TSTP Solution File: PLA021-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : PLA021-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -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 : Wed Aug 31 18:08:33 EDT 2022

% Result   : Unsatisfiable 0.20s 0.54s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   43
% Syntax   : Number of formulae    :  118 (  26 unt;   0 def)
%            Number of atoms       :  359 (   0 equ)
%            Maximal formula atoms :   11 (   3 avg)
%            Number of connectives :  484 ( 243   ~; 221   |;   0   &)
%                                         (  20 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   23 (  22 usr;  21 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;   7 con; 0-2 aty)
%            Number of variables   :   73 (  73   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f272,plain,
    $false,
    inference(avatar_sat_refutation,[],[f47,f58,f61,f70,f74,f86,f90,f117,f132,f156,f172,f176,f197,f201,f248,f256,f263,f265,f267,f269,f271]) ).

fof(f271,plain,
    spl0_34,
    inference(avatar_contradiction_clause,[],[f270]) ).

fof(f270,plain,
    ( $false
    | spl0_34 ),
    inference(resolution,[],[f262,f24]) ).

fof(f24,axiom,
    holds(on(c,d),s0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',initial_state3) ).

fof(f262,plain,
    ( ~ holds(on(c,d),s0)
    | spl0_34 ),
    inference(avatar_component_clause,[],[f260]) ).

fof(f260,plain,
    ( spl0_34
  <=> holds(on(c,d),s0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f269,plain,
    spl0_18,
    inference(avatar_contradiction_clause,[],[f268]) ).

fof(f268,plain,
    ( $false
    | spl0_18 ),
    inference(resolution,[],[f146,f26]) ).

fof(f26,axiom,
    holds(clear(a),s0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',initial_state5) ).

fof(f146,plain,
    ( ~ holds(clear(a),s0)
    | spl0_18 ),
    inference(avatar_component_clause,[],[f144]) ).

fof(f144,plain,
    ( spl0_18
  <=> holds(clear(a),s0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f267,plain,
    spl0_17,
    inference(avatar_contradiction_clause,[],[f266]) ).

fof(f266,plain,
    ( $false
    | spl0_17 ),
    inference(resolution,[],[f142,f28]) ).

fof(f28,axiom,
    holds(clear(c),s0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',initial_state7) ).

fof(f142,plain,
    ( ~ holds(clear(c),s0)
    | spl0_17 ),
    inference(avatar_component_clause,[],[f140]) ).

fof(f140,plain,
    ( spl0_17
  <=> holds(clear(c),s0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f265,plain,
    spl0_11,
    inference(avatar_contradiction_clause,[],[f264]) ).

fof(f264,plain,
    ( $false
    | spl0_11 ),
    inference(resolution,[],[f104,f27]) ).

fof(f27,axiom,
    holds(clear(b),s0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',initial_state6) ).

fof(f104,plain,
    ( ~ holds(clear(b),s0)
    | spl0_11 ),
    inference(avatar_component_clause,[],[f102]) ).

fof(f102,plain,
    ( spl0_11
  <=> holds(clear(b),s0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f263,plain,
    ( ~ spl0_34
    | ~ spl0_11
    | ~ spl0_17
    | ~ spl0_18
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f258,f254,f144,f140,f102,f260]) ).

fof(f254,plain,
    ( spl0_33
  <=> ! [X1] :
        ( ~ holds(clear(b),X1)
        | ~ holds(on(c,d),X1)
        | ~ holds(empty,X1)
        | ~ holds(clear(a),X1)
        | ~ holds(clear(c),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f258,plain,
    ( ~ holds(clear(a),s0)
    | ~ holds(clear(c),s0)
    | ~ holds(clear(b),s0)
    | ~ holds(on(c,d),s0)
    | ~ spl0_33 ),
    inference(resolution,[],[f255,f29]) ).

fof(f29,axiom,
    holds(empty,s0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',initial_state8) ).

