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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : DAT025_1 : TPTP v9.3.1. Released v5.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n004.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 09:47:07 AM UTC 2026

% Result   : Theorem 0.19s 1.41s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   57 (  13 unt;   0 typ;  12 def)
%            Number of atoms       :  160 (  18 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  166 (  63   ~;  48   |;  29   &)
%                                         (  17 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number arithmetic     :  129 (  24 atm;   0 fun;  59 num;  46 var)
%            Number of types       :    3 (   1 usr;   1 ari;   0 dat;   0 cdt)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   15 (  11 usr;  11 prp; 0-2 aty)
%            Number of functors    :   10 (   7 usr;   8 con; 0-2 aty)
%            Number of variables   :   63 (  55   !;   8   ?;  63   :)

% Comments : 
%------------------------------------------------------------------------------
tff(type_def_5,type,
    collection: $tType ).

tff(func_def_0,type,
    empty: collection ).

tff(func_def_1,type,
    add: ( $int * collection ) > collection ).

tff(func_def_2,type,
    remove: ( $int * collection ) > collection ).

tff(func_def_8,type,
    sK0: collection ).

tff(func_def_9,type,
    sK1: $int ).

tff(func_def_10,type,
    sF2: collection ).

tff(func_def_11,type,
    sF3: collection ).

tff(pred_def_1,type,
    in: ( $int * collection ) > $o ).

tff(f3,axiom,
    ! [X1: collection,X0: $int] : ~ in(X0,remove(X0,X1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).

tff(f5,axiom,
    ! [X1: collection,X2: $int,X0: $int] :
      ( in(X0,remove(X2,X1))
    <=> ( ( X0 != X2 )
        & in(X0,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).

tff(f6,conjecture,
    ! [X0: collection] :
      ( ( ! [X1: $int] :
            ( in(X1,X0)
           => $greatereq(X1,0) )
        & ! [X2: $int] :
            ( in(X2,remove(0,remove(1,X0)))
          <=> in(X2,X0) ) )
     => ! [X3: $int] :
          ( in(X3,X0)
         => $greatereq(X3,2) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

tff(f7,negated_conjecture,
    ~ ! [X0: collection] :
        ( ( ! [X1: $int] :
              ( in(X1,X0)
             => $greatereq(X1,0) )
          & ! [X2: $int] :
              ( in(X2,remove(0,remove(1,X0)))
            <=> in(X2,X0) ) )
       => ! [X3: $int] :
            ( in(X3,X0)
           => $greatereq(X3,2) ) ),
    inference(negated_conjecture,[status(cth)],[f6]) ).

tff(f8,plain,
    ~ ! [X0: collection] :
        ( ( ! [X2: $int] :
              ( in(X2,remove(0,remove(1,X0)))
            <=> in(X2,X0) )
          & ! [X1: $int] :
              ( in(X1,X0)
             => ~ $less(X1,0) ) )
       => ! [X3: $int] :
            ( in(X3,X0)
           => ~ $less(X3,2) ) ),
    inference(theory_normalization,[],[f7]) ).

tff(f16,plain,
    ! [X0: $int,X1: $int] :
      ( $less(X1,X0)
      | $less(X0,X1)
      | ( X0 = X1 ) ),
    introduced(definition,[],[tha_order_totality]) ).

tff(f21,plain,
    ! [X1: $int,X2: $int,X0: collection] :
      ( in(X2,remove(X1,X0))
    <=> ( in(X2,X0)
        & ( X1 != X2 ) ) ),
    inference(rectify,[],[f5]) ).

tff(f24,plain,
    ! [X1: $int,X0: collection] : ~ in(X1,remove(X1,X0)),
    inference(rectify,[],[f3]) ).

tff(f25,plain,
    ? [X0: collection] :
      ( ? [X3: $int] :
          ( $less(X3,2)
          & in(X3,X0) )
      & ! [X2: $int] :
          ( in(X2,remove(0,remove(1,X0)))
        <=> in(X2,X0) )
      & ! [X1: $int] :
          ( ~ in(X1,X0)
          | ~ $less(X1,0) ) ),
    inference(ennf_transformation,[],[f8]) ).

tff(f26,plain,
    ? [X0: collection] :
      ( ! [X1: $int] :
          ( ~ in(X1,X0)
          | ~ $less(X1,0) )
      & ? [X3: $int] :
          ( $less(X3,2)
          & in(X3,X0) )
      & ! [X2: $int] :
          ( in(X2,remove(0,remove(1,X0)))
        <=> in(X2,X0) ) ),
    inference(flattening,[],[f25]) ).

