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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : NUM310+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n015.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 12:12:08 PM UTC 2026

% Result   : Theorem 3.18s 1.34s
% Output   : Refutation 3.78s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   60 (  23 unt;   1 def)
%            Number of atoms       :  151 (  18 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  176 (  85   ~;  73   |;  12   &)
%                                         (   2 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   2 prp; 0-4 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-1 aty)
%            Number of variables   :  113 (   0 sgn 113   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3,axiom,
    rdn_translate(n2,rdn_pos(rdnn(n2))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn2) ).

fof(f4,axiom,
    rdn_translate(n3,rdn_pos(rdnn(n3))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn3) ).

fof(f7,axiom,
    rdn_translate(n6,rdn_pos(rdnn(n6))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn6) ).

fof(f268,axiom,
    rdn_positive_less(rdnn(n2),rdnn(n3)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_positive_less23) ).

fof(f281,axiom,
    ! [X0,X1,X2,X3] :
      ( ( rdn_translate(X0,rdn_pos(X2))
        & rdn_translate(X1,rdn_pos(X3))
        & rdn_positive_less(X2,X3) )
     => less(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_entry_point_pos_pos) ).

fof(f284,axiom,
    ! [X0,X1] :
      ( less(X0,X1)
    <=> ( ~ less(X1,X0)
        & X1 != X0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_property) ).

fof(f287,axiom,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ( rdn_translate(X0,rdn_pos(X3))
        & rdn_translate(X1,rdn_pos(X4))
        & rdn_add_with_carry(rdnn(n0),X3,X4,X5)
        & rdn_translate(X2,rdn_pos(X5)) )
     => sum(X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_entry_point_pos_pos) ).

fof(f294,axiom,
    ! [X0,X1,X2,X3] :
      ( ( sum(X0,X2,X3)
        & sum(X1,X2,X3) )
     => X0 = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_LHS) ).

fof(f297,axiom,
    ! [X0,X1,X2,X3,X4] :
      ( ( rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X4),rdnn(n0))
        & rdn_digit_add(rdnn(X4),rdnn(X0),rdnn(X3),rdnn(n0)) )
     => rdn_add_with_carry(rdnn(X0),rdnn(X1),rdnn(X2),rdnn(X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',add_digit_digit_digit) ).

fof(f335,axiom,
    rdn_digit_add(rdnn(n3),rdnn(n3),rdnn(n6),rdnn(n0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n3_n3_n6_n0) ).

fof(f362,axiom,
    rdn_digit_add(rdnn(n6),rdnn(n0),rdnn(n6),rdnn(n0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn_digit_add_n6_n0_n6_n0) ).

fof(f402,conjecture,
    ~ sum(n2,n3,n6),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_n2_n3_not_n6) ).

fof(f403,negated_conjecture,
    ~ ~ sum(n2,n3,n6),
    inference(negated_conjecture,[status(cth)],[f402]) ).

fof(f404,plain,
    sum(n2,n3,n6),
    inference(flattening,[],[f403]) ).

fof(f414,plain,
    ! [X0,X1,X2,X3] :
      ( less(X0,X1)
      | ~ rdn_translate(X0,rdn_pos(X2))
      | ~ rdn_translate(X1,rdn_pos(X3))
      | ~ rdn_positive_less(X2,X3) ),
    inference(ennf_transformation,[],[f281]) ).

fof(f415,plain,
    ! [X0,X1,X2,X3] :
      ( less(X0,X1)
      | ~ rdn_translate(X0,rdn_pos(X2))
      | ~ rdn_translate(X1,rdn_pos(X3))
      | ~ rdn_positive_less(X2,X3) ),
    inference(flattening,[],[f414]) ).

fof(f424,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( sum(X0,X1,X2)
      | ~ rdn_translate(X0,rdn_pos(X3))
      | ~ rdn_translate(X1,rdn_pos(X4))
      | ~ rdn_add_with_carry(rdnn(n0),X3,X4,X5)
      | ~ rdn_translate(X2,rdn_pos(X5)) ),
    inference(ennf_transformation,[],[f287]) ).

