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Vampire---5.0.1.CAX-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : CSR089+4 : TPTP v9.3.1. Bugfixed v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n006.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 09:42:51 AM UTC 2026

% Result   : ContradictoryAxioms 13.72s 2.84s
% Output   : Refutation 14.80s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   61 (   7 unt;   3 def)
%            Number of atoms       :  229 (  36 equ)
%            Maximal formula atoms :   22 (   3 avg)
%            Number of connectives :  265 (  97   ~; 114   |;  43   &)
%                                         (   7 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   3 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-3 aty)
%            Number of variables   :  159 (   0 sgn 152   !;   7   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f501,axiom,
    ! [X0] : s__instance(X0,s__Entity),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb_SUMO_502) ).

fof(f3484,axiom,
    ! [X0,X1,X2] :
      ( X1 = s__UnionFn(X2,X0)
    <=> ! [X3,X4,X5] :
          ( ( s__instance(X2,s__SetOrClass)
            & s__instance(X1,s__SetOrClass)
            & s__instance(X0,s__SetOrClass) )
         => ( ( s__instance(X3,X2)
              & s__instance(X4,X0)
              & s__instance(X5,X1) )
           => ( s__instance(X3,X1)
              & s__instance(X4,X1)
              & ( s__instance(X5,X2)
                | s__instance(X5,X0) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb_SUMO_3496) ).

fof(f3520,axiom,
    ! [X0] :
      ( s__instance(X0,s__SetOrClass)
     => ( s__instance(X0,s__NullSet)
       => ~ ? [X1] : s__instance(X1,X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb_SUMO_3533) ).

fof(f11181,plain,
    ! [X0,X1,X2] :
      ( X1 = s__UnionFn(X2,X0)
    <=> ! [X3,X4,X5] :
          ( ( s__instance(X3,X1)
            & s__instance(X4,X1)
            & ( s__instance(X5,X2)
              | s__instance(X5,X0) ) )
          | ~ s__instance(X3,X2)
          | ~ s__instance(X4,X0)
          | ~ s__instance(X5,X1)
          | ~ s__instance(X2,s__SetOrClass)
          | ~ s__instance(X1,s__SetOrClass)
          | ~ s__instance(X0,s__SetOrClass) ) ),
    inference(ennf_transformation,[],[f3484]) ).

fof(f11182,plain,
    ! [X0,X1,X2] :
      ( X1 = s__UnionFn(X2,X0)
    <=> ! [X3,X4,X5] :
          ( ( s__instance(X3,X1)
            & s__instance(X4,X1)
            & ( s__instance(X5,X2)
              | s__instance(X5,X0) ) )
          | ~ s__instance(X3,X2)
          | ~ s__instance(X4,X0)
          | ~ s__instance(X5,X1)
          | ~ s__instance(X2,s__SetOrClass)
          | ~ s__instance(X1,s__SetOrClass)
          | ~ s__instance(X0,s__SetOrClass) ) ),
    inference(flattening,[],[f11181]) ).

fof(f11183,plain,
    ! [X0] :
      ( ! [X1] : ~ s__instance(X1,X0)
      | ~ s__instance(X0,s__NullSet)
      | ~ s__instance(X0,s__SetOrClass) ),
    inference(ennf_transformation,[],[f3520]) ).

fof(f11184,plain,
    ! [X0] :
      ( ! [X1] : ~ s__instance(X1,X0)
      | ~ s__instance(X0,s__NullSet)
      | ~ s__instance(X0,s__SetOrClass) ),
    inference(flattening,[],[f11183]) ).

fof(f12433,definition,
    ! [X1,X2,X0] :
      ( sP10(X1,X2,X0)
    <=> ! [X3,X4,X5] :
          ( ( s__instance(X3,X1)
            & s__instance(X4,X1)
            & ( s__instance(X5,X2)
              | s__instance(X5,X0) ) )
          | ~ s__instance(X3,X2)
          | ~ s__instance(X4,X0)
          | ~ s__instance(X5,X1)
          | ~ s__instance(X2,s__SetOrClass)
          | ~ s__instance(X1,s__SetOrClass)
          | ~ s__instance(X0,s__SetOrClass) ) ),
    introduced(definition,[new_symbols(definition,[sP10])],[predicate_definition_introduction]) ).

fof(f12434,plain,
    ! [X0,X1,X2] :
      ( X1 = s__UnionFn(X2,X0)
    <=> sP10(X1,X2,X0) ),
    inference(definition_folding,[],[f11182,f12433]) ).

