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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : ANA140_1 : TPTP v9.3.1. Released v8.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n009.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 09:31:12 AM UTC 2026

% Result   : Theorem 10.46s 2.45s
% Output   : Refutation 10.46s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   38 (   6 unt;   0 typ;   2 def)
%            Number of atoms       :  148 (  18 equ)
%            Maximal formula atoms :   11 (   3 avg)
%            Number of connectives :  192 (  82   ~;  60   |;  30   &)
%                                         (   2 <=>;  18  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number arithmetic     :  369 (  95 atm; 182 fun;  64 num;  28 var)
%            Number of types       :    1 (   0 usr;   1 ari;   0 dat;   0 cdt)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    6 (   2 usr;   3 prp; 0-2 aty)
%            Number of functors    :    8 (   3 usr;   3 con; 0-2 aty)
%            Number of variables   :   28 (   0 sgn  21   !;   7   ?;  28   :)

% Comments : 
%------------------------------------------------------------------------------
tff(func_def_0,type,
    a: $real ).

tff(func_def_6,type,
    sK0: $real ).

tff(func_def_7,type,
    sK1: $real > $real ).

tff(func_def_11,type,
    -1/1: $real > $real ).

tff(f1,conjecture,
    ! [X0: $real] :
      ( $less(0/1,X0)
     => ? [X1: $real] :
          ( ! [X2: $real] :
              ( ( ( X2 != a )
                & ( ~ $greatereq($difference(X2,a),0/1)
                 => $less($uminus($difference(X2,a)),X1) )
                & ( $greatereq($difference(X2,a),0/1)
                 => $less($difference(X2,a),X1) ) )
             => ( ( $greatereq($difference(X2,a),0/1)
                 => $less($difference(X2,a),X0) )
                & ( ~ $greatereq($difference(X2,a),0/1)
                 => $less($uminus($difference(X2,a)),X0) ) ) )
          & $less(0/1,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_1) ).

tff(f2,negated_conjecture,
    ~ ! [X0: $real] :
        ( $less(0/1,X0)
       => ? [X1: $real] :
            ( ! [X2: $real] :
                ( ( ( X2 != a )
                  & ( ~ $greatereq($difference(X2,a),0/1)
                   => $less($uminus($difference(X2,a)),X1) )
                  & ( $greatereq($difference(X2,a),0/1)
                   => $less($difference(X2,a),X1) ) )
               => ( ( $greatereq($difference(X2,a),0/1)
                   => $less($difference(X2,a),X0) )
                  & ( ~ $greatereq($difference(X2,a),0/1)
                   => $less($uminus($difference(X2,a)),X0) ) ) )
            & $less(0/1,X1) ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

tff(f3,plain,
    ~ ! [X0: $real] :
        ( $less(0/1,X0)
       => ? [X1: $real] :
            ( ! [X2: $real] :
                ( ( ( ~ $less($sum(X2,$uminus(a)),0/1)
                   => $less($sum(X2,$uminus(a)),X1) )
                  & ( X2 != a )
                  & ( $less($sum(X2,$uminus(a)),0/1)
                   => $less($uminus($sum(X2,$uminus(a))),X1) ) )
               => ( ( ~ $less($sum(X2,$uminus(a)),0/1)
                   => $less($sum(X2,$uminus(a)),X0) )
                  & ( $less($sum(X2,$uminus(a)),0/1)
                   => $less($uminus($sum(X2,$uminus(a))),X0) ) ) )
            & $less(0/1,X1) ) ),
    inference(theory_normalization,[],[f2]) ).

tff(f15,plain,
    ? [X0: $real] :
      ( ! [X1: $real] :
          ( ? [X2: $real] :
              ( ( ( ~ $less($sum(X2,$uminus(a)),0/1)
                  & ~ $less($sum(X2,$uminus(a)),X0) )
                | ( $less($sum(X2,$uminus(a)),0/1)
                  & ~ $less($uminus($sum(X2,$uminus(a))),X0) ) )
              & ( $less($sum(X2,$uminus(a)),X1)
                | $less($sum(X2,$uminus(a)),0/1) )
              & ( X2 != a )
              & ( ~ $less($sum(X2,$uminus(a)),0/1)
                | $less($uminus($sum(X2,$uminus(a))),X1) ) )
          | ~ $less(0/1,X1) )
      & $less(0/1,X0) ),
    inference(ennf_transformation,[],[f3]) ).

