TSTP Solution File: PLA011-2 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : PLA011-2 : 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 : n008.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 18:08:31 EDT 2022

% Result   : Unsatisfiable 0.19s 0.49s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   36
% Syntax   : Number of formulae    :   96 (  19 unt;   0 def)
%            Number of atoms       :  319 (   0 equ)
%            Maximal formula atoms :   11 (   3 avg)
%            Number of connectives :  457 ( 234   ~; 208   |;   0   &)
%                                         (  15 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   18 (  17 usr;  16 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;   6 con; 0-2 aty)
%            Number of variables   :   74 (  74   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f301,plain,
    $false,
    inference(avatar_sat_refutation,[],[f47,f58,f61,f84,f87,f102,f119,f121,f128,f196,f230,f235,f284,f291,f298,f300]) ).

fof(f300,plain,
    spl0_36,
    inference(avatar_contradiction_clause,[],[f299]) ).

fof(f299,plain,
    ( $false
    | spl0_36 ),
    inference(resolution,[],[f297,f24]) ).

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

fof(f297,plain,
    ( ~ holds(on(c,d),s0)
    | spl0_36 ),
    inference(avatar_component_clause,[],[f295]) ).

fof(f295,plain,
    ( spl0_36
  <=> holds(on(c,d),s0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f298,plain,
    ( ~ spl0_12
    | ~ spl0_36
    | ~ spl0_11
    | ~ spl0_35 ),
    inference(avatar_split_clause,[],[f293,f289,f106,f295,f110]) ).

fof(f110,plain,
    ( spl0_12
  <=> holds(clear(b),s0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f106,plain,
    ( spl0_11
  <=> holds(clear(c),s0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f289,plain,
    ( spl0_35
  <=> ! [X1] :
        ( ~ holds(clear(c),X1)
        | ~ holds(empty,X1)
        | ~ holds(on(c,d),X1)
        | ~ holds(clear(b),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f293,plain,
    ( ~ holds(clear(c),s0)
    | ~ holds(on(c,d),s0)
    | ~ holds(clear(b),s0)
    | ~ spl0_35 ),
    inference(resolution,[],[f290,f29]) ).

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

fof(f290,plain,
    ( ! [X1] :
        ( ~ holds(empty,X1)
        | ~ holds(clear(c),X1)
        | ~ holds(clear(b),X1)
        | ~ holds(on(c,d),X1) )
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f289]) ).

fof(f291,plain,
    ( ~ spl0_9
    | spl0_35
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f286,f282,f289,f93]) ).

fof(f93,plain,
    ( spl0_9
  <=> differ(b,c) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f282,plain,
    ( spl0_34
  <=> ! [X0] :
        ( ~ holds(on(c,d),X0)
        | ~ holds(clear(c),X0)
        | ~ holds(empty,X0)
        | ~ holds(clear(b),do(pickup(c),X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f286,plain,
    ( ! [X1] :
        ( ~ holds(clear(c),X1)
        | ~ holds(clear(b),X1)
        | ~ holds(on(c,d),X1)
        | ~ differ(b,c)
        | ~ holds(empty,X1) )
    | ~ spl0_34 ),
    inference(resolution,[],[f283,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/benchmark/theBenchmark.p',pickup_4) ).

fof(f283,plain,
    ( ! [X0] :
        ( ~ holds(clear(b),do(pickup(c),X0))
        | ~ holds(on(c,d),X0)
        | ~ holds(empty,X0)
        | ~ holds(clear(c),X0) )
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f282]) ).

fof(f284,plain,
    ( ~ spl0_3
    | spl0_34
    | ~ spl0_27 ),
    inference(avatar_split_clause,[],[f280,f233,f282,f49]) ).

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

fof(f233,plain,
    ( spl0_27
  <=> ! [X0] :
        ( ~ holds(clear(b),do(pickup(c),X0))
        | ~ holds(clear(c),X0)
        | ~ holds(clear(d),do(pickup(c),X0))
        | ~ holds(empty,X0)
        | ~ holds(clear(c),do(putdown(c,b),do(pickup(c),X0))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f280,plain,
    ( ! [X0] :
        ( ~ holds(on(c,d),X0)
        | ~ holds(clear(b),do(pickup(c),X0))
        | ~ differ(c,table)
        | ~ holds(empty,X0)
        | ~ holds(clear(c),X0) )
    | ~ spl0_27 ),
    inference(duplicate_literal_removal,[],[f279]) ).

fof(f279,plain,
    ( ! [X0] :
        ( ~ holds(clear(b),do(pickup(c),X0))
        | ~ differ(c,table)
        | ~ holds(empty,X0)
        | ~ holds(on(c,d),X0)
        | ~ holds(empty,X0)
        | ~ holds(clear(c),X0)
        | ~ holds(clear(c),X0) )
    | ~ spl0_27 ),
    inference(resolution,[],[f274,f2]) ).

