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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : LAT287+3 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/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 11:46:33 AM UTC 2026

% Result   : Theorem 13.38s 4.04s
% Output   : Refutation 18.45s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   72 (  15 unt;   4 def)
%            Number of atoms       :  216 (   4 equ)
%            Maximal formula atoms :    7 (   3 avg)
%            Number of connectives :  235 (  91   ~; 107   |;  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/sandbox/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/sandbox/benchmark/theBenchmark.p',redefinition_m2_subset_1) ).

fof(f12331,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/sandbox/benchmark/theBenchmark.p',dt_k1_lopclset) ).

fof(f12353,axiom,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & v2_pre_topc(X0)
        & l1_pre_topc(X0) )
     => ~ v1_xboole_0(k1_lopclset(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_lopclset) ).

fof(f12362,axiom,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & v2_pre_topc(X0)
        & l1_pre_topc(X0) )
     => m2_subset_1(k1_pre_topc(X0),k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_lopclset) ).

fof(f12369,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/sandbox/benchmark/theBenchmark.p',t13_lopclset) ).

fof(f12372,conjecture,
    ! [X0] :
      ( ( ~ v3_struct_0(X0)
        & v2_pre_topc(X0)
        & l1_pre_topc(X0) )
     => m1_subset_1(k1_pre_topc(X0),u1_struct_0(k6_lopclset(X0))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t16_lopclset) ).

fof(f12373,negated_conjecture,
    ~ ! [X0] :
        ( ( ~ v3_struct_0(X0)
          & v2_pre_topc(X0)
          & l1_pre_topc(X0) )
       => m1_subset_1(k1_pre_topc(X0),u1_struct_0(k6_lopclset(X0))) ),
    inference(negated_conjecture,[status(cth)],[f12372]) ).

fof(f12434,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,[],[f12331]) ).

fof(f12435,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,[],[f12434]) ).

fof(f12476,plain,
    ! [X0] :
      ( ~ v1_xboole_0(k1_lopclset(X0))
      | v3_struct_0(X0)
      | ~ v2_pre_topc(X0)
      | ~ l1_pre_topc(X0) ),
    inference(ennf_transformation,[],[f12353]) ).

fof(f12477,plain,
    ! [X0] :
      ( ~ v1_xboole_0(k1_lopclset(X0))
      | v3_struct_0(X0)
      | ~ v2_pre_topc(X0)
      | ~ l1_pre_topc(X0) ),
    inference(flattening,[],[f12476]) ).

fof(f12492,plain,
    ! [X0] :
      ( m2_subset_1(k1_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,[],[f12362]) ).

fof(f12493,plain,
    ! [X0] :
      ( m2_subset_1(k1_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,[],[f12492]) ).

fof(f12506,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,[],[f12369]) ).

fof(f12507,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,[],[f12506]) ).

fof(f12512,plain,
    ? [X0] :
      ( ~ m1_subset_1(k1_pre_topc(X0),u1_struct_0(k6_lopclset(X0)))
      & ~ v3_struct_0(X0)
      & v2_pre_topc(X0)
      & l1_pre_topc(X0) ),
    inference(ennf_transformation,[],[f12373]) ).

fof(f12513,plain,
    ? [X0] :
      ( ~ m1_subset_1(k1_pre_topc(X0),u1_struct_0(k6_lopclset(X0)))
      & ~ v3_struct_0(X0)
      & v2_pre_topc(X0)
      & l1_pre_topc(X0) ),
    inference(flattening,[],[f12512]) ).

fof(f12556,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(f12557,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,[],[f12556]) ).

fof(f12801,plain,
    ( ~ m1_subset_1(k1_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)],[f12513]) ).

fof(f12829,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,[],[f12557]) ).

fof(f12925,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,[],[f12435]) ).

fof(f12958,plain,
    ! [X0] :
      ( ~ v1_xboole_0(k1_lopclset(X0))
      | v3_struct_0(X0)
      | ~ v2_pre_topc(X0)
      | ~ l1_pre_topc(X0) ),
    inference(cnf_transformation,[],[f12477]) ).

