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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : LAT286+4 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n014.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 11:46:32 AM UTC 2026

% Result   : Theorem 17.29s 6.08s
% Output   : Refutation 20.07s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   72 (  15 unt;   4 def)
%            Number of atoms       :  211 (   4 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  230 (  91   ~; 102   |;  23   &)
%                                         (   7 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :   12 (  10 usr;   5 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   1 con; 0-1 aty)
%            Number of variables   :   37 (   0 sgn  35   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f471,axiom,
    ! [X0] : ~ v1_xboole_0(k1_zfmisc_1(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_subset_1) ).

fof(f556,axiom,
    ! [X0,X1] :
      ( ( ~ v1_xboole_0(X0)
        & ~ v1_xboole_0(X1)
        & m1_subset_1(X1,k1_zfmisc_1(X0)) )
     => ! [X2] :
          ( m2_subset_1(X2,X0,X1)
        <=> m1_subset_1(X2,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_subset_1) ).

fof(f32098,axiom,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & l1_pre_topc(X0) )
     => m1_subset_1(k1_lopclset(X0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0)))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_lopclset) ).

fof(f32120,axiom,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & v2_pre_topc(X0)
        & l1_pre_topc(X0) )
     => ~ v1_xboole_0(k1_lopclset(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_lopclset) ).

fof(f32130,axiom,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & v2_pre_topc(X0)
        & l1_pre_topc(X0) )
     => m2_subset_1(k2_pre_topc(X0),k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_lopclset) ).

fof(f32136,axiom,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & v2_pre_topc(X0)
        & l1_pre_topc(X0) )
     => u1_struct_0(k6_lopclset(X0)) = k1_lopclset(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_lopclset) ).

fof(f32138,conjecture,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & v2_pre_topc(X0)
        & l1_pre_topc(X0) )
     => m1_subset_1(k2_pre_topc(X0),u1_struct_0(k6_lopclset(X0))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t15_lopclset) ).

fof(f32139,negated_conjecture,
    ~ ! [X0] :
        ( ( ~ v3_struct_0(X0)
          & v2_pre_topc(X0)
          & l1_pre_topc(X0) )
       => m1_subset_1(k2_pre_topc(X0),u1_struct_0(k6_lopclset(X0))) ),
    inference(negated_conjecture,[status(cth)],[f32138]) ).

fof(f32200,plain,
    ! [X0] :
      ( m1_subset_1(k1_lopclset(X0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))))
      | v3_struct_0(X0)
      | ~ l1_pre_topc(X0) ),
    inference(ennf_transformation,[],[f32098]) ).

fof(f32201,plain,
    ! [X0] :
      ( m1_subset_1(k1_lopclset(X0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))))
      | v3_struct_0(X0)
      | ~ l1_pre_topc(X0) ),
    inference(flattening,[],[f32200]) ).

fof(f32242,plain,
    ! [X0] :
      ( ~ v1_xboole_0(k1_lopclset(X0))
      | v3_struct_0(X0)
      | ~ v2_pre_topc(X0)
      | ~ l1_pre_topc(X0) ),
    inference(ennf_transformation,[],[f32120]) ).

fof(f32243,plain,
    ! [X0] :
      ( ~ v1_xboole_0(k1_lopclset(X0))
      | v3_struct_0(X0)
      | ~ v2_pre_topc(X0)
      | ~ l1_pre_topc(X0) ),
    inference(flattening,[],[f32242]) ).

fof(f32260,plain,
    ! [X0] :
      ( m2_subset_1(k2_pre_topc(X0),k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0))
      | v3_struct_0(X0)
      | ~ v2_pre_topc(X0)
      | ~ l1_pre_topc(X0) ),
    inference(ennf_transformation,[],[f32130]) ).

fof(f32261,plain,
    ! [X0] :
      ( m2_subset_1(k2_pre_topc(X0),k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0))
      | v3_struct_0(X0)
      | ~ v2_pre_topc(X0)
      | ~ l1_pre_topc(X0) ),
    inference(flattening,[],[f32260]) ).

