,nil),X0)
        | memberP(sk3,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f373,plain,
    ( ! [X7] :
        ( memberP(cons(sk6,nil),X7)
        | memberP(sk7,X7)
        | ~ memberP(sk4,X7)
        | ~ ssItem(X7) )
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f372,f313]) ).

fof(f313,plain,
    ( ssList(cons(sk6,nil))
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f312]) ).

fof(f312,plain,
    ( spl0_13
  <=> ssList(cons(sk6,nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f372,plain,
    ( ! [X7] :
        ( ~ ssList(cons(sk6,nil))
        | memberP(sk7,X7)
        | ~ memberP(sk4,X7)
        | memberP(cons(sk6,nil),X7)
        | ~ ssItem(X7) )
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f365,f242]) ).

fof(f242,plain,
    ( ssList(sk7)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f240]) ).

fof(f240,plain,
    ( spl0_7
  <=> ssList(sk7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f365,plain,
    ( ! [X7] :
        ( ~ memberP(sk4,X7)
        | ~ ssItem(X7)
        | ~ ssList(sk7)
        | memberP(cons(sk6,nil),X7)
        | memberP(sk7,X7)
        | ~ ssList(cons(sk6,nil)) )
    | ~ spl0_9 ),
    inference(superposition,[],[f158,f253]) ).

fof(f253,plain,
    ( sk4 = app(sk7,cons(sk6,nil))
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f251]) ).

fof(f251,plain,
    ( spl0_9
  <=> sk4 = app(sk7,cons(sk6,nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f158,axiom,
    ! [X2,X0,X1] :
      ( ~ memberP(app(X0,X1),X2)
      | memberP(X0,X2)
      | ~ ssList(X0)
      | ~ ssItem(X2)
      | memberP(X1,X2)
      | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause158) ).

fof(f635,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f634]) ).

fof(f634,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(subsumption_resolution,[],[f633,f192]) ).

fof(f633,plain,
    ( ~ ssItem(sk5)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(subsumption_resolution,[],[f631,f219]) ).

fof(f219,plain,
    ( ~ memberP(sk4,sk5)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f217]) ).

fof(f631,plain,
    ( memberP(sk4,sk5)
    | ~ ssItem(sk5)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(resolution,[],[f628,f214]) ).

fof(f214,plain,
    ( memberP(sk3,sk5)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f213]) ).

fof(f628,plain,
    ( ! [X1] :
        ( ~ memberP(sk3,X1)
        | ~ ssItem(X1)
        | memberP(sk4,X1) )
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(subsumption_resolution,[],[f627,f375]) ).

fof(f375,plain,
    ( ! [X0] :
        ( ~ memberP(sk7,X0)
        | memberP(sk4,X0)
        | ~ ssItem(X0) )
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f374,f242]) ).

fof(f374,plain,
    ( ! [X0] :
        ( memberP(sk4,X0)
        | ~ ssList(sk7)
        | ~ memberP(sk7,X0)
        | ~ ssItem(X0) )
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f358,f313]) ).

fof(f358,plain,
    ( ! [X0] :
        ( ~ ssList(cons(sk6,nil))
        | ~ ssList(sk7)
        | memberP(sk4,X0)
        | ~ memberP(sk7,X0)
        | ~ ssItem(X0) )
    | ~ spl0_9 ),
    inference(superposition,[],[f140,f253]) ).

fof(f140,axiom,
    ! [X2,X0,X1] :
      ( memberP(app(X0,X2),X1)
      | ~ memberP(X0,X1)
      | ~ ssList(X2)
      | ~ ssItem(X1)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause140) ).

fof(f627,plain,
    ( ! [X1] :
        ( memberP(sk4,X1)
        | ~ memberP(sk3,X1)
        | memberP(sk7,X1)
        | ~ ssItem(X1) )
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(duplicate_literal_removal,[],[f623]) ).

fof(f623,plain,
    ( ! [X1] :
        ( memberP(sk7,X1)
        | ~ ssItem(X1)
        | memberP(sk4,X1)
        | ~ ssItem(X1)
        | ~ memberP(sk3,X1) )
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(resolution,[],[f319,f381]) ).

fof(f381,plain,
    ( ! [X1] :
        ( ~ memberP(cons(sk6,nil),X1)
        | memberP(sk4,X1)
        | ~ ssItem(X1) )
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f380,f313]) ).

