TSTP Solution File: LCL008-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : LCL008-1 : TPTP v8.1.2. Released v1.0.0.
% 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 : n020.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 03:10:17 EDT 2024

% Result   : Unsatisfiable 0.55s 0.77s
% Output   : Refutation 0.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   12 (   7 unt;   0 def)
%            Number of atoms       :   19 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   16 (   9   ~;   7   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :   24 (  24   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f23,plain,
    $false,
    inference(resolution,[],[f18,f5]) ).

fof(f5,plain,
    ~ is_a_theorem(equivalent(b,b)),
    inference(resolution,[],[f4,f3]) ).

fof(f3,axiom,
    ~ is_a_theorem(equivalent(equivalent(a,b),equivalent(b,a))),
    file('/export/starexec/sandbox2/tmp/tmp.JZoExnrOun/Vampire---4.8_18603',prove_ec_4) ).

fof(f4,plain,
    ! [X2,X0,X1] :
      ( is_a_theorem(equivalent(equivalent(X2,X1),equivalent(X0,X2)))
      | ~ is_a_theorem(equivalent(X0,X1)) ),
    inference(resolution,[],[f2,f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( ~ is_a_theorem(equivalent(X0,X1))
      | ~ is_a_theorem(X0)
      | is_a_theorem(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.JZoExnrOun/Vampire---4.8_18603',condensed_detachment) ).

fof(f2,axiom,
    ! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X1),equivalent(X0,X2)))),
    file('/export/starexec/sandbox2/tmp/tmp.JZoExnrOun/Vampire---4.8_18603',yql) ).

fof(f18,plain,
    ! [X0] : is_a_theorem(equivalent(X0,X0)),
    inference(resolution,[],[f16,f9]) ).

fof(f9,plain,
    ! [X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X0,X1))),
    inference(resolution,[],[f7,f2]) ).

fof(f7,plain,
    ! [X2,X3,X0,X1] :
      ( ~ is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(X3,X1))))
      | is_a_theorem(equivalent(X0,equivalent(X3,X2))) ),
    inference(resolution,[],[f6,f2]) ).

fof(f6,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(equivalent(X2,X1))
      | ~ is_a_theorem(equivalent(X0,X1))
      | is_a_theorem(equivalent(X0,X2)) ),
    inference(resolution,[],[f4,f1]) ).

fof(f16,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,X0)))
      | is_a_theorem(equivalent(X2,X1)) ),
    inference(resolution,[],[f11,f1]) ).

fof(f11,plain,
    ! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X0)),equivalent(X2,X1))),
    inference(resolution,[],[f9,f7]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : LCL008-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.15  % 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
% 0.15/0.36  % Computer : n020.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Tue Apr 30 16:41:17 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.37  This is a CNF_UNS_RFO_NEQ_HRN problem
% 0.15/0.37  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.JZoExnrOun/Vampire---4.8_18603
% 0.55/0.76  % (18811)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)
% 0.55/0.77  % (18814)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)
% 0.55/0.77  % (18811)Refutation not found, incomplete strategy% (18811)------------------------------
% 0.55/0.77  % (18811)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.77  % (18814)Refutation not found, incomplete strategy% (18814)------------------------------
% 0.55/0.77  % (18814)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.77  % (18811)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.77  % (18814)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.77  
% 0.55/0.77  
% 0.55/0.77  % (18811)Memory used [KB]: 960
% 0.55/0.77  % (18814)Memory used [KB]: 958
% 0.55/0.77  % (18811)Time elapsed: 0.001 s
% 0.55/0.77  % (18814)Time elapsed: 0.001 s
% 0.55/0.77  % (18811)Instructions burned: 2 (million)
% 0.55/0.77  % (18814)Instructions burned: 2 (million)
% 0.55/0.77  % (18811)------------------------------
% 0.55/0.77  % (18811)------------------------------
% 0.55/0.77  % (18814)------------------------------
% 0.55/0.77  % (18814)------------------------------
% 0.55/0.77  % (18806)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)
% 0.55/0.77  % (18807)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)
% 0.55/0.77  % (18810)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)
% 0.55/0.77  % (18812)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)
% 0.55/0.77  % (18809)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.77  % (18813)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)
% 0.55/0.77  % (18812)Refutation not found, incomplete strategy% (18812)------------------------------
% 0.55/0.77  % (18812)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.77  % (18812)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.77  
% 0.55/0.77  % (18812)Memory used [KB]: 958
% 0.55/0.77  % (18812)Time elapsed: 0.002 s
% 0.55/0.77  % (18812)Instructions burned: 2 (million)
% 0.55/0.77  % (18812)------------------------------
% 0.55/0.77  % (18812)------------------------------
% 0.55/0.77  % (18807)First to succeed.
% 0.55/0.77  % (18813)Also succeeded, but the first one will report.
% 0.55/0.77  % (18817)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.55/0.77  % (18807)Refutation found. Thanks to Tanya!
% 0.55/0.77  % SZS status Unsatisfiable for Vampire---4
% 0.55/0.77  % SZS output start Proof for Vampire---4
% See solution above
% 0.55/0.77  % (18807)------------------------------
% 0.55/0.77  % (18807)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.77  % (18807)Termination reason: Refutation
% 0.55/0.77  
% 0.55/0.77  % (18807)Memory used [KB]: 973
% 0.55/0.77  % (18807)Time elapsed: 0.003 s
% 0.55/0.77  % (18807)Instructions burned: 3 (million)
% 0.55/0.77  % (18807)------------------------------
% 0.55/0.77  % (18807)------------------------------
% 0.55/0.77  % (18767)Success in time 0.388 s
% 0.55/0.77  % Vampire---4.8 exiting
%------------------------------------------------------------------------------