↑ Up

Vampire---5.0.1.THM-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SEU280+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n008.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 12:48:08 PM UTC 2026

% Result   : Theorem 3.37s 1.35s
% Output   : Refutation 3.37s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   24
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   85 (   6 unt;   9 def)
%            Number of atoms       :  315 (  58 equ)
%            Maximal formula atoms :    9 (   3 avg)
%            Number of connectives :  374 ( 144   ~; 152   |;  58   &)
%                                         (  15 <=>;   4  =>;   0  <=;   1 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   13 (  11 usr;  10 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :  107 (   0 sgn  70   !;  37   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ! [X0] :
    ? [X1] :
    ! [X2] :
      ( in(X2,X1)
    <=> ( in(X2,X0)
        & ordinal(X2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_xboole_0__e6_22__wellord2) ).

fof(f2,negated_conjecture,
    ~ ! [X0] :
      ? [X1] :
      ! [X2] :
        ( in(X2,X1)
      <=> ( in(X2,X0)
          & ordinal(X2) ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f7,axiom,
    ! [X0] :
      ( ! [X1,X2,X3] :
          ( ( X1 = X2
            & ordinal(X2)
            & X1 = X3
            & ordinal(X3) )
         => X2 = X3 )
     => ? [X1] :
        ! [X2] :
          ( in(X2,X1)
        <=> ? [X3] :
              ( in(X3,X0)
              & X3 = X2
              & ordinal(X2) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_tarski__e6_22__wellord2__1) ).

fof(f8,plain,
    ! [X0] :
      ( ! [X1,X2,X3] :
          ( ( X1 = X2
            & ordinal(X2)
            & X1 = X3
            & ordinal(X3) )
         => X2 = X3 )
     => ? [X4] :
        ! [X5] :
          ( in(X5,X4)
        <=> ? [X6] :
              ( in(X6,X0)
              & X5 = X6
              & ordinal(X5) ) ) ),
    inference(rectify,[],[f7]) ).

fof(f9,plain,
    ? [X0] :
    ! [X1] :
    ? [X2] :
      ( in(X2,X1)
    <~> ( in(X2,X0)
        & ordinal(X2) ) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f10,plain,
    ! [X0] :
      ( ? [X4] :
        ! [X5] :
          ( in(X5,X4)
        <=> ? [X6] :
              ( in(X6,X0)
              & X5 = X6
              & ordinal(X5) ) )
      | ? [X1,X2,X3] :
          ( X2 != X3
          & X1 = X2
          & ordinal(X2)
          & X1 = X3
          & ordinal(X3) ) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f11,plain,
    ! [X0] :
      ( ? [X4] :
        ! [X5] :
          ( in(X5,X4)
        <=> ? [X6] :
              ( in(X6,X0)
              & X5 = X6
              & ordinal(X5) ) )
      | ? [X1,X2,X3] :
          ( X2 != X3
          & X1 = X2
          & ordinal(X2)
          & X1 = X3
          & ordinal(X3) ) ),
    inference(flattening,[],[f10]) ).

fof(f16,definition,
    ( ? [X1,X2,X3] :
        ( X2 != X3
        & X1 = X2
        & ordinal(X2)
        & X1 = X3
        & ordinal(X3) )
    | ~ sP0 ),
    introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).

fof(f17,plain,
    ! [X0] :
      ( ? [X4] :
        ! [X5] :
          ( in(X5,X4)
        <=> ? [X6] :
              ( in(X6,X0)
              & X5 = X6
              & ordinal(X5) ) )
      | sP0 ),
    inference(definition_folding,[],[f11,f16]) ).

fof(f18,plain,
    ? [X0] :
    ! [X1] :
    ? [X2] :
      ( ( ~ in(X2,X0)
        | ~ ordinal(X2)
        | ~ in(X2,X1) )
      & ( ( in(X2,X0)
          & ordinal(X2) )
        | in(X2,X1) ) ),
    inference(nnf_transformation,[],[f9]) ).

fof(f19,plain,
    ? [X0] :
    ! [X1] :
    ? [X2] :
      ( ( ~ in(X2,X0)
        | ~ ordinal(X2)
        | ~ in(X2,X1) )
      & ( ( in(X2,X0)
          & ordinal(X2) )
        | in(X2,X1) ) ),
    inference(flattening,[],[f18]) ).

