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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SET774+4 : TPTP v9.3.1. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n017.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 12:41:53 PM UTC 2026

% Result   : Theorem 2.60s 1.28s
% Output   : Refutation 3.39s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   60 (   5 unt;   1 def)
%            Number of atoms       :  289 (   0 equ)
%            Maximal formula atoms :   14 (   4 avg)
%            Number of connectives :  391 ( 162   ~; 162   |;  49   &)
%                                         (   7 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   8 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-2 aty)
%            Number of variables   :  181 ( 166   !;  15   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( member(X2,X0)
         => member(X2,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset) ).

fof(f16,axiom,
    ! [X0,X1] :
      ( pre_order(X0,X1)
    <=> ( ! [X2] :
            ( member(X2,X1)
           => apply(X0,X2,X2) )
        & ! [X2,X3,X4] :
            ( ( member(X2,X1)
              & member(X3,X1)
              & member(X4,X1) )
           => ( ( apply(X0,X2,X3)
                & apply(X0,X3,X4) )
             => apply(X0,X2,X4) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pre_order) ).

fof(f17,conjecture,
    ! [X0,X1,X2] :
      ( ( pre_order(X2,X0)
        & subset(X1,X0) )
     => pre_order(X2,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thIII10) ).

fof(f18,negated_conjecture,
    ~ ! [X0,X1,X2] :
        ( ( pre_order(X2,X0)
          & subset(X1,X0) )
       => pre_order(X2,X1) ),
    inference(negated_conjecture,[status(cth)],[f17]) ).

fof(f19,plain,
    ! [X0,X1] :
      ( pre_order(X0,X1)
    <=> ( ! [X2] :
            ( member(X2,X1)
           => apply(X0,X2,X2) )
        & ! [X3,X4,X5] :
            ( ( member(X3,X1)
              & member(X4,X1)
              & member(X5,X1) )
           => ( ( apply(X0,X3,X4)
                & apply(X0,X4,X5) )
             => apply(X0,X3,X5) ) ) ) ),
    inference(rectify,[],[f16]) ).

fof(f20,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
     => ! [X2] :
          ( member(X2,X0)
         => member(X2,X1) ) ),
    inference(unused_predicate_definition_removal,[],[f1]) ).

fof(f21,plain,
    ? [X0,X1,X2] :
      ( ~ pre_order(X2,X1)
      & pre_order(X2,X0)
      & subset(X1,X0) ),
    inference(ennf_transformation,[],[f18]) ).

fof(f22,plain,
    ? [X0,X1,X2] :
      ( ~ pre_order(X2,X1)
      & pre_order(X2,X0)
      & subset(X1,X0) ),
    inference(flattening,[],[f21]) ).

fof(f23,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( member(X2,X1)
          | ~ member(X2,X0) )
      | ~ subset(X0,X1) ),
    inference(ennf_transformation,[],[f20]) ).

fof(f24,plain,
    ! [X0,X1] :
      ( pre_order(X0,X1)
    <=> ( ! [X2] :
            ( apply(X0,X2,X2)
            | ~ member(X2,X1) )
        & ! [X3,X4,X5] :
            ( apply(X0,X3,X5)
            | ~ apply(X0,X3,X4)
            | ~ apply(X0,X4,X5)
            | ~ member(X3,X1)
            | ~ member(X4,X1)
            | ~ member(X5,X1) ) ) ),
    inference(ennf_transformation,[],[f19]) ).

fof(f25,plain,
    ! [X0,X1] :
      ( pre_order(X0,X1)
    <=> ( ! [X2] :
            ( apply(X0,X2,X2)
            | ~ member(X2,X1) )
        & ! [X3,X4,X5] :
            ( apply(X0,X3,X5)
            | ~ apply(X0,X3,X4)
            | ~ apply(X0,X4,X5)
            | ~ member(X3,X1)
            | ~ member(X4,X1)
            | ~ member(X5,X1) ) ) ),
    inference(flattening,[],[f24]) ).

