TSTP Solution File: GEO253+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GEO253+1 : TPTP v8.2.0. Bugfixed v6.4.0.
% 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 : n014.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 20:09:49 EDT 2024

% Result   : Theorem 0.69s 0.90s
% Output   : Refutation 0.69s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   19 (   5 unt;   0 def)
%            Number of atoms       :   53 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   62 (  28   ~;  11   |;  18   &)
%                                         (   1 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   36 (  27   !;   9   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f145,plain,
    $false,
    inference(resolution,[],[f143,f115]) ).

fof(f115,plain,
    ! [X0,X1] : ~ left_apart_point(X0,X1),
    inference(cnf_transformation,[],[f72]) ).

fof(f72,plain,
    ! [X0,X1] :
      ( ~ left_apart_point(X0,reverse_line(X1))
      & ~ left_apart_point(X0,X1) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f15,axiom,
    ! [X0,X1] :
      ~ ( left_apart_point(X0,reverse_line(X1))
        | left_apart_point(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',oag10) ).

fof(f143,plain,
    left_apart_point(sK0,sK2),
    inference(resolution,[],[f140,f136]) ).

fof(f136,plain,
    apart_point_and_line(sK0,sK2),
    inference(cnf_transformation,[],[f99]) ).

fof(f99,plain,
    ( ~ apart_point_and_line(sK1,sK2)
    & ~ apart_point_and_line(sK1,parallel_through_point(sK2,sK0))
    & apart_point_and_line(sK0,sK2) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f95,f98]) ).

fof(f98,plain,
    ( ? [X0,X1,X2] :
        ( ~ apart_point_and_line(X1,X2)
        & ~ apart_point_and_line(X1,parallel_through_point(X2,X0))
        & apart_point_and_line(X0,X2) )
   => ( ~ apart_point_and_line(sK1,sK2)
      & ~ apart_point_and_line(sK1,parallel_through_point(sK2,sK0))
      & apart_point_and_line(sK0,sK2) ) ),
    introduced(choice_axiom,[]) ).

fof(f95,plain,
    ? [X0,X1,X2] :
      ( ~ apart_point_and_line(X1,X2)
      & ~ apart_point_and_line(X1,parallel_through_point(X2,X0))
      & apart_point_and_line(X0,X2) ),
    inference(flattening,[],[f94]) ).

fof(f94,plain,
    ? [X0,X1,X2] :
      ( ~ apart_point_and_line(X1,X2)
      & ~ apart_point_and_line(X1,parallel_through_point(X2,X0))
      & apart_point_and_line(X0,X2) ),
    inference(ennf_transformation,[],[f59]) ).

fof(f59,plain,
    ~ ! [X0,X1,X2] :
        ( ( ~ apart_point_and_line(X1,parallel_through_point(X2,X0))
          & apart_point_and_line(X0,X2) )
       => apart_point_and_line(X1,X2) ),
    inference(rectify,[],[f33]) ).

fof(f33,negated_conjecture,
    ~ ! [X0,X3,X1] :
        ( ( ~ apart_point_and_line(X3,parallel_through_point(X1,X0))
          & apart_point_and_line(X0,X1) )
       => apart_point_and_line(X3,X1) ),
    inference(negated_conjecture,[],[f32]) ).

fof(f32,conjecture,
    ! [X0,X3,X1] :
      ( ( ~ apart_point_and_line(X3,parallel_through_point(X1,X0))
        & apart_point_and_line(X0,X1) )
     => apart_point_and_line(X3,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).

fof(f140,plain,
    ! [X0,X1] :
      ( ~ apart_point_and_line(X0,X1)
      | left_apart_point(X0,X1) ),
    inference(resolution,[],[f100,f116]) ).

fof(f116,plain,
    ! [X0,X1] : ~ left_apart_point(X0,reverse_line(X1)),
    inference(cnf_transformation,[],[f72]) ).

fof(f100,plain,
    ! [X0,X1] :
      ( left_apart_point(X0,reverse_line(X1))
      | left_apart_point(X0,X1)
      | ~ apart_point_and_line(X0,X1) ),
    inference(cnf_transformation,[],[f97]) ).

fof(f97,plain,
    ! [X0,X1] :
      ( ( apart_point_and_line(X0,X1)
        | ( ~ left_apart_point(X0,reverse_line(X1))
          & ~ left_apart_point(X0,X1) ) )
      & ( left_apart_point(X0,reverse_line(X1))
        | left_apart_point(X0,X1)
        | ~ apart_point_and_line(X0,X1) ) ),
    inference(flattening,[],[f96]) ).

