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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SEU055+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n001.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 12:47:09 PM UTC 2026

% Result   : Theorem 3.03s 1.08s
% Output   : Refutation 3.51s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   27
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   65 (  23 unt;   0 def)
%            Number of atoms       :  202 (  74 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :  232 (  95   ~;  95   |;  29   &)
%                                         (   5 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   2 con; 0-2 aty)
%            Number of variables   :   83 (  77   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f6,axiom,
    ! [X0] :
      ( ( relation(X0)
        & function(X0) )
     => ( one_to_one(X0)
      <=> ! [X1,X2] :
            ( ( in(X1,relation_dom(X0))
              & in(X2,relation_dom(X0))
              & apply(X0,X1) = apply(X0,X2) )
           => X1 = X2 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_funct_1) ).

fof(f26,axiom,
    ! [X0,X1] : subset(X0,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).

fof(f27,axiom,
    ! [X0,X1] :
      ( ( relation(X1)
        & function(X1) )
     => ( in(X0,relation_dom(X1))
       => relation_image(X1,singleton(X0)) = singleton(apply(X1,X0)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t117_funct_1) ).

fof(f28,conjecture,
    ! [X0] :
      ( ( relation(X0)
        & function(X0) )
     => ( ! [X1,X2] : relation_image(X0,set_difference(X1,X2)) = set_difference(relation_image(X0,X1),relation_image(X0,X2))
       => one_to_one(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t124_funct_1) ).

fof(f29,negated_conjecture,
    ~ ! [X0] :
        ( ( relation(X0)
          & function(X0) )
       => ( ! [X1,X2] : relation_image(X0,set_difference(X1,X2)) = set_difference(relation_image(X0,X1),relation_image(X0,X2))
         => one_to_one(X0) ) ),
    inference(negated_conjecture,[status(cth)],[f28]) ).

fof(f31,axiom,
    ! [X0,X1] :
      ( set_difference(singleton(X0),singleton(X1)) = singleton(X0)
    <=> X0 != X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t20_zfmisc_1) ).

fof(f33,axiom,
    ! [X0,X1] :
      ( set_difference(X0,X1) = empty_set
    <=> subset(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t37_xboole_1) ).

fof(f42,plain,
    ! [X0] : subset(X0,X0),
    inference(rectify,[],[f26]) ).

fof(f50,plain,
    ! [X0] :
      ( ( one_to_one(X0)
      <=> ! [X1,X2] :
            ( X1 = X2
            | ~ in(X1,relation_dom(X0))
            | ~ in(X2,relation_dom(X0))
            | apply(X0,X1) != apply(X0,X2) ) )
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f51,plain,
    ! [X0] :
      ( ( one_to_one(X0)
      <=> ! [X1,X2] :
            ( X1 = X2
            | ~ in(X1,relation_dom(X0))
            | ~ in(X2,relation_dom(X0))
            | apply(X0,X1) != apply(X0,X2) ) )
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(flattening,[],[f50]) ).

fof(f58,plain,
    ! [X0,X1] :
      ( relation_image(X1,singleton(X0)) = singleton(apply(X1,X0))
      | ~ in(X0,relation_dom(X1))
      | ~ relation(X1)
      | ~ function(X1) ),
    inference(ennf_transformation,[],[f27]) ).

fof(f59,plain,
    ! [X0,X1] :
      ( relation_image(X1,singleton(X0)) = singleton(apply(X1,X0))
      | ~ in(X0,relation_dom(X1))
      | ~ relation(X1)
      | ~ function(X1) ),
    inference(flattening,[],[f58]) ).

fof(f60,plain,
    ? [X0] :
      ( ~ one_to_one(X0)
      & ! [X1,X2] : relation_image(X0,set_difference(X1,X2)) = set_difference(relation_image(X0,X1),relation_image(X0,X2))
      & relation(X0)
      & function(X0) ),
    inference(ennf_transformation,[],[f29]) ).

fof(f61,plain,
    ? [X0] :
      ( ~ one_to_one(X0)
      & ! [X1,X2] : relation_image(X0,set_difference(X1,X2)) = set_difference(relation_image(X0,X1),relation_image(X0,X2))
      & relation(X0)
      & function(X0) ),
    inference(flattening,[],[f60]) ).

