TSTP Solution File: SET834-2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SET834-2 : 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 : n028.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 09:08:43 EDT 2024

% Result   : Unsatisfiable 0.54s 0.75s
% Output   : Refutation 0.54s
% 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 :   47 (  21   ~;  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(f62,plain,
    $false,
    inference(avatar_sat_refutation,[],[f57,f59,f61]) ).

fof(f61,plain,
    ~ spl0_4,
    inference(avatar_contradiction_clause,[],[f60]) ).

fof(f60,plain,
    ( $false
    | ~ spl0_4 ),
    inference(resolution,[],[f56,f8]) ).

fof(f8,axiom,
    ~ c_in(v_x,v_Z,t_a),
    file('/export/starexec/sandbox/tmp/tmp.R7sxUeLGZ2/Vampire---4.8_17005',cls_conjecture_3) ).

fof(f56,plain,
    ( c_in(v_x,v_Z,t_a)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f54]) ).

fof(f54,plain,
    ( spl0_4
  <=> c_in(v_x,v_Z,t_a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f59,plain,
    ~ spl0_3,
    inference(avatar_contradiction_clause,[],[f58]) ).

fof(f58,plain,
    ( $false
    | ~ spl0_3 ),
    inference(resolution,[],[f52,f9]) ).

fof(f9,axiom,
    ~ c_in(v_x,v_Y,t_a),
    file('/export/starexec/sandbox/tmp/tmp.R7sxUeLGZ2/Vampire---4.8_17005',cls_conjecture_4) ).

fof(f52,plain,
    ( c_in(v_x,v_Y,t_a)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f50]) ).

fof(f50,plain,
    ( spl0_3
  <=> c_in(v_x,v_Y,t_a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f57,plain,
    ( spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f47,f54,f50]) ).

fof(f47,plain,
    ( c_in(v_x,v_Z,t_a)
    | c_in(v_x,v_Y,t_a) ),
    inference(resolution,[],[f46,f7]) ).

fof(f7,axiom,
    c_in(v_x,v_X,t_a),
    file('/export/starexec/sandbox/tmp/tmp.R7sxUeLGZ2/Vampire---4.8_17005',cls_conjecture_2) ).

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

fof(f3,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ c_in(X0,c_union(X3,X1,X2),X2)
      | c_in(X0,X1,X2)
      | c_in(X0,X3,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.R7sxUeLGZ2/Vampire---4.8_17005',cls_Set_OUnE_0) ).

fof(f42,plain,
    ! [X0] :
      ( c_in(X0,c_union(v_Y,v_Z,t_a),t_a)
      | ~ c_in(X0,v_X,t_a) ),
    inference(resolution,[],[f40,f4]) ).

fof(f4,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ c_lessequals(X3,X1,tc_set(X2))
      | c_in(X0,X1,X2)
      | ~ c_in(X0,X3,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.R7sxUeLGZ2/Vampire---4.8_17005',cls_Set_OsubsetD_0) ).

fof(f40,plain,
    c_lessequals(v_X,c_union(v_Y,v_Z,t_a),tc_set(t_a)),
    inference(resolution,[],[f38,f33]) ).

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

fof(f10,axiom,
    ! [X4] :
      ( ~ c_lessequals(v_Y,X4,tc_set(t_a))
      | ~ c_lessequals(v_Z,X4,tc_set(t_a))
      | c_lessequals(v_X,X4,tc_set(t_a)) ),
    file('/export/starexec/sandbox/tmp/tmp.R7sxUeLGZ2/Vampire---4.8_17005',cls_conjecture_5) ).

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

fof(f29,plain,
    ! [X2,X0,X1] :
      ( c_lessequals(X0,c_union(X0,X1,X2),tc_set(X2))
      | c_lessequals(X0,c_union(X0,X1,X2),tc_set(X2)) ),
    inference(resolution,[],[f12,f5]) ).

fof(f5,axiom,
    ! [X2,X3,X1] :
      ( c_in(c_Main_OsubsetI__1(X3,X1,X2),X3,X2)
      | c_lessequals(X3,X1,tc_set(X2)) ),
    file('/export/starexec/sandbox/tmp/tmp.R7sxUeLGZ2/Vampire---4.8_17005',cls_Set_OsubsetI_0) ).

fof(f12,plain,
    ! [X2,X3,X0,X1] :
      ( ~ c_in(c_Main_OsubsetI__1(X0,c_union(X1,X2,X3),X3),X1,X3)
      | c_lessequals(X0,c_union(X1,X2,X3),tc_set(X3)) ),
    inference(resolution,[],[f6,f2]) ).

fof(f2,axiom,
    ! [X2,X3,X0,X1] :
      ( c_in(X0,c_union(X3,X1,X2),X2)
      | ~ c_in(X0,X3,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.R7sxUeLGZ2/Vampire---4.8_17005',cls_Set_OUnCI_1) ).

fof(f6,axiom,
    ! [X2,X3,X1] :
      ( ~ c_in(c_Main_OsubsetI__1(X3,X1,X2),X1,X2)
      | c_lessequals(X3,X1,tc_set(X2)) ),
    file('/export/starexec/sandbox/tmp/tmp.R7sxUeLGZ2/Vampire---4.8_17005',cls_Set_OsubsetI_1) ).

