TSTP Solution File: SWC314-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWC314-1 : 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 : n019.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 18:40:21 EDT 2022

% Result   : Unsatisfiable 1.50s 0.59s
% Output   : Refutation 1.50s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   37
% Syntax   : Number of formulae    :  110 (   7 unt;   0 def)
%            Number of atoms       :  372 (  79 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :  501 ( 239   ~; 249   |;   0   &)
%                                         (  13 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   18 (  16 usr;  14 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   7 con; 0-2 aty)
%            Number of variables   :   28 (  28   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f794,plain,
    $false,
    inference(avatar_sat_refutation,[],[f222,f231,f237,f244,f277,f282,f283,f284,f285,f286,f521,f527,f582,f606,f607,f611,f786,f788]) ).

fof(f788,plain,
    ( spl0_6
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f722,f219,f241]) ).

fof(f241,plain,
    ( spl0_6
  <=> nil = sk4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f219,plain,
    ( spl0_2
  <=> nil = sk2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f722,plain,
    ( nil = sk4
    | ~ spl0_2 ),
    inference(backward_demodulation,[],[f190,f221]) ).

fof(f221,plain,
    ( nil = sk2
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f219]) ).

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

fof(f786,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f785]) ).

fof(f785,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f784,f478]) ).

fof(f478,plain,
    ( nil != cons(sk5,sk6)
    | ~ spl0_1
    | ~ spl0_13 ),
    inference(unit_resulting_resolution,[],[f217,f281,f98]) ).

fof(f98,axiom,
    ! [X0,X1] :
      ( nil != cons(X0,X1)
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).

fof(f281,plain,
    ( ssItem(sk5)
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f279]) ).

fof(f279,plain,
    ( spl0_13
  <=> ssItem(sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f217,plain,
    ( ssList(sk6)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f215]) ).

fof(f215,plain,
    ( spl0_1
  <=> ssList(sk6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f784,plain,
    ( nil = cons(sk5,sk6)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f783,f381]) ).

fof(f381,plain,
    ( sk6 = app(sk6,nil)
    | ~ spl0_1 ),
    inference(unit_resulting_resolution,[],[f217,f73]) ).

fof(f73,axiom,
    ! [X0] :
      ( ~ ssList(X0)
      | app(X0,nil) = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).

fof(f783,plain,
    ( nil = cons(sk5,app(sk6,nil))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f756,f616]) ).

fof(f616,plain,
    ( nil = app(nil,nil)
    | ~ spl0_4 ),
    inference(backward_demodulation,[],[f292,f229]) ).

fof(f229,plain,
    ( nil = sk1
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f228]) ).

fof(f228,plain,
    ( spl0_4
  <=> nil = sk1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f292,plain,
    sk1 = app(sk1,nil),
    inference(unit_resulting_resolution,[],[f186,f73]) ).

fof(f186,axiom,
    ssList(sk1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_1) ).

fof(f756,plain,
    ( cons(sk5,app(sk6,nil)) = app(nil,nil)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_13 ),
    inference(backward_demodulation,[],[f516,f221]) ).

fof(f516,plain,
    ( cons(sk5,app(sk6,sk2)) = app(sk2,sk2)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f501,f505]) ).

fof(f505,plain,
    ( sk2 = cons(sk5,sk6)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f486,f226]) ).

fof(f226,plain,
    ( sk2 = app(cons(sk5,nil),sk6)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f224]) ).

fof(f224,plain,
    ( spl0_3
  <=> sk2 = app(cons(sk5,nil),sk6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f486,plain,
    ( app(cons(sk5,nil),sk6) = cons(sk5,sk6)
    | ~ spl0_1
    | ~ spl0_13 ),
    inference(unit_resulting_resolution,[],[f217,f281,f120]) ).

fof(f120,axiom,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | ~ ssList(X1)
      | cons(X0,X1) = app(cons(X0,nil),X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).

fof(f501,plain,
    ( app(cons(sk5,sk6),sk2) = cons(sk5,app(sk6,sk2))
    | ~ spl0_1
    | ~ spl0_13 ),
    inference(unit_resulting_resolution,[],[f187,f217,f281,f157]) ).

fof(f157,axiom,
    ! [X2,X0,X1] :
      ( ~ ssItem(X0)
      | ~ ssList(X1)
      | cons(X0,app(X1,X2)) = app(cons(X0,X1),X2)
      | ~ ssList(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause157) ).

