TSTP Solution File: KRS154+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : KRS154+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 : n009.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 0.14s 0.48s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   34
% Syntax   : Number of formulae    :  131 (  34 unt;   0 def)
%            Number of atoms       :  517 (   0 equ)
%            Maximal formula atoms :   15 (   3 avg)
%            Number of connectives :  670 ( 284   ~; 284   |;  79   &)
%                                         (  20 <=>;   2  =>;   0  <=;   1 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   33 (  32 usr;   9 prp; 0-1 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   52 (  46   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1170,plain,
    $false,
    inference(avatar_sat_refutation,[],[f1047,f1054,f1068,f1078,f1092,f1113,f1127,f1149,f1169]) ).

fof(f1169,plain,
    spl82_4,
    inference(avatar_contradiction_clause,[],[f1168]) ).

fof(f1168,plain,
    ( $false
    | spl82_4 ),
    inference(subsumption_resolution,[],[f1167,f870]) ).

fof(f870,plain,
    cC4(iV822576),
    inference(cnf_transformation,[],[f150]) ).

fof(f150,axiom,
    cC4(iV822576),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_149) ).

fof(f1167,plain,
    ( ~ cC4(iV822576)
    | spl82_4 ),
    inference(subsumption_resolution,[],[f1160,f964]) ).

fof(f964,plain,
    cC10xcomp(iV822576),
    inference(cnf_transformation,[],[f168]) ).

fof(f168,axiom,
    cC10xcomp(iV822576),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_167) ).

fof(f1160,plain,
    ( ~ cC10xcomp(iV822576)
    | ~ cC4(iV822576)
    | spl82_4 ),
    inference(resolution,[],[f1136,f708]) ).

fof(f708,plain,
    ! [X0] :
      ( ~ cC4(X0)
      | ~ cC10xcomp(X0)
      | cC56(X0) ),
    inference(cnf_transformation,[],[f311]) ).

fof(f311,plain,
    ! [X0] :
      ( ( ( cC4(X0)
          & cC10xcomp(X0) )
        | ~ cC56(X0) )
      & ( cC56(X0)
        | ~ cC4(X0)
        | ~ cC10xcomp(X0) ) ),
    inference(flattening,[],[f310]) ).

fof(f310,plain,
    ! [X0] :
      ( ( ( cC4(X0)
          & cC10xcomp(X0) )
        | ~ cC56(X0) )
      & ( cC56(X0)
        | ~ cC4(X0)
        | ~ cC10xcomp(X0) ) ),
    inference(nnf_transformation,[],[f94]) ).

fof(f94,axiom,
    ! [X0] :
      ( ( cC4(X0)
        & cC10xcomp(X0) )
    <=> cC56(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_93) ).

fof(f1136,plain,
    ( ~ cC56(iV822576)
    | spl82_4 ),
    inference(subsumption_resolution,[],[f1135,f673]) ).

fof(f673,plain,
    cC34(iV822576),
    inference(cnf_transformation,[],[f163]) ).

fof(f163,axiom,
    cC34(iV822576),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_162) ).

fof(f1135,plain,
    ( ~ cC56(iV822576)
    | ~ cC34(iV822576)
    | spl82_4 ),
    inference(resolution,[],[f1034,f916]) ).

fof(f916,plain,
    ! [X0] :
      ( ~ cC56(X0)
      | ~ cC34(X0)
      | cC58(X0) ),
    inference(cnf_transformation,[],[f553]) ).

fof(f553,plain,
    ! [X0] :
      ( ( cC58(X0)
        | ~ cC56(X0)
        | ~ cC34(X0) )
      & ( ( cC56(X0)
          & cC34(X0) )
        | ~ cC58(X0) ) ),
    inference(flattening,[],[f552]) ).

fof(f552,plain,
    ! [X0] :
      ( ( cC58(X0)
        | ~ cC56(X0)
        | ~ cC34(X0) )
      & ( ( cC56(X0)
          & cC34(X0) )
        | ~ cC58(X0) ) ),
    inference(nnf_transformation,[],[f95]) ).