fof(f380,plain,
    ( ! [X1] :
        ( memberP(sk4,X1)
        | ~ ssItem(X1)
        | ~ ssList(cons(sk6,nil))
        | ~ memberP(cons(sk6,nil),X1) )
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f359,f242]) ).

fof(f359,plain,
    ( ! [X1] :
        ( ~ ssItem(X1)
        | memberP(sk4,X1)
        | ~ memberP(cons(sk6,nil),X1)
        | ~ ssList(sk7)
        | ~ ssList(cons(sk6,nil)) )
    | ~ spl0_9 ),
    inference(superposition,[],[f141,f253]) ).

fof(f141,axiom,
    ! [X2,X0,X1] :
      ( memberP(app(X2,X0),X1)
      | ~ ssList(X0)
      | ~ memberP(X0,X1)
      | ~ ssList(X2)
      | ~ ssItem(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause141) ).

fof(f319,plain,
    ( ! [X7] :
        ( memberP(cons(sk6,nil),X7)
        | memberP(sk7,X7)
        | ~ memberP(sk3,X7)
        | ~ ssItem(X7) )
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f318]) ).

fof(f318,plain,
    ( spl0_14
  <=> ! [X7] :
        ( ~ memberP(sk3,X7)
        | memberP(cons(sk6,nil),X7)
        | ~ ssItem(X7)
        | memberP(sk7,X7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f353,plain,
    ( ~ spl0_8
    | spl0_13 ),
    inference(avatar_contradiction_clause,[],[f352]) ).

fof(f352,plain,
    ( $false
    | ~ spl0_8
    | spl0_13 ),
    inference(subsumption_resolution,[],[f351,f8]) ).

fof(f8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).

fof(f351,plain,
    ( ~ ssList(nil)
    | ~ spl0_8
    | spl0_13 ),
    inference(subsumption_resolution,[],[f350,f248]) ).

fof(f248,plain,
    ( ssItem(sk6)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f246]) ).

fof(f246,plain,
    ( spl0_8
  <=> ssItem(sk6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f350,plain,
    ( ~ ssItem(sk6)
    | ~ ssList(nil)
    | spl0_13 ),
    inference(resolution,[],[f314,f86]) ).

fof(f86,axiom,
    ! [X0,X1] :
      ( ssList(cons(X0,X1))
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).

fof(f314,plain,
    ( ~ ssList(cons(sk6,nil))
    | spl0_13 ),
    inference(avatar_component_clause,[],[f312]) ).

fof(f342,plain,
    ( ~ spl0_13
    | spl0_17
    | ~ spl0_4
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f338,f240,f226,f340,f312]) ).

fof(f226,plain,
    ( spl0_4
  <=> sk3 = app(cons(sk6,nil),sk7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f338,plain,
    ( ! [X1] :
        ( memberP(sk3,X1)
        | ~ ssList(cons(sk6,nil))
        | ~ memberP(sk7,X1)
        | ~ ssItem(X1) )
    | ~ spl0_4
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f300,f242]) ).

fof(f300,plain,
    ( ! [X1] :
        ( ~ memberP(sk7,X1)
        | memberP(sk3,X1)
        | ~ ssList(cons(sk6,nil))
        | ~ ssItem(X1)
        | ~ ssList(sk7) )
    | ~ spl0_4 ),
    inference(superposition,[],[f141,f228]) ).

fof(f228,plain,
    ( sk3 = app(cons(sk6,nil),sk7)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f226]) ).

fof(f330,plain,
    ( ~ spl0_13
    | spl0_16
    | ~ spl0_4
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f326,f240,f226,f328,f312]) ).

fof(f326,plain,
    ( ! [X0] :
        ( ~ ssItem(X0)
        | ~ ssList(cons(sk6,nil))
        | memberP(sk3,X0)
        | ~ memberP(cons(sk6,nil),X0) )
    | ~ spl0_4
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f299,f242]) ).

fof(f299,plain,
    ( ! [X0] :
        ( ~ ssItem(X0)
        | ~ ssList(cons(sk6,nil))
        | memberP(sk3,X0)
        | ~ memberP(cons(sk6,nil),X0)
        | ~ ssList(sk7) )
    | ~ spl0_4 ),
    inference(superposition,[],[f140,f228]) ).

