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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SEU255+1 : 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 : n011.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 2.66s 1.27s
% Output   : Refutation 3.37s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   69 (  11 unt;   5 def)
%            Number of atoms       :  195 (  17 equ)
%            Maximal formula atoms :    9 (   2 avg)
%            Number of connectives :  219 (  93   ~;  86   |;  22   &)
%                                         (  10 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   6 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(f11,axiom,
    ! [X0,X1] :
      ( relation(X0)
     => relation(relation_restriction(X0,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_wellord1) ).

fof(f20,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(f26,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(f28,conjecture,
    ! [X0,X1] :
      ( relation(X1)
     => ( antisymmetric(X1)
       => antisymmetric(relation_restriction(X1,X0)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t25_wellord1) ).

fof(f29,negated_conjecture,
    ~ ! [X0,X1] :
        ( relation(X1)
       => ( antisymmetric(X1)
         => antisymmetric(relation_restriction(X1,X0)) ) ),
    inference(negated_conjecture,[status(cth)],[f28]) ).

fof(f43,plain,
    ! [X0,X1] :
      ( relation(relation_restriction(X0,X1))
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f11]) ).

fof(f44,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,[],[f20]) ).

fof(f45,plain,
    ! [X0] :
      ( ( antisymmetric(X0)
      <=> ! [X1,X2] :
            ( X1 = X2
            | ~ in(ordered_pair(X1,X2),X0)
            | ~ in(ordered_pair(X2,X1),X0) ) )
      | ~ relation(X0) ),
    inference(flattening,[],[f44]) ).

fof(f46,plain,
    ! [X0,X1,X2] :
      ( ( in(X0,relation_restriction(X2,X1))
      <=> ( in(X0,X2)
          & in(X0,cartesian_product2(X1,X1)) ) )
      | ~ relation(X2) ),
    inference(ennf_transformation,[],[f26]) ).

fof(f48,plain,
    ? [X0,X1] :
      ( ~ antisymmetric(relation_restriction(X1,X0))
      & antisymmetric(X1)
      & relation(X1) ),
    inference(ennf_transformation,[],[f29]) ).

fof(f49,plain,
    ? [X0,X1] :
      ( ~ antisymmetric(relation_restriction(X1,X0))
      & antisymmetric(X1)
      & relation(X1) ),
    inference(flattening,[],[f48]) ).

fof(f56,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,[],[f45]) ).

fof(f57,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,[],[f56]) ).

fof(f58,plain,
    ! [X0] :
      ( ( ( antisymmetric(X0)
          | ( sK1(X0) != sK2(X0)
            & in(ordered_pair(sK1(X0),sK2(X0)),X0)
            & in(ordered_pair(sK2(X0),sK1(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,[sK1,sK2]),skolemize(X1,sK1(X0)),skolemize(X2,sK2(X0))],[f57]) ).

fof(f64,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,[],[f46]) ).

fof(f65,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,[],[f64]) ).

fof(f66,plain,
    ( ~ antisymmetric(relation_restriction(sK9,sK8))
    & antisymmetric(sK9)
    & relation(sK9) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK8,sK9]),skolemize(X0,sK8),skolemize(X1,sK9)],[f49]) ).

fof(f75,plain,
    ! [X0,X1] :
      ( relation(relation_restriction(X0,X1))
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f43]) ).

fof(f80,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,[],[f58]) ).

fof(f81,plain,
    ! [X0] :
      ( antisymmetric(X0)
      | in(ordered_pair(sK2(X0),sK1(X0)),X0)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f58]) ).

fof(f82,plain,
    ! [X0] :
      ( antisymmetric(X0)
      | in(ordered_pair(sK1(X0),sK2(X0)),X0)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f58]) ).

fof(f83,plain,
    ! [X0] :
      ( sK1(X0) != sK2(X0)
      | antisymmetric(X0)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f58]) ).

fof(f94,plain,
    ! [X2,X0,X1] :
      ( ~ in(X0,relation_restriction(X2,X1))
      | in(X0,X2)
      | ~ relation(X2) ),
    inference(cnf_transformation,[],[f65]) ).

fof(f97,plain,
    relation(sK9),
    inference(cnf_transformation,[],[f66]) ).

fof(f98,plain,
    antisymmetric(sK9),
    inference(cnf_transformation,[],[f66]) ).

fof(f99,plain,
    ~ antisymmetric(relation_restriction(sK9,sK8)),
    inference(cnf_transformation,[],[f66]) ).

