TSTP Solution File: LAT292+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : LAT292+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 : 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 : Wed May  1 03:07:58 EDT 2024

% Result   : Theorem 0.55s 0.75s
% Output   : Refutation 0.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   37 (  13 unt;   0 def)
%            Number of atoms       :  177 (   5 equ)
%            Maximal formula atoms :    9 (   4 avg)
%            Number of connectives :  221 (  81   ~;  74   |;  58   &)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   1 con; 0-1 aty)
%            Number of variables   :   28 (  24   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f227,plain,
    $false,
    inference(subsumption_resolution,[],[f226,f187]) ).

fof(f187,plain,
    r1_filter_1(sK0,k12_lopclset(sK0)),
    inference(unit_resulting_resolution,[],[f147,f148,f150,f149,f151,f158]) ).

fof(f158,plain,
    ! [X0] :
      ( r1_filter_1(X0,k12_lopclset(X0))
      | ~ v10_lattices(X0)
      | ~ v17_lattices(X0)
      | v3_realset2(X0)
      | ~ l3_lattices(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f125]) ).

fof(f125,plain,
    ! [X0] :
      ( r1_filter_1(X0,k12_lopclset(X0))
      | ~ l3_lattices(X0)
      | v3_realset2(X0)
      | ~ v17_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f124]) ).

fof(f124,plain,
    ! [X0] :
      ( r1_filter_1(X0,k12_lopclset(X0))
      | ~ l3_lattices(X0)
      | v3_realset2(X0)
      | ~ v17_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f108]) ).

fof(f108,axiom,
    ! [X0] :
      ( ( l3_lattices(X0)
        & ~ v3_realset2(X0)
        & v17_lattices(X0)
        & v10_lattices(X0)
        & ~ v3_struct_0(X0) )
     => r1_filter_1(X0,k12_lopclset(X0)) ),
    file('/export/starexec/sandbox2/tmp/tmp.qtBjqJJVhf/Vampire---4.8_9806',t43_lopclset) ).

fof(f151,plain,
    l3_lattices(sK0),
    inference(cnf_transformation,[],[f119]) ).

fof(f119,plain,
    ? [X0] :
      ( ! [X1] :
          ( ~ r1_filter_1(X0,k6_lopclset(X1))
          | ~ l1_pre_topc(X1)
          | ~ v2_pre_topc(X1)
          | v3_struct_0(X1) )
      & l3_lattices(X0)
      & ~ v3_realset2(X0)
      & v17_lattices(X0)
      & v10_lattices(X0)
      & ~ v3_struct_0(X0) ),
    inference(flattening,[],[f118]) ).

fof(f118,plain,
    ? [X0] :
      ( ! [X1] :
          ( ~ r1_filter_1(X0,k6_lopclset(X1))
          | ~ l1_pre_topc(X1)
          | ~ v2_pre_topc(X1)
          | v3_struct_0(X1) )
      & 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) )
       => ? [X1] :
            ( r1_filter_1(X0,k6_lopclset(X1))
            & l1_pre_topc(X1)
            & v2_pre_topc(X1)
            & ~ v3_struct_0(X1) ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ! [X0] :
      ( ( l3_lattices(X0)
        & ~ v3_realset2(X0)
        & v17_lattices(X0)
        & v10_lattices(X0)
        & ~ v3_struct_0(X0) )
     => ? [X1] :
          ( r1_filter_1(X0,k6_lopclset(X1))
          & l1_pre_topc(X1)
          & v2_pre_topc(X1)
          & ~ v3_struct_0(X1) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.qtBjqJJVhf/Vampire---4.8_9806',t44_lopclset) ).

fof(f149,plain,
    v17_lattices(sK0),
    inference(cnf_transformation,[],[f119]) ).

fof(f150,plain,
    ~ v3_realset2(sK0),
    inference(cnf_transformation,[],[f119]) ).

fof(f148,plain,
    v10_lattices(sK0),
    inference(cnf_transformation,[],[f119]) ).

fof(f147,plain,
    ~ v3_struct_0(sK0),
    inference(cnf_transformation,[],[f119]) ).

fof(f226,plain,
    ~ r1_filter_1(sK0,k12_lopclset(sK0)),
    inference(forward_demodulation,[],[f219,f186]) ).

fof(f186,plain,
    k12_lopclset(sK0) = k6_lopclset(k11_lopclset(sK0)),
    inference(unit_resulting_resolution,[],[f148,f147,f150,f149,f151,f155]) ).

fof(f155,plain,
    ! [X0] :
      ( ~ l3_lattices(X0)
      | ~ v10_lattices(X0)
      | ~ v17_lattices(X0)
      | v3_realset2(X0)
      | v3_struct_0(X0)
      | k12_lopclset(X0) = k6_lopclset(k11_lopclset(X0)) ),
    inference(cnf_transformation,[],[f123]) ).