fof(f320,plain,
    ( ~ spl0_13
    | spl0_14
    | ~ spl0_4
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f316,f240,f226,f318,f312]) ).

fof(f316,plain,
    ( ! [X7] :
        ( ~ memberP(sk3,X7)
        | memberP(sk7,X7)
        | ~ ssItem(X7)
        | memberP(cons(sk6,nil),X7)
        | ~ ssList(cons(sk6,nil)) )
    | ~ spl0_4
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f306,f242]) ).

fof(f306,plain,
    ( ! [X7] :
        ( ~ ssList(cons(sk6,nil))
        | memberP(sk7,X7)
        | memberP(cons(sk6,nil),X7)
        | ~ ssList(sk7)
        | ~ memberP(sk3,X7)
        | ~ ssItem(X7) )
    | ~ spl0_4 ),
    inference(superposition,[],[f158,f228]) ).

fof(f291,plain,
    ( ~ spl0_1
    | ~ spl0_6 ),
    inference(avatar_contradiction_clause,[],[f290]) ).

fof(f290,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f289,f192]) ).

fof(f289,plain,
    ( ~ ssItem(sk5)
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(resolution,[],[f284,f71]) ).

fof(f71,axiom,
    ! [X0] :
      ( ~ memberP(nil,X0)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause71) ).

fof(f284,plain,
    ( memberP(nil,sk5)
    | ~ spl0_1
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f214,f237]) ).

fof(f237,plain,
    ( nil = sk3
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f235]) ).

fof(f235,plain,
    ( spl0_6
  <=> nil = sk3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f281,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(avatar_contradiction_clause,[],[f280]) ).

fof(f280,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f277,f273]) ).

fof(f273,plain,
    ( ~ memberP(nil,sk5)
    | spl0_1
    | ~ spl0_6 ),
    inference(backward_demodulation,[],[f215,f237]) ).

fof(f277,plain,
    ( memberP(nil,sk5)
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(backward_demodulation,[],[f218,f232]) ).

fof(f232,plain,
    ( nil = sk4
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f231]) ).

fof(f231,plain,
    ( spl0_5
  <=> nil = sk4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f272,plain,
    ( spl0_5
    | spl0_3 ),
    inference(avatar_split_clause,[],[f271,f222,f231]) ).

fof(f222,plain,
    ( spl0_3
  <=> neq(sk4,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f271,plain,
    ( nil = sk4
    | spl0_3 ),
    inference(subsumption_resolution,[],[f267,f8]) ).

fof(f267,plain,
    ( nil = sk4
    | ~ ssList(nil)
    | spl0_3 ),
    inference(subsumption_resolution,[],[f256,f201]) ).

fof(f201,plain,
    ssList(sk4),
    inference(definition_unfolding,[],[f187,f190]) ).

fof(f190,axiom,
    sk2 = sk4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).

fof(f187,axiom,
    ssList(sk2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_2) ).

fof(f256,plain,
    ( ~ ssList(sk4)
    | nil = sk4
    | ~ ssList(nil)
    | spl0_3 ),
    inference(resolution,[],[f224,f100]) ).

fof(f100,axiom,
    ! [X0,X1] :
      ( neq(X1,X0)
      | ~ ssList(X1)
      | X0 = X1
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).

fof(f224,plain,
    ( ~ neq(sk4,nil)
    | spl0_3 ),
    inference(avatar_component_clause,[],[f222]) ).

fof(f254,plain,
    ( spl0_9
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f199,f222,f251]) ).

fof(f199,axiom,
    ( ~ neq(sk4,nil)
    | sk4 = app(sk7,cons(sk6,nil)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_14) ).

fof(f249,plain,
    ( ~ spl0_3
    | spl0_8 ),
    inference(avatar_split_clause,[],[f196,f246,f222]) ).

fof(f196,axiom,
    ( ssItem(sk6)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).

fof(f244,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f203,f217,f213]) ).

fof(f203,plain,
    ( memberP(sk4,sk5)
    | memberP(sk3,sk5) ),
    inference(definition_unfolding,[],[f193,f191,f190]) ).

fof(f191,axiom,
    sk1 = sk3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).

fof(f193,axiom,
    ( memberP(sk1,sk5)
    | memberP(sk2,sk5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).

fof(f243,plain,
    ( ~ spl0_3
    | spl0_7 ),
    inference(avatar_split_clause,[],[f197,f240,f222]) ).

