TSTP Solution File: SWC340-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWC340-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n008.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 18:43:15 EDT 2022

% Result   : Unsatisfiable 6.19s 1.19s
% Output   : Refutation 6.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :  105
% Syntax   : Number of formulae    :  230 (  52 unt;   0 def)
%            Number of atoms       :  656 (  47 equ)
%            Maximal formula atoms :    9 (   2 avg)
%            Number of connectives :  783 ( 357   ~; 366   |;   0   &)
%                                         (  60 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   4 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :   76 (  74 usr;  61 prp; 0-2 aty)
%            Number of functors    :   19 (  19 usr;   7 con; 0-2 aty)
%            Number of variables   :  127 ( 127   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f653,plain,
    $false,
    inference(avatar_smt_refutation,[],[f235,f244,f249,f254,f259,f260,f265,f270,f278,f279,f280,f285,f290,f295,f300,f305,f306,f313,f318,f323,f328,f329,f334,f361,f380,f392,f401,f414,f424,f463,f475,f479,f483,f487,f489,f491,f493,f495,f511,f516,f521,f523,f539,f544,f561,f565,f577,f581,f588,f595,f597,f607,f612,f621,f630,f644,f650,f652]) ).

fof(f652,plain,
    ( ~ spl0_8
    | spl0_3
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f651,f641,f237,f262]) ).

fof(f262,plain,
    ( spl0_8
  <=> ssList(sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f237,plain,
    ( spl0_3
  <=> totalorderedP(sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f641,plain,
    ( spl0_59
  <=> leq(skaf64(sk3),skaf65(sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f651,plain,
    ( totalorderedP(sk3)
    | ~ ssList(sk3)
    | ~ spl0_59 ),
    inference(resolution,[],[f643,f91]) ).

fof(f91,axiom,
    ! [X0] :
      ( ~ leq(skaf64(X0),skaf65(X0))
      | totalorderedP(X0)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause91) ).

fof(f643,plain,
    ( leq(skaf64(sk3),skaf65(sk3))
    | ~ spl0_59 ),
    inference(avatar_component_clause,[],[f641]) ).

fof(f650,plain,
    ( ~ spl0_60
    | ~ spl0_32
    | ~ spl0_35
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f645,f440,f460,f448,f647]) ).

fof(f647,plain,
    ( spl0_60
  <=> lt(skaf65(sk3),skaf64(sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f448,plain,
    ( spl0_32
  <=> ssItem(skaf65(sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f460,plain,
    ( spl0_35
  <=> ssItem(skaf64(sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f440,plain,
    ( spl0_30
  <=> lt(skaf64(sk3),skaf65(sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f645,plain,
    ( ~ ssItem(skaf64(sk3))
    | ~ ssItem(skaf65(sk3))
    | ~ lt(skaf65(sk3),skaf64(sk3))
    | ~ spl0_30 ),
    inference(resolution,[],[f114,f442]) ).

fof(f442,plain,
    ( lt(skaf64(sk3),skaf65(sk3))
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f440]) ).

fof(f114,axiom,
    ! [X0,X1] :
      ( ~ lt(X0,X1)
      | ~ ssItem(X1)
      | ~ lt(X1,X0)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).

fof(f644,plain,
    ( ~ spl0_32
    | spl0_59
    | ~ spl0_35
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f639,f440,f460,f641,f448]) ).

fof(f639,plain,
    ( ~ ssItem(skaf64(sk3))
    | leq(skaf64(sk3),skaf65(sk3))
    | ~ ssItem(skaf65(sk3))
    | ~ spl0_30 ),
    inference(resolution,[],[f103,f442]) ).

fof(f103,axiom,
    ! [X0,X1] :
      ( ~ lt(X0,X1)
      | ~ ssItem(X0)
      | leq(X0,X1)
      | ~ ssItem(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause103) ).

fof(f630,plain,
    ( spl0_57
    | spl0_58
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f600,f465,f627,f623]) ).

fof(f623,plain,
    ( spl0_57
  <=> totalorderedP(cons(skaf65(sk3),skaf68(sk3))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f627,plain,
    ( spl0_58
  <=> cons(skaf65(sk3),skaf68(sk3)) = app(app(skaf66(cons(skaf65(sk3),skaf68(sk3))),cons(skaf64(cons(skaf65(sk3),skaf68(sk3))),skaf67(cons(skaf65(sk3),skaf68(sk3))))),cons(skaf65(cons(skaf65(sk3),skaf68(sk3))),skaf68(cons(skaf65(sk3),skaf68(sk3))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f465,plain,
    ( spl0_36
  <=> ssList(cons(skaf65(sk3),skaf68(sk3))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f600,plain,
    ( cons(skaf65(sk3),skaf68(sk3)) = app(app(skaf66(cons(skaf65(sk3),skaf68(sk3))),cons(skaf64(cons(skaf65(sk3),skaf68(sk3))),skaf67(cons(skaf65(sk3),skaf68(sk3))))),cons(skaf65(cons(skaf65(sk3),skaf68(sk3))),skaf68(cons(skaf65(sk3),skaf68(sk3)))))
    | totalorderedP(cons(skaf65(sk3),skaf68(sk3)))
    | ~ spl0_36 ),
    inference(resolution,[],[f466,f164]) ).

fof(f164,axiom,
    ! [X0] :
      ( ~ ssList(X0)
      | totalorderedP(X0)
      | app(app(skaf66(X0),cons(skaf64(X0),skaf67(X0))),cons(skaf65(X0),skaf68(X0))) = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause164) ).

fof(f466,plain,
    ( ssList(cons(skaf65(sk3),skaf68(sk3)))
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f465]) ).

fof(f621,plain,
    ( spl0_55
    | spl0_56
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f601,f465,f618,f614]) ).

fof(f614,plain,
    ( spl0_55
  <=> cons(skaf65(sk3),skaf68(sk3)) = app(app(skaf71(cons(skaf65(sk3),skaf68(sk3))),cons(skaf69(cons(skaf65(sk3),skaf68(sk3))),skaf72(cons(skaf65(sk3),skaf68(sk3))))),cons(skaf70(cons(skaf65(sk3),skaf68(sk3))),skaf73(cons(skaf65(sk3),skaf68(sk3))))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f618,plain,
    ( spl0_56
  <=> strictorderedP(cons(skaf65(sk3),skaf68(sk3))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f601,plain,
    ( strictorderedP(cons(skaf65(sk3),skaf68(sk3)))
    | cons(skaf65(sk3),skaf68(sk3)) = app(app(skaf71(cons(skaf65(sk3),skaf68(sk3))),cons(skaf69(cons(skaf65(sk3),skaf68(sk3))),skaf72(cons(skaf65(sk3),skaf68(sk3))))),cons(skaf70(cons(skaf65(sk3),skaf68(sk3))),skaf73(cons(skaf65(sk3),skaf68(sk3)))))
    | ~ spl0_36 ),
    inference(resolution,[],[f466,f163]) ).

fof(f163,axiom,
    ! [X0] :
      ( ~ ssList(X0)
      | strictorderedP(X0)
      | app(app(skaf71(X0),cons(skaf69(X0),skaf72(X0))),cons(skaf70(X0),skaf73(X0))) = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause163) ).

fof(f612,plain,
    ( spl0_54
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f599,f465,f609]) ).

fof(f609,plain,
    ( spl0_54
  <=> cons(skaf65(sk3),skaf68(sk3)) = app(cons(skaf65(sk3),skaf68(sk3)),nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f599,plain,
    ( cons(skaf65(sk3),skaf68(sk3)) = app(cons(skaf65(sk3),skaf68(sk3)),nil)
    | ~ spl0_36 ),
    inference(resolution,[],[f466,f73]) ).

