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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SET597+3 : TPTP v9.3.1. Released v2.2.0.
% 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 12:41:17 PM UTC 2026

% Result   : Theorem 1.81s 1.11s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   30
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   71 (  13 unt;   0 def)
%            Number of atoms       :  280 (  50 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :  375 ( 166   ~; 165   |;  36   &)
%                                         (   3 <=>;   3  =>;   0  <=;   2 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   86 (  68   !;  18   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1] : subset(X0,union(X0,X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset_of_union) ).

fof(f2,axiom,
    ! [X0,X1,X2] :
      ( ( subset(X0,X1)
        & subset(X2,X1) )
     => subset(union(X0,X2),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_subset) ).

fof(f5,axiom,
    ! [X0,X1] :
      ( X0 = X1
    <=> ( subset(X0,X1)
        & subset(X1,X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_defn) ).

fof(f6,axiom,
    ! [X0,X1] : union(X0,X1) = union(X1,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_union) ).

fof(f9,conjecture,
    ! [X0,X1,X2] :
      ( X0 = union(X1,X2)
    <=> ( subset(X1,X0)
        & subset(X2,X0)
        & ! [X3] :
            ( ( subset(X1,X3)
              & subset(X2,X3) )
           => subset(X0,X3) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_th56) ).

fof(f10,negated_conjecture,
    ~ ! [X0,X1,X2] :
        ( X0 = union(X1,X2)
      <=> ( subset(X1,X0)
          & subset(X2,X0)
          & ! [X3] :
              ( ( subset(X1,X3)
                & subset(X2,X3) )
             => subset(X0,X3) ) ) ),
    inference(negated_conjecture,[status(cth)],[f9]) ).

fof(f11,plain,
    ? [X0,X1,X2] :
      ( X0 = union(X1,X2)
    <~> ( subset(X1,X0)
        & subset(X2,X0)
        & ! [X3] :
            ( subset(X0,X3)
            | ~ subset(X1,X3)
            | ~ subset(X2,X3) ) ) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f12,plain,
    ? [X0,X1,X2] :
      ( X0 = union(X1,X2)
    <~> ( subset(X1,X0)
        & subset(X2,X0)
        & ! [X3] :
            ( subset(X0,X3)
            | ~ subset(X1,X3)
            | ~ subset(X2,X3) ) ) ),
    inference(flattening,[],[f11]) ).

fof(f13,plain,
    ! [X0,X1,X2] :
      ( subset(union(X0,X2),X1)
      | ~ subset(X0,X1)
      | ~ subset(X2,X1) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f14,plain,
    ! [X0,X1,X2] :
      ( subset(union(X0,X2),X1)
      | ~ subset(X0,X1)
      | ~ subset(X2,X1) ),
    inference(flattening,[],[f13]) ).

fof(f15,plain,
    ? [X0,X1,X2] :
      ( ( ~ subset(X1,X0)
        | ~ subset(X2,X0)
        | ? [X3] :
            ( ~ subset(X0,X3)
            & subset(X1,X3)
            & subset(X2,X3) )
        | union(X1,X2) != X0 )
      & ( ( subset(X1,X0)
          & subset(X2,X0)
          & ! [X3] :
              ( subset(X0,X3)
              | ~ subset(X1,X3)
              | ~ subset(X2,X3) ) )
        | X0 = union(X1,X2) ) ),
    inference(nnf_transformation,[],[f12]) ).

fof(f16,plain,
    ? [X0,X1,X2] :
      ( ( ~ subset(X1,X0)
        | ~ subset(X2,X0)
        | ? [X3] :
            ( ~ subset(X0,X3)
            & subset(X1,X3)
            & subset(X2,X3) )
        | union(X1,X2) != X0 )
      & ( ( subset(X1,X0)
          & subset(X2,X0)
          & ! [X3] :
              ( subset(X0,X3)
              | ~ subset(X1,X3)
              | ~ subset(X2,X3) ) )
        | X0 = union(X1,X2) ) ),
    inference(flattening,[],[f15]) ).

fof(f17,plain,
    ? [X0,X1,X2] :
      ( ( ~ subset(X1,X0)
        | ~ subset(X2,X0)
        | ? [X3] :
            ( ~ subset(X0,X3)
            & subset(X1,X3)
            & subset(X2,X3) )
        | union(X1,X2) != X0 )
      & ( ( subset(X1,X0)
          & subset(X2,X0)
          & ! [X4] :
              ( subset(X0,X4)
              | ~ subset(X1,X4)
              | ~ subset(X2,X4) ) )
        | X0 = union(X1,X2) ) ),
    inference(rectify,[],[f16]) ).

