TSTP Solution File: SWV402+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWV402+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 : n026.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 10:29:29 EDT 2024

% Result   : Theorem 0.56s 0.73s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   13 (   4 unt;   1 typ;   0 def)
%            Number of atoms       :   77 (   0 equ)
%            Maximal formula atoms :    6 (   6 avg)
%            Number of connectives :   29 (  10   ~;   0   |;  15   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       :   46 (  46 fml;   0 var)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    2 (   1   >;   1   *;   0   +;   0  <<)
%            Number of predicates  :    9 (   8 usr;   5 prp; 0-3 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :   28 (  15   !;  12   ?;   3   :)
%                                         (   1  !>;   0  ?*;   0  @-;   0  @+)

% Comments : 
%------------------------------------------------------------------------------
tff(pred_def_6,type,
    sQ3_eqProxy: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(f59,plain,
    $false,
    inference(resolution,[],[f39,f35]) ).

tff(f35,plain,
    pair_in_list(create_slb,sK0,sK1),
    inference(cnf_transformation,[],[f30]) ).

tff(f30,plain,
    ( ~ pair_in_list(update_slb(create_slb,sK2),sK0,sK2)
    & strictly_less_than(sK1,sK2)
    & pair_in_list(create_slb,sK0,sK1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f28,f29]) ).

tff(f29,plain,
    ( ? [X0,X1,X2] :
        ( ~ pair_in_list(update_slb(create_slb,X2),X0,X2)
        & strictly_less_than(X1,X2)
        & pair_in_list(create_slb,X0,X1) )
   => ( ~ pair_in_list(update_slb(create_slb,sK2),sK0,sK2)
      & strictly_less_than(sK1,sK2)
      & pair_in_list(create_slb,sK0,sK1) ) ),
    introduced(choice_axiom,[]) ).

tff(f28,plain,
    ? [X0,X1,X2] :
      ( ~ pair_in_list(update_slb(create_slb,X2),X0,X2)
      & strictly_less_than(X1,X2)
      & pair_in_list(create_slb,X0,X1) ),
    inference(rectify,[],[f25]) ).

tff(f25,plain,
    ? [X1,X2,X3] :
      ( ~ pair_in_list(update_slb(create_slb,X3),X1,X3)
      & strictly_less_than(X2,X3)
      & pair_in_list(create_slb,X1,X2) ),
    inference(flattening,[],[f24]) ).

tff(f24,plain,
    ? [X1,X2,X3] :
      ( ~ pair_in_list(update_slb(create_slb,X3),X1,X3)
      & strictly_less_than(X2,X3)
      & pair_in_list(create_slb,X1,X2) ),
    inference(ennf_transformation,[],[f21]) ).

tff(f21,plain,
    ~ ! [X1,X2,X3] :
        ( ( strictly_less_than(X2,X3)
          & pair_in_list(create_slb,X1,X2) )
       => pair_in_list(update_slb(create_slb,X3),X1,X3) ),
    inference(rectify,[],[f20]) ).

tff(f20,negated_conjecture,
    ~ ! [X0,X1,X2,X3] :
        ( ( strictly_less_than(X2,X3)
          & pair_in_list(create_slb,X1,X2) )
       => pair_in_list(update_slb(create_slb,X3),X1,X3) ),
    inference(negated_conjecture,[],[f19]) ).

tff(f19,conjecture,
    ! [X0,X1,X2,X3] :
      ( ( strictly_less_than(X2,X3)
        & pair_in_list(create_slb,X1,X2) )
     => pair_in_list(update_slb(create_slb,X3),X1,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.Co35Ela91x/Vampire---4.8_6523',l38_co) ).

tff(f39,plain,
    ! [X0: $i,X1: $i] : ~ pair_in_list(create_slb,X0,X1),
    inference(cnf_transformation,[],[f10]) ).

tff(f10,axiom,
    ! [X0,X1] : ~ pair_in_list(create_slb,X0,X1),
    file('/export/starexec/sandbox2/tmp/tmp.Co35Ela91x/Vampire---4.8_6523',ax22) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : SWV402+1 : TPTP v8.1.2. Released v3.3.0.
% 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
% 0.14/0.36  % Computer : n026.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   : Fri May  3 21:15:38 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.14/0.36  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.Co35Ela91x/Vampire---4.8_6523
% 0.56/0.73  % (6632)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)
% 0.56/0.73  % (6637)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)
% 0.56/0.73  % (6634)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.73  % (6635)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)
% 0.56/0.73  % (6633)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)
% 0.56/0.73  % (6638)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)
% 0.56/0.73  % (6632)First to succeed.
% 0.56/0.73  % (6632)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-6631"
% 0.56/0.73  % (6637)Also succeeded, but the first one will report.
% 0.56/0.73  % (6635)Also succeeded, but the first one will report.
% 0.56/0.73  % (6633)Also succeeded, but the first one will report.
% 0.56/0.73  % (6638)Also succeeded, but the first one will report.
% 0.56/0.73  % (6632)Refutation found. Thanks to Tanya!
% 0.56/0.73  % SZS status Theorem for Vampire---4
% 0.56/0.73  % SZS output start Proof for Vampire---4
% See solution above
% 0.56/0.73  % (6632)------------------------------
% 0.56/0.73  % (6632)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.73  % (6632)Termination reason: Refutation
% 0.56/0.73  
% 0.56/0.73  % (6632)Memory used [KB]: 982
% 0.56/0.73  % (6632)Time elapsed: 0.002 s
% 0.56/0.73  % (6632)Instructions burned: 3 (million)
% 0.56/0.73  % (6631)Success in time 0.366 s
% 0.56/0.74  % Vampire---4.8 exiting
%------------------------------------------------------------------------------