↑ Up

Vampire---5.0.1.THM-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SWV374+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 01:09:03 PM UTC 2026

% Result   : Theorem 3.40s 1.28s
% Output   : Refutation 3.40s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   65 (  14 unt;   4 def)
%            Number of atoms       :  156 (  39 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  140 (  49   ~;  64   |;  14   &)
%                                         (   6 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :   10 (   8 usr;   5 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   5 con; 0-3 aty)
%            Number of variables   :   76 (   2 sgn  73   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2,axiom,
    ! [X0,X1] :
      ( less_than(X0,X1)
      | less_than(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',totality) ).

fof(f4,axiom,
    ! [X0,X1] :
      ( strictly_less_than(X0,X1)
    <=> ( less_than(X0,X1)
        & ~ less_than(X1,X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',stricly_smaller_definition) ).

fof(f28,axiom,
    ! [X0,X1] :
      ( ok(triple(X0,X1,bad))
    <=> $false ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax40) ).

fof(f34,axiom,
    ! [X0,X1] : findmin_cpq_eff(triple(X0,create_slb,X1)) = triple(X0,create_slb,bad),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax46) ).

fof(f35,axiom,
    ! [X0,X1,X2,X3] :
      ( ( X1 != create_slb
        & ~ contains_slb(X1,findmin_pqp_res(X0)) )
     => findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax47) ).

fof(f36,axiom,
    ! [X0,X1,X2,X3] :
      ( ( X1 != create_slb
        & contains_slb(X1,findmin_pqp_res(X0))
        & strictly_less_than(findmin_pqp_res(X0),lookup_slb(X1,findmin_pqp_res(X0))) )
     => findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax48) ).

fof(f42,conjecture,
    ! [X0,X1,X2] :
      ( ok(findmin_cpq_eff(triple(X0,X1,X2)))
     => ( X1 != create_slb
        & contains_slb(X1,findmin_pqp_res(X0))
        & less_than(lookup_slb(X1,findmin_pqp_res(X0)),findmin_pqp_res(X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l10_co) ).

fof(f43,negated_conjecture,
    ~ ! [X0,X1,X2] :
        ( ok(findmin_cpq_eff(triple(X0,X1,X2)))
       => ( X1 != create_slb
          & contains_slb(X1,findmin_pqp_res(X0))
          & less_than(lookup_slb(X1,findmin_pqp_res(X0)),findmin_pqp_res(X0)) ) ),
    inference(negated_conjecture,[status(cth)],[f42]) ).

fof(f45,plain,
    ! [X0,X1,X2] :
      ( ( X1 != create_slb
        & contains_slb(X1,findmin_pqp_res(X0))
        & strictly_less_than(findmin_pqp_res(X0),lookup_slb(X1,findmin_pqp_res(X0))) )
     => findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad) ),
    inference(rectify,[],[f36]) ).

fof(f46,plain,
    ! [X0,X1] : ~ ok(triple(X0,X1,bad)),
    inference(true_and_false_elimination,[],[f28]) ).

fof(f47,plain,
    ! [X0,X1] : ~ ok(triple(X0,X1,bad)),
    inference(flattening,[],[f46]) ).

fof(f48,plain,
    ! [X0,X1,X2] :
      ( ( X1 != create_slb
        & ~ contains_slb(X1,findmin_pqp_res(X0)) )
     => findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad) ),
    inference(rectify,[],[f35]) ).

fof(f52,plain,
    ! [X0,X1] :
      ( ( less_than(X0,X1)
        & ~ less_than(X1,X0) )
     => strictly_less_than(X0,X1) ),
    inference(unused_predicate_definition_removal,[],[f4]) ).

fof(f53,plain,
    ? [X0,X1,X2] :
      ( ( create_slb = X1
        | ~ contains_slb(X1,findmin_pqp_res(X0))
        | ~ less_than(lookup_slb(X1,findmin_pqp_res(X0)),findmin_pqp_res(X0)) )
      & ok(findmin_cpq_eff(triple(X0,X1,X2))) ),
    inference(ennf_transformation,[],[f43]) ).