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

fof(f607,plain,
    ( spl0_53
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f598,f465,f604]) ).

fof(f604,plain,
    ( spl0_53
  <=> cons(skaf65(sk3),skaf68(sk3)) = app(nil,cons(skaf65(sk3),skaf68(sk3))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f598,plain,
    ( cons(skaf65(sk3),skaf68(sk3)) = app(nil,cons(skaf65(sk3),skaf68(sk3)))
    | ~ spl0_36 ),
    inference(resolution,[],[f466,f74]) ).

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

fof(f597,plain,
    ( ~ spl0_32
    | ~ spl0_34
    | spl0_36 ),
    inference(avatar_split_clause,[],[f596,f465,f456,f448]) ).

fof(f456,plain,
    ( spl0_34
  <=> ssList(skaf68(sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f596,plain,
    ( ~ ssList(skaf68(sk3))
    | ~ ssItem(skaf65(sk3))
    | spl0_36 ),
    inference(resolution,[],[f467,f86]) ).

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

fof(f467,plain,
    ( ~ ssList(cons(skaf65(sk3),skaf68(sk3)))
    | spl0_36 ),
    inference(avatar_component_clause,[],[f465]) ).

fof(f595,plain,
    ( ~ spl0_10
    | ~ spl0_2
    | spl0_52
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f591,f541,f593,f232,f275]) ).

fof(f275,plain,
    ( spl0_10
  <=> ssList(sk4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f232,plain,
    ( spl0_2
  <=> ssList(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f593,plain,
    ( spl0_52
  <=> ! [X2,X1] :
        ( ~ ssList(X1)
        | ~ ssList(X2)
        | ~ segmentP(nil,X2)
        | segmentP(app(X1,sk4),X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f541,plain,
    ( spl0_46
  <=> sk4 = app(nil,sk4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f591,plain,
    ( ! [X2,X1] :
        ( ~ ssList(X1)
        | ~ ssList(nil)
        | segmentP(app(X1,sk4),X2)
        | ~ segmentP(nil,X2)
        | ~ ssList(X2)
        | ~ ssList(sk4) )
    | ~ spl0_46 ),
    inference(superposition,[],[f273,f543]) ).

fof(f543,plain,
    ( sk4 = app(nil,sk4)
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f541]) ).

fof(f273,plain,
    ! [X2,X3,X0,X1] :
      ( segmentP(app(X3,app(X0,X2)),X1)
      | ~ ssList(X2)
      | ~ ssList(X0)
      | ~ segmentP(X0,X1)
      | ~ ssList(X3)
      | ~ ssList(X1) ),
    inference(forward_subsumption_demodulation,[],[f172,f149]) ).

fof(f149,axiom,
    ! [X2,X0,X1] :
      ( ~ ssList(X1)
      | app(app(X2,X1),X0) = app(X2,app(X1,X0))
      | ~ ssList(X0)
      | ~ ssList(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause149) ).

fof(f172,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ ssList(X0)
      | segmentP(app(app(X3,X0),X2),X1)
      | ~ ssList(X2)
      | ~ ssList(X3)
      | ~ segmentP(X0,X1)
      | ~ ssList(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause172) ).

fof(f588,plain,
    ( ~ spl0_2
    | ~ spl0_8
    | spl0_51
    | ~ spl0_45 ),
    inference(avatar_split_clause,[],[f584,f536,f586,f262,f232]) ).

fof(f586,plain,
    ( spl0_51
  <=> ! [X2,X1] :
        ( segmentP(app(X1,sk3),X2)
        | ~ segmentP(nil,X2)
        | ~ ssList(X1)
        | ~ ssList(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f536,plain,
    ( spl0_45
  <=> sk3 = app(nil,sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f584,plain,
    ( ! [X2,X1] :
        ( segmentP(app(X1,sk3),X2)
        | ~ ssList(sk3)
        | ~ ssList(nil)
        | ~ ssList(X2)
        | ~ ssList(X1)
        | ~ segmentP(nil,X2) )
    | ~ spl0_45 ),
    inference(superposition,[],[f273,f538]) ).

fof(f538,plain,
    ( sk3 = app(nil,sk3)
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f536]) ).

fof(f581,plain,
    ( ~ spl0_10
    | spl0_50
    | ~ spl0_2
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f573,f518,f232,f579,f275]) ).

fof(f579,plain,
    ( spl0_50
  <=> ! [X2,X1] :
        ( ~ ssList(X1)
        | segmentP(app(X1,sk4),X2)
        | ~ ssList(X2)
        | ~ segmentP(sk4,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f518,plain,
    ( spl0_44
  <=> sk4 = app(sk4,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f573,plain,
    ( ! [X2,X1] :
        ( ~ ssList(nil)
        | ~ ssList(X1)
        | ~ ssList(X2)
        | ~ segmentP(sk4,X2)
        | segmentP(app(X1,sk4),X2)
        | ~ ssList(sk4) )
    | ~ spl0_44 ),
    inference(superposition,[],[f273,f520]) ).

fof(f520,plain,
    ( sk4 = app(sk4,nil)
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f518]) ).

fof(f577,plain,
    ( ~ spl0_2
    | spl0_49
    | ~ spl0_10
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f572,f518,f275,f575,f232]) ).

fof(f575,plain,
    ( spl0_49
  <=> ! [X0] :
        ( segmentP(app(X0,sk4),sk4)
        | ~ ssList(X0)
        | ~ ssList(app(X0,sk4)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f572,plain,
    ( ! [X0] :
        ( ~ ssList(sk4)
        | segmentP(app(X0,sk4),sk4)
        | ~ ssList(app(X0,sk4))
        | ~ ssList(X0)
        | ~ ssList(nil) )
    | ~ spl0_44 ),
    inference(superposition,[],[f272,f520]) ).

fof(f272,plain,
    ! [X2,X0,X1] :
      ( ~ ssList(app(X0,app(X1,X2)))
      | segmentP(app(X0,app(X1,X2)),X1)
      | ~ ssList(X2)
      | ~ ssList(X0)
      | ~ ssList(X1) ),
    inference(forward_subsumption_demodulation,[],[f271,f149]) ).

fof(f271,plain,
    ! [X2,X0,X1] :
      ( segmentP(app(X0,app(X1,X2)),X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ ssList(X2)
      | ~ ssList(app(app(X0,X1),X2)) ),
    inference(forward_subsumption_demodulation,[],[f198,f149]) ).

fof(f198,plain,
    ! [X2,X0,X1] :
      ( ~ ssList(X0)
      | segmentP(app(app(X0,X1),X2),X1)
      | ~ ssList(X1)
      | ~ ssList(X2)
      | ~ ssList(app(app(X0,X1),X2)) ),
    inference(equality_resolution,[],[f173]) ).

fof(f173,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ ssList(X2)
      | ~ ssList(X3)
      | segmentP(X3,X1)
      | app(app(X0,X1),X2) != X3
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause173) ).

fof(f565,plain,
    ( ~ spl0_8
    | ~ spl0_2
    | spl0_48
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f556,f513,f563,f232,f262]) ).

fof(f563,plain,
    ( spl0_48
  <=> ! [X0] :
        ( ~ ssList(X0)
        | ~ ssList(app(X0,sk3))
        | segmentP(app(X0,sk3),sk3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f513,plain,
    ( spl0_43
  <=> sk3 = app(sk3,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f556,plain,
    ( ! [X0] :
        ( ~ ssList(X0)
        | segmentP(app(X0,sk3),sk3)
        | ~ ssList(app(X0,sk3))
        | ~ ssList(nil)
        | ~ ssList(sk3) )
    | ~ spl0_43 ),
    inference(superposition,[],[f272,f515]) ).

fof(f515,plain,
    ( sk3 = app(sk3,nil)
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f513]) ).

fof(f561,plain,
    ( ~ spl0_2
    | ~ spl0_8
    | spl0_47
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f557,f513,f559,f262,f232]) ).

