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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : GEO125+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n026.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 09:51:37 AM UTC 2026

% Result   : Theorem 2.28s 1.82s
% Output   : Refutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   74 (  13 unt;   4 def)
%            Number of atoms       :  266 (  23 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :  307 ( 115   ~; 114   |;  62   &)
%                                         (  11 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   15 (  13 usr;   5 prp; 0-4 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-4 aty)
%            Number of variables   :  119 (   0 sgn 103   !;  16   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f17,axiom,
    ! [X0,X1,X2,X3] :
      ( between_c(X0,X1,X2,X3)
    <=> ( X1 != X3
        & ? [X4] :
            ( part_of(X4,X0)
            & end_point(X1,X4)
            & end_point(X3,X4)
            & inner_point(X2,X4) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',between_c_defn) ).

fof(f18,axiom,
    ! [X0,X1,X2,X3] :
      ( between_o(X0,X1,X2,X3)
    <=> ( ( ordered_by(X0,X1,X2)
          & ordered_by(X0,X2,X3) )
        | ( ordered_by(X0,X3,X2)
          & ordered_by(X0,X2,X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',between_o_defn) ).

fof(f20,axiom,
    ! [X0,X1] :
      ( finish_point(X0,X1)
    <=> ( incident_o(X0,X1)
        & ! [X2] :
            ( ( X0 != X2
              & incident_o(X2,X1) )
           => ordered_by(X1,X2,X0) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',finish_point_defn) ).

fof(f23,axiom,
    ! [X0,X1,X2,X3] :
      ( between_o(X3,X0,X1,X2)
    <=> ? [X4] :
          ( ! [X0] :
              ( incident_o(X0,X3)
            <=> incident_c(X0,X4) )
          & between_c(X4,X0,X1,X2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',o3) ).

fof(f28,conjecture,
    ! [X0,X1,X2] :
      ( ( finish_point(X1,X0)
        & finish_point(X2,X0) )
     => X1 = X2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',corollary_4_10_2) ).

fof(f29,negated_conjecture,
    ~ ! [X0,X1,X2] :
        ( ( finish_point(X1,X0)
          & finish_point(X2,X0) )
       => X1 = X2 ),
    inference(negated_conjecture,[status(cth)],[f28]) ).

fof(f30,plain,
    ! [X0,X1,X2,X3] :
      ( between_o(X3,X0,X1,X2)
    <=> ? [X4] :
          ( ! [X5] :
              ( incident_o(X5,X3)
            <=> incident_c(X5,X4) )
          & between_c(X4,X0,X1,X2) ) ),
    inference(rectify,[],[f23]) ).

fof(f31,plain,
    ! [X0,X1] :
      ( finish_point(X0,X1)
     => ( incident_o(X0,X1)
        & ! [X2] :
            ( ( X0 != X2
              & incident_o(X2,X1) )
           => ordered_by(X1,X2,X0) ) ) ),
    inference(unused_predicate_definition_removal,[],[f20]) ).

fof(f54,plain,
    ! [X0,X1] :
      ( ( incident_o(X0,X1)
        & ! [X2] :
            ( ordered_by(X1,X2,X0)
            | X0 = X2
            | ~ incident_o(X2,X1) ) )
      | ~ finish_point(X0,X1) ),
    inference(ennf_transformation,[],[f31]) ).

fof(f55,plain,
    ! [X0,X1] :
      ( ( incident_o(X0,X1)
        & ! [X2] :
            ( ordered_by(X1,X2,X0)
            | X0 = X2
            | ~ incident_o(X2,X1) ) )
      | ~ finish_point(X0,X1) ),
    inference(flattening,[],[f54]) ).

fof(f60,plain,
    ? [X0,X1,X2] :
      ( X1 != X2
      & finish_point(X1,X0)
      & finish_point(X2,X0) ),
    inference(ennf_transformation,[],[f29]) ).

fof(f61,plain,
    ? [X0,X1,X2] :
      ( X1 != X2
      & finish_point(X1,X0)
      & finish_point(X2,X0) ),
    inference(flattening,[],[f60]) ).

