TSTP Solution File: SET916+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET916+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 : n013.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 03:49:28 EDT 2024

% Result   : Theorem 0.60s 0.76s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   44 (  17 unt;   0 def)
%            Number of atoms       :   89 (  16 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   92 (  47   ~;  25   |;  14   &)
%                                         (   6 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   3 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   59 (  53   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f348,plain,
    $false,
    inference(avatar_sat_refutation,[],[f297,f320,f347]) ).

fof(f347,plain,
    ~ spl8_1,
    inference(avatar_contradiction_clause,[],[f346]) ).

fof(f346,plain,
    ( $false
    | ~ spl8_1 ),
    inference(subsumption_resolution,[],[f345,f21]) ).

fof(f21,plain,
    ~ disjoint(unordered_pair(sK0,sK2),sK1),
    inference(cnf_transformation,[],[f15]) ).

fof(f15,plain,
    ? [X0,X1,X2] :
      ( ~ disjoint(unordered_pair(X0,X2),X1)
      & ~ in(X2,X1)
      & ~ in(X0,X1) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f12,negated_conjecture,
    ~ ! [X0,X1,X2] :
        ~ ( ~ disjoint(unordered_pair(X0,X2),X1)
          & ~ in(X2,X1)
          & ~ in(X0,X1) ),
    inference(negated_conjecture,[],[f11]) ).

fof(f11,conjecture,
    ! [X0,X1,X2] :
      ~ ( ~ disjoint(unordered_pair(X0,X2),X1)
        & ~ in(X2,X1)
        & ~ in(X0,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.CRkohPJxN6/Vampire---4.8_26709',t57_zfmisc_1) ).

fof(f345,plain,
    ( disjoint(unordered_pair(sK0,sK2),sK1)
    | ~ spl8_1 ),
    inference(subsumption_resolution,[],[f334,f55]) ).

fof(f55,plain,
    ! [X0] : ~ in(sK0,set_intersection2(X0,sK1)),
    inference(unit_resulting_resolution,[],[f50,f47]) ).

fof(f47,plain,
    ! [X3,X0,X1] :
      ( ~ in(X3,set_intersection2(X0,X1))
      | sP6(X3,X1,X0) ),
    inference(equality_resolution,[],[f34]) ).

fof(f34,plain,
    ! [X2,X3,X0,X1] :
      ( sP6(X3,X1,X0)
      | ~ in(X3,X2)
      | set_intersection2(X0,X1) != X2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f5,axiom,
    ! [X0,X1,X2] :
      ( set_intersection2(X0,X1) = X2
    <=> ! [X3] :
          ( in(X3,X2)
        <=> ( in(X3,X1)
            & in(X3,X0) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.CRkohPJxN6/Vampire---4.8_26709',d3_xboole_0) ).

fof(f50,plain,
    ! [X0] : ~ sP6(sK0,sK1,X0),
    inference(unit_resulting_resolution,[],[f19,f32]) ).

fof(f32,plain,
    ! [X3,X0,X1] :
      ( ~ sP6(X3,X1,X0)
      | in(X3,X1) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f19,plain,
    ~ in(sK0,sK1),
    inference(cnf_transformation,[],[f15]) ).

fof(f334,plain,
    ( in(sK0,set_intersection2(unordered_pair(sK0,sK2),sK1))
    | disjoint(unordered_pair(sK0,sK2),sK1)
    | ~ spl8_1 ),
    inference(superposition,[],[f39,f292]) ).

fof(f292,plain,
    ( sK0 = sK7(unordered_pair(sK0,sK2),sK1)
    | ~ spl8_1 ),
    inference(avatar_component_clause,[],[f290]) ).

fof(f290,plain,
    ( spl8_1
  <=> sK0 = sK7(unordered_pair(sK0,sK2),sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_1])]) ).

fof(f39,plain,
    ! [X0,X1] :
      ( in(sK7(X0,X1),set_intersection2(X0,X1))
      | disjoint(X0,X1) ),
    inference(cnf_transformation,[],[f17]) ).

fof(f17,plain,
    ! [X0,X1] :
      ( ( ~ disjoint(X0,X1)
        | ! [X2] : ~ in(X2,set_intersection2(X0,X1)) )
      & ( ? [X3] : in(X3,set_intersection2(X0,X1))
        | disjoint(X0,X1) ) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f13,plain,
    ! [X0,X1] :
      ( ~ ( disjoint(X0,X1)
          & ? [X2] : in(X2,set_intersection2(X0,X1)) )
      & ~ ( ! [X3] : ~ in(X3,set_intersection2(X0,X1))
          & ~ disjoint(X0,X1) ) ),
    inference(rectify,[],[f10]) ).

