TSTP Solution File: SET838-1 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET838-1 : TPTP v8.1.2. Released v3.2.0.
% 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 : n026.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 15:45:53 EDT 2023

% Result   : Unsatisfiable 0.27s 0.52s
% Output   : Refutation 0.27s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   13 (   7 unt;   0 def)
%            Number of atoms       :   19 (  18 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   16 (  10   ~;   6   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   1 con; 0-1 aty)
%            Number of variables   :    3 (;   3   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1385,plain,
    $false,
    inference(trivial_inequality_removal,[],[f1384]) ).

fof(f1384,plain,
    v_g(v_x) != v_g(v_x),
    inference(superposition,[],[f1366,f1377]) ).

fof(f1377,plain,
    v_g(v_x) = v_xa(v_g(v_x)),
    inference(backward_demodulation,[],[f1368,f1374]) ).

fof(f1374,plain,
    v_x = v_f(v_xa(v_g(v_x))),
    inference(trivial_inequality_removal,[],[f1373]) ).

fof(f1373,plain,
    ( v_f(v_xa(v_g(v_x))) != v_f(v_xa(v_g(v_x)))
    | v_x = v_f(v_xa(v_g(v_x))) ),
    inference(superposition,[],[f1359,f1368]) ).

fof(f1359,axiom,
    ! [X41] :
      ( v_f(v_g(X41)) != X41
      | v_x = X41 ),
    file('/export/starexec/sandbox/tmp/tmp.M8aX0jGvnF/Vampire---4.8_25557',cls_conjecture_1) ).

fof(f1368,plain,
    v_xa(v_g(v_x)) = v_g(v_f(v_xa(v_g(v_x)))),
    inference(trivial_inequality_removal,[],[f1367]) ).

fof(f1367,plain,
    ( v_g(v_x) != v_g(v_x)
    | v_xa(v_g(v_x)) = v_g(v_f(v_xa(v_g(v_x)))) ),
    inference(superposition,[],[f1360,f1358]) ).

fof(f1358,axiom,
    v_x = v_f(v_g(v_x)),
    file('/export/starexec/sandbox/tmp/tmp.M8aX0jGvnF/Vampire---4.8_25557',cls_conjecture_0) ).

fof(f1360,axiom,
    ! [X41] :
      ( v_g(v_f(X41)) != X41
      | v_xa(X41) = v_g(v_f(v_xa(X41))) ),
    file('/export/starexec/sandbox/tmp/tmp.M8aX0jGvnF/Vampire---4.8_25557',cls_conjecture_2) ).

fof(f1366,plain,
    v_g(v_x) != v_xa(v_g(v_x)),
    inference(trivial_inequality_removal,[],[f1365]) ).

fof(f1365,plain,
    ( v_g(v_x) != v_g(v_x)
    | v_g(v_x) != v_xa(v_g(v_x)) ),
    inference(superposition,[],[f1361,f1358]) ).

fof(f1361,axiom,
    ! [X41] :
      ( v_g(v_f(X41)) != X41
      | v_xa(X41) != X41 ),
    file('/export/starexec/sandbox/tmp/tmp.M8aX0jGvnF/Vampire---4.8_25557',cls_conjecture_3) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.20  % Problem    : SET838-1 : TPTP v8.1.2. Released v3.2.0.
% 0.11/0.21  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.21/0.42  % Computer : n026.cluster.edu
% 0.21/0.42  % Model    : x86_64 x86_64
% 0.21/0.42  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.21/0.42  % Memory   : 8042.1875MB
% 0.21/0.42  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.21/0.42  % CPULimit   : 300
% 0.21/0.42  % WCLimit    : 300
% 0.21/0.42  % DateTime   : Sat Aug 26 09:40:48 EDT 2023
% 0.21/0.43  % CPUTime    : 
% 0.21/0.43  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.21/0.43  Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.M8aX0jGvnF/Vampire---4.8_25557
% 0.21/0.43  % (25671)Running in auto input_syntax mode. Trying TPTP
% 0.27/0.51  % (25675)dis-1010_4:3_afr=on:amm=off:bsr=on:bce=on:drc=off:fsd=off:fde=unused:gs=on:gsaa=from_current:irw=on:nwc=1.3:nicw=on:sas=z3:tgt=full:urr=ec_only_619 on Vampire---4 for (619ds/0Mi)
% 0.27/0.51  % (25674)lrs+1010_4_aac=none:add=off:afr=on:amm=off:anc=all_dependent:bd=off:cond=on:drc=off:flr=on:fde=none:gs=on:lma=on:nm=16:nwc=1.1:sims=off:sos=all:sac=on:sp=occurrence:stl=188_669 on Vampire---4 for (669ds/0Mi)
% 0.27/0.51  % (25673)dis+1010_4:1_anc=none:bd=off:drc=off:flr=on:fsr=off:nm=4:nwc=1.1:nicw=on:sas=z3_957 on Vampire---4 for (957ds/0Mi)
% 0.27/0.51  % (25678)dis+1011_3:2_av=off:ep=RST:fsd=off:fde=none:gsp=on:nm=2:nwc=2.0:sos=on:sp=reverse_frequency_405 on Vampire---4 for (405ds/0Mi)
% 0.27/0.51  % (25677)ott+10_8_br=off:cond=on:fsr=off:gsp=on:nm=16:nwc=3.0:sims=off:sp=reverse_frequency:urr=on_432 on Vampire---4 for (432ds/0Mi)
% 0.27/0.51  % (25672)lrs-1010_2_av=off:bce=on:cond=on:er=filter:fde=unused:lcm=predicate:nm=2:nwc=3.0:sims=off:sp=frequency:urr=on:stl=188_1064 on Vampire---4 for (1064ds/0Mi)
% 0.27/0.51  % (25676)lrs+1002_9_av=off:bs=on:bsr=on:bce=on:cond=on:drc=off:er=filter:flr=on:fsd=off:fsr=off:fde=unused:lcm=predicate:nm=2:nwc=1.3:sims=off:stl=62_466 on Vampire---4 for (466ds/0Mi)
% 0.27/0.52  % (25677)First to succeed.
% 0.27/0.52  % (25674)Also succeeded, but the first one will report.
% 0.27/0.52  % (25677)Refutation found. Thanks to Tanya!
% 0.27/0.52  % SZS status Unsatisfiable for Vampire---4
% 0.27/0.52  % SZS output start Proof for Vampire---4
% See solution above
% 0.27/0.52  % (25677)------------------------------
% 0.27/0.52  % (25677)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.27/0.52  % (25677)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.27/0.52  % (25677)Termination reason: Refutation
% 0.27/0.52  
% 0.27/0.52  % (25677)Memory used [KB]: 6908
% 0.27/0.52  % (25677)Time elapsed: 0.013 s
% 0.27/0.52  % (25677)------------------------------
% 0.27/0.52  % (25677)------------------------------
% 0.27/0.52  % (25671)Success in time 0.083 s
% 0.27/0.52  % Vampire---4.8 exiting
%------------------------------------------------------------------------------