fof(f559,plain,
    ( spl0_47
  <=> ! [X2,X1] :
        ( ~ ssList(X2)
        | ~ segmentP(sk3,X2)
        | ~ ssList(X1)
        | segmentP(app(X1,sk3),X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f557,plain,
    ( ! [X2,X1] :
        ( ~ ssList(X2)
        | ~ ssList(sk3)
        | ~ ssList(X1)
        | segmentP(app(X1,sk3),X2)
        | ~ ssList(nil)
        | ~ segmentP(sk3,X2) )
    | ~ spl0_43 ),
    inference(superposition,[],[f273,f515]) ).

fof(f544,plain,
    ( spl0_46
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f534,f275,f541]) ).

fof(f534,plain,
    ( sk4 = app(nil,sk4)
    | ~ spl0_10 ),
    inference(resolution,[],[f74,f277]) ).

fof(f277,plain,
    ( ssList(sk4)
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f275]) ).

fof(f539,plain,
    ( spl0_45
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f533,f262,f536]) ).

fof(f533,plain,
    ( sk3 = app(nil,sk3)
    | ~ spl0_8 ),
    inference(resolution,[],[f74,f264]) ).

fof(f264,plain,
    ( ssList(sk3)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f262]) ).

fof(f523,plain,
    spl0_35,
    inference(avatar_contradiction_clause,[],[f522]) ).

fof(f522,plain,
    ( $false
    | spl0_35 ),
    inference(resolution,[],[f462,f31]) ).

fof(f31,axiom,
    ! [X0] : ssItem(skaf64(X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause31) ).

fof(f462,plain,
    ( ~ ssItem(skaf64(sk3))
    | spl0_35 ),
    inference(avatar_component_clause,[],[f460]) ).

fof(f521,plain,
    ( spl0_44
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f506,f275,f518]) ).

fof(f506,plain,
    ( sk4 = app(sk4,nil)
    | ~ spl0_10 ),
    inference(resolution,[],[f73,f277]) ).

fof(f516,plain,
    ( spl0_43
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f505,f262,f513]) ).

fof(f505,plain,
    ( sk3 = app(sk3,nil)
    | ~ spl0_8 ),
    inference(resolution,[],[f73,f264]) ).

fof(f511,plain,
    ( spl0_42
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f496,f232,f508]) ).

fof(f508,plain,
    ( spl0_42
  <=> nil = app(nil,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f496,plain,
    ( nil = app(nil,nil)
    | ~ spl0_2 ),
    inference(resolution,[],[f73,f233]) ).

fof(f233,plain,
    ( ssList(nil)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f232]) ).

fof(f495,plain,
    spl0_34,
    inference(avatar_contradiction_clause,[],[f494]) ).

fof(f494,plain,
    ( $false
    | spl0_34 ),
    inference(resolution,[],[f458,f27]) ).

fof(f27,axiom,
    ! [X0] : ssList(skaf68(X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause27) ).

fof(f458,plain,
    ( ~ ssList(skaf68(sk3))
    | spl0_34 ),
    inference(avatar_component_clause,[],[f456]) ).

fof(f493,plain,
    spl0_33,
    inference(avatar_contradiction_clause,[],[f492]) ).

fof(f492,plain,
    ( $false
    | spl0_33 ),
    inference(resolution,[],[f454,f29]) ).

fof(f29,axiom,
    ! [X0] : ssList(skaf66(X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause29) ).

fof(f454,plain,
    ( ~ ssList(skaf66(sk3))
    | spl0_33 ),
    inference(avatar_component_clause,[],[f452]) ).

fof(f452,plain,
    ( spl0_33
  <=> ssList(skaf66(sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f491,plain,
    spl0_32,
    inference(avatar_contradiction_clause,[],[f490]) ).

fof(f490,plain,
    ( $false
    | spl0_32 ),
    inference(resolution,[],[f450,f30]) ).

fof(f30,axiom,
    ! [X0] : ssItem(skaf65(X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause30) ).

fof(f450,plain,
    ( ~ ssItem(skaf65(sk3))
    | spl0_32 ),
    inference(avatar_component_clause,[],[f448]) ).

fof(f489,plain,
    spl0_31,
    inference(avatar_contradiction_clause,[],[f488]) ).

fof(f488,plain,
    ( $false
    | spl0_31 ),
    inference(resolution,[],[f446,f28]) ).

fof(f28,axiom,
    ! [X0] : ssList(skaf67(X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause28) ).

fof(f446,plain,
    ( ~ ssList(skaf67(sk3))
    | spl0_31 ),
    inference(avatar_component_clause,[],[f444]) ).

fof(f444,plain,
    ( spl0_31
  <=> ssList(skaf67(sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f487,plain,
    ( ~ spl0_37
    | ~ spl0_36
    | spl0_41
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f438,f389,f485,f465,f469]) ).

fof(f469,plain,
    ( spl0_37
  <=> ssList(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3)))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f485,plain,
    ( spl0_41
  <=> ! [X6,X5] :
        ( segmentP(app(X5,sk3),X6)
        | ~ segmentP(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))),X6)
        | ~ ssList(X5)
        | ~ ssList(X6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f389,plain,
    ( spl0_25
  <=> sk3 = app(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))),cons(skaf65(sk3),skaf68(sk3))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f438,plain,
    ( ! [X6,X5] :
        ( segmentP(app(X5,sk3),X6)
        | ~ ssList(X6)
        | ~ ssList(X5)
        | ~ ssList(cons(skaf65(sk3),skaf68(sk3)))
        | ~ segmentP(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))),X6)
        | ~ ssList(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3)))) )
    | ~ spl0_25 ),
    inference(superposition,[],[f273,f391]) ).

fof(f391,plain,
    ( sk3 = app(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))),cons(skaf65(sk3),skaf68(sk3)))
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f389]) ).

fof(f483,plain,
    ( ~ spl0_32
    | ~ spl0_37
    | ~ spl0_34
    | spl0_40
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f435,f389,f481,f456,f469,f448]) ).

fof(f481,plain,
    ( spl0_40
  <=> ! [X0,X1] :
        ( ~ ssItem(X0)
        | ~ ssList(app(sk3,cons(X0,X1)))
        | ~ ssList(X1)
        | ~ strictorderedP(app(sk3,cons(X0,X1)))
        | lt(skaf65(sk3),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f435,plain,
    ( ! [X0,X1] :
        ( ~ ssItem(X0)
        | ~ ssList(skaf68(sk3))
        | lt(skaf65(sk3),X0)
        | ~ ssList(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))))
        | ~ strictorderedP(app(sk3,cons(X0,X1)))
        | ~ ssList(X1)
        | ~ ssItem(skaf65(sk3))
        | ~ ssList(app(sk3,cons(X0,X1))) )
    | ~ spl0_25 ),
    inference(superposition,[],[f211,f391]) ).

fof(f211,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
      | ~ ssList(X4)
      | ~ ssItem(X1)
      | ~ ssList(X2)
      | ~ ssList(X0)
      | ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
      | ~ ssItem(X3)
      | lt(X1,X3) ),
    inference(equality_resolution,[],[f181]) ).

fof(f181,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ ssList(X5)
      | app(app(X0,cons(X1,X2)),cons(X3,X4)) != X5
      | lt(X1,X3)
      | ~ ssList(X0)
      | ~ ssList(X4)
      | ~ ssItem(X3)
      | ~ ssList(X2)
      | ~ strictorderedP(X5)
      | ~ ssItem(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause181) ).

fof(f479,plain,
    ( ~ spl0_37
    | ~ spl0_34
    | ~ spl0_32
    | spl0_39
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f436,f389,f477,f448,f456,f469]) ).

