TSTP Solution File: SET830-2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET830-2 : 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n008.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 03:49:09 EDT 2024

% Result   : Unsatisfiable 0.61s 0.83s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   31 (   9 unt;   0 def)
%            Number of atoms       :   57 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   46 (  20   ~;  24   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   3 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-3 aty)
%            Number of variables   :   46 (  46   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f64,plain,
    $false,
    inference(avatar_sat_refutation,[],[f59,f61,f63]) ).

fof(f63,plain,
    ~ spl0_4,
    inference(avatar_contradiction_clause,[],[f62]) ).

fof(f62,plain,
    ( $false
    | ~ spl0_4 ),
    inference(resolution,[],[f58,f9]) ).

fof(f9,axiom,
    ~ c_in(v_x,v_X,t_a),
    file('/export/starexec/sandbox2/tmp/tmp.InL8SddhSu/Vampire---4.8_8553',cls_conjecture_4) ).

fof(f58,plain,
    ( c_in(v_x,v_X,t_a)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f56]) ).

fof(f56,plain,
    ( spl0_4
  <=> c_in(v_x,v_X,t_a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f61,plain,
    spl0_3,
    inference(avatar_contradiction_clause,[],[f60]) ).

fof(f60,plain,
    ( $false
    | spl0_3 ),
    inference(resolution,[],[f54,f7]) ).

fof(f7,axiom,
    c_in(v_x,v_Y,t_a),
    file('/export/starexec/sandbox2/tmp/tmp.InL8SddhSu/Vampire---4.8_8553',cls_conjecture_2) ).

fof(f54,plain,
    ( ~ c_in(v_x,v_Y,t_a)
    | spl0_3 ),
    inference(avatar_component_clause,[],[f52]) ).

fof(f52,plain,
    ( spl0_3
  <=> c_in(v_x,v_Y,t_a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f59,plain,
    ( ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f47,f56,f52]) ).

fof(f47,plain,
    ( c_in(v_x,v_X,t_a)
    | ~ c_in(v_x,v_Y,t_a) ),
    inference(resolution,[],[f46,f8]) ).

fof(f8,axiom,
    c_in(v_x,v_Z,t_a),
    file('/export/starexec/sandbox2/tmp/tmp.InL8SddhSu/Vampire---4.8_8553',cls_conjecture_3) ).

fof(f46,plain,
    ! [X0] :
      ( ~ c_in(X0,v_Z,t_a)
      | c_in(X0,v_X,t_a)
      | ~ c_in(X0,v_Y,t_a) ),
    inference(resolution,[],[f42,f3]) ).

fof(f3,axiom,
    ! [X2,X3,X0,X1] :
      ( c_in(X0,c_inter(X1,X2,X3),X3)
      | ~ c_in(X0,X1,X3)
      | ~ c_in(X0,X2,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.InL8SddhSu/Vampire---4.8_8553',cls_Set_OIntI_0) ).

fof(f42,plain,
    ! [X0] :
      ( ~ c_in(X0,c_inter(v_Z,v_Y,t_a),t_a)
      | c_in(X0,v_X,t_a) ),
    inference(resolution,[],[f39,f4]) ).

fof(f4,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ c_lessequals(X1,X2,tc_set(X3))
      | c_in(X0,X2,X3)
      | ~ c_in(X0,X1,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.InL8SddhSu/Vampire---4.8_8553',cls_Set_OsubsetD_0) ).

fof(f39,plain,
    c_lessequals(c_inter(v_Z,v_Y,t_a),v_X,tc_set(t_a)),
    inference(resolution,[],[f38,f33]) ).

fof(f33,plain,
    ! [X0] :
      ( ~ c_lessequals(c_inter(v_Z,X0,t_a),v_Y,tc_set(t_a))
      | c_lessequals(c_inter(v_Z,X0,t_a),v_X,tc_set(t_a)) ),
    inference(resolution,[],[f32,f10]) ).

fof(f10,axiom,
    ! [X4] :
      ( ~ c_lessequals(X4,v_Z,tc_set(t_a))
      | ~ c_lessequals(X4,v_Y,tc_set(t_a))
      | c_lessequals(X4,v_X,tc_set(t_a)) ),
    file('/export/starexec/sandbox2/tmp/tmp.InL8SddhSu/Vampire---4.8_8553',cls_conjecture_5) ).

fof(f32,plain,
    ! [X2,X0,X1] : c_lessequals(c_inter(X0,X1,X2),X0,tc_set(X2)),
    inference(duplicate_literal_removal,[],[f29]) ).

fof(f29,plain,
    ! [X2,X0,X1] :
      ( c_lessequals(c_inter(X0,X1,X2),X0,tc_set(X2))
      | c_lessequals(c_inter(X0,X1,X2),X0,tc_set(X2)) ),
    inference(resolution,[],[f11,f6]) ).

fof(f6,axiom,
    ! [X2,X3,X1] :
      ( ~ c_in(c_Main_OsubsetI__1(X1,X2,X3),X2,X3)
      | c_lessequals(X1,X2,tc_set(X3)) ),
    file('/export/starexec/sandbox2/tmp/tmp.InL8SddhSu/Vampire---4.8_8553',cls_Set_OsubsetI_1) ).

fof(f11,plain,
    ! [X2,X3,X0,X1] :
      ( c_in(c_Main_OsubsetI__1(c_inter(X0,X1,X2),X3,X2),X0,X2)
      | c_lessequals(c_inter(X0,X1,X2),X3,tc_set(X2)) ),
    inference(resolution,[],[f5,f2]) ).