fof(f12654,plain,
    ! [X1,X2,X0] :
      ( ( sP10(X1,X2,X0)
        | ? [X3,X4,X5] :
            ( ( ~ s__instance(X3,X1)
              | ~ s__instance(X4,X1)
              | ( ~ s__instance(X5,X2)
                & ~ s__instance(X5,X0) ) )
            & s__instance(X3,X2)
            & s__instance(X4,X0)
            & s__instance(X5,X1)
            & s__instance(X2,s__SetOrClass)
            & s__instance(X1,s__SetOrClass)
            & s__instance(X0,s__SetOrClass) ) )
      & ( ! [X3,X4,X5] :
            ( ( s__instance(X3,X1)
              & s__instance(X4,X1)
              & ( s__instance(X5,X2)
                | s__instance(X5,X0) ) )
            | ~ s__instance(X3,X2)
            | ~ s__instance(X4,X0)
            | ~ s__instance(X5,X1)
            | ~ s__instance(X2,s__SetOrClass)
            | ~ s__instance(X1,s__SetOrClass)
            | ~ s__instance(X0,s__SetOrClass) )
        | ~ sP10(X1,X2,X0) ) ),
    inference(nnf_transformation,[],[f12433]) ).

fof(f12655,plain,
    ! [X0,X1,X2] :
      ( ( sP10(X0,X1,X2)
        | ? [X3,X4,X5] :
            ( ( ~ s__instance(X3,X0)
              | ~ s__instance(X4,X0)
              | ( ~ s__instance(X5,X1)
                & ~ s__instance(X5,X2) ) )
            & s__instance(X3,X1)
            & s__instance(X4,X2)
            & s__instance(X5,X0)
            & s__instance(X1,s__SetOrClass)
            & s__instance(X0,s__SetOrClass)
            & s__instance(X2,s__SetOrClass) ) )
      & ( ! [X6,X7,X8] :
            ( ( s__instance(X6,X0)
              & s__instance(X7,X0)
              & ( s__instance(X8,X1)
                | s__instance(X8,X2) ) )
            | ~ s__instance(X6,X1)
            | ~ s__instance(X7,X2)
            | ~ s__instance(X8,X0)
            | ~ s__instance(X1,s__SetOrClass)
            | ~ s__instance(X0,s__SetOrClass)
            | ~ s__instance(X2,s__SetOrClass) )
        | ~ sP10(X0,X1,X2) ) ),
    inference(rectify,[],[f12654]) ).

fof(f12656,plain,
    ! [X0,X1,X2] :
      ( ( sP10(X0,X1,X2)
        | ( ( ~ s__instance(sK155(X0,X1,X2),X0)
            | ~ s__instance(sK156(X0,X1,X2),X0)
            | ( ~ s__instance(sK157(X0,X1,X2),X1)
              & ~ s__instance(sK157(X0,X1,X2),X2) ) )
          & s__instance(sK155(X0,X1,X2),X1)
          & s__instance(sK156(X0,X1,X2),X2)
          & s__instance(sK157(X0,X1,X2),X0)
          & s__instance(X1,s__SetOrClass)
          & s__instance(X0,s__SetOrClass)
          & s__instance(X2,s__SetOrClass) ) )
      & ( ! [X6,X7,X8] :
            ( ( s__instance(X6,X0)
              & s__instance(X7,X0)
              & ( s__instance(X8,X1)
                | s__instance(X8,X2) ) )
            | ~ s__instance(X6,X1)
            | ~ s__instance(X7,X2)
            | ~ s__instance(X8,X0)
            | ~ s__instance(X1,s__SetOrClass)
            | ~ s__instance(X0,s__SetOrClass)
            | ~ s__instance(X2,s__SetOrClass) )
        | ~ sP10(X0,X1,X2) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK155,sK156,sK157]),skolemize(X3,sK155(X0,X1,X2)),skolemize(X4,sK156(X0,X1,X2)),skolemize(X5,sK157(X0,X1,X2))],[f12655]) ).

fof(f12657,plain,
    ! [X0,X1,X2] :
      ( ( X1 = s__UnionFn(X2,X0)
        | ~ sP10(X1,X2,X0) )
      & ( sP10(X1,X2,X0)
        | s__UnionFn(X2,X0) != X1 ) ),
    inference(nnf_transformation,[],[f12434]) ).

fof(f14820,plain,
    ! [X0] : s__instance(X0,s__Entity),
    inference(cnf_transformation,[],[f501]) ).

fof(f18045,plain,
    ! [X2,X0,X1] :
      ( sP10(X0,X1,X2)
      | s__instance(X2,s__SetOrClass) ),
    inference(cnf_transformation,[],[f12656]) ).