fof(f90,plain,
    ! [X0,X1,X2,X3] :
      ( ( between_c(X0,X1,X2,X3)
        | X1 = X3
        | ! [X4] :
            ( ~ part_of(X4,X0)
            | ~ end_point(X1,X4)
            | ~ end_point(X3,X4)
            | ~ inner_point(X2,X4) ) )
      & ( ( X1 != X3
          & ? [X4] :
              ( part_of(X4,X0)
              & end_point(X1,X4)
              & end_point(X3,X4)
              & inner_point(X2,X4) ) )
        | ~ between_c(X0,X1,X2,X3) ) ),
    inference(nnf_transformation,[],[f17]) ).

fof(f91,plain,
    ! [X0,X1,X2,X3] :
      ( ( between_c(X0,X1,X2,X3)
        | X1 = X3
        | ! [X4] :
            ( ~ part_of(X4,X0)
            | ~ end_point(X1,X4)
            | ~ end_point(X3,X4)
            | ~ inner_point(X2,X4) ) )
      & ( ( X1 != X3
          & ? [X4] :
              ( part_of(X4,X0)
              & end_point(X1,X4)
              & end_point(X3,X4)
              & inner_point(X2,X4) ) )
        | ~ between_c(X0,X1,X2,X3) ) ),
    inference(flattening,[],[f90]) ).

fof(f92,plain,
    ! [X0,X1,X2,X3] :
      ( ( between_c(X0,X1,X2,X3)
        | X1 = X3
        | ! [X4] :
            ( ~ part_of(X4,X0)
            | ~ end_point(X1,X4)
            | ~ end_point(X3,X4)
            | ~ inner_point(X2,X4) ) )
      & ( ( X1 != X3
          & ? [X5] :
              ( part_of(X5,X0)
              & end_point(X1,X5)
              & end_point(X3,X5)
              & inner_point(X2,X5) ) )
        | ~ between_c(X0,X1,X2,X3) ) ),
    inference(rectify,[],[f91]) ).

fof(f93,plain,
    ! [X0,X1,X2,X3] :
      ( ( between_c(X0,X1,X2,X3)
        | X1 = X3
        | ! [X4] :
            ( ~ part_of(X4,X0)
            | ~ end_point(X1,X4)
            | ~ end_point(X3,X4)
            | ~ inner_point(X2,X4) ) )
      & ( ( X1 != X3
          & part_of(sK13(X0,X1,X2,X3),X0)
          & end_point(X1,sK13(X0,X1,X2,X3))
          & end_point(X3,sK13(X0,X1,X2,X3))
          & inner_point(X2,sK13(X0,X1,X2,X3)) )
        | ~ between_c(X0,X1,X2,X3) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK13]),skolemize(X5,sK13(X0,X1,X2,X3))],[f92]) ).

fof(f94,plain,
    ! [X0,X1,X2,X3] :
      ( ( between_o(X0,X1,X2,X3)
        | ( ( ~ ordered_by(X0,X1,X2)
            | ~ ordered_by(X0,X2,X3) )
          & ( ~ ordered_by(X0,X3,X2)
            | ~ ordered_by(X0,X2,X1) ) ) )
      & ( ( ordered_by(X0,X1,X2)
          & ordered_by(X0,X2,X3) )
        | ( ordered_by(X0,X3,X2)
          & ordered_by(X0,X2,X1) )
        | ~ between_o(X0,X1,X2,X3) ) ),
    inference(nnf_transformation,[],[f18]) ).

fof(f95,plain,
    ! [X0,X1,X2,X3] :
      ( ( between_o(X0,X1,X2,X3)
        | ( ( ~ ordered_by(X0,X1,X2)
            | ~ ordered_by(X0,X2,X3) )
          & ( ~ ordered_by(X0,X3,X2)
            | ~ ordered_by(X0,X2,X1) ) ) )
      & ( ( ordered_by(X0,X1,X2)
          & ordered_by(X0,X2,X3) )
        | ( ordered_by(X0,X3,X2)
          & ordered_by(X0,X2,X1) )
        | ~ between_o(X0,X1,X2,X3) ) ),
    inference(flattening,[],[f94]) ).

