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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SEU292+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 : n005.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 12:48:11 PM UTC 2026

% Result   : Theorem 1.52s 1.78s
% Output   : Refutation 5.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   61 (  15 unt;   2 def)
%            Number of atoms       :  205 (  57 equ)
%            Maximal formula atoms :   13 (   3 avg)
%            Number of connectives :  227 (  83   ~;  80   |;  39   &)
%                                         (   9 <=>;  16  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   3 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;   6 con; 0-3 aty)
%            Number of variables   :   93 (   0 sgn  83   !;  10   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f4,axiom,
    ! [X0,X1,X2] :
      ( element(X2,powerset(cartesian_product2(X0,X1)))
     => relation(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_relset_1) ).

fof(f6,axiom,
    ! [X0,X1,X2] :
      ( relation_of2_as_subset(X2,X0,X1)
     => ( ( ( X1 = empty_set
           => X0 = empty_set )
         => ( quasi_total(X2,X0,X1)
          <=> X0 = relation_dom_as_subset(X0,X1,X2) ) )
        & ( X1 = empty_set
         => ( X0 = empty_set
            | ( quasi_total(X2,X0,X1)
            <=> X2 = empty_set ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_funct_2) ).

fof(f16,axiom,
    ! [X0,X1,X2] :
      ( relation_of2_as_subset(X2,X0,X1)
     => element(X2,powerset(cartesian_product2(X0,X1))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_relset_1) ).

fof(f44,axiom,
    ! [X0,X1,X2] :
      ( relation_of2(X2,X0,X1)
     => relation_dom_as_subset(X0,X1,X2) = relation_dom(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k4_relset_1) ).

fof(f45,axiom,
    ! [X0,X1,X2] :
      ( relation_of2_as_subset(X2,X0,X1)
    <=> relation_of2(X2,X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).

fof(f48,conjecture,
    ! [X0,X1,X2,X3] :
      ( ( function(X3)
        & quasi_total(X3,X0,X1)
        & relation_of2_as_subset(X3,X0,X1) )
     => ! [X4] :
          ( ( relation(X4)
            & function(X4) )
         => ( in(X2,X0)
           => ( X1 = empty_set
              | apply(relation_composition(X3,X4),X2) = apply(X4,apply(X3,X2)) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t21_funct_2) ).

fof(f49,negated_conjecture,
    ~ ! [X0,X1,X2,X3] :
        ( ( function(X3)
          & quasi_total(X3,X0,X1)
          & relation_of2_as_subset(X3,X0,X1) )
       => ! [X4] :
            ( ( relation(X4)
              & function(X4) )
           => ( in(X2,X0)
             => ( X1 = empty_set
                | apply(relation_composition(X3,X4),X2) = apply(X4,apply(X3,X2)) ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f48]) ).

fof(f50,axiom,
    ! [X0,X1] :
      ( ( relation(X1)
        & function(X1) )
     => ! [X2] :
          ( ( relation(X2)
            & function(X2) )
         => ( in(X0,relation_dom(X1))
           => apply(relation_composition(X1,X2),X0) = apply(X2,apply(X1,X0)) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t23_funct_1) ).

fof(f69,plain,
    ! [X0,X1,X2] :
      ( relation(X2)
      | ~ element(X2,powerset(cartesian_product2(X0,X1))) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f72,plain,
    ! [X0,X1,X2] :
      ( ( ( ( quasi_total(X2,X0,X1)
          <=> X0 = relation_dom_as_subset(X0,X1,X2) )
          | ( empty_set != X0
            & X1 = empty_set ) )
        & ( X0 = empty_set
          | ( quasi_total(X2,X0,X1)
          <=> X2 = empty_set )
          | empty_set != X1 ) )
      | ~ relation_of2_as_subset(X2,X0,X1) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f73,plain,
    ! [X0,X1,X2] :
      ( ( ( ( quasi_total(X2,X0,X1)
          <=> X0 = relation_dom_as_subset(X0,X1,X2) )
          | ( empty_set != X0
            & X1 = empty_set ) )
        & ( X0 = empty_set
          | ( quasi_total(X2,X0,X1)
          <=> X2 = empty_set )
          | empty_set != X1 ) )
      | ~ relation_of2_as_subset(X2,X0,X1) ),
    inference(flattening,[],[f72]) ).