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

fof(f611,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | spl0_5
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f610]) ).

fof(f610,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | spl0_5
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f609,f236]) ).

fof(f236,plain,
    ( sk1 != app(sk6,cons(sk5,nil))
    | spl0_5 ),
    inference(avatar_component_clause,[],[f234]) ).

fof(f234,plain,
    ( spl0_5
  <=> sk1 = app(sk6,cons(sk5,nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f609,plain,
    ( sk1 = app(sk6,cons(sk5,nil))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f608,f514]) ).

fof(f514,plain,
    ( sk6 = tl(sk2)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f470,f505]) ).

fof(f470,plain,
    ( sk6 = tl(cons(sk5,sk6))
    | ~ spl0_1
    | ~ spl0_13 ),
    inference(unit_resulting_resolution,[],[f217,f281,f96]) ).

fof(f96,axiom,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | tl(cons(X0,X1)) = X1
      | ~ ssList(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).

fof(f608,plain,
    ( sk1 = app(tl(sk2),cons(sk5,nil))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f272,f518]) ).

fof(f518,plain,
    ( sk5 = hd(sk2)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f474,f505]) ).

fof(f474,plain,
    ( sk5 = hd(cons(sk5,sk6))
    | ~ spl0_1
    | ~ spl0_13 ),
    inference(unit_resulting_resolution,[],[f217,f281,f97]) ).

fof(f97,axiom,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | hd(cons(X0,X1)) = X0
      | ~ ssList(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause97) ).

fof(f272,plain,
    ( sk1 = app(tl(sk2),cons(hd(sk2),nil))
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f270]) ).

fof(f270,plain,
    ( spl0_11
  <=> sk1 = app(tl(sk2),cons(hd(sk2),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f607,plain,
    ( spl0_12
    | spl0_2 ),
    inference(avatar_split_clause,[],[f560,f219,f274]) ).

fof(f274,plain,
    ( spl0_12
  <=> neq(nil,sk2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f560,plain,
    ( neq(nil,sk2)
    | spl0_2 ),
    inference(unit_resulting_resolution,[],[f8,f187,f220,f100]) ).

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

fof(f220,plain,
    ( nil != sk2
    | spl0_2 ),
    inference(avatar_component_clause,[],[f219]) ).

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

fof(f606,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | spl0_8
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f605]) ).

fof(f605,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | spl0_8
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f604,f217]) ).

fof(f604,plain,
    ( ~ ssList(sk6)
    | ~ spl0_1
    | ~ spl0_3
    | spl0_8
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f260,f514]) ).

fof(f260,plain,
    ( ~ ssList(tl(sk2))
    | spl0_8 ),
    inference(avatar_component_clause,[],[f258]) ).

fof(f258,plain,
    ( spl0_8
  <=> ssList(tl(sk2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f582,plain,
    ( spl0_9
    | spl0_2 ),
    inference(avatar_split_clause,[],[f550,f219,f262]) ).

fof(f262,plain,
    ( spl0_9
  <=> neq(sk2,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f550,plain,
    ( neq(sk2,nil)
    | spl0_2 ),
    inference(unit_resulting_resolution,[],[f187,f8,f220,f100]) ).

fof(f527,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | spl0_7
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f526]) ).

fof(f526,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | spl0_7
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f525,f463]) ).

fof(f463,plain,
    ( ssList(cons(sk5,nil))
    | ~ spl0_13 ),
    inference(unit_resulting_resolution,[],[f8,f281,f86]) ).

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

fof(f525,plain,
    ( ~ ssList(cons(sk5,nil))
    | ~ spl0_1
    | ~ spl0_3
    | spl0_7
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f256,f518]) ).

fof(f256,plain,
    ( ~ ssList(cons(hd(sk2),nil))
    | spl0_7 ),
    inference(avatar_component_clause,[],[f254]) ).

fof(f254,plain,
    ( spl0_7
  <=> ssList(cons(hd(sk2),nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f521,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | spl0_10
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f520]) ).

fof(f520,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | spl0_10
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f519,f281]) ).

fof(f519,plain,
    ( ~ ssItem(sk5)
    | ~ spl0_1
    | ~ spl0_3
    | spl0_10
    | ~ spl0_13 ),
    inference(backward_demodulation,[],[f268,f518]) ).

fof(f268,plain,
    ( ~ ssItem(hd(sk2))
    | spl0_10 ),
    inference(avatar_component_clause,[],[f266]) ).

fof(f266,plain,
    ( spl0_10
  <=> ssItem(hd(sk2)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f286,plain,
    ( spl0_2
    | spl0_13 ),
    inference(avatar_split_clause,[],[f194,f279,f219]) ).

fof(f194,axiom,
    ( ssItem(sk5)
    | nil = sk2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).

