%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : KRS157+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n003.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 17:29:52 EDT 2022

% Result   : Theorem 0.20s 0.51s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   29
% Syntax   : Number of formulae    :   98 (  28 unt;   0 def)
%            Number of atoms       :  269 (   0 equ)
%            Maximal formula atoms :   12 (   2 avg)
%            Number of connectives :  281 ( 110   ~; 106   |;  40   &)
%                                         (  23 <=>;   1  =>;   0  <=;   1 <~>)
%            Maximal formula depth :   13 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   32 (  31 usr;  13 prp; 0-1 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   30 (  28   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1011,plain,
    $false,
    inference(avatar_sat_refutation,[],[f958,f959,f963,f967,f970,f975,f983,f990,f995,f997,f999,f1005,f1007,f1010]) ).

fof(f1010,plain,
    ( ~ spl148_2
    | ~ spl148_6 ),
    inference(avatar_contradiction_clause,[],[f1009]) ).

fof(f1009,plain,
    ( $false
    | ~ spl148_2
    | ~ spl148_6 ),
    inference(subsumption_resolution,[],[f1008,f917]) ).

fof(f917,plain,
    ( xsd_string(sK84)
    | ~ spl148_2 ),
    inference(avatar_component_clause,[],[f915]) ).

fof(f915,plain,
    ( spl148_2
  <=> xsd_string(sK84) ),
    introduced(avatar_definition,[new_symbols(naming,[spl148_2])]) ).

fof(f1008,plain,
    ( ~ xsd_string(sK84)
    | ~ spl148_6 ),
    inference(resolution,[],[f932,f581]) ).

fof(f581,plain,
    ! [X0] :
      ( ~ xsd_integer(X0)
      | ~ xsd_string(X0) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f2,axiom,
    ! [X0] :
      ( xsd_string(X0)
    <=> ~ xsd_integer(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).

fof(f932,plain,
    ( xsd_integer(sK84)
    | ~ spl148_6 ),
    inference(avatar_component_clause,[],[f931]) ).

fof(f931,plain,
    ( spl148_6
  <=> xsd_integer(sK84) ),
    introduced(avatar_definition,[new_symbols(naming,[spl148_6])]) ).

fof(f1007,plain,
    ~ spl148_4,
    inference(avatar_contradiction_clause,[],[f1006]) ).

fof(f1006,plain,
    ( $false
    | ~ spl148_4 ),
    inference(subsumption_resolution,[],[f925,f670]) ).

fof(f670,plain,
    ! [X0] : ~ cowlNothing(X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0] :
      ( ~ cowlNothing(X0)
      & cowlThing(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).

fof(f925,plain,
    ( cowlNothing(sK85)
    | ~ spl148_4 ),
    inference(avatar_component_clause,[],[f923]) ).

fof(f923,plain,
    ( spl148_4
  <=> cowlNothing(sK85) ),
    introduced(avatar_definition,[new_symbols(naming,[spl148_4])]) ).

fof(f1005,plain,
    ( spl148_2
    | spl148_6 ),
    inference(avatar_contradiction_clause,[],[f1004]) ).

fof(f1004,plain,
    ( $false
    | spl148_2
    | spl148_6 ),
    inference(subsumption_resolution,[],[f1003,f916]) ).

fof(f916,plain,
    ( ~ xsd_string(sK84)
    | spl148_2 ),
    inference(avatar_component_clause,[],[f915]) ).

fof(f1003,plain,
    ( xsd_string(sK84)
    | spl148_6 ),
    inference(resolution,[],[f933,f580]) ).

fof(f580,plain,
    ! [X0] :
      ( xsd_integer(X0)
      | xsd_string(X0) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f933,plain,
    ( ~ xsd_integer(sK84)
    | spl148_6 ),
    inference(avatar_component_clause,[],[f931]) ).

fof(f999,plain,
    spl148_8,
    inference(avatar_contradiction_clause,[],[f998]) ).

