TSTP Solution File: KRS155+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : KRS155+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n016.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 07:19:51 EDT 2024

% Result   : Theorem 0.14s 0.38s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   66
% Syntax   : Number of formulae    :  214 (  47 unt;   0 def)
%            Number of atoms       :  718 (   0 equ)
%            Maximal formula atoms :   21 (   3 avg)
%            Number of connectives :  810 ( 306   ~; 313   |; 136   &)
%                                         (  42 <=>;  12  =>;   0  <=;   1 <~>)
%            Maximal formula depth :   21 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   50 (  49 usr;  27 prp; 0-2 aty)
%            Number of functors    :   16 (  16 usr;   9 con; 0-1 aty)
%            Number of variables   :  146 ( 108   !;  38   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3333,plain,
    $false,
    inference(avatar_sat_refutation,[],[f2416,f2418,f2420,f2422,f3004,f3071,f3099,f3162,f3164,f3191,f3194,f3227,f3230,f3231,f3232,f3233,f3234,f3239,f3243,f3290,f3308,f3311,f3315,f3319,f3323,f3327,f3329,f3332]) ).

fof(f3332,plain,
    ( ~ spl69_60
    | ~ spl69_61 ),
    inference(avatar_contradiction_clause,[],[f3331]) ).

fof(f3331,plain,
    ( $false
    | ~ spl69_60
    | ~ spl69_61 ),
    inference(resolution,[],[f3330,f2351]) ).

fof(f2351,plain,
    ( xsd_string(sK0)
    | ~ spl69_60 ),
    inference(avatar_component_clause,[],[f2349]) ).

fof(f2349,plain,
    ( spl69_60
  <=> xsd_string(sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_60])]) ).

fof(f3330,plain,
    ( ~ xsd_string(sK0)
    | ~ spl69_61 ),
    inference(resolution,[],[f2354,f527]) ).

fof(f527,plain,
    ! [X0] :
      ( ~ xsd_integer(X0)
      | ~ xsd_string(X0) ),
    inference(cnf_transformation,[],[f203]) ).

fof(f203,plain,
    ! [X0] :
      ( ( xsd_string(X0)
        | xsd_integer(X0) )
      & ( ~ xsd_integer(X0)
        | ~ xsd_string(X0) ) ),
    inference(nnf_transformation,[],[f2]) ).

fof(f2,axiom,
    ! [X0] :
      ( xsd_string(X0)
    <=> ~ xsd_integer(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).

fof(f2354,plain,
    ( xsd_integer(sK0)
    | ~ spl69_61 ),
    inference(avatar_component_clause,[],[f2353]) ).

fof(f2353,plain,
    ( spl69_61
  <=> xsd_integer(sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_61])]) ).

fof(f3329,plain,
    ~ spl69_59,
    inference(avatar_contradiction_clause,[],[f3328]) ).

fof(f3328,plain,
    ( $false
    | ~ spl69_59 ),
    inference(resolution,[],[f2347,f523]) ).

fof(f523,plain,
    ! [X0] : ~ cowlNothing(X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0] :
      ( ~ cowlNothing(X0)
      & cowlThing(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).

fof(f2347,plain,
    ( cowlNothing(sK1)
    | ~ spl69_59 ),
    inference(avatar_component_clause,[],[f2345]) ).

fof(f2345,plain,
    ( spl69_59
  <=> cowlNothing(sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_59])]) ).

fof(f3327,plain,
    spl69_76,
    inference(avatar_contradiction_clause,[],[f3324]) ).

fof(f3324,plain,
    ( $false
    | spl69_76 ),
    inference(resolution,[],[f2415,f510]) ).

fof(f510,plain,
    cowlThing(iV8472),
    inference(cnf_transformation,[],[f124]) ).

fof(f124,axiom,
    cowlThing(iV8472),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_123) ).

fof(f2415,plain,
    ( ~ cowlThing(iV8472)
    | spl69_76 ),
    inference(avatar_component_clause,[],[f2413]) ).

fof(f2413,plain,
    ( spl69_76
  <=> cowlThing(iV8472) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_76])]) ).

fof(f3323,plain,
    spl69_72,
    inference(avatar_contradiction_clause,[],[f3320]) ).

fof(f3320,plain,
    ( $false
    | spl69_72 ),
    inference(resolution,[],[f2399,f511]) ).

fof(f511,plain,
    cowlThing(iV8471),
    inference(cnf_transformation,[],[f121]) ).

fof(f121,axiom,
    cowlThing(iV8471),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_120) ).

fof(f2399,plain,
    ( ~ cowlThing(iV8471)
    | spl69_72 ),
    inference(avatar_component_clause,[],[f2397]) ).

fof(f2397,plain,
    ( spl69_72
  <=> cowlThing(iV8471) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_72])]) ).

fof(f3319,plain,
    spl69_70,
    inference(avatar_contradiction_clause,[],[f3316]) ).

fof(f3316,plain,
    ( $false
    | spl69_70 ),
    inference(resolution,[],[f2391,f512]) ).

fof(f512,plain,
    cowlThing(iV8467),
    inference(cnf_transformation,[],[f103]) ).

fof(f103,axiom,
    cowlThing(iV8467),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_102) ).

fof(f2391,plain,
    ( ~ cowlThing(iV8467)
    | spl69_70 ),
    inference(avatar_component_clause,[],[f2389]) ).

fof(f2389,plain,
    ( spl69_70
  <=> cowlThing(iV8467) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_70])]) ).

fof(f3315,plain,
    ( ~ spl69_63
    | ~ spl69_64
    | spl69_69 ),
    inference(avatar_split_clause,[],[f3312,f2385,f2365,f2361]) ).

fof(f2361,plain,
    ( spl69_63
  <=> cC4(iV8467) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_63])]) ).