fof(f425,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( sum(X0,X1,X2)
      | ~ rdn_translate(X0,rdn_pos(X3))
      | ~ rdn_translate(X1,rdn_pos(X4))
      | ~ rdn_add_with_carry(rdnn(n0),X3,X4,X5)
      | ~ rdn_translate(X2,rdn_pos(X5)) ),
    inference(flattening,[],[f424]) ).

fof(f438,plain,
    ! [X0,X1,X2,X3] :
      ( X0 = X1
      | ~ sum(X0,X2,X3)
      | ~ sum(X1,X2,X3) ),
    inference(ennf_transformation,[],[f294]) ).

fof(f439,plain,
    ! [X0,X1,X2,X3] :
      ( X0 = X1
      | ~ sum(X0,X2,X3)
      | ~ sum(X1,X2,X3) ),
    inference(flattening,[],[f438]) ).

fof(f442,plain,
    ! [X0,X1,X2,X3,X4] :
      ( rdn_add_with_carry(rdnn(X0),rdnn(X1),rdnn(X2),rdnn(X3))
      | ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X4),rdnn(n0))
      | ~ rdn_digit_add(rdnn(X4),rdnn(X0),rdnn(X3),rdnn(n0)) ),
    inference(ennf_transformation,[],[f297]) ).

fof(f443,plain,
    ! [X0,X1,X2,X3,X4] :
      ( rdn_add_with_carry(rdnn(X0),rdnn(X1),rdnn(X2),rdnn(X3))
      | ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X4),rdnn(n0))
      | ~ rdn_digit_add(rdnn(X4),rdnn(X0),rdnn(X3),rdnn(n0)) ),
    inference(flattening,[],[f442]) ).

fof(f451,plain,
    ! [X0,X1] :
      ( ( less(X0,X1)
        | less(X1,X0)
        | X0 = X1 )
      & ( ( ~ less(X1,X0)
          & X1 != X0 )
        | ~ less(X0,X1) ) ),
    inference(nnf_transformation,[],[f284]) ).

fof(f452,plain,
    ! [X0,X1] :
      ( ( less(X0,X1)
        | less(X1,X0)
        | X0 = X1 )
      & ( ( ~ less(X1,X0)
          & X1 != X0 )
        | ~ less(X0,X1) ) ),
    inference(flattening,[],[f451]) ).

fof(f456,plain,
    rdn_translate(n2,rdn_pos(rdnn(n2))),
    inference(cnf_transformation,[],[f3]) ).

fof(f457,plain,
    rdn_translate(n3,rdn_pos(rdnn(n3))),
    inference(cnf_transformation,[],[f4]) ).

fof(f460,plain,
    rdn_translate(n6,rdn_pos(rdnn(n6))),
    inference(cnf_transformation,[],[f7]) ).

fof(f721,plain,
    rdn_positive_less(rdnn(n2),rdnn(n3)),
    inference(cnf_transformation,[],[f268]) ).

fof(f734,plain,
    ! [X2,X3,X0,X1] :
      ( less(X0,X1)
      | ~ rdn_translate(X0,rdn_pos(X2))
      | ~ rdn_translate(X1,rdn_pos(X3))
      | ~ rdn_positive_less(X2,X3) ),
    inference(cnf_transformation,[],[f415]) ).

fof(f737,plain,
    ! [X0,X1] :
      ( X0 != X1
      | ~ less(X0,X1) ),
    inference(cnf_transformation,[],[f452]) ).

fof(f742,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ rdn_add_with_carry(rdnn(n0),X3,X4,X5)
      | ~ rdn_translate(X0,rdn_pos(X3))
      | ~ rdn_translate(X1,rdn_pos(X4))
      | sum(X0,X1,X2)
      | ~ rdn_translate(X2,rdn_pos(X5)) ),
    inference(cnf_transformation,[],[f425]) ).

