TSTP Solution File: PLA005-2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : PLA005-2 : 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n024.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 08:45:33 EDT 2024

% Result   : Unsatisfiable 0.61s 0.76s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   43
% Syntax   : Number of formulae    :  116 (  29 unt;   0 def)
%            Number of atoms       :  366 (   0 equ)
%            Maximal formula atoms :    9 (   3 avg)
%            Number of connectives :  504 ( 254   ~; 231   |;   0   &)
%                                         (  19 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   22 (  21 usr;  20 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;   7 con; 0-2 aty)
%            Number of variables   :   71 (  71   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f363,plain,
    $false,
    inference(avatar_sat_refutation,[],[f90,f109,f111,f128,f130,f132,f134,f151,f162,f206,f286,f288,f297,f299,f305,f325,f346,f353,f360,f362]) ).

fof(f362,plain,
    spl0_40,
    inference(avatar_contradiction_clause,[],[f361]) ).

fof(f361,plain,
    ( $false
    | spl0_40 ),
    inference(resolution,[],[f359,f24]) ).

fof(f24,axiom,
    holds(on(c,d),s0),
    file('/export/starexec/sandbox/tmp/tmp.SoH5Sd2Gyq/Vampire---4.8_31383',initial_state3) ).

fof(f359,plain,
    ( ~ holds(on(c,d),s0)
    | spl0_40 ),
    inference(avatar_component_clause,[],[f357]) ).

fof(f357,plain,
    ( spl0_40
  <=> holds(on(c,d),s0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f360,plain,
    ( ~ spl0_40
    | ~ spl0_12
    | ~ spl0_6
    | ~ spl0_5
    | ~ spl0_39 ),
    inference(avatar_split_clause,[],[f355,f351,f96,f100,f138,f357]) ).

fof(f138,plain,
    ( spl0_12
  <=> holds(clear(b),s0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f100,plain,
    ( spl0_6
  <=> holds(clear(c),s0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f96,plain,
    ( spl0_5
  <=> holds(clear(a),s0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f351,plain,
    ( spl0_39
  <=> ! [X0] :
        ( ~ holds(clear(b),X0)
        | ~ holds(clear(a),X0)
        | ~ holds(clear(c),X0)
        | ~ holds(empty,X0)
        | ~ holds(on(c,d),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f355,plain,
    ( ~ holds(clear(a),s0)
    | ~ holds(clear(c),s0)
    | ~ holds(clear(b),s0)
    | ~ holds(on(c,d),s0)
    | ~ spl0_39 ),
    inference(resolution,[],[f352,f29]) ).

fof(f29,axiom,
    holds(empty,s0),
    file('/export/starexec/sandbox/tmp/tmp.SoH5Sd2Gyq/Vampire---4.8_31383',initial_state8) ).

fof(f352,plain,
    ( ! [X0] :
        ( ~ holds(empty,X0)
        | ~ holds(clear(a),X0)
        | ~ holds(clear(c),X0)
        | ~ holds(clear(b),X0)
        | ~ holds(on(c,d),X0) )
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f351]) ).

fof(f353,plain,
    ( ~ spl0_2
    | spl0_39
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f348,f344,f351,f78]) ).

fof(f78,plain,
    ( spl0_2
  <=> differ(a,c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f344,plain,
    ( spl0_38
  <=> ! [X0] :
        ( ~ holds(clear(a),do(pickup(c),X0))
        | ~ holds(clear(b),X0)
        | ~ holds(on(c,d),X0)
        | ~ holds(empty,X0)
        | ~ holds(clear(c),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f348,plain,
    ( ! [X0] :
        ( ~ holds(clear(b),X0)
        | ~ holds(on(c,d),X0)
        | ~ holds(empty,X0)
        | ~ holds(clear(c),X0)
        | ~ holds(clear(a),X0)
        | ~ differ(a,c) )
    | ~ spl0_38 ),
    inference(resolution,[],[f345,f5]) ).

fof(f5,axiom,
    ! [X2,X3,X0] :
      ( holds(clear(X0),do(pickup(X3),X2))
      | ~ holds(clear(X0),X2)
      | ~ differ(X0,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.SoH5Sd2Gyq/Vampire---4.8_31383',pickup_4) ).

fof(f345,plain,
    ( ! [X0] :
        ( ~ holds(clear(a),do(pickup(c),X0))
        | ~ holds(clear(b),X0)
        | ~ holds(on(c,d),X0)
        | ~ holds(empty,X0)
        | ~ holds(clear(c),X0) )
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f344]) ).