fof(f18046,plain,
    ! [X2,X0,X1] :
      ( sP10(X0,X1,X2)
      | s__instance(X0,s__SetOrClass) ),
    inference(cnf_transformation,[],[f12656]) ).

fof(f18047,plain,
    ! [X2,X0,X1] :
      ( sP10(X0,X1,X2)
      | s__instance(X1,s__SetOrClass) ),
    inference(cnf_transformation,[],[f12656]) ).

fof(f18048,plain,
    ! [X2,X0,X1] :
      ( s__instance(sK157(X0,X1,X2),X0)
      | sP10(X0,X1,X2) ),
    inference(cnf_transformation,[],[f12656]) ).

fof(f18049,plain,
    ! [X2,X0,X1] :
      ( s__instance(sK156(X0,X1,X2),X2)
      | sP10(X0,X1,X2) ),
    inference(cnf_transformation,[],[f12656]) ).

fof(f18050,plain,
    ! [X2,X0,X1] :
      ( s__instance(sK155(X0,X1,X2),X1)
      | sP10(X0,X1,X2) ),
    inference(cnf_transformation,[],[f12656]) ).

fof(f18054,plain,
    ! [X2,X0,X1] :
      ( ~ sP10(X1,X2,X0)
      | s__UnionFn(X2,X0) = X1 ),
    inference(cnf_transformation,[],[f12657]) ).

fof(f18090,plain,
    ! [X0,X1] :
      ( ~ s__instance(X1,X0)
      | ~ s__instance(X0,s__NullSet)
      | ~ s__instance(X0,s__SetOrClass) ),
    inference(cnf_transformation,[],[f11184]) ).

fof(f23261,plain,
    ! [X2,X0,X1] :
      ( ~ s__instance(X0,s__NullSet)
      | ~ s__instance(X0,s__SetOrClass)
      | sP10(X1,X0,X2) ),
    inference(resolution,[],[f18090,f18050]) ).

fof(f23262,plain,
    ! [X2,X0,X1] :
      ( ~ s__instance(X0,s__NullSet)
      | ~ s__instance(X0,s__SetOrClass)
      | sP10(X1,X2,X0) ),
    inference(resolution,[],[f18090,f18049]) ).

fof(f23273,plain,
    ! [X2,X0,X1] :
      ( sP10(X1,X2,X0)
      | ~ s__instance(X0,s__NullSet) ),
    inference(forward_subsumption_resolution,[],[f23262,f18045]) ).

fof(f23274,plain,
    ! [X2,X0,X1] :
      ( sP10(X1,X0,X2)
      | ~ s__instance(X0,s__NullSet) ),
    inference(forward_subsumption_resolution,[],[f23261,f18047]) ).

fof(f23275,plain,
    ! [X2,X0,X1] :
      ( ~ s__instance(X0,s__NullSet)
      | s__UnionFn(X1,X0) = X2 ),
    inference(resolution,[],[f23273,f18054]) ).

fof(f23281,plain,
    ! [X2,X0,X1] :
      ( sP10(X0,X1,X2)
      | ~ s__instance(X0,s__NullSet)
      | ~ s__instance(X0,s__SetOrClass) ),
    inference(resolution,[],[f18048,f18090]) ).

fof(f23283,plain,
    ! [X2,X3,X0,X1] :
      ( sP10(s__NullSet,X0,X1)
      | s__UnionFn(X2,sK157(s__NullSet,X0,X1)) = X3 ),
    inference(resolution,[],[f18048,f23275]) ).

fof(f23284,plain,
    ! [X2,X0,X1] :
      ( sP10(X0,X1,X2)
      | ~ s__instance(X0,s__NullSet) ),
    inference(forward_subsumption_resolution,[],[f23281,f18046]) ).

fof(f23285,plain,
    ! [X2,X0,X1] :
      ( ~ s__instance(X0,s__NullSet)
      | s__UnionFn(X1,X2) = X0 ),
    inference(resolution,[],[f23284,f18054]) ).

fof(f23286,plain,
    ! [X2,X3,X0,X1] :
      ( sP10(X2,s__NullSet,X3)
      | s__UnionFn(X0,X1) = sK155(X2,s__NullSet,X3) ),
    inference(resolution,[],[f23285,f18050]) ).

fof(f23289,plain,
    ! [X2,X3,X0,X1] :
      ( s__UnionFn(X0,sK157(s__NullSet,X1,X2)) = X3
      | s__NullSet = s__UnionFn(X1,X2) ),
    inference(resolution,[],[f23283,f18054]) ).

