TSTP Solution File: SET017-7 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET017-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -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 : Sun May  5 09:02:53 EDT 2024

% Result   : Unsatisfiable 0.56s 0.78s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   22 (  13 unt;   0 def)
%            Number of atoms       :   33 (  15 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   21 (  10   ~;  11   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :   17 (  17   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f159,plain,
    $false,
    inference(subsumption_resolution,[],[f158,f121]) ).

fof(f121,plain,
    member(y,universal_class),
    inference(resolution,[],[f115,f14]) ).

fof(f14,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ member(ordered_pair(X2,X3),cross_product(X0,X1))
      | member(X2,X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.N6wBX8i2uZ/Vampire---4.8_945',cartesian_product1) ).

fof(f115,axiom,
    member(ordered_pair(y,z),cross_product(universal_class,universal_class)),
    file('/export/starexec/sandbox2/tmp/tmp.N6wBX8i2uZ/Vampire---4.8_945',prove_left_cancellation_2) ).

fof(f158,plain,
    ~ member(y,universal_class),
    inference(subsumption_resolution,[],[f153,f116]) ).

fof(f116,axiom,
    y != z,
    file('/export/starexec/sandbox2/tmp/tmp.N6wBX8i2uZ/Vampire---4.8_945',prove_left_cancellation_3) ).

fof(f153,plain,
    ( y = z
    | ~ member(y,universal_class) ),
    inference(resolution,[],[f150,f9]) ).

fof(f9,axiom,
    ! [X0,X1] :
      ( member(X0,unordered_pair(X0,X1))
      | ~ member(X0,universal_class) ),
    file('/export/starexec/sandbox2/tmp/tmp.N6wBX8i2uZ/Vampire---4.8_945',unordered_pair2) ).

fof(f150,plain,
    ! [X0] :
      ( ~ member(X0,unordered_pair(y,z))
      | z = X0 ),
    inference(duplicate_literal_removal,[],[f144]) ).

fof(f144,plain,
    ! [X0] :
      ( ~ member(X0,unordered_pair(y,z))
      | z = X0
      | z = X0 ),
    inference(superposition,[],[f8,f142]) ).

fof(f142,plain,
    unordered_pair(y,z) = unordered_pair(z,z),
    inference(superposition,[],[f120,f140]) ).

fof(f140,plain,
    x = z,
    inference(subsumption_resolution,[],[f138,f116]) ).

fof(f138,plain,
    ( y = z
    | x = z ),
    inference(resolution,[],[f137,f8]) ).

fof(f137,plain,
    member(z,unordered_pair(y,x)),
    inference(subsumption_resolution,[],[f133,f122]) ).

fof(f122,plain,
    member(z,universal_class),
    inference(resolution,[],[f115,f15]) ).

fof(f15,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ member(ordered_pair(X2,X3),cross_product(X0,X1))
      | member(X3,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.N6wBX8i2uZ/Vampire---4.8_945',cartesian_product2) ).

fof(f133,plain,
    ( member(z,unordered_pair(y,x))
    | ~ member(z,universal_class) ),
    inference(superposition,[],[f9,f120]) ).

fof(f120,plain,
    unordered_pair(z,x) = unordered_pair(y,x),
    inference(forward_demodulation,[],[f119,f108]) ).

fof(f108,axiom,
    ! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
    file('/export/starexec/sandbox2/tmp/tmp.N6wBX8i2uZ/Vampire---4.8_945',commutativity_of_unordered_pair) ).

fof(f119,plain,
    unordered_pair(x,y) = unordered_pair(z,x),
    inference(forward_demodulation,[],[f114,f108]) ).

fof(f114,axiom,
    unordered_pair(x,y) = unordered_pair(x,z),
    file('/export/starexec/sandbox2/tmp/tmp.N6wBX8i2uZ/Vampire---4.8_945',prove_left_cancellation_1) ).

fof(f8,axiom,
    ! [X2,X0,X1] :
      ( ~ member(X2,unordered_pair(X0,X1))
      | X0 = X2
      | X1 = X2 ),
    file('/export/starexec/sandbox2/tmp/tmp.N6wBX8i2uZ/Vampire---4.8_945',unordered_pair_member) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14  % Problem    : SET017-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.07/0.16  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.37  % Computer : n027.cluster.edu
% 0.14/0.37  % Model    : x86_64 x86_64
% 0.14/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37  % Memory   : 8042.1875MB
% 0.14/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37  % CPULimit   : 300
% 0.14/0.37  % WCLimit    : 300
% 0.14/0.37  % DateTime   : Fri May  3 17:05:53 EDT 2024
% 0.14/0.37  % CPUTime    : 
% 0.14/0.37  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.14/0.37  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.N6wBX8i2uZ/Vampire---4.8_945
% 0.56/0.78  % (1083)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 (2996ds/34Mi)
% 0.56/0.78  % (1086)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.56/0.78  % (1084)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 (2996ds/51Mi)
% 0.56/0.78  % (1090)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 (2996ds/56Mi)
% 0.56/0.78  % (1087)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 (2996ds/34Mi)
% 0.56/0.78  % (1088)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.56/0.78  % (1089)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 (2996ds/83Mi)
% 0.56/0.78  % (1090)Refutation not found, incomplete strategy% (1090)------------------------------
% 0.56/0.78  % (1090)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.78  % (1090)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.78  
% 0.56/0.78  % (1090)Memory used [KB]: 1077
% 0.56/0.78  % (1090)Time elapsed: 0.002 s
% 0.56/0.78  % (1090)Instructions burned: 3 (million)
% 0.56/0.78  % (1090)------------------------------
% 0.56/0.78  % (1090)------------------------------
% 0.56/0.78  % (1083)Refutation not found, incomplete strategy% (1083)------------------------------
% 0.56/0.78  % (1083)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.78  % (1083)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.78  
% 0.56/0.78  % (1083)Memory used [KB]: 1096
% 0.56/0.78  % (1083)Time elapsed: 0.003 s
% 0.56/0.78  % (1088)First to succeed.
% 0.56/0.78  % (1083)Instructions burned: 7 (million)
% 0.56/0.78  % (1085)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.78  % (1083)------------------------------
% 0.56/0.78  % (1083)------------------------------
% 0.56/0.78  % (1088)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1082"
% 0.56/0.78  % (1088)Refutation found. Thanks to Tanya!
% 0.56/0.78  % SZS status Unsatisfiable for Vampire---4
% 0.56/0.78  % SZS output start Proof for Vampire---4
% See solution above
% 0.56/0.78  % (1088)------------------------------
% 0.56/0.78  % (1088)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.78  % (1088)Termination reason: Refutation
% 0.56/0.78  
% 0.56/0.78  % (1088)Memory used [KB]: 1088
% 0.56/0.78  % (1088)Time elapsed: 0.004 s
% 0.56/0.78  % (1088)Instructions burned: 4 (million)
% 0.56/0.78  % (1082)Success in time 0.402 s
% 0.56/0.78  % Vampire---4.8 exiting
%------------------------------------------------------------------------------