TSTP Solution File: LAT291+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : LAT291+1 : TPTP v8.1.2. Released v3.4.0.
% 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 : n006.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 07:23:04 EDT 2024

% Result   : Theorem 0.58s 0.76s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   40 (  17 unt;   0 def)
%            Number of atoms       :  133 (  25 equ)
%            Maximal formula atoms :    7 (   3 avg)
%            Number of connectives :  148 (  55   ~;  53   |;  32   &)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :   10 (   8 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   2 con; 0-4 aty)
%            Number of variables   :   29 (  27   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f561,plain,
    $false,
    inference(subsumption_resolution,[],[f560,f165]) ).

fof(f165,plain,
    k7_lopclset(sK0) != k8_funct_2(u1_struct_0(sK0),k1_zfmisc_1(k7_lopclset(sK0)),k9_lopclset(sK0),k6_lattices(sK0)),
    inference(cnf_transformation,[],[f107]) ).

fof(f107,plain,
    ? [X0] :
      ( k7_lopclset(X0) != k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),k6_lattices(X0))
      & l3_lattices(X0)
      & ~ v3_realset2(X0)
      & v17_lattices(X0)
      & v10_lattices(X0)
      & ~ v3_struct_0(X0) ),
    inference(flattening,[],[f106]) ).

fof(f106,plain,
    ? [X0] :
      ( k7_lopclset(X0) != k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),k6_lattices(X0))
      & l3_lattices(X0)
      & ~ v3_realset2(X0)
      & v17_lattices(X0)
      & v10_lattices(X0)
      & ~ v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ! [X0] :
        ( ( l3_lattices(X0)
          & ~ v3_realset2(X0)
          & v17_lattices(X0)
          & v10_lattices(X0)
          & ~ v3_struct_0(X0) )
       => k7_lopclset(X0) = k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),k6_lattices(X0)) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ! [X0] :
      ( ( l3_lattices(X0)
        & ~ v3_realset2(X0)
        & v17_lattices(X0)
        & v10_lattices(X0)
        & ~ v3_struct_0(X0) )
     => k7_lopclset(X0) = k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),k6_lattices(X0)) ),
    file('/export/starexec/sandbox2/tmp/tmp.pIPBbuLXET/Vampire---4.8_31907',t37_lopclset) ).

fof(f560,plain,
    k7_lopclset(sK0) = k8_funct_2(u1_struct_0(sK0),k1_zfmisc_1(k7_lopclset(sK0)),k9_lopclset(sK0),k6_lattices(sK0)),
    inference(forward_demodulation,[],[f559,f235]) ).

fof(f235,plain,
    ! [X0] : k4_xboole_0(X0,k1_xboole_0) = X0,
    inference(cnf_transformation,[],[f95]) ).

fof(f95,axiom,
    ! [X0] : k4_xboole_0(X0,k1_xboole_0) = X0,
    file('/export/starexec/sandbox2/tmp/tmp.pIPBbuLXET/Vampire---4.8_31907',t3_boole) ).

fof(f559,plain,
    k8_funct_2(u1_struct_0(sK0),k1_zfmisc_1(k7_lopclset(sK0)),k9_lopclset(sK0),k6_lattices(sK0)) = k4_xboole_0(k7_lopclset(sK0),k1_xboole_0),
    inference(forward_demodulation,[],[f558,f275]) ).

fof(f275,plain,
    k1_xboole_0 = k8_funct_2(u1_struct_0(sK0),k1_zfmisc_1(k7_lopclset(sK0)),k9_lopclset(sK0),k5_lattices(sK0)),
    inference(unit_resulting_resolution,[],[f161,f160,f163,f162,f164,f193]) ).

fof(f193,plain,
    ! [X0] :
      ( ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | ~ v17_lattices(X0)
      | v3_realset2(X0)
      | v3_struct_0(X0)
      | k1_xboole_0 = k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),k5_lattices(X0)) ),
    inference(cnf_transformation,[],[f129]) ).

fof(f129,plain,
    ! [X0] :
      ( k1_xboole_0 = k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),k5_lattices(X0))
      | ~ l3_lattices(X0)
      | v3_realset2(X0)
      | ~ v17_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f128]) ).

fof(f128,plain,
    ! [X0] :
      ( k1_xboole_0 = k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),k5_lattices(X0))
      | ~ l3_lattices(X0)
      | v3_realset2(X0)
      | ~ v17_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f93]) ).

fof(f93,axiom,
    ! [X0] :
      ( ( l3_lattices(X0)
        & ~ v3_realset2(X0)
        & v17_lattices(X0)
        & v10_lattices(X0)
        & ~ v3_struct_0(X0) )
     => k1_xboole_0 = k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),k5_lattices(X0)) ),
    file('/export/starexec/sandbox2/tmp/tmp.pIPBbuLXET/Vampire---4.8_31907',t36_lopclset) ).

fof(f164,plain,
    l3_lattices(sK0),
    inference(cnf_transformation,[],[f107]) ).

fof(f162,plain,
    v17_lattices(sK0),
    inference(cnf_transformation,[],[f107]) ).

