TSTP Solution File: SWV151+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWV151+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 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 : n007.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 10:28:15 EDT 2024

% Result   : Theorem 0.58s 0.77s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   41 (  14 unt;   0 def)
%            Number of atoms       :   81 (  17 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   68 (  28   ~;  23   |;   9   &)
%                                         (   3 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   3 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   7 con; 0-3 aty)
%            Number of variables   :   35 (  33   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f261,plain,
    $false,
    inference(avatar_sat_refutation,[],[f211,f226,f260]) ).

fof(f260,plain,
    ~ spl1_1,
    inference(avatar_contradiction_clause,[],[f259]) ).

fof(f259,plain,
    ( $false
    | ~ spl1_1 ),
    inference(subsumption_resolution,[],[f251,f250]) ).

fof(f250,plain,
    gt(n0,sK0),
    inference(forward_demodulation,[],[f216,f179]) ).

fof(f179,plain,
    n0 = plus(n1,tptp_minus_1),
    inference(definition_unfolding,[],[f132,f171]) ).

fof(f171,plain,
    ! [X0] : succ(X0) = plus(n1,X0),
    inference(cnf_transformation,[],[f30]) ).

fof(f30,axiom,
    ! [X0] : succ(X0) = plus(n1,X0),
    file('/export/starexec/sandbox2/tmp/tmp.Oo9pEX7xYB/Vampire---4.8_25393',succ_plus_1_l) ).

fof(f132,plain,
    n0 = succ(tptp_minus_1),
    inference(cnf_transformation,[],[f28]) ).

fof(f28,axiom,
    n0 = succ(tptp_minus_1),
    file('/export/starexec/sandbox2/tmp/tmp.Oo9pEX7xYB/Vampire---4.8_25393',succ_tptp_minus_1) ).

fof(f216,plain,
    gt(plus(n1,tptp_minus_1),sK0),
    inference(unit_resulting_resolution,[],[f113,f176]) ).

fof(f176,plain,
    ! [X0,X1] :
      ( gt(plus(n1,X1),X0)
      | ~ leq(X0,X1) ),
    inference(definition_unfolding,[],[f120,f171]) ).

fof(f120,plain,
    ! [X0,X1] :
      ( gt(succ(X1),X0)
      | ~ leq(X0,X1) ),
    inference(cnf_transformation,[],[f13]) ).

fof(f13,axiom,
    ! [X0,X1] :
      ( leq(X0,X1)
    <=> gt(succ(X1),X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.Oo9pEX7xYB/Vampire---4.8_25393',leq_succ_gt_equiv) ).

fof(f113,plain,
    leq(sK0,tptp_minus_1),
    inference(cnf_transformation,[],[f90]) ).

fof(f90,plain,
    ? [X0] :
      ( n1 != sum(n0,n4,a_select3(q,X0,tptp_sum_index))
      & leq(X0,tptp_minus_1)
      & leq(n0,X0) ),
    inference(flattening,[],[f89]) ).

fof(f89,plain,
    ? [X0] :
      ( n1 != sum(n0,n4,a_select3(q,X0,tptp_sum_index))
      & leq(X0,tptp_minus_1)
      & leq(n0,X0) ),
    inference(ennf_transformation,[],[f87]) ).

fof(f87,plain,
    ~ ! [X0] :
        ( ( leq(X0,tptp_minus_1)
          & leq(n0,X0) )
       => n1 = sum(n0,n4,a_select3(q,X0,tptp_sum_index)) ),
    inference(rectify,[],[f54]) ).

fof(f54,negated_conjecture,
    ~ ! [X13] :
        ( ( leq(X13,tptp_minus_1)
          & leq(n0,X13) )
       => n1 = sum(n0,n4,a_select3(q,X13,tptp_sum_index)) ),
    inference(negated_conjecture,[],[f53]) ).

fof(f53,conjecture,
    ! [X13] :
      ( ( leq(X13,tptp_minus_1)
        & leq(n0,X13) )
     => n1 = sum(n0,n4,a_select3(q,X13,tptp_sum_index)) ),
    file('/export/starexec/sandbox2/tmp/tmp.Oo9pEX7xYB/Vampire---4.8_25393',cl5_nebula_norm_0001) ).

fof(f251,plain,
    ( ~ gt(n0,sK0)
    | ~ spl1_1 ),
    inference(unit_resulting_resolution,[],[f152,f206,f153]) ).

fof(f153,plain,
    ! [X2,X0,X1] :
      ( ~ gt(X1,X2)
      | ~ gt(X0,X1)
      | gt(X0,X2) ),
    inference(cnf_transformation,[],[f111]) ).

fof(f111,plain,
    ! [X0,X1,X2] :
      ( gt(X0,X2)
      | ~ gt(X1,X2)
      | ~ gt(X0,X1) ),
    inference(flattening,[],[f110]) ).

