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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SEU255+2 : TPTP v9.3.1. Released v3.3.0.
% 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 12:48:02 PM UTC 2026

% Result   : Theorem 2.50s 1.28s
% Output   : Refutation 3.65s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   61 (   9 unt;   3 def)
%            Number of atoms       :  186 (  16 equ)
%            Maximal formula atoms :    9 (   3 avg)
%            Number of connectives :  218 (  93   ~;  87   |;  22   &)
%                                         (   8 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   4 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   2 con; 0-2 aty)
%            Number of variables   :   61 (   0 sgn  53   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f85,axiom,
    ! [X0,X1] :
      ( relation(X0)
     => relation(relation_restriction(X0,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_wellord1) ).

fof(f152,axiom,
    ! [X0] :
      ( relation(X0)
     => ( antisymmetric(X0)
      <=> ! [X1,X2] :
            ( ( in(ordered_pair(X1,X2),X0)
              & in(ordered_pair(X2,X1),X0) )
           => X1 = X2 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l3_wellord1) ).

fof(f204,axiom,
    ! [X0,X1,X2] :
      ( relation(X2)
     => ( in(X0,relation_restriction(X2,X1))
      <=> ( in(X0,X2)
          & in(X0,cartesian_product2(X1,X1)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t16_wellord1) ).

fof(f230,conjecture,
    ! [X0,X1] :
      ( relation(X1)
     => ( antisymmetric(X1)
       => antisymmetric(relation_restriction(X1,X0)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t25_wellord1) ).

fof(f231,negated_conjecture,
    ~ ! [X0,X1] :
        ( relation(X1)
       => ( antisymmetric(X1)
         => antisymmetric(relation_restriction(X1,X0)) ) ),
    inference(negated_conjecture,[status(cth)],[f230]) ).

fof(f393,plain,
    ! [X0,X1] :
      ( relation(relation_restriction(X0,X1))
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f85]) ).

fof(f449,plain,
    ! [X0] :
      ( ( antisymmetric(X0)
      <=> ! [X1,X2] :
            ( X1 = X2
            | ~ in(ordered_pair(X1,X2),X0)
            | ~ in(ordered_pair(X2,X1),X0) ) )
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f152]) ).

fof(f450,plain,
    ! [X0] :
      ( ( antisymmetric(X0)
      <=> ! [X1,X2] :
            ( X1 = X2
            | ~ in(ordered_pair(X1,X2),X0)
            | ~ in(ordered_pair(X2,X1),X0) ) )
      | ~ relation(X0) ),
    inference(flattening,[],[f449]) ).

fof(f494,plain,
    ! [X0,X1,X2] :
      ( ( in(X0,relation_restriction(X2,X1))
      <=> ( in(X0,X2)
          & in(X0,cartesian_product2(X1,X1)) ) )
      | ~ relation(X2) ),
    inference(ennf_transformation,[],[f204]) ).

fof(f533,plain,
    ? [X0,X1] :
      ( ~ antisymmetric(relation_restriction(X1,X0))
      & antisymmetric(X1)
      & relation(X1) ),
    inference(ennf_transformation,[],[f231]) ).

fof(f534,plain,
    ? [X0,X1] :
      ( ~ antisymmetric(relation_restriction(X1,X0))
      & antisymmetric(X1)
      & relation(X1) ),
    inference(flattening,[],[f533]) ).

fof(f777,plain,
    ! [X0] :
      ( ( ( antisymmetric(X0)
          | ? [X1,X2] :
              ( X1 != X2
              & in(ordered_pair(X1,X2),X0)
              & in(ordered_pair(X2,X1),X0) ) )
        & ( ! [X1,X2] :
              ( X1 = X2
              | ~ in(ordered_pair(X1,X2),X0)
              | ~ in(ordered_pair(X2,X1),X0) )
          | ~ antisymmetric(X0) ) )
      | ~ relation(X0) ),
    inference(nnf_transformation,[],[f450]) ).