fof(f32272,plain,
    ! [X0] :
      ( u1_struct_0(k6_lopclset(X0)) = k1_lopclset(X0)
      | v3_struct_0(X0)
      | ~ v2_pre_topc(X0)
      | ~ l1_pre_topc(X0) ),
    inference(ennf_transformation,[],[f32136]) ).

fof(f32273,plain,
    ! [X0] :
      ( u1_struct_0(k6_lopclset(X0)) = k1_lopclset(X0)
      | v3_struct_0(X0)
      | ~ v2_pre_topc(X0)
      | ~ l1_pre_topc(X0) ),
    inference(flattening,[],[f32272]) ).

fof(f32276,plain,
    ? [X0] :
      ( ~ m1_subset_1(k2_pre_topc(X0),u1_struct_0(k6_lopclset(X0)))
      & ~ v3_struct_0(X0)
      & v2_pre_topc(X0)
      & l1_pre_topc(X0) ),
    inference(ennf_transformation,[],[f32139]) ).

fof(f32277,plain,
    ? [X0] :
      ( ~ m1_subset_1(k2_pre_topc(X0),u1_struct_0(k6_lopclset(X0)))
      & ~ v3_struct_0(X0)
      & v2_pre_topc(X0)
      & l1_pre_topc(X0) ),
    inference(flattening,[],[f32276]) ).

fof(f32373,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( m2_subset_1(X2,X0,X1)
        <=> m1_subset_1(X2,X1) )
      | v1_xboole_0(X0)
      | v1_xboole_0(X1)
      | ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
    inference(ennf_transformation,[],[f556]) ).

fof(f32374,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( m2_subset_1(X2,X0,X1)
        <=> m1_subset_1(X2,X1) )
      | v1_xboole_0(X0)
      | v1_xboole_0(X1)
      | ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
    inference(flattening,[],[f32373]) ).

fof(f32646,plain,
    ( ~ m1_subset_1(k2_pre_topc(sK5),u1_struct_0(k6_lopclset(sK5)))
    & ~ v3_struct_0(sK5)
    & v2_pre_topc(sK5)
    & l1_pre_topc(sK5) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X0,sK5)],[f32277]) ).

fof(f32696,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( m2_subset_1(X2,X0,X1)
            | ~ m1_subset_1(X2,X1) )
          & ( m1_subset_1(X2,X1)
            | ~ m2_subset_1(X2,X0,X1) ) )
      | v1_xboole_0(X0)
      | v1_xboole_0(X1)
      | ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
    inference(nnf_transformation,[],[f32374]) ).

fof(f32799,plain,
    ! [X0] :
      ( m1_subset_1(k1_lopclset(X0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))))
      | v3_struct_0(X0)
      | ~ l1_pre_topc(X0) ),
    inference(cnf_transformation,[],[f32201]) ).

fof(f32833,plain,
    ! [X0] :
      ( ~ v1_xboole_0(k1_lopclset(X0))
      | v3_struct_0(X0)
      | ~ v2_pre_topc(X0)
      | ~ l1_pre_topc(X0) ),
    inference(cnf_transformation,[],[f32243]) ).

fof(f32848,plain,
    ! [X0] :
      ( m2_subset_1(k2_pre_topc(X0),k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0))
      | v3_struct_0(X0)
      | ~ v2_pre_topc(X0)
      | ~ l1_pre_topc(X0) ),
    inference(cnf_transformation,[],[f32261]) ).

fof(f32856,plain,
    ! [X0] :
      ( k1_lopclset(X0) = u1_struct_0(k6_lopclset(X0))
      | v3_struct_0(X0)
      | ~ v2_pre_topc(X0)
      | ~ l1_pre_topc(X0) ),
    inference(cnf_transformation,[],[f32273]) ).

fof(f32858,plain,
    l1_pre_topc(sK5),
    inference(cnf_transformation,[],[f32646]) ).

fof(f32859,plain,
    v2_pre_topc(sK5),
    inference(cnf_transformation,[],[f32646]) ).