fof(f18,plain,
    ( ( ~ subset(sK1,sK0)
      | ~ subset(sK2,sK0)
      | ( ~ subset(sK0,sK3)
        & subset(sK1,sK3)
        & subset(sK2,sK3) )
      | sK0 != union(sK1,sK2) )
    & ( ( subset(sK1,sK0)
        & subset(sK2,sK0)
        & ! [X4] :
            ( subset(sK0,X4)
            | ~ subset(sK1,X4)
            | ~ subset(sK2,X4) ) )
      | sK0 = union(sK1,sK2) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f17]) ).

fof(f19,plain,
    ! [X0,X1] :
      ( ( X0 = X1
        | ~ subset(X0,X1)
        | ~ subset(X1,X0) )
      & ( ( subset(X0,X1)
          & subset(X1,X0) )
        | X0 != X1 ) ),
    inference(nnf_transformation,[],[f5]) ).

fof(f20,plain,
    ! [X0,X1] :
      ( ( X0 = X1
        | ~ subset(X0,X1)
        | ~ subset(X1,X0) )
      & ( ( subset(X0,X1)
          & subset(X1,X0) )
        | X0 != X1 ) ),
    inference(flattening,[],[f19]) ).

fof(f21,plain,
    ! [X4] :
      ( sK0 = union(sK1,sK2)
      | ~ subset(sK1,X4)
      | ~ subset(sK2,X4)
      | subset(sK0,X4) ),
    inference(cnf_transformation,[],[f18]) ).

fof(f22,plain,
    ( sK0 = union(sK1,sK2)
    | subset(sK2,sK0) ),
    inference(cnf_transformation,[],[f18]) ).

fof(f23,plain,
    ( sK0 = union(sK1,sK2)
    | subset(sK1,sK0) ),
    inference(cnf_transformation,[],[f18]) ).

fof(f24,plain,
    ( sK0 != union(sK1,sK2)
    | ~ subset(sK2,sK0)
    | subset(sK2,sK3)
    | ~ subset(sK1,sK0) ),
    inference(cnf_transformation,[],[f18]) ).

fof(f25,plain,
    ( sK0 != union(sK1,sK2)
    | ~ subset(sK2,sK0)
    | subset(sK1,sK3)
    | ~ subset(sK1,sK0) ),
    inference(cnf_transformation,[],[f18]) ).

fof(f26,plain,
    ( sK0 != union(sK1,sK2)
    | ~ subset(sK2,sK0)
    | ~ subset(sK0,sK3)
    | ~ subset(sK1,sK0) ),
    inference(cnf_transformation,[],[f18]) ).

fof(f27,plain,
    ! [X0,X1] : union(X0,X1) = union(X1,X0),
    inference(cnf_transformation,[],[f6]) ).

fof(f30,plain,
    ! [X0,X1] :
      ( ~ subset(X1,X0)
      | ~ subset(X0,X1)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f20]) ).

fof(f31,plain,
    ! [X2,X0,X1] :
      ( subset(union(X0,X2),X1)
      | ~ subset(X0,X1)
      | ~ subset(X2,X1) ),
    inference(cnf_transformation,[],[f14]) ).

fof(f32,plain,
    ! [X0,X1] : subset(X0,union(X0,X1)),
    inference(cnf_transformation,[],[f1]) ).

fof(f44,plain,
    ! [X0] :
      ( sK0 != sK0
      | ~ subset(sK2,sK0)
      | ~ subset(sK0,sK3)
      | ~ subset(sK1,sK0)
      | ~ subset(sK1,X0)
      | ~ subset(sK2,X0)
      | subset(sK0,X0) ),
    inference(superposition,[],[f26,f21]) ).

fof(f47,plain,
    ! [X0] :
      ( subset(sK0,X0)
      | ~ subset(sK0,sK3)
      | ~ subset(sK1,sK0)
      | ~ subset(sK1,X0)
      | ~ subset(sK2,X0)
      | ~ subset(sK2,sK0) ),
    inference(trivial_inequality_removal,[],[f44]) ).

fof(f49,plain,
    ( subset(sK1,sK0)
    | subset(sK1,sK0) ),
    inference(superposition,[],[f32,f23]) ).

fof(f51,plain,
    subset(sK1,sK0),
    inference(duplicate_literal_removal,[],[f49]) ).

