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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SEU174+1 : TPTP v9.3.1. Released v3.3.0.
% 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 12:47:34 PM UTC 2026

% Result   : Theorem 2.92s 1.32s
% Output   : Refutation 3.69s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   76 (  18 unt;   2 def)
%            Number of atoms       :  221 (  33 equ)
%            Maximal formula atoms :   14 (   2 avg)
%            Number of connectives :  255 ( 110   ~;  99   |;  29   &)
%                                         (   6 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   3 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   3 con; 0-3 aty)
%            Number of variables   :  120 (   0 sgn 111   !;   9   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1] :
      ( in(X0,X1)
     => ~ in(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( element(X1,powerset(powerset(X0)))
     => ! [X2] :
          ( element(X2,powerset(powerset(X0)))
         => ( X2 = complements_of_subsets(X0,X1)
          <=> ! [X3] :
                ( element(X3,powerset(X0))
               => ( in(X3,X2)
                <=> in(subset_complement(X0,X3),X1) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_setfam_1) ).

fof(f7,axiom,
    ! [X0,X1] :
      ( element(X1,powerset(powerset(X0)))
     => element(complements_of_subsets(X0,X1),powerset(powerset(X0))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k7_setfam_1) ).

fof(f9,axiom,
    ! [X0] :
    ? [X1] : element(X1,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_subset_1) ).

fof(f13,axiom,
    ! [X0,X1] :
      ( element(X1,powerset(powerset(X0)))
     => complements_of_subsets(X0,complements_of_subsets(X0,X1)) = X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',involutiveness_k7_setfam_1) ).

fof(f16,axiom,
    ! [X0] :
    ? [X1] :
      ( element(X1,powerset(X0))
      & empty(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_subset_1) ).

fof(f20,axiom,
    ! [X0,X1] :
      ( element(X0,X1)
     => ( empty(X1)
        | in(X0,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).

fof(f22,conjecture,
    ! [X0,X1] :
      ( element(X1,powerset(powerset(X0)))
     => ~ ( X1 != empty_set
          & complements_of_subsets(X0,X1) = empty_set ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t46_setfam_1) ).

fof(f23,negated_conjecture,
    ~ ! [X0,X1] :
        ( element(X1,powerset(powerset(X0)))
       => ~ ( X1 != empty_set
            & complements_of_subsets(X0,X1) = empty_set ) ),
    inference(negated_conjecture,[status(cth)],[f22]) ).

fof(f24,axiom,
    ! [X0,X1,X2] :
      ( ( in(X0,X1)
        & element(X1,powerset(X2)) )
     => element(X0,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_subset) ).

fof(f25,axiom,
    ! [X0,X1,X2] :
      ~ ( in(X0,X1)
        & element(X1,powerset(X2))
        & empty(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_subset) ).

fof(f26,axiom,
    ! [X0] :
      ( empty(X0)
     => X0 = empty_set ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).

fof(f30,plain,
    ! [X0,X1] :
      ( ~ in(X1,X0)
      | ~ in(X0,X1) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f32,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( X2 = complements_of_subsets(X0,X1)
          <=> ! [X3] :
                ( ( in(X3,X2)
                <=> in(subset_complement(X0,X3),X1) )
                | ~ element(X3,powerset(X0)) ) )
          | ~ element(X2,powerset(powerset(X0))) )
      | ~ element(X1,powerset(powerset(X0))) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f34,plain,
    ! [X0,X1] :
      ( element(complements_of_subsets(X0,X1),powerset(powerset(X0)))
      | ~ element(X1,powerset(powerset(X0))) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f36,plain,
    ! [X0,X1] :
      ( complements_of_subsets(X0,complements_of_subsets(X0,X1)) = X1
      | ~ element(X1,powerset(powerset(X0))) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f39,plain,
    ! [X0,X1] :
      ( empty(X1)
      | in(X0,X1)
      | ~ element(X0,X1) ),
    inference(ennf_transformation,[],[f20]) ).

fof(f40,plain,
    ! [X0,X1] :
      ( empty(X1)
      | in(X0,X1)
      | ~ element(X0,X1) ),
    inference(flattening,[],[f39]) ).

fof(f41,plain,
    ? [X0,X1] :
      ( X1 != empty_set
      & complements_of_subsets(X0,X1) = empty_set
      & element(X1,powerset(powerset(X0))) ),
    inference(ennf_transformation,[],[f23]) ).