fof(f26,definition,
    ! [X0,X1] :
      ( sP0(X0,X1)
    <=> ! [X3,X4,X5] :
          ( apply(X0,X3,X5)
          | ~ apply(X0,X3,X4)
          | ~ apply(X0,X4,X5)
          | ~ member(X3,X1)
          | ~ member(X4,X1)
          | ~ member(X5,X1) ) ),
    introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).

fof(f27,plain,
    ! [X0,X1] :
      ( pre_order(X0,X1)
    <=> ( ! [X2] :
            ( apply(X0,X2,X2)
            | ~ member(X2,X1) )
        & sP0(X0,X1) ) ),
    inference(definition_folding,[],[f25,f26]) ).

fof(f28,plain,
    ( ~ pre_order(sK3,sK2)
    & pre_order(sK3,sK1)
    & subset(sK2,sK1) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3]),skolemize(X0,sK1),skolemize(X1,sK2),skolemize(X2,sK3)],[f22]) ).

fof(f29,plain,
    ! [X0,X1] :
      ( ( sP0(X0,X1)
        | ? [X3,X4,X5] :
            ( ~ apply(X0,X3,X5)
            & apply(X0,X3,X4)
            & apply(X0,X4,X5)
            & member(X3,X1)
            & member(X4,X1)
            & member(X5,X1) ) )
      & ( ! [X3,X4,X5] :
            ( apply(X0,X3,X5)
            | ~ apply(X0,X3,X4)
            | ~ apply(X0,X4,X5)
            | ~ member(X3,X1)
            | ~ member(X4,X1)
            | ~ member(X5,X1) )
        | ~ sP0(X0,X1) ) ),
    inference(nnf_transformation,[],[f26]) ).

fof(f30,plain,
    ! [X0,X1] :
      ( ( sP0(X0,X1)
        | ? [X2,X3,X4] :
            ( ~ apply(X0,X2,X4)
            & apply(X0,X2,X3)
            & apply(X0,X3,X4)
            & member(X2,X1)
            & member(X3,X1)
            & member(X4,X1) ) )
      & ( ! [X5,X6,X7] :
            ( apply(X0,X5,X7)
            | ~ apply(X0,X5,X6)
            | ~ apply(X0,X6,X7)
            | ~ member(X5,X1)
            | ~ member(X6,X1)
            | ~ member(X7,X1) )
        | ~ sP0(X0,X1) ) ),
    inference(rectify,[],[f29]) ).

fof(f31,plain,
    ! [X0,X1] :
      ( ( sP0(X0,X1)
        | ( ~ apply(X0,sK4(X0,X1),sK6(X0,X1))
          & apply(X0,sK4(X0,X1),sK5(X0,X1))
          & apply(X0,sK5(X0,X1),sK6(X0,X1))
          & member(sK4(X0,X1),X1)
          & member(sK5(X0,X1),X1)
          & member(sK6(X0,X1),X1) ) )
      & ( ! [X5,X6,X7] :
            ( apply(X0,X5,X7)
            | ~ apply(X0,X5,X6)
            | ~ apply(X0,X6,X7)
            | ~ member(X5,X1)
            | ~ member(X6,X1)
            | ~ member(X7,X1) )
        | ~ sP0(X0,X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5,sK6]),skolemize(X2,sK4(X0,X1)),skolemize(X3,sK5(X0,X1)),skolemize(X4,sK6(X0,X1))],[f30]) ).

fof(f32,plain,
    ! [X0,X1] :
      ( ( pre_order(X0,X1)
        | ? [X2] :
            ( ~ apply(X0,X2,X2)
            & member(X2,X1) )
        | ~ sP0(X0,X1) )
      & ( ( ! [X2] :
              ( apply(X0,X2,X2)
              | ~ member(X2,X1) )
          & sP0(X0,X1) )
        | ~ pre_order(X0,X1) ) ),
    inference(nnf_transformation,[],[f27]) ).

fof(f33,plain,
    ! [X0,X1] :
      ( ( pre_order(X0,X1)
        | ? [X2] :
            ( ~ apply(X0,X2,X2)
            & member(X2,X1) )
        | ~ sP0(X0,X1) )
      & ( ( ! [X2] :
              ( apply(X0,X2,X2)
              | ~ member(X2,X1) )
          & sP0(X0,X1) )
        | ~ pre_order(X0,X1) ) ),
    inference(flattening,[],[f32]) ).

