TSTP Solution File: PLA013-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : PLA013-1 : 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 : n010.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 03:37:01 EDT 2024

% Result   : Unsatisfiable 0.62s 0.81s
% Output   : Refutation 0.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   22
% Syntax   : Number of formulae    :   53 (  13 unt;   0 def)
%            Number of atoms       :  165 (   0 equ)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :  247 ( 135   ~; 110   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    3 (   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   :   61 (  61   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f130,plain,
    $false,
    inference(avatar_sat_refutation,[],[f63,f68,f129]) ).

fof(f129,plain,
    ~ spl0_1,
    inference(avatar_contradiction_clause,[],[f128]) ).

fof(f128,plain,
    ( $false
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f127,f29]) ).

fof(f29,axiom,
    holds(empty,s0),
    file('/export/starexec/sandbox2/tmp/tmp.3z3A5EmVas/Vampire---4.8_25155',initial_state8) ).

fof(f127,plain,
    ( ~ holds(empty,s0)
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f126,f27]) ).

fof(f27,axiom,
    holds(clear(b),s0),
    file('/export/starexec/sandbox2/tmp/tmp.3z3A5EmVas/Vampire---4.8_25155',initial_state6) ).

fof(f126,plain,
    ( ~ holds(clear(b),s0)
    | ~ holds(empty,s0)
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f124,f26]) ).

fof(f26,axiom,
    holds(clear(a),s0),
    file('/export/starexec/sandbox2/tmp/tmp.3z3A5EmVas/Vampire---4.8_25155',initial_state5) ).

fof(f124,plain,
    ( ~ holds(clear(a),s0)
    | ~ holds(clear(b),s0)
    | ~ holds(empty,s0)
    | ~ spl0_1 ),
    inference(resolution,[],[f105,f28]) ).

fof(f28,axiom,
    holds(clear(c),s0),
    file('/export/starexec/sandbox2/tmp/tmp.3z3A5EmVas/Vampire---4.8_25155',initial_state7) ).

fof(f105,plain,
    ( ! [X0] :
        ( ~ holds(clear(c),X0)
        | ~ holds(clear(a),X0)
        | ~ holds(clear(b),X0)
        | ~ holds(empty,X0) )
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f104,f20]) ).

fof(f20,axiom,
    differ(c,table),
    file('/export/starexec/sandbox2/tmp/tmp.3z3A5EmVas/Vampire---4.8_25155',differ_c_table) ).

fof(f104,plain,
    ( ! [X0] :
        ( ~ holds(clear(b),X0)
        | ~ holds(clear(a),X0)
        | ~ differ(c,table)
        | ~ holds(clear(c),X0)
        | ~ holds(empty,X0) )
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f103,f13]) ).

fof(f13,axiom,
    differ(a,c),
    file('/export/starexec/sandbox2/tmp/tmp.3z3A5EmVas/Vampire---4.8_25155',differ_a_c) ).

fof(f103,plain,
    ( ! [X0] :
        ( ~ holds(clear(b),X0)
        | ~ differ(a,c)
        | ~ holds(clear(a),X0)
        | ~ differ(c,table)
        | ~ holds(clear(c),X0)
        | ~ holds(empty,X0) )
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f102,f16]) ).

fof(f16,axiom,
    differ(b,c),
    file('/export/starexec/sandbox2/tmp/tmp.3z3A5EmVas/Vampire---4.8_25155',differ_b_c) ).

fof(f102,plain,
    ( ! [X0] :
        ( ~ differ(b,c)
        | ~ holds(clear(b),X0)
        | ~ differ(a,c)
        | ~ holds(clear(a),X0)
        | ~ differ(c,table)
        | ~ holds(clear(c),X0)
        | ~ holds(empty,X0) )
    | ~ spl0_1 ),
    inference(resolution,[],[f98,f2]) ).

fof(f2,axiom,
    ! [X2,X0] :
      ( ~ differ(X0,table)
      | ~ holds(clear(X0),X2)
      | ~ holds(empty,X2)
      | holds(holding(X0),do(pickup(X0),X2)) ),
    file('/export/starexec/sandbox2/tmp/tmp.3z3A5EmVas/Vampire---4.8_25155',pickup_1) ).

