TSTP Solution File: GEO126-1 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GEO126-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s

% Computer : n025.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 Aug 30 23:31:04 EDT 2023

% Result   : Unsatisfiable 0.20s 0.43s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   27 (  12 unt;   0 def)
%            Number of atoms       :   46 (  10 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   38 (  19   ~;  19   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   1 con; 0-1 aty)
%            Number of variables   :   32 (;  32   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f357,plain,
    $false,
    inference(subsumption_resolution,[],[f356,f282]) ).

fof(f282,plain,
    ~ inner_point(ax2_sk6(sk25),ax2_sk3(sk25)),
    inference(superposition,[],[f114,f266]) ).

fof(f266,plain,
    ax2_sk6(sk25) = ax0_sk6(ax2_sk3(sk25)),
    inference(resolution,[],[f201,f115]) ).

fof(f115,plain,
    ! [X2] : incident_c(ax0_sk6(ax2_sk3(X2)),ax2_sk3(X2)),
    inference(resolution,[],[f112,f13]) ).

fof(f13,axiom,
    ! [X0,X1] :
      ( ~ end_point(X0,X1)
      | incident_c(X0,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.tlaBpQQSfe/Vampire---4.8_13675',end_point_defn_13) ).

fof(f112,plain,
    ! [X0] : end_point(ax0_sk6(ax2_sk3(X0)),ax2_sk3(X0)),
    inference(resolution,[],[f107,f108]) ).

fof(f108,plain,
    ! [X0] : end_point(ax0_sk7(ax2_sk3(X0)),ax2_sk3(X0)),
    inference(resolution,[],[f33,f73]) ).

fof(f73,axiom,
    ! [X0] : open(ax2_sk3(X0)),
    file('/export/starexec/sandbox2/tmp/tmp.tlaBpQQSfe/Vampire---4.8_13675',o2_19) ).

fof(f33,axiom,
    ! [X0] :
      ( ~ open(X0)
      | end_point(ax0_sk7(X0),X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.tlaBpQQSfe/Vampire---4.8_13675',open_defn_33) ).

fof(f107,plain,
    ! [X0,X1] :
      ( ~ end_point(X1,X0)
      | end_point(ax0_sk6(X0),X0) ),
    inference(resolution,[],[f32,f31]) ).

fof(f31,axiom,
    ! [X0,X1] :
      ( ~ closed(X0)
      | ~ end_point(X1,X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.tlaBpQQSfe/Vampire---4.8_13675',closed_defn_31) ).

fof(f32,axiom,
    ! [X0] :
      ( closed(X0)
      | end_point(ax0_sk6(X0),X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.tlaBpQQSfe/Vampire---4.8_13675',closed_defn_32) ).

fof(f201,plain,
    ! [X1] :
      ( ~ incident_c(X1,ax2_sk3(sk25))
      | ax2_sk6(sk25) = X1 ),
    inference(resolution,[],[f197,f75]) ).

fof(f75,axiom,
    ! [X0,X1] :
      ( incident_o(X0,X1)
      | ~ incident_c(X0,ax2_sk3(X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.tlaBpQQSfe/Vampire---4.8_13675',o2_21) ).

fof(f197,plain,
    ! [X0] :
      ( ~ incident_o(X0,sk25)
      | ax2_sk6(sk25) = X0 ),
    inference(duplicate_literal_removal,[],[f194]) ).

fof(f194,plain,
    ! [X0] :
      ( ax2_sk6(sk25) = X0
      | ~ incident_o(X0,sk25)
      | ax2_sk6(sk25) = X0 ),
    inference(resolution,[],[f192,f97]) ).

fof(f97,axiom,
    ! [X0,X1] :
      ( ~ ordered_by(sk25,X0,X1)
      | X0 = X1 ),
    file('/export/starexec/sandbox2/tmp/tmp.tlaBpQQSfe/Vampire---4.8_13675',theorem_4_11_133) ).

fof(f192,plain,
    ! [X0,X1] :
      ( ordered_by(X1,ax2_sk6(X1),X0)
      | ax2_sk6(X1) = X0
      | ~ incident_o(X0,X1) ),
    inference(resolution,[],[f62,f83]) ).

fof(f83,axiom,
    ! [X0] : start_point(ax2_sk6(X0),X0),
    file('/export/starexec/sandbox2/tmp/tmp.tlaBpQQSfe/Vampire---4.8_13675',o4_29) ).

fof(f62,axiom,
    ! [X2,X0,X1] :
      ( ~ start_point(X0,X1)
      | ~ incident_o(X2,X1)
      | X0 = X2
      | ordered_by(X1,X0,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.tlaBpQQSfe/Vampire---4.8_13675',start_point_defn_8) ).

