TSTP Solution File: GEO082+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GEO082+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 : 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 02:21:43 EDT 2024

% Result   : Theorem 0.58s 0.74s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   22 (   7 unt;   0 def)
%            Number of atoms       :   50 (  12 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   40 (  12   ~;  12   |;   7   &)
%                                         (   3 <=>;   5  =>;   0  <=;   1 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :   31 (  26   !;   5   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f325,plain,
    $false,
    inference(subsumption_resolution,[],[f312,f314]) ).

fof(f314,plain,
    incident_c(sK2(sK0,sK1),sK1),
    inference(unit_resulting_resolution,[],[f45,f288,f62]) ).

fof(f62,plain,
    ! [X2,X0,X1] :
      ( ~ part_of(X1,X0)
      | incident_c(X2,X0)
      | ~ incident_c(X2,X1) ),
    inference(cnf_transformation,[],[f40]) ).

fof(f40,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.RCTazd4NmU/Vampire---4.8_15472',part_of_defn) ).

fof(f288,plain,
    incident_c(sK2(sK0,sK1),sK0),
    inference(subsumption_resolution,[],[f283,f47]) ).

fof(f47,plain,
    sK0 != sK1,
    inference(cnf_transformation,[],[f31]) ).

fof(f31,plain,
    ? [X0,X1] :
      ( X0 != X1
      & part_of(X1,X0)
      & part_of(X0,X1) ),
    inference(flattening,[],[f30]) ).

fof(f30,plain,
    ? [X0,X1] :
      ( X0 != X1
      & part_of(X1,X0)
      & part_of(X0,X1) ),
    inference(ennf_transformation,[],[f19]) ).

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

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

fof(f17,conjecture,
    ! [X1,X3] :
      ( ( part_of(X3,X1)
        & part_of(X1,X3) )
     => X1 = X3 ),
    file('/export/starexec/sandbox/tmp/tmp.RCTazd4NmU/Vampire---4.8_15472',part_of_antisymmetry) ).

fof(f283,plain,
    ( incident_c(sK2(sK0,sK1),sK0)
    | sK0 = sK1 ),
    inference(factoring,[],[f149]) ).

fof(f149,plain,
    ! [X0] :
      ( incident_c(sK2(X0,sK1),sK0)
      | incident_c(sK2(X0,sK1),X0)
      | sK1 = X0 ),
    inference(resolution,[],[f102,f48]) ).

fof(f48,plain,
    ! [X0,X1] :
      ( incident_c(sK2(X0,X1),X1)
      | incident_c(sK2(X0,X1),X0)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f32]) ).

fof(f32,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ? [X2] :
          ( incident_c(X2,X0)
        <~> incident_c(X2,X1) ) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f16,axiom,
    ! [X0,X1] :
      ( ! [X2] :
          ( incident_c(X2,X0)
        <=> incident_c(X2,X1) )
     => X0 = X1 ),
    file('/export/starexec/sandbox/tmp/tmp.RCTazd4NmU/Vampire---4.8_15472',c9) ).

fof(f102,plain,
    ! [X0] :
      ( ~ incident_c(X0,sK1)
      | incident_c(X0,sK0) ),
    inference(resolution,[],[f46,f62]) ).

fof(f46,plain,
    part_of(sK1,sK0),
    inference(cnf_transformation,[],[f31]) ).

fof(f45,plain,
    part_of(sK0,sK1),
    inference(cnf_transformation,[],[f31]) ).

fof(f312,plain,
    ~ incident_c(sK2(sK0,sK1),sK1),
    inference(unit_resulting_resolution,[],[f47,f288,f49]) ).

fof(f49,plain,
    ! [X0,X1] :
      ( ~ incident_c(sK2(X0,X1),X0)
      | ~ incident_c(sK2(X0,X1),X1)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f32]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : GEO082+1 : TPTP v8.1.2. Released v2.4.0.
% 0.03/0.15  % 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
% 0.16/0.35  % Computer : n003.cluster.edu
% 0.16/0.35  % Model    : x86_64 x86_64
% 0.16/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35  % Memory   : 8042.1875MB
% 0.16/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.35  % CPULimit   : 300
% 0.16/0.35  % WCLimit    : 300
% 0.16/0.35  % DateTime   : Tue Apr 30 19:01:04 EDT 2024
% 0.16/0.36  % CPUTime    : 
% 0.16/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.16/0.36  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.RCTazd4NmU/Vampire---4.8_15472
% 0.52/0.74  % (15742)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)
% 0.52/0.74  % (15736)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)
% 0.52/0.74  % (15739)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)
% 0.52/0.74  % (15737)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)
% 0.52/0.74  % (15738)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.52/0.74  % (15740)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)
% 0.52/0.74  % (15741)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)
% 0.52/0.74  % (15741)Refutation not found, incomplete strategy% (15741)------------------------------
% 0.52/0.74  % (15741)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.52/0.74  % (15741)Termination reason: Refutation not found, incomplete strategy
% 0.52/0.74  
% 0.52/0.74  % (15741)Memory used [KB]: 1034
% 0.52/0.74  % (15741)Time elapsed: 0.003 s
% 0.52/0.74  % (15741)Instructions burned: 3 (million)
% 0.52/0.74  % (15741)------------------------------
% 0.52/0.74  % (15741)------------------------------
% 0.52/0.74  % (15742)First to succeed.
% 0.58/0.74  % (15742)Refutation found. Thanks to Tanya!
% 0.58/0.74  % SZS status Theorem for Vampire---4
% 0.58/0.74  % SZS output start Proof for Vampire---4
% See solution above
% 0.58/0.74  % (15742)------------------------------
% 0.58/0.74  % (15742)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.74  % (15742)Termination reason: Refutation
% 0.58/0.74  
% 0.58/0.74  % (15742)Memory used [KB]: 1184
% 0.58/0.74  % (15742)Time elapsed: 0.006 s
% 0.58/0.74  % (15742)Instructions burned: 13 (million)
% 0.58/0.74  % (15742)------------------------------
% 0.58/0.74  % (15742)------------------------------
% 0.58/0.74  % (15732)Success in time 0.374 s
% 0.58/0.74  % Vampire---4.8 exiting
%------------------------------------------------------------------------------