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Vampire-SAT---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : CSR092+1 : TPTP v9.3.1. Bugfixed v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n016.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 09:45:09 AM UTC 2026

% Result   : Theorem 11.75s 2.20s
% Output   : Refutation 12.27s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   69 (  23 unt;   3 def)
%            Number of atoms       :  164 (   4 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  163 (  68   ~;  77   |;   8   &)
%                                         (   3 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   4 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   6 con; 0-0 aty)
%            Number of variables   :   59 (   0 sgn  57   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f26,axiom,
    ! [X0,X1] :
      ( s__subclass(X0,X1)
     => ( s__instance(X0,s__SetOrClass)
        & s__instance(X1,s__SetOrClass) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR003+0.ax',kb_SUMO_26) ).

fof(f27,axiom,
    ! [X0,X1,X2] :
      ( ( s__instance(X1,s__SetOrClass)
        & s__instance(X0,s__SetOrClass) )
     => ( ( s__subclass(X0,X1)
          & s__instance(X2,X0) )
       => s__instance(X2,X1) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR003+0.ax',kb_SUMO_27) ).

fof(f97,axiom,
    ! [X0,X1] :
      ( ( s__instance(X1,s__Organism)
        & s__instance(X0,s__Organism) )
     => ( s__parent(X0,X1)
       => s__ancestor(X0,X1) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR003+0.ax',kb_SUMO_97) ).

fof(f125,axiom,
    ! [X0,X1] :
      ( ( s__instance(X1,s__Organism)
        & s__instance(X0,s__Organism) )
     => ( s__son(X0,X1)
       => s__parent(X0,X1) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR003+0.ax',kb_SUMO_125) ).

fof(f12084,axiom,
    s__subclass(s__Man,s__Organism),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR003+3.ax',kb_SUMOcache_4867) ).

fof(f13273,axiom,
    s__subclass(s__Human,s__Organism),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR003+3.ax',kb_SUMOcache_6056) ).

fof(f14788,axiom,
    s__instance(s__Man22_1,s__Man),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',local_1) ).

fof(f14789,axiom,
    s__instance(s__Ancestor22_1,s__Human),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',local_2) ).

fof(f14790,axiom,
    s__son(s__Man22_1,s__Ancestor22_1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',local_3) ).

fof(f14791,conjecture,
    ? [X0] :
      ( s__ancestor(s__Man22_1,X0)
      & X0 = s__Ancestor22_1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_from_SUMO) ).

fof(f14792,negated_conjecture,
    ~ ? [X0] :
        ( s__ancestor(s__Man22_1,X0)
        & X0 = s__Ancestor22_1 ),
    inference(negated_conjecture,[status(cth)],[f14791]) ).

fof(f14886,plain,
    ! [X0,X1] :
      ( ( s__instance(X0,s__SetOrClass)
        & s__instance(X1,s__SetOrClass) )
      | ~ s__subclass(X0,X1) ),
    inference(ennf_transformation,[],[f26]) ).

fof(f14887,plain,
    ! [X0,X1,X2] :
      ( s__instance(X2,X1)
      | ~ s__subclass(X0,X1)
      | ~ s__instance(X2,X0)
      | ~ s__instance(X1,s__SetOrClass)
      | ~ s__instance(X0,s__SetOrClass) ),
    inference(ennf_transformation,[],[f27]) ).

fof(f14888,plain,
    ! [X0,X1,X2] :
      ( s__instance(X2,X1)
      | ~ s__subclass(X0,X1)
      | ~ s__instance(X2,X0)
      | ~ s__instance(X1,s__SetOrClass)
      | ~ s__instance(X0,s__SetOrClass) ),
    inference(flattening,[],[f14887]) ).

fof(f15004,plain,
    ! [X0,X1] :
      ( s__ancestor(X0,X1)
      | ~ s__parent(X0,X1)
      | ~ s__instance(X1,s__Organism)
      | ~ s__instance(X0,s__Organism) ),
    inference(ennf_transformation,[],[f97]) ).

fof(f15005,plain,
    ! [X0,X1] :
      ( s__ancestor(X0,X1)
      | ~ s__parent(X0,X1)
      | ~ s__instance(X1,s__Organism)
      | ~ s__instance(X0,s__Organism) ),
    inference(flattening,[],[f15004]) ).

