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

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---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 : n012.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 23:29:45 EDT 2023

% Result   : Unsatisfiable 0.15s 0.43s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   16 (   9 unt;   0 def)
%            Number of atoms       :   26 (   4 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   21 (  11   ~;  10   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    2 (   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   :   43 (;  43   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f66,plain,
    $false,
    inference(resolution,[],[f59,f21]) ).

fof(f21,axiom,
    ~ between(a,a,b),
    file('/export/starexec/sandbox/tmp/tmp.SVDNkhwQDl/Vampire---4.8_24635',prove_a_between_a_and_b) ).

fof(f59,plain,
    ! [X0,X1] : between(X0,X0,X1),
    inference(subsumption_resolution,[],[f58,f25]) ).

fof(f25,plain,
    ! [X3,X4] : between(X3,X4,X4),
    inference(superposition,[],[f13,f23]) ).

fof(f23,plain,
    ! [X2,X0,X1] : extension(X1,X0,X2,X2) = X0,
    inference(resolution,[],[f14,f5]) ).

fof(f5,axiom,
    ! [X3,X0,X1] :
      ( ~ equidistant(X0,X1,X3,X3)
      | X0 = X1 ),
    file('/export/starexec/sandbox/tmp/tmp.SVDNkhwQDl/Vampire---4.8_24635',identity_for_equidistance) ).

fof(f14,axiom,
    ! [X2,X0,X1,X5] : equidistant(X1,extension(X0,X1,X5,X2),X5,X2),
    file('/export/starexec/sandbox/tmp/tmp.SVDNkhwQDl/Vampire---4.8_24635',segment_construction2) ).

fof(f13,axiom,
    ! [X2,X0,X1,X5] : between(X0,X1,extension(X0,X1,X5,X2)),
    file('/export/starexec/sandbox/tmp/tmp.SVDNkhwQDl/Vampire---4.8_24635',segment_construction1) ).

fof(f58,plain,
    ! [X0,X1] :
      ( between(X0,X0,X1)
      | ~ between(X1,X0,X0) ),
    inference(duplicate_literal_removal,[],[f56]) ).

fof(f56,plain,
    ! [X0,X1] :
      ( between(X0,X0,X1)
      | ~ between(X1,X0,X0)
      | ~ between(X1,X0,X0) ),
    inference(superposition,[],[f8,f51]) ).

fof(f51,plain,
    ! [X3,X4] : outer_pasch(X4,X3,X3,X4,X4) = X3,
    inference(resolution,[],[f48,f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( ~ between(X0,X1,X0)
      | X0 = X1 ),
    file('/export/starexec/sandbox/tmp/tmp.SVDNkhwQDl/Vampire---4.8_24635',identity_for_betweeness) ).

fof(f48,plain,
    ! [X6,X7,X5] : between(X5,outer_pasch(X6,X5,X7,X6,X6),X7),
    inference(resolution,[],[f36,f25]) ).

fof(f36,plain,
    ! [X8,X6,X9,X7] :
      ( ~ between(X6,X7,X8)
      | between(X9,outer_pasch(X7,X9,X6,X8,X7),X6) ),
    inference(resolution,[],[f7,f25]) ).

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/sandbox/tmp/tmp.SVDNkhwQDl/Vampire---4.8_24635',outer_pasch1) ).

fof(f8,axiom,
    ! [X2,X3,X0,X1,X5] :
      ( between(X3,X5,outer_pasch(X5,X0,X1,X3,X2))
      | ~ between(X1,X2,X3)
      | ~ between(X0,X5,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.SVDNkhwQDl/Vampire---4.8_24635',outer_pasch2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : GEO002-1 : TPTP v8.1.2. Bugfixed v2.5.0.
% 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 : n012.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   : Tue Aug 29 23:08:08 EDT 2023
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.15/0.36  Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.SVDNkhwQDl/Vampire---4.8_24635
% 0.15/0.36  % (24792)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.42  % (24799)ott+11_14_av=off:bs=on:bsr=on:cond=on:flr=on:fsd=off:fde=unused:gsp=on:nm=4:nwc=1.5:tgt=full_386 on Vampire---4 for (386ds/0Mi)
% 0.15/0.42  % (24798)dis+1011_4_add=large:amm=off:sims=off:sac=on:sp=frequency:tgt=ground_413 on Vampire---4 for (413ds/0Mi)
% 0.15/0.42  % (24795)dis-11_4:1_aac=none:add=off:afr=on:anc=none:bd=preordered:bs=on:bsr=on:drc=off:fsr=off:fde=none:gsp=on:irw=on:lcm=reverse:lma=on:nm=0:nwc=1.7:nicw=on:sas=z3:sims=off:sos=all:sac=on:sp=weighted_frequency:tgt=full_602 on Vampire---4 for (602ds/0Mi)
% 0.15/0.42  % (24793)lrs+10_11_cond=on:drc=off:flr=on:fsr=off:gsp=on:gs=on:gsem=off:lma=on:msp=off:nm=4:nwc=1.5:nicw=on:sas=z3:sims=off:sp=scramble:stl=188_730 on Vampire---4 for (730ds/0Mi)
% 0.15/0.42  % (24796)lrs-3_8_anc=none:bce=on:cond=on:drc=off:flr=on:fsd=off:fsr=off:fde=unused:gsp=on:gs=on:gsaa=full_model:lcm=predicate:lma=on:nm=16:sos=all:sp=weighted_frequency:tgt=ground:urr=ec_only:stl=188_482 on Vampire---4 for (482ds/0Mi)
% 0.15/0.42  % (24794)dis+1010_4:1_anc=none:bd=off:drc=off:flr=on:fsr=off:nm=4:nwc=1.1:nicw=on:sas=z3_680 on Vampire---4 for (680ds/0Mi)
% 0.15/0.42  % (24797)lrs+1010_20_av=off:bd=off:bs=on:bsr=on:bce=on:flr=on:fde=none:gsp=on:nwc=3.0:tgt=ground:urr=ec_only:stl=125_424 on Vampire---4 for (424ds/0Mi)
% 0.15/0.43  % (24798)First to succeed.
% 0.15/0.43  % (24796)Refutation not found, incomplete strategy% (24796)------------------------------
% 0.15/0.43  % (24796)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.15/0.43  % (24796)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.15/0.43  % (24796)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.43  
% 0.15/0.43  % (24796)Memory used [KB]: 9978
% 0.15/0.43  % (24796)Time elapsed: 0.005 s
% 0.15/0.43  % (24796)------------------------------
% 0.15/0.43  % (24796)------------------------------
% 0.15/0.43  % (24798)Refutation found. Thanks to Tanya!
% 0.15/0.43  % SZS status Unsatisfiable for Vampire---4
% 0.15/0.43  % SZS output start Proof for Vampire---4
% See solution above
% 0.15/0.43  % (24798)------------------------------
% 0.15/0.43  % (24798)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.15/0.43  % (24798)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.15/0.43  % (24798)Termination reason: Refutation
% 0.15/0.43  
% 0.15/0.43  % (24798)Memory used [KB]: 5500
% 0.15/0.43  % (24798)Time elapsed: 0.005 s
% 0.15/0.43  % (24798)------------------------------
% 0.15/0.43  % (24798)------------------------------
% 0.15/0.43  % (24792)Success in time 0.064 s
% 0.15/0.43  % Vampire---4.8 exiting
%------------------------------------------------------------------------------