fof(f197,axiom,
    ( ssList(sk7)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).

fof(f238,plain,
    ( ~ spl0_5
    | spl0_6 ),
    inference(avatar_split_clause,[],[f195,f235,f231]) ).

fof(f195,axiom,
    ( nil = sk3
    | nil != sk4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).

fof(f229,plain,
    ( ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f198,f226,f222]) ).

fof(f198,axiom,
    ( sk3 = app(cons(sk6,nil),sk7)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).

fof(f220,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f200,f217,f213]) ).

fof(f200,plain,
    ( ~ memberP(sk4,sk5)
    | ~ memberP(sk3,sk5) ),
    inference(definition_unfolding,[],[f194,f190,f191]) ).

fof(f194,axiom,
    ( ~ memberP(sk2,sk5)
    | ~ memberP(sk1,sk5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : SWC377-1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34  % Computer : n007.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Aug 30 18:36:46 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.50  % (22273)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.19/0.50  % (22265)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.19/0.50  % (22261)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.50  % (22257)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.51  % (22258)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51  % (22261)Instruction limit reached!
% 0.19/0.51  % (22261)------------------------------
% 0.19/0.51  % (22261)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (22276)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 0.19/0.52  % (22261)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (22261)Termination reason: Unknown
% 0.19/0.52  % (22261)Termination phase: Property scanning
% 0.19/0.52  
% 0.19/0.52  % (22261)Memory used [KB]: 1535
% 0.19/0.52  % (22261)Time elapsed: 0.006 s
% 0.19/0.52  % (22261)Instructions burned: 7 (million)
% 0.19/0.52  % (22261)------------------------------
% 0.19/0.52  % (22261)------------------------------
% 0.19/0.52  % (22266)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.52  % (22268)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.23/0.53  % (22278)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 1.23/0.53  % (22274)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.23/0.53  % (22255)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 1.23/0.53  % (22252)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 1.23/0.53  % (22279)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 1.23/0.53  % (22254)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 1.23/0.53  % (22256)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.23/0.53  % (22268)Instruction limit reached!
% 1.23/0.53  % (22268)------------------------------
% 1.23/0.53  % (22268)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.23/0.53  % (22268)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.23/0.53  % (22268)Termination reason: Unknown
% 1.23/0.53  % (22268)Termination phase: Saturation
% 1.23/0.53  
% 1.23/0.53  % (22268)Memory used [KB]: 6012
% 1.23/0.53  % (22268)Time elapsed: 0.011 s
% 1.23/0.53  % (22268)Instructions burned: 8 (million)
% 1.23/0.53  % (22268)------------------------------
% 1.23/0.53  % (22268)------------------------------
% 1.23/0.53  % (22259)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.23/0.53  % (22259)Instruction limit reached!
% 1.23/0.53  % (22259)------------------------------
% 1.23/0.53  % (22259)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.23/0.53  % (22259)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.23/0.53  % (22259)Termination reason: Unknown
% 1.23/0.53  % (22259)Termination phase: Property scanning
% 1.23/0.53  
% 1.23/0.53  % (22259)Memory used [KB]: 1535
% 1.23/0.53  % (22259)Time elapsed: 0.003 s
% 1.23/0.53  % (22259)Instructions burned: 4 (million)
% 1.23/0.53  % (22259)------------------------------
% 1.23/0.53  % (22259)------------------------------
% 1.23/0.54  % (22270)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.23/0.54  % (22280)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.23/0.54  % (22262)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 1.23/0.54  % (22270)Instruction limit reached!
% 1.23/0.54  % (22270)------------------------------
% 1.23/0.54  % (22270)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.23/0.54  % (22270)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.23/0.54  % (22270)Termination reason: Unknown
% 1.23/0.54  % (22270)Termination phase: Saturation
% 1.23/0.54  % (22266)Instruction limit reached!
% 1.23/0.54  % (22266)------------------------------