fof(f15054,plain,
    ! [X0,X1] :
      ( s__parent(X0,X1)
      | ~ s__son(X0,X1)
      | ~ s__instance(X1,s__Organism)
      | ~ s__instance(X0,s__Organism) ),
    inference(ennf_transformation,[],[f125]) ).

fof(f15055,plain,
    ! [X0,X1] :
      ( s__parent(X0,X1)
      | ~ s__son(X0,X1)
      | ~ s__instance(X1,s__Organism)
      | ~ s__instance(X0,s__Organism) ),
    inference(flattening,[],[f15054]) ).

fof(f19980,plain,
    ! [X0] :
      ( ~ s__ancestor(s__Man22_1,X0)
      | s__Ancestor22_1 != X0 ),
    inference(ennf_transformation,[],[f14792]) ).

fof(f21285,plain,
    ! [X0,X1] :
      ( ~ s__subclass(X0,X1)
      | s__instance(X1,s__SetOrClass) ),
    inference(cnf_transformation,[],[f14886]) ).

fof(f21286,plain,
    ! [X0,X1] :
      ( ~ s__subclass(X0,X1)
      | s__instance(X0,s__SetOrClass) ),
    inference(cnf_transformation,[],[f14886]) ).

fof(f21287,plain,
    ! [X2,X0,X1] :
      ( ~ s__instance(X0,s__SetOrClass)
      | ~ s__instance(X1,s__SetOrClass)
      | ~ s__instance(X2,X0)
      | ~ s__subclass(X0,X1)
      | s__instance(X2,X1) ),
    inference(cnf_transformation,[],[f14888]) ).

fof(f21356,plain,
    ! [X0,X1] :
      ( ~ s__instance(X0,s__Organism)
      | ~ s__instance(X1,s__Organism)
      | ~ s__parent(X0,X1)
      | s__ancestor(X0,X1) ),
    inference(cnf_transformation,[],[f15005]) ).

fof(f21381,plain,
    ! [X0,X1] :
      ( ~ s__instance(X0,s__Organism)
      | ~ s__instance(X1,s__Organism)
      | ~ s__son(X0,X1)
      | s__parent(X0,X1) ),
    inference(cnf_transformation,[],[f15055]) ).

fof(f34417,plain,
    s__subclass(s__Man,s__Organism),
    inference(cnf_transformation,[],[f12084]) ).

fof(f35606,plain,
    s__subclass(s__Human,s__Organism),
    inference(cnf_transformation,[],[f13273]) ).

fof(f37121,plain,
    s__instance(s__Man22_1,s__Man),
    inference(cnf_transformation,[],[f14788]) ).

fof(f37122,plain,
    s__instance(s__Ancestor22_1,s__Human),
    inference(cnf_transformation,[],[f14789]) ).

fof(f37123,plain,
    s__son(s__Man22_1,s__Ancestor22_1),
    inference(cnf_transformation,[],[f14790]) ).

fof(f37124,plain,
    ! [X0] :
      ( s__Ancestor22_1 != X0
      | ~ s__ancestor(s__Man22_1,X0) ),
    inference(cnf_transformation,[],[f19980]) ).

fof(f37502,plain,
    ~ s__ancestor(s__Man22_1,s__Ancestor22_1),
    inference(equality_resolution,[],[f37124]) ).

fof(f37527,plain,
    ! [X0,X1] :
      ( ~ s__instance(X0,s__SetOrClass)
      | s__subclass(X0,X1) ),
    inference(consistent_polarity_flipping,[],[f21286]) ).

fof(f37528,plain,
    ! [X0,X1] :
      ( ~ s__instance(X1,s__SetOrClass)
      | s__subclass(X0,X1) ),
    inference(consistent_polarity_flipping,[],[f21285]) ).

fof(f37529,plain,
    ! [X2,X0,X1] :
      ( s__instance(X0,s__SetOrClass)
      | s__instance(X1,s__SetOrClass)
      | s__instance(X2,X0)
      | s__subclass(X0,X1)
      | ~ s__instance(X2,X1) ),
    inference(consistent_polarity_flipping,[],[f21287]) ).