fof(f20,plain,
    ! [X1] :
      ( ( ~ in(sK2(X1),sK1)
        | ~ ordinal(sK2(X1))
        | ~ in(sK2(X1),X1) )
      & ( ( in(sK2(X1),sK1)
          & ordinal(sK2(X1)) )
        | in(sK2(X1),X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2]),skolemize(X0,sK1),skolemize(X2,sK2(X1))],[f19]) ).

fof(f21,plain,
    ( ? [X1,X2,X3] :
        ( X2 != X3
        & X1 = X2
        & ordinal(X2)
        & X1 = X3
        & ordinal(X3) )
    | ~ sP0 ),
    inference(nnf_transformation,[],[f16]) ).

fof(f22,plain,
    ( ? [X0,X1,X2] :
        ( X1 != X2
        & X0 = X1
        & ordinal(X1)
        & X0 = X2
        & ordinal(X2) )
    | ~ sP0 ),
    inference(rectify,[],[f21]) ).

fof(f23,plain,
    ( ( sK4 != sK5
      & sK3 = sK4
      & ordinal(sK4)
      & sK3 = sK5
      & ordinal(sK5) )
    | ~ sP0 ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4,sK5]),skolemize(X0,sK3),skolemize(X1,sK4),skolemize(X2,sK5)],[f22]) ).

fof(f24,plain,
    ! [X0] :
      ( ? [X4] :
        ! [X5] :
          ( ( in(X5,X4)
            | ! [X6] :
                ( ~ in(X6,X0)
                | X5 != X6
                | ~ ordinal(X5) ) )
          & ( ? [X6] :
                ( in(X6,X0)
                & X5 = X6
                & ordinal(X5) )
            | ~ in(X5,X4) ) )
      | sP0 ),
    inference(nnf_transformation,[],[f17]) ).

fof(f25,plain,
    ! [X0] :
      ( ? [X1] :
        ! [X2] :
          ( ( in(X2,X1)
            | ! [X3] :
                ( ~ in(X3,X0)
                | X2 != X3
                | ~ ordinal(X2) ) )
          & ( ? [X4] :
                ( in(X4,X0)
                & X2 = X4
                & ordinal(X2) )
            | ~ in(X2,X1) ) )
      | sP0 ),
    inference(rectify,[],[f24]) ).

fof(f26,plain,
    ! [X0] :
      ( ! [X2] :
          ( ( in(X2,sK6(X0))
            | ! [X3] :
                ( ~ in(X3,X0)
                | X2 != X3
                | ~ ordinal(X2) ) )
          & ( ( in(sK7(X0,X2),X0)
              & sK7(X0,X2) = X2
              & ordinal(X2) )
            | ~ in(X2,sK6(X0)) ) )
      | sP0 ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK6,sK7]),skolemize(X1,sK6(X0)),skolemize(X4,sK7(X0,X2))],[f25]) ).

fof(f28,plain,
    ! [X1] :
      ( in(sK2(X1),X1)
      | ordinal(sK2(X1)) ),
    inference(cnf_transformation,[],[f20]) ).

fof(f29,plain,
    ! [X1] :
      ( in(sK2(X1),sK1)
      | in(sK2(X1),X1) ),
    inference(cnf_transformation,[],[f20]) ).

fof(f30,plain,
    ! [X1] :
      ( ~ in(sK2(X1),sK1)
      | ~ ordinal(sK2(X1))
      | ~ in(sK2(X1),X1) ),
    inference(cnf_transformation,[],[f20]) ).

fof(f32,plain,
    ( sK3 = sK5
    | ~ sP0 ),
    inference(cnf_transformation,[],[f23]) ).

fof(f34,plain,
    ( sK3 = sK4
    | ~ sP0 ),
    inference(cnf_transformation,[],[f23]) ).

fof(f35,plain,
    ( sK4 != sK5
    | ~ sP0 ),
    inference(cnf_transformation,[],[f23]) ).

fof(f36,plain,
    ! [X2,X0] :
      ( ordinal(X2)
      | ~ in(X2,sK6(X0))
      | sP0 ),
    inference(cnf_transformation,[],[f26]) ).

fof(f37,plain,
    ! [X2,X0] :
      ( sK7(X0,X2) = X2
      | ~ in(X2,sK6(X0))
      | sP0 ),
    inference(cnf_transformation,[],[f26]) ).

fof(f38,plain,
    ! [X2,X0] :
      ( in(sK7(X0,X2),X0)
      | ~ in(X2,sK6(X0))
      | sP0 ),
    inference(cnf_transformation,[],[f26]) ).