fof(f285,plain,
    ( spl0_3
    | spl0_2 ),
    inference(avatar_split_clause,[],[f197,f219,f224]) ).

fof(f197,axiom,
    ( nil = sk2
    | sk2 = app(cons(sk5,nil),sk6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).

fof(f284,plain,
    ( ~ spl0_5
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f201,f228,f234]) ).

fof(f201,axiom,
    ( nil != sk1
    | sk1 != app(sk6,cons(sk5,nil)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_16) ).

fof(f283,plain,
    ( ~ spl0_4
    | spl0_1 ),
    inference(avatar_split_clause,[],[f199,f215,f228]) ).

fof(f199,axiom,
    ( ssList(sk6)
    | nil != sk1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).

fof(f282,plain,
    ( spl0_13
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f195,f228,f279]) ).

fof(f195,axiom,
    ( nil != sk1
    | ssItem(sk5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).

fof(f277,plain,
    ( ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f252,f274,f270,f266,f262,f258,f254]) ).

fof(f252,plain,
    ( ~ neq(nil,sk2)
    | sk1 = app(tl(sk2),cons(hd(sk2),nil))
    | ~ ssItem(hd(sk2))
    | ~ neq(sk2,nil)
    | ~ ssList(tl(sk2))
    | ~ ssList(cons(hd(sk2),nil)) ),
    inference(forward_demodulation,[],[f251,f191]) ).

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

fof(f251,plain,
    ( ~ ssList(tl(sk2))
    | sk3 = app(tl(sk2),cons(hd(sk2),nil))
    | ~ neq(nil,sk2)
    | ~ neq(sk2,nil)
    | ~ ssList(cons(hd(sk2),nil))
    | ~ ssItem(hd(sk2)) ),
    inference(forward_demodulation,[],[f250,f190]) ).

fof(f250,plain,
    ( ~ ssList(cons(hd(sk4),nil))
    | ~ neq(sk2,nil)
    | ~ neq(nil,sk2)
    | ~ ssList(tl(sk2))
    | sk3 = app(tl(sk2),cons(hd(sk2),nil))
    | ~ ssItem(hd(sk2)) ),
    inference(forward_demodulation,[],[f249,f190]) ).

fof(f249,plain,
    ( ~ neq(nil,sk4)
    | ~ ssList(tl(sk2))
    | ~ ssList(cons(hd(sk4),nil))
    | sk3 = app(tl(sk2),cons(hd(sk2),nil))
    | ~ neq(sk2,nil)
    | ~ ssItem(hd(sk2)) ),
    inference(forward_demodulation,[],[f248,f190]) ).

fof(f248,plain,
    ( ~ neq(sk4,nil)
    | ~ ssItem(hd(sk2))
    | ~ ssList(cons(hd(sk4),nil))
    | ~ neq(nil,sk4)
    | sk3 = app(tl(sk2),cons(hd(sk2),nil))
    | ~ ssList(tl(sk2)) ),
    inference(forward_demodulation,[],[f247,f190]) ).

fof(f247,plain,
    ( sk3 = app(tl(sk4),cons(hd(sk4),nil))
    | ~ neq(nil,sk4)
    | ~ neq(sk4,nil)
    | ~ ssItem(hd(sk2))
    | ~ ssList(cons(hd(sk4),nil))
    | ~ ssList(tl(sk2)) ),
    inference(forward_demodulation,[],[f246,f190]) ).

fof(f246,plain,
    ( ~ ssItem(hd(sk4))
    | ~ ssList(tl(sk2))
    | ~ ssList(cons(hd(sk4),nil))
    | sk3 = app(tl(sk4),cons(hd(sk4),nil))
    | ~ neq(sk4,nil)
    | ~ neq(nil,sk4) ),
    inference(forward_demodulation,[],[f245,f190]) ).

fof(f245,plain,
    ( ~ ssList(tl(sk4))
    | ~ ssList(cons(hd(sk4),nil))
    | ~ neq(sk4,nil)
    | ~ ssItem(hd(sk4))
    | ~ neq(nil,sk4)
    | sk3 = app(tl(sk4),cons(hd(sk4),nil)) ),
    inference(subsumption_resolution,[],[f213,f85]) ).

fof(f85,axiom,
    ! [X0,X1] :
      ( ssList(app(X1,X0))
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).

fof(f213,plain,
    ( ~ ssList(tl(sk4))
    | ~ ssItem(hd(sk4))
    | ~ ssList(app(tl(sk4),cons(hd(sk4),nil)))
    | sk3 = app(tl(sk4),cons(hd(sk4),nil))
    | ~ neq(sk4,nil)
    | ~ neq(nil,sk4)
    | ~ ssList(cons(hd(sk4),nil)) ),
    inference(duplicate_literal_removal,[],[f208]) ).