fof(f346,plain,
    ( ~ spl0_35
    | spl0_38
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f341,f303,f344,f317]) ).

fof(f317,plain,
    ( spl0_35
  <=> differ(b,c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f303,plain,
    ( spl0_33
  <=> ! [X0] :
        ( ~ holds(clear(b),do(pickup(c),X0))
        | ~ holds(clear(d),do(pickup(c),X0))
        | ~ holds(clear(a),do(pickup(c),X0))
        | ~ holds(clear(c),X0)
        | ~ holds(empty,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f341,plain,
    ( ! [X0] :
        ( ~ holds(clear(a),do(pickup(c),X0))
        | ~ holds(clear(c),X0)
        | ~ holds(empty,X0)
        | ~ holds(on(c,d),X0)
        | ~ holds(clear(b),X0)
        | ~ differ(b,c) )
    | ~ spl0_33 ),
    inference(resolution,[],[f308,f5]) ).

fof(f308,plain,
    ( ! [X0] :
        ( ~ holds(clear(b),do(pickup(c),X0))
        | ~ holds(clear(a),do(pickup(c),X0))
        | ~ holds(clear(c),X0)
        | ~ holds(empty,X0)
        | ~ holds(on(c,d),X0) )
    | ~ spl0_33 ),
    inference(duplicate_literal_removal,[],[f306]) ).

fof(f306,plain,
    ( ! [X0] :
        ( ~ holds(clear(b),do(pickup(c),X0))
        | ~ holds(clear(a),do(pickup(c),X0))
        | ~ holds(clear(c),X0)
        | ~ holds(empty,X0)
        | ~ holds(clear(c),X0)
        | ~ holds(on(c,d),X0)
        | ~ holds(empty,X0) )
    | ~ spl0_33 ),
    inference(resolution,[],[f304,f3]) ).

fof(f3,axiom,
    ! [X2,X0,X1] :
      ( holds(clear(X1),do(pickup(X0),X2))
      | ~ holds(clear(X0),X2)
      | ~ holds(on(X0,X1),X2)
      | ~ holds(empty,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.SoH5Sd2Gyq/Vampire---4.8_31383',pickup_2) ).

fof(f304,plain,
    ( ! [X0] :
        ( ~ holds(clear(d),do(pickup(c),X0))
        | ~ holds(clear(b),do(pickup(c),X0))
        | ~ holds(clear(a),do(pickup(c),X0))
        | ~ holds(clear(c),X0)
        | ~ holds(empty,X0) )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f303]) ).

fof(f325,plain,
    spl0_35,
    inference(avatar_contradiction_clause,[],[f324]) ).

fof(f324,plain,
    ( $false
    | spl0_35 ),
    inference(resolution,[],[f319,f16]) ).

fof(f16,axiom,
    differ(b,c),
    file('/export/starexec/sandbox/tmp/tmp.SoH5Sd2Gyq/Vampire---4.8_31383',differ_b_c) ).

fof(f319,plain,
    ( ~ differ(b,c)
    | spl0_35 ),
    inference(avatar_component_clause,[],[f317]) ).

fof(f305,plain,
    ( ~ spl0_1
    | spl0_33
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f301,f295,f303,f74]) ).

fof(f74,plain,
    ( spl0_1
  <=> differ(c,table) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f295,plain,
    ( spl0_32
  <=> ! [X0] :
        ( ~ holds(clear(d),do(pickup(c),X0))
        | ~ holds(clear(b),do(pickup(c),X0))
        | ~ holds(empty,X0)
        | ~ holds(clear(c),X0)
        | ~ holds(clear(a),do(pickup(c),X0))
        | ~ holds(holding(c),do(pickup(c),X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f301,plain,
    ( ! [X0] :
        ( ~ holds(clear(b),do(pickup(c),X0))
        | ~ holds(empty,X0)
        | ~ holds(clear(c),X0)
        | ~ holds(clear(a),do(pickup(c),X0))
        | ~ holds(clear(d),do(pickup(c),X0))
        | ~ differ(c,table) )
    | ~ spl0_32 ),
    inference(duplicate_literal_removal,[],[f300]) ).