fof(f74,plain,
    ! [X0] :
      ( ( ( one_to_one(X0)
          | ? [X1,X2] :
              ( X1 != X2
              & in(X1,relation_dom(X0))
              & in(X2,relation_dom(X0))
              & apply(X0,X1) = apply(X0,X2) ) )
        & ( ! [X1,X2] :
              ( X1 = X2
              | ~ in(X1,relation_dom(X0))
              | ~ in(X2,relation_dom(X0))
              | apply(X0,X1) != apply(X0,X2) )
          | ~ one_to_one(X0) ) )
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(nnf_transformation,[],[f51]) ).

fof(f75,plain,
    ! [X0] :
      ( ( ( one_to_one(X0)
          | ? [X1,X2] :
              ( X1 != X2
              & in(X1,relation_dom(X0))
              & in(X2,relation_dom(X0))
              & apply(X0,X1) = apply(X0,X2) ) )
        & ( ! [X3,X4] :
              ( X3 = X4
              | ~ in(X3,relation_dom(X0))
              | ~ in(X4,relation_dom(X0))
              | apply(X0,X3) != apply(X0,X4) )
          | ~ one_to_one(X0) ) )
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(rectify,[],[f74]) ).

fof(f76,plain,
    ! [X0] :
      ( ( ( one_to_one(X0)
          | ( sK1(X0) != sK2(X0)
            & in(sK1(X0),relation_dom(X0))
            & in(sK2(X0),relation_dom(X0))
            & apply(X0,sK1(X0)) = apply(X0,sK2(X0)) ) )
        & ( ! [X3,X4] :
              ( X3 = X4
              | ~ in(X3,relation_dom(X0))
              | ~ in(X4,relation_dom(X0))
              | apply(X0,X3) != apply(X0,X4) )
          | ~ one_to_one(X0) ) )
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2]),skolemize(X1,sK1(X0)),skolemize(X2,sK2(X0))],[f75]) ).

fof(f88,plain,
    ( ~ one_to_one(sK14)
    & ! [X1,X2] : relation_image(sK14,set_difference(X1,X2)) = set_difference(relation_image(sK14,X1),relation_image(sK14,X2))
    & relation(sK14)
    & function(sK14) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK14]),skolemize(X0,sK14)],[f61]) ).

fof(f89,plain,
    ! [X0,X1] :
      ( ( set_difference(singleton(X0),singleton(X1)) = singleton(X0)
        | X0 = X1 )
      & ( X0 != X1
        | singleton(X0) != set_difference(singleton(X0),singleton(X1)) ) ),
    inference(nnf_transformation,[],[f31]) ).

fof(f90,plain,
    ! [X0,X1] :
      ( ( set_difference(X0,X1) = empty_set
        | ~ subset(X0,X1) )
      & ( subset(X0,X1)
        | empty_set != set_difference(X0,X1) ) ),
    inference(nnf_transformation,[],[f33]) ).

fof(f103,plain,
    ! [X0] :
      ( apply(X0,sK1(X0)) = apply(X0,sK2(X0))
      | one_to_one(X0)
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(cnf_transformation,[],[f76]) ).

fof(f104,plain,
    ! [X0] :
      ( in(sK2(X0),relation_dom(X0))
      | one_to_one(X0)
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(cnf_transformation,[],[f76]) ).

fof(f105,plain,
    ! [X0] :
      ( in(sK1(X0),relation_dom(X0))
      | one_to_one(X0)
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(cnf_transformation,[],[f76]) ).

fof(f106,plain,
    ! [X0] :
      ( sK1(X0) != sK2(X0)
      | one_to_one(X0)
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(cnf_transformation,[],[f76]) ).

fof(f138,plain,
    ! [X0] : subset(X0,X0),
    inference(cnf_transformation,[],[f42]) ).

fof(f139,plain,
    ! [X0,X1] :
      ( ~ in(X0,relation_dom(X1))
      | relation_image(X1,singleton(X0)) = singleton(apply(X1,X0))
      | ~ relation(X1)
      | ~ function(X1) ),
    inference(cnf_transformation,[],[f59]) ).

