TSTP Solution File: SWC343-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWC343-1 : 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 : n029.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 : Sun May  5 09:50:28 EDT 2024

% Result   : Unsatisfiable 0.59s 0.76s
% Output   : Refutation 0.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   30
% Syntax   : Number of formulae    :   96 (   6 unt;   0 def)
%            Number of atoms       :  436 ( 146 equ)
%            Maximal formula atoms :   11 (   4 avg)
%            Number of connectives :  658 ( 318   ~; 331   |;   0   &)
%                                         (   9 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   6 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   15 (  13 usr;  10 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   6 con; 0-2 aty)
%            Number of variables   :   79 (  79   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f322,plain,
    $false,
    inference(avatar_sat_refutation,[],[f242,f247,f249,f254,f259,f264,f269,f274,f279,f281,f283,f285,f287,f289,f291,f321]) ).

fof(f321,plain,
    ( ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f320]) ).

fof(f320,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f319,f193]) ).

fof(f193,axiom,
    sk4 = app(sk3,sk5),
    file('/export/starexec/sandbox/tmp/tmp.gwFcrKPi0g/Vampire---4.8_6827',co1_8) ).

fof(f319,plain,
    ( sk4 != app(sk3,sk5)
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f318,f192]) ).

fof(f192,axiom,
    ssList(sk5),
    file('/export/starexec/sandbox/tmp/tmp.gwFcrKPi0g/Vampire---4.8_6827',co1_7) ).

fof(f318,plain,
    ( ~ ssList(sk5)
    | sk4 != app(sk3,sk5)
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(duplicate_literal_removal,[],[f317]) ).

fof(f317,plain,
    ( ~ ssList(sk5)
    | sk4 != app(sk3,sk5)
    | ~ ssList(sk5)
    | sk4 != app(sk3,sk5)
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(resolution,[],[f316,f278]) ).

fof(f278,plain,
    ( ! [X6] :
        ( lt(sk8(X6),sk6(X6))
        | ~ ssList(X6)
        | sk4 != app(sk3,X6) )
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f277]) ).

fof(f277,plain,
    ( spl0_9
  <=> ! [X6] :
        ( lt(sk8(X6),sk6(X6))
        | ~ ssList(X6)
        | sk4 != app(sk3,X6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f316,plain,
    ( ! [X0] :
        ( ~ lt(sk8(X0),sk6(sk5))
        | ~ ssList(X0)
        | sk4 != app(sk3,X0) )
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f315,f263]) ).

fof(f263,plain,
    ( ! [X6] :
        ( ssItem(sk8(X6))
        | ~ ssList(X6)
        | sk4 != app(sk3,X6) )
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f262]) ).

fof(f262,plain,
    ( spl0_6
  <=> ! [X6] :
        ( ssItem(sk8(X6))
        | ~ ssList(X6)
        | sk4 != app(sk3,X6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f315,plain,
    ( ! [X0] :
        ( ~ ssItem(sk8(X0))
        | ~ lt(sk8(X0),sk6(sk5))
        | ~ ssList(X0)
        | sk4 != app(sk3,X0) )
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f314,f268]) ).

fof(f268,plain,
    ( ! [X6] :
        ( ssList(sk9(X6))
        | ~ ssList(X6)
        | sk4 != app(sk3,X6) )
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f267]) ).

fof(f267,plain,
    ( spl0_7
  <=> ! [X6] :
        ( ssList(sk9(X6))
        | ~ ssList(X6)
        | sk4 != app(sk3,X6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f314,plain,
    ( ! [X0] :
        ( ~ ssList(sk9(X0))
        | ~ ssItem(sk8(X0))
        | ~ lt(sk8(X0),sk6(sk5))
        | ~ ssList(X0)
        | sk4 != app(sk3,X0) )
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(trivial_inequality_removal,[],[f313]) ).

fof(f313,plain,
    ( ! [X0] :
        ( sk3 != sk3
        | ~ ssList(sk9(X0))
        | ~ ssItem(sk8(X0))
        | ~ lt(sk8(X0),sk6(sk5))
        | ~ ssList(X0)
        | sk4 != app(sk3,X0) )
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(superposition,[],[f312,f273]) ).

fof(f273,plain,
    ( ! [X6] :
        ( sk3 = app(sk9(X6),cons(sk8(X6),nil))
        | ~ ssList(X6)
        | sk4 != app(sk3,X6) )
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f272]) ).