fof(f52,plain,
    ! [X0,X1] : subset(X1,union(X0,X1)),
    inference(superposition,[],[f32,f27]) ).

fof(f56,plain,
    ! [X0] :
      ( ~ subset(X0,sK0)
      | sK0 = X0
      | ~ subset(sK0,sK3)
      | ~ subset(sK1,sK0)
      | ~ subset(sK1,X0)
      | ~ subset(sK2,X0)
      | ~ subset(sK2,sK0) ),
    inference(resolution,[],[f30,f47]) ).

fof(f63,plain,
    ! [X0] :
      ( ~ subset(X0,sK0)
      | sK0 = X0
      | ~ subset(sK0,sK3)
      | ~ subset(sK1,X0)
      | ~ subset(sK2,X0)
      | ~ subset(sK2,sK0) ),
    inference(forward_subsumption_resolution,[],[f56,f51]) ).

fof(f67,plain,
    ! [X2,X0,X1] :
      ( ~ subset(X1,union(X0,X2))
      | ~ subset(X2,X1)
      | ~ subset(X0,X1)
      | union(X0,X2) = X1 ),
    inference(resolution,[],[f31,f30]) ).

fof(f68,plain,
    ! [X0,X1] :
      ( subset(sK0,X1)
      | ~ subset(sK1,X0)
      | ~ subset(sK2,X0)
      | ~ subset(sK1,X1)
      | ~ subset(sK2,X1)
      | subset(sK0,X0) ),
    inference(superposition,[],[f31,f21]) ).

fof(f80,plain,
    ( subset(sK2,sK0)
    | subset(sK2,sK0) ),
    inference(superposition,[],[f52,f22]) ).

fof(f83,plain,
    subset(sK2,sK0),
    inference(duplicate_literal_removal,[],[f80]) ).

fof(f109,plain,
    ! [X2,X0,X1] :
      ( ~ subset(sK2,union(X1,X0))
      | ~ subset(X1,sK0)
      | union(X1,X0) = sK0
      | ~ subset(sK1,X2)
      | ~ subset(sK2,X2)
      | ~ subset(sK1,union(X1,X0))
      | ~ subset(X0,sK0)
      | subset(sK0,X2) ),
    inference(resolution,[],[f67,f68]) ).

fof(f138,plain,
    ! [X0] :
      ( ~ subset(sK2,X0)
      | sK0 = X0
      | ~ subset(sK0,sK3)
      | ~ subset(sK1,X0)
      | ~ subset(X0,sK0) ),
    inference(forward_subsumption_resolution,[],[f63,f83]) ).

fof(f143,plain,
    ! [X0] :
      ( ~ subset(sK1,union(sK2,X0))
      | ~ subset(sK0,sK3)
      | sK0 = union(sK2,X0)
      | ~ subset(union(sK2,X0),sK0) ),
    inference(resolution,[],[f138,f32]) ).

fof(f149,plain,
    ( ~ subset(sK0,sK3)
    | sK0 = union(sK2,sK1)
    | ~ subset(union(sK2,sK1),sK0) ),
    inference(resolution,[],[f143,f52]) ).

fof(f152,plain,
    ( sK0 = union(sK1,sK2)
    | ~ subset(sK0,sK3)
    | ~ subset(union(sK2,sK1),sK0) ),
    inference(forward_demodulation,[],[f149,f27]) ).

fof(f153,plain,
    ( ~ subset(union(sK1,sK2),sK0)
    | sK0 = union(sK1,sK2)
    | ~ subset(sK0,sK3) ),
    inference(forward_demodulation,[],[f152,f27]) ).

fof(f154,plain,
    ( sK0 = union(sK1,sK2)
    | ~ subset(sK0,sK3)
    | ~ subset(sK1,sK0)
    | ~ subset(sK2,sK0) ),
    inference(resolution,[],[f153,f31]) ).

fof(f155,plain,
    ( sK0 = union(sK1,sK2)
    | ~ subset(sK0,sK3)
    | ~ subset(sK2,sK0) ),
    inference(forward_subsumption_resolution,[],[f154,f23]) ).

fof(f156,plain,
    ( sK0 = union(sK1,sK2)
    | ~ subset(sK0,sK3) ),
    inference(forward_subsumption_resolution,[],[f155,f22]) ).

