TSTP Solution File: SEU161+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEU161+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 : Wed May  1 03:50:21 EDT 2024

% Result   : Theorem 0.63s 0.83s
% Output   : Refutation 0.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   13 (   4 unt;   0 def)
%            Number of atoms       :   24 (  11 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   22 (  11   ~;   3   |;   4   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   14 (  10   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f26,plain,
    $false,
    inference(subsumption_resolution,[],[f25,f15]) ).

fof(f15,plain,
    in(sK0,sK1),
    inference(cnf_transformation,[],[f14]) ).

fof(f14,plain,
    ( sK1 != set_union2(singleton(sK0),sK1)
    & in(sK0,sK1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f10,f13]) ).

fof(f13,plain,
    ( ? [X0,X1] :
        ( set_union2(singleton(X0),X1) != X1
        & in(X0,X1) )
   => ( sK1 != set_union2(singleton(sK0),sK1)
      & in(sK0,sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f10,plain,
    ? [X0,X1] :
      ( set_union2(singleton(X0),X1) != X1
      & in(X0,X1) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f7,negated_conjecture,
    ~ ! [X0,X1] :
        ( in(X0,X1)
       => set_union2(singleton(X0),X1) = X1 ),
    inference(negated_conjecture,[],[f6]) ).

fof(f6,conjecture,
    ! [X0,X1] :
      ( in(X0,X1)
     => set_union2(singleton(X0),X1) = X1 ),
    file('/export/starexec/sandbox2/tmp/tmp.eyW5lkCs6v/Vampire---4.8_27000',t46_zfmisc_1) ).

fof(f25,plain,
    ~ in(sK0,sK1),
    inference(trivial_inequality_removal,[],[f22]) ).

fof(f22,plain,
    ( sK1 != sK1
    | ~ in(sK0,sK1) ),
    inference(superposition,[],[f16,f20]) ).

fof(f20,plain,
    ! [X0,X1] :
      ( set_union2(singleton(X0),X1) = X1
      | ~ in(X0,X1) ),
    inference(cnf_transformation,[],[f12]) ).

fof(f12,plain,
    ! [X0,X1] :
      ( set_union2(singleton(X0),X1) = X1
      | ~ in(X0,X1) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f8,axiom,
    ! [X0,X1] :
      ( in(X0,X1)
     => set_union2(singleton(X0),X1) = X1 ),
    file('/export/starexec/sandbox2/tmp/tmp.eyW5lkCs6v/Vampire---4.8_27000',l23_zfmisc_1) ).

fof(f16,plain,
    sK1 != set_union2(singleton(sK0),sK1),
    inference(cnf_transformation,[],[f14]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : SEU161+1 : TPTP v8.1.2. Released v3.3.0.
% 0.08/0.15  % 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   : Tue Apr 30 16:04:48 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.eyW5lkCs6v/Vampire---4.8_27000
% 0.63/0.83  % (27172)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)
% 0.63/0.83  % (27176)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)
% 0.63/0.83  % (27174)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.63/0.83  % (27175)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)
% 0.63/0.83  % (27173)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)
% 0.63/0.83  % (27177)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)
% 0.63/0.83  % (27178)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 (2995ds/83Mi)
% 0.63/0.83  % (27179)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)
% 0.63/0.83  % (27176)Refutation not found, incomplete strategy% (27176)------------------------------
% 0.63/0.83  % (27176)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.83  % (27176)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.83  
% 0.63/0.83  % (27176)Memory used [KB]: 963
% 0.63/0.83  % (27176)Time elapsed: 0.002 s
% 0.63/0.83  % (27176)Instructions burned: 2 (million)
% 0.63/0.83  % (27176)------------------------------
% 0.63/0.83  % (27176)------------------------------
% 0.63/0.83  % (27177)First to succeed.
% 0.63/0.83  % (27179)Refutation not found, incomplete strategy% (27179)------------------------------
% 0.63/0.83  % (27179)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.83  % (27179)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.83  
% 0.63/0.83  % (27179)Memory used [KB]: 963
% 0.63/0.83  % (27179)Time elapsed: 0.002 s
% 0.63/0.83  % (27179)Instructions burned: 2 (million)
% 0.63/0.83  % (27179)------------------------------
% 0.63/0.83  % (27179)------------------------------
% 0.63/0.83  % (27178)Also succeeded, but the first one will report.
% 0.63/0.83  % (27177)Refutation found. Thanks to Tanya!
% 0.63/0.83  % SZS status Theorem for Vampire---4
% 0.63/0.83  % SZS output start Proof for Vampire---4
% See solution above
% 0.63/0.83  % (27177)------------------------------
% 0.63/0.83  % (27177)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.83  % (27177)Termination reason: Refutation
% 0.63/0.83  
% 0.63/0.83  % (27177)Memory used [KB]: 972
% 0.63/0.83  % (27177)Time elapsed: 0.003 s
% 0.63/0.83  % (27177)Instructions burned: 2 (million)
% 0.63/0.83  % (27177)------------------------------
% 0.63/0.83  % (27177)------------------------------
% 0.63/0.83  % (27150)Success in time 0.464 s
% 0.63/0.83  % Vampire---4.8 exiting
%------------------------------------------------------------------------------