fof(f34,plain,
    ! [X0,X1] :
      ( ( pre_order(X0,X1)
        | ? [X2] :
            ( ~ apply(X0,X2,X2)
            & member(X2,X1) )
        | ~ sP0(X0,X1) )
      & ( ( ! [X3] :
              ( apply(X0,X3,X3)
              | ~ member(X3,X1) )
          & sP0(X0,X1) )
        | ~ pre_order(X0,X1) ) ),
    inference(rectify,[],[f33]) ).

fof(f35,plain,
    ! [X0,X1] :
      ( ( pre_order(X0,X1)
        | ( ~ apply(X0,sK7(X0,X1),sK7(X0,X1))
          & member(sK7(X0,X1),X1) )
        | ~ sP0(X0,X1) )
      & ( ( ! [X3] :
              ( apply(X0,X3,X3)
              | ~ member(X3,X1) )
          & sP0(X0,X1) )
        | ~ pre_order(X0,X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(X2,sK7(X0,X1))],[f34]) ).

fof(f36,plain,
    subset(sK2,sK1),
    inference(cnf_transformation,[],[f28]) ).

fof(f37,plain,
    pre_order(sK3,sK1),
    inference(cnf_transformation,[],[f28]) ).

fof(f38,plain,
    ~ pre_order(sK3,sK2),
    inference(cnf_transformation,[],[f28]) ).

fof(f39,plain,
    ! [X2,X0,X1] :
      ( member(X2,X1)
      | ~ member(X2,X0)
      | ~ subset(X0,X1) ),
    inference(cnf_transformation,[],[f23]) ).

fof(f40,plain,
    ! [X0,X1,X6,X7,X5] :
      ( apply(X0,X5,X7)
      | ~ apply(X0,X5,X6)
      | ~ apply(X0,X6,X7)
      | ~ member(X5,X1)
      | ~ member(X6,X1)
      | ~ member(X7,X1)
      | ~ sP0(X0,X1) ),
    inference(cnf_transformation,[],[f31]) ).

fof(f41,plain,
    ! [X0,X1] :
      ( member(sK6(X0,X1),X1)
      | sP0(X0,X1) ),
    inference(cnf_transformation,[],[f31]) ).

fof(f42,plain,
    ! [X0,X1] :
      ( member(sK5(X0,X1),X1)
      | sP0(X0,X1) ),
    inference(cnf_transformation,[],[f31]) ).

fof(f43,plain,
    ! [X0,X1] :
      ( member(sK4(X0,X1),X1)
      | sP0(X0,X1) ),
    inference(cnf_transformation,[],[f31]) ).

fof(f44,plain,
    ! [X0,X1] :
      ( apply(X0,sK5(X0,X1),sK6(X0,X1))
      | sP0(X0,X1) ),
    inference(cnf_transformation,[],[f31]) ).

fof(f45,plain,
    ! [X0,X1] :
      ( apply(X0,sK4(X0,X1),sK5(X0,X1))
      | sP0(X0,X1) ),
    inference(cnf_transformation,[],[f31]) ).

fof(f46,plain,
    ! [X0,X1] :
      ( ~ apply(X0,sK4(X0,X1),sK6(X0,X1))
      | sP0(X0,X1) ),
    inference(cnf_transformation,[],[f31]) ).

fof(f47,plain,
    ! [X0,X1] :
      ( sP0(X0,X1)
      | ~ pre_order(X0,X1) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f48,plain,
    ! [X3,X0,X1] :
      ( apply(X0,X3,X3)
      | ~ member(X3,X1)
      | ~ pre_order(X0,X1) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f49,plain,
    ! [X0,X1] :
      ( member(sK7(X0,X1),X1)
      | pre_order(X0,X1)
      | ~ sP0(X0,X1) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f50,plain,
    ! [X0,X1] :
      ( ~ apply(X0,sK7(X0,X1),sK7(X0,X1))
      | pre_order(X0,X1)
      | ~ sP0(X0,X1) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f51,plain,
    ! [X2,X0,X1] :
      ( ~ member(sK7(X0,X1),X2)
      | ~ sP0(X0,X1)
      | pre_order(X0,X1)
      | ~ pre_order(X0,X2) ),
    inference(resolution,[],[f50,f48]) ).