fof(f140,plain,
    function(sK14),
    inference(cnf_transformation,[],[f88]) ).

fof(f141,plain,
    relation(sK14),
    inference(cnf_transformation,[],[f88]) ).

fof(f142,plain,
    ! [X2,X1] : relation_image(sK14,set_difference(X1,X2)) = set_difference(relation_image(sK14,X1),relation_image(sK14,X2)),
    inference(cnf_transformation,[],[f88]) ).

fof(f143,plain,
    ~ one_to_one(sK14),
    inference(cnf_transformation,[],[f88]) ).

fof(f145,plain,
    ! [X0,X1] :
      ( X0 != X1
      | singleton(X0) != set_difference(singleton(X0),singleton(X1)) ),
    inference(cnf_transformation,[],[f89]) ).

fof(f146,plain,
    ! [X0,X1] :
      ( singleton(X0) = set_difference(singleton(X0),singleton(X1))
      | X0 = X1 ),
    inference(cnf_transformation,[],[f89]) ).

fof(f149,plain,
    ! [X0,X1] :
      ( ~ subset(X0,X1)
      | empty_set = set_difference(X0,X1) ),
    inference(cnf_transformation,[],[f90]) ).

fof(f162,plain,
    ! [X1] : singleton(X1) != set_difference(singleton(X1),singleton(X1)),
    inference(equality_resolution,[],[f145]) ).

fof(f194,plain,
    ! [X0] : empty_set = set_difference(X0,X0),
    inference(resolution,[],[f149,f138]) ).

fof(f206,plain,
    ! [X0] :
      ( relation_image(X0,singleton(sK2(X0))) = singleton(apply(X0,sK2(X0)))
      | ~ relation(X0)
      | ~ function(X0)
      | one_to_one(X0)
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(resolution,[],[f139,f104]) ).

fof(f207,plain,
    ! [X0] :
      ( relation_image(X0,singleton(sK1(X0))) = singleton(apply(X0,sK1(X0)))
      | ~ relation(X0)
      | ~ function(X0)
      | one_to_one(X0)
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(resolution,[],[f139,f105]) ).

fof(f208,plain,
    ! [X0] :
      ( one_to_one(X0)
      | ~ relation(X0)
      | ~ function(X0)
      | relation_image(X0,singleton(sK1(X0))) = singleton(apply(X0,sK1(X0))) ),
    inference(duplicate_literal_removal,[],[f207]) ).

fof(f209,plain,
    ! [X0] :
      ( one_to_one(X0)
      | ~ relation(X0)
      | ~ function(X0)
      | relation_image(X0,singleton(sK2(X0))) = singleton(apply(X0,sK2(X0))) ),
    inference(duplicate_literal_removal,[],[f206]) ).

fof(f219,plain,
    ! [X0] : singleton(X0) != empty_set,
    inference(superposition,[],[f162,f194]) ).

fof(f220,plain,
    ! [X0] : empty_set = relation_image(sK14,set_difference(X0,X0)),
    inference(superposition,[],[f142,f194]) ).

fof(f222,plain,
    empty_set = relation_image(sK14,empty_set),
    inference(forward_demodulation,[],[f220,f194]) ).

fof(f317,plain,
    ( ~ relation(sK14)
    | ~ function(sK14)
    | relation_image(sK14,singleton(sK1(sK14))) = singleton(apply(sK14,sK1(sK14))) ),
    inference(resolution,[],[f208,f143]) ).

fof(f320,plain,
    ( ~ function(sK14)
    | relation_image(sK14,singleton(sK1(sK14))) = singleton(apply(sK14,sK1(sK14))) ),
    inference(forward_subsumption_resolution,[],[f317,f141]) ).

fof(f321,plain,
    relation_image(sK14,singleton(sK1(sK14))) = singleton(apply(sK14,sK1(sK14))),
    inference(forward_subsumption_resolution,[],[f320,f140]) ).

fof(f326,plain,
    ! [X0] : relation_image(sK14,set_difference(X0,singleton(sK1(sK14)))) = set_difference(relation_image(sK14,X0),singleton(apply(sK14,sK1(sK14)))),
    inference(superposition,[],[f142,f321]) ).

