TSTP Solution File: SWV395+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWV395+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 : n012.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 10:29:28 EDT 2024

% Result   : Theorem 0.59s 0.74s
% Output   : Refutation 0.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   10 (   4 unt;   0 def)
%            Number of atoms       :   32 (   0 equ)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :   30 (   8   ~;   0   |;  19   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-3 aty)
%            Number of variables   :   24 (  12   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f106,plain,
    $false,
    inference(subsumption_resolution,[],[f64,f78]) ).

fof(f78,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.wQrQe3848k/Vampire---4.8_22953',ax22) ).

fof(f64,plain,
    pair_in_list(create_slb,sK2,sK3),
    inference(cnf_transformation,[],[f57]) ).

fof(f57,plain,
    ( ~ pair_in_list(remove_slb(create_slb,sK2),sK2,sK3)
    & ok(remove_cpq(triple(sK0,create_slb,sK1),sK2))
    & strictly_less_than(sK2,sK3)
    & pair_in_list(create_slb,sK2,sK3) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f47,f56]) ).

fof(f56,plain,
    ( ? [X0,X1,X2,X3] :
        ( ~ pair_in_list(remove_slb(create_slb,X2),X2,X3)
        & ok(remove_cpq(triple(X0,create_slb,X1),X2))
        & strictly_less_than(X2,X3)
        & pair_in_list(create_slb,X2,X3) )
   => ( ~ pair_in_list(remove_slb(create_slb,sK2),sK2,sK3)
      & ok(remove_cpq(triple(sK0,create_slb,sK1),sK2))
      & strictly_less_than(sK2,sK3)
      & pair_in_list(create_slb,sK2,sK3) ) ),
    introduced(choice_axiom,[]) ).

fof(f47,plain,
    ? [X0,X1,X2,X3] :
      ( ~ pair_in_list(remove_slb(create_slb,X2),X2,X3)
      & ok(remove_cpq(triple(X0,create_slb,X1),X2))
      & strictly_less_than(X2,X3)
      & pair_in_list(create_slb,X2,X3) ),
    inference(flattening,[],[f46]) ).

fof(f46,plain,
    ? [X0,X1,X2,X3] :
      ( ~ pair_in_list(remove_slb(create_slb,X2),X2,X3)
      & ok(remove_cpq(triple(X0,create_slb,X1),X2))
      & strictly_less_than(X2,X3)
      & pair_in_list(create_slb,X2,X3) ),
    inference(ennf_transformation,[],[f43]) ).

fof(f43,negated_conjecture,
    ~ ! [X0,X1,X2,X3] :
        ( ( ok(remove_cpq(triple(X0,create_slb,X1),X2))
          & strictly_less_than(X2,X3)
          & pair_in_list(create_slb,X2,X3) )
       => pair_in_list(remove_slb(create_slb,X2),X2,X3) ),
    inference(negated_conjecture,[],[f42]) ).

fof(f42,conjecture,
    ! [X0,X1,X2,X3] :
      ( ( ok(remove_cpq(triple(X0,create_slb,X1),X2))
        & strictly_less_than(X2,X3)
        & pair_in_list(create_slb,X2,X3) )
     => pair_in_list(remove_slb(create_slb,X2),X2,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.wQrQe3848k/Vampire---4.8_22953',l31_co) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : SWV395+1 : TPTP v8.1.2. Released v3.3.0.
% 0.15/0.14  % 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
% 0.15/0.35  % Computer : n012.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Fri May  3 20:56:38 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.15/0.35  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.wQrQe3848k/Vampire---4.8_22953
% 0.59/0.74  % (23122)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)
% 0.59/0.74  % (23128)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)
% 0.59/0.74  % (23121)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)
% 0.59/0.74  % (23128)First to succeed.
% 0.59/0.74  % (23123)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.59/0.74  % (23124)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)
% 0.59/0.74  % (23125)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)
% 0.59/0.74  % (23126)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)
% 0.59/0.74  % (23128)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-23104"
% 0.59/0.74  % (23127)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)
% 0.59/0.74  % (23122)Also succeeded, but the first one will report.
% 0.59/0.74  % (23128)Refutation found. Thanks to Tanya!
% 0.59/0.74  % SZS status Theorem for Vampire---4
% 0.59/0.74  % SZS output start Proof for Vampire---4
% See solution above
% 0.59/0.74  % (23128)------------------------------
% 0.59/0.74  % (23128)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.74  % (23128)Termination reason: Refutation
% 0.59/0.74  
% 0.59/0.74  % (23128)Memory used [KB]: 1063
% 0.59/0.74  % (23128)Time elapsed: 0.002 s
% 0.59/0.74  % (23128)Instructions burned: 3 (million)
% 0.59/0.74  % (23104)Success in time 0.377 s
% 0.59/0.74  % Vampire---4.8 exiting
%------------------------------------------------------------------------------