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

fof(f35,plain,
    ! [X2,X0,X1] :
      ( c_lessequals(X0,c_union(X1,X0,X2),tc_set(X2))
      | c_lessequals(X0,c_union(X1,X0,X2),tc_set(X2)) ),
    inference(resolution,[],[f13,f5]) ).

fof(f13,plain,
    ! [X2,X3,X0,X1] :
      ( ~ c_in(c_Main_OsubsetI__1(X0,c_union(X1,X2,X3),X3),X2,X3)
      | c_lessequals(X0,c_union(X1,X2,X3),tc_set(X3)) ),
    inference(resolution,[],[f6,f1]) ).

fof(f1,axiom,
    ! [X2,X3,X0,X1] :
      ( c_in(X0,c_union(X3,X1,X2),X2)
      | ~ c_in(X0,X1,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.R7sxUeLGZ2/Vampire---4.8_17005',cls_Set_OUnCI_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SET834-2 : TPTP v8.1.2. Released v3.2.0.
% 0.11/0.13  % 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
% 0.12/0.34  % Computer : n028.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Fri May  3 16:30:23 EDT 2024
% 0.12/0.34  % CPUTime    : 
% 0.12/0.34  This is a CNF_UNS_RFO_NEQ_NHN problem
% 0.12/0.34  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.R7sxUeLGZ2/Vampire---4.8_17005
% 0.54/0.75  % (17115)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)
% 0.54/0.75  % (17122)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)
% 0.54/0.75  % (17118)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)
% 0.54/0.75  % (17117)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.54/0.75  % (17121)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)
% 0.54/0.75  % (17119)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)
% 0.54/0.75  % (17116)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)
% 0.54/0.75  % (17120)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)
% 0.54/0.75  % (17122)Refutation not found, incomplete strategy% (17122)------------------------------
% 0.54/0.75  % (17122)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.75  % (17122)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.75  
% 0.54/0.75  % (17122)Memory used [KB]: 949
% 0.54/0.75  % (17122)Time elapsed: 0.002 s
% 0.54/0.75  % (17122)Instructions burned: 2 (million)
% 0.54/0.75  % (17118)Refutation not found, incomplete strategy% (17118)------------------------------
% 0.54/0.75  % (17118)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.75  % (17118)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.75  
% 0.54/0.75  % (17118)Memory used [KB]: 951
% 0.54/0.75  % (17118)Time elapsed: 0.002 s
% 0.54/0.75  % (17118)Instructions burned: 2 (million)
% 0.54/0.75  % (17121)Refutation not found, incomplete strategy% (17121)------------------------------
% 0.54/0.75  % (17121)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.75  % (17121)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.75  
% 0.54/0.75  % (17121)Memory used [KB]: 952
% 0.54/0.75  % (17121)Time elapsed: 0.002 s
% 0.54/0.75  % (17122)------------------------------
% 0.54/0.75  % (17122)------------------------------
% 0.54/0.75  % (17121)Instructions burned: 2 (million)
% 0.54/0.75  % (17120)Refutation not found, incomplete strategy% (17120)------------------------------
% 0.54/0.75  % (17120)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.75  % (17120)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.75  
% 0.54/0.75  % (17120)Memory used [KB]: 963
% 0.54/0.75  % (17120)Time elapsed: 0.002 s
% 0.54/0.75  % (17120)Instructions burned: 2 (million)
% 0.54/0.75  % (17118)------------------------------
% 0.54/0.75  % (17118)------------------------------
% 0.54/0.75  % (17121)------------------------------
% 0.54/0.75  % (17121)------------------------------
% 0.54/0.75  % (17120)------------------------------
% 0.54/0.75  % (17120)------------------------------
% 0.54/0.75  % (17116)First to succeed.
% 0.54/0.75  % (17115)Also succeeded, but the first one will report.
% 0.54/0.75  % (17116)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-17114"
% 0.54/0.75  % (17116)Refutation found. Thanks to Tanya!
% 0.54/0.75  % SZS status Unsatisfiable for Vampire---4
% 0.54/0.75  % SZS output start Proof for Vampire---4
% See solution above
% 0.54/0.75  % (17116)------------------------------
% 0.54/0.75  % (17116)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.75  % (17116)Termination reason: Refutation
% 0.54/0.75  
% 0.54/0.75  % (17116)Memory used [KB]: 990
% 0.54/0.75  % (17116)Time elapsed: 0.004 s
% 0.54/0.75  % (17116)Instructions burned: 4 (million)
% 0.54/0.75  % (17114)Success in time 0.407 s
% 0.54/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------