TSTP Solution File: SWC072-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWC072-1 : 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 : n006.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 03:59:34 EDT 2024

% Result   : Unsatisfiable 0.59s 0.80s
% Output   : Refutation 0.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   35
% Syntax   : Number of formulae    :  127 (  13 unt;   0 def)
%            Number of atoms       :  473 (  73 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :  658 ( 312   ~; 336   |;   0   &)
%                                         (  10 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   16 (  14 usr;  11 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;   9 con; 0-2 aty)
%            Number of variables   :   62 (  62   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1459,plain,
    $false,
    inference(avatar_sat_refutation,[],[f227,f228,f257,f267,f276,f280,f294,f302,f326,f332,f1453]) ).

fof(f1453,plain,
    ( spl4_2
    | ~ spl4_4
    | ~ spl4_5
    | ~ spl4_6
    | ~ spl4_7
    | ~ spl4_10 ),
    inference(avatar_contradiction_clause,[],[f1452]) ).

fof(f1452,plain,
    ( $false
    | spl4_2
    | ~ spl4_4
    | ~ spl4_5
    | ~ spl4_6
    | ~ spl4_7
    | ~ spl4_10 ),
    inference(subsumption_resolution,[],[f1451,f1180]) ).

fof(f1180,plain,
    ( segmentP(sk3,sF1)
    | ~ spl4_4
    | ~ spl4_5
    | ~ spl4_6
    | ~ spl4_10 ),
    inference(subsumption_resolution,[],[f1179,f260]) ).

fof(f260,plain,
    ( ssList(nil)
    | ~ spl4_10 ),
    inference(avatar_component_clause,[],[f259]) ).

fof(f259,plain,
    ( spl4_10
  <=> ssList(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_10])]) ).

fof(f1179,plain,
    ( segmentP(sk3,sF1)
    | ~ ssList(nil)
    | ~ spl4_4
    | ~ spl4_5
    | ~ spl4_6
    | ~ spl4_10 ),
    inference(subsumption_resolution,[],[f1170,f196]) ).

fof(f196,plain,
    ssList(sk3),
    inference(definition_unfolding,[],[f186,f191]) ).

fof(f191,axiom,
    sk1 = sk3,
    file('/export/starexec/sandbox/tmp/tmp.TSAmvrqyVu/Vampire---4.8_28777',co1_6) ).

fof(f186,axiom,
    ssList(sk1),
    file('/export/starexec/sandbox/tmp/tmp.TSAmvrqyVu/Vampire---4.8_28777',co1_1) ).

fof(f1170,plain,
    ( segmentP(sk3,sF1)
    | ~ ssList(sk3)
    | ~ ssList(nil)
    | ~ spl4_4
    | ~ spl4_5
    | ~ spl4_6
    | ~ spl4_10 ),
    inference(superposition,[],[f1018,f1102]) ).

fof(f1102,plain,
    ( sk3 = app(sk3,nil)
    | ~ spl4_4
    | ~ spl4_5
    | ~ spl4_6
    | ~ spl4_10 ),
    inference(forward_demodulation,[],[f1101,f236]) ).

fof(f236,plain,
    ( sk3 = sF3
    | ~ spl4_4 ),
    inference(avatar_component_clause,[],[f234]) ).

fof(f234,plain,
    ( spl4_4
  <=> sk3 = sF3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).

fof(f1101,plain,
    ( sF3 = app(sk3,nil)
    | ~ spl4_4
    | ~ spl4_5
    | ~ spl4_6
    | ~ spl4_10 ),
    inference(forward_demodulation,[],[f1100,f213]) ).

fof(f213,plain,
    app(sF2,sF1) = sF3,
    introduced(function_definition,[new_symbols(definition,[sF3])]) ).

fof(f1100,plain,
    ( app(sF2,sF1) = app(sk3,nil)
    | ~ spl4_4
    | ~ spl4_5
    | ~ spl4_6
    | ~ spl4_10 ),
    inference(subsumption_resolution,[],[f1099,f243]) ).

fof(f243,plain,
    ( ssList(sF1)
    | ~ spl4_6 ),
    inference(avatar_component_clause,[],[f242]) ).

fof(f242,plain,
    ( spl4_6
  <=> ssList(sF1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_6])]) ).

fof(f1099,plain,
    ( app(sF2,sF1) = app(sk3,nil)
    | ~ ssList(sF1)
    | ~ spl4_4
    | ~ spl4_5
    | ~ spl4_6
    | ~ spl4_10 ),
    inference(subsumption_resolution,[],[f1085,f260]) ).

