TSTP Solution File: SWC087-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWC087-1 : 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 : n015.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 03:59:41 EDT 2024

% Result   : Unsatisfiable 0.68s 0.78s
% Output   : Refutation 0.68s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   36
% Syntax   : Number of formulae    :  135 (  15 unt;   0 def)
%            Number of atoms       :  489 (  68 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :  678 ( 324   ~; 344   |;   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   :   65 (  65   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1485,plain,
    $false,
    inference(avatar_sat_refutation,[],[f257,f267,f283,f290,f298,f305,f309,f331,f334,f359,f1479]) ).

fof(f1479,plain,
    ( ~ spl4_2
    | ~ spl4_3
    | ~ spl4_4
    | ~ spl4_5
    | ~ spl4_7
    | spl4_12 ),
    inference(avatar_contradiction_clause,[],[f1478]) ).

fof(f1478,plain,
    ( $false
    | ~ spl4_2
    | ~ spl4_3
    | ~ spl4_4
    | ~ spl4_5
    | ~ spl4_7
    | spl4_12 ),
    inference(subsumption_resolution,[],[f1477,f1226]) ).

fof(f1226,plain,
    ( segmentP(sk3,sF1)
    | ~ spl4_2
    | ~ spl4_3
    | ~ spl4_4
    | ~ spl4_7 ),
    inference(subsumption_resolution,[],[f1225,f260]) ).

fof(f260,plain,
    ( ssList(nil)
    | ~ spl4_7 ),
    inference(avatar_component_clause,[],[f259]) ).

fof(f259,plain,
    ( spl4_7
  <=> ssList(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_7])]) ).

fof(f1225,plain,
    ( segmentP(sk3,sF1)
    | ~ ssList(nil)
    | ~ spl4_2
    | ~ spl4_3
    | ~ spl4_4
    | ~ spl4_7 ),
    inference(subsumption_resolution,[],[f1218,f198]) ).

fof(f198,plain,
    ssList(sk3),
    inference(definition_unfolding,[],[f186,f191]) ).

fof(f191,axiom,
    sk1 = sk3,
    file('/export/starexec/sandbox/tmp/tmp.RgRtQNmrEn/Vampire---4.8_14091',co1_6) ).

fof(f186,axiom,
    ssList(sk1),
    file('/export/starexec/sandbox/tmp/tmp.RgRtQNmrEn/Vampire---4.8_14091',co1_1) ).

fof(f1218,plain,
    ( segmentP(sk3,sF1)
    | ~ ssList(sk3)
    | ~ ssList(nil)
    | ~ spl4_2
    | ~ spl4_3
    | ~ spl4_4
    | ~ spl4_7 ),
    inference(superposition,[],[f1044,f1134]) ).

fof(f1134,plain,
    ( sk3 = app(sk3,nil)
    | ~ spl4_2
    | ~ spl4_3
    | ~ spl4_4
    | ~ spl4_7 ),
    inference(forward_demodulation,[],[f1133,f240]) ).

fof(f240,plain,
    ( sk3 = sF3
    | ~ spl4_2 ),
    inference(avatar_component_clause,[],[f238]) ).

fof(f238,plain,
    ( spl4_2
  <=> sk3 = sF3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).

fof(f1133,plain,
    ( sF3 = app(sk3,nil)
    | ~ spl4_2
    | ~ spl4_3
    | ~ spl4_4
    | ~ spl4_7 ),
    inference(forward_demodulation,[],[f1132,f222]) ).

fof(f222,plain,
    app(sF2,sF1) = sF3,
    introduced(function_definition,[new_symbols(definition,[sF3])]) ).

fof(f1132,plain,
    ( app(sF2,sF1) = app(sk3,nil)
    | ~ spl4_2
    | ~ spl4_3
    | ~ spl4_4
    | ~ spl4_7 ),
    inference(subsumption_resolution,[],[f1131,f247]) ).

fof(f247,plain,
    ( ssList(sF1)
    | ~ spl4_4 ),
    inference(avatar_component_clause,[],[f246]) ).

fof(f246,plain,
    ( spl4_4
  <=> ssList(sF1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).

fof(f1131,plain,
    ( app(sF2,sF1) = app(sk3,nil)
    | ~ ssList(sF1)
    | ~ spl4_2
    | ~ spl4_3
    | ~ spl4_4
    | ~ spl4_7 ),
    inference(subsumption_resolution,[],[f1117,f260]) ).

