TSTP Solution File: SWV389+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWV389+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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n007.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 0.59s 0.76s
% Output   : Refutation 0.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   21 (   9 unt;   0 def)
%            Number of atoms       :   47 (   2 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   49 (  23   ~;  11   |;  11   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   3 con; 0-3 aty)
%            Number of variables   :   32 (  23   !;   9   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f108,plain,
    $false,
    inference(subsumption_resolution,[],[f107,f97]) ).

fof(f97,plain,
    check_cpq(remove_cpq(findmin_cpq_eff(triple(sK0,sK1,sK2)),findmin_cpq_res(triple(sK0,sK1,sK2)))),
    inference(definition_unfolding,[],[f73,f81]) ).

fof(f81,plain,
    ! [X0] : removemin_cpq_eff(X0) = remove_cpq(findmin_cpq_eff(X0),findmin_cpq_res(X0)),
    inference(cnf_transformation,[],[f40]) ).

fof(f40,axiom,
    ! [X0] : removemin_cpq_eff(X0) = remove_cpq(findmin_cpq_eff(X0),findmin_cpq_res(X0)),
    file('/export/starexec/sandbox/tmp/tmp.c99Qec4M1V/Vampire---4.8_30710',ax52) ).

fof(f73,plain,
    check_cpq(removemin_cpq_eff(triple(sK0,sK1,sK2))),
    inference(cnf_transformation,[],[f69]) ).

fof(f69,plain,
    ( ok(removemin_cpq_eff(triple(sK0,sK1,sK2)))
    & check_cpq(removemin_cpq_eff(triple(sK0,sK1,sK2)))
    & ~ check_cpq(triple(sK0,sK1,sK2)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f54,f68]) ).

fof(f68,plain,
    ( ? [X0,X1,X2] :
        ( ok(removemin_cpq_eff(triple(X0,X1,X2)))
        & check_cpq(removemin_cpq_eff(triple(X0,X1,X2)))
        & ~ check_cpq(triple(X0,X1,X2)) )
   => ( ok(removemin_cpq_eff(triple(sK0,sK1,sK2)))
      & check_cpq(removemin_cpq_eff(triple(sK0,sK1,sK2)))
      & ~ check_cpq(triple(sK0,sK1,sK2)) ) ),
    introduced(choice_axiom,[]) ).

fof(f54,plain,
    ? [X0,X1,X2] :
      ( ok(removemin_cpq_eff(triple(X0,X1,X2)))
      & check_cpq(removemin_cpq_eff(triple(X0,X1,X2)))
      & ~ check_cpq(triple(X0,X1,X2)) ),
    inference(flattening,[],[f53]) ).

fof(f53,plain,
    ? [X0,X1,X2] :
      ( ok(removemin_cpq_eff(triple(X0,X1,X2)))
      & check_cpq(removemin_cpq_eff(triple(X0,X1,X2)))
      & ~ check_cpq(triple(X0,X1,X2)) ),
    inference(ennf_transformation,[],[f44]) ).

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

fof(f43,conjecture,
    ! [X0,X1,X2] :
      ( ~ check_cpq(triple(X0,X1,X2))
     => ( ~ ok(removemin_cpq_eff(triple(X0,X1,X2)))
        | ~ check_cpq(removemin_cpq_eff(triple(X0,X1,X2))) ) ),
    file('/export/starexec/sandbox/tmp/tmp.c99Qec4M1V/Vampire---4.8_30710',l25_co) ).

fof(f107,plain,
    ~ check_cpq(remove_cpq(findmin_cpq_eff(triple(sK0,sK1,sK2)),findmin_cpq_res(triple(sK0,sK1,sK2)))),
    inference(subsumption_resolution,[],[f106,f72]) ).

fof(f72,plain,
    ~ check_cpq(triple(sK0,sK1,sK2)),
    inference(cnf_transformation,[],[f69]) ).

