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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SEU108+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 : 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 12:47:15 PM UTC 2026

% Result   : Theorem 2.87s 1.36s
% Output   : Refutation 3.98s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   86 (  15 unt;   4 def)
%            Number of atoms       :  232 (   8 equ)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives :  256 ( 110   ~; 111   |;  21   &)
%                                         (   7 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   5 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   1 con; 0-3 aty)
%            Number of variables   :  113 (   0 sgn 108   !;   5   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f8,axiom,
    ! [X0,X1,X2] :
      ( ( element(X1,powerset(X0))
        & element(X2,powerset(X0)) )
     => element(subset_union2(X0,X1,X2),powerset(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k4_subset_1) ).

fof(f9,axiom,
    ! [X0,X1,X2] :
      ( ( element(X1,powerset(X0))
        & element(X2,powerset(X0)) )
     => element(subset_difference(X0,X1,X2),powerset(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k6_subset_1) ).

fof(f12,axiom,
    ! [X0] : ~ empty(powerset(X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_subset_1) ).

fof(f28,axiom,
    ! [X0,X1,X2] :
      ( ( element(X1,powerset(X0))
        & element(X2,powerset(X0)) )
     => subset_union2(X0,X1,X2) = set_union2(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k4_subset_1) ).

fof(f29,axiom,
    ! [X0,X1,X2] :
      ( ( element(X1,powerset(X0))
        & element(X2,powerset(X0)) )
     => subset_difference(X0,X1,X2) = set_difference(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k6_subset_1) ).

fof(f31,axiom,
    ! [X0] :
      ( preboolean(X0)
    <=> ! [X1,X2] :
          ( ( in(X1,X0)
            & in(X2,X0) )
         => ( in(set_union2(X1,X2),X0)
            & in(set_difference(X1,X2),X0) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_finsub_1) ).

fof(f33,axiom,
    ! [X0,X1] :
      ( in(X0,X1)
     => element(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_subset) ).

fof(f34,conjecture,
    ! [X0] : preboolean(powerset(X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t20_finsub_1) ).

fof(f35,negated_conjecture,
    ~ ! [X0] : preboolean(powerset(X0)),
    inference(negated_conjecture,[status(cth)],[f34]) ).

fof(f36,axiom,
    ! [X0,X1] :
      ( element(X0,X1)
     => ( empty(X1)
        | in(X0,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).

fof(f43,axiom,
    ! [X0,X1] :
      ~ ( in(X0,X1)
        & empty(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).

fof(f64,plain,
    ! [X0,X1,X2] :
      ( element(subset_union2(X0,X1,X2),powerset(X0))
      | ~ element(X1,powerset(X0))
      | ~ element(X2,powerset(X0)) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f65,plain,
    ! [X0,X1,X2] :
      ( element(subset_union2(X0,X1,X2),powerset(X0))
      | ~ element(X1,powerset(X0))
      | ~ element(X2,powerset(X0)) ),
    inference(flattening,[],[f64]) ).

fof(f66,plain,
    ! [X0,X1,X2] :
      ( element(subset_difference(X0,X1,X2),powerset(X0))
      | ~ element(X1,powerset(X0))
      | ~ element(X2,powerset(X0)) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f67,plain,
    ! [X0,X1,X2] :
      ( element(subset_difference(X0,X1,X2),powerset(X0))
      | ~ element(X1,powerset(X0))
      | ~ element(X2,powerset(X0)) ),
    inference(flattening,[],[f66]) ).

fof(f78,plain,
    ! [X0,X1,X2] :
      ( subset_union2(X0,X1,X2) = set_union2(X1,X2)
      | ~ element(X1,powerset(X0))
      | ~ element(X2,powerset(X0)) ),
    inference(ennf_transformation,[],[f28]) ).

fof(f79,plain,
    ! [X0,X1,X2] :
      ( subset_union2(X0,X1,X2) = set_union2(X1,X2)
      | ~ element(X1,powerset(X0))
      | ~ element(X2,powerset(X0)) ),
    inference(flattening,[],[f78]) ).

fof(f80,plain,
    ! [X0,X1,X2] :
      ( subset_difference(X0,X1,X2) = set_difference(X1,X2)
      | ~ element(X1,powerset(X0))
      | ~ element(X2,powerset(X0)) ),
    inference(ennf_transformation,[],[f29]) ).

