TSTP Solution File: REL049+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : REL049+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n032.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 03:40:52 EDT 2024

% Result   : Theorem 0.60s 0.79s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   18 (  12 unt;   0 def)
%            Number of atoms       :   33 (  32 equ)
%            Maximal formula atoms :    6 (   1 avg)
%            Number of connectives :   25 (  10   ~;   0   |;  12   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   25 (  16   !;   9   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f42,plain,
    $false,
    inference(subsumption_resolution,[],[f41,f20]) ).

fof(f20,plain,
    sK1 = join(sK0,sK1),
    inference(cnf_transformation,[],[f19]) ).

fof(f19,plain,
    ( sK1 != join(join(sK0,sK2),sK1)
    & sK1 = join(sK2,sK1)
    & sK1 = join(sK0,sK1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f17,f18]) ).

fof(f18,plain,
    ( ? [X0,X1,X2] :
        ( join(join(X0,X2),X1) != X1
        & join(X2,X1) = X1
        & join(X0,X1) = X1 )
   => ( sK1 != join(join(sK0,sK2),sK1)
      & sK1 = join(sK2,sK1)
      & sK1 = join(sK0,sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f17,plain,
    ? [X0,X1,X2] :
      ( join(join(X0,X2),X1) != X1
      & join(X2,X1) = X1
      & join(X0,X1) = X1 ),
    inference(flattening,[],[f16]) ).

fof(f16,plain,
    ? [X0,X1,X2] :
      ( join(join(X0,X2),X1) != X1
      & join(X2,X1) = X1
      & join(X0,X1) = X1 ),
    inference(ennf_transformation,[],[f15]) ).

fof(f15,negated_conjecture,
    ~ ! [X0,X1,X2] :
        ( ( join(X2,X1) = X1
          & join(X0,X1) = X1 )
       => join(join(X0,X2),X1) = X1 ),
    inference(negated_conjecture,[],[f14]) ).

fof(f14,conjecture,
    ! [X0,X1,X2] :
      ( ( join(X2,X1) = X1
        & join(X0,X1) = X1 )
     => join(join(X0,X2),X1) = X1 ),
    file('/export/starexec/sandbox/tmp/tmp.jD2l3pl7wx/Vampire---4.8_10584',goals) ).

fof(f41,plain,
    sK1 != join(sK0,sK1),
    inference(forward_demodulation,[],[f40,f30]) ).

fof(f30,plain,
    sK1 = join(sK1,sK2),
    inference(superposition,[],[f21,f24]) ).

fof(f24,plain,
    ! [X0,X1] : join(X0,X1) = join(X1,X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0,X1] : join(X0,X1) = join(X1,X0),
    file('/export/starexec/sandbox/tmp/tmp.jD2l3pl7wx/Vampire---4.8_10584',maddux1_join_commutativity) ).

fof(f21,plain,
    sK1 = join(sK2,sK1),
    inference(cnf_transformation,[],[f19]) ).

fof(f40,plain,
    sK1 != join(sK0,join(sK1,sK2)),
    inference(forward_demodulation,[],[f37,f24]) ).

fof(f37,plain,
    sK1 != join(sK0,join(sK2,sK1)),
    inference(superposition,[],[f22,f23]) ).

fof(f23,plain,
    ! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
    inference(cnf_transformation,[],[f2]) ).

fof(f2,axiom,
    ! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
    file('/export/starexec/sandbox/tmp/tmp.jD2l3pl7wx/Vampire---4.8_10584',maddux2_join_associativity) ).

fof(f22,plain,
    sK1 != join(join(sK0,sK2),sK1),
    inference(cnf_transformation,[],[f19]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09  % Problem    : REL049+1 : TPTP v8.1.2. Released v4.0.0.
% 0.02/0.11  % 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
% 0.11/0.31  % Computer : n032.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit   : 300
% 0.11/0.31  % WCLimit    : 300
% 0.11/0.31  % DateTime   : Tue Apr 30 17:09:51 EDT 2024
% 0.11/0.31  % CPUTime    : 
% 0.11/0.31  This is a FOF_THM_RFO_PEQ problem
% 0.11/0.31  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.jD2l3pl7wx/Vampire---4.8_10584
% 0.60/0.79  % (10740)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)
% 0.60/0.79  % (10744)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)
% 0.60/0.79  % (10745)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)
% 0.60/0.79  % (10742)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.79  % (10743)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)
% 0.60/0.79  % (10741)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)
% 0.60/0.79  % (10746)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)
% 0.60/0.79  % (10747)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)
% 0.60/0.79  % (10747)Refutation not found, incomplete strategy% (10747)------------------------------
% 0.60/0.79  % (10747)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.79  % (10747)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.79  
% 0.60/0.79  % (10747)Memory used [KB]: 960
% 0.60/0.79  % (10747)Time elapsed: 0.002 s
% 0.60/0.79  % (10747)Instructions burned: 2 (million)
% 0.60/0.79  % (10744)Refutation not found, incomplete strategy% (10744)------------------------------
% 0.60/0.79  % (10744)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.79  % (10744)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.79  
% 0.60/0.79  % (10744)Memory used [KB]: 978
% 0.60/0.79  % (10744)Time elapsed: 0.003 s
% 0.60/0.79  % (10744)Instructions burned: 2 (million)
% 0.60/0.79  % (10744)------------------------------
% 0.60/0.79  % (10744)------------------------------
% 0.60/0.79  % (10747)------------------------------
% 0.60/0.79  % (10747)------------------------------
% 0.60/0.79  % (10740)Refutation not found, incomplete strategy% (10740)------------------------------
% 0.60/0.79  % (10740)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.79  % (10740)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.79  % (10743)Refutation not found, incomplete strategy% (10743)------------------------------
% 0.60/0.79  % (10743)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.79  % (10743)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.79  
% 0.60/0.79  % (10743)Memory used [KB]: 964
% 0.60/0.79  % (10743)Time elapsed: 0.003 s
% 0.60/0.79  % (10743)Instructions burned: 2 (million)
% 0.60/0.79  % (10743)------------------------------
% 0.60/0.79  % (10743)------------------------------
% 0.60/0.79  
% 0.60/0.79  % (10740)Memory used [KB]: 977
% 0.60/0.79  % (10740)Time elapsed: 0.003 s
% 0.60/0.79  % (10740)Instructions burned: 2 (million)
% 0.60/0.79  % (10740)------------------------------
% 0.60/0.79  % (10740)------------------------------
% 0.60/0.79  % (10745)First to succeed.
% 0.60/0.79  % (10742)Also succeeded, but the first one will report.
% 0.60/0.79  % (10746)Also succeeded, but the first one will report.
% 0.60/0.79  % (10745)Refutation found. Thanks to Tanya!
% 0.60/0.79  % SZS status Theorem for Vampire---4
% 0.60/0.79  % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.79  % (10745)------------------------------
% 0.60/0.79  % (10745)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.79  % (10745)Termination reason: Refutation
% 0.60/0.79  
% 0.60/0.79  % (10745)Memory used [KB]: 973
% 0.60/0.79  % (10745)Time elapsed: 0.004 s
% 0.60/0.79  % (10745)Instructions burned: 3 (million)
% 0.60/0.79  % (10745)------------------------------
% 0.60/0.79  % (10745)------------------------------
% 0.60/0.79  % (10709)Success in time 0.477 s
% 0.60/0.79  % Vampire---4.8 exiting
%------------------------------------------------------------------------------