fof(f95,axiom,
    ! [X0] :
      ( cC58(X0)
    <=> ( cC56(X0)
        & cC34(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_94) ).

fof(f1034,plain,
    ( ~ cC58(iV822576)
    | spl82_4 ),
    inference(avatar_component_clause,[],[f1032]) ).

fof(f1032,plain,
    ( spl82_4
  <=> cC58(iV822576) ),
    introduced(avatar_definition,[new_symbols(naming,[spl82_4])]) ).

fof(f1149,plain,
    ( spl82_5
    | ~ spl82_8 ),
    inference(avatar_split_clause,[],[f1143,f1075,f1036]) ).

fof(f1036,plain,
    ( spl82_5
  <=> cC136(iV822576) ),
    introduced(avatar_definition,[new_symbols(naming,[spl82_5])]) ).

fof(f1075,plain,
    ( spl82_8
  <=> cC116(iV822576) ),
    introduced(avatar_definition,[new_symbols(naming,[spl82_8])]) ).

fof(f1143,plain,
    ( cC136(iV822576)
    | ~ spl82_8 ),
    inference(unit_resulting_resolution,[],[f925,f1077,f737]) ).

fof(f737,plain,
    ! [X0] :
      ( ~ cC134xcomp(X0)
      | ~ cC116(X0)
      | cC136(X0) ),
    inference(cnf_transformation,[],[f343]) ).

fof(f343,plain,
    ! [X0] :
      ( ( cC136(X0)
        | ~ cC116(X0)
        | ~ cC134xcomp(X0) )
      & ( ( cC116(X0)
          & cC134xcomp(X0) )
        | ~ cC136(X0) ) ),
    inference(flattening,[],[f342]) ).

fof(f342,plain,
    ! [X0] :
      ( ( cC136(X0)
        | ~ cC116(X0)
        | ~ cC134xcomp(X0) )
      & ( ( cC116(X0)
          & cC134xcomp(X0) )
        | ~ cC136(X0) ) ),
    inference(nnf_transformation,[],[f43]) ).

fof(f43,axiom,
    ! [X0] :
      ( cC136(X0)
    <=> ( cC116(X0)
        & cC134xcomp(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_42) ).

fof(f1077,plain,
    ( cC116(iV822576)
    | ~ spl82_8 ),
    inference(avatar_component_clause,[],[f1075]) ).

fof(f925,plain,
    cC134xcomp(iV822576),
    inference(cnf_transformation,[],[f161]) ).

fof(f161,axiom,
    cC134xcomp(iV822576),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_160) ).

fof(f1127,plain,
    spl82_3,
    inference(avatar_contradiction_clause,[],[f1126]) ).

fof(f1126,plain,
    ( $false
    | spl82_3 ),
    inference(subsumption_resolution,[],[f1125,f694]) ).

fof(f694,plain,
    cC108xcomp(iV822576),
    inference(cnf_transformation,[],[f149]) ).

fof(f149,axiom,
    cC108xcomp(iV822576),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_148) ).

fof(f1125,plain,
    ( ~ cC108xcomp(iV822576)
    | spl82_3 ),
    inference(subsumption_resolution,[],[f1118,f753]) ).

fof(f753,plain,
    cC102xcomp(iV822576),
    inference(cnf_transformation,[],[f148]) ).

fof(f148,axiom,
    cC102xcomp(iV822576),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_147) ).

fof(f1118,plain,
    ( ~ cC102xcomp(iV822576)
    | ~ cC108xcomp(iV822576)
    | spl82_3 ),
    inference(resolution,[],[f1030,f887]) ).

fof(f887,plain,
    ! [X0] :
      ( cC110(X0)
      | ~ cC102xcomp(X0)
      | ~ cC108xcomp(X0) ),
    inference(cnf_transformation,[],[f525]) ).

fof(f525,plain,
    ! [X0] :
      ( ( ( cC108xcomp(X0)
          & cC102xcomp(X0) )
        | ~ cC110(X0) )
      & ( cC110(X0)
        | ~ cC108xcomp(X0)
        | ~ cC102xcomp(X0) ) ),
    inference(flattening,[],[f524]) ).