fof(f37594,plain,
    ! [X0,X1] :
      ( s__ancestor(X0,X1)
      | s__instance(X1,s__Organism)
      | s__parent(X0,X1)
      | s__instance(X0,s__Organism) ),
    inference(consistent_polarity_flipping,[],[f21356]) ).

fof(f37619,plain,
    ! [X0,X1] :
      ( s__son(X0,X1)
      | s__instance(X1,s__Organism)
      | s__instance(X0,s__Organism)
      | ~ s__parent(X0,X1) ),
    inference(consistent_polarity_flipping,[],[f21381]) ).

fof(f49157,plain,
    ~ s__subclass(s__Man,s__Organism),
    inference(consistent_polarity_flipping,[],[f34417]) ).

fof(f50346,plain,
    ~ s__subclass(s__Human,s__Organism),
    inference(consistent_polarity_flipping,[],[f35606]) ).

fof(f51696,plain,
    ~ s__instance(s__Man22_1,s__Man),
    inference(consistent_polarity_flipping,[],[f37121]) ).

fof(f51697,plain,
    ~ s__instance(s__Ancestor22_1,s__Human),
    inference(consistent_polarity_flipping,[],[f37122]) ).

fof(f51698,plain,
    ~ s__son(s__Man22_1,s__Ancestor22_1),
    inference(consistent_polarity_flipping,[],[f37123]) ).

fof(f121718,plain,
    ( s__instance(s__Ancestor22_1,s__Organism)
    | s__parent(s__Man22_1,s__Ancestor22_1)
    | s__instance(s__Man22_1,s__Organism) ),
    inference(resolution,[],[f37594,f37502]) ).

fof(f121722,definition,
    ( spl478_918
  <=> s__instance(s__Man22_1,s__Organism) ),
    introduced(definition,[new_symbols(definition,[spl478_918])],[avatar_definition]) ).

fof(f121724,plain,
    ( s__instance(s__Man22_1,s__Organism)
    | ~ spl478_918 ),
    inference(avatar_component_clause,[],[f121722]) ).

fof(f121726,definition,
    ( spl478_919
  <=> s__parent(s__Man22_1,s__Ancestor22_1) ),
    introduced(definition,[new_symbols(definition,[spl478_919])],[avatar_definition]) ).

fof(f121728,plain,
    ( s__parent(s__Man22_1,s__Ancestor22_1)
    | ~ spl478_919 ),
    inference(avatar_component_clause,[],[f121726]) ).

fof(f121730,definition,
    ( spl478_920
  <=> s__instance(s__Ancestor22_1,s__Organism) ),
    introduced(definition,[new_symbols(definition,[spl478_920])],[avatar_definition]) ).

fof(f121732,plain,
    ( s__instance(s__Ancestor22_1,s__Organism)
    | ~ spl478_920 ),
    inference(avatar_component_clause,[],[f121730]) ).

fof(f121733,plain,
    ( spl478_918
    | spl478_919
    | spl478_920 ),
    inference(avatar_split_clause,[],[f121718,f121730,f121726,f121722]) ).

fof(f121820,plain,
    ( s__instance(s__Ancestor22_1,s__Organism)
    | s__instance(s__Man22_1,s__Organism)
    | ~ s__parent(s__Man22_1,s__Ancestor22_1) ),
    inference(resolution,[],[f37619,f51698]) ).

fof(f121821,plain,
    ( s__instance(s__Ancestor22_1,s__Organism)
    | s__instance(s__Man22_1,s__Organism)
    | ~ spl478_919 ),
    inference(forward_subsumption_resolution,[],[f121820,f121728]) ).

fof(f121822,plain,
    ( spl478_918
    | spl478_920
    | ~ spl478_919 ),
    inference(avatar_split_clause,[],[f121821,f121726,f121730,f121722]) ).

fof(f134698,plain,
    ! [X2,X0,X1] :
      ( s__instance(X1,s__SetOrClass)
      | s__instance(X2,X0)
      | s__subclass(X0,X1)
      | ~ s__instance(X2,X1) ),
    inference(forward_subsumption_resolution,[],[f37529,f37527]) ).

fof(f134699,plain,
    ! [X2,X0,X1] :
      ( ~ s__instance(X2,X1)
      | s__subclass(X0,X1)
      | s__instance(X2,X0) ),
    inference(forward_subsumption_resolution,[],[f134698,f37528]) ).

