TSTP Solution File: LAT263-2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : LAT263-2 : 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 : n005.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 03:07:40 EDT 2024

% Result   : Unsatisfiable 0.57s 0.76s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   26 (  12 unt;   0 def)
%            Number of atoms       :   49 (   3 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   45 (  22   ~;  20   |;   0   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   4 prp; 0-3 aty)
%            Number of functors    :   13 (  13 usr;   7 con; 0-3 aty)
%            Number of variables   :   14 (  14   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f45,plain,
    $false,
    inference(avatar_sat_refutation,[],[f37,f39,f41,f44]) ).

fof(f44,plain,
    ~ spl0_6,
    inference(avatar_contradiction_clause,[],[f43]) ).

fof(f43,plain,
    ( $false
    | ~ spl0_6 ),
    inference(resolution,[],[f42,f1]) ).

fof(f1,axiom,
    c_lessequals(v_S,v_A,tc_set(t_a)),
    file('/export/starexec/sandbox/tmp/tmp.ZcRo3ajm4q/Vampire---4.8_9101',cls_conjecture_0) ).

fof(f42,plain,
    ( ~ c_lessequals(v_S,v_A,tc_set(t_a))
    | ~ spl0_6 ),
    inference(resolution,[],[f36,f9]) ).

fof(f9,plain,
    ~ c_in(c_Tarski_Olub(v_S,c_Tarski_Odual(v_cl,t_a),t_a),v_A,t_a),
    inference(definition_unfolding,[],[f2,f7]) ).

fof(f7,axiom,
    ! [X2,X0,X1] : c_Tarski_Oglb(X2,X0,X1) = c_Tarski_Olub(X2,c_Tarski_Odual(X0,X1),X1),
    file('/export/starexec/sandbox/tmp/tmp.ZcRo3ajm4q/Vampire---4.8_9101',cls_Tarski_Oglb__dual__lub_0) ).

fof(f2,axiom,
    ~ c_in(c_Tarski_Oglb(v_S,v_cl,t_a),v_A,t_a),
    file('/export/starexec/sandbox/tmp/tmp.ZcRo3ajm4q/Vampire---4.8_9101',cls_conjecture_1) ).

fof(f36,plain,
    ( ! [X0] :
        ( c_in(c_Tarski_Olub(X0,c_Tarski_Odual(v_cl,t_a),t_a),v_A,t_a)
        | ~ c_lessequals(X0,v_A,tc_set(t_a)) )
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f35]) ).

fof(f35,plain,
    ( spl0_6
  <=> ! [X0] :
        ( c_in(c_Tarski_Olub(X0,c_Tarski_Odual(v_cl,t_a),t_a),v_A,t_a)
        | ~ c_lessequals(X0,v_A,tc_set(t_a)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f41,plain,
    spl0_5,
    inference(avatar_contradiction_clause,[],[f40]) ).

fof(f40,plain,
    ( $false
    | spl0_5 ),
    inference(resolution,[],[f33,f6]) ).

fof(f6,axiom,
    c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
    file('/export/starexec/sandbox/tmp/tmp.ZcRo3ajm4q/Vampire---4.8_9101',cls_Tarski_Odual_Acl_A_58_APartialOrder_0) ).

fof(f33,plain,
    ( ~ c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit))
    | spl0_5 ),
    inference(avatar_component_clause,[],[f31]) ).

fof(f31,plain,
    ( spl0_5
  <=> c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f39,plain,
    spl0_4,
    inference(avatar_contradiction_clause,[],[f38]) ).

fof(f38,plain,
    ( $false
    | spl0_4 ),
    inference(resolution,[],[f29,f5]) ).

fof(f5,axiom,
    c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
    file('/export/starexec/sandbox/tmp/tmp.ZcRo3ajm4q/Vampire---4.8_9101',cls_Tarski_Odual_Acl_A_58_ACompleteLattice_0) ).

fof(f29,plain,
    ( ~ c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit))
    | spl0_4 ),
    inference(avatar_component_clause,[],[f27]) ).

fof(f27,plain,
    ( spl0_4
  <=> c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f37,plain,
    ( ~ spl0_4
    | ~ spl0_5
    | spl0_6 ),
    inference(avatar_split_clause,[],[f24,f35,f31,f27]) ).

fof(f24,plain,
    ! [X0] :
      ( c_in(c_Tarski_Olub(X0,c_Tarski_Odual(v_cl,t_a),t_a),v_A,t_a)
      | ~ c_lessequals(X0,v_A,tc_set(t_a))
      | ~ c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit))
      | ~ c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)) ),
    inference(superposition,[],[f11,f3]) ).

fof(f3,axiom,
    v_A = c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),
    file('/export/starexec/sandbox/tmp/tmp.ZcRo3ajm4q/Vampire---4.8_9101',cls_Tarski_OA_A_61_61_Apset_Acl_0) ).

fof(f11,plain,
    ! [X2,X0,X1] :
      ( c_in(c_Tarski_Olub(X2,c_Tarski_Odual(X0,X1),X1),c_Tarski_Opotype_Opset(X0,X1,tc_Product__Type_Ounit),X1)
      | ~ c_lessequals(X2,c_Tarski_Opotype_Opset(X0,X1,tc_Product__Type_Ounit),tc_set(X1))
      | ~ c_in(c_Tarski_Odual(X0,X1),c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X1,tc_Product__Type_Ounit))
      | ~ c_in(c_Tarski_Odual(X0,X1),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(X1,tc_Product__Type_Ounit)) ),
    inference(superposition,[],[f4,f8]) ).

