TSTP Solution File: GEO255+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GEO255+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 : n009.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 02:23:17 EDT 2024

% Result   : Theorem 0.54s 0.74s
% Output   : Refutation 0.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   48 (  19 unt;   0 def)
%            Number of atoms       :  137 (   0 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  147 (  58   ~;  41   |;  36   &)
%                                         (   2 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   87 (  81   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f312,plain,
    $false,
    inference(subsumption_resolution,[],[f309,f297]) ).

fof(f297,plain,
    unequally_directed_lines(reverse_line(sK0),reverse_line(line_connecting(sK2,sK1))),
    inference(unit_resulting_resolution,[],[f108,f203,f113]) ).

fof(f113,plain,
    ! [X2,X0,X1] :
      ( ~ unequally_directed_lines(X0,X1)
      | unequally_directed_lines(X0,X2)
      | unequally_directed_lines(X1,X2) ),
    inference(cnf_transformation,[],[f73]) ).

fof(f73,plain,
    ! [X0,X1,X2] :
      ( unequally_directed_lines(X1,X2)
      | unequally_directed_lines(X0,X2)
      | ~ unequally_directed_lines(X0,X1) ),
    inference(flattening,[],[f72]) ).

fof(f72,plain,
    ! [X0,X1,X2] :
      ( unequally_directed_lines(X1,X2)
      | unequally_directed_lines(X0,X2)
      | ~ unequally_directed_lines(X0,X1) ),
    inference(ennf_transformation,[],[f44]) ).

fof(f44,plain,
    ! [X0,X1,X2] :
      ( unequally_directed_lines(X0,X1)
     => ( unequally_directed_lines(X1,X2)
        | unequally_directed_lines(X0,X2) ) ),
    inference(rectify,[],[f11]) ).

fof(f11,axiom,
    ! [X1,X2,X5] :
      ( unequally_directed_lines(X1,X2)
     => ( unequally_directed_lines(X2,X5)
        | unequally_directed_lines(X1,X5) ) ),
    file('/export/starexec/sandbox/tmp/tmp.zBEEPBoxbw/Vampire---4.8_4022',oag6) ).

fof(f203,plain,
    unequally_directed_lines(reverse_line(sK0),line_connecting(sK1,sK2)),
    inference(unit_resulting_resolution,[],[f129,f145,f113]) ).

fof(f145,plain,
    ~ unequally_directed_lines(sK0,line_connecting(sK1,sK2)),
    inference(unit_resulting_resolution,[],[f90,f97]) ).

fof(f97,plain,
    ! [X2,X0,X1] :
      ( ~ unequally_directed_lines(X0,line_connecting(X1,X2))
      | ~ before_on_line(X0,X1,X2) ),
    inference(cnf_transformation,[],[f58]) ).

fof(f58,plain,
    ! [X0,X1,X2] :
      ( ( ~ unequally_directed_lines(X0,line_connecting(X1,X2))
        & ~ left_apart_point(X2,reverse_line(X0))
        & ~ left_apart_point(X2,X0)
        & ~ left_apart_point(X1,reverse_line(X0))
        & ~ left_apart_point(X1,X0)
        & distinct_points(X1,X2) )
      | ~ before_on_line(X0,X1,X2) ),
    inference(flattening,[],[f57]) ).

fof(f57,plain,
    ! [X0,X1,X2] :
      ( ( ~ unequally_directed_lines(X0,line_connecting(X1,X2))
        & ~ left_apart_point(X2,reverse_line(X0))
        & ~ left_apart_point(X2,X0)
        & ~ left_apart_point(X1,reverse_line(X0))
        & ~ left_apart_point(X1,X0)
        & distinct_points(X1,X2) )
      | ~ before_on_line(X0,X1,X2) ),
    inference(ennf_transformation,[],[f53]) ).