fof(f159,plain,
    ( sK0 != sK0
    | ~ subset(sK2,sK0)
    | ~ subset(sK0,sK3)
    | ~ subset(sK1,sK0)
    | ~ subset(sK0,sK3) ),
    inference(superposition,[],[f26,f156]) ).

fof(f165,plain,
    ( sK0 != sK0
    | ~ subset(sK2,sK0)
    | ~ subset(sK0,sK3)
    | ~ subset(sK1,sK0) ),
    inference(duplicate_literal_removal,[],[f159]) ).

fof(f166,plain,
    ( ~ subset(sK2,sK0)
    | ~ subset(sK0,sK3)
    | ~ subset(sK1,sK0) ),
    inference(trivial_inequality_removal,[],[f165]) ).

fof(f169,plain,
    ( ~ subset(sK0,sK3)
    | ~ subset(sK1,sK0) ),
    inference(forward_subsumption_resolution,[],[f166,f83]) ).

fof(f172,plain,
    ~ subset(sK0,sK3),
    inference(forward_subsumption_resolution,[],[f169,f51]) ).

fof(f182,plain,
    ! [X0] :
      ( subset(sK0,X0)
      | ~ subset(sK2,X0)
      | ~ subset(sK1,sK3)
      | ~ subset(sK2,sK3)
      | ~ subset(sK1,X0) ),
    inference(resolution,[],[f172,f68]) ).

fof(f190,plain,
    ! [X0,X1] :
      ( ~ subset(sK2,union(X0,X1))
      | ~ subset(X0,sK0)
      | union(X0,X1) = sK0
      | ~ subset(sK1,union(X0,X1))
      | ~ subset(sK1,union(X0,X1))
      | ~ subset(X1,sK0)
      | subset(sK0,union(X0,X1)) ),
    inference(factoring,[],[f109]) ).

fof(f193,plain,
    ! [X0,X1] :
      ( ~ subset(sK2,union(X0,X1))
      | ~ subset(X0,sK0)
      | union(X0,X1) = sK0
      | ~ subset(sK1,union(X0,X1))
      | ~ subset(X1,sK0)
      | subset(sK0,union(X0,X1)) ),
    inference(duplicate_literal_removal,[],[f190]) ).

fof(f194,plain,
    ! [X0,X1] :
      ( ~ subset(sK2,union(X0,X1))
      | ~ subset(X0,sK0)
      | union(X0,X1) = sK0
      | ~ subset(sK1,union(X0,X1))
      | ~ subset(X1,sK0) ),
    inference(forward_subsumption_resolution,[],[f193,f67]) ).

fof(f344,plain,
    ( ~ subset(sK2,sK3)
    | ~ subset(sK1,sK3)
    | ~ subset(sK2,sK3)
    | ~ subset(sK1,sK3) ),
    inference(resolution,[],[f182,f172]) ).

fof(f347,plain,
    ( ~ subset(sK2,sK3)
    | ~ subset(sK1,sK3) ),
    inference(duplicate_literal_removal,[],[f344]) ).

fof(f370,plain,
    ! [X0] :
      ( ~ subset(X0,sK0)
      | sK0 = union(X0,sK2)
      | ~ subset(sK1,union(X0,sK2))
      | ~ subset(sK2,sK0) ),
    inference(resolution,[],[f194,f52]) ).

fof(f377,plain,
    ! [X0] :
      ( ~ subset(sK1,union(X0,sK2))
      | sK0 = union(X0,sK2)
      | ~ subset(X0,sK0) ),
    inference(forward_subsumption_resolution,[],[f370,f83]) ).

fof(f379,plain,
    ( sK0 = union(sK1,sK2)
    | ~ subset(sK1,sK0) ),
    inference(resolution,[],[f377,f32]) ).

fof(f386,plain,
    sK0 = union(sK1,sK2),
    inference(forward_subsumption_resolution,[],[f379,f23]) ).

fof(f391,plain,
    ( sK0 != sK0
    | ~ subset(sK2,sK0)
    | subset(sK2,sK3)
    | ~ subset(sK1,sK0) ),
    inference(superposition,[],[f24,f386]) ).

fof(f392,plain,
    ( sK0 != sK0
    | ~ subset(sK2,sK0)
    | subset(sK1,sK3)
    | ~ subset(sK1,sK0) ),
    inference(superposition,[],[f25,f386]) ).

fof(f405,plain,
    ( ~ subset(sK2,sK0)
    | subset(sK1,sK3)
    | ~ subset(sK1,sK0) ),
    inference(trivial_inequality_removal,[],[f392]) ).

