TSTP Solution File: GEO081+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GEO081+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n021.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 02:21:42 EDT 2024

% Result   : Theorem 0.61s 0.77s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   24 (   8 unt;   0 def)
%            Number of atoms       :   67 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   68 (  25   ~;  14   |;  21   &)
%                                         (   2 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   45 (  33   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f62,plain,
    $false,
    inference(subsumption_resolution,[],[f58,f55]) ).

fof(f55,plain,
    incident_c(sK5(sK2,sK0),sK1),
    inference(unit_resulting_resolution,[],[f38,f51,f48]) ).

fof(f48,plain,
    ! [X3,X0,X1] :
      ( incident_c(X3,X0)
      | ~ incident_c(X3,X1)
      | ~ part_of(X1,X0) ),
    inference(cnf_transformation,[],[f37]) ).

fof(f37,plain,
    ! [X0,X1] :
      ( ( part_of(X1,X0)
        | ( ~ incident_c(sK5(X0,X1),X0)
          & incident_c(sK5(X0,X1),X1) ) )
      & ( ! [X3] :
            ( incident_c(X3,X0)
            | ~ incident_c(X3,X1) )
        | ~ part_of(X1,X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f35,f36]) ).

fof(f36,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ~ incident_c(X2,X0)
          & incident_c(X2,X1) )
     => ( ~ incident_c(sK5(X0,X1),X0)
        & incident_c(sK5(X0,X1),X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f35,plain,
    ! [X0,X1] :
      ( ( part_of(X1,X0)
        | ? [X2] :
            ( ~ incident_c(X2,X0)
            & incident_c(X2,X1) ) )
      & ( ! [X3] :
            ( incident_c(X3,X0)
            | ~ incident_c(X3,X1) )
        | ~ part_of(X1,X0) ) ),
    inference(rectify,[],[f34]) ).

fof(f34,plain,
    ! [X0,X1] :
      ( ( part_of(X1,X0)
        | ? [X2] :
            ( ~ incident_c(X2,X0)
            & incident_c(X2,X1) ) )
      & ( ! [X2] :
            ( incident_c(X2,X0)
            | ~ incident_c(X2,X1) )
        | ~ part_of(X1,X0) ) ),
    inference(nnf_transformation,[],[f29]) ).

fof(f29,plain,
    ! [X0,X1] :
      ( part_of(X1,X0)
    <=> ! [X2] :
          ( incident_c(X2,X0)
          | ~ incident_c(X2,X1) ) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( part_of(X1,X0)
    <=> ! [X2] :
          ( incident_c(X2,X1)
         => incident_c(X2,X0) ) ),
    file('/export/starexec/sandbox/tmp/tmp.qH6uKdv4Nv/Vampire---4.8_23380',part_of_defn) ).

fof(f51,plain,
    incident_c(sK5(sK2,sK0),sK0),
    inference(unit_resulting_resolution,[],[f40,f49]) ).

fof(f49,plain,
    ! [X0,X1] :
      ( incident_c(sK5(X0,X1),X1)
      | part_of(X1,X0) ),
    inference(cnf_transformation,[],[f37]) ).

fof(f40,plain,
    ~ part_of(sK0,sK2),
    inference(cnf_transformation,[],[f31]) ).

fof(f31,plain,
    ( ~ part_of(sK0,sK2)
    & part_of(sK1,sK2)
    & part_of(sK0,sK1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f24,f30]) ).

fof(f30,plain,
    ( ? [X0,X1,X2] :
        ( ~ part_of(X0,X2)
        & part_of(X1,X2)
        & part_of(X0,X1) )
   => ( ~ part_of(sK0,sK2)
      & part_of(sK1,sK2)
      & part_of(sK0,sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f24,plain,
    ? [X0,X1,X2] :
      ( ~ part_of(X0,X2)
      & part_of(X1,X2)
      & part_of(X0,X1) ),
    inference(flattening,[],[f23]) ).