fof(f12972,plain,
    ! [X0] :
      ( m2_subset_1(k1_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,[],[f12493]) ).

fof(f12981,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,[],[f12507]) ).

fof(f12984,plain,
    l1_pre_topc(sK5),
    inference(cnf_transformation,[],[f12801]) ).

fof(f12985,plain,
    v2_pre_topc(sK5),
    inference(cnf_transformation,[],[f12801]) ).

fof(f12986,plain,
    ~ v3_struct_0(sK5),
    inference(cnf_transformation,[],[f12801]) ).

fof(f12987,plain,
    ~ m1_subset_1(k1_pre_topc(sK5),u1_struct_0(k6_lopclset(sK5))),
    inference(cnf_transformation,[],[f12801]) ).

fof(f13013,plain,
    ! [X0] : ~ v1_xboole_0(k1_zfmisc_1(X0)),
    inference(cnf_transformation,[],[f471]) ).

fof(f13052,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,[],[f12829]) ).

fof(f13462,definition,
    ( spl90_1
  <=> m1_subset_1(k1_pre_topc(sK5),u1_struct_0(k6_lopclset(sK5))) ),
    introduced(definition,[new_symbols(definition,[spl90_1])],[avatar_definition]) ).

fof(f13464,plain,
    ( ~ m1_subset_1(k1_pre_topc(sK5),u1_struct_0(k6_lopclset(sK5)))
    | spl90_1 ),
    inference(avatar_component_clause,[],[f13462]) ).

fof(f13465,plain,
    ~ spl90_1,
    inference(avatar_split_clause,[],[f12987,f13462]) ).

fof(f13467,definition,
    ( spl90_2
  <=> v3_struct_0(sK5) ),
    introduced(definition,[new_symbols(definition,[spl90_2])],[avatar_definition]) ).

fof(f13469,plain,
    ( ~ v3_struct_0(sK5)
    | spl90_2 ),
    inference(avatar_component_clause,[],[f13467]) ).

fof(f13470,plain,
    ~ spl90_2,
    inference(avatar_split_clause,[],[f12986,f13467]) ).

fof(f13481,plain,
    ( ~ m1_subset_1(k1_pre_topc(sK5),k1_lopclset(sK5))
    | v3_struct_0(sK5)
    | ~ v2_pre_topc(sK5)
    | ~ l1_pre_topc(sK5)
    | spl90_1 ),
    inference(superposition,[],[f13464,f12981]) ).

fof(f13483,plain,
    ( ~ m1_subset_1(k1_pre_topc(sK5),k1_lopclset(sK5))
    | ~ v2_pre_topc(sK5)
    | ~ l1_pre_topc(sK5)
    | spl90_1
    | spl90_2 ),
    inference(forward_subsumption_resolution,[],[f13481,f13469]) ).

fof(f13488,plain,
    ( ~ m1_subset_1(k1_pre_topc(sK5),k1_lopclset(sK5))
    | ~ l1_pre_topc(sK5)
    | spl90_1
    | spl90_2 ),
    inference(forward_subsumption_resolution,[],[f13483,f12985]) ).

fof(f13489,plain,
    ( ~ m1_subset_1(k1_pre_topc(sK5),k1_lopclset(sK5))
    | spl90_1
    | spl90_2 ),
    inference(forward_subsumption_resolution,[],[f13488,f12984]) ).

fof(f13494,plain,
    ( m1_subset_1(k1_lopclset(sK5),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK5))))
    | ~ l1_pre_topc(sK5)
    | spl90_2 ),
    inference(resolution,[],[f13469,f12925]) ).

fof(f13525,plain,
    ( ~ v1_xboole_0(k1_lopclset(sK5))
    | ~ v2_pre_topc(sK5)
    | ~ l1_pre_topc(sK5)
    | spl90_2 ),
    inference(resolution,[],[f13469,f12958]) ).

fof(f13535,plain,
    ( m2_subset_1(k1_pre_topc(sK5),k1_zfmisc_1(u1_struct_0(sK5)),k1_lopclset(sK5))
    | ~ v2_pre_topc(sK5)
    | ~ l1_pre_topc(sK5)
    | spl90_2 ),
    inference(resolution,[],[f13469,f12972]) ).