fof(f106,plain,
    ( check_cpq(triple(sK0,sK1,sK2))
    | ~ check_cpq(remove_cpq(findmin_cpq_eff(triple(sK0,sK1,sK2)),findmin_cpq_res(triple(sK0,sK1,sK2)))) ),
    inference(resolution,[],[f95,f96]) ).

fof(f96,plain,
    ok(remove_cpq(findmin_cpq_eff(triple(sK0,sK1,sK2)),findmin_cpq_res(triple(sK0,sK1,sK2)))),
    inference(definition_unfolding,[],[f74,f81]) ).

fof(f74,plain,
    ok(removemin_cpq_eff(triple(sK0,sK1,sK2))),
    inference(cnf_transformation,[],[f69]) ).

fof(f95,plain,
    ! [X2,X0,X1] :
      ( ~ ok(remove_cpq(findmin_cpq_eff(triple(X0,X1,X2)),findmin_cpq_res(triple(X0,X1,X2))))
      | check_cpq(triple(X0,X1,X2))
      | ~ check_cpq(remove_cpq(findmin_cpq_eff(triple(X0,X1,X2)),findmin_cpq_res(triple(X0,X1,X2)))) ),
    inference(definition_unfolding,[],[f71,f81,f81]) ).

fof(f71,plain,
    ! [X2,X0,X1] :
      ( check_cpq(triple(X0,X1,X2))
      | ~ ok(removemin_cpq_eff(triple(X0,X1,X2)))
      | ~ check_cpq(removemin_cpq_eff(triple(X0,X1,X2))) ),
    inference(cnf_transformation,[],[f52]) ).

fof(f52,plain,
    ! [X0,X1,X2] :
      ( check_cpq(triple(X0,X1,X2))
      | ~ ok(removemin_cpq_eff(triple(X0,X1,X2)))
      | ~ check_cpq(removemin_cpq_eff(triple(X0,X1,X2))) ),
    inference(flattening,[],[f51]) ).

fof(f51,plain,
    ! [X0,X1,X2] :
      ( check_cpq(triple(X0,X1,X2))
      | ~ ok(removemin_cpq_eff(triple(X0,X1,X2)))
      | ~ check_cpq(removemin_cpq_eff(triple(X0,X1,X2))) ),
    inference(ennf_transformation,[],[f42]) ).

fof(f42,axiom,
    ! [X0,X1,X2] :
      ( ( ok(removemin_cpq_eff(triple(X0,X1,X2)))
        & check_cpq(removemin_cpq_eff(triple(X0,X1,X2))) )
     => check_cpq(triple(X0,X1,X2)) ),
    file('/export/starexec/sandbox/tmp/tmp.c99Qec4M1V/Vampire---4.8_30710',l25_l40) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : SWV389+1 : TPTP v8.1.2. Released v3.3.0.
% 0.03/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36  % Computer : n007.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 21:08:08 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.15/0.37  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.c99Qec4M1V/Vampire---4.8_30710
% 0.59/0.75  % (31074)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)
% 0.59/0.76  % (31066)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)
% 0.59/0.76  % (31069)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.59/0.76  % (31068)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)
% 0.59/0.76  % (31074)First to succeed.
% 0.59/0.76  % (31071)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)
% 0.59/0.76  % (31070)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)
% 0.59/0.76  % (31072)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)
% 0.59/0.76  % (31073)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)
% 0.59/0.76  % (31074)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-30962"
% 0.59/0.76  % (31074)Refutation found. Thanks to Tanya!
% 0.59/0.76  % SZS status Theorem for Vampire---4
% 0.59/0.76  % SZS output start Proof for Vampire---4
% See solution above
% 0.59/0.76  % (31074)------------------------------
% 0.59/0.76  % (31074)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.76  % (31074)Termination reason: Refutation
% 0.59/0.76  
% 0.59/0.76  % (31074)Memory used [KB]: 1069
% 0.59/0.76  % (31074)Time elapsed: 0.002 s
% 0.59/0.76  % (31074)Instructions burned: 4 (million)
% 0.59/0.76  % (30962)Success in time 0.384 s
% 0.61/0.76  % Vampire---4.8 exiting
%------------------------------------------------------------------------------