fof(f32860,plain,
    ~ v3_struct_0(sK5),
    inference(cnf_transformation,[],[f32646]) ).

fof(f32861,plain,
    ~ m1_subset_1(k2_pre_topc(sK5),u1_struct_0(k6_lopclset(sK5))),
    inference(cnf_transformation,[],[f32646]) ).

fof(f32893,plain,
    ! [X0] : ~ v1_xboole_0(k1_zfmisc_1(X0)),
    inference(cnf_transformation,[],[f471]) ).

fof(f32989,plain,
    ! [X2,X0,X1] :
      ( m1_subset_1(X2,X1)
      | ~ m2_subset_1(X2,X0,X1)
      | v1_xboole_0(X0)
      | v1_xboole_0(X1)
      | ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
    inference(cnf_transformation,[],[f32696]) ).

fof(f33518,definition,
    ( spl121_1
  <=> m1_subset_1(k2_pre_topc(sK5),u1_struct_0(k6_lopclset(sK5))) ),
    introduced(definition,[new_symbols(definition,[spl121_1])],[avatar_definition]) ).

fof(f33520,plain,
    ( ~ m1_subset_1(k2_pre_topc(sK5),u1_struct_0(k6_lopclset(sK5)))
    | spl121_1 ),
    inference(avatar_component_clause,[],[f33518]) ).

fof(f33521,plain,
    ~ spl121_1,
    inference(avatar_split_clause,[],[f32861,f33518]) ).

fof(f33529,plain,
    ( ~ m1_subset_1(k2_pre_topc(sK5),k1_lopclset(sK5))
    | v3_struct_0(sK5)
    | ~ v2_pre_topc(sK5)
    | ~ l1_pre_topc(sK5)
    | spl121_1 ),
    inference(superposition,[],[f33520,f32856]) ).

fof(f33531,plain,
    ( ~ m1_subset_1(k2_pre_topc(sK5),k1_lopclset(sK5))
    | ~ v2_pre_topc(sK5)
    | ~ l1_pre_topc(sK5)
    | spl121_1 ),
    inference(forward_subsumption_resolution,[],[f33529,f32860]) ).

fof(f33534,plain,
    ( ~ m1_subset_1(k2_pre_topc(sK5),k1_lopclset(sK5))
    | ~ l1_pre_topc(sK5)
    | spl121_1 ),
    inference(forward_subsumption_resolution,[],[f33531,f32859]) ).

fof(f33535,plain,
    ( ~ m1_subset_1(k2_pre_topc(sK5),k1_lopclset(sK5))
    | spl121_1 ),
    inference(forward_subsumption_resolution,[],[f33534,f32858]) ).

fof(f33537,definition,
    ( spl121_2
  <=> v3_struct_0(sK5) ),
    introduced(definition,[new_symbols(definition,[spl121_2])],[avatar_definition]) ).

fof(f33539,plain,
    ( ~ v3_struct_0(sK5)
    | spl121_2 ),
    inference(avatar_component_clause,[],[f33537]) ).

fof(f33540,plain,
    ~ spl121_2,
    inference(avatar_split_clause,[],[f32860,f33537]) ).

fof(f33545,plain,
    ( m1_subset_1(k1_lopclset(sK5),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK5))))
    | ~ l1_pre_topc(sK5)
    | spl121_2 ),
    inference(resolution,[],[f33539,f32799]) ).

fof(f33577,plain,
    ( ~ v1_xboole_0(k1_lopclset(sK5))
    | ~ v2_pre_topc(sK5)
    | ~ l1_pre_topc(sK5)
    | spl121_2 ),
    inference(resolution,[],[f33539,f32833]) ).

fof(f33588,plain,
    ( m2_subset_1(k2_pre_topc(sK5),k1_zfmisc_1(u1_struct_0(sK5)),k1_lopclset(sK5))
    | ~ v2_pre_topc(sK5)
    | ~ l1_pre_topc(sK5)
    | spl121_2 ),
    inference(resolution,[],[f33539,f32848]) ).