fof(f53,plain,
    ! [X0,X1,X2] :
      ( before_on_line(X0,X1,X2)
     => ( ~ unequally_directed_lines(X0,line_connecting(X1,X2))
        & ~ ( left_apart_point(X2,reverse_line(X0))
            | left_apart_point(X2,X0) )
        & ~ ( left_apart_point(X1,reverse_line(X0))
            | left_apart_point(X1,X0) )
        & distinct_points(X1,X2) ) ),
    inference(unused_predicate_definition_removal,[],[f35]) ).

fof(f35,plain,
    ! [X0,X1,X2] :
      ( before_on_line(X0,X1,X2)
    <=> ( ~ unequally_directed_lines(X0,line_connecting(X1,X2))
        & ~ ( left_apart_point(X2,reverse_line(X0))
            | left_apart_point(X2,X0) )
        & ~ ( left_apart_point(X1,reverse_line(X0))
            | left_apart_point(X1,X0) )
        & distinct_points(X1,X2) ) ),
    inference(rectify,[],[f4]) ).

fof(f4,axiom,
    ! [X1,X0,X3] :
      ( before_on_line(X1,X0,X3)
    <=> ( ~ unequally_directed_lines(X1,line_connecting(X0,X3))
        & ~ ( left_apart_point(X3,reverse_line(X1))
            | left_apart_point(X3,X1) )
        & ~ ( left_apart_point(X0,reverse_line(X1))
            | left_apart_point(X0,X1) )
        & distinct_points(X0,X3) ) ),
    file('/export/starexec/sandbox/tmp/tmp.zBEEPBoxbw/Vampire---4.8_4022',bf_def) ).

fof(f90,plain,
    before_on_line(sK0,sK1,sK2),
    inference(cnf_transformation,[],[f56]) ).

fof(f56,plain,
    ? [X0,X1,X2] :
      ( before_on_line(X0,X2,X1)
      & before_on_line(X0,X1,X2)
      & distinct_points(X1,X2)
      & line(X0) ),
    inference(flattening,[],[f55]) ).

fof(f55,plain,
    ? [X0,X1,X2] :
      ( before_on_line(X0,X2,X1)
      & before_on_line(X0,X1,X2)
      & distinct_points(X1,X2)
      & line(X0) ),
    inference(ennf_transformation,[],[f34]) ).

fof(f34,plain,
    ~ ! [X0,X1,X2] :
        ( ( distinct_points(X1,X2)
          & line(X0) )
       => ~ ( before_on_line(X0,X2,X1)
            & before_on_line(X0,X1,X2) ) ),
    inference(rectify,[],[f33]) ).

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

fof(f32,conjecture,
    ! [X1,X0,X3] :
      ( ( distinct_points(X0,X3)
        & line(X1) )
     => ~ ( before_on_line(X1,X3,X0)
          & before_on_line(X1,X0,X3) ) ),
    file('/export/starexec/sandbox/tmp/tmp.zBEEPBoxbw/Vampire---4.8_4022',con) ).

fof(f129,plain,
    unequally_directed_lines(sK0,reverse_line(sK0)),
    inference(unit_resulting_resolution,[],[f88,f114,f88,f102]) ).

fof(f102,plain,
    ! [X0,X1] :
      ( unequally_directed_lines(X0,reverse_line(X1))
      | ~ line(X1)
      | unequally_directed_lines(X0,X1)
      | ~ line(X0) ),
    inference(cnf_transformation,[],[f65]) ).

fof(f65,plain,
    ! [X0,X1] :
      ( unequally_directed_lines(X0,reverse_line(X1))
      | unequally_directed_lines(X0,X1)
      | ~ line(X1)
      | ~ line(X0) ),
    inference(flattening,[],[f64]) ).

fof(f64,plain,
    ! [X0,X1] :
      ( unequally_directed_lines(X0,reverse_line(X1))
      | unequally_directed_lines(X0,X1)
      | ~ line(X1)
      | ~ line(X0) ),
    inference(ennf_transformation,[],[f39]) ).