fof(f163,plain,
    ~ v3_realset2(sK0),
    inference(cnf_transformation,[],[f107]) ).

fof(f160,plain,
    ~ v3_struct_0(sK0),
    inference(cnf_transformation,[],[f107]) ).

fof(f161,plain,
    v10_lattices(sK0),
    inference(cnf_transformation,[],[f107]) ).

fof(f558,plain,
    k8_funct_2(u1_struct_0(sK0),k1_zfmisc_1(k7_lopclset(sK0)),k9_lopclset(sK0),k6_lattices(sK0)) = k4_xboole_0(k7_lopclset(sK0),k8_funct_2(u1_struct_0(sK0),k1_zfmisc_1(k7_lopclset(sK0)),k9_lopclset(sK0),k5_lattices(sK0))),
    inference(forward_demodulation,[],[f555,f274]) ).

fof(f274,plain,
    k6_lattices(sK0) = k7_lattices(sK0,k5_lattices(sK0)),
    inference(unit_resulting_resolution,[],[f161,f160,f162,f164,f175]) ).

fof(f175,plain,
    ! [X0] :
      ( ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | ~ v17_lattices(X0)
      | v3_struct_0(X0)
      | k6_lattices(X0) = k7_lattices(X0,k5_lattices(X0)) ),
    inference(cnf_transformation,[],[f118]) ).

fof(f118,plain,
    ! [X0] :
      ( k6_lattices(X0) = k7_lattices(X0,k5_lattices(X0))
      | ~ l3_lattices(X0)
      | ~ v17_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f117]) ).

fof(f117,plain,
    ! [X0] :
      ( k6_lattices(X0) = k7_lattices(X0,k5_lattices(X0))
      | ~ l3_lattices(X0)
      | ~ v17_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f94]) ).

fof(f94,axiom,
    ! [X0] :
      ( ( l3_lattices(X0)
        & v17_lattices(X0)
        & v10_lattices(X0)
        & ~ v3_struct_0(X0) )
     => k6_lattices(X0) = k7_lattices(X0,k5_lattices(X0)) ),
    file('/export/starexec/sandbox2/tmp/tmp.pIPBbuLXET/Vampire---4.8_31907',t37_lattice4) ).

fof(f555,plain,
    k4_xboole_0(k7_lopclset(sK0),k8_funct_2(u1_struct_0(sK0),k1_zfmisc_1(k7_lopclset(sK0)),k9_lopclset(sK0),k5_lattices(sK0))) = k8_funct_2(u1_struct_0(sK0),k1_zfmisc_1(k7_lopclset(sK0)),k9_lopclset(sK0),k7_lattices(sK0,k5_lattices(sK0))),
    inference(unit_resulting_resolution,[],[f161,f160,f164,f163,f162,f283,f195]) ).

fof(f195,plain,
    ! [X0,X1] :
      ( ~ m1_subset_1(X1,u1_struct_0(X0))
      | ~ v10_lattices(X0)
      | ~ v17_lattices(X0)
      | v3_realset2(X0)
      | ~ l3_lattices(X0)
      | v3_struct_0(X0)
      | k4_xboole_0(k7_lopclset(X0),k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),X1)) = k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),k7_lattices(X0,X1)) ),
    inference(cnf_transformation,[],[f133]) ).

fof(f133,plain,
    ! [X0] :
      ( ! [X1] :
          ( k4_xboole_0(k7_lopclset(X0),k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),X1)) = k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),k7_lattices(X0,X1))
          | ~ m1_subset_1(X1,u1_struct_0(X0)) )
      | ~ l3_lattices(X0)
      | v3_realset2(X0)
      | ~ v17_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f132]) ).

fof(f132,plain,
    ! [X0] :
      ( ! [X1] :
          ( k4_xboole_0(k7_lopclset(X0),k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),X1)) = k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),k7_lattices(X0,X1))
          | ~ m1_subset_1(X1,u1_struct_0(X0)) )
      | ~ l3_lattices(X0)
      | v3_realset2(X0)
      | ~ v17_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f90]) ).

fof(f90,axiom,
    ! [X0] :
      ( ( l3_lattices(X0)
        & ~ v3_realset2(X0)
        & v17_lattices(X0)
        & v10_lattices(X0)
        & ~ v3_struct_0(X0) )
     => ! [X1] :
          ( m1_subset_1(X1,u1_struct_0(X0))
         => k4_xboole_0(k7_lopclset(X0),k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),X1)) = k8_funct_2(u1_struct_0(X0),k1_zfmisc_1(k7_lopclset(X0)),k9_lopclset(X0),k7_lattices(X0,X1)) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.pIPBbuLXET/Vampire---4.8_31907',t28_lopclset) ).

fof(f283,plain,
    m1_subset_1(k5_lattices(sK0),u1_struct_0(sK0)),
    inference(unit_resulting_resolution,[],[f160,f278,f194]) ).

fof(f194,plain,
    ! [X0] :
      ( m1_subset_1(k5_lattices(X0),u1_struct_0(X0))
      | ~ l1_lattices(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f131]) ).