fof(f33825,plain,
    ( m2_subset_1(k2_pre_topc(sK5),k1_zfmisc_1(u1_struct_0(sK5)),k1_lopclset(sK5))
    | ~ l1_pre_topc(sK5)
    | spl121_2 ),
    inference(forward_subsumption_resolution,[],[f33588,f32859]) ).

fof(f33836,plain,
    ( ~ v1_xboole_0(k1_lopclset(sK5))
    | ~ l1_pre_topc(sK5)
    | spl121_2 ),
    inference(forward_subsumption_resolution,[],[f33577,f32859]) ).

fof(f33853,plain,
    ( m1_subset_1(k1_lopclset(sK5),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK5))))
    | spl121_2 ),
    inference(forward_subsumption_resolution,[],[f33545,f32858]) ).

fof(f33894,plain,
    ( m2_subset_1(k2_pre_topc(sK5),k1_zfmisc_1(u1_struct_0(sK5)),k1_lopclset(sK5))
    | spl121_2 ),
    inference(forward_subsumption_resolution,[],[f33825,f32858]) ).

fof(f33905,plain,
    ( ~ v1_xboole_0(k1_lopclset(sK5))
    | spl121_2 ),
    inference(forward_subsumption_resolution,[],[f33836,f32858]) ).

fof(f34423,definition,
    ( spl121_6
  <=> m1_subset_1(k2_pre_topc(sK5),k1_lopclset(sK5)) ),
    introduced(definition,[new_symbols(definition,[spl121_6])],[avatar_definition]) ).

fof(f34425,plain,
    ( ~ m1_subset_1(k2_pre_topc(sK5),k1_lopclset(sK5))
    | spl121_6 ),
    inference(avatar_component_clause,[],[f34423]) ).

fof(f34426,plain,
    ( ~ spl121_6
    | spl121_1 ),
    inference(avatar_split_clause,[],[f33535,f33518,f34423]) ).

fof(f39140,definition,
    ( spl121_29
  <=> m2_subset_1(k2_pre_topc(sK5),k1_zfmisc_1(u1_struct_0(sK5)),k1_lopclset(sK5)) ),
    introduced(definition,[new_symbols(definition,[spl121_29])],[avatar_definition]) ).

fof(f39142,plain,
    ( m2_subset_1(k2_pre_topc(sK5),k1_zfmisc_1(u1_struct_0(sK5)),k1_lopclset(sK5))
    | ~ spl121_29 ),
    inference(avatar_component_clause,[],[f39140]) ).

fof(f39143,plain,
    ( spl121_29
    | spl121_2 ),
    inference(avatar_split_clause,[],[f33894,f33537,f39140]) ).

fof(f39154,plain,
    ( m1_subset_1(k2_pre_topc(sK5),k1_lopclset(sK5))
    | v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK5)))
    | v1_xboole_0(k1_lopclset(sK5))
    | ~ m1_subset_1(k1_lopclset(sK5),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK5))))
    | ~ spl121_29 ),
    inference(resolution,[],[f39142,f32989]) ).

fof(f39158,plain,
    ( v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK5)))
    | v1_xboole_0(k1_lopclset(sK5))
    | ~ m1_subset_1(k1_lopclset(sK5),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK5))))
    | spl121_6
    | ~ spl121_29 ),
    inference(forward_subsumption_resolution,[],[f39154,f34425]) ).

fof(f39169,plain,
    ( v1_xboole_0(k1_lopclset(sK5))
    | ~ m1_subset_1(k1_lopclset(sK5),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK5))))
    | spl121_6
    | ~ spl121_29 ),
    inference(forward_subsumption_resolution,[],[f39158,f32893]) ).

fof(f39180,plain,
    ( ~ m1_subset_1(k1_lopclset(sK5),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK5))))
    | spl121_2
    | spl121_6
    | ~ spl121_29 ),
    inference(forward_subsumption_resolution,[],[f39169,f33905]) ).

fof(f39191,plain,
    ( $false
    | spl121_2
    | spl121_6
    | ~ spl121_29 ),
    inference(forward_subsumption_resolution,[],[f39180,f33853]) ).

