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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : KRS157+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n018.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 11:41:47 AM UTC 2026

% Result   : Theorem 2.95s 1.31s
% Output   : Refutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   20
% Syntax   : Number of formulae    :  113 (  35 unt;  12 def)
%            Number of atoms       :  347 (   0 equ)
%            Maximal formula atoms :   14 (   3 avg)
%            Number of connectives :  391 ( 157   ~; 160   |;  52   &)
%                                         (  20 <=>;   1  =>;   0  <=;   1 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   26 (  25 usr;  13 prp; 0-1 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   36 (   0 sgn  32   !;   4   ?)

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

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

fof(f122,axiom,
    ! [X0] :
      ( cC216(X0)
    <=> ( cC64(X0)
        & cC214xcomp(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_121) ).

fof(f133,axiom,
    ! [X0] :
      ( cC30(X0)
    <=> ( cC28(X0)
        & cC14(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_132) ).

fof(f149,axiom,
    ! [X0] :
      ( cC46(X0)
    <=> ( cC30(X0)
        & cC44(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_148) ).

fof(f202,axiom,
    ! [X0] :
      ( cTEST(X0)
    <=> ( cC216(X0)
        & cC46(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_201) ).

fof(f203,axiom,
    cTEST(iV3102),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_202) ).

fof(f220,conjecture,
    ( ! [X0] :
        ( cowlThing(X0)
        & ~ cowlNothing(X0) )
    & ! [X0] :
        ( xsd_string(X0)
      <=> ~ xsd_integer(X0) )
    & cC14(iV3102)
    & cC44(iV3102)
    & cC216(iV3102)
    & cC64(iV3102)
    & cC46(iV3102)
    & cC28(iV3102)
    & cowlThing(iV3102)
    & cC30(iV3102) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).

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

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

fof(f223,plain,
    ! [X0] :
      ( cTEST(X0)
     => ( cC216(X0)
        & cC46(X0) ) ),
    inference(unused_predicate_definition_removal,[],[f202]) ).

fof(f279,plain,
    ! [X0] :
      ( ( cC216(X0)
        & cC46(X0) )
      | ~ cTEST(X0) ),
    inference(ennf_transformation,[],[f223]) ).

fof(f285,plain,
    ( ? [X0] :
        ( ~ cowlThing(X0)
        | cowlNothing(X0) )
    | ? [X1] :
        ( xsd_string(X1)
      <~> ~ xsd_integer(X1) )
    | ~ cC14(iV3102)
    | ~ cC44(iV3102)
    | ~ cC216(iV3102)
    | ~ cC64(iV3102)
    | ~ cC46(iV3102)
    | ~ cC28(iV3102)
    | ~ cowlThing(iV3102)
    | ~ cC30(iV3102) ),
    inference(ennf_transformation,[],[f222]) ).

fof(f286,plain,
    ! [X0] :
      ( ( xsd_string(X0)
        | xsd_integer(X0) )
      & ( ~ xsd_integer(X0)
        | ~ xsd_string(X0) ) ),
    inference(nnf_transformation,[],[f2]) ).

fof(f609,plain,
    ! [X0] :
      ( ( cC216(X0)
        | ~ cC64(X0)
        | ~ cC214xcomp(X0) )
      & ( ( cC64(X0)
          & cC214xcomp(X0) )
        | ~ cC216(X0) ) ),
    inference(nnf_transformation,[],[f122]) ).

fof(f610,plain,
    ! [X0] :
      ( ( cC216(X0)
        | ~ cC64(X0)
        | ~ cC214xcomp(X0) )
      & ( ( cC64(X0)
          & cC214xcomp(X0) )
        | ~ cC216(X0) ) ),
    inference(flattening,[],[f609]) ).

fof(f637,plain,
    ! [X0] :
      ( ( cC30(X0)
        | ~ cC28(X0)
        | ~ cC14(X0) )
      & ( ( cC28(X0)
          & cC14(X0) )
        | ~ cC30(X0) ) ),
    inference(nnf_transformation,[],[f133]) ).