fof(f98,plain,
    ! [X0,X1,X2,X3] :
      ( ( between_o(X3,X0,X1,X2)
        | ! [X4] :
            ( ? [X5] :
                ( ( ~ incident_c(X5,X4)
                  | ~ incident_o(X5,X3) )
                & ( incident_c(X5,X4)
                  | incident_o(X5,X3) ) )
            | ~ between_c(X4,X0,X1,X2) ) )
      & ( ? [X4] :
            ( ! [X5] :
                ( ( incident_o(X5,X3)
                  | ~ incident_c(X5,X4) )
                & ( incident_c(X5,X4)
                  | ~ incident_o(X5,X3) ) )
            & between_c(X4,X0,X1,X2) )
        | ~ between_o(X3,X0,X1,X2) ) ),
    inference(nnf_transformation,[],[f30]) ).

fof(f99,plain,
    ! [X0,X1,X2,X3] :
      ( ( between_o(X3,X0,X1,X2)
        | ! [X4] :
            ( ? [X5] :
                ( ( ~ incident_c(X5,X4)
                  | ~ incident_o(X5,X3) )
                & ( incident_c(X5,X4)
                  | incident_o(X5,X3) ) )
            | ~ between_c(X4,X0,X1,X2) ) )
      & ( ? [X6] :
            ( ! [X7] :
                ( ( incident_o(X7,X3)
                  | ~ incident_c(X7,X6) )
                & ( incident_c(X7,X6)
                  | ~ incident_o(X7,X3) ) )
            & between_c(X6,X0,X1,X2) )
        | ~ between_o(X3,X0,X1,X2) ) ),
    inference(rectify,[],[f98]) ).

fof(f100,plain,
    ! [X0,X1,X2,X3] :
      ( ( between_o(X3,X0,X1,X2)
        | ! [X4] :
            ( ( ( ~ incident_c(sK15(X3,X4),X4)
                | ~ incident_o(sK15(X3,X4),X3) )
              & ( incident_c(sK15(X3,X4),X4)
                | incident_o(sK15(X3,X4),X3) ) )
            | ~ between_c(X4,X0,X1,X2) ) )
      & ( ( ! [X7] :
              ( ( incident_o(X7,X3)
                | ~ incident_c(X7,sK16(X0,X1,X2,X3)) )
              & ( incident_c(X7,sK16(X0,X1,X2,X3))
                | ~ incident_o(X7,X3) ) )
          & between_c(sK16(X0,X1,X2,X3),X0,X1,X2) )
        | ~ between_o(X3,X0,X1,X2) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK15,sK16]),skolemize(X5,sK15(X3,X4)),skolemize(X6,sK16(X0,X1,X2,X3))],[f99]) ).

fof(f109,plain,
    ( sK23 != sK24
    & finish_point(sK23,sK22)
    & finish_point(sK24,sK22) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK22,sK23,sK24]),skolemize(X0,sK22),skolemize(X1,sK23),skolemize(X2,sK24)],[f61]) ).

fof(f156,plain,
    ! [X2,X3,X0,X1] :
      ( X1 != X3
      | ~ between_c(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f93]) ).

fof(f163,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ordered_by(X0,X1,X2)
      | between_o(X0,X1,X2,X3)
      | ~ ordered_by(X0,X2,X3) ),
    inference(cnf_transformation,[],[f95]) ).

fof(f166,plain,
    ! [X2,X0,X1] :
      ( ordered_by(X1,X2,X0)
      | X0 = X2
      | ~ incident_o(X2,X1)
      | ~ finish_point(X0,X1) ),
    inference(cnf_transformation,[],[f55]) ).

fof(f167,plain,
    ! [X0,X1] :
      ( incident_o(X0,X1)
      | ~ finish_point(X0,X1) ),
    inference(cnf_transformation,[],[f55]) ).

fof(f173,plain,
    ! [X2,X3,X0,X1] :
      ( ~ between_o(X3,X0,X1,X2)
      | between_c(sK16(X0,X1,X2,X3),X0,X1,X2) ),
    inference(cnf_transformation,[],[f100]) ).