fof(f131,plain,
    ! [X0] :
      ( m1_subset_1(k5_lattices(X0),u1_struct_0(X0))
      | ~ l1_lattices(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f130]) ).

fof(f130,plain,
    ! [X0] :
      ( m1_subset_1(k5_lattices(X0),u1_struct_0(X0))
      | ~ l1_lattices(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f40]) ).

fof(f40,axiom,
    ! [X0] :
      ( ( l1_lattices(X0)
        & ~ v3_struct_0(X0) )
     => m1_subset_1(k5_lattices(X0),u1_struct_0(X0)) ),
    file('/export/starexec/sandbox2/tmp/tmp.pIPBbuLXET/Vampire---4.8_31907',dt_k5_lattices) ).

fof(f278,plain,
    l1_lattices(sK0),
    inference(unit_resulting_resolution,[],[f164,f198]) ).

fof(f198,plain,
    ! [X0] :
      ( l1_lattices(X0)
      | ~ l3_lattices(X0) ),
    inference(cnf_transformation,[],[f136]) ).

fof(f136,plain,
    ! [X0] :
      ( ( l2_lattices(X0)
        & l1_lattices(X0) )
      | ~ l3_lattices(X0) ),
    inference(ennf_transformation,[],[f50]) ).

fof(f50,axiom,
    ! [X0] :
      ( l3_lattices(X0)
     => ( l2_lattices(X0)
        & l1_lattices(X0) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.pIPBbuLXET/Vampire---4.8_31907',dt_l3_lattices) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : LAT291+1 : TPTP v8.1.2. Released v3.4.0.
% 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 : n006.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 12:26:19 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.pIPBbuLXET/Vampire---4.8_31907
% 0.58/0.75  % (32351)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)
% 0.58/0.75  % (32351)Refutation not found, incomplete strategy% (32351)------------------------------
% 0.58/0.75  % (32351)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75  % (32346)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.58/0.75  % (32351)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.75  
% 0.58/0.75  % (32347)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)
% 0.58/0.75  % (32351)Memory used [KB]: 1116
% 0.58/0.75  % (32351)Time elapsed: 0.002 s
% 0.58/0.75  % (32351)Instructions burned: 3 (million)
% 0.58/0.75  % (32345)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)
% 0.58/0.75  % (32344)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)
% 0.58/0.75  % (32348)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)
% 0.58/0.75  % (32349)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)
% 0.58/0.75  % (32350)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)
% 0.58/0.75  % (32351)------------------------------
% 0.58/0.75  % (32351)------------------------------
% 0.58/0.75  % (32347)Refutation not found, incomplete strategy% (32347)------------------------------
% 0.58/0.75  % (32347)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75  % (32347)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.75  
% 0.58/0.75  % (32347)Memory used [KB]: 1113
% 0.58/0.75  % (32347)Time elapsed: 0.003 s
% 0.58/0.75  % (32347)Instructions burned: 3 (million)
% 0.58/0.75  % (32347)------------------------------
% 0.58/0.75  % (32347)------------------------------
% 0.58/0.76  % (32349)Refutation not found, incomplete strategy% (32349)------------------------------
% 0.58/0.76  % (32349)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.76  % (32349)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.76  
% 0.58/0.76  % (32349)Memory used [KB]: 1127
% 0.58/0.76  % (32349)Time elapsed: 0.004 s
% 0.58/0.76  % (32349)Instructions burned: 4 (million)
% 0.58/0.76  % (32354)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)
% 0.58/0.76  % (32349)------------------------------
% 0.58/0.76  % (32349)------------------------------
% 0.58/0.76  % (32344)Refutation not found, incomplete strategy% (32344)------------------------------
% 0.58/0.76  % (32344)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.76  % (32344)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.76  
% 0.58/0.76  % (32344)Memory used [KB]: 1154
% 0.58/0.76  % (32344)Time elapsed: 0.006 s
% 0.58/0.76  % (32344)Instructions burned: 7 (million)
% 0.58/0.76  % (32344)------------------------------
% 0.58/0.76  % (32344)------------------------------
% 0.58/0.76  % (32356)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 (2996ds/50Mi)
% 0.58/0.76  % (32357)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 (2996ds/208Mi)
% 0.58/0.76  % (32350)First to succeed.
% 0.58/0.76  % (32359)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 (2996ds/52Mi)
% 0.58/0.76  % (32350)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-32167"
% 0.58/0.76  % (32350)Refutation found. Thanks to Tanya!
% 0.58/0.76  % SZS status Theorem for Vampire---4
% 0.58/0.76  % SZS output start Proof for Vampire---4
% See solution above
% 0.58/0.76  % (32350)------------------------------
% 0.58/0.76  % (32350)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.76  % (32350)Termination reason: Refutation
% 0.58/0.76  
% 0.58/0.76  % (32350)Memory used [KB]: 1281
% 0.58/0.76  % (32350)Time elapsed: 0.011 s
% 0.58/0.76  % (32350)Instructions burned: 17 (million)
% 0.58/0.76  % (32167)Success in time 0.396 s
% 0.58/0.77  % Vampire---4.8 exiting
%------------------------------------------------------------------------------