fof(f53,plain,
    ! [X2,X3,X0,X1] :
      ( ~ member(sK7(X0,X1),X3)
      | pre_order(X0,X1)
      | ~ pre_order(X0,X2)
      | ~ sP0(X0,X1)
      | ~ subset(X3,X2) ),
    inference(resolution,[],[f51,f39]) ).

fof(f55,plain,
    ! [X2,X0,X1] :
      ( pre_order(X0,X1)
      | ~ pre_order(X0,X2)
      | ~ sP0(X0,X1)
      | ~ subset(X1,X2)
      | pre_order(X0,X1)
      | ~ sP0(X0,X1) ),
    inference(resolution,[],[f53,f49]) ).

fof(f57,plain,
    ! [X2,X0,X1] :
      ( pre_order(X0,X1)
      | ~ pre_order(X0,X2)
      | ~ sP0(X0,X1)
      | ~ subset(X1,X2) ),
    inference(duplicate_literal_removal,[],[f55]) ).

fof(f58,plain,
    ! [X2,X3,X0,X1] :
      ( ~ apply(X0,sK4(X0,X1),X2)
      | ~ apply(X0,X2,sK6(X0,X1))
      | ~ member(sK4(X0,X1),X3)
      | ~ member(X2,X3)
      | ~ member(sK6(X0,X1),X3)
      | ~ sP0(X0,X3)
      | sP0(X0,X1) ),
    inference(resolution,[],[f40,f46]) ).

fof(f61,plain,
    ! [X0] :
      ( ~ sP0(sK3,sK2)
      | ~ pre_order(sK3,X0)
      | ~ subset(sK2,X0) ),
    inference(resolution,[],[f57,f38]) ).

fof(f71,plain,
    ! [X2,X0,X1] :
      ( ~ apply(X0,sK5(X0,X1),sK6(X0,X1))
      | ~ member(sK4(X0,X1),X2)
      | ~ member(sK5(X0,X1),X2)
      | ~ member(sK6(X0,X1),X2)
      | ~ sP0(X0,X2)
      | sP0(X0,X1)
      | sP0(X0,X1) ),
    inference(resolution,[],[f58,f45]) ).

fof(f75,plain,
    ! [X2,X0,X1] :
      ( ~ apply(X0,sK5(X0,X1),sK6(X0,X1))
      | ~ member(sK4(X0,X1),X2)
      | ~ member(sK5(X0,X1),X2)
      | ~ member(sK6(X0,X1),X2)
      | ~ sP0(X0,X2)
      | sP0(X0,X1) ),
    inference(duplicate_literal_removal,[],[f71]) ).

fof(f76,plain,
    ! [X2,X0,X1] :
      ( ~ member(sK6(X0,X1),X2)
      | ~ member(sK5(X0,X1),X2)
      | ~ member(sK4(X0,X1),X2)
      | ~ sP0(X0,X2)
      | sP0(X0,X1) ),
    inference(forward_subsumption_resolution,[],[f75,f44]) ).

fof(f79,plain,
    ! [X2,X3,X0,X1] :
      ( ~ member(sK6(X0,X1),X3)
      | ~ member(sK4(X0,X1),X2)
      | ~ sP0(X0,X2)
      | sP0(X0,X1)
      | ~ member(sK5(X0,X1),X2)
      | ~ subset(X3,X2) ),
    inference(resolution,[],[f76,f39]) ).

fof(f103,plain,
    ! [X2,X0,X1] :
      ( ~ member(sK4(X0,X1),X2)
      | ~ sP0(X0,X2)
      | sP0(X0,X1)
      | ~ member(sK5(X0,X1),X2)
      | ~ subset(X1,X2)
      | sP0(X0,X1) ),
    inference(resolution,[],[f79,f41]) ).