fof(f272,plain,
    ( spl0_8
  <=> ! [X6] :
        ( sk3 = app(sk9(X6),cons(sk8(X6),nil))
        | ~ ssList(X6)
        | sk4 != app(sk3,X6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f312,plain,
    ( ! [X0,X1] :
        ( sk3 != app(X0,cons(X1,nil))
        | ~ ssList(X0)
        | ~ ssItem(X1)
        | ~ lt(X1,sk6(sk5)) )
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f311,f192]) ).

fof(f311,plain,
    ( ! [X0,X1] :
        ( sk3 != app(X0,cons(X1,nil))
        | ~ ssList(X0)
        | ~ ssItem(X1)
        | ~ lt(X1,sk6(sk5))
        | ~ ssList(sk5) )
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(trivial_inequality_removal,[],[f310]) ).

fof(f310,plain,
    ( ! [X0,X1] :
        ( sk4 != sk4
        | sk3 != app(X0,cons(X1,nil))
        | ~ ssList(X0)
        | ~ ssItem(X1)
        | ~ lt(X1,sk6(sk5))
        | ~ ssList(sk5)
        | sk5 != sk5 )
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(superposition,[],[f309,f193]) ).

fof(f309,plain,
    ( ! [X2,X0,X1] :
        ( sk4 != app(sk3,X0)
        | sk3 != app(X1,cons(X2,nil))
        | ~ ssList(X1)
        | ~ ssItem(X2)
        | ~ lt(X2,sk6(X0))
        | ~ ssList(X0)
        | sk5 != X0 )
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f308,f246]) ).

fof(f246,plain,
    ( ! [X6] :
        ( ssItem(sk6(X6))
        | ~ ssList(X6)
        | sk4 != app(sk3,X6) )
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f245]) ).

fof(f245,plain,
    ( spl0_3
  <=> ! [X6] :
        ( ssItem(sk6(X6))
        | ~ ssList(X6)
        | sk4 != app(sk3,X6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f308,plain,
    ( ! [X2,X0,X1] :
        ( sk5 != X0
        | sk3 != app(X1,cons(X2,nil))
        | ~ ssList(X1)
        | ~ ssItem(X2)
        | ~ lt(X2,sk6(X0))
        | ~ ssItem(sk6(X0))
        | ~ ssList(X0)
        | sk4 != app(sk3,X0) )
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f307,f253]) ).

fof(f253,plain,
    ( ! [X6] :
        ( ssList(sk7(X6))
        | ~ ssList(X6)
        | sk4 != app(sk3,X6) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f252]) ).

fof(f252,plain,
    ( spl0_4
  <=> ! [X6] :
        ( ssList(sk7(X6))
        | ~ ssList(X6)
        | sk4 != app(sk3,X6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f307,plain,
    ( ! [X2,X0,X1] :
        ( sk5 != X0
        | sk3 != app(X1,cons(X2,nil))
        | ~ ssList(X1)
        | ~ ssItem(X2)
        | ~ lt(X2,sk6(X0))
        | ~ ssList(sk7(X0))
        | ~ ssItem(sk6(X0))
        | ~ ssList(X0)
        | sk4 != app(sk3,X0) )
    | ~ spl0_5 ),
    inference(superposition,[],[f195,f258]) ).

fof(f258,plain,
    ( ! [X6] :
        ( app(cons(sk6(X6),nil),sk7(X6)) = X6
        | ~ ssList(X6)
        | sk4 != app(sk3,X6) )
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f257]) ).

fof(f257,plain,
    ( spl0_5
  <=> ! [X6] :
        ( app(cons(sk6(X6),nil),sk7(X6)) = X6
        | ~ ssList(X6)
        | sk4 != app(sk3,X6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f195,axiom,
    ! [X8,X6,X9,X7] :
      ( sk5 != app(cons(X6,nil),X7)
      | sk3 != app(X9,cons(X8,nil))
      | ~ ssList(X9)
      | ~ ssItem(X8)
      | ~ lt(X8,X6)
      | ~ ssList(X7)
      | ~ ssItem(X6) ),
    file('/export/starexec/sandbox/tmp/tmp.gwFcrKPi0g/Vampire---4.8_6827',co1_10) ).

fof(f291,plain,
    ( spl0_9
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f290,f235,f277]) ).

