TSTP Solution File: SET081+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET081+1 : TPTP v8.2.0. Bugfixed v5.4.0.
% 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 : n017.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 03:08:36 EDT 2024

% Result   : Theorem 0.49s 0.73s
% Output   : Refutation 0.49s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   18 (   7 unt;   0 def)
%            Number of atoms       :   48 (  26 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :   45 (  15   ~;  13   |;  12   &)
%                                         (   2 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   25 (  21   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f291,plain,
    $false,
    inference(subsumption_resolution,[],[f290,f119]) ).

fof(f119,plain,
    sK0 != sK1,
    inference(cnf_transformation,[],[f77]) ).

fof(f77,plain,
    ( sK0 != sK1
    & member(sK1,singleton(sK0)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f66,f76]) ).

fof(f76,plain,
    ( ? [X0,X1] :
        ( X0 != X1
        & member(X1,singleton(X0)) )
   => ( sK0 != sK1
      & member(sK1,singleton(sK0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f66,plain,
    ? [X0,X1] :
      ( X0 != X1
      & member(X1,singleton(X0)) ),
    inference(ennf_transformation,[],[f45]) ).

fof(f45,negated_conjecture,
    ~ ! [X0,X1] :
        ( member(X1,singleton(X0))
       => X0 = X1 ),
    inference(negated_conjecture,[],[f44]) ).

fof(f44,conjecture,
    ! [X0,X1] :
      ( member(X1,singleton(X0))
     => X0 = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',only_member_in_singleton) ).

fof(f290,plain,
    sK0 = sK1,
    inference(duplicate_literal_removal,[],[f288]) ).

fof(f288,plain,
    ( sK0 = sK1
    | sK0 = sK1 ),
    inference(resolution,[],[f164,f194]) ).

fof(f194,plain,
    member(sK1,unordered_pair(sK0,sK0)),
    inference(definition_unfolding,[],[f118,f129]) ).

fof(f129,plain,
    ! [X0] : singleton(X0) = unordered_pair(X0,X0),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X0] : singleton(X0) = unordered_pair(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singleton_set_defn) ).

fof(f118,plain,
    member(sK1,singleton(sK0)),
    inference(cnf_transformation,[],[f77]) ).

fof(f164,plain,
    ! [X2,X0,X1] :
      ( ~ member(X0,unordered_pair(X1,X2))
      | X0 = X1
      | X0 = X2 ),
    inference(cnf_transformation,[],[f101]) ).

fof(f101,plain,
    ! [X0,X1,X2] :
      ( ( member(X0,unordered_pair(X1,X2))
        | ( X0 != X2
          & X0 != X1 )
        | ~ member(X0,universal_class) )
      & ( ( ( X0 = X2
            | X0 = X1 )
          & member(X0,universal_class) )
        | ~ member(X0,unordered_pair(X1,X2)) ) ),
    inference(flattening,[],[f100]) ).

fof(f100,plain,
    ! [X0,X1,X2] :
      ( ( member(X0,unordered_pair(X1,X2))
        | ( X0 != X2
          & X0 != X1 )
        | ~ member(X0,universal_class) )
      & ( ( ( X0 = X2
            | X0 = X1 )
          & member(X0,universal_class) )
        | ~ member(X0,unordered_pair(X1,X2)) ) ),
    inference(nnf_transformation,[],[f61]) ).

fof(f61,plain,
    ! [X0,X1,X2] :
      ( member(X0,unordered_pair(X1,X2))
    <=> ( ( X0 = X2
          | X0 = X1 )
        & member(X0,universal_class) ) ),
    inference(rectify,[],[f4]) ).