fof(f1085,plain,
    ( app(sF2,sF1) = app(sk3,nil)
    | ~ ssList(nil)
    | ~ ssList(sF1)
    | ~ spl4_4
    | ~ spl4_5
    | ~ spl4_6 ),
    inference(superposition,[],[f748,f73]) ).

fof(f73,axiom,
    ! [X0] :
      ( app(X0,nil) = X0
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.TSAmvrqyVu/Vampire---4.8_28777',clause73) ).

fof(f748,plain,
    ( ! [X0] :
        ( app(sF2,app(sF1,X0)) = app(sk3,X0)
        | ~ ssList(X0) )
    | ~ spl4_4
    | ~ spl4_5
    | ~ spl4_6 ),
    inference(forward_demodulation,[],[f747,f236]) ).

fof(f747,plain,
    ( ! [X0] :
        ( app(sF2,app(sF1,X0)) = app(sF3,X0)
        | ~ ssList(X0) )
    | ~ spl4_5
    | ~ spl4_6 ),
    inference(subsumption_resolution,[],[f746,f243]) ).

fof(f746,plain,
    ( ! [X0] :
        ( app(sF2,app(sF1,X0)) = app(sF3,X0)
        | ~ ssList(sF1)
        | ~ ssList(X0) )
    | ~ spl4_5 ),
    inference(subsumption_resolution,[],[f717,f239]) ).

fof(f239,plain,
    ( ssList(sF2)
    | ~ spl4_5 ),
    inference(avatar_component_clause,[],[f238]) ).

fof(f238,plain,
    ( spl4_5
  <=> ssList(sF2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_5])]) ).

fof(f717,plain,
    ! [X0] :
      ( app(sF2,app(sF1,X0)) = app(sF3,X0)
      | ~ ssList(sF2)
      | ~ ssList(sF1)
      | ~ ssList(X0) ),
    inference(superposition,[],[f149,f213]) ).

fof(f149,axiom,
    ! [X2,X0,X1] :
      ( app(app(X2,X1),X0) = app(X2,app(X1,X0))
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.TSAmvrqyVu/Vampire---4.8_28777',clause149) ).

fof(f1018,plain,
    ( ! [X0] :
        ( segmentP(app(sk3,X0),sF1)
        | ~ ssList(app(sk3,X0))
        | ~ ssList(X0) )
    | ~ spl4_4
    | ~ spl4_5
    | ~ spl4_6 ),
    inference(forward_demodulation,[],[f1017,f236]) ).

fof(f1017,plain,
    ( ! [X0] :
        ( segmentP(app(sk3,X0),sF1)
        | ~ ssList(app(sF3,X0))
        | ~ ssList(X0) )
    | ~ spl4_4
    | ~ spl4_5
    | ~ spl4_6 ),
    inference(forward_demodulation,[],[f1016,f236]) ).

fof(f1016,plain,
    ( ! [X0] :
        ( segmentP(app(sF3,X0),sF1)
        | ~ ssList(app(sF3,X0))
        | ~ ssList(X0) )
    | ~ spl4_5
    | ~ spl4_6 ),
    inference(subsumption_resolution,[],[f1015,f239]) ).

fof(f1015,plain,
    ( ! [X0] :
        ( segmentP(app(sF3,X0),sF1)
        | ~ ssList(app(sF3,X0))
        | ~ ssList(sF2)
        | ~ ssList(X0) )
    | ~ spl4_6 ),
    inference(subsumption_resolution,[],[f993,f243]) ).

fof(f993,plain,
    ! [X0] :
      ( segmentP(app(sF3,X0),sF1)
      | ~ ssList(app(sF3,X0))
      | ~ ssList(sF1)
      | ~ ssList(sF2)
      | ~ ssList(X0) ),
    inference(superposition,[],[f206,f213]) ).

fof(f206,plain,
    ! [X2,X0,X1] :
      ( segmentP(app(app(X0,X1),X2),X1)
      | ~ ssList(app(app(X0,X1),X2))
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ ssList(X2) ),
    inference(equality_resolution,[],[f173]) ).

fof(f173,axiom,
    ! [X2,X3,X0,X1] :
      ( segmentP(X3,X1)
      | ~ ssList(X3)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ ssList(X2)
      | app(app(X0,X1),X2) != X3 ),
    file('/export/starexec/sandbox/tmp/tmp.TSAmvrqyVu/Vampire---4.8_28777',clause173) ).