fof(f749,plain,
    ! [X2,X3,X0,X1] :
      ( ~ sum(X0,X2,X3)
      | X0 = X1
      | ~ sum(X1,X2,X3) ),
    inference(cnf_transformation,[],[f439]) ).

fof(f753,plain,
    ! [X2,X3,X0,X1,X4] :
      ( rdn_add_with_carry(rdnn(X0),rdnn(X1),rdnn(X2),rdnn(X3))
      | ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X4),rdnn(n0))
      | ~ rdn_digit_add(rdnn(X4),rdnn(X0),rdnn(X3),rdnn(n0)) ),
    inference(cnf_transformation,[],[f443]) ).

fof(f791,plain,
    rdn_digit_add(rdnn(n3),rdnn(n3),rdnn(n6),rdnn(n0)),
    inference(cnf_transformation,[],[f335]) ).

fof(f818,plain,
    rdn_digit_add(rdnn(n6),rdnn(n0),rdnn(n6),rdnn(n0)),
    inference(cnf_transformation,[],[f362]) ).

fof(f858,plain,
    sum(n2,n3,n6),
    inference(cnf_transformation,[],[f404]) ).

fof(f859,plain,
    ! [X1] : ~ less(X1,X1),
    inference(equality_resolution,[],[f737]) ).

fof(f865,plain,
    ! [X0] :
      ( ~ sum(X0,n3,n6)
      | n2 = X0 ),
    inference(resolution,[],[f749,f858]) ).

fof(f930,plain,
    ! [X2,X0,X1] :
      ( ~ rdn_positive_less(X1,X2)
      | ~ rdn_translate(X0,rdn_pos(X2))
      | ~ rdn_translate(X0,rdn_pos(X1)) ),
    inference(resolution,[],[f734,f859]) ).

fof(f948,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( sum(X4,X5,X6)
      | ~ rdn_digit_add(rdnn(X2),rdnn(n0),rdnn(X3),rdnn(n0))
      | ~ rdn_translate(X4,rdn_pos(rdnn(X0)))
      | ~ rdn_translate(X5,rdn_pos(rdnn(X1)))
      | ~ rdn_digit_add(rdnn(X0),rdnn(X1),rdnn(X2),rdnn(n0))
      | ~ rdn_translate(X6,rdn_pos(rdnn(X3))) ),
    inference(resolution,[],[f753,f742]) ).

fof(f967,plain,
    ! [X0] :
      ( ~ rdn_translate(X0,rdn_pos(rdnn(n3)))
      | ~ rdn_translate(X0,rdn_pos(rdnn(n2))) ),
    inference(resolution,[],[f930,f721]) ).

fof(f1093,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ rdn_translate(n6,rdn_pos(rdnn(X1)))
      | ~ rdn_translate(X2,rdn_pos(rdnn(X3)))
      | ~ rdn_translate(n3,rdn_pos(rdnn(X4)))
      | ~ rdn_digit_add(rdnn(X3),rdnn(X4),rdnn(X0),rdnn(n0))
      | ~ rdn_digit_add(rdnn(X0),rdnn(n0),rdnn(X1),rdnn(n0))
      | n2 = X2 ),
    inference(resolution,[],[f948,f865]) ).

fof(f1135,definition,
    ( spl0_8
  <=> n2 = n3 ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f1136,plain,
    ( n2 != n3
    | spl0_8 ),
    inference(avatar_component_clause,[],[f1135]) ).

fof(f1137,plain,
    ( n2 = n3
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f1135]) ).

fof(f1347,plain,
    ( ! [X0] :
        ( ~ rdn_translate(X0,rdn_pos(rdnn(n2)))
        | ~ rdn_translate(X0,rdn_pos(rdnn(n2))) )
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f967,f1137]) ).

fof(f1348,plain,
    ( ! [X0] : ~ rdn_translate(X0,rdn_pos(rdnn(n2)))
    | ~ spl0_8 ),
    inference(duplicate_literal_removal,[],[f1347]) ).