fof(f255,plain,
    ( ! [X1] :
        ( ~ holds(empty,X1)
        | ~ holds(clear(c),X1)
        | ~ holds(clear(b),X1)
        | ~ holds(clear(a),X1)
        | ~ holds(on(c,d),X1) )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f254]) ).

fof(f256,plain,
    ( ~ spl0_14
    | spl0_33
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f251,f246,f254,f123]) ).

fof(f123,plain,
    ( spl0_14
  <=> differ(a,c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f246,plain,
    ( spl0_32
  <=> ! [X1] :
        ( ~ holds(empty,X1)
        | ~ holds(clear(a),do(pickup(c),X1))
        | ~ holds(clear(b),X1)
        | ~ holds(clear(c),X1)
        | ~ holds(on(c,d),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f251,plain,
    ( ! [X1] :
        ( ~ holds(clear(b),X1)
        | ~ holds(clear(c),X1)
        | ~ differ(a,c)
        | ~ holds(clear(a),X1)
        | ~ holds(empty,X1)
        | ~ holds(on(c,d),X1) )
    | ~ spl0_32 ),
    inference(resolution,[],[f247,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/benchmark/theBenchmark.p',pickup_4) ).

fof(f247,plain,
    ( ! [X1] :
        ( ~ holds(clear(a),do(pickup(c),X1))
        | ~ holds(clear(c),X1)
        | ~ holds(on(c,d),X1)
        | ~ holds(clear(b),X1)
        | ~ holds(empty,X1) )
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f246]) ).

fof(f248,plain,
    ( ~ spl0_12
    | spl0_32
    | ~ spl0_25 ),
    inference(avatar_split_clause,[],[f243,f191,f246,f108]) ).

fof(f108,plain,
    ( spl0_12
  <=> differ(b,c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f191,plain,
    ( spl0_25
  <=> ! [X0] :
        ( ~ holds(empty,X0)
        | ~ holds(clear(d),do(pickup(c),X0))
        | ~ holds(clear(a),do(pickup(c),X0))
        | ~ holds(clear(b),do(pickup(c),X0))
        | ~ holds(clear(c),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f243,plain,
    ( ! [X1] :
        ( ~ holds(empty,X1)
        | ~ differ(b,c)
        | ~ holds(on(c,d),X1)
        | ~ holds(clear(c),X1)
        | ~ holds(clear(b),X1)
        | ~ holds(clear(a),do(pickup(c),X1)) )
    | ~ spl0_25 ),
    inference(resolution,[],[f204,f5]) ).

fof(f204,plain,
    ( ! [X0] :
        ( ~ holds(clear(b),do(pickup(c),X0))
        | ~ holds(empty,X0)
        | ~ holds(on(c,d),X0)
        | ~ holds(clear(a),do(pickup(c),X0))
        | ~ holds(clear(c),X0) )
    | ~ spl0_25 ),
    inference(duplicate_literal_removal,[],[f202]) ).

fof(f202,plain,
    ( ! [X0] :
        ( ~ holds(on(c,d),X0)
        | ~ holds(clear(b),do(pickup(c),X0))
        | ~ holds(empty,X0)
        | ~ holds(empty,X0)
        | ~ holds(clear(c),X0)
        | ~ holds(clear(a),do(pickup(c),X0))
        | ~ holds(clear(c),X0) )
    | ~ spl0_25 ),
    inference(resolution,[],[f192,f3]) ).

fof(f3,axiom,
    ! [X2,X0,X1] :
      ( holds(clear(X1),do(pickup(X0),X2))
      | ~ holds(empty,X2)
      | ~ holds(on(X0,X1),X2)
      | ~ holds(clear(X0),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pickup_2) ).

fof(f192,plain,
    ( ! [X0] :
        ( ~ holds(clear(d),do(pickup(c),X0))
        | ~ holds(clear(c),X0)
        | ~ holds(clear(b),do(pickup(c),X0))
        | ~ holds(clear(a),do(pickup(c),X0))
        | ~ holds(empty,X0) )
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f191]) ).

fof(f201,plain,
    spl0_26,
    inference(avatar_contradiction_clause,[],[f199]) ).