fof(f39,plain,
    ! [X2,X3,X0] :
      ( in(X2,sK6(X0))
      | ~ in(X3,X0)
      | X2 != X3
      | ~ ordinal(X2)
      | sP0 ),
    inference(cnf_transformation,[],[f26]) ).

fof(f47,plain,
    ! [X3,X0] :
      ( in(X3,sK6(X0))
      | ~ in(X3,X0)
      | ~ ordinal(X3)
      | sP0 ),
    inference(equality_resolution,[],[f39]) ).

fof(f49,definition,
    ( spl9_1
  <=> sP0 ),
    introduced(definition,[new_symbols(definition,[spl9_1])],[avatar_definition]) ).

fof(f53,definition,
    ( spl9_2
  <=> ! [X2,X0] :
        ( ordinal(X2)
        | ~ in(X2,sK6(X0)) ) ),
    introduced(definition,[new_symbols(definition,[spl9_2])],[avatar_definition]) ).

fof(f54,plain,
    ( ! [X2,X0] :
        ( ~ in(X2,sK6(X0))
        | ordinal(X2) )
    | ~ spl9_2 ),
    inference(avatar_component_clause,[],[f53]) ).

fof(f55,plain,
    ( spl9_1
    | spl9_2 ),
    inference(avatar_split_clause,[],[f36,f53,f49]) ).

fof(f57,definition,
    ( spl9_3
  <=> ! [X2,X0] :
        ( sK7(X0,X2) = X2
        | ~ in(X2,sK6(X0)) ) ),
    introduced(definition,[new_symbols(definition,[spl9_3])],[avatar_definition]) ).

fof(f58,plain,
    ( ! [X2,X0] :
        ( ~ in(X2,sK6(X0))
        | sK7(X0,X2) = X2 )
    | ~ spl9_3 ),
    inference(avatar_component_clause,[],[f57]) ).

fof(f59,plain,
    ( spl9_1
    | spl9_3 ),
    inference(avatar_split_clause,[],[f37,f57,f49]) ).

fof(f61,definition,
    ( spl9_4
  <=> ! [X2,X0] :
        ( in(sK7(X0,X2),X0)
        | ~ in(X2,sK6(X0)) ) ),
    introduced(definition,[new_symbols(definition,[spl9_4])],[avatar_definition]) ).

fof(f62,plain,
    ( ! [X2,X0] :
        ( in(sK7(X0,X2),X0)
        | ~ in(X2,sK6(X0)) )
    | ~ spl9_4 ),
    inference(avatar_component_clause,[],[f61]) ).

fof(f63,plain,
    ( spl9_1
    | spl9_4 ),
    inference(avatar_split_clause,[],[f38,f61,f49]) ).

fof(f65,definition,
    ( spl9_5
  <=> ! [X0,X3] :
        ( in(X3,sK6(X0))
        | ~ ordinal(X3)
        | ~ in(X3,X0) ) ),
    introduced(definition,[new_symbols(definition,[spl9_5])],[avatar_definition]) ).

fof(f66,plain,
    ( ! [X3,X0] :
        ( in(X3,sK6(X0))
        | ~ ordinal(X3)
        | ~ in(X3,X0) )
    | ~ spl9_5 ),
    inference(avatar_component_clause,[],[f65]) ).

fof(f67,plain,
    ( spl9_1
    | spl9_5 ),
    inference(avatar_split_clause,[],[f47,f65,f49]) ).

fof(f74,definition,
    ( spl9_7
  <=> sK3 = sK5 ),
    introduced(definition,[new_symbols(definition,[spl9_7])],[avatar_definition]) ).

fof(f76,plain,
    ( sK3 = sK5
    | ~ spl9_7 ),
    inference(avatar_component_clause,[],[f74]) ).

fof(f77,plain,
    ( ~ spl9_1
    | spl9_7 ),
    inference(avatar_split_clause,[],[f32,f74,f49]) ).

fof(f84,definition,
    ( spl9_9
  <=> sK3 = sK4 ),
    introduced(definition,[new_symbols(definition,[spl9_9])],[avatar_definition]) ).

fof(f86,plain,
    ( sK3 = sK4
    | ~ spl9_9 ),
    inference(avatar_component_clause,[],[f84]) ).

fof(f87,plain,
    ( ~ spl9_1
    | spl9_9 ),
    inference(avatar_split_clause,[],[f34,f84,f49]) ).

