TSTP Solution File: GEO195+3 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GEO195+3 : TPTP v8.1.2. Released v4.0.0.
% 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 : n015.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 02:22:51 EDT 2024

% Result   : Theorem 0.59s 0.75s
% Output   : Refutation 0.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   30 (   9 unt;   0 def)
%            Number of atoms       :   82 (   0 equ)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives :   73 (  21   ~;  20   |;  24   &)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   63 (  54   !;   9   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f162,plain,
    $false,
    inference(resolution,[],[f157,f108]) ).

fof(f108,plain,
    ! [X0,X1] : ~ apart_point_and_line(X0,parallel_through_point(X1,X0)),
    inference(cnf_transformation,[],[f17]) ).

fof(f17,axiom,
    ! [X0,X1] : ~ apart_point_and_line(X0,parallel_through_point(X1,X0)),
    file('/export/starexec/sandbox/tmp/tmp.XS7U1Ijnul/Vampire---4.8_4819',cp2) ).

fof(f157,plain,
    ! [X0] : apart_point_and_line(intersection_point(sK0,sK1),parallel_through_point(sK2,X0)),
    inference(resolution,[],[f156,f102]) ).

fof(f102,plain,
    ! [X0] : ~ convergent_lines(X0,X0),
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0] : ~ convergent_lines(X0,X0),
    file('/export/starexec/sandbox/tmp/tmp.XS7U1Ijnul/Vampire---4.8_4819',apart3) ).

fof(f156,plain,
    ! [X0,X1] :
      ( convergent_lines(sK2,X0)
      | apart_point_and_line(intersection_point(sK0,sK1),parallel_through_point(X0,X1)) ),
    inference(resolution,[],[f154,f136]) ).

fof(f136,plain,
    ! [X2,X0,X1] :
      ( ~ convergent_lines(X0,parallel_through_point(X1,X2))
      | convergent_lines(X0,X1) ),
    inference(resolution,[],[f101,f109]) ).

fof(f109,plain,
    ! [X0,X1] : ~ convergent_lines(parallel_through_point(X1,X0),X1),
    inference(cnf_transformation,[],[f16]) ).

fof(f16,axiom,
    ! [X0,X1] : ~ convergent_lines(parallel_through_point(X1,X0),X1),
    file('/export/starexec/sandbox/tmp/tmp.XS7U1Ijnul/Vampire---4.8_4819',cp1) ).

fof(f101,plain,
    ! [X2,X0,X1] :
      ( convergent_lines(X1,X2)
      | convergent_lines(X0,X2)
      | ~ convergent_lines(X0,X1) ),
    inference(cnf_transformation,[],[f58]) ).

fof(f58,plain,
    ! [X0,X1,X2] :
      ( convergent_lines(X1,X2)
      | convergent_lines(X0,X2)
      | ~ convergent_lines(X0,X1) ),
    inference(flattening,[],[f57]) ).

fof(f57,plain,
    ! [X0,X1,X2] :
      ( convergent_lines(X1,X2)
      | convergent_lines(X0,X2)
      | ~ convergent_lines(X0,X1) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X0,X1,X2] :
      ( convergent_lines(X0,X1)
     => ( convergent_lines(X1,X2)
        | convergent_lines(X0,X2) ) ),
    file('/export/starexec/sandbox/tmp/tmp.XS7U1Ijnul/Vampire---4.8_4819',ax6) ).

fof(f154,plain,
    ! [X0] :
      ( convergent_lines(sK2,X0)
      | apart_point_and_line(intersection_point(sK0,sK1),X0) ),
    inference(resolution,[],[f150,f129]) ).

fof(f129,plain,
    ! [X0,X1] :
      ( ~ distinct_lines(X0,X1)
      | convergent_lines(X0,X1) ),
    inference(cnf_transformation,[],[f84]) ).

fof(f84,plain,
    ! [X0,X1] :
      ( convergent_lines(X0,X1)
      | ~ distinct_lines(X0,X1) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f15,axiom,
    ! [X0,X1] :
      ( distinct_lines(X0,X1)
     => convergent_lines(X0,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.XS7U1Ijnul/Vampire---4.8_4819',p1) ).

fof(f150,plain,
    ! [X0] :
      ( distinct_lines(sK2,X0)
      | apart_point_and_line(intersection_point(sK0,sK1),X0) ),
    inference(resolution,[],[f131,f96]) ).

fof(f96,plain,
    apart_point_and_line(intersection_point(sK0,sK1),sK2),
    inference(cnf_transformation,[],[f92]) ).