fof(f123,plain,
    ! [X0] :
      ( k12_lopclset(X0) = k6_lopclset(k11_lopclset(X0))
      | ~ l3_lattices(X0)
      | v3_realset2(X0)
      | ~ v17_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f122]) ).

fof(f122,plain,
    ! [X0] :
      ( k12_lopclset(X0) = k6_lopclset(k11_lopclset(X0))
      | ~ l3_lattices(X0)
      | v3_realset2(X0)
      | ~ v17_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f38]) ).

fof(f38,axiom,
    ! [X0] :
      ( ( l3_lattices(X0)
        & ~ v3_realset2(X0)
        & v17_lattices(X0)
        & v10_lattices(X0)
        & ~ v3_struct_0(X0) )
     => k12_lopclset(X0) = k6_lopclset(k11_lopclset(X0)) ),
    file('/export/starexec/sandbox2/tmp/tmp.qtBjqJJVhf/Vampire---4.8_9806',d9_lopclset) ).

fof(f219,plain,
    ~ r1_filter_1(sK0,k6_lopclset(k11_lopclset(sK0))),
    inference(unit_resulting_resolution,[],[f191,f193,f194,f146]) ).

fof(f146,plain,
    ! [X1] :
      ( ~ r1_filter_1(sK0,k6_lopclset(X1))
      | ~ v2_pre_topc(X1)
      | ~ l1_pre_topc(X1)
      | v3_struct_0(X1) ),
    inference(cnf_transformation,[],[f119]) ).

fof(f194,plain,
    l1_pre_topc(k11_lopclset(sK0)),
    inference(unit_resulting_resolution,[],[f147,f148,f150,f149,f151,f170]) ).

fof(f170,plain,
    ! [X0] :
      ( l1_pre_topc(k11_lopclset(X0))
      | ~ v10_lattices(X0)
      | ~ v17_lattices(X0)
      | v3_realset2(X0)
      | ~ l3_lattices(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f137]) ).

fof(f137,plain,
    ! [X0] :
      ( ( l1_pre_topc(k11_lopclset(X0))
        & v2_pre_topc(k11_lopclset(X0)) )
      | ~ l3_lattices(X0)
      | v3_realset2(X0)
      | ~ v17_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f136]) ).

fof(f136,plain,
    ! [X0] :
      ( ( l1_pre_topc(k11_lopclset(X0))
        & v2_pre_topc(k11_lopclset(X0)) )
      | ~ l3_lattices(X0)
      | v3_realset2(X0)
      | ~ v17_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f114]) ).

fof(f114,plain,
    ! [X0] :
      ( ( l3_lattices(X0)
        & ~ v3_realset2(X0)
        & v17_lattices(X0)
        & v10_lattices(X0)
        & ~ v3_struct_0(X0) )
     => ( l1_pre_topc(k11_lopclset(X0))
        & v2_pre_topc(k11_lopclset(X0)) ) ),
    inference(pure_predicate_removal,[],[f41]) ).

fof(f41,axiom,
    ! [X0] :
      ( ( l3_lattices(X0)
        & ~ v3_realset2(X0)
        & v17_lattices(X0)
        & v10_lattices(X0)
        & ~ v3_struct_0(X0) )
     => ( l1_pre_topc(k11_lopclset(X0))
        & v2_pre_topc(k11_lopclset(X0))
        & v1_pre_topc(k11_lopclset(X0)) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.qtBjqJJVhf/Vampire---4.8_9806',dt_k11_lopclset) ).

fof(f193,plain,
    v2_pre_topc(k11_lopclset(sK0)),
    inference(unit_resulting_resolution,[],[f147,f148,f150,f149,f151,f169]) ).

fof(f169,plain,
    ! [X0] :
      ( v2_pre_topc(k11_lopclset(X0))
      | ~ v10_lattices(X0)
      | ~ v17_lattices(X0)
      | v3_realset2(X0)
      | ~ l3_lattices(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f137]) ).

fof(f191,plain,
    ~ v3_struct_0(k11_lopclset(sK0)),
    inference(unit_resulting_resolution,[],[f147,f148,f150,f149,f151,f167]) ).

fof(f167,plain,
    ! [X0] :
      ( ~ v3_struct_0(k11_lopclset(X0))
      | ~ v10_lattices(X0)
      | ~ v17_lattices(X0)
      | v3_realset2(X0)
      | ~ l3_lattices(X0)
      | v3_struct_0(X0) ),
    inference(cnf_transformation,[],[f135]) ).

fof(f135,plain,
    ! [X0] :
      ( ( v2_pre_topc(k11_lopclset(X0))
        & ~ v3_struct_0(k11_lopclset(X0)) )
      | ~ l3_lattices(X0)
      | v3_realset2(X0)
      | ~ v17_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(flattening,[],[f134]) ).