fof(f13680,plain,
    ( m2_subset_1(k1_pre_topc(sK5),k1_zfmisc_1(u1_struct_0(sK5)),k1_lopclset(sK5))
    | ~ l1_pre_topc(sK5)
    | spl90_2 ),
    inference(forward_subsumption_resolution,[],[f13535,f12985]) ).

fof(f13690,plain,
    ( ~ v1_xboole_0(k1_lopclset(sK5))
    | ~ l1_pre_topc(sK5)
    | spl90_2 ),
    inference(forward_subsumption_resolution,[],[f13525,f12985]) ).

fof(f13707,plain,
    ( m1_subset_1(k1_lopclset(sK5),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK5))))
    | spl90_2 ),
    inference(forward_subsumption_resolution,[],[f13494,f12984]) ).

fof(f13742,plain,
    ( m2_subset_1(k1_pre_topc(sK5),k1_zfmisc_1(u1_struct_0(sK5)),k1_lopclset(sK5))
    | spl90_2 ),
    inference(forward_subsumption_resolution,[],[f13680,f12984]) ).

fof(f13752,plain,
    ( ~ v1_xboole_0(k1_lopclset(sK5))
    | spl90_2 ),
    inference(forward_subsumption_resolution,[],[f13690,f12984]) ).

fof(f14128,definition,
    ( spl90_5
  <=> m1_subset_1(k1_pre_topc(sK5),k1_lopclset(sK5)) ),
    introduced(definition,[new_symbols(definition,[spl90_5])],[avatar_definition]) ).

fof(f14130,plain,
    ( ~ m1_subset_1(k1_pre_topc(sK5),k1_lopclset(sK5))
    | spl90_5 ),
    inference(avatar_component_clause,[],[f14128]) ).

fof(f14131,plain,
    ( ~ spl90_5
    | spl90_1
    | spl90_2 ),
    inference(avatar_split_clause,[],[f13489,f13467,f13462,f14128]) ).

fof(f16715,definition,
    ( spl90_22
  <=> m2_subset_1(k1_pre_topc(sK5),k1_zfmisc_1(u1_struct_0(sK5)),k1_lopclset(sK5)) ),
    introduced(definition,[new_symbols(definition,[spl90_22])],[avatar_definition]) ).

fof(f16717,plain,
    ( m2_subset_1(k1_pre_topc(sK5),k1_zfmisc_1(u1_struct_0(sK5)),k1_lopclset(sK5))
    | ~ spl90_22 ),
    inference(avatar_component_clause,[],[f16715]) ).

fof(f16718,plain,
    ( spl90_22
    | spl90_2 ),
    inference(avatar_split_clause,[],[f13742,f13467,f16715]) ).

fof(f16729,plain,
    ( m1_subset_1(k1_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))))
    | ~ spl90_22 ),
    inference(resolution,[],[f16717,f13052]) ).

fof(f16736,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))))
    | spl90_5
    | ~ spl90_22 ),
    inference(forward_subsumption_resolution,[],[f16729,f14130]) ).

fof(f16747,plain,
    ( v1_xboole_0(k1_lopclset(sK5))
    | ~ m1_subset_1(k1_lopclset(sK5),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK5))))
    | spl90_5
    | ~ spl90_22 ),
    inference(forward_subsumption_resolution,[],[f16736,f13013]) ).

fof(f16758,plain,
    ( ~ m1_subset_1(k1_lopclset(sK5),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK5))))
    | spl90_2
    | spl90_5
    | ~ spl90_22 ),
    inference(forward_subsumption_resolution,[],[f16747,f13752]) ).

fof(f16769,plain,
    ( $false
    | spl90_2
    | spl90_5
    | ~ spl90_22 ),
    inference(forward_subsumption_resolution,[],[f16758,f13707]) ).

fof(f16770,plain,
    ( spl90_2
    | spl90_5
    | ~ spl90_22 ),
    inference(avatar_contradiction_clause,[],[f16769]) ).