fof(f2365,plain,
    ( spl69_64
  <=> cC8(iV8467) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_64])]) ).

fof(f2385,plain,
    ( spl69_69
  <=> cC10(iV8467) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_69])]) ).

fof(f3312,plain,
    ( ~ cC8(iV8467)
    | ~ cC4(iV8467)
    | spl69_69 ),
    inference(resolution,[],[f2387,f665]) ).

fof(f665,plain,
    ! [X0] :
      ( cC10(X0)
      | ~ cC8(X0)
      | ~ cC4(X0) ),
    inference(cnf_transformation,[],[f187]) ).

fof(f187,plain,
    ! [X0] :
      ( cC10(X0)
      | ~ cC8(X0)
      | ~ cC4(X0) ),
    inference(flattening,[],[f186]) ).

fof(f186,plain,
    ! [X0] :
      ( cC10(X0)
      | ~ cC8(X0)
      | ~ cC4(X0) ),
    inference(ennf_transformation,[],[f162]) ).

fof(f162,plain,
    ! [X0] :
      ( ( cC8(X0)
        & cC4(X0) )
     => cC10(X0) ),
    inference(unused_predicate_definition_removal,[],[f3]) ).

fof(f3,axiom,
    ! [X0] :
      ( cC10(X0)
    <=> ( cC8(X0)
        & cC4(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).

fof(f2387,plain,
    ( ~ cC10(iV8467)
    | spl69_69 ),
    inference(avatar_component_clause,[],[f2385]) ).

fof(f3311,plain,
    spl69_235,
    inference(avatar_contradiction_clause,[],[f3309]) ).

fof(f3309,plain,
    ( $false
    | spl69_235 ),
    inference(resolution,[],[f3307,f501]) ).

fof(f501,plain,
    cC2xcomp(iV8472),
    inference(cnf_transformation,[],[f123]) ).

fof(f123,axiom,
    cC2xcomp(iV8472),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_122) ).

fof(f3307,plain,
    ( ~ cC2xcomp(iV8472)
    | spl69_235 ),
    inference(avatar_component_clause,[],[f3305]) ).

fof(f3305,plain,
    ( spl69_235
  <=> cC2xcomp(iV8472) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_235])]) ).

fof(f3308,plain,
    ( ~ spl69_235
    | ~ spl69_74
    | spl69_75 ),
    inference(avatar_split_clause,[],[f3291,f2409,f2405,f3305]) ).

fof(f2405,plain,
    ( spl69_74
  <=> cC58(iV8472) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_74])]) ).

fof(f2409,plain,
    ( spl69_75
  <=> cC60(iV8472) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_75])]) ).

fof(f3291,plain,
    ( ~ cC58(iV8472)
    | ~ cC2xcomp(iV8472)
    | spl69_75 ),
    inference(resolution,[],[f2411,f671]) ).

fof(f671,plain,
    ! [X0] :
      ( cC60(X0)
      | ~ cC58(X0)
      | ~ cC2xcomp(X0) ),
    inference(cnf_transformation,[],[f409]) ).

fof(f409,plain,
    ! [X0] :
      ( ( cC60(X0)
        | ~ cC58(X0)
        | ~ cC2xcomp(X0) )
      & ( ( cC58(X0)
          & cC2xcomp(X0) )
        | ~ cC60(X0) ) ),
    inference(flattening,[],[f408]) ).

fof(f408,plain,
    ! [X0] :
      ( ( cC60(X0)
        | ~ cC58(X0)
        | ~ cC2xcomp(X0) )
      & ( ( cC58(X0)
          & cC2xcomp(X0) )
        | ~ cC60(X0) ) ),
    inference(nnf_transformation,[],[f62]) ).

fof(f62,axiom,
    ! [X0] :
      ( cC60(X0)
    <=> ( cC58(X0)
        & cC2xcomp(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_61) ).

fof(f2411,plain,
    ( ~ cC60(iV8472)
    | spl69_75 ),
    inference(avatar_component_clause,[],[f2409]) ).

fof(f3290,plain,
    ( spl69_66
    | ~ spl69_75 ),
    inference(avatar_split_clause,[],[f2028,f2409,f2373]) ).

fof(f2373,plain,
    ( spl69_66
  <=> cC62(iV8467) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_66])]) ).

fof(f2028,plain,
    ( ~ cC60(iV8472)
    | cC62(iV8467) ),
    inference(resolution,[],[f689,f520]) ).

fof(f520,plain,
    rR1(iV8467,iV8472),
    inference(cnf_transformation,[],[f111]) ).

fof(f111,axiom,
    rR1(iV8467,iV8472),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_110) ).

fof(f689,plain,
    ! [X0,X1] :
      ( ~ rR1(X0,X1)
      | ~ cC60(X1)
      | cC62(X0) ),
    inference(cnf_transformation,[],[f441]) ).

fof(f441,plain,
    ! [X0] :
      ( ( cC62(X0)
        | ! [X1] :
            ( ~ cC60(X1)
            | ~ rR1(X0,X1) ) )
      & ( ( cC60(sK56(X0))
          & rR1(X0,sK56(X0)) )
        | ~ cC62(X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK56])],[f439,f440]) ).

fof(f440,plain,
    ! [X0] :
      ( ? [X2] :
          ( cC60(X2)
          & rR1(X0,X2) )
     => ( cC60(sK56(X0))
        & rR1(X0,sK56(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f439,plain,
    ! [X0] :
      ( ( cC62(X0)
        | ! [X1] :
            ( ~ cC60(X1)
            | ~ rR1(X0,X1) ) )
      & ( ? [X2] :
            ( cC60(X2)
            & rR1(X0,X2) )
        | ~ cC62(X0) ) ),
    inference(rectify,[],[f438]) ).