fof(f1451,plain,
    ( ~ segmentP(sk3,sF1)
    | spl4_2
    | ~ spl4_5
    | ~ spl4_6
    | ~ spl4_7
    | ~ spl4_10 ),
    inference(subsumption_resolution,[],[f1450,f305]) ).

fof(f305,plain,
    ( nil != sF1
    | ~ spl4_7
    | ~ spl4_10 ),
    inference(subsumption_resolution,[],[f304,f260]) ).

fof(f304,plain,
    ( nil != sF1
    | ~ ssList(nil)
    | ~ spl4_7 ),
    inference(subsumption_resolution,[],[f303,f247]) ).

fof(f247,plain,
    ( ssItem(sF0)
    | ~ spl4_7 ),
    inference(avatar_component_clause,[],[f246]) ).

fof(f246,plain,
    ( spl4_7
  <=> ssItem(sF0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_7])]) ).

fof(f303,plain,
    ( nil != sF1
    | ~ ssItem(sF0)
    | ~ ssList(nil) ),
    inference(superposition,[],[f98,f211]) ).

fof(f211,plain,
    cons(sF0,nil) = sF1,
    introduced(function_definition,[new_symbols(definition,[sF1])]) ).

fof(f98,axiom,
    ! [X0,X1] :
      ( nil != cons(X0,X1)
      | ~ ssItem(X0)
      | ~ ssList(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.TSAmvrqyVu/Vampire---4.8_28777',clause98) ).

fof(f1450,plain,
    ( nil = sF1
    | ~ segmentP(sk3,sF1)
    | spl4_2
    | ~ spl4_5
    | ~ spl4_6
    | ~ spl4_7
    | ~ spl4_10 ),
    inference(subsumption_resolution,[],[f1447,f243]) ).

fof(f1447,plain,
    ( ~ ssList(sF1)
    | nil = sF1
    | ~ segmentP(sk3,sF1)
    | spl4_2
    | ~ spl4_5
    | ~ spl4_6
    | ~ spl4_7
    | ~ spl4_10 ),
    inference(resolution,[],[f1400,f327]) ).

fof(f327,plain,
    ( ! [X0] :
        ( ~ segmentP(sk4,X0)
        | ~ ssList(X0)
        | nil = X0
        | ~ segmentP(sk3,X0) )
    | ~ spl4_10 ),
    inference(subsumption_resolution,[],[f322,f260]) ).

fof(f322,plain,
    ! [X0] :
      ( nil = X0
      | ~ ssList(X0)
      | ~ ssList(nil)
      | ~ segmentP(sk4,X0)
      | ~ segmentP(sk3,X0) ),
    inference(duplicate_literal_removal,[],[f317]) ).

fof(f317,plain,
    ! [X0] :
      ( nil = X0
      | ~ ssList(X0)
      | ~ ssList(nil)
      | ~ segmentP(sk4,X0)
      | ~ segmentP(sk3,X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f100,f198]) ).

fof(f198,plain,
    ! [X6] :
      ( ~ neq(X6,nil)
      | ~ segmentP(sk4,X6)
      | ~ segmentP(sk3,X6)
      | ~ ssList(X6) ),
    inference(definition_unfolding,[],[f192,f191,f190]) ).

fof(f190,axiom,
    sk2 = sk4,
    file('/export/starexec/sandbox/tmp/tmp.TSAmvrqyVu/Vampire---4.8_28777',co1_5) ).

fof(f192,axiom,
    ! [X6] :
      ( ~ segmentP(sk1,X6)
      | ~ segmentP(sk2,X6)
      | ~ neq(X6,nil)
      | ~ ssList(X6) ),
    file('/export/starexec/sandbox/tmp/tmp.TSAmvrqyVu/Vampire---4.8_28777',co1_7) ).

fof(f100,axiom,
    ! [X0,X1] :
      ( neq(X1,X0)
      | X0 = X1
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.TSAmvrqyVu/Vampire---4.8_28777',clause100) ).

fof(f1400,plain,
    ( segmentP(sk4,sF1)
    | spl4_2
    | ~ spl4_5
    | ~ spl4_6
    | ~ spl4_7
    | ~ spl4_10 ),
    inference(subsumption_resolution,[],[f1393,f239]) ).