fof(f338,plain,
    ( ~ relation(sK14)
    | ~ function(sK14)
    | relation_image(sK14,singleton(sK2(sK14))) = singleton(apply(sK14,sK2(sK14))) ),
    inference(resolution,[],[f209,f143]) ).

fof(f341,plain,
    ( ~ function(sK14)
    | relation_image(sK14,singleton(sK2(sK14))) = singleton(apply(sK14,sK2(sK14))) ),
    inference(forward_subsumption_resolution,[],[f338,f141]) ).

fof(f342,plain,
    relation_image(sK14,singleton(sK2(sK14))) = singleton(apply(sK14,sK2(sK14))),
    inference(forward_subsumption_resolution,[],[f341,f140]) ).

fof(f351,plain,
    ! [X0] : relation_image(sK14,set_difference(X0,singleton(sK2(sK14)))) = set_difference(relation_image(sK14,X0),singleton(apply(sK14,sK2(sK14)))),
    inference(superposition,[],[f142,f342]) ).

fof(f414,plain,
    ! [X0] :
      ( set_difference(relation_image(sK14,X0),singleton(apply(sK14,sK1(sK14)))) = relation_image(sK14,set_difference(X0,singleton(sK2(sK14))))
      | one_to_one(sK14)
      | ~ relation(sK14)
      | ~ function(sK14) ),
    inference(superposition,[],[f351,f103]) ).

fof(f416,plain,
    ! [X0] :
      ( set_difference(relation_image(sK14,X0),singleton(apply(sK14,sK1(sK14)))) = relation_image(sK14,set_difference(X0,singleton(sK2(sK14))))
      | ~ relation(sK14)
      | ~ function(sK14) ),
    inference(forward_subsumption_resolution,[],[f414,f143]) ).

fof(f419,plain,
    ! [X0] :
      ( set_difference(relation_image(sK14,X0),singleton(apply(sK14,sK1(sK14)))) = relation_image(sK14,set_difference(X0,singleton(sK2(sK14))))
      | ~ function(sK14) ),
    inference(forward_subsumption_resolution,[],[f416,f141]) ).

fof(f422,plain,
    ! [X0] : set_difference(relation_image(sK14,X0),singleton(apply(sK14,sK1(sK14)))) = relation_image(sK14,set_difference(X0,singleton(sK2(sK14)))),
    inference(forward_subsumption_resolution,[],[f419,f140]) ).

fof(f423,plain,
    ! [X0] : relation_image(sK14,set_difference(X0,singleton(sK1(sK14)))) = relation_image(sK14,set_difference(X0,singleton(sK2(sK14)))),
    inference(forward_demodulation,[],[f422,f326]) ).

fof(f428,plain,
    relation_image(sK14,empty_set) = relation_image(sK14,set_difference(singleton(sK2(sK14)),singleton(sK1(sK14)))),
    inference(superposition,[],[f423,f194]) ).

fof(f447,plain,
    empty_set = relation_image(sK14,set_difference(singleton(sK2(sK14)),singleton(sK1(sK14)))),
    inference(forward_demodulation,[],[f428,f222]) ).

fof(f455,plain,
    ( empty_set = relation_image(sK14,singleton(sK2(sK14)))
    | sK1(sK14) = sK2(sK14) ),
    inference(superposition,[],[f447,f146]) ).

fof(f474,plain,
    ( empty_set = singleton(apply(sK14,sK2(sK14)))
    | sK1(sK14) = sK2(sK14) ),
    inference(forward_demodulation,[],[f455,f342]) ).

fof(f478,plain,
    sK1(sK14) = sK2(sK14),
    inference(forward_subsumption_resolution,[],[f474,f219]) ).

fof(f488,plain,
    ( sK1(sK14) != sK1(sK14)
    | one_to_one(sK14)
    | ~ relation(sK14)
    | ~ function(sK14) ),
    inference(superposition,[],[f106,f478]) ).

fof(f490,plain,
    ( one_to_one(sK14)
    | ~ relation(sK14)
    | ~ function(sK14) ),
    inference(trivial_inequality_removal,[],[f488]) ).