fof(f1117,plain,
    ( app(sF2,sF1) = app(sk3,nil)
    | ~ ssList(nil)
    | ~ ssList(sF1)
    | ~ spl4_2
    | ~ spl4_3
    | ~ spl4_4 ),
    inference(superposition,[],[f778,f73]) ).

fof(f73,axiom,
    ! [X0] :
      ( app(X0,nil) = X0
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.RgRtQNmrEn/Vampire---4.8_14091',clause73) ).

fof(f778,plain,
    ( ! [X0] :
        ( app(sk3,X0) = app(sF2,app(sF1,X0))
        | ~ ssList(X0) )
    | ~ spl4_2
    | ~ spl4_3
    | ~ spl4_4 ),
    inference(forward_demodulation,[],[f777,f240]) ).

fof(f777,plain,
    ( ! [X0] :
        ( app(sF2,app(sF1,X0)) = app(sF3,X0)
        | ~ ssList(X0) )
    | ~ spl4_3
    | ~ spl4_4 ),
    inference(subsumption_resolution,[],[f776,f247]) ).

fof(f776,plain,
    ( ! [X0] :
        ( app(sF2,app(sF1,X0)) = app(sF3,X0)
        | ~ ssList(sF1)
        | ~ ssList(X0) )
    | ~ spl4_3 ),
    inference(subsumption_resolution,[],[f745,f243]) ).

fof(f243,plain,
    ( ssList(sF2)
    | ~ spl4_3 ),
    inference(avatar_component_clause,[],[f242]) ).

fof(f242,plain,
    ( spl4_3
  <=> ssList(sF2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).

fof(f745,plain,
    ! [X0] :
      ( app(sF2,app(sF1,X0)) = app(sF3,X0)
      | ~ ssList(sF2)
      | ~ ssList(sF1)
      | ~ ssList(X0) ),
    inference(superposition,[],[f149,f222]) ).

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.RgRtQNmrEn/Vampire---4.8_14091',clause149) ).

fof(f1044,plain,
    ( ! [X0] :
        ( segmentP(app(sk3,X0),sF1)
        | ~ ssList(app(sk3,X0))
        | ~ ssList(X0) )
    | ~ spl4_2
    | ~ spl4_3
    | ~ spl4_4 ),
    inference(forward_demodulation,[],[f1043,f240]) ).

fof(f1043,plain,
    ( ! [X0] :
        ( segmentP(app(sk3,X0),sF1)
        | ~ ssList(app(sF3,X0))
        | ~ ssList(X0) )
    | ~ spl4_2
    | ~ spl4_3
    | ~ spl4_4 ),
    inference(forward_demodulation,[],[f1042,f240]) ).

fof(f1042,plain,
    ( ! [X0] :
        ( segmentP(app(sF3,X0),sF1)
        | ~ ssList(app(sF3,X0))
        | ~ ssList(X0) )
    | ~ spl4_3
    | ~ spl4_4 ),
    inference(subsumption_resolution,[],[f1041,f243]) ).

fof(f1041,plain,
    ( ! [X0] :
        ( segmentP(app(sF3,X0),sF1)
        | ~ ssList(app(sF3,X0))
        | ~ ssList(sF2)
        | ~ ssList(X0) )
    | ~ spl4_4 ),
    inference(subsumption_resolution,[],[f1019,f247]) ).

fof(f1019,plain,
    ! [X0] :
      ( segmentP(app(sF3,X0),sF1)
      | ~ ssList(app(sF3,X0))
      | ~ ssList(sF1)
      | ~ ssList(sF2)
      | ~ ssList(X0) ),
    inference(superposition,[],[f217,f222]) ).

fof(f217,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.RgRtQNmrEn/Vampire---4.8_14091',clause173) ).

fof(f1477,plain,
    ( ~ segmentP(sk3,sF1)
    | ~ spl4_3
    | ~ spl4_4
    | ~ spl4_5
    | ~ spl4_7
    | spl4_12 ),
    inference(subsumption_resolution,[],[f1476,f337]) ).

fof(f337,plain,
    ( nil != sF1
    | ~ spl4_5
    | ~ spl4_7 ),
    inference(subsumption_resolution,[],[f336,f260]) ).

