TSTP Solution File: SWC073-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWC073-1 : TPTP v8.2.0. 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/sandbox2/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 : Tue May 21 04:36:01 EDT 2024

% Result   : Unsatisfiable 0.62s 0.84s
% Output   : Refutation 0.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   39
% Syntax   : Number of formulae    :  139 (  13 unt;   0 def)
%            Number of atoms       :  504 (  79 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :  701 ( 336   ~; 353   |;   0   &)
%                                         (  12 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   18 (  16 usr;  13 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;   9 con; 0-2 aty)
%            Number of variables   :   66 (  66   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1708,plain,
    $false,
    inference(avatar_sat_refutation,[],[f228,f229,f238,f263,f273,f281,f284,f298,f326,f349,f351,f371,f387,f1706]) ).

fof(f1706,plain,
    ( spl4_1
    | ~ spl4_6
    | ~ spl4_7
    | ~ spl4_8
    | ~ spl4_9
    | ~ spl4_11
    | spl4_18 ),
    inference(avatar_contradiction_clause,[],[f1705]) ).

fof(f1705,plain,
    ( $false
    | spl4_1
    | ~ spl4_6
    | ~ spl4_7
    | ~ spl4_8
    | ~ spl4_9
    | ~ spl4_11
    | spl4_18 ),
    inference(subsumption_resolution,[],[f1704,f249]) ).

fof(f249,plain,
    ( ssList(sF2)
    | ~ spl4_7 ),
    inference(avatar_component_clause,[],[f248]) ).

fof(f248,plain,
    ( spl4_7
  <=> ssList(sF2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_7])]) ).

fof(f1704,plain,
    ( ~ ssList(sF2)
    | spl4_1
    | ~ spl4_6
    | ~ spl4_7
    | ~ spl4_8
    | ~ spl4_9
    | ~ spl4_11
    | spl4_18 ),
    inference(subsumption_resolution,[],[f1696,f1170]) ).

fof(f1170,plain,
    ( ~ segmentP(sk3,sF1)
    | ~ spl4_6
    | ~ spl4_7
    | ~ spl4_8
    | ~ spl4_11
    | spl4_18 ),
    inference(subsumption_resolution,[],[f1169,f368]) ).

fof(f368,plain,
    ( nil != sF1
    | spl4_18 ),
    inference(avatar_component_clause,[],[f366]) ).

fof(f366,plain,
    ( spl4_18
  <=> nil = sF1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_18])]) ).

fof(f1169,plain,
    ( nil = sF1
    | ~ segmentP(sk3,sF1)
    | ~ spl4_6
    | ~ spl4_7
    | ~ spl4_8
    | ~ spl4_11 ),
    inference(subsumption_resolution,[],[f1166,f253]) ).

fof(f253,plain,
    ( ssList(sF1)
    | ~ spl4_8 ),
    inference(avatar_component_clause,[],[f252]) ).

fof(f252,plain,
    ( spl4_8
  <=> ssList(sF1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_8])]) ).

fof(f1166,plain,
    ( ~ ssList(sF1)
    | nil = sF1
    | ~ segmentP(sk3,sF1)
    | ~ spl4_6
    | ~ spl4_7
    | ~ spl4_8
    | ~ spl4_11 ),
    inference(resolution,[],[f1165,f327]) ).

fof(f327,plain,
    ( ! [X0] :
        ( ~ segmentP(sk4,X0)
        | ~ ssList(X0)
        | nil = X0
        | ~ segmentP(sk3,X0) )
    | ~ spl4_11 ),
    inference(subsumption_resolution,[],[f322,f266]) ).

fof(f266,plain,
    ( ssList(nil)
    | ~ spl4_11 ),
    inference(avatar_component_clause,[],[f265]) ).

fof(f265,plain,
    ( spl4_11
  <=> ssList(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_11])]) ).

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,f199]) ).

fof(f199,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/sandbox2/benchmark/theBenchmark.p',co1_5) ).

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

fof(f192,axiom,
    ! [X6] :
      ( ~ segmentP(sk1,X6)
      | ~ segmentP(sk2,X6)
      | ~ neq(X6,nil)
      | ~ ssList(X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).

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

fof(f1165,plain,
    ( segmentP(sk4,sF1)
    | ~ spl4_6
    | ~ spl4_7
    | ~ spl4_8
    | ~ spl4_11 ),
    inference(subsumption_resolution,[],[f1164,f266]) ).

fof(f1164,plain,
    ( segmentP(sk4,sF1)
    | ~ ssList(nil)
    | ~ spl4_6
    | ~ spl4_7
    | ~ spl4_8
    | ~ spl4_11 ),
    inference(subsumption_resolution,[],[f1155,f198]) ).

fof(f198,plain,
    ssList(sk4),
    inference(definition_unfolding,[],[f187,f190]) ).