fof(f477,plain,
    ( spl0_39
  <=> ! [X2,X3] :
        ( ~ ssList(X3)
        | ~ ssItem(X2)
        | ~ totalorderedP(app(sk3,cons(X2,X3)))
        | leq(skaf65(sk3),X2)
        | ~ ssList(app(sk3,cons(X2,X3))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f436,plain,
    ( ! [X2,X3] :
        ( ~ ssList(X3)
        | ~ ssItem(skaf65(sk3))
        | leq(skaf65(sk3),X2)
        | ~ ssList(skaf68(sk3))
        | ~ ssList(app(sk3,cons(X2,X3)))
        | ~ ssList(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))))
        | ~ totalorderedP(app(sk3,cons(X2,X3)))
        | ~ ssItem(X2) )
    | ~ spl0_25 ),
    inference(superposition,[],[f199,f391]) ).

fof(f199,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
      | ~ ssItem(X3)
      | ~ ssItem(X1)
      | ~ ssList(X2)
      | ~ ssList(X4)
      | ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
      | leq(X1,X3)
      | ~ ssList(X0) ),
    inference(equality_resolution,[],[f182]) ).

fof(f182,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ ssList(X0)
      | app(app(X0,cons(X1,X2)),cons(X3,X4)) != X5
      | ~ ssList(X4)
      | leq(X1,X3)
      | ~ ssList(X5)
      | ~ totalorderedP(X5)
      | ~ ssList(X2)
      | ~ ssItem(X3)
      | ~ ssItem(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause182) ).

fof(f475,plain,
    ( ~ spl0_36
    | ~ spl0_37
    | spl0_38
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f437,f389,f473,f469,f465]) ).

fof(f473,plain,
    ( spl0_38
  <=> ! [X4] :
        ( ~ ssList(app(X4,sk3))
        | segmentP(app(X4,sk3),app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))))
        | ~ ssList(X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f437,plain,
    ( ! [X4] :
        ( ~ ssList(app(X4,sk3))
        | ~ ssList(X4)
        | ~ ssList(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))))
        | ~ ssList(cons(skaf65(sk3),skaf68(sk3)))
        | segmentP(app(X4,sk3),app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3)))) )
    | ~ spl0_25 ),
    inference(superposition,[],[f272,f391]) ).

fof(f463,plain,
    ( spl0_30
    | ~ spl0_31
    | ~ spl0_32
    | ~ spl0_15
    | ~ spl0_33
    | ~ spl0_34
    | ~ spl0_8
    | ~ spl0_35
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f433,f389,f460,f262,f456,f452,f302,f448,f444,f440]) ).

fof(f302,plain,
    ( spl0_15
  <=> strictorderedP(sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f433,plain,
    ( ~ ssItem(skaf64(sk3))
    | ~ ssList(sk3)
    | ~ ssList(skaf68(sk3))
    | ~ ssList(skaf66(sk3))
    | ~ strictorderedP(sk3)
    | ~ ssItem(skaf65(sk3))
    | ~ ssList(skaf67(sk3))
    | lt(skaf64(sk3),skaf65(sk3))
    | ~ spl0_25 ),
    inference(superposition,[],[f211,f391]) ).

fof(f424,plain,
    ( ~ spl0_10
    | spl0_29
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f419,f275,f422,f275]) ).

fof(f422,plain,
    ( spl0_29
  <=> ! [X2,X0,X1] :
        ( ~ segmentP(sk4,app(X0,app(X1,X2)))
        | ~ segmentP(X1,sk4)
        | ~ ssList(X0)
        | ~ ssList(app(X0,app(X1,X2)))
        | ~ ssList(X1)
        | sk4 = app(X0,app(X1,X2))
        | ~ ssList(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f419,plain,
    ( ! [X2,X0,X1] :
        ( ~ segmentP(sk4,app(X0,app(X1,X2)))
        | ~ ssList(X2)
        | sk4 = app(X0,app(X1,X2))
        | ~ ssList(X1)
        | ~ ssList(app(X0,app(X1,X2)))
        | ~ ssList(X0)
        | ~ segmentP(X1,sk4)
        | ~ ssList(sk4) )
    | ~ spl0_10 ),
    inference(resolution,[],[f344,f273]) ).

fof(f344,plain,
    ( ! [X1] :
        ( ~ segmentP(X1,sk4)
        | ~ ssList(X1)
        | ~ segmentP(sk4,X1)
        | sk4 = X1 )
    | ~ spl0_10 ),
    inference(resolution,[],[f127,f277]) ).

fof(f127,axiom,
    ! [X0,X1] :
      ( ~ ssList(X1)
      | X0 = X1
      | ~ segmentP(X1,X0)
      | ~ ssList(X0)
      | ~ segmentP(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause127) ).

fof(f414,plain,
    ( ~ spl0_10
    | spl0_28
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f409,f359,f412,f275]) ).

fof(f412,plain,
    ( spl0_28
  <=> ! [X2,X0,X1] :
        ( ~ ssList(X2)
        | ~ ssList(X0)
        | segmentP(app(X0,app(X1,X2)),sk3)
        | ~ ssList(app(X0,app(X1,X2)))
        | ~ segmentP(X1,sk4)
        | ~ ssList(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f359,plain,
    ( spl0_22
  <=> ! [X0] :
        ( segmentP(X0,sk3)
        | ~ segmentP(X0,sk4)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f409,plain,
    ( ! [X2,X0,X1] :
        ( ~ ssList(X2)
        | ~ segmentP(X1,sk4)
        | ~ ssList(X1)
        | ~ ssList(app(X0,app(X1,X2)))
        | segmentP(app(X0,app(X1,X2)),sk3)
        | ~ ssList(sk4)
        | ~ ssList(X0) )
    | ~ spl0_22 ),
    inference(resolution,[],[f360,f273]) ).

fof(f360,plain,
    ( ! [X0] :
        ( ~ segmentP(X0,sk4)
        | ~ ssList(X0)
        | segmentP(X0,sk3) )
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f359]) ).

fof(f401,plain,
    ( spl0_26
    | spl0_27
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f387,f275,f398,f394]) ).

fof(f394,plain,
    ( spl0_26
  <=> sk4 = app(app(skaf66(sk4),cons(skaf64(sk4),skaf67(sk4))),cons(skaf65(sk4),skaf68(sk4))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f398,plain,
    ( spl0_27
  <=> totalorderedP(sk4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f387,plain,
    ( totalorderedP(sk4)
    | sk4 = app(app(skaf66(sk4),cons(skaf64(sk4),skaf67(sk4))),cons(skaf65(sk4),skaf68(sk4)))
    | ~ spl0_10 ),
    inference(resolution,[],[f164,f277]) ).

fof(f392,plain,
    ( spl0_3
    | spl0_25
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f386,f262,f389,f237]) ).

fof(f386,plain,
    ( sk3 = app(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))),cons(skaf65(sk3),skaf68(sk3)))
    | totalorderedP(sk3)
    | ~ spl0_8 ),
    inference(resolution,[],[f164,f264]) ).

fof(f380,plain,
    ( spl0_23
    | spl0_24
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f371,f275,f377,f373]) ).

fof(f373,plain,
    ( spl0_23
  <=> sk4 = app(app(skaf71(sk4),cons(skaf69(sk4),skaf72(sk4))),cons(skaf70(sk4),skaf73(sk4))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f377,plain,
    ( spl0_24
  <=> strictorderedP(sk4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f371,plain,
    ( strictorderedP(sk4)
    | sk4 = app(app(skaf71(sk4),cons(skaf69(sk4),skaf72(sk4))),cons(skaf70(sk4),skaf73(sk4)))
    | ~ spl0_10 ),
    inference(resolution,[],[f163,f277]) ).

fof(f361,plain,
    ( ~ spl0_10
    | ~ spl0_8
    | spl0_22
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f353,f241,f359,f262,f275]) ).

fof(f241,plain,
    ( spl0_4
  <=> segmentP(sk4,sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f353,plain,
    ( ! [X0] :
        ( segmentP(X0,sk3)
        | ~ ssList(X0)
        | ~ ssList(sk3)
        | ~ ssList(sk4)
        | ~ segmentP(X0,sk4) )
    | ~ spl0_4 ),
    inference(resolution,[],[f152,f242]) ).