fof(f998,plain,
    ( $false
    | spl148_8 ),
    inference(subsumption_resolution,[],[f941,f669]) ).

fof(f669,plain,
    ! [X0] : cowlThing(X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f941,plain,
    ( ~ cowlThing(iV3102)
    | spl148_8 ),
    inference(avatar_component_clause,[],[f939]) ).

fof(f939,plain,
    ( spl148_8
  <=> cowlThing(iV3102) ),
    introduced(avatar_definition,[new_symbols(naming,[spl148_8])]) ).

fof(f997,plain,
    spl148_11,
    inference(avatar_contradiction_clause,[],[f996]) ).

fof(f996,plain,
    ( $false
    | spl148_11 ),
    inference(subsumption_resolution,[],[f953,f669]) ).

fof(f953,plain,
    ( ~ cowlThing(sK85)
    | spl148_11 ),
    inference(avatar_component_clause,[],[f951]) ).

fof(f951,plain,
    ( spl148_11
  <=> cowlThing(sK85) ),
    introduced(avatar_definition,[new_symbols(naming,[spl148_11])]) ).

fof(f995,plain,
    ( spl148_1
    | ~ spl148_5 ),
    inference(avatar_split_clause,[],[f991,f927,f911]) ).

fof(f911,plain,
    ( spl148_1
  <=> cC64(iV3102) ),
    introduced(avatar_definition,[new_symbols(naming,[spl148_1])]) ).

fof(f927,plain,
    ( spl148_5
  <=> cC216(iV3102) ),
    introduced(avatar_definition,[new_symbols(naming,[spl148_5])]) ).

fof(f991,plain,
    ( cC64(iV3102)
    | ~ spl148_5 ),
    inference(resolution,[],[f928,f815]) ).

fof(f815,plain,
    ! [X0] :
      ( ~ cC216(X0)
      | cC64(X0) ),
    inference(cnf_transformation,[],[f122]) ).

fof(f122,axiom,
    ! [X0] :
      ( ( cC64(X0)
        & cC214xcomp(X0) )
    <=> cC216(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_121) ).

fof(f928,plain,
    ( cC216(iV3102)
    | ~ spl148_5 ),
    inference(avatar_component_clause,[],[f927]) ).

fof(f990,plain,
    spl148_5,
    inference(avatar_split_clause,[],[f989,f927]) ).

fof(f989,plain,
    cC216(iV3102),
    inference(resolution,[],[f625,f528]) ).

fof(f528,plain,
    cTEST(iV3102),
    inference(cnf_transformation,[],[f203]) ).

fof(f203,axiom,
    cTEST(iV3102),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_202) ).

fof(f625,plain,
    ! [X0] :
      ( ~ cTEST(X0)
      | cC216(X0) ),
    inference(cnf_transformation,[],[f372]) ).

fof(f372,plain,
    ! [X0] :
      ( ~ cTEST(X0)
      | ( cC46(X0)
        & cC216(X0) ) ),
    inference(ennf_transformation,[],[f324]) ).

fof(f324,plain,
    ! [X0] :
      ( cTEST(X0)
     => ( cC46(X0)
        & cC216(X0) ) ),
    inference(unused_predicate_definition_removal,[],[f202]) ).

fof(f202,axiom,
    ! [X0] :
      ( cTEST(X0)
    <=> ( cC46(X0)
        & cC216(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_201) ).

fof(f983,plain,
    ( spl148_12
    | ~ spl148_7
    | ~ spl148_9 ),
    inference(avatar_split_clause,[],[f982,f943,f935,f955]) ).

fof(f955,plain,
    ( spl148_12
  <=> cC30(iV3102) ),
    introduced(avatar_definition,[new_symbols(naming,[spl148_12])]) ).

fof(f935,plain,
    ( spl148_7
  <=> cC14(iV3102) ),
    introduced(avatar_definition,[new_symbols(naming,[spl148_7])]) ).

