TSTP Solution File: SEU252+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEU252+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n029.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 09:21:31 EDT 2024

% Result   : Theorem 0.62s 0.83s
% Output   : Refutation 0.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   34 (  12 unt;   0 def)
%            Number of atoms       :   84 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   80 (  30   ~;  25   |;  10   &)
%                                         (   5 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   2 con; 0-2 aty)
%            Number of variables   :   55 (  51   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f980,plain,
    $false,
    inference(subsumption_resolution,[],[f959,f125]) ).

fof(f125,plain,
    in(ordered_pair(sK2(relation_restriction(sK1,sK0)),sK2(relation_restriction(sK1,sK0))),cartesian_product2(sK0,sK0)),
    inference(unit_resulting_resolution,[],[f110,f110,f74]) ).

fof(f74,plain,
    ! [X2,X3,X0,X1] :
      ( in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
      | ~ in(X1,X3)
      | ~ in(X0,X2) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f35,axiom,
    ! [X0,X1,X2,X3] :
      ( in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
    <=> ( in(X1,X3)
        & in(X0,X2) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.iMTDl5sB7w/Vampire---4.8_10449',t106_zfmisc_1) ).

fof(f110,plain,
    in(sK2(relation_restriction(sK1,sK0)),sK0),
    inference(unit_resulting_resolution,[],[f63,f98,f77]) ).

fof(f77,plain,
    ! [X2,X0,X1] :
      ( ~ in(X0,relation_field(relation_restriction(X2,X1)))
      | ~ relation(X2)
      | in(X0,X1) ),
    inference(cnf_transformation,[],[f56]) ).

fof(f56,plain,
    ! [X0,X1,X2] :
      ( ( in(X0,X1)
        & in(X0,relation_field(X2)) )
      | ~ in(X0,relation_field(relation_restriction(X2,X1)))
      | ~ relation(X2) ),
    inference(flattening,[],[f55]) ).

fof(f55,plain,
    ! [X0,X1,X2] :
      ( ( in(X0,X1)
        & in(X0,relation_field(X2)) )
      | ~ in(X0,relation_field(relation_restriction(X2,X1)))
      | ~ relation(X2) ),
    inference(ennf_transformation,[],[f37]) ).

fof(f37,axiom,
    ! [X0,X1,X2] :
      ( relation(X2)
     => ( in(X0,relation_field(relation_restriction(X2,X1)))
       => ( in(X0,X1)
          & in(X0,relation_field(X2)) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.iMTDl5sB7w/Vampire---4.8_10449',t19_wellord1) ).

fof(f98,plain,
    in(sK2(relation_restriction(sK1,sK0)),relation_field(relation_restriction(sK1,sK0))),
    inference(unit_resulting_resolution,[],[f65,f95,f67]) ).

fof(f67,plain,
    ! [X0] :
      ( in(sK2(X0),relation_field(X0))
      | ~ relation(X0)
      | reflexive(X0) ),
    inference(cnf_transformation,[],[f51]) ).

fof(f51,plain,
    ! [X0] :
      ( ( reflexive(X0)
      <=> ! [X1] :
            ( in(ordered_pair(X1,X1),X0)
            | ~ in(X1,relation_field(X0)) ) )
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f29]) ).

fof(f29,axiom,
    ! [X0] :
      ( relation(X0)
     => ( reflexive(X0)
      <=> ! [X1] :
            ( in(X1,relation_field(X0))
           => in(ordered_pair(X1,X1),X0) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.iMTDl5sB7w/Vampire---4.8_10449',l1_wellord1) ).

fof(f95,plain,
    ! [X0] : relation(relation_restriction(sK1,X0)),
    inference(unit_resulting_resolution,[],[f63,f69]) ).

fof(f69,plain,
    ! [X0,X1] :
      ( relation(relation_restriction(X0,X1))
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f52]) ).

fof(f52,plain,
    ! [X0,X1] :
      ( relation(relation_restriction(X0,X1))
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f15,axiom,
    ! [X0,X1] :
      ( relation(X0)
     => relation(relation_restriction(X0,X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.iMTDl5sB7w/Vampire---4.8_10449',dt_k2_wellord1) ).

fof(f65,plain,
    ~ reflexive(relation_restriction(sK1,sK0)),
    inference(cnf_transformation,[],[f50]) ).

fof(f50,plain,
    ? [X0,X1] :
      ( ~ reflexive(relation_restriction(X1,X0))
      & reflexive(X1)
      & relation(X1) ),
    inference(flattening,[],[f49]) ).