fof(f42,plain,
    ? [X0,X1] :
      ( X1 != empty_set
      & complements_of_subsets(X0,X1) = empty_set
      & element(X1,powerset(powerset(X0))) ),
    inference(flattening,[],[f41]) ).

fof(f43,plain,
    ! [X0,X1,X2] :
      ( element(X0,X2)
      | ~ in(X0,X1)
      | ~ element(X1,powerset(X2)) ),
    inference(ennf_transformation,[],[f24]) ).

fof(f44,plain,
    ! [X0,X1,X2] :
      ( element(X0,X2)
      | ~ in(X0,X1)
      | ~ element(X1,powerset(X2)) ),
    inference(flattening,[],[f43]) ).

fof(f45,plain,
    ! [X0,X1,X2] :
      ( ~ in(X0,X1)
      | ~ element(X1,powerset(X2))
      | ~ empty(X2) ),
    inference(ennf_transformation,[],[f25]) ).

fof(f46,plain,
    ! [X0] :
      ( X0 = empty_set
      | ~ empty(X0) ),
    inference(ennf_transformation,[],[f26]) ).

fof(f52,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( ( X2 = complements_of_subsets(X0,X1)
              | ? [X3] :
                  ( ( ~ in(subset_complement(X0,X3),X1)
                    | ~ in(X3,X2) )
                  & ( in(subset_complement(X0,X3),X1)
                    | in(X3,X2) )
                  & element(X3,powerset(X0)) ) )
            & ( ! [X3] :
                  ( ( ( in(X3,X2)
                      | ~ in(subset_complement(X0,X3),X1) )
                    & ( in(subset_complement(X0,X3),X1)
                      | ~ in(X3,X2) ) )
                  | ~ element(X3,powerset(X0)) )
              | complements_of_subsets(X0,X1) != X2 ) )
          | ~ element(X2,powerset(powerset(X0))) )
      | ~ element(X1,powerset(powerset(X0))) ),
    inference(nnf_transformation,[],[f32]) ).

fof(f53,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( ( X2 = complements_of_subsets(X0,X1)
              | ? [X3] :
                  ( ( ~ in(subset_complement(X0,X3),X1)
                    | ~ in(X3,X2) )
                  & ( in(subset_complement(X0,X3),X1)
                    | in(X3,X2) )
                  & element(X3,powerset(X0)) ) )
            & ( ! [X3] :
                  ( ( ( in(X3,X2)
                      | ~ in(subset_complement(X0,X3),X1) )
                    & ( in(subset_complement(X0,X3),X1)
                      | ~ in(X3,X2) ) )
                  | ~ element(X3,powerset(X0)) )
              | complements_of_subsets(X0,X1) != X2 ) )
          | ~ element(X2,powerset(powerset(X0))) )
      | ~ element(X1,powerset(powerset(X0))) ),
    inference(flattening,[],[f52]) ).

fof(f54,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( ( X2 = complements_of_subsets(X0,X1)
              | ? [X3] :
                  ( ( ~ in(subset_complement(X0,X3),X1)
                    | ~ in(X3,X2) )
                  & ( in(subset_complement(X0,X3),X1)
                    | in(X3,X2) )
                  & element(X3,powerset(X0)) ) )
            & ( ! [X4] :
                  ( ( ( in(X4,X2)
                      | ~ in(subset_complement(X0,X4),X1) )
                    & ( in(subset_complement(X0,X4),X1)
                      | ~ in(X4,X2) ) )
                  | ~ element(X4,powerset(X0)) )
              | complements_of_subsets(X0,X1) != X2 ) )
          | ~ element(X2,powerset(powerset(X0))) )
      | ~ element(X1,powerset(powerset(X0))) ),
    inference(rectify,[],[f53]) ).

fof(f55,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( ( X2 = complements_of_subsets(X0,X1)
              | ( ( ~ in(subset_complement(X0,sK1(X0,X1,X2)),X1)
                  | ~ in(sK1(X0,X1,X2),X2) )
                & ( in(subset_complement(X0,sK1(X0,X1,X2)),X1)
                  | in(sK1(X0,X1,X2),X2) )
                & element(sK1(X0,X1,X2),powerset(X0)) ) )
            & ( ! [X4] :
                  ( ( ( in(X4,X2)
                      | ~ in(subset_complement(X0,X4),X1) )
                    & ( in(subset_complement(X0,X4),X1)
                      | ~ in(X4,X2) ) )
                  | ~ element(X4,powerset(X0)) )
              | complements_of_subsets(X0,X1) != X2 ) )
          | ~ element(X2,powerset(powerset(X0))) )
      | ~ element(X1,powerset(powerset(X0))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X3,sK1(X0,X1,X2))],[f54]) ).