fof(f81,plain,
    ! [X0,X1,X2] :
      ( subset_difference(X0,X1,X2) = set_difference(X1,X2)
      | ~ element(X1,powerset(X0))
      | ~ element(X2,powerset(X0)) ),
    inference(flattening,[],[f80]) ).

fof(f82,plain,
    ! [X0] :
      ( preboolean(X0)
    <=> ! [X1,X2] :
          ( ( in(set_union2(X1,X2),X0)
            & in(set_difference(X1,X2),X0) )
          | ~ in(X1,X0)
          | ~ in(X2,X0) ) ),
    inference(ennf_transformation,[],[f31]) ).

fof(f83,plain,
    ! [X0] :
      ( preboolean(X0)
    <=> ! [X1,X2] :
          ( ( in(set_union2(X1,X2),X0)
            & in(set_difference(X1,X2),X0) )
          | ~ in(X1,X0)
          | ~ in(X2,X0) ) ),
    inference(flattening,[],[f82]) ).

fof(f84,plain,
    ! [X0,X1] :
      ( element(X0,X1)
      | ~ in(X0,X1) ),
    inference(ennf_transformation,[],[f33]) ).

fof(f85,plain,
    ? [X0] : ~ preboolean(powerset(X0)),
    inference(ennf_transformation,[],[f35]) ).

fof(f86,plain,
    ! [X0,X1] :
      ( empty(X1)
      | in(X0,X1)
      | ~ element(X0,X1) ),
    inference(ennf_transformation,[],[f36]) ).

fof(f87,plain,
    ! [X0,X1] :
      ( empty(X1)
      | in(X0,X1)
      | ~ element(X0,X1) ),
    inference(flattening,[],[f86]) ).

fof(f93,plain,
    ! [X0,X1] :
      ( ~ in(X0,X1)
      | ~ empty(X1) ),
    inference(ennf_transformation,[],[f43]) ).

fof(f105,plain,
    ! [X0] :
      ( ( preboolean(X0)
        | ? [X1,X2] :
            ( ( ~ in(set_union2(X1,X2),X0)
              | ~ in(set_difference(X1,X2),X0) )
            & in(X1,X0)
            & in(X2,X0) ) )
      & ( ! [X1,X2] :
            ( ( in(set_union2(X1,X2),X0)
              & in(set_difference(X1,X2),X0) )
            | ~ in(X1,X0)
            | ~ in(X2,X0) )
        | ~ preboolean(X0) ) ),
    inference(nnf_transformation,[],[f83]) ).

fof(f106,plain,
    ! [X0] :
      ( ( preboolean(X0)
        | ? [X1,X2] :
            ( ( ~ in(set_union2(X1,X2),X0)
              | ~ in(set_difference(X1,X2),X0) )
            & in(X1,X0)
            & in(X2,X0) ) )
      & ( ! [X3,X4] :
            ( ( in(set_union2(X3,X4),X0)
              & in(set_difference(X3,X4),X0) )
            | ~ in(X3,X0)
            | ~ in(X4,X0) )
        | ~ preboolean(X0) ) ),
    inference(rectify,[],[f105]) ).

fof(f107,plain,
    ! [X0] :
      ( ( preboolean(X0)
        | ( ( ~ in(set_union2(sK10(X0),sK11(X0)),X0)
            | ~ in(set_difference(sK10(X0),sK11(X0)),X0) )
          & in(sK10(X0),X0)
          & in(sK11(X0),X0) ) )
      & ( ! [X3,X4] :
            ( ( in(set_union2(X3,X4),X0)
              & in(set_difference(X3,X4),X0) )
            | ~ in(X3,X0)
            | ~ in(X4,X0) )
        | ~ preboolean(X0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK10,sK11]),skolemize(X1,sK10(X0)),skolemize(X2,sK11(X0))],[f106]) ).

fof(f108,plain,
    ~ preboolean(powerset(sK12)),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(X0,sK12)],[f85]) ).

fof(f117,plain,
    ! [X2,X0,X1] :
      ( element(subset_union2(X0,X1,X2),powerset(X0))
      | ~ element(X1,powerset(X0))
      | ~ element(X2,powerset(X0)) ),
    inference(cnf_transformation,[],[f65]) ).