fof(f49,plain,
    ? [X0,X1] :
      ( ~ reflexive(relation_restriction(X1,X0))
      & reflexive(X1)
      & relation(X1) ),
    inference(ennf_transformation,[],[f41]) ).

fof(f41,negated_conjecture,
    ~ ! [X0,X1] :
        ( relation(X1)
       => ( reflexive(X1)
         => reflexive(relation_restriction(X1,X0)) ) ),
    inference(negated_conjecture,[],[f40]) ).

fof(f40,conjecture,
    ! [X0,X1] :
      ( relation(X1)
     => ( reflexive(X1)
       => reflexive(relation_restriction(X1,X0)) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.iMTDl5sB7w/Vampire---4.8_10449',t22_wellord1) ).

fof(f63,plain,
    relation(sK1),
    inference(cnf_transformation,[],[f50]) ).

fof(f959,plain,
    ~ in(ordered_pair(sK2(relation_restriction(sK1,sK0)),sK2(relation_restriction(sK1,sK0))),cartesian_product2(sK0,sK0)),
    inference(unit_resulting_resolution,[],[f63,f99,f191,f83]) ).

fof(f83,plain,
    ! [X2,X0,X1] :
      ( ~ in(X0,cartesian_product2(X1,X1))
      | ~ in(X0,X2)
      | ~ relation(X2)
      | in(X0,relation_restriction(X2,X1)) ),
    inference(cnf_transformation,[],[f58]) ).

fof(f58,plain,
    ! [X0,X1,X2] :
      ( ( in(X0,relation_restriction(X2,X1))
      <=> ( in(X0,cartesian_product2(X1,X1))
          & in(X0,X2) ) )
      | ~ relation(X2) ),
    inference(ennf_transformation,[],[f36]) ).

fof(f36,axiom,
    ! [X0,X1,X2] :
      ( relation(X2)
     => ( in(X0,relation_restriction(X2,X1))
      <=> ( in(X0,cartesian_product2(X1,X1))
          & in(X0,X2) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.iMTDl5sB7w/Vampire---4.8_10449',t16_wellord1) ).

fof(f191,plain,
    in(ordered_pair(sK2(relation_restriction(sK1,sK0)),sK2(relation_restriction(sK1,sK0))),sK1),
    inference(unit_resulting_resolution,[],[f64,f63,f109,f66]) ).

fof(f66,plain,
    ! [X0,X1] :
      ( in(ordered_pair(X1,X1),X0)
      | ~ in(X1,relation_field(X0))
      | ~ relation(X0)
      | ~ reflexive(X0) ),
    inference(cnf_transformation,[],[f51]) ).

fof(f109,plain,
    in(sK2(relation_restriction(sK1,sK0)),relation_field(sK1)),
    inference(unit_resulting_resolution,[],[f63,f98,f76]) ).

fof(f76,plain,
    ! [X2,X0,X1] :
      ( ~ in(X0,relation_field(relation_restriction(X2,X1)))
      | ~ relation(X2)
      | in(X0,relation_field(X2)) ),
    inference(cnf_transformation,[],[f56]) ).

fof(f64,plain,
    reflexive(sK1),
    inference(cnf_transformation,[],[f50]) ).

fof(f99,plain,
    ~ in(ordered_pair(sK2(relation_restriction(sK1,sK0)),sK2(relation_restriction(sK1,sK0))),relation_restriction(sK1,sK0)),
    inference(unit_resulting_resolution,[],[f65,f95,f68]) ).