fof(f56,plain,
    ! [X0] : element(sK2(X0),X0),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X1,sK2(X0))],[f9]) ).

fof(f59,plain,
    ! [X0] :
      ( element(sK5(X0),powerset(X0))
      & empty(sK5(X0)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X1,sK5(X0))],[f16]) ).

fof(f62,plain,
    ( empty_set != sK8
    & empty_set = complements_of_subsets(sK7,sK8)
    & element(sK8,powerset(powerset(sK7))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK7,sK8]),skolemize(X0,sK7),skolemize(X1,sK8)],[f42]) ).

fof(f63,plain,
    ! [X0,X1] :
      ( ~ in(X1,X0)
      | ~ in(X0,X1) ),
    inference(cnf_transformation,[],[f30]) ).

fof(f67,plain,
    ! [X2,X0,X1,X4] :
      ( in(subset_complement(X0,X4),X1)
      | ~ in(X4,X2)
      | ~ element(X4,powerset(X0))
      | complements_of_subsets(X0,X1) != X2
      | ~ element(X2,powerset(powerset(X0)))
      | ~ element(X1,powerset(powerset(X0))) ),
    inference(cnf_transformation,[],[f55]) ).

fof(f73,plain,
    ! [X0,X1] :
      ( element(complements_of_subsets(X0,X1),powerset(powerset(X0)))
      | ~ element(X1,powerset(powerset(X0))) ),
    inference(cnf_transformation,[],[f34]) ).

fof(f74,plain,
    ! [X0] : element(sK2(X0),X0),
    inference(cnf_transformation,[],[f56]) ).

fof(f78,plain,
    ! [X0,X1] :
      ( complements_of_subsets(X0,complements_of_subsets(X0,X1)) = X1
      | ~ element(X1,powerset(powerset(X0))) ),
    inference(cnf_transformation,[],[f36]) ).

fof(f82,plain,
    ! [X0] : empty(sK5(X0)),
    inference(cnf_transformation,[],[f59]) ).

fof(f83,plain,
    ! [X0] : element(sK5(X0),powerset(X0)),
    inference(cnf_transformation,[],[f59]) ).

fof(f87,plain,
    ! [X0,X1] :
      ( in(X0,X1)
      | empty(X1)
      | ~ element(X0,X1) ),
    inference(cnf_transformation,[],[f40]) ).

fof(f90,plain,
    element(sK8,powerset(powerset(sK7))),
    inference(cnf_transformation,[],[f62]) ).

fof(f91,plain,
    empty_set = complements_of_subsets(sK7,sK8),
    inference(cnf_transformation,[],[f62]) ).

fof(f92,plain,
    empty_set != sK8,
    inference(cnf_transformation,[],[f62]) ).

fof(f93,plain,
    ! [X2,X0,X1] :
      ( element(X0,X2)
      | ~ in(X0,X1)
      | ~ element(X1,powerset(X2)) ),
    inference(cnf_transformation,[],[f44]) ).

fof(f94,plain,
    ! [X2,X0,X1] :
      ( ~ in(X0,X1)
      | ~ element(X1,powerset(X2))
      | ~ empty(X2) ),
    inference(cnf_transformation,[],[f45]) ).

fof(f95,plain,
    ! [X0] :
      ( ~ empty(X0)
      | empty_set = X0 ),
    inference(cnf_transformation,[],[f46]) ).

fof(f99,plain,
    ! [X0,X1,X4] :
      ( in(subset_complement(X0,X4),X1)
      | ~ in(X4,complements_of_subsets(X0,X1))
      | ~ element(X4,powerset(X0))
      | ~ element(complements_of_subsets(X0,X1),powerset(powerset(X0)))
      | ~ element(X1,powerset(powerset(X0))) ),
    inference(equality_resolution,[],[f67]) ).

fof(f102,plain,
    ! [X0] : empty_set = sK5(X0),
    inference(resolution,[],[f95,f82]) ).

fof(f104,plain,
    ! [X0] : element(empty_set,powerset(X0)),
    inference(superposition,[],[f83,f102]) ).

fof(f112,plain,
    ! [X0] : ~ in(X0,X0),
    inference(factoring,[],[f63]) ).