fof(f524,plain,
    ! [X0] :
      ( ( ( cC108xcomp(X0)
          & cC102xcomp(X0) )
        | ~ cC110(X0) )
      & ( cC110(X0)
        | ~ cC108xcomp(X0)
        | ~ cC102xcomp(X0) ) ),
    inference(nnf_transformation,[],[f16]) ).

fof(f16,axiom,
    ! [X0] :
      ( ( cC108xcomp(X0)
        & cC102xcomp(X0) )
    <=> cC110(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_15) ).

fof(f1030,plain,
    ( ~ cC110(iV822576)
    | spl82_3 ),
    inference(avatar_component_clause,[],[f1028]) ).

fof(f1028,plain,
    ( spl82_3
  <=> cC110(iV822576) ),
    introduced(avatar_definition,[new_symbols(naming,[spl82_3])]) ).

fof(f1113,plain,
    spl82_6,
    inference(avatar_contradiction_clause,[],[f1112]) ).

fof(f1112,plain,
    ( $false
    | spl82_6 ),
    inference(subsumption_resolution,[],[f1111,f784]) ).

fof(f784,plain,
    cC96xcomp(iV822576),
    inference(cnf_transformation,[],[f154]) ).

fof(f154,axiom,
    cC96xcomp(iV822576),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_153) ).

fof(f1111,plain,
    ( ~ cC96xcomp(iV822576)
    | spl82_6 ),
    inference(subsumption_resolution,[],[f1103,f883]) ).

fof(f883,plain,
    cC112xcomp(iV822576),
    inference(cnf_transformation,[],[f152]) ).

fof(f152,axiom,
    cC112xcomp(iV822576),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_151) ).

fof(f1103,plain,
    ( ~ cC112xcomp(iV822576)
    | ~ cC96xcomp(iV822576)
    | spl82_6 ),
    inference(resolution,[],[f1042,f892]) ).

fof(f892,plain,
    ! [X0] :
      ( ~ cC96xcomp(X0)
      | cC114(X0)
      | ~ cC112xcomp(X0) ),
    inference(cnf_transformation,[],[f527]) ).

fof(f527,plain,
    ! [X0] :
      ( ( cC114(X0)
        | ~ cC112xcomp(X0)
        | ~ cC96xcomp(X0) )
      & ( ( cC112xcomp(X0)
          & cC96xcomp(X0) )
        | ~ cC114(X0) ) ),
    inference(flattening,[],[f526]) ).

fof(f526,plain,
    ! [X0] :
      ( ( cC114(X0)
        | ~ cC112xcomp(X0)
        | ~ cC96xcomp(X0) )
      & ( ( cC112xcomp(X0)
          & cC96xcomp(X0) )
        | ~ cC114(X0) ) ),
    inference(nnf_transformation,[],[f22]) ).

fof(f22,axiom,
    ! [X0] :
      ( cC114(X0)
    <=> ( cC112xcomp(X0)
        & cC96xcomp(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_21) ).

fof(f1042,plain,
    ( ~ cC114(iV822576)
    | spl82_6 ),
    inference(avatar_component_clause,[],[f1040]) ).

fof(f1040,plain,
    ( spl82_6
  <=> cC114(iV822576) ),
    introduced(avatar_definition,[new_symbols(naming,[spl82_6])]) ).

fof(f1092,plain,
    spl82_2,
    inference(avatar_contradiction_clause,[],[f1091]) ).

fof(f1091,plain,
    ( $false
    | spl82_2 ),
    inference(subsumption_resolution,[],[f1090,f866]) ).

fof(f866,plain,
    cC92xcomp(iV822576),
    inference(cnf_transformation,[],[f169]) ).

fof(f169,axiom,
    cC92xcomp(iV822576),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_168) ).

fof(f1090,plain,
    ( ~ cC92xcomp(iV822576)
    | spl82_2 ),
    inference(subsumption_resolution,[],[f1084,f943]) ).

fof(f943,plain,
    cC86xcomp(iV822576),
    inference(cnf_transformation,[],[f162]) ).

fof(f162,axiom,
    cC86xcomp(iV822576),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_161) ).