fof(f235,plain,
    ( spl0_1
  <=> nil = sk4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f290,plain,
    ! [X6] :
      ( nil != sk4
      | lt(sk8(X6),sk6(X6))
      | sk4 != app(sk3,X6)
      | ~ ssList(X6) ),
    inference(subsumption_resolution,[],[f226,f194]) ).

fof(f194,axiom,
    strictorderedP(sk3),
    file('/export/starexec/sandbox/tmp/tmp.gwFcrKPi0g/Vampire---4.8_6827',co1_9) ).

fof(f226,plain,
    ! [X6] :
      ( nil != sk4
      | ~ strictorderedP(sk3)
      | lt(sk8(X6),sk6(X6))
      | sk4 != app(sk3,X6)
      | ~ ssList(X6) ),
    inference(definition_unfolding,[],[f210,f190,f191,f190,f191]) ).

fof(f191,axiom,
    sk1 = sk3,
    file('/export/starexec/sandbox/tmp/tmp.gwFcrKPi0g/Vampire---4.8_6827',co1_6) ).

fof(f190,axiom,
    sk2 = sk4,
    file('/export/starexec/sandbox/tmp/tmp.gwFcrKPi0g/Vampire---4.8_6827',co1_5) ).

fof(f210,axiom,
    ! [X6] :
      ( nil != sk2
      | ~ strictorderedP(sk1)
      | lt(sk8(X6),sk6(X6))
      | sk2 != app(sk1,X6)
      | ~ ssList(X6) ),
    file('/export/starexec/sandbox/tmp/tmp.gwFcrKPi0g/Vampire---4.8_6827',co1_25) ).

fof(f289,plain,
    ( spl0_8
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f288,f235,f272]) ).

fof(f288,plain,
    ! [X6] :
      ( nil != sk4
      | sk3 = app(sk9(X6),cons(sk8(X6),nil))
      | sk4 != app(sk3,X6)
      | ~ ssList(X6) ),
    inference(subsumption_resolution,[],[f225,f194]) ).

fof(f225,plain,
    ! [X6] :
      ( nil != sk4
      | ~ strictorderedP(sk3)
      | sk3 = app(sk9(X6),cons(sk8(X6),nil))
      | sk4 != app(sk3,X6)
      | ~ ssList(X6) ),
    inference(definition_unfolding,[],[f209,f190,f191,f191,f190,f191]) ).

fof(f209,axiom,
    ! [X6] :
      ( nil != sk2
      | ~ strictorderedP(sk1)
      | sk1 = app(sk9(X6),cons(sk8(X6),nil))
      | sk2 != app(sk1,X6)
      | ~ ssList(X6) ),
    file('/export/starexec/sandbox/tmp/tmp.gwFcrKPi0g/Vampire---4.8_6827',co1_24) ).

fof(f287,plain,
    ( spl0_7
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f286,f235,f267]) ).

fof(f286,plain,
    ! [X6] :
      ( nil != sk4
      | ssList(sk9(X6))
      | sk4 != app(sk3,X6)
      | ~ ssList(X6) ),
    inference(subsumption_resolution,[],[f224,f194]) ).

fof(f224,plain,
    ! [X6] :
      ( nil != sk4
      | ~ strictorderedP(sk3)
      | ssList(sk9(X6))
      | sk4 != app(sk3,X6)
      | ~ ssList(X6) ),
    inference(definition_unfolding,[],[f208,f190,f191,f190,f191]) ).

fof(f208,axiom,
    ! [X6] :
      ( nil != sk2
      | ~ strictorderedP(sk1)
      | ssList(sk9(X6))
      | sk2 != app(sk1,X6)
      | ~ ssList(X6) ),
    file('/export/starexec/sandbox/tmp/tmp.gwFcrKPi0g/Vampire---4.8_6827',co1_23) ).

fof(f285,plain,
    ( spl0_6
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f284,f235,f262]) ).

fof(f284,plain,
    ! [X6] :
      ( nil != sk4
      | ssItem(sk8(X6))
      | sk4 != app(sk3,X6)
      | ~ ssList(X6) ),
    inference(subsumption_resolution,[],[f223,f194]) ).

fof(f223,plain,
    ! [X6] :
      ( nil != sk4
      | ~ strictorderedP(sk3)
      | ssItem(sk8(X6))
      | sk4 != app(sk3,X6)
      | ~ ssList(X6) ),
    inference(definition_unfolding,[],[f207,f190,f191,f190,f191]) ).