fof(f1393,plain,
    ( segmentP(sk4,sF1)
    | ~ ssList(sF2)
    | spl4_2
    | ~ spl4_6
    | ~ spl4_7
    | ~ spl4_10 ),
    inference(superposition,[],[f1341,f365]) ).

fof(f365,plain,
    ( sk4 = cons(sF0,sF2)
    | spl4_2 ),
    inference(forward_demodulation,[],[f364,f212]) ).

fof(f212,plain,
    tl(sk4) = sF2,
    introduced(function_definition,[new_symbols(definition,[sF2])]) ).

fof(f364,plain,
    ( sk4 = cons(sF0,tl(sk4))
    | spl4_2 ),
    inference(subsumption_resolution,[],[f363,f197]) ).

fof(f197,plain,
    ssList(sk4),
    inference(definition_unfolding,[],[f187,f190]) ).

fof(f187,axiom,
    ssList(sk2),
    file('/export/starexec/sandbox/tmp/tmp.TSAmvrqyVu/Vampire---4.8_28777',co1_2) ).

fof(f363,plain,
    ( sk4 = cons(sF0,tl(sk4))
    | ~ ssList(sk4)
    | spl4_2 ),
    inference(subsumption_resolution,[],[f354,f226]) ).

fof(f226,plain,
    ( nil != sk4
    | spl4_2 ),
    inference(avatar_component_clause,[],[f224]) ).

fof(f224,plain,
    ( spl4_2
  <=> nil = sk4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).

fof(f354,plain,
    ( sk4 = cons(sF0,tl(sk4))
    | nil = sk4
    | ~ ssList(sk4) ),
    inference(superposition,[],[f104,f210]) ).

fof(f210,plain,
    hd(sk4) = sF0,
    introduced(function_definition,[new_symbols(definition,[sF0])]) ).

fof(f104,axiom,
    ! [X0] :
      ( cons(hd(X0),tl(X0)) = X0
      | nil = X0
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.TSAmvrqyVu/Vampire---4.8_28777',clause104) ).

fof(f1341,plain,
    ( ! [X0] :
        ( segmentP(cons(sF0,X0),sF1)
        | ~ ssList(X0) )
    | ~ spl4_6
    | ~ spl4_7
    | ~ spl4_10 ),
    inference(subsumption_resolution,[],[f1326,f243]) ).

fof(f1326,plain,
    ( ! [X0] :
        ( segmentP(cons(sF0,X0),sF1)
        | ~ ssList(sF1)
        | ~ ssList(X0) )
    | ~ spl4_7
    | ~ spl4_10 ),
    inference(duplicate_literal_removal,[],[f1322]) ).

fof(f1322,plain,
    ( ! [X0] :
        ( segmentP(cons(sF0,X0),sF1)
        | ~ ssList(sF1)
        | ~ ssList(X0)
        | ~ ssList(X0) )
    | ~ spl4_7
    | ~ spl4_10 ),
    inference(superposition,[],[f1010,f433]) ).

fof(f433,plain,
    ( ! [X0] :
        ( cons(sF0,X0) = app(sF1,X0)
        | ~ ssList(X0) )
    | ~ spl4_7 ),
    inference(subsumption_resolution,[],[f426,f247]) ).

fof(f426,plain,
    ! [X0] :
      ( cons(sF0,X0) = app(sF1,X0)
      | ~ ssList(X0)
      | ~ ssItem(sF0) ),
    inference(superposition,[],[f120,f211]) ).

fof(f120,axiom,
    ! [X0,X1] :
      ( cons(X0,X1) = app(cons(X0,nil),X1)
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.TSAmvrqyVu/Vampire---4.8_28777',clause120) ).

fof(f1010,plain,
    ( ! [X0,X1] :
        ( segmentP(app(X0,X1),X0)
        | ~ ssList(X0)
        | ~ ssList(X1) )
    | ~ spl4_10 ),
    inference(subsumption_resolution,[],[f1009,f85]) ).

fof(f85,axiom,
    ! [X0,X1] :
      ( ssList(app(X1,X0))
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.TSAmvrqyVu/Vampire---4.8_28777',clause85) ).

fof(f1009,plain,
    ( ! [X0,X1] :
        ( segmentP(app(X0,X1),X0)
        | ~ ssList(app(X0,X1))
        | ~ ssList(X0)
        | ~ ssList(X1) )
    | ~ spl4_10 ),
    inference(subsumption_resolution,[],[f1004,f260]) ).