fof(f39192,plain,
    ( spl121_2
    | spl121_6
    | ~ spl121_29 ),
    inference(avatar_contradiction_clause,[],[f39191]) ).

cnf(s1,plain,
    ~ spl121_1,
    inference(sat_conversion,[],[f33521]) ).

cnf(s2,plain,
    ~ spl121_2,
    inference(sat_conversion,[],[f33540]) ).

cnf(s6,plain,
    ( spl121_1
    | ~ spl121_6 ),
    inference(sat_conversion,[],[f34426]) ).

cnf(s29,plain,
    ( spl121_2
    | spl121_29 ),
    inference(sat_conversion,[],[f39143]) ).

cnf(s30,plain,
    ( spl121_2
    | spl121_6
    | ~ spl121_29 ),
    inference(sat_conversion,[],[f39192]) ).

cnf(s38,plain,
    spl121_29,
    inference(rat,[],[s29,s2]) ).

cnf(s53,plain,
    spl121_6,
    inference(rat,[],[s30,s2,s38]) ).

cnf(s56,plain,
    spl121_1,
    inference(rat,[],[s6,s53]) ).

cnf(s57,plain,
    $false,
    inference(rat,[],[s1,s56]) ).

fof(f39221,plain,
    $false,
    inference(avatar_sat_refutation,[],[s57]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : LAT286+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.10  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.24/0.49  % Computer : n014.cluster.edu
% 0.24/0.49  % Model    : x86_64 x86_64
% 0.24/0.49  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.24/0.49  % Memory   : 8046.5625MB
% 0.24/0.49  % OS       : Linux 6.8.0-71-generic
% 0.24/0.49  % CPULimit : 300
% 0.24/0.49  % WCLimit  : 300
% 0.24/0.49  % DateTime : Sun Sep 27 14:15:22 UTC 2026
% 0.24/0.49  % CPUTime  : 
% 0.24/0.49  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.24/0.55  Running first-order theorem proving
% 0.24/0.55  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
% 17.29/6.08  % (856810)Detected formulas, will run a generic FOF schedule.
% 17.29/6.08  % (856815)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=1975593943:i=141193_2976 on theBenchmark for (2976ds/141193Mi)
% 17.29/6.08  % (856820)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1466779769:s2a=on:i=139:gtg=position_2976 on theBenchmark for (2976ds/139Mi)
% 17.29/6.08  % (856819)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3394938643:i=119:av=off:ss=axioms_2976 on theBenchmark for (2976ds/119Mi)
% 17.29/6.08  % (856817)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=1230739383:i=141695:sd=1:nm=32:gsp=on:ss=included_2976 on theBenchmark for (2976ds/141695Mi)
% 17.29/6.08  % (856818)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1113921458:i=109:sd=1:ins=1:gsp=on:ss=axioms_2976 on theBenchmark for (2976ds/109Mi)
% 17.29/6.08  % (856816)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=3591346260:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2976 on theBenchmark for (2976ds/134677Mi)
% 17.29/6.08  % (856820)Instruction limit reached! 
% 17.29/6.08  % (856820)------------------------------
% 17.29/6.08  % (856820)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.29/6.08  % (856820)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.29/6.08  % (856820)CaDiCaL version: 2.1.3
% 17.29/6.08  % (856820)Termination reason: Instruction limit
% 17.29/6.08  % (856820)Termination phase: Property scanning
% 17.29/6.08  % (856820)Time elapsed: 0.064 s
% 17.29/6.08  % (856820)Peak memory usage: 131 MB
% 17.29/6.08  % (856820)Instructions burned: 140 (million)
% 17.29/6.08  % (856821)dis-21_1_sil=8000:lcm=predicate:random_seed=918202122:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2976 on theBenchmark for (2976ds/129Mi)
% 17.29/6.08  % (856819)Instruction limit reached! 
% 17.29/6.08  % (856819)------------------------------
% 17.29/6.08  % (856819)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.29/6.08  % (856819)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.29/6.08  % (856819)CaDiCaL version: 2.1.3
% 17.29/6.08  % (856819)Termination reason: Instruction limit
