TSTP Solution File: PLA022-2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : PLA022-2 : TPTP v8.1.2. Released v1.1.0.
% 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 : 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 : Wed May  1 03:37:04 EDT 2024

% Result   : Unsatisfiable 0.55s 0.74s
% Output   : Refutation 0.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   37 (   9 unt;   0 def)
%            Number of atoms       :  105 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  147 (  79   ~;  66   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   3 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;   6 con; 0-2 aty)
%            Number of variables   :   35 (  35   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f93,plain,
    $false,
    inference(avatar_sat_refutation,[],[f53,f56,f92]) ).

fof(f92,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(avatar_contradiction_clause,[],[f91]) ).

fof(f91,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f90,f28]) ).

fof(f28,axiom,
    holds(clear(c),s0),
    file('/export/starexec/sandbox2/tmp/tmp.Jj0ADd1szb/Vampire---4.8_25580',initial_state7) ).

fof(f90,plain,
    ( ~ holds(clear(c),s0)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f89,f24]) ).

fof(f24,axiom,
    holds(on(c,d),s0),
    file('/export/starexec/sandbox2/tmp/tmp.Jj0ADd1szb/Vampire---4.8_25580',initial_state3) ).

fof(f89,plain,
    ( ~ holds(on(c,d),s0)
    | ~ holds(clear(c),s0)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f88,f26]) ).

fof(f26,axiom,
    holds(clear(a),s0),
    file('/export/starexec/sandbox2/tmp/tmp.Jj0ADd1szb/Vampire---4.8_25580',initial_state5) ).

fof(f88,plain,
    ( ~ holds(clear(a),s0)
    | ~ holds(on(c,d),s0)
    | ~ holds(clear(c),s0)
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(resolution,[],[f71,f29]) ).

fof(f29,axiom,
    holds(empty,s0),
    file('/export/starexec/sandbox2/tmp/tmp.Jj0ADd1szb/Vampire---4.8_25580',initial_state8) ).

fof(f71,plain,
    ( ! [X0] :
        ( ~ holds(empty,X0)
        | ~ holds(clear(a),X0)
        | ~ holds(on(c,d),X0)
        | ~ holds(clear(c),X0) )
    | ~ spl0_1
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f69,f48]) ).

fof(f48,plain,
    ( differ(c,a)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f47]) ).

fof(f47,plain,
    ( spl0_1
  <=> differ(c,a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f69,plain,
    ( ! [X0] :
        ( ~ holds(on(c,d),X0)
        | ~ holds(clear(a),X0)
        | ~ holds(empty,X0)
        | ~ holds(clear(c),X0)
        | ~ differ(c,a) )
    | ~ spl0_2 ),
    inference(resolution,[],[f52,f5]) ).

fof(f5,axiom,
    ! [X2,X3,X0] :
      ( holds(clear(X0),do(pickup(X3),X2))
      | ~ holds(clear(X0),X2)
      | ~ differ(X0,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.Jj0ADd1szb/Vampire---4.8_25580',pickup_4) ).

fof(f52,plain,
    ( ! [X0] :
        ( ~ holds(clear(c),do(pickup(a),X0))
        | ~ holds(on(c,d),X0)
        | ~ holds(clear(a),X0)
        | ~ holds(empty,X0) )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f51]) ).

fof(f51,plain,
    ( spl0_2
  <=> ! [X0] :
        ( ~ holds(empty,X0)
        | ~ holds(on(c,d),X0)
        | ~ holds(clear(a),X0)
        | ~ holds(clear(c),do(pickup(a),X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f56,plain,
    spl0_1,
    inference(avatar_contradiction_clause,[],[f55]) ).

fof(f55,plain,
    ( $false
    | spl0_1 ),
    inference(subsumption_resolution,[],[f54,f13]) ).

fof(f13,axiom,
    differ(a,c),
    file('/export/starexec/sandbox2/tmp/tmp.Jj0ADd1szb/Vampire---4.8_25580',differ_a_c) ).

fof(f54,plain,
    ( ~ differ(a,c)
    | spl0_1 ),
    inference(resolution,[],[f49,f11]) ).

fof(f11,axiom,
    ! [X0,X1] :
      ( differ(X0,X1)
      | ~ differ(X1,X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.Jj0ADd1szb/Vampire---4.8_25580',symmetry_of_differ) ).

fof(f49,plain,
    ( ~ differ(c,a)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f47]) ).

fof(f53,plain,
    ( ~ spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f45,f51,f47]) ).

fof(f45,plain,
    ! [X0] :
      ( ~ holds(empty,X0)
      | ~ holds(clear(c),do(pickup(a),X0))
      | ~ holds(clear(a),X0)
      | ~ holds(on(c,d),X0)
      | ~ differ(c,a) ),
    inference(resolution,[],[f42,f4]) ).

fof(f4,axiom,
    ! [X2,X3,X0,X1] :
      ( holds(on(X0,X1),do(pickup(X3),X2))
      | ~ holds(on(X0,X1),X2)
      | ~ differ(X0,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.Jj0ADd1szb/Vampire---4.8_25580',pickup_3) ).

fof(f42,plain,
    ! [X0] :
      ( ~ holds(on(c,d),do(pickup(a),X0))
      | ~ holds(empty,X0)
      | ~ holds(clear(c),do(pickup(a),X0))
      | ~ holds(clear(a),X0) ),
    inference(resolution,[],[f41,f9]) ).

fof(f9,axiom,
    ! [X2,X3,X0,X1,X4] :
      ( holds(on(X0,X1),do(putdown(X3,X4),X2))
      | ~ holds(on(X0,X1),X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.Jj0ADd1szb/Vampire---4.8_25580',putdown_4) ).