fof(f92,plain,
    ( ~ apart_point_and_line(intersection_point(sK1,sK0),sK2)
    & apart_point_and_line(intersection_point(sK0,sK1),sK2)
    & convergent_lines(sK0,sK2)
    & convergent_lines(sK2,sK1)
    & convergent_lines(sK0,sK1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f52,f91]) ).

fof(f91,plain,
    ( ? [X0,X1,X2] :
        ( ~ apart_point_and_line(intersection_point(X1,X0),X2)
        & apart_point_and_line(intersection_point(X0,X1),X2)
        & convergent_lines(X0,X2)
        & convergent_lines(X2,X1)
        & convergent_lines(X0,X1) )
   => ( ~ apart_point_and_line(intersection_point(sK1,sK0),sK2)
      & apart_point_and_line(intersection_point(sK0,sK1),sK2)
      & convergent_lines(sK0,sK2)
      & convergent_lines(sK2,sK1)
      & convergent_lines(sK0,sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f52,plain,
    ? [X0,X1,X2] :
      ( ~ apart_point_and_line(intersection_point(X1,X0),X2)
      & apart_point_and_line(intersection_point(X0,X1),X2)
      & convergent_lines(X0,X2)
      & convergent_lines(X2,X1)
      & convergent_lines(X0,X1) ),
    inference(flattening,[],[f51]) ).

fof(f51,plain,
    ? [X0,X1,X2] :
      ( ~ apart_point_and_line(intersection_point(X1,X0),X2)
      & apart_point_and_line(intersection_point(X0,X1),X2)
      & convergent_lines(X0,X2)
      & convergent_lines(X2,X1)
      & convergent_lines(X0,X1) ),
    inference(ennf_transformation,[],[f37]) ).

fof(f37,negated_conjecture,
    ~ ! [X0,X1,X2] :
        ( ( convergent_lines(X0,X2)
          & convergent_lines(X2,X1)
          & convergent_lines(X0,X1) )
       => ( apart_point_and_line(intersection_point(X0,X1),X2)
         => apart_point_and_line(intersection_point(X1,X0),X2) ) ),
    inference(negated_conjecture,[],[f36]) ).

fof(f36,conjecture,
    ! [X0,X1,X2] :
      ( ( convergent_lines(X0,X2)
        & convergent_lines(X2,X1)
        & convergent_lines(X0,X1) )
     => ( apart_point_and_line(intersection_point(X0,X1),X2)
       => apart_point_and_line(intersection_point(X1,X0),X2) ) ),
    file('/export/starexec/sandbox/tmp/tmp.XS7U1Ijnul/Vampire---4.8_4819',con) ).

fof(f131,plain,
    ! [X2,X0,X1] :
      ( ~ apart_point_and_line(X0,X1)
      | distinct_lines(X1,X2)
      | apart_point_and_line(X0,X2) ),
    inference(cnf_transformation,[],[f88]) ).

fof(f88,plain,
    ! [X0,X1,X2] :
      ( apart_point_and_line(X0,X2)
      | distinct_lines(X1,X2)
      | ~ apart_point_and_line(X0,X1) ),
    inference(flattening,[],[f87]) ).