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

fof(f1155,plain,
    ( segmentP(sk4,sF1)
    | ~ ssList(sk4)
    | ~ ssList(nil)
    | ~ spl4_6
    | ~ spl4_7
    | ~ spl4_8
    | ~ spl4_11 ),
    inference(superposition,[],[f1076,f1019]) ).

fof(f1019,plain,
    ( sk4 = app(sk4,nil)
    | ~ spl4_6
    | ~ spl4_7
    | ~ spl4_8
    | ~ spl4_11 ),
    inference(forward_demodulation,[],[f1018,f246]) ).

fof(f246,plain,
    ( sk4 = sF3
    | ~ spl4_6 ),
    inference(avatar_component_clause,[],[f244]) ).

fof(f244,plain,
    ( spl4_6
  <=> sk4 = sF3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_6])]) ).

fof(f1018,plain,
    ( sF3 = app(sk4,nil)
    | ~ spl4_6
    | ~ spl4_7
    | ~ spl4_8
    | ~ spl4_11 ),
    inference(forward_demodulation,[],[f1017,f214]) ).

fof(f214,plain,
    app(sF2,sF1) = sF3,
    introduced(function_definition,[new_symbols(definition,[sF3])]) ).

fof(f1017,plain,
    ( app(sF2,sF1) = app(sk4,nil)
    | ~ spl4_6
    | ~ spl4_7
    | ~ spl4_8
    | ~ spl4_11 ),
    inference(subsumption_resolution,[],[f1016,f253]) ).

fof(f1016,plain,
    ( app(sF2,sF1) = app(sk4,nil)
    | ~ ssList(sF1)
    | ~ spl4_6
    | ~ spl4_7
    | ~ spl4_8
    | ~ spl4_11 ),
    inference(subsumption_resolution,[],[f1003,f266]) ).

fof(f1003,plain,
    ( app(sF2,sF1) = app(sk4,nil)
    | ~ ssList(nil)
    | ~ ssList(sF1)
    | ~ spl4_6
    | ~ spl4_7
    | ~ spl4_8 ),
    inference(superposition,[],[f794,f73]) ).

fof(f73,axiom,
    ! [X0] :
      ( app(X0,nil) = X0
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).

fof(f794,plain,
    ( ! [X0] :
        ( app(sF2,app(sF1,X0)) = app(sk4,X0)
        | ~ ssList(X0) )
    | ~ spl4_6
    | ~ spl4_7
    | ~ spl4_8 ),
    inference(forward_demodulation,[],[f793,f246]) ).

fof(f793,plain,
    ( ! [X0] :
        ( app(sF2,app(sF1,X0)) = app(sF3,X0)
        | ~ ssList(X0) )
    | ~ spl4_7
    | ~ spl4_8 ),
    inference(subsumption_resolution,[],[f792,f253]) ).

fof(f792,plain,
    ( ! [X0] :
        ( app(sF2,app(sF1,X0)) = app(sF3,X0)
        | ~ ssList(sF1)
        | ~ ssList(X0) )
    | ~ spl4_7 ),
    inference(subsumption_resolution,[],[f761,f249]) ).

fof(f761,plain,
    ! [X0] :
      ( app(sF2,app(sF1,X0)) = app(sF3,X0)
      | ~ ssList(sF2)
      | ~ ssList(sF1)
      | ~ ssList(X0) ),
    inference(superposition,[],[f149,f214]) ).

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/sandbox2/benchmark/theBenchmark.p',clause149) ).

fof(f1076,plain,
    ( ! [X0] :
        ( segmentP(app(sk4,X0),sF1)
        | ~ ssList(app(sk4,X0))
        | ~ ssList(X0) )
    | ~ spl4_6
    | ~ spl4_7
    | ~ spl4_8 ),
    inference(forward_demodulation,[],[f1075,f246]) ).

fof(f1075,plain,
    ( ! [X0] :
        ( segmentP(app(sk4,X0),sF1)
        | ~ ssList(app(sF3,X0))
        | ~ ssList(X0) )
    | ~ spl4_6
    | ~ spl4_7
    | ~ spl4_8 ),
    inference(forward_demodulation,[],[f1074,f246]) ).

fof(f1074,plain,
    ( ! [X0] :
        ( segmentP(app(sF3,X0),sF1)
        | ~ ssList(app(sF3,X0))
        | ~ ssList(X0) )
    | ~ spl4_7
    | ~ spl4_8 ),
    inference(subsumption_resolution,[],[f1073,f249]) ).