fof(f89,definition,
    ( spl9_10
  <=> sK4 = sK5 ),
    introduced(definition,[new_symbols(definition,[spl9_10])],[avatar_definition]) ).

fof(f91,plain,
    ( sK4 != sK5
    | spl9_10 ),
    inference(avatar_component_clause,[],[f89]) ).

fof(f92,plain,
    ( ~ spl9_1
    | ~ spl9_10 ),
    inference(avatar_split_clause,[],[f35,f89,f49]) ).

fof(f106,plain,
    ( ! [X0] :
        ( ordinal(sK2(sK6(X0)))
        | ordinal(sK2(sK6(X0))) )
    | ~ spl9_2 ),
    inference(resolution,[],[f54,f28]) ).

fof(f107,plain,
    ( ! [X0] : ordinal(sK2(sK6(X0)))
    | ~ spl9_2 ),
    inference(duplicate_literal_removal,[],[f106]) ).

fof(f110,plain,
    ( ! [X0] :
        ( in(sK2(sK6(X0)),sK1)
        | sK2(sK6(X0)) = sK7(X0,sK2(sK6(X0))) )
    | ~ spl9_3 ),
    inference(resolution,[],[f58,f29]) ).

fof(f116,plain,
    ( ! [X0,X1] :
        ( ~ in(X0,X1)
        | ~ ordinal(X0)
        | sK7(X1,X0) = X0 )
    | ~ spl9_3
    | ~ spl9_5 ),
    inference(resolution,[],[f66,f58]) ).

fof(f131,plain,
    ( ! [X0] :
        ( ~ ordinal(sK2(sK6(X0)))
        | sK2(sK6(X0)) = sK7(sK1,sK2(sK6(X0)))
        | sK2(sK6(X0)) = sK7(X0,sK2(sK6(X0))) )
    | ~ spl9_3
    | ~ spl9_5 ),
    inference(resolution,[],[f116,f110]) ).

fof(f135,plain,
    ( ! [X0] :
        ( sK2(sK6(X0)) = sK7(sK1,sK2(sK6(X0)))
        | sK2(sK6(X0)) = sK7(X0,sK2(sK6(X0))) )
    | ~ spl9_2
    | ~ spl9_3
    | ~ spl9_5 ),
    inference(forward_subsumption_resolution,[],[f131,f107]) ).

fof(f162,plain,
    ( sK2(sK6(sK1)) != sK2(sK6(sK1))
    | sK2(sK6(sK1)) = sK7(sK1,sK2(sK6(sK1)))
    | ~ spl9_2
    | ~ spl9_3
    | ~ spl9_5 ),
    inference(equality_factoring,[],[f135]) ).

fof(f163,plain,
    ( sK2(sK6(sK1)) = sK7(sK1,sK2(sK6(sK1)))
    | ~ spl9_2
    | ~ spl9_3
    | ~ spl9_5 ),
    inference(trivial_inequality_removal,[],[f162]) ).

fof(f168,plain,
    ( in(sK2(sK6(sK1)),sK1)
    | ~ in(sK2(sK6(sK1)),sK6(sK1))
    | ~ spl9_2
    | ~ spl9_3
    | ~ spl9_4
    | ~ spl9_5 ),
    inference(superposition,[],[f62,f163]) ).

fof(f169,plain,
    ( in(sK2(sK6(sK1)),sK1)
    | ~ spl9_2
    | ~ spl9_3
    | ~ spl9_4
    | ~ spl9_5 ),
    inference(forward_subsumption_resolution,[],[f168,f29]) ).

fof(f174,plain,
    ( ~ ordinal(sK2(sK6(sK1)))
    | ~ in(sK2(sK6(sK1)),sK6(sK1))
    | ~ spl9_2
    | ~ spl9_3
    | ~ spl9_4
    | ~ spl9_5 ),
    inference(resolution,[],[f169,f30]) ).

fof(f177,plain,
    ( ~ in(sK2(sK6(sK1)),sK6(sK1))
    | ~ spl9_2
    | ~ spl9_3
    | ~ spl9_4
    | ~ spl9_5 ),
    inference(forward_subsumption_resolution,[],[f174,f54]) ).

fof(f201,plain,
    ( ~ ordinal(sK2(sK6(sK1)))
    | ~ in(sK2(sK6(sK1)),sK1)
    | ~ spl9_2
    | ~ spl9_3
    | ~ spl9_4
    | ~ spl9_5 ),
    inference(resolution,[],[f177,f66]) ).