fof(f199,plain,
    ( $false
    | spl0_26 ),
    inference(resolution,[],[f198,f12]) ).

fof(f12,axiom,
    differ(a,b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',differ_a_b) ).

fof(f198,plain,
    ( ~ differ(a,b)
    | spl0_26 ),
    inference(resolution,[],[f196,f11]) ).

fof(f11,axiom,
    ! [X0,X1] :
      ( differ(X0,X1)
      | ~ differ(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_differ) ).

fof(f196,plain,
    ( ~ differ(b,a)
    | spl0_26 ),
    inference(avatar_component_clause,[],[f194]) ).

fof(f194,plain,
    ( spl0_26
  <=> differ(b,a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f197,plain,
    ( spl0_25
    | ~ spl0_26
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f189,f170,f194,f191]) ).

fof(f170,plain,
    ( spl0_22
  <=> ! [X0] :
        ( ~ holds(clear(a),do(pickup(c),X0))
        | ~ holds(clear(c),X0)
        | ~ holds(empty,X0)
        | ~ holds(clear(d),do(pickup(c),X0))
        | ~ holds(clear(b),do(putdown(c,a),do(pickup(c),X0))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f189,plain,
    ( ! [X0] :
        ( ~ differ(b,a)
        | ~ holds(empty,X0)
        | ~ holds(clear(c),X0)
        | ~ holds(clear(b),do(pickup(c),X0))
        | ~ holds(clear(a),do(pickup(c),X0))
        | ~ holds(clear(d),do(pickup(c),X0)) )
    | ~ spl0_22 ),
    inference(resolution,[],[f171,f10]) ).

fof(f10,axiom,
    ! [X2,X3,X0,X1] :
      ( holds(clear(X3),do(putdown(X0,X1),X2))
      | ~ differ(X3,X1)
      | ~ holds(clear(X3),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',putdown_5) ).

fof(f171,plain,
    ( ! [X0] :
        ( ~ holds(clear(b),do(putdown(c,a),do(pickup(c),X0)))
        | ~ holds(clear(a),do(pickup(c),X0))
        | ~ holds(empty,X0)
        | ~ holds(clear(d),do(pickup(c),X0))
        | ~ holds(clear(c),X0) )
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f170]) ).

fof(f176,plain,
    spl0_21,
    inference(avatar_contradiction_clause,[],[f174]) ).

fof(f174,plain,
    ( $false
    | spl0_21 ),
    inference(resolution,[],[f173,f14]) ).

fof(f14,axiom,
    differ(a,d),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',differ_a_d) ).

fof(f173,plain,
    ( ~ differ(a,d)
    | spl0_21 ),
    inference(resolution,[],[f168,f11]) ).

fof(f168,plain,
    ( ~ differ(d,a)
    | spl0_21 ),
    inference(avatar_component_clause,[],[f166]) ).

fof(f166,plain,
    ( spl0_21
  <=> differ(d,a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f172,plain,
    ( ~ spl0_21
    | spl0_22
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f164,f154,f170,f166]) ).

fof(f154,plain,
    ( spl0_19
  <=> ! [X0] :
        ( ~ holds(clear(b),do(putdown(c,a),do(pickup(c),X0)))
        | ~ holds(clear(c),X0)
        | ~ holds(empty,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_19])]) ).

fof(f164,plain,
    ( ! [X0] :
        ( ~ holds(clear(a),do(pickup(c),X0))
        | ~ differ(d,a)
        | ~ holds(clear(b),do(putdown(c,a),do(pickup(c),X0)))
        | ~ holds(clear(d),do(pickup(c),X0))
        | ~ holds(empty,X0)
        | ~ holds(clear(c),X0) )
    | ~ spl0_19 ),
    inference(resolution,[],[f155,f10]) ).

fof(f155,plain,
    ( ! [X0] :
        ( ~ holds(clear(d),do(putdown(c,a),do(pickup(c),X0)))
        | ~ holds(empty,X0)
        | ~ holds(clear(a),do(pickup(c),X0))
        | ~ holds(clear(b),do(putdown(c,a),do(pickup(c),X0)))
        | ~ holds(clear(c),X0) )
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f154]) ).