fof(f1073,plain,
    ( ! [X0] :
        ( segmentP(app(sF3,X0),sF1)
        | ~ ssList(app(sF3,X0))
        | ~ ssList(sF2)
        | ~ ssList(X0) )
    | ~ spl4_8 ),
    inference(subsumption_resolution,[],[f1050,f253]) ).

fof(f1050,plain,
    ! [X0] :
      ( segmentP(app(sF3,X0),sF1)
      | ~ ssList(app(sF3,X0))
      | ~ ssList(sF1)
      | ~ ssList(sF2)
      | ~ ssList(X0) ),
    inference(superposition,[],[f207,f214]) ).

fof(f207,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/sandbox2/benchmark/theBenchmark.p',clause173) ).

fof(f1696,plain,
    ( segmentP(sk3,sF1)
    | ~ ssList(sF2)
    | spl4_1
    | ~ spl4_8
    | ~ spl4_9
    | ~ spl4_11 ),
    inference(superposition,[],[f1426,f414]) ).

fof(f414,plain,
    ( sk3 = cons(sF0,sF2)
    | spl4_1 ),
    inference(forward_demodulation,[],[f413,f213]) ).

fof(f213,plain,
    tl(sk3) = sF2,
    introduced(function_definition,[new_symbols(definition,[sF2])]) ).

fof(f413,plain,
    ( sk3 = cons(sF0,tl(sk3))
    | spl4_1 ),
    inference(subsumption_resolution,[],[f412,f197]) ).

fof(f197,plain,
    ssList(sk3),
    inference(definition_unfolding,[],[f186,f191]) ).

fof(f186,axiom,
    ssList(sk1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_1) ).

fof(f412,plain,
    ( sk3 = cons(sF0,tl(sk3))
    | ~ ssList(sk3)
    | spl4_1 ),
    inference(subsumption_resolution,[],[f405,f222]) ).

fof(f222,plain,
    ( nil != sk3
    | spl4_1 ),
    inference(avatar_component_clause,[],[f221]) ).

fof(f221,plain,
    ( spl4_1
  <=> nil = sk3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).

fof(f405,plain,
    ( sk3 = cons(sF0,tl(sk3))
    | nil = sk3
    | ~ ssList(sk3) ),
    inference(superposition,[],[f104,f211]) ).

fof(f211,plain,
    hd(sk3) = 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/sandbox2/benchmark/theBenchmark.p',clause104) ).

fof(f1426,plain,
    ( ! [X0] :
        ( segmentP(cons(sF0,X0),sF1)
        | ~ ssList(X0) )
    | ~ spl4_8
    | ~ spl4_9
    | ~ spl4_11 ),
    inference(subsumption_resolution,[],[f1409,f253]) ).

fof(f1409,plain,
    ( ! [X0] :
        ( segmentP(cons(sF0,X0),sF1)
        | ~ ssList(sF1)
        | ~ ssList(X0) )
    | ~ spl4_9
    | ~ spl4_11 ),
    inference(duplicate_literal_removal,[],[f1405]) ).

fof(f1405,plain,
    ( ! [X0] :
        ( segmentP(cons(sF0,X0),sF1)
        | ~ ssList(sF1)
        | ~ ssList(X0)
        | ~ ssList(X0) )
    | ~ spl4_9
    | ~ spl4_11 ),
    inference(superposition,[],[f1068,f460]) ).

fof(f460,plain,
    ( ! [X0] :
        ( cons(sF0,X0) = app(sF1,X0)
        | ~ ssList(X0) )
    | ~ spl4_9 ),
    inference(subsumption_resolution,[],[f453,f257]) ).

fof(f257,plain,
    ( ssItem(sF0)
    | ~ spl4_9 ),
    inference(avatar_component_clause,[],[f256]) ).

fof(f256,plain,
    ( spl4_9
  <=> ssItem(sF0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_9])]) ).

fof(f453,plain,
    ! [X0] :
      ( cons(sF0,X0) = app(sF1,X0)
      | ~ ssList(X0)
      | ~ ssItem(sF0) ),
    inference(superposition,[],[f120,f212]) ).

fof(f212,plain,
    cons(sF0,nil) = sF1,
    introduced(function_definition,[new_symbols(definition,[sF1])]) ).

fof(f120,axiom,
    ! [X0,X1] :
      ( cons(X0,X1) = app(cons(X0,nil),X1)
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).