fof(f242,plain,
    ( segmentP(sk4,sk3)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f241]) ).

fof(f152,axiom,
    ! [X2,X0,X1] :
      ( ~ segmentP(X1,X2)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ segmentP(X0,X1)
      | ~ ssList(X0)
      | segmentP(X0,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause152) ).

fof(f334,plain,
    spl0_21,
    inference(avatar_split_clause,[],[f1,f331]) ).

fof(f331,plain,
    ( spl0_21
  <=> equalelemsP(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f1,axiom,
    equalelemsP(nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).

fof(f329,plain,
    spl0_8,
    inference(avatar_split_clause,[],[f188,f262]) ).

fof(f188,axiom,
    ssList(sk3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_3) ).

fof(f328,plain,
    spl0_20,
    inference(avatar_split_clause,[],[f5,f325]) ).

fof(f325,plain,
    ( spl0_20
  <=> strictorderP(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f5,axiom,
    strictorderP(nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause5) ).

fof(f323,plain,
    ~ spl0_19,
    inference(avatar_split_clause,[],[f54,f320]) ).

fof(f320,plain,
    ( spl0_19
  <=> skac3 = skac2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f54,axiom,
    skac3 != skac2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause54) ).

fof(f318,plain,
    spl0_18,
    inference(avatar_split_clause,[],[f3,f315]) ).

fof(f315,plain,
    ( spl0_18
  <=> strictorderedP(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f3,axiom,
    strictorderedP(nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause3) ).

fof(f313,plain,
    ( spl0_16
    | spl0_17 ),
    inference(avatar_split_clause,[],[f72,f311,f308]) ).

fof(f308,plain,
    ( spl0_16
  <=> ! [X0] :
        ( ~ ssList(X0)
        | duplicatefreeP(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f311,plain,
    ( spl0_17
  <=> ! [X1] : ssItem(X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f72,axiom,
    ! [X0,X1] :
      ( ssItem(X1)
      | ~ ssList(X0)
      | duplicatefreeP(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).

fof(f306,plain,
    spl0_4,
    inference(avatar_split_clause,[],[f192,f241]) ).

fof(f192,axiom,
    segmentP(sk4,sk3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

fof(f305,plain,
    spl0_15,
    inference(avatar_split_clause,[],[f193,f302]) ).

fof(f193,axiom,
    strictorderedP(sk3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

fof(f300,plain,
    spl0_14,
    inference(avatar_split_clause,[],[f9,f297]) ).

fof(f297,plain,
    ( spl0_14
  <=> ssItem(skac3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f9,axiom,
    ssItem(skac3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause9) ).

fof(f295,plain,
    spl0_13,
    inference(avatar_split_clause,[],[f4,f292]) ).

fof(f292,plain,
    ( spl0_13
  <=> totalorderedP(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f4,axiom,
    totalorderedP(nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause4) ).

fof(f290,plain,
    spl0_12,
    inference(avatar_split_clause,[],[f6,f287]) ).

fof(f287,plain,
    ( spl0_12
  <=> totalorderP(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f6,axiom,
    totalorderP(nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause6) ).

fof(f285,plain,
    ~ spl0_11,
    inference(avatar_split_clause,[],[f11,f282]) ).

fof(f282,plain,
    ( spl0_11
  <=> singletonP(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f11,axiom,
    ~ singletonP(nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause11) ).

fof(f280,plain,
    spl0_10,
    inference(avatar_split_clause,[],[f196,f275]) ).

fof(f196,plain,
    ssList(sk4),
    inference(definition_unfolding,[],[f187,f190]) ).

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

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

fof(f279,plain,
    spl0_1,
    inference(avatar_split_clause,[],[f66,f229]) ).

fof(f229,plain,
    ( spl0_1
  <=> ! [X1] :
        ( ~ ssItem(X1)
        | strictorderedP(cons(X1,nil)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f66,axiom,
    ! [X0] :
      ( ~ ssItem(X0)
      | strictorderedP(cons(X0,nil)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).

fof(f278,plain,
    spl0_10,
    inference(avatar_split_clause,[],[f189,f275]) ).

fof(f189,axiom,
    ssList(sk4),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_4) ).

fof(f270,plain,
    spl0_9,
    inference(avatar_split_clause,[],[f7,f267]) ).

fof(f267,plain,
    ( spl0_9
  <=> cyclefreeP(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f7,axiom,
    cyclefreeP(nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause7) ).

fof(f265,plain,
    spl0_8,
    inference(avatar_split_clause,[],[f195,f262]) ).

fof(f195,plain,
    ssList(sk3),
    inference(definition_unfolding,[],[f186,f191]) ).

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

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

fof(f260,plain,
    spl0_2,
    inference(avatar_split_clause,[],[f8,f232]) ).

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

fof(f259,plain,
    spl0_7,
    inference(avatar_split_clause,[],[f2,f256]) ).

fof(f256,plain,
    ( spl0_7
  <=> duplicatefreeP(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f2,axiom,
    duplicatefreeP(nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).

fof(f254,plain,
    spl0_6,
    inference(avatar_split_clause,[],[f10,f251]) ).

fof(f251,plain,
    ( spl0_6
  <=> ssItem(skac2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f10,axiom,
    ssItem(skac2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause10) ).

fof(f249,plain,
    ( spl0_5
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f216,f232,f246]) ).

fof(f246,plain,
    ( spl0_5
  <=> frontsegP(nil,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f216,plain,
    ( ~ ssList(nil)
    | frontsegP(nil,nil) ),
    inference(equality_resolution,[],[f83]) ).

fof(f83,axiom,
    ! [X0] :
      ( ~ ssList(X0)
      | frontsegP(nil,X0)
      | nil != X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause83) ).

fof(f244,plain,
    ( ~ spl0_3
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f197,f241,f237]) ).

fof(f197,plain,
    ( ~ segmentP(sk4,sk3)
    | ~ totalorderedP(sk3) ),
    inference(definition_unfolding,[],[f194,f190,f191,f191]) ).

fof(f194,axiom,
    ( ~ segmentP(sk2,sk1)
    | ~ totalorderedP(sk1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).

fof(f235,plain,
    ( spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f206,f232,f229]) ).

fof(f206,plain,
    ! [X1] :
      ( ~ ssList(nil)
      | ~ ssItem(X1)
      | strictorderedP(cons(X1,nil)) ),
    inference(equality_resolution,[],[f112]) ).