tff(f16,plain,
    ? [X0: $real] :
      ( $less(0/1,X0)
      & ! [X1: $real] :
          ( ~ $less(0/1,X1)
          | ? [X2: $real] :
              ( ( ( ~ $less($sum(X2,$uminus(a)),0/1)
                  & ~ $less($sum(X2,$uminus(a)),X0) )
                | ( $less($sum(X2,$uminus(a)),0/1)
                  & ~ $less($uminus($sum(X2,$uminus(a))),X0) ) )
              & ( ~ $less($sum(X2,$uminus(a)),0/1)
                | $less($uminus($sum(X2,$uminus(a))),X1) )
              & ( X2 != a )
              & ( $less($sum(X2,$uminus(a)),X1)
                | $less($sum(X2,$uminus(a)),0/1) ) ) ) ),
    inference(flattening,[],[f15]) ).

tff(f17,plain,
    ( $less(0/1,sK0)
    & ! [X1: $real] :
        ( ~ $less(0/1,X1)
        | ( ( ( ~ $less($sum(sK1(X1),$uminus(a)),0/1)
              & ~ $less($sum(sK1(X1),$uminus(a)),sK0) )
            | ( $less($sum(sK1(X1),$uminus(a)),0/1)
              & ~ $less($uminus($sum(sK1(X1),$uminus(a))),sK0) ) )
          & ( ~ $less($sum(sK1(X1),$uminus(a)),0/1)
            | $less($uminus($sum(sK1(X1),$uminus(a))),X1) )
          & ( a != sK1(X1) )
          & ( $less($sum(sK1(X1),$uminus(a)),X1)
            | $less($sum(sK1(X1),$uminus(a)),0/1) ) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X2,sK1(X1))],[f16]) ).

tff(f18,plain,
    ! [X1: $real] :
      ( ~ $less(0/1,X1)
      | $less($sum(sK1(X1),$uminus(a)),X1)
      | $less($sum(sK1(X1),$uminus(a)),0/1) ),
    inference(cnf_transformation,[],[f17]) ).

tff(f20,plain,
    ! [X1: $real] :
      ( $less($uminus($sum(sK1(X1),$uminus(a))),X1)
      | ~ $less($sum(sK1(X1),$uminus(a)),0/1)
      | ~ $less(0/1,X1) ),
    inference(cnf_transformation,[],[f17]) ).

tff(f22,plain,
    ! [X1: $real] :
      ( ~ $less($sum(sK1(X1),$uminus(a)),sK0)
      | ~ $less(0/1,X1)
      | $less($sum(sK1(X1),$uminus(a)),0/1) ),
    inference(cnf_transformation,[],[f17]) ).

tff(f23,plain,
    ! [X1: $real] :
      ( ~ $less($uminus($sum(sK1(X1),$uminus(a))),sK0)
      | ~ $less($sum(sK1(X1),$uminus(a)),0/1)
      | ~ $less(0/1,X1) ),
    inference(cnf_transformation,[],[f17]) ).

tff(f25,plain,
    $less(0/1,sK0),
    inference(cnf_transformation,[],[f17]) ).

tff(f27,plain,
    ( $less($sum(sK1(sK0),$uminus(a)),sK0)
    | $less($sum(sK1(sK0),$uminus(a)),0/1) ),
    inference(resolution,[],[f18,f25]) ).

tff(f29,definition,
    ( spl2_1
  <=> $less($sum(sK1(sK0),$uminus(a)),sK0) ),
    introduced(definition,[new_symbols(definition,[spl2_1])],[avatar_definition]) ).

tff(f31,plain,
    ( $less($sum(sK1(sK0),$uminus(a)),sK0)
    | ~ spl2_1 ),
    inference(avatar_component_clause,[],[f29]) ).

tff(f33,definition,
    ( spl2_2
  <=> $less($sum(sK1(sK0),$uminus(a)),0/1) ),
    introduced(definition,[new_symbols(definition,[spl2_2])],[avatar_definition]) ).