tff(f27,plain,
    ? [X0: collection] :
      ( ! [X1: $int] :
          ( ~ in(X1,X0)
          | ~ $less(X1,0) )
      & ? [X3: $int] :
          ( $less(X3,2)
          & in(X3,X0) )
      & ! [X2: $int] :
          ( ( in(X2,remove(0,remove(1,X0)))
            | ~ in(X2,X0) )
          & ( in(X2,X0)
            | ~ in(X2,remove(0,remove(1,X0))) ) ) ),
    inference(nnf_transformation,[],[f26]) ).

tff(f28,plain,
    ? [X0: collection] :
      ( ! [X1: $int] :
          ( ~ in(X1,X0)
          | ~ $less(X1,0) )
      & ? [X2: $int] :
          ( $less(X2,2)
          & in(X2,X0) )
      & ! [X3: $int] :
          ( ( in(X3,remove(0,remove(1,X0)))
            | ~ in(X3,X0) )
          & ( in(X3,X0)
            | ~ in(X3,remove(0,remove(1,X0))) ) ) ),
    inference(rectify,[],[f27]) ).

tff(f29,plain,
    ( ! [X1: $int] :
        ( ~ in(X1,sK0)
        | ~ $less(X1,0) )
    & $less(sK1,2)
    & in(sK1,sK0)
    & ! [X3: $int] :
        ( ( in(X3,remove(0,remove(1,sK0)))
          | ~ in(X3,sK0) )
        & ( in(X3,sK0)
          | ~ in(X3,remove(0,remove(1,sK0))) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X2,sK1)],[f28]) ).

tff(f31,plain,
    ! [X0: $int,X1: collection] : ~ in(X0,remove(X0,X1)),
    inference(rectify,[],[f24]) ).

tff(f35,plain,
    ! [X1: $int,X2: $int,X0: collection] :
      ( ( in(X2,remove(X1,X0))
        | ~ in(X2,X0)
        | ( X1 = X2 ) )
      & ( ( in(X2,X0)
          & ( X1 != X2 ) )
        | ~ in(X2,remove(X1,X0)) ) ),
    inference(nnf_transformation,[],[f21]) ).

tff(f36,plain,
    ! [X1: $int,X2: $int,X0: collection] :
      ( ( in(X2,remove(X1,X0))
        | ~ in(X2,X0)
        | ( X1 = X2 ) )
      & ( ( in(X2,X0)
          & ( X1 != X2 ) )
        | ~ in(X2,remove(X1,X0)) ) ),
    inference(flattening,[],[f35]) ).

tff(f37,plain,
    ! [X0: $int,X1: $int,X2: collection] :
      ( ( in(X1,remove(X0,X2))
        | ~ in(X1,X2)
        | ( X0 = X1 ) )
      & ( ( in(X1,X2)
          & ( X0 != X1 ) )
        | ~ in(X1,remove(X0,X2)) ) ),
    inference(rectify,[],[f36]) ).

tff(f39,plain,
    ! [X3: $int] :
      ( in(X3,remove(0,remove(1,sK0)))
      | ~ in(X3,sK0) ),
    inference(cnf_transformation,[],[f29]) ).

tff(f40,plain,
    in(sK1,sK0),
    inference(cnf_transformation,[],[f29]) ).

tff(f41,plain,
    $less(sK1,2),
    inference(cnf_transformation,[],[f29]) ).

tff(f42,plain,
    ! [X1: $int] :
      ( ~ $less(X1,0)
      | ~ in(X1,sK0) ),
    inference(cnf_transformation,[],[f29]) ).

tff(f44,plain,
    ! [X0: $int,X1: collection] : ~ in(X0,remove(X0,X1)),
    inference(cnf_transformation,[],[f31]) ).

tff(f50,plain,
    ! [X2: collection,X0: $int,X1: $int] :
      ( ~ in(X1,remove(X0,X2))
      | in(X1,X2) ),
    inference(cnf_transformation,[],[f37]) ).

tff(f54,definition,
    sF2 = remove(1,sK0),
    introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).

tff(f55,definition,
    sF3 = remove(0,sF2),
    introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).

tff(f56,plain,
    ! [X3: $int] :
      ( ~ in(X3,sK0)
      | in(X3,sF3) ),
    inference(definition_folding,[],[f39,f55,f54]) ).

