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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SEU164+3 : TPTP v9.3.1. Bugfixed v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/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 12:47:31 PM UTC 2026

% Result   : Theorem 2.70s 1.32s
% Output   : Refutation 3.69s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   71 (  15 unt;   5 def)
%            Number of atoms       :  227 (  25 equ)
%            Maximal formula atoms :   14 (   3 avg)
%            Number of connectives :  263 ( 107   ~; 113   |;  31   &)
%                                         (  11 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   5 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   1 con; 0-2 aty)
%            Number of variables   :  102 (   1 sgn  90   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3,axiom,
    ! [X0,X1] :
      ( X1 = powerset(X0)
    <=> ! [X2] :
          ( in(X2,X1)
        <=> subset(X2,X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_zfmisc_1) ).

fof(f4,axiom,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( in(X2,X0)
         => in(X2,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).

fof(f5,axiom,
    ! [X0,X1] :
      ( X1 = union(X0)
    <=> ! [X2] :
          ( in(X2,X1)
        <=> ? [X3] :
              ( in(X2,X3)
              & in(X3,X0) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_tarski) ).

fof(f9,axiom,
    ! [X0,X1] : subset(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).

fof(f11,conjecture,
    ! [X0] : union(powerset(X0)) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t99_zfmisc_1) ).

fof(f12,negated_conjecture,
    ~ ! [X0] : union(powerset(X0)) = X0,
    inference(negated_conjecture,[status(cth)],[f11]) ).

fof(f13,plain,
    ! [X0] : subset(X0,X0),
    inference(rectify,[],[f9]) ).

fof(f15,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( in(X2,X1)
          | ~ in(X2,X0) ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f17,plain,
    ? [X0] : union(powerset(X0)) != X0,
    inference(ennf_transformation,[],[f12]) ).

fof(f21,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,[],[f3]) ).

fof(f22,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,[],[f21]) ).

fof(f23,plain,
    ! [X0,X1] :
      ( ( X1 = powerset(X0)
        | ( ( ~ subset(sK1(X0,X1),X0)
            | ~ in(sK1(X0,X1),X1) )
          & ( subset(sK1(X0,X1),X0)
            | in(sK1(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,[sK1]),skolemize(X2,sK1(X0,X1))],[f22]) ).

fof(f24,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ? [X2] :
            ( ~ in(X2,X1)
            & in(X2,X0) ) )
      & ( ! [X2] :
            ( in(X2,X1)
            | ~ in(X2,X0) )
        | ~ subset(X0,X1) ) ),
    inference(nnf_transformation,[],[f15]) ).

fof(f25,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ? [X2] :
            ( ~ in(X2,X1)
            & in(X2,X0) ) )
      & ( ! [X3] :
            ( in(X3,X1)
            | ~ in(X3,X0) )
        | ~ subset(X0,X1) ) ),
    inference(rectify,[],[f24]) ).

fof(f26,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ( ~ in(sK2(X0,X1),X1)
          & in(sK2(X0,X1),X0) ) )
      & ( ! [X3] :
            ( in(X3,X1)
            | ~ in(X3,X0) )
        | ~ subset(X0,X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X2,sK2(X0,X1))],[f25]) ).

fof(f27,plain,
    ! [X0,X1] :
      ( ( X1 = union(X0)
        | ? [X2] :
            ( ( ! [X3] :
                  ( ~ in(X2,X3)
                  | ~ in(X3,X0) )
              | ~ in(X2,X1) )
            & ( ? [X3] :
                  ( in(X2,X3)
                  & in(X3,X0) )
              | in(X2,X1) ) ) )
      & ( ! [X2] :
            ( ( in(X2,X1)
              | ! [X3] :
                  ( ~ in(X2,X3)
                  | ~ in(X3,X0) ) )
            & ( ? [X3] :
                  ( in(X2,X3)
                  & in(X3,X0) )
              | ~ in(X2,X1) ) )
        | union(X0) != X1 ) ),
    inference(nnf_transformation,[],[f5]) ).