fof(f39,plain,
    ! [X0,X1] :
      ( ( line(X1)
        & line(X0) )
     => ( unequally_directed_lines(X0,reverse_line(X1))
        | unequally_directed_lines(X0,X1) ) ),
    inference(rectify,[],[f13]) ).

fof(f13,axiom,
    ! [X1,X2] :
      ( ( line(X2)
        & line(X1) )
     => ( unequally_directed_lines(X1,reverse_line(X2))
        | unequally_directed_lines(X1,X2) ) ),
    file('/export/starexec/sandbox/tmp/tmp.zBEEPBoxbw/Vampire---4.8_4022',oag8) ).

fof(f114,plain,
    ! [X0] : ~ unequally_directed_lines(X0,X0),
    inference(cnf_transformation,[],[f45]) ).

fof(f45,plain,
    ! [X0] : ~ unequally_directed_lines(X0,X0),
    inference(rectify,[],[f10]) ).

fof(f10,axiom,
    ! [X1] : ~ unequally_directed_lines(X1,X1),
    file('/export/starexec/sandbox/tmp/tmp.zBEEPBoxbw/Vampire---4.8_4022',oag5) ).

fof(f88,plain,
    line(sK0),
    inference(cnf_transformation,[],[f56]) ).

fof(f108,plain,
    ! [X0,X1] : ~ unequally_directed_lines(line_connecting(X0,X1),reverse_line(line_connecting(X1,X0))),
    inference(cnf_transformation,[],[f42]) ).

fof(f42,plain,
    ! [X0,X1] : ~ unequally_directed_lines(line_connecting(X0,X1),reverse_line(line_connecting(X1,X0))),
    inference(rectify,[],[f25]) ).

fof(f25,axiom,
    ! [X0,X3] : ~ unequally_directed_lines(line_connecting(X0,X3),reverse_line(line_connecting(X3,X0))),
    file('/export/starexec/sandbox/tmp/tmp.zBEEPBoxbw/Vampire---4.8_4022',oagco9) ).

fof(f309,plain,
    ~ unequally_directed_lines(reverse_line(sK0),reverse_line(line_connecting(sK2,sK1))),
    inference(unit_resulting_resolution,[],[f116,f117,f214,f118]) ).

fof(f118,plain,
    ! [X0,X1] :
      ( left_convergent_lines(X0,reverse_line(X1))
      | ~ unequally_directed_lines(X0,reverse_line(X1))
      | left_convergent_lines(X0,X1)
      | ~ unequally_directed_lines(X0,X1) ),
    inference(cnf_transformation,[],[f78]) ).

fof(f78,plain,
    ! [X0,X1] :
      ( left_convergent_lines(X0,reverse_line(X1))
      | left_convergent_lines(X0,X1)
      | ~ unequally_directed_lines(X0,reverse_line(X1))
      | ~ unequally_directed_lines(X0,X1) ),
    inference(flattening,[],[f77]) ).

fof(f77,plain,
    ! [X0,X1] :
      ( left_convergent_lines(X0,reverse_line(X1))
      | left_convergent_lines(X0,X1)
      | ~ unequally_directed_lines(X0,reverse_line(X1))
      | ~ unequally_directed_lines(X0,X1) ),
    inference(ennf_transformation,[],[f48]) ).

fof(f48,plain,
    ! [X0,X1] :
      ( ( unequally_directed_lines(X0,reverse_line(X1))
        & unequally_directed_lines(X0,X1) )
     => ( left_convergent_lines(X0,reverse_line(X1))
        | left_convergent_lines(X0,X1) ) ),
    inference(rectify,[],[f14]) ).

fof(f14,axiom,
    ! [X1,X2] :
      ( ( unequally_directed_lines(X1,reverse_line(X2))
        & unequally_directed_lines(X1,X2) )
     => ( left_convergent_lines(X1,reverse_line(X2))
        | left_convergent_lines(X1,X2) ) ),
    file('/export/starexec/sandbox/tmp/tmp.zBEEPBoxbw/Vampire---4.8_4022',oag9) ).