fof(f188,plain,
    finish_point(sK24,sK22),
    inference(cnf_transformation,[],[f109]) ).

fof(f189,plain,
    finish_point(sK23,sK22),
    inference(cnf_transformation,[],[f109]) ).

fof(f190,plain,
    sK23 != sK24,
    inference(cnf_transformation,[],[f109]) ).

fof(f195,plain,
    ! [X2,X3,X0] : ~ between_c(X0,X3,X2,X3),
    inference(equality_resolution,[],[f156]) ).

fof(f1034,definition,
    ( spl25_3
  <=> incident_o(sK24,sK22) ),
    introduced(definition,[new_symbols(definition,[spl25_3])],[avatar_definition]) ).

fof(f1035,plain,
    ( incident_o(sK24,sK22)
    | ~ spl25_3 ),
    inference(avatar_component_clause,[],[f1034]) ).

fof(f1036,plain,
    ( ~ incident_o(sK24,sK22)
    | spl25_3 ),
    inference(avatar_component_clause,[],[f1034]) ).

fof(f1044,plain,
    ( ~ finish_point(sK24,sK22)
    | spl25_3 ),
    inference(resolution,[],[f1036,f167]) ).

fof(f1053,plain,
    ( $false
    | spl25_3 ),
    inference(forward_subsumption_resolution,[],[f1044,f188]) ).

fof(f1054,plain,
    spl25_3,
    inference(avatar_contradiction_clause,[],[f1053]) ).

fof(f1067,definition,
    ( spl25_7
  <=> incident_o(sK23,sK22) ),
    introduced(definition,[new_symbols(definition,[spl25_7])],[avatar_definition]) ).

fof(f1068,plain,
    ( incident_o(sK23,sK22)
    | ~ spl25_7 ),
    inference(avatar_component_clause,[],[f1067]) ).

fof(f1069,plain,
    ( ~ incident_o(sK23,sK22)
    | spl25_7 ),
    inference(avatar_component_clause,[],[f1067]) ).

fof(f1077,plain,
    ( ~ finish_point(sK23,sK22)
    | spl25_7 ),
    inference(resolution,[],[f1069,f167]) ).

fof(f1086,plain,
    ( $false
    | spl25_7 ),
    inference(forward_subsumption_resolution,[],[f1077,f189]) ).

fof(f1087,plain,
    spl25_7,
    inference(avatar_contradiction_clause,[],[f1086]) ).

fof(f1170,definition,
    ( spl25_9
  <=> ordered_by(sK22,sK23,sK24) ),
    introduced(definition,[new_symbols(definition,[spl25_9])],[avatar_definition]) ).

fof(f1171,plain,
    ( ~ ordered_by(sK22,sK23,sK24)
    | spl25_9 ),
    inference(avatar_component_clause,[],[f1170]) ).

fof(f1172,plain,
    ( ordered_by(sK22,sK23,sK24)
    | ~ spl25_9 ),
    inference(avatar_component_clause,[],[f1170]) ).

fof(f1178,definition,
    ( spl25_11
  <=> ordered_by(sK22,sK24,sK23) ),
    introduced(definition,[new_symbols(definition,[spl25_11])],[avatar_definition]) ).

fof(f1179,plain,
    ( ~ ordered_by(sK22,sK24,sK23)
    | spl25_11 ),
    inference(avatar_component_clause,[],[f1178]) ).

fof(f1180,plain,
    ( ordered_by(sK22,sK24,sK23)
    | ~ spl25_11 ),
    inference(avatar_component_clause,[],[f1178]) ).

fof(f1235,plain,
    ( sK23 = sK24
    | ~ incident_o(sK23,sK22)
    | ~ finish_point(sK24,sK22)
    | spl25_9 ),
    inference(resolution,[],[f1171,f166]) ).

fof(f1237,plain,
    ( ~ incident_o(sK23,sK22)
    | ~ finish_point(sK24,sK22)
    | spl25_9 ),
    inference(forward_subsumption_resolution,[],[f1235,f190]) ).