fof(f1068,plain,
    ( ! [X0,X1] :
        ( segmentP(app(X0,X1),X0)
        | ~ ssList(X0)
        | ~ ssList(X1) )
    | ~ spl4_11 ),
    inference(subsumption_resolution,[],[f1067,f85]) ).

fof(f85,axiom,
    ! [X0,X1] :
      ( ssList(app(X1,X0))
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause85) ).

fof(f1067,plain,
    ( ! [X0,X1] :
        ( segmentP(app(X0,X1),X0)
        | ~ ssList(app(X0,X1))
        | ~ ssList(X0)
        | ~ ssList(X1) )
    | ~ spl4_11 ),
    inference(subsumption_resolution,[],[f1062,f266]) ).

fof(f1062,plain,
    ! [X0,X1] :
      ( segmentP(app(X0,X1),X0)
      | ~ ssList(app(X0,X1))
      | ~ ssList(X0)
      | ~ ssList(nil)
      | ~ ssList(X1) ),
    inference(duplicate_literal_removal,[],[f1043]) ).

fof(f1043,plain,
    ! [X0,X1] :
      ( segmentP(app(X0,X1),X0)
      | ~ ssList(app(X0,X1))
      | ~ ssList(X0)
      | ~ ssList(nil)
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    inference(superposition,[],[f207,f74]) ).

fof(f74,axiom,
    ! [X0] :
      ( app(nil,X0) = X0
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).

fof(f387,plain,
    ( spl4_1
    | spl4_10
    | ~ spl4_11 ),
    inference(avatar_contradiction_clause,[],[f386]) ).

fof(f386,plain,
    ( $false
    | spl4_1
    | spl4_10
    | ~ spl4_11 ),
    inference(subsumption_resolution,[],[f385,f197]) ).

fof(f385,plain,
    ( ~ ssList(sk3)
    | spl4_1
    | spl4_10
    | ~ spl4_11 ),
    inference(subsumption_resolution,[],[f384,f266]) ).

fof(f384,plain,
    ( ~ ssList(nil)
    | ~ ssList(sk3)
    | spl4_1
    | spl4_10 ),
    inference(subsumption_resolution,[],[f383,f222]) ).

fof(f383,plain,
    ( nil = sk3
    | ~ ssList(nil)
    | ~ ssList(sk3)
    | spl4_10 ),
    inference(resolution,[],[f262,f100]) ).

fof(f262,plain,
    ( ~ neq(nil,sk3)
    | spl4_10 ),
    inference(avatar_component_clause,[],[f260]) ).

fof(f260,plain,
    ( spl4_10
  <=> neq(nil,sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_10])]) ).

fof(f371,plain,
    ( ~ spl4_9
    | ~ spl4_18
    | ~ spl4_11 ),
    inference(avatar_split_clause,[],[f370,f265,f366,f256]) ).

fof(f370,plain,
    ( nil != sF1
    | ~ ssItem(sF0)
    | ~ spl4_11 ),
    inference(subsumption_resolution,[],[f308,f266]) ).

fof(f308,plain,
    ( nil != sF1
    | ~ ssItem(sF0)
    | ~ ssList(nil) ),
    inference(superposition,[],[f98,f212]) ).

fof(f98,axiom,
    ! [X0,X1] :
      ( nil != cons(X0,X1)
      | ~ ssItem(X0)
      | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause98) ).

fof(f351,plain,
    ( ~ spl4_9
    | spl4_8
    | ~ spl4_11 ),
    inference(avatar_split_clause,[],[f350,f265,f252,f256]) ).

fof(f350,plain,
    ( ssList(sF1)
    | ~ ssItem(sF0)
    | ~ spl4_11 ),
    inference(subsumption_resolution,[],[f299,f266]) ).

fof(f299,plain,
    ( ssList(sF1)
    | ~ ssList(nil)
    | ~ ssItem(sF0) ),
    inference(superposition,[],[f86,f212]) ).

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

fof(f349,plain,
    ( ~ spl4_1
    | ~ spl4_4
    | ~ spl4_11 ),
    inference(avatar_contradiction_clause,[],[f348]) ).

fof(f348,plain,
    ( $false
    | ~ spl4_1
    | ~ spl4_4
    | ~ spl4_11 ),
    inference(subsumption_resolution,[],[f344,f266]) ).

fof(f344,plain,
    ( ~ ssList(nil)
    | ~ spl4_1
    | ~ spl4_4 ),
    inference(resolution,[],[f329,f216]) ).

fof(f216,plain,
    ! [X1] :
      ( ~ neq(X1,X1)
      | ~ ssList(X1) ),
    inference(duplicate_literal_removal,[],[f210]) ).