fof(f98,plain,
    ( ! [X0,X1] :
        ( ~ holds(holding(c),do(pickup(X0),X1))
        | ~ differ(b,X0)
        | ~ holds(clear(b),X1)
        | ~ differ(a,X0)
        | ~ holds(clear(a),X1) )
    | ~ spl0_1 ),
    inference(resolution,[],[f82,f5]) ).

fof(f5,axiom,
    ! [X2,X3,X0] :
      ( ~ differ(X0,X3)
      | ~ holds(clear(X0),X2)
      | holds(clear(X0),do(pickup(X3),X2)) ),
    file('/export/starexec/sandbox2/tmp/tmp.3z3A5EmVas/Vampire---4.8_25155',pickup_4) ).

fof(f82,plain,
    ( ! [X0,X1] :
        ( ~ holds(clear(a),do(pickup(X0),X1))
        | ~ holds(holding(c),do(pickup(X0),X1))
        | ~ differ(b,X0)
        | ~ holds(clear(b),X1) )
    | ~ spl0_1 ),
    inference(resolution,[],[f81,f5]) ).

fof(f81,plain,
    ( ! [X0] :
        ( ~ holds(clear(b),X0)
        | ~ holds(holding(c),X0)
        | ~ holds(clear(a),X0) )
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f80,f12]) ).

fof(f12,axiom,
    differ(a,b),
    file('/export/starexec/sandbox2/tmp/tmp.3z3A5EmVas/Vampire---4.8_25155',differ_a_b) ).

fof(f80,plain,
    ( ! [X0] :
        ( ~ holds(clear(b),X0)
        | ~ holds(holding(c),X0)
        | ~ differ(a,b)
        | ~ holds(clear(a),X0) )
    | ~ spl0_1 ),
    inference(resolution,[],[f79,f10]) ).

fof(f10,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ differ(X3,X1)
      | ~ holds(clear(X3),X2)
      | holds(clear(X3),do(putdown(X0,X1),X2)) ),
    file('/export/starexec/sandbox2/tmp/tmp.3z3A5EmVas/Vampire---4.8_25155',putdown_5) ).

fof(f79,plain,
    ( ! [X0] :
        ( ~ holds(clear(a),do(putdown(c,b),X0))
        | ~ holds(clear(b),X0)
        | ~ holds(holding(c),X0) )
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f78,f8]) ).

fof(f8,axiom,
    ! [X2,X0,X1] :
      ( ~ holds(clear(X1),X2)
      | ~ holds(holding(X0),X2)
      | holds(clear(X0),do(putdown(X0,X1),X2)) ),
    file('/export/starexec/sandbox2/tmp/tmp.3z3A5EmVas/Vampire---4.8_25155',putdown_3) ).

fof(f78,plain,
    ( ! [X0] :
        ( ~ holds(clear(a),do(putdown(c,b),X0))
        | ~ holds(clear(c),do(putdown(c,b),X0))
        | ~ holds(clear(b),X0)
        | ~ holds(holding(c),X0) )
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f76,f6]) ).

fof(f6,axiom,
    ! [X2,X0,X1] :
      ( ~ holds(clear(X1),X2)
      | ~ holds(holding(X0),X2)
      | holds(empty,do(putdown(X0,X1),X2)) ),
    file('/export/starexec/sandbox2/tmp/tmp.3z3A5EmVas/Vampire---4.8_25155',putdown_1) ).

fof(f76,plain,
    ( ! [X0] :
        ( ~ holds(empty,do(putdown(c,b),X0))
        | ~ holds(clear(a),do(putdown(c,b),X0))
        | ~ holds(clear(c),do(putdown(c,b),X0))
        | ~ holds(clear(b),X0)
        | ~ holds(holding(c),X0) )
    | ~ spl0_1 ),
    inference(resolution,[],[f58,f7]) ).

fof(f7,axiom,
    ! [X2,X0,X1] :
      ( ~ holds(clear(X1),X2)
      | ~ holds(holding(X0),X2)
      | holds(on(X0,X1),do(putdown(X0,X1),X2)) ),
    file('/export/starexec/sandbox2/tmp/tmp.3z3A5EmVas/Vampire---4.8_25155',putdown_2) ).