fof(f943,plain,
    ( spl148_9
  <=> cC28(iV3102) ),
    introduced(avatar_definition,[new_symbols(naming,[spl148_9])]) ).

fof(f982,plain,
    ( cC30(iV3102)
    | ~ spl148_7
    | ~ spl148_9 ),
    inference(subsumption_resolution,[],[f976,f936]) ).

fof(f936,plain,
    ( cC14(iV3102)
    | ~ spl148_7 ),
    inference(avatar_component_clause,[],[f935]) ).

fof(f976,plain,
    ( cC30(iV3102)
    | ~ cC14(iV3102)
    | ~ spl148_9 ),
    inference(resolution,[],[f944,f591]) ).

fof(f591,plain,
    ! [X0] :
      ( ~ cC28(X0)
      | ~ cC14(X0)
      | cC30(X0) ),
    inference(cnf_transformation,[],[f133]) ).

fof(f133,axiom,
    ! [X0] :
      ( ( cC28(X0)
        & cC14(X0) )
    <=> cC30(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_132) ).

fof(f944,plain,
    ( cC28(iV3102)
    | ~ spl148_9 ),
    inference(avatar_component_clause,[],[f943]) ).

fof(f975,plain,
    spl148_9,
    inference(avatar_split_clause,[],[f974,f943]) ).

fof(f974,plain,
    cC28(iV3102),
    inference(subsumption_resolution,[],[f973,f886]) ).

fof(f886,plain,
    cC16xcomp(iV3102),
    inference(cnf_transformation,[],[f211]) ).

fof(f211,axiom,
    cC16xcomp(iV3102),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_210) ).

fof(f973,plain,
    ( ~ cC16xcomp(iV3102)
    | cC28(iV3102) ),
    inference(resolution,[],[f755,f818]) ).

fof(f818,plain,
    cC26xcomp(iV3102),
    inference(cnf_transformation,[],[f207]) ).

fof(f207,axiom,
    cC26xcomp(iV3102),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_206) ).

fof(f755,plain,
    ! [X0] :
      ( ~ cC26xcomp(X0)
      | ~ cC16xcomp(X0)
      | cC28(X0) ),
    inference(cnf_transformation,[],[f132]) ).

fof(f132,axiom,
    ! [X0] :
      ( ( cC26xcomp(X0)
        & cC16xcomp(X0) )
    <=> cC28(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_131) ).

fof(f970,plain,
    spl148_7,
    inference(avatar_split_clause,[],[f969,f935]) ).

fof(f969,plain,
    cC14(iV3102),
    inference(subsumption_resolution,[],[f968,f872]) ).

fof(f872,plain,
    cC2xcomp(iV3102),
    inference(cnf_transformation,[],[f204]) ).

fof(f204,axiom,
    cC2xcomp(iV3102),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_203) ).

fof(f968,plain,
    ( ~ cC2xcomp(iV3102)
    | cC14(iV3102) ),
    inference(resolution,[],[f686,f767]) ).

fof(f767,plain,
    cC12xcomp(iV3102),
    inference(cnf_transformation,[],[f216]) ).

fof(f216,axiom,
    cC12xcomp(iV3102),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_215) ).

fof(f686,plain,
    ! [X0] :
      ( ~ cC12xcomp(X0)
      | cC14(X0)
      | ~ cC2xcomp(X0) ),
    inference(cnf_transformation,[],[f45]) ).

fof(f45,axiom,
    ! [X0] :
      ( ( cC2xcomp(X0)
        & cC12xcomp(X0) )
    <=> cC14(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_44) ).

fof(f967,plain,
    ( spl148_3
    | ~ spl148_12
    | ~ spl148_10 ),
    inference(avatar_split_clause,[],[f966,f947,f955,f919]) ).

fof(f919,plain,
    ( spl148_3
  <=> cC46(iV3102) ),
    introduced(avatar_definition,[new_symbols(naming,[spl148_3])]) ).