fof(f210,plain,
    ! [X1] :
      ( ~ ssList(X1)
      | ~ ssList(X1)
      | ~ neq(X1,X1) ),
    inference(equality_resolution,[],[f115]) ).

fof(f115,axiom,
    ! [X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X1)
      | ~ neq(X0,X1)
      | X0 != X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause115) ).

fof(f329,plain,
    ( neq(nil,nil)
    | ~ spl4_1
    | ~ spl4_4 ),
    inference(forward_demodulation,[],[f237,f223]) ).

fof(f223,plain,
    ( nil = sk3
    | ~ spl4_1 ),
    inference(avatar_component_clause,[],[f221]) ).

fof(f237,plain,
    ( neq(sk3,nil)
    | ~ spl4_4 ),
    inference(avatar_component_clause,[],[f235]) ).

fof(f235,plain,
    ( spl4_4
  <=> neq(sk3,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).

fof(f326,plain,
    ( spl4_2
    | spl4_3
    | ~ spl4_11 ),
    inference(avatar_contradiction_clause,[],[f325]) ).

fof(f325,plain,
    ( $false
    | spl4_2
    | spl4_3
    | ~ spl4_11 ),
    inference(subsumption_resolution,[],[f324,f266]) ).

fof(f324,plain,
    ( ~ ssList(nil)
    | spl4_2
    | spl4_3 ),
    inference(subsumption_resolution,[],[f323,f198]) ).

fof(f323,plain,
    ( ~ ssList(sk4)
    | ~ ssList(nil)
    | spl4_2
    | spl4_3 ),
    inference(subsumption_resolution,[],[f316,f227]) ).

fof(f227,plain,
    ( nil != sk4
    | spl4_2 ),
    inference(avatar_component_clause,[],[f225]) ).

fof(f225,plain,
    ( spl4_2
  <=> nil = sk4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).

fof(f316,plain,
    ( nil = sk4
    | ~ ssList(sk4)
    | ~ ssList(nil)
    | spl4_3 ),
    inference(resolution,[],[f100,f233]) ).

fof(f233,plain,
    ( ~ neq(sk4,nil)
    | spl4_3 ),
    inference(avatar_component_clause,[],[f231]) ).

fof(f231,plain,
    ( spl4_3
  <=> neq(sk4,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).

fof(f298,plain,
    ( ~ spl4_8
    | spl4_5
    | ~ spl4_7 ),
    inference(avatar_split_clause,[],[f297,f248,f240,f252]) ).

fof(f240,plain,
    ( spl4_5
  <=> ssList(sF3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_5])]) ).

fof(f297,plain,
    ( ssList(sF3)
    | ~ ssList(sF1)
    | ~ spl4_7 ),
    inference(subsumption_resolution,[],[f290,f249]) ).

fof(f290,plain,
    ( ssList(sF3)
    | ~ ssList(sF2)
    | ~ ssList(sF1) ),
    inference(superposition,[],[f85,f214]) ).

fof(f284,plain,
    ( spl4_1
    | spl4_9 ),
    inference(avatar_split_clause,[],[f283,f256,f221]) ).

fof(f283,plain,
    ( ssItem(sF0)
    | nil = sk3 ),
    inference(subsumption_resolution,[],[f282,f197]) ).

fof(f282,plain,
    ( ssItem(sF0)
    | nil = sk3
    | ~ ssList(sk3) ),
    inference(superposition,[],[f78,f211]) ).

fof(f78,axiom,
    ! [X0] :
      ( ssItem(hd(X0))
      | nil = X0
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause78) ).

fof(f281,plain,
    ( spl4_1
    | spl4_7 ),
    inference(avatar_split_clause,[],[f280,f248,f221]) ).

fof(f280,plain,
    ( ssList(sF2)
    | nil = sk3 ),
    inference(subsumption_resolution,[],[f279,f197]) ).

fof(f279,plain,
    ( ssList(sF2)
    | nil = sk3
    | ~ ssList(sk3) ),
    inference(superposition,[],[f77,f213]) ).

fof(f77,axiom,
    ! [X0] :
      ( ssList(tl(X0))
      | nil = X0
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause77) ).

fof(f273,plain,
    spl4_11,
    inference(avatar_split_clause,[],[f8,f265]) ).