cnf(s1,plain,
    ~ spl90_1,
    inference(sat_conversion,[],[f13465]) ).

cnf(s2,plain,
    ~ spl90_2,
    inference(sat_conversion,[],[f13470]) ).

cnf(s5,plain,
    ( spl90_1
    | spl90_2
    | ~ spl90_5 ),
    inference(sat_conversion,[],[f14131]) ).

cnf(s22,plain,
    ( spl90_2
    | spl90_22 ),
    inference(sat_conversion,[],[f16718]) ).

cnf(s23,plain,
    ( spl90_2
    | spl90_5
    | ~ spl90_22 ),
    inference(sat_conversion,[],[f16770]) ).

cnf(s30,plain,
    spl90_22,
    inference(rat,[],[s22,s2]) ).

cnf(s42,plain,
    spl90_5,
    inference(rat,[],[s23,s2,s30]) ).

cnf(s43,plain,
    spl90_1,
    inference(rat,[],[s5,s2,s42]) ).

cnf(s44,plain,
    $false,
    inference(rat,[],[s1,s43]) ).

fof(f16799,plain,
    $false,
    inference(avatar_sat_refutation,[],[s44]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : LAT287+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.10  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.22/0.49  % Computer : n011.cluster.edu
% 0.22/0.49  % Model    : x86_64 x86_64
% 0.22/0.49  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.22/0.49  % Memory   : 8046.5625MB
% 0.22/0.49  % OS       : Linux 6.8.0-71-generic
% 0.22/0.49  % CPULimit : 300
% 0.22/0.49  % WCLimit  : 300
% 0.22/0.49  % DateTime : Sun Sep 27 14:15:17 UTC 2026
% 0.22/0.49  % CPUTime  : 
% 0.22/0.49  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.27/0.55  Running first-order theorem proving
% 0.27/0.55  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
% 13.38/4.04  % (2459454)Detected formulas, will run a generic FOF schedule.
% 13.38/4.04  % (2459464)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1872256577:s2a=on:i=139:gtg=position_2994 on theBenchmark for (2994ds/139Mi)
% 13.38/4.04  % (2459459)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=3315280469:i=141193_2994 on theBenchmark for (2994ds/141193Mi)
% 13.38/4.04  % (2459463)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3780130086:i=119:av=off:ss=axioms_2994 on theBenchmark for (2994ds/119Mi)
% 13.38/4.04  % (2459465)dis-21_1_sil=8000:lcm=predicate:random_seed=405950501:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2994 on theBenchmark for (2994ds/129Mi)
% 13.38/4.04  % (2459462)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=92617309:i=109:sd=1:ins=1:gsp=on:ss=axioms_2994 on theBenchmark for (2994ds/109Mi)
% 13.38/4.04  % (2459461)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=1690272424:i=141695:sd=1:nm=32:gsp=on:ss=included_2994 on theBenchmark for (2994ds/141695Mi)
% 13.38/4.04  % (2459460)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=212422179:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2994 on theBenchmark for (2994ds/134677Mi)
% 13.38/4.04  % (2459464)Instruction limit reached! 
% 13.38/4.04  % (2459464)------------------------------
% 13.38/4.04  % (2459464)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.38/4.04  % (2459464)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.38/4.04  % (2459464)CaDiCaL version: 2.1.3
% 13.38/4.04  % (2459464)Termination reason: Instruction limit
% 13.38/4.04  % (2459464)Termination phase: Property scanning
% 13.38/4.04  % (2459464)Time elapsed: 0.062 s
% 13.38/4.04  % (2459464)Peak memory usage: 101 MB
% 13.38/4.04  % (2459464)Instructions burned: 139 (million)
% 13.38/4.04  % (2459462)Refutation not found, incomplete strategy
% 13.38/4.04  % (2459462)------------------------------
% 13.38/4.04  % (2459462)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.38/4.04  % (2459462)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.38/4.04  % (2459462)CaDiCaL version: 2.1.3
% 13.38/4.04  % (2459462)Termination reason: Refutation not found, incomplete strategy
% 13.38/4.04  % (2459462)Time elapsed: 0.083 s
