↑ Up

Vampire---5.0.1.CAX-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : CSR105+4 : TPTP v9.3.1. Bugfixed v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n005.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 09:43:05 AM UTC 2026

% Result   : ContradictoryAxioms 10.73s 2.38s
% Output   : Refutation 11.41s
% 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/sandbox2/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/sandbox2/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/sandbox2/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(f23272,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] :
      ( sP10(X0,X1,X2)
      | ~ s__instance(X2,s__NullSet)
      | ~ s__instance(X2,s__SetOrClass) ),
    inference(resolution,[],[f18049,f18090]) ).

fof(f23277,plain,
    ! [X2,X0,X1] :
      ( sP10(X0,X1,X2)
      | ~ s__instance(X2,s__NullSet) ),
    inference(forward_subsumption_resolution,[],[f23275,f18045]) ).

fof(f23278,plain,
    ! [X2,X0,X1] :
      ( ~ s__instance(X0,s__NullSet)
      | s__UnionFn(X1,X0) = X2 ),
    inference(resolution,[],[f23277,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(f23282,plain,
    ! [X2,X3,X0,X1] :
      ( sP10(s__NullSet,X0,X1)
      | s__UnionFn(X2,sK157(s__NullSet,X0,X1)) = X3 ),
    inference(resolution,[],[f18048,f23278]) ).

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,[],[f23282,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(f23312,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(f23313,plain,
    ( ! [X2,X3] :
        ( s__NullSet = sK155(X2,s__NullSet,X3)
        | s__UnionFn(s__NullSet,X3) = X2 )
    | ~ spl504_69 ),
    inference(forward_demodulation,[],[f23312,f23299]) ).

fof(f23314,plain,
    ( ! [X2,X3] :
        ( s__NullSet = sK155(X2,s__NullSet,X3)
        | s__NullSet = X2 )
    | ~ spl504_69 ),
    inference(forward_demodulation,[],[f23313,f23299]) ).

fof(f23316,plain,
    ( ! [X0,X1] :
        ( s__instance(s__NullSet,s__NullSet)
        | sP10(X0,s__NullSet,X1)
        | s__NullSet = X0 )
    | ~ spl504_69 ),
    inference(superposition,[],[f18050,f23314]) ).

fof(f23317,plain,
    ( ! [X0,X1] :
        ( sP10(X0,s__NullSet,X1)
        | s__NullSet = X0 )
    | ~ spl504_69 ),
    inference(forward_subsumption_resolution,[],[f23316,f23272]) ).

fof(f23318,plain,
    ( ! [X0,X1] :
        ( s__NullSet = X0
        | s__UnionFn(s__NullSet,X1) = X0 )
    | ~ spl504_69 ),
    inference(resolution,[],[f23317,f18054]) ).

fof(f23319,plain,
    ( ! [X0] :
        ( s__NullSet = X0
        | s__NullSet = X0 )
    | ~ spl504_69 ),
    inference(forward_demodulation,[],[f23318,f23299]) ).

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

fof(f23321,plain,
    ( ! [X0,X1] : X0 = X1
    | ~ spl504_69 ),
    inference(superposition,[],[f23320,f23320]) ).

fof(f23343,plain,
    ( spl504_70
    | ~ spl504_69 ),
    inference(avatar_split_clause,[],[f23321,f23298,f23301]) ).

fof(f23362,plain,
    ( ! [X0,X1] : s__instance(X1,X0)
    | ~ spl504_70 ),
    inference(superposition,[],[f14820,f23302]) ).

fof(f23380,plain,
    ( ! [X0] :
        ( ~ s__instance(X0,s__NullSet)
        | ~ s__instance(X0,s__SetOrClass) )
    | ~ spl504_70 ),
    inference(resolution,[],[f23362,f18090]) ).

fof(f23384,plain,
    ( ! [X0] : ~ s__instance(X0,s__NullSet)
    | ~ spl504_70 ),
    inference(forward_subsumption_resolution,[],[f23380,f23362]) ).

fof(f23385,plain,
    ( $false
    | ~ spl504_70 ),
    inference(forward_subsumption_resolution,[],[f23384,f23362]) ).

fof(f23386,plain,
    ~ spl504_70,
    inference(avatar_contradiction_clause,[],[f23385]) ).

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

cnf(s42,plain,
    ( ~ spl504_69
    | spl504_70 ),
    inference(sat_conversion,[],[f23343]) ).

cnf(s43,plain,
    ~ spl504_70,
    inference(sat_conversion,[],[f23386]) ).