fof(f1084,plain,
    ( ~ cC86xcomp(iV822576)
    | ~ cC92xcomp(iV822576)
    | spl82_2 ),
    inference(resolution,[],[f1026,f869]) ).

fof(f869,plain,
    ! [X0] :
      ( cC94(X0)
      | ~ cC86xcomp(X0)
      | ~ cC92xcomp(X0) ),
    inference(cnf_transformation,[],[f501]) ).

fof(f501,plain,
    ! [X0] :
      ( ( cC94(X0)
        | ~ cC86xcomp(X0)
        | ~ cC92xcomp(X0) )
      & ( ( cC86xcomp(X0)
          & cC92xcomp(X0) )
        | ~ cC94(X0) ) ),
    inference(flattening,[],[f500]) ).

fof(f500,plain,
    ! [X0] :
      ( ( cC94(X0)
        | ~ cC86xcomp(X0)
        | ~ cC92xcomp(X0) )
      & ( ( cC86xcomp(X0)
          & cC92xcomp(X0) )
        | ~ cC94(X0) ) ),
    inference(nnf_transformation,[],[f137]) ).

fof(f137,axiom,
    ! [X0] :
      ( cC94(X0)
    <=> ( cC86xcomp(X0)
        & cC92xcomp(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_136) ).

fof(f1026,plain,
    ( ~ cC94(iV822576)
    | spl82_2 ),
    inference(avatar_component_clause,[],[f1024]) ).

fof(f1024,plain,
    ( spl82_2
  <=> cC94(iV822576) ),
    introduced(avatar_definition,[new_symbols(naming,[spl82_2])]) ).

fof(f1078,plain,
    ( spl82_8
    | ~ spl82_6
    | ~ spl82_1 ),
    inference(avatar_split_clause,[],[f1072,f1020,f1040,f1075]) ).

fof(f1020,plain,
    ( spl82_1
  <=> cC80(iV822576) ),
    introduced(avatar_definition,[new_symbols(naming,[spl82_1])]) ).

fof(f1072,plain,
    ( ~ cC114(iV822576)
    | cC116(iV822576)
    | ~ spl82_1 ),
    inference(resolution,[],[f1021,f811]) ).

fof(f811,plain,
    ! [X0] :
      ( ~ cC114(X0)
      | ~ cC80(X0)
      | cC116(X0) ),
    inference(cnf_transformation,[],[f441]) ).

fof(f441,plain,
    ! [X0] :
      ( ( ( cC114(X0)
          & cC80(X0) )
        | ~ cC116(X0) )
      & ( cC116(X0)
        | ~ cC114(X0)
        | ~ cC80(X0) ) ),
    inference(flattening,[],[f440]) ).

fof(f440,plain,
    ! [X0] :
      ( ( ( cC114(X0)
          & cC80(X0) )
        | ~ cC116(X0) )
      & ( cC116(X0)
        | ~ cC114(X0)
        | ~ cC80(X0) ) ),
    inference(nnf_transformation,[],[f23]) ).

fof(f23,axiom,
    ! [X0] :
      ( ( cC114(X0)
        & cC80(X0) )
    <=> cC116(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_22) ).

fof(f1021,plain,
    ( cC80(iV822576)
    | ~ spl82_1 ),
    inference(avatar_component_clause,[],[f1020]) ).

fof(f1068,plain,
    spl82_1,
    inference(avatar_contradiction_clause,[],[f1067]) ).

fof(f1067,plain,
    ( $false
    | spl82_1 ),
    inference(subsumption_resolution,[],[f1055,f957]) ).

fof(f957,plain,
    cC76xcomp(iV822576),
    inference(cnf_transformation,[],[f153]) ).

fof(f153,axiom,
    cC76xcomp(iV822576),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_152) ).

fof(f1055,plain,
    ( ~ cC76xcomp(iV822576)
    | spl82_1 ),
    inference(unit_resulting_resolution,[],[f930,f1022,f911]) ).

fof(f911,plain,
    ! [X0] :
      ( ~ cC76xcomp(X0)
      | cC80(X0)
      | ~ cC78xcomp(X0) ),
    inference(cnf_transformation,[],[f547]) ).