% 13.38/4.04  % (2459462)Peak memory usage: 105 MB
% 13.38/4.04  % (2459462)Instructions burned: 71 (million)
% 13.38/4.04  % (2459463)Instruction limit reached! 
% 13.38/4.04  % (2459463)------------------------------
% 13.38/4.04  % (2459463)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.38/4.04  % (2459463)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.38/4.04  % (2459463)CaDiCaL version: 2.1.3
% 13.38/4.04  % (2459463)Termination reason: Instruction limit
% 13.38/4.04  % (2459463)Termination phase: Function definition elimination
% 13.38/4.04  % (2459463)Time elapsed: 0.136 s
% 13.38/4.04  % (2459463)Peak memory usage: 104 MB
% 13.38/4.04  % (2459463)Instructions burned: 119 (million)
% 13.38/4.04  % (2459465)Instruction limit reached! 
% 13.38/4.04  % (2459465)------------------------------
% 13.38/4.04  % (2459465)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.38/4.04  % (2459465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.38/4.04  % (2459465)CaDiCaL version: 2.1.3
% 13.38/4.04  % (2459465)Termination reason: Instruction limit
% 13.38/4.04  % (2459465)Termination phase: Preprocessing 1
% 13.38/4.04  % (2459465)Time elapsed: 0.144 s
% 13.38/4.04  % (2459465)Peak memory usage: 102 MB
% 13.38/4.04  % (2459465)Instructions burned: 129 (million)
% 13.38/4.04  % (2459473)lrs+10_1_sil=8000:sp=occurrence:random_seed=1708052491:i=285:sd=3:ss=axioms:sgt=8_2990 on theBenchmark for (2990ds/285Mi)
% 13.38/4.04  % (2459474)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1602955127:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2989 on theBenchmark for (2989ds/157Mi)
% 13.38/4.04  % (2459475)lrs+1011_1_sil=32000:sp=occurrence:random_seed=391487912:i=325:sd=1:ss=axioms:sgt=32_2989 on theBenchmark for (2989ds/325Mi)
% 13.38/4.04  % (2459462)------------------------------
% 13.38/4.04  % (2459462)------------------------------
% 13.38/4.04  % (2459473)Instruction limit reached! 
% 13.38/4.04  % (2459473)------------------------------
% 13.38/4.04  % (2459473)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.38/4.04  % (2459473)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.38/4.04  % (2459473)CaDiCaL version: 2.1.3
% 13.38/4.04  % (2459473)Termination reason: Instruction limit
% 13.38/4.04  % (2459473)Termination phase: Saturation
% 13.38/4.04  % (2459473)Time elapsed: 0.193 s
% 13.38/4.04  % (2459473)Peak memory usage: 108 MB
% 13.38/4.04  % (2459473)Instructions burned: 285 (million)
% 13.38/4.04  % (2459475)Refutation not found, incomplete strategy
% 13.38/4.04  % (2459475)------------------------------
% 13.38/4.04  % (2459475)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.38/4.04  % (2459475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.38/4.04  % (2459475)CaDiCaL version: 2.1.3
% 13.38/4.04  % (2459475)Termination reason: Refutation not found, incomplete strategy
% 13.38/4.04  % (2459475)Time elapsed: 0.088 s
% 13.38/4.04  % (2459475)Peak memory usage: 105 MB
% 13.38/4.04  % (2459475)Instructions burned: 70 (million)
% 13.38/4.04  % (2459474)Instruction limit reached! 
% 13.38/4.04  % (2459474)------------------------------
% 13.38/4.04  % (2459474)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.38/4.04  % (2459474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.38/4.04  % (2459474)CaDiCaL version: 2.1.3
% 13.38/4.04  % (2459474)Termination reason: Instruction limit
% 13.38/4.04  % (2459474)Termination phase: SInE selection
% 13.38/4.04  % (2459474)Time elapsed: 0.127 s
% 13.38/4.04  % (2459474)Peak memory usage: 101 MB
% 13.38/4.04  % (2459474)Instructions burned: 157 (million)
% 13.38/4.04  % (2459480)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1109385250:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2986 on theBenchmark for (2986ds/294Mi)