fof(f28,plain,
    ! [X0,X1] :
      ( ( X1 = union(X0)
        | ? [X2] :
            ( ( ! [X3] :
                  ( ~ in(X2,X3)
                  | ~ in(X3,X0) )
              | ~ in(X2,X1) )
            & ( ? [X4] :
                  ( in(X2,X4)
                  & in(X4,X0) )
              | in(X2,X1) ) ) )
      & ( ! [X5] :
            ( ( in(X5,X1)
              | ! [X6] :
                  ( ~ in(X5,X6)
                  | ~ in(X6,X0) ) )
            & ( ? [X7] :
                  ( in(X5,X7)
                  & in(X7,X0) )
              | ~ in(X5,X1) ) )
        | union(X0) != X1 ) ),
    inference(rectify,[],[f27]) ).

fof(f29,plain,
    ! [X0,X1] :
      ( ( X1 = union(X0)
        | ( ( ! [X3] :
                ( ~ in(sK3(X0,X1),X3)
                | ~ in(X3,X0) )
            | ~ in(sK3(X0,X1),X1) )
          & ( ( in(sK3(X0,X1),sK4(X0,X1))
              & in(sK4(X0,X1),X0) )
            | in(sK3(X0,X1),X1) ) ) )
      & ( ! [X5] :
            ( ( in(X5,X1)
              | ! [X6] :
                  ( ~ in(X5,X6)
                  | ~ in(X6,X0) ) )
            & ( ( in(X5,sK5(X0,X5))
                & in(sK5(X0,X5),X0) )
              | ~ in(X5,X1) ) )
        | union(X0) != X1 ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4,sK5]),skolemize(X2,sK3(X0,X1)),skolemize(X4,sK4(X0,X1)),skolemize(X7,sK5(X0,X5))],[f28]) ).

fof(f35,plain,
    sK9 != union(powerset(sK9)),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(X0,sK9)],[f17]) ).

fof(f41,plain,
    ! [X3,X0,X1] :
      ( subset(X3,X0)
      | ~ in(X3,X1)
      | powerset(X0) != X1 ),
    inference(cnf_transformation,[],[f23]) ).

fof(f42,plain,
    ! [X3,X0,X1] :
      ( in(X3,X1)
      | ~ subset(X3,X0)
      | powerset(X0) != X1 ),
    inference(cnf_transformation,[],[f23]) ).

fof(f45,plain,
    ! [X3,X0,X1] :
      ( ~ subset(X0,X1)
      | ~ in(X3,X0)
      | in(X3,X1) ),
    inference(cnf_transformation,[],[f26]) ).

fof(f51,plain,
    ! [X0,X1] :
      ( union(X0) = X1
      | in(sK4(X0,X1),X0)
      | in(sK3(X0,X1),X1) ),
    inference(cnf_transformation,[],[f29]) ).

fof(f52,plain,
    ! [X0,X1] :
      ( union(X0) = X1
      | in(sK3(X0,X1),sK4(X0,X1))
      | in(sK3(X0,X1),X1) ),
    inference(cnf_transformation,[],[f29]) ).

fof(f53,plain,
    ! [X3,X0,X1] :
      ( union(X0) = X1
      | ~ in(sK3(X0,X1),X3)
      | ~ in(X3,X0)
      | ~ in(sK3(X0,X1),X1) ),
    inference(cnf_transformation,[],[f29]) ).

fof(f58,plain,
    ! [X0] : subset(X0,X0),
    inference(cnf_transformation,[],[f13]) ).

fof(f61,plain,
    sK9 != union(powerset(sK9)),
    inference(cnf_transformation,[],[f35]) ).

fof(f65,plain,
    ! [X3,X0] :
      ( ~ subset(X3,X0)
      | in(X3,powerset(X0)) ),
    inference(equality_resolution,[],[f42]) ).

fof(f66,plain,
    ! [X3,X0] :
      ( subset(X3,X0)
      | ~ in(X3,powerset(X0)) ),
    inference(equality_resolution,[],[f41]) ).