fof(f135060,plain,
    ( ! [X0] :
        ( s__subclass(X0,s__Organism)
        | s__instance(s__Ancestor22_1,X0) )
    | ~ spl478_920 ),
    inference(resolution,[],[f134699,f121732]) ).

fof(f135090,plain,
    ( s__instance(s__Ancestor22_1,s__Human)
    | ~ spl478_920 ),
    inference(resolution,[],[f135060,f50346]) ).

fof(f135129,plain,
    ( $false
    | ~ spl478_920 ),
    inference(forward_subsumption_resolution,[],[f135090,f51697]) ).

fof(f135130,plain,
    ~ spl478_920,
    inference(avatar_contradiction_clause,[],[f135129]) ).

fof(f135136,plain,
    ( ! [X0] :
        ( s__subclass(X0,s__Organism)
        | s__instance(s__Man22_1,X0) )
    | ~ spl478_918 ),
    inference(resolution,[],[f121724,f134699]) ).

fof(f135141,plain,
    ( s__instance(s__Man22_1,s__Man)
    | ~ spl478_918 ),
    inference(resolution,[],[f135136,f49157]) ).

fof(f135181,plain,
    ( $false
    | ~ spl478_918 ),
    inference(forward_subsumption_resolution,[],[f135141,f51696]) ).

fof(f135182,plain,
    ~ spl478_918,
    inference(avatar_contradiction_clause,[],[f135181]) ).

cnf(s9276,plain,
    ( spl478_918
    | spl478_919
    | spl478_920 ),
    inference(sat_conversion,[],[f121733]) ).

cnf(s9300,plain,
    ( spl478_918
    | ~ spl478_919
    | spl478_920 ),
    inference(sat_conversion,[],[f121822]) ).

cnf(s9845,plain,
    ~ spl478_920,
    inference(sat_conversion,[],[f135130]) ).

cnf(s9847,plain,
    ~ spl478_918,
    inference(sat_conversion,[],[f135182]) ).

cnf(s9855,plain,
    ~ spl478_919,
    inference(rat,[],[s9300,s9845,s9847]) ).

cnf(s9856,plain,
    $false,
    inference(rat,[],[s9276,s9845,s9855,s9847]) ).