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

fof(f263,plain,
    ( ~ spl4_3
    | ~ spl4_5
    | spl4_6
    | ~ spl4_7
    | ~ spl4_8
    | ~ spl4_9
    | ~ spl4_10 ),
    inference(avatar_split_clause,[],[f219,f260,f256,f252,f248,f244,f240,f231]) ).

fof(f219,plain,
    ( ~ neq(nil,sk3)
    | ~ ssItem(sF0)
    | ~ ssList(sF1)
    | ~ ssList(sF2)
    | sk4 = sF3
    | ~ ssList(sF3)
    | ~ neq(sk4,nil) ),
    inference(duplicate_literal_removal,[],[f215]) ).

fof(f215,plain,
    ( ~ neq(nil,sk3)
    | ~ neq(nil,sk3)
    | ~ ssItem(sF0)
    | ~ ssList(sF1)
    | ~ ssList(sF2)
    | sk4 = sF3
    | ~ ssList(sF3)
    | ~ neq(sk4,nil) ),
    inference(definition_folding,[],[f204,f214,f212,f211,f213,f214,f212,f211,f213,f213,f212,f211,f211]) ).

fof(f204,plain,
    ( ~ neq(nil,sk3)
    | ~ neq(nil,sk3)
    | ~ ssItem(hd(sk3))
    | ~ ssList(cons(hd(sk3),nil))
    | ~ ssList(tl(sk3))
    | sk4 = app(tl(sk3),cons(hd(sk3),nil))
    | ~ ssList(app(tl(sk3),cons(hd(sk3),nil)))
    | ~ neq(sk4,nil) ),
    inference(equality_resolution,[],[f203]) ).

fof(f203,plain,
    ! [X7] :
      ( ~ neq(nil,sk3)
      | ~ neq(nil,sk3)
      | ~ ssItem(hd(sk3))
      | tl(sk3) != X7
      | ~ ssList(cons(hd(sk3),nil))
      | ~ ssList(X7)
      | sk4 = app(X7,cons(hd(sk3),nil))
      | ~ ssList(app(X7,cons(hd(sk3),nil)))
      | ~ neq(sk4,nil) ),
    inference(equality_resolution,[],[f202]) ).

fof(f202,plain,
    ! [X6,X7] :
      ( ~ neq(nil,sk3)
      | ~ neq(nil,sk3)
      | ~ ssItem(hd(sk3))
      | app(X7,cons(hd(sk3),nil)) != X6
      | tl(sk3) != X7
      | ~ ssList(cons(hd(sk3),nil))
      | ~ ssList(X7)
      | sk4 = X6
      | ~ ssList(X6)
      | ~ neq(sk4,nil) ),
    inference(equality_resolution,[],[f201]) ).

fof(f201,plain,
    ! [X8,X6,X7] :
      ( ~ neq(nil,sk3)
      | ~ neq(nil,sk3)
      | cons(hd(sk3),nil) != X8
      | ~ ssItem(hd(sk3))
      | app(X7,X8) != X6
      | tl(sk3) != X7
      | ~ ssList(X8)
      | ~ ssList(X7)
      | sk4 = X6
      | ~ ssList(X6)
      | ~ neq(sk4,nil) ),
    inference(equality_resolution,[],[f196]) ).

fof(f196,axiom,
    ! [X8,X6,X9,X7] :
      ( ~ neq(nil,sk3)
      | ~ neq(nil,sk3)
      | hd(sk3) != X9
      | cons(X9,nil) != X8
      | ~ ssItem(X9)
      | app(X7,X8) != X6
      | tl(sk3) != X7
      | ~ ssList(X8)
      | ~ ssList(X7)
      | sk4 = X6
      | ~ ssList(X6)
      | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).

fof(f238,plain,
    ( ~ spl4_3
    | spl4_4 ),
    inference(avatar_split_clause,[],[f195,f235,f231]) ).

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

fof(f229,plain,
    ( ~ spl4_2
    | ~ spl4_1 ),
    inference(avatar_split_clause,[],[f200,f221,f225]) ).

fof(f200,plain,
    ( nil != sk3
    | nil != sk4 ),
    inference(definition_unfolding,[],[f194,f191,f190]) ).

fof(f194,axiom,
    ( nil != sk1
    | nil != sk2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).

fof(f228,plain,
    ( spl4_1
    | ~ spl4_2 ),
    inference(avatar_split_clause,[],[f193,f225,f221]) ).