fof(f208,plain,
    ( ~ neq(nil,sk4)
    | ~ ssList(tl(sk4))
    | ~ ssList(cons(hd(sk4),nil))
    | ~ ssList(app(tl(sk4),cons(hd(sk4),nil)))
    | ~ ssItem(hd(sk4))
    | sk3 = app(tl(sk4),cons(hd(sk4),nil))
    | ~ neq(nil,sk4)
    | ~ neq(sk4,nil) ),
    inference(equality_resolution,[],[f207]) ).

fof(f207,plain,
    ! [X7] :
      ( sk3 = app(X7,cons(hd(sk4),nil))
      | ~ neq(nil,sk4)
      | ~ ssList(X7)
      | ~ ssList(cons(hd(sk4),nil))
      | ~ ssList(app(X7,cons(hd(sk4),nil)))
      | ~ neq(nil,sk4)
      | tl(sk4) != X7
      | ~ neq(sk4,nil)
      | ~ ssItem(hd(sk4)) ),
    inference(equality_resolution,[],[f206]) ).

fof(f206,plain,
    ! [X9,X7] :
      ( sk3 = app(X7,cons(X9,nil))
      | hd(sk4) != X9
      | ~ neq(nil,sk4)
      | ~ ssList(X7)
      | ~ ssList(cons(X9,nil))
      | ~ ssList(app(X7,cons(X9,nil)))
      | ~ neq(nil,sk4)
      | tl(sk4) != X7
      | ~ neq(sk4,nil)
      | ~ ssItem(X9) ),
    inference(equality_resolution,[],[f205]) ).

fof(f205,plain,
    ! [X6,X9,X7] :
      ( sk3 = X6
      | app(X7,cons(X9,nil)) != X6
      | hd(sk4) != X9
      | ~ neq(nil,sk4)
      | ~ ssList(X7)
      | ~ ssList(cons(X9,nil))
      | ~ ssList(X6)
      | ~ neq(nil,sk4)
      | tl(sk4) != X7
      | ~ neq(sk4,nil)
      | ~ ssItem(X9) ),
    inference(equality_resolution,[],[f193]) ).

fof(f193,axiom,
    ! [X8,X6,X9,X7] :
      ( sk3 = X6
      | cons(X9,nil) != X8
      | app(X7,X8) != X6
      | hd(sk4) != X9
      | ~ neq(nil,sk4)
      | ~ ssList(X7)
      | ~ ssList(X8)
      | ~ ssList(X6)
      | ~ neq(nil,sk4)
      | tl(sk4) != X7
      | ~ neq(sk4,nil)
      | ~ ssItem(X9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

fof(f244,plain,
    ( spl0_4
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f239,f241,f228]) ).

fof(f239,plain,
    ( nil != sk4
    | nil = sk1 ),
    inference(forward_demodulation,[],[f192,f191]) ).

fof(f192,axiom,
    ( nil = sk3
    | nil != sk4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

fof(f237,plain,
    ( ~ spl0_5
    | spl0_2 ),
    inference(avatar_split_clause,[],[f198,f219,f234]) ).

fof(f198,axiom,
    ( nil = sk2
    | sk1 != app(sk6,cons(sk5,nil)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).

fof(f231,plain,
    ( spl0_3
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f200,f228,f224]) ).

fof(f200,axiom,
    ( nil != sk1
    | sk2 = app(cons(sk5,nil),sk6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).

fof(f222,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f196,f219,f215]) ).