% 17.29/6.08  % (856819)Termination phase: SInE selection
% 17.29/6.08  % (856819)Time elapsed: 0.105 s
% 17.29/6.08  % (856819)Peak memory usage: 131 MB
% 17.29/6.08  % (856819)Instructions burned: 120 (million)
% 17.29/6.08  % (856818)Instruction limit reached! 
% 17.29/6.08  % (856818)------------------------------
% 17.29/6.08  % (856818)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.29/6.08  % (856818)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.29/6.08  % (856818)CaDiCaL version: 2.1.3
% 17.29/6.08  % (856818)Termination reason: Instruction limit
% 17.29/6.08  % (856818)Termination phase: SInE selection
% 17.29/6.08  % (856818)Time elapsed: 0.116 s
% 17.29/6.08  % (856818)Peak memory usage: 131 MB
% 17.29/6.08  % (856818)Instructions burned: 110 (million)
% 17.29/6.08  % (856828)lrs+10_1_sil=8000:sp=occurrence:random_seed=4284569243:i=285:sd=3:ss=axioms:sgt=8_2973 on theBenchmark for (2973ds/285Mi)
% 17.29/6.08  % (856821)Instruction limit reached! 
% 17.29/6.08  % (856821)------------------------------
% 17.29/6.08  % (856821)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.29/6.08  % (856821)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.29/6.08  % (856821)CaDiCaL version: 2.1.3
% 17.29/6.08  % (856821)Termination reason: Instruction limit
% 17.29/6.08  % (856821)Termination phase: SInE selection
% 17.29/6.08  % (856821)Time elapsed: 0.136 s
% 17.29/6.08  % (856821)Peak memory usage: 131 MB
% 17.29/6.08  % (856821)Instructions burned: 129 (million)
% 17.29/6.08  % (856830)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2168867189:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2972 on theBenchmark for (2972ds/157Mi)
% 17.29/6.08  % (856831)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1483174012:i=325:sd=1:ss=axioms:sgt=32_2972 on theBenchmark for (2972ds/325Mi)
% 17.29/6.08  % (856833)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=1903236269:s2a=on:i=248:s2at=1.23:gtg=position_2971 on theBenchmark for (2971ds/248Mi)
% 17.29/6.08  % (856828)Instruction limit reached! 
% 17.29/6.08  % (856828)------------------------------
% 17.29/6.08  % (856828)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.29/6.08  % (856828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.29/6.08  % (856828)CaDiCaL version: 2.1.3
% 17.29/6.08  % (856828)Termination reason: Instruction limit
% 17.29/6.08  % (856828)Termination phase: Saturation
% 17.29/6.08  % (856828)Time elapsed: 0.244 s
% 17.29/6.08  % (856828)Peak memory usage: 137 MB
% 17.29/6.08  % (856828)Instructions burned: 285 (million)
% 17.29/6.08  % (856830)Instruction limit reached! 
% 17.29/6.08  % (856830)------------------------------
% 17.29/6.08  % (856830)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.29/6.08  % (856830)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.29/6.08  % (856830)CaDiCaL version: 2.1.3
% 17.29/6.08  % (856830)Termination reason: Instruction limit
% 17.29/6.08  % (856830)Termination phase: Property scanning
% 17.29/6.08  % (856830)Time elapsed: 0.129 s
% 17.29/6.08  % (856830)Peak memory usage: 131 MB
% 17.29/6.08  % (856830)Instructions burned: 157 (million)
% 17.29/6.08  % (856833)Instruction limit reached! 
% 17.29/6.08  % (856833)------------------------------
% 17.29/6.08  % (856833)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.29/6.08  % (856833)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.29/6.08  % (856833)CaDiCaL version: 2.1.3
% 17.29/6.08  % (856833)Termination reason: Instruction limit
% 17.29/6.08  % (856833)Termination phase: Property scanning
% 17.29/6.08  % (856833)Time elapsed: 0.106 s
% 17.29/6.08  % (856833)Peak memory usage: 132 MB
% 17.29/6.08  % (856833)Instructions burned: 249 (million)
% 17.29/6.08  % (856831)Refutation not found, incomplete strategy