fof(f336,plain,
    ( nil != sF1
    | ~ ssList(nil)
    | ~ spl4_5 ),
    inference(subsumption_resolution,[],[f335,f251]) ).

fof(f251,plain,
    ( ssItem(sF0)
    | ~ spl4_5 ),
    inference(avatar_component_clause,[],[f250]) ).

fof(f250,plain,
    ( spl4_5
  <=> ssItem(sF0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_5])]) ).

fof(f335,plain,
    ( nil != sF1
    | ~ ssItem(sF0)
    | ~ ssList(nil) ),
    inference(superposition,[],[f98,f220]) ).

fof(f220,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.RgRtQNmrEn/Vampire---4.8_14091',clause98) ).

fof(f1476,plain,
    ( nil = sF1
    | ~ segmentP(sk3,sF1)
    | ~ spl4_3
    | ~ spl4_4
    | ~ spl4_5
    | ~ spl4_7
    | spl4_12 ),
    inference(subsumption_resolution,[],[f1473,f247]) ).

fof(f1473,plain,
    ( ~ ssList(sF1)
    | nil = sF1
    | ~ segmentP(sk3,sF1)
    | ~ spl4_3
    | ~ spl4_4
    | ~ spl4_5
    | ~ spl4_7
    | spl4_12 ),
    inference(resolution,[],[f1426,f355]) ).

fof(f355,plain,
    ( ! [X0] :
        ( ~ segmentP(sk4,X0)
        | ~ ssList(X0)
        | nil = X0
        | ~ segmentP(sk3,X0) )
    | ~ spl4_7 ),
    inference(subsumption_resolution,[],[f354,f260]) ).

fof(f354,plain,
    ! [X0] :
      ( nil = X0
      | ~ ssList(X0)
      | ~ ssList(nil)
      | ~ segmentP(sk4,X0)
      | ~ segmentP(sk3,X0) ),
    inference(duplicate_literal_removal,[],[f348]) ).

fof(f348,plain,
    ! [X0] :
      ( nil = X0
      | ~ ssList(X0)
      | ~ ssList(nil)
      | ~ segmentP(sk4,X0)
      | ~ segmentP(sk3,X0)
      | ~ ssList(X0) ),
    inference(resolution,[],[f100,f231]) ).

fof(f231,plain,
    ! [X6] :
      ( ~ neq(X6,nil)
      | ~ segmentP(sk4,X6)
      | ~ segmentP(sk3,X6)
      | ~ ssList(X6) ),
    inference(subsumption_resolution,[],[f204,f230]) ).

fof(f230,plain,
    neq(sk4,nil),
    inference(duplicate_literal_removal,[],[f200]) ).

fof(f200,plain,
    ( neq(sk4,nil)
    | neq(sk4,nil) ),
    inference(definition_unfolding,[],[f192,f190,f190]) ).

fof(f190,axiom,
    sk2 = sk4,
    file('/export/starexec/sandbox/tmp/tmp.RgRtQNmrEn/Vampire---4.8_14091',co1_5) ).

fof(f192,axiom,
    ( neq(sk2,nil)
    | neq(sk2,nil) ),
    file('/export/starexec/sandbox/tmp/tmp.RgRtQNmrEn/Vampire---4.8_14091',co1_7) ).

fof(f204,plain,
    ! [X6] :
      ( ~ neq(sk4,nil)
      | ~ segmentP(sk3,X6)
      | ~ segmentP(sk4,X6)
      | ~ neq(X6,nil)
      | ~ ssList(X6) ),
    inference(definition_unfolding,[],[f196,f191,f190]) ).

fof(f196,axiom,
    ! [X6] :
      ( ~ neq(sk4,nil)
      | ~ segmentP(sk1,X6)
      | ~ segmentP(sk2,X6)
      | ~ neq(X6,nil)
      | ~ ssList(X6) ),
    file('/export/starexec/sandbox/tmp/tmp.RgRtQNmrEn/Vampire---4.8_14091',co1_11) ).

fof(f100,axiom,
    ! [X0,X1] :
      ( neq(X1,X0)
      | X0 = X1
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.RgRtQNmrEn/Vampire---4.8_14091',clause100) ).

fof(f1426,plain,
    ( segmentP(sk4,sF1)
    | ~ spl4_3
    | ~ spl4_4
    | ~ spl4_5
    | ~ spl4_7
    | spl4_12 ),
    inference(subsumption_resolution,[],[f1419,f243]) ).