fof(f70,definition,
    ! [X0,X1] :
      ( sQ10_eqProxy(X0,X1)
    <=> X0 = X1 ),
    introduced(definition,[new_symbols(definition,[sQ10_eqProxy])],[equality_proxy_definition]) ).

fof(f76,plain,
    ! [X3,X0,X1] :
      ( sQ10_eqProxy(union(X0),X1)
      | ~ in(sK3(X0,X1),X3)
      | ~ in(X3,X0)
      | ~ in(sK3(X0,X1),X1) ),
    inference(equality_proxy_replacement,[],[f53,f70]) ).

fof(f77,plain,
    ! [X0,X1] :
      ( sQ10_eqProxy(union(X0),X1)
      | in(sK3(X0,X1),sK4(X0,X1))
      | in(sK3(X0,X1),X1) ),
    inference(equality_proxy_replacement,[],[f52,f70]) ).

fof(f78,plain,
    ! [X0,X1] :
      ( sQ10_eqProxy(union(X0),X1)
      | in(sK4(X0,X1),X0)
      | in(sK3(X0,X1),X1) ),
    inference(equality_proxy_replacement,[],[f51,f70]) ).

fof(f81,plain,
    ~ sQ10_eqProxy(sK9,union(powerset(sK9))),
    inference(equality_proxy_replacement,[],[f61,f70]) ).

fof(f83,plain,
    ! [X0,X1] :
      ( sQ10_eqProxy(X1,X0)
      | ~ sQ10_eqProxy(X0,X1) ),
    inference(equality_proxy_axiom,[],[f70]) ).

fof(f85,plain,
    ~ sQ10_eqProxy(union(powerset(sK9)),sK9),
    inference(resolution,[],[f83,f81]) ).

fof(f89,plain,
    ! [X0] : in(X0,powerset(X0)),
    inference(resolution,[],[f65,f58]) ).

fof(f104,plain,
    ! [X2,X0,X1] :
      ( in(X0,X2)
      | ~ in(X0,X1)
      | ~ in(X1,powerset(X2)) ),
    inference(resolution,[],[f45,f66]) ).

fof(f218,plain,
    ( in(sK4(powerset(sK9),sK9),powerset(sK9))
    | in(sK3(powerset(sK9),sK9),sK9) ),
    inference(resolution,[],[f78,f85]) ).

fof(f220,definition,
    ( spl11_5
  <=> in(sK3(powerset(sK9),sK9),sK9) ),
    introduced(definition,[new_symbols(definition,[spl11_5])],[avatar_definition]) ).

fof(f221,plain,
    ( in(sK3(powerset(sK9),sK9),sK9)
    | ~ spl11_5 ),
    inference(avatar_component_clause,[],[f220]) ).

fof(f223,definition,
    ( spl11_6
  <=> in(sK4(powerset(sK9),sK9),powerset(sK9)) ),
    introduced(definition,[new_symbols(definition,[spl11_6])],[avatar_definition]) ).

fof(f224,plain,
    ( in(sK4(powerset(sK9),sK9),powerset(sK9))
    | ~ spl11_6 ),
    inference(avatar_component_clause,[],[f223]) ).

fof(f225,plain,
    ( spl11_5
    | spl11_6 ),
    inference(avatar_split_clause,[],[f218,f223,f220]) ).

fof(f229,plain,
    ( in(sK3(powerset(sK9),sK9),sK4(powerset(sK9),sK9))
    | in(sK3(powerset(sK9),sK9),sK9) ),
    inference(resolution,[],[f77,f85]) ).

fof(f231,definition,
    ( spl11_7
  <=> in(sK3(powerset(sK9),sK9),sK4(powerset(sK9),sK9)) ),
    introduced(definition,[new_symbols(definition,[spl11_7])],[avatar_definition]) ).

fof(f232,plain,
    ( in(sK3(powerset(sK9),sK9),sK4(powerset(sK9),sK9))
    | ~ spl11_7 ),
    inference(avatar_component_clause,[],[f231]) ).

