TSTP Solution File: SWV405+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWV405+1 : TPTP v8.1.2. Released 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 : n002.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 04:03:50 EDT 2024

% Result   : Theorem 0.59s 0.78s
% Output   : Refutation 0.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   15 (   6 unt;   0 def)
%            Number of atoms       :   51 (   0 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :   59 (  23   ~;  17   |;  12   &)
%                                         (   2 <=>;   4  =>;   0  <=;   1 <~>)
%            Maximal formula depth :   10 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-3 aty)
%            Number of variables   :   46 (  28   !;  18   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f87,plain,
    $false,
    inference(subsumption_resolution,[],[f86,f78]) ).

fof(f78,plain,
    ! [X0,X1] : check_cpq(triple(X0,create_slb,X1)),
    inference(cnf_transformation,[],[f24]) ).

fof(f24,axiom,
    ! [X0,X1] : check_cpq(triple(X0,create_slb,X1)),
    file('/export/starexec/sandbox2/tmp/tmp.zrGKQ8SS7b/Vampire---4.8_6989',ax36) ).

fof(f86,plain,
    ~ check_cpq(triple(sK0,create_slb,sK1)),
    inference(subsumption_resolution,[],[f65,f74]) ).

fof(f74,plain,
    ! [X0,X1] : ~ pair_in_list(create_slb,X0,X1),
    inference(cnf_transformation,[],[f10]) ).

fof(f10,axiom,
    ! [X0,X1] : ~ pair_in_list(create_slb,X0,X1),
    file('/export/starexec/sandbox2/tmp/tmp.zrGKQ8SS7b/Vampire---4.8_6989',ax22) ).

fof(f65,plain,
    ( pair_in_list(create_slb,sK2,sK3)
    | ~ check_cpq(triple(sK0,create_slb,sK1)) ),
    inference(cnf_transformation,[],[f60]) ).

fof(f60,plain,
    ( ( ( ~ less_than(sK3,sK2)
        & pair_in_list(create_slb,sK2,sK3) )
      | ~ check_cpq(triple(sK0,create_slb,sK1)) )
    & ( ! [X4,X5] :
          ( less_than(X5,X4)
          | ~ pair_in_list(create_slb,X4,X5) )
      | check_cpq(triple(sK0,create_slb,sK1)) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f57,f59,f58]) ).

fof(f58,plain,
    ( ? [X0,X1] :
        ( ( ? [X2,X3] :
              ( ~ less_than(X3,X2)
              & pair_in_list(create_slb,X2,X3) )
          | ~ check_cpq(triple(X0,create_slb,X1)) )
        & ( ! [X4,X5] :
              ( less_than(X5,X4)
              | ~ pair_in_list(create_slb,X4,X5) )
          | check_cpq(triple(X0,create_slb,X1)) ) )
   => ( ( ? [X2,X3] :
            ( ~ less_than(X3,X2)
            & pair_in_list(create_slb,X2,X3) )
        | ~ check_cpq(triple(sK0,create_slb,sK1)) )
      & ( ! [X4,X5] :
            ( less_than(X5,X4)
            | ~ pair_in_list(create_slb,X4,X5) )
        | check_cpq(triple(sK0,create_slb,sK1)) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f59,plain,
    ( ? [X2,X3] :
        ( ~ less_than(X3,X2)
        & pair_in_list(create_slb,X2,X3) )
   => ( ~ less_than(sK3,sK2)
      & pair_in_list(create_slb,sK2,sK3) ) ),
    introduced(choice_axiom,[]) ).

fof(f57,plain,
    ? [X0,X1] :
      ( ( ? [X2,X3] :
            ( ~ less_than(X3,X2)
            & pair_in_list(create_slb,X2,X3) )
        | ~ check_cpq(triple(X0,create_slb,X1)) )
      & ( ! [X4,X5] :
            ( less_than(X5,X4)
            | ~ pair_in_list(create_slb,X4,X5) )
        | check_cpq(triple(X0,create_slb,X1)) ) ),
    inference(rectify,[],[f56]) ).

fof(f56,plain,
    ? [X0,X1] :
      ( ( ? [X2,X3] :
            ( ~ less_than(X3,X2)
            & pair_in_list(create_slb,X2,X3) )
        | ~ check_cpq(triple(X0,create_slb,X1)) )
      & ( ! [X2,X3] :
            ( less_than(X3,X2)
            | ~ pair_in_list(create_slb,X2,X3) )
        | check_cpq(triple(X0,create_slb,X1)) ) ),
    inference(nnf_transformation,[],[f47]) ).

fof(f47,plain,
    ? [X0,X1] :
      ( check_cpq(triple(X0,create_slb,X1))
    <~> ! [X2,X3] :
          ( less_than(X3,X2)
          | ~ pair_in_list(create_slb,X2,X3) ) ),
    inference(ennf_transformation,[],[f43]) ).

fof(f43,negated_conjecture,
    ~ ! [X0,X1] :
        ( check_cpq(triple(X0,create_slb,X1))
      <=> ! [X2,X3] :
            ( pair_in_list(create_slb,X2,X3)
           => less_than(X3,X2) ) ),
    inference(negated_conjecture,[],[f42]) ).

fof(f42,conjecture,
    ! [X0,X1] :
      ( check_cpq(triple(X0,create_slb,X1))
    <=> ! [X2,X3] :
          ( pair_in_list(create_slb,X2,X3)
         => less_than(X3,X2) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.zrGKQ8SS7b/Vampire---4.8_6989',l41_co) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : SWV405+1 : TPTP v8.1.2. Released v3.3.0.
% 0.08/0.15  % 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
% 0.14/0.36  % Computer : n002.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Tue Apr 30 18:52:40 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.14/0.37  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.zrGKQ8SS7b/Vampire---4.8_6989
% 0.59/0.78  % (7198)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.59/0.78  % (7200)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 (2995ds/56Mi)
% 0.59/0.78  % (7198)First to succeed.
% 0.59/0.78  % (7193)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 (2995ds/34Mi)
% 0.59/0.78  % (7195)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.59/0.78  % (7196)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.59/0.78  % (7194)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 (2995ds/51Mi)
% 0.59/0.78  % (7197)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 (2995ds/34Mi)
% 0.59/0.78  % (7199)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 (2995ds/83Mi)
% 0.59/0.78  % (7200)Also succeeded, but the first one will report.
% 0.59/0.78  % (7198)Refutation found. Thanks to Tanya!
% 0.59/0.78  % SZS status Theorem for Vampire---4
% 0.59/0.78  % SZS output start Proof for Vampire---4
% See solution above
% 0.59/0.78  % (7198)------------------------------
% 0.59/0.78  % (7198)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.78  % (7198)Termination reason: Refutation
% 0.59/0.78  
% 0.59/0.78  % (7198)Memory used [KB]: 1071
% 0.59/0.78  % (7198)Time elapsed: 0.004 s
% 0.59/0.78  % (7198)Instructions burned: 3 (million)
% 0.59/0.78  % (7198)------------------------------
% 0.59/0.78  % (7198)------------------------------
% 0.59/0.78  % (7171)Success in time 0.409 s
% 0.59/0.79  % Vampire---4.8 exiting
%------------------------------------------------------------------------------