fof(f4,axiom,
    ! [X2,X0,X1] :
      ( member(X2,unordered_pair(X0,X1))
    <=> ( ( X1 = X2
          | X0 = X2 )
        & member(X2,universal_class) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair_defn) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SET081+1 : TPTP v8.2.0. Bugfixed v5.4.0.
% 0.03/0.13  % 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
% 0.13/0.33  % Computer : n017.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon May 20 13:18:23 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.13/0.34  This is a FOF_THM_RFO_SEQ problem
% 0.13/0.34  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
% 0.49/0.72  % (2050)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)
% 0.49/0.72  % (2047)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)
% 0.49/0.72  % (2046)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)
% 0.49/0.72  % (2045)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.49/0.72  % (2044)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)
% 0.49/0.72  % (2048)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)
% 0.49/0.72  % (2050)Refutation not found, incomplete strategy% (2050)------------------------------
% 0.49/0.72  % (2050)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.49/0.72  % (2050)Termination reason: Refutation not found, incomplete strategy
% 0.49/0.72  
% 0.49/0.72  % (2050)Memory used [KB]: 1043
% 0.49/0.72  % (2050)Time elapsed: 0.001 s
% 0.49/0.72  % (2050)Instructions burned: 2 (million)
% 0.49/0.72  % (2049)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)
% 0.49/0.72  % (2050)------------------------------
% 0.49/0.72  % (2050)------------------------------
% 0.49/0.72  % (2046)Refutation not found, incomplete strategy% (2046)------------------------------
% 0.49/0.72  % (2046)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.49/0.72  % (2046)Termination reason: Refutation not found, incomplete strategy
% 0.49/0.72  
% 0.49/0.72  % (2046)Memory used [KB]: 979
% 0.49/0.72  % (2046)Time elapsed: 0.002 s
% 0.49/0.72  % (2048)Refutation not found, incomplete strategy% (2048)------------------------------
% 0.49/0.72  % (2048)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.49/0.72  % (2048)Termination reason: Refutation not found, incomplete strategy
% 0.49/0.72  
% 0.49/0.72  % (2048)Memory used [KB]: 979
% 0.49/0.72  % (2048)Time elapsed: 0.002 s
% 0.49/0.72  % (2048)Instructions burned: 2 (million)
% 0.49/0.72  % (2046)Instructions burned: 2 (million)
% 0.49/0.72  % (2048)------------------------------
% 0.49/0.72  % (2048)------------------------------
% 0.49/0.72  % (2046)------------------------------
% 0.49/0.72  % (2046)------------------------------
% 0.49/0.72  % (2049)Refutation not found, incomplete strategy% (2049)------------------------------
% 0.49/0.72  % (2049)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.49/0.72  % (2049)Termination reason: Refutation not found, incomplete strategy
% 0.49/0.72  
% 0.49/0.72  % (2049)Memory used [KB]: 1046
% 0.49/0.72  % (2049)Time elapsed: 0.003 s
% 0.49/0.72  % (2049)Instructions burned: 2 (million)
% 0.49/0.72  % (2049)------------------------------
% 0.49/0.72  % (2049)------------------------------
% 0.49/0.72  % (2043)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)
% 0.49/0.73  % (2051)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on theBenchmark for (2996ds/55Mi)
% 0.49/0.73  % (2051)Refutation not found, incomplete strategy% (2051)------------------------------
% 0.49/0.73  % (2051)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.49/0.73  % (2051)Termination reason: Refutation not found, incomplete strategy
% 0.49/0.73  
% 0.49/0.73  % (2051)Memory used [KB]: 979
% 0.49/0.73  % (2051)Time elapsed: 0.001 s
% 0.49/0.73  % (2051)Instructions burned: 2 (million)
% 0.49/0.73  % (2051)------------------------------
% 0.49/0.73  % (2051)------------------------------
% 0.49/0.73  % (2052)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on theBenchmark for (2996ds/50Mi)
% 0.49/0.73  % (2059)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on theBenchmark for (2996ds/52Mi)
% 0.49/0.73  % (2045)First to succeed.
% 0.49/0.73  % (2058)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2996ds/208Mi)
% 0.49/0.73  % (2045)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2042"
% 0.49/0.73  % (2058)Refutation not found, incomplete strategy% (2058)------------------------------
% 0.49/0.73  % (2058)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.49/0.73  % (2058)Termination reason: Refutation not found, incomplete strategy
% 0.49/0.73  
% 0.49/0.73  % (2058)Memory used [KB]: 1046
% 0.49/0.73  % (2058)Time elapsed: 0.002 s
% 0.49/0.73  % (2058)Instructions burned: 2 (million)
% 0.49/0.73  % (2058)------------------------------
% 0.49/0.73  % (2058)------------------------------
% 0.49/0.73  % (2045)Refutation found. Thanks to Tanya!
% 0.49/0.73  % SZS status Theorem for theBenchmark
% 0.49/0.73  % SZS output start Proof for theBenchmark
% See solution above
% 0.49/0.73  % (2045)------------------------------
% 0.49/0.73  % (2045)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.49/0.73  % (2045)Termination reason: Refutation
% 0.49/0.73  
% 0.49/0.73  % (2045)Memory used [KB]: 1176
% 0.49/0.73  % (2045)Time elapsed: 0.007 s
% 0.49/0.73  % (2045)Instructions burned: 11 (million)
% 0.49/0.73  % (2042)Success in time 0.385 s
% 0.49/0.73  % Vampire---4.8 exiting
%------------------------------------------------------------------------------