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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SET935+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n019.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 12:42:22 PM UTC 2026

% Result   : Theorem 2.26s 1.15s
% Output   : Refutation 2.64s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   76 (  20 unt;   3 def)
%            Number of atoms       :  235 (  41 equ)
%            Maximal formula atoms :   14 (   3 avg)
%            Number of connectives :  261 ( 102   ~; 108   |;  40   &)
%                                         (   9 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   4 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   2 con; 0-3 aty)
%            Number of variables   :  113 (   1 sgn 106   !;   7   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2,axiom,
    ! [X0,X1] : set_union2(X0,X1) = set_union2(X1,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k2_xboole_0) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( X0 = X1
    <=> ( subset(X0,X1)
        & subset(X1,X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d10_xboole_0) ).

fof(f4,axiom,
    ! [X0,X1] :
      ( X1 = powerset(X0)
    <=> ! [X2] :
          ( in(X2,X1)
        <=> subset(X2,X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_zfmisc_1) ).

fof(f5,axiom,
    ! [X0,X1,X2] :
      ( X2 = set_union2(X0,X1)
    <=> ! [X3] :
          ( in(X3,X2)
        <=> ( in(X3,X0)
            | in(X3,X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_xboole_0) ).

fof(f6,axiom,
    ! [X0,X1] :
      ( inclusion_comparable(X0,X1)
    <=> ( subset(X0,X1)
        | subset(X1,X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d9_xboole_0) ).

fof(f9,axiom,
    ! [X0,X1] : set_union2(X0,X0) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',idempotence_k2_xboole_0) ).

fof(f15,axiom,
    ! [X0,X1] : subset(X0,set_union2(X0,X1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_xboole_1) ).

fof(f16,conjecture,
    ! [X0,X1] :
      ( set_union2(powerset(X0),powerset(X1)) = powerset(set_union2(X0,X1))
     => inclusion_comparable(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t82_zfmisc_1) ).

fof(f17,negated_conjecture,
    ~ ! [X0,X1] :
        ( set_union2(powerset(X0),powerset(X1)) = powerset(set_union2(X0,X1))
       => inclusion_comparable(X0,X1) ),
    inference(negated_conjecture,[status(cth)],[f16]) ).

fof(f18,plain,
    ! [X0] : set_union2(X0,X0) = X0,
    inference(rectify,[],[f9]) ).

fof(f25,plain,
    ? [X0,X1] :
      ( ~ inclusion_comparable(X0,X1)
      & set_union2(powerset(X0),powerset(X1)) = powerset(set_union2(X0,X1)) ),
    inference(ennf_transformation,[],[f17]) ).

fof(f26,plain,
    ! [X0,X1] :
      ( ( X0 = X1
        | ~ subset(X0,X1)
        | ~ subset(X1,X0) )
      & ( ( subset(X0,X1)
          & subset(X1,X0) )
        | X0 != X1 ) ),
    inference(nnf_transformation,[],[f3]) ).

fof(f27,plain,
    ! [X0,X1] :
      ( ( X0 = X1
        | ~ subset(X0,X1)
        | ~ subset(X1,X0) )
      & ( ( subset(X0,X1)
          & subset(X1,X0) )
        | X0 != X1 ) ),
    inference(flattening,[],[f26]) ).

fof(f28,plain,
    ! [X0,X1] :
      ( ( X1 = powerset(X0)
        | ? [X2] :
            ( ( ~ subset(X2,X0)
              | ~ in(X2,X1) )
            & ( subset(X2,X0)
              | in(X2,X1) ) ) )
      & ( ! [X2] :
            ( ( in(X2,X1)
              | ~ subset(X2,X0) )
            & ( subset(X2,X0)
              | ~ in(X2,X1) ) )
        | powerset(X0) != X1 ) ),
    inference(nnf_transformation,[],[f4]) ).

fof(f29,plain,
    ! [X0,X1] :
      ( ( X1 = powerset(X0)
        | ? [X2] :
            ( ( ~ subset(X2,X0)
              | ~ in(X2,X1) )
            & ( subset(X2,X0)
              | in(X2,X1) ) ) )
      & ( ! [X3] :
            ( ( in(X3,X1)
              | ~ subset(X3,X0) )
            & ( subset(X3,X0)
              | ~ in(X3,X1) ) )
        | powerset(X0) != X1 ) ),
    inference(rectify,[],[f28]) ).