fof(f778,plain,
    ! [X0] :
      ( ( ( antisymmetric(X0)
          | ? [X1,X2] :
              ( X1 != X2
              & in(ordered_pair(X1,X2),X0)
              & in(ordered_pair(X2,X1),X0) ) )
        & ( ! [X3,X4] :
              ( X3 = X4
              | ~ in(ordered_pair(X3,X4),X0)
              | ~ in(ordered_pair(X4,X3),X0) )
          | ~ antisymmetric(X0) ) )
      | ~ relation(X0) ),
    inference(rectify,[],[f777]) ).

fof(f779,plain,
    ! [X0] :
      ( ( ( antisymmetric(X0)
          | ( sK83(X0) != sK84(X0)
            & in(ordered_pair(sK83(X0),sK84(X0)),X0)
            & in(ordered_pair(sK84(X0),sK83(X0)),X0) ) )
        & ( ! [X3,X4] :
              ( X3 = X4
              | ~ in(ordered_pair(X3,X4),X0)
              | ~ in(ordered_pair(X4,X3),X0) )
          | ~ antisymmetric(X0) ) )
      | ~ relation(X0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK83,sK84]),skolemize(X1,sK83(X0)),skolemize(X2,sK84(X0))],[f778]) ).

fof(f816,plain,
    ! [X0,X1,X2] :
      ( ( ( in(X0,relation_restriction(X2,X1))
          | ~ in(X0,X2)
          | ~ in(X0,cartesian_product2(X1,X1)) )
        & ( ( in(X0,X2)
            & in(X0,cartesian_product2(X1,X1)) )
          | ~ in(X0,relation_restriction(X2,X1)) ) )
      | ~ relation(X2) ),
    inference(nnf_transformation,[],[f494]) ).

fof(f817,plain,
    ! [X0,X1,X2] :
      ( ( ( in(X0,relation_restriction(X2,X1))
          | ~ in(X0,X2)
          | ~ in(X0,cartesian_product2(X1,X1)) )
        & ( ( in(X0,X2)
            & in(X0,cartesian_product2(X1,X1)) )
          | ~ in(X0,relation_restriction(X2,X1)) ) )
      | ~ relation(X2) ),
    inference(flattening,[],[f816]) ).

fof(f820,plain,
    ( ~ antisymmetric(relation_restriction(sK106,sK105))
    & antisymmetric(sK106)
    & relation(sK106) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK105,sK106]),skolemize(X0,sK105),skolemize(X1,sK106)],[f534]) ).

fof(f1137,plain,
    ! [X0,X1] :
      ( relation(relation_restriction(X0,X1))
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f393]) ).

fof(f1228,plain,
    ! [X3,X0,X4] :
      ( ~ antisymmetric(X0)
      | ~ in(ordered_pair(X3,X4),X0)
      | ~ in(ordered_pair(X4,X3),X0)
      | X3 = X4
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f779]) ).

fof(f1229,plain,
    ! [X0] :
      ( antisymmetric(X0)
      | in(ordered_pair(sK84(X0),sK83(X0)),X0)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f779]) ).

fof(f1230,plain,
    ! [X0] :
      ( antisymmetric(X0)
      | in(ordered_pair(sK83(X0),sK84(X0)),X0)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f779]) ).

fof(f1231,plain,
    ! [X0] :
      ( sK83(X0) != sK84(X0)
      | antisymmetric(X0)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f779]) ).

fof(f1333,plain,
    ! [X2,X0,X1] :
      ( ~ in(X0,relation_restriction(X2,X1))
      | in(X0,X2)
      | ~ relation(X2) ),
    inference(cnf_transformation,[],[f817]) ).

fof(f1366,plain,
    relation(sK106),
    inference(cnf_transformation,[],[f820]) ).

fof(f1367,plain,
    antisymmetric(sK106),
    inference(cnf_transformation,[],[f820]) ).

fof(f1368,plain,
    ~ antisymmetric(relation_restriction(sK106,sK105)),
    inference(cnf_transformation,[],[f820]) ).

fof(f1638,plain,
    ( in(ordered_pair(sK84(relation_restriction(sK106,sK105)),sK83(relation_restriction(sK106,sK105))),relation_restriction(sK106,sK105))
    | ~ relation(relation_restriction(sK106,sK105)) ),
    inference(resolution,[],[f1229,f1368]) ).