fof(f638,plain,
    ! [X0] :
      ( ( cC30(X0)
        | ~ cC28(X0)
        | ~ cC14(X0) )
      & ( ( cC28(X0)
          & cC14(X0) )
        | ~ cC30(X0) ) ),
    inference(flattening,[],[f637]) ).

fof(f678,plain,
    ! [X0] :
      ( ( cC46(X0)
        | ~ cC30(X0)
        | ~ cC44(X0) )
      & ( ( cC30(X0)
          & cC44(X0) )
        | ~ cC46(X0) ) ),
    inference(nnf_transformation,[],[f149]) ).

fof(f679,plain,
    ! [X0] :
      ( ( cC46(X0)
        | ~ cC30(X0)
        | ~ cC44(X0) )
      & ( ( cC30(X0)
          & cC44(X0) )
        | ~ cC46(X0) ) ),
    inference(flattening,[],[f678]) ).

fof(f821,plain,
    ( ? [X0] :
        ( ~ cowlThing(X0)
        | cowlNothing(X0) )
    | ? [X1] :
        ( ( xsd_integer(X1)
          | ~ xsd_string(X1) )
        & ( ~ xsd_integer(X1)
          | xsd_string(X1) ) )
    | ~ cC14(iV3102)
    | ~ cC44(iV3102)
    | ~ cC216(iV3102)
    | ~ cC64(iV3102)
    | ~ cC46(iV3102)
    | ~ cC28(iV3102)
    | ~ cowlThing(iV3102)
    | ~ cC30(iV3102) ),
    inference(nnf_transformation,[],[f285]) ).

fof(f822,plain,
    ( ~ cowlThing(sK146)
    | cowlNothing(sK146)
    | ( ( xsd_integer(sK147)
        | ~ xsd_string(sK147) )
      & ( ~ xsd_integer(sK147)
        | xsd_string(sK147) ) )
    | ~ cC14(iV3102)
    | ~ cC44(iV3102)
    | ~ cC216(iV3102)
    | ~ cC64(iV3102)
    | ~ cC46(iV3102)
    | ~ cC28(iV3102)
    | ~ cowlThing(iV3102)
    | ~ cC30(iV3102) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK146,sK147]),skolemize(X0,sK146),skolemize(X1,sK147)],[f821]) ).

fof(f823,plain,
    ! [X0] : ~ cowlNothing(X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f824,plain,
    ! [X0] : cowlThing(X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f825,plain,
    ! [X0] :
      ( ~ xsd_integer(X0)
      | ~ xsd_string(X0) ),
    inference(cnf_transformation,[],[f286]) ).

fof(f826,plain,
    ! [X0] :
      ( xsd_integer(X0)
      | xsd_string(X0) ),
    inference(cnf_transformation,[],[f286]) ).

fof(f1127,plain,
    ! [X0] :
      ( ~ cC216(X0)
      | cC64(X0) ),
    inference(cnf_transformation,[],[f610]) ).

fof(f1152,plain,
    ! [X0] :
      ( ~ cC30(X0)
      | cC14(X0) ),
    inference(cnf_transformation,[],[f638]) ).

fof(f1153,plain,
    ! [X0] :
      ( ~ cC30(X0)
      | cC28(X0) ),
    inference(cnf_transformation,[],[f638]) ).

fof(f1191,plain,
    ! [X0] :
      ( ~ cC46(X0)
      | cC44(X0) ),
    inference(cnf_transformation,[],[f679]) ).

fof(f1192,plain,
    ! [X0] :
      ( ~ cC46(X0)
      | cC30(X0) ),
    inference(cnf_transformation,[],[f679]) ).

fof(f1325,plain,
    ! [X0] :
      ( ~ cTEST(X0)
      | cC46(X0) ),
    inference(cnf_transformation,[],[f279]) ).

