TSTP Solution File: SEU122+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEU122+1 : TPTP v8.2.0. 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 : n010.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 : Tue May 21 03:44:51 EDT 2024

% Result   : Theorem 0.57s 0.75s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   21 (   9 unt;   0 def)
%            Number of atoms       :   49 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   53 (  25   ~;  14   |;   9   &)
%                                         (   2 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :   34 (  29   !;   5   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f51,plain,
    $false,
    inference(resolution,[],[f48,f34]) ).

fof(f34,plain,
    empty(empty_set),
    inference(cnf_transformation,[],[f4]) ).

fof(f4,axiom,
    empty(empty_set),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_xboole_0) ).

fof(f48,plain,
    ~ empty(empty_set),
    inference(resolution,[],[f47,f38]) ).

fof(f38,plain,
    ~ subset(empty_set,sK3),
    inference(cnf_transformation,[],[f29]) ).

fof(f29,plain,
    ~ subset(empty_set,sK3),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f16,f28]) ).

fof(f28,plain,
    ( ? [X0] : ~ subset(empty_set,X0)
   => ~ subset(empty_set,sK3) ),
    introduced(choice_axiom,[]) ).

fof(f16,plain,
    ? [X0] : ~ subset(empty_set,X0),
    inference(ennf_transformation,[],[f9]) ).

fof(f9,negated_conjecture,
    ~ ! [X0] : subset(empty_set,X0),
    inference(negated_conjecture,[],[f8]) ).

fof(f8,conjecture,
    ! [X0] : subset(empty_set,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_xboole_1) ).

fof(f47,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
      | ~ empty(X0) ),
    inference(resolution,[],[f32,f40]) ).

fof(f40,plain,
    ! [X0,X1] :
      ( ~ in(X0,X1)
      | ~ empty(X1) ),
    inference(cnf_transformation,[],[f18]) ).

fof(f18,plain,
    ! [X0,X1] :
      ( ~ empty(X1)
      | ~ in(X0,X1) ),
    inference(ennf_transformation,[],[f11]) ).

fof(f11,axiom,
    ! [X0,X1] :
      ~ ( empty(X1)
        & in(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_boole) ).

fof(f32,plain,
    ! [X0,X1] :
      ( in(sK0(X0,X1),X0)
      | subset(X0,X1) ),
    inference(cnf_transformation,[],[f23]) ).

fof(f23,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ( ~ in(sK0(X0,X1),X1)
          & in(sK0(X0,X1),X0) ) )
      & ( ! [X3] :
            ( in(X3,X1)
            | ~ in(X3,X0) )
        | ~ subset(X0,X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f21,f22]) ).

fof(f22,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ~ in(X2,X1)
          & in(X2,X0) )
     => ( ~ in(sK0(X0,X1),X1)
        & in(sK0(X0,X1),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f21,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ? [X2] :
            ( ~ in(X2,X1)
            & in(X2,X0) ) )
      & ( ! [X3] :
            ( in(X3,X1)
            | ~ in(X3,X0) )
        | ~ subset(X0,X1) ) ),
    inference(rectify,[],[f20]) ).

fof(f20,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ? [X2] :
            ( ~ in(X2,X1)
            & in(X2,X0) ) )
      & ( ! [X2] :
            ( in(X2,X1)
            | ~ in(X2,X0) )
        | ~ subset(X0,X1) ) ),
    inference(nnf_transformation,[],[f15]) ).

fof(f15,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( in(X2,X1)
          | ~ in(X2,X0) ) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( in(X2,X0)
         => in(X2,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : SEU122+1 : TPTP v8.2.0. Released v3.3.0.
% 0.10/0.14  % 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
% 0.14/0.35  % Computer : n010.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Sun May 19 17:42:53 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/benchmark/theBenchmark.p
% 0.57/0.74  % (9772)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 theBenchmark for (2996ds/34Mi)
% 0.57/0.74  % (9774)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.57/0.74  % (9775)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.57/0.74  % (9773)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 theBenchmark for (2996ds/51Mi)
% 0.57/0.74  % (9777)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.57/0.74  % (9776)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 theBenchmark for (2996ds/34Mi)
% 0.57/0.74  % (9778)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 theBenchmark for (2996ds/83Mi)
% 0.57/0.74  % (9779)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.57/0.75  % (9777)Refutation not found, incomplete strategy% (9777)------------------------------
% 0.57/0.75  % (9777)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (9777)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (9777)Memory used [KB]: 952
% 0.57/0.75  % (9777)Time elapsed: 0.002 s
% 0.57/0.75  % (9777)Instructions burned: 2 (million)
% 0.57/0.75  % (9775)Refutation not found, incomplete strategy% (9775)------------------------------
% 0.57/0.75  % (9775)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (9775)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (9775)Memory used [KB]: 954
% 0.57/0.75  % (9775)Time elapsed: 0.003 s
% 0.57/0.75  % (9775)Instructions burned: 2 (million)
% 0.57/0.75  % (9779)Refutation not found, incomplete strategy% (9779)------------------------------
% 0.57/0.75  % (9779)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (9779)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (9779)Memory used [KB]: 966
% 0.57/0.75  % (9779)Time elapsed: 0.002 s
% 0.57/0.75  % (9779)Instructions burned: 2 (million)
% 0.57/0.75  % (9776)Refutation not found, incomplete strategy% (9776)------------------------------
% 0.57/0.75  % (9776)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (9777)------------------------------
% 0.57/0.75  % (9777)------------------------------
% 0.57/0.75  % (9776)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (9776)Memory used [KB]: 955
% 0.57/0.75  % (9774)Also succeeded, but the first one will report.
% 0.57/0.75  % (9773)First to succeed.
% 0.57/0.75  % (9776)Time elapsed: 0.003 s
% 0.57/0.75  % (9776)Instructions burned: 2 (million)
% 0.57/0.75  % (9779)------------------------------
% 0.57/0.75  % (9779)------------------------------
% 0.57/0.75  % (9775)------------------------------
% 0.57/0.75  % (9775)------------------------------
% 0.57/0.75  % (9778)Also succeeded, but the first one will report.
% 0.57/0.75  % (9776)------------------------------
% 0.57/0.75  % (9776)------------------------------
% 0.57/0.75  % (9773)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-9611"
% 0.57/0.75  % (9773)Refutation found. Thanks to Tanya!
% 0.57/0.75  % SZS status Theorem for theBenchmark
% 0.57/0.75  % SZS output start Proof for theBenchmark
% See solution above
% 0.57/0.75  % (9773)------------------------------
% 0.57/0.75  % (9773)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (9773)Termination reason: Refutation
% 0.57/0.75  
% 0.57/0.75  % (9773)Memory used [KB]: 978
% 0.57/0.75  % (9773)Time elapsed: 0.003 s
% 0.57/0.75  % (9773)Instructions burned: 3 (million)
% 0.57/0.75  % (9611)Success in time 0.382 s
% 0.57/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------