fof(f1004,plain,
    ! [X0,X1] :
      ( segmentP(app(X0,X1),X0)
      | ~ ssList(app(X0,X1))
      | ~ ssList(X0)
      | ~ ssList(nil)
      | ~ ssList(X1) ),
    inference(duplicate_literal_removal,[],[f987]) ).

fof(f987,plain,
    ! [X0,X1] :
      ( segmentP(app(X0,X1),X0)
      | ~ ssList(app(X0,X1))
      | ~ ssList(X0)
      | ~ ssList(nil)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(superposition,[],[f206,f74]) ).

fof(f74,axiom,
    ! [X0] :
      ( app(nil,X0) = X0
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.TSAmvrqyVu/Vampire---4.8_28777',clause74) ).

fof(f332,plain,
    ( spl4_2
    | spl4_8
    | ~ spl4_10 ),
    inference(avatar_contradiction_clause,[],[f331]) ).

fof(f331,plain,
    ( $false
    | spl4_2
    | spl4_8
    | ~ spl4_10 ),
    inference(subsumption_resolution,[],[f330,f197]) ).

fof(f330,plain,
    ( ~ ssList(sk4)
    | spl4_2
    | spl4_8
    | ~ spl4_10 ),
    inference(subsumption_resolution,[],[f329,f260]) ).

fof(f329,plain,
    ( ~ ssList(nil)
    | ~ ssList(sk4)
    | spl4_2
    | spl4_8 ),
    inference(subsumption_resolution,[],[f328,f226]) ).

fof(f328,plain,
    ( nil = sk4
    | ~ ssList(nil)
    | ~ ssList(sk4)
    | spl4_8 ),
    inference(resolution,[],[f252,f100]) ).

fof(f252,plain,
    ( ~ neq(nil,sk4)
    | spl4_8 ),
    inference(avatar_component_clause,[],[f250]) ).

fof(f250,plain,
    ( spl4_8
  <=> neq(nil,sk4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_8])]) ).

fof(f326,plain,
    ( spl4_2
    | spl4_9
    | ~ spl4_10 ),
    inference(avatar_contradiction_clause,[],[f325]) ).

fof(f325,plain,
    ( $false
    | spl4_2
    | spl4_9
    | ~ spl4_10 ),
    inference(subsumption_resolution,[],[f324,f260]) ).

fof(f324,plain,
    ( ~ ssList(nil)
    | spl4_2
    | spl4_9 ),
    inference(subsumption_resolution,[],[f323,f197]) ).

fof(f323,plain,
    ( ~ ssList(sk4)
    | ~ ssList(nil)
    | spl4_2
    | spl4_9 ),
    inference(subsumption_resolution,[],[f316,f226]) ).

fof(f316,plain,
    ( nil = sk4
    | ~ ssList(sk4)
    | ~ ssList(nil)
    | spl4_9 ),
    inference(resolution,[],[f100,f256]) ).

fof(f256,plain,
    ( ~ neq(sk4,nil)
    | spl4_9 ),
    inference(avatar_component_clause,[],[f254]) ).

fof(f254,plain,
    ( spl4_9
  <=> neq(sk4,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_9])]) ).

fof(f302,plain,
    ( spl4_6
    | ~ spl4_7
    | ~ spl4_10 ),
    inference(avatar_split_clause,[],[f301,f259,f246,f242]) ).

fof(f301,plain,
    ( ssList(sF1)
    | ~ spl4_7
    | ~ spl4_10 ),
    inference(subsumption_resolution,[],[f300,f247]) ).

fof(f300,plain,
    ( ssList(sF1)
    | ~ ssItem(sF0)
    | ~ spl4_10 ),
    inference(subsumption_resolution,[],[f295,f260]) ).

fof(f295,plain,
    ( ssList(sF1)
    | ~ ssList(nil)
    | ~ ssItem(sF0) ),
    inference(superposition,[],[f86,f211]) ).

fof(f86,axiom,
    ! [X0,X1] :
      ( ssList(cons(X0,X1))
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.TSAmvrqyVu/Vampire---4.8_28777',clause86) ).

fof(f294,plain,
    ( ~ spl4_6
    | spl4_3
    | ~ spl4_5 ),
    inference(avatar_split_clause,[],[f293,f238,f230,f242]) ).

fof(f230,plain,
    ( spl4_3
  <=> ssList(sF3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).

fof(f293,plain,
    ( ssList(sF3)
    | ~ ssList(sF1)
    | ~ spl4_5 ),
    inference(subsumption_resolution,[],[f286,f239]) ).