fof(f58,plain,
    ! [X0,X1,X2] :
      ( findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad)
      | create_slb = X1
      | ~ contains_slb(X1,findmin_pqp_res(X0))
      | ~ strictly_less_than(findmin_pqp_res(X0),lookup_slb(X1,findmin_pqp_res(X0))) ),
    inference(ennf_transformation,[],[f45]) ).

fof(f59,plain,
    ! [X0,X1,X2] :
      ( findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad)
      | create_slb = X1
      | ~ contains_slb(X1,findmin_pqp_res(X0))
      | ~ strictly_less_than(findmin_pqp_res(X0),lookup_slb(X1,findmin_pqp_res(X0))) ),
    inference(flattening,[],[f58]) ).

fof(f67,plain,
    ! [X0,X1,X2] :
      ( findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad)
      | create_slb = X1
      | contains_slb(X1,findmin_pqp_res(X0)) ),
    inference(ennf_transformation,[],[f48]) ).

fof(f68,plain,
    ! [X0,X1,X2] :
      ( findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad)
      | create_slb = X1
      | contains_slb(X1,findmin_pqp_res(X0)) ),
    inference(flattening,[],[f67]) ).

fof(f74,plain,
    ! [X0,X1] :
      ( strictly_less_than(X0,X1)
      | ~ less_than(X0,X1)
      | less_than(X1,X0) ),
    inference(ennf_transformation,[],[f52]) ).

fof(f75,plain,
    ! [X0,X1] :
      ( strictly_less_than(X0,X1)
      | ~ less_than(X0,X1)
      | less_than(X1,X0) ),
    inference(flattening,[],[f74]) ).

fof(f83,plain,
    ( ( create_slb = sK1
      | ~ contains_slb(sK1,findmin_pqp_res(sK0))
      | ~ less_than(lookup_slb(sK1,findmin_pqp_res(sK0)),findmin_pqp_res(sK0)) )
    & ok(findmin_cpq_eff(triple(sK0,sK1,sK2))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f53]) ).

fof(f87,plain,
    ok(findmin_cpq_eff(triple(sK0,sK1,sK2))),
    inference(cnf_transformation,[],[f83]) ).

fof(f88,plain,
    ( create_slb = sK1
    | ~ contains_slb(sK1,findmin_pqp_res(sK0))
    | ~ less_than(lookup_slb(sK1,findmin_pqp_res(sK0)),findmin_pqp_res(sK0)) ),
    inference(cnf_transformation,[],[f83]) ).

fof(f90,plain,
    ! [X0,X1] :
      ( less_than(X0,X1)
      | less_than(X1,X0) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f97,plain,
    ! [X2,X0,X1] :
      ( findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad)
      | create_slb = X1
      | ~ contains_slb(X1,findmin_pqp_res(X0))
      | ~ strictly_less_than(findmin_pqp_res(X0),lookup_slb(X1,findmin_pqp_res(X0))) ),
    inference(cnf_transformation,[],[f59]) ).

fof(f103,plain,
    ! [X0,X1] : ~ ok(triple(X0,X1,bad)),
    inference(cnf_transformation,[],[f47]) ).

fof(f105,plain,
    ! [X2,X0,X1] :
      ( contains_slb(X1,findmin_pqp_res(X0))
      | create_slb = X1
      | findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad) ),
    inference(cnf_transformation,[],[f68]) ).

fof(f106,plain,
    ! [X0,X1] : findmin_cpq_eff(triple(X0,create_slb,X1)) = triple(X0,create_slb,bad),
    inference(cnf_transformation,[],[f34]) ).

fof(f113,plain,
    ! [X0,X1] :
      ( ~ less_than(X0,X1)
      | strictly_less_than(X0,X1)
      | less_than(X1,X0) ),
    inference(cnf_transformation,[],[f75]) ).