fof(f105,plain,
    ( in(ordered_pair(sK2(relation_restriction(sK9,sK8)),sK1(relation_restriction(sK9,sK8))),relation_restriction(sK9,sK8))
    | ~ relation(relation_restriction(sK9,sK8)) ),
    inference(resolution,[],[f81,f99]) ).

fof(f107,definition,
    ( spl10_1
  <=> relation(relation_restriction(sK9,sK8)) ),
    introduced(definition,[new_symbols(definition,[spl10_1])],[avatar_definition]) ).

fof(f108,plain,
    ( relation(relation_restriction(sK9,sK8))
    | ~ spl10_1 ),
    inference(avatar_component_clause,[],[f107]) ).

fof(f109,plain,
    ( ~ relation(relation_restriction(sK9,sK8))
    | spl10_1 ),
    inference(avatar_component_clause,[],[f107]) ).

fof(f111,definition,
    ( spl10_2
  <=> in(ordered_pair(sK2(relation_restriction(sK9,sK8)),sK1(relation_restriction(sK9,sK8))),relation_restriction(sK9,sK8)) ),
    introduced(definition,[new_symbols(definition,[spl10_2])],[avatar_definition]) ).

fof(f113,plain,
    ( in(ordered_pair(sK2(relation_restriction(sK9,sK8)),sK1(relation_restriction(sK9,sK8))),relation_restriction(sK9,sK8))
    | ~ spl10_2 ),
    inference(avatar_component_clause,[],[f111]) ).

fof(f114,plain,
    ( ~ spl10_1
    | spl10_2 ),
    inference(avatar_split_clause,[],[f105,f111,f107]) ).

fof(f115,plain,
    ( ~ relation(sK9)
    | spl10_1 ),
    inference(resolution,[],[f109,f75]) ).

fof(f116,plain,
    ( $false
    | spl10_1 ),
    inference(forward_subsumption_resolution,[],[f115,f97]) ).

fof(f117,plain,
    spl10_1,
    inference(avatar_contradiction_clause,[],[f116]) ).

fof(f118,plain,
    ( in(ordered_pair(sK1(relation_restriction(sK9,sK8)),sK2(relation_restriction(sK9,sK8))),relation_restriction(sK9,sK8))
    | ~ relation(relation_restriction(sK9,sK8)) ),
    inference(resolution,[],[f82,f99]) ).

fof(f120,definition,
    ( spl10_3
  <=> in(ordered_pair(sK1(relation_restriction(sK9,sK8)),sK2(relation_restriction(sK9,sK8))),relation_restriction(sK9,sK8)) ),
    introduced(definition,[new_symbols(definition,[spl10_3])],[avatar_definition]) ).

fof(f122,plain,
    ( in(ordered_pair(sK1(relation_restriction(sK9,sK8)),sK2(relation_restriction(sK9,sK8))),relation_restriction(sK9,sK8))
    | ~ spl10_3 ),
    inference(avatar_component_clause,[],[f120]) ).

fof(f123,plain,
    ( ~ spl10_1
    | spl10_3 ),
    inference(avatar_split_clause,[],[f118,f120,f107]) ).

fof(f124,plain,
    ( in(ordered_pair(sK2(relation_restriction(sK9,sK8)),sK1(relation_restriction(sK9,sK8))),sK9)
    | ~ relation(sK9)
    | ~ spl10_2 ),
    inference(resolution,[],[f113,f94]) ).

fof(f125,plain,
    ( in(ordered_pair(sK2(relation_restriction(sK9,sK8)),sK1(relation_restriction(sK9,sK8))),sK9)
    | ~ spl10_2 ),
    inference(forward_subsumption_resolution,[],[f124,f97]) ).

fof(f128,plain,
    ! [X0,X1] :
      ( ~ in(ordered_pair(X0,X1),sK9)
      | ~ in(ordered_pair(X1,X0),sK9)
      | X0 = X1
      | ~ relation(sK9) ),
    inference(resolution,[],[f80,f98]) ).

fof(f133,plain,
    ! [X0,X1] :
      ( ~ in(ordered_pair(X0,X1),sK9)
      | ~ in(ordered_pair(X1,X0),sK9)
      | X0 = X1 ),
    inference(forward_subsumption_resolution,[],[f128,f97]) ).

fof(f134,plain,
    ( in(ordered_pair(sK1(relation_restriction(sK9,sK8)),sK2(relation_restriction(sK9,sK8))),sK9)
    | ~ relation(sK9)
    | ~ spl10_3 ),
    inference(resolution,[],[f122,f94]) ).