fof(f77,plain,
    ! [X0,X1,X2] :
      ( element(X2,powerset(cartesian_product2(X0,X1)))
      | ~ relation_of2_as_subset(X2,X0,X1) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f90,plain,
    ! [X0,X1,X2] :
      ( relation_dom_as_subset(X0,X1,X2) = relation_dom(X2)
      | ~ relation_of2(X2,X0,X1) ),
    inference(ennf_transformation,[],[f44]) ).

fof(f92,plain,
    ? [X0,X1,X2,X3] :
      ( ? [X4] :
          ( empty_set != X1
          & apply(relation_composition(X3,X4),X2) != apply(X4,apply(X3,X2))
          & in(X2,X0)
          & relation(X4)
          & function(X4) )
      & function(X3)
      & quasi_total(X3,X0,X1)
      & relation_of2_as_subset(X3,X0,X1) ),
    inference(ennf_transformation,[],[f49]) ).

fof(f93,plain,
    ? [X0,X1,X2,X3] :
      ( ? [X4] :
          ( empty_set != X1
          & apply(relation_composition(X3,X4),X2) != apply(X4,apply(X3,X2))
          & in(X2,X0)
          & relation(X4)
          & function(X4) )
      & function(X3)
      & quasi_total(X3,X0,X1)
      & relation_of2_as_subset(X3,X0,X1) ),
    inference(flattening,[],[f92]) ).

fof(f94,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( apply(relation_composition(X1,X2),X0) = apply(X2,apply(X1,X0))
          | ~ in(X0,relation_dom(X1))
          | ~ relation(X2)
          | ~ function(X2) )
      | ~ relation(X1)
      | ~ function(X1) ),
    inference(ennf_transformation,[],[f50]) ).

fof(f95,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( apply(relation_composition(X1,X2),X0) = apply(X2,apply(X1,X0))
          | ~ in(X0,relation_dom(X1))
          | ~ relation(X2)
          | ~ function(X2) )
      | ~ relation(X1)
      | ~ function(X1) ),
    inference(flattening,[],[f94]) ).

fof(f105,plain,
    ! [X0,X1,X2] :
      ( ( ( ( ( quasi_total(X2,X0,X1)
              | relation_dom_as_subset(X0,X1,X2) != X0 )
            & ( X0 = relation_dom_as_subset(X0,X1,X2)
              | ~ quasi_total(X2,X0,X1) ) )
          | ( empty_set != X0
            & X1 = empty_set ) )
        & ( X0 = empty_set
          | ( ( quasi_total(X2,X0,X1)
              | empty_set != X2 )
            & ( X2 = empty_set
              | ~ quasi_total(X2,X0,X1) ) )
          | empty_set != X1 ) )
      | ~ relation_of2_as_subset(X2,X0,X1) ),
    inference(nnf_transformation,[],[f73]) ).

fof(f123,plain,
    ! [X0,X1,X2] :
      ( ( relation_of2_as_subset(X2,X0,X1)
        | ~ relation_of2(X2,X0,X1) )
      & ( relation_of2(X2,X0,X1)
        | ~ relation_of2_as_subset(X2,X0,X1) ) ),
    inference(nnf_transformation,[],[f45]) ).

fof(f124,plain,
    ( empty_set != sK18
    & apply(relation_composition(sK20,sK21),sK19) != apply(sK21,apply(sK20,sK19))
    & in(sK19,sK17)
    & relation(sK21)
    & function(sK21)
    & function(sK20)
    & quasi_total(sK20,sK17,sK18)
    & relation_of2_as_subset(sK20,sK17,sK18) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK17,sK18,sK19,sK20,sK21]),skolemize(X0,sK17),skolemize(X1,sK18),skolemize(X2,sK19),skolemize(X3,sK20),skolemize(X4,sK21)],[f93]) ).

fof(f128,plain,
    ! [X2,X0,X1] :
      ( relation(X2)
      | ~ element(X2,powerset(cartesian_product2(X0,X1))) ),
    inference(cnf_transformation,[],[f69]) ).