fof(f947,plain,
    ( spl148_10
  <=> cC44(iV3102) ),
    introduced(avatar_definition,[new_symbols(naming,[spl148_10])]) ).

fof(f966,plain,
    ( ~ cC30(iV3102)
    | cC46(iV3102)
    | ~ spl148_10 ),
    inference(resolution,[],[f594,f948]) ).

fof(f948,plain,
    ( cC44(iV3102)
    | ~ spl148_10 ),
    inference(avatar_component_clause,[],[f947]) ).

fof(f594,plain,
    ! [X0] :
      ( ~ cC44(X0)
      | ~ cC30(X0)
      | cC46(X0) ),
    inference(cnf_transformation,[],[f149]) ).

fof(f149,axiom,
    ! [X0] :
      ( ( cC44(X0)
        & cC30(X0) )
    <=> cC46(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_148) ).

fof(f963,plain,
    spl148_10,
    inference(avatar_split_clause,[],[f962,f947]) ).

fof(f962,plain,
    cC44(iV3102),
    inference(subsumption_resolution,[],[f961,f443]) ).

fof(f443,plain,
    cC32xcomp(iV3102),
    inference(cnf_transformation,[],[f208]) ).

fof(f208,axiom,
    cC32xcomp(iV3102),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_207) ).

fof(f961,plain,
    ( ~ cC32xcomp(iV3102)
    | cC44(iV3102) ),
    inference(resolution,[],[f403,f520]) ).

fof(f520,plain,
    cC42xcomp(iV3102),
    inference(cnf_transformation,[],[f212]) ).

fof(f212,axiom,
    cC42xcomp(iV3102),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_211) ).

fof(f403,plain,
    ! [X0] :
      ( ~ cC42xcomp(X0)
      | ~ cC32xcomp(X0)
      | cC44(X0) ),
    inference(cnf_transformation,[],[f148]) ).

fof(f148,axiom,
    ! [X0] :
      ( ( cC32xcomp(X0)
        & cC42xcomp(X0) )
    <=> cC44(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_147) ).

fof(f959,plain,
    ( ~ spl148_5
    | ~ spl148_8
    | ~ spl148_1
    | spl148_4
    | ~ spl148_2
    | spl148_6
    | ~ spl148_12
    | ~ spl148_7
    | ~ spl148_10
    | ~ spl148_11
    | ~ spl148_3
    | ~ spl148_9 ),
    inference(avatar_split_clause,[],[f695,f943,f919,f951,f947,f935,f955,f931,f915,f923,f911,f939,f927]) ).

fof(f695,plain,
    ( ~ cC28(iV3102)
    | ~ cC46(iV3102)
    | ~ cowlThing(sK85)
    | ~ cC44(iV3102)
    | ~ cC14(iV3102)
    | ~ cC30(iV3102)
    | xsd_integer(sK84)
    | ~ xsd_string(sK84)
    | cowlNothing(sK85)
    | ~ cC64(iV3102)
    | ~ cowlThing(iV3102)
    | ~ cC216(iV3102) ),
    inference(cnf_transformation,[],[f380]) ).

fof(f380,plain,
    ( ? [X0] :
        ( cowlNothing(X0)
        | ~ cowlThing(X0) )
    | ~ cC44(iV3102)
    | ~ cC46(iV3102)
    | ~ cC30(iV3102)
    | ~ cC64(iV3102)
    | ~ cowlThing(iV3102)
    | ~ cC14(iV3102)
    | ~ cC216(iV3102)
    | ~ cC28(iV3102)
    | ? [X1] :
        ( ~ xsd_integer(X1)
      <~> xsd_string(X1) ) ),
    inference(ennf_transformation,[],[f222]) ).

