TSTP Solution File: GEO006-3 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GEO006-3 : TPTP v8.2.0. Released v1.0.0.
% 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 : n027.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 : Mon May 20 20:07:19 EDT 2024

% Result   : Unsatisfiable 0.65s 0.83s
% Output   : Refutation 0.65s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   20 (   6 unt;   0 def)
%            Number of atoms       :   38 (   7 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   37 (  19   ~;  16   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   3 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :    6 (   6   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f77,plain,
    $false,
    inference(avatar_sat_refutation,[],[f64,f70,f75]) ).

fof(f75,plain,
    ~ spl0_1,
    inference(avatar_contradiction_clause,[],[f74]) ).

fof(f74,plain,
    ( $false
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f73,f50]) ).

fof(f50,axiom,
    a != c,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_not_c) ).

fof(f73,plain,
    ( a = c
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f71,f53]) ).

fof(f53,axiom,
    between(a,c,d),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_between_a_and_d) ).

fof(f71,plain,
    ( ~ between(a,c,d)
    | a = c
    | ~ spl0_1 ),
    inference(resolution,[],[f59,f48]) ).

fof(f48,axiom,
    ! [X3,X10,X5] :
      ( ~ between(X10,X3,X5)
      | ~ between(X3,X10,X5)
      | X3 = X10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',b2) ).

fof(f59,plain,
    ( between(c,a,d)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f57]) ).

fof(f57,plain,
    ( spl0_1
  <=> between(c,a,d) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f70,plain,
    ~ spl0_2,
    inference(avatar_contradiction_clause,[],[f69]) ).

fof(f69,plain,
    ( $false
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f68,f53]) ).

fof(f68,plain,
    ( ~ between(a,c,d)
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f66,f52]) ).

fof(f52,axiom,
    c != d,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_not_d) ).

fof(f66,plain,
    ( c = d
    | ~ between(a,c,d)
    | ~ spl0_2 ),
    inference(resolution,[],[f63,f49]) ).

fof(f49,axiom,
    ! [X3,X10,X5] :
      ( ~ between(X10,X5,X3)
      | X3 = X5
      | ~ between(X10,X3,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',b3) ).

fof(f63,plain,
    ( between(a,d,c)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f61]) ).

fof(f61,plain,
    ( spl0_2
  <=> between(a,d,c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f64,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f54,f61,f57]) ).

fof(f54,axiom,
    ( between(a,d,c)
    | between(c,a,d) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_not_between_others) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : GEO006-3 : TPTP v8.2.0. Released v1.0.0.
% 0.06/0.13  % 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
% 0.13/0.34  % Computer : n027.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Sun May 19 15:00:23 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.13/0.34  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.13/0.34  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/benchmark/theBenchmark.p
% 0.65/0.83  % (14318)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 theBenchmark for (2995ds/34Mi)
% 0.65/0.83  % (14323)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2995ds/45Mi)
% 0.65/0.83  % (14320)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2995ds/78Mi)
% 0.65/0.83  % (14319)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 theBenchmark for (2995ds/51Mi)
% 0.65/0.83  % (14321)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2995ds/33Mi)
% 0.65/0.83  % (14322)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 theBenchmark for (2995ds/34Mi)
% 0.65/0.83  % (14324)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 theBenchmark for (2995ds/83Mi)
% 0.65/0.83  % (14325)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2995ds/56Mi)
% 0.65/0.83  % (14323)First to succeed.
% 0.65/0.83  % (14323)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-14317"
% 0.65/0.83  % (14320)Also succeeded, but the first one will report.
% 0.65/0.83  % (14321)Also succeeded, but the first one will report.
% 0.65/0.83  % (14325)Also succeeded, but the first one will report.
% 0.65/0.83  % (14323)Refutation found. Thanks to Tanya!
% 0.65/0.83  % SZS status Unsatisfiable for theBenchmark
% 0.65/0.83  % SZS output start Proof for theBenchmark
% See solution above
% 0.65/0.83  % (14323)------------------------------
% 0.65/0.83  % (14323)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.83  % (14323)Termination reason: Refutation
% 0.65/0.83  
% 0.65/0.83  % (14323)Memory used [KB]: 1034
% 0.65/0.83  % (14323)Time elapsed: 0.003 s
% 0.65/0.83  % (14323)Instructions burned: 3 (million)
% 0.65/0.83  % (14317)Success in time 0.48 s
% 0.65/0.83  % Vampire---4.8 exiting
%------------------------------------------------------------------------------