% 17.29/6.08  % (856831)------------------------------
% 17.29/6.08  % (856831)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.29/6.08  % (856831)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.29/6.08  % (856831)CaDiCaL version: 2.1.3
% 17.29/6.08  % (856831)Termination reason: Refutation not found, incomplete strategy
% 17.29/6.08  % (856831)Time elapsed: 0.184 s
% 17.29/6.08  % (856831)Peak memory usage: 137 MB
% 17.29/6.08  % (856831)Instructions burned: 219 (million)
% 17.29/6.08  % (856837)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1280427761:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2968 on theBenchmark for (2968ds/294Mi)
% 17.29/6.08  % (856838)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2404685137:i=2350_2968 on theBenchmark for (2968ds/2350Mi)
% 17.29/6.08  % (856839)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=986242608:cts=off:i=113:fsr=off:ss=included:sgt=4_2968 on theBenchmark for (2968ds/113Mi)
% 17.29/6.08  % (856839)Instruction limit reached! 
% 17.29/6.08  % (856839)------------------------------
% 17.29/6.08  % (856839)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.29/6.08  % (856839)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.29/6.08  % (856839)CaDiCaL version: 2.1.3
% 17.29/6.08  % (856839)Termination reason: Instruction limit
% 17.29/6.08  % (856839)Termination phase: SInE selection
% 17.29/6.08  % (856839)Time elapsed: 0.084 s
% 17.29/6.08  % (856839)Peak memory usage: 131 MB
% 17.29/6.08  % (856839)Instructions burned: 114 (million)
% 17.29/6.08  % (856837)Instruction limit reached! 
% 17.29/6.08  % (856837)------------------------------
% 17.29/6.08  % (856837)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.29/6.08  % (856837)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.29/6.08  % (856837)CaDiCaL version: 2.1.3
% 17.29/6.08  % (856837)Termination reason: Instruction limit
% 17.29/6.08  % (856837)Termination phase: SInE selection
% 17.29/6.08  % (856837)Time elapsed: 0.178 s
% 17.29/6.08  % (856837)Peak memory usage: 132 MB
% 17.29/6.08  % (856837)Instructions burned: 295 (million)
% 17.29/6.08  % (856831)------------------------------
% 17.29/6.08  % (856831)------------------------------
% 17.29/6.08  % (856843)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3419827369:i=127:av=off:fsr=off:sup=off_2965 on theBenchmark for (2965ds/127Mi)
% 17.29/6.08  % (856844)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3607341221:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2965 on theBenchmark for (2965ds/114Mi)
% 17.29/6.08  % (856843)Instruction limit reached! 
% 17.29/6.08  % (856843)------------------------------
% 17.29/6.08  % (856843)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.29/6.08  % (856843)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.29/6.08  % (856843)CaDiCaL version: 2.1.3
% 17.29/6.08  % (856843)Termination reason: Instruction limit
% 17.29/6.08  % (856843)Termination phase: Preprocessing 1
% 17.29/6.08  % (856843)Time elapsed: 0.096 s
% 17.29/6.08  % (856843)Peak memory usage: 132 MB
% 17.29/6.08  % (856843)Instructions burned: 127 (million)
% 17.29/6.08  % (856845)lrs+10_1_sil=8000:sp=occurrence:random_seed=131154455:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2964 on theBenchmark for (2964ds/907Mi)
% 17.29/6.08  % (856844)Instruction limit reached! 
% 17.29/6.08  % (856844)------------------------------
% 17.29/6.08  % (856844)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.29/6.08  % (856844)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.29/6.08  % (856844)CaDiCaL version: 2.1.3
% 17.29/6.08  % (856844)Termination reason: Instruction limit
% 17.29/6.08  % (856844)Termination phase: Property scanning
% 17.29/6.08  % (856844)Time elapsed: 0.051 s