fof(f10,axiom,
    ! [X0,X1] :
      ( ~ ( disjoint(X0,X1)
          & ? [X2] : in(X2,set_intersection2(X0,X1)) )
      & ~ ( ! [X2] : ~ in(X2,set_intersection2(X0,X1))
          & ~ disjoint(X0,X1) ) ),
    file('/export/starexec/sandbox/tmp/tmp.CRkohPJxN6/Vampire---4.8_26709',t4_xboole_0) ).

fof(f320,plain,
    ~ spl8_2,
    inference(avatar_contradiction_clause,[],[f319]) ).

fof(f319,plain,
    ( $false
    | ~ spl8_2 ),
    inference(subsumption_resolution,[],[f318,f21]) ).

fof(f318,plain,
    ( disjoint(unordered_pair(sK0,sK2),sK1)
    | ~ spl8_2 ),
    inference(subsumption_resolution,[],[f307,f59]) ).

fof(f59,plain,
    ! [X0] : ~ in(sK2,set_intersection2(X0,sK1)),
    inference(unit_resulting_resolution,[],[f52,f47]) ).

fof(f52,plain,
    ! [X0] : ~ sP6(sK2,sK1,X0),
    inference(unit_resulting_resolution,[],[f20,f32]) ).

fof(f20,plain,
    ~ in(sK2,sK1),
    inference(cnf_transformation,[],[f15]) ).

fof(f307,plain,
    ( in(sK2,set_intersection2(unordered_pair(sK0,sK2),sK1))
    | disjoint(unordered_pair(sK0,sK2),sK1)
    | ~ spl8_2 ),
    inference(superposition,[],[f39,f296]) ).

fof(f296,plain,
    ( sK2 = sK7(unordered_pair(sK0,sK2),sK1)
    | ~ spl8_2 ),
    inference(avatar_component_clause,[],[f294]) ).

fof(f294,plain,
    ( spl8_2
  <=> sK2 = sK7(unordered_pair(sK0,sK2),sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl8_2])]) ).

fof(f297,plain,
    ( spl8_1
    | spl8_2 ),
    inference(avatar_split_clause,[],[f288,f294,f290]) ).

fof(f288,plain,
    ( sK2 = sK7(unordered_pair(sK0,sK2),sK1)
    | sK0 = sK7(unordered_pair(sK0,sK2),sK1) ),
    inference(resolution,[],[f232,f24]) ).

fof(f24,plain,
    ! [X3,X0,X1] :
      ( ~ sP4(X3,X1,X0)
      | X1 = X3
      | X0 = X3 ),
    inference(cnf_transformation,[],[f4]) ).

fof(f4,axiom,
    ! [X0,X1,X2] :
      ( unordered_pair(X0,X1) = X2
    <=> ! [X3] :
          ( in(X3,X2)
        <=> ( X1 = X3
            | X0 = X3 ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.CRkohPJxN6/Vampire---4.8_26709',d2_tarski) ).

fof(f232,plain,
    sP4(sK7(unordered_pair(sK0,sK2),sK1),sK2,sK0),
    inference(unit_resulting_resolution,[],[f134,f43]) ).

fof(f43,plain,
    ! [X3,X0,X1] :
      ( ~ in(X3,unordered_pair(X0,X1))
      | sP4(X3,X1,X0) ),
    inference(equality_resolution,[],[f26]) ).

fof(f26,plain,
    ! [X2,X3,X0,X1] :
      ( sP4(X3,X1,X0)
      | ~ in(X3,X2)
      | unordered_pair(X0,X1) != X2 ),
    inference(cnf_transformation,[],[f4]) ).

fof(f134,plain,
    in(sK7(unordered_pair(sK0,sK2),sK1),unordered_pair(sK0,sK2)),
    inference(unit_resulting_resolution,[],[f115,f32]) ).

fof(f115,plain,
    sP6(sK7(unordered_pair(sK0,sK2),sK1),unordered_pair(sK0,sK2),sK1),
    inference(unit_resulting_resolution,[],[f63,f47]) ).

fof(f63,plain,
    in(sK7(unordered_pair(sK0,sK2),sK1),set_intersection2(sK1,unordered_pair(sK0,sK2))),
    inference(forward_demodulation,[],[f62,f42]) ).

fof(f42,plain,
    ! [X0,X1] : set_intersection2(X0,X1) = set_intersection2(X1,X0),
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0,X1] : set_intersection2(X0,X1) = set_intersection2(X1,X0),
    file('/export/starexec/sandbox/tmp/tmp.CRkohPJxN6/Vampire---4.8_26709',commutativity_k3_xboole_0) ).