fof(f547,plain,
    ! [X0] :
      ( ( cC80(X0)
        | ~ cC78xcomp(X0)
        | ~ cC76xcomp(X0) )
      & ( ( cC78xcomp(X0)
          & cC76xcomp(X0) )
        | ~ cC80(X0) ) ),
    inference(flattening,[],[f546]) ).

fof(f546,plain,
    ! [X0] :
      ( ( cC80(X0)
        | ~ cC78xcomp(X0)
        | ~ cC76xcomp(X0) )
      & ( ( cC78xcomp(X0)
          & cC76xcomp(X0) )
        | ~ cC80(X0) ) ),
    inference(nnf_transformation,[],[f118]) ).

fof(f118,axiom,
    ! [X0] :
      ( cC80(X0)
    <=> ( cC78xcomp(X0)
        & cC76xcomp(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_117) ).

fof(f1022,plain,
    ( ~ cC80(iV822576)
    | spl82_1 ),
    inference(avatar_component_clause,[],[f1020]) ).

fof(f930,plain,
    cC78xcomp(iV822576),
    inference(cnf_transformation,[],[f159]) ).

fof(f159,axiom,
    cC78xcomp(iV822576),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_158) ).

fof(f1054,plain,
    ( ~ spl82_3
    | ~ spl82_1
    | spl82_7
    | ~ spl82_2
    | ~ spl82_5
    | ~ spl82_4
    | ~ spl82_6 ),
    inference(avatar_split_clause,[],[f1053,f1040,f1032,f1036,f1024,f1044,f1020,f1028]) ).

fof(f1044,plain,
    ( spl82_7
  <=> xsd_integer(sK66) ),
    introduced(avatar_definition,[new_symbols(naming,[spl82_7])]) ).

fof(f1053,plain,
    ( ~ cC114(iV822576)
    | ~ cC58(iV822576)
    | ~ cC136(iV822576)
    | ~ cC94(iV822576)
    | xsd_integer(sK66)
    | ~ cC80(iV822576)
    | ~ cC110(iV822576) ),
    inference(subsumption_resolution,[],[f1052,f915]) ).

fof(f915,plain,
    ! [X0] :
      ( cC56(X0)
      | ~ cC58(X0) ),
    inference(cnf_transformation,[],[f553]) ).

fof(f1052,plain,
    ( ~ cC80(iV822576)
    | ~ cC136(iV822576)
    | ~ cC110(iV822576)
    | xsd_integer(sK66)
    | ~ cC114(iV822576)
    | ~ cC94(iV822576)
    | ~ cC56(iV822576)
    | ~ cC58(iV822576) ),
    inference(subsumption_resolution,[],[f1051,f990]) ).

fof(f990,plain,
    ! [X0] :
      ( xsd_integer(X0)
      | xsd_string(X0) ),
    inference(cnf_transformation,[],[f640]) ).

fof(f640,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/sandbox/benchmark/theBenchmark.p',axiom_1) ).

fof(f1051,plain,
    ( ~ cC56(iV822576)
    | ~ cC58(iV822576)
    | ~ cC136(iV822576)
    | ~ xsd_string(sK66)
    | ~ cC114(iV822576)
    | ~ cC80(iV822576)
    | ~ cC110(iV822576)
    | ~ cC94(iV822576)
    | xsd_integer(sK66) ),
    inference(subsumption_resolution,[],[f1050,f811]) ).

fof(f1050,plain,
    ( ~ cC80(iV822576)
    | ~ cC136(iV822576)
    | ~ cC116(iV822576)
    | xsd_integer(sK66)
    | ~ xsd_string(sK66)
    | ~ cC110(iV822576)
    | ~ cC58(iV822576)
    | ~ cC56(iV822576)
    | ~ cC94(iV822576)
    | ~ cC114(iV822576) ),
    inference(subsumption_resolution,[],[f1049,f671]) ).

fof(f671,plain,
    ! [X0] : ~ cowlNothing(X0),
    inference(cnf_transformation,[],[f1]) ).