fof(f286,plain,
    ( ssList(sF3)
    | ~ ssList(sF2)
    | ~ ssList(sF1) ),
    inference(superposition,[],[f85,f213]) ).

fof(f280,plain,
    ( spl4_7
    | spl4_2 ),
    inference(avatar_split_clause,[],[f279,f224,f246]) ).

fof(f279,plain,
    ( ssItem(sF0)
    | spl4_2 ),
    inference(subsumption_resolution,[],[f278,f197]) ).

fof(f278,plain,
    ( ssItem(sF0)
    | ~ ssList(sk4)
    | spl4_2 ),
    inference(subsumption_resolution,[],[f277,f226]) ).

fof(f277,plain,
    ( ssItem(sF0)
    | nil = sk4
    | ~ ssList(sk4) ),
    inference(superposition,[],[f78,f210]) ).

fof(f78,axiom,
    ! [X0] :
      ( ssItem(hd(X0))
      | nil = X0
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.TSAmvrqyVu/Vampire---4.8_28777',clause78) ).

fof(f276,plain,
    ( spl4_5
    | spl4_2 ),
    inference(avatar_split_clause,[],[f275,f224,f238]) ).

fof(f275,plain,
    ( ssList(sF2)
    | spl4_2 ),
    inference(subsumption_resolution,[],[f274,f197]) ).

fof(f274,plain,
    ( ssList(sF2)
    | ~ ssList(sk4)
    | spl4_2 ),
    inference(subsumption_resolution,[],[f273,f226]) ).

fof(f273,plain,
    ( ssList(sF2)
    | nil = sk4
    | ~ ssList(sk4) ),
    inference(superposition,[],[f77,f212]) ).

fof(f77,axiom,
    ! [X0] :
      ( ssList(tl(X0))
      | nil = X0
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.TSAmvrqyVu/Vampire---4.8_28777',clause77) ).

fof(f267,plain,
    spl4_10,
    inference(avatar_split_clause,[],[f8,f259]) ).

fof(f8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox/tmp/tmp.TSAmvrqyVu/Vampire---4.8_28777',clause8) ).

fof(f257,plain,
    ( ~ spl4_3
    | spl4_4
    | ~ spl4_5
    | ~ spl4_6
    | ~ spl4_7
    | ~ spl4_8
    | ~ spl4_9 ),
    inference(avatar_split_clause,[],[f218,f254,f250,f246,f242,f238,f234,f230]) ).

fof(f218,plain,
    ( ~ neq(sk4,nil)
    | ~ neq(nil,sk4)
    | ~ ssItem(sF0)
    | ~ ssList(sF1)
    | ~ ssList(sF2)
    | sk3 = sF3
    | ~ ssList(sF3) ),
    inference(duplicate_literal_removal,[],[f214]) ).

fof(f214,plain,
    ( ~ neq(sk4,nil)
    | ~ neq(nil,sk4)
    | ~ neq(nil,sk4)
    | ~ ssItem(sF0)
    | ~ ssList(sF1)
    | ~ ssList(sF2)
    | sk3 = sF3
    | ~ ssList(sF3) ),
    inference(definition_folding,[],[f203,f213,f211,f210,f212,f213,f211,f210,f212,f212,f211,f210,f210]) ).

fof(f203,plain,
    ( ~ neq(sk4,nil)
    | ~ neq(nil,sk4)
    | ~ neq(nil,sk4)
    | ~ ssItem(hd(sk4))
    | ~ ssList(cons(hd(sk4),nil))
    | ~ ssList(tl(sk4))
    | sk3 = app(tl(sk4),cons(hd(sk4),nil))
    | ~ ssList(app(tl(sk4),cons(hd(sk4),nil))) ),
    inference(equality_resolution,[],[f202]) ).

fof(f202,plain,
    ! [X7] :
      ( ~ neq(sk4,nil)
      | ~ neq(nil,sk4)
      | ~ neq(nil,sk4)
      | ~ ssItem(hd(sk4))
      | tl(sk4) != X7
      | ~ ssList(cons(hd(sk4),nil))
      | ~ ssList(X7)
      | sk3 = app(X7,cons(hd(sk4),nil))
      | ~ ssList(app(X7,cons(hd(sk4),nil))) ),
    inference(equality_resolution,[],[f201]) ).