fof(f135183,plain,
    $false,
    inference(avatar_sat_refutation,[],[s9856]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR092+1 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19  % Computer : n016.cluster.edu
% 0.08/0.19  % Model    : x86_64 x86_64
% 0.08/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19  % Memory   : 8046.5625MB
% 0.08/0.19  % OS       : Linux 6.8.0-71-generic
% 0.08/0.20  % CPULimit : 300
% 0.08/0.20  % WCLimit  : 300
% 0.08/0.20  % DateTime : Mon Sep 28 22:46:04 UTC 2026
% 0.08/0.20  % CPUTime  : 
% 0.08/0.20  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.23  Running first-order model finding
% 0.08/0.23  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.85/1.90  % (4121116)Will run a generic schedule for satisfiability detection.
% 7.85/1.90  % (4121126)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3870138035:i=116_2997 on theBenchmark for (2997ds/116Mi)
% 7.85/1.90  % (4121123)% WARNING: option uhcvi not known.
% 7.85/1.90  % (4121122)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1056155359_2997 on theBenchmark for (2997ds/0Mi)
% 7.85/1.90  % (4121123)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1499410660:i=135531:add=off:rawr=on_2997 on theBenchmark for (2997ds/135531Mi)
% 7.85/1.90  % (4121124)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1500554627:i=88024:add=on:rawr=on_2997 on theBenchmark for (2997ds/88024Mi)
% 7.85/1.90  % (4121125)dis+10_1_sil=32000:sp=arity:random_seed=884788836:i=103:fgj=on_2997 on theBenchmark for (2997ds/103Mi)
% 7.85/1.90  % (4121127)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1255699347:i=131_2997 on theBenchmark for (2997ds/131Mi)
% 7.85/1.90  % (4121128)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3438083908:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2997 on theBenchmark for (2997ds/159Mi)
% 7.85/1.90  % (4121126)Instruction limit reached! 
% 7.85/1.90  % (4121126)------------------------------
% 7.85/1.90  % (4121126)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.85/1.90  % (4121126)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.85/1.90  % (4121126)CaDiCaL version: 2.1.3
% 7.85/1.90  % (4121126)Termination reason: Instruction limit
% 7.85/1.90  % (4121126)Termination phase: NewCNF
% 7.85/1.90  % (4121126)Time elapsed: 0.049 s
% 7.85/1.90  % (4121126)Peak memory usage: 32 MB
% 7.85/1.90  % (4121126)Instructions burned: 117 (million)
% 7.85/1.90  % (4121136)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1800220511:i=714:nm=2_2996 on theBenchmark for (2996ds/714Mi)
% 7.85/1.90  % (4121125)Instruction limit reached! 
% 7.85/1.90  % (4121125)------------------------------
% 7.85/1.90  % (4121125)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.85/1.90  % (4121125)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.85/1.90  % (4121125)CaDiCaL version: 2.1.3
% 7.85/1.90  % (4121125)Termination reason: Instruction limit
% 7.85/1.90  % (4121125)Termination phase: Preprocessing 3
% 7.85/1.90  % (4121125)Time elapsed: 0.066 s
% 7.85/1.90  % (4121125)Peak memory usage: 29 MB
% 7.85/1.90  % (4121125)Instructions burned: 103 (million)
% 7.85/1.90  % (4121127)Instruction limit reached! 
% 7.85/1.90  % (4121127)------------------------------
% 7.85/1.90  % (4121127)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.85/1.90  % (4121127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.85/1.90  % (4121127)CaDiCaL version: 2.1.3
% 7.85/1.90  % (4121127)Termination reason: Instruction limit
% 7.85/1.90  % (4121127)Termination phase: Clausification
% 7.85/1.90  % (4121127)Time elapsed: 0.080 s
% 7.85/1.90  % (4121127)Peak memory usage: 31 MB
% 7.85/1.90  % (4121127)Instructions burned: 132 (million)
% 7.85/1.90  % (4121138)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1243345691:i=131:bd=preordered:fsd=on_2996 on theBenchmark for (2996ds/131Mi)
% 7.85/1.90  % (4121128)Instruction limit reached! 
% 7.85/1.90  % (4121128)------------------------------
% 7.85/1.90  % (4121128)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.85/1.90  % (4121128)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.85/1.90  % (4121128)CaDiCaL version: 2.1.3
% 7.85/1.90  % (4121128)Termination reason: Instruction limit
% 7.85/1.90  % (4121128)Termination phase: Property scanning
% 7.85/1.90  % (4121128)Time elapsed: 0.094 s
% 7.85/1.90  % (4121128)Peak memory usage: 31 MB
