TSTP Solution File: GEO067-3 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GEO067-3 : 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n029.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 05:09:02 EDT 2024

% Result   : Unsatisfiable 0.62s 0.82s
% Output   : Refutation 0.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   27 (   4 unt;   0 def)
%            Number of atoms       :   58 (   5 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   61 (  30   ~;  28   |;   0   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   4 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   13 (  13   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f169,plain,
    $false,
    inference(avatar_sat_refutation,[],[f110,f117,f136,f163]) ).

fof(f163,plain,
    ( ~ spl0_2
    | spl0_3 ),
    inference(avatar_contradiction_clause,[],[f162]) ).

fof(f162,plain,
    ( $false
    | ~ spl0_2
    | spl0_3 ),
    inference(subsumption_resolution,[],[f161,f49]) ).

fof(f49,axiom,
    ! [X3,X10] : between(X10,X3,X3),
    file('/export/starexec/sandbox/tmp/tmp.O0EQu0dABO/Vampire---4.8_13006',t3) ).

fof(f161,plain,
    ( ~ between(z,x,x)
    | ~ spl0_2
    | spl0_3 ),
    inference(forward_demodulation,[],[f143,f109]) ).

fof(f109,plain,
    ( x = y
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f107]) ).

fof(f107,plain,
    ( spl0_2
  <=> x = y ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f143,plain,
    ( ~ between(z,x,y)
    | spl0_3 ),
    inference(resolution,[],[f116,f90]) ).

fof(f90,axiom,
    ! [X3,X10,X5] :
      ( colinear(X10,X3,X5)
      | ~ between(X3,X10,X5) ),
    file('/export/starexec/sandbox/tmp/tmp.O0EQu0dABO/Vampire---4.8_13006',c2_3) ).

fof(f116,plain,
    ( ~ colinear(x,z,y)
    | spl0_3 ),
    inference(avatar_component_clause,[],[f114]) ).

fof(f114,plain,
    ( spl0_3
  <=> colinear(x,z,y) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f136,plain,
    spl0_1,
    inference(avatar_contradiction_clause,[],[f135]) ).

fof(f135,plain,
    ( $false
    | spl0_1 ),
    inference(subsumption_resolution,[],[f123,f52]) ).

fof(f52,axiom,
    ! [X3,X10] : between(X10,X10,X3),
    file('/export/starexec/sandbox/tmp/tmp.O0EQu0dABO/Vampire---4.8_13006',t2) ).

fof(f123,plain,
    ( ~ between(x,x,y)
    | spl0_1 ),
    inference(resolution,[],[f105,f90]) ).

fof(f105,plain,
    ( ~ colinear(x,x,y)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f103]) ).

fof(f103,plain,
    ( spl0_1
  <=> colinear(x,x,y) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f117,plain,
    ( ~ spl0_1
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f112,f114,f103]) ).

fof(f112,plain,
    ( ~ colinear(x,z,y)
    | ~ colinear(x,x,y) ),
    inference(subsumption_resolution,[],[f111,f92]) ).

fof(f92,axiom,
    ! [X3,X10,X5] :
      ( colinear(X3,X5,X10)
      | ~ colinear(X10,X3,X5) ),
    file('/export/starexec/sandbox/tmp/tmp.O0EQu0dABO/Vampire---4.8_13006',t10_2) ).

fof(f111,plain,
    ( ~ colinear(x,z,y)
    | ~ colinear(x,y,x)
    | ~ colinear(x,x,y) ),
    inference(subsumption_resolution,[],[f98,f91]) ).

fof(f91,axiom,
    ! [X3,X10,X5] :
      ( colinear(X5,X3,X10)
      | ~ colinear(X10,X3,X5) ),
    file('/export/starexec/sandbox/tmp/tmp.O0EQu0dABO/Vampire---4.8_13006',t10_1) ).

fof(f98,axiom,
    ( ~ colinear(x,z,y)
    | ~ colinear(y,x,x)
    | ~ colinear(x,y,x)
    | ~ colinear(x,x,y) ),
    file('/export/starexec/sandbox/tmp/tmp.O0EQu0dABO/Vampire---4.8_13006',part_2) ).

fof(f110,plain,
    ( ~ spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f101,f107,f103]) ).

fof(f101,plain,
    ( x = y
    | ~ colinear(x,x,y) ),
    inference(subsumption_resolution,[],[f100,f92]) ).

fof(f100,plain,
    ( x = y
    | ~ colinear(x,y,x)
    | ~ colinear(x,x,y) ),
    inference(subsumption_resolution,[],[f97,f91]) ).

fof(f97,axiom,
    ( x = y
    | ~ colinear(y,x,x)
    | ~ colinear(x,y,x)
    | ~ colinear(x,x,y) ),
    file('/export/starexec/sandbox/tmp/tmp.O0EQu0dABO/Vampire---4.8_13006',part_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10  % Problem    : GEO067-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.09/0.12  % 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
% 0.11/0.32  % Computer : n029.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Fri May  3 22:01:23 EDT 2024
% 0.11/0.32  % CPUTime    : 
% 0.11/0.32  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.11/0.32  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.O0EQu0dABO/Vampire---4.8_13006
% 0.62/0.81  % (13124)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.62/0.81  % (13121)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 (2995ds/34Mi)
% 0.62/0.81  % (13123)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.62/0.81  % (13126)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.62/0.81  % (13122)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 (2995ds/51Mi)
% 0.62/0.81  % (13125)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 (2995ds/34Mi)
% 0.62/0.81  % (13127)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 (2995ds/83Mi)
% 0.62/0.81  % (13128)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 (2995ds/56Mi)
% 0.62/0.81  % (13126)First to succeed.
% 0.62/0.82  % (13123)Also succeeded, but the first one will report.
% 0.62/0.82  % (13126)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-13114"
% 0.62/0.82  % (13124)Refutation not found, incomplete strategy% (13124)------------------------------
% 0.62/0.82  % (13124)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.82  % (13124)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.82  
% 0.62/0.82  % (13124)Memory used [KB]: 1110
% 0.62/0.82  % (13124)Time elapsed: 0.005 s
% 0.62/0.82  % (13124)Instructions burned: 5 (million)
% 0.62/0.82  % (13124)------------------------------
% 0.62/0.82  % (13124)------------------------------
% 0.62/0.82  % (13127)Also succeeded, but the first one will report.
% 0.62/0.82  % (13126)Refutation found. Thanks to Tanya!
% 0.62/0.82  % SZS status Unsatisfiable for Vampire---4
% 0.62/0.82  % SZS output start Proof for Vampire---4
% See solution above
% 0.62/0.82  % (13126)------------------------------
% 0.62/0.82  % (13126)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.82  % (13126)Termination reason: Refutation
% 0.62/0.82  
% 0.62/0.82  % (13126)Memory used [KB]: 1126
% 0.62/0.82  % (13126)Time elapsed: 0.004 s
% 0.62/0.82  % (13126)Instructions burned: 5 (million)
% 0.62/0.82  % (13114)Success in time 0.486 s
% 0.62/0.82  % Vampire---4.8 exiting
%------------------------------------------------------------------------------