fof(f114,plain,
    ! [X1] : ~ inner_point(ax0_sk6(ax2_sk3(X1)),ax2_sk3(X1)),
    inference(resolution,[],[f112,f22]) ).

fof(f22,axiom,
    ! [X0,X1] :
      ( ~ end_point(X0,X1)
      | ~ inner_point(X0,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.tlaBpQQSfe/Vampire---4.8_13675',inner_point_defn_22) ).

fof(f356,plain,
    inner_point(ax2_sk6(sk25),ax2_sk3(sk25)),
    inference(superposition,[],[f37,f351]) ).

fof(f351,plain,
    ax2_sk6(sk25) = ax0_sk8(ax2_sk3(sk25)),
    inference(resolution,[],[f258,f37]) ).

fof(f258,plain,
    ! [X3] :
      ( ~ inner_point(X3,ax2_sk3(sk25))
      | ax2_sk6(sk25) = X3 ),
    inference(resolution,[],[f201,f21]) ).

fof(f21,axiom,
    ! [X0,X1] :
      ( incident_c(X0,X1)
      | ~ inner_point(X0,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.tlaBpQQSfe/Vampire---4.8_13675',inner_point_defn_21) ).

fof(f37,axiom,
    ! [X0] : inner_point(ax0_sk8(X0),X0),
    file('/export/starexec/sandbox2/tmp/tmp.tlaBpQQSfe/Vampire---4.8_13675',c3_37) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : GEO126-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.15  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.35  % Computer : n025.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 Aug 29 21:35:56 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.14/0.36  Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.tlaBpQQSfe/Vampire---4.8_13675
% 0.14/0.36  % (13879)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42  % (13884)ott+11_8:1_aac=none:amm=sco:anc=none:er=known:flr=on:fde=unused:irw=on:nm=0:nwc=1.2:nicw=on:sims=off:sos=all:sac=on_470 on Vampire---4 for (470ds/0Mi)
% 0.20/0.42  % (13886)ott+1010_2:5_bd=off:fsd=off:fde=none:nm=16:sos=on_419 on Vampire---4 for (419ds/0Mi)
% 0.20/0.42  % (13881)lrs-1004_3_av=off:ep=RSTC:fsd=off:fsr=off:urr=ec_only:stl=62_525 on Vampire---4 for (525ds/0Mi)
% 0.20/0.42  % (13880)lrs+1011_1_bd=preordered:flr=on:fsd=off:fsr=off:irw=on:lcm=reverse:msp=off:nm=2:nwc=10.0:sos=on:sp=reverse_weighted_frequency:tgt=full:stl=62_562 on Vampire---4 for (562ds/0Mi)
% 0.20/0.42  % (13883)ott+1011_4_er=known:fsd=off:nm=4:tgt=ground_499 on Vampire---4 for (499ds/0Mi)
% 0.20/0.42  % (13882)lrs+10_4:5_amm=off:bsr=on:bce=on:flr=on:fsd=off:fde=unused:gs=on:gsem=on:lcm=predicate:sos=all:tgt=ground:stl=62_514 on Vampire---4 for (514ds/0Mi)
% 0.20/0.42  % (13885)lrs+10_1024_av=off:bsr=on:br=off:ep=RSTC:fsd=off:irw=on:nm=4:nwc=1.1:sims=off:urr=on:stl=125_440 on Vampire---4 for (440ds/0Mi)
% 0.20/0.43  % (13880)Refutation not found, incomplete strategy% (13880)------------------------------
% 0.20/0.43  % (13880)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.20/0.43  % (13880)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.20/0.43  % (13880)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.43  
% 0.20/0.43  % (13880)Memory used [KB]: 5628
% 0.20/0.43  % (13880)Time elapsed: 0.009 s
% 0.20/0.43  % (13880)------------------------------
% 0.20/0.43  % (13880)------------------------------
% 0.20/0.43  % (13883)First to succeed.
% 0.20/0.43  % (13883)Refutation found. Thanks to Tanya!
% 0.20/0.43  % SZS status Unsatisfiable for Vampire---4
% 0.20/0.43  % SZS output start Proof for Vampire---4
% See solution above
% 0.20/0.43  % (13883)------------------------------
% 0.20/0.43  % (13883)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.20/0.43  % (13883)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.20/0.43  % (13883)Termination reason: Refutation
% 0.20/0.43  
% 0.20/0.43  % (13883)Memory used [KB]: 5756
% 0.20/0.43  % (13883)Time elapsed: 0.014 s
% 0.20/0.43  % (13883)------------------------------
% 0.20/0.43  % (13883)------------------------------
% 0.20/0.43  % (13879)Success in time 0.075 s
% 0.20/0.44  % Vampire---4.8 exiting
%------------------------------------------------------------------------------