fof(f112,axiom,
    ! [X0,X1] :
      ( strictorderedP(cons(X1,X0))
      | ~ ssItem(X1)
      | ~ ssList(X0)
      | nil != X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause112) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWC340-1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34  % Computer : n008.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Aug 30 18:52:25 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.49  % (32311)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.49  % (32309)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.50  % (32326)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.50  % (32318)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.51  % (32312)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.28/0.51  % (32309)Instruction limit reached!
% 1.28/0.51  % (32309)------------------------------
% 1.28/0.51  % (32309)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.28/0.52  % (32302)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 1.28/0.52  % (32309)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.28/0.52  % (32309)Termination reason: Unknown
% 1.28/0.52  % (32309)Termination phase: Saturation
% 1.28/0.52  
% 1.28/0.52  % (32309)Memory used [KB]: 5628
% 1.28/0.52  % (32309)Time elapsed: 0.112 s
% 1.28/0.52  % (32309)Instructions burned: 7 (million)
% 1.28/0.52  % (32309)------------------------------
% 1.28/0.52  % (32309)------------------------------
% 1.28/0.52  % (32324)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.28/0.52  % (32303)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.28/0.52  % (32307)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.28/0.52  % (32317)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.28/0.53  % (32305)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.38/0.53  % (32310)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.38/0.53  % (32310)Instruction limit reached!
% 1.38/0.53  % (32310)------------------------------
% 1.38/0.53  % (32310)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.38/0.53  % (32310)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.38/0.53  % (32310)Termination reason: Unknown
% 1.38/0.53  % (32310)Termination phase: shuffling
% 1.38/0.53  
% 1.38/0.53  % (32310)Memory used [KB]: 1023
% 1.38/0.53  % (32310)Time elapsed: 0.004 s
% 1.38/0.53  % (32310)Instructions burned: 2 (million)
% 1.38/0.53  % (32310)------------------------------
% 1.38/0.53  % (32310)------------------------------
% 1.38/0.53  % (32330)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.38/0.53  % (32306)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.38/0.53  % (32329)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.38/0.53  % (32304)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.38/0.53  % (32322)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.38/0.53  % (32321)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.38/0.53  % (32331)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.38/0.54  % (32323)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.38/0.54  % (32308)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.38/0.54  % (32327)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.38/0.54  % (32315)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.38/0.54  % (32316)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.38/0.54  % (32320)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.38/0.54  % (32319)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.38/0.54  TRYING [1]
% 1.38/0.54  % (32314)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.38/0.54  % (32313)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.38/0.54  % (32303)Refutation not found, incomplete strategy% (32303)------------------------------
% 1.38/0.54  % (32303)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.38/0.54  % (32303)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.38/0.54  % (32303)Termination reason: Refutation not found, incomplete strategy
% 1.38/0.54  
% 1.38/0.54  % (32303)Memory used [KB]: 5884
% 1.38/0.54  % (32303)Time elapsed: 0.142 s
% 1.38/0.54  % (32303)Instructions burned: 11 (million)
% 1.38/0.54  % (32303)------------------------------
% 1.38/0.54  % (32303)------------------------------
% 1.38/0.54  TRYING [2]
% 1.38/0.55  % (32325)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 1.38/0.56  % (32328)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.38/0.57  TRYING [3]
% 1.38/0.57  TRYING [1]
% 1.38/0.57  % (32311)Instruction limit reached!
% 1.38/0.57  % (32311)------------------------------
% 1.38/0.57  % (32311)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.38/0.58  TRYING [2]
% 1.38/0.58  % (32311)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.38/0.58  % (32311)Termination reason: Unknown
% 1.38/0.58  % (32311)Termination phase: Saturation
% 1.38/0.58  
% 1.38/0.58  % (32311)Memory used [KB]: 2174
% 1.38/0.58  % (32311)Time elapsed: 0.177 s
% 1.38/0.58  % (32311)Instructions burned: 52 (million)
% 1.38/0.58  % (32311)------------------------------
% 1.38/0.58  % (32311)------------------------------
% 1.38/0.59  TRYING [1]
% 1.38/0.59  TRYING [2]
% 1.38/0.59  % (32304)Instruction limit reached!
% 1.38/0.59  % (32304)------------------------------
% 1.38/0.59  % (32304)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.38/0.59  % (32304)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.38/0.59  % (32304)Termination reason: Unknown
% 1.38/0.59  % (32304)Termination phase: Saturation
% 1.38/0.59  
% 1.38/0.59  % (32304)Memory used [KB]: 1535
% 1.38/0.59  % (32304)Time elapsed: 0.195 s
% 1.38/0.59  % (32304)Instructions burned: 39 (million)
% 1.38/0.59  % (32304)------------------------------
% 1.38/0.59  % (32304)------------------------------
% 1.38/0.60  TRYING [3]
% 1.38/0.60  % (32308)Instruction limit reached!
% 1.38/0.60  % (32308)------------------------------
% 1.38/0.60  % (32308)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.38/0.60  % (32308)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.38/0.61  % (32308)Termination reason: Unknown
% 1.38/0.61  % (32308)Termination phase: Finite model building constraint generation
% 1.38/0.61  
% 1.38/0.61  % (32308)Memory used [KB]: 7675
% 1.38/0.61  % (32308)Time elapsed: 0.153 s
% 1.38/0.61  % (32308)Instructions burned: 52 (million)
% 1.38/0.61  % (32308)------------------------------
% 1.38/0.61  % (32308)------------------------------
% 1.38/0.61  % (32312)Instruction limit reached!
% 1.38/0.61  % (32312)------------------------------
% 1.38/0.61  % (32312)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.38/0.61  % (32312)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.38/0.61  % (32312)Termination reason: Unknown
% 1.38/0.61  % (32312)Termination phase: Saturation
% 1.38/0.61  
% 1.38/0.61  % (32312)Memory used [KB]: 6652
% 1.38/0.61  % (32312)Time elapsed: 0.212 s
% 1.38/0.61  % (32312)Instructions burned: 50 (million)
% 1.38/0.61  % (32312)------------------------------
% 1.38/0.61  % (32312)------------------------------
% 1.38/0.62  TRYING [3]
% 1.38/0.62  % (32307)Instruction limit reached!
% 1.38/0.62  % (32307)------------------------------
% 1.38/0.62  % (32307)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.38/0.62  % (32307)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.38/0.62  % (32307)Termination reason: Unknown
% 1.38/0.62  % (32307)Termination phase: Saturation
% 1.38/0.62  
% 1.38/0.62  % (32307)Memory used [KB]: 6268
% 1.38/0.62  % (32307)Time elapsed: 0.214 s
% 1.38/0.62  % (32307)Instructions burned: 49 (million)
% 1.38/0.62  % (32307)------------------------------
% 1.38/0.62  % (32307)------------------------------
% 1.38/0.62  % (32319)Instruction limit reached!
% 1.38/0.62  % (32319)------------------------------
% 1.38/0.62  % (32319)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.38/0.62  % (32319)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.38/0.62  % (32319)Termination reason: Unknown
% 1.38/0.62  % (32319)Termination phase: Finite model building constraint generation
% 1.38/0.62  
% 1.38/0.62  % (32319)Memory used [KB]: 8187
% 1.38/0.62  % (32319)Time elapsed: 0.218 s
% 1.38/0.62  % (32319)Instructions burned: 59 (million)
% 1.38/0.62  % (32319)------------------------------
% 1.38/0.62  % (32319)------------------------------
% 1.38/0.62  % (32306)Instruction limit reached!
% 1.38/0.62  % (32306)------------------------------
% 1.38/0.62  % (32306)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.38/0.62  % (32306)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.38/0.62  % (32306)Termination reason: Unknown