fof(f156,plain,
    ( ~ spl0_3
    | spl0_19
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f152,f84,f154,f49]) ).

fof(f49,plain,
    ( spl0_3
  <=> differ(c,table) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f84,plain,
    ( spl0_8
  <=> ! [X1] :
        ( ~ holds(on(c,a),X1)
        | ~ holds(clear(b),X1)
        | ~ holds(clear(d),X1)
        | ~ holds(empty,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f152,plain,
    ( ! [X0] :
        ( ~ holds(clear(b),do(putdown(c,a),do(pickup(c),X0)))
        | ~ holds(clear(d),do(putdown(c,a),do(pickup(c),X0)))
        | ~ differ(c,table)
        | ~ holds(clear(a),do(pickup(c),X0))
        | ~ holds(empty,X0)
        | ~ holds(clear(c),X0) )
    | ~ spl0_8 ),
    inference(duplicate_literal_removal,[],[f150]) ).

fof(f150,plain,
    ( ! [X0] :
        ( ~ holds(clear(d),do(putdown(c,a),do(pickup(c),X0)))
        | ~ holds(clear(c),X0)
        | ~ holds(clear(b),do(putdown(c,a),do(pickup(c),X0)))
        | ~ differ(c,table)
        | ~ holds(empty,X0)
        | ~ holds(empty,X0)
        | ~ holds(clear(c),X0)
        | ~ holds(clear(a),do(pickup(c),X0))
        | ~ differ(c,table)
        | ~ holds(clear(a),do(pickup(c),X0)) )
    | ~ spl0_8 ),
    inference(resolution,[],[f148,f37]) ).

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

fof(f2,axiom,
    ! [X2,X0] :
      ( holds(holding(X0),do(pickup(X0),X2))
      | ~ holds(empty,X2)
      | ~ differ(X0,table)
      | ~ holds(clear(X0),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pickup_1) ).

fof(f7,axiom,
    ! [X2,X0,X1] :
      ( ~ holds(holding(X0),X2)
      | holds(on(X0,X1),do(putdown(X0,X1),X2))
      | ~ holds(clear(X1),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',putdown_2) ).

fof(f148,plain,
    ( ! [X2,X0,X1] :
        ( ~ holds(on(c,a),do(putdown(X0,X1),do(pickup(X0),X2)))
        | ~ holds(clear(X0),X2)
        | ~ holds(clear(b),do(putdown(X0,X1),do(pickup(X0),X2)))
        | ~ holds(clear(X1),do(pickup(X0),X2))
        | ~ holds(empty,X2)
        | ~ differ(X0,table)
        | ~ holds(clear(d),do(putdown(X0,X1),do(pickup(X0),X2))) )
    | ~ spl0_8 ),
    inference(resolution,[],[f91,f2]) ).

fof(f91,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_8 ),
    inference(resolution,[],[f85,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/sandbox2/benchmark/theBenchmark.p',putdown_1) ).

fof(f85,plain,
    ( ! [X1] :
        ( ~ holds(empty,X1)
        | ~ holds(on(c,a),X1)
        | ~ holds(clear(b),X1)
        | ~ holds(clear(d),X1) )
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f84]) ).

fof(f132,plain,
    spl0_14,
    inference(avatar_contradiction_clause,[],[f130]) ).

fof(f130,plain,
    ( $false
    | spl0_14 ),
    inference(resolution,[],[f125,f13]) ).

fof(f13,axiom,
    differ(a,c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',differ_a_c) ).

fof(f125,plain,
    ( ~ differ(a,c)
    | spl0_14 ),
    inference(avatar_component_clause,[],[f123]) ).

fof(f117,plain,
    spl0_12,
    inference(avatar_contradiction_clause,[],[f115]) ).

fof(f115,plain,
    ( $false
    | spl0_12 ),
    inference(resolution,[],[f110,f16]) ).