fof(f233,plain,
    ( spl11_5
    | spl11_7 ),
    inference(avatar_split_clause,[],[f229,f231,f220]) ).

fof(f237,plain,
    ! [X0] :
      ( ~ in(sK3(powerset(sK9),sK9),X0)
      | ~ in(X0,powerset(sK9))
      | ~ in(sK3(powerset(sK9),sK9),sK9) ),
    inference(resolution,[],[f76,f85]) ).

fof(f238,plain,
    ( ~ in(sK3(powerset(sK9),sK9),sK9)
    | spl11_5 ),
    inference(avatar_component_clause,[],[f220]) ).

fof(f240,definition,
    ( spl11_8
  <=> ! [X0] :
        ( ~ in(sK3(powerset(sK9),sK9),X0)
        | ~ in(X0,powerset(sK9)) ) ),
    introduced(definition,[new_symbols(definition,[spl11_8])],[avatar_definition]) ).

fof(f241,plain,
    ( ! [X0] :
        ( ~ in(sK3(powerset(sK9),sK9),X0)
        | ~ in(X0,powerset(sK9)) )
    | ~ spl11_8 ),
    inference(avatar_component_clause,[],[f240]) ).

fof(f242,plain,
    ( ~ spl11_5
    | spl11_8 ),
    inference(avatar_split_clause,[],[f237,f240,f220]) ).

fof(f243,plain,
    ( ~ in(sK9,powerset(sK9))
    | ~ spl11_5
    | ~ spl11_8 ),
    inference(resolution,[],[f241,f221]) ).

fof(f248,plain,
    ( $false
    | ~ spl11_5
    | ~ spl11_8 ),
    inference(resolution,[],[f243,f89]) ).

fof(f249,plain,
    ( ~ spl11_5
    | ~ spl11_8 ),
    inference(avatar_contradiction_clause,[],[f248]) ).

fof(f250,plain,
    ( ~ in(sK4(powerset(sK9),sK9),powerset(sK9))
    | ~ spl11_7
    | ~ spl11_8 ),
    inference(resolution,[],[f232,f241]) ).

fof(f251,plain,
    ( $false
    | ~ spl11_6
    | ~ spl11_7
    | ~ spl11_8 ),
    inference(resolution,[],[f250,f224]) ).

fof(f252,plain,
    ( ~ spl11_6
    | ~ spl11_7
    | ~ spl11_8 ),
    inference(avatar_contradiction_clause,[],[f251]) ).

fof(f291,plain,
    ( ! [X0] :
        ( ~ in(sK3(powerset(sK9),sK9),X0)
        | ~ in(X0,powerset(sK9)) )
    | spl11_5 ),
    inference(resolution,[],[f104,f238]) ).

fof(f295,plain,
    ( spl11_8
    | spl11_5 ),
    inference(avatar_split_clause,[],[f291,f220,f240]) ).

cnf(s7,plain,
    ( spl11_5
    | spl11_6 ),
    inference(sat_conversion,[],[f225]) ).

cnf(s8,plain,
    ( spl11_5
    | spl11_7 ),
    inference(sat_conversion,[],[f233]) ).

cnf(s9,plain,
    ( ~ spl11_5
    | spl11_8 ),
    inference(sat_conversion,[],[f242]) ).

cnf(s10,plain,
    ( ~ spl11_5
    | ~ spl11_8 ),
    inference(sat_conversion,[],[f249]) ).

cnf(s11,plain,
    ( ~ spl11_6
    | ~ spl11_7
    | ~ spl11_8 ),
    inference(sat_conversion,[],[f252]) ).

cnf(s12,plain,
    ( spl11_5
    | spl11_8 ),
    inference(sat_conversion,[],[f295]) ).

cnf(s15,plain,
    spl11_5,
    inference(rat,[],[s11,s7,s8,s12]) ).

cnf(s16,plain,
    ~ spl11_8,
    inference(rat,[],[s10,s15]) ).

