TSTP Solution File: SWV007-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWV007-1 : TPTP v8.1.2. Released v1.0.0.
% 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 : n004.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 : Wed May  1 04:02:06 EDT 2024

% Result   : Unsatisfiable 0.71s 0.90s
% Output   : Refutation 0.71s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   38 (   8 unt;   0 def)
%            Number of atoms       :   78 (   7 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   73 (  33   ~;  34   |;   0   &)
%                                         (   6 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   7 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-1 aty)
%            Number of variables   :   11 (  11   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f235,plain,
    $false,
    inference(avatar_sat_refutation,[],[f35,f45,f122,f149,f191,f200,f234]) ).

fof(f234,plain,
    ( spl0_2
    | ~ spl0_6 ),
    inference(avatar_contradiction_clause,[],[f232]) ).

fof(f232,plain,
    ( $false
    | spl0_2
    | ~ spl0_6 ),
    inference(resolution,[],[f207,f6]) ).

fof(f6,axiom,
    ! [X0] : less_than(X0,successor(X0)),
    file('/export/starexec/sandbox2/tmp/tmp.4wTpRo5isI/Vampire---4.8_21764',less_than_successor) ).

fof(f207,plain,
    ( ~ less_than(n,successor(n))
    | spl0_2
    | ~ spl0_6 ),
    inference(superposition,[],[f34,f121]) ).

fof(f121,plain,
    ( n = m
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f119]) ).

fof(f119,plain,
    ( spl0_6
  <=> n = m ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f34,plain,
    ( ~ less_than(m,successor(n))
    | spl0_2 ),
    inference(avatar_component_clause,[],[f32]) ).

fof(f32,plain,
    ( spl0_2
  <=> less_than(m,successor(n)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f200,plain,
    ( ~ spl0_5
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f198,f146,f115]) ).

fof(f115,plain,
    ( spl0_5
  <=> less_than(m,n) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f146,plain,
    ( spl0_12
  <=> m = successor(n) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f198,plain,
    ( ~ less_than(m,n)
    | ~ spl0_12 ),
    inference(superposition,[],[f40,f148]) ).

fof(f148,plain,
    ( m = successor(n)
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f146]) ).

fof(f40,plain,
    ! [X0] : ~ less_than(successor(X0),X0),
    inference(resolution,[],[f10,f6]) ).

fof(f10,axiom,
    ! [X0,X1] :
      ( ~ less_than(X1,X0)
      | ~ less_than(X0,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.4wTpRo5isI/Vampire---4.8_21764',anti_symmetry_of_less_than) ).

fof(f191,plain,
    ( ~ spl0_5
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f188]) ).

fof(f188,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_11 ),
    inference(resolution,[],[f182,f40]) ).

fof(f182,plain,
    ( less_than(successor(n),n)
    | ~ spl0_5
    | ~ spl0_11 ),
    inference(resolution,[],[f155,f144]) ).

fof(f144,plain,
    ( less_than(successor(n),m)
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f142]) ).

fof(f142,plain,
    ( spl0_11
  <=> less_than(successor(n),m) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f155,plain,
    ( ! [X0] :
        ( ~ less_than(X0,m)
        | less_than(X0,n) )
    | ~ spl0_5 ),
    inference(resolution,[],[f117,f7]) ).

fof(f7,axiom,
    ! [X2,X0,X1] :
      ( ~ less_than(X1,X2)
      | ~ less_than(X0,X1)
      | less_than(X0,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.4wTpRo5isI/Vampire---4.8_21764',transitivity_of_less_than) ).

fof(f117,plain,
    ( less_than(m,n)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f115]) ).

fof(f149,plain,
    ( spl0_11
    | spl0_12
    | spl0_2 ),
    inference(avatar_split_clause,[],[f95,f32,f146,f142]) ).

fof(f95,plain,
    ( m = successor(n)
    | less_than(successor(n),m)
    | spl0_2 ),
    inference(resolution,[],[f8,f34]) ).