fof(f135,plain,
    ( in(ordered_pair(sK1(relation_restriction(sK9,sK8)),sK2(relation_restriction(sK9,sK8))),sK9)
    | ~ spl10_3 ),
    inference(forward_subsumption_resolution,[],[f134,f97]) ).

fof(f136,plain,
    ( ~ in(ordered_pair(sK1(relation_restriction(sK9,sK8)),sK2(relation_restriction(sK9,sK8))),sK9)
    | sK2(relation_restriction(sK9,sK8)) = sK1(relation_restriction(sK9,sK8))
    | ~ spl10_2 ),
    inference(resolution,[],[f133,f125]) ).

fof(f139,definition,
    ( spl10_4
  <=> sK2(relation_restriction(sK9,sK8)) = sK1(relation_restriction(sK9,sK8)) ),
    introduced(definition,[new_symbols(definition,[spl10_4])],[avatar_definition]) ).

fof(f141,plain,
    ( sK2(relation_restriction(sK9,sK8)) = sK1(relation_restriction(sK9,sK8))
    | ~ spl10_4 ),
    inference(avatar_component_clause,[],[f139]) ).

fof(f143,definition,
    ( spl10_5
  <=> in(ordered_pair(sK1(relation_restriction(sK9,sK8)),sK2(relation_restriction(sK9,sK8))),sK9) ),
    introduced(definition,[new_symbols(definition,[spl10_5])],[avatar_definition]) ).

fof(f146,plain,
    ( spl10_4
    | ~ spl10_5
    | ~ spl10_2 ),
    inference(avatar_split_clause,[],[f136,f111,f143,f139]) ).

fof(f147,plain,
    ( spl10_5
    | ~ spl10_3 ),
    inference(avatar_split_clause,[],[f135,f120,f143]) ).

fof(f153,plain,
    ( sK1(relation_restriction(sK9,sK8)) != sK1(relation_restriction(sK9,sK8))
    | antisymmetric(relation_restriction(sK9,sK8))
    | ~ relation(relation_restriction(sK9,sK8))
    | ~ spl10_4 ),
    inference(superposition,[],[f83,f141]) ).

fof(f154,plain,
    ( antisymmetric(relation_restriction(sK9,sK8))
    | ~ relation(relation_restriction(sK9,sK8))
    | ~ spl10_4 ),
    inference(trivial_inequality_removal,[],[f153]) ).

fof(f155,plain,
    ( ~ relation(relation_restriction(sK9,sK8))
    | ~ spl10_4 ),
    inference(forward_subsumption_resolution,[],[f154,f99]) ).

fof(f156,plain,
    ( $false
    | ~ spl10_1
    | ~ spl10_4 ),
    inference(forward_subsumption_resolution,[],[f155,f108]) ).

fof(f157,plain,
    ( ~ spl10_1
    | ~ spl10_4 ),
    inference(avatar_contradiction_clause,[],[f156]) ).

cnf(s1,plain,
    ( ~ spl10_1
    | spl10_2 ),
    inference(sat_conversion,[],[f114]) ).

cnf(s2,plain,
    spl10_1,
    inference(sat_conversion,[],[f117]) ).

cnf(s3,plain,
    ( ~ spl10_1
    | spl10_3 ),
    inference(sat_conversion,[],[f123]) ).

cnf(s4,plain,
    ( ~ spl10_2
    | spl10_4
    | ~ spl10_5 ),
    inference(sat_conversion,[],[f146]) ).

cnf(s5,plain,
    ( ~ spl10_3
    | spl10_5 ),
    inference(sat_conversion,[],[f147]) ).

cnf(s6,plain,
    ( ~ spl10_1
    | ~ spl10_4 ),
    inference(sat_conversion,[],[f157]) ).

cnf(s7,plain,
    ~ spl10_4,
    inference(rat,[],[s6,s2]) ).

cnf(s8,plain,
    spl10_3,
    inference(rat,[],[s3,s2]) ).

cnf(s9,plain,
    spl10_5,
    inference(rat,[],[s5,s8]) ).

cnf(s10,plain,
    ~ spl10_2,
    inference(rat,[],[s4,s7,s9]) ).

cnf(s11,plain,
    $false,
    inference(rat,[],[s1,s10,s2]) ).