fof(f118,plain,
    ! [X2,X0,X1] :
      ( element(subset_difference(X0,X1,X2),powerset(X0))
      | ~ element(X1,powerset(X0))
      | ~ element(X2,powerset(X0)) ),
    inference(cnf_transformation,[],[f67]) ).

fof(f121,plain,
    ! [X0] : ~ empty(powerset(X0)),
    inference(cnf_transformation,[],[f12]) ).

fof(f149,plain,
    ! [X2,X0,X1] :
      ( subset_union2(X0,X1,X2) = set_union2(X1,X2)
      | ~ element(X1,powerset(X0))
      | ~ element(X2,powerset(X0)) ),
    inference(cnf_transformation,[],[f79]) ).

fof(f150,plain,
    ! [X2,X0,X1] :
      ( subset_difference(X0,X1,X2) = set_difference(X1,X2)
      | ~ element(X1,powerset(X0))
      | ~ element(X2,powerset(X0)) ),
    inference(cnf_transformation,[],[f81]) ).

fof(f154,plain,
    ! [X0] :
      ( in(sK11(X0),X0)
      | preboolean(X0) ),
    inference(cnf_transformation,[],[f107]) ).

fof(f155,plain,
    ! [X0] :
      ( in(sK10(X0),X0)
      | preboolean(X0) ),
    inference(cnf_transformation,[],[f107]) ).

fof(f156,plain,
    ! [X0] :
      ( ~ in(set_difference(sK10(X0),sK11(X0)),X0)
      | ~ in(set_union2(sK10(X0),sK11(X0)),X0)
      | preboolean(X0) ),
    inference(cnf_transformation,[],[f107]) ).

fof(f158,plain,
    ! [X0,X1] :
      ( element(X0,X1)
      | ~ in(X0,X1) ),
    inference(cnf_transformation,[],[f84]) ).

fof(f159,plain,
    ~ preboolean(powerset(sK12)),
    inference(cnf_transformation,[],[f108]) ).

fof(f160,plain,
    ! [X0,X1] :
      ( in(X0,X1)
      | empty(X1)
      | ~ element(X0,X1) ),
    inference(cnf_transformation,[],[f87]) ).

fof(f167,plain,
    ! [X0,X1] :
      ( ~ in(X0,X1)
      | ~ empty(X1) ),
    inference(cnf_transformation,[],[f93]) ).

fof(f196,plain,
    ! [X0] :
      ( preboolean(X0)
      | ~ empty(X0) ),
    inference(resolution,[],[f167,f154]) ).

fof(f208,plain,
    ! [X2,X0,X1] :
      ( element(set_union2(X0,X1),powerset(X2))
      | ~ element(X0,powerset(X2))
      | ~ element(X1,powerset(X2))
      | ~ element(X0,powerset(X2))
      | ~ element(X1,powerset(X2)) ),
    inference(superposition,[],[f117,f149]) ).

fof(f209,plain,
    ! [X2,X0,X1] :
      ( element(set_union2(X0,X1),powerset(X2))
      | ~ element(X0,powerset(X2))
      | ~ element(X1,powerset(X2)) ),
    inference(duplicate_literal_removal,[],[f208]) ).

fof(f212,plain,
    ! [X2,X0,X1] :
      ( element(set_difference(X0,X1),powerset(X2))
      | ~ element(X0,powerset(X2))
      | ~ element(X1,powerset(X2))
      | ~ element(X0,powerset(X2))
      | ~ element(X1,powerset(X2)) ),
    inference(superposition,[],[f118,f150]) ).

fof(f213,plain,
    ! [X2,X0,X1] :
      ( element(set_difference(X0,X1),powerset(X2))
      | ~ element(X0,powerset(X2))
      | ~ element(X1,powerset(X2)) ),
    inference(duplicate_literal_removal,[],[f212]) ).

fof(f265,plain,
    ! [X0] :
      ( empty(X0)
      | ~ element(set_difference(sK10(X0),sK11(X0)),X0)
      | ~ in(set_union2(sK10(X0),sK11(X0)),X0)
      | preboolean(X0) ),
    inference(resolution,[],[f160,f156]) ).