fof(f133,plain,
    ! [X2,X0,X1] :
      ( ~ strictly_less_than(findmin_pqp_res(X0),lookup_slb(X1,findmin_pqp_res(X0)))
      | create_slb = X1
      | findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad) ),
    inference(forward_subsumption_resolution,[],[f97,f105]) ).

fof(f135,definition,
    ( spl3_1
  <=> less_than(lookup_slb(sK1,findmin_pqp_res(sK0)),findmin_pqp_res(sK0)) ),
    introduced(definition,[new_symbols(definition,[spl3_1])],[avatar_definition]) ).

fof(f137,plain,
    ( ~ less_than(lookup_slb(sK1,findmin_pqp_res(sK0)),findmin_pqp_res(sK0))
    | spl3_1 ),
    inference(avatar_component_clause,[],[f135]) ).

fof(f139,definition,
    ( spl3_2
  <=> contains_slb(sK1,findmin_pqp_res(sK0)) ),
    introduced(definition,[new_symbols(definition,[spl3_2])],[avatar_definition]) ).

fof(f141,plain,
    ( ~ contains_slb(sK1,findmin_pqp_res(sK0))
    | spl3_2 ),
    inference(avatar_component_clause,[],[f139]) ).

fof(f143,definition,
    ( spl3_3
  <=> create_slb = sK1 ),
    introduced(definition,[new_symbols(definition,[spl3_3])],[avatar_definition]) ).

fof(f144,plain,
    ( create_slb != sK1
    | spl3_3 ),
    inference(avatar_component_clause,[],[f143]) ).

fof(f145,plain,
    ( create_slb = sK1
    | ~ spl3_3 ),
    inference(avatar_component_clause,[],[f143]) ).

fof(f146,plain,
    ( ~ spl3_1
    | ~ spl3_2
    | spl3_3 ),
    inference(avatar_split_clause,[],[f88,f143,f139,f135]) ).

fof(f148,plain,
    ( less_than(findmin_pqp_res(sK0),lookup_slb(sK1,findmin_pqp_res(sK0)))
    | spl3_1 ),
    inference(resolution,[],[f90,f137]) ).

fof(f165,plain,
    ( strictly_less_than(findmin_pqp_res(sK0),lookup_slb(sK1,findmin_pqp_res(sK0)))
    | less_than(lookup_slb(sK1,findmin_pqp_res(sK0)),findmin_pqp_res(sK0))
    | spl3_1 ),
    inference(resolution,[],[f113,f148]) ).

fof(f169,plain,
    ( strictly_less_than(findmin_pqp_res(sK0),lookup_slb(sK1,findmin_pqp_res(sK0)))
    | spl3_1 ),
    inference(forward_subsumption_resolution,[],[f165,f137]) ).

fof(f484,plain,
    ( ! [X0] :
        ( create_slb = sK1
        | findmin_cpq_eff(triple(sK0,sK1,X0)) = triple(sK0,update_slb(sK1,findmin_pqp_res(sK0)),bad) )
    | spl3_2 ),
    inference(resolution,[],[f141,f105]) ).

fof(f487,definition,
    ( spl3_7
  <=> ! [X0] : findmin_cpq_eff(triple(sK0,sK1,X0)) = triple(sK0,update_slb(sK1,findmin_pqp_res(sK0)),bad) ),
    introduced(definition,[new_symbols(definition,[spl3_7])],[avatar_definition]) ).

fof(f488,plain,
    ( ! [X0] : findmin_cpq_eff(triple(sK0,sK1,X0)) = triple(sK0,update_slb(sK1,findmin_pqp_res(sK0)),bad)
    | ~ spl3_7 ),
    inference(avatar_component_clause,[],[f487]) ).

fof(f489,plain,
    ( spl3_7
    | spl3_3
    | spl3_2 ),
    inference(avatar_split_clause,[],[f484,f139,f143,f487]) ).

fof(f523,plain,
    ( ok(findmin_cpq_eff(triple(sK0,create_slb,sK2)))
    | ~ spl3_3 ),
    inference(superposition,[],[f87,f145]) ).