fof(f105,plain,
    ! [X2,X0,X1] :
      ( ~ member(sK5(X0,X1),X2)
      | ~ sP0(X0,X2)
      | sP0(X0,X1)
      | ~ member(sK4(X0,X1),X2)
      | ~ subset(X1,X2) ),
    inference(duplicate_literal_removal,[],[f103]) ).

fof(f112,plain,
    ! [X2,X3,X0,X1] :
      ( ~ member(sK5(X0,X2),X3)
      | sP0(X0,X2)
      | ~ member(sK4(X0,X2),X1)
      | ~ subset(X2,X1)
      | ~ sP0(X0,X1)
      | ~ subset(X3,X1) ),
    inference(resolution,[],[f105,f39]) ).

fof(f123,plain,
    ! [X2,X0,X1] :
      ( sP0(X0,X1)
      | ~ member(sK4(X0,X1),X2)
      | ~ subset(X1,X2)
      | ~ sP0(X0,X2)
      | ~ subset(X1,X2)
      | sP0(X0,X1) ),
    inference(resolution,[],[f112,f42]) ).

fof(f125,plain,
    ! [X2,X0,X1] :
      ( ~ member(sK4(X0,X1),X2)
      | sP0(X0,X1)
      | ~ subset(X1,X2)
      | ~ sP0(X0,X2) ),
    inference(duplicate_literal_removal,[],[f123]) ).

fof(f127,plain,
    ! [X2,X3,X0,X1] :
      ( ~ member(sK4(X0,X1),X3)
      | ~ subset(X1,X2)
      | ~ sP0(X0,X2)
      | sP0(X0,X1)
      | ~ subset(X3,X2) ),
    inference(resolution,[],[f125,f39]) ).

fof(f140,plain,
    ! [X2,X0,X1] :
      ( ~ subset(X0,X1)
      | ~ sP0(X2,X1)
      | sP0(X2,X0)
      | ~ subset(X0,X1)
      | sP0(X2,X0) ),
    inference(resolution,[],[f127,f43]) ).

fof(f142,plain,
    ! [X2,X0,X1] :
      ( sP0(X2,X0)
      | ~ sP0(X2,X1)
      | ~ subset(X0,X1) ),
    inference(duplicate_literal_removal,[],[f140]) ).

fof(f148,plain,
    ! [X0,X1] :
      ( ~ sP0(sK3,X0)
      | ~ subset(sK2,X0)
      | ~ pre_order(sK3,X1)
      | ~ subset(sK2,X1) ),
    inference(resolution,[],[f142,f61]) ).

fof(f150,plain,
    ! [X0,X1] :
      ( ~ pre_order(sK3,X1)
      | ~ subset(sK2,X0)
      | ~ subset(sK2,X1)
      | ~ pre_order(sK3,X0) ),
    inference(resolution,[],[f148,f47]) ).

fof(f164,plain,
    ! [X0] :
      ( ~ pre_order(sK3,X0)
      | ~ subset(sK2,X0)
      | ~ subset(sK2,X0) ),
    inference(factoring,[],[f150]) ).

fof(f165,plain,
    ! [X0] :
      ( ~ pre_order(sK3,X0)
      | ~ subset(sK2,X0) ),
    inference(duplicate_literal_removal,[],[f164]) ).

fof(f175,plain,
    ~ subset(sK2,sK1),
    inference(resolution,[],[f165,f37]) ).