fof(f1326,plain,
    ! [X0] :
      ( ~ cTEST(X0)
      | cC216(X0) ),
    inference(cnf_transformation,[],[f279]) ).

fof(f1327,plain,
    cTEST(iV3102),
    inference(cnf_transformation,[],[f203]) ).

fof(f1344,plain,
    ( ~ cowlThing(sK146)
    | cowlNothing(sK146)
    | ~ xsd_integer(sK147)
    | xsd_string(sK147)
    | ~ cC14(iV3102)
    | ~ cC44(iV3102)
    | ~ cC216(iV3102)
    | ~ cC64(iV3102)
    | ~ cC46(iV3102)
    | ~ cC28(iV3102)
    | ~ cowlThing(iV3102)
    | ~ cC30(iV3102) ),
    inference(cnf_transformation,[],[f822]) ).

fof(f1345,plain,
    ( ~ cowlThing(sK146)
    | cowlNothing(sK146)
    | xsd_integer(sK147)
    | ~ xsd_string(sK147)
    | ~ cC14(iV3102)
    | ~ cC44(iV3102)
    | ~ cC216(iV3102)
    | ~ cC64(iV3102)
    | ~ cC46(iV3102)
    | ~ cC28(iV3102)
    | ~ cowlThing(iV3102)
    | ~ cC30(iV3102) ),
    inference(cnf_transformation,[],[f822]) ).

fof(f1347,definition,
    ( spl148_1
  <=> cC30(iV3102) ),
    introduced(definition,[new_symbols(definition,[spl148_1])],[avatar_definition]) ).

fof(f1348,plain,
    ( ~ cC30(iV3102)
    | spl148_1 ),
    inference(avatar_component_clause,[],[f1347]) ).

fof(f1350,definition,
    ( spl148_2
  <=> cowlThing(iV3102) ),
    introduced(definition,[new_symbols(definition,[spl148_2])],[avatar_definition]) ).

fof(f1351,plain,
    ( ~ cowlThing(iV3102)
    | spl148_2 ),
    inference(avatar_component_clause,[],[f1350]) ).

fof(f1353,definition,
    ( spl148_3
  <=> cC28(iV3102) ),
    introduced(definition,[new_symbols(definition,[spl148_3])],[avatar_definition]) ).

fof(f1354,plain,
    ( ~ cC28(iV3102)
    | spl148_3 ),
    inference(avatar_component_clause,[],[f1353]) ).

fof(f1356,definition,
    ( spl148_4
  <=> cC46(iV3102) ),
    introduced(definition,[new_symbols(definition,[spl148_4])],[avatar_definition]) ).

fof(f1357,plain,
    ( ~ cC46(iV3102)
    | spl148_4 ),
    inference(avatar_component_clause,[],[f1356]) ).

fof(f1359,definition,
    ( spl148_5
  <=> cC64(iV3102) ),
    introduced(definition,[new_symbols(definition,[spl148_5])],[avatar_definition]) ).

fof(f1360,plain,
    ( ~ cC64(iV3102)
    | spl148_5 ),
    inference(avatar_component_clause,[],[f1359]) ).

fof(f1362,definition,
    ( spl148_6
  <=> cC216(iV3102) ),
    introduced(definition,[new_symbols(definition,[spl148_6])],[avatar_definition]) ).

fof(f1363,plain,
    ( ~ cC216(iV3102)
    | spl148_6 ),
    inference(avatar_component_clause,[],[f1362]) ).

fof(f1365,definition,
    ( spl148_7
  <=> cC44(iV3102) ),
    introduced(definition,[new_symbols(definition,[spl148_7])],[avatar_definition]) ).

fof(f1366,plain,
    ( ~ cC44(iV3102)
    | spl148_7 ),
    inference(avatar_component_clause,[],[f1365]) ).

fof(f1368,definition,
    ( spl148_8
  <=> cC14(iV3102) ),
    introduced(definition,[new_symbols(definition,[spl148_8])],[avatar_definition]) ).