fof(f438,plain,
    ! [X0] :
      ( ( cC62(X0)
        | ! [X1] :
            ( ~ cC60(X1)
            | ~ rR1(X0,X1) ) )
      & ( ? [X1] :
            ( cC60(X1)
            & rR1(X0,X1) )
        | ~ cC62(X0) ) ),
    inference(nnf_transformation,[],[f63]) ).

fof(f63,axiom,
    ! [X0] :
      ( cC62(X0)
    <=> ? [X1] :
          ( cC60(X1)
          & rR1(X0,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_62) ).

fof(f3243,plain,
    spl69_225,
    inference(avatar_contradiction_clause,[],[f3240]) ).

fof(f3240,plain,
    ( $false
    | spl69_225 ),
    inference(resolution,[],[f3238,f496]) ).

fof(f496,plain,
    cC78xcomp(iV8471),
    inference(cnf_transformation,[],[f119]) ).

fof(f119,axiom,
    cC78xcomp(iV8471),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_118) ).

fof(f3238,plain,
    ( ~ cC78xcomp(iV8471)
    | spl69_225 ),
    inference(avatar_component_clause,[],[f3236]) ).

fof(f3236,plain,
    ( spl69_225
  <=> cC78xcomp(iV8471) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_225])]) ).

fof(f3239,plain,
    ( ~ spl69_225
    | ~ spl69_197
    | spl69_73 ),
    inference(avatar_split_clause,[],[f3100,f2401,f3065,f3236]) ).

fof(f3065,plain,
    ( spl69_197
  <=> cC2xcomp(iV8471) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_197])]) ).

fof(f2401,plain,
    ( spl69_73
  <=> cC80(iV8471) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_73])]) ).

fof(f3100,plain,
    ( ~ cC2xcomp(iV8471)
    | ~ cC78xcomp(iV8471)
    | spl69_73 ),
    inference(resolution,[],[f2403,f668]) ).

fof(f668,plain,
    ! [X0] :
      ( cC80(X0)
      | ~ cC2xcomp(X0)
      | ~ cC78xcomp(X0) ),
    inference(cnf_transformation,[],[f407]) ).

fof(f407,plain,
    ! [X0] :
      ( ( cC80(X0)
        | ~ cC2xcomp(X0)
        | ~ cC78xcomp(X0) )
      & ( ( cC2xcomp(X0)
          & cC78xcomp(X0) )
        | ~ cC80(X0) ) ),
    inference(flattening,[],[f406]) ).

fof(f406,plain,
    ! [X0] :
      ( ( cC80(X0)
        | ~ cC2xcomp(X0)
        | ~ cC78xcomp(X0) )
      & ( ( cC2xcomp(X0)
          & cC78xcomp(X0) )
        | ~ cC80(X0) ) ),
    inference(nnf_transformation,[],[f81]) ).

fof(f81,axiom,
    ! [X0] :
      ( cC80(X0)
    <=> ( cC2xcomp(X0)
        & cC78xcomp(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_80) ).

fof(f2403,plain,
    ( ~ cC80(iV8471)
    | spl69_73 ),
    inference(avatar_component_clause,[],[f2401]) ).

fof(f3234,plain,
    ( spl69_62
    | ~ spl69_197 ),
    inference(avatar_split_clause,[],[f2298,f3065,f2357]) ).

fof(f2357,plain,
    ( spl69_62
  <=> cC20(iV8467) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_62])]) ).

fof(f2298,plain,
    ( ~ cC2xcomp(iV8471)
    | cC20(iV8467) ),
    inference(resolution,[],[f706,f521]) ).

fof(f521,plain,
    rR1(iV8467,iV8471),
    inference(cnf_transformation,[],[f104]) ).

fof(f104,axiom,
    rR1(iV8467,iV8471),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_103) ).

fof(f706,plain,
    ! [X0,X1] :
      ( ~ rR1(X0,X1)
      | ~ cC2xcomp(X1)
      | cC20(X0) ),
    inference(cnf_transformation,[],[f461]) ).

fof(f461,plain,
    ! [X0] :
      ( ( cC20(X0)
        | ! [X1] :
            ( ~ cC2xcomp(X1)
            | ~ rR1(X0,X1) ) )
      & ( ( cC2xcomp(sK61(X0))
          & rR1(X0,sK61(X0)) )
        | ~ cC20(X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK61])],[f459,f460]) ).

fof(f460,plain,
    ! [X0] :
      ( ? [X2] :
          ( cC2xcomp(X2)
          & rR1(X0,X2) )
     => ( cC2xcomp(sK61(X0))
        & rR1(X0,sK61(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f459,plain,
    ! [X0] :
      ( ( cC20(X0)
        | ! [X1] :
            ( ~ cC2xcomp(X1)
            | ~ rR1(X0,X1) ) )
      & ( ? [X2] :
            ( cC2xcomp(X2)
            & rR1(X0,X2) )
        | ~ cC20(X0) ) ),
    inference(rectify,[],[f458]) ).

fof(f458,plain,
    ! [X0] :
      ( ( cC20(X0)
        | ! [X1] :
            ( ~ cC2xcomp(X1)
            | ~ rR1(X0,X1) ) )
      & ( ? [X1] :
            ( cC2xcomp(X1)
            & rR1(X0,X1) )
        | ~ cC20(X0) ) ),
    inference(nnf_transformation,[],[f14]) ).

fof(f14,axiom,
    ! [X0] :
      ( cC20(X0)
    <=> ? [X1] :
          ( cC2xcomp(X1)
          & rR1(X0,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_13) ).

fof(f3233,plain,
    ( spl69_71
    | ~ spl69_197 ),
    inference(avatar_split_clause,[],[f2261,f3065,f2393]) ).

fof(f2393,plain,
    ( spl69_71
  <=> cC48(iV8467) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_71])]) ).