% 1.23/0.54  % (22266)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.23/0.54  
% 1.23/0.54  % (22266)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.23/0.54  % (22270)Memory used [KB]: 1535
% 1.23/0.54  % (22266)Termination reason: Unknown
% 1.23/0.54  % (22270)Time elapsed: 0.005 s
% 1.23/0.54  % (22266)Termination phase: Finite model building preprocessing
% 1.23/0.54  % (22270)Instructions burned: 7 (million)
% 1.23/0.54  
% 1.23/0.54  % (22270)------------------------------
% 1.23/0.54  % (22270)------------------------------
% 1.23/0.54  % (22266)Memory used [KB]: 1535
% 1.23/0.54  % (22266)Time elapsed: 0.005 s
% 1.23/0.54  % (22266)Instructions burned: 6 (million)
% 1.23/0.54  % (22266)------------------------------
% 1.23/0.54  % (22266)------------------------------
% 1.23/0.54  % (22271)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 1.23/0.54  % (22263)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 1.23/0.54  % (22271)Instruction limit reached!
% 1.23/0.54  % (22271)------------------------------
% 1.23/0.54  % (22271)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.23/0.54  % (22271)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.23/0.54  % (22271)Termination reason: Unknown
% 1.23/0.54  % (22271)Termination phase: Saturation
% 1.23/0.54  
% 1.23/0.54  % (22271)Memory used [KB]: 1535
% 1.23/0.54  % (22271)Time elapsed: 0.004 s
% 1.23/0.54  % (22271)Instructions burned: 7 (million)
% 1.23/0.54  % (22271)------------------------------
% 1.23/0.54  % (22271)------------------------------
% 1.23/0.54  % (22263)Instruction limit reached!
% 1.23/0.54  % (22263)------------------------------
% 1.23/0.54  % (22263)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.23/0.54  % (22263)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.23/0.54  % (22263)Termination reason: Unknown
% 1.23/0.54  % (22263)Termination phase: Saturation
% 1.23/0.54  
% 1.23/0.54  % (22263)Memory used [KB]: 6012
% 1.23/0.54  % (22263)Time elapsed: 0.004 s
% 1.23/0.54  % (22263)Instructions burned: 5 (million)
% 1.23/0.54  % (22263)------------------------------
% 1.23/0.54  % (22263)------------------------------
% 1.23/0.54  % (22269)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 1.23/0.55  % (22272)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 1.23/0.55  % (22264)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.23/0.55  % (22253)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 1.23/0.55  % (22264)Instruction limit reached!
% 1.23/0.55  % (22264)------------------------------
% 1.23/0.55  % (22264)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.23/0.55  % (22264)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.23/0.55  % (22264)Termination reason: Unknown
% 1.23/0.55  % (22264)Termination phase: Property scanning
% 1.23/0.55  
% 1.23/0.55  % (22264)Memory used [KB]: 1407
% 1.23/0.55  % (22264)Time elapsed: 0.002 s
% 1.23/0.55  % (22264)Instructions burned: 3 (million)
% 1.23/0.55  % (22264)------------------------------
% 1.23/0.55  % (22264)------------------------------
% 1.54/0.55  % (22265)Instruction limit reached!
% 1.54/0.55  % (22265)------------------------------
% 1.54/0.55  % (22265)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.55  % (22265)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.55  % (22265)Termination reason: Unknown
% 1.54/0.55  % (22265)Termination phase: Saturation
% 1.54/0.55  
% 1.54/0.55  % (22265)Memory used [KB]: 1791
% 1.54/0.55  % (22265)Time elapsed: 0.084 s
% 1.54/0.55  % (22265)Instructions burned: 29 (million)
% 1.54/0.55  % (22265)------------------------------
% 1.54/0.55  % (22265)------------------------------
% 1.54/0.55  % (22277)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 1.54/0.55  % (22258)First to succeed.
% 1.54/0.55  % (22251)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 1.54/0.55  % (22258)Refutation found. Thanks to Tanya!
% 1.54/0.55  % SZS status Unsatisfiable for theBenchmark
% 1.54/0.55  % SZS output start Proof for theBenchmark
% See solution above
% 1.54/0.55  % (22258)------------------------------
% 1.54/0.55  % (22258)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.55  % (22258)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.55  % (22258)Termination reason: Refutation
% 1.54/0.55  
% 1.54/0.55  % (22258)Memory used [KB]: 6524
% 1.54/0.55  % (22258)Time elapsed: 0.153 s
% 1.54/0.55  % (22258)Instructions burned: 25 (million)
% 1.54/0.55  % (22258)------------------------------
% 1.54/0.55  % (22258)------------------------------
% 1.54/0.55  % (22250)Success in time 0.2 s
%------------------------------------------------------------------------------