TSTP Solution File: SEU096+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEU096+1 : TPTP v8.1.2. Released v3.2.0.
% 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 : n022.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 03:50:03 EDT 2024

% Result   : Theorem 0.55s 0.75s
% Output   : Refutation 0.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   21 (   9 unt;   0 def)
%            Number of atoms       :   61 (   5 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   62 (  22   ~;  18   |;  14   &)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   24 (  20   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f301,plain,
    $false,
    inference(subsumption_resolution,[],[f300,f119]) ).

fof(f119,plain,
    ~ finite(sK0),
    inference(cnf_transformation,[],[f78]) ).

fof(f78,plain,
    ? [X0,X1] :
      ( ~ finite(X0)
      & finite(relation_inverse_image(X1,X0))
      & subset(X0,relation_rng(X1))
      & function(X1)
      & relation(X1) ),
    inference(flattening,[],[f77]) ).

fof(f77,plain,
    ? [X0,X1] :
      ( ~ finite(X0)
      & finite(relation_inverse_image(X1,X0))
      & subset(X0,relation_rng(X1))
      & function(X1)
      & relation(X1) ),
    inference(ennf_transformation,[],[f54]) ).

fof(f54,negated_conjecture,
    ~ ! [X0,X1] :
        ( ( function(X1)
          & relation(X1) )
       => ( ( finite(relation_inverse_image(X1,X0))
            & subset(X0,relation_rng(X1)) )
         => finite(X0) ) ),
    inference(negated_conjecture,[],[f53]) ).

fof(f53,conjecture,
    ! [X0,X1] :
      ( ( function(X1)
        & relation(X1) )
     => ( ( finite(relation_inverse_image(X1,X0))
          & subset(X0,relation_rng(X1)) )
       => finite(X0) ) ),
    file('/export/starexec/sandbox/tmp/tmp.aF5MYxZ4pe/Vampire---4.8_29371',t27_finset_1) ).

fof(f300,plain,
    finite(sK0),
    inference(forward_demodulation,[],[f289,f271]) ).

fof(f271,plain,
    sK0 = relation_image(sK1,relation_inverse_image(sK1,sK0)),
    inference(unit_resulting_resolution,[],[f116,f115,f117,f123]) ).

fof(f123,plain,
    ! [X0,X1] :
      ( ~ subset(X0,relation_rng(X1))
      | ~ function(X1)
      | ~ relation(X1)
      | relation_image(X1,relation_inverse_image(X1,X0)) = X0 ),
    inference(cnf_transformation,[],[f83]) ).

fof(f83,plain,
    ! [X0,X1] :
      ( relation_image(X1,relation_inverse_image(X1,X0)) = X0
      | ~ subset(X0,relation_rng(X1))
      | ~ function(X1)
      | ~ relation(X1) ),
    inference(flattening,[],[f82]) ).

fof(f82,plain,
    ! [X0,X1] :
      ( relation_image(X1,relation_inverse_image(X1,X0)) = X0
      | ~ subset(X0,relation_rng(X1))
      | ~ function(X1)
      | ~ relation(X1) ),
    inference(ennf_transformation,[],[f50]) ).

fof(f50,axiom,
    ! [X0,X1] :
      ( ( function(X1)
        & relation(X1) )
     => ( subset(X0,relation_rng(X1))
       => relation_image(X1,relation_inverse_image(X1,X0)) = X0 ) ),
    file('/export/starexec/sandbox/tmp/tmp.aF5MYxZ4pe/Vampire---4.8_29371',t147_funct_1) ).

fof(f117,plain,
    subset(sK0,relation_rng(sK1)),
    inference(cnf_transformation,[],[f78]) ).

fof(f115,plain,
    relation(sK1),
    inference(cnf_transformation,[],[f78]) ).

fof(f116,plain,
    function(sK1),
    inference(cnf_transformation,[],[f78]) ).

fof(f289,plain,
    finite(relation_image(sK1,relation_inverse_image(sK1,sK0))),
    inference(unit_resulting_resolution,[],[f115,f116,f118,f149]) ).

fof(f149,plain,
    ! [X0,X1] :
      ( finite(relation_image(X1,X0))
      | ~ function(X1)
      | ~ finite(X0)
      | ~ relation(X1) ),
    inference(cnf_transformation,[],[f92]) ).