tff(f34,plain,
    ( ~ $less($sum(sK1(sK0),$uminus(a)),0/1)
    | spl2_2 ),
    inference(avatar_component_clause,[],[f33]) ).

tff(f35,plain,
    ( $less($sum(sK1(sK0),$uminus(a)),0/1)
    | ~ spl2_2 ),
    inference(avatar_component_clause,[],[f33]) ).

tff(f36,plain,
    ( spl2_1
    | spl2_2 ),
    inference(avatar_split_clause,[],[f27,f33,f29]) ).

tff(f40,plain,
    ! [X0: $real] :
      ( ~ $less(0/1,X0)
      | ~ $less(0/1,sK0)
      | ( $sum(sK1(sK0),$uminus(a)) != $sum(sK1(X0),$uminus(a)) )
      | ~ $less($sum(sK1(sK0),$uminus(a)),0/1)
      | ~ $less($sum(sK1(X0),$uminus(a)),0/1) ),
    inference(constrained_resolution,[],[f23,f20]) ).

tff(f41,plain,
    ( ! [X0: $real] :
        ( ~ $less(0/1,X0)
        | ~ $less($sum(sK1(X0),$uminus(a)),0/1)
        | ~ $less(0/1,sK0)
        | ( $sum(sK1(sK0),$uminus(a)) != $sum(sK1(X0),$uminus(a)) ) )
    | ~ spl2_2 ),
    inference(forward_subsumption_resolution,[],[f40,f35]) ).

tff(f42,plain,
    ( ! [X0: $real] :
        ( ~ $less($sum(sK1(X0),$uminus(a)),0/1)
        | ( $sum(sK1(sK0),$uminus(a)) != $sum(sK1(X0),$uminus(a)) )
        | ~ $less(0/1,X0) )
    | ~ spl2_2 ),
    inference(forward_subsumption_resolution,[],[f41,f25]) ).

tff(f43,plain,
    ( ! [X0: $real] :
        ( ( $sum(sK1(sK0),$uminus(a)) != $sum(sK1(X0),$uminus(a)) )
        | ~ $less(0/1,X0)
        | ( $sum(sK1(sK0),$uminus(a)) != $sum(sK1(X0),$uminus(a)) ) )
    | ~ spl2_2 ),
    inference(constrained_resolution,[],[f42,f35]) ).

tff(f44,plain,
    ( ! [X0: $real] :
        ( ~ $less(0/1,X0)
        | ( $sum(sK1(sK0),$uminus(a)) != $sum(sK1(X0),$uminus(a)) ) )
    | ~ spl2_2 ),
    inference(duplicate_literal_removal,[],[f43]) ).

tff(f45,plain,
    ( ( $sum(sK1(sK0),$uminus(a)) != $sum(sK1(sK0),$uminus(a)) )
    | ~ spl2_2 ),
    inference(resolution,[],[f44,f25]) ).

tff(f46,plain,
    ( $false
    | ~ spl2_2 ),
    inference(trivial_inequality_removal,[],[f45]) ).

tff(f47,plain,
    ~ spl2_2,
    inference(avatar_contradiction_clause,[],[f46]) ).

tff(f58,plain,
    ( ! [X0: $real] :
        ( $less($sum(sK1(X0),$uminus(a)),0/1)
        | ( $sum(sK1(sK0),$uminus(a)) != $sum(sK1(X0),$uminus(a)) )
        | ~ $less(0/1,X0) )
    | ~ spl2_1 ),
    inference(constrained_resolution,[],[f31,f22]) ).

tff(f59,plain,
    ( ! [X0: $real] :
        ( ( $sum(sK1(sK0),$uminus(a)) != $sum(sK1(X0),$uminus(a)) )
        | ~ $less(0/1,X0)
        | ( $sum(sK1(sK0),$uminus(a)) != $sum(sK1(X0),$uminus(a)) ) )
    | ~ spl2_1
    | spl2_2 ),
    inference(constrained_resolution,[],[f58,f34]) ).

tff(f60,plain,
    ( ! [X0: $real] :
        ( ~ $less(0/1,X0)
        | ( $sum(sK1(sK0),$uminus(a)) != $sum(sK1(X0),$uminus(a)) ) )
    | ~ spl2_1
    | spl2_2 ),
    inference(duplicate_literal_removal,[],[f59]) ).