fof(f1349,plain,
    ( $false
    | ~ spl0_8 ),
    inference(resolution,[],[f1348,f456]) ).

fof(f1350,plain,
    ~ spl0_8,
    inference(avatar_contradiction_clause,[],[f1349]) ).

fof(f1352,plain,
    ! [X2,X3,X0,X1] :
      ( ~ rdn_digit_add(rdnn(X3),rdnn(n0),rdnn(n6),rdnn(n0))
      | ~ rdn_translate(n3,rdn_pos(rdnn(X2)))
      | ~ rdn_digit_add(rdnn(X1),rdnn(X2),rdnn(X3),rdnn(n0))
      | ~ rdn_translate(X0,rdn_pos(rdnn(X1)))
      | n2 = X0 ),
    inference(resolution,[],[f1093,f460]) ).

fof(f1746,plain,
    ! [X2,X0,X1] :
      ( ~ rdn_translate(n3,rdn_pos(rdnn(X0)))
      | ~ rdn_digit_add(rdnn(X1),rdnn(X0),rdnn(n6),rdnn(n0))
      | ~ rdn_translate(X2,rdn_pos(rdnn(X1)))
      | n2 = X2 ),
    inference(resolution,[],[f1352,f818]) ).

fof(f1749,plain,
    ! [X0] :
      ( ~ rdn_translate(n3,rdn_pos(rdnn(X0)))
      | ~ rdn_digit_add(rdnn(X0),rdnn(X0),rdnn(n6),rdnn(n0))
      | n2 = n3 ),
    inference(factoring,[],[f1746]) ).

fof(f1750,plain,
    ( ! [X0] :
        ( ~ rdn_digit_add(rdnn(X0),rdnn(X0),rdnn(n6),rdnn(n0))
        | ~ rdn_translate(n3,rdn_pos(rdnn(X0))) )
    | spl0_8 ),
    inference(forward_subsumption_resolution,[],[f1749,f1136]) ).

fof(f1754,plain,
    ( ~ rdn_translate(n3,rdn_pos(rdnn(n3)))
    | spl0_8 ),
    inference(resolution,[],[f1750,f791]) ).

fof(f1755,plain,
    ( $false
    | spl0_8 ),
    inference(forward_subsumption_resolution,[],[f1754,f457]) ).

fof(f1756,plain,
    spl0_8,
    inference(avatar_contradiction_clause,[],[f1755]) ).

cnf(s12,plain,
    ~ spl0_8,
    inference(sat_conversion,[],[f1350]) ).

cnf(s23,plain,
    spl0_8,
    inference(sat_conversion,[],[f1756]) ).

cnf(s26,plain,
    $false,
    inference(rat,[],[s12,s23]) ).