fof(f92,plain,
    ! [X0,X1] :
      ( finite(relation_image(X1,X0))
      | ~ finite(X0)
      | ~ function(X1)
      | ~ relation(X1) ),
    inference(flattening,[],[f91]) ).

fof(f91,plain,
    ! [X0,X1] :
      ( finite(relation_image(X1,X0))
      | ~ finite(X0)
      | ~ function(X1)
      | ~ relation(X1) ),
    inference(ennf_transformation,[],[f51]) ).

fof(f51,axiom,
    ! [X0,X1] :
      ( ( function(X1)
        & relation(X1) )
     => ( finite(X0)
       => finite(relation_image(X1,X0)) ) ),
    file('/export/starexec/sandbox/tmp/tmp.aF5MYxZ4pe/Vampire---4.8_29371',t17_finset_1) ).

fof(f118,plain,
    finite(relation_inverse_image(sK1,sK0)),
    inference(cnf_transformation,[],[f78]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : SEU096+1 : TPTP v8.1.2. Released v3.2.0.
% 0.12/0.15  % 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
% 0.14/0.36  % Computer : n022.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Tue Apr 30 16:09:28 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.14/0.37  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.aF5MYxZ4pe/Vampire---4.8_29371
% 0.55/0.74  % (29769)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)
% 0.55/0.74  % (29761)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)
% 0.55/0.74  % (29764)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.74  % (29763)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)
% 0.55/0.74  % (29766)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)
% 0.55/0.74  % (29767)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)
% 0.55/0.74  % (29765)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)
% 0.55/0.74  % (29768)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)
% 0.55/0.74  % (29769)Refutation not found, incomplete strategy% (29769)------------------------------
% 0.55/0.74  % (29769)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.74  % (29769)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74  
% 0.55/0.74  % (29769)Memory used [KB]: 1056
% 0.55/0.74  % (29769)Time elapsed: 0.002 s
% 0.55/0.74  % (29769)Instructions burned: 3 (million)
% 0.55/0.74  % (29769)------------------------------
% 0.55/0.74  % (29769)------------------------------
% 0.55/0.74  % (29767)Refutation not found, incomplete strategy% (29767)------------------------------
% 0.55/0.74  % (29767)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.74  % (29767)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74  
% 0.55/0.74  % (29767)Memory used [KB]: 1043
% 0.55/0.74  % (29767)Time elapsed: 0.003 s
% 0.55/0.74  % (29767)Instructions burned: 3 (million)
% 0.55/0.74  % (29767)------------------------------
% 0.55/0.74  % (29767)------------------------------
% 0.55/0.74  % (29761)Refutation not found, incomplete strategy% (29761)------------------------------
% 0.55/0.74  % (29761)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.74  % (29761)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74  
% 0.55/0.74  % (29761)Memory used [KB]: 1067
% 0.55/0.74  % (29761)Time elapsed: 0.004 s
% 0.55/0.74  % (29761)Instructions burned: 4 (million)
% 0.55/0.74  % (29761)------------------------------
% 0.55/0.74  % (29761)------------------------------
% 0.55/0.74  % (29766)Refutation not found, incomplete strategy% (29766)------------------------------
% 0.55/0.74  % (29766)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.74  % (29766)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74  
% 0.55/0.74  % (29766)Memory used [KB]: 1147
% 0.55/0.74  % (29766)Time elapsed: 0.004 s
% 0.55/0.74  % (29766)Instructions burned: 5 (million)
% 0.55/0.74  % (29766)------------------------------
% 0.55/0.74  % (29766)------------------------------
% 0.55/0.75  % (29772)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)
% 0.55/0.75  % (29768)First to succeed.
% 0.55/0.75  % (29764)Also succeeded, but the first one will report.
% 0.55/0.75  % (29768)Refutation found. Thanks to Tanya!
% 0.55/0.75  % SZS status Theorem for Vampire---4
% 0.55/0.75  % SZS output start Proof for Vampire---4
% See solution above
% 0.55/0.75  % (29768)------------------------------
% 0.55/0.75  % (29768)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.75  % (29768)Termination reason: Refutation
% 0.55/0.75  
% 0.55/0.75  % (29768)Memory used [KB]: 1149
% 0.55/0.75  % (29768)Time elapsed: 0.006 s
% 0.55/0.75  % (29768)Instructions burned: 8 (million)
% 0.55/0.75  % (29768)------------------------------
% 0.55/0.75  % (29768)------------------------------
% 0.55/0.75  % (29616)Success in time 0.374 s
% 0.55/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------