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

fof(f1049,plain,
    ( ~ cC116(iV822576)
    | ~ cC56(iV822576)
    | ~ cC110(iV822576)
    | ~ cC58(iV822576)
    | ~ cC114(iV822576)
    | ~ cC136(iV822576)
    | ~ xsd_string(sK66)
    | xsd_integer(sK66)
    | ~ cC80(iV822576)
    | ~ cC94(iV822576)
    | cowlNothing(sK65) ),
    inference(subsumption_resolution,[],[f1048,f672]) ).

fof(f672,plain,
    ! [X0] : cowlThing(X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f1048,plain,
    ( ~ cowlThing(sK65)
    | ~ cC114(iV822576)
    | ~ xsd_string(sK66)
    | ~ cC136(iV822576)
    | xsd_integer(sK66)
    | cowlNothing(sK65)
    | ~ cC80(iV822576)
    | ~ cC94(iV822576)
    | ~ cC58(iV822576)
    | ~ cC56(iV822576)
    | ~ cC110(iV822576)
    | ~ cC116(iV822576) ),
    inference(subsumption_resolution,[],[f959,f1006]) ).

fof(f1006,plain,
    cowlThing(iV822576),
    inference(cnf_transformation,[],[f167]) ).

fof(f167,axiom,
    cowlThing(iV822576),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_166) ).

fof(f959,plain,
    ( ~ cC114(iV822576)
    | ~ cC110(iV822576)
    | ~ cC136(iV822576)
    | ~ cowlThing(iV822576)
    | ~ cC56(iV822576)
    | ~ cowlThing(sK65)
    | ~ cC80(iV822576)
    | ~ cC116(iV822576)
    | ~ cC94(iV822576)
    | ~ xsd_string(sK66)
    | cowlNothing(sK65)
    | xsd_integer(sK66)
    | ~ cC58(iV822576) ),
    inference(cnf_transformation,[],[f603]) ).

fof(f603,plain,
    ( ~ cowlThing(sK65)
    | cowlNothing(sK65)
    | ~ cC110(iV822576)
    | ( ( ~ xsd_string(sK66)
        | xsd_integer(sK66) )
      & ( xsd_string(sK66)
        | ~ xsd_integer(sK66) ) )
    | ~ cC80(iV822576)
    | ~ cC56(iV822576)
    | ~ cC114(iV822576)
    | ~ cC116(iV822576)
    | ~ cC58(iV822576)
    | ~ cC136(iV822576)
    | ~ cC94(iV822576)
    | ~ cowlThing(iV822576) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK65,sK66])],[f600,f602,f601]) ).

fof(f601,plain,
    ( ? [X0] :
        ( ~ cowlThing(X0)
        | cowlNothing(X0) )
   => ( ~ cowlThing(sK65)
      | cowlNothing(sK65) ) ),
    introduced(choice_axiom,[]) ).

fof(f602,plain,
    ( ? [X1] :
        ( ( ~ xsd_string(X1)
          | xsd_integer(X1) )
        & ( xsd_string(X1)
          | ~ xsd_integer(X1) ) )
   => ( ( ~ xsd_string(sK66)
        | xsd_integer(sK66) )
      & ( xsd_string(sK66)
        | ~ xsd_integer(sK66) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f600,plain,
    ( ? [X0] :
        ( ~ cowlThing(X0)
        | cowlNothing(X0) )
    | ~ cC110(iV822576)
    | ? [X1] :
        ( ( ~ xsd_string(X1)
          | xsd_integer(X1) )
        & ( xsd_string(X1)
          | ~ xsd_integer(X1) ) )
    | ~ cC80(iV822576)
    | ~ cC56(iV822576)
    | ~ cC114(iV822576)
    | ~ cC116(iV822576)
    | ~ cC58(iV822576)
    | ~ cC136(iV822576)
    | ~ cC94(iV822576)
    | ~ cowlThing(iV822576) ),
    inference(nnf_transformation,[],[f237]) ).