fof(f2,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ c_in(X0,c_inter(X1,X2,X3),X3)
      | c_in(X0,X1,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.InL8SddhSu/Vampire---4.8_8553',cls_Set_OIntE_1) ).

fof(f5,axiom,
    ! [X2,X3,X1] :
      ( c_in(c_Main_OsubsetI__1(X1,X2,X3),X1,X3)
      | c_lessequals(X1,X2,tc_set(X3)) ),
    file('/export/starexec/sandbox2/tmp/tmp.InL8SddhSu/Vampire---4.8_8553',cls_Set_OsubsetI_0) ).

fof(f38,plain,
    ! [X2,X0,X1] : c_lessequals(c_inter(X0,X1,X2),X1,tc_set(X2)),
    inference(duplicate_literal_removal,[],[f35]) ).

fof(f35,plain,
    ! [X2,X0,X1] :
      ( c_lessequals(c_inter(X0,X1,X2),X1,tc_set(X2))
      | c_lessequals(c_inter(X0,X1,X2),X1,tc_set(X2)) ),
    inference(resolution,[],[f12,f6]) ).

fof(f12,plain,
    ! [X2,X3,X0,X1] :
      ( c_in(c_Main_OsubsetI__1(c_inter(X0,X1,X2),X3,X2),X1,X2)
      | c_lessequals(c_inter(X0,X1,X2),X3,tc_set(X2)) ),
    inference(resolution,[],[f5,f1]) ).

fof(f1,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ c_in(X0,c_inter(X1,X2,X3),X3)
      | c_in(X0,X2,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.InL8SddhSu/Vampire---4.8_8553',cls_Set_OIntE_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : SET830-2 : TPTP v8.1.2. Released v3.2.0.
% 0.14/0.15  % 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 : n008.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 17:16:28 EDT 2024
% 0.22/0.36  % CPUTime    : 
% 0.22/0.36  This is a CNF_UNS_RFO_NEQ_NHN problem
% 0.22/0.36  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.InL8SddhSu/Vampire---4.8_8553
% 0.61/0.82  % (8774)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)
% 0.61/0.82  % (8775)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)
% 0.61/0.82  % (8773)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.61/0.82  % (8771)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)
% 0.61/0.82  % (8772)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)
% 0.61/0.82  % (8776)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)
% 0.61/0.82  % (8777)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)
% 0.61/0.82  % (8778)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)
% 0.61/0.83  % (8774)Refutation not found, incomplete strategy% (8774)------------------------------
% 0.61/0.83  % (8774)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.83  % (8776)Refutation not found, incomplete strategy% (8776)------------------------------
% 0.61/0.83  % (8776)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.83  % (8776)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.83  
% 0.61/0.83  % (8776)Memory used [KB]: 963
% 0.61/0.83  % (8776)Time elapsed: 0.003 s
% 0.61/0.83  % (8776)Instructions burned: 2 (million)
% 0.61/0.83  % (8776)------------------------------
% 0.61/0.83  % (8776)------------------------------
% 0.61/0.83  % (8774)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.83  
% 0.61/0.83  % (8774)Memory used [KB]: 950
% 0.61/0.83  % (8774)Time elapsed: 0.003 s
% 0.61/0.83  % (8774)Instructions burned: 2 (million)
% 0.61/0.83  % (8774)------------------------------
% 0.61/0.83  % (8774)------------------------------
% 0.61/0.83  % (8777)Refutation not found, incomplete strategy% (8777)------------------------------
% 0.61/0.83  % (8777)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.83  % (8778)Refutation not found, incomplete strategy% (8778)------------------------------
% 0.61/0.83  % (8778)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.83  % (8778)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.83  
% 0.61/0.83  % (8778)Memory used [KB]: 963
% 0.61/0.83  % (8778)Time elapsed: 0.002 s
% 0.61/0.83  % (8778)Instructions burned: 2 (million)
% 0.61/0.83  % (8778)------------------------------
% 0.61/0.83  % (8778)------------------------------
% 0.61/0.83  % (8777)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.83  
% 0.61/0.83  % (8777)Memory used [KB]: 968
% 0.61/0.83  % (8777)Time elapsed: 0.003 s
% 0.61/0.83  % (8777)Instructions burned: 2 (million)
% 0.61/0.83  % (8777)------------------------------
% 0.61/0.83  % (8777)------------------------------
% 0.61/0.83  % (8772)First to succeed.
% 0.61/0.83  % (8771)Also succeeded, but the first one will report.
% 0.61/0.83  % (8772)Refutation found. Thanks to Tanya!
% 0.61/0.83  % SZS status Unsatisfiable for Vampire---4
% 0.61/0.83  % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.83  % (8772)------------------------------
% 0.61/0.83  % (8772)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.83  % (8772)Termination reason: Refutation
% 0.61/0.83  
% 0.61/0.83  % (8772)Memory used [KB]: 990
% 0.61/0.83  % (8772)Time elapsed: 0.005 s
% 0.61/0.83  % (8772)Instructions burned: 4 (million)
% 0.61/0.83  % (8772)------------------------------
% 0.61/0.83  % (8772)------------------------------
% 0.61/0.83  % (8728)Success in time 0.453 s
% 0.61/0.83  % Vampire---4.8 exiting
%------------------------------------------------------------------------------