fof(f158,plain,
    $false,
    inference(avatar_sat_refutation,[],[s11]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SEU255+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.39  % Computer : n011.cluster.edu
% 0.12/0.39  % Model    : x86_64 x86_64
% 0.12/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39  % Memory   : 8046.5625MB
% 0.12/0.39  % OS       : Linux 6.8.0-71-generic
% 0.12/0.39  % CPULimit : 300
% 0.12/0.39  % WCLimit  : 300
% 0.12/0.39  % DateTime : Mon Sep 28 04:20:46 UTC 2026
% 0.12/0.39  % CPUTime  : 
% 0.12/0.39  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.43  Running first-order theorem proving
% 0.12/0.43  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
% 2.66/1.27  % (3012969)Detected formulas, will run a generic FOF schedule.
% 2.66/1.27  % (3012975)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=4199562279:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.66/1.27  % (3012979)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1950019003:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.66/1.27  % (3012978)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3249283982:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.66/1.27  % (3012977)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4011548178:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.66/1.27  % (3012980)dis-21_1_sil=8000:lcm=predicate:random_seed=2540669467: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)
% 2.66/1.27  % (3012974)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=1296298816:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.66/1.27  % (3012976)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=352833199:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.66/1.27  % (3012979)First to succeed.
% 2.66/1.27  % (3012979)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3012969"
% 2.66/1.27  % (3012977)Refutation not found, incomplete strategy
% 2.66/1.27  % (3012977)------------------------------
% 2.66/1.27  % (3012977)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.66/1.27  % (3012977)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.66/1.27  % (3012977)CaDiCaL version: 2.1.3
% 2.66/1.27  % (3012977)Termination reason: Refutation not found, incomplete strategy
% 2.66/1.27  % (3012977)Time elapsed: 0.001 s
% 2.66/1.27  % (3012977)Peak memory usage: 88 MB
% 2.66/1.27  % (3012978)Refutation not found, incomplete strategy
% 2.66/1.27  % (3012978)------------------------------
% 2.66/1.27  % (3012978)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.66/1.27  % (3012978)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.66/1.27  % (3012978)CaDiCaL version: 2.1.3
% 2.66/1.27  % (3012978)Termination reason: Refutation not found, incomplete strategy
% 2.66/1.27  % (3012978)Time elapsed: 0.002 s
% 2.66/1.27  % (3012978)Peak memory usage: 88 MB
% 2.66/1.27  % (3012978)Instructions burned: 1 (million)
% 2.66/1.27  % (3012980)Instruction limit reached! 
% 2.66/1.27  % (3012980)------------------------------
% 2.66/1.27  % (3012980)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.66/1.27  % (3012980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.66/1.27  % (3012980)CaDiCaL version: 2.1.3
% 2.66/1.27  % (3012980)Termination reason: Instruction limit
% 2.66/1.27  % (3012980)Termination phase: Saturation
% 2.66/1.27  % (3012980)Time elapsed: 0.058 s
% 2.66/1.27  % (3012980)Peak memory usage: 89 MB
% 2.66/1.27  % (3012980)Instructions burned: 131 (million)
% 2.66/1.27  % (3012988)lrs+10_1_sil=8000:sp=occurrence:random_seed=1893483499:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 2.66/1.27  % (3012988)Also succeeded, but the first one will report.
% 2.66/1.27  % (3012977)------------------------------
% 2.66/1.27  % (3012977)------------------------------
% 2.66/1.27  % (3012978)------------------------------
% 2.66/1.27  % (3012978)------------------------------
% 2.66/1.27  % (3012979)Refutation found. Thanks to Tanya!
% 2.66/1.27  % SZS status Theorem for theBenchmark
% 2.66/1.27  % SZS output start Proof for theBenchmark
% See solution above
% 3.37/1.37  % (3012979)------------------------------
% 3.37/1.37  % (3012979)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.37/1.37  % (3012979)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.37/1.37  % (3012979)CaDiCaL version: 2.1.3
% 3.37/1.37  % (3012979)Termination reason: Refutation
% 3.37/1.37  % (3012979)Time elapsed: 0.005 s
% 3.37/1.37  % (3012979)Peak memory usage: 89 MB
% 3.37/1.37  % (3012979)Instructions burned: 5 (million)
% 3.37/1.37  % (3012979)------------------------------
% 3.37/1.37  % (3012979)------------------------------
% 3.37/1.37  % (3012969)Success in time 0.407 s
% 3.37/1.37  % Vampire exiting
%------------------------------------------------------------------------------