TSTP Solution File: SEU120+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEU120+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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n026.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 : Sun May  5 09:20:19 EDT 2024

% Result   : Theorem 0.61s 0.76s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   35 (   2 unt;   0 def)
%            Number of atoms       :   80 (   9 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   92 (  47   ~;  29   |;  11   &)
%                                         (   5 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   4 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :   32 (  26   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f80,plain,
    $false,
    inference(avatar_sat_refutation,[],[f42,f46,f47,f59,f61,f79]) ).

fof(f79,plain,
    ( ~ spl6_1
    | ~ spl6_2 ),
    inference(avatar_contradiction_clause,[],[f78]) ).

fof(f78,plain,
    ( $false
    | ~ spl6_1
    | ~ spl6_2 ),
    inference(subsumption_resolution,[],[f77,f33]) ).

fof(f33,plain,
    ! [X1] : ~ in(X1,empty_set),
    inference(equality_resolution,[],[f27]) ).

fof(f27,plain,
    ! [X0,X1] :
      ( ~ in(X1,X0)
      | empty_set != X0 ),
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0] :
      ( empty_set = X0
    <=> ! [X1] : ~ in(X1,X0) ),
    file('/export/starexec/sandbox/tmp/tmp.J2k3SkWNo3/Vampire---4.8_19197',d1_xboole_0) ).

fof(f77,plain,
    ( in(sK2,empty_set)
    | ~ spl6_1
    | ~ spl6_2 ),
    inference(superposition,[],[f37,f63]) ).

fof(f63,plain,
    ( empty_set = set_intersection2(sK0,sK1)
    | ~ spl6_2 ),
    inference(unit_resulting_resolution,[],[f40,f24]) ).

fof(f24,plain,
    ! [X0,X1] :
      ( ~ disjoint(X0,X1)
      | set_intersection2(X0,X1) = empty_set ),
    inference(cnf_transformation,[],[f4]) ).

fof(f4,axiom,
    ! [X0,X1] :
      ( disjoint(X0,X1)
    <=> set_intersection2(X0,X1) = empty_set ),
    file('/export/starexec/sandbox/tmp/tmp.J2k3SkWNo3/Vampire---4.8_19197',d7_xboole_0) ).

fof(f40,plain,
    ( disjoint(sK0,sK1)
    | ~ spl6_2 ),
    inference(avatar_component_clause,[],[f39]) ).

fof(f39,plain,
    ( spl6_2
  <=> disjoint(sK0,sK1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_2])]) ).

fof(f37,plain,
    ( in(sK2,set_intersection2(sK0,sK1))
    | ~ spl6_1 ),
    inference(avatar_component_clause,[],[f35]) ).

fof(f35,plain,
    ( spl6_1
  <=> in(sK2,set_intersection2(sK0,sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_1])]) ).

fof(f61,plain,
    ( ~ spl6_1
    | ~ spl6_3 ),
    inference(avatar_contradiction_clause,[],[f60]) ).

fof(f60,plain,
    ( $false
    | ~ spl6_1
    | ~ spl6_3 ),
    inference(subsumption_resolution,[],[f37,f45]) ).

fof(f45,plain,
    ( ! [X3] : ~ in(X3,set_intersection2(sK0,sK1))
    | ~ spl6_3 ),
    inference(avatar_component_clause,[],[f44]) ).

fof(f44,plain,
    ( spl6_3
  <=> ! [X3] : ~ in(X3,set_intersection2(sK0,sK1)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_3])]) ).

fof(f59,plain,
    ( spl6_2
    | ~ spl6_3 ),
    inference(avatar_contradiction_clause,[],[f58]) ).

fof(f58,plain,
    ( $false
    | spl6_2
    | ~ spl6_3 ),
    inference(subsumption_resolution,[],[f55,f49]) ).

fof(f49,plain,
    ( empty_set != set_intersection2(sK0,sK1)
    | spl6_2 ),
    inference(unit_resulting_resolution,[],[f41,f23]) ).

fof(f23,plain,
    ! [X0,X1] :
      ( disjoint(X0,X1)
      | set_intersection2(X0,X1) != empty_set ),
    inference(cnf_transformation,[],[f4]) ).

fof(f41,plain,
    ( ~ disjoint(sK0,sK1)
    | spl6_2 ),
    inference(avatar_component_clause,[],[f39]) ).

fof(f55,plain,
    ( empty_set = set_intersection2(sK0,sK1)
    | ~ spl6_3 ),
    inference(resolution,[],[f45,f26]) ).

fof(f26,plain,
    ! [X0] :
      ( in(sK3(X0),X0)
      | empty_set = X0 ),
    inference(cnf_transformation,[],[f3]) ).

fof(f47,plain,
    ( spl6_1
    | spl6_3 ),
    inference(avatar_split_clause,[],[f19,f44,f35]) ).

fof(f19,plain,
    ! [X3] :
      ( ~ in(X3,set_intersection2(sK0,sK1))
      | in(sK2,set_intersection2(sK0,sK1)) ),
    inference(cnf_transformation,[],[f16]) ).

fof(f16,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,[],[f14]) ).

fof(f14,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,[],[f13]) ).