fof(f115,plain,
    ! [X0] :
      ( ~ element(X0,X0)
      | empty(X0) ),
    inference(resolution,[],[f112,f87]) ).

fof(f121,plain,
    ! [X0,X1] :
      ( ~ in(X0,X1)
      | ~ element(X1,powerset(X0))
      | empty(X0) ),
    inference(resolution,[],[f93,f115]) ).

fof(f122,plain,
    ! [X0,X1] :
      ( ~ in(X0,X1)
      | ~ element(X1,powerset(X0)) ),
    inference(forward_subsumption_resolution,[],[f121,f94]) ).

fof(f130,plain,
    ( sK8 = complements_of_subsets(sK7,empty_set)
    | ~ element(sK8,powerset(powerset(sK7))) ),
    inference(superposition,[],[f78,f91]) ).

fof(f132,plain,
    sK8 = complements_of_subsets(sK7,empty_set),
    inference(forward_subsumption_resolution,[],[f130,f90]) ).

fof(f151,plain,
    ! [X0,X1,X4] :
      ( in(subset_complement(X0,X4),X1)
      | ~ in(X4,complements_of_subsets(X0,X1))
      | ~ element(complements_of_subsets(X0,X1),powerset(powerset(X0)))
      | ~ element(X1,powerset(powerset(X0))) ),
    inference(forward_subsumption_resolution,[],[f99,f93]) ).

fof(f152,plain,
    ! [X0,X1,X4] :
      ( ~ in(X4,complements_of_subsets(X0,X1))
      | in(subset_complement(X0,X4),X1)
      | ~ element(X1,powerset(powerset(X0))) ),
    inference(forward_subsumption_resolution,[],[f151,f73]) ).

fof(f157,plain,
    ! [X0] :
      ( ~ in(X0,sK8)
      | in(subset_complement(sK7,X0),empty_set)
      | ~ element(empty_set,powerset(powerset(sK7))) ),
    inference(superposition,[],[f152,f132]) ).

fof(f160,plain,
    ! [X0] :
      ( ~ in(X0,sK8)
      | in(subset_complement(sK7,X0),empty_set) ),
    inference(forward_subsumption_resolution,[],[f157,f104]) ).

fof(f170,plain,
    ! [X0] :
      ( in(subset_complement(sK7,X0),empty_set)
      | empty(sK8)
      | ~ element(X0,sK8) ),
    inference(resolution,[],[f160,f87]) ).

fof(f173,definition,
    ( spl9_1
  <=> empty(sK8) ),
    introduced(definition,[new_symbols(definition,[spl9_1])],[avatar_definition]) ).

fof(f175,plain,
    ( empty(sK8)
    | ~ spl9_1 ),
    inference(avatar_component_clause,[],[f173]) ).

fof(f177,definition,
    ( spl9_2
  <=> ! [X0] :
        ( in(subset_complement(sK7,X0),empty_set)
        | ~ element(X0,sK8) ) ),
    introduced(definition,[new_symbols(definition,[spl9_2])],[avatar_definition]) ).

fof(f178,plain,
    ( ! [X0] :
        ( ~ element(X0,sK8)
        | in(subset_complement(sK7,X0),empty_set) )
    | ~ spl9_2 ),
    inference(avatar_component_clause,[],[f177]) ).

fof(f179,plain,
    ( spl9_1
    | spl9_2 ),
    inference(avatar_split_clause,[],[f170,f177,f173]) ).

fof(f183,plain,
    ( in(subset_complement(sK7,sK2(sK8)),empty_set)
    | ~ spl9_2 ),
    inference(resolution,[],[f178,f74]) ).

fof(f187,plain,
    ( ~ element(empty_set,powerset(subset_complement(sK7,sK2(sK8))))
    | ~ spl9_2 ),
    inference(resolution,[],[f183,f122]) ).

fof(f194,plain,
    ( $false
    | ~ spl9_2 ),
    inference(forward_subsumption_resolution,[],[f187,f104]) ).

fof(f195,plain,
    ~ spl9_2,
    inference(avatar_contradiction_clause,[],[f194]) ).

fof(f212,plain,
    ( empty_set = sK8
    | ~ spl9_1 ),
    inference(resolution,[],[f175,f95]) ).

fof(f213,plain,
    ( $false
    | ~ spl9_1 ),
    inference(forward_subsumption_resolution,[],[f212,f92]) ).