cnf(s17,plain,
    $false,
    inference(rat,[],[s9,s16,s15]) ).

fof(f296,plain,
    $false,
    inference(avatar_sat_refutation,[],[s17]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SEU164+3 : TPTP v9.3.1. Bugfixed v4.0.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.40  % Computer : n011.cluster.edu
% 0.09/0.40  % Model    : x86_64 x86_64
% 0.09/0.40  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.40  % Memory   : 8046.5625MB
% 0.09/0.40  % OS       : Linux 6.8.0-71-generic
% 0.09/0.40  % CPULimit : 300
% 0.09/0.40  % WCLimit  : 300
% 0.09/0.40  % DateTime : Mon Sep 28 03:50:16 UTC 2026
% 0.09/0.41  % CPUTime  : 
% 0.09/0.41  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.44  Running first-order theorem proving
% 0.09/0.44  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.70/1.32  % (3001986)Detected formulas, will run a generic FOF schedule.
% 2.70/1.32  % (3001994)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3028298099:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.70/1.32  % (3001994)Refutation not found, incomplete strategy
% 2.70/1.32  % (3001994)------------------------------
% 2.70/1.32  % (3001994)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.70/1.32  % (3001994)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/1.32  % (3001994)CaDiCaL version: 2.1.3
% 2.70/1.32  % (3001994)Termination reason: Refutation not found, incomplete strategy
% 2.70/1.32  % (3001994)Time elapsed: 0.001 s
% 2.70/1.32  % (3001994)Peak memory usage: 88 MB
% 2.70/1.32  % (3001994)Instructions burned: 1 (million)
% 2.70/1.32  % (3001997)dis-21_1_sil=8000:lcm=predicate:random_seed=1661058501: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)
% 2.70/1.32  % (3001992)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=2523711622:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.70/1.32  % (3001993)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=344508931:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.70/1.32  % (3001995)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=999260968:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.70/1.32  % (3001991)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=2014910504:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.70/1.32  % (3001997)First to succeed.
% 2.70/1.32  % (3001997)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3001986"
% 2.70/1.32  % (3001996)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2924659134:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.70/1.32  % (3001995)Also succeeded, but the first one will report.
% 2.70/1.32  % (3001996)Instruction limit reached! 
% 2.70/1.32  % (3001996)------------------------------
% 2.70/1.32  % (3001996)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.70/1.32  % (3001996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/1.32  % (3001996)CaDiCaL version: 2.1.3
% 2.70/1.32  % (3001996)Termination reason: Instruction limit
% 2.70/1.32  % (3001996)Termination phase: Saturation
% 2.70/1.32  % (3001996)Time elapsed: 0.095 s
% 2.70/1.32  % (3001996)Peak memory usage: 89 MB
% 2.70/1.32  % (3001996)Instructions burned: 139 (million)
% 2.70/1.32  % (3001994)------------------------------
% 2.70/1.32  % (3001994)------------------------------
% 2.70/1.32  % (3002006)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2799935729:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.70/1.32  % (3001997)Refutation found. Thanks to Tanya!
% 2.70/1.32  % SZS status Theorem for theBenchmark
% 2.70/1.32  % SZS output start Proof for theBenchmark
% See solution above
% 3.69/1.51  % (3001997)------------------------------
% 3.69/1.51  % (3001997)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.69/1.51  % (3001997)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.69/1.51  % (3001997)CaDiCaL version: 2.1.3
% 3.69/1.51  % (3001997)Termination reason: Refutation
% 3.69/1.51  % (3001997)Time elapsed: 0.007 s
% 3.69/1.51  % (3001997)Peak memory usage: 89 MB
% 3.69/1.51  % (3001997)Instructions burned: 8 (million)
% 3.69/1.51  % (3001997)------------------------------
% 3.69/1.51  % (3001997)------------------------------
% 3.69/1.51  % (3001986)Success in time 0.433 s
% 3.69/1.51  % Vampire exiting
%------------------------------------------------------------------------------