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

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

fof(f23387,plain,
    $false,
    inference(avatar_sat_refutation,[],[s46]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR105+4 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.21  % Computer : n005.cluster.edu
% 0.08/0.21  % Model    : x86_64 x86_64
% 0.08/0.21  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.21  % Memory   : 8046.5625MB
% 0.08/0.21  % OS       : Linux 6.8.0-71-generic
% 0.08/0.21  % CPULimit : 300
% 0.08/0.21  % WCLimit  : 300
% 0.08/0.21  % DateTime : Mon Sep 28 22:55:32 UTC 2026
% 0.08/0.21  % CPUTime  : 
% 0.08/0.21  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.24  Running first-order theorem proving
% 0.08/0.24  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
% 10.73/2.38  % (1263948)Detected formulas, will run a generic FOF schedule.
% 10.73/2.38  % (1263953)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=3533733774:i=141193_2997 on theBenchmark for (2997ds/141193Mi)
% 10.73/2.38  % (1263957)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2696251014:i=119:av=off:ss=axioms_2997 on theBenchmark for (2997ds/119Mi)
% 10.73/2.38  % (1263959)dis-21_1_sil=8000:lcm=predicate:random_seed=965977522: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)
% 10.73/2.38  % (1263955)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=2440874879:i=141695:sd=1:nm=32:gsp=on:ss=included_2997 on theBenchmark for (2997ds/141695Mi)
% 10.73/2.38  % (1263954)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=2822792940:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2997 on theBenchmark for (2997ds/134677Mi)
% 10.73/2.38  % (1263956)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3825512721:i=109:sd=1:ins=1:gsp=on:ss=axioms_2997 on theBenchmark for (2997ds/109Mi)
% 10.73/2.38  % (1263958)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=933035938:s2a=on:i=139:gtg=position_2997 on theBenchmark for (2997ds/139Mi)
% 10.73/2.38  % (1263956)Refutation not found, incomplete strategy
% 10.73/2.38  % (1263956)------------------------------
% 10.73/2.38  % (1263956)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.73/2.38  % (1263956)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.73/2.38  % (1263956)CaDiCaL version: 2.1.3
% 10.73/2.38  % (1263956)Termination reason: Refutation not found, incomplete strategy
% 10.73/2.38  % (1263956)Time elapsed: 0.022 s
% 10.73/2.38  % (1263956)Peak memory usage: 94 MB
% 10.73/2.38  % (1263956)Instructions burned: 38 (million)
% 10.73/2.38  % (1263957)Instruction limit reached! 
% 10.73/2.38  % (1263957)------------------------------
% 10.73/2.38  % (1263957)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.73/2.38  % (1263957)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.73/2.38  % (1263957)CaDiCaL version: 2.1.3
% 10.73/2.38  % (1263957)Termination reason: Instruction limit
% 10.73/2.38  % (1263957)Termination phase: Saturation
% 10.73/2.38  % (1263957)Time elapsed: 0.065 s
% 10.73/2.38  % (1263957)Peak memory usage: 94 MB
% 10.73/2.38  % (1263957)Instructions burned: 120 (million)
% 10.73/2.38  % (1263959)Instruction limit reached! 
% 10.73/2.38  % (1263959)------------------------------
% 10.73/2.38  % (1263959)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.73/2.38  % (1263959)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.73/2.38  % (1263959)CaDiCaL version: 2.1.3
% 10.73/2.38  % (1263959)Termination reason: Instruction limit
% 10.73/2.38  % (1263959)Termination phase: Property scanning
% 10.73/2.38  % (1263959)Time elapsed: 0.073 s
% 10.73/2.38  % (1263959)Peak memory usage: 94 MB
% 10.73/2.38  % (1263959)Instructions burned: 129 (million)
% 10.73/2.38  % (1263958)Instruction limit reached! 
% 10.73/2.38  % (1263958)------------------------------
% 10.73/2.38  % (1263958)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.73/2.38  % (1263958)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.73/2.38  % (1263958)CaDiCaL version: 2.1.3
% 10.73/2.38  % (1263958)Termination reason: Instruction limit
% 10.73/2.38  % (1263958)Termination phase: Preprocessing 3
% 10.73/2.38  % (1263958)Time elapsed: 0.080 s
% 10.73/2.38  % (1263958)Peak memory usage: 94 MB
% 10.73/2.38  % (1263958)Instructions burned: 139 (million)
% 10.73/2.38  % (1263969)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3708504717:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 10.73/2.38  % (1263967)lrs+10_1_sil=8000:sp=occurrence:random_seed=3609226887:i=285:sd=3:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/285Mi)