fof(f87,plain,
    ! [X0,X1,X2] :
      ( apart_point_and_line(X0,X2)
      | distinct_lines(X1,X2)
      | ~ apart_point_and_line(X0,X1) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f13,axiom,
    ! [X0,X1,X2] :
      ( apart_point_and_line(X0,X1)
     => ( apart_point_and_line(X0,X2)
        | distinct_lines(X1,X2) ) ),
    file('/export/starexec/sandbox/tmp/tmp.XS7U1Ijnul/Vampire---4.8_4819',ceq2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : GEO195+3 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.14  % 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
% 0.14/0.35  % Computer : n015.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Apr 30 19:17:48 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a FOF_THM_RFO_NEQ problem
% 0.14/0.35  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.XS7U1Ijnul/Vampire---4.8_4819
% 0.59/0.74  % (5041)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)
% 0.59/0.74  % (5041)Refutation not found, incomplete strategy% (5041)------------------------------
% 0.59/0.74  % (5041)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.74  % (5041)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.74  
% 0.59/0.74  % (5041)Memory used [KB]: 1029
% 0.59/0.74  % (5041)Time elapsed: 0.002 s
% 0.59/0.74  % (5041)Instructions burned: 2 (million)
% 0.59/0.74  % (5041)------------------------------
% 0.59/0.74  % (5041)------------------------------
% 0.59/0.75  % (5034)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)
% 0.59/0.75  % (5036)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.59/0.75  % (5035)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)
% 0.59/0.75  % (5037)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)
% 0.59/0.75  % (5039)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)
% 0.59/0.75  % (5038)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)
% 0.59/0.75  % (5039)Refutation not found, incomplete strategy% (5039)------------------------------
% 0.59/0.75  % (5039)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.75  % (5039)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75  
% 0.59/0.75  % (5039)Memory used [KB]: 1029
% 0.59/0.75  % (5039)Time elapsed: 0.002 s
% 0.59/0.75  % (5039)Instructions burned: 2 (million)
% 0.59/0.75  % (5039)------------------------------
% 0.59/0.75  % (5039)------------------------------
% 0.59/0.75  % (5037)Refutation not found, incomplete strategy% (5037)------------------------------
% 0.59/0.75  % (5037)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.75  % (5040)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)
% 0.59/0.75  % (5037)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75  
% 0.59/0.75  % (5037)Memory used [KB]: 1098
% 0.59/0.75  % (5037)Time elapsed: 0.004 s
% 0.59/0.75  % (5037)Instructions burned: 3 (million)
% 0.59/0.75  % (5037)------------------------------
% 0.59/0.75  % (5037)------------------------------
% 0.59/0.75  % (5050)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.59/0.75  % (5036)First to succeed.
% 0.59/0.75  % (5050)Refutation not found, incomplete strategy% (5050)------------------------------
% 0.59/0.75  % (5050)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.75  % (5050)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75  
% 0.59/0.75  % (5050)Memory used [KB]: 1098
% 0.59/0.75  % (5050)Time elapsed: 0.003 s
% 0.59/0.75  % (5050)Instructions burned: 3 (million)
% 0.59/0.75  % (5050)------------------------------
% 0.59/0.75  % (5050)------------------------------
% 0.59/0.75  % (5051)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2996ds/50Mi)
% 0.59/0.75  % (5036)Refutation found. Thanks to Tanya!
% 0.59/0.75  % SZS status Theorem for Vampire---4
% 0.59/0.75  % SZS output start Proof for Vampire---4
% See solution above
% 0.59/0.75  % (5036)------------------------------
% 0.59/0.75  % (5036)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.75  % (5036)Termination reason: Refutation
% 0.59/0.75  
% 0.59/0.75  % (5036)Memory used [KB]: 1119
% 0.59/0.75  % (5036)Time elapsed: 0.007 s
% 0.59/0.75  % (5036)Instructions burned: 6 (million)
% 0.59/0.75  % (5036)------------------------------
% 0.59/0.75  % (5036)------------------------------
% 0.59/0.75  % (5031)Success in time 0.392 s
% 0.59/0.75  % Exception at proof search levelterminate called after throwing an instance of '
% 0.59/0.75  Lib::SystemFailExceptionSystem fail: '
% 0.59/0.75  Cannot decrease semaphore. error 43: Identifier removed
% 0.59/0.75  5031 Aborted by signal SIGABRT on /export/starexec/sandbox/tmp/tmp.XS7U1Ijnul/Vampire---4.8_4819
% 0.59/0.75  % (5031)------------------------------
% 0.59/0.75  % (5031)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.75  % (5031)Termination reason: Unknown
% 0.59/0.75  % (5031)Termination phase: Unknown
% 0.59/0.75  
% 0.59/0.75  % (5031)Memory used [KB]: 521
% 0.59/0.75  % (5031)Time elapsed: 0.392 s
% 0.59/0.75  % (5031)Instructions burned: 955 (million)
% 0.59/0.75  % (5031)------------------------------
% 0.59/0.75  % (5031)------------------------------
% 0.59/0.75  Version : Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.75  ???
% 0.59/0.75   ???
% 0.59/0.75    ???
% 0.59/0.75     ???
% 0.59/0.75      ???
% 0.59/0.75       ???
% 0.59/0.75        ???
% 0.59/0.75         ???
% 0.59/0.75          ???
% 0.59/0.75           ???
% 0.59/0.75            ???
% 0.59/0.75             ???
% 0.59/0.75              ???
% 0.59/0.75               ???
% 0.59/0.75                ???
% 0.59/0.75                 ???
% 0.59/0.75                  ???
% 0.59/0.75                   ???
% 0.59/0.75                    ???
% 0.59/0.75                     ???
% 0.59/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------