tff(f61,plain,
    ( ( $sum(sK1(sK0),$uminus(a)) != $sum(sK1(sK0),$uminus(a)) )
    | ~ spl2_1
    | spl2_2 ),
    inference(resolution,[],[f60,f25]) ).

tff(f62,plain,
    ( $false
    | ~ spl2_1
    | spl2_2 ),
    inference(trivial_inequality_removal,[],[f61]) ).

tff(f63,plain,
    ( ~ spl2_1
    | spl2_2 ),
    inference(avatar_contradiction_clause,[],[f62]) ).

cnf(s1,plain,
    ( spl2_1
    | spl2_2 ),
    inference(sat_conversion,[],[f36]) ).

cnf(s2,plain,
    ~ spl2_2,
    inference(sat_conversion,[],[f47]) ).

cnf(s5,plain,
    ( ~ spl2_1
    | spl2_2 ),
    inference(sat_conversion,[],[f63]) ).

cnf(s6,plain,
    ~ spl2_1,
    inference(rat,[],[s5,s2]) ).

cnf(s7,plain,
    $false,
    inference(rat,[],[s1,s2,s6]) ).

tff(f64,plain,
    $false,
    inference(avatar_sat_refutation,[],[s7]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : ANA140_1 : TPTP v9.3.1. Released v8.2.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.23  % Computer : n009.cluster.edu
% 0.08/0.23  % Model    : x86_64 x86_64
% 0.08/0.23  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.23  % Memory   : 8046.5625MB
% 0.08/0.23  % OS       : Linux 6.8.0-71-generic
% 0.08/0.24  % CPULimit : 300
% 0.08/0.24  % WCLimit  : 300
% 0.08/0.24  % DateTime : Mon Sep 28 20:39:00 UTC 2026
% 0.08/0.24  % CPUTime  : 
% 0.08/0.24  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.28  Running first-order theorem proving
% 0.08/0.28  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
% 9.71/2.25  % (3428137)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 9.71/2.25  % (3428145)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=3788710792:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 9.71/2.25  % (3428145)Instruction limit reached! 
% 9.71/2.25  % (3428145)------------------------------
% 9.71/2.25  % (3428145)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.71/2.25  % (3428145)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.71/2.25  % (3428145)CaDiCaL version: 2.1.3
% 9.71/2.25  % (3428145)Termination reason: Instruction limit
% 9.71/2.25  % (3428145)Termination phase: Saturation
% 9.71/2.25  % (3428145)Time elapsed: 0.031 s
% 9.71/2.25  % (3428145)Peak memory usage: 115 MB
% 9.71/2.25  % (3428145)Instructions burned: 13 (million)
% 9.71/2.25  % (3428150)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=2327329029:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 9.71/2.25  % (3428151)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=3812989628:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 9.71/2.25  % (3428147)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=2645157528:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 9.71/2.25  % (3428149)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=3146214789:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 9.71/2.25  % (3428152)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=2446485086:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 9.71/2.25  % (3428146)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=358220067:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 9.71/2.25  % (3428150)First to succeed.
% 9.71/2.25  % (3428149)Instruction limit reached! 
% 9.71/2.25  % (3428149)------------------------------
% 9.71/2.25  % (3428149)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.71/2.25  % (3428149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.71/2.25  % (3428149)CaDiCaL version: 2.1.3
% 9.71/2.25  % (3428149)Termination reason: Instruction limit
% 9.71/2.25  % (3428149)Termination phase: Saturation
% 9.71/2.25  % (3428149)Time elapsed: 0.010 s
% 9.71/2.25  % (3428149)Peak memory usage: 88 MB
% 9.71/2.25  % (3428149)Instructions burned: 7 (million)
% 9.71/2.25  % (3428151)Also succeeded, but the first one will report.