fof(f110,plain,
    ! [X0,X1,X2] :
      ( gt(X0,X2)
      | ~ gt(X1,X2)
      | ~ gt(X0,X1) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,axiom,
    ! [X0,X1,X2] :
      ( ( gt(X1,X2)
        & gt(X0,X1) )
     => gt(X0,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.Oo9pEX7xYB/Vampire---4.8_25393',transitivity_gt) ).

fof(f206,plain,
    ( gt(sK0,n0)
    | ~ spl1_1 ),
    inference(avatar_component_clause,[],[f204]) ).

fof(f204,plain,
    ( spl1_1
  <=> gt(sK0,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).

fof(f152,plain,
    ! [X0] : ~ gt(X0,X0),
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0] : ~ gt(X0,X0),
    file('/export/starexec/sandbox2/tmp/tmp.Oo9pEX7xYB/Vampire---4.8_25393',irreflexivity_gt) ).

fof(f226,plain,
    ~ spl1_2,
    inference(avatar_contradiction_clause,[],[f225]) ).

fof(f225,plain,
    ( $false
    | ~ spl1_2 ),
    inference(subsumption_resolution,[],[f224,f152]) ).

fof(f224,plain,
    ( gt(n0,n0)
    | ~ spl1_2 ),
    inference(forward_demodulation,[],[f223,f179]) ).

fof(f223,plain,
    ( gt(plus(n1,tptp_minus_1),n0)
    | ~ spl1_2 ),
    inference(forward_demodulation,[],[f216,f210]) ).

fof(f210,plain,
    ( n0 = sK0
    | ~ spl1_2 ),
    inference(avatar_component_clause,[],[f208]) ).

fof(f208,plain,
    ( spl1_2
  <=> n0 = sK0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).

fof(f211,plain,
    ( spl1_1
    | spl1_2 ),
    inference(avatar_split_clause,[],[f201,f208,f204]) ).

fof(f201,plain,
    ( n0 = sK0
    | gt(sK0,n0) ),
    inference(resolution,[],[f112,f122]) ).

fof(f122,plain,
    ! [X0,X1] :
      ( ~ leq(X0,X1)
      | X0 = X1
      | gt(X1,X0) ),
    inference(cnf_transformation,[],[f96]) ).

fof(f96,plain,
    ! [X0,X1] :
      ( gt(X1,X0)
      | X0 = X1
      | ~ leq(X0,X1) ),
    inference(flattening,[],[f95]) ).

fof(f95,plain,
    ! [X0,X1] :
      ( gt(X1,X0)
      | X0 = X1
      | ~ leq(X0,X1) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f9,axiom,
    ! [X0,X1] :
      ( ( X0 != X1
        & leq(X0,X1) )
     => gt(X1,X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.Oo9pEX7xYB/Vampire---4.8_25393',leq_gt2) ).

fof(f112,plain,
    leq(n0,sK0),
    inference(cnf_transformation,[],[f90]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : SWV151+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.11/0.15  % 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
% 0.15/0.36  % Computer : n007.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Fri May  3 21:07:08 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.15/0.36  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.Oo9pEX7xYB/Vampire---4.8_25393
% 0.58/0.76  % (25714)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.58/0.76  % (25707)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)
% 0.58/0.76  % (25708)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)
% 0.58/0.76  % (25710)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)
% 0.58/0.76  % (25709)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.58/0.76  % (25711)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)
% 0.58/0.76  % (25712)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)
% 0.58/0.76  % (25713)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)
% 0.58/0.76  % (25710)Refutation not found, incomplete strategy% (25710)------------------------------
% 0.58/0.76  % (25710)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.76  % (25710)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.76  
% 0.58/0.76  % (25710)Memory used [KB]: 1092
% 0.58/0.76  % (25710)Time elapsed: 0.004 s
% 0.58/0.76  % (25710)Instructions burned: 4 (million)
% 0.58/0.76  % (25710)------------------------------
% 0.58/0.76  % (25710)------------------------------
% 0.58/0.77  % (25713)First to succeed.
% 0.58/0.77  % (25713)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-25609"
% 0.58/0.77  % (25709)Also succeeded, but the first one will report.
% 0.58/0.77  % (25713)Refutation found. Thanks to Tanya!
% 0.58/0.77  % SZS status Theorem for Vampire---4
% 0.58/0.77  % SZS output start Proof for Vampire---4
% See solution above
% 0.58/0.77  % (25713)------------------------------
% 0.58/0.77  % (25713)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.77  % (25713)Termination reason: Refutation
% 0.58/0.77  
% 0.58/0.77  % (25713)Memory used [KB]: 1166
% 0.58/0.77  % (25713)Time elapsed: 0.006 s
% 0.58/0.77  % (25713)Instructions burned: 8 (million)
% 0.58/0.77  % (25609)Success in time 0.392 s
% 0.58/0.77  % Vampire---4.8 exiting
%------------------------------------------------------------------------------