fof(f30,plain,
    ! [X0,X1] :
      ( ( X1 = powerset(X0)
        | ( ( ~ subset(sK0(X0,X1),X0)
            | ~ in(sK0(X0,X1),X1) )
          & ( subset(sK0(X0,X1),X0)
            | in(sK0(X0,X1),X1) ) ) )
      & ( ! [X3] :
            ( ( in(X3,X1)
              | ~ subset(X3,X0) )
            & ( subset(X3,X0)
              | ~ in(X3,X1) ) )
        | powerset(X0) != X1 ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0,X1))],[f29]) ).

fof(f31,plain,
    ! [X0,X1,X2] :
      ( ( X2 = set_union2(X0,X1)
        | ? [X3] :
            ( ( ( ~ in(X3,X0)
                & ~ in(X3,X1) )
              | ~ in(X3,X2) )
            & ( in(X3,X0)
              | in(X3,X1)
              | in(X3,X2) ) ) )
      & ( ! [X3] :
            ( ( in(X3,X2)
              | ( ~ in(X3,X0)
                & ~ in(X3,X1) ) )
            & ( in(X3,X0)
              | in(X3,X1)
              | ~ in(X3,X2) ) )
        | set_union2(X0,X1) != X2 ) ),
    inference(nnf_transformation,[],[f5]) ).

fof(f32,plain,
    ! [X0,X1,X2] :
      ( ( X2 = set_union2(X0,X1)
        | ? [X3] :
            ( ( ( ~ in(X3,X0)
                & ~ in(X3,X1) )
              | ~ in(X3,X2) )
            & ( in(X3,X0)
              | in(X3,X1)
              | in(X3,X2) ) ) )
      & ( ! [X3] :
            ( ( in(X3,X2)
              | ( ~ in(X3,X0)
                & ~ in(X3,X1) ) )
            & ( in(X3,X0)
              | in(X3,X1)
              | ~ in(X3,X2) ) )
        | set_union2(X0,X1) != X2 ) ),
    inference(flattening,[],[f31]) ).

fof(f33,plain,
    ! [X0,X1,X2] :
      ( ( X2 = set_union2(X0,X1)
        | ? [X3] :
            ( ( ( ~ in(X3,X0)
                & ~ in(X3,X1) )
              | ~ in(X3,X2) )
            & ( in(X3,X0)
              | in(X3,X1)
              | in(X3,X2) ) ) )
      & ( ! [X4] :
            ( ( in(X4,X2)
              | ( ~ in(X4,X0)
                & ~ in(X4,X1) ) )
            & ( in(X4,X0)
              | in(X4,X1)
              | ~ in(X4,X2) ) )
        | set_union2(X0,X1) != X2 ) ),
    inference(rectify,[],[f32]) ).

fof(f34,plain,
    ! [X0,X1,X2] :
      ( ( X2 = set_union2(X0,X1)
        | ( ( ( ~ in(sK1(X0,X1,X2),X0)
              & ~ in(sK1(X0,X1,X2),X1) )
            | ~ in(sK1(X0,X1,X2),X2) )
          & ( in(sK1(X0,X1,X2),X0)
            | in(sK1(X0,X1,X2),X1)
            | in(sK1(X0,X1,X2),X2) ) ) )
      & ( ! [X4] :
            ( ( in(X4,X2)
              | ( ~ in(X4,X0)
                & ~ in(X4,X1) ) )
            & ( in(X4,X0)
              | in(X4,X1)
              | ~ in(X4,X2) ) )
        | set_union2(X0,X1) != X2 ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X3,sK1(X0,X1,X2))],[f33]) ).

fof(f35,plain,
    ! [X0,X1] :
      ( ( inclusion_comparable(X0,X1)
        | ( ~ subset(X0,X1)
          & ~ subset(X1,X0) ) )
      & ( subset(X0,X1)
        | subset(X1,X0)
        | ~ inclusion_comparable(X0,X1) ) ),
    inference(nnf_transformation,[],[f6]) ).

fof(f36,plain,
    ! [X0,X1] :
      ( ( inclusion_comparable(X0,X1)
        | ( ~ subset(X0,X1)
          & ~ subset(X1,X0) ) )
      & ( subset(X0,X1)
        | subset(X1,X0)
        | ~ inclusion_comparable(X0,X1) ) ),
    inference(flattening,[],[f35]) ).