fof(f406,plain,
    ( ~ subset(sK2,sK0)
    | subset(sK2,sK3)
    | ~ subset(sK1,sK0) ),
    inference(trivial_inequality_removal,[],[f391]) ).

fof(f407,plain,
    ( subset(sK1,sK3)
    | ~ subset(sK1,sK0) ),
    inference(forward_subsumption_resolution,[],[f405,f83]) ).

fof(f408,plain,
    ( subset(sK2,sK3)
    | ~ subset(sK1,sK0) ),
    inference(forward_subsumption_resolution,[],[f406,f83]) ).

fof(f411,plain,
    subset(sK1,sK3),
    inference(forward_subsumption_resolution,[],[f407,f51]) ).

fof(f412,plain,
    subset(sK2,sK3),
    inference(forward_subsumption_resolution,[],[f408,f51]) ).

fof(f416,plain,
    ~ subset(sK1,sK3),
    inference(resolution,[],[f412,f347]) ).

fof(f421,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f416,f411]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SET597+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.36  % Computer : n026.cluster.edu
% 0.10/0.36  % Model    : x86_64 x86_64
% 0.10/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36  % Memory   : 8046.5625MB
% 0.10/0.36  % OS       : Linux 6.8.0-71-generic
% 0.10/0.36  % CPULimit : 300
% 0.10/0.36  % WCLimit  : 300
% 0.10/0.36  % DateTime : Mon Sep 28 02:19:58 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.10/0.37  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.39  Running first-order theorem proving
% 0.10/0.39  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
% 1.81/1.11  % (3408853)Detected formulas, will run a generic FOF schedule.
% 1.81/1.11  % (3408862)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3888022626:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 1.81/1.11  % (3408862)First to succeed.
% 1.81/1.11  % (3408862)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3408853"
% 1.81/1.11  % (3408861)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2054051346:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 1.81/1.11  % (3408861)Refutation not found, incomplete strategy
% 1.81/1.11  % (3408861)------------------------------
% 1.81/1.11  % (3408861)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.81/1.11  % (3408861)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.81/1.11  % (3408861)CaDiCaL version: 2.1.3
% 1.81/1.11  % (3408861)Termination reason: Refutation not found, incomplete strategy
% 1.81/1.11  % (3408861)Time elapsed: 0.003 s
% 1.81/1.11  % (3408861)Peak memory usage: 88 MB
% 1.81/1.11  % (3408861)Instructions burned: 2 (million)
% 1.81/1.11  % (3408863)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=913754403:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 1.81/1.11  % (3408860)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=1161282269:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 1.81/1.11  % (3408859)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=3458945925:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 1.81/1.11  % (3408858)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=3351116468:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 1.81/1.11  % (3408864)dis-21_1_sil=8000:lcm=predicate:random_seed=2689008401: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)
% 1.81/1.11  % (3408863)Also succeeded, but the first one will report.
% 1.81/1.11  % (3408864)Instruction limit reached! 
% 1.81/1.11  % (3408864)------------------------------
% 1.81/1.11  % (3408864)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.81/1.11  % (3408864)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.81/1.11  % (3408864)CaDiCaL version: 2.1.3
% 1.81/1.11  % (3408864)Termination reason: Instruction limit
% 1.81/1.11  % (3408864)Termination phase: Saturation
% 1.81/1.11  % (3408864)Time elapsed: 0.063 s
% 1.81/1.11  % (3408864)Peak memory usage: 89 MB
% 1.81/1.11  % (3408864)Instructions burned: 130 (million)
% 1.81/1.11  % (3408862)Refutation found. Thanks to Tanya!
% 1.81/1.11  % SZS status Theorem for theBenchmark
% 1.81/1.11  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/1.31  % (3408862)------------------------------
% 0.15/1.31  % (3408862)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.15/1.31  % (3408862)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/1.31  % (3408862)CaDiCaL version: 2.1.3
% 0.15/1.31  % (3408862)Termination reason: Refutation
% 0.15/1.31  % (3408862)Time elapsed: 0.007 s
% 0.15/1.31  % (3408862)Peak memory usage: 88 MB
% 0.15/1.31  % (3408862)Instructions burned: 18 (million)
% 0.15/1.31  % (3408862)------------------------------
% 0.15/1.31  % (3408862)------------------------------
% 0.15/1.31  % (3408853)Success in time 0.273 s
% 0.15/1.31  % Vampire exiting
%------------------------------------------------------------------------------