fof(f16,axiom,
    differ(b,c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',differ_b_c) ).

fof(f110,plain,
    ( ~ differ(b,c)
    | spl0_12 ),
    inference(avatar_component_clause,[],[f108]) ).

fof(f90,plain,
    spl0_7,
    inference(avatar_contradiction_clause,[],[f88]) ).

fof(f88,plain,
    ( $false
    | spl0_7 ),
    inference(resolution,[],[f87,f17]) ).

fof(f17,axiom,
    differ(b,d),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',differ_b_d) ).

fof(f87,plain,
    ( ~ differ(b,d)
    | spl0_7 ),
    inference(resolution,[],[f82,f11]) ).

fof(f82,plain,
    ( ~ differ(d,b)
    | spl0_7 ),
    inference(avatar_component_clause,[],[f80]) ).

fof(f80,plain,
    ( spl0_7
  <=> differ(d,b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f86,plain,
    ( ~ spl0_7
    | spl0_8
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f77,f68,f84,f80]) ).

fof(f68,plain,
    ( spl0_6
  <=> ! [X0] :
        ( ~ holds(clear(b),X0)
        | ~ holds(clear(d),do(pickup(b),X0))
        | ~ holds(on(c,a),X0)
        | ~ holds(empty,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f77,plain,
    ( ! [X1] :
        ( ~ holds(on(c,a),X1)
        | ~ holds(empty,X1)
        | ~ differ(d,b)
        | ~ holds(clear(d),X1)
        | ~ holds(clear(b),X1) )
    | ~ spl0_6 ),
    inference(resolution,[],[f69,f5]) ).

fof(f69,plain,
    ( ! [X0] :
        ( ~ holds(clear(d),do(pickup(b),X0))
        | ~ holds(empty,X0)
        | ~ holds(clear(b),X0)
        | ~ holds(on(c,a),X0) )
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f68]) ).

fof(f74,plain,
    spl0_5,
    inference(avatar_contradiction_clause,[],[f72]) ).

fof(f72,plain,
    ( $false
    | spl0_5 ),
    inference(resolution,[],[f71,f16]) ).

fof(f71,plain,
    ( ~ differ(b,c)
    | spl0_5 ),
    inference(resolution,[],[f66,f11]) ).

fof(f66,plain,
    ( ~ differ(c,b)
    | spl0_5 ),
    inference(avatar_component_clause,[],[f64]) ).

fof(f64,plain,
    ( spl0_5
  <=> differ(c,b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f70,plain,
    ( ~ spl0_5
    | spl0_6
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f62,f45,f68,f64]) ).

fof(f45,plain,
    ( spl0_2
  <=> ! [X0] :
        ( ~ holds(empty,X0)
        | ~ holds(on(c,a),do(pickup(b),X0))
        | ~ holds(clear(d),do(pickup(b),X0))
        | ~ holds(clear(b),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f62,plain,
    ( ! [X0] :
        ( ~ holds(clear(b),X0)
        | ~ holds(empty,X0)
        | ~ holds(on(c,a),X0)
        | ~ holds(clear(d),do(pickup(b),X0))
        | ~ differ(c,b) )
    | ~ spl0_2 ),
    inference(resolution,[],[f46,f4]) ).

fof(f4,axiom,
    ! [X2,X3,X0,X1] :
      ( holds(on(X0,X1),do(pickup(X3),X2))
      | ~ differ(X0,X3)
      | ~ holds(on(X0,X1),X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pickup_3) ).

fof(f46,plain,
    ( ! [X0] :
        ( ~ holds(on(c,a),do(pickup(b),X0))
        | ~ holds(empty,X0)
        | ~ holds(clear(b),X0)
        | ~ holds(clear(d),do(pickup(b),X0)) )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f45]) ).

fof(f61,plain,
    spl0_1,
    inference(avatar_contradiction_clause,[],[f59]) ).

fof(f59,plain,
    ( $false
    | spl0_1 ),
    inference(resolution,[],[f43,f18]) ).

fof(f18,axiom,
    differ(b,table),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',differ_b_table) ).