fof(f1419,plain,
    ( segmentP(sk4,sF1)
    | ~ ssList(sF2)
    | ~ spl4_4
    | ~ spl4_5
    | ~ spl4_7
    | spl4_12 ),
    inference(superposition,[],[f1365,f382]) ).

fof(f382,plain,
    ( sk4 = cons(sF0,sF2)
    | spl4_12 ),
    inference(forward_demodulation,[],[f381,f221]) ).

fof(f221,plain,
    tl(sk4) = sF2,
    introduced(function_definition,[new_symbols(definition,[sF2])]) ).

fof(f381,plain,
    ( sk4 = cons(sF0,tl(sk4))
    | spl4_12 ),
    inference(subsumption_resolution,[],[f380,f199]) ).

fof(f199,plain,
    ssList(sk4),
    inference(definition_unfolding,[],[f187,f190]) ).

fof(f187,axiom,
    ssList(sk2),
    file('/export/starexec/sandbox/tmp/tmp.RgRtQNmrEn/Vampire---4.8_14091',co1_2) ).

fof(f380,plain,
    ( sk4 = cons(sF0,tl(sk4))
    | ~ ssList(sk4)
    | spl4_12 ),
    inference(subsumption_resolution,[],[f371,f288]) ).

fof(f288,plain,
    ( nil != sk4
    | spl4_12 ),
    inference(avatar_component_clause,[],[f287]) ).

fof(f287,plain,
    ( spl4_12
  <=> nil = sk4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_12])]) ).

fof(f371,plain,
    ( sk4 = cons(sF0,tl(sk4))
    | nil = sk4
    | ~ ssList(sk4) ),
    inference(superposition,[],[f104,f219]) ).

fof(f219,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.RgRtQNmrEn/Vampire---4.8_14091',clause104) ).

fof(f1365,plain,
    ( ! [X0] :
        ( segmentP(cons(sF0,X0),sF1)
        | ~ ssList(X0) )
    | ~ spl4_4
    | ~ spl4_5
    | ~ spl4_7 ),
    inference(subsumption_resolution,[],[f1350,f247]) ).

fof(f1350,plain,
    ( ! [X0] :
        ( segmentP(cons(sF0,X0),sF1)
        | ~ ssList(sF1)
        | ~ ssList(X0) )
    | ~ spl4_5
    | ~ spl4_7 ),
    inference(duplicate_literal_removal,[],[f1346]) ).

fof(f1346,plain,
    ( ! [X0] :
        ( segmentP(cons(sF0,X0),sF1)
        | ~ ssList(sF1)
        | ~ ssList(X0)
        | ~ ssList(X0) )
    | ~ spl4_5
    | ~ spl4_7 ),
    inference(superposition,[],[f1036,f437]) ).

fof(f437,plain,
    ( ! [X0] :
        ( cons(sF0,X0) = app(sF1,X0)
        | ~ ssList(X0) )
    | ~ spl4_5 ),
    inference(subsumption_resolution,[],[f430,f251]) ).

fof(f430,plain,
    ! [X0] :
      ( cons(sF0,X0) = app(sF1,X0)
      | ~ ssList(X0)
      | ~ ssItem(sF0) ),
    inference(superposition,[],[f120,f220]) ).

fof(f120,axiom,
    ! [X0,X1] :
      ( cons(X0,X1) = app(cons(X0,nil),X1)
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.RgRtQNmrEn/Vampire---4.8_14091',clause120) ).

fof(f1036,plain,
    ( ! [X0,X1] :
        ( segmentP(app(X0,X1),X0)
        | ~ ssList(X0)
        | ~ ssList(X1) )
    | ~ spl4_7 ),
    inference(subsumption_resolution,[],[f1035,f85]) ).

fof(f85,axiom,
    ! [X0,X1] :
      ( ssList(app(X1,X0))
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.RgRtQNmrEn/Vampire---4.8_14091',clause85) ).

fof(f1035,plain,
    ( ! [X0,X1] :
        ( segmentP(app(X0,X1),X0)
        | ~ ssList(app(X0,X1))
        | ~ ssList(X0)
        | ~ ssList(X1) )
    | ~ spl4_7 ),
    inference(subsumption_resolution,[],[f1030,f260]) ).

