TSTP Solution File: GEO007-3 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GEO007-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% 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 : Sun May  5 05:08:33 EDT 2024

% Result   : Unsatisfiable 0.57s 0.73s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   31 (  12 unt;   0 def)
%            Number of atoms       :   62 (   3 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   62 (  31   ~;  28   |;   0   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   3 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   22 (  22   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f338,plain,
    $false,
    inference(avatar_sat_refutation,[],[f304,f317,f337]) ).

fof(f337,plain,
    spl1_1,
    inference(avatar_contradiction_clause,[],[f336]) ).

fof(f336,plain,
    ( $false
    | spl1_1 ),
    inference(subsumption_resolution,[],[f331,f80]) ).

fof(f80,axiom,
    between(d,a,c),
    file('/export/starexec/sandbox2/tmp/tmp.oxnObKofs0/Vampire---4.8_8708',a_between_a_and_c) ).

fof(f331,plain,
    ( ~ between(d,a,c)
    | spl1_1 ),
    inference(resolution,[],[f291,f47]) ).

fof(f47,axiom,
    ! [X3,X10,X5] :
      ( between(X5,X3,X10)
      | ~ between(X10,X3,X5) ),
    file('/export/starexec/sandbox2/tmp/tmp.oxnObKofs0/Vampire---4.8_8708',t1) ).

fof(f291,plain,
    ( ~ between(c,a,d)
    | spl1_1 ),
    inference(avatar_component_clause,[],[f289]) ).

fof(f289,plain,
    ( spl1_1
  <=> between(c,a,d) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).

fof(f317,plain,
    spl1_2,
    inference(avatar_contradiction_clause,[],[f316]) ).

fof(f316,plain,
    ( $false
    | spl1_2 ),
    inference(subsumption_resolution,[],[f311,f81]) ).

fof(f81,axiom,
    between(e,a,c),
    file('/export/starexec/sandbox2/tmp/tmp.oxnObKofs0/Vampire---4.8_8708',a_between_a_and_e) ).

fof(f311,plain,
    ( ~ between(e,a,c)
    | spl1_2 ),
    inference(resolution,[],[f295,f47]) ).

fof(f295,plain,
    ( ~ between(c,a,e)
    | spl1_2 ),
    inference(avatar_component_clause,[],[f293]) ).

fof(f293,plain,
    ( spl1_2
  <=> between(c,a,e) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).

fof(f304,plain,
    ( ~ spl1_2
    | ~ spl1_1 ),
    inference(avatar_split_clause,[],[f303,f289,f293]) ).

fof(f303,plain,
    ( ~ between(c,a,d)
    | ~ between(c,a,e) ),
    inference(subsumption_resolution,[],[f302,f48]) ).

fof(f48,axiom,
    ! [X3,X10] : between(X10,X10,X3),
    file('/export/starexec/sandbox2/tmp/tmp.oxnObKofs0/Vampire---4.8_8708',t2) ).

fof(f302,plain,
    ( ~ between(c,a,d)
    | ~ between(c,a,e)
    | ~ between(a,a,d) ),
    inference(subsumption_resolution,[],[f285,f111]) ).

fof(f111,plain,
    ~ between(a,e,d),
    inference(resolution,[],[f82,f47]) ).

fof(f82,axiom,
    ~ between(d,e,a),
    file('/export/starexec/sandbox2/tmp/tmp.oxnObKofs0/Vampire---4.8_8708',e_not_between_d_and_a) ).

fof(f285,plain,
    ( between(a,e,d)
    | ~ between(c,a,d)
    | ~ between(c,a,e)
    | ~ between(a,a,d) ),
    inference(resolution,[],[f97,f117]) ).

fof(f117,plain,
    ! [X0] :
      ( ~ between(X0,d,e)
      | ~ between(X0,a,d) ),
    inference(resolution,[],[f106,f54]) ).

fof(f54,axiom,
    ! [X3,X10,X0,X5] :
      ( between(X3,X5,X0)
      | ~ between(X10,X5,X0)
      | ~ between(X10,X3,X5) ),
    file('/export/starexec/sandbox2/tmp/tmp.oxnObKofs0/Vampire---4.8_8708',b5) ).

fof(f106,plain,
    ~ between(a,d,e),
    inference(resolution,[],[f83,f47]) ).

fof(f83,axiom,
    ~ between(e,d,a),
    file('/export/starexec/sandbox2/tmp/tmp.oxnObKofs0/Vampire---4.8_8708',prove_d_between_e_and_a) ).

fof(f97,plain,
    ! [X0,X1] :
      ( between(a,X1,X0)
      | between(a,X0,X1)
      | ~ between(c,a,X1)
      | ~ between(c,a,X0) ),
    inference(resolution,[],[f86,f87]) ).

fof(f87,plain,
    ! [X3,X10,X0,X5] :
      ( sQ0_eqProxy(X3,X10)
      | between(X3,X5,X0)
      | between(X3,X0,X5)
      | ~ between(X10,X3,X0)
      | ~ between(X10,X3,X5) ),
    inference(equality_proxy_replacement,[],[f78,f85]) ).

fof(f85,plain,
    ! [X0,X1] :
      ( sQ0_eqProxy(X0,X1)
    <=> X0 = X1 ),
    introduced(equality_proxy_definition,[new_symbols(naming,[sQ0_eqProxy])]) ).

fof(f78,axiom,
    ! [X3,X10,X0,X5] :
      ( between(X3,X0,X5)
      | between(X3,X5,X0)
      | X3 = X10
      | ~ between(X10,X3,X0)
      | ~ between(X10,X3,X5) ),
    file('/export/starexec/sandbox2/tmp/tmp.oxnObKofs0/Vampire---4.8_8708',b13) ).

fof(f86,plain,
    ~ sQ0_eqProxy(a,c),
    inference(equality_proxy_replacement,[],[f79,f85]) ).

fof(f79,axiom,
    a != c,
    file('/export/starexec/sandbox2/tmp/tmp.oxnObKofs0/Vampire---4.8_8708',a_not_c) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : GEO007-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.03/0.14  % 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
% 0.14/0.34  % Computer : n017.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Fri May  3 21:59:23 EDT 2024
% 0.14/0.34  % CPUTime    : 
% 0.14/0.34  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.14/0.35  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/tmp/tmp.oxnObKofs0/Vampire---4.8_8708
% 0.57/0.73  % (9070)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)
% 0.57/0.73  % (9065)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.73  % (9066)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)
% 0.57/0.73  % (9067)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)
% 0.57/0.73  % (9068)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)
% 0.57/0.73  % (9064)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)
% 0.57/0.73  % (9069)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)
% 0.57/0.73  % (9063)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)
% 0.57/0.73  % (9070)First to succeed.
% 0.57/0.73  % (9070)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-8976"
% 0.57/0.73  % (9070)Refutation found. Thanks to Tanya!
% 0.57/0.73  % SZS status Unsatisfiable for Vampire---4
% 0.57/0.73  % SZS output start Proof for Vampire---4
% See solution above
% 0.57/0.73  % (9070)------------------------------
% 0.57/0.73  % (9070)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.73  % (9070)Termination reason: Refutation
% 0.57/0.73  
% 0.57/0.73  % (9070)Memory used [KB]: 1123
% 0.57/0.73  % (9070)Time elapsed: 0.006 s
% 0.57/0.73  % (9070)Instructions burned: 14 (million)
% 0.57/0.73  % (8976)Success in time 0.383 s
% 0.57/0.73  % Vampire---4.8 exiting
%------------------------------------------------------------------------------