fof(f133,plain,
    ! [X2,X0,X1] :
      ( relation_dom_as_subset(X0,X1,X2) = X0
      | ~ quasi_total(X2,X0,X1)
      | empty_set = X1
      | ~ relation_of2_as_subset(X2,X0,X1) ),
    inference(cnf_transformation,[],[f105]) ).

fof(f139,plain,
    ! [X2,X0,X1] :
      ( element(X2,powerset(cartesian_product2(X0,X1)))
      | ~ relation_of2_as_subset(X2,X0,X1) ),
    inference(cnf_transformation,[],[f77]) ).

fof(f189,plain,
    ! [X2,X0,X1] :
      ( relation_dom_as_subset(X0,X1,X2) = relation_dom(X2)
      | ~ relation_of2(X2,X0,X1) ),
    inference(cnf_transformation,[],[f90]) ).

fof(f190,plain,
    ! [X2,X0,X1] :
      ( relation_of2(X2,X0,X1)
      | ~ relation_of2_as_subset(X2,X0,X1) ),
    inference(cnf_transformation,[],[f123]) ).

fof(f194,plain,
    relation_of2_as_subset(sK20,sK17,sK18),
    inference(cnf_transformation,[],[f124]) ).

fof(f195,plain,
    quasi_total(sK20,sK17,sK18),
    inference(cnf_transformation,[],[f124]) ).

fof(f196,plain,
    function(sK20),
    inference(cnf_transformation,[],[f124]) ).

fof(f197,plain,
    function(sK21),
    inference(cnf_transformation,[],[f124]) ).

fof(f198,plain,
    relation(sK21),
    inference(cnf_transformation,[],[f124]) ).

fof(f199,plain,
    in(sK19,sK17),
    inference(cnf_transformation,[],[f124]) ).

fof(f200,plain,
    apply(relation_composition(sK20,sK21),sK19) != apply(sK21,apply(sK20,sK19)),
    inference(cnf_transformation,[],[f124]) ).

fof(f201,plain,
    empty_set != sK18,
    inference(cnf_transformation,[],[f124]) ).

fof(f202,plain,
    ! [X2,X0,X1] :
      ( apply(relation_composition(X1,X2),X0) = apply(X2,apply(X1,X0))
      | ~ in(X0,relation_dom(X1))
      | ~ relation(X2)
      | ~ function(X2)
      | ~ relation(X1)
      | ~ function(X1) ),
    inference(cnf_transformation,[],[f95]) ).

fof(f300,plain,
    ! [X2,X0,X1] :
      ( relation_dom(X2) = X0
      | ~ relation_of2(X2,X0,X1)
      | ~ quasi_total(X2,X0,X1)
      | empty_set = X1
      | ~ relation_of2_as_subset(X2,X0,X1) ),
    inference(superposition,[],[f189,f133]) ).

fof(f301,plain,
    ! [X2,X0,X1] :
      ( ~ relation_of2_as_subset(X2,X0,X1)
      | ~ quasi_total(X2,X0,X1)
      | empty_set = X1
      | relation_dom(X2) = X0 ),
    inference(forward_subsumption_resolution,[],[f300,f190]) ).

fof(f305,plain,
    ( apply(sK21,apply(sK20,sK19)) != apply(sK21,apply(sK20,sK19))
    | ~ in(sK19,relation_dom(sK20))
    | ~ relation(sK21)
    | ~ function(sK21)
    | ~ relation(sK20)
    | ~ function(sK20) ),
    inference(superposition,[],[f200,f202]) ).

fof(f306,plain,
    ( ~ in(sK19,relation_dom(sK20))
    | ~ relation(sK21)
    | ~ function(sK21)
    | ~ relation(sK20)
    | ~ function(sK20) ),
    inference(trivial_inequality_removal,[],[f305]) ).

fof(f307,plain,
    ( ~ in(sK19,relation_dom(sK20))
    | ~ function(sK21)
    | ~ relation(sK20)
    | ~ function(sK20) ),
    inference(forward_subsumption_resolution,[],[f306,f198]) ).