fof(f134,plain,
    ! [X0] :
      ( ( v2_pre_topc(k11_lopclset(X0))
        & ~ v3_struct_0(k11_lopclset(X0)) )
      | ~ l3_lattices(X0)
      | v3_realset2(X0)
      | ~ v17_lattices(X0)
      | ~ v10_lattices(X0)
      | v3_struct_0(X0) ),
    inference(ennf_transformation,[],[f117]) ).

fof(f117,plain,
    ! [X0] :
      ( ( l3_lattices(X0)
        & ~ v3_realset2(X0)
        & v17_lattices(X0)
        & v10_lattices(X0)
        & ~ v3_struct_0(X0) )
     => ( v2_pre_topc(k11_lopclset(X0))
        & ~ v3_struct_0(k11_lopclset(X0)) ) ),
    inference(pure_predicate_removal,[],[f75]) ).

fof(f75,axiom,
    ! [X0] :
      ( ( l3_lattices(X0)
        & ~ v3_realset2(X0)
        & v17_lattices(X0)
        & v10_lattices(X0)
        & ~ v3_struct_0(X0) )
     => ( v2_pre_topc(k11_lopclset(X0))
        & v1_pre_topc(k11_lopclset(X0))
        & ~ v3_struct_0(k11_lopclset(X0)) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.qtBjqJJVhf/Vampire---4.8_9806',fc4_lopclset) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : LAT292+1 : TPTP v8.1.2. Released v3.4.0.
% 0.13/0.15  % 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   : Tue Apr 30 16:44:50 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.qtBjqJJVhf/Vampire---4.8_9806
% 0.55/0.75  % (10250)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)
% 0.55/0.75  % (10250)Refutation not found, incomplete strategy% (10250)------------------------------
% 0.55/0.75  % (10250)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.75  % (10250)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75  
% 0.55/0.75  % (10250)Memory used [KB]: 1110
% 0.55/0.75  % (10250)Time elapsed: 0.002 s
% 0.55/0.75  % (10250)Instructions burned: 2 (million)
% 0.55/0.75  % (10250)------------------------------
% 0.55/0.75  % (10250)------------------------------
% 0.55/0.75  % (10243)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)
% 0.55/0.75  % (10245)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.75  % (10246)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)
% 0.55/0.75  % (10244)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)
% 0.55/0.75  % (10247)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)
% 0.55/0.75  % (10248)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)
% 0.55/0.75  % (10249)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)
% 0.55/0.75  % (10248)Refutation not found, incomplete strategy% (10248)------------------------------
% 0.55/0.75  % (10248)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.75  % (10248)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75  
% 0.55/0.75  % (10248)Memory used [KB]: 1110
% 0.55/0.75  % (10248)Time elapsed: 0.003 s
% 0.55/0.75  % (10248)Instructions burned: 2 (million)
% 0.55/0.75  % (10248)------------------------------
% 0.55/0.75  % (10248)------------------------------
% 0.55/0.75  % (10246)Refutation not found, incomplete strategy% (10246)------------------------------
% 0.55/0.75  % (10246)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.75  % (10246)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75  
% 0.55/0.75  % (10246)Memory used [KB]: 1130
% 0.55/0.75  % (10246)Time elapsed: 0.003 s
% 0.55/0.75  % (10246)Instructions burned: 3 (million)
% 0.55/0.75  % (10246)------------------------------
% 0.55/0.75  % (10246)------------------------------
% 0.55/0.75  % (10253)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  % (10243)Refutation not found, incomplete strategy% (10243)------------------------------
% 0.55/0.75  % (10243)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.75  % (10243)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75  
% 0.55/0.75  % (10243)Memory used [KB]: 1158
% 0.55/0.75  % (10243)Time elapsed: 0.005 s
% 0.55/0.75  % (10243)Instructions burned: 7 (million)
% 0.55/0.75  % (10243)------------------------------
% 0.55/0.75  % (10243)------------------------------
% 0.55/0.75  % (10249)First to succeed.
% 0.55/0.75  % (10249)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
% 0.55/0.76  % (10249)------------------------------
% 0.55/0.76  % (10249)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.76  % (10249)Termination reason: Refutation
% 0.55/0.76  
% 0.55/0.76  % (10249)Memory used [KB]: 1144
% 0.55/0.76  % (10249)Time elapsed: 0.006 s
% 0.55/0.76  % (10249)Instructions burned: 8 (million)
% 0.55/0.76  % (10249)------------------------------
% 0.55/0.76  % (10249)------------------------------
% 0.55/0.76  % (10073)Success in time 0.386 s
% 0.55/0.76  % Vampire---4.8 exiting
%------------------------------------------------------------------------------