fof(f207,axiom,
    ! [X6] :
      ( nil != sk2
      | ~ strictorderedP(sk1)
      | ssItem(sk8(X6))
      | sk2 != app(sk1,X6)
      | ~ ssList(X6) ),
    file('/export/starexec/sandbox/tmp/tmp.gwFcrKPi0g/Vampire---4.8_6827',co1_22) ).

fof(f283,plain,
    ( spl0_5
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f282,f235,f257]) ).

fof(f282,plain,
    ! [X6] :
      ( nil != sk4
      | app(cons(sk6(X6),nil),sk7(X6)) = X6
      | sk4 != app(sk3,X6)
      | ~ ssList(X6) ),
    inference(subsumption_resolution,[],[f222,f194]) ).

fof(f222,plain,
    ! [X6] :
      ( nil != sk4
      | ~ strictorderedP(sk3)
      | app(cons(sk6(X6),nil),sk7(X6)) = X6
      | sk4 != app(sk3,X6)
      | ~ ssList(X6) ),
    inference(definition_unfolding,[],[f206,f190,f191,f190,f191]) ).

fof(f206,axiom,
    ! [X6] :
      ( nil != sk2
      | ~ strictorderedP(sk1)
      | app(cons(sk6(X6),nil),sk7(X6)) = X6
      | sk2 != app(sk1,X6)
      | ~ ssList(X6) ),
    file('/export/starexec/sandbox/tmp/tmp.gwFcrKPi0g/Vampire---4.8_6827',co1_21) ).

fof(f281,plain,
    ( spl0_4
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f280,f235,f252]) ).

fof(f280,plain,
    ! [X6] :
      ( nil != sk4
      | ssList(sk7(X6))
      | sk4 != app(sk3,X6)
      | ~ ssList(X6) ),
    inference(subsumption_resolution,[],[f221,f194]) ).

fof(f221,plain,
    ! [X6] :
      ( nil != sk4
      | ~ strictorderedP(sk3)
      | ssList(sk7(X6))
      | sk4 != app(sk3,X6)
      | ~ ssList(X6) ),
    inference(definition_unfolding,[],[f205,f190,f191,f190,f191]) ).

fof(f205,axiom,
    ! [X6] :
      ( nil != sk2
      | ~ strictorderedP(sk1)
      | ssList(sk7(X6))
      | sk2 != app(sk1,X6)
      | ~ ssList(X6) ),
    file('/export/starexec/sandbox/tmp/tmp.gwFcrKPi0g/Vampire---4.8_6827',co1_20) ).

fof(f279,plain,
    ( spl0_9
    | spl0_2 ),
    inference(avatar_split_clause,[],[f275,f239,f277]) ).

fof(f239,plain,
    ( spl0_2
  <=> nil = sk3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f275,plain,
    ! [X6] :
      ( nil = sk3
      | lt(sk8(X6),sk6(X6))
      | sk4 != app(sk3,X6)
      | ~ ssList(X6) ),
    inference(subsumption_resolution,[],[f220,f194]) ).

fof(f220,plain,
    ! [X6] :
      ( nil = sk3
      | ~ strictorderedP(sk3)
      | lt(sk8(X6),sk6(X6))
      | sk4 != app(sk3,X6)
      | ~ ssList(X6) ),
    inference(definition_unfolding,[],[f204,f191,f191,f190,f191]) ).

fof(f204,axiom,
    ! [X6] :
      ( nil = sk1
      | ~ strictorderedP(sk1)
      | lt(sk8(X6),sk6(X6))
      | sk2 != app(sk1,X6)
      | ~ ssList(X6) ),
    file('/export/starexec/sandbox/tmp/tmp.gwFcrKPi0g/Vampire---4.8_6827',co1_19) ).

fof(f274,plain,
    ( spl0_8
    | spl0_2 ),
    inference(avatar_split_clause,[],[f270,f239,f272]) ).

fof(f270,plain,
    ! [X6] :
      ( nil = sk3
      | sk3 = app(sk9(X6),cons(sk8(X6),nil))
      | sk4 != app(sk3,X6)
      | ~ ssList(X6) ),
    inference(subsumption_resolution,[],[f219,f194]) ).

fof(f219,plain,
    ! [X6] :
      ( nil = sk3
      | ~ strictorderedP(sk3)
      | sk3 = app(sk9(X6),cons(sk8(X6),nil))
      | sk4 != app(sk3,X6)
      | ~ ssList(X6) ),
    inference(definition_unfolding,[],[f203,f191,f191,f191,f190,f191]) ).