fof(f1640,definition,
    ( spl123_3
  <=> relation(relation_restriction(sK106,sK105)) ),
    introduced(definition,[new_symbols(definition,[spl123_3])],[avatar_definition]) ).

fof(f1641,plain,
    ( relation(relation_restriction(sK106,sK105))
    | ~ spl123_3 ),
    inference(avatar_component_clause,[],[f1640]) ).

fof(f1642,plain,
    ( ~ relation(relation_restriction(sK106,sK105))
    | spl123_3 ),
    inference(avatar_component_clause,[],[f1640]) ).

fof(f1644,definition,
    ( spl123_4
  <=> in(ordered_pair(sK84(relation_restriction(sK106,sK105)),sK83(relation_restriction(sK106,sK105))),relation_restriction(sK106,sK105)) ),
    introduced(definition,[new_symbols(definition,[spl123_4])],[avatar_definition]) ).

fof(f1646,plain,
    ( in(ordered_pair(sK84(relation_restriction(sK106,sK105)),sK83(relation_restriction(sK106,sK105))),relation_restriction(sK106,sK105))
    | ~ spl123_4 ),
    inference(avatar_component_clause,[],[f1644]) ).

fof(f1647,plain,
    ( ~ spl123_3
    | spl123_4 ),
    inference(avatar_split_clause,[],[f1638,f1644,f1640]) ).

fof(f1648,plain,
    ( ~ relation(sK106)
    | spl123_3 ),
    inference(resolution,[],[f1642,f1137]) ).

fof(f1649,plain,
    ( $false
    | spl123_3 ),
    inference(forward_subsumption_resolution,[],[f1648,f1366]) ).

fof(f1650,plain,
    spl123_3,
    inference(avatar_contradiction_clause,[],[f1649]) ).

fof(f1651,plain,
    ( in(ordered_pair(sK83(relation_restriction(sK106,sK105)),sK84(relation_restriction(sK106,sK105))),relation_restriction(sK106,sK105))
    | ~ relation(relation_restriction(sK106,sK105)) ),
    inference(resolution,[],[f1230,f1368]) ).

fof(f1653,definition,
    ( spl123_5
  <=> in(ordered_pair(sK83(relation_restriction(sK106,sK105)),sK84(relation_restriction(sK106,sK105))),relation_restriction(sK106,sK105)) ),
    introduced(definition,[new_symbols(definition,[spl123_5])],[avatar_definition]) ).

fof(f1655,plain,
    ( in(ordered_pair(sK83(relation_restriction(sK106,sK105)),sK84(relation_restriction(sK106,sK105))),relation_restriction(sK106,sK105))
    | ~ spl123_5 ),
    inference(avatar_component_clause,[],[f1653]) ).

fof(f1656,plain,
    ( ~ spl123_3
    | spl123_5 ),
    inference(avatar_split_clause,[],[f1651,f1653,f1640]) ).

fof(f1657,plain,
    ( in(ordered_pair(sK84(relation_restriction(sK106,sK105)),sK83(relation_restriction(sK106,sK105))),sK106)
    | ~ relation(sK106)
    | ~ spl123_4 ),
    inference(resolution,[],[f1646,f1333]) ).

fof(f1658,plain,
    ( in(ordered_pair(sK84(relation_restriction(sK106,sK105)),sK83(relation_restriction(sK106,sK105))),sK106)
    | ~ spl123_4 ),
    inference(forward_subsumption_resolution,[],[f1657,f1366]) ).

fof(f1661,plain,
    ( in(ordered_pair(sK83(relation_restriction(sK106,sK105)),sK84(relation_restriction(sK106,sK105))),sK106)
    | ~ relation(sK106)
    | ~ spl123_5 ),
    inference(resolution,[],[f1655,f1333]) ).

fof(f1662,plain,
    ( in(ordered_pair(sK83(relation_restriction(sK106,sK105)),sK84(relation_restriction(sK106,sK105))),sK106)
    | ~ spl123_5 ),
    inference(forward_subsumption_resolution,[],[f1661,f1366]) ).

fof(f1665,plain,
    ! [X0,X1] :
      ( ~ in(ordered_pair(X0,X1),sK106)
      | ~ in(ordered_pair(X1,X0),sK106)
      | X0 = X1
      | ~ relation(sK106) ),
    inference(resolution,[],[f1228,f1367]) ).