fof(f1238,plain,
    ( ~ finish_point(sK24,sK22)
    | ~ spl25_7
    | spl25_9 ),
    inference(forward_subsumption_resolution,[],[f1237,f1068]) ).

fof(f1239,plain,
    ( $false
    | ~ spl25_7
    | spl25_9 ),
    inference(forward_subsumption_resolution,[],[f1238,f188]) ).

fof(f1240,plain,
    ( ~ spl25_7
    | spl25_9 ),
    inference(avatar_contradiction_clause,[],[f1239]) ).

fof(f1252,plain,
    ( ! [X0] :
        ( ~ ordered_by(sK22,sK24,X0)
        | between_o(sK22,sK23,sK24,X0) )
    | ~ spl25_9 ),
    inference(resolution,[],[f1172,f163]) ).

fof(f1286,plain,
    ( sK23 = sK24
    | ~ incident_o(sK24,sK22)
    | ~ finish_point(sK23,sK22)
    | spl25_11 ),
    inference(resolution,[],[f1179,f166]) ).

fof(f1288,plain,
    ( ~ incident_o(sK24,sK22)
    | ~ finish_point(sK23,sK22)
    | spl25_11 ),
    inference(forward_subsumption_resolution,[],[f1286,f190]) ).

fof(f1289,plain,
    ( ~ finish_point(sK23,sK22)
    | ~ spl25_3
    | spl25_11 ),
    inference(forward_subsumption_resolution,[],[f1288,f1035]) ).

fof(f1290,plain,
    ( $false
    | ~ spl25_3
    | spl25_11 ),
    inference(forward_subsumption_resolution,[],[f1289,f189]) ).

fof(f1291,plain,
    ( ~ spl25_3
    | spl25_11 ),
    inference(avatar_contradiction_clause,[],[f1290]) ).

fof(f2092,plain,
    ( between_o(sK22,sK23,sK24,sK23)
    | ~ spl25_9
    | ~ spl25_11 ),
    inference(resolution,[],[f1252,f1180]) ).

fof(f2102,plain,
    ( between_c(sK16(sK23,sK24,sK23,sK22),sK23,sK24,sK23)
    | ~ spl25_9
    | ~ spl25_11 ),
    inference(resolution,[],[f2092,f173]) ).

fof(f2107,plain,
    ( $false
    | ~ spl25_9
    | ~ spl25_11 ),
    inference(forward_subsumption_resolution,[],[f2102,f195]) ).

fof(f2108,plain,
    ( ~ spl25_9
    | ~ spl25_11 ),
    inference(avatar_contradiction_clause,[],[f2107]) ).

cnf(s3,plain,
    spl25_3,
    inference(sat_conversion,[],[f1054]) ).

cnf(s6,plain,
    spl25_7,
    inference(sat_conversion,[],[f1087]) ).

cnf(s12,plain,
    ( ~ spl25_7
    | spl25_9 ),
    inference(sat_conversion,[],[f1240]) ).

cnf(s17,plain,
    ( ~ spl25_3
    | spl25_11 ),
    inference(sat_conversion,[],[f1291]) ).

cnf(s46,plain,
    ( ~ spl25_9
    | ~ spl25_11 ),
    inference(sat_conversion,[],[f2108]) ).

cnf(s50,plain,
    spl25_9,
    inference(rat,[],[s12,s6]) ).

cnf(s51,plain,
    ~ spl25_11,
    inference(rat,[],[s46,s50]) ).

cnf(s52,plain,
    ~ spl25_3,
    inference(rat,[],[s17,s51]) ).

cnf(s54,plain,
    $false,
    inference(rat,[],[s3,s52]) ).

