TSTP Solution File: SET873+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET873+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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n003.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 03:49:21 EDT 2024

% Result   : Theorem 0.56s 0.75s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   21 (  12 unt;   0 def)
%            Number of atoms       :   32 (  15 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   23 (  12   ~;   5   |;   1   &)
%                                         (   2 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   28 (  26   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f58,plain,
    $false,
    inference(subsumption_resolution,[],[f57,f34]) ).

fof(f34,plain,
    ! [X0] : subset(X0,X0),
    inference(cnf_transformation,[],[f14]) ).

fof(f14,plain,
    ! [X0] : subset(X0,X0),
    inference(rectify,[],[f10]) ).

fof(f10,axiom,
    ! [X0,X1] : subset(X0,X0),
    file('/export/starexec/sandbox/tmp/tmp.O39jsVKdjw/Vampire---4.8_12357',reflexivity_r1_tarski) ).

fof(f57,plain,
    ~ subset(singleton(sK0),singleton(sK0)),
    inference(forward_demodulation,[],[f56,f20]) ).

fof(f20,plain,
    singleton(sK0) = set_union2(singleton(sK0),singleton(sK1)),
    inference(cnf_transformation,[],[f15]) ).

fof(f15,plain,
    ? [X0,X1] :
      ( X0 != X1
      & singleton(X0) = set_union2(singleton(X0),singleton(X1)) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f12,negated_conjecture,
    ~ ! [X0,X1] :
        ( singleton(X0) = set_union2(singleton(X0),singleton(X1))
       => X0 = X1 ),
    inference(negated_conjecture,[],[f11]) ).

fof(f11,conjecture,
    ! [X0,X1] :
      ( singleton(X0) = set_union2(singleton(X0),singleton(X1))
     => X0 = X1 ),
    file('/export/starexec/sandbox/tmp/tmp.O39jsVKdjw/Vampire---4.8_12357',t13_zfmisc_1) ).

fof(f56,plain,
    ~ subset(set_union2(singleton(sK0),singleton(sK1)),singleton(sK0)),
    inference(forward_demodulation,[],[f55,f27]) ).

fof(f27,plain,
    ! [X0,X1] : set_union2(X0,X1) = set_union2(X1,X0),
    inference(cnf_transformation,[],[f2]) ).

fof(f2,axiom,
    ! [X0,X1] : set_union2(X0,X1) = set_union2(X1,X0),
    file('/export/starexec/sandbox/tmp/tmp.O39jsVKdjw/Vampire---4.8_12357',commutativity_k2_xboole_0) ).

fof(f55,plain,
    ~ subset(set_union2(singleton(sK1),singleton(sK0)),singleton(sK0)),
    inference(unit_resulting_resolution,[],[f38,f30]) ).

fof(f30,plain,
    ! [X0,X1] :
      ( ~ subset(set_union2(singleton(X0),X1),X1)
      | in(X0,X1) ),
    inference(cnf_transformation,[],[f18]) ).

fof(f18,plain,
    ! [X0,X1] :
      ( in(X0,X1)
      | ~ subset(set_union2(singleton(X0),X1),X1) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f7,axiom,
    ! [X0,X1] :
      ( subset(set_union2(singleton(X0),X1),X1)
     => in(X0,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.O39jsVKdjw/Vampire---4.8_12357',l21_zfmisc_1) ).

fof(f38,plain,
    ~ in(sK1,singleton(sK0)),
    inference(unit_resulting_resolution,[],[f21,f35]) ).

fof(f35,plain,
    ! [X2,X0] :
      ( ~ in(X2,singleton(X0))
      | X0 = X2 ),
    inference(equality_resolution,[],[f24]) ).

fof(f24,plain,
    ! [X2,X0,X1] :
      ( X0 = X2
      | ~ in(X2,X1)
      | singleton(X0) != X1 ),
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( singleton(X0) = X1
    <=> ! [X2] :
          ( in(X2,X1)
        <=> X0 = X2 ) ),
    file('/export/starexec/sandbox/tmp/tmp.O39jsVKdjw/Vampire---4.8_12357',d1_tarski) ).