fof(f266,plain,
    ! [X0] :
      ( preboolean(X0)
      | ~ in(set_union2(sK10(X0),sK11(X0)),X0)
      | ~ element(set_difference(sK10(X0),sK11(X0)),X0) ),
    inference(forward_subsumption_resolution,[],[f265,f196]) ).

fof(f383,plain,
    ( ~ in(set_union2(sK10(powerset(sK12)),sK11(powerset(sK12))),powerset(sK12))
    | ~ element(set_difference(sK10(powerset(sK12)),sK11(powerset(sK12))),powerset(sK12)) ),
    inference(resolution,[],[f266,f159]) ).

fof(f387,definition,
    ( spl13_5
  <=> element(set_difference(sK10(powerset(sK12)),sK11(powerset(sK12))),powerset(sK12)) ),
    introduced(definition,[new_symbols(definition,[spl13_5])],[avatar_definition]) ).

fof(f389,plain,
    ( ~ element(set_difference(sK10(powerset(sK12)),sK11(powerset(sK12))),powerset(sK12))
    | spl13_5 ),
    inference(avatar_component_clause,[],[f387]) ).

fof(f391,definition,
    ( spl13_6
  <=> in(set_union2(sK10(powerset(sK12)),sK11(powerset(sK12))),powerset(sK12)) ),
    introduced(definition,[new_symbols(definition,[spl13_6])],[avatar_definition]) ).

fof(f393,plain,
    ( ~ in(set_union2(sK10(powerset(sK12)),sK11(powerset(sK12))),powerset(sK12))
    | spl13_6 ),
    inference(avatar_component_clause,[],[f391]) ).

fof(f394,plain,
    ( ~ spl13_5
    | ~ spl13_6 ),
    inference(avatar_split_clause,[],[f383,f391,f387]) ).

fof(f398,plain,
    ( ~ element(sK10(powerset(sK12)),powerset(sK12))
    | ~ element(sK11(powerset(sK12)),powerset(sK12))
    | spl13_5 ),
    inference(resolution,[],[f389,f213]) ).

fof(f403,definition,
    ( spl13_7
  <=> element(sK11(powerset(sK12)),powerset(sK12)) ),
    introduced(definition,[new_symbols(definition,[spl13_7])],[avatar_definition]) ).

fof(f404,plain,
    ( element(sK11(powerset(sK12)),powerset(sK12))
    | ~ spl13_7 ),
    inference(avatar_component_clause,[],[f403]) ).

fof(f405,plain,
    ( ~ element(sK11(powerset(sK12)),powerset(sK12))
    | spl13_7 ),
    inference(avatar_component_clause,[],[f403]) ).

fof(f407,definition,
    ( spl13_8
  <=> element(sK10(powerset(sK12)),powerset(sK12)) ),
    introduced(definition,[new_symbols(definition,[spl13_8])],[avatar_definition]) ).

fof(f408,plain,
    ( element(sK10(powerset(sK12)),powerset(sK12))
    | ~ spl13_8 ),
    inference(avatar_component_clause,[],[f407]) ).

fof(f409,plain,
    ( ~ element(sK10(powerset(sK12)),powerset(sK12))
    | spl13_8 ),
    inference(avatar_component_clause,[],[f407]) ).

fof(f410,plain,
    ( ~ spl13_7
    | ~ spl13_8
    | spl13_5 ),
    inference(avatar_split_clause,[],[f398,f387,f407,f403]) ).

fof(f417,plain,
    ( ~ in(sK11(powerset(sK12)),powerset(sK12))
    | spl13_7 ),
    inference(resolution,[],[f405,f158]) ).

fof(f425,plain,
    ( preboolean(powerset(sK12))
    | spl13_7 ),
    inference(resolution,[],[f417,f154]) ).

fof(f427,plain,
    ( $false
    | spl13_7 ),
    inference(forward_subsumption_resolution,[],[f425,f159]) ).

fof(f428,plain,
    spl13_7,
    inference(avatar_contradiction_clause,[],[f427]) ).

fof(f433,plain,
    ( ~ in(sK10(powerset(sK12)),powerset(sK12))
    | spl13_8 ),
    inference(resolution,[],[f409,f158]) ).