% 13.38/4.04  % (2459479)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=296974999:s2a=on:i=248:s2at=1.23:gtg=position_2986 on theBenchmark for (2986ds/248Mi)
% 13.38/4.04  % (2459481)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3677713787:i=2350_2985 on theBenchmark for (2985ds/2350Mi)
% 13.38/4.04  % (2459480)Instruction limit reached! 
% 13.38/4.04  % (2459480)------------------------------
% 13.38/4.04  % (2459480)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.38/4.04  % (2459480)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.38/4.04  % (2459480)CaDiCaL version: 2.1.3
% 13.38/4.04  % (2459480)Termination reason: Instruction limit
% 13.38/4.04  % (2459480)Termination phase: Saturation
% 13.38/4.04  % (2459480)Time elapsed: 0.173 s
% 13.38/4.04  % (2459480)Peak memory usage: 109 MB
% 13.38/4.04  % (2459480)Instructions burned: 295 (million)
% 13.38/4.04  % (2459475)------------------------------
% 13.38/4.04  % (2459475)------------------------------
% 13.38/4.04  % (2459479)Instruction limit reached! 
% 13.38/4.04  % (2459479)------------------------------
% 13.38/4.04  % (2459479)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.38/4.04  % (2459479)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.38/4.04  % (2459479)CaDiCaL version: 2.1.3
% 13.38/4.04  % (2459479)Termination reason: Instruction limit
% 13.38/4.04  % (2459479)Termination phase: SInE selection
% 13.38/4.04  % (2459479)Time elapsed: 0.237 s
% 13.38/4.04  % (2459479)Peak memory usage: 101 MB
% 13.38/4.04  % (2459479)Instructions burned: 248 (million)
% 13.38/4.04  % (2459485)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1531656415:cts=off:i=113:fsr=off:ss=included:sgt=4_2982 on theBenchmark for (2982ds/113Mi)
% 13.38/4.04  % (2459486)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1187058118:i=127:av=off:fsr=off:sup=off_2982 on theBenchmark for (2982ds/127Mi)
% 13.38/4.04  % (2459485)Instruction limit reached! 
% 13.38/4.04  % (2459485)------------------------------
% 13.38/4.04  % (2459485)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.38/4.04  % (2459485)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.38/4.04  % (2459485)CaDiCaL version: 2.1.3
% 13.38/4.04  % (2459485)Termination reason: Instruction limit
% 13.38/4.04  % (2459485)Termination phase: Preprocessing 3
% 13.38/4.04  % (2459485)Time elapsed: 0.086 s
% 13.38/4.04  % (2459485)Peak memory usage: 104 MB
% 13.38/4.04  % (2459485)Instructions burned: 114 (million)
% 13.38/4.04  % (2459486)Instruction limit reached! 
% 13.38/4.04  % (2459486)------------------------------
% 13.38/4.04  % (2459486)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.38/4.04  % (2459486)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.38/4.04  % (2459486)CaDiCaL version: 2.1.3
% 13.38/4.04  % (2459486)Termination reason: Instruction limit
% 13.38/4.04  % (2459486)Termination phase: Preprocessing 2
% 13.38/4.04  % (2459486)Time elapsed: 0.149 s
% 13.38/4.04  % (2459486)Peak memory usage: 107 MB
% 13.38/4.04  % (2459486)Instructions burned: 127 (million)
% 13.38/4.04  % (2459487)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2599357868:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2981 on theBenchmark for (2981ds/114Mi)
% 13.38/4.04  % (2459490)lrs+10_1_sil=8000:sp=occurrence:random_seed=3696406810:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2979 on theBenchmark for (2979ds/907Mi)
% 13.38/4.04  % (2459487)Instruction limit reached! 
% 13.38/4.04  % (2459487)------------------------------
% 13.38/4.04  % (2459487)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.38/4.04  % (2459487)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.38/4.04  % (2459487)CaDiCaL version: 2.1.3
% 13.38/4.04  % (2459487)Termination reason: Instruction limit