fof(f1030,plain,
    ! [X0,X1] :
      ( segmentP(app(X0,X1),X0)
      | ~ ssList(app(X0,X1))
      | ~ ssList(X0)
      | ~ ssList(nil)
      | ~ ssList(X1) ),
    inference(duplicate_literal_removal,[],[f1013]) ).

fof(f1013,plain,
    ! [X0,X1] :
      ( segmentP(app(X0,X1),X0)
      | ~ ssList(app(X0,X1))
      | ~ ssList(X0)
      | ~ ssList(nil)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(superposition,[],[f217,f74]) ).

fof(f74,axiom,
    ! [X0] :
      ( app(nil,X0) = X0
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.RgRtQNmrEn/Vampire---4.8_14091',clause74) ).

fof(f359,plain,
    ( spl4_6
    | ~ spl4_7
    | spl4_12 ),
    inference(avatar_contradiction_clause,[],[f358]) ).

fof(f358,plain,
    ( $false
    | spl4_6
    | ~ spl4_7
    | spl4_12 ),
    inference(subsumption_resolution,[],[f357,f199]) ).

fof(f357,plain,
    ( ~ ssList(sk4)
    | spl4_6
    | ~ spl4_7
    | spl4_12 ),
    inference(subsumption_resolution,[],[f356,f260]) ).

fof(f356,plain,
    ( ~ ssList(nil)
    | ~ ssList(sk4)
    | spl4_6
    | spl4_12 ),
    inference(subsumption_resolution,[],[f351,f288]) ).

fof(f351,plain,
    ( nil = sk4
    | ~ ssList(nil)
    | ~ ssList(sk4)
    | spl4_6 ),
    inference(resolution,[],[f100,f256]) ).

fof(f256,plain,
    ( ~ neq(nil,sk4)
    | spl4_6 ),
    inference(avatar_component_clause,[],[f254]) ).

fof(f254,plain,
    ( spl4_6
  <=> neq(nil,sk4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_6])]) ).

fof(f334,plain,
    ( spl4_4
    | ~ spl4_5
    | ~ spl4_7 ),
    inference(avatar_split_clause,[],[f333,f259,f250,f246]) ).

fof(f333,plain,
    ( ssList(sF1)
    | ~ spl4_5
    | ~ spl4_7 ),
    inference(subsumption_resolution,[],[f332,f251]) ).

fof(f332,plain,
    ( ssList(sF1)
    | ~ ssItem(sF0)
    | ~ spl4_7 ),
    inference(subsumption_resolution,[],[f325,f260]) ).

fof(f325,plain,
    ( ssList(sF1)
    | ~ ssList(nil)
    | ~ ssItem(sF0) ),
    inference(superposition,[],[f86,f220]) ).

fof(f86,axiom,
    ! [X0,X1] :
      ( ssList(cons(X0,X1))
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.RgRtQNmrEn/Vampire---4.8_14091',clause86) ).

fof(f331,plain,
    ( ~ spl4_4
    | spl4_1
    | ~ spl4_3 ),
    inference(avatar_split_clause,[],[f330,f242,f234,f246]) ).

fof(f234,plain,
    ( spl4_1
  <=> ssList(sF3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).

fof(f330,plain,
    ( ssList(sF3)
    | ~ ssList(sF1)
    | ~ spl4_3 ),
    inference(subsumption_resolution,[],[f315,f243]) ).

fof(f315,plain,
    ( ssList(sF3)
    | ~ ssList(sF2)
    | ~ ssList(sF1) ),
    inference(superposition,[],[f85,f222]) ).

fof(f309,plain,
    ( spl4_5
    | spl4_12 ),
    inference(avatar_split_clause,[],[f308,f287,f250]) ).

fof(f308,plain,
    ( ssItem(sF0)
    | spl4_12 ),
    inference(subsumption_resolution,[],[f307,f199]) ).

fof(f307,plain,
    ( ssItem(sF0)
    | ~ ssList(sk4)
    | spl4_12 ),
    inference(subsumption_resolution,[],[f306,f288]) ).

fof(f306,plain,
    ( ssItem(sF0)
    | nil = sk4
    | ~ ssList(sk4) ),
    inference(superposition,[],[f78,f219]) ).