fof(f193,axiom,
    ( nil != sk4
    | nil = sk3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SWC073-1 : TPTP v8.2.0. 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.37  % Computer : n015.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit   : 300
% 0.15/0.37  % WCLimit    : 300
% 0.15/0.37  % DateTime   : Sun May 19 03:06:08 EDT 2024
% 0.15/0.37  % CPUTime    : 
% 0.15/0.37  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.15/0.37  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.62/0.77  % (8549)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.62/0.77  % (8545)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 theBenchmark for (2996ds/51Mi)
% 0.62/0.77  % (8551)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.62/0.77  % (8550)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 theBenchmark for (2996ds/83Mi)
% 0.62/0.77  % (8544)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 theBenchmark for (2996ds/34Mi)
% 0.62/0.77  % (8546)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.62/0.77  % (8547)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.62/0.77  % (8548)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 theBenchmark for (2996ds/34Mi)
% 0.62/0.78  % (8549)Instruction limit reached!
% 0.62/0.78  % (8549)------------------------------
% 0.62/0.78  % (8549)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.78  % (8549)Termination reason: Unknown
% 0.62/0.78  % (8549)Termination phase: Saturation
% 0.62/0.78  
% 0.62/0.78  % (8549)Memory used [KB]: 1641
% 0.62/0.78  % (8549)Time elapsed: 0.017 s
% 0.62/0.78  % (8549)Instructions burned: 46 (million)
% 0.62/0.78  % (8549)------------------------------
% 0.62/0.78  % (8549)------------------------------
% 0.62/0.79  % (8548)Instruction limit reached!
% 0.62/0.79  % (8548)------------------------------
% 0.62/0.79  % (8548)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.79  % (8548)Termination reason: Unknown
% 0.62/0.79  % (8548)Termination phase: Saturation
% 0.62/0.79  
% 0.62/0.79  % (8548)Memory used [KB]: 1734
% 0.62/0.79  % (8548)Time elapsed: 0.018 s
% 0.62/0.79  % (8548)Instructions burned: 34 (million)
% 0.62/0.79  % (8548)------------------------------
% 0.62/0.79  % (8548)------------------------------
% 0.62/0.79  % (8552)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 theBenchmark for (2995ds/55Mi)
% 0.62/0.79  % (8544)Instruction limit reached!
% 0.62/0.79  % (8544)------------------------------
% 0.62/0.79  % (8544)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.79  % (8544)Termination reason: Unknown
% 0.62/0.79  % (8544)Termination phase: Saturation
% 0.62/0.79  
% 0.62/0.79  % (8544)Memory used [KB]: 1660
% 0.62/0.79  % (8544)Time elapsed: 0.022 s
% 0.62/0.79  % (8544)Instructions burned: 34 (million)
% 0.62/0.79  % (8544)------------------------------
% 0.62/0.79  % (8544)------------------------------
% 0.62/0.79  % (8553)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 theBenchmark for (2995ds/50Mi)
% 0.62/0.79  % (8551)Instruction limit reached!
% 0.62/0.79  % (8551)------------------------------
% 0.62/0.79  % (8551)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.79  % (8551)Termination reason: Unknown
% 0.62/0.79  % (8551)Termination phase: Saturation
% 0.62/0.79  
% 0.62/0.79  % (8551)Memory used [KB]: 1641
% 0.62/0.79  % (8551)Time elapsed: 0.026 s
% 0.62/0.79  % (8551)Instructions burned: 56 (million)
% 0.62/0.79  % (8551)------------------------------
% 0.62/0.79  % (8551)------------------------------
% 0.62/0.79  % (8554)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2995ds/208Mi)
% 0.62/0.80  % (8545)Instruction limit reached!
% 0.62/0.80  % (8545)------------------------------
% 0.62/0.80  % (8545)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.80  % (8545)Termination reason: Unknown
% 0.62/0.80  % (8545)Termination phase: Saturation
% 0.62/0.80  % (8555)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 theBenchmark for (2995ds/52Mi)
% 0.62/0.80  
% 0.62/0.80  % (8545)Memory used [KB]: 1990
% 0.62/0.80  % (8545)Time elapsed: 0.031 s
% 0.62/0.80  % (8545)Instructions burned: 51 (million)
% 0.62/0.80  % (8545)------------------------------
% 0.62/0.80  % (8545)------------------------------
% 0.62/0.80  % (8556)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 theBenchmark for (2995ds/518Mi)
% 0.62/0.80  % (8547)Instruction limit reached!
% 0.62/0.80  % (8547)------------------------------