fof(f2261,plain,
    ( ~ cC2xcomp(iV8471)
    | cC48(iV8467) ),
    inference(resolution,[],[f703,f521]) ).

fof(f703,plain,
    ! [X0,X1] :
      ( ~ rR1(X0,X1)
      | ~ cC2xcomp(X1)
      | cC48(X0) ),
    inference(cnf_transformation,[],[f457]) ).

fof(f457,plain,
    ! [X0] :
      ( ( cC48(X0)
        | ! [X1] :
            ( ~ cC2xcomp(X1)
            | ~ rR1(X0,X1) ) )
      & ( ( cC2xcomp(sK60(X0))
          & rR1(X0,sK60(X0)) )
        | ~ cC48(X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK60])],[f455,f456]) ).

fof(f456,plain,
    ! [X0] :
      ( ? [X2] :
          ( cC2xcomp(X2)
          & rR1(X0,X2) )
     => ( cC2xcomp(sK60(X0))
        & rR1(X0,sK60(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f455,plain,
    ! [X0] :
      ( ( cC48(X0)
        | ! [X1] :
            ( ~ cC2xcomp(X1)
            | ~ rR1(X0,X1) ) )
      & ( ? [X2] :
            ( cC2xcomp(X2)
            & rR1(X0,X2) )
        | ~ cC48(X0) ) ),
    inference(rectify,[],[f454]) ).

fof(f454,plain,
    ! [X0] :
      ( ( cC48(X0)
        | ! [X1] :
            ( ~ cC2xcomp(X1)
            | ~ rR1(X0,X1) ) )
      & ( ? [X1] :
            ( cC2xcomp(X1)
            & rR1(X0,X1) )
        | ~ cC48(X0) ) ),
    inference(nnf_transformation,[],[f45]) ).

fof(f45,axiom,
    ! [X0] :
      ( cC48(X0)
    <=> ? [X1] :
          ( cC2xcomp(X1)
          & rR1(X0,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_44) ).

fof(f3232,plain,
    ( spl69_63
    | ~ spl69_197 ),
    inference(avatar_split_clause,[],[f2218,f3065,f2361]) ).

fof(f2218,plain,
    ( ~ cC2xcomp(iV8471)
    | cC4(iV8467) ),
    inference(resolution,[],[f700,f521]) ).

fof(f700,plain,
    ! [X0,X1] :
      ( ~ rR1(X0,X1)
      | ~ cC2xcomp(X1)
      | cC4(X0) ),
    inference(cnf_transformation,[],[f191]) ).

fof(f191,plain,
    ! [X0] :
      ( cC4(X0)
      | ! [X1] :
          ( ~ cC2xcomp(X1)
          | ~ rR1(X0,X1) ) ),
    inference(ennf_transformation,[],[f164]) ).

fof(f164,plain,
    ! [X0] :
      ( ? [X1] :
          ( cC2xcomp(X1)
          & rR1(X0,X1) )
     => cC4(X0) ),
    inference(unused_predicate_definition_removal,[],[f36]) ).

fof(f36,axiom,
    ! [X0] :
      ( cC4(X0)
    <=> ? [X1] :
          ( cC2xcomp(X1)
          & rR1(X0,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_35) ).

fof(f3231,plain,
    ( spl69_74
    | ~ spl69_184 ),
    inference(avatar_split_clause,[],[f2180,f2999,f2405]) ).

fof(f2999,plain,
    ( spl69_184
  <=> cC2(iV8476) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_184])]) ).

fof(f2180,plain,
    ( ~ cC2(iV8476)
    | cC58(iV8472) ),
    inference(resolution,[],[f699,f513]) ).

fof(f513,plain,
    rR1(iV8472,iV8476),
    inference(cnf_transformation,[],[f125]) ).

fof(f125,axiom,
    rR1(iV8472,iV8476),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_124) ).

fof(f699,plain,
    ! [X0,X1] :
      ( ~ rR1(X0,X1)
      | ~ cC2(X1)
      | cC58(X0) ),
    inference(cnf_transformation,[],[f453]) ).

fof(f453,plain,
    ! [X0] :
      ( ( cC58(X0)
        | ! [X1] :
            ( ~ cC2(X1)
            | ~ rR1(X0,X1) ) )
      & ( ( cC2(sK59(X0))
          & rR1(X0,sK59(X0)) )
        | ~ cC58(X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK59])],[f451,f452]) ).

fof(f452,plain,
    ! [X0] :
      ( ? [X2] :
          ( cC2(X2)
          & rR1(X0,X2) )
     => ( cC2(sK59(X0))
        & rR1(X0,sK59(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f451,plain,
    ! [X0] :
      ( ( cC58(X0)
        | ! [X1] :
            ( ~ cC2(X1)
            | ~ rR1(X0,X1) ) )
      & ( ? [X2] :
            ( cC2(X2)
            & rR1(X0,X2) )
        | ~ cC58(X0) ) ),
    inference(rectify,[],[f450]) ).

fof(f450,plain,
    ! [X0] :
      ( ( cC58(X0)
        | ! [X1] :
            ( ~ cC2(X1)
            | ~ rR1(X0,X1) ) )
      & ( ? [X1] :
            ( cC2(X1)
            & rR1(X0,X1) )
        | ~ cC58(X0) ) ),
    inference(nnf_transformation,[],[f58]) ).

fof(f58,axiom,
    ! [X0] :
      ( cC58(X0)
    <=> ? [X1] :
          ( cC2(X1)
          & rR1(X0,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_57) ).

fof(f3230,plain,
    spl69_224,
    inference(avatar_contradiction_clause,[],[f3228]) ).

fof(f3228,plain,
    ( $false
    | spl69_224 ),
    inference(resolution,[],[f3226,f494]) ).

fof(f494,plain,
    cC32xcomp(iV8474),
    inference(cnf_transformation,[],[f128]) ).