% 7.85/1.90  % (4121128)Instructions burned: 160 (million)
% 7.85/1.90  % (4121139)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=962692452:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2996 on theBenchmark for (2996ds/684Mi)
% 7.85/1.90  % (4121141)ott-21_1_sil=16000:fs=off:random_seed=4269660773:i=180:av=off:fsr=off_2995 on theBenchmark for (2995ds/180Mi)
% 7.85/1.90  % (4121138)Instruction limit reached! 
% 7.85/1.90  % (4121138)------------------------------
% 7.85/1.90  % (4121138)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.85/1.90  % (4121138)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.75/2.20  % (4121138)CaDiCaL version: 2.1.3
% 11.75/2.20  % (4121138)Termination reason: Instruction limit
% 11.75/2.20  % (4121138)Termination phase: Clausification
% 11.75/2.20  % (4121138)Time elapsed: 0.076 s
% 11.75/2.20  % (4121138)Peak memory usage: 31 MB
% 11.75/2.20  % (4121138)Instructions burned: 133 (million)
% 11.75/2.20  % (4121144)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3108606888:i=477:bd=all_2995 on theBenchmark for (2995ds/477Mi)
% 11.75/2.20  % (4121141)Instruction limit reached! 
% 11.75/2.20  % (4121141)------------------------------
% 11.75/2.20  % (4121141)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.75/2.20  % (4121141)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.75/2.20  % (4121141)CaDiCaL version: 2.1.3
% 11.75/2.20  % (4121141)Termination reason: Instruction limit
% 11.75/2.20  % (4121141)Termination phase: Property scanning
% 11.75/2.20  % (4121141)Time elapsed: 0.103 s
% 11.75/2.20  % (4121141)Peak memory usage: 31 MB
% 11.75/2.20  % (4121141)Instructions burned: 180 (million)
% 11.75/2.20  % (4121146)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3305497760:fmbsr=1.3:i=865:ins=25_2994 on theBenchmark for (2994ds/865Mi)
% 11.75/2.20  % (4121136)Instruction limit reached! 
% 11.75/2.20  % (4121136)------------------------------
% 11.75/2.20  % (4121136)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.75/2.20  % (4121136)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.75/2.20  % (4121136)CaDiCaL version: 2.1.3
% 11.75/2.20  % (4121136)Termination reason: Instruction limit
% 11.75/2.20  % (4121136)Termination phase: Finite model building preprocessing
% 11.75/2.20  % (4121136)Time elapsed: 0.197 s
% 11.75/2.20  % (4121136)Peak memory usage: 42 MB
% 11.75/2.20  % (4121136)Instructions burned: 715 (million)
% 11.75/2.20  % (4121148)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1093510592:i=1179_2994 on theBenchmark for (2994ds/1179Mi)
% 11.75/2.20  % (4121144)Instruction limit reached! 
% 11.75/2.20  % (4121144)------------------------------
% 11.75/2.20  % (4121144)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.75/2.20  % (4121144)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.75/2.20  % (4121144)CaDiCaL version: 2.1.3
% 11.75/2.20  % (4121144)Termination reason: Instruction limit
% 11.75/2.20  % (4121144)Termination phase: Saturation
% 11.75/2.20  % (4121144)Time elapsed: 0.239 s
% 11.75/2.20  % (4121144)Peak memory usage: 35 MB
% 11.75/2.20  % (4121144)Instructions burned: 478 (million)
% 11.75/2.20  % (4121139)Instruction limit reached! 
% 11.75/2.20  % (4121139)------------------------------
% 11.75/2.20  % (4121139)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.75/2.20  % (4121139)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.75/2.20  % (4121139)CaDiCaL version: 2.1.3
% 11.75/2.20  % (4121139)Termination reason: Instruction limit
% 11.75/2.20  % (4121139)Termination phase: Saturation
% 11.75/2.20  % (4121139)Time elapsed: 0.342 s
% 11.75/2.20  % (4121139)Peak memory usage: 38 MB
% 11.75/2.20  % (4121139)Instructions burned: 684 (million)
% 11.75/2.20  % (4121150)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3535563551:i=889:ins=1_2992 on theBenchmark for (2992ds/889Mi)
% 11.75/2.20  % (4121151)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=3935972586:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2992 on theBenchmark for (2992ds/692Mi)
% 11.75/2.20  % (4121148)Instruction limit reached! 
% 11.75/2.20  % (4121148)------------------------------
% 11.75/2.20  % (4121148)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.75/2.20  % (4121148)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.75/2.20  % (4121148)CaDiCaL version: 2.1.3
% 11.75/2.20  % (4121148)Termination reason: Instruction limit