fof(f23,plain,
    ? [X0,X1,X2] :
      ( ~ part_of(X0,X2)
      & part_of(X1,X2)
      & part_of(X0,X1) ),
    inference(ennf_transformation,[],[f19]) ).

fof(f19,plain,
    ~ ! [X0,X1,X2] :
        ( ( part_of(X1,X2)
          & part_of(X0,X1) )
       => part_of(X0,X2) ),
    inference(rectify,[],[f18]) ).

fof(f18,negated_conjecture,
    ~ ! [X1,X3,X5] :
        ( ( part_of(X3,X5)
          & part_of(X1,X3) )
       => part_of(X1,X5) ),
    inference(negated_conjecture,[],[f17]) ).

fof(f17,conjecture,
    ! [X1,X3,X5] :
      ( ( part_of(X3,X5)
        & part_of(X1,X3) )
     => part_of(X1,X5) ),
    file('/export/starexec/sandbox/tmp/tmp.qH6uKdv4Nv/Vampire---4.8_23380',part_of_transitivity) ).

fof(f38,plain,
    part_of(sK0,sK1),
    inference(cnf_transformation,[],[f31]) ).

fof(f58,plain,
    ~ incident_c(sK5(sK2,sK0),sK1),
    inference(unit_resulting_resolution,[],[f39,f52,f48]) ).

fof(f52,plain,
    ~ incident_c(sK5(sK2,sK0),sK2),
    inference(unit_resulting_resolution,[],[f40,f50]) ).

fof(f50,plain,
    ! [X0,X1] :
      ( ~ incident_c(sK5(X0,X1),X0)
      | part_of(X1,X0) ),
    inference(cnf_transformation,[],[f37]) ).

fof(f39,plain,
    part_of(sK1,sK2),
    inference(cnf_transformation,[],[f31]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : GEO081+1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.15  % 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 : n021.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 18:59:41 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.qH6uKdv4Nv/Vampire---4.8_23380
% 0.55/0.76  % (23665)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  % (23660)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  % (23661)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  % (23662)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  % (23663)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  % (23659)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  % (23664)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  % (23662)First to succeed.
% 0.61/0.77  % (23665)Also succeeded, but the first one will report.
% 0.61/0.77  % (23663)Refutation not found, incomplete strategy% (23663)------------------------------
% 0.61/0.77  % (23663)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.77  % (23663)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.77  
% 0.61/0.77  % (23663)Memory used [KB]: 1066
% 0.61/0.77  % (23663)Time elapsed: 0.004 s
% 0.61/0.77  % (23663)Instructions burned: 4 (million)
% 0.61/0.77  % (23663)------------------------------
% 0.61/0.77  % (23663)------------------------------
% 0.61/0.77  % (23664)Refutation not found, incomplete strategy% (23664)------------------------------
% 0.61/0.77  % (23664)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.77  % (23664)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.77  
% 0.61/0.77  % (23664)Memory used [KB]: 1034
% 0.61/0.77  % (23664)Time elapsed: 0.004 s
% 0.61/0.77  % (23664)Instructions burned: 3 (million)
% 0.61/0.77  % (23664)------------------------------
% 0.61/0.77  % (23664)------------------------------
% 0.61/0.77  % (23662)Refutation found. Thanks to Tanya!
% 0.61/0.77  % SZS status Theorem for Vampire---4
% 0.61/0.77  % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.77  % (23662)------------------------------
% 0.61/0.77  % (23662)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.77  % (23662)Termination reason: Refutation
% 0.61/0.77  
% 0.61/0.77  % (23662)Memory used [KB]: 1053
% 0.61/0.77  % (23662)Time elapsed: 0.004 s
% 0.61/0.77  % (23662)Instructions burned: 3 (million)
% 0.61/0.77  % (23662)------------------------------
% 0.61/0.77  % (23662)------------------------------
% 0.61/0.77  % (23655)Success in time 0.388 s
% 0.61/0.77  % Vampire---4.8 exiting
%------------------------------------------------------------------------------