fof(f8,axiom,
    ! [X0,X1] : c_Tarski_Opotype_Opset(X0,X1,tc_Product__Type_Ounit) = c_Tarski_Opotype_Opset(c_Tarski_Odual(X0,X1),X1,tc_Product__Type_Ounit),
    file('/export/starexec/sandbox/tmp/tmp.ZcRo3ajm4q/Vampire---4.8_9101',cls_Tarski_Opset_A_Idual_Acl_J_A_61_61_Apset_Acl_0) ).

fof(f4,axiom,
    ! [X2,X0,X1] :
      ( c_in(c_Tarski_Olub(X2,X0,X1),c_Tarski_Opotype_Opset(X0,X1,tc_Product__Type_Ounit),X1)
      | ~ c_lessequals(X2,c_Tarski_Opotype_Opset(X0,X1,tc_Product__Type_Ounit),tc_set(X1))
      | ~ c_in(X0,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X1,tc_Product__Type_Ounit))
      | ~ c_in(X0,c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(X1,tc_Product__Type_Ounit)) ),
    file('/export/starexec/sandbox/tmp/tmp.ZcRo3ajm4q/Vampire---4.8_9101',cls_Tarski_OCL_Olub__in__lattice_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14  % Problem    : LAT263-2 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.16  % 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
% 0.16/0.37  % Computer : n005.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit   : 300
% 0.16/0.37  % WCLimit    : 300
% 0.16/0.37  % DateTime   : Tue Apr 30 16:20:11 EDT 2024
% 0.16/0.37  % CPUTime    : 
% 0.16/0.37  This is a CNF_UNS_RFO_SEQ_HRN problem
% 0.16/0.37  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.ZcRo3ajm4q/Vampire---4.8_9101
% 0.57/0.75  % (9366)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)
% 0.57/0.75  % (9366)Refutation not found, incomplete strategy% (9366)------------------------------
% 0.57/0.75  % (9366)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.75  % (9366)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (9366)Memory used [KB]: 951
% 0.57/0.75  % (9366)Time elapsed: 0.002 s
% 0.57/0.75  % (9366)Instructions burned: 2 (million)
% 0.57/0.75  % (9366)------------------------------
% 0.57/0.75  % (9366)------------------------------
% 0.57/0.75  % (9360)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)
% 0.57/0.75  % (9361)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)
% 0.57/0.75  % (9363)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)
% 0.57/0.75  % (9365)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)
% 0.57/0.75  % (9367)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)
% 0.57/0.75  % (9360)Refutation not found, incomplete strategy% (9360)------------------------------
% 0.57/0.75  % (9360)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.75  % (9360)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (9360)Memory used [KB]: 950
% 0.57/0.75  % (9360)Time elapsed: 0.002 s
% 0.57/0.75  % (9360)Instructions burned: 2 (million)
% 0.57/0.75  % (9360)------------------------------
% 0.57/0.75  % (9360)------------------------------
% 0.57/0.75  % (9365)Refutation not found, incomplete strategy% (9365)------------------------------
% 0.57/0.75  % (9365)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.75  % (9365)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (9365)Memory used [KB]: 950
% 0.57/0.75  % (9365)Time elapsed: 0.002 s
% 0.57/0.75  % (9365)Instructions burned: 2 (million)
% 0.57/0.75  % (9365)------------------------------
% 0.57/0.75  % (9365)------------------------------
% 0.57/0.75  % (9367)Refutation not found, incomplete strategy% (9367)------------------------------
% 0.57/0.75  % (9367)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.75  % (9367)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (9367)Memory used [KB]: 950
% 0.57/0.75  % (9367)Time elapsed: 0.002 s
% 0.57/0.75  % (9367)Instructions burned: 2 (million)
% 0.57/0.75  % (9367)------------------------------
% 0.57/0.75  % (9367)------------------------------
% 0.57/0.76  % (9362)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.76  % (9364)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)
% 0.57/0.76  % (9361)First to succeed.
% 0.57/0.76  % (9368)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)
% 0.57/0.76  % (9364)Refutation not found, incomplete strategy% (9364)------------------------------
% 0.57/0.76  % (9364)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.76  % (9364)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76  
% 0.57/0.76  % (9364)Memory used [KB]: 951
% 0.57/0.76  % (9364)Time elapsed: 0.002 s
% 0.57/0.76  % (9364)Instructions burned: 2 (million)
% 0.57/0.76  % (9364)------------------------------
% 0.57/0.76  % (9364)------------------------------
% 0.57/0.76  % (9362)Also succeeded, but the first one will report.
% 0.57/0.76  % (9361)Refutation found. Thanks to Tanya!
% 0.57/0.76  % SZS status Unsatisfiable for Vampire---4
% 0.57/0.76  % SZS output start Proof for Vampire---4
% See solution above
% 0.57/0.76  % (9361)------------------------------
% 0.57/0.76  % (9361)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.76  % (9361)Termination reason: Refutation
% 0.57/0.76  
% 0.57/0.76  % (9361)Memory used [KB]: 979
% 0.57/0.76  % (9361)Time elapsed: 0.004 s
% 0.57/0.76  % (9361)Instructions burned: 4 (million)
% 0.57/0.76  % (9361)------------------------------
% 0.57/0.76  % (9361)------------------------------
% 0.57/0.76  % (9356)Success in time 0.378 s
% 0.57/0.76  % Vampire---4.8 exiting
%------------------------------------------------------------------------------