fof(f128,axiom,
    cC32xcomp(iV8474),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_127) ).

fof(f3226,plain,
    ( ~ cC32xcomp(iV8474)
    | spl69_224 ),
    inference(avatar_component_clause,[],[f3224]) ).

fof(f3224,plain,
    ( spl69_224
  <=> cC32xcomp(iV8474) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_224])]) ).

fof(f3227,plain,
    ( spl69_68
    | ~ spl69_224 ),
    inference(avatar_split_clause,[],[f2141,f3224,f2381]) ).

fof(f2381,plain,
    ( spl69_68
  <=> cC34(iV8467) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_68])]) ).

fof(f2141,plain,
    ( ~ cC32xcomp(iV8474)
    | cC34(iV8467) ),
    inference(resolution,[],[f696,f518]) ).

fof(f518,plain,
    rR1(iV8467,iV8474),
    inference(cnf_transformation,[],[f107]) ).

fof(f107,axiom,
    rR1(iV8467,iV8474),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_106) ).

fof(f696,plain,
    ! [X0,X1] :
      ( ~ rR1(X0,X1)
      | ~ cC32xcomp(X1)
      | cC34(X0) ),
    inference(cnf_transformation,[],[f449]) ).

fof(f449,plain,
    ! [X0] :
      ( ( cC34(X0)
        | ! [X1] :
            ( ~ cC32xcomp(X1)
            | ~ rR1(X0,X1) ) )
      & ( ( cC32xcomp(sK58(X0))
          & rR1(X0,sK58(X0)) )
        | ~ cC34(X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK58])],[f447,f448]) ).

fof(f448,plain,
    ! [X0] :
      ( ? [X2] :
          ( cC32xcomp(X2)
          & rR1(X0,X2) )
     => ( cC32xcomp(sK58(X0))
        & rR1(X0,sK58(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f447,plain,
    ! [X0] :
      ( ( cC34(X0)
        | ! [X1] :
            ( ~ cC32xcomp(X1)
            | ~ rR1(X0,X1) ) )
      & ( ? [X2] :
            ( cC32xcomp(X2)
            & rR1(X0,X2) )
        | ~ cC34(X0) ) ),
    inference(rectify,[],[f446]) ).

fof(f446,plain,
    ! [X0] :
      ( ( cC34(X0)
        | ! [X1] :
            ( ~ cC32xcomp(X1)
            | ~ rR1(X0,X1) ) )
      & ( ? [X1] :
            ( cC32xcomp(X1)
            & rR1(X0,X1) )
        | ~ cC34(X0) ) ),
    inference(nnf_transformation,[],[f30]) ).

fof(f30,axiom,
    ! [X0] :
      ( cC34(X0)
    <=> ? [X1] :
          ( cC32xcomp(X1)
          & rR1(X0,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_29) ).

fof(f3194,plain,
    spl69_218,
    inference(avatar_contradiction_clause,[],[f3192]) ).

fof(f3192,plain,
    ( $false
    | spl69_218 ),
    inference(resolution,[],[f3190,f495]) ).

fof(f495,plain,
    cC6xcomp(iV8469),
    inference(cnf_transformation,[],[f114]) ).

fof(f114,axiom,
    cC6xcomp(iV8469),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_113) ).

fof(f3190,plain,
    ( ~ cC6xcomp(iV8469)
    | spl69_218 ),
    inference(avatar_component_clause,[],[f3188]) ).

fof(f3188,plain,
    ( spl69_218
  <=> cC6xcomp(iV8469) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_218])]) ).

fof(f3191,plain,
    ( spl69_64
    | ~ spl69_218 ),
    inference(avatar_split_clause,[],[f2103,f3188,f2365]) ).

fof(f2103,plain,
    ( ~ cC6xcomp(iV8469)
    | cC8(iV8467) ),
    inference(resolution,[],[f693,f519]) ).

fof(f519,plain,
    rR1(iV8467,iV8469),
    inference(cnf_transformation,[],[f106]) ).

fof(f106,axiom,
    rR1(iV8467,iV8469),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_105) ).

fof(f693,plain,
    ! [X0,X1] :
      ( ~ rR1(X0,X1)
      | ~ cC6xcomp(X1)
      | cC8(X0) ),
    inference(cnf_transformation,[],[f190]) ).

fof(f190,plain,
    ! [X0] :
      ( cC8(X0)
      | ! [X1] :
          ( ~ cC6xcomp(X1)
          | ~ rR1(X0,X1) ) ),
    inference(ennf_transformation,[],[f163]) ).

fof(f163,plain,
    ! [X0] :
      ( ? [X1] :
          ( cC6xcomp(X1)
          & rR1(X0,X1) )
     => cC8(X0) ),
    inference(unused_predicate_definition_removal,[],[f80]) ).

fof(f80,axiom,
    ! [X0] :
      ( cC8(X0)
    <=> ? [X1] :
          ( cC6xcomp(X1)
          & rR1(X0,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_79) ).

fof(f3164,plain,
    spl69_213,
    inference(avatar_contradiction_clause,[],[f3163]) ).

fof(f3163,plain,
    ( $false
    | spl69_213 ),
    inference(resolution,[],[f3161,f488]) ).

fof(f488,plain,
    cTOP(iV8470),
    inference(cnf_transformation,[],[f117]) ).

fof(f117,axiom,
    cTOP(iV8470),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_116) ).

fof(f3161,plain,
    ( ~ cTOP(iV8470)
    | spl69_213 ),
    inference(avatar_component_clause,[],[f3159]) ).

fof(f3159,plain,
    ( spl69_213
  <=> cTOP(iV8470) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_213])]) ).

fof(f3162,plain,
    ( spl69_67
    | ~ spl69_213 ),
    inference(avatar_split_clause,[],[f2059,f3159,f2377]) ).