fof(f13,negated_conjecture,
    ~ ! [X0,X1] :
        ( ~ ( disjoint(X0,X1)
            & ? [X2] : in(X2,set_intersection2(X0,X1)) )
        & ~ ( ! [X2] : ~ in(X2,set_intersection2(X0,X1))
            & ~ disjoint(X0,X1) ) ),
    inference(negated_conjecture,[],[f12]) ).

fof(f12,conjecture,
    ! [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.J2k3SkWNo3/Vampire---4.8_19197',t4_xboole_0) ).

fof(f46,plain,
    ( spl6_2
    | spl6_3 ),
    inference(avatar_split_clause,[],[f20,f44,f39]) ).

fof(f20,plain,
    ! [X3] :
      ( ~ in(X3,set_intersection2(sK0,sK1))
      | disjoint(sK0,sK1) ),
    inference(cnf_transformation,[],[f16]) ).

fof(f42,plain,
    ( spl6_1
    | ~ spl6_2 ),
    inference(avatar_split_clause,[],[f21,f39,f35]) ).

fof(f21,plain,
    ( ~ disjoint(sK0,sK1)
    | in(sK2,set_intersection2(sK0,sK1)) ),
    inference(cnf_transformation,[],[f16]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.14  % Problem    : SEU120+1 : TPTP v8.1.2. Released v3.3.0.
% 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
% 0.15/0.37  % Computer : n026.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit   : 300
% 0.15/0.37  % WCLimit    : 300
% 0.15/0.37  % DateTime   : Fri May  3 11:51:06 EDT 2024
% 0.15/0.37  % CPUTime    : 
% 0.15/0.37  This is a FOF_THM_RFO_SEQ problem
% 0.15/0.37  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.J2k3SkWNo3/Vampire---4.8_19197
% 0.61/0.76  % (19560)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)
% 0.61/0.76  % (19553)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)
% 0.61/0.76  % (19555)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.61/0.76  % (19560)Refutation not found, incomplete strategy% (19560)------------------------------
% 0.61/0.76  % (19560)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.76  % (19560)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76  % (19556)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)
% 0.61/0.76  % (19557)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)
% 0.61/0.76  
% 0.61/0.76  % (19560)Memory used [KB]: 977
% 0.61/0.76  % (19560)Time elapsed: 0.002 s
% 0.61/0.76  % (19560)Instructions burned: 2 (million)
% 0.61/0.76  % (19558)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)
% 0.61/0.76  % (19559)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)
% 0.61/0.76  % (19554)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)
% 0.61/0.76  % (19560)------------------------------
% 0.61/0.76  % (19560)------------------------------
% 0.61/0.76  % (19557)Refutation not found, incomplete strategy% (19557)------------------------------
% 0.61/0.76  % (19557)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.76  % (19557)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76  
% 0.61/0.76  % (19557)Memory used [KB]: 978
% 0.61/0.76  % (19557)Time elapsed: 0.003 s
% 0.61/0.76  % (19557)Instructions burned: 2 (million)
% 0.61/0.76  % (19553)Refutation not found, incomplete strategy% (19553)------------------------------
% 0.61/0.76  % (19553)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.76  % (19553)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76  
% 0.61/0.76  % (19553)Memory used [KB]: 987
% 0.61/0.76  % (19553)Time elapsed: 0.003 s
% 0.61/0.76  % (19553)Instructions burned: 3 (million)
% 0.61/0.76  % (19558)Refutation not found, incomplete strategy% (19558)------------------------------
% 0.61/0.76  % (19558)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.76  % (19558)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76  
% 0.61/0.76  % (19558)Memory used [KB]: 977
% 0.61/0.76  % (19558)Time elapsed: 0.003 s
% 0.61/0.76  % (19558)Instructions burned: 2 (million)
% 0.61/0.76  % (19557)------------------------------
% 0.61/0.76  % (19557)------------------------------
% 0.61/0.76  % (19553)------------------------------
% 0.61/0.76  % (19553)------------------------------
% 0.61/0.76  % (19558)------------------------------
% 0.61/0.76  % (19558)------------------------------
% 0.61/0.76  % (19559)First to succeed.
% 0.61/0.76  % (19555)Also succeeded, but the first one will report.
% 0.61/0.76  % (19556)Also succeeded, but the first one will report.
% 0.61/0.76  % (19554)Also succeeded, but the first one will report.
% 0.61/0.76  % (19559)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-19450"
% 0.61/0.76  % (19559)Refutation found. Thanks to Tanya!
% 0.61/0.76  % SZS status Theorem for Vampire---4
% 0.61/0.76  % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.76  % (19559)------------------------------
% 0.61/0.76  % (19559)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.76  % (19559)Termination reason: Refutation
% 0.61/0.76  
% 0.61/0.76  % (19559)Memory used [KB]: 998
% 0.61/0.76  % (19559)Time elapsed: 0.004 s
% 0.61/0.76  % (19559)Instructions burned: 4 (million)
% 0.61/0.76  % (19450)Success in time 0.381 s
% 0.61/0.76  % Vampire---4.8 exiting
%------------------------------------------------------------------------------