fof(f78,axiom,
    ! [X0] :
      ( ssItem(hd(X0))
      | nil = X0
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.RgRtQNmrEn/Vampire---4.8_14091',clause78) ).

fof(f305,plain,
    spl4_11,
    inference(avatar_contradiction_clause,[],[f304]) ).

fof(f304,plain,
    ( $false
    | spl4_11 ),
    inference(subsumption_resolution,[],[f303,f199]) ).

fof(f303,plain,
    ( ~ ssList(sk4)
    | spl4_11 ),
    inference(resolution,[],[f282,f57]) ).

fof(f57,axiom,
    ! [X0] :
      ( segmentP(X0,X0)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.RgRtQNmrEn/Vampire---4.8_14091',clause57) ).

fof(f282,plain,
    ( ~ segmentP(sk4,sk4)
    | spl4_11 ),
    inference(avatar_component_clause,[],[f280]) ).

fof(f280,plain,
    ( spl4_11
  <=> segmentP(sk4,sk4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_11])]) ).

fof(f298,plain,
    ( spl4_10
    | ~ spl4_12 ),
    inference(avatar_contradiction_clause,[],[f297]) ).

fof(f297,plain,
    ( $false
    | spl4_10
    | ~ spl4_12 ),
    inference(subsumption_resolution,[],[f296,f198]) ).

fof(f296,plain,
    ( ~ ssList(sk3)
    | spl4_10
    | ~ spl4_12 ),
    inference(resolution,[],[f293,f56]) ).

fof(f56,axiom,
    ! [X0] :
      ( segmentP(X0,nil)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.RgRtQNmrEn/Vampire---4.8_14091',clause56) ).

fof(f293,plain,
    ( ~ segmentP(sk3,nil)
    | spl4_10
    | ~ spl4_12 ),
    inference(superposition,[],[f278,f289]) ).

fof(f289,plain,
    ( nil = sk4
    | ~ spl4_12 ),
    inference(avatar_component_clause,[],[f287]) ).

fof(f278,plain,
    ( ~ segmentP(sk3,sk4)
    | spl4_10 ),
    inference(avatar_component_clause,[],[f276]) ).

fof(f276,plain,
    ( spl4_10
  <=> segmentP(sk3,sk4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_10])]) ).

fof(f290,plain,
    ( spl4_12
    | spl4_3 ),
    inference(avatar_split_clause,[],[f285,f242,f287]) ).

fof(f285,plain,
    ( ssList(sF2)
    | nil = sk4 ),
    inference(subsumption_resolution,[],[f284,f199]) ).

fof(f284,plain,
    ( ssList(sF2)
    | nil = sk4
    | ~ ssList(sk4) ),
    inference(superposition,[],[f77,f221]) ).

fof(f77,axiom,
    ! [X0] :
      ( ssList(tl(X0))
      | nil = X0
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.RgRtQNmrEn/Vampire---4.8_14091',clause77) ).

fof(f283,plain,
    ( ~ spl4_10
    | ~ spl4_11 ),
    inference(avatar_split_clause,[],[f274,f280,f276]) ).

fof(f274,plain,
    ( ~ segmentP(sk4,sk4)
    | ~ segmentP(sk3,sk4) ),
    inference(subsumption_resolution,[],[f273,f199]) ).

fof(f273,plain,
    ( ~ segmentP(sk4,sk4)
    | ~ segmentP(sk3,sk4)
    | ~ ssList(sk4) ),
    inference(resolution,[],[f231,f230]) ).

fof(f267,plain,
    spl4_7,
    inference(avatar_split_clause,[],[f8,f259]) ).

fof(f8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox/tmp/tmp.RgRtQNmrEn/Vampire---4.8_14091',clause8) ).

fof(f257,plain,
    ( ~ spl4_1
    | spl4_2
    | ~ spl4_3
    | ~ spl4_4
    | ~ spl4_5
    | ~ spl4_6 ),
    inference(avatar_split_clause,[],[f232,f254,f250,f246,f242,f238,f234]) ).

fof(f232,plain,
    ( ~ neq(nil,sk4)
    | ~ ssItem(sF0)
    | ~ ssList(sF1)
    | ~ ssList(sF2)
    | sk3 = sF3
    | ~ ssList(sF3) ),
    inference(subsumption_resolution,[],[f228,f230]) ).