fof(f2377,plain,
    ( spl69_67
  <=> cC14(iV8467) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_67])]) ).

fof(f2059,plain,
    ( ~ cTOP(iV8470)
    | cC14(iV8467) ),
    inference(resolution,[],[f692,f514]) ).

fof(f514,plain,
    rR1(iV8467,iV8470),
    inference(cnf_transformation,[],[f105]) ).

fof(f105,axiom,
    rR1(iV8467,iV8470),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_104) ).

fof(f692,plain,
    ! [X0,X1] :
      ( ~ rR1(X0,X1)
      | ~ cTOP(X1)
      | cC14(X0) ),
    inference(cnf_transformation,[],[f445]) ).

fof(f445,plain,
    ! [X0] :
      ( ( cC14(X0)
        | ! [X1] :
            ( ~ cTOP(X1)
            | ~ rR1(X0,X1) ) )
      & ( ( cTOP(sK57(X0))
          & rR1(X0,sK57(X0)) )
        | ~ cC14(X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK57])],[f443,f444]) ).

fof(f444,plain,
    ! [X0] :
      ( ? [X2] :
          ( cTOP(X2)
          & rR1(X0,X2) )
     => ( cTOP(sK57(X0))
        & rR1(X0,sK57(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f443,plain,
    ! [X0] :
      ( ( cC14(X0)
        | ! [X1] :
            ( ~ cTOP(X1)
            | ~ rR1(X0,X1) ) )
      & ( ? [X2] :
            ( cTOP(X2)
            & rR1(X0,X2) )
        | ~ cC14(X0) ) ),
    inference(rectify,[],[f442]) ).

fof(f442,plain,
    ! [X0] :
      ( ( cC14(X0)
        | ! [X1] :
            ( ~ cTOP(X1)
            | ~ rR1(X0,X1) ) )
      & ( ? [X1] :
            ( cTOP(X1)
            & rR1(X0,X1) )
        | ~ cC14(X0) ) ),
    inference(nnf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X0] :
      ( cC14(X0)
    <=> ? [X1] :
          ( cTOP(X1)
          & rR1(X0,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).

fof(f3099,plain,
    ( spl69_65
    | ~ spl69_73 ),
    inference(avatar_split_clause,[],[f1974,f2401,f2369]) ).

fof(f2369,plain,
    ( spl69_65
  <=> cC82(iV8467) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_65])]) ).

fof(f1974,plain,
    ( ~ cC80(iV8471)
    | cC82(iV8467) ),
    inference(resolution,[],[f686,f521]) ).

fof(f686,plain,
    ! [X0,X1] :
      ( ~ rR1(X0,X1)
      | ~ cC80(X1)
      | cC82(X0) ),
    inference(cnf_transformation,[],[f437]) ).

fof(f437,plain,
    ! [X0] :
      ( ( cC82(X0)
        | ! [X1] :
            ( ~ cC80(X1)
            | ~ rR1(X0,X1) ) )
      & ( ( cC80(sK55(X0))
          & rR1(X0,sK55(X0)) )
        | ~ cC82(X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK55])],[f435,f436]) ).

fof(f436,plain,
    ! [X0] :
      ( ? [X2] :
          ( cC80(X2)
          & rR1(X0,X2) )
     => ( cC80(sK55(X0))
        & rR1(X0,sK55(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f435,plain,
    ! [X0] :
      ( ( cC82(X0)
        | ! [X1] :
            ( ~ cC80(X1)
            | ~ rR1(X0,X1) ) )
      & ( ? [X2] :
            ( cC80(X2)
            & rR1(X0,X2) )
        | ~ cC82(X0) ) ),
    inference(rectify,[],[f434]) ).

fof(f434,plain,
    ! [X0] :
      ( ( cC82(X0)
        | ! [X1] :
            ( ~ cC80(X1)
            | ~ rR1(X0,X1) ) )
      & ( ? [X1] :
            ( cC80(X1)
            & rR1(X0,X1) )
        | ~ cC82(X0) ) ),
    inference(nnf_transformation,[],[f83]) ).

fof(f83,axiom,
    ! [X0] :
      ( cC82(X0)
    <=> ? [X1] :
          ( cC80(X1)
          & rR1(X0,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_82) ).

fof(f3071,plain,
    spl69_197,
    inference(avatar_contradiction_clause,[],[f3069]) ).

fof(f3069,plain,
    ( $false
    | spl69_197 ),
    inference(resolution,[],[f3067,f502]) ).

fof(f502,plain,
    cC2xcomp(iV8471),
    inference(cnf_transformation,[],[f120]) ).

fof(f120,axiom,
    cC2xcomp(iV8471),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_119) ).

fof(f3067,plain,
    ( ~ cC2xcomp(iV8471)
    | spl69_197 ),
    inference(avatar_component_clause,[],[f3065]) ).

fof(f3004,plain,
    spl69_184,
    inference(avatar_contradiction_clause,[],[f3003]) ).

fof(f3003,plain,
    ( $false
    | spl69_184 ),
    inference(resolution,[],[f3001,f497]) ).

fof(f497,plain,
    cC2(iV8476),
    inference(cnf_transformation,[],[f133]) ).

fof(f133,axiom,
    cC2(iV8476),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_132) ).

fof(f3001,plain,
    ( ~ cC2(iV8476)
    | spl69_184 ),
    inference(avatar_component_clause,[],[f2999]) ).

fof(f2422,plain,
    ( spl69_60
    | spl69_61 ),
    inference(avatar_contradiction_clause,[],[f2421]) ).

fof(f2421,plain,
    ( $false
    | spl69_60
    | spl69_61 ),
    inference(resolution,[],[f2350,f2419]) ).

fof(f2419,plain,
    ( xsd_string(sK0)
    | spl69_61 ),
    inference(resolution,[],[f2355,f528]) ).

