TSTP Solution File: GEO002-1 by Vampire-SAT---4.8

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : GEO002-1 : TPTP v8.1.2. Bugfixed v2.5.0.
% 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 : n005.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 14:40:54 EDT 2023

% Result   : Unsatisfiable 0.23s 0.53s
% Output   : Refutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   14 (   9 unt;   0 def)
%            Number of atoms       :   22 (   2 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   18 (  10   ~;   8   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-4 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-5 aty)
%            Number of variables   :   46 (;  46   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f5036,plain,
    $false,
    inference(unit_resulting_resolution,[],[f29,f29,f2655,f8]) ).

fof(f8,axiom,
    ! [X2,X3,X0,X1,X5] :
      ( ~ between(X0,X5,X2)
      | ~ between(X1,X2,X3)
      | between(X3,X5,outer_pasch(X5,X0,X1,X3,X2)) ),
    file('/export/starexec/sandbox2/tmp/tmp.a6vkMPNZKt/Vampire---4.8_19736',outer_pasch2) ).

fof(f2655,plain,
    ! [X2,X0,X1] : ~ between(a,a,outer_pasch(X0,b,extension(a,b,X1,X2),X0,X0)),
    inference(unit_resulting_resolution,[],[f21,f1460,f2]) ).

fof(f2,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ between(X0,X1,X2)
      | ~ between(X1,X3,X2)
      | between(X0,X1,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.a6vkMPNZKt/Vampire---4.8_19736',transitivity_for_betweeness) ).

fof(f1460,plain,
    ! [X2,X3,X0,X1,X4] : between(X0,X1,outer_pasch(X2,X1,extension(X0,X1,X3,X4),X2,X2)),
    inference(unit_resulting_resolution,[],[f1445,f53]) ).

fof(f53,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ between(X0,X1,extension(X2,X0,X3,X4))
      | between(X2,X0,X1) ),
    inference(resolution,[],[f2,f13]) ).

fof(f13,axiom,
    ! [X2,X0,X1,X5] : between(X0,X1,extension(X0,X1,X5,X2)),
    file('/export/starexec/sandbox2/tmp/tmp.a6vkMPNZKt/Vampire---4.8_19736',segment_construction1) ).

fof(f1445,plain,
    ! [X2,X0,X1] : between(X0,outer_pasch(X1,X0,X2,X1,X1),X2),
    inference(unit_resulting_resolution,[],[f29,f29,f7]) ).

fof(f7,axiom,
    ! [X2,X3,X0,X1,X5] :
      ( ~ between(X0,X5,X2)
      | ~ between(X1,X2,X3)
      | between(X0,outer_pasch(X5,X0,X1,X3,X2),X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.a6vkMPNZKt/Vampire---4.8_19736',outer_pasch1) ).

fof(f21,axiom,
    ~ between(a,a,b),
    file('/export/starexec/sandbox2/tmp/tmp.a6vkMPNZKt/Vampire---4.8_19736',prove_a_between_a_and_b) ).

fof(f29,plain,
    ! [X3,X4] : between(X3,X4,X4),
    inference(superposition,[],[f13,f26]) ).

fof(f26,plain,
    ! [X2,X0,X1] : extension(X0,X1,X2,X2) = X1,
    inference(unit_resulting_resolution,[],[f14,f5]) ).

fof(f5,axiom,
    ! [X3,X0,X1] :
      ( ~ equidistant(X0,X1,X3,X3)
      | X0 = X1 ),
    file('/export/starexec/sandbox2/tmp/tmp.a6vkMPNZKt/Vampire---4.8_19736',identity_for_equidistance) ).

fof(f14,axiom,
    ! [X2,X0,X1,X5] : equidistant(X1,extension(X0,X1,X5,X2),X5,X2),
    file('/export/starexec/sandbox2/tmp/tmp.a6vkMPNZKt/Vampire---4.8_19736',segment_construction2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : GEO002-1 : TPTP v8.1.2. Bugfixed v2.5.0.
% 0.13/0.15  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.16/0.37  % Computer : n005.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit   : 300
% 0.16/0.37  % WCLimit    : 300
% 0.16/0.37  % DateTime   : Wed Aug 30 18:11:22 EDT 2023
% 0.16/0.37  % CPUTime    : 
% 0.23/0.43  % (19924)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.43  % (19966)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.23/0.43  % (19967)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.23/0.43  % (19969)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.23/0.43  % (19968)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)
% 0.23/0.43  % (19970)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)
% 0.23/0.43  % (19971)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)
% 0.23/0.43  % (19972)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)
% 0.23/0.43  TRYING [1]
% 0.23/0.43  TRYING [2]
% 0.23/0.44  TRYING [3]
% 0.23/0.44  TRYING [1]
% 0.23/0.44  TRYING [2]
% 0.23/0.44  TRYING [1]
% 0.23/0.45  TRYING [2]
% 0.23/0.45  TRYING [3]
% 0.23/0.50  TRYING [4]
% 0.23/0.52  TRYING [4]
% 0.23/0.53  % (19972)First to succeed.
% 0.23/0.53  % (19972)Refutation found. Thanks to Tanya!
% 0.23/0.53  % SZS status Unsatisfiable for Vampire---4
% 0.23/0.53  % SZS output start Proof for Vampire---4
% See solution above
% 0.23/0.53  % (19972)------------------------------
% 0.23/0.53  % (19972)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.53  % (19972)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.53  % (19972)Termination reason: Refutation
% 0.23/0.53  
% 0.23/0.53  % (19972)Memory used [KB]: 3198
% 0.23/0.53  % (19972)Time elapsed: 0.097 s
% 0.23/0.53  % (19972)------------------------------
% 0.23/0.53  % (19972)------------------------------
% 0.23/0.53  % (19924)Success in time 0.157 s
% 0.23/0.53  % Vampire---4.8 exiting
%------------------------------------------------------------------------------