fof(f23291,plain,
    ! [X2,X3,X0,X4] :
      ( X0 = X4
      | s__NullSet = s__UnionFn(X2,X3)
      | s__NullSet = s__UnionFn(X2,X3) ),
    inference(superposition,[],[f23289,f23289]) ).

fof(f23296,plain,
    ! [X2,X3,X0,X4] :
      ( X0 = X4
      | s__NullSet = s__UnionFn(X2,X3) ),
    inference(duplicate_literal_removal,[],[f23291]) ).

fof(f23298,definition,
    ( spl504_69
  <=> ! [X2,X3] : s__NullSet = s__UnionFn(X2,X3) ),
    introduced(definition,[new_symbols(definition,[spl504_69])],[avatar_definition]) ).

fof(f23299,plain,
    ( ! [X2,X3] : s__NullSet = s__UnionFn(X2,X3)
    | ~ spl504_69 ),
    inference(avatar_component_clause,[],[f23298]) ).

fof(f23301,definition,
    ( spl504_70
  <=> ! [X4,X0] : X0 = X4 ),
    introduced(definition,[new_symbols(definition,[spl504_70])],[avatar_definition]) ).

fof(f23302,plain,
    ( ! [X0,X4] : X0 = X4
    | ~ spl504_70 ),
    inference(avatar_component_clause,[],[f23301]) ).

fof(f23303,plain,
    ( spl504_69
    | spl504_70 ),
    inference(avatar_split_clause,[],[f23296,f23301,f23298]) ).

fof(f23311,plain,
    ! [X2,X3,X0,X1] :
      ( s__UnionFn(X0,X1) = sK155(X2,s__NullSet,X3)
      | s__UnionFn(s__NullSet,X3) = X2 ),
    inference(resolution,[],[f23286,f18054]) ).

fof(f23312,plain,
    ( ! [X2,X3] :
        ( s__NullSet = sK155(X2,s__NullSet,X3)
        | s__UnionFn(s__NullSet,X3) = X2 )
    | ~ spl504_69 ),
    inference(forward_demodulation,[],[f23311,f23299]) ).

fof(f23313,plain,
    ( ! [X2,X3] :
        ( s__NullSet = sK155(X2,s__NullSet,X3)
        | s__NullSet = X2 )
    | ~ spl504_69 ),
    inference(forward_demodulation,[],[f23312,f23299]) ).

fof(f23315,plain,
    ( ! [X0,X1] :
        ( s__instance(s__NullSet,s__NullSet)
        | sP10(X0,s__NullSet,X1)
        | s__NullSet = X0 )
    | ~ spl504_69 ),
    inference(superposition,[],[f18050,f23313]) ).

fof(f23316,plain,
    ( ! [X0,X1] :
        ( sP10(X0,s__NullSet,X1)
        | s__NullSet = X0 )
    | ~ spl504_69 ),
    inference(forward_subsumption_resolution,[],[f23315,f23274]) ).

fof(f23317,plain,
    ( ! [X0,X1] :
        ( s__NullSet = X0
        | s__UnionFn(s__NullSet,X1) = X0 )
    | ~ spl504_69 ),
    inference(resolution,[],[f23316,f18054]) ).

fof(f23318,plain,
    ( ! [X0] :
        ( s__NullSet = X0
        | s__NullSet = X0 )
    | ~ spl504_69 ),
    inference(forward_demodulation,[],[f23317,f23299]) ).

fof(f23319,plain,
    ( ! [X0] : s__NullSet = X0
    | ~ spl504_69 ),
    inference(duplicate_literal_removal,[],[f23318]) ).

fof(f23320,plain,
    ( ! [X0,X1] : X0 = X1
    | ~ spl504_69 ),
    inference(superposition,[],[f23319,f23319]) ).

fof(f23340,plain,
    ( spl504_70
    | ~ spl504_69 ),
    inference(avatar_split_clause,[],[f23320,f23298,f23301]) ).

fof(f23358,plain,
    ( ! [X0,X1] : s__instance(X1,X0)
    | ~ spl504_70 ),
    inference(superposition,[],[f14820,f23302]) ).

fof(f23375,plain,
    ( ! [X0] :
        ( ~ s__instance(X0,s__NullSet)
        | ~ s__instance(X0,s__SetOrClass) )
    | ~ spl504_70 ),
    inference(resolution,[],[f23358,f18090]) ).

fof(f23379,plain,
    ( ! [X0] : ~ s__instance(X0,s__NullSet)
    | ~ spl504_70 ),
    inference(forward_subsumption_resolution,[],[f23375,f23358]) ).