fof(f43,plain,
    ( ~ differ(b,table)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f41]) ).

fof(f41,plain,
    ( spl0_1
  <=> differ(b,table) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f58,plain,
    spl0_3,
    inference(avatar_contradiction_clause,[],[f56]) ).

fof(f56,plain,
    ( $false
    | spl0_3 ),
    inference(resolution,[],[f51,f20]) ).

fof(f20,axiom,
    differ(c,table),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',differ_c_table) ).

fof(f51,plain,
    ( ~ differ(c,table)
    | spl0_3 ),
    inference(avatar_component_clause,[],[f49]) ).

fof(f47,plain,
    ( ~ spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f38,f45,f41]) ).

fof(f38,plain,
    ! [X0] :
      ( ~ holds(empty,X0)
      | ~ holds(clear(b),X0)
      | ~ differ(b,table)
      | ~ holds(clear(d),do(pickup(b),X0))
      | ~ holds(on(c,a),do(pickup(b),X0)) ),
    inference(resolution,[],[f37,f33]) ).

fof(f33,plain,
    ! [X2,X0,X1] :
      ( ~ holds(on(b,d),do(putdown(X1,X2),X0))
      | ~ holds(on(c,a),X0) ),
    inference(resolution,[],[f9,f32]) ).

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

fof(f31,axiom,
    ! [X2] : ~ holds(and(on(b,d),on(c,a)),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_BD_CA) ).

fof(f1,axiom,
    ! [X2,X0,X1] :
      ( holds(and(X0,X1),X2)
      | ~ holds(X1,X2)
      | ~ holds(X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_definition) ).