fof(f237,plain,
    ( ? [X0] :
        ( ~ cowlThing(X0)
        | cowlNothing(X0) )
    | ~ cC110(iV822576)
    | ? [X1] :
        ( ~ xsd_integer(X1)
      <~> xsd_string(X1) )
    | ~ cC80(iV822576)
    | ~ cC56(iV822576)
    | ~ cC114(iV822576)
    | ~ cC116(iV822576)
    | ~ cC58(iV822576)
    | ~ cC136(iV822576)
    | ~ cC94(iV822576)
    | ~ cowlThing(iV822576) ),
    inference(ennf_transformation,[],[f185]) ).

fof(f185,plain,
    ~ ( cC56(iV822576)
      & ! [X1] :
          ( xsd_string(X1)
        <=> ~ xsd_integer(X1) )
      & cC116(iV822576)
      & cC80(iV822576)
      & cC136(iV822576)
      & cC110(iV822576)
      & cC58(iV822576)
      & cC114(iV822576)
      & ! [X0] :
          ( cowlThing(X0)
          & ~ cowlNothing(X0) )
      & cowlThing(iV822576)
      & cC94(iV822576) ),
    inference(rectify,[],[f171]) ).

fof(f171,negated_conjecture,
    ~ ( ! [X0] :
          ( cowlThing(X0)
          & ~ cowlNothing(X0) )
      & cC110(iV822576)
      & cC116(iV822576)
      & cC136(iV822576)
      & cC94(iV822576)
      & ! [X0] :
          ( ~ xsd_integer(X0)
        <=> xsd_string(X0) )
      & cC56(iV822576)
      & cowlThing(iV822576)
      & cC80(iV822576)
      & cC58(iV822576)
      & cC114(iV822576) ),
    inference(negated_conjecture,[],[f170]) ).

fof(f170,conjecture,
    ( ! [X0] :
        ( cowlThing(X0)
        & ~ cowlNothing(X0) )
    & cC110(iV822576)
    & cC116(iV822576)
    & cC136(iV822576)
    & cC94(iV822576)
    & ! [X0] :
        ( ~ xsd_integer(X0)
      <=> xsd_string(X0) )
    & cC56(iV822576)
    & cowlThing(iV822576)
    & cC80(iV822576)
    & cC58(iV822576)
    & cC114(iV822576) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).

fof(f1047,plain,
    ( ~ spl82_1
    | ~ spl82_2
    | ~ spl82_3
    | ~ spl82_4
    | ~ spl82_5
    | ~ spl82_6
    | ~ spl82_7 ),
    inference(avatar_split_clause,[],[f1018,f1044,f1040,f1036,f1032,f1028,f1024,f1020]) ).

fof(f1018,plain,
    ( ~ xsd_integer(sK66)
    | ~ cC114(iV822576)
    | ~ cC136(iV822576)
    | ~ cC58(iV822576)
    | ~ cC110(iV822576)
    | ~ cC94(iV822576)
    | ~ cC80(iV822576) ),
    inference(subsumption_resolution,[],[f1017,f989]) ).

fof(f989,plain,
    ! [X0] :
      ( ~ xsd_string(X0)
      | ~ xsd_integer(X0) ),
    inference(cnf_transformation,[],[f640]) ).

fof(f1017,plain,
    ( ~ cC94(iV822576)
    | xsd_string(sK66)
    | ~ cC58(iV822576)
    | ~ cC114(iV822576)
    | ~ cC80(iV822576)
    | ~ cC110(iV822576)
    | ~ cC136(iV822576)
    | ~ xsd_integer(sK66) ),
    inference(subsumption_resolution,[],[f1016,f915]) ).

fof(f1016,plain,
    ( ~ cC56(iV822576)
    | ~ cC110(iV822576)
    | ~ cC136(iV822576)
    | ~ xsd_integer(sK66)
    | ~ cC80(iV822576)
    | xsd_string(sK66)
    | ~ cC58(iV822576)
    | ~ cC94(iV822576)
    | ~ cC114(iV822576) ),
    inference(subsumption_resolution,[],[f1015,f811]) ).

fof(f1015,plain,
    ( ~ cC56(iV822576)
    | ~ cC116(iV822576)
    | ~ cC110(iV822576)
    | xsd_string(sK66)
    | ~ cC80(iV822576)
    | ~ cC58(iV822576)
    | ~ cC136(iV822576)
    | ~ xsd_integer(sK66)
    | ~ cC94(iV822576)
    | ~ cC114(iV822576) ),
    inference(subsumption_resolution,[],[f1014,f671]) ).

