TSTP Solution File: SET116-7 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET116-7 : TPTP v8.1.2. Bugfixed v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n003.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 May  1 03:45:12 EDT 2024

% Result   : Unsatisfiable 0.61s 0.82s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of formulae    :    9 (   7 unt;   0 def)
%            Number of atoms       :   11 (  10 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    5 (   3   ~;   2   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   1 con; 0-2 aty)
%            Number of variables   :    2 (   2   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f166,plain,
    $false,
    inference(subsumption_resolution,[],[f165,f163]) ).

fof(f163,plain,
    x != ordered_pair(x,second(x)),
    inference(backward_demodulation,[],[f160,f162]) ).

fof(f162,plain,
    x = first(x),
    inference(unit_resulting_resolution,[],[f160,f156]) ).

fof(f156,axiom,
    ! [X0] :
      ( first(X0) = X0
      | ordered_pair(first(X0),second(X0)) = X0 ),
    file('/export/starexec/sandbox/tmp/tmp.AYQtZ2jb82/Vampire---4.8_799',existence_of_1st_and_2nd_4) ).

fof(f160,axiom,
    x != ordered_pair(first(x),second(x)),
    file('/export/starexec/sandbox/tmp/tmp.AYQtZ2jb82/Vampire---4.8_799',prove_unique_1st_and_2nd_in_pair_of_non_sets4_1) ).

fof(f165,plain,
    x = ordered_pair(x,second(x)),
    inference(forward_demodulation,[],[f164,f162]) ).

fof(f164,plain,
    x = ordered_pair(first(x),second(x)),
    inference(unit_resulting_resolution,[],[f161,f157]) ).

fof(f157,axiom,
    ! [X0] :
      ( second(X0) = X0
      | ordered_pair(first(X0),second(X0)) = X0 ),
    file('/export/starexec/sandbox/tmp/tmp.AYQtZ2jb82/Vampire---4.8_799',existence_of_1st_and_2nd_5) ).

fof(f161,axiom,
    x != second(x),
    file('/export/starexec/sandbox/tmp/tmp.AYQtZ2jb82/Vampire---4.8_799',prove_unique_2nd_in_pair_of_non_sets) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem    : SET116-7 : TPTP v8.1.2. Bugfixed v7.3.0.
% 0.10/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.11/0.32  % Computer : n003.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Tue Apr 30 17:23:48 EDT 2024
% 0.11/0.32  % CPUTime    : 
% 0.11/0.32  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.11/0.32  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.AYQtZ2jb82/Vampire---4.8_799
% 0.61/0.82  % (923)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2995ds/34Mi)
% 0.61/0.82  % (924)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.61/0.82  % (922)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.61/0.82  % (919)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2995ds/34Mi)
% 0.61/0.82  % (921)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.61/0.82  % (920)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2995ds/51Mi)
% 0.61/0.82  % (925)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2995ds/83Mi)
% 0.61/0.82  % (926)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2995ds/56Mi)
% 0.61/0.82  % (926)Refutation not found, incomplete strategy% (926)------------------------------
% 0.61/0.82  % (926)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.82  % (926)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.82  
% 0.61/0.82  % (926)Memory used [KB]: 1132
% 0.61/0.82  % (926)Time elapsed: 0.003 s
% 0.61/0.82  % (926)Instructions burned: 3 (million)
% 0.61/0.82  % (926)------------------------------
% 0.61/0.82  % (926)------------------------------
% 0.61/0.82  % (922)First to succeed.
% 0.61/0.82  % (921)Also succeeded, but the first one will report.
% 0.61/0.82  % (922)Refutation found. Thanks to Tanya!
% 0.61/0.82  % SZS status Unsatisfiable for Vampire---4
% 0.61/0.82  % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.82  % (922)------------------------------
% 0.61/0.82  % (922)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.82  % (922)Termination reason: Refutation
% 0.61/0.82  
% 0.61/0.82  % (922)Memory used [KB]: 1146
% 0.61/0.82  % (922)Time elapsed: 0.004 s
% 0.61/0.82  % (922)Instructions burned: 3 (million)
% 0.61/0.82  % (922)------------------------------
% 0.61/0.82  % (922)------------------------------
% 0.61/0.82  % (914)Success in time 0.49 s
% 0.61/0.82  % Vampire---4.8 exiting
%------------------------------------------------------------------------------