fof(f1670,plain,
    ! [X0,X1] :
      ( ~ in(ordered_pair(X0,X1),sK106)
      | ~ in(ordered_pair(X1,X0),sK106)
      | X0 = X1 ),
    inference(forward_subsumption_resolution,[],[f1665,f1366]) ).

fof(f1672,plain,
    ( ~ in(ordered_pair(sK84(relation_restriction(sK106,sK105)),sK83(relation_restriction(sK106,sK105))),sK106)
    | sK84(relation_restriction(sK106,sK105)) = sK83(relation_restriction(sK106,sK105))
    | ~ spl123_5 ),
    inference(resolution,[],[f1670,f1662]) ).

fof(f1674,plain,
    ( sK84(relation_restriction(sK106,sK105)) = sK83(relation_restriction(sK106,sK105))
    | ~ spl123_4
    | ~ spl123_5 ),
    inference(forward_subsumption_resolution,[],[f1672,f1658]) ).

fof(f1680,plain,
    ( sK83(relation_restriction(sK106,sK105)) != sK83(relation_restriction(sK106,sK105))
    | antisymmetric(relation_restriction(sK106,sK105))
    | ~ relation(relation_restriction(sK106,sK105))
    | ~ spl123_4
    | ~ spl123_5 ),
    inference(superposition,[],[f1231,f1674]) ).

fof(f1681,plain,
    ( antisymmetric(relation_restriction(sK106,sK105))
    | ~ relation(relation_restriction(sK106,sK105))
    | ~ spl123_4
    | ~ spl123_5 ),
    inference(trivial_inequality_removal,[],[f1680]) ).

fof(f1682,plain,
    ( ~ relation(relation_restriction(sK106,sK105))
    | ~ spl123_4
    | ~ spl123_5 ),
    inference(forward_subsumption_resolution,[],[f1681,f1368]) ).

fof(f1683,plain,
    ( $false
    | ~ spl123_3
    | ~ spl123_4
    | ~ spl123_5 ),
    inference(forward_subsumption_resolution,[],[f1682,f1641]) ).

fof(f1684,plain,
    ( ~ spl123_3
    | ~ spl123_4
    | ~ spl123_5 ),
    inference(avatar_contradiction_clause,[],[f1683]) ).

cnf(s2,plain,
    ( ~ spl123_3
    | spl123_4 ),
    inference(sat_conversion,[],[f1647]) ).

cnf(s3,plain,
    spl123_3,
    inference(sat_conversion,[],[f1650]) ).

cnf(s4,plain,
    ( ~ spl123_3
    | spl123_5 ),
    inference(sat_conversion,[],[f1656]) ).

cnf(s5,plain,
    ( ~ spl123_3
    | ~ spl123_4
    | ~ spl123_5 ),
    inference(sat_conversion,[],[f1684]) ).

cnf(s6,plain,
    spl123_5,
    inference(rat,[],[s4,s3]) ).

cnf(s7,plain,
    ~ spl123_4,
    inference(rat,[],[s5,s3,s6]) ).

cnf(s8,plain,
    $false,
    inference(rat,[],[s2,s7,s3]) ).