fof(f58,plain,
    ( ! [X0] :
        ( ~ holds(on(c,b),X0)
        | ~ holds(empty,X0)
        | ~ holds(clear(a),X0)
        | ~ holds(clear(c),X0) )
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f57]) ).

fof(f57,plain,
    ( spl0_1
  <=> ! [X0] :
        ( ~ holds(on(c,b),X0)
        | ~ holds(empty,X0)
        | ~ holds(clear(a),X0)
        | ~ holds(clear(c),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f68,plain,
    spl0_2,
    inference(avatar_contradiction_clause,[],[f67]) ).

fof(f67,plain,
    ( $false
    | spl0_2 ),
    inference(subsumption_resolution,[],[f66,f13]) ).

fof(f66,plain,
    ( ~ differ(a,c)
    | spl0_2 ),
    inference(resolution,[],[f62,f11]) ).

fof(f11,axiom,
    ! [X0,X1] :
      ( ~ differ(X1,X0)
      | differ(X0,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.3z3A5EmVas/Vampire---4.8_25155',symmetry_of_differ) ).

fof(f62,plain,
    ( ~ differ(c,a)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f60]) ).

fof(f60,plain,
    ( spl0_2
  <=> differ(c,a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f63,plain,
    ( spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f55,f60,f57]) ).

fof(f55,plain,
    ! [X0] :
      ( ~ differ(c,a)
      | ~ holds(on(c,b),X0)
      | ~ holds(clear(c),X0)
      | ~ holds(clear(a),X0)
      | ~ holds(empty,X0) ),
    inference(subsumption_resolution,[],[f54,f15]) ).

fof(f15,axiom,
    differ(a,table),
    file('/export/starexec/sandbox2/tmp/tmp.3z3A5EmVas/Vampire---4.8_25155',differ_a_table) ).

fof(f54,plain,
    ! [X0] :
      ( ~ differ(c,a)
      | ~ holds(on(c,b),X0)
      | ~ holds(clear(c),X0)
      | ~ differ(a,table)
      | ~ holds(clear(a),X0)
      | ~ holds(empty,X0) ),
    inference(resolution,[],[f53,f2]) ).

fof(f53,plain,
    ! [X0,X1] :
      ( ~ holds(holding(a),do(pickup(X0),X1))
      | ~ differ(c,X0)
      | ~ holds(on(c,b),X1)
      | ~ holds(clear(c),X1) ),
    inference(duplicate_literal_removal,[],[f51]) ).

fof(f51,plain,
    ! [X0,X1] :
      ( ~ holds(holding(a),do(pickup(X0),X1))
      | ~ differ(c,X0)
      | ~ holds(on(c,b),X1)
      | ~ differ(c,X0)
      | ~ holds(clear(c),X1) ),
    inference(resolution,[],[f39,f5]) ).

fof(f39,plain,
    ! [X0,X1] :
      ( ~ holds(clear(c),do(pickup(X0),X1))
      | ~ holds(holding(a),do(pickup(X0),X1))
      | ~ differ(c,X0)
      | ~ holds(on(c,b),X1) ),
    inference(resolution,[],[f36,f4]) ).

fof(f4,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ differ(X0,X3)
      | ~ holds(on(X0,X1),X2)
      | holds(on(X0,X1),do(pickup(X3),X2)) ),
    file('/export/starexec/sandbox2/tmp/tmp.3z3A5EmVas/Vampire---4.8_25155',pickup_3) ).

fof(f36,plain,
    ! [X0] :
      ( ~ holds(on(c,b),X0)
      | ~ holds(clear(c),X0)
      | ~ holds(holding(a),X0) ),
    inference(resolution,[],[f35,f7]) ).

fof(f35,plain,
    ! [X2,X0,X1] :
      ( ~ holds(on(a,c),do(putdown(X0,X1),X2))
      | ~ holds(on(c,b),X2) ),
    inference(resolution,[],[f32,f9]) ).

fof(f9,axiom,
    ! [X2,X3,X0,X1,X4] :
      ( ~ holds(on(X0,X1),X2)
      | holds(on(X0,X1),do(putdown(X3,X4),X2)) ),
    file('/export/starexec/sandbox2/tmp/tmp.3z3A5EmVas/Vampire---4.8_25155',putdown_4) ).