fof(f300,plain,
    ( ! [X0] :
        ( ~ holds(clear(b),do(pickup(c),X0))
        | ~ holds(empty,X0)
        | ~ holds(clear(c),X0)
        | ~ holds(clear(a),do(pickup(c),X0))
        | ~ holds(clear(d),do(pickup(c),X0))
        | ~ holds(clear(c),X0)
        | ~ holds(empty,X0)
        | ~ differ(c,table) )
    | ~ spl0_32 ),
    inference(resolution,[],[f296,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/sandbox/tmp/tmp.SoH5Sd2Gyq/Vampire---4.8_31383',pickup_1) ).

fof(f296,plain,
    ( ! [X0] :
        ( ~ holds(holding(c),do(pickup(c),X0))
        | ~ holds(clear(b),do(pickup(c),X0))
        | ~ holds(empty,X0)
        | ~ holds(clear(c),X0)
        | ~ holds(clear(a),do(pickup(c),X0))
        | ~ holds(clear(d),do(pickup(c),X0)) )
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f295]) ).

fof(f299,plain,
    spl0_31,
    inference(avatar_contradiction_clause,[],[f298]) ).

fof(f298,plain,
    ( $false
    | spl0_31 ),
    inference(resolution,[],[f293,f33]) ).

fof(f33,plain,
    differ(b,a),
    inference(resolution,[],[f11,f12]) ).

fof(f12,axiom,
    differ(a,b),
    file('/export/starexec/sandbox/tmp/tmp.SoH5Sd2Gyq/Vampire---4.8_31383',differ_a_b) ).

fof(f11,axiom,
    ! [X0,X1] :
      ( ~ differ(X1,X0)
      | differ(X0,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.SoH5Sd2Gyq/Vampire---4.8_31383',symmetry_of_differ) ).

fof(f293,plain,
    ( ~ differ(b,a)
    | spl0_31 ),
    inference(avatar_component_clause,[],[f291]) ).

fof(f291,plain,
    ( spl0_31
  <=> differ(b,a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f297,plain,
    ( ~ spl0_31
    | spl0_32
    | ~ spl0_30 ),
    inference(avatar_split_clause,[],[f289,f284,f295,f291]) ).

fof(f284,plain,
    ( spl0_30
  <=> ! [X0] :
        ( ~ holds(holding(c),do(pickup(c),X0))
        | ~ holds(clear(d),do(pickup(c),X0))
        | ~ holds(clear(b),do(putdown(c,a),do(pickup(c),X0)))
        | ~ holds(clear(a),do(pickup(c),X0))
        | ~ holds(clear(c),X0)
        | ~ holds(empty,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f289,plain,
    ( ! [X0] :
        ( ~ holds(clear(d),do(pickup(c),X0))
        | ~ holds(holding(c),do(pickup(c),X0))
        | ~ holds(clear(a),do(pickup(c),X0))
        | ~ holds(clear(c),X0)
        | ~ holds(empty,X0)
        | ~ holds(clear(b),do(pickup(c),X0))
        | ~ differ(b,a) )
    | ~ spl0_30 ),
    inference(resolution,[],[f285,f10]) ).

fof(f10,axiom,
    ! [X2,X3,X0,X1] :
      ( holds(clear(X3),do(putdown(X0,X1),X2))
      | ~ holds(clear(X3),X2)
      | ~ differ(X3,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.SoH5Sd2Gyq/Vampire---4.8_31383',putdown_5) ).

fof(f285,plain,
    ( ! [X0] :
        ( ~ holds(clear(b),do(putdown(c,a),do(pickup(c),X0)))
        | ~ holds(clear(d),do(pickup(c),X0))
        | ~ holds(holding(c),do(pickup(c),X0))
        | ~ holds(clear(a),do(pickup(c),X0))
        | ~ holds(clear(c),X0)
        | ~ holds(empty,X0) )
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f284]) ).

fof(f288,plain,
    spl0_29,
    inference(avatar_contradiction_clause,[],[f287]) ).

fof(f287,plain,
    ( $false
    | spl0_29 ),
    inference(resolution,[],[f282,f35]) ).

fof(f35,plain,
    differ(d,a),
    inference(resolution,[],[f11,f14]) ).

fof(f14,axiom,
    differ(a,d),
    file('/export/starexec/sandbox/tmp/tmp.SoH5Sd2Gyq/Vampire---4.8_31383',differ_a_d) ).

fof(f282,plain,
    ( ~ differ(d,a)
    | spl0_29 ),
    inference(avatar_component_clause,[],[f280]) ).