fof(f179,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f175,f36]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SET774+4 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.39  % Computer : n017.cluster.edu
% 0.11/0.39  % Model    : x86_64 x86_64
% 0.11/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39  % Memory   : 8046.5625MB
% 0.11/0.39  % OS       : Linux 6.8.0-71-generic
% 0.11/0.39  % CPULimit : 300
% 0.11/0.39  % WCLimit  : 300
% 0.11/0.39  % DateTime : Mon Sep 28 02:41:21 UTC 2026
% 0.11/0.39  % CPUTime  : 
% 0.11/0.39  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42  Running first-order theorem proving
% 0.11/0.42  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
% 2.60/1.28  % (3162481)Detected formulas, will run a generic FOF schedule.
% 2.60/1.28  % (3162488)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=1183732015:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.60/1.28  % (3162489)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2751355100:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.60/1.28  % (3162492)dis-21_1_sil=8000:lcm=predicate:random_seed=1910335067: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)
% 2.60/1.28  % (3162490)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=742227248:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.60/1.28  % (3162487)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=1017310187:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.60/1.28  % (3162486)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=1343923977:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.60/1.28  % (3162491)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3098046678:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.60/1.28  % (3162489)Refutation not found, incomplete strategy
% 2.60/1.28  % (3162489)------------------------------
% 2.60/1.28  % (3162489)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.60/1.28  % (3162489)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.60/1.28  % (3162489)CaDiCaL version: 2.1.3
% 2.60/1.28  % (3162489)Termination reason: Refutation not found, incomplete strategy
% 2.60/1.28  % (3162489)Time elapsed: 0.002 s
% 2.60/1.28  % (3162489)Peak memory usage: 88 MB
% 2.60/1.28  % (3162489)Instructions burned: 1 (million)
% 2.60/1.28  % (3162490)First to succeed.
% 2.60/1.28  % (3162490)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3162481"
% 2.60/1.28  % (3162492)Instruction limit reached! 
% 2.60/1.28  % (3162492)------------------------------
% 2.60/1.28  % (3162492)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.60/1.28  % (3162492)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.60/1.28  % (3162492)CaDiCaL version: 2.1.3
% 2.60/1.28  % (3162492)Termination reason: Instruction limit
% 2.60/1.28  % (3162492)Termination phase: Saturation
% 2.60/1.28  % (3162492)Time elapsed: 0.081 s
% 2.60/1.28  % (3162492)Peak memory usage: 89 MB
% 2.60/1.28  % (3162492)Instructions burned: 130 (million)
% 2.60/1.28  % (3162491)Instruction limit reached! 
% 2.60/1.28  % (3162491)------------------------------
% 2.60/1.28  % (3162491)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.60/1.28  % (3162491)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.60/1.28  % (3162491)CaDiCaL version: 2.1.3
% 2.60/1.28  % (3162491)Termination reason: Instruction limit
% 2.60/1.28  % (3162491)Termination phase: Saturation
% 2.60/1.28  % (3162491)Time elapsed: 0.094 s
% 2.60/1.28  % (3162491)Peak memory usage: 89 MB
% 2.60/1.28  % (3162491)Instructions burned: 140 (million)
% 2.60/1.28  % (3162500)lrs+10_1_sil=8000:sp=occurrence:random_seed=1561987765:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 2.60/1.28  % (3162501)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3795245113:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.60/1.28  % (3162501)Refutation not found, incomplete strategy
% 2.60/1.28  % (3162501)------------------------------
% 2.60/1.28  % (3162501)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.60/1.28  % (3162501)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.60/1.28  % (3162501)CaDiCaL version: 2.1.3
% 2.60/1.28  % (3162501)Termination reason: Refutation not found, incomplete strategy
% 2.60/1.28  % (3162501)Time elapsed: 0.002 s
% 2.60/1.28  % (3162501)Peak memory usage: 88 MB
% 2.60/1.28  % (3162501)Instructions burned: 1 (million)
% 2.60/1.28  % (3162489)------------------------------
% 2.60/1.28  % (3162489)------------------------------
% 2.60/1.28  % (3162490)Refutation found. Thanks to Tanya!
% 2.60/1.28  % SZS status Theorem for theBenchmark
% 2.60/1.28  % SZS output start Proof for theBenchmark
% See solution above
% 3.39/1.37  % (3162490)------------------------------
% 3.39/1.37  % (3162490)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.39/1.37  % (3162490)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.39/1.37  % (3162490)CaDiCaL version: 2.1.3
% 3.39/1.37  % (3162490)Termination reason: Refutation
% 3.39/1.37  % (3162490)Time elapsed: 0.007 s
% 3.39/1.37  % (3162490)Peak memory usage: 88 MB
% 3.39/1.37  % (3162490)Instructions burned: 9 (million)
% 3.39/1.37  % (3162490)------------------------------
% 3.39/1.37  % (3162490)------------------------------
% 3.39/1.37  % (3162481)Success in time 0.411 s
% 3.39/1.37  % Vampire exiting
%------------------------------------------------------------------------------