TSTP Solution File: NUM894_1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM894_1 : TPTP v8.1.2. Released v5.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n020.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun May  5 08:16:15 EDT 2024

% Result   : Theorem 0.58s 0.73s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   14 (   7 unt;   2 typ;   0 def)
%            Number of atoms       :   17 (   1 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   12 (   7   ~;   1   |;   1   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number arithmetic     :   47 (  15 atm;  11 fun;   9 num;  12 var)
%            Number of types       :    1 (   0 usr;   1 ari)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    4 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   2 usr;   3 con; 0-2 aty)
%            Number of variables   :   12 (  10   !;   2   ?;  12   :)

% Comments : 
%------------------------------------------------------------------------------
tff(func_def_4,type,
    sK0: $int ).

tff(func_def_5,type,
    sK1: $int ).

tff(f26,plain,
    $false,
    inference(subsumption_resolution,[],[f25,f19]) ).

tff(f19,plain,
    $less(sK1,$sum(1,sK0)),
    inference(forward_demodulation,[],[f17,f4]) ).

tff(f4,plain,
    ! [X0: $int,X1: $int] : ( $sum(X0,X1) = $sum(X1,X0) ),
    introduced(theory_axiom_135,[]) ).

tff(f17,plain,
    $less(sK1,$sum(sK0,1)),
    inference(cnf_transformation,[],[f16]) ).

tff(f16,plain,
    ? [X0: $int,X1: $int] :
      ( $less(X0,X1)
      & $less(X1,$sum(X0,1)) ),
    inference(ennf_transformation,[],[f3]) ).

tff(f3,plain,
    ~ ! [X0: $int,X1: $int] :
        ( $less(X1,$sum(X0,1))
       => ~ $less(X0,X1) ),
    inference(theory_normalization,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ! [X0: $int,X1: $int] :
        ( $less(X1,$sum(X0,1))
       => $lesseq(X1,X0) ),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ! [X0: $int,X1: $int] :
      ( $less(X1,$sum(X0,1))
     => $lesseq(X1,X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.dbqozijeDr/Vampire---4.8_15838',less_successor) ).

tff(f25,plain,
    ~ $less(sK1,$sum(1,sK0)),
    inference(forward_demodulation,[],[f23,f4]) ).

tff(f23,plain,
    ~ $less(sK1,$sum(sK0,1)),
    inference(unit_resulting_resolution,[],[f18,f15]) ).

tff(f15,plain,
    ! [X0: $int,X1: $int] :
      ( ~ $less(X1,$sum(X0,1))
      | ~ $less(X0,X1) ),
    introduced(theory_axiom_161,[]) ).

tff(f18,plain,
    $less(sK0,sK1),
    inference(cnf_transformation,[],[f16]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : NUM894_1 : TPTP v8.1.2. Released v5.0.0.
% 0.07/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.35  % Computer : n020.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Fri May  3 14:53:08 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a TF0_THM_NEQ_ARI problem
% 0.14/0.35  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.dbqozijeDr/Vampire---4.8_15838
% 0.58/0.73  % (15953)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.58/0.73  % (15947)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.58/0.73  % (15949)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.58/0.73  % (15950)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.58/0.73  % (15951)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.58/0.73  % (15953)First to succeed.
% 0.58/0.73  % (15952)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.58/0.73  % (15948)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.58/0.73  % (15953)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-15946"
% 0.58/0.73  % (15953)Refutation found. Thanks to Tanya!
% 0.58/0.73  % SZS status Theorem for Vampire---4
% 0.58/0.73  % SZS output start Proof for Vampire---4
% See solution above
% 0.58/0.73  % (15953)------------------------------
% 0.58/0.73  % (15953)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.73  % (15953)Termination reason: Refutation
% 0.58/0.73  
% 0.58/0.73  % (15953)Memory used [KB]: 975
% 0.58/0.73  % (15953)Time elapsed: 0.002 s
% 0.58/0.73  % (15953)Instructions burned: 3 (million)
% 0.58/0.73  % (15946)Success in time 0.37 s
% 0.58/0.73  % Vampire---4.8 exiting
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