fof(f471,plain,
    ( preboolean(powerset(sK12))
    | spl13_8 ),
    inference(resolution,[],[f433,f155]) ).

fof(f473,plain,
    ( $false
    | spl13_8 ),
    inference(forward_subsumption_resolution,[],[f471,f159]) ).

fof(f474,plain,
    spl13_8,
    inference(avatar_contradiction_clause,[],[f473]) ).

fof(f475,plain,
    ( empty(powerset(sK12))
    | ~ element(set_union2(sK10(powerset(sK12)),sK11(powerset(sK12))),powerset(sK12))
    | spl13_6 ),
    inference(resolution,[],[f393,f160]) ).

fof(f476,plain,
    ( ~ element(set_union2(sK10(powerset(sK12)),sK11(powerset(sK12))),powerset(sK12))
    | spl13_6 ),
    inference(forward_subsumption_resolution,[],[f475,f121]) ).

fof(f478,plain,
    ( ~ element(sK10(powerset(sK12)),powerset(sK12))
    | ~ element(sK11(powerset(sK12)),powerset(sK12))
    | spl13_6 ),
    inference(resolution,[],[f476,f209]) ).

fof(f482,plain,
    ( ~ element(sK11(powerset(sK12)),powerset(sK12))
    | spl13_6
    | ~ spl13_8 ),
    inference(forward_subsumption_resolution,[],[f478,f408]) ).

fof(f483,plain,
    ( $false
    | spl13_6
    | ~ spl13_7
    | ~ spl13_8 ),
    inference(forward_subsumption_resolution,[],[f482,f404]) ).

fof(f484,plain,
    ( spl13_6
    | ~ spl13_7
    | ~ spl13_8 ),
    inference(avatar_contradiction_clause,[],[f483]) ).

cnf(s3,plain,
    ( ~ spl13_5
    | ~ spl13_6 ),
    inference(sat_conversion,[],[f394]) ).

cnf(s4,plain,
    ( spl13_5
    | ~ spl13_7
    | ~ spl13_8 ),
    inference(sat_conversion,[],[f410]) ).

cnf(s5,plain,
    spl13_7,
    inference(sat_conversion,[],[f428]) ).

cnf(s9,plain,
    spl13_8,
    inference(sat_conversion,[],[f474]) ).

cnf(s10,plain,
    ( spl13_6
    | ~ spl13_7
    | ~ spl13_8 ),
    inference(sat_conversion,[],[f484]) ).

cnf(s11,plain,
    spl13_6,
    inference(rat,[],[s10,s9,s5]) ).

cnf(s12,plain,
    spl13_5,
    inference(rat,[],[s4,s9,s5]) ).

cnf(s13,plain,
    $false,
    inference(rat,[],[s3,s11,s12]) ).