fof(f202,plain,
    ( ~ in(sK2(sK6(sK1)),sK1)
    | ~ spl9_2
    | ~ spl9_3
    | ~ spl9_4
    | ~ spl9_5 ),
    inference(forward_subsumption_resolution,[],[f201,f107]) ).

fof(f203,plain,
    ( $false
    | ~ spl9_2
    | ~ spl9_3
    | ~ spl9_4
    | ~ spl9_5 ),
    inference(forward_subsumption_resolution,[],[f202,f169]) ).

fof(f204,plain,
    ( ~ spl9_2
    | ~ spl9_3
    | ~ spl9_4
    | ~ spl9_5 ),
    inference(avatar_contradiction_clause,[],[f203]) ).

fof(f205,plain,
    ( sK3 != sK4
    | ~ spl9_7
    | spl9_10 ),
    inference(forward_demodulation,[],[f91,f76]) ).

fof(f206,plain,
    ( $false
    | ~ spl9_7
    | ~ spl9_9
    | spl9_10 ),
    inference(forward_subsumption_resolution,[],[f205,f86]) ).

fof(f207,plain,
    ( ~ spl9_7
    | ~ spl9_9
    | spl9_10 ),
    inference(avatar_contradiction_clause,[],[f206]) ).

cnf(s1,plain,
    ( spl9_1
    | spl9_2 ),
    inference(sat_conversion,[],[f55]) ).

cnf(s2,plain,
    ( spl9_1
    | spl9_3 ),
    inference(sat_conversion,[],[f59]) ).

cnf(s3,plain,
    ( spl9_1
    | spl9_4 ),
    inference(sat_conversion,[],[f63]) ).

cnf(s4,plain,
    ( spl9_1
    | spl9_5 ),
    inference(sat_conversion,[],[f67]) ).

cnf(s6,plain,
    ( ~ spl9_1
    | spl9_7 ),
    inference(sat_conversion,[],[f77]) ).

cnf(s8,plain,
    ( ~ spl9_1
    | spl9_9 ),
    inference(sat_conversion,[],[f87]) ).

cnf(s9,plain,
    ( ~ spl9_1
    | ~ spl9_10 ),
    inference(sat_conversion,[],[f92]) ).

cnf(s10,plain,
    ( ~ spl9_2
    | ~ spl9_3
    | ~ spl9_4
    | ~ spl9_5 ),
    inference(sat_conversion,[],[f204]) ).

cnf(s11,plain,
    ( ~ spl9_7
    | ~ spl9_9
    | spl9_10 ),
    inference(sat_conversion,[],[f207]) ).

cnf(s12,plain,
    spl9_1,
    inference(rat,[],[s10,s1,s2,s3,s4]) ).

cnf(s13,plain,
    ~ spl9_10,
    inference(rat,[],[s9,s12]) ).

cnf(s14,plain,
    spl9_9,
    inference(rat,[],[s8,s12]) ).

cnf(s16,plain,
    spl9_7,
    inference(rat,[],[s6,s12]) ).

cnf(s18,plain,
    $false,
    inference(rat,[],[s11,s13,s14,s16]) ).