fof(f2109,plain,
    $false,
    inference(avatar_sat_refutation,[],[s54]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GEO125+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.41  % Computer : n026.cluster.edu
% 0.15/0.41  % Model    : x86_64 x86_64
% 0.15/0.41  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.41  % Memory   : 8046.5625MB
% 0.15/0.41  % OS       : Linux 6.8.0-71-generic
% 0.15/0.41  % CPULimit : 300
% 0.15/0.41  % WCLimit  : 300
% 0.15/0.41  % DateTime : Sun Sep 27 07:10:26 UTC 2026
% 0.15/0.41  % CPUTime  : 
% 0.15/0.41  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.47  Running first-order theorem proving
% 0.15/0.47  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.28/1.82  % (2481041)Detected formulas, will run a generic FOF schedule.
% 2.28/1.82  % (2481047)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=371600212:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.28/1.82  % (2481052)dis-21_1_sil=8000:lcm=predicate:random_seed=3300508374: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)
% 2.28/1.82  % (2481046)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=2299392180:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.28/1.82  % (2481048)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=1548387851:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.28/1.82  % (2481049)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3995430279:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.28/1.82  % (2481049)Refutation not found, incomplete strategy
% 2.28/1.82  % (2481049)------------------------------
% 2.28/1.82  % (2481049)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.28/1.82  % (2481049)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.28/1.82  % (2481049)CaDiCaL version: 2.1.3
% 2.28/1.82  % (2481049)Termination reason: Refutation not found, incomplete strategy
% 2.28/1.82  % (2481049)Time elapsed: 0.001 s
% 2.28/1.82  % (2481049)Peak memory usage: 88 MB
% 2.28/1.82  % (2481050)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2796931853:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.28/1.82  % (2481050)Refutation not found, incomplete strategy
% 2.28/1.82  % (2481050)------------------------------
% 2.28/1.82  % (2481050)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.28/1.82  % (2481050)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.28/1.82  % (2481050)CaDiCaL version: 2.1.3
% 2.28/1.82  % (2481050)Termination reason: Refutation not found, incomplete strategy
% 2.28/1.82  % (2481050)Time elapsed: 0.003 s
% 2.28/1.82  % (2481050)Peak memory usage: 88 MB
% 2.28/1.82  % (2481050)Instructions burned: 2 (million)
% 2.28/1.82  % (2481051)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3464078308:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.28/1.82  % (2481052)Instruction limit reached! 
% 2.28/1.82  % (2481052)------------------------------
% 2.28/1.82  % (2481052)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.28/1.82  % (2481052)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.28/1.82  % (2481052)CaDiCaL version: 2.1.3
% 2.28/1.82  % (2481052)Termination reason: Instruction limit
% 2.28/1.82  % (2481052)Termination phase: Saturation
% 2.28/1.82  % (2481052)Time elapsed: 0.088 s
% 2.28/1.82  % (2481052)Peak memory usage: 89 MB
% 2.28/1.82  % (2481052)Instructions burned: 130 (million)
% 2.28/1.82  % (2481051)First to succeed.
% 2.28/1.82  % (2481051)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2481041"
% 2.28/1.82  % (2481060)lrs+10_1_sil=8000:sp=occurrence:random_seed=2019184730:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 2.28/1.82  % (2481060)Also succeeded, but the first one will report.
% 2.28/1.82  % (2481050)------------------------------
% 2.28/1.82  % (2481050)------------------------------
% 2.28/1.82  % (2481049)------------------------------
% 2.28/1.82  % (2481049)------------------------------
% 2.28/1.82  % (2481047)Also succeeded, but the first one will report.
% 2.28/1.82  % (2481051)Refutation found. Thanks to Tanya!
% 2.28/1.82  % SZS status Theorem for theBenchmark
% 2.28/1.82  % SZS output start Proof for theBenchmark
% See solution above
% 0.23/2.16  % (2481051)------------------------------
% 0.23/2.16  % (2481051)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.23/2.16  % (2481051)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/2.16  % (2481051)CaDiCaL version: 2.1.3
% 0.23/2.16  % (2481051)Termination reason: Refutation
% 0.23/2.16  % (2481051)Time elapsed: 0.108 s
% 0.23/2.16  % (2481051)Peak memory usage: 91 MB
% 0.23/2.16  % (2481051)Instructions burned: 106 (million)
% 0.23/2.16  % (2481051)------------------------------
% 0.23/2.16  % (2481051)------------------------------
% 0.23/2.16  % (2481041)Success in time 0.744 s
% 0.23/2.16  % Vampire exiting
%------------------------------------------------------------------------------