TSTP Solution File: SET018-7 by Vampire-SAT---4.8

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SET018-7 : TPTP v8.1.2. Bugfixed v7.3.0.
% 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 : n004.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 22:10:49 EDT 2023

% Result   : Unsatisfiable 2.56s 0.80s
% Output   : Refutation 2.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% Syntax   : Number of formulae    :    9 (   6 unt;   0 def)
%            Number of atoms       :   14 (   9 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   12 (   7   ~;   5   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :    6 (;   6   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f10006,plain,
    $false,
    inference(trivial_inequality_removal,[],[f10005]) ).

fof(f10005,plain,
    x != x,
    inference(superposition,[],[f170,f9066]) ).

fof(f9066,plain,
    x = z,
    inference(resolution,[],[f9065,f169]) ).

fof(f169,axiom,
    member(x,universal_class),
    file('/export/starexec/sandbox/tmp/tmp.keF9m9k28R/Vampire---4.8_15410',prove_ordered_pair_determines_components2_2) ).

fof(f9065,plain,
    ( ~ member(x,universal_class)
    | x = z ),
    inference(equality_resolution,[],[f3385]) ).

fof(f3385,plain,
    ! [X0,X1] :
      ( ordered_pair(X0,X1) != ordered_pair(w,x)
      | z = X1
      | ~ member(X1,universal_class) ),
    inference(superposition,[],[f152,f168]) ).

fof(f168,axiom,
    ordered_pair(w,x) = ordered_pair(y,z),
    file('/export/starexec/sandbox/tmp/tmp.keF9m9k28R/Vampire---4.8_15410',prove_ordered_pair_determines_components2_1) ).

fof(f152,axiom,
    ! [X0,X1,X6,X4] :
      ( ordered_pair(X1,X4) != ordered_pair(X6,X0)
      | X0 = X4
      | ~ member(X0,universal_class) ),
    file('/export/starexec/sandbox/tmp/tmp.keF9m9k28R/Vampire---4.8_15410',ordered_pair_determines_components2) ).

fof(f170,axiom,
    x != z,
    file('/export/starexec/sandbox/tmp/tmp.keF9m9k28R/Vampire---4.8_15410',prove_ordered_pair_determines_components2_3) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.14/0.14  % Problem    : SET018-7 : TPTP v8.1.2. Bugfixed v7.3.0.
% 0.14/0.15  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.16/0.37  % Computer : n004.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 15:37:22 EDT 2023
% 0.16/0.37  % CPUTime    : 
% 0.23/0.43  % (15663)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.44  % (15692)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.23/0.44  % (15693)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.23/0.44  % (15695)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.23/0.44  % (15696)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)
% 0.23/0.44  % (15697)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)
% 0.23/0.44  % (15694)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)
% 0.23/0.44  % (15698)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)
% 0.23/0.45  TRYING [1]
% 0.23/0.45  TRYING [2]
% 0.23/0.47  TRYING [3]
% 0.23/0.49  TRYING [1]
% 0.23/0.50  TRYING [2]
% 0.23/0.55  TRYING [4]
% 0.23/0.59  TRYING [3]
% 0.23/0.69  TRYING [1]
% 0.23/0.69  TRYING [2]
% 0.23/0.70  TRYING [3]
% 0.23/0.70  TRYING [5]
% 2.31/0.74  TRYING [4]
% 2.31/0.75  TRYING [4]
% 2.56/0.80  % (15697)First to succeed.
% 2.56/0.80  % (15697)Refutation found. Thanks to Tanya!
% 2.56/0.80  % SZS status Unsatisfiable for Vampire---4
% 2.56/0.80  % SZS output start Proof for Vampire---4
% See solution above
% 2.56/0.80  % (15697)------------------------------
% 2.56/0.80  % (15697)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 2.56/0.80  % (15697)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 2.56/0.80  % (15697)Termination reason: Refutation
% 2.56/0.80  
% 2.56/0.80  % (15697)Memory used [KB]: 6780
% 2.56/0.80  % (15697)Time elapsed: 0.366 s
% 2.56/0.80  % (15697)------------------------------
% 2.56/0.80  % (15697)------------------------------
% 2.56/0.80  % (15663)Success in time 0.429 s
% 2.56/0.81  % Vampire---4.8 exiting
%------------------------------------------------------------------------------