fof(f39,plain,
    ( ~ inclusion_comparable(sK4,sK5)
    & set_union2(powerset(sK4),powerset(sK5)) = powerset(set_union2(sK4,sK5)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5]),skolemize(X0,sK4),skolemize(X1,sK5)],[f25]) ).

fof(f41,plain,
    ! [X0,X1] : set_union2(X0,X1) = set_union2(X1,X0),
    inference(cnf_transformation,[],[f2]) ).

fof(f43,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
      | X0 != X1 ),
    inference(cnf_transformation,[],[f27]) ).

fof(f44,plain,
    ! [X0,X1] :
      ( ~ subset(X0,X1)
      | X0 = X1
      | ~ subset(X1,X0) ),
    inference(cnf_transformation,[],[f27]) ).

fof(f45,plain,
    ! [X3,X0,X1] :
      ( subset(X3,X0)
      | ~ in(X3,X1)
      | powerset(X0) != X1 ),
    inference(cnf_transformation,[],[f30]) ).

fof(f46,plain,
    ! [X3,X0,X1] :
      ( in(X3,X1)
      | ~ subset(X3,X0)
      | powerset(X0) != X1 ),
    inference(cnf_transformation,[],[f30]) ).

fof(f49,plain,
    ! [X2,X0,X1,X4] :
      ( in(X4,X0)
      | in(X4,X1)
      | ~ in(X4,X2)
      | set_union2(X0,X1) != X2 ),
    inference(cnf_transformation,[],[f34]) ).

fof(f50,plain,
    ! [X2,X0,X1,X4] :
      ( in(X4,X2)
      | ~ in(X4,X1)
      | set_union2(X0,X1) != X2 ),
    inference(cnf_transformation,[],[f34]) ).

fof(f56,plain,
    ! [X0,X1] :
      ( inclusion_comparable(X0,X1)
      | ~ subset(X1,X0) ),
    inference(cnf_transformation,[],[f36]) ).

fof(f57,plain,
    ! [X0,X1] :
      ( inclusion_comparable(X0,X1)
      | ~ subset(X0,X1) ),
    inference(cnf_transformation,[],[f36]) ).

fof(f60,plain,
    ! [X0] : set_union2(X0,X0) = X0,
    inference(cnf_transformation,[],[f18]) ).

fof(f66,plain,
    ! [X0,X1] : subset(X0,set_union2(X0,X1)),
    inference(cnf_transformation,[],[f15]) ).

fof(f67,plain,
    set_union2(powerset(sK4),powerset(sK5)) = powerset(set_union2(sK4,sK5)),
    inference(cnf_transformation,[],[f39]) ).

fof(f68,plain,
    ~ inclusion_comparable(sK4,sK5),
    inference(cnf_transformation,[],[f39]) ).

fof(f69,plain,
    ! [X1] : subset(X1,X1),
    inference(equality_resolution,[],[f43]) ).

fof(f71,plain,
    ! [X3,X0] :
      ( in(X3,powerset(X0))
      | ~ subset(X3,X0) ),
    inference(equality_resolution,[],[f46]) ).

fof(f72,plain,
    ! [X3,X0] :
      ( ~ in(X3,powerset(X0))
      | subset(X3,X0) ),
    inference(equality_resolution,[],[f45]) ).

fof(f74,plain,
    ! [X0,X1,X4] :
      ( ~ in(X4,X1)
      | in(X4,set_union2(X0,X1)) ),
    inference(equality_resolution,[],[f50]) ).

fof(f75,plain,
    ! [X0,X1,X4] :
      ( ~ in(X4,set_union2(X0,X1))
      | in(X4,X1)
      | in(X4,X0) ),
    inference(equality_resolution,[],[f49]) ).

fof(f78,plain,
    ~ subset(sK5,sK4),
    inference(resolution,[],[f56,f68]) ).

fof(f79,plain,
    ~ subset(sK4,sK5),
    inference(resolution,[],[f57,f68]) ).

fof(f92,plain,
    ! [X0,X1] : subset(X1,set_union2(X0,X1)),
    inference(superposition,[],[f66,f41]) ).

fof(f109,plain,
    ! [X0,X1] :
      ( ~ subset(set_union2(X0,X1),X0)
      | set_union2(X0,X1) = X0 ),
    inference(resolution,[],[f44,f66]) ).