fof(f23380,plain,
    ( $false
    | ~ spl504_70 ),
    inference(forward_subsumption_resolution,[],[f23379,f23358]) ).

fof(f23381,plain,
    ~ spl504_70,
    inference(avatar_contradiction_clause,[],[f23380]) ).

cnf(s40,plain,
    ( spl504_69
    | spl504_70 ),
    inference(sat_conversion,[],[f23303]) ).

cnf(s42,plain,
    ( ~ spl504_69
    | spl504_70 ),
    inference(sat_conversion,[],[f23340]) ).

cnf(s43,plain,
    ~ spl504_70,
    inference(sat_conversion,[],[f23381]) ).

cnf(s44,plain,
    ~ spl504_69,
    inference(rat,[],[s42,s43]) ).

cnf(s46,plain,
    $false,
    inference(rat,[],[s40,s43,s44]) ).

fof(f23382,plain,
    $false,
    inference(avatar_sat_refutation,[],[s46]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR089+4 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.18  % Computer : n006.cluster.edu
% 0.09/0.18  % Model    : x86_64 x86_64
% 0.09/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18  % Memory   : 8046.5625MB
% 0.09/0.18  % OS       : Linux 6.8.0-71-generic
% 0.09/0.18  % CPULimit : 300
% 0.09/0.18  % WCLimit  : 300
% 0.09/0.18  % DateTime : Mon Sep 28 22:39:10 UTC 2026
% 0.09/0.19  % CPUTime  : 
% 0.09/0.19  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.21  Running first-order theorem proving
% 0.09/0.21  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.32/2.46  % (288020)Detected formulas, will run a generic FOF schedule.
% 11.32/2.46  % (288029)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2966168634:i=119:av=off:ss=axioms_2997 on theBenchmark for (2997ds/119Mi)
% 11.32/2.46  % (288026)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=2360708303:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2997 on theBenchmark for (2997ds/134677Mi)
% 11.32/2.46  % (288031)dis-21_1_sil=8000:lcm=predicate:random_seed=2006393489:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2997 on theBenchmark for (2997ds/129Mi)
% 11.32/2.46  % (288028)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=590883157:i=109:sd=1:ins=1:gsp=on:ss=axioms_2997 on theBenchmark for (2997ds/109Mi)
% 11.32/2.46  % (288030)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4287620205:s2a=on:i=139:gtg=position_2997 on theBenchmark for (2997ds/139Mi)
% 11.32/2.46  % (288025)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=1167923799:i=141193_2997 on theBenchmark for (2997ds/141193Mi)
% 11.32/2.46  % (288027)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=3021494943:i=141695:sd=1:nm=32:gsp=on:ss=included_2997 on theBenchmark for (2997ds/141695Mi)
% 11.32/2.46  % (288029)Instruction limit reached! 
% 11.32/2.46  % (288029)------------------------------
% 11.32/2.46  % (288029)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.32/2.46  % (288029)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.32/2.46  % (288029)CaDiCaL version: 2.1.3
% 11.32/2.46  % (288029)Termination reason: Instruction limit
% 11.32/2.46  % (288029)Termination phase: Saturation
% 11.32/2.46  % (288029)Time elapsed: 0.038 s
% 11.32/2.46  % (288029)Peak memory usage: 94 MB
% 11.32/2.46  % (288029)Instructions burned: 120 (million)
% 11.32/2.46  % (288028)Refutation not found, incomplete strategy
% 11.32/2.46  % (288028)------------------------------
% 11.32/2.46  % (288028)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.32/2.46  % (288028)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.32/2.46  % (288028)CaDiCaL version: 2.1.3
% 11.32/2.46  % (288028)Termination reason: Refutation not found, incomplete strategy
% 11.32/2.46  % (288028)Time elapsed: 0.022 s
% 11.32/2.46  % (288028)Peak memory usage: 94 MB
% 11.32/2.46  % (288028)Instructions burned: 37 (million)
% 11.32/2.46  % (288031)Instruction limit reached! 
% 11.32/2.46  % (288031)------------------------------
% 11.32/2.46  % (288031)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.32/2.46  % (288031)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.32/2.46  % (288031)CaDiCaL version: 2.1.3
% 11.32/2.46  % (288031)Termination reason: Instruction limit
% 11.32/2.46  % (288031)Termination phase: Property scanning
% 11.32/2.46  % (288031)Time elapsed: 0.077 s
% 11.32/2.46  % (288031)Peak memory usage: 94 MB
% 11.32/2.46  % (288031)Instructions burned: 131 (million)
% 11.32/2.46  % (288030)Instruction limit reached! 
% 11.32/2.46  % (288030)------------------------------