fof(f21,plain,
    sK0 != sK1,
    inference(cnf_transformation,[],[f15]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : SET873+1 : TPTP v8.1.2. Released v3.2.0.
% 0.12/0.15  % 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
% 0.16/0.36  % Computer : n003.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Tue Apr 30 17:18:48 EDT 2024
% 0.16/0.37  % CPUTime    : 
% 0.16/0.37  This is a FOF_THM_RFO_SEQ problem
% 0.16/0.37  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.O39jsVKdjw/Vampire---4.8_12357
% 0.56/0.75  % (12623)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)
% 0.56/0.75  % (12622)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)
% 0.56/0.75  % (12618)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.75  % (12616)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)
% 0.56/0.75  % (12619)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)
% 0.56/0.75  % (12617)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)
% 0.56/0.75  % (12620)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)
% 0.56/0.75  % (12621)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)
% 0.56/0.75  % (12623)Refutation not found, incomplete strategy% (12623)------------------------------
% 0.56/0.75  % (12623)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.75  % (12623)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75  
% 0.56/0.75  % (12623)Memory used [KB]: 967
% 0.56/0.75  % (12623)Time elapsed: 0.002 s
% 0.56/0.75  % (12623)Instructions burned: 2 (million)
% 0.56/0.75  % (12623)------------------------------
% 0.56/0.75  % (12623)------------------------------
% 0.56/0.75  % (12621)Refutation not found, incomplete strategy% (12621)------------------------------
% 0.56/0.75  % (12621)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.75  % (12621)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75  
% 0.56/0.75  % (12621)Memory used [KB]: 955
% 0.56/0.75  % (12621)Time elapsed: 0.003 s
% 0.56/0.75  % (12621)Instructions burned: 2 (million)
% 0.56/0.75  % (12621)------------------------------
% 0.56/0.75  % (12621)------------------------------
% 0.56/0.75  % (12620)Refutation not found, incomplete strategy% (12620)------------------------------
% 0.56/0.75  % (12620)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.75  % (12620)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75  
% 0.56/0.75  % (12620)Memory used [KB]: 971
% 0.56/0.75  % (12620)Time elapsed: 0.003 s
% 0.56/0.75  % (12620)Instructions burned: 2 (million)
% 0.56/0.75  % (12620)------------------------------
% 0.56/0.75  % (12620)------------------------------
% 0.56/0.75  % (12616)Refutation not found, incomplete strategy% (12616)------------------------------
% 0.56/0.75  % (12616)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.75  % (12616)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75  
% 0.56/0.75  % (12616)Memory used [KB]: 971
% 0.56/0.75  % (12616)Time elapsed: 0.003 s
% 0.56/0.75  % (12619)Refutation not found, incomplete strategy% (12619)------------------------------
% 0.56/0.75  % (12619)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.75  % (12616)Instructions burned: 3 (million)
% 0.56/0.75  % (12619)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75  
% 0.56/0.75  % (12616)------------------------------
% 0.56/0.75  % (12616)------------------------------
% 0.56/0.75  % (12619)Memory used [KB]: 957
% 0.56/0.75  % (12619)Time elapsed: 0.003 s
% 0.56/0.75  % (12619)Instructions burned: 2 (million)
% 0.56/0.75  % (12619)------------------------------
% 0.56/0.75  % (12619)------------------------------
% 0.56/0.75  % (12622)First to succeed.
% 0.56/0.75  % (12617)Also succeeded, but the first one will report.
% 0.56/0.75  % (12622)Refutation found. Thanks to Tanya!
% 0.56/0.75  % SZS status Theorem for Vampire---4
% 0.56/0.75  % SZS output start Proof for Vampire---4
% See solution above
% 0.56/0.75  % (12622)------------------------------
% 0.56/0.75  % (12622)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.75  % (12622)Termination reason: Refutation
% 0.56/0.75  
% 0.56/0.75  % (12622)Memory used [KB]: 980
% 0.56/0.75  % (12622)Time elapsed: 0.004 s
% 0.56/0.75  % (12622)Instructions burned: 3 (million)
% 0.56/0.75  % (12622)------------------------------
% 0.56/0.75  % (12622)------------------------------
% 0.56/0.75  % (12612)Success in time 0.374 s
% 0.56/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------