fof(f228,plain,
    ( ~ neq(sk4,nil)
    | ~ neq(nil,sk4)
    | ~ ssItem(sF0)
    | ~ ssList(sF1)
    | ~ ssList(sF2)
    | sk3 = sF3
    | ~ ssList(sF3) ),
    inference(duplicate_literal_removal,[],[f224]) ).

fof(f224,plain,
    ( ~ neq(sk4,nil)
    | ~ neq(nil,sk4)
    | ~ neq(nil,sk4)
    | ~ ssItem(sF0)
    | ~ ssList(sF1)
    | ~ ssList(sF2)
    | sk3 = sF3
    | ~ ssList(sF3) ),
    inference(definition_folding,[],[f212,f222,f220,f219,f221,f222,f220,f219,f221,f221,f220,f219,f219]) ).

fof(f212,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,[],[f211]) ).

fof(f211,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,[],[f210]) ).

fof(f210,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,[],[f209]) ).

fof(f209,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,[],[f197]) ).

fof(f197,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.RgRtQNmrEn/Vampire---4.8_14091',co1_12) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWC087-1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.14  % 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
% 0.14/0.34  % Computer : n015.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Tue Apr 30 18:40:03 EDT 2024
% 0.14/0.34  % CPUTime    : 
% 0.14/0.34  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.14/0.34  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.RgRtQNmrEn/Vampire---4.8_14091
% 0.52/0.73  % (14354)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)
% 0.52/0.73  % (14348)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)
% 0.52/0.73  % (14349)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)
% 0.52/0.73  % (14350)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.52/0.73  % (14351)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)
% 0.52/0.73  % (14352)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)
% 0.52/0.73  % (14353)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)
% 0.52/0.74  % (14355)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)
% 0.52/0.74  % (14352)Refutation not found, incomplete strategy% (14352)------------------------------
% 0.52/0.74  % (14352)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.52/0.74  % (14352)Termination reason: Refutation not found, incomplete strategy
% 0.52/0.74  
% 0.52/0.74  % (14352)Memory used [KB]: 1272
% 0.52/0.74  % (14352)Time elapsed: 0.008 s
% 0.52/0.74  % (14352)Instructions burned: 12 (million)
% 0.52/0.74  % (14352)------------------------------
% 0.52/0.74  % (14352)------------------------------
% 0.57/0.74  % (14356)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)
% 0.57/0.75  % (14351)Instruction limit reached!
% 0.57/0.75  % (14351)------------------------------
% 0.57/0.75  % (14351)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.75  % (14351)Termination reason: Unknown
% 0.57/0.75  % (14351)Termination phase: Saturation
% 0.57/0.75  
% 0.57/0.75  % (14351)Memory used [KB]: 1416
% 0.57/0.75  % (14351)Time elapsed: 0.020 s
% 0.57/0.75  % (14351)Instructions burned: 33 (million)
% 0.57/0.75  % (14351)------------------------------
% 0.57/0.75  % (14351)------------------------------
% 0.57/0.75  % (14354)Instruction limit reached!
% 0.57/0.75  % (14354)------------------------------
% 0.57/0.75  % (14354)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.75  % (14354)Termination reason: Unknown
% 0.57/0.75  % (14354)Termination phase: Saturation
% 0.57/0.75  
% 0.57/0.75  % (14354)Memory used [KB]: 2045
% 0.57/0.75  % (14354)Time elapsed: 0.025 s
% 0.57/0.75  % (14354)Instructions burned: 85 (million)
% 0.57/0.75  % (14354)------------------------------
% 0.57/0.75  % (14354)------------------------------
% 0.57/0.75  % (14357)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 (2996ds/50Mi)
% 0.57/0.76  % (14358)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 (2996ds/208Mi)
% 0.57/0.76  % (14353)Instruction limit reached!
% 0.57/0.76  % (14353)------------------------------
% 0.57/0.76  % (14353)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.76  % (14353)Termination reason: Unknown
% 0.57/0.76  % (14353)Termination phase: Saturation