% 11.32/2.46  % (288030)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.32/2.46  % (288030)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.32/2.46  % (288030)CaDiCaL version: 2.1.3
% 11.32/2.46  % (288030)Termination reason: Instruction limit
% 11.32/2.46  % (288030)Termination phase: Preprocessing 3
% 11.32/2.46  % (288030)Time elapsed: 0.078 s
% 11.32/2.46  % (288030)Peak memory usage: 94 MB
% 11.32/2.46  % (288030)Instructions burned: 139 (million)
% 11.32/2.46  % (288039)lrs+10_1_sil=8000:sp=occurrence:random_seed=1089001541:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 11.32/2.46  % (288039)Instruction limit reached! 
% 11.32/2.46  % (288039)------------------------------
% 11.32/2.46  % (288039)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.32/2.46  % (288039)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.32/2.46  % (288039)CaDiCaL version: 2.1.3
% 11.32/2.46  % (288039)Termination reason: Instruction limit
% 11.32/2.46  % (288039)Termination phase: Saturation
% 11.32/2.46  % (288039)Time elapsed: 0.091 s
% 11.32/2.46  % (288039)Peak memory usage: 97 MB
% 11.32/2.46  % (288039)Instructions burned: 288 (million)
% 11.32/2.46  % (288041)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4040587440:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 13.72/2.84  % (288040)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3047920852:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 13.72/2.84  % (288041)Refutation not found, incomplete strategy
% 13.72/2.84  % (288041)------------------------------
% 13.72/2.84  % (288041)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.72/2.84  % (288041)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.72/2.84  % (288041)CaDiCaL version: 2.1.3
% 13.72/2.84  % (288041)Termination reason: Refutation not found, incomplete strategy
% 13.72/2.84  % (288041)Time elapsed: 0.023 s
% 13.72/2.84  % (288041)Peak memory usage: 95 MB
% 13.72/2.84  % (288041)Instructions burned: 36 (million)
% 13.72/2.84  % (288028)------------------------------
% 13.72/2.84  % (288028)------------------------------
% 13.72/2.84  % (288040)Refutation not found, incomplete strategy
% 13.72/2.84  % (288040)------------------------------
% 13.72/2.84  % (288040)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.72/2.84  % (288040)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.72/2.84  % (288040)CaDiCaL version: 2.1.3
% 13.72/2.84  % (288040)Termination reason: Refutation not found, incomplete strategy
% 13.72/2.84  % (288040)Time elapsed: 0.040 s
% 13.72/2.84  % (288040)Peak memory usage: 94 MB
% 13.72/2.84  % (288040)Instructions burned: 82 (million)
% 13.72/2.84  % (288043)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=3381517218:s2a=on:i=248:s2at=1.23:gtg=position_2994 on theBenchmark for (2994ds/248Mi)
% 13.72/2.84  % (288043)Instruction limit reached! 
% 13.72/2.84  % (288043)------------------------------
% 13.72/2.84  % (288043)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.72/2.84  % (288043)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.72/2.84  % (288043)CaDiCaL version: 2.1.3
% 13.72/2.84  % (288043)Termination reason: Instruction limit
% 13.72/2.84  % (288043)Termination phase: Saturation
% 13.72/2.84  % (288043)Time elapsed: 0.072 s
% 13.72/2.84  % (288043)Peak memory usage: 99 MB
% 13.72/2.84  % (288043)Instructions burned: 249 (million)
% 13.72/2.84  % (288046)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2788045001:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 13.72/2.84  % (288046)Refutation not found, incomplete strategy
% 13.72/2.84  % (288046)------------------------------
% 13.72/2.84  % (288046)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.72/2.84  % (288046)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.72/2.84  % (288046)CaDiCaL version: 2.1.3
% 13.72/2.84  % (288046)Termination reason: Refutation not found, incomplete strategy
% 13.72/2.84  % (288046)Time elapsed: 0.033 s
% 13.72/2.84  % (288046)Peak memory usage: 95 MB
% 13.72/2.84  % (288046)Instructions burned: 59 (million)
% 13.72/2.84  % (288041)------------------------------
% 13.72/2.84  % (288041)------------------------------
% 13.72/2.84  % (288040)------------------------------
% 13.72/2.84  % (288040)------------------------------
% 13.72/2.84  % (288048)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=447981889:i=2350_2992 on theBenchmark for (2992ds/2350Mi)