fof(f308,plain,
    ( ~ in(sK19,relation_dom(sK20))
    | ~ relation(sK20)
    | ~ function(sK20) ),
    inference(forward_subsumption_resolution,[],[f307,f197]) ).

fof(f309,plain,
    ( ~ in(sK19,relation_dom(sK20))
    | ~ relation(sK20) ),
    inference(forward_subsumption_resolution,[],[f308,f196]) ).

fof(f311,definition,
    ( spl22_3
  <=> relation(sK20) ),
    introduced(definition,[new_symbols(definition,[spl22_3])],[avatar_definition]) ).

fof(f313,plain,
    ( ~ relation(sK20)
    | spl22_3 ),
    inference(avatar_component_clause,[],[f311]) ).

fof(f315,definition,
    ( spl22_4
  <=> in(sK19,relation_dom(sK20)) ),
    introduced(definition,[new_symbols(definition,[spl22_4])],[avatar_definition]) ).

fof(f317,plain,
    ( ~ in(sK19,relation_dom(sK20))
    | spl22_4 ),
    inference(avatar_component_clause,[],[f315]) ).

fof(f318,plain,
    ( ~ spl22_3
    | ~ spl22_4 ),
    inference(avatar_split_clause,[],[f309,f315,f311]) ).

fof(f319,plain,
    ( ! [X0,X1] : ~ element(sK20,powerset(cartesian_product2(X0,X1)))
    | spl22_3 ),
    inference(resolution,[],[f313,f128]) ).

fof(f336,plain,
    ( ! [X0,X1] : ~ relation_of2_as_subset(sK20,X0,X1)
    | spl22_3 ),
    inference(resolution,[],[f319,f139]) ).

fof(f342,plain,
    ( $false
    | spl22_3 ),
    inference(resolution,[],[f336,f194]) ).

fof(f344,plain,
    spl22_3,
    inference(avatar_contradiction_clause,[],[f342]) ).

fof(f483,plain,
    ( ~ quasi_total(sK20,sK17,sK18)
    | empty_set = sK18
    | sK17 = relation_dom(sK20) ),
    inference(resolution,[],[f301,f194]) ).

fof(f486,plain,
    ( empty_set = sK18
    | sK17 = relation_dom(sK20) ),
    inference(forward_subsumption_resolution,[],[f483,f195]) ).

fof(f487,plain,
    sK17 = relation_dom(sK20),
    inference(forward_subsumption_resolution,[],[f486,f201]) ).

fof(f493,plain,
    ( ~ in(sK19,sK17)
    | spl22_4 ),
    inference(superposition,[],[f317,f487]) ).

fof(f498,plain,
    ( $false
    | spl22_4 ),
    inference(forward_subsumption_resolution,[],[f493,f199]) ).

fof(f499,plain,
    spl22_4,
    inference(avatar_contradiction_clause,[],[f498]) ).

cnf(s2,plain,
    ( ~ spl22_3
    | ~ spl22_4 ),
    inference(sat_conversion,[],[f318]) ).

cnf(s3,plain,
    spl22_3,
    inference(sat_conversion,[],[f344]) ).

cnf(s7,plain,
    spl22_4,
    inference(sat_conversion,[],[f499]) ).

cnf(s9,plain,
    $false,
    inference(rat,[],[s2,s7,s3]) ).