fof(f222,plain,
    ~ ( cC46(iV3102)
      & cC44(iV3102)
      & ! [X0] :
          ( cowlThing(X0)
          & ~ cowlNothing(X0) )
      & cC30(iV3102)
      & cowlThing(iV3102)
      & cC216(iV3102)
      & ! [X1] :
          ( xsd_string(X1)
        <=> ~ xsd_integer(X1) )
      & cC14(iV3102)
      & cC64(iV3102)
      & cC28(iV3102) ),
    inference(rectify,[],[f221]) ).

fof(f221,negated_conjecture,
    ~ ( cC28(iV3102)
      & ! [X0] :
          ( cowlThing(X0)
          & ~ cowlNothing(X0) )
      & cC64(iV3102)
      & ! [X0] :
          ( ~ xsd_integer(X0)
        <=> xsd_string(X0) )
      & cC14(iV3102)
      & cC46(iV3102)
      & cC44(iV3102)
      & cowlThing(iV3102)
      & cC30(iV3102)
      & cC216(iV3102) ),
    inference(negated_conjecture,[],[f220]) ).

fof(f220,conjecture,
    ( cC28(iV3102)
    & ! [X0] :
        ( cowlThing(X0)
        & ~ cowlNothing(X0) )
    & cC64(iV3102)
    & ! [X0] :
        ( ~ xsd_integer(X0)
      <=> xsd_string(X0) )
    & cC14(iV3102)
    & cC46(iV3102)
    & cC44(iV3102)
    & cowlThing(iV3102)
    & cC30(iV3102)
    & cC216(iV3102) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).

fof(f958,plain,
    ( ~ spl148_1
    | spl148_2
    | ~ spl148_3
    | spl148_4
    | ~ spl148_5
    | ~ spl148_6
    | ~ spl148_7
    | ~ spl148_8
    | ~ spl148_9
    | ~ spl148_10
    | ~ spl148_11
    | ~ spl148_12 ),
    inference(avatar_split_clause,[],[f696,f955,f951,f947,f943,f939,f935,f931,f927,f923,f919,f915,f911]) ).

fof(f696,plain,
    ( ~ cC30(iV3102)
    | ~ cowlThing(sK85)
    | ~ cC44(iV3102)
    | ~ cC28(iV3102)
    | ~ cowlThing(iV3102)
    | ~ cC14(iV3102)
    | ~ xsd_integer(sK84)
    | ~ cC216(iV3102)
    | cowlNothing(sK85)
    | ~ cC46(iV3102)
    | xsd_string(sK84)
    | ~ cC64(iV3102) ),
    inference(cnf_transformation,[],[f380]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : KRS157+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n003.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 00:36:07 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.49  % (24735)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.49  % (24727)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.20/0.50  % (24735)Instruction limit reached!
% 0.20/0.50  % (24735)------------------------------
% 0.20/0.50  % (24735)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (24727)First to succeed.
% 0.20/0.51  % (24735)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (24735)Termination reason: Unknown
% 0.20/0.51  % (24735)Termination phase: Preprocessing 3
% 0.20/0.51  
% 0.20/0.51  % (24735)Memory used [KB]: 2174
% 0.20/0.51  % (24735)Time elapsed: 0.009 s
% 0.20/0.51  % (24735)Instructions burned: 9 (million)
% 0.20/0.51  % (24735)------------------------------
% 0.20/0.51  % (24735)------------------------------
% 0.20/0.51  % (24727)Refutation found. Thanks to Tanya!
% 0.20/0.51  % SZS status Theorem for theBenchmark
% 0.20/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52  % (24727)------------------------------
% 0.20/0.52  % (24727)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (24727)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (24727)Termination reason: Refutation
% 0.20/0.52  
% 0.20/0.52  % (24727)Memory used [KB]: 6780
% 0.20/0.52  % (24727)Time elapsed: 0.083 s
% 0.20/0.52  % (24727)Instructions burned: 16 (million)
% 0.20/0.52  % (24727)------------------------------
% 0.20/0.52  % (24727)------------------------------
% 0.20/0.52  % (24706)Success in time 0.16 s
%------------------------------------------------------------------------------