fof(f110,plain,
    ! [X0,X1] :
      ( ~ subset(set_union2(X1,X0),X0)
      | set_union2(X1,X0) = X0 ),
    inference(resolution,[],[f44,f92]) ).

fof(f137,plain,
    ! [X0] :
      ( ~ in(X0,powerset(set_union2(sK4,sK5)))
      | in(X0,powerset(sK5))
      | in(X0,powerset(sK4)) ),
    inference(superposition,[],[f75,f67]) ).

fof(f142,plain,
    ! [X0] :
      ( in(X0,powerset(sK5))
      | in(X0,powerset(sK4))
      | ~ subset(X0,set_union2(sK4,sK5)) ),
    inference(resolution,[],[f137,f71]) ).

fof(f146,plain,
    ! [X0,X1] :
      ( ~ subset(X0,set_union2(sK4,sK5))
      | in(X0,powerset(sK4))
      | in(X0,set_union2(X1,powerset(sK5))) ),
    inference(resolution,[],[f142,f74]) ).

fof(f775,definition,
    ( spl6_14
  <=> in(set_union2(sK4,sK5),powerset(sK4)) ),
    introduced(definition,[new_symbols(definition,[spl6_14])],[avatar_definition]) ).

fof(f777,plain,
    ( in(set_union2(sK4,sK5),powerset(sK4))
    | ~ spl6_14 ),
    inference(avatar_component_clause,[],[f775]) ).

fof(f781,plain,
    ! [X0] :
      ( in(set_union2(sK4,sK5),powerset(sK4))
      | in(set_union2(sK4,sK5),set_union2(X0,powerset(sK5))) ),
    inference(resolution,[],[f146,f69]) ).

fof(f786,definition,
    ( spl6_15
  <=> ! [X0] : in(set_union2(sK4,sK5),set_union2(X0,powerset(sK5))) ),
    introduced(definition,[new_symbols(definition,[spl6_15])],[avatar_definition]) ).

fof(f787,plain,
    ( ! [X0] : in(set_union2(sK4,sK5),set_union2(X0,powerset(sK5)))
    | ~ spl6_15 ),
    inference(avatar_component_clause,[],[f786]) ).

fof(f788,plain,
    ( spl6_15
    | spl6_14 ),
    inference(avatar_split_clause,[],[f781,f775,f786]) ).

fof(f789,plain,
    ( subset(set_union2(sK4,sK5),sK4)
    | ~ spl6_14 ),
    inference(resolution,[],[f777,f72]) ).

fof(f799,plain,
    ( sK4 = set_union2(sK4,sK5)
    | ~ spl6_14 ),
    inference(resolution,[],[f789,f109]) ).

fof(f849,plain,
    ( subset(sK5,sK4)
    | ~ spl6_14 ),
    inference(superposition,[],[f92,f799]) ).

fof(f864,plain,
    ( $false
    | ~ spl6_14 ),
    inference(forward_subsumption_resolution,[],[f849,f78]) ).

fof(f865,plain,
    ~ spl6_14,
    inference(avatar_contradiction_clause,[],[f864]) ).

fof(f906,plain,
    ( in(set_union2(sK4,sK5),powerset(sK5))
    | ~ spl6_15 ),
    inference(superposition,[],[f787,f60]) ).

fof(f914,definition,
    ( spl6_20
  <=> in(set_union2(sK4,sK5),powerset(sK5)) ),
    introduced(definition,[new_symbols(definition,[spl6_20])],[avatar_definition]) ).

fof(f916,plain,
    ( in(set_union2(sK4,sK5),powerset(sK5))
    | ~ spl6_20 ),
    inference(avatar_component_clause,[],[f914]) ).

fof(f959,plain,
    ( spl6_20
    | ~ spl6_15 ),
    inference(avatar_split_clause,[],[f906,f786,f914]) ).

fof(f966,plain,
    ( subset(set_union2(sK4,sK5),sK5)
    | ~ spl6_20 ),
    inference(resolution,[],[f916,f72]) ).

fof(f973,plain,
    ( sK5 = set_union2(sK4,sK5)
    | ~ spl6_20 ),
    inference(resolution,[],[f966,f110]) ).

fof(f1034,plain,
    ( subset(sK4,sK5)
    | ~ spl6_20 ),
    inference(superposition,[],[f66,f973]) ).

fof(f1051,plain,
    ( $false
    | ~ spl6_20 ),
    inference(forward_subsumption_resolution,[],[f1034,f79]) ).

