TSTP Solution File: GEO251+1 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GEO251+1 : TPTP v8.1.2. 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 : n004.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 05:10:47 EDT 2024

% Result   : Theorem 0.55s 0.74s
% Output   : Refutation 0.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   11 (   3 unt;   0 def)
%            Number of atoms       :   21 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   20 (  10   ~;   1   |;   5   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   21 (  15   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f64,plain,
    $false,
    inference(subsumption_resolution,[],[f50,f53]) ).

fof(f53,plain,
    ! [X0,X1] : ~ left_apart_point(X0,reverse_line(X1)),
    inference(cnf_transformation,[],[f42]) ).

fof(f42,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/tmp/tmp.uC4XHKgJcs/Vampire---4.8_31826',oag10) ).

fof(f50,plain,
    left_apart_point(sK1,reverse_line(parallel_through_point(sK2,sK0))),
    inference(cnf_transformation,[],[f49]) ).

fof(f49,plain,
    ( ~ left_apart_point(sK0,parallel_through_point(sK2,sK1))
    & left_apart_point(sK1,reverse_line(parallel_through_point(sK2,sK0))) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f41,f48]) ).

fof(f48,plain,
    ( ? [X0,X1,X2] :
        ( ~ left_apart_point(X0,parallel_through_point(X2,X1))
        & left_apart_point(X1,reverse_line(parallel_through_point(X2,X0))) )
   => ( ~ left_apart_point(sK0,parallel_through_point(sK2,sK1))
      & left_apart_point(sK1,reverse_line(parallel_through_point(sK2,sK0))) ) ),
    introduced(choice_axiom,[]) ).

fof(f41,plain,
    ? [X0,X1,X2] :
      ( ~ left_apart_point(X0,parallel_through_point(X2,X1))
      & left_apart_point(X1,reverse_line(parallel_through_point(X2,X0))) ),
    inference(ennf_transformation,[],[f34]) ).

fof(f34,plain,
    ~ ! [X0,X1,X2] :
        ( left_apart_point(X1,reverse_line(parallel_through_point(X2,X0)))
       => left_apart_point(X0,parallel_through_point(X2,X1)) ),
    inference(rectify,[],[f33]) ).

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

fof(f32,conjecture,
    ! [X0,X3,X1] :
      ( left_apart_point(X3,reverse_line(parallel_through_point(X1,X0)))
     => left_apart_point(X0,parallel_through_point(X1,X3)) ),
    file('/export/starexec/sandbox/tmp/tmp.uC4XHKgJcs/Vampire---4.8_31826',con) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : GEO251+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.13/0.14  % 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
% 0.14/0.34  % Computer : n004.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Fri May  3 22:04:07 EDT 2024
% 0.14/0.34  % CPUTime    : 
% 0.14/0.34  This is a FOF_THM_RFO_NEQ problem
% 0.14/0.34  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/tmp/tmp.uC4XHKgJcs/Vampire---4.8_31826
% 0.55/0.74  % (31943)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)
% 0.55/0.74  % (31943)First to succeed.
% 0.55/0.74  % (31936)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)
% 0.55/0.74  % (31943)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-31935"
% 0.55/0.74  % (31938)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.74  % (31937)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)
% 0.55/0.74  % (31940)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)
% 0.55/0.74  % (31939)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)
% 0.55/0.74  % (31941)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)
% 0.55/0.74  % (31942)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)
% 0.55/0.74  % (31943)Refutation found. Thanks to Tanya!
% 0.55/0.74  % SZS status Theorem for Vampire---4
% 0.55/0.74  % SZS output start Proof for Vampire---4
% See solution above
% 0.55/0.74  % (31943)------------------------------
% 0.55/0.74  % (31943)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.74  % (31943)Termination reason: Refutation
% 0.55/0.74  
% 0.55/0.74  % (31943)Memory used [KB]: 972
% 0.55/0.74  % (31943)Time elapsed: 0.002 s
% 0.55/0.74  % (31943)Instructions burned: 2 (million)
% 0.55/0.74  % (31935)Success in time 0.389 s
% 0.55/0.74  % Vampire---4.8 exiting
%------------------------------------------------------------------------------