tff(f59,definition,
    ( spl4_1
  <=> ( sF3 = remove(0,sF2) ) ),
    introduced(definition,[new_symbols(definition,[spl4_1])],[avatar_definition]) ).

tff(f61,plain,
    ( ( sF3 = remove(0,sF2) )
    | ~ spl4_1 ),
    inference(avatar_component_clause,[],[f59]) ).

tff(f62,plain,
    spl4_1,
    inference(avatar_split_clause,[],[f55,f59]) ).

tff(f64,definition,
    ( spl4_2
  <=> ( sF2 = remove(1,sK0) ) ),
    introduced(definition,[new_symbols(definition,[spl4_2])],[avatar_definition]) ).

tff(f66,plain,
    ( ( sF2 = remove(1,sK0) )
    | ~ spl4_2 ),
    inference(avatar_component_clause,[],[f64]) ).

tff(f67,plain,
    spl4_2,
    inference(avatar_split_clause,[],[f54,f64]) ).

tff(f69,definition,
    ( spl4_3
  <=> in(sK1,sK0) ),
    introduced(definition,[new_symbols(definition,[spl4_3])],[avatar_definition]) ).

tff(f71,plain,
    ( in(sK1,sK0)
    | ~ spl4_3 ),
    inference(avatar_component_clause,[],[f69]) ).

tff(f72,plain,
    spl4_3,
    inference(avatar_split_clause,[],[f40,f69]) ).

tff(f74,definition,
    ( spl4_4
  <=> $less(sK1,2) ),
    introduced(definition,[new_symbols(definition,[spl4_4])],[avatar_definition]) ).

tff(f77,plain,
    spl4_4,
    inference(avatar_split_clause,[],[f41,f74]) ).

tff(f78,plain,
    ( in(sK1,sF3)
    | ~ spl4_3 ),
    inference(resolution,[],[f56,f71]) ).

tff(f80,definition,
    ( spl4_5
  <=> in(sK1,sF3) ),
    introduced(definition,[new_symbols(definition,[spl4_5])],[avatar_definition]) ).

tff(f82,plain,
    ( in(sK1,sF3)
    | ~ spl4_5 ),
    inference(avatar_component_clause,[],[f80]) ).

tff(f83,plain,
    ( spl4_5
    | ~ spl4_3 ),
    inference(avatar_split_clause,[],[f78,f69,f80]) ).

tff(f85,plain,
    ( ~ in(0,sF3)
    | ~ spl4_1 ),
    inference(superposition,[],[f44,f61]) ).

tff(f87,definition,
    ( spl4_6
  <=> in(0,sF3) ),
    introduced(definition,[new_symbols(definition,[spl4_6])],[avatar_definition]) ).

tff(f90,plain,
    ( ~ spl4_6
    | ~ spl4_1 ),
    inference(avatar_split_clause,[],[f85,f59,f87]) ).

tff(f91,plain,
    ( ~ in(1,sF2)
    | ~ spl4_2 ),
    inference(superposition,[],[f44,f66]) ).

tff(f93,definition,
    ( spl4_7
  <=> in(1,sF2) ),
    introduced(definition,[new_symbols(definition,[spl4_7])],[avatar_definition]) ).

tff(f96,plain,
    ( ~ spl4_7
    | ~ spl4_2 ),
    inference(avatar_split_clause,[],[f91,f64,f93]) ).

tff(f117,plain,
    ( ! [X0: $int] :
        ( ~ in(X0,sF3)
        | in(X0,sF2) )
    | ~ spl4_1 ),
    inference(superposition,[],[f50,f61]) ).

tff(f119,plain,
    ( in(sK1,sF2)
    | ~ spl4_1
    | ~ spl4_5 ),
    inference(resolution,[],[f117,f82]) ).

tff(f121,definition,
    ( spl4_8
  <=> in(sK1,sF2) ),
    introduced(definition,[new_symbols(definition,[spl4_8])],[avatar_definition]) ).

tff(f124,plain,
    ( spl4_8
    | ~ spl4_1
    | ~ spl4_5 ),
    inference(avatar_split_clause,[],[f119,f80,f59,f121]) ).

tff(f133,plain,
    ! [X0: $int] :
      ( ~ in(X0,sK0)
      | ( 0 = X0 )
      | $less(0,X0) ),
    inference(resolution,[],[f16,f42]) ).

tff(f150,plain,
    ( $less(0,sK1)
    | ( 0 = sK1 )
    | ~ spl4_3 ),
    inference(resolution,[],[f133,f71]) ).