fof(f1757,plain,
    $false,
    inference(avatar_sat_refutation,[],[s26]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : NUM310+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.39  % Computer : n015.cluster.edu
% 0.13/0.39  % Model    : x86_64 x86_64
% 0.13/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39  % Memory   : 8046.5625MB
% 0.13/0.39  % OS       : Linux 6.8.0-71-generic
% 0.13/0.39  % CPULimit : 300
% 0.13/0.39  % WCLimit  : 300
% 0.13/0.40  % DateTime : Sun Sep 27 19:33:46 UTC 2026
% 0.13/0.40  % CPUTime  : 
% 0.13/0.40  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.43  Running first-order theorem proving
% 0.13/0.43  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
% 3.18/1.34  % (1966425)Detected formulas, will run a generic FOF schedule.
% 3.18/1.34  % (1966430)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=3689138197:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.18/1.34  % (1966433)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3337364249:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.18/1.34  % (1966436)dis-21_1_sil=8000:lcm=predicate:random_seed=3975917874: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)
% 3.18/1.34  % (1966434)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=473165158:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.18/1.34  % (1966432)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=812123507:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.18/1.34  % (1966431)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=396709197:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.18/1.34  % (1966435)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=820137825:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.18/1.34  % (1966434)Refutation not found, incomplete strategy
% 3.18/1.34  % (1966434)------------------------------
% 3.18/1.34  % (1966434)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.18/1.34  % (1966434)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.18/1.34  % (1966433)Refutation not found, incomplete strategy
% 3.18/1.34  % (1966433)------------------------------
% 3.18/1.34  % (1966433)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.18/1.34  % (1966434)CaDiCaL version: 2.1.3
% 3.18/1.34  % (1966434)Termination reason: Refutation not found, incomplete strategy
% 3.18/1.34  % (1966434)Time elapsed: 0.002 s
% 3.18/1.34  % (1966433)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.18/1.34  % (1966434)Peak memory usage: 87 MB
% 3.18/1.34  % (1966434)Instructions burned: 2 (million)
% 3.18/1.34  % (1966433)CaDiCaL version: 2.1.3
% 3.18/1.34  % (1966433)Termination reason: Refutation not found, incomplete strategy
% 3.18/1.34  % (1966433)Time elapsed: 0.002 s
% 3.18/1.34  % (1966433)Peak memory usage: 88 MB
% 3.18/1.34  % (1966433)Instructions burned: 1 (million)
% 3.18/1.34  % (1966435)First to succeed.
% 3.18/1.34  % (1966436)Instruction limit reached! 
% 3.18/1.34  % (1966436)------------------------------
% 3.18/1.34  % (1966436)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.18/1.34  % (1966436)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.18/1.34  % (1966436)CaDiCaL version: 2.1.3
% 3.18/1.34  % (1966436)Termination reason: Instruction limit
% 3.18/1.34  % (1966436)Termination phase: Saturation
% 3.18/1.34  % (1966436)Time elapsed: 0.055 s
% 3.18/1.34  % (1966436)Peak memory usage: 88 MB
% 3.18/1.34  % (1966436)Instructions burned: 129 (million)
% 3.18/1.34  % (1966435)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1966425"
% 3.18/1.34  % (1966444)lrs+10_1_sil=8000:sp=occurrence:random_seed=1120640882:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.18/1.34  % (1966444)Refutation not found, incomplete strategy
% 3.18/1.34  % (1966444)------------------------------
% 3.18/1.34  % (1966444)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.18/1.34  % (1966444)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.18/1.34  % (1966444)CaDiCaL version: 2.1.3
% 3.18/1.34  % (1966444)Termination reason: Refutation not found, incomplete strategy
% 3.18/1.34  % (1966444)Time elapsed: 0.002 s
% 3.18/1.34  % (1966444)Peak memory usage: 88 MB
% 3.18/1.34  % (1966444)Instructions burned: 1 (million)
% 3.18/1.34  % (1966433)------------------------------
% 3.18/1.34  % (1966433)------------------------------
% 3.18/1.34  % (1966434)------------------------------
% 3.18/1.34  % (1966434)------------------------------
% 3.18/1.34  % (1966435)Refutation found. Thanks to Tanya!
% 3.18/1.34  % SZS status Theorem for theBenchmark
% 3.18/1.34  % SZS output start Proof for theBenchmark
% See solution above
% 3.78/1.43  % (1966435)------------------------------
% 3.78/1.43  % (1966435)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.78/1.43  % (1966435)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.78/1.43  % (1966435)CaDiCaL version: 2.1.3
% 3.78/1.43  % (1966435)Termination reason: Refutation
% 3.78/1.43  % (1966435)Time elapsed: 0.055 s
% 3.78/1.43  % (1966435)Peak memory usage: 90 MB
% 3.78/1.43  % (1966435)Instructions burned: 91 (million)
% 3.78/1.43  % (1966435)------------------------------
% 3.78/1.43  % (1966435)------------------------------
% 3.78/1.43  % (1966425)Success in time 0.467 s
% 3.78/1.43  % Vampire exiting
%------------------------------------------------------------------------------