% 11.75/2.20  % (4121148)Termination phase: Saturation
% 11.75/2.20  % (4121148)Time elapsed: 0.330 s
% 11.75/2.20  % (4121148)Peak memory usage: 44 MB
% 11.75/2.20  % (4121148)Instructions burned: 1181 (million)
% 11.75/2.20  % (4121154)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=4271236575:i=879:kws=inv_precedence:fsr=off_2990 on theBenchmark for (2990ds/879Mi)
% 11.75/2.20  % (4121146)Instruction limit reached! 
% 11.75/2.20  % (4121146)------------------------------
% 11.75/2.20  % (4121146)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.75/2.20  % (4121146)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.75/2.20  % (4121146)CaDiCaL version: 2.1.3
% 11.75/2.20  % (4121146)Termination reason: Instruction limit
% 11.75/2.20  % (4121146)Termination phase: Finite model building preprocessing
% 11.75/2.20  % (4121146)Time elapsed: 0.420 s
% 11.75/2.20  % (4121146)Peak memory usage: 46 MB
% 11.75/2.20  % (4121146)Instructions burned: 867 (million)
% 11.75/2.20  % (4121156)fmb+10_1_sil=64000:random_seed=568284063:i=22061:nm=2:gsp=on_2990 on theBenchmark for (2990ds/22061Mi)
% 11.75/2.20  % (4121151)Instruction limit reached! 
% 11.75/2.20  % (4121151)------------------------------
% 11.75/2.20  % (4121151)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.75/2.20  % (4121151)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.75/2.20  % (4121151)CaDiCaL version: 2.1.3
% 11.75/2.20  % (4121151)Termination reason: Instruction limit
% 11.75/2.20  % (4121151)Termination phase: Saturation
% 11.75/2.20  % (4121151)Time elapsed: 0.353 s
% 11.75/2.20  % (4121151)Peak memory usage: 43 MB
% 11.75/2.20  % (4121151)Instructions burned: 692 (million)
% 11.75/2.20  % (4121158)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=4221488011:i=9515:nm=5_2988 on theBenchmark for (2988ds/9515Mi)
% 11.75/2.20  % (4121154)Instruction limit reached! 
% 11.75/2.20  % (4121154)------------------------------
% 11.75/2.20  % (4121154)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.75/2.20  % (4121154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.75/2.20  % (4121154)CaDiCaL version: 2.1.3
% 11.75/2.20  % (4121154)Termination reason: Instruction limit
% 11.75/2.20  % (4121154)Termination phase: Saturation
% 11.75/2.20  % (4121154)Time elapsed: 0.238 s
% 11.75/2.20  % (4121154)Peak memory usage: 44 MB
% 11.75/2.20  % (4121154)Instructions burned: 881 (million)
% 11.75/2.20  % (4121160)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3852460597:fmbsr=1.7:i=920_2988 on theBenchmark for (2988ds/920Mi)
% 11.75/2.20  % (4121150)Instruction limit reached! 
% 11.75/2.20  % (4121150)------------------------------
% 11.75/2.20  % (4121150)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.75/2.20  % (4121150)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.75/2.20  % (4121150)CaDiCaL version: 2.1.3
% 11.75/2.20  % (4121150)Termination reason: Instruction limit
% 11.75/2.20  % (4121150)Termination phase: Finite model building preprocessing
% 11.75/2.20  % (4121150)Time elapsed: 0.431 s
% 11.75/2.20  % (4121150)Peak memory usage: 47 MB
% 11.75/2.20  % (4121150)Instructions burned: 889 (million)
% 11.75/2.20  % Detected minimum model sizes of [51]
% 11.75/2.20  % Detected maximum model sizes of [max]
% 11.75/2.20  % (4121122)Cannot represent all propositional literals internally
% 11.75/2.20  % (4121122)Refutation not found, incomplete strategy
% 11.75/2.20  % (4121122)------------------------------
% 11.75/2.20  % (4121122)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.75/2.20  % (4121122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.75/2.20  % (4121122)CaDiCaL version: 2.1.3
% 11.75/2.20  % (4121122)Termination reason: Refutation not found, incomplete strategy
% 11.75/2.20  % (4121122)Time elapsed: 0.900 s
% 11.75/2.20  % (4121122)Peak memory usage: 61 MB
% 11.75/2.20  % (4121122)Instructions burned: 1881 (million)
% 11.75/2.20  % (4121162)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2594107802:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 11.75/2.20  % (4121122)------------------------------
% 11.75/2.20  % (4121122)------------------------------
% 11.75/2.20  % (4121164)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1252252849:i=1472:ins=7:fdi=8:gsp=on_2987 on theBenchmark for (2987ds/1472Mi)
% 11.75/2.20  % (4121160)Instruction limit reached! 
% 11.75/2.20  % (4121160)------------------------------