fof(f1369,plain,
    ( ~ cC14(iV3102)
    | spl148_8 ),
    inference(avatar_component_clause,[],[f1368]) ).

fof(f1371,definition,
    ( spl148_9
  <=> xsd_string(sK147) ),
    introduced(definition,[new_symbols(definition,[spl148_9])],[avatar_definition]) ).

fof(f1374,definition,
    ( spl148_10
  <=> xsd_integer(sK147) ),
    introduced(definition,[new_symbols(definition,[spl148_10])],[avatar_definition]) ).

fof(f1375,plain,
    ( ~ xsd_integer(sK147)
    | spl148_10 ),
    inference(avatar_component_clause,[],[f1374]) ).

fof(f1377,definition,
    ( spl148_11
  <=> cowlNothing(sK146) ),
    introduced(definition,[new_symbols(definition,[spl148_11])],[avatar_definition]) ).

fof(f1378,plain,
    ( cowlNothing(sK146)
    | ~ spl148_11 ),
    inference(avatar_component_clause,[],[f1377]) ).

fof(f1380,definition,
    ( spl148_12
  <=> cowlThing(sK146) ),
    introduced(definition,[new_symbols(definition,[spl148_12])],[avatar_definition]) ).

fof(f1381,plain,
    ( ~ cowlThing(sK146)
    | spl148_12 ),
    inference(avatar_component_clause,[],[f1380]) ).

fof(f1382,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,[],[f1344,f1380,f1377,f1374,f1371,f1368,f1365,f1362,f1359,f1356,f1353,f1350,f1347]) ).

fof(f1384,plain,
    ( xsd_integer(sK147)
    | ~ spl148_10 ),
    inference(avatar_component_clause,[],[f1374]) ).

fof(f1385,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,[],[f1345,f1380,f1377,f1374,f1371,f1368,f1365,f1362,f1359,f1356,f1353,f1350,f1347]) ).

fof(f1387,plain,
    cC46(iV3102),
    inference(resolution,[],[f1325,f1327]) ).

fof(f1388,plain,
    cC216(iV3102),
    inference(resolution,[],[f1326,f1327]) ).

fof(f1389,plain,
    cC30(iV3102),
    inference(resolution,[],[f1387,f1192]) ).

fof(f1390,plain,
    cC44(iV3102),
    inference(resolution,[],[f1387,f1191]) ).

fof(f1391,plain,
    cC64(iV3102),
    inference(resolution,[],[f1388,f1127]) ).

fof(f1392,plain,
    ( $false
    | spl148_1 ),
    inference(resolution,[],[f1389,f1348]) ).

fof(f1393,plain,
    cC28(iV3102),
    inference(resolution,[],[f1389,f1153]) ).

fof(f1394,plain,
    cC14(iV3102),
    inference(resolution,[],[f1389,f1152]) ).

fof(f1395,plain,
    spl148_1,
    inference(avatar_contradiction_clause,[],[f1392]) ).

fof(f1396,plain,
    ( $false
    | spl148_2 ),
    inference(resolution,[],[f1351,f824]) ).

fof(f1397,plain,
    spl148_2,
    inference(avatar_contradiction_clause,[],[f1396]) ).

fof(f1399,plain,
    ( $false
    | spl148_3 ),
    inference(resolution,[],[f1393,f1354]) ).

fof(f1401,plain,
    spl148_3,
    inference(avatar_contradiction_clause,[],[f1399]) ).

fof(f1402,plain,
    ( $false
    | spl148_4 ),
    inference(resolution,[],[f1357,f1387]) ).

fof(f1403,plain,
    spl148_4,
    inference(avatar_contradiction_clause,[],[f1402]) ).

fof(f1404,plain,
    ( $false
    | spl148_5 ),
    inference(resolution,[],[f1360,f1391]) ).

fof(f1405,plain,
    spl148_5,
    inference(avatar_contradiction_clause,[],[f1404]) ).

fof(f1406,plain,
    ( $false
    | spl148_6 ),
    inference(resolution,[],[f1363,f1388]) ).