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/benchmark/theBenchmark.p',putdown_4) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : PLA021-1 : TPTP v8.1.0. Released v1.1.0.
% 0.11/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n024.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 10:10:34 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.48  % (15505)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 0.20/0.48  % (15499)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.20/0.49  % (15499)Instruction limit reached!
% 0.20/0.49  % (15499)------------------------------
% 0.20/0.49  % (15499)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49  % (15499)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49  % (15499)Termination reason: Unknown
% 0.20/0.49  % (15499)Termination phase: Saturation
% 0.20/0.49  
% 0.20/0.49  % (15499)Memory used [KB]: 5884
% 0.20/0.49  % (15499)Time elapsed: 0.083 s
% 0.20/0.49  % (15499)Instructions burned: 5 (million)
% 0.20/0.49  % (15499)------------------------------
% 0.20/0.49  % (15499)------------------------------
% 0.20/0.51  % (15498)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.20/0.52  % (15505)Instruction limit reached!
% 0.20/0.52  % (15505)------------------------------
% 0.20/0.52  % (15505)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (15505)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (15505)Termination reason: Unknown
% 0.20/0.52  % (15505)Termination phase: Saturation
% 0.20/0.52  
% 0.20/0.52  % (15505)Memory used [KB]: 10618
% 0.20/0.52  % (15505)Time elapsed: 0.110 s
% 0.20/0.52  % (15505)Instructions burned: 29 (million)
% 0.20/0.52  % (15505)------------------------------
% 0.20/0.52  % (15505)------------------------------
% 0.20/0.52  % (15504)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.52  % (15492)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.53  % (15509)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.20/0.53  % (15516)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.53  % (15492)First to succeed.
% 0.20/0.53  % (15496)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53  % (15515)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.20/0.53  % (15487)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.20/0.53  % (15488)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.20/0.53  % (15491)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.20/0.53  % (15491)Refutation not found, incomplete strategy% (15491)------------------------------
% 0.20/0.53  % (15491)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (15491)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (15491)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53  
% 0.20/0.53  % (15491)Memory used [KB]: 5884
% 0.20/0.53  % (15491)Time elapsed: 0.134 s
% 0.20/0.53  % (15491)Instructions burned: 2 (million)
% 0.20/0.53  % (15491)------------------------------
% 0.20/0.53  % (15491)------------------------------
% 0.20/0.53  % (15512)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 0.20/0.53  % (15512)Refutation not found, incomplete strategy% (15512)------------------------------
% 0.20/0.53  % (15512)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (15512)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (15512)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53  
% 0.20/0.53  % (15512)Memory used [KB]: 5884
% 0.20/0.53  % (15512)Time elapsed: 0.143 s
% 0.20/0.53  % (15512)Instructions burned: 2 (million)
% 0.20/0.53  % (15512)------------------------------
% 0.20/0.53  % (15512)------------------------------
% 0.20/0.53  % (15489)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.20/0.53  % (15489)Refutation not found, incomplete strategy% (15489)------------------------------
% 0.20/0.53  % (15489)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (15489)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (15489)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53  
% 0.20/0.53  % (15489)Memory used [KB]: 5884
% 0.20/0.53  % (15489)Time elapsed: 0.131 s
% 0.20/0.53  % (15489)------------------------------
% 0.20/0.53  % (15489)------------------------------
% 0.20/0.54  % (15508)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 0.20/0.54  % (15497)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.54  % (15508)Refutation not found, incomplete strategy% (15508)------------------------------
% 0.20/0.54  % (15508)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (15508)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (15508)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.54  
% 0.20/0.54  % (15508)Memory used [KB]: 5756
% 0.20/0.54  % (15508)Time elapsed: 0.132 s
% 0.20/0.54  % (15508)------------------------------
% 0.20/0.54  % (15508)------------------------------
% 0.20/0.54  % (15506)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.54  % (15497)Instruction limit reached!
% 0.20/0.54  % (15497)------------------------------
% 0.20/0.54  % (15497)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (15497)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (15497)Termination reason: Unknown
% 0.20/0.54  % (15497)Termination phase: Saturation
% 0.20/0.54  
% 0.20/0.54  % (15497)Memory used [KB]: 6012
% 0.20/0.54  % (15497)Time elapsed: 0.134 s
% 0.20/0.54  % (15497)Instructions burned: 6 (million)
% 0.20/0.54  % (15497)------------------------------
% 0.20/0.54  % (15497)------------------------------
% 0.20/0.54  % (15501)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.20/0.54  % (15507)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.54  % (15490)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.20/0.54  % (15490)Refutation not found, incomplete strategy% (15490)------------------------------
% 0.20/0.54  % (15490)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (15490)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (15490)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.54  
% 0.20/0.54  % (15490)Memory used [KB]: 5884
% 0.20/0.54  % (15490)Time elapsed: 0.146 s
% 0.20/0.54  % (15490)Instructions burned: 2 (million)
% 0.20/0.54  % (15490)------------------------------
% 0.20/0.54  % (15490)------------------------------
% 0.20/0.54  % (15511)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.20/0.54  % (15494)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54  % (15504)Instruction limit reached!
% 0.20/0.54  % (15504)------------------------------
% 0.20/0.54  % (15504)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (15504)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (15504)Termination reason: Unknown
% 0.20/0.54  % (15504)Termination phase: Saturation
% 0.20/0.54  
% 0.20/0.54  % (15504)Memory used [KB]: 5884
% 0.20/0.54  % (15504)Time elapsed: 0.139 s
% 0.20/0.54  % (15504)Instructions burned: 9 (million)
% 0.20/0.54  % (15504)------------------------------
% 0.20/0.54  % (15504)------------------------------
% 0.20/0.54  % (15492)Refutation found. Thanks to Tanya!
% 0.20/0.54  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.54  % (15492)------------------------------
% 0.20/0.54  % (15492)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (15492)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (15492)Termination reason: Refutation
% 0.20/0.54  
% 0.20/0.54  % (15492)Memory used [KB]: 6012
% 0.20/0.54  % (15492)Time elapsed: 0.137 s
% 0.20/0.54  % (15492)Instructions burned: 8 (million)
% 0.20/0.54  % (15492)------------------------------
% 0.20/0.54  % (15492)------------------------------
% 0.20/0.54  % (15486)Success in time 0.188 s
%------------------------------------------------------------------------------