TSTP Solution File: GEO011-3 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GEO011-3 : 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 : n032.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 02:21:10 EDT 2024

% Result   : Unsatisfiable 0.60s 0.81s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   14 (   8 unt;   1 typ;   0 def)
%            Number of atoms       :   57 (   0 equ)
%            Maximal formula atoms :    4 (   4 avg)
%            Number of connectives :   19 (  11   ~;   8   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       :   36 (  36 fml;   0 var)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    2 (   1   >;   1   *;   0   +;   0  <<)
%            Number of predicates  :    7 (   6 usr;   4 prp; 0-3 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :   10 (   9   !;   0   ?;  10   :)
%                                         (   1  !>;   0  ?*;   0  @-;   0  @+)

% Comments : 
%------------------------------------------------------------------------------
tff(pred_def_4,type,
    sQ0_eqProxy: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(f119,plain,
    $false,
    inference(subsumption_resolution,[],[f118,f96]) ).

tff(f96,axiom,
    colinear(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
    file('/export/starexec/sandbox2/tmp/tmp.KETh17xY8t/Vampire---4.8_23480',prove_lower_dimension_points_not_colinear) ).

tff(f118,plain,
    ~ colinear(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
    inference(forward_literal_rewriting,[],[f117,f95]) ).

tff(f95,axiom,
    ! [X3: $i,X10: $i,X5: $i] :
      ( colinear(X3,X10,X5)
      | ~ colinear(X10,X3,X5) ),
    file('/export/starexec/sandbox2/tmp/tmp.KETh17xY8t/Vampire---4.8_23480',t10_5) ).

tff(f117,plain,
    ~ colinear(lower_dimension_point_2,lower_dimension_point_1,lower_dimension_point_3),
    inference(forward_literal_rewriting,[],[f116,f93]) ).

tff(f93,axiom,
    ! [X3: $i,X10: $i,X5: $i] :
      ( colinear(X10,X5,X3)
      | ~ colinear(X10,X3,X5) ),
    file('/export/starexec/sandbox2/tmp/tmp.KETh17xY8t/Vampire---4.8_23480',t10_3) ).

tff(f116,plain,
    ~ colinear(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1),
    inference(subsumption_resolution,[],[f115,f11]) ).

tff(f11,axiom,
    ~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1),
    file('/export/starexec/sandbox2/tmp/tmp.KETh17xY8t/Vampire---4.8_23480',lower_dimension2) ).

tff(f115,plain,
    ( between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1)
    | ~ colinear(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1) ),
    inference(subsumption_resolution,[],[f112,f12]) ).

tff(f12,axiom,
    ~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2),
    file('/export/starexec/sandbox2/tmp/tmp.KETh17xY8t/Vampire---4.8_23480',lower_dimension3) ).

tff(f112,plain,
    ( between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2)
    | between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1)
    | ~ colinear(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1) ),
    inference(resolution,[],[f22,f10]) ).

tff(f10,axiom,
    ~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
    file('/export/starexec/sandbox2/tmp/tmp.KETh17xY8t/Vampire---4.8_23480',lower_dimension1) ).

tff(f22,axiom,
    ! [X2: $i,X0: $i,X1: $i] :
      ( between(X2,X0,X1)
      | between(X1,X2,X0)
      | between(X0,X1,X2)
      | ~ colinear(X0,X1,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.KETh17xY8t/Vampire---4.8_23480',colinearity4) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10  % Problem    : GEO011-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.09/0.11  % 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
% 0.11/0.31  % Computer : n032.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit   : 300
% 0.11/0.31  % WCLimit    : 300
% 0.11/0.31  % DateTime   : Tue Apr 30 19:04:36 EDT 2024
% 0.11/0.31  % 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.KETh17xY8t/Vampire---4.8_23480
% 0.60/0.80  % (23595)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)
% 0.60/0.80  % (23594)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.80  % (23592)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)
% 0.60/0.80  % (23596)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)
% 0.60/0.80  % (23597)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)
% 0.60/0.80  % (23598)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)
% 0.60/0.80  % (23593)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)
% 0.60/0.80  % (23592)First to succeed.
% 0.60/0.80  % (23597)Also succeeded, but the first one will report.
% 0.60/0.80  % (23599)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)
% 0.60/0.80  % (23595)Also succeeded, but the first one will report.
% 0.60/0.81  % (23592)Refutation found. Thanks to Tanya!
% 0.60/0.81  % SZS status Unsatisfiable for Vampire---4
% 0.60/0.81  % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.81  % (23592)------------------------------
% 0.60/0.81  % (23592)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.81  % (23592)Termination reason: Refutation
% 0.60/0.81  
% 0.60/0.81  % (23592)Memory used [KB]: 1044
% 0.60/0.81  % (23592)Time elapsed: 0.004 s
% 0.60/0.81  % (23592)Instructions burned: 4 (million)
% 0.60/0.81  % (23592)------------------------------
% 0.60/0.81  % (23592)------------------------------
% 0.60/0.81  % (23588)Success in time 0.483 s
% 0.65/0.81  % Vampire---4.8 exiting
%------------------------------------------------------------------------------