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

fof(f1,axiom,
    ! [X2,X0,X1] :
      ( ~ holds(X1,X2)
      | ~ holds(X0,X2)
      | holds(and(X0,X1),X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.3z3A5EmVas/Vampire---4.8_25155',and_definition) ).

fof(f31,axiom,
    ! [X2] : ~ holds(and(on(a,c),on(c,b)),X2),
    file('/export/starexec/sandbox2/tmp/tmp.3z3A5EmVas/Vampire---4.8_25155',prove_ACB) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : PLA013-1 : TPTP v8.1.2. Released v1.1.0.
% 0.07/0.14  % 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
% 0.13/0.35  % Computer : n010.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Apr 30 17:24:04 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.35  This is a CNF_UNS_RFO_NEQ_HRN problem
% 0.13/0.35  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.3z3A5EmVas/Vampire---4.8_25155
% 0.62/0.81  % (25382)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)
% 0.62/0.81  % (25383)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)
% 0.62/0.81  % (25380)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.62/0.81  % (25378)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)
% 0.62/0.81  % (25379)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)
% 0.62/0.81  % (25381)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)
% 0.62/0.81  % (25385)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)
% 0.62/0.81  % (25384)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)
% 0.62/0.81  % (25383)Refutation not found, incomplete strategy% (25383)------------------------------
% 0.62/0.81  % (25383)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.81  % (25383)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.81  
% 0.62/0.81  % (25383)Memory used [KB]: 985
% 0.62/0.81  % (25383)Time elapsed: 0.002 s
% 0.62/0.81  % (25383)Instructions burned: 2 (million)
% 0.62/0.81  % (25383)------------------------------
% 0.62/0.81  % (25383)------------------------------
% 0.62/0.81  % (25385)Refutation not found, incomplete strategy% (25385)------------------------------
% 0.62/0.81  % (25385)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.81  % (25385)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.81  
% 0.62/0.81  % (25385)Memory used [KB]: 985
% 0.62/0.81  % (25385)Time elapsed: 0.003 s
% 0.62/0.81  % (25385)Instructions burned: 2 (million)
% 0.62/0.81  % (25385)------------------------------
% 0.62/0.81  % (25385)------------------------------
% 0.62/0.81  % (25384)Refutation not found, incomplete strategy% (25384)------------------------------
% 0.62/0.81  % (25384)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.81  % (25384)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.81  
% 0.62/0.81  % (25384)Memory used [KB]: 986
% 0.62/0.81  % (25384)Time elapsed: 0.003 s
% 0.62/0.81  % (25384)Instructions burned: 2 (million)
% 0.62/0.81  % (25384)------------------------------
% 0.62/0.81  % (25384)------------------------------
% 0.62/0.81  % (25378)Refutation not found, incomplete strategy% (25378)------------------------------
% 0.62/0.81  % (25378)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.81  % (25378)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.81  
% 0.62/0.81  % (25378)Memory used [KB]: 991
% 0.62/0.81  % (25378)Time elapsed: 0.004 s
% 0.62/0.81  % (25378)Instructions burned: 4 (million)
% 0.62/0.81  % (25378)------------------------------
% 0.62/0.81  % (25378)------------------------------
% 0.62/0.81  % (25382)First to succeed.
% 0.62/0.81  % (25387)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 (2995ds/55Mi)
% 0.62/0.81  % (25382)Refutation found. Thanks to Tanya!
% 0.62/0.81  % SZS status Unsatisfiable for Vampire---4
% 0.62/0.81  % SZS output start Proof for Vampire---4
% See solution above
% 0.62/0.81  % (25382)------------------------------
% 0.62/0.81  % (25382)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.81  % (25382)Termination reason: Refutation
% 0.62/0.81  
% 0.62/0.81  % (25382)Memory used [KB]: 1094
% 0.62/0.81  % (25382)Time elapsed: 0.006 s
% 0.62/0.81  % (25382)Instructions burned: 8 (million)
% 0.62/0.81  % (25382)------------------------------
% 0.62/0.81  % (25382)------------------------------
% 0.62/0.81  % (25315)Success in time 0.443 s
% 0.62/0.81  % Vampire---4.8 exiting
%------------------------------------------------------------------------------