fof(f1052,plain,
    ~ spl6_20,
    inference(avatar_contradiction_clause,[],[f1051]) ).

cnf(s15,plain,
    ( spl6_14
    | spl6_15 ),
    inference(sat_conversion,[],[f788]) ).

cnf(s16,plain,
    ~ spl6_14,
    inference(sat_conversion,[],[f865]) ).

cnf(s30,plain,
    ( ~ spl6_15
    | spl6_20 ),
    inference(sat_conversion,[],[f959]) ).

cnf(s33,plain,
    ~ spl6_20,
    inference(sat_conversion,[],[f1052]) ).

cnf(s35,plain,
    ~ spl6_15,
    inference(rat,[],[s30,s33]) ).

cnf(s37,plain,
    $false,
    inference(rat,[],[s15,s35,s16]) ).

fof(f1055,plain,
    $false,
    inference(avatar_sat_refutation,[],[s37]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SET935+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.40  % Computer : n019.cluster.edu
% 0.13/0.40  % Model    : x86_64 x86_64
% 0.13/0.40  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40  % Memory   : 8046.5625MB
% 0.13/0.40  % OS       : Linux 6.8.0-71-generic
% 0.13/0.40  % CPULimit : 300
% 0.13/0.40  % WCLimit  : 300
% 0.13/0.40  % DateTime : Mon Sep 28 03:15:49 UTC 2026
% 0.13/0.40  % CPUTime  : 
% 0.13/0.40  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.44  Running first-order theorem proving
% 0.13/0.44  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
% 2.26/1.15  % (3627211)Detected formulas, will run a generic FOF schedule.
% 2.26/1.15  % (3627306)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1498828168:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.26/1.15  % (3627306)First to succeed.
% 2.26/1.15  % (3627306)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3627211"
% 2.26/1.15  % (3627307)dis-21_1_sil=8000:lcm=predicate:random_seed=1899995372: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)
% 2.26/1.15  % (3627303)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=1843761170:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.26/1.15  % (3627304)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1427296002:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.26/1.15  % (3627301)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=2085719190:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.26/1.15  % (3627302)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=3221219255:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.26/1.15  % (3627305)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2539565479:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.26/1.15  % (3627304)Refutation not found, incomplete strategy
% 2.26/1.15  % (3627304)------------------------------
% 2.26/1.15  % (3627304)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.26/1.15  % (3627304)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.26/1.15  % (3627304)CaDiCaL version: 2.1.3
% 2.26/1.15  % (3627304)Termination reason: Refutation not found, incomplete strategy
% 2.26/1.15  % (3627304)Time elapsed: 0.001 s
% 2.26/1.15  % (3627304)Peak memory usage: 88 MB
% 2.26/1.15  % (3627305)Also succeeded, but the first one will report.
% 2.26/1.15  % (3627307)Instruction limit reached! 
% 2.26/1.15  % (3627307)------------------------------
% 2.26/1.15  % (3627307)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.26/1.15  % (3627307)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.26/1.15  % (3627307)CaDiCaL version: 2.1.3
% 2.26/1.15  % (3627307)Termination reason: Instruction limit
% 2.26/1.15  % (3627307)Termination phase: Saturation
% 2.26/1.15  % (3627307)Time elapsed: 0.074 s
% 2.26/1.15  % (3627307)Peak memory usage: 89 MB
% 2.26/1.15  % (3627307)Instructions burned: 130 (million)
% 2.26/1.15  % (3627306)Refutation found. Thanks to Tanya!
% 2.26/1.15  % SZS status Theorem for theBenchmark
% 2.26/1.15  % SZS output start Proof for theBenchmark
% See solution above
% 2.64/1.35  % (3627306)------------------------------
% 2.64/1.35  % (3627306)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.64/1.35  % (3627306)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.64/1.35  % (3627306)CaDiCaL version: 2.1.3
% 2.64/1.35  % (3627306)Termination reason: Refutation
% 2.64/1.35  % (3627306)Time elapsed: 0.019 s
% 2.64/1.35  % (3627306)Peak memory usage: 90 MB
% 2.64/1.35  % (3627306)Instructions burned: 47 (million)
% 2.64/1.35  % (3627306)------------------------------
% 2.64/1.35  % (3627306)------------------------------
% 2.64/1.35  % (3627211)Success in time 0.278 s
% 2.64/1.35  % Vampire exiting
%------------------------------------------------------------------------------