% 13.72/2.84  % (288050)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3402457845:cts=off:i=113:fsr=off:ss=included:sgt=4_2991 on theBenchmark for (2991ds/113Mi)
% 13.72/2.84  % (288051)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2264775882:i=127:av=off:fsr=off:sup=off_2991 on theBenchmark for (2991ds/127Mi)
% 13.72/2.84  % (288046)------------------------------
% 13.72/2.84  % (288046)------------------------------
% 13.72/2.84  % (288050)Instruction limit reached! 
% 13.72/2.84  % (288050)------------------------------
% 13.72/2.84  % (288050)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.72/2.84  % (288050)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.72/2.84  % (288050)CaDiCaL version: 2.1.3
% 13.72/2.84  % (288050)Termination reason: Instruction limit
% 13.72/2.84  % (288050)Termination phase: Saturation
% 13.72/2.84  % (288050)Time elapsed: 0.065 s
% 13.72/2.84  % (288050)Peak memory usage: 96 MB
% 13.72/2.84  % (288050)Instructions burned: 113 (million)
% 13.72/2.84  % (288027)Refutation not found, incomplete strategy
% 13.72/2.84  % (288027)------------------------------
% 13.72/2.84  % (288027)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.72/2.84  % (288027)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.72/2.84  % (288027)CaDiCaL version: 2.1.3
% 13.72/2.84  % (288027)Termination reason: Refutation not found, incomplete strategy
% 13.72/2.84  % (288027)Time elapsed: 0.738 s
% 13.72/2.84  % (288027)Peak memory usage: 148 MB
% 13.72/2.84  % (288027)Instructions burned: 1116 (million)
% 13.72/2.84  % (288051)Instruction limit reached! 
% 13.72/2.84  % (288051)------------------------------
% 13.72/2.84  % (288051)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.72/2.84  % (288051)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.72/2.84  % (288051)CaDiCaL version: 2.1.3
% 13.72/2.84  % (288051)Termination reason: Instruction limit
% 13.72/2.84  % (288051)Termination phase: Property scanning
% 13.72/2.84  % (288051)Time elapsed: 0.076 s
% 13.72/2.84  % (288051)Peak memory usage: 97 MB
% 13.72/2.84  % (288051)Instructions burned: 129 (million)
% 13.72/2.84  % (288055)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2871866906:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2989 on theBenchmark for (2989ds/114Mi)
% 13.72/2.84  % (288056)lrs+10_1_sil=8000:sp=occurrence:random_seed=4214950446:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2988 on theBenchmark for (2988ds/907Mi)
% 13.72/2.84  % (288057)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1286724503:i=437:sd=1:aac=none:ss=included_2988 on theBenchmark for (2988ds/437Mi)
% 13.72/2.84  % (288055)Instruction limit reached! 
% 13.72/2.84  % (288055)------------------------------
% 13.72/2.84  % (288055)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.72/2.84  % (288055)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.72/2.84  % (288055)CaDiCaL version: 2.1.3
% 13.72/2.84  % (288055)Termination reason: Instruction limit
% 13.72/2.84  % (288055)Termination phase: SInE selection
% 13.72/2.84  % (288055)Time elapsed: 0.055 s
% 13.72/2.84  % (288055)Peak memory usage: 91 MB
% 13.72/2.84  % (288055)Instructions burned: 114 (million)
% 13.72/2.84  % (288057)Refutation not found, incomplete strategy
% 13.72/2.84  % (288057)------------------------------
% 13.72/2.84  % (288057)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.72/2.84  % (288057)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.72/2.84  % (288057)CaDiCaL version: 2.1.3
% 13.72/2.84  % (288057)Termination reason: Refutation not found, incomplete strategy
% 13.72/2.84  % (288057)Time elapsed: 0.032 s
% 13.72/2.84  % (288057)Peak memory usage: 95 MB
% 13.72/2.84  % (288057)Instructions burned: 56 (million)
% 13.72/2.84  % (288027)------------------------------
% 13.72/2.84  % (288027)------------------------------
% 13.72/2.84  % (288061)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3497406919:i=5202:ss=axioms:sgt=16_2986 on theBenchmark for (2986ds/5202Mi)
% 13.72/2.84  % (288062)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2941096553:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2986 on theBenchmark for (2986ds/134Mi)
% 13.72/2.84  % (288057)------------------------------
% 13.72/2.84  % (288057)------------------------------
% 13.72/2.84  % (288062)Instruction limit reached! 
% 13.72/2.84  % (288062)------------------------------