fof(f1407,plain,
    spl148_6,
    inference(avatar_contradiction_clause,[],[f1406]) ).

fof(f1408,plain,
    ( $false
    | spl148_7 ),
    inference(resolution,[],[f1366,f1390]) ).

fof(f1409,plain,
    spl148_7,
    inference(avatar_contradiction_clause,[],[f1408]) ).

fof(f1410,plain,
    ( $false
    | spl148_8 ),
    inference(resolution,[],[f1394,f1369]) ).

fof(f1412,plain,
    spl148_8,
    inference(avatar_contradiction_clause,[],[f1410]) ).

fof(f1413,plain,
    ( $false
    | spl148_12 ),
    inference(resolution,[],[f1381,f824]) ).

fof(f1414,plain,
    spl148_12,
    inference(avatar_contradiction_clause,[],[f1413]) ).

fof(f1415,plain,
    ( xsd_string(sK147)
    | spl148_10 ),
    inference(resolution,[],[f1375,f826]) ).

fof(f1416,plain,
    ( spl148_9
    | spl148_10 ),
    inference(avatar_split_clause,[],[f1415,f1374,f1371]) ).

fof(f1417,plain,
    ( $false
    | ~ spl148_11 ),
    inference(resolution,[],[f1378,f823]) ).

fof(f1418,plain,
    ~ spl148_11,
    inference(avatar_contradiction_clause,[],[f1417]) ).

fof(f1419,plain,
    ( ~ xsd_string(sK147)
    | ~ spl148_10 ),
    inference(resolution,[],[f1384,f825]) ).

fof(f1420,plain,
    ( ~ spl148_9
    | ~ spl148_10 ),
    inference(avatar_split_clause,[],[f1419,f1374,f1371]) ).

cnf(s1,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(sat_conversion,[],[f1382]) ).

cnf(s2,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(sat_conversion,[],[f1385]) ).

cnf(s3,plain,
    spl148_1,
    inference(sat_conversion,[],[f1395]) ).

cnf(s4,plain,
    spl148_2,
    inference(sat_conversion,[],[f1397]) ).

cnf(s5,plain,
    spl148_3,
    inference(sat_conversion,[],[f1401]) ).

cnf(s6,plain,
    spl148_4,
    inference(sat_conversion,[],[f1403]) ).

cnf(s7,plain,
    spl148_5,
    inference(sat_conversion,[],[f1405]) ).

cnf(s8,plain,
    spl148_6,
    inference(sat_conversion,[],[f1407]) ).

cnf(s9,plain,
    spl148_7,
    inference(sat_conversion,[],[f1409]) ).

cnf(s10,plain,
    spl148_8,
    inference(sat_conversion,[],[f1412]) ).

cnf(s11,plain,
    spl148_12,
    inference(sat_conversion,[],[f1414]) ).

cnf(s12,plain,
    ( spl148_9
    | spl148_10 ),
    inference(sat_conversion,[],[f1416]) ).

cnf(s13,plain,
    ~ spl148_11,
    inference(sat_conversion,[],[f1418]) ).

cnf(s14,plain,
    ( ~ spl148_9
    | ~ spl148_10 ),
    inference(sat_conversion,[],[f1420]) ).

cnf(s15,plain,
    ( ~ spl148_9
    | spl148_10 ),
    inference(rat,[],[s2,s11,s13,s10,s9,s8,s7,s6,s5,s4,s3]) ).

cnf(s16,plain,
    ( spl148_9
    | ~ spl148_10 ),
    inference(rat,[],[s1,s11,s13,s10,s9,s8,s7,s6,s5,s4,s3]) ).

cnf(s17,plain,
    spl148_9,
    inference(rat,[],[s16,s12]) ).

cnf(s18,plain,
    ~ spl148_10,
    inference(rat,[],[s14,s17]) ).

cnf(s19,plain,
    $false,
    inference(rat,[],[s15,s18,s17]) ).