% 17.29/6.08  % (856844)Peak memory usage: 131 MB
% 17.29/6.08  % (856844)Instructions burned: 115 (million)
% 17.29/6.08  % (856849)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3686023428:i=437:sd=1:aac=none:ss=included_2963 on theBenchmark for (2963ds/437Mi)
% 17.29/6.08  % (856850)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=4090688461:i=5202:ss=axioms:sgt=16_2963 on theBenchmark for (2963ds/5202Mi)
% 17.29/6.08  % (856849)Refutation not found, incomplete strategy
% 17.29/6.08  % (856849)------------------------------
% 17.29/6.08  % (856849)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.29/6.08  % (856849)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.29/6.08  % (856849)CaDiCaL version: 2.1.3
% 17.29/6.08  % (856849)Termination reason: Refutation not found, incomplete strategy
% 17.29/6.08  % (856849)Time elapsed: 0.196 s
% 17.29/6.08  % (856849)Peak memory usage: 137 MB
% 17.29/6.08  % (856849)Instructions burned: 264 (million)
% 17.29/6.08  % (856845)Instruction limit reached! 
% 17.29/6.08  % (856845)------------------------------
% 17.29/6.08  % (856845)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.29/6.08  % (856845)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.29/6.08  % (856845)CaDiCaL version: 2.1.3
% 17.29/6.08  % (856845)Termination reason: Instruction limit
% 17.29/6.08  % (856845)Termination phase: Property scanning
% 17.29/6.08  % (856845)Time elapsed: 0.562 s
% 17.29/6.08  % (856845)Peak memory usage: 152 MB
% 17.29/6.08  % (856845)Instructions burned: 908 (million)
% 17.29/6.08  % (856849)------------------------------
% 17.29/6.08  % (856849)------------------------------
% 17.29/6.08  % (856817)First to succeed.
% 17.29/6.08  % (856817)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-856810"
% 17.29/6.08  % (856853)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2278522408:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2957 on theBenchmark for (2957ds/134Mi)
% 17.29/6.08  % (856854)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1385636215:st=8:i=592:sd=3:ep=RST:ss=axioms_2956 on theBenchmark for (2956ds/592Mi)
% 17.29/6.08  % (856853)Instruction limit reached! 
% 17.29/6.08  % (856853)------------------------------
% 17.29/6.08  % (856853)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.29/6.08  % (856853)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.29/6.08  % (856853)CaDiCaL version: 2.1.3
% 17.29/6.08  % (856853)Termination reason: Instruction limit
% 17.29/6.08  % (856853)Termination phase: SInE selection
% 17.29/6.08  % (856853)Time elapsed: 0.104 s
% 17.29/6.08  % (856853)Peak memory usage: 131 MB
% 17.29/6.08  % (856853)Instructions burned: 135 (million)
% 17.29/6.08  % (856857)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2782983381:st=3:i=13193:sd=3:ss=axioms_2954 on theBenchmark for (2954ds/13193Mi)
% 17.29/6.08  % (856817)Refutation found. Thanks to Tanya!
% 17.29/6.08  % SZS status Theorem for theBenchmark
% 17.29/6.08  % SZS output start Proof for theBenchmark
% See solution above
% 20.07/6.33  % (856817)------------------------------
% 20.07/6.33  % (856817)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.07/6.33  % (856817)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.07/6.33  % (856817)CaDiCaL version: 2.1.3
% 20.07/6.33  % (856817)Termination reason: Refutation
% 20.07/6.33  % (856817)Time elapsed: 1.798 s
% 20.07/6.33  % (856817)Peak memory usage: 197 MB
% 20.07/6.33  % (856817)Instructions burned: 2434 (million)
% 20.07/6.33  % (856817)------------------------------
% 20.07/6.33  % (856817)------------------------------
% 20.07/6.33  % (856810)Success in time 4.76 s
% 20.07/6.33  % Vampire exiting
%------------------------------------------------------------------------------