fof(f502,plain,
    $false,
    inference(avatar_sat_refutation,[],[s9]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : SEU292+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.08  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.44  % Computer : n005.cluster.edu
% 0.18/0.44  % Model    : x86_64 x86_64
% 0.18/0.44  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44  % Memory   : 8046.5625MB
% 0.18/0.44  % OS       : Linux 6.8.0-71-generic
% 0.18/0.44  % CPULimit : 300
% 0.18/0.44  % WCLimit  : 300
% 0.18/0.44  % DateTime : Mon Sep 28 04:31:32 UTC 2026
% 0.18/0.45  % CPUTime  : 
% 0.18/0.45  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.21/0.50  Running first-order theorem proving
% 0.21/0.50  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
% 1.52/1.78  % (432335)Detected formulas, will run a generic FOF schedule.
% 1.52/1.78  % (432346)dis-21_1_sil=8000:lcm=predicate:random_seed=3724477167: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)
% 1.52/1.78  % (432345)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=810906012:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 1.52/1.78  % (432345)First to succeed.
% 1.52/1.78  % (432345)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-432335"
% 1.52/1.78  % (432346)Instruction limit reached! 
% 1.52/1.78  % (432346)------------------------------
% 1.52/1.78  % (432346)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.52/1.78  % (432346)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.52/1.78  % (432346)CaDiCaL version: 2.1.3
% 1.52/1.78  % (432346)Termination reason: Instruction limit
% 1.52/1.78  % (432346)Termination phase: Saturation
% 1.52/1.78  % (432346)Time elapsed: 0.056 s
% 1.52/1.78  % (432346)Peak memory usage: 90 MB
% 1.52/1.78  % (432346)Instructions burned: 130 (million)
% 1.52/1.78  % (432342)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=3576933555:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 1.52/1.78  % (432340)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=151206363:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 1.52/1.78  % (432341)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=588699626:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 1.52/1.78  % (432343)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3686481914:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 1.52/1.78  % (432344)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4176310460:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 1.52/1.78  % (432343)Refutation not found, incomplete strategy
% 1.52/1.78  % (432343)------------------------------
% 1.52/1.78  % (432343)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.52/1.78  % (432343)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.52/1.78  % (432343)CaDiCaL version: 2.1.3
% 1.52/1.78  % (432343)Termination reason: Refutation not found, incomplete strategy
% 1.52/1.78  % (432343)Time elapsed: 0.006 s
% 1.52/1.78  % (432343)Peak memory usage: 88 MB
% 1.52/1.78  % (432343)Instructions burned: 4 (million)
% 1.52/1.78  % (432344)Instruction limit reached! 
% 1.52/1.78  % (432344)------------------------------
% 1.52/1.78  % (432344)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.52/1.78  % (432344)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.52/1.78  % (432344)CaDiCaL version: 2.1.3
% 1.52/1.78  % (432344)Termination reason: Instruction limit
% 1.52/1.78  % (432344)Termination phase: Saturation
% 1.52/1.78  % (432344)Time elapsed: 0.125 s
% 1.52/1.78  % (432344)Peak memory usage: 88 MB
% 1.52/1.78  % (432344)Instructions burned: 119 (million)
% 1.52/1.78  % (432349)lrs+10_1_sil=8000:sp=occurrence:random_seed=3963065652:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 1.52/1.78  % (432349)Instruction limit reached! 
% 1.52/1.78  % (432349)------------------------------
% 1.52/1.78  % (432349)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.52/1.78  % (432349)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.52/1.78  % (432349)CaDiCaL version: 2.1.3
% 1.52/1.78  % (432349)Termination reason: Instruction limit
% 1.52/1.78  % (432349)Termination phase: Saturation
% 1.52/1.78  % (432349)Time elapsed: 0.144 s
% 1.52/1.78  % (432349)Peak memory usage: 92 MB
% 1.52/1.78  % (432349)Instructions burned: 286 (million)
% 1.52/1.78  % (432345)Refutation found. Thanks to Tanya!
% 1.52/1.78  % SZS status Theorem for theBenchmark
% 1.52/1.78  % SZS output start Proof for theBenchmark
% See solution above
% 5.16/2.01  % (432345)------------------------------
% 5.16/2.01  % (432345)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.16/2.01  % (432345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.16/2.01  % (432345)CaDiCaL version: 2.1.3
% 5.16/2.01  % (432345)Termination reason: Refutation
% 5.16/2.01  % (432345)Time elapsed: 0.019 s
% 5.16/2.01  % (432345)Peak memory usage: 90 MB
% 5.16/2.01  % (432345)Instructions burned: 15 (million)
% 5.16/2.01  % (432345)------------------------------
% 5.16/2.01  % (432345)------------------------------
% 5.16/2.01  % (432335)Success in time 0.604 s
% 5.16/2.01  % Vampire exiting
%------------------------------------------------------------------------------