% 11.75/2.20  % (4121160)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.75/2.20  % (4121160)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.75/2.20  % (4121160)CaDiCaL version: 2.1.3
% 11.75/2.20  % (4121160)Termination reason: Instruction limit
% 11.75/2.20  % (4121160)Termination phase: Finite model building preprocessing
% 11.75/2.20  % (4121160)Time elapsed: 0.275 s
% 11.75/2.20  % (4121160)Peak memory usage: 47 MB
% 11.75/2.20  % (4121160)Instructions burned: 922 (million)
% 11.75/2.20  % (4121166)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=401350428:i=6324_2985 on theBenchmark for (2985ds/6324Mi)
% 11.75/2.20  % Detected minimum model sizes of [51]
% 11.75/2.20  % Detected maximum model sizes of [max]
% 11.75/2.20  % (4121156)Cannot represent all propositional literals internally
% 11.75/2.20  % (4121156)Refutation not found, incomplete strategy
% 11.75/2.20  % (4121156)------------------------------
% 11.75/2.20  % (4121156)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.75/2.20  % (4121156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.75/2.20  % (4121156)CaDiCaL version: 2.1.3
% 11.75/2.20  % (4121156)Termination reason: Refutation not found, incomplete strategy
% 11.75/2.20  % (4121156)Time elapsed: 0.666 s
% 11.75/2.20  % (4121156)Peak memory usage: 51 MB
% 11.75/2.20  % (4121156)Instructions burned: 1452 (million)
% 11.75/2.20  % (4121156)------------------------------
% 11.75/2.20  % (4121156)------------------------------
% 11.75/2.20  % (4121168)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3444538960:fmbsr=2.30978:i=2174_2983 on theBenchmark for (2983ds/2174Mi)
% 11.75/2.20  % Detected minimum model sizes of [51]
% 11.75/2.20  % Detected maximum model sizes of [max]
% 11.75/2.20  % (4121158)Cannot represent all propositional literals internally
% 11.75/2.20  % (4121158)Refutation not found, incomplete strategy
% 11.75/2.20  % (4121158)------------------------------
% 11.75/2.20  % (4121158)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.75/2.20  % (4121158)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.75/2.20  % (4121158)CaDiCaL version: 2.1.3
% 11.75/2.20  % (4121158)Termination reason: Refutation not found, incomplete strategy
% 11.75/2.20  % (4121158)Time elapsed: 0.693 s
% 11.75/2.20  % (4121158)Peak memory usage: 52 MB
% 11.75/2.20  % (4121158)Instructions burned: 1527 (million)
% 11.75/2.20  % (4121158)------------------------------
% 11.75/2.20  % (4121158)------------------------------
% 11.75/2.20  % (4121170)ott-2_1_sil=16000:newcnf=on:random_seed=3576837256:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2981 on theBenchmark for (2981ds/869Mi)
% 11.75/2.20  % (4121123) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4121116-4121123"...
% 11.75/2.20  % (4121123)...printing done.
% 11.75/2.20  % Detected minimum model sizes of [51]
% 11.75/2.20  % Detected maximum model sizes of [max]
% 11.75/2.20  % (4121166)Cannot represent all propositional literals internally
% 11.75/2.20  % (4121166)Refutation not found, incomplete strategy
% 11.75/2.20  % (4121166)------------------------------
% 11.75/2.20  % (4121166)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.75/2.20  % (4121166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.75/2.20  % (4121166)CaDiCaL version: 2.1.3
% 11.75/2.20  % (4121166)Termination reason: Refutation not found, incomplete strategy
% 11.75/2.20  % (4121166)Time elapsed: 0.473 s
% 11.75/2.20  % (4121166)Peak memory usage: 58 MB
% 11.75/2.20  % (4121166)Instructions burned: 1850 (million)
% 11.75/2.20  % (4121123)Refutation found. Thanks to Tanya!
% 11.75/2.20  % SZS status Theorem for theBenchmark
% 11.75/2.20  % SZS output start Proof for theBenchmark
% See solution above
% 12.27/2.21  % (4121123)------------------------------
% 12.27/2.21  % (4121123)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.27/2.21  % (4121123)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.27/2.21  % (4121123)CaDiCaL version: 2.1.3
% 12.27/2.21  % (4121123)Termination reason: Refutation
% 12.27/2.21  % (4121123)Time elapsed: 1.612 s
% 12.27/2.21  % (4121123)Peak memory usage: 69 MB
% 12.27/2.21  % (4121123)Instructions burned: 3104 (million)
% 12.27/2.21  % (4121116)Success in time 1.957 s
% 12.27/2.21  % Vampire exiting
%------------------------------------------------------------------------------