fof(f528,plain,
    ! [X0] :
      ( xsd_integer(X0)
      | xsd_string(X0) ),
    inference(cnf_transformation,[],[f203]) ).

fof(f2355,plain,
    ( ~ xsd_integer(sK0)
    | spl69_61 ),
    inference(avatar_component_clause,[],[f2353]) ).

fof(f2350,plain,
    ( ~ xsd_string(sK0)
    | spl69_60 ),
    inference(avatar_component_clause,[],[f2349]) ).

fof(f2420,plain,
    ( ~ spl69_58
    | spl69_59
    | ~ spl69_60
    | spl69_61
    | ~ spl69_62
    | ~ spl69_63
    | ~ spl69_64
    | ~ spl69_65
    | ~ spl69_66
    | ~ spl69_67
    | ~ spl69_68
    | ~ spl69_69
    | ~ spl69_70
    | ~ spl69_71
    | ~ spl69_72
    | ~ spl69_73
    | ~ spl69_74
    | ~ spl69_75
    | ~ spl69_76 ),
    inference(avatar_split_clause,[],[f487,f2413,f2409,f2405,f2401,f2397,f2393,f2389,f2385,f2381,f2377,f2373,f2369,f2365,f2361,f2357,f2353,f2349,f2345,f2341]) ).

fof(f2341,plain,
    ( spl69_58
  <=> cowlThing(sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl69_58])]) ).

fof(f487,plain,
    ( ~ cowlThing(iV8472)
    | ~ cC60(iV8472)
    | ~ cC58(iV8472)
    | ~ cC80(iV8471)
    | ~ cowlThing(iV8471)
    | ~ cC48(iV8467)
    | ~ cowlThing(iV8467)
    | ~ cC10(iV8467)
    | ~ cC34(iV8467)
    | ~ cC14(iV8467)
    | ~ cC62(iV8467)
    | ~ cC82(iV8467)
    | ~ cC8(iV8467)
    | ~ cC4(iV8467)
    | ~ cC20(iV8467)
    | xsd_integer(sK0)
    | ~ xsd_string(sK0)
    | cowlNothing(sK1)
    | ~ cowlThing(sK1) ),
    inference(cnf_transformation,[],[f202]) ).

fof(f202,plain,
    ( ~ cowlThing(iV8472)
    | ~ cC60(iV8472)
    | ~ cC58(iV8472)
    | ~ cC80(iV8471)
    | ~ cowlThing(iV8471)
    | ~ cC48(iV8467)
    | ~ cowlThing(iV8467)
    | ~ cC10(iV8467)
    | ~ cC34(iV8467)
    | ~ cC14(iV8467)
    | ~ cC62(iV8467)
    | ~ cC82(iV8467)
    | ~ cC8(iV8467)
    | ~ cC4(iV8467)
    | ~ cC20(iV8467)
    | ( ( xsd_integer(sK0)
        | ~ xsd_string(sK0) )
      & ( ~ xsd_integer(sK0)
        | xsd_string(sK0) ) )
    | cowlNothing(sK1)
    | ~ cowlThing(sK1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f199,f201,f200]) ).

fof(f200,plain,
    ( ? [X0] :
        ( ( xsd_integer(X0)
          | ~ xsd_string(X0) )
        & ( ~ xsd_integer(X0)
          | xsd_string(X0) ) )
   => ( ( xsd_integer(sK0)
        | ~ xsd_string(sK0) )
      & ( ~ xsd_integer(sK0)
        | xsd_string(sK0) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f201,plain,
    ( ? [X1] :
        ( cowlNothing(X1)
        | ~ cowlThing(X1) )
   => ( cowlNothing(sK1)
      | ~ cowlThing(sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f199,plain,
    ( ~ cowlThing(iV8472)
    | ~ cC60(iV8472)
    | ~ cC58(iV8472)
    | ~ cC80(iV8471)
    | ~ cowlThing(iV8471)
    | ~ cC48(iV8467)
    | ~ cowlThing(iV8467)
    | ~ cC10(iV8467)
    | ~ cC34(iV8467)
    | ~ cC14(iV8467)
    | ~ cC62(iV8467)
    | ~ cC82(iV8467)
    | ~ cC8(iV8467)
    | ~ cC4(iV8467)
    | ~ cC20(iV8467)
    | ? [X0] :
        ( ( xsd_integer(X0)
          | ~ xsd_string(X0) )
        & ( ~ xsd_integer(X0)
          | xsd_string(X0) ) )
    | ? [X1] :
        ( cowlNothing(X1)
        | ~ cowlThing(X1) ) ),
    inference(nnf_transformation,[],[f170]) ).

fof(f170,plain,
    ( ~ cowlThing(iV8472)
    | ~ cC60(iV8472)
    | ~ cC58(iV8472)
    | ~ cC80(iV8471)
    | ~ cowlThing(iV8471)
    | ~ cC48(iV8467)
    | ~ cowlThing(iV8467)
    | ~ cC10(iV8467)
    | ~ cC34(iV8467)
    | ~ cC14(iV8467)
    | ~ cC62(iV8467)
    | ~ cC82(iV8467)
    | ~ cC8(iV8467)
    | ~ cC4(iV8467)
    | ~ cC20(iV8467)
    | ? [X0] :
        ( xsd_string(X0)
      <~> ~ xsd_integer(X0) )
    | ? [X1] :
        ( cowlNothing(X1)
        | ~ cowlThing(X1) ) ),
    inference(ennf_transformation,[],[f137]) ).

