TSTP Solution File: SET903+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET903+1 : TPTP v8.1.2. Released v3.2.0.
% 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 : n005.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 03:49:26 EDT 2024

% Result   : Theorem 0.59s 0.80s
% Output   : Refutation 0.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   17 (   9 unt;   0 def)
%            Number of atoms       :   44 (  39 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :   51 (  24   ~;   9   |;  18   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :   26 (  23   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f49,plain,
    $false,
    inference(subsumption_resolution,[],[f48,f17]) ).

fof(f17,plain,
    sK1 != sK2,
    inference(cnf_transformation,[],[f12]) ).

fof(f12,plain,
    ? [X0,X1,X2] :
      ( empty_set != X2
      & empty_set != X1
      & X1 != X2
      & singleton(X0) = set_union2(X1,X2) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f10,negated_conjecture,
    ~ ! [X0,X1,X2] :
        ~ ( empty_set != X2
          & empty_set != X1
          & X1 != X2
          & singleton(X0) = set_union2(X1,X2) ),
    inference(negated_conjecture,[],[f9]) ).

fof(f9,conjecture,
    ! [X0,X1,X2] :
      ~ ( empty_set != X2
        & empty_set != X1
        & X1 != X2
        & singleton(X0) = set_union2(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.SMcUCFIcxy/Vampire---4.8_8729',t44_zfmisc_1) ).

fof(f48,plain,
    sK1 = sK2,
    inference(forward_demodulation,[],[f44,f45]) ).

fof(f45,plain,
    sK1 = singleton(sK0),
    inference(unit_resulting_resolution,[],[f18,f34,f16,f28]) ).

fof(f28,plain,
    ! [X2,X0,X1] :
      ( sP3(X2,X1,X0)
      | singleton(X0) = X1
      | empty_set = X1
      | singleton(X0) != set_union2(X1,X2) ),
    inference(cnf_transformation,[],[f15]) ).

fof(f15,plain,
    ! [X0,X1,X2] :
      ( ( empty_set = X2
        & singleton(X0) = X1 )
      | ( singleton(X0) = X2
        & empty_set = X1 )
      | ( singleton(X0) = X2
        & singleton(X0) = X1 )
      | singleton(X0) != set_union2(X1,X2) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f8,axiom,
    ! [X0,X1,X2] :
      ~ ( ~ ( empty_set = X2
            & singleton(X0) = X1 )
        & ~ ( singleton(X0) = X2
            & empty_set = X1 )
        & ~ ( singleton(X0) = X2
            & singleton(X0) = X1 )
        & singleton(X0) = set_union2(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.SMcUCFIcxy/Vampire---4.8_8729',t43_zfmisc_1) ).

fof(f16,plain,
    singleton(sK0) = set_union2(sK1,sK2),
    inference(cnf_transformation,[],[f12]) ).

fof(f34,plain,
    ! [X0,X1] : ~ sP3(sK2,X0,X1),
    inference(unit_resulting_resolution,[],[f19,f25]) ).

fof(f25,plain,
    ! [X2,X0,X1] :
      ( ~ sP3(X2,X1,X0)
      | empty_set = X2 ),
    inference(cnf_transformation,[],[f15]) ).

fof(f19,plain,
    empty_set != sK2,
    inference(cnf_transformation,[],[f12]) ).

fof(f18,plain,
    empty_set != sK1,
    inference(cnf_transformation,[],[f12]) ).

fof(f44,plain,
    sK2 = singleton(sK0),
    inference(unit_resulting_resolution,[],[f34,f16,f27]) ).

fof(f27,plain,
    ! [X2,X0,X1] :
      ( sP3(X2,X1,X0)
      | singleton(X0) = X2
      | singleton(X0) != set_union2(X1,X2) ),
    inference(cnf_transformation,[],[f15]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.10  % Problem    : SET903+1 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.11  % 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
% 0.10/0.31  % Computer : n005.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 300
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Tue Apr 30 17:08:41 EDT 2024
% 0.15/0.31  % CPUTime    : 
% 0.15/0.31  This is a FOF_THM_RFO_SEQ problem
% 0.15/0.31  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.SMcUCFIcxy/Vampire---4.8_8729
% 0.59/0.79  % (8841)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.59/0.79  % (8840)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)
% 0.59/0.79  % (8844)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)
% 0.59/0.79  % (8843)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)
% 0.59/0.79  % (8839)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)
% 0.59/0.79  % (8842)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)
% 0.59/0.79  % (8845)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)
% 0.59/0.79  % (8846)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)
% 0.59/0.79  % (8846)Refutation not found, incomplete strategy% (8846)------------------------------
% 0.59/0.79  % (8846)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.79  % (8846)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.79  
% 0.59/0.79  % (8846)Memory used [KB]: 971
% 0.59/0.79  % (8846)Time elapsed: 0.003 s
% 0.59/0.79  % (8846)Instructions burned: 2 (million)
% 0.59/0.79  % (8846)------------------------------
% 0.59/0.79  % (8846)------------------------------
% 0.59/0.79  % (8843)Refutation not found, incomplete strategy% (8843)------------------------------
% 0.59/0.79  % (8843)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.79  % (8843)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.79  
% 0.59/0.79  % (8843)Memory used [KB]: 975
% 0.59/0.79  % (8843)Time elapsed: 0.003 s
% 0.59/0.79  % (8843)Instructions burned: 3 (million)
% 0.59/0.79  % (8843)------------------------------
% 0.59/0.79  % (8843)------------------------------
% 0.59/0.79  % (8842)Refutation not found, incomplete strategy% (8842)------------------------------
% 0.59/0.79  % (8842)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.79  % (8842)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.79  
% 0.59/0.79  % (8842)Memory used [KB]: 978
% 0.59/0.79  % (8842)Time elapsed: 0.003 s
% 0.59/0.79  % (8839)Refutation not found, incomplete strategy% (8839)------------------------------
% 0.59/0.79  % (8839)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.79  % (8839)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.79  
% 0.59/0.79  % (8842)Instructions burned: 3 (million)
% 0.59/0.79  % (8839)Memory used [KB]: 972
% 0.59/0.79  % (8842)------------------------------
% 0.59/0.79  % (8842)------------------------------
% 0.59/0.79  % (8839)Time elapsed: 0.004 s
% 0.59/0.79  % (8839)Instructions burned: 4 (million)
% 0.59/0.79  % (8839)------------------------------
% 0.59/0.79  % (8839)------------------------------
% 0.59/0.79  % (8845)First to succeed.
% 0.59/0.80  % (8844)Also succeeded, but the first one will report.
% 0.59/0.80  % (8845)Refutation found. Thanks to Tanya!
% 0.59/0.80  % SZS status Theorem for Vampire---4
% 0.59/0.80  % SZS output start Proof for Vampire---4
% See solution above
% 0.59/0.80  % (8845)------------------------------
% 0.59/0.80  % (8845)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.80  % (8845)Termination reason: Refutation
% 0.59/0.80  
% 0.59/0.80  % (8845)Memory used [KB]: 979
% 0.59/0.80  % (8845)Time elapsed: 0.004 s
% 0.59/0.80  % (8845)Instructions burned: 4 (million)
% 0.59/0.80  % (8845)------------------------------
% 0.59/0.80  % (8845)------------------------------
% 0.59/0.80  % (8837)Success in time 0.478 s
% 0.59/0.80  % Vampire---4.8 exiting
%------------------------------------------------------------------------------