fof(f485,plain,
    $false,
    inference(avatar_sat_refutation,[],[s13]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SEU108+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38  % Computer : n011.cluster.edu
% 0.12/0.38  % Model    : x86_64 x86_64
% 0.12/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38  % Memory   : 8046.5625MB
% 0.12/0.38  % OS       : Linux 6.8.0-71-generic
% 0.12/0.38  % CPULimit : 300
% 0.12/0.38  % WCLimit  : 300
% 0.12/0.38  % DateTime : Mon Sep 28 03:35:45 UTC 2026
% 0.12/0.38  % CPUTime  : 
% 0.12/0.38  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.42  Running first-order theorem proving
% 0.12/0.42  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
% 2.87/1.36  % (2991998)Detected formulas, will run a generic FOF schedule.
% 2.87/1.36  % (2992103)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3016292999:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.87/1.36  % (2992103)Instruction limit reached! 
% 2.87/1.36  % (2992103)------------------------------
% 2.87/1.36  % (2992103)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.87/1.36  % (2992103)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.87/1.36  % (2992103)CaDiCaL version: 2.1.3
% 2.87/1.36  % (2992103)Termination reason: Instruction limit
% 2.87/1.36  % (2992103)Termination phase: Saturation
% 2.87/1.36  % (2992103)Time elapsed: 0.038 s
% 2.87/1.36  % (2992103)Peak memory usage: 89 MB
% 2.87/1.36  % (2992103)Instructions burned: 119 (million)
% 2.87/1.36  % (2992105)dis-21_1_sil=8000:lcm=predicate:random_seed=4206630447: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)
% 2.87/1.36  % (2992102)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1595514879:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.87/1.36  % (2992099)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=3392497505:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.87/1.36  % (2992101)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=2902464011:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.87/1.36  % (2992100)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=2503290723:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.87/1.36  % (2992102)Refutation not found, incomplete strategy
% 2.87/1.36  % (2992102)------------------------------
% 2.87/1.36  % (2992102)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.87/1.36  % (2992102)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.87/1.36  % (2992102)CaDiCaL version: 2.1.3
% 2.87/1.36  % (2992102)Termination reason: Refutation not found, incomplete strategy
% 2.87/1.36  % (2992102)Time elapsed: 0.001 s
% 2.87/1.36  % (2992102)Peak memory usage: 87 MB
% 2.87/1.36  % (2992104)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3033634690:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.87/1.36  % (2992104)First to succeed.
% 2.87/1.36  % (2992104)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2991998"
% 2.87/1.36  % (2992105)Instruction limit reached! 
% 2.87/1.36  % (2992105)------------------------------
% 2.87/1.36  % (2992105)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.87/1.36  % (2992105)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.87/1.36  % (2992105)CaDiCaL version: 2.1.3
% 2.87/1.36  % (2992105)Termination reason: Instruction limit
% 2.87/1.36  % (2992105)Termination phase: Saturation
% 2.87/1.36  % (2992105)Time elapsed: 0.074 s
% 2.87/1.36  % (2992105)Peak memory usage: 90 MB
% 2.87/1.36  % (2992105)Instructions burned: 130 (million)
% 2.87/1.36  % (2992134)lrs+10_1_sil=8000:sp=occurrence:random_seed=1048903792:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 2.87/1.36  % (2992134)Instruction limit reached! 
% 2.87/1.36  % (2992134)------------------------------
% 2.87/1.36  % (2992134)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.87/1.36  % (2992134)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.87/1.36  % (2992134)CaDiCaL version: 2.1.3
% 2.87/1.36  % (2992134)Termination reason: Instruction limit
% 2.87/1.36  % (2992134)Termination phase: Saturation
% 2.87/1.36  % (2992134)Time elapsed: 0.087 s
% 2.87/1.36  % (2992134)Peak memory usage: 92 MB
% 2.87/1.36  % (2992134)Instructions burned: 288 (million)
% 2.87/1.36  % (2992102)------------------------------
% 2.87/1.36  % (2992102)------------------------------
% 2.87/1.36  % (2992144)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2187243240:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.87/1.36  % (2992144)Refutation not found, incomplete strategy
% 2.87/1.36  % (2992144)------------------------------
% 2.87/1.36  % (2992144)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.87/1.36  % (2992144)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.87/1.36  % (2992144)CaDiCaL version: 2.1.3
% 2.87/1.36  % (2992144)Termination reason: Refutation not found, incomplete strategy
% 2.87/1.36  % (2992144)Time elapsed: 0.002 s
% 2.87/1.36  % (2992144)Peak memory usage: 88 MB
% 2.87/1.36  % (2992144)Instructions burned: 1 (million)
% 2.87/1.36  % (2992104)Refutation found. Thanks to Tanya!
% 2.87/1.36  % SZS status Theorem for theBenchmark
% 2.87/1.36  % SZS output start Proof for theBenchmark
% See solution above
% 3.98/1.46  % (2992104)------------------------------
% 3.98/1.46  % (2992104)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.98/1.46  % (2992104)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.98/1.46  % (2992104)CaDiCaL version: 2.1.3
% 3.98/1.46  % (2992104)Termination reason: Refutation
% 3.98/1.46  % (2992104)Time elapsed: 0.014 s
% 3.98/1.46  % (2992104)Peak memory usage: 90 MB
% 3.98/1.46  % (2992104)Instructions burned: 17 (million)
% 3.98/1.46  % (2992104)------------------------------
% 3.98/1.46  % (2992104)------------------------------
% 3.98/1.46  % (2991998)Success in time 0.489 s
% 3.98/1.46  % Vampire exiting
%------------------------------------------------------------------------------