% 0.57/0.76  
% 0.57/0.76  % (14353)Memory used [KB]: 1601
% 0.57/0.76  % (14353)Time elapsed: 0.027 s
% 0.57/0.76  % (14353)Instructions burned: 45 (million)
% 0.57/0.76  % (14353)------------------------------
% 0.57/0.76  % (14353)------------------------------
% 0.57/0.76  % (14348)Instruction limit reached!
% 0.57/0.76  % (14348)------------------------------
% 0.57/0.76  % (14348)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.76  % (14348)Termination reason: Unknown
% 0.57/0.76  % (14348)Termination phase: Saturation
% 0.57/0.76  
% 0.57/0.76  % (14348)Memory used [KB]: 1492
% 0.57/0.76  % (14348)Time elapsed: 0.023 s
% 0.57/0.76  % (14348)Instructions burned: 35 (million)
% 0.57/0.76  % (14348)------------------------------
% 0.57/0.76  % (14348)------------------------------
% 0.68/0.76  % (14359)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 (2996ds/52Mi)
% 0.68/0.76  % (14360)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 (2996ds/518Mi)
% 0.68/0.76  % (14349)Instruction limit reached!
% 0.68/0.76  % (14349)------------------------------
% 0.68/0.76  % (14349)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.68/0.76  % (14349)Termination reason: Unknown
% 0.68/0.76  % (14355)Instruction limit reached!
% 0.68/0.76  % (14355)------------------------------
% 0.68/0.76  % (14355)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.68/0.76  % (14355)Termination reason: Unknown
% 0.68/0.76  % (14355)Termination phase: Saturation
% 0.68/0.76  
% 0.68/0.76  % (14355)Memory used [KB]: 1367
% 0.68/0.76  % (14355)Time elapsed: 0.031 s
% 0.68/0.76  % (14355)Instructions burned: 58 (million)
% 0.68/0.76  % (14355)------------------------------
% 0.68/0.76  % (14355)------------------------------
% 0.68/0.76  % (14349)Termination phase: Saturation
% 0.68/0.76  
% 0.68/0.76  % (14349)Memory used [KB]: 1924
% 0.68/0.76  % (14349)Time elapsed: 0.034 s
% 0.68/0.76  % (14349)Instructions burned: 51 (million)
% 0.68/0.76  % (14349)------------------------------
% 0.68/0.76  % (14349)------------------------------
% 0.68/0.77  % (14361)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)
% 0.68/0.77  % (14362)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)
% 0.68/0.78  % (14358)First to succeed.
% 0.68/0.78  % (14356)Instruction limit reached!
% 0.68/0.78  % (14356)------------------------------
% 0.68/0.78  % (14356)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.68/0.78  % (14356)Termination reason: Unknown
% 0.68/0.78  % (14356)Termination phase: Saturation
% 0.68/0.78  
% 0.68/0.78  % (14356)Memory used [KB]: 2035
% 0.68/0.78  % (14356)Time elapsed: 0.033 s
% 0.68/0.78  % (14356)Instructions burned: 56 (million)
% 0.68/0.78  % (14356)------------------------------
% 0.68/0.78  % (14356)------------------------------
% 0.68/0.78  % (14350)Instruction limit reached!
% 0.68/0.78  % (14350)------------------------------
% 0.68/0.78  % (14350)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.68/0.78  % (14350)Termination reason: Unknown
% 0.68/0.78  % (14350)Termination phase: Saturation
% 0.68/0.78  
% 0.68/0.78  % (14350)Memory used [KB]: 1822
% 0.68/0.78  % (14350)Time elapsed: 0.047 s
% 0.68/0.78  % (14350)Instructions burned: 79 (million)
% 0.68/0.78  % (14350)------------------------------
% 0.68/0.78  % (14350)------------------------------
% 0.68/0.78  % (14358)Refutation found. Thanks to Tanya!
% 0.68/0.78  % SZS status Unsatisfiable for Vampire---4
% 0.68/0.78  % SZS output start Proof for Vampire---4
% See solution above
% 0.68/0.78  % (14358)------------------------------
% 0.68/0.78  % (14358)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.68/0.78  % (14358)Termination reason: Refutation
% 0.68/0.78  
% 0.68/0.78  % (14358)Memory used [KB]: 1558
% 0.68/0.78  % (14358)Time elapsed: 0.020 s
% 0.68/0.78  % (14358)Instructions burned: 58 (million)
% 0.68/0.78  % (14358)------------------------------
% 0.68/0.78  % (14358)------------------------------
% 0.68/0.78  % (14343)Success in time 0.414 s
% 0.68/0.78  % Vampire---4.8 exiting
%------------------------------------------------------------------------------