fof(f8,axiom,
    ! [X0,X1] :
      ( less_than(X1,X0)
      | X0 = X1
      | less_than(X0,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.4wTpRo5isI/Vampire---4.8_21764',all_related) ).

fof(f122,plain,
    ( spl0_5
    | spl0_6 ),
    inference(avatar_split_clause,[],[f92,f119,f115]) ).

fof(f92,plain,
    ( n = m
    | less_than(m,n) ),
    inference(resolution,[],[f8,f16]) ).

fof(f16,axiom,
    ~ less_than(n,m),
    file('/export/starexec/sandbox2/tmp/tmp.4wTpRo5isI/Vampire---4.8_21764',clause_4) ).

fof(f45,plain,
    ~ spl0_1,
    inference(avatar_split_clause,[],[f43,f28]) ).

fof(f28,plain,
    ( spl0_1
  <=> less_than(m,i) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f43,plain,
    ~ less_than(m,i),
    inference(resolution,[],[f10,f17]) ).

fof(f17,axiom,
    less_than(i,m),
    file('/export/starexec/sandbox2/tmp/tmp.4wTpRo5isI/Vampire---4.8_21764',clause_5) ).

fof(f35,plain,
    ( spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f26,f32,f28]) ).

fof(f26,plain,
    ( ~ less_than(m,successor(n))
    | less_than(m,i) ),
    inference(resolution,[],[f23,f20]) ).

fof(f20,axiom,
    less_than(a(m),a(k)),
    file('/export/starexec/sandbox2/tmp/tmp.4wTpRo5isI/Vampire---4.8_21764',clause_8) ).

fof(f23,axiom,
    ! [X0] :
      ( ~ less_than(a(X0),a(k))
      | ~ less_than(X0,successor(n))
      | less_than(X0,i) ),
    file('/export/starexec/sandbox2/tmp/tmp.4wTpRo5isI/Vampire---4.8_21764',clause_11) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : SWV007-1 : TPTP v8.1.2. Released v1.0.0.
% 0.14/0.15  % 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
% 0.16/0.36  % Computer : n004.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Tue Apr 30 18:27:18 EDT 2024
% 0.16/0.36  % CPUTime    : 
% 0.16/0.36  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.16/0.37  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.4wTpRo5isI/Vampire---4.8_21764
% 0.71/0.90  % (22108)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 (2994ds/34Mi)
% 0.71/0.90  % (22110)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2994ds/78Mi)
% 0.71/0.90  % (22112)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 (2994ds/34Mi)
% 0.71/0.90  % (22111)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2994ds/33Mi)
% 0.71/0.90  % (22109)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 (2994ds/51Mi)
% 0.71/0.90  % (22113)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2994ds/45Mi)
% 0.71/0.90  % (22114)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 (2994ds/83Mi)
% 0.71/0.90  % (22115)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 (2994ds/56Mi)
% 0.71/0.90  % (22109)First to succeed.
% 0.71/0.90  % (22113)Also succeeded, but the first one will report.
% 0.71/0.90  % (22109)Refutation found. Thanks to Tanya!
% 0.71/0.90  % SZS status Unsatisfiable for Vampire---4
% 0.71/0.90  % SZS output start Proof for Vampire---4
% See solution above
% 0.71/0.90  % (22109)------------------------------
% 0.71/0.90  % (22109)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.71/0.90  % (22109)Termination reason: Refutation
% 0.71/0.90  
% 0.71/0.90  % (22109)Memory used [KB]: 1098
% 0.71/0.90  % (22109)Time elapsed: 0.007 s
% 0.71/0.90  % (22109)Instructions burned: 9 (million)
% 0.71/0.90  % (22109)------------------------------
% 0.71/0.90  % (22109)------------------------------
% 0.71/0.90  % (21972)Success in time 0.527 s
% 0.71/0.91  % Vampire---4.8 exiting
%------------------------------------------------------------------------------