TSTP Solution File: SET025-4 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET025-4 : TPTP v8.1.2. Released v1.0.0.
% 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 : n027.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 : Thu Aug 31 15:35:38 EDT 2023

% Result   : Unsatisfiable 0.21s 0.42s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of formulae    :    7 (   7 unt;   0 def)
%            Number of atoms       :    7 (   3 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :    7 (;   7   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f282,plain,
    $false,
    inference(subsumption_resolution,[],[f146,f8]) ).

fof(f8,axiom,
    ! [X0,X1] : little_set(non_ordered_pair(X0,X1)),
    file('/export/starexec/sandbox/tmp/tmp.11C78NWVR8/Vampire---4.8_19727',non_ordered_pair4) ).

fof(f146,plain,
    ~ little_set(non_ordered_pair(non_ordered_pair(a,a),non_ordered_pair(a,b))),
    inference(definition_unfolding,[],[f142,f144]) ).

fof(f144,plain,
    ! [X0,X1] : ordered_pair(X0,X1) = non_ordered_pair(non_ordered_pair(X0,X0),non_ordered_pair(X0,X1)),
    inference(definition_unfolding,[],[f10,f9]) ).

fof(f9,axiom,
    ! [X0] : singleton_set(X0) = non_ordered_pair(X0,X0),
    file('/export/starexec/sandbox/tmp/tmp.11C78NWVR8/Vampire---4.8_19727',singleton_set) ).

fof(f10,axiom,
    ! [X0,X1] : ordered_pair(X0,X1) = non_ordered_pair(singleton_set(X0),non_ordered_pair(X0,X1)),
    file('/export/starexec/sandbox/tmp/tmp.11C78NWVR8/Vampire---4.8_19727',ordered_pair) ).

fof(f142,axiom,
    ~ little_set(ordered_pair(a,b)),
    file('/export/starexec/sandbox/tmp/tmp.11C78NWVR8/Vampire---4.8_19727',prove_ordered_pairs_are_small) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SET025-4 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.13/0.35  % Computer : n027.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Sat Aug 26 14:58:05 EDT 2023
% 0.13/0.36  % CPUTime    : 
% 0.13/0.36  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.13/0.36  Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.11C78NWVR8/Vampire---4.8_19727
% 0.13/0.36  % (19838)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42  % (19843)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)
% 0.21/0.42  % (19839)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)
% 0.21/0.42  % (19842)ott+1011_4_er=known:fsd=off:nm=4:tgt=ground_499 on Vampire---4 for (499ds/0Mi)
% 0.21/0.42  % (19841)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)
% 0.21/0.42  % (19840)lrs-1004_3_av=off:ep=RSTC:fsd=off:fsr=off:urr=ec_only:stl=62_525 on Vampire---4 for (525ds/0Mi)
% 0.21/0.42  % (19845)ott+1010_2:5_bd=off:fsd=off:fde=none:nm=16:sos=on_419 on Vampire---4 for (419ds/0Mi)
% 0.21/0.42  % (19844)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)
% 0.21/0.42  % (19845)Refutation not found, incomplete strategy% (19845)------------------------------
% 0.21/0.42  % (19845)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.42  % (19845)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.42  % (19845)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.42  
% 0.21/0.42  % (19845)Memory used [KB]: 5628
% 0.21/0.42  % (19845)Time elapsed: 0.004 s
% 0.21/0.42  % (19845)------------------------------
% 0.21/0.42  % (19845)------------------------------
% 0.21/0.42  % (19844)First to succeed.
% 0.21/0.42  % (19843)Refutation not found, incomplete strategy% (19843)------------------------------
% 0.21/0.42  % (19843)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.42  % (19843)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.42  % (19843)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.42  
% 0.21/0.42  % (19843)Memory used [KB]: 5756
% 0.21/0.42  % (19843)Time elapsed: 0.006 s
% 0.21/0.42  % (19843)------------------------------
% 0.21/0.42  % (19843)------------------------------
% 0.21/0.42  % (19842)Also succeeded, but the first one will report.
% 0.21/0.42  % (19844)Refutation found. Thanks to Tanya!
% 0.21/0.42  % SZS status Unsatisfiable for Vampire---4
% 0.21/0.42  % SZS output start Proof for Vampire---4
% See solution above
% 0.21/0.42  % (19844)------------------------------
% 0.21/0.42  % (19844)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.42  % (19844)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.42  % (19844)Termination reason: Refutation
% 0.21/0.42  
% 0.21/0.42  % (19844)Memory used [KB]: 1151
% 0.21/0.42  % (19844)Time elapsed: 0.005 s
% 0.21/0.42  % (19844)------------------------------
% 0.21/0.42  % (19844)------------------------------
% 0.21/0.42  % (19838)Success in time 0.058 s
% 0.21/0.42  % Vampire---4.8 exiting
%------------------------------------------------------------------------------