fof(f96,plain,
    ! [X0,X1] :
      ( ( apart_point_and_line(X0,X1)
        | ( ~ left_apart_point(X0,reverse_line(X1))
          & ~ left_apart_point(X0,X1) ) )
      & ( left_apart_point(X0,reverse_line(X1))
        | left_apart_point(X0,X1)
        | ~ apart_point_and_line(X0,X1) ) ),
    inference(nnf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( apart_point_and_line(X0,X1)
    <=> ( left_apart_point(X0,reverse_line(X1))
        | left_apart_point(X0,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',apt_def) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem    : GEO253+1 : TPTP v8.2.0. Bugfixed v6.4.0.
% 0.08/0.14  % 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 : n014.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   : Sun May 19 13:51:53 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a FOF_THM_RFO_NEQ problem
% 0.14/0.36  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
% 0.69/0.90  % (2221)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 (2994ds/51Mi)
% 0.69/0.90  % (2222)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2994ds/78Mi)
% 0.69/0.90  % (2220)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 (2994ds/34Mi)
% 0.69/0.90  % (2223)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2994ds/33Mi)
% 0.69/0.90  % (2224)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 (2994ds/34Mi)
% 0.69/0.90  % (2225)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2994ds/45Mi)
% 0.69/0.90  % (2226)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 (2994ds/83Mi)
% 0.69/0.90  % (2227)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 (2994ds/56Mi)
% 0.69/0.90  % (2225)Refutation not found, incomplete strategy% (2225)------------------------------
% 0.69/0.90  % (2225)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.69/0.90  % (2225)Termination reason: Refutation not found, incomplete strategy
% 0.69/0.90  
% 0.69/0.90  % (2225)Memory used [KB]: 1040
% 0.69/0.90  % (2225)Time elapsed: 0.002 s
% 0.69/0.90  % (2220)Refutation not found, incomplete strategy% (2220)------------------------------
% 0.69/0.90  % (2220)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.69/0.90  % (2225)Instructions burned: 2 (million)
% 0.69/0.90  % (2220)Termination reason: Refutation not found, incomplete strategy
% 0.69/0.90  
% 0.69/0.90  % (2220)Memory used [KB]: 988
% 0.69/0.90  % (2220)Time elapsed: 0.003 s
% 0.69/0.90  % (2220)Instructions burned: 2 (million)
% 0.69/0.90  % (2224)Refutation not found, incomplete strategy% (2224)------------------------------
% 0.69/0.90  % (2224)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.69/0.90  % (2225)------------------------------
% 0.69/0.90  % (2225)------------------------------
% 0.69/0.90  % (2223)Refutation not found, incomplete strategy% (2223)------------------------------
% 0.69/0.90  % (2223)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.69/0.90  % (2223)Termination reason: Refutation not found, incomplete strategy
% 0.69/0.90  
% 0.69/0.90  % (2223)Memory used [KB]: 1045
% 0.69/0.90  % (2223)Time elapsed: 0.003 s
% 0.69/0.90  % (2223)Instructions burned: 2 (million)
% 0.69/0.90  % (2224)Termination reason: Refutation not found, incomplete strategy
% 0.69/0.90  % (2227)Refutation not found, incomplete strategy% (2227)------------------------------
% 0.69/0.90  % (2227)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.69/0.90  % (2227)Termination reason: Refutation not found, incomplete strategy
% 0.69/0.90  
% 0.69/0.90  % (2227)Memory used [KB]: 1040
% 0.69/0.90  % (2227)Time elapsed: 0.002 s
% 0.69/0.90  % (2227)Instructions burned: 2 (million)
% 0.69/0.90  % (2220)------------------------------
% 0.69/0.90  % (2220)------------------------------
% 0.69/0.90  
% 0.69/0.90  % (2224)Memory used [KB]: 1049
% 0.69/0.90  % (2224)Time elapsed: 0.003 s
% 0.69/0.90  % (2224)Instructions burned: 3 (million)
% 0.69/0.90  % (2223)------------------------------
% 0.69/0.90  % (2223)------------------------------
% 0.69/0.90  % (2227)------------------------------
% 0.69/0.90  % (2227)------------------------------
% 0.69/0.90  % (2226)Also succeeded, but the first one will report.
% 0.69/0.90  % (2222)Also succeeded, but the first one will report.
% 0.69/0.90  % (2221)First to succeed.
% 0.69/0.90  % (2224)------------------------------
% 0.69/0.90  % (2224)------------------------------
% 0.69/0.90  % (2221)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2219"
% 0.69/0.90  % (2221)Refutation found. Thanks to Tanya!
% 0.69/0.90  % SZS status Theorem for theBenchmark
% 0.69/0.90  % SZS output start Proof for theBenchmark
% See solution above
% 0.69/0.90  % (2221)------------------------------
% 0.69/0.90  % (2221)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.69/0.90  % (2221)Termination reason: Refutation
% 0.69/0.90  
% 0.69/0.90  % (2221)Memory used [KB]: 1073
% 0.69/0.90  % (2221)Time elapsed: 0.004 s
% 0.69/0.90  % (2221)Instructions burned: 4 (million)
% 0.69/0.90  % (2219)Success in time 0.536 s
% 0.69/0.90  % Vampire---4.8 exiting
%------------------------------------------------------------------------------