fof(f201,plain,
    ! [X6,X7] :
      ( ~ neq(sk4,nil)
      | ~ neq(nil,sk4)
      | ~ neq(nil,sk4)
      | ~ ssItem(hd(sk4))
      | app(X7,cons(hd(sk4),nil)) != X6
      | tl(sk4) != X7
      | ~ ssList(cons(hd(sk4),nil))
      | ~ ssList(X7)
      | sk3 = X6
      | ~ ssList(X6) ),
    inference(equality_resolution,[],[f200]) ).

fof(f200,plain,
    ! [X8,X6,X7] :
      ( ~ neq(sk4,nil)
      | ~ neq(nil,sk4)
      | ~ neq(nil,sk4)
      | cons(hd(sk4),nil) != X8
      | ~ ssItem(hd(sk4))
      | app(X7,X8) != X6
      | tl(sk4) != X7
      | ~ ssList(X8)
      | ~ ssList(X7)
      | sk3 = X6
      | ~ ssList(X6) ),
    inference(equality_resolution,[],[f195]) ).

fof(f195,axiom,
    ! [X8,X6,X9,X7] :
      ( ~ neq(sk4,nil)
      | ~ neq(nil,sk4)
      | ~ neq(nil,sk4)
      | hd(sk4) != X9
      | cons(X9,nil) != X8
      | ~ ssItem(X9)
      | app(X7,X8) != X6
      | tl(sk4) != X7
      | ~ ssList(X8)
      | ~ ssList(X7)
      | sk3 = X6
      | ~ ssList(X6) ),
    file('/export/starexec/sandbox/tmp/tmp.TSAmvrqyVu/Vampire---4.8_28777',co1_10) ).

fof(f228,plain,
    ( ~ spl4_2
    | ~ spl4_1 ),
    inference(avatar_split_clause,[],[f199,f220,f224]) ).

fof(f220,plain,
    ( spl4_1
  <=> nil = sk3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).

fof(f199,plain,
    ( nil != sk3
    | nil != sk4 ),
    inference(definition_unfolding,[],[f194,f191,f190]) ).

fof(f194,axiom,
    ( nil != sk1
    | nil != sk2 ),
    file('/export/starexec/sandbox/tmp/tmp.TSAmvrqyVu/Vampire---4.8_28777',co1_9) ).

fof(f227,plain,
    ( spl4_1
    | ~ spl4_2 ),
    inference(avatar_split_clause,[],[f193,f224,f220]) ).