tff(f152,definition,
    ( spl4_9
  <=> ( 0 = sK1 ) ),
    introduced(definition,[new_symbols(definition,[spl4_9])],[avatar_definition]) ).

tff(f156,definition,
    ( spl4_10
  <=> $less(0,sK1) ),
    introduced(definition,[new_symbols(definition,[spl4_10])],[avatar_definition]) ).

tff(f159,plain,
    ( spl4_9
    | spl4_10
    | ~ spl4_3 ),
    inference(avatar_split_clause,[],[f150,f69,f156,f152]) ).

tff(f160,plain,
    $false,
    inference(avatar_smt_refutation,[],[f159,f124,f96,f90,f83,f77,f72,f67,f62]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : DAT025_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.18  % Computer : n004.cluster.edu
% 0.07/0.18  % Model    : x86_64 x86_64
% 0.07/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18  % Memory   : 8046.5625MB
% 0.07/0.18  % OS       : Linux 6.8.0-71-generic
% 0.07/0.18  % CPULimit : 300
% 0.07/0.18  % WCLimit  : 300
% 0.07/0.18  % DateTime : Tue Sep 29 00:05:37 UTC 2026
% 0.07/0.19  % CPUTime  : 
% 0.07/0.19  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.22  Running first-order theorem proving
% 0.07/0.22  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
% 2.99/1.20  % (912176)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 2.99/1.20  % (912200)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=2507901085:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 2.99/1.20  % (912202)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=1654594046:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 2.99/1.20  % (912200)Instruction limit reached! 
% 2.99/1.20  % (912200)------------------------------
% 2.99/1.20  % (912200)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.99/1.20  % (912200)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.99/1.20  % (912200)CaDiCaL version: 2.1.3
% 2.99/1.20  % (912200)Termination reason: Instruction limit
% 2.99/1.20  % (912200)Termination phase: Saturation
% 2.99/1.20  % (912200)Time elapsed: 0.024 s
% 2.99/1.20  % (912200)Peak memory usage: 115 MB
% 2.99/1.20  % (912200)Instructions burned: 12 (million)
% 2.99/1.20  % (912203)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=751677647:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 2.99/1.20  % (912203)Instruction limit reached! 
% 2.99/1.20  % (912203)------------------------------
% 2.99/1.20  % (912203)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.99/1.20  % (912203)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.99/1.20  % (912203)CaDiCaL version: 2.1.3
% 2.99/1.20  % (912203)Termination reason: Instruction limit
% 2.99/1.20  % (912203)Termination phase: Saturation
% 2.99/1.20  % (912203)Time elapsed: 0.009 s
% 2.99/1.20  % (912203)Peak memory usage: 89 MB
% 2.99/1.20  % (912203)Instructions burned: 7 (million)
% 2.99/1.20  % (912206)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=2624688689:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 2.99/1.20  % (912201)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=2741344987:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 2.99/1.20  % (912205)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=3192674720:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 2.99/1.20  % (912204)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=3702070263:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 2.99/1.20  % (912204)Instruction limit reached! 
% 2.99/1.20  % (912204)------------------------------
% 2.99/1.20  % (912204)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.99/1.20  % (912204)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.99/1.20  % (912204)CaDiCaL version: 2.1.3
% 2.99/1.20  % (912204)Termination reason: Instruction limit
% 2.99/1.20  % (912204)Termination phase: Saturation
% 2.99/1.20  % (912204)Time elapsed: 0.006 s
% 2.99/1.20  % (912204)Peak memory usage: 89 MB
% 2.99/1.20  % (912204)Instructions burned: 4 (million)
% 2.99/1.20  % (912205)Refutation not found, incomplete strategy
% 2.99/1.20  % (912205)------------------------------
% 2.99/1.20  % (912205)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.99/1.20  % (912205)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.99/1.20  % (912205)CaDiCaL version: 2.1.3
% 2.99/1.20  % (912205)Termination reason: Refutation not found, incomplete strategy
% 2.99/1.20  % (912205)Time elapsed: 0.039 s
% 2.99/1.20  % (912205)Peak memory usage: 116 MB
% 2.99/1.20  % (912205)Instructions burned: 8 (million)
% 2.99/1.20  % (912201)Refutation not found, incomplete strategy
% 2.99/1.20  % (912201)------------------------------