fof(f68,plain,
    ! [X0] :
      ( ~ in(ordered_pair(sK2(X0),sK2(X0)),X0)
      | ~ relation(X0)
      | reflexive(X0) ),
    inference(cnf_transformation,[],[f51]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SEU252+1 : TPTP v8.1.2. Released v3.3.0.
% 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 : n029.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   : Fri May  3 11:16:37 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.15/0.36  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.iMTDl5sB7w/Vampire---4.8_10449
% 0.62/0.81  % (10564)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)
% 0.62/0.81  % (10557)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)
% 0.62/0.81  % (10559)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.62/0.81  % (10564)Refutation not found, incomplete strategy% (10564)------------------------------
% 0.62/0.81  % (10564)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.81  % (10564)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.81  
% 0.62/0.81  % (10564)Memory used [KB]: 1053
% 0.62/0.81  % (10564)Time elapsed: 0.002 s
% 0.62/0.81  % (10564)Instructions burned: 3 (million)
% 0.62/0.81  % (10560)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)
% 0.62/0.81  % (10561)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)
% 0.62/0.81  % (10558)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)
% 0.62/0.81  % (10562)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)
% 0.62/0.81  % (10563)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)
% 0.62/0.81  % (10564)------------------------------
% 0.62/0.81  % (10564)------------------------------
% 0.62/0.81  % (10562)Refutation not found, incomplete strategy% (10562)------------------------------
% 0.62/0.81  % (10562)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.81  % (10562)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.81  
% 0.62/0.81  % (10562)Memory used [KB]: 960
% 0.62/0.81  % (10562)Time elapsed: 0.003 s
% 0.62/0.81  % (10562)Instructions burned: 2 (million)
% 0.62/0.81  % (10562)------------------------------
% 0.62/0.81  % (10562)------------------------------
% 0.62/0.81  % (10561)Refutation not found, incomplete strategy% (10561)------------------------------
% 0.62/0.81  % (10561)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.81  % (10561)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.81  
% 0.62/0.81  % (10561)Memory used [KB]: 1040
% 0.62/0.81  % (10561)Time elapsed: 0.003 s
% 0.62/0.81  % (10561)Instructions burned: 3 (million)
% 0.62/0.81  % (10561)------------------------------
% 0.62/0.81  % (10561)------------------------------
% 0.62/0.81  % (10565)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 (2995ds/55Mi)
% 0.62/0.81  % (10557)Refutation not found, incomplete strategy% (10557)------------------------------
% 0.62/0.81  % (10557)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.81  % (10557)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.81  
% 0.62/0.81  % (10557)Memory used [KB]: 1071
% 0.62/0.81  % (10557)Time elapsed: 0.007 s
% 0.62/0.81  % (10557)Instructions burned: 9 (million)
% 0.62/0.81  % (10557)------------------------------
% 0.62/0.81  % (10557)------------------------------
% 0.62/0.81  % (10566)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2995ds/50Mi)
% 0.62/0.81  % (10567)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/208Mi)
% 0.62/0.82  % (10568)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2995ds/52Mi)
% 0.62/0.82  % (10560)Instruction limit reached!
% 0.62/0.82  % (10560)------------------------------
% 0.62/0.82  % (10560)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.82  % (10560)Termination reason: Unknown
% 0.62/0.82  % (10560)Termination phase: Saturation
% 0.62/0.82  
% 0.62/0.82  % (10560)Memory used [KB]: 1190
% 0.62/0.82  % (10560)Time elapsed: 0.017 s
% 0.62/0.82  % (10560)Instructions burned: 33 (million)
% 0.62/0.82  % (10560)------------------------------
% 0.62/0.82  % (10560)------------------------------
% 0.62/0.83  % (10569)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2995ds/518Mi)
% 0.62/0.83  % (10565)Instruction limit reached!
% 0.62/0.83  % (10565)------------------------------
% 0.62/0.83  % (10565)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.83  % (10565)Termination reason: Unknown
% 0.62/0.83  % (10565)Termination phase: Saturation
% 0.62/0.83  
% 0.62/0.83  % (10565)Memory used [KB]: 1775
% 0.62/0.83  % (10565)Time elapsed: 0.020 s
% 0.62/0.83  % (10565)Instructions burned: 55 (million)
% 0.62/0.83  % (10565)------------------------------
% 0.62/0.83  % (10565)------------------------------
% 0.62/0.83  % (10569)Refutation not found, incomplete strategy% (10569)------------------------------
% 0.62/0.83  % (10569)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.83  % (10569)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.83  
% 0.62/0.83  % (10569)Memory used [KB]: 1041
% 0.62/0.83  % (10569)Time elapsed: 0.004 s
% 0.62/0.83  % (10569)Instructions burned: 4 (million)
% 0.62/0.83  % (10563)First to succeed.
% 0.62/0.83  % (10569)------------------------------
% 0.62/0.83  % (10569)------------------------------
% 0.62/0.83  % (10563)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-10556"
% 0.62/0.83  % (10563)Refutation found. Thanks to Tanya!
% 0.62/0.83  % SZS status Theorem for Vampire---4
% 0.62/0.83  % SZS output start Proof for Vampire---4
% See solution above
% 0.62/0.83  % (10563)------------------------------
% 0.62/0.83  % (10563)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.83  % (10563)Termination reason: Refutation
% 0.62/0.83  
% 0.62/0.83  % (10563)Memory used [KB]: 1369
% 0.62/0.83  % (10563)Time elapsed: 0.024 s
% 0.62/0.83  % (10563)Instructions burned: 38 (million)
% 0.62/0.83  % (10556)Success in time 0.461 s
% 0.62/0.83  % Vampire---4.8 exiting
%------------------------------------------------------------------------------