% 9.71/2.25  % (3428146)Also succeeded, but the first one will report.
% 9.71/2.25  % (3428147)Also succeeded, but the first one will report.
% 9.71/2.25  % (3428152)Also succeeded, but the first one will report.
% 9.71/2.25  % (3428150)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3428137"
% 9.71/2.25  % (3428154)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=632227677:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 9.71/2.25  % (3428154)Also succeeded, but the first one will report.
% 9.71/2.25  % (3428161)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=1890725432:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2997 on theBenchmark for (2997ds/29Mi)
% 9.71/2.25  % (3428161)Also succeeded, but the first one will report.
% 9.71/2.25  % (3428164)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=4283943587:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2993 on theBenchmark for (2993ds/16Mi)
% 9.71/2.25  % (3428165)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=3046074671:i=24:canc=force:rtra=on_2992 on theBenchmark for (2992ds/24Mi)
% 9.71/2.25  % (3428165)Also succeeded, but the first one will report.
% 9.71/2.25  % (3428164)Instruction limit reached! 
% 9.71/2.25  % (3428164)------------------------------
% 9.71/2.25  % (3428164)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.71/2.25  % (3428164)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.71/2.25  % (3428164)CaDiCaL version: 2.1.3
% 9.71/2.25  % (3428164)Termination reason: Instruction limit
% 9.71/2.25  % (3428164)Termination phase: Saturation
% 9.71/2.25  % (3428164)Time elapsed: 0.016 s
% 9.71/2.25  % (3428164)Peak memory usage: 90 MB
% 9.71/2.25  % (3428164)Instructions burned: 17 (million)
% 9.71/2.25  % (3428166)ott+1010_8_to=lpo:sil=128000:si=on:norm_ineq=on:sp=unary_frequency:sos=on:gve=cautious:spb=goal_then_units:uwa=alasca_main_floor:tha=some:random_seed=2212044272:i=27:canc=cautious:fsr=off:rtra=on_2992 on theBenchmark for (2992ds/27Mi)
% 9.71/2.25  % (3428166)Instruction limit reached! 
% 9.71/2.25  % (3428166)------------------------------
% 9.71/2.25  % (3428166)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.71/2.25  % (3428166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.71/2.25  % (3428166)CaDiCaL version: 2.1.3
% 9.71/2.25  % (3428166)Termination reason: Instruction limit
% 9.71/2.25  % (3428166)Termination phase: Saturation
% 9.71/2.25  % (3428166)Time elapsed: 0.028 s
% 9.71/2.25  % (3428166)Peak memory usage: 89 MB
% 9.71/2.25  % (3428166)Instructions burned: 27 (million)
% 9.71/2.25  % (3428167)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=2028876602:i=85:gtgl=4:rtra=on:gtg=exists_sym_2992 on theBenchmark for (2992ds/85Mi)
% 9.71/2.25  % (3428168)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=621454284:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_2992 on theBenchmark for (2992ds/2Mi)
% 9.71/2.25  % (3428167)Also succeeded, but the first one will report.
% 9.71/2.25  % (3428168)Instruction limit reached! 
% 9.71/2.25  % (3428168)------------------------------
% 9.71/2.25  % (3428168)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.71/2.25  % (3428168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.71/2.25  % (3428168)CaDiCaL version: 2.1.3
% 9.71/2.25  % (3428168)Termination reason: Instruction limit
% 9.71/2.25  % (3428168)Termination phase: Saturation
% 9.71/2.25  % (3428168)Time elapsed: 0.004 s
% 9.71/2.25  % (3428168)Peak memory usage: 88 MB
% 9.71/2.25  % (3428168)Instructions burned: 2 (million)
% 9.71/2.25  % (3428173)lrs+10_2_to=lpo:sil=64000:si=on:sos=on:gve=force:lcm=reverse:uwa=one_side_interpreted:random_seed=2593057333:i=4:ep=RST:ins=2:rtra=on_2990 on theBenchmark for (2990ds/4Mi)