% 13.38/4.04  % (2459487)Termination phase: Property scanning
% 13.38/4.04  % (2459487)Time elapsed: 0.096 s
% 13.38/4.04  % (2459487)Peak memory usage: 100 MB
% 13.38/4.04  % (2459487)Instructions burned: 115 (million)
% 13.38/4.04  % (2459491)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=4196886603:i=437:sd=1:aac=none:ss=included_2978 on theBenchmark for (2978ds/437Mi)
% 13.38/4.04  % (2459490)Instruction limit reached! 
% 13.38/4.04  % (2459490)------------------------------
% 13.38/4.04  % (2459490)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.38/4.04  % (2459490)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.38/4.04  % (2459490)CaDiCaL version: 2.1.3
% 13.38/4.04  % (2459490)Termination reason: Instruction limit
% 13.38/4.04  % (2459490)Termination phase: Saturation
% 13.38/4.04  % (2459490)Time elapsed: 0.310 s
% 13.38/4.04  % (2459490)Peak memory usage: 119 MB
% 13.38/4.04  % (2459490)Instructions burned: 907 (million)
% 13.38/4.04  % (2459491)Refutation not found, incomplete strategy
% 13.38/4.04  % (2459491)------------------------------
% 13.38/4.04  % (2459491)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.38/4.04  % (2459491)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.38/4.04  % (2459491)CaDiCaL version: 2.1.3
% 13.38/4.04  % (2459491)Termination reason: Refutation not found, incomplete strategy
% 13.38/4.04  % (2459491)Time elapsed: 0.120 s
% 13.38/4.04  % (2459491)Peak memory usage: 106 MB
% 13.38/4.04  % (2459491)Instructions burned: 101 (million)
% 13.38/4.04  % (2459461)First to succeed.
% 13.38/4.04  % (2459461)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2459454"
% 13.38/4.04  % (2459494)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2288335516:i=5202:ss=axioms:sgt=16_2977 on theBenchmark for (2977ds/5202Mi)
% 13.38/4.04  % (2459496)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3808678275:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2974 on theBenchmark for (2974ds/134Mi)
% 13.38/4.04  % (2459496)Instruction limit reached! 
% 13.38/4.04  % (2459496)------------------------------
% 13.38/4.04  % (2459496)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.38/4.04  % (2459496)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.38/4.04  % (2459496)CaDiCaL version: 2.1.3
% 13.38/4.04  % (2459496)Termination reason: Instruction limit
% 13.38/4.04  % (2459496)Termination phase: Saturation
% 13.38/4.04  % (2459496)Time elapsed: 0.057 s
% 13.38/4.04  % (2459496)Peak memory usage: 106 MB
% 13.38/4.04  % (2459496)Instructions burned: 135 (million)
% 13.38/4.04  % (2459499)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=160345320:st=8:i=592:sd=3:ep=RST:ss=axioms_2972 on theBenchmark for (2972ds/592Mi)
% 13.38/4.04  % (2459491)------------------------------
% 13.38/4.04  % (2459491)------------------------------
% 13.38/4.04  % (2459461)Refutation found. Thanks to Tanya!
% 13.38/4.04  % SZS status Theorem for theBenchmark
% 13.38/4.04  % SZS output start Proof for theBenchmark
% See solution above
% 18.45/4.16  % (2459461)------------------------------
% 18.45/4.16  % (2459461)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.45/4.16  % (2459461)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.45/4.16  % (2459461)CaDiCaL version: 2.1.3
% 18.45/4.16  % (2459461)Termination reason: Refutation
% 18.45/4.16  % (2459461)Time elapsed: 1.700 s
% 18.45/4.16  % (2459461)Peak memory usage: 158 MB
% 18.45/4.16  % (2459461)Instructions burned: 1626 (million)
% 18.45/4.16  % (2459461)------------------------------
% 18.45/4.16  % (2459461)------------------------------
% 18.45/4.16  % (2459454)Success in time 3.067 s
% 18.45/4.16  % Vampire exiting
%------------------------------------------------------------------------------