fof(f280,plain,
    ( spl0_29
  <=> differ(d,a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f286,plain,
    ( ~ spl0_29
    | spl0_30
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f278,f204,f284,f280]) ).

fof(f204,plain,
    ( spl0_21
  <=> ! [X0] :
        ( ~ holds(clear(b),do(putdown(c,a),do(pickup(c),X0)))
        | ~ holds(holding(c),do(pickup(c),X0))
        | ~ holds(empty,X0)
        | ~ holds(clear(c),X0)
        | ~ holds(clear(a),do(pickup(c),X0))
        | ~ holds(clear(d),do(putdown(c,a),do(pickup(c),X0))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f278,plain,
    ( ! [X0] :
        ( ~ holds(holding(c),do(pickup(c),X0))
        | ~ holds(empty,X0)
        | ~ holds(clear(c),X0)
        | ~ holds(clear(a),do(pickup(c),X0))
        | ~ holds(clear(b),do(putdown(c,a),do(pickup(c),X0)))
        | ~ holds(clear(d),do(pickup(c),X0))
        | ~ differ(d,a) )
    | ~ spl0_21 ),
    inference(resolution,[],[f205,f10]) ).

fof(f205,plain,
    ( ! [X0] :
        ( ~ holds(clear(d),do(putdown(c,a),do(pickup(c),X0)))
        | ~ holds(holding(c),do(pickup(c),X0))
        | ~ holds(empty,X0)
        | ~ holds(clear(c),X0)
        | ~ holds(clear(a),do(pickup(c),X0))
        | ~ holds(clear(b),do(putdown(c,a),do(pickup(c),X0))) )
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f204]) ).

fof(f206,plain,
    ( ~ spl0_1
    | spl0_21
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f202,f126,f204,f74]) ).

fof(f126,plain,
    ( spl0_11
  <=> ! [X0] :
        ( ~ holds(on(c,a),X0)
        | ~ holds(empty,X0)
        | ~ holds(clear(d),X0)
        | ~ holds(clear(b),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f202,plain,
    ( ! [X0] :
        ( ~ holds(clear(b),do(putdown(c,a),do(pickup(c),X0)))
        | ~ holds(clear(d),do(putdown(c,a),do(pickup(c),X0)))
        | ~ holds(clear(a),do(pickup(c),X0))
        | ~ holds(clear(c),X0)
        | ~ holds(empty,X0)
        | ~ differ(c,table)
        | ~ holds(holding(c),do(pickup(c),X0)) )
    | ~ spl0_11 ),
    inference(duplicate_literal_removal,[],[f201]) ).

fof(f201,plain,
    ( ! [X0] :
        ( ~ holds(clear(b),do(putdown(c,a),do(pickup(c),X0)))
        | ~ holds(clear(d),do(putdown(c,a),do(pickup(c),X0)))
        | ~ holds(clear(a),do(pickup(c),X0))
        | ~ holds(clear(c),X0)
        | ~ holds(empty,X0)
        | ~ differ(c,table)
        | ~ holds(holding(c),do(pickup(c),X0))
        | ~ holds(clear(a),do(pickup(c),X0)) )
    | ~ spl0_11 ),
    inference(resolution,[],[f153,f7]) ).

fof(f7,axiom,
    ! [X2,X0,X1] :
      ( holds(on(X0,X1),do(putdown(X0,X1),X2))
      | ~ holds(holding(X0),X2)
      | ~ holds(clear(X1),X2) ),
    file('/export/starexec/sandbox/tmp/tmp.SoH5Sd2Gyq/Vampire---4.8_31383',putdown_2) ).

fof(f153,plain,
    ( ! [X2,X0,X1] :
        ( ~ holds(on(c,a),do(putdown(X0,X1),do(pickup(X0),X2)))
        | ~ holds(clear(b),do(putdown(X0,X1),do(pickup(X0),X2)))
        | ~ holds(clear(d),do(putdown(X0,X1),do(pickup(X0),X2)))
        | ~ holds(clear(X1),do(pickup(X0),X2))
        | ~ holds(clear(X0),X2)
        | ~ holds(empty,X2)
        | ~ differ(X0,table) )
    | ~ spl0_11 ),
    inference(resolution,[],[f135,f2]) ).