fof(f533,plain,
    ( ok(triple(sK0,create_slb,bad))
    | ~ spl3_3 ),
    inference(forward_demodulation,[],[f523,f106]) ).

fof(f534,plain,
    ( $false
    | ~ spl3_3 ),
    inference(forward_subsumption_resolution,[],[f533,f103]) ).

fof(f535,plain,
    ~ spl3_3,
    inference(avatar_contradiction_clause,[],[f534]) ).

fof(f539,plain,
    ( ! [X0] :
        ( create_slb = sK1
        | findmin_cpq_eff(triple(sK0,sK1,X0)) = triple(sK0,update_slb(sK1,findmin_pqp_res(sK0)),bad) )
    | spl3_1 ),
    inference(resolution,[],[f133,f169]) ).

fof(f557,plain,
    ( ! [X0] : ~ ok(findmin_cpq_eff(triple(sK0,sK1,X0)))
    | ~ spl3_7 ),
    inference(superposition,[],[f103,f488]) ).

fof(f568,plain,
    ( ! [X0] : findmin_cpq_eff(triple(sK0,sK1,X0)) = triple(sK0,update_slb(sK1,findmin_pqp_res(sK0)),bad)
    | spl3_1
    | spl3_3 ),
    inference(forward_subsumption_resolution,[],[f539,f144]) ).

fof(f570,plain,
    ( spl3_7
    | spl3_1
    | spl3_3 ),
    inference(avatar_split_clause,[],[f568,f143,f135,f487]) ).

fof(f575,plain,
    ( $false
    | ~ spl3_7 ),
    inference(resolution,[],[f557,f87]) ).

fof(f576,plain,
    ~ spl3_7,
    inference(avatar_contradiction_clause,[],[f575]) ).

cnf(s1,plain,
    ( ~ spl3_1
    | ~ spl3_2
    | spl3_3 ),
    inference(sat_conversion,[],[f146]) ).

cnf(s5,plain,
    ( spl3_2
    | spl3_3
    | spl3_7 ),
    inference(sat_conversion,[],[f489]) ).

cnf(s7,plain,
    ~ spl3_3,
    inference(sat_conversion,[],[f535]) ).

cnf(s9,plain,
    ( spl3_1
    | spl3_3
    | spl3_7 ),
    inference(sat_conversion,[],[f570]) ).

cnf(s11,plain,
    ~ spl3_7,
    inference(sat_conversion,[],[f576]) ).

cnf(s12,plain,
    ( spl3_1
    | spl3_3 ),
    inference(rat,[],[s9,s11]) ).

cnf(s13,plain,
    spl3_1,
    inference(rat,[],[s12,s7]) ).

cnf(s14,plain,
    spl3_2,
    inference(rat,[],[s5,s11,s7]) ).

cnf(s15,plain,
    $false,
    inference(rat,[],[s1,s7,s14,s13]) ).