fof(f41,plain,
    ! [X0] :
      ( ~ holds(on(c,d),do(putdown(a,c),do(pickup(a),X0)))
      | ~ holds(clear(a),X0)
      | ~ holds(empty,X0)
      | ~ holds(clear(c),do(pickup(a),X0)) ),
    inference(subsumption_resolution,[],[f39,f15]) ).

fof(f15,axiom,
    differ(a,table),
    file('/export/starexec/sandbox2/tmp/tmp.Jj0ADd1szb/Vampire---4.8_25580',differ_a_table) ).

fof(f39,plain,
    ! [X0] :
      ( ~ holds(clear(c),do(pickup(a),X0))
      | ~ holds(clear(a),X0)
      | ~ holds(empty,X0)
      | ~ differ(a,table)
      | ~ holds(on(c,d),do(putdown(a,c),do(pickup(a),X0))) ),
    inference(resolution,[],[f37,f32]) ).

fof(f32,plain,
    ! [X0] :
      ( ~ holds(on(a,c),X0)
      | ~ holds(on(c,d),X0) ),
    inference(resolution,[],[f1,f31]) ).

fof(f31,axiom,
    ! [X2] : ~ holds(and(on(a,c),on(c,d)),X2),
    file('/export/starexec/sandbox2/tmp/tmp.Jj0ADd1szb/Vampire---4.8_25580',prove_ACD) ).

fof(f1,axiom,
    ! [X2,X0,X1] :
      ( holds(and(X0,X1),X2)
      | ~ holds(X0,X2)
      | ~ holds(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.Jj0ADd1szb/Vampire---4.8_25580',and_definition) ).

fof(f37,plain,
    ! [X2,X0,X1] :
      ( holds(on(X1,X0),do(putdown(X1,X0),do(pickup(X1),X2)))
      | ~ holds(clear(X0),do(pickup(X1),X2))
      | ~ holds(clear(X1),X2)
      | ~ holds(empty,X2)
      | ~ differ(X1,table) ),
    inference(resolution,[],[f7,f2]) ).

fof(f2,axiom,
    ! [X2,X0] :
      ( holds(holding(X0),do(pickup(X0),X2))
      | ~ holds(clear(X0),X2)
      | ~ holds(empty,X2)
      | ~ differ(X0,table) ),
    file('/export/starexec/sandbox2/tmp/tmp.Jj0ADd1szb/Vampire---4.8_25580',pickup_1) ).

fof(f7,axiom,
    ! [X2,X0,X1] :
      ( ~ holds(holding(X0),X2)
      | ~ holds(clear(X1),X2)
      | holds(on(X0,X1),do(putdown(X0,X1),X2)) ),
    file('/export/starexec/sandbox2/tmp/tmp.Jj0ADd1szb/Vampire---4.8_25580',putdown_2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : PLA022-2 : TPTP v8.1.2. Released v1.1.0.
% 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
% 0.15/0.35  % Computer : n028.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % 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 17:56:45 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a CNF_UNS_RFO_NEQ_HRN 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.Jj0ADd1szb/Vampire---4.8_25580
% 0.55/0.74  % (25781)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.74  % (25785)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)
% 0.55/0.74  % (25785)Refutation not found, incomplete strategy% (25785)------------------------------
% 0.55/0.74  % (25785)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.74  % (25785)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74  
% 0.55/0.74  % (25785)Memory used [KB]: 986
% 0.55/0.74  % (25785)Time elapsed: 0.001 s
% 0.55/0.74  % (25785)Instructions burned: 2 (million)
% 0.55/0.74  % (25785)------------------------------
% 0.55/0.74  % (25785)------------------------------
% 0.55/0.74  % (25779)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)
% 0.55/0.74  % (25780)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)
% 0.55/0.74  % (25782)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)
% 0.55/0.74  % (25784)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)
% 0.55/0.74  % (25786)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)
% 0.55/0.74  % (25781)First to succeed.
% 0.55/0.74  % (25784)Refutation not found, incomplete strategy% (25784)------------------------------
% 0.55/0.74  % (25784)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.74  % (25784)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74  
% 0.55/0.74  % (25784)Memory used [KB]: 985
% 0.55/0.74  % (25784)Time elapsed: 0.002 s
% 0.55/0.74  % (25784)Instructions burned: 2 (million)
% 0.55/0.74  % (25784)------------------------------
% 0.55/0.74  % (25784)------------------------------
% 0.55/0.74  % (25786)Refutation not found, incomplete strategy% (25786)------------------------------
% 0.55/0.74  % (25786)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.74  % (25786)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74  
% 0.55/0.74  % (25786)Memory used [KB]: 985
% 0.55/0.74  % (25786)Time elapsed: 0.003 s
% 0.55/0.74  % (25786)Instructions burned: 2 (million)
% 0.55/0.74  % (25786)------------------------------
% 0.55/0.74  % (25786)------------------------------
% 0.55/0.74  % (25781)Refutation found. Thanks to Tanya!
% 0.55/0.74  % SZS status Unsatisfiable for Vampire---4
% 0.55/0.74  % SZS output start Proof for Vampire---4
% See solution above
% 0.55/0.74  % (25781)------------------------------
% 0.55/0.74  % (25781)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.74  % (25781)Termination reason: Refutation
% 0.55/0.74  
% 0.55/0.74  % (25781)Memory used [KB]: 1083
% 0.55/0.74  % (25781)Time elapsed: 0.003 s
% 0.55/0.74  % (25781)Instructions burned: 6 (million)
% 0.55/0.74  % (25781)------------------------------
% 0.55/0.74  % (25781)------------------------------
% 0.55/0.74  % (25731)Success in time 0.379 s
% 0.55/0.74  % Vampire---4.8 exiting
%------------------------------------------------------------------------------