fof(f135,plain,
    ( ! [X2,X0,X1] :
        ( ~ holds(holding(X0),X2)
        | ~ holds(clear(d),do(putdown(X0,X1),X2))
        | ~ holds(clear(b),do(putdown(X0,X1),X2))
        | ~ holds(on(c,a),do(putdown(X0,X1),X2))
        | ~ holds(clear(X1),X2) )
    | ~ spl0_11 ),
    inference(resolution,[],[f127,f6]) ).

fof(f6,axiom,
    ! [X2,X0,X1] :
      ( holds(empty,do(putdown(X0,X1),X2))
      | ~ holds(holding(X0),X2)
      | ~ holds(clear(X1),X2) ),
    file('/export/starexec/sandbox/tmp/tmp.SoH5Sd2Gyq/Vampire---4.8_31383',putdown_1) ).

fof(f127,plain,
    ( ! [X0] :
        ( ~ holds(empty,X0)
        | ~ holds(on(c,a),X0)
        | ~ holds(clear(d),X0)
        | ~ holds(clear(b),X0) )
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f126]) ).

fof(f162,plain,
    spl0_1,
    inference(avatar_contradiction_clause,[],[f161]) ).

fof(f161,plain,
    ( $false
    | spl0_1 ),
    inference(resolution,[],[f76,f20]) ).

fof(f20,axiom,
    differ(c,table),
    file('/export/starexec/sandbox/tmp/tmp.SoH5Sd2Gyq/Vampire---4.8_31383',differ_c_table) ).

fof(f76,plain,
    ( ~ differ(c,table)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f74]) ).

fof(f151,plain,
    spl0_12,
    inference(avatar_contradiction_clause,[],[f150]) ).

fof(f150,plain,
    ( $false
    | spl0_12 ),
    inference(resolution,[],[f140,f27]) ).

fof(f27,axiom,
    holds(clear(b),s0),
    file('/export/starexec/sandbox/tmp/tmp.SoH5Sd2Gyq/Vampire---4.8_31383',initial_state6) ).

fof(f140,plain,
    ( ~ holds(clear(b),s0)
    | spl0_12 ),
    inference(avatar_component_clause,[],[f138]) ).

fof(f134,plain,
    spl0_10,
    inference(avatar_contradiction_clause,[],[f133]) ).

fof(f133,plain,
    ( $false
    | spl0_10 ),
    inference(resolution,[],[f124,f19]) ).

fof(f19,axiom,
    differ(c,d),
    file('/export/starexec/sandbox/tmp/tmp.SoH5Sd2Gyq/Vampire---4.8_31383',differ_c_d) ).

fof(f124,plain,
    ( ~ differ(c,d)
    | spl0_10 ),
    inference(avatar_component_clause,[],[f122]) ).

fof(f122,plain,
    ( spl0_10
  <=> differ(c,d) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f132,plain,
    spl0_9,
    inference(avatar_contradiction_clause,[],[f131]) ).

fof(f131,plain,
    ( $false
    | spl0_9 ),
    inference(resolution,[],[f120,f17]) ).

fof(f17,axiom,
    differ(b,d),
    file('/export/starexec/sandbox/tmp/tmp.SoH5Sd2Gyq/Vampire---4.8_31383',differ_b_d) ).

fof(f120,plain,
    ( ~ differ(b,d)
    | spl0_9 ),
    inference(avatar_component_clause,[],[f118]) ).

fof(f118,plain,
    ( spl0_9
  <=> differ(b,d) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f130,plain,
    spl0_8,
    inference(avatar_contradiction_clause,[],[f129]) ).

fof(f129,plain,
    ( $false
    | spl0_8 ),
    inference(resolution,[],[f116,f21]) ).

fof(f21,axiom,
    differ(d,table),
    file('/export/starexec/sandbox/tmp/tmp.SoH5Sd2Gyq/Vampire---4.8_31383',differ_d_table) ).

fof(f116,plain,
    ( ~ differ(d,table)
    | spl0_8 ),
    inference(avatar_component_clause,[],[f114]) ).

fof(f114,plain,
    ( spl0_8
  <=> differ(d,table) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f128,plain,
    ( ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | spl0_11 ),
    inference(avatar_split_clause,[],[f112,f126,f122,f118,f114]) ).

fof(f112,plain,
    ! [X0] :
      ( ~ holds(on(c,a),X0)
      | ~ differ(c,d)
      | ~ holds(clear(b),X0)
      | ~ differ(b,d)
      | ~ holds(clear(d),X0)
      | ~ holds(empty,X0)
      | ~ differ(d,table) ),
    inference(resolution,[],[f71,f2]) ).