fof(f62,plain,
    in(sK7(unordered_pair(sK0,sK2),sK1),set_intersection2(unordered_pair(sK0,sK2),sK1)),
    inference(unit_resulting_resolution,[],[f21,f39]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.14  % Problem    : SET916+1 : TPTP v8.1.2. Released v3.2.0.
% 0.14/0.15  % 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
% 0.16/0.37  % Computer : n013.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit   : 300
% 0.16/0.37  % WCLimit    : 300
% 0.16/0.37  % DateTime   : Tue Apr 30 17:15:34 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.CRkohPJxN6/Vampire---4.8_26709
% 0.57/0.76  % (26967)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)
% 0.57/0.76  % (26961)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)
% 0.57/0.76  % (26964)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)
% 0.57/0.76  % (26963)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.76  % (26962)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)
% 0.57/0.76  % (26965)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)
% 0.57/0.76  % (26966)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)
% 0.57/0.76  % (26965)Refutation not found, incomplete strategy% (26965)------------------------------
% 0.57/0.76  % (26965)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.76  % (26965)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76  
% 0.57/0.76  % (26965)Memory used [KB]: 1040
% 0.57/0.76  % (26965)Time elapsed: 0.003 s
% 0.57/0.76  % (26965)Instructions burned: 3 (million)
% 0.57/0.76  % (26965)------------------------------
% 0.57/0.76  % (26965)------------------------------
% 0.57/0.76  % (26966)Refutation not found, incomplete strategy% (26966)------------------------------
% 0.57/0.76  % (26966)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.76  % (26966)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76  
% 0.57/0.76  % (26966)Memory used [KB]: 1036
% 0.57/0.76  % (26966)Time elapsed: 0.003 s
% 0.57/0.76  % (26966)Instructions burned: 3 (million)
% 0.57/0.76  % (26966)------------------------------
% 0.57/0.76  % (26966)------------------------------
% 0.57/0.76  % (26964)Refutation not found, incomplete strategy% (26964)------------------------------
% 0.57/0.76  % (26964)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.76  % (26964)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76  
% 0.57/0.76  % (26964)Memory used [KB]: 1041
% 0.57/0.76  % (26964)Time elapsed: 0.004 s
% 0.57/0.76  % (26964)Instructions burned: 4 (million)
% 0.57/0.76  % (26964)------------------------------
% 0.57/0.76  % (26964)------------------------------
% 0.57/0.76  % (26967)First to succeed.
% 0.60/0.76  % (26967)Refutation found. Thanks to Tanya!
% 0.60/0.76  % SZS status Theorem for Vampire---4
% 0.60/0.76  % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.76  % (26967)------------------------------
% 0.60/0.76  % (26967)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.76  % (26967)Termination reason: Refutation
% 0.60/0.76  
% 0.60/0.76  % (26967)Memory used [KB]: 1080
% 0.60/0.76  % (26967)Time elapsed: 0.006 s
% 0.60/0.76  % (26967)Instructions burned: 12 (million)
% 0.60/0.76  % (26967)------------------------------
% 0.60/0.76  % (26967)------------------------------
% 0.60/0.76  % (26957)Success in time 0.378 s
% 0.60/0.76  terminate called after throwing an instance of 'Lib::SystemFailException'
% 0.60/0.76  26957 Aborted by signal SIGABRT on /export/starexec/sandbox/tmp/tmp.CRkohPJxN6/Vampire---4.8_26709
% 0.60/0.76  % (26957)------------------------------
% 0.60/0.76  % (26957)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.76  % (26957)Termination reason: Unknown
% 0.60/0.76  % (26957)Termination phase: Unknown
% 0.60/0.76  
% 0.60/0.76  % (26957)Memory used [KB]: 440
% 0.60/0.76  % (26957)Time elapsed: 0.378 s
% 0.60/0.76  % (26957)Instructions burned: 953 (million)
% 0.60/0.76  % (26957)------------------------------
% 0.60/0.76  % (26957)------------------------------
% 0.60/0.76  Version : Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.76  ???
% 0.60/0.76   ???
% 0.60/0.76    ???
% 0.60/0.76     ???
% 0.60/0.76      ???
% 0.60/0.76       ???
% 0.60/0.76        ???
% 0.60/0.76         ???
% 0.60/0.76          ???
% 0.60/0.76           ???
% 0.60/0.76            ???
% 0.60/0.76             ???
% 0.60/0.76              ???
% 0.60/0.76               ???
% 0.60/0.76                ???
% 0.60/0.76                 ???
% 0.60/0.76                  ???
% 0.60/0.76                   ???
% 0.60/0.76                    ???
% 0.60/0.76                     ???
% 0.60/0.76  % Vampire---4.8 exiting
%------------------------------------------------------------------------------