fof(f214,plain,
    unequally_directed_lines(reverse_line(sK0),line_connecting(sK2,sK1)),
    inference(unit_resulting_resolution,[],[f129,f167,f113]) ).

fof(f167,plain,
    ~ unequally_directed_lines(sK0,line_connecting(sK2,sK1)),
    inference(unit_resulting_resolution,[],[f91,f97]) ).

fof(f91,plain,
    before_on_line(sK0,sK2,sK1),
    inference(cnf_transformation,[],[f56]) ).

fof(f117,plain,
    ! [X0,X1] : ~ left_convergent_lines(X0,reverse_line(X1)),
    inference(cnf_transformation,[],[f76]) ).

fof(f76,plain,
    ! [X0,X1] :
      ( ~ left_convergent_lines(X0,reverse_line(X1))
      & ~ left_convergent_lines(X0,X1) ),
    inference(ennf_transformation,[],[f47]) ).

fof(f47,plain,
    ! [X0,X1] :
      ~ ( left_convergent_lines(X0,reverse_line(X1))
        | left_convergent_lines(X0,X1) ),
    inference(rectify,[],[f16]) ).

fof(f16,axiom,
    ! [X1,X2] :
      ~ ( left_convergent_lines(X1,reverse_line(X2))
        | left_convergent_lines(X1,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.zBEEPBoxbw/Vampire---4.8_4022',oag11) ).

fof(f116,plain,
    ! [X0,X1] : ~ left_convergent_lines(X0,X1),
    inference(cnf_transformation,[],[f76]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : GEO255+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.07/0.14  % 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 : n009.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 18:53:26 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.zBEEPBoxbw/Vampire---4.8_4022
% 0.54/0.73  % (4306)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)
% 0.54/0.73  % (4300)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)
% 0.54/0.73  % (4302)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.54/0.73  % (4303)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)
% 0.54/0.73  % (4304)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)
% 0.54/0.73  % (4305)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)
% 0.54/0.73  % (4305)Refutation not found, incomplete strategy% (4305)------------------------------
% 0.54/0.73  % (4305)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.54/0.73  % (4305)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.73  
% 0.54/0.73  % (4300)Refutation not found, incomplete strategy% (4300)------------------------------
% 0.54/0.73  % (4300)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.54/0.73  % (4300)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.73  
% 0.54/0.73  % (4300)Memory used [KB]: 1050
% 0.54/0.73  % (4300)Time elapsed: 0.003 s
% 0.54/0.73  % (4300)Instructions burned: 3 (million)
% 0.54/0.73  % (4300)------------------------------
% 0.54/0.73  % (4300)------------------------------
% 0.54/0.73  % (4305)Memory used [KB]: 1048
% 0.54/0.73  % (4305)Time elapsed: 0.003 s
% 0.54/0.73  % (4305)Instructions burned: 2 (million)
% 0.54/0.73  % (4305)------------------------------
% 0.54/0.73  % (4305)------------------------------
% 0.54/0.73  % (4307)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)
% 0.54/0.73  % (4306)First to succeed.
% 0.54/0.74  % (4306)Refutation found. Thanks to Tanya!
% 0.54/0.74  % SZS status Theorem for Vampire---4
% 0.54/0.74  % SZS output start Proof for Vampire---4
% See solution above
% 0.54/0.74  % (4306)------------------------------
% 0.54/0.74  % (4306)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.54/0.74  % (4306)Termination reason: Refutation
% 0.54/0.74  
% 0.54/0.74  % (4306)Memory used [KB]: 1140
% 0.54/0.74  % (4306)Time elapsed: 0.005 s
% 0.54/0.74  % (4306)Instructions burned: 11 (million)
% 0.54/0.74  % (4306)------------------------------
% 0.54/0.74  % (4306)------------------------------
% 0.54/0.74  % (4292)Success in time 0.374 s
% 0.54/0.74  % Vampire---4.8 exiting
%------------------------------------------------------------------------------