fof(f137,plain,
    ~ ( cowlThing(iV8472)
      & cC60(iV8472)
      & cC58(iV8472)
      & cC80(iV8471)
      & cowlThing(iV8471)
      & cC48(iV8467)
      & cowlThing(iV8467)
      & cC10(iV8467)
      & cC34(iV8467)
      & cC14(iV8467)
      & cC62(iV8467)
      & cC82(iV8467)
      & cC8(iV8467)
      & cC4(iV8467)
      & cC20(iV8467)
      & ! [X0] :
          ( xsd_string(X0)
        <=> ~ xsd_integer(X0) )
      & ! [X1] :
          ( ~ cowlNothing(X1)
          & cowlThing(X1) ) ),
    inference(rectify,[],[f136]) ).

fof(f136,negated_conjecture,
    ~ ( cowlThing(iV8472)
      & cC60(iV8472)
      & cC58(iV8472)
      & cC80(iV8471)
      & cowlThing(iV8471)
      & cC48(iV8467)
      & cowlThing(iV8467)
      & cC10(iV8467)
      & cC34(iV8467)
      & cC14(iV8467)
      & cC62(iV8467)
      & cC82(iV8467)
      & cC8(iV8467)
      & cC4(iV8467)
      & cC20(iV8467)
      & ! [X0] :
          ( xsd_string(X0)
        <=> ~ xsd_integer(X0) )
      & ! [X0] :
          ( ~ cowlNothing(X0)
          & cowlThing(X0) ) ),
    inference(negated_conjecture,[],[f135]) ).

fof(f135,conjecture,
    ( cowlThing(iV8472)
    & cC60(iV8472)
    & cC58(iV8472)
    & cC80(iV8471)
    & cowlThing(iV8471)
    & cC48(iV8467)
    & cowlThing(iV8467)
    & cC10(iV8467)
    & cC34(iV8467)
    & cC14(iV8467)
    & cC62(iV8467)
    & cC82(iV8467)
    & cC8(iV8467)
    & cC4(iV8467)
    & cC20(iV8467)
    & ! [X0] :
        ( xsd_string(X0)
      <=> ~ xsd_integer(X0) )
    & ! [X0] :
        ( ~ cowlNothing(X0)
        & cowlThing(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).

fof(f2418,plain,
    spl69_58,
    inference(avatar_contradiction_clause,[],[f2417]) ).

fof(f2417,plain,
    ( $false
    | spl69_58 ),
    inference(resolution,[],[f2343,f522]) ).

fof(f522,plain,
    ! [X0] : cowlThing(X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f2343,plain,
    ( ~ cowlThing(sK1)
    | spl69_58 ),
    inference(avatar_component_clause,[],[f2341]) ).

fof(f2416,plain,
    ( ~ spl69_58
    | spl69_59
    | spl69_60
    | ~ spl69_61
    | ~ spl69_62
    | ~ spl69_63
    | ~ spl69_64
    | ~ spl69_65
    | ~ spl69_66
    | ~ spl69_67
    | ~ spl69_68
    | ~ spl69_69
    | ~ spl69_70
    | ~ spl69_71
    | ~ spl69_72
    | ~ spl69_73
    | ~ spl69_74
    | ~ spl69_75
    | ~ spl69_76 ),
    inference(avatar_split_clause,[],[f486,f2413,f2409,f2405,f2401,f2397,f2393,f2389,f2385,f2381,f2377,f2373,f2369,f2365,f2361,f2357,f2353,f2349,f2345,f2341]) ).

fof(f486,plain,
    ( ~ cowlThing(iV8472)
    | ~ cC60(iV8472)
    | ~ cC58(iV8472)
    | ~ cC80(iV8471)
    | ~ cowlThing(iV8471)
    | ~ cC48(iV8467)
    | ~ cowlThing(iV8467)
    | ~ cC10(iV8467)
    | ~ cC34(iV8467)
    | ~ cC14(iV8467)
    | ~ cC62(iV8467)
    | ~ cC82(iV8467)
    | ~ cC8(iV8467)
    | ~ cC4(iV8467)
    | ~ cC20(iV8467)
    | ~ xsd_integer(sK0)
    | xsd_string(sK0)
    | cowlNothing(sK1)
    | ~ cowlThing(sK1) ),
    inference(cnf_transformation,[],[f202]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : KRS155+1 : TPTP v8.1.2. Released v3.1.0.
% 0.10/0.13  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34  % Computer : n016.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Fri May  3 19:52:38 EDT 2024
% 0.14/0.34  % CPUTime    : 
% 0.14/0.34  % (15936)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.35  % (15942)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.14/0.36  % (15939)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.36  % (15943)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.36  % (15941)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.36  % (15944)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.36  % (15945)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.36  % (15946)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.37  TRYING [1]
% 0.14/0.37  TRYING [1]
% 0.14/0.37  TRYING [2]
% 0.14/0.37  Detected minimum model sizes of [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.14/0.37  Detected maximum model sizes of [max,1,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max]
% 0.14/0.37  Detected minimum model sizes of [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.14/0.37  Detected maximum model sizes of [max,1,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max]
% 0.14/0.37  TRYING [2]
% 0.14/0.37  TRYING [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.14/0.37  TRYING [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.14/0.37  % (15942)First to succeed.
% 0.14/0.37  % (15945)Also succeeded, but the first one will report.
% 0.14/0.37  TRYING [2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.14/0.37  TRYING [2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
% 0.14/0.37  % (15942)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-15936"
% 0.14/0.38  % (15942)Refutation found. Thanks to Tanya!
% 0.14/0.38  % SZS status Theorem for theBenchmark
% 0.14/0.38  % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.38  % (15942)------------------------------
% 0.14/0.38  % (15942)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.38  % (15942)Termination reason: Refutation
% 0.14/0.38  
% 0.14/0.38  % (15942)Memory used [KB]: 1916
% 0.14/0.38  % (15942)Time elapsed: 0.020 s
% 0.14/0.38  % (15942)Instructions burned: 64 (million)
% 0.14/0.38  % (15936)Success in time 0.031 s
%------------------------------------------------------------------------------