fof(f71,plain,
    ! [X0,X1] :
      ( ~ holds(holding(d),do(pickup(X0),X1))
      | ~ holds(on(c,a),X1)
      | ~ differ(c,X0)
      | ~ holds(clear(b),X1)
      | ~ differ(b,X0) ),
    inference(resolution,[],[f65,f5]) ).

fof(f65,plain,
    ! [X0,X1] :
      ( ~ holds(clear(b),do(pickup(X0),X1))
      | ~ holds(holding(d),do(pickup(X0),X1))
      | ~ holds(on(c,a),X1)
      | ~ differ(c,X0) ),
    inference(resolution,[],[f62,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/sandbox/tmp/tmp.SoH5Sd2Gyq/Vampire---4.8_31383',pickup_3) ).

fof(f62,plain,
    ! [X0] :
      ( ~ holds(on(c,a),X0)
      | ~ holds(holding(d),X0)
      | ~ holds(clear(b),X0) ),
    inference(resolution,[],[f58,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/sandbox/tmp/tmp.SoH5Sd2Gyq/Vampire---4.8_31383',putdown_4) ).

fof(f58,plain,
    ! [X0] :
      ( ~ holds(on(c,a),do(putdown(d,b),X0))
      | ~ holds(clear(b),X0)
      | ~ holds(holding(d),X0) ),
    inference(resolution,[],[f7,f52]) ).

fof(f52,plain,
    ! [X0] :
      ( ~ holds(on(d,b),X0)
      | ~ holds(on(c,a),X0) ),
    inference(resolution,[],[f1,f31]) ).

fof(f31,axiom,
    ! [X2] : ~ holds(and(on(d,b),on(c,a)),X2),
    file('/export/starexec/sandbox/tmp/tmp.SoH5Sd2Gyq/Vampire---4.8_31383',prove_DB_AC) ).

fof(f1,axiom,
    ! [X2,X0,X1] :
      ( holds(and(X0,X1),X2)
      | ~ holds(X0,X2)
      | ~ holds(X1,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.SoH5Sd2Gyq/Vampire---4.8_31383',and_definition) ).

fof(f111,plain,
    spl0_6,
    inference(avatar_contradiction_clause,[],[f110]) ).

fof(f110,plain,
    ( $false
    | spl0_6 ),
    inference(resolution,[],[f102,f28]) ).

fof(f28,axiom,
    holds(clear(c),s0),
    file('/export/starexec/sandbox/tmp/tmp.SoH5Sd2Gyq/Vampire---4.8_31383',initial_state7) ).

fof(f102,plain,
    ( ~ holds(clear(c),s0)
    | spl0_6 ),
    inference(avatar_component_clause,[],[f100]) ).

fof(f109,plain,
    spl0_5,
    inference(avatar_contradiction_clause,[],[f108]) ).

fof(f108,plain,
    ( $false
    | spl0_5 ),
    inference(resolution,[],[f98,f26]) ).

fof(f26,axiom,
    holds(clear(a),s0),
    file('/export/starexec/sandbox/tmp/tmp.SoH5Sd2Gyq/Vampire---4.8_31383',initial_state5) ).

fof(f98,plain,
    ( ~ holds(clear(a),s0)
    | spl0_5 ),
    inference(avatar_component_clause,[],[f96]) ).

fof(f90,plain,
    spl0_2,
    inference(avatar_contradiction_clause,[],[f89]) ).

fof(f89,plain,
    ( $false
    | spl0_2 ),
    inference(resolution,[],[f80,f13]) ).

fof(f13,axiom,
    differ(a,c),
    file('/export/starexec/sandbox/tmp/tmp.SoH5Sd2Gyq/Vampire---4.8_31383',differ_a_c) ).