fof(f577,plain,
    $false,
    inference(avatar_sat_refutation,[],[s15]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWV374+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.18  % Computer : n005.cluster.edu
% 0.09/0.18  % Model    : x86_64 x86_64
% 0.09/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18  % Memory   : 8046.5625MB
% 0.09/0.18  % OS       : Linux 6.8.0-71-generic
% 0.09/0.18  % CPULimit : 300
% 0.09/0.18  % WCLimit  : 300
% 0.09/0.18  % DateTime : Mon Sep 28 10:45:47 UTC 2026
% 0.09/0.19  % CPUTime  : 
% 0.09/0.19  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22  Running first-order theorem proving
% 0.09/0.22  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
% 3.06/1.05  % (712333)Detected formulas, will run a generic FOF schedule.
% 3.06/1.05  % (712342)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2881812140:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.06/1.05  % (712342)Instruction limit reached! 
% 3.06/1.05  % (712342)------------------------------
% 3.06/1.05  % (712342)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.06/1.05  % (712342)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.06/1.05  % (712342)CaDiCaL version: 2.1.3
% 3.06/1.05  % (712342)Termination reason: Instruction limit
% 3.06/1.05  % (712342)Termination phase: Saturation
% 3.06/1.05  % (712342)Time elapsed: 0.030 s
% 3.06/1.05  % (712342)Peak memory usage: 88 MB
% 3.06/1.05  % (712342)Instructions burned: 120 (million)
% 3.06/1.05  % (712340)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=1667842362:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.06/1.05  % (712339)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=3011330931:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.06/1.05  % (712338)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=2449915104:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.06/1.05  % (712343)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3768160549:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.06/1.05  % (712341)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3347328252:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.06/1.05  % (712344)dis-21_1_sil=8000:lcm=predicate:random_seed=307111281: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)
% 3.06/1.05  % (712341)Instruction limit reached! 
% 3.06/1.05  % (712341)------------------------------
% 3.06/1.05  % (712341)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.06/1.05  % (712341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.06/1.05  % (712341)CaDiCaL version: 2.1.3
% 3.06/1.05  % (712341)Termination reason: Instruction limit
% 3.06/1.05  % (712341)Termination phase: Saturation
% 3.06/1.05  % (712341)Time elapsed: 0.042 s
% 3.06/1.05  % (712341)Peak memory usage: 88 MB
% 3.06/1.05  % (712341)Instructions burned: 111 (million)
% 3.06/1.05  % (712344)Instruction limit reached! 
% 3.06/1.05  % (712344)------------------------------
% 3.06/1.05  % (712344)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.06/1.05  % (712344)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.06/1.05  % (712344)CaDiCaL version: 2.1.3
% 3.06/1.05  % (712344)Termination reason: Instruction limit
% 3.06/1.05  % (712344)Termination phase: Saturation
% 3.06/1.05  % (712344)Time elapsed: 0.054 s
% 3.06/1.05  % (712344)Peak memory usage: 88 MB
% 3.06/1.05  % (712344)Instructions burned: 130 (million)
% 3.06/1.05  % (712343)Instruction limit reached! 
% 3.06/1.05  % (712343)------------------------------
% 3.06/1.05  % (712343)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.06/1.05  % (712343)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.06/1.05  % (712343)CaDiCaL version: 2.1.3
% 3.06/1.05  % (712343)Termination reason: Instruction limit
% 3.06/1.05  % (712343)Termination phase: Saturation
% 3.06/1.05  % (712343)Time elapsed: 0.062 s
% 3.06/1.05  % (712343)Peak memory usage: 88 MB
% 3.06/1.05  % (712343)Instructions burned: 139 (million)
% 3.06/1.05  % (712347)lrs+10_1_sil=8000:sp=occurrence:random_seed=3438461638:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 3.06/1.05  % (712347)First to succeed.
% 3.06/1.05  % (712347)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-712333"
% 3.06/1.05  % (712353)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1455628779:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/157Mi)
% 3.06/1.05  % (712354)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1518419925:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 3.06/1.05  % (712355)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=1692555151:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 3.40/1.28  % (712347)Refutation found. Thanks to Tanya!
% 3.40/1.28  % SZS status Theorem for theBenchmark
% 3.40/1.28  % SZS output start Proof for theBenchmark
% See solution above
% 3.40/1.28  % (712347)------------------------------
% 3.40/1.28  % (712347)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.40/1.28  % (712347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.40/1.28  % (712347)CaDiCaL version: 2.1.3
% 3.40/1.28  % (712347)Termination reason: Refutation
% 3.40/1.28  % (712347)Time elapsed: 0.012 s
% 3.40/1.28  % (712347)Peak memory usage: 90 MB
% 3.40/1.28  % (712347)Instructions burned: 34 (million)
% 3.40/1.28  % (712347)------------------------------
% 3.40/1.28  % (712347)------------------------------
% 3.40/1.28  % (712333)Success in time 0.391 s
% 3.40/1.28  % Vampire exiting
%------------------------------------------------------------------------------