% 1.38/0.62  % (32306)Termination phase: Saturation
% 1.38/0.62  
% 1.38/0.62  % (32306)Memory used [KB]: 6524
% 1.38/0.62  % (32306)Time elapsed: 0.203 s
% 1.38/0.62  % (32306)Instructions burned: 52 (million)
% 1.38/0.62  % (32306)------------------------------
% 1.38/0.62  % (32306)------------------------------
% 1.38/0.62  % (32305)Instruction limit reached!
% 1.38/0.62  % (32305)------------------------------
% 1.38/0.62  % (32305)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.38/0.62  % (32305)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.38/0.62  % (32305)Termination reason: Unknown
% 1.38/0.62  % (32305)Termination phase: Saturation
% 1.38/0.62  
% 1.38/0.62  % (32305)Memory used [KB]: 6780
% 1.38/0.62  % (32305)Time elapsed: 0.226 s
% 1.38/0.62  % (32305)Instructions burned: 52 (million)
% 1.38/0.62  % (32305)------------------------------
% 1.38/0.62  % (32305)------------------------------
% 2.12/0.64  % (32317)Instruction limit reached!
% 2.12/0.64  % (32317)------------------------------
% 2.12/0.64  % (32317)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.12/0.64  % (32317)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.12/0.64  % (32317)Termination reason: Unknown
% 2.12/0.64  % (32317)Termination phase: Saturation
% 2.12/0.64  
% 2.12/0.64  % (32317)Memory used [KB]: 2302
% 2.12/0.64  % (32317)Time elapsed: 0.232 s
% 2.12/0.64  % (32317)Instructions burned: 76 (million)
% 2.12/0.64  % (32317)------------------------------
% 2.12/0.64  % (32317)------------------------------
% 2.12/0.64  % (32332)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/388Mi)
% 2.12/0.64  % (32318)Instruction limit reached!
% 2.12/0.64  % (32318)------------------------------
% 2.12/0.64  % (32318)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.12/0.64  % (32318)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.12/0.64  % (32318)Termination reason: Unknown
% 2.12/0.64  % (32318)Termination phase: Saturation
% 2.12/0.64  
% 2.12/0.64  % (32318)Memory used [KB]: 6908
% 2.12/0.64  % (32318)Time elapsed: 0.232 s
% 2.12/0.64  % (32318)Instructions burned: 100 (million)
% 2.12/0.64  % (32318)------------------------------
% 2.12/0.64  % (32318)------------------------------
% 2.12/0.67  % (32316)Instruction limit reached!
% 2.12/0.67  % (32316)------------------------------
% 2.12/0.67  % (32316)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.12/0.67  % (32316)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.12/0.67  % (32316)Termination reason: Unknown
% 2.12/0.67  % (32316)Termination phase: Saturation
% 2.12/0.67  
% 2.12/0.67  % (32316)Memory used [KB]: 7036
% 2.12/0.67  % (32316)Time elapsed: 0.039 s
% 2.12/0.67  % (32316)Instructions burned: 69 (million)
% 2.12/0.67  % (32316)------------------------------
% 2.12/0.67  % (32316)------------------------------
% 2.12/0.68  % (32333)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/211Mi)
% 2.12/0.69  % (32328)Instruction limit reached!
% 2.12/0.69  % (32328)------------------------------
% 2.12/0.69  % (32328)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.12/0.69  % (32328)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.12/0.69  % (32328)Termination reason: Unknown
% 2.12/0.69  % (32328)Termination phase: Saturation
% 2.12/0.69  
% 2.12/0.69  % (32328)Memory used [KB]: 7036
% 2.12/0.69  % (32328)Time elapsed: 0.040 s
% 2.12/0.69  % (32328)Instructions burned: 68 (million)
% 2.12/0.69  % (32328)------------------------------
% 2.12/0.69  % (32328)------------------------------
% 2.12/0.69  % (32334)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/90Mi)
% 2.52/0.70  TRYING [4]
% 2.52/0.71  % (32313)Instruction limit reached!
% 2.52/0.71  % (32313)------------------------------
% 2.52/0.71  % (32313)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.52/0.71  % (32313)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.52/0.71  % (32313)Termination reason: Unknown
% 2.52/0.71  % (32313)Termination phase: Saturation
% 2.52/0.71  
% 2.52/0.71  % (32313)Memory used [KB]: 7547
% 2.52/0.71  % (32313)Time elapsed: 0.316 s
% 2.52/0.71  % (32313)Instructions burned: 100 (million)
% 2.52/0.71  % (32313)------------------------------
% 2.52/0.71  % (32313)------------------------------
% 2.52/0.71  % (32321)Instruction limit reached!
% 2.52/0.71  % (32321)------------------------------
% 2.52/0.71  % (32321)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.52/0.71  % (32321)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.52/0.71  % (32321)Termination reason: Unknown
% 2.52/0.71  % (32321)Termination phase: Saturation
% 2.52/0.71  
% 2.52/0.71  % (32321)Memory used [KB]: 2174
% 2.52/0.71  % (32321)Time elapsed: 0.292 s
% 2.52/0.71  % (32321)Instructions burned: 101 (million)
% 2.52/0.71  % (32321)------------------------------
% 2.52/0.71  % (32321)------------------------------
% 2.52/0.72  % (32315)Instruction limit reached!
% 2.52/0.72  % (32315)------------------------------
% 2.52/0.72  % (32315)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.52/0.72  % (32336)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/934Mi)
% 2.52/0.72  % (32315)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.52/0.72  % (32315)Termination reason: Unknown
% 2.52/0.72  % (32315)Termination phase: Saturation
% 2.52/0.72  
% 2.52/0.72  % (32315)Memory used [KB]: 7291
% 2.52/0.72  % (32315)Time elapsed: 0.306 s
% 2.52/0.72  % (32315)Instructions burned: 100 (million)
% 2.52/0.72  % (32315)------------------------------
% 2.52/0.72  % (32315)------------------------------
% 2.52/0.73  % (32320)Instruction limit reached!
% 2.52/0.73  % (32320)------------------------------
% 2.52/0.73  % (32320)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.52/0.73  % (32320)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.52/0.73  % (32314)Instruction limit reached!
% 2.52/0.73  % (32314)------------------------------
% 2.52/0.73  % (32314)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.52/0.73  % (32320)Termination reason: Unknown
% 2.52/0.73  % (32320)Termination phase: Saturation
% 2.52/0.73  
% 2.52/0.73  % (32320)Memory used [KB]: 7675
% 2.52/0.73  % (32320)Time elapsed: 0.311 s
% 2.52/0.73  % (32320)Instructions burned: 100 (million)
% 2.52/0.73  % (32320)------------------------------
% 2.52/0.73  % (32320)------------------------------
% 2.52/0.73  % (32314)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.52/0.73  % (32314)Termination reason: Unknown
% 2.52/0.73  % (32314)Termination phase: Saturation
% 2.52/0.73  
% 2.52/0.73  % (32314)Memory used [KB]: 7291
% 2.52/0.73  % (32314)Time elapsed: 0.337 s
% 2.52/0.73  % (32314)Instructions burned: 103 (million)
% 2.52/0.73  % (32314)------------------------------
% 2.52/0.73  % (32314)------------------------------
% 2.52/0.75  % (32337)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/747Mi)
% 2.52/0.75  % (32338)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=655:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/655Mi)
% 2.52/0.75  % (32335)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/920Mi)
% 2.52/0.75  % (32339)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/68Mi)
% 2.52/0.75  % (32340)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=940:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/940Mi)
% 2.52/0.75  WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 2.52/0.75  % (32344)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/3735Mi)
% 2.52/0.76  % (32342)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 2.52/0.76  % (32343)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/2016Mi)
% 2.76/0.77  % (32341)ott+11_4:1_br=off:fde=none:s2a=on:sd=2:sp=frequency:urr=on:i=981:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/981Mi)
% 2.76/0.78  % (32323)Instruction limit reached!
% 2.76/0.78  % (32323)------------------------------
% 2.76/0.78  % (32323)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.76/0.78  % (32323)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.76/0.78  % (32323)Termination reason: Unknown
% 2.76/0.78  % (32323)Termination phase: Saturation
% 2.76/0.78  
% 2.76/0.78  % (32323)Memory used [KB]: 8059
% 2.76/0.78  % (32323)Time elapsed: 0.365 s
% 2.76/0.78  % (32323)Instructions burned: 138 (million)
% 2.76/0.78  % (32323)------------------------------
% 2.76/0.78  % (32323)------------------------------
% 2.84/0.81  % (32345)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4958Mi)
% 2.84/0.82  % (32322)Instruction limit reached!
% 2.84/0.82  % (32322)------------------------------