fof(f214,plain,
    ~ spl9_1,
    inference(avatar_contradiction_clause,[],[f213]) ).

cnf(s1,plain,
    ( spl9_1
    | spl9_2 ),
    inference(sat_conversion,[],[f179]) ).

cnf(s3,plain,
    ~ spl9_2,
    inference(sat_conversion,[],[f195]) ).

cnf(s5,plain,
    ~ spl9_1,
    inference(sat_conversion,[],[f214]) ).

cnf(s6,plain,
    $false,
    inference(rat,[],[s1,s3,s5]) ).

fof(f215,plain,
    $false,
    inference(avatar_sat_refutation,[],[s6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SEU174+1 : TPTP v9.3.1. Released v3.3.0.
% 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 03:53:00 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
% 2.92/1.32  % (3003613)Detected formulas, will run a generic FOF schedule.
% 2.92/1.32  % (3003720)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=4078236791:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.92/1.32  % (3003726)dis-21_1_sil=8000:lcm=predicate:random_seed=3985440830: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)
% 2.92/1.32  % (3003724)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2569625241:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.92/1.32  % (3003722)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=4284354992:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.92/1.32  % (3003721)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=2155128505:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.92/1.32  % (3003725)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=805034176:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.92/1.32  % (3003724)Refutation not found, incomplete strategy
% 2.92/1.32  % (3003724)------------------------------
% 2.92/1.32  % (3003724)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.92/1.32  % (3003724)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/1.32  % (3003724)CaDiCaL version: 2.1.3
% 2.92/1.32  % (3003724)Termination reason: Refutation not found, incomplete strategy
% 2.92/1.32  % (3003724)Time elapsed: 0.003 s
% 2.92/1.32  % (3003724)Peak memory usage: 88 MB
% 2.92/1.32  % (3003724)Instructions burned: 3 (million)
% 2.92/1.32  % (3003725)First to succeed.
% 2.92/1.32  % (3003725)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3003613"
% 2.92/1.32  % (3003723)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2375491950:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.92/1.32  % (3003723)Refutation not found, incomplete strategy
% 2.92/1.32  % (3003723)------------------------------
% 2.92/1.32  % (3003723)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.92/1.32  % (3003723)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/1.32  % (3003723)CaDiCaL version: 2.1.3
% 2.92/1.32  % (3003723)Termination reason: Refutation not found, incomplete strategy
% 2.92/1.32  % (3003723)Time elapsed: 0.002 s
% 2.92/1.32  % (3003723)Peak memory usage: 88 MB
% 2.92/1.32  % (3003723)Instructions burned: 1 (million)
% 2.92/1.32  % (3003726)Instruction limit reached! 
% 2.92/1.32  % (3003726)------------------------------
% 2.92/1.32  % (3003726)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.92/1.32  % (3003726)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/1.32  % (3003726)CaDiCaL version: 2.1.3
% 2.92/1.32  % (3003726)Termination reason: Instruction limit
% 2.92/1.32  % (3003726)Termination phase: Saturation
% 2.92/1.32  % (3003726)Time elapsed: 0.092 s
% 2.92/1.32  % (3003726)Peak memory usage: 89 MB
% 2.92/1.32  % (3003726)Instructions burned: 129 (million)
% 2.92/1.32  % (3003724)------------------------------
% 2.92/1.32  % (3003724)------------------------------
% 2.92/1.32  % (3003754)lrs+10_1_sil=8000:sp=occurrence:random_seed=1437704571:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 2.92/1.32  % (3003725)Refutation found. Thanks to Tanya!
% 2.92/1.32  % SZS status Theorem for theBenchmark
% 2.92/1.32  % SZS output start Proof for theBenchmark
% See solution above
% 3.69/1.41  % (3003725)------------------------------
% 3.69/1.41  % (3003725)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.69/1.41  % (3003725)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.69/1.41  % (3003725)CaDiCaL version: 2.1.3
% 3.69/1.41  % (3003725)Termination reason: Refutation
% 3.69/1.41  % (3003725)Time elapsed: 0.008 s
% 3.69/1.41  % (3003725)Peak memory usage: 89 MB
% 3.69/1.41  % (3003725)Instructions burned: 8 (million)
% 3.69/1.41  % (3003725)------------------------------
% 3.69/1.41  % (3003725)------------------------------
% 3.69/1.41  % (3003613)Success in time 0.444 s
% 3.69/1.41  % Vampire exiting
%------------------------------------------------------------------------------