% 2.99/1.20  % (912201)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.99/1.20  % (912201)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.99/1.20  % (912201)CaDiCaL version: 2.1.3
% 2.99/1.20  % (912201)Termination reason: Refutation not found, incomplete strategy
% 2.99/1.20  % (912201)Time elapsed: 0.042 s
% 2.99/1.20  % (912201)Peak memory usage: 116 MB
% 2.99/1.20  % (912201)Instructions burned: 11 (million)
% 2.99/1.20  % (912206)First to succeed.
% 2.99/1.20  % (912206)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-912176"
% 2.99/1.20  % (912213)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=370140800:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 2.99/1.20  % (912213)Refutation not found, incomplete strategy
% 0.19/1.41  % (912213)------------------------------
% 0.19/1.41  % (912213)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.41  % (912213)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.41  % (912213)CaDiCaL version: 2.1.3
% 0.19/1.41  % (912213)Termination reason: Refutation not found, incomplete strategy
% 0.19/1.41  % (912213)Time elapsed: 0.002 s
% 0.19/1.41  % (912213)Peak memory usage: 89 MB
% 0.19/1.41  % (912213)Instructions burned: 1 (million)
% 0.19/1.41  % (912202)Instruction limit reached! 
% 0.19/1.41  % (912202)------------------------------
% 0.19/1.41  % (912202)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.41  % (912202)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.41  % (912202)CaDiCaL version: 2.1.3
% 0.19/1.41  % (912202)Termination reason: Instruction limit
% 0.19/1.41  % (912202)Termination phase: Saturation
% 0.19/1.41  % (912202)Time elapsed: 0.160 s
% 0.19/1.41  % (912202)Peak memory usage: 117 MB
% 0.19/1.41  % (912202)Instructions burned: 201 (million)
% 0.19/1.41  % (912221)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=1222526282:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/16Mi)
% 0.19/1.41  % (912221)Refutation not found, incomplete strategy
% 0.19/1.41  % (912221)------------------------------
% 0.19/1.41  % (912221)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.41  % (912221)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.41  % (912221)CaDiCaL version: 2.1.3
% 0.19/1.41  % (912221)Termination reason: Refutation not found, incomplete strategy
% 0.19/1.41  % (912221)Time elapsed: 0.004 s
% 0.19/1.41  % (912221)Peak memory usage: 90 MB
% 0.19/1.41  % (912221)Instructions burned: 10 (million)
% 0.19/1.41  % (912216)dis+1011_2:1_to=kbo:sil=128000:tgt=full:fde=none:si=on:norm_ineq=on:spb=goal_then_units:tha=some:nwc=2:sac=on:random_seed=3080677960:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2997 on theBenchmark for (2997ds/29Mi)
% 0.19/1.41  % (912216)Instruction limit reached! 
% 0.19/1.41  % (912216)------------------------------
% 0.19/1.41  % (912216)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.41  % (912216)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.41  % (912216)CaDiCaL version: 2.1.3
% 0.19/1.41  % (912216)Termination reason: Instruction limit
% 0.19/1.41  % (912216)Termination phase: Saturation
% 0.19/1.41  % (912216)Time elapsed: 0.021 s
% 0.19/1.41  % (912216)Peak memory usage: 88 MB
% 0.19/1.41  % (912216)Instructions burned: 30 (million)
% 0.19/1.41  % (912226)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=2260140639:i=24:canc=force:rtra=on_2996 on theBenchmark for (2996ds/24Mi)
% 0.19/1.41  % (912226)Also succeeded, but the first one will report.
% 0.19/1.41  % (912221)------------------------------
% 0.19/1.41  % (912221)------------------------------
% 0.19/1.41  % (912205)------------------------------
% 0.19/1.41  % (912205)------------------------------
% 0.19/1.41  % (912206)Refutation found. Thanks to Tanya!
% 0.19/1.41  % SZS status Theorem for theBenchmark
% 0.19/1.41  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/1.41  % (912206)------------------------------
% 0.19/1.41  % (912206)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.41  % (912206)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.41  % (912206)CaDiCaL version: 2.1.3
% 0.19/1.41  % (912206)Termination reason: Refutation
% 0.19/1.41  % (912206)Time elapsed: 0.049 s
% 0.19/1.41  % (912206)Peak memory usage: 116 MB
% 0.19/1.41  % (912206)Instructions burned: 17 (million)
% 0.19/1.41  % (912206)------------------------------
% 0.19/1.41  % (912206)------------------------------
% 0.19/1.41  % (912176)Success in time 0.523 s
% 0.19/1.41  % Vampire exiting
%------------------------------------------------------------------------------