fof(f193,axiom,
    ( nil != sk4
    | nil = sk3 ),
    file('/export/starexec/sandbox/tmp/tmp.TSAmvrqyVu/Vampire---4.8_28777',co1_8) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : SWC072-1 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.14  % 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
% 0.15/0.35  % Computer : n006.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Tue Apr 30 18:15:05 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.15/0.35  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.15/0.35  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.TSAmvrqyVu/Vampire---4.8_28777
% 0.55/0.75  % (29040)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)
% 0.55/0.75  % (29034)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)
% 0.55/0.75  % (29036)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.75  % (29037)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)
% 0.55/0.75  % (29038)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)
% 0.55/0.75  % (29035)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)
% 0.55/0.75  % (29039)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)
% 0.55/0.76  % (29041)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)
% 0.59/0.77  % (29037)Instruction limit reached!
% 0.59/0.77  % (29037)------------------------------
% 0.59/0.77  % (29037)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.77  % (29037)Termination reason: Unknown
% 0.59/0.77  % (29037)Termination phase: Saturation
% 0.59/0.77  
% 0.59/0.77  % (29037)Memory used [KB]: 1620
% 0.59/0.77  % (29037)Time elapsed: 0.021 s
% 0.59/0.77  % (29037)Instructions burned: 34 (million)
% 0.59/0.77  % (29037)------------------------------
% 0.59/0.77  % (29037)------------------------------
% 0.59/0.77  % (29034)Instruction limit reached!
% 0.59/0.77  % (29034)------------------------------
% 0.59/0.77  % (29034)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.77  % (29034)Termination reason: Unknown
% 0.59/0.77  % (29034)Termination phase: Saturation
% 0.59/0.77  
% 0.59/0.77  % (29034)Memory used [KB]: 1478
% 0.59/0.77  % (29034)Time elapsed: 0.022 s
% 0.59/0.77  % (29034)Instructions burned: 34 (million)
% 0.59/0.77  % (29034)------------------------------
% 0.59/0.77  % (29034)------------------------------
% 0.59/0.77  % (29040)Instruction limit reached!
% 0.59/0.77  % (29040)------------------------------
% 0.59/0.77  % (29040)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.77  % (29040)Termination reason: Unknown
% 0.59/0.77  % (29040)Termination phase: Saturation
% 0.59/0.77  
% 0.59/0.77  % (29040)Memory used [KB]: 2012
% 0.59/0.77  % (29040)Time elapsed: 0.025 s
% 0.59/0.77  % (29040)Instructions burned: 85 (million)
% 0.59/0.77  % (29040)------------------------------
% 0.59/0.77  % (29040)------------------------------
% 0.59/0.77  % (29042)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 (2995ds/55Mi)
% 0.59/0.77  % (29043)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2995ds/50Mi)
% 0.59/0.78  % (29044)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/208Mi)
% 0.59/0.78  % (29039)Instruction limit reached!
% 0.59/0.78  % (29039)------------------------------
% 0.59/0.78  % (29039)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.78  % (29039)Termination reason: Unknown
% 0.59/0.78  % (29039)Termination phase: Saturation
% 0.59/0.78  
% 0.59/0.78  % (29039)Memory used [KB]: 1611
% 0.59/0.78  % (29039)Time elapsed: 0.027 s
% 0.59/0.78  % (29039)Instructions burned: 45 (million)
% 0.59/0.78  % (29039)------------------------------
% 0.59/0.78  % (29039)------------------------------
% 0.59/0.78  % (29038)Instruction limit reached!
% 0.59/0.78  % (29038)------------------------------
% 0.59/0.78  % (29038)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.78  % (29038)Termination reason: Unknown
% 0.59/0.78  % (29038)Termination phase: Saturation
% 0.59/0.78  
% 0.59/0.78  % (29038)Memory used [KB]: 1729
% 0.59/0.78  % (29038)Time elapsed: 0.044 s
% 0.59/0.78  % (29038)Instructions burned: 34 (million)
% 0.59/0.78  % (29038)------------------------------
% 0.59/0.78  % (29038)------------------------------
% 0.59/0.78  % (29045)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2995ds/52Mi)
% 0.59/0.78  % (29046)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2995ds/518Mi)
% 0.59/0.78  % (29035)Instruction limit reached!
% 0.59/0.78  % (29035)------------------------------
% 0.59/0.78  % (29035)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.78  % (29035)Termination reason: Unknown
% 0.59/0.78  % (29035)Termination phase: Saturation
% 0.59/0.78  
% 0.59/0.78  % (29035)Memory used [KB]: 1970
% 0.59/0.78  % (29035)Time elapsed: 0.035 s
% 0.59/0.78  % (29035)Instructions burned: 52 (million)
% 0.59/0.78  % (29035)------------------------------
% 0.59/0.78  % (29035)------------------------------
% 0.59/0.79  % (29047)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2995ds/42Mi)
% 0.59/0.79  % (29041)Instruction limit reached!
% 0.59/0.79  % (29041)------------------------------
% 0.59/0.79  % (29041)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.79  % (29041)Termination reason: Unknown
% 0.59/0.79  % (29041)Termination phase: Saturation
% 0.59/0.79  
% 0.59/0.79  % (29041)Memory used [KB]: 1630
% 0.59/0.79  % (29041)Time elapsed: 0.049 s
% 0.59/0.79  % (29041)Instructions burned: 56 (million)
% 0.59/0.79  % (29041)------------------------------
% 0.59/0.79  % (29041)------------------------------
% 0.59/0.79  % (29044)First to succeed.
% 0.59/0.79  % (29048)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2995ds/243Mi)
% 0.59/0.80  % (29044)Refutation found. Thanks to Tanya!
% 0.59/0.80  % SZS status Unsatisfiable for Vampire---4
% 0.59/0.80  % SZS output start Proof for Vampire---4
% See solution above
% 0.59/0.80  % (29044)------------------------------
% 0.59/0.80  % (29044)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.80  % (29044)Termination reason: Refutation
% 0.59/0.80  
% 0.59/0.80  % (29044)Memory used [KB]: 1555
% 0.59/0.80  % (29044)Time elapsed: 0.019 s
% 0.59/0.80  % (29044)Instructions burned: 56 (million)
% 0.59/0.80  % (29044)------------------------------
% 0.59/0.80  % (29044)------------------------------
% 0.59/0.80  % (29030)Success in time 0.441 s
% 0.59/0.80  % Vampire---4.8 exiting
%------------------------------------------------------------------------------