fof(f1014,plain,
    ( ~ cC110(iV822576)
    | ~ cC80(iV822576)
    | ~ xsd_integer(sK66)
    | cowlNothing(sK65)
    | ~ cC94(iV822576)
    | ~ cC116(iV822576)
    | ~ cC136(iV822576)
    | ~ cC58(iV822576)
    | ~ cC114(iV822576)
    | xsd_string(sK66)
    | ~ cC56(iV822576) ),
    inference(subsumption_resolution,[],[f1013,f672]) ).

fof(f1013,plain,
    ( ~ cC94(iV822576)
    | ~ cC58(iV822576)
    | ~ xsd_integer(sK66)
    | xsd_string(sK66)
    | ~ cC56(iV822576)
    | ~ cC110(iV822576)
    | ~ cC116(iV822576)
    | ~ cC80(iV822576)
    | ~ cC114(iV822576)
    | ~ cowlThing(sK65)
    | ~ cC136(iV822576)
    | cowlNothing(sK65) ),
    inference(subsumption_resolution,[],[f958,f1006]) ).

fof(f958,plain,
    ( ~ cC116(iV822576)
    | ~ cowlThing(iV822576)
    | ~ cC114(iV822576)
    | ~ cC136(iV822576)
    | cowlNothing(sK65)
    | ~ cC56(iV822576)
    | ~ cC58(iV822576)
    | ~ cowlThing(sK65)
    | ~ cC110(iV822576)
    | ~ xsd_integer(sK66)
    | ~ cC94(iV822576)
    | ~ cC80(iV822576)
    | xsd_string(sK66) ),
    inference(cnf_transformation,[],[f603]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.09  % Problem    : KRS154+1 : TPTP v8.1.0. Released v3.1.0.
% 0.04/0.10  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.08/0.30  % Computer : n009.cluster.edu
% 0.08/0.30  % Model    : x86_64 x86_64
% 0.08/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.30  % Memory   : 8042.1875MB
% 0.08/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.30  % CPULimit   : 300
% 0.08/0.30  % WCLimit    : 300
% 0.08/0.30  % DateTime   : Tue Aug 30 00:33:05 EDT 2022
% 0.08/0.30  % CPUTime    : 
% 0.14/0.46  % (27411)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.14/0.46  % (27415)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.14/0.46  % (27415)Instruction limit reached!
% 0.14/0.46  % (27415)------------------------------
% 0.14/0.46  % (27415)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.46  % (27420)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.14/0.47  % (27423)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.14/0.47  % (27415)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.47  % (27415)Termination reason: Unknown
% 0.14/0.47  % (27415)Termination phase: Clausification
% 0.14/0.47  
% 0.14/0.47  % (27415)Memory used [KB]: 1918
% 0.14/0.47  % (27415)Time elapsed: 0.008 s
% 0.14/0.47  % (27415)Instructions burned: 7 (million)
% 0.14/0.47  % (27415)------------------------------
% 0.14/0.47  % (27415)------------------------------
% 0.14/0.47  % (27411)First to succeed.
% 0.14/0.47  % (27431)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.14/0.47  % (27423)Also succeeded, but the first one will report.
% 0.14/0.47  % (27428)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.14/0.48  % (27411)Refutation found. Thanks to Tanya!
% 0.14/0.48  % SZS status Theorem for theBenchmark
% 0.14/0.48  % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.48  % (27411)------------------------------
% 0.14/0.48  % (27411)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.48  % (27411)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.48  % (27411)Termination reason: Refutation
% 0.14/0.48  
% 0.14/0.48  % (27411)Memory used [KB]: 6780
% 0.14/0.48  % (27411)Time elapsed: 0.113 s
% 0.14/0.48  % (27411)Instructions burned: 12 (million)
% 0.14/0.48  % (27411)------------------------------
% 0.14/0.48  % (27411)------------------------------
% 0.14/0.48  % (27402)Success in time 0.168 s
%------------------------------------------------------------------------------