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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---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 : n007.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 : Fri Sep  1 14:42:56 EDT 2023

% Result   : Unsatisfiable 0.22s 0.48s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   24 (   9 unt;   0 def)
%            Number of atoms       :   44 (  12 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   42 (  22   ~;  20   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   1 con; 0-1 aty)
%            Number of variables   :   26 (;  26   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f409,plain,
    $false,
    inference(resolution,[],[f407,f73]) ).

fof(f73,axiom,
    ! [X0] : open(ax2_sk3(X0)),
    file('/export/starexec/sandbox2/tmp/tmp.jqjvid6nXu/Vampire---4.8_9267',o2_19) ).

fof(f407,plain,
    ~ open(ax2_sk3(sk25)),
    inference(resolution,[],[f406,f286]) ).

fof(f286,plain,
    ~ end_point(ax2_sk6(sk25),ax2_sk3(sk25)),
    inference(superposition,[],[f98,f273]) ).

fof(f273,plain,
    ax2_sk6(sk25) = ax0_sk8(ax2_sk3(sk25)),
    inference(resolution,[],[f223,f37]) ).

fof(f37,axiom,
    ! [X0] : inner_point(ax0_sk8(X0),X0),
    file('/export/starexec/sandbox2/tmp/tmp.jqjvid6nXu/Vampire---4.8_9267',c3_37) ).

fof(f223,plain,
    ! [X3] :
      ( ~ inner_point(X3,ax2_sk3(sk25))
      | ax2_sk6(sk25) = X3 ),
    inference(resolution,[],[f197,f21]) ).

fof(f21,axiom,
    ! [X0,X1] :
      ( incident_c(X0,X1)
      | ~ inner_point(X0,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.jqjvid6nXu/Vampire---4.8_9267',inner_point_defn_21) ).

fof(f197,plain,
    ! [X1] :
      ( ~ incident_c(X1,ax2_sk3(sk25))
      | ax2_sk6(sk25) = X1 ),
    inference(resolution,[],[f194,f75]) ).

fof(f75,axiom,
    ! [X0,X1] :
      ( incident_o(X0,X1)
      | ~ incident_c(X0,ax2_sk3(X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.jqjvid6nXu/Vampire---4.8_9267',o2_21) ).

fof(f194,plain,
    ! [X0] :
      ( ~ incident_o(X0,sk25)
      | ax2_sk6(sk25) = X0 ),
    inference(resolution,[],[f193,f83]) ).

fof(f83,axiom,
    ! [X0] : start_point(ax2_sk6(X0),X0),
    file('/export/starexec/sandbox2/tmp/tmp.jqjvid6nXu/Vampire---4.8_9267',o4_29) ).

fof(f193,plain,
    ! [X0,X1] :
      ( ~ start_point(X1,sk25)
      | X0 = X1
      | ~ incident_o(X0,sk25) ),
    inference(duplicate_literal_removal,[],[f190]) ).

fof(f190,plain,
    ! [X0,X1] :
      ( ~ incident_o(X0,sk25)
      | X0 = X1
      | ~ start_point(X1,sk25)
      | X0 = X1 ),
    inference(resolution,[],[f62,f97]) ).

fof(f97,axiom,
    ! [X0,X1] :
      ( ~ ordered_by(sk25,X0,X1)
      | X0 = X1 ),
    file('/export/starexec/sandbox2/tmp/tmp.jqjvid6nXu/Vampire---4.8_9267',theorem_4_11_133) ).

fof(f62,axiom,
    ! [X2,X0,X1] :
      ( ordered_by(X1,X0,X2)
      | ~ incident_o(X2,X1)
      | X0 = X2
      | ~ start_point(X0,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.jqjvid6nXu/Vampire---4.8_9267',start_point_defn_8) ).

fof(f98,plain,
    ! [X0] : ~ end_point(ax0_sk8(X0),X0),
    inference(resolution,[],[f22,f37]) ).

fof(f22,axiom,
    ! [X0,X1] :
      ( ~ inner_point(X0,X1)
      | ~ end_point(X0,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.jqjvid6nXu/Vampire---4.8_9267',inner_point_defn_22) ).

fof(f406,plain,
    ( end_point(ax2_sk6(sk25),ax2_sk3(sk25))
    | ~ open(ax2_sk3(sk25)) ),
    inference(superposition,[],[f33,f397]) ).

fof(f397,plain,
    ax2_sk6(sk25) = ax0_sk7(ax2_sk3(sk25)),
    inference(resolution,[],[f309,f73]) ).

fof(f309,plain,
    ( ~ open(ax2_sk3(sk25))
    | ax2_sk6(sk25) = ax0_sk7(ax2_sk3(sk25)) ),
    inference(resolution,[],[f224,f33]) ).

fof(f224,plain,
    ! [X4] :
      ( ~ end_point(X4,ax2_sk3(sk25))
      | ax2_sk6(sk25) = X4 ),
    inference(resolution,[],[f197,f13]) ).

fof(f13,axiom,
    ! [X0,X1] :
      ( incident_c(X0,X1)
      | ~ end_point(X0,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.jqjvid6nXu/Vampire---4.8_9267',end_point_defn_13) ).

fof(f33,axiom,
    ! [X0] :
      ( end_point(ax0_sk7(X0),X0)
      | ~ open(X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.jqjvid6nXu/Vampire---4.8_9267',open_defn_33) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : GEO126-1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.15  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36  % Computer : n007.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Wed Aug 30 17:58:14 EDT 2023
% 0.15/0.36  % CPUTime    : 
% 0.22/0.45  % (9418)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.46  % (9419)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.22/0.46  % (9425)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on Vampire---4 for (497ds/0Mi)
% 0.22/0.46  % (9424)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on Vampire---4 for (522ds/0Mi)
% 0.22/0.46  % (9422)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.22/0.46  % (9420)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.22/0.46  % (9423)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on Vampire---4 for (531ds/0Mi)
% 0.22/0.46  TRYING [1]
% 0.22/0.47  TRYING [2]
% 0.22/0.47  % (9421)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on Vampire---4 for (569ds/0Mi)
% 0.22/0.48  TRYING [3]
% 0.22/0.48  % (9424)First to succeed.
% 0.22/0.48  % (9424)Refutation found. Thanks to Tanya!
% 0.22/0.48  % SZS status Unsatisfiable for Vampire---4
% 0.22/0.48  % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.48  % (9424)------------------------------
% 0.22/0.48  % (9424)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.48  % (9424)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.48  % (9424)Termination reason: Refutation
% 0.22/0.48  
% 0.22/0.48  % (9424)Memory used [KB]: 1535
% 0.22/0.48  % (9424)Time elapsed: 0.017 s
% 0.22/0.48  % (9424)------------------------------
% 0.22/0.48  % (9424)------------------------------
% 0.22/0.48  % (9418)Success in time 0.111 s
% 0.22/0.48  % Vampire---4.8 exiting
%------------------------------------------------------------------------------