fof(f208,plain,
    $false,
    inference(avatar_sat_refutation,[],[s18]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SEU280+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38  % Computer : n008.cluster.edu
% 0.11/0.38  % Model    : x86_64 x86_64
% 0.11/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38  % Memory   : 8046.5625MB
% 0.11/0.38  % OS       : Linux 6.8.0-71-generic
% 0.11/0.38  % CPULimit : 300
% 0.11/0.38  % WCLimit  : 300
% 0.11/0.38  % DateTime : Mon Sep 28 04:28:54 UTC 2026
% 0.11/0.38  % CPUTime  : 
% 0.11/0.38  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.42  Running first-order theorem proving
% 0.11/0.42  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
% 2.54/1.26  % (1873700)Detected formulas, will run a generic FOF schedule.
% 2.54/1.26  % (1873811)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2358231288:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.54/1.26  % (1873807)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3197707757:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.54/1.26  % (1873813)dis-21_1_sil=8000:lcm=predicate:random_seed=3286395907: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)
% 2.54/1.26  % (1873802)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=733571840:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.54/1.26  % (1873804)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=755472936:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.54/1.26  % (1873805)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=509389053:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.54/1.26  % (1873807)Refutation not found, incomplete strategy
% 2.54/1.26  % (1873807)------------------------------
% 2.54/1.26  % (1873807)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.54/1.26  % (1873807)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/1.26  % (1873807)CaDiCaL version: 2.1.3
% 2.54/1.26  % (1873807)Termination reason: Refutation not found, incomplete strategy
% 2.54/1.26  % (1873807)Time elapsed: 0.001 s
% 2.54/1.26  % (1873807)Peak memory usage: 88 MB
% 2.54/1.26  % (1873809)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4058041070:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.54/1.26  % (1873809)Refutation not found, incomplete strategy
% 2.54/1.26  % (1873809)------------------------------
% 2.54/1.26  % (1873809)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.54/1.26  % (1873809)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/1.26  % (1873809)CaDiCaL version: 2.1.3
% 2.54/1.26  % (1873809)Termination reason: Refutation not found, incomplete strategy
% 2.54/1.26  % (1873809)Time elapsed: 0.001 s
% 2.54/1.26  % (1873809)Peak memory usage: 88 MB
% 2.54/1.26  % (1873811)Instruction limit reached! 
% 2.54/1.26  % (1873811)------------------------------
% 2.54/1.26  % (1873811)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.54/1.26  % (1873811)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/1.26  % (1873811)CaDiCaL version: 2.1.3
% 2.54/1.26  % (1873811)Termination reason: Instruction limit
% 2.54/1.26  % (1873811)Termination phase: Saturation
% 2.54/1.26  % (1873811)Time elapsed: 0.050 s
% 2.54/1.26  % (1873811)Peak memory usage: 89 MB
% 2.54/1.26  % (1873811)Instructions burned: 142 (million)
% 2.54/1.26  % (1873813)Instruction limit reached! 
% 2.54/1.26  % (1873813)------------------------------
% 2.54/1.26  % (1873813)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.54/1.26  % (1873813)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/1.26  % (1873813)CaDiCaL version: 2.1.3
% 2.54/1.26  % (1873813)Termination reason: Instruction limit
% 2.54/1.26  % (1873813)Termination phase: Saturation
% 2.54/1.26  % (1873813)Time elapsed: 0.063 s
% 2.54/1.26  % (1873813)Peak memory usage: 88 MB
% 2.54/1.26  % (1873813)Instructions burned: 129 (million)
% 2.54/1.26  % (1873832)lrs+10_1_sil=8000:sp=occurrence:random_seed=2338750807:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 2.54/1.26  % (1873832)First to succeed.
% 2.54/1.26  % (1873832)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1873700"
% 2.54/1.26  % (1873833)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2715612744:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/157Mi)
% 2.54/1.26  % (1873833)Refutation not found, incomplete strategy
% 2.54/1.26  % (1873833)------------------------------
% 2.54/1.26  % (1873833)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.54/1.26  % (1873833)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/1.26  % (1873833)CaDiCaL version: 2.1.3
% 2.54/1.26  % (1873833)Termination reason: Refutation not found, incomplete strategy
% 3.37/1.35  % (1873833)Time elapsed: 0.002 s
% 3.37/1.35  % (1873833)Peak memory usage: 89 MB
% 3.37/1.35  % (1873833)Instructions burned: 1 (million)
% 3.37/1.35  % (1873807)------------------------------
% 3.37/1.35  % (1873807)------------------------------
% 3.37/1.35  % (1873809)------------------------------
% 3.37/1.35  % (1873809)------------------------------
% 3.37/1.35  % (1873832)Refutation found. Thanks to Tanya!
% 3.37/1.35  % SZS status Theorem for theBenchmark
% 3.37/1.35  % SZS output start Proof for theBenchmark
% See solution above
% 3.37/1.35  % (1873832)------------------------------
% 3.37/1.35  % (1873832)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.37/1.35  % (1873832)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.37/1.35  % (1873832)CaDiCaL version: 2.1.3
% 3.37/1.35  % (1873832)Termination reason: Refutation
% 3.37/1.35  % (1873832)Time elapsed: 0.004 s
% 3.37/1.35  % (1873832)Peak memory usage: 90 MB
% 3.37/1.35  % (1873832)Instructions burned: 7 (million)
% 3.37/1.35  % (1873832)------------------------------
% 3.37/1.35  % (1873832)------------------------------
% 3.37/1.35  % (1873700)Success in time 0.397 s
% 3.37/1.35  % Vampire exiting
%------------------------------------------------------------------------------