% 9.71/2.25  % (3428173)Instruction limit reached! 
% 9.71/2.25  % (3428173)------------------------------
% 9.71/2.25  % (3428173)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.71/2.25  % (3428173)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.71/2.25  % (3428173)CaDiCaL version: 2.1.3
% 9.71/2.25  % (3428173)Termination reason: Instruction limit
% 9.71/2.25  % (3428173)Termination phase: Saturation
% 9.71/2.25  % (3428173)Time elapsed: 0.005 s
% 9.71/2.25  % (3428173)Peak memory usage: 89 MB
% 9.71/2.25  % (3428173)Instructions burned: 5 (million)
% 9.71/2.25  % (3428172)dis+1010_1_to=kbo:sil=128000:tgt=full:si=on:tha=off:random_seed=4144211106:i=181:rtra=on:ss=axioms:ev=cautious_2990 on theBenchmark for (2990ds/181Mi)
% 9.71/2.25  % (3428172)Also succeeded, but the first one will report.
% 9.71/2.25  % (3428176)dis+1010_128_isp=bottom:to=lpo:thi=overlap:prc=on:sas=z3:si=on:fd=preordered:random_seed=1900597516:i=66:thsqd=64:thsqc=16:rtra=on:thsq=on:ev=force_2990 on theBenchmark for (2990ds/66Mi)
% 9.71/2.25  % (3428177)lrs+10_1_thi=all:si=on:fd=off:random_seed=354549941:i=53:rtra=on:gtg=all_2990 on theBenchmark for (2990ds/53Mi)
% 9.71/2.25  % (3428177)Also succeeded, but the first one will report.
% 9.71/2.25  % (3428176)Also succeeded, but the first one will report.
% 9.71/2.25  % (3428179)ott+1011_1_to=kbo:plsq=on:drc=off:si=on:plsqr=32,1:sp=const_frequency:sos=all:uwa=one_side_interpreted:sac=on:random_seed=574808787:i=8:ep=RST:nm=16:rtra=on:gtg=exists_top_2988 on theBenchmark for (2988ds/8Mi)
% 9.71/2.25  % (3428179)Instruction limit reached! 
% 9.71/2.25  % (3428179)------------------------------
% 9.71/2.25  % (3428179)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.71/2.25  % (3428179)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.71/2.25  % (3428179)CaDiCaL version: 2.1.3
% 9.71/2.25  % (3428179)Termination reason: Instruction limit
% 9.71/2.25  % (3428179)Termination phase: Saturation
% 9.71/2.25  % (3428179)Time elapsed: 0.011 s
% 9.71/2.25  % (3428179)Peak memory usage: 88 MB
% 9.71/2.25  % (3428179)Instructions burned: 8 (million)
% 9.71/2.25  % (3428181)lrs+10_1_to=lakbo:sil=128000:si=on:alasca=on:sp=occurrence:random_seed=2520430621:st=3:i=2:rtra=on:ss=axioms_2988 on theBenchmark for (2988ds/2Mi)
% 9.71/2.25  % (3428181)Instruction limit reached! 
% 9.71/2.25  % (3428181)------------------------------
% 9.71/2.25  % (3428181)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.71/2.25  % (3428181)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.46/2.45  % (3428181)CaDiCaL version: 2.1.3
% 10.46/2.45  % (3428181)Termination reason: Instruction limit
% 10.46/2.45  % (3428181)Termination phase: Saturation
% 10.46/2.45  % (3428181)Time elapsed: 0.004 s
% 10.46/2.45  % (3428181)Peak memory usage: 88 MB
% 10.46/2.45  % (3428181)Instructions burned: 3 (million)
% 10.46/2.45  % (3428150)Refutation found. Thanks to Tanya!
% 10.46/2.45  % SZS status Theorem for theBenchmark
% 10.46/2.45  % SZS output start Proof for theBenchmark
% See solution above
% 10.46/2.45  % (3428150)------------------------------
% 10.46/2.45  % (3428150)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.46/2.45  % (3428150)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.46/2.45  % (3428150)CaDiCaL version: 2.1.3
% 10.46/2.45  % (3428150)Termination reason: Refutation
% 10.46/2.45  % (3428150)Time elapsed: 0.075 s
% 10.46/2.45  % (3428150)Peak memory usage: 90 MB
% 10.46/2.45  % (3428150)Instructions burned: 5 (million)
% 10.46/2.45  % (3428150)------------------------------
% 10.46/2.45  % (3428150)------------------------------
% 10.46/2.45  % (3428137)Success in time 1.53 s
% 10.46/2.45  % Vampire exiting
%------------------------------------------------------------------------------