fof(f203,axiom,
    ! [X6] :
      ( nil = sk1
      | ~ strictorderedP(sk1)
      | sk1 = app(sk9(X6),cons(sk8(X6),nil))
      | sk2 != app(sk1,X6)
      | ~ ssList(X6) ),
    file('/export/starexec/sandbox/tmp/tmp.gwFcrKPi0g/Vampire---4.8_6827',co1_18) ).

fof(f269,plain,
    ( spl0_7
    | spl0_2 ),
    inference(avatar_split_clause,[],[f265,f239,f267]) ).

fof(f265,plain,
    ! [X6] :
      ( nil = sk3
      | ssList(sk9(X6))
      | sk4 != app(sk3,X6)
      | ~ ssList(X6) ),
    inference(subsumption_resolution,[],[f218,f194]) ).

fof(f218,plain,
    ! [X6] :
      ( nil = sk3
      | ~ strictorderedP(sk3)
      | ssList(sk9(X6))
      | sk4 != app(sk3,X6)
      | ~ ssList(X6) ),
    inference(definition_unfolding,[],[f202,f191,f191,f190,f191]) ).

fof(f202,axiom,
    ! [X6] :
      ( nil = sk1
      | ~ strictorderedP(sk1)
      | ssList(sk9(X6))
      | sk2 != app(sk1,X6)
      | ~ ssList(X6) ),
    file('/export/starexec/sandbox/tmp/tmp.gwFcrKPi0g/Vampire---4.8_6827',co1_17) ).

fof(f264,plain,
    ( spl0_6
    | spl0_2 ),
    inference(avatar_split_clause,[],[f260,f239,f262]) ).

fof(f260,plain,
    ! [X6] :
      ( nil = sk3
      | ssItem(sk8(X6))
      | sk4 != app(sk3,X6)
      | ~ ssList(X6) ),
    inference(subsumption_resolution,[],[f217,f194]) ).

fof(f217,plain,
    ! [X6] :
      ( nil = sk3
      | ~ strictorderedP(sk3)
      | ssItem(sk8(X6))
      | sk4 != app(sk3,X6)
      | ~ ssList(X6) ),
    inference(definition_unfolding,[],[f201,f191,f191,f190,f191]) ).

fof(f201,axiom,
    ! [X6] :
      ( nil = sk1
      | ~ strictorderedP(sk1)
      | ssItem(sk8(X6))
      | sk2 != app(sk1,X6)
      | ~ ssList(X6) ),
    file('/export/starexec/sandbox/tmp/tmp.gwFcrKPi0g/Vampire---4.8_6827',co1_16) ).

fof(f259,plain,
    ( spl0_5
    | spl0_2 ),
    inference(avatar_split_clause,[],[f255,f239,f257]) ).

fof(f255,plain,
    ! [X6] :
      ( nil = sk3
      | app(cons(sk6(X6),nil),sk7(X6)) = X6
      | sk4 != app(sk3,X6)
      | ~ ssList(X6) ),
    inference(subsumption_resolution,[],[f216,f194]) ).

fof(f216,plain,
    ! [X6] :
      ( nil = sk3
      | ~ strictorderedP(sk3)
      | app(cons(sk6(X6),nil),sk7(X6)) = X6
      | sk4 != app(sk3,X6)
      | ~ ssList(X6) ),
    inference(definition_unfolding,[],[f200,f191,f191,f190,f191]) ).

fof(f200,axiom,
    ! [X6] :
      ( nil = sk1
      | ~ strictorderedP(sk1)
      | app(cons(sk6(X6),nil),sk7(X6)) = X6
      | sk2 != app(sk1,X6)
      | ~ ssList(X6) ),
    file('/export/starexec/sandbox/tmp/tmp.gwFcrKPi0g/Vampire---4.8_6827',co1_15) ).

fof(f254,plain,
    ( spl0_4
    | spl0_2 ),
    inference(avatar_split_clause,[],[f250,f239,f252]) ).

fof(f250,plain,
    ! [X6] :
      ( nil = sk3
      | ssList(sk7(X6))
      | sk4 != app(sk3,X6)
      | ~ ssList(X6) ),
    inference(subsumption_resolution,[],[f215,f194]) ).