% 2.84/0.82  % (32322)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.84/0.82  % (32322)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.84/0.82  % (32322)Termination reason: Unknown
% 2.84/0.82  % (32322)Termination phase: Saturation
% 2.84/0.82  
% 2.84/0.82  % (32322)Memory used [KB]: 6524
% 2.84/0.82  % (32322)Time elapsed: 0.349 s
% 2.84/0.82  % (32322)Instructions burned: 176 (million)
% 2.84/0.82  % (32322)------------------------------
% 2.84/0.82  % (32322)------------------------------
% 2.93/0.83  % (32346)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=4959:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4959Mi)
% 2.93/0.85  % (32329)Instruction limit reached!
% 2.93/0.85  % (32329)------------------------------
% 2.93/0.85  % (32329)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.93/0.85  % (32329)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.93/0.85  % (32329)Termination reason: Unknown
% 2.93/0.85  % (32329)Termination phase: Saturation
% 2.93/0.85  
% 2.93/0.85  % (32329)Memory used [KB]: 4221
% 2.93/0.85  % (32329)Time elapsed: 0.446 s
% 2.93/0.85  % (32329)Instructions burned: 178 (million)
% 2.93/0.85  % (32329)------------------------------
% 2.93/0.85  % (32329)------------------------------
% 2.93/0.85  % (32347)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4756Mi)
% 2.93/0.85  % (32348)ott+3_1:1_atotf=0.2:fsr=off:kws=precedence:sp=weighted_frequency:spb=intro:tgt=ground:i=4931:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4931Mi)
% 2.93/0.85  % (32334)Instruction limit reached!
% 2.93/0.85  % (32334)------------------------------
% 2.93/0.85  % (32334)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.93/0.85  % (32334)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.93/0.85  % (32334)Termination reason: Unknown
% 2.93/0.85  % (32334)Termination phase: Saturation
% 2.93/0.85  
% 2.93/0.85  % (32334)Memory used [KB]: 7419
% 2.93/0.85  % (32334)Time elapsed: 0.241 s
% 2.93/0.85  % (32334)Instructions burned: 91 (million)
% 2.93/0.85  % (32334)------------------------------
% 2.93/0.85  % (32334)------------------------------
% 2.93/0.86  % (32350)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/1824Mi)
% 2.93/0.86  % (32351)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=2134:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/2134Mi)
% 2.93/0.86  % (32349)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/68Mi)
% 2.93/0.87  % (32339)Instruction limit reached!
% 2.93/0.87  % (32339)------------------------------
% 2.93/0.87  % (32339)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.93/0.87  % (32339)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.93/0.87  % (32339)Termination reason: Unknown
% 2.93/0.87  % (32339)Termination phase: Saturation
% 2.93/0.87  
% 2.93/0.87  % (32339)Memory used [KB]: 7036
% 2.93/0.87  % (32339)Time elapsed: 0.037 s
% 2.93/0.87  % (32339)Instructions burned: 69 (million)
% 2.93/0.87  % (32339)------------------------------
% 2.93/0.87  % (32339)------------------------------
% 2.93/0.92  % (32352)ott-1_1:1_sp=const_frequency:i=2891:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/2891Mi)
% 2.93/0.92  % (32342)Instruction limit reached!
% 2.93/0.92  % (32342)------------------------------
% 2.93/0.92  % (32342)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.93/0.92  % (32342)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.93/0.92  % (32342)Termination reason: Unknown
% 2.93/0.92  % (32342)Termination phase: Saturation
% 2.93/0.92  
% 2.93/0.92  % (32342)Memory used [KB]: 6780
% 2.93/0.92  % (32342)Time elapsed: 0.279 s
% 2.93/0.92  % (32342)Instructions burned: 90 (million)
% 2.93/0.92  % (32342)------------------------------
% 2.93/0.92  % (32342)------------------------------
% 3.36/0.95  % (32353)dis+2_1:64_add=large:bce=on:bd=off:i=4585:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4585Mi)
% 3.36/0.98  % (32354)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/90Mi)
% 3.36/0.99  % (32355)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/2016Mi)
% 3.49/0.99  % (32349)Instruction limit reached!
% 3.49/0.99  % (32349)------------------------------
% 3.49/0.99  % (32349)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.49/0.99  % (32349)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.49/0.99  % (32349)Termination reason: Unknown
% 3.49/0.99  % (32349)Termination phase: Saturation
% 3.49/0.99  
% 3.49/0.99  % (32349)Memory used [KB]: 6908
% 3.49/0.99  % (32349)Time elapsed: 0.036 s
% 3.49/0.99  % (32349)Instructions burned: 69 (million)
% 3.49/0.99  % (32349)------------------------------
% 3.49/0.99  % (32349)------------------------------
% 3.49/1.00  % (32356)dis+10_1:2_atotf=0.3:i=8004:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/8004Mi)
% 3.49/1.03  % (32333)Instruction limit reached!
% 3.49/1.03  % (32333)------------------------------
% 3.49/1.03  % (32333)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.49/1.03  % (32333)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.49/1.03  % (32333)Termination reason: Unknown
% 3.49/1.03  % (32333)Termination phase: Saturation
% 3.49/1.03  
% 3.49/1.03  % (32333)Memory used [KB]: 4733
% 3.49/1.03  % (32333)Time elapsed: 0.477 s
% 3.49/1.03  % (32333)Instructions burned: 212 (million)
% 3.49/1.03  % (32333)------------------------------
% 3.49/1.03  % (32333)------------------------------
% 3.49/1.07  % (32357)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=9965:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/9965Mi)
% 5.96/1.13  % (32358)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=9877:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/9877Mi)
% 6.19/1.14  % (32326)Instruction limit reached!
% 6.19/1.14  % (32326)------------------------------
% 6.19/1.14  % (32326)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.19/1.14  % (32326)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.19/1.14  % (32326)Termination reason: Unknown
% 6.19/1.14  % (32326)Termination phase: Saturation
% 6.19/1.14  
% 6.19/1.14  % (32326)Memory used [KB]: 13304
% 6.19/1.14  % (32326)Time elapsed: 0.729 s
% 6.19/1.14  % (32326)Instructions burned: 482 (million)
% 6.19/1.14  % (32326)------------------------------
% 6.19/1.14  % (32326)------------------------------
% 6.19/1.15  % (32354)Instruction limit reached!
% 6.19/1.15  % (32354)------------------------------
% 6.19/1.15  % (32354)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.19/1.15  % (32354)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.19/1.15  % (32354)Termination reason: Unknown
% 6.19/1.15  % (32354)Termination phase: Saturation
% 6.19/1.15  
% 6.19/1.15  % (32354)Memory used [KB]: 7164
% 6.19/1.15  % (32354)Time elapsed: 0.264 s
% 6.19/1.15  % (32354)Instructions burned: 90 (million)
% 6.19/1.15  % (32354)------------------------------
% 6.19/1.15  % (32354)------------------------------
% 6.19/1.17  % (32345)First to succeed.
% 6.19/1.17  % (32331)Instruction limit reached!
% 6.19/1.17  % (32331)------------------------------
% 6.19/1.17  % (32331)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.19/1.17  % (32331)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.19/1.17  % (32331)Termination reason: Unknown
% 6.19/1.17  % (32331)Termination phase: Saturation
% 6.19/1.17  
% 6.19/1.17  % (32331)Memory used [KB]: 11641
% 6.19/1.17  % (32331)Time elapsed: 0.758 s
% 6.19/1.17  % (32331)Instructions burned: 355 (million)
% 6.19/1.17  % (32331)------------------------------
% 6.19/1.17  % (32331)------------------------------
% 6.19/1.17  % (32359)ins+10_1:16_bce=on:fde=unused:igpr=on:igs=35:igwr=on:sp=const_frequency:tgt=full:to=lpo:i=9902:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/9902Mi)
% 6.19/1.19  % (32345)Refutation found. Thanks to Tanya!
% 6.19/1.19  % SZS status Unsatisfiable for theBenchmark
% 6.19/1.19  % SZS output start Proof for theBenchmark
% See solution above
% 6.19/1.19  % (32345)------------------------------
% 6.19/1.19  % (32345)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.19/1.19  % (32345)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.19/1.19  % (32345)Termination reason: Refutation
% 6.19/1.19  
% 6.19/1.19  % (32345)Memory used [KB]: 1663
% 6.19/1.19  % (32345)Time elapsed: 0.464 s
% 6.19/1.19  % (32345)Instructions burned: 276 (million)
% 6.19/1.19  % (32345)------------------------------
% 6.19/1.19  % (32345)------------------------------
% 6.19/1.19  % (32301)Success in time 0.846 s
%------------------------------------------------------------------------------