fof(f1685,plain,
    $false,
    inference(avatar_sat_refutation,[],[s8]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SEU255+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.36  % Computer : n006.cluster.edu
% 0.11/0.36  % Model    : x86_64 x86_64
% 0.11/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36  % Memory   : 8046.5625MB
% 0.11/0.36  % OS       : Linux 6.8.0-71-generic
% 0.11/0.36  % CPULimit : 300
% 0.11/0.36  % WCLimit  : 300
% 0.11/0.36  % DateTime : Mon Sep 28 04:20:40 UTC 2026
% 0.11/0.37  % CPUTime  : 
% 0.11/0.37  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.40  Running first-order theorem proving
% 0.11/0.40  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
% 2.50/1.28  % (3577218)Detected formulas, will run a generic FOF schedule.
% 2.50/1.28  % (3577227)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3813702764:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.50/1.28  % (3577224)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=2424713805:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.50/1.28  % (3577223)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=2653568850:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.50/1.28  % (3577225)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=3681457217:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.50/1.28  % (3577226)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2504025058:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.50/1.28  % (3577229)dis-21_1_sil=8000:lcm=predicate:random_seed=593462544: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)
% 2.50/1.28  % (3577228)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3966728038:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.50/1.28  % (3577227)Instruction limit reached! 
% 2.50/1.28  % (3577227)------------------------------
% 2.50/1.28  % (3577227)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.50/1.28  % (3577227)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.50/1.28  % (3577227)CaDiCaL version: 2.1.3
% 2.50/1.28  % (3577227)Termination reason: Instruction limit
% 2.50/1.28  % (3577227)Termination phase: Saturation
% 2.50/1.28  % (3577227)Time elapsed: 0.044 s
% 2.50/1.28  % (3577227)Peak memory usage: 90 MB
% 2.50/1.28  % (3577227)Instructions burned: 120 (million)
% 2.50/1.28  % (3577228)First to succeed.
% 2.50/1.28  % (3577228)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3577218"
% 2.50/1.28  % (3577226)Instruction limit reached! 
% 2.50/1.28  % (3577226)------------------------------
% 2.50/1.28  % (3577226)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.50/1.28  % (3577226)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.50/1.28  % (3577226)CaDiCaL version: 2.1.3
% 2.50/1.28  % (3577226)Termination reason: Instruction limit
% 2.50/1.28  % (3577226)Termination phase: Saturation
% 2.50/1.28  % (3577226)Time elapsed: 0.070 s
% 2.50/1.28  % (3577226)Peak memory usage: 90 MB
% 2.50/1.28  % (3577226)Instructions burned: 110 (million)
% 2.50/1.28  % (3577229)Instruction limit reached! 
% 2.50/1.28  % (3577229)------------------------------
% 2.50/1.28  % (3577229)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.50/1.28  % (3577229)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.50/1.28  % (3577229)CaDiCaL version: 2.1.3
% 2.50/1.28  % (3577229)Termination reason: Instruction limit
% 2.50/1.28  % (3577229)Termination phase: Saturation
% 2.50/1.28  % (3577229)Time elapsed: 0.076 s
% 2.50/1.28  % (3577229)Peak memory usage: 90 MB
% 2.50/1.28  % (3577229)Instructions burned: 130 (million)
% 2.50/1.28  % (3577237)lrs+10_1_sil=8000:sp=occurrence:random_seed=401909075:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 2.50/1.28  % (3577239)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2094891205:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 2.50/1.28  % (3577238)lrs+10_1_sil=32000:urr=on:br=off:random_seed=866505776:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.50/1.28  % (3577237)Instruction limit reached! 
% 2.50/1.28  % (3577237)------------------------------
% 2.50/1.28  % (3577237)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.50/1.28  % (3577237)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.50/1.28  % (3577237)CaDiCaL version: 2.1.3
% 2.50/1.28  % (3577237)Termination reason: Instruction limit
% 2.50/1.28  % (3577237)Termination phase: Saturation
% 2.50/1.28  % (3577237)Time elapsed: 0.104 s
% 2.50/1.28  % (3577237)Peak memory usage: 94 MB
% 2.50/1.28  % (3577237)Instructions burned: 287 (million)
% 2.50/1.28  % (3577228)Refutation found. Thanks to Tanya!
% 2.50/1.28  % SZS status Theorem for theBenchmark
% 2.50/1.28  % SZS output start Proof for theBenchmark
% See solution above
% 3.65/1.47  % (3577228)------------------------------
% 3.65/1.47  % (3577228)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.65/1.47  % (3577228)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.65/1.47  % (3577228)CaDiCaL version: 2.1.3
% 3.65/1.47  % (3577228)Termination reason: Refutation
% 3.65/1.47  % (3577228)Time elapsed: 0.020 s
% 3.65/1.47  % (3577228)Peak memory usage: 90 MB
% 3.65/1.47  % (3577228)Instructions burned: 31 (million)
% 3.65/1.47  % (3577228)------------------------------
% 3.65/1.47  % (3577228)------------------------------
% 3.65/1.47  % (3577218)Success in time 0.441 s
% 3.65/1.47  % Vampire exiting
%------------------------------------------------------------------------------