fof(f80,plain,
    ( ~ differ(a,c)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f78]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : PLA005-2 : 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.16/0.36  % Computer : n024.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Fri May  3 18:33:53 EDT 2024
% 0.16/0.36  % CPUTime    : 
% 0.16/0.36  This is a CNF_UNS_RFO_NEQ_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.SoH5Sd2Gyq/Vampire---4.8_31383
% 0.54/0.75  % (31629)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)
% 0.54/0.75  % (31629)Refutation not found, incomplete strategy% (31629)------------------------------
% 0.54/0.75  % (31629)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.75  % (31629)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.75  
% 0.54/0.75  % (31629)Memory used [KB]: 986
% 0.54/0.75  % (31629)Time elapsed: 0.002 s
% 0.54/0.75  % (31629)Instructions burned: 2 (million)
% 0.54/0.75  % (31623)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)
% 0.54/0.75  % (31629)------------------------------
% 0.54/0.75  % (31629)------------------------------
% 0.54/0.75  % (31624)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)
% 0.54/0.75  % (31626)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)
% 0.54/0.75  % (31628)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)
% 0.54/0.75  % (31630)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)
% 0.54/0.75  % (31627)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)
% 0.54/0.75  % (31628)Refutation not found, incomplete strategy% (31628)------------------------------
% 0.54/0.75  % (31628)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.75  % (31628)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.75  
% 0.54/0.75  % (31628)Memory used [KB]: 985
% 0.54/0.75  % (31628)Time elapsed: 0.002 s
% 0.54/0.75  % (31628)Instructions burned: 2 (million)
% 0.54/0.75  % (31625)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.54/0.75  % (31630)Refutation not found, incomplete strategy% (31630)------------------------------
% 0.54/0.75  % (31630)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.75  % (31630)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.75  
% 0.54/0.75  % (31630)Memory used [KB]: 985
% 0.54/0.75  % (31630)Time elapsed: 0.002 s
% 0.54/0.75  % (31628)------------------------------
% 0.54/0.75  % (31628)------------------------------
% 0.54/0.75  % (31630)Instructions burned: 2 (million)
% 0.54/0.75  % (31630)------------------------------
% 0.54/0.75  % (31630)------------------------------
% 0.54/0.75  % (31623)Refutation not found, incomplete strategy% (31623)------------------------------
% 0.54/0.75  % (31623)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.75  % (31623)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.75  
% 0.54/0.75  % (31623)Memory used [KB]: 990
% 0.54/0.75  % (31623)Time elapsed: 0.003 s
% 0.54/0.75  % (31623)Instructions burned: 4 (million)
% 0.54/0.75  % (31623)------------------------------
% 0.54/0.75  % (31623)------------------------------
% 0.54/0.75  % (31631)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)
% 0.60/0.75  % (31633)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/208Mi)
% 0.60/0.75  % (31632)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2996ds/50Mi)
% 0.60/0.75  % (31634)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2996ds/52Mi)
% 0.60/0.76  % (31633)Refutation not found, incomplete strategy% (31633)------------------------------
% 0.60/0.76  % (31633)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76  % (31633)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76  
% 0.60/0.76  % (31633)Memory used [KB]: 991
% 0.60/0.76  % (31633)Time elapsed: 0.004 s
% 0.60/0.76  % (31633)Instructions burned: 3 (million)
% 0.60/0.76  % (31632)Refutation not found, incomplete strategy% (31632)------------------------------
% 0.60/0.76  % (31632)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76  % (31632)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76  
% 0.60/0.76  % (31632)Memory used [KB]: 976
% 0.60/0.76  % (31632)Time elapsed: 0.003 s
% 0.60/0.76  % (31632)Instructions burned: 3 (million)
% 0.60/0.76  % (31633)------------------------------
% 0.60/0.76  % (31633)------------------------------
% 0.60/0.76  % (31632)------------------------------
% 0.60/0.76  % (31632)------------------------------
% 0.60/0.76  % (31624)First to succeed.
% 0.61/0.76  % (31624)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-31619"
% 0.61/0.76  % (31625)Also succeeded, but the first one will report.
% 0.61/0.76  % (31635)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2996ds/518Mi)
% 0.61/0.76  % (31624)Refutation found. Thanks to Tanya!
% 0.61/0.76  % SZS status Unsatisfiable for Vampire---4
% 0.61/0.76  % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.76  % (31624)------------------------------
% 0.61/0.76  % (31624)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.76  % (31624)Termination reason: Refutation
% 0.61/0.76  
% 0.61/0.76  % (31624)Memory used [KB]: 1167
% 0.61/0.76  % (31624)Time elapsed: 0.013 s
% 0.61/0.76  % (31624)Instructions burned: 19 (million)
% 0.61/0.76  % (31619)Success in time 0.387 s
% 0.61/0.76  % Vampire---4.8 exiting
%------------------------------------------------------------------------------