% 0.62/0.80  % (8547)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.80  % (8547)Termination reason: Unknown
% 0.62/0.80  % (8547)Termination phase: Saturation
% 0.62/0.80  
% 0.62/0.80  % (8547)Memory used [KB]: 1621
% 0.62/0.80  % (8547)Time elapsed: 0.035 s
% 0.62/0.80  % (8547)Instructions burned: 33 (million)
% 0.62/0.80  % (8547)------------------------------
% 0.62/0.80  % (8547)------------------------------
% 0.62/0.80  % (8550)Instruction limit reached!
% 0.62/0.80  % (8550)------------------------------
% 0.62/0.80  % (8550)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.80  % (8550)Termination reason: Unknown
% 0.62/0.80  % (8550)Termination phase: Saturation
% 0.62/0.80  
% 0.62/0.80  % (8550)Memory used [KB]: 2080
% 0.62/0.80  % (8550)Time elapsed: 0.039 s
% 0.62/0.80  % (8550)Instructions burned: 83 (million)
% 0.62/0.80  % (8550)------------------------------
% 0.62/0.80  % (8550)------------------------------
% 0.62/0.81  % (8552)Instruction limit reached!
% 0.62/0.81  % (8552)------------------------------
% 0.62/0.81  % (8552)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.81  % (8552)Termination reason: Unknown
% 0.62/0.81  % (8552)Termination phase: Saturation
% 0.62/0.81  
% 0.62/0.81  % (8552)Memory used [KB]: 2095
% 0.62/0.81  % (8552)Time elapsed: 0.019 s
% 0.62/0.81  % (8552)Instructions burned: 57 (million)
% 0.62/0.81  % (8552)------------------------------
% 0.62/0.81  % (8552)------------------------------
% 0.62/0.81  % (8559)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on theBenchmark for (2995ds/117Mi)
% 0.62/0.81  % (8557)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 theBenchmark for (2995ds/42Mi)
% 0.62/0.81  % (8553)Instruction limit reached!
% 0.62/0.81  % (8553)------------------------------
% 0.62/0.81  % (8553)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.81  % (8553)Termination reason: Unknown
% 0.62/0.81  % (8553)Termination phase: Saturation
% 0.62/0.81  
% 0.62/0.81  % (8553)Memory used [KB]: 1720
% 0.62/0.81  % (8553)Time elapsed: 0.026 s
% 0.62/0.81  % (8553)Instructions burned: 52 (million)
% 0.62/0.81  % (8553)------------------------------
% 0.62/0.81  % (8553)------------------------------
% 0.62/0.82  % (8560)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on theBenchmark for (2995ds/143Mi)
% 0.62/0.83  % (8555)Instruction limit reached!
% 0.62/0.83  % (8555)------------------------------
% 0.62/0.83  % (8555)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.83  % (8555)Termination reason: Unknown
% 0.62/0.83  % (8555)Termination phase: Saturation
% 0.62/0.83  
% 0.62/0.83  % (8555)Memory used [KB]: 1808
% 0.62/0.83  % (8555)Time elapsed: 0.032 s
% 0.62/0.83  % (8555)Instructions burned: 52 (million)
% 0.62/0.83  % (8555)------------------------------
% 0.62/0.83  % (8555)------------------------------
% 0.62/0.83  % (8557)Instruction limit reached!
% 0.62/0.83  % (8557)------------------------------
% 0.62/0.83  % (8557)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.83  % (8557)Termination reason: Unknown
% 0.62/0.83  % (8557)Termination phase: Saturation
% 0.62/0.83  
% 0.62/0.83  % (8557)Memory used [KB]: 1533
% 0.62/0.83  % (8557)Time elapsed: 0.021 s
% 0.62/0.83  % (8557)Instructions burned: 43 (million)
% 0.62/0.83  % (8557)------------------------------
% 0.62/0.83  % (8557)------------------------------
% 0.62/0.83  % (8558)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 theBenchmark for (2995ds/243Mi)
% 0.62/0.83  % (8562)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on theBenchmark for (2995ds/62Mi)
% 0.62/0.83  % (8554)First to succeed.
% 0.62/0.84  % (8561)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on theBenchmark for (2995ds/93Mi)
% 0.62/0.84  % (8554)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-8543"
% 0.62/0.84  % (8554)Refutation found. Thanks to Tanya!
% 0.62/0.84  % SZS status Unsatisfiable for theBenchmark
% 0.62/0.84  % SZS output start Proof for theBenchmark
% See solution above
% 0.62/0.84  % (8554)------------------------------
% 0.62/0.84  % (8554)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.84  % (8554)Termination reason: Refutation
% 0.62/0.84  
% 0.62/0.84  % (8554)Memory used [KB]: 1636
% 0.62/0.84  % (8554)Time elapsed: 0.047 s
% 0.62/0.84  % (8554)Instructions burned: 65 (million)
% 0.62/0.84  % (8543)Success in time 0.456 s
% 0.62/0.84  % Vampire---4.8 exiting
%------------------------------------------------------------------------------