fof(f215,plain,
    ! [X6] :
      ( nil = sk3
      | ~ strictorderedP(sk3)
      | ssList(sk7(X6))
      | sk4 != app(sk3,X6)
      | ~ ssList(X6) ),
    inference(definition_unfolding,[],[f199,f191,f191,f190,f191]) ).

fof(f199,axiom,
    ! [X6] :
      ( nil = sk1
      | ~ strictorderedP(sk1)
      | ssList(sk7(X6))
      | sk2 != app(sk1,X6)
      | ~ ssList(X6) ),
    file('/export/starexec/sandbox/tmp/tmp.gwFcrKPi0g/Vampire---4.8_6827',co1_14) ).

fof(f249,plain,
    ( spl0_3
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f248,f235,f245]) ).

fof(f248,plain,
    ! [X6] :
      ( nil != sk4
      | ssItem(sk6(X6))
      | sk4 != app(sk3,X6)
      | ~ ssList(X6) ),
    inference(subsumption_resolution,[],[f214,f194]) ).

fof(f214,plain,
    ! [X6] :
      ( nil != sk4
      | ~ strictorderedP(sk3)
      | ssItem(sk6(X6))
      | sk4 != app(sk3,X6)
      | ~ ssList(X6) ),
    inference(definition_unfolding,[],[f198,f190,f191,f190,f191]) ).

fof(f198,axiom,
    ! [X6] :
      ( nil != sk2
      | ~ strictorderedP(sk1)
      | ssItem(sk6(X6))
      | sk2 != app(sk1,X6)
      | ~ ssList(X6) ),
    file('/export/starexec/sandbox/tmp/tmp.gwFcrKPi0g/Vampire---4.8_6827',co1_13) ).

fof(f247,plain,
    ( spl0_3
    | spl0_2 ),
    inference(avatar_split_clause,[],[f243,f239,f245]) ).

fof(f243,plain,
    ! [X6] :
      ( nil = sk3
      | ssItem(sk6(X6))
      | sk4 != app(sk3,X6)
      | ~ ssList(X6) ),
    inference(subsumption_resolution,[],[f213,f194]) ).

fof(f213,plain,
    ! [X6] :
      ( nil = sk3
      | ~ strictorderedP(sk3)
      | ssItem(sk6(X6))
      | sk4 != app(sk3,X6)
      | ~ ssList(X6) ),
    inference(definition_unfolding,[],[f197,f191,f191,f190,f191]) ).

fof(f197,axiom,
    ! [X6] :
      ( nil = sk1
      | ~ strictorderedP(sk1)
      | ssItem(sk6(X6))
      | sk2 != app(sk1,X6)
      | ~ ssList(X6) ),
    file('/export/starexec/sandbox/tmp/tmp.gwFcrKPi0g/Vampire---4.8_6827',co1_12) ).

fof(f242,plain,
    ( spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f196,f239,f235]) ).

fof(f196,axiom,
    ( nil != sk3
    | nil = sk4 ),
    file('/export/starexec/sandbox/tmp/tmp.gwFcrKPi0g/Vampire---4.8_6827',co1_11) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SWC343-1 : 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
% 0.14/0.36  % Computer : n029.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Fri May  3 20:33:08 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.14/0.36  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.gwFcrKPi0g/Vampire---4.8_6827
% 0.53/0.75  % (6943)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)
% 0.53/0.75  % (6936)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)
% 0.53/0.75  % (6939)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)
% 0.53/0.75  % (6937)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)
% 0.53/0.75  % (6940)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)
% 0.53/0.75  % (6938)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.53/0.75  % (6941)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)
% 0.53/0.75  % (6942)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)
% 0.59/0.75  % (6938)First to succeed.
% 0.59/0.75  % (6938)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-6934"
% 0.59/0.76  % (6938)Refutation found. Thanks to Tanya!
% 0.59/0.76  % SZS status Unsatisfiable for Vampire---4
% 0.59/0.76  % SZS output start Proof for Vampire---4
% See solution above
% 0.59/0.76  % (6938)------------------------------
% 0.59/0.76  % (6938)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.76  % (6938)Termination reason: Refutation
% 0.59/0.76  
% 0.59/0.76  % (6938)Memory used [KB]: 1213
% 0.59/0.76  % (6938)Time elapsed: 0.008 s
% 0.59/0.76  % (6938)Instructions burned: 11 (million)
% 0.59/0.76  % (6934)Success in time 0.382 s
% 0.59/0.76  % Vampire---4.8 exiting
%------------------------------------------------------------------------------