fof(f196,axiom,
    ( nil = sk2
    | ssList(sk6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SWC314-1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n019.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   : Tue Aug 30 18:48:35 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.45  % (11086)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.20/0.47  % (11110)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.20/0.48  % (11094)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)
% 0.20/0.50  % (11094)Instruction limit reached!
% 0.20/0.50  % (11094)------------------------------
% 0.20/0.50  % (11094)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50  % (11094)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50  % (11094)Termination reason: Unknown
% 0.20/0.50  % (11094)Termination phase: Property scanning
% 0.20/0.50  
% 0.20/0.50  % (11094)Memory used [KB]: 1535
% 0.20/0.50  % (11094)Time elapsed: 0.008 s
% 0.20/0.50  % (11094)Instructions burned: 3 (million)
% 0.20/0.50  % (11094)------------------------------
% 0.20/0.50  % (11094)------------------------------
% 0.20/0.53  % (11089)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)
% 0.20/0.54  % (11097)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)
% 0.20/0.55  % (11090)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)
% 0.20/0.55  % (11102)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.56  % (11110)Instruction limit reached!
% 0.20/0.56  % (11110)------------------------------
% 0.20/0.56  % (11110)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56  % (11110)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56  % (11110)Termination reason: Unknown
% 0.20/0.56  % (11110)Termination phase: Saturation
% 0.20/0.56  
% 0.20/0.56  % (11110)Memory used [KB]: 6780
% 0.20/0.56  % (11110)Time elapsed: 0.173 s
% 0.20/0.56  % (11110)Instructions burned: 46 (million)
% 0.20/0.56  % (11110)------------------------------
% 0.20/0.56  % (11110)------------------------------
% 0.20/0.56  % (11105)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)
% 1.50/0.57  % (11099)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)
% 1.50/0.57  % (11100)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)
% 1.50/0.57  % (11097)Instruction limit reached!
% 1.50/0.57  % (11097)------------------------------
% 1.50/0.57  % (11097)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.57  % (11097)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.57  % (11097)Termination reason: Unknown
% 1.50/0.57  % (11097)Termination phase: Saturation
% 1.50/0.57  
% 1.50/0.57  % (11097)Memory used [KB]: 6268
% 1.50/0.57  % (11097)Time elapsed: 0.153 s
% 1.50/0.57  % (11097)Instructions burned: 23 (million)
% 1.50/0.57  % (11097)------------------------------
% 1.50/0.57  % (11097)------------------------------
% 1.50/0.57  % (11098)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)
% 1.50/0.57  % (11099)Instruction limit reached!
% 1.50/0.57  % (11099)------------------------------
% 1.50/0.57  % (11099)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.57  % (11099)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.57  % (11099)Termination reason: Unknown
% 1.50/0.57  % (11099)Termination phase: Function definition elimination
% 1.50/0.57  
% 1.50/0.57  % (11099)Memory used [KB]: 1535
% 1.50/0.57  % (11099)Time elapsed: 0.004 s
% 1.50/0.57  % (11099)Instructions burned: 4 (million)
% 1.50/0.57  % (11099)------------------------------
% 1.50/0.57  % (11099)------------------------------
% 1.50/0.57  % (11102)Instruction limit reached!
% 1.50/0.57  % (11102)------------------------------
% 1.50/0.57  % (11102)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.57  % (11102)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.57  % (11102)Termination reason: Unknown
% 1.50/0.57  % (11102)Termination phase: shuffling
% 1.50/0.57  
% 1.50/0.57  % (11102)Memory used [KB]: 1407
% 1.50/0.57  % (11102)Time elapsed: 0.002 s
% 1.50/0.57  % (11102)Instructions burned: 2 (million)
% 1.50/0.57  % (11102)------------------------------
% 1.50/0.57  % (11102)------------------------------
% 1.50/0.57  % (11108)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)
% 1.50/0.58  % (11092)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)
% 1.50/0.58  % (11105)Instruction limit reached!
% 1.50/0.58  % (11105)------------------------------
% 1.50/0.58  % (11105)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.59  % (11093)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)
% 1.50/0.59  % (11105)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.59  % (11105)Termination reason: Unknown
% 1.50/0.59  % (11105)Termination phase: Saturation
% 1.50/0.59  
% 1.50/0.59  % (11105)Memory used [KB]: 1535
% 1.50/0.59  % (11105)Time elapsed: 0.008 s
% 1.50/0.59  % (11105)Instructions burned: 7 (million)
% 1.50/0.59  % (11105)------------------------------
% 1.50/0.59  % (11105)------------------------------
% 1.50/0.59  % (11109)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)
% 1.50/0.59  % (11090)First to succeed.
% 1.50/0.59  % (11090)Refutation found. Thanks to Tanya!
% 1.50/0.59  % SZS status Unsatisfiable for theBenchmark
% 1.50/0.59  % SZS output start Proof for theBenchmark
% See solution above
% 1.50/0.59  % (11090)------------------------------
% 1.50/0.59  % (11090)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.59  % (11090)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.59  % (11090)Termination reason: Refutation
% 1.50/0.59  
% 1.50/0.59  % (11090)Memory used [KB]: 6396
% 1.50/0.59  % (11090)Time elapsed: 0.162 s
% 1.50/0.59  % (11090)Instructions burned: 24 (million)
% 1.50/0.59  % (11090)------------------------------
% 1.50/0.59  % (11090)------------------------------
% 1.50/0.59  % (11085)Success in time 0.236 s
%------------------------------------------------------------------------------