fof(f1421,plain,
    $false,
    inference(avatar_sat_refutation,[],[s19]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : KRS157+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.38  % Computer : n018.cluster.edu
% 0.13/0.38  % Model    : x86_64 x86_64
% 0.13/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38  % Memory   : 8046.5625MB
% 0.13/0.38  % OS       : Linux 6.8.0-71-generic
% 0.13/0.39  % CPULimit : 300
% 0.13/0.39  % WCLimit  : 300
% 0.13/0.39  % DateTime : Sun Sep 27 13:34:23 UTC 2026
% 0.13/0.39  % CPUTime  : 
% 0.13/0.39  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.42  Running first-order theorem proving
% 0.13/0.42  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.95/1.31  % (2357655)Detected formulas, will run a generic FOF schedule.
% 2.95/1.31  % (2357663)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2107756565:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.95/1.31  % (2357663)Refutation not found, incomplete strategy
% 2.95/1.31  % (2357663)------------------------------
% 2.95/1.31  % (2357663)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.95/1.31  % (2357663)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.95/1.31  % (2357663)CaDiCaL version: 2.1.3
% 2.95/1.31  % (2357663)Termination reason: Refutation not found, incomplete strategy
% 2.95/1.31  % (2357663)Time elapsed: 0.001 s
% 2.95/1.31  % (2357663)Peak memory usage: 87 MB
% 2.95/1.31  % (2357663)Instructions burned: 1 (million)
% 2.95/1.31  % (2357660)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3330894648:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.95/1.31  % (2357661)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3740549987:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.95/1.31  % (2357662)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3411633533:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.95/1.31  % (2357664)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3391078923:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.95/1.31  % (2357666)dis-21_1_sil=8000:lcm=predicate:random_seed=3950561917:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.95/1.31  % (2357664)Refutation not found, incomplete strategy
% 2.95/1.31  % (2357664)------------------------------
% 2.95/1.31  % (2357664)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.95/1.31  % (2357664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.95/1.31  % (2357664)CaDiCaL version: 2.1.3
% 2.95/1.31  % (2357664)Termination reason: Refutation not found, incomplete strategy
% 2.95/1.31  % (2357664)Time elapsed: 0.001 s
% 2.95/1.31  % (2357664)Peak memory usage: 87 MB
% 2.95/1.31  % (2357664)Instructions burned: 1 (million)
% 2.95/1.31  % (2357665)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=968782195:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.95/1.31  % (2357666)First to succeed.
% 2.95/1.31  % (2357666)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2357655"
% 2.95/1.31  % (2357665)Also succeeded, but the first one will report.
% 2.95/1.31  % (2357663)------------------------------
% 2.95/1.31  % (2357663)------------------------------
% 2.95/1.31  % (2357674)lrs+10_1_sil=8000:sp=occurrence:random_seed=2851940045:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 2.95/1.31  % (2357674)Also succeeded, but the first one will report.
% 2.95/1.31  % (2357664)------------------------------
% 2.95/1.31  % (2357664)------------------------------
% 2.95/1.31  % (2357666)Refutation found. Thanks to Tanya!
% 2.95/1.31  % SZS status Theorem for theBenchmark
% 2.95/1.31  % SZS output start Proof for theBenchmark
% See solution above
% 0.17/1.50  % (2357666)------------------------------
% 0.17/1.50  % (2357666)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.50  % (2357666)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.50  % (2357666)CaDiCaL version: 2.1.3
% 0.17/1.50  % (2357666)Termination reason: Refutation
% 0.17/1.50  % (2357666)Time elapsed: 0.010 s
% 0.17/1.50  % (2357666)Peak memory usage: 90 MB
% 0.17/1.50  % (2357666)Instructions burned: 15 (million)
% 0.17/1.50  % (2357666)------------------------------
% 0.17/1.50  % (2357666)------------------------------
% 0.17/1.50  % (2357655)Success in time 0.446 s
% 0.17/1.50  % Vampire exiting
%------------------------------------------------------------------------------