% 13.72/2.84  % (288062)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.72/2.84  % (288062)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.72/2.84  % (288062)CaDiCaL version: 2.1.3
% 13.72/2.84  % (288062)Termination reason: Instruction limit
% 13.72/2.84  % (288062)Termination phase: Saturation
% 13.72/2.84  % (288062)Time elapsed: 0.074 s
% 13.72/2.84  % (288062)Peak memory usage: 96 MB
% 13.72/2.84  % (288062)Instructions burned: 135 (million)
% 13.72/2.84  % (288065)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2964860148:st=8:i=592:sd=3:ep=RST:ss=axioms_2984 on theBenchmark for (2984ds/592Mi)
% 13.72/2.84  % (288066)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1618874341:st=3:i=13193:sd=3:ss=axioms_2983 on theBenchmark for (2983ds/13193Mi)
% 13.72/2.84  % (288056)Instruction limit reached! 
% 13.72/2.84  % (288056)------------------------------
% 13.72/2.84  % (288056)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.72/2.84  % (288056)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.72/2.84  % (288056)CaDiCaL version: 2.1.3
% 13.72/2.84  % (288056)Termination reason: Instruction limit
% 13.72/2.84  % (288056)Termination phase: Saturation
% 13.72/2.84  % (288056)Time elapsed: 0.531 s
% 13.72/2.84  % (288056)Peak memory usage: 112 MB
% 13.72/2.84  % (288056)Instructions burned: 907 (million)
% 13.72/2.84  % (288065)Refutation not found, incomplete strategy
% 13.72/2.84  % (288065)------------------------------
% 13.72/2.84  % (288065)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.72/2.84  % (288065)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.72/2.84  % (288065)CaDiCaL version: 2.1.3
% 13.72/2.84  % (288065)Termination reason: Refutation not found, incomplete strategy
% 13.72/2.84  % (288065)Time elapsed: 0.083 s
% 13.72/2.84  % (288065)Peak memory usage: 97 MB
% 13.72/2.84  % (288065)Instructions burned: 153 (million)
% 13.72/2.84  % (288069)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=1939184587:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2981 on theBenchmark for (2981ds/125Mi)
% 13.72/2.84  % (288025)First to succeed.
% 13.72/2.84  % (288025)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-288020"
% 13.72/2.84  % (288069)Instruction limit reached! 
% 13.72/2.84  % (288069)------------------------------
% 13.72/2.84  % (288069)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.72/2.84  % (288069)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.72/2.84  % (288069)CaDiCaL version: 2.1.3
% 13.72/2.84  % (288069)Termination reason: Instruction limit
% 13.72/2.84  % (288069)Termination phase: Saturation
% 13.72/2.84  % (288069)Time elapsed: 0.062 s
% 13.72/2.84  % (288069)Peak memory usage: 95 MB
% 13.72/2.84  % (288069)Instructions burned: 125 (million)
% 13.72/2.84  % (288048)Instruction limit reached! 
% 13.72/2.84  % (288048)------------------------------
% 13.72/2.84  % (288048)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.72/2.84  % (288048)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.72/2.84  % (288048)CaDiCaL version: 2.1.3
% 13.72/2.84  % (288048)Termination reason: Instruction limit
% 13.72/2.84  % (288048)Termination phase: Saturation
% 13.72/2.84  % (288048)Time elapsed: 1.128 s
% 13.72/2.84  % (288048)Peak memory usage: 208 MB
% 13.72/2.84  % (288048)Instructions burned: 2351 (million)
% 13.72/2.84  % (288065)------------------------------
% 13.72/2.84  % (288065)------------------------------
% 13.72/2.84  % (288025)Refutation found. Thanks to Tanya!
% 13.72/2.84  % SZS status ContradictoryAxioms for theBenchmark
% 13.72/2.84  % SZS output start Proof for theBenchmark
% See solution above
% 14.80/2.94  % (288025)------------------------------
% 14.80/2.94  % (288025)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.80/2.94  % (288025)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.80/2.94  % (288025)CaDiCaL version: 2.1.3
% 14.80/2.94  % (288025)Termination reason: Refutation
% 14.80/2.94  % (288025)Time elapsed: 1.647 s
% 14.80/2.94  % (288025)Peak memory usage: 215 MB
% 14.80/2.94  % (288025)Instructions burned: 3767 (million)
% 14.80/2.94  % (288025)------------------------------
% 14.80/2.94  % (288025)------------------------------
% 14.80/2.94  % (288020)Success in time 2.192 s
% 14.80/2.94  % Vampire exiting
%------------------------------------------------------------------------------