% 10.73/2.38  % (1263968)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1568254695:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 10.73/2.38  % (1263969)Refutation not found, incomplete strategy
% 10.73/2.38  % (1263969)------------------------------
% 10.73/2.38  % (1263969)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.73/2.38  % (1263969)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.73/2.38  % (1263969)CaDiCaL version: 2.1.3
% 10.73/2.38  % (1263969)Termination reason: Refutation not found, incomplete strategy
% 10.73/2.38  % (1263969)Time elapsed: 0.022 s
% 10.73/2.38  % (1263969)Peak memory usage: 95 MB
% 10.73/2.38  % (1263969)Instructions burned: 36 (million)
% 10.73/2.38  % (1263956)------------------------------
% 10.73/2.38  % (1263956)------------------------------
% 10.73/2.38  % (1263968)Instruction limit reached! 
% 10.73/2.38  % (1263968)------------------------------
% 10.73/2.38  % (1263968)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.73/2.38  % (1263968)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.73/2.38  % (1263968)CaDiCaL version: 2.1.3
% 10.73/2.38  % (1263968)Termination reason: Instruction limit
% 10.73/2.38  % (1263968)Termination phase: Saturation
% 10.73/2.38  % (1263968)Time elapsed: 0.079 s
% 10.73/2.38  % (1263968)Peak memory usage: 95 MB
% 10.73/2.38  % (1263968)Instructions burned: 157 (million)
% 10.73/2.38  % (1263967)Instruction limit reached! 
% 10.73/2.38  % (1263967)------------------------------
% 10.73/2.38  % (1263967)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.73/2.38  % (1263967)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.73/2.38  % (1263967)CaDiCaL version: 2.1.3
% 10.73/2.38  % (1263967)Termination reason: Instruction limit
% 10.73/2.38  % (1263967)Termination phase: Saturation
% 10.73/2.38  % (1263967)Time elapsed: 0.172 s
% 10.73/2.38  % (1263967)Peak memory usage: 97 MB
% 10.73/2.38  % (1263967)Instructions burned: 285 (million)
% 10.73/2.38  % (1263973)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=3244939572:s2a=on:i=248:s2at=1.23:gtg=position_2993 on theBenchmark for (2993ds/248Mi)
% 10.73/2.38  % (1263974)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=975140630:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 10.73/2.38  % (1263969)------------------------------
% 10.73/2.38  % (1263969)------------------------------
% 10.73/2.38  % (1263975)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3699104031:i=2350_2992 on theBenchmark for (2992ds/2350Mi)
% 10.73/2.38  % (1263973)Instruction limit reached! 
% 10.73/2.38  % (1263973)------------------------------
% 10.73/2.38  % (1263973)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.73/2.38  % (1263973)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.73/2.38  % (1263973)CaDiCaL version: 2.1.3
% 10.73/2.38  % (1263973)Termination reason: Instruction limit
% 10.73/2.38  % (1263973)Termination phase: Saturation
% 10.73/2.38  % (1263973)Time elapsed: 0.133 s
% 10.73/2.38  % (1263973)Peak memory usage: 99 MB
% 10.73/2.38  % (1263973)Instructions burned: 250 (million)
% 10.73/2.38  % (1263974)Instruction limit reached! 
% 10.73/2.38  % (1263974)------------------------------
% 10.73/2.38  % (1263974)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.73/2.38  % (1263974)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.73/2.38  % (1263974)CaDiCaL version: 2.1.3
% 10.73/2.38  % (1263974)Termination reason: Instruction limit
% 10.73/2.38  % (1263974)Termination phase: Saturation
% 10.73/2.38  % (1263974)Time elapsed: 0.146 s
% 10.73/2.38  % (1263974)Peak memory usage: 95 MB
% 10.73/2.38  % (1263974)Instructions burned: 295 (million)
% 10.73/2.38  % (1263978)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2513829536:cts=off:i=113:fsr=off:ss=included:sgt=4_2991 on theBenchmark for (2991ds/113Mi)
% 10.73/2.38  % (1263980)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=347122844:i=127:av=off:fsr=off:sup=off_2991 on theBenchmark for (2991ds/127Mi)
% 10.73/2.38  % (1263978)Instruction limit reached! 
% 10.73/2.38  % (1263978)------------------------------
% 10.73/2.38  % (1263978)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.73/2.38  % (1263978)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.73/2.38  % (1263978)CaDiCaL version: 2.1.3
% 10.73/2.38  % (1263978)Termination reason: Instruction limit
% 10.73/2.38  % (1263978)Termination phase: Saturation
% 10.73/2.38  % (1263978)Time elapsed: 0.067 s
% 10.73/2.38  % (1263978)Peak memory usage: 96 MB
% 10.73/2.38  % (1263978)Instructions burned: 115 (million)
% 10.73/2.38  % (1263981)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1764229666:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2990 on theBenchmark for (2990ds/114Mi)
