TSTP Solution File: SWV386+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWV386+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 : n014.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 10:29:26 EDT 2024

% Result   : Theorem 0.60s 0.80s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   14 (   4 unt;   1 typ;   0 def)
%            Number of atoms       :  127 (   0 equ)
%            Maximal formula atoms :    6 (   9 avg)
%            Number of connectives :   35 (  16   ~;   4   |;  10   &)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       :   95 (  95 fml;   0 var)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    2 (   1   >;   1   *;   0   +;   0  <<)
%            Number of predicates  :   10 (   9 usr;   5 prp; 0-3 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :   31 (  20   !;  10   ?;   5   :)
%                                         (   1  !>;   0  ?*;   0  @-;   0  @+)

% Comments : 
%------------------------------------------------------------------------------
tff(pred_def_10,type,
    sQ4_eqProxy: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(f75,plain,
    $false,
    inference(subsumption_resolution,[],[f74,f59]) ).

tff(f59,plain,
    ~ check_cpq(triple(sK0,sK1,sK2)),
    inference(cnf_transformation,[],[f57]) ).

tff(f57,plain,
    ( ok(insert_cpq(triple(sK0,sK1,sK2),sK3))
    & check_cpq(insert_cpq(triple(sK0,sK1,sK2),sK3))
    & ~ check_cpq(triple(sK0,sK1,sK2)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f52,f56,f55]) ).

tff(f55,plain,
    ( ? [X0,X1,X2] :
        ( ? [X3] :
            ( ok(insert_cpq(triple(X0,X1,X2),X3))
            & check_cpq(insert_cpq(triple(X0,X1,X2),X3)) )
        & ~ check_cpq(triple(X0,X1,X2)) )
   => ( ? [X3] :
          ( ok(insert_cpq(triple(sK0,sK1,sK2),X3))
          & check_cpq(insert_cpq(triple(sK0,sK1,sK2),X3)) )
      & ~ check_cpq(triple(sK0,sK1,sK2)) ) ),
    introduced(choice_axiom,[]) ).

tff(f56,plain,
    ( ? [X3] :
        ( ok(insert_cpq(triple(sK0,sK1,sK2),X3))
        & check_cpq(insert_cpq(triple(sK0,sK1,sK2),X3)) )
   => ( ok(insert_cpq(triple(sK0,sK1,sK2),sK3))
      & check_cpq(insert_cpq(triple(sK0,sK1,sK2),sK3)) ) ),
    introduced(choice_axiom,[]) ).

tff(f52,plain,
    ? [X0,X1,X2] :
      ( ? [X3] :
          ( ok(insert_cpq(triple(X0,X1,X2),X3))
          & check_cpq(insert_cpq(triple(X0,X1,X2),X3)) )
      & ~ check_cpq(triple(X0,X1,X2)) ),
    inference(ennf_transformation,[],[f44]) ).

tff(f44,negated_conjecture,
    ~ ! [X0,X1,X2] :
        ( ~ check_cpq(triple(X0,X1,X2))
       => ! [X3] :
            ( ~ ok(insert_cpq(triple(X0,X1,X2),X3))
            | ~ check_cpq(insert_cpq(triple(X0,X1,X2),X3)) ) ),
    inference(negated_conjecture,[],[f43]) ).

tff(f43,conjecture,
    ! [X0,X1,X2] :
      ( ~ check_cpq(triple(X0,X1,X2))
     => ! [X3] :
          ( ~ ok(insert_cpq(triple(X0,X1,X2),X3))
          | ~ check_cpq(insert_cpq(triple(X0,X1,X2),X3)) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.rgtQca7Cne/Vampire---4.8_3568',l22_co) ).

tff(f74,plain,
    check_cpq(triple(sK0,sK1,sK2)),
    inference(resolution,[],[f58,f60]) ).

tff(f60,plain,
    check_cpq(insert_cpq(triple(sK0,sK1,sK2),sK3)),
    inference(cnf_transformation,[],[f57]) ).

tff(f58,plain,
    ! [X2: $i,X3: $i,X0: $i,X1: $i] :
      ( ~ check_cpq(insert_cpq(triple(X0,X1,X2),X3))
      | check_cpq(triple(X0,X1,X2)) ),
    inference(cnf_transformation,[],[f51]) ).

tff(f51,plain,
    ! [X0,X1,X2] :
      ( ! [X3] : ~ check_cpq(insert_cpq(triple(X0,X1,X2),X3))
      | check_cpq(triple(X0,X1,X2)) ),
    inference(ennf_transformation,[],[f42]) ).

tff(f42,axiom,
    ! [X0,X1,X2] :
      ( ~ check_cpq(triple(X0,X1,X2))
     => ! [X3] : ~ check_cpq(insert_cpq(triple(X0,X1,X2),X3)) ),
    file('/export/starexec/sandbox2/tmp/tmp.rgtQca7Cne/Vampire---4.8_3568',l22_l26) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : SWV386+1 : TPTP v8.1.2. Released v3.3.0.
% 0.04/0.15  % 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 : n014.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 21:10:53 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.rgtQca7Cne/Vampire---4.8_3568
% 0.60/0.79  % (3752)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)
% 0.60/0.79  % (3751)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)
% 0.60/0.79  % (3755)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)
% 0.60/0.79  % (3753)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.79  % (3754)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)
% 0.60/0.79  % (3759)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)
% 0.60/0.79  % (3756)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)
% 0.60/0.79  % (3751)First to succeed.
% 0.60/0.79  % (3754)Also succeeded, but the first one will report.
% 0.60/0.79  % (3759)Also succeeded, but the first one will report.
% 0.60/0.80  % (3751)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3709"
% 0.60/0.80  % (3752)Also succeeded, but the first one will report.
% 0.60/0.80  % (3756)Also succeeded, but the first one will report.
% 0.60/0.80  % (3755)Also succeeded, but the first one will report.
% 0.60/0.80  % (3751)Refutation found. Thanks to Tanya!
% 0.60/0.80  % SZS status Theorem for Vampire---4
% 0.60/0.80  % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.80  % (3751)------------------------------
% 0.60/0.80  % (3751)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.80  % (3751)Termination reason: Refutation
% 0.60/0.80  
% 0.60/0.80  % (3751)Memory used [KB]: 1077
% 0.60/0.80  % (3751)Time elapsed: 0.003 s
% 0.60/0.80  % (3751)Instructions burned: 3 (million)
% 0.60/0.80  % (3709)Success in time 0.431 s
% 0.60/0.80  % Vampire---4.8 exiting
%------------------------------------------------------------------------------