fof(f491,plain,
    ( ~ relation(sK14)
    | ~ function(sK14) ),
    inference(forward_subsumption_resolution,[],[f490,f143]) ).

fof(f493,plain,
    ~ function(sK14),
    inference(forward_subsumption_resolution,[],[f491,f141]) ).

fof(f494,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f493,f140]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SEU055+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.39  % Computer : n001.cluster.edu
% 0.12/0.39  % Model    : x86_64 x86_64
% 0.12/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39  % Memory   : 8046.5625MB
% 0.12/0.39  % OS       : Linux 6.8.0-71-generic
% 0.12/0.39  % CPULimit : 300
% 0.12/0.39  % WCLimit  : 300
% 0.12/0.39  % DateTime : Mon Sep 28 03:33:47 UTC 2026
% 0.12/0.39  % CPUTime  : 
% 0.12/0.39  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.43  Running first-order theorem proving
% 0.12/0.43  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
% 3.03/1.08  % (4182338)Detected formulas, will run a generic FOF schedule.
% 3.03/1.08  % (4182354)dis-21_1_sil=8000:lcm=predicate:random_seed=735860823: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)
% 3.03/1.08  % (4182350)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=3261804280:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.03/1.08  % (4182349)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=3230743756:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.03/1.08  % (4182348)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=760904025:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.03/1.08  % (4182351)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1821855875:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.03/1.08  % (4182354)Instruction limit reached! 
% 3.03/1.08  % (4182354)------------------------------
% 3.03/1.08  % (4182354)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.03/1.08  % (4182354)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.03/1.08  % (4182354)CaDiCaL version: 2.1.3
% 3.03/1.08  % (4182354)Termination reason: Instruction limit
% 3.03/1.08  % (4182354)Termination phase: Saturation
% 3.03/1.08  % (4182354)Time elapsed: 0.045 s
% 3.03/1.08  % (4182354)Peak memory usage: 91 MB
% 3.03/1.08  % (4182354)Instructions burned: 131 (million)
% 3.03/1.08  % (4182353)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2509010233:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.03/1.08  % (4182352)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2194215323:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.03/1.08  % (4182353)First to succeed.
% 3.03/1.08  % (4182353)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4182338"
% 3.03/1.08  % (4182351)Instruction limit reached! 
% 3.03/1.08  % (4182351)------------------------------
% 3.03/1.08  % (4182351)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.03/1.08  % (4182351)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.03/1.08  % (4182351)CaDiCaL version: 2.1.3
% 3.03/1.08  % (4182351)Termination reason: Instruction limit
% 3.03/1.08  % (4182351)Termination phase: Saturation
% 3.03/1.08  % (4182351)Time elapsed: 0.063 s
% 3.03/1.08  % (4182351)Peak memory usage: 89 MB
% 3.03/1.08  % (4182351)Instructions burned: 110 (million)
% 3.03/1.08  % (4182352)Also succeeded, but the first one will report.
% 3.03/1.08  % (4182373)lrs+10_1_sil=8000:sp=occurrence:random_seed=2776745898:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 3.03/1.08  % (4182373)Also succeeded, but the first one will report.
% 3.03/1.08  % (4182376)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3726046257:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.03/1.08  % (4182353)Refutation found. Thanks to Tanya!
% 3.03/1.08  % SZS status Theorem for theBenchmark
% 3.03/1.08  % SZS output start Proof for theBenchmark
% See solution above
% 3.51/1.28  % (4182353)------------------------------
% 3.51/1.28  % (4182353)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.51/1.28  % (4182353)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.51/1.28  % (4182353)CaDiCaL version: 2.1.3
% 3.51/1.28  % (4182353)Termination reason: Refutation
% 3.51/1.28  % (4182353)Time elapsed: 0.013 s
% 3.51/1.28  % (4182353)Peak memory usage: 89 MB
% 3.51/1.28  % (4182353)Instructions burned: 16 (million)
% 3.51/1.28  % (4182353)------------------------------
% 3.51/1.28  % (4182353)------------------------------
% 3.51/1.28  % (4182338)Success in time 0.446 s
% 3.51/1.28  % Vampire exiting
%------------------------------------------------------------------------------