% 10.73/2.38  % (1263980)Instruction limit reached! 
% 10.73/2.38  % (1263980)------------------------------
% 10.73/2.38  % (1263980)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.73/2.38  % (1263980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.73/2.38  % (1263980)CaDiCaL version: 2.1.3
% 10.73/2.38  % (1263980)Termination reason: Instruction limit
% 10.73/2.38  % (1263980)Termination phase: Property scanning
% 10.73/2.38  % (1263980)Time elapsed: 0.073 s
% 10.73/2.38  % (1263980)Peak memory usage: 97 MB
% 10.73/2.38  % (1263980)Instructions burned: 129 (million)
% 10.73/2.38  % (1263981)Instruction limit reached! 
% 10.73/2.38  % (1263981)------------------------------
% 10.73/2.38  % (1263981)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.73/2.38  % (1263981)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.73/2.38  % (1263981)CaDiCaL version: 2.1.3
% 10.73/2.38  % (1263981)Termination reason: Instruction limit
% 10.73/2.38  % (1263981)Termination phase: SInE selection
% 10.73/2.38  % (1263981)Time elapsed: 0.051 s
% 10.73/2.38  % (1263981)Peak memory usage: 91 MB
% 10.73/2.38  % (1263981)Instructions burned: 115 (million)
% 10.73/2.38  % (1263984)lrs+10_1_sil=8000:sp=occurrence:random_seed=1570799473:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2989 on theBenchmark for (2989ds/907Mi)
% 10.73/2.38  % (1263987)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=220471707:i=5202:ss=axioms:sgt=16_2988 on theBenchmark for (2988ds/5202Mi)
% 10.73/2.38  % (1263986)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3777743999:i=437:sd=1:aac=none:ss=included_2989 on theBenchmark for (2989ds/437Mi)
% 10.73/2.38  % (1263986)Instruction limit reached! 
% 10.73/2.38  % (1263986)------------------------------
% 10.73/2.38  % (1263986)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.73/2.38  % (1263986)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.73/2.38  % (1263986)CaDiCaL version: 2.1.3
% 10.73/2.38  % (1263986)Termination reason: Instruction limit
% 10.73/2.38  % (1263986)Termination phase: Saturation
% 10.73/2.38  % (1263986)Time elapsed: 0.168 s
% 10.73/2.38  % (1263986)Peak memory usage: 95 MB
% 10.73/2.38  % (1263986)Instructions burned: 440 (million)
% 10.73/2.38  % (1263953)First to succeed.
% 10.73/2.38  % (1263953)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1263948"
% 10.73/2.38  % (1263991)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1779508731:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2985 on theBenchmark for (2985ds/134Mi)
% 10.73/2.38  % (1263991)Instruction limit reached! 
% 10.73/2.38  % (1263991)------------------------------
% 10.73/2.38  % (1263991)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.73/2.38  % (1263991)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.73/2.38  % (1263991)CaDiCaL version: 2.1.3
% 10.73/2.38  % (1263991)Termination reason: Instruction limit
% 10.73/2.38  % (1263991)Termination phase: Saturation
% 10.73/2.38  % (1263991)Time elapsed: 0.075 s
% 10.73/2.38  % (1263991)Peak memory usage: 96 MB
% 10.73/2.38  % (1263991)Instructions burned: 135 (million)
% 10.73/2.38  % (1263984)Instruction limit reached! 
% 10.73/2.38  % (1263984)------------------------------
% 10.73/2.38  % (1263984)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.73/2.38  % (1263984)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.73/2.38  % (1263984)CaDiCaL version: 2.1.3
% 10.73/2.38  % (1263984)Termination reason: Instruction limit
% 10.73/2.38  % (1263984)Termination phase: Saturation
% 10.73/2.38  % (1263984)Time elapsed: 0.512 s
% 10.73/2.38  % (1263984)Peak memory usage: 111 MB
% 10.73/2.38  % (1263984)Instructions burned: 908 (million)
% 10.73/2.38  % (1263953)Refutation found. Thanks to Tanya!
% 10.73/2.38  % SZS status ContradictoryAxioms for theBenchmark
% 10.73/2.38  % SZS output start Proof for theBenchmark
% See solution above
% 11.41/2.58  % (1263953)------------------------------
% 11.41/2.58  % (1263953)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.41/2.58  % (1263953)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.41/2.58  % (1263953)CaDiCaL version: 2.1.3
% 11.41/2.58  % (1263953)Termination reason: Refutation
% 11.41/2.58  % (1263953)Time elapsed: 1.230 s
% 11.41/2.58  % (1263953)Peak memory usage: 203 MB
% 11.41/2.58  % (1263953)Instructions burned: 3767 (million)
% 11.41/2.58  % (1263953)------------------------------
% 11.41/2.58  % (1263953)------------------------------
% 11.41/2.58  % (1263948)Success in time 1.702 s
% 11.41/2.58  % Vampire exiting
%------------------------------------------------------------------------------