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

fof(f274,plain,
    ( ! [X1] :
        ( ~ holds(holding(c),do(pickup(c),X1))
        | ~ holds(clear(b),do(pickup(c),X1))
        | ~ holds(clear(c),X1)
        | ~ holds(empty,X1)
        | ~ holds(on(c,d),X1) )
    | ~ spl0_27 ),
    inference(duplicate_literal_removal,[],[f273]) ).

fof(f273,plain,
    ( ! [X1] :
        ( ~ holds(on(c,d),X1)
        | ~ holds(clear(c),X1)
        | ~ holds(empty,X1)
        | ~ holds(holding(c),do(pickup(c),X1))
        | ~ holds(clear(b),do(pickup(c),X1))
        | ~ holds(clear(b),do(pickup(c),X1)) )
    | ~ spl0_27 ),
    inference(resolution,[],[f238,f8]) ).

fof(f8,axiom,
    ! [X2,X0,X1] :
      ( holds(clear(X0),do(putdown(X0,X1),X2))
      | ~ holds(clear(X1),X2)
      | ~ holds(holding(X0),X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',putdown_3) ).

fof(f238,plain,
    ( ! [X0] :
        ( ~ holds(clear(c),do(putdown(c,b),do(pickup(c),X0)))
        | ~ holds(clear(b),do(pickup(c),X0))
        | ~ holds(clear(c),X0)
        | ~ holds(empty,X0)
        | ~ holds(on(c,d),X0) )
    | ~ spl0_27 ),
    inference(duplicate_literal_removal,[],[f236]) ).

fof(f236,plain,
    ( ! [X0] :
        ( ~ holds(on(c,d),X0)
        | ~ holds(empty,X0)
        | ~ holds(clear(c),X0)
        | ~ holds(clear(c),do(putdown(c,b),do(pickup(c),X0)))
        | ~ holds(clear(b),do(pickup(c),X0))
        | ~ holds(clear(c),X0)
        | ~ holds(empty,X0) )
    | ~ spl0_27 ),
    inference(resolution,[],[f234,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/sandbox/benchmark/theBenchmark.p',pickup_2) ).

fof(f234,plain,
    ( ! [X0] :
        ( ~ holds(clear(d),do(pickup(c),X0))
        | ~ holds(clear(c),X0)
        | ~ holds(empty,X0)
        | ~ holds(clear(c),do(putdown(c,b),do(pickup(c),X0)))
        | ~ holds(clear(b),do(pickup(c),X0)) )
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f233]) ).

fof(f235,plain,
    ( ~ spl0_22
    | spl0_27
    | ~ spl0_26 ),
    inference(avatar_split_clause,[],[f231,f228,f233,f182]) ).

fof(f182,plain,
    ( spl0_22
  <=> differ(d,b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f228,plain,
    ( spl0_26
  <=> ! [X0] :
        ( ~ holds(clear(c),do(putdown(c,b),do(pickup(c),X0)))
        | ~ holds(clear(d),do(putdown(c,b),do(pickup(c),X0)))
        | ~ holds(empty,X0)
        | ~ holds(clear(b),do(pickup(c),X0))
        | ~ holds(clear(c),X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f231,plain,
    ( ! [X0] :
        ( ~ holds(clear(b),do(pickup(c),X0))
        | ~ holds(clear(c),do(putdown(c,b),do(pickup(c),X0)))
        | ~ holds(empty,X0)
        | ~ holds(clear(d),do(pickup(c),X0))
        | ~ holds(clear(c),X0)
        | ~ differ(d,b) )
    | ~ spl0_26 ),
    inference(resolution,[],[f229,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/benchmark/theBenchmark.p',putdown_5) ).

fof(f229,plain,
    ( ! [X0] :
        ( ~ holds(clear(d),do(putdown(c,b),do(pickup(c),X0)))
        | ~ holds(clear(b),do(pickup(c),X0))
        | ~ holds(clear(c),X0)
        | ~ holds(clear(c),do(putdown(c,b),do(pickup(c),X0)))
        | ~ holds(empty,X0) )
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f228]) ).

fof(f230,plain,
    ( ~ spl0_3
    | spl0_26
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f226,f126,f228,f49]) ).

fof(f126,plain,
    ( spl0_14
  <=> ! [X1] :
        ( ~ holds(empty,X1)
        | ~ holds(clear(c),X1)
        | ~ holds(on(c,b),X1)
        | ~ holds(clear(d),X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f226,plain,
    ( ! [X0] :
        ( ~ holds(clear(c),do(putdown(c,b),do(pickup(c),X0)))
        | ~ holds(clear(c),X0)
        | ~ differ(c,table)
        | ~ holds(clear(b),do(pickup(c),X0))
        | ~ holds(empty,X0)
        | ~ holds(clear(d),do(putdown(c,b),do(pickup(c),X0))) )
    | ~ spl0_14 ),
    inference(duplicate_literal_removal,[],[f224]) ).

fof(f224,plain,
    ( ! [X0] :
        ( ~ holds(empty,X0)
        | ~ differ(c,table)
        | ~ holds(clear(b),do(pickup(c),X0))
        | ~ holds(clear(c),do(putdown(c,b),do(pickup(c),X0)))
        | ~ holds(empty,X0)
        | ~ holds(clear(c),X0)
        | ~ differ(c,table)
        | ~ holds(clear(b),do(pickup(c),X0))
        | ~ holds(clear(d),do(putdown(c,b),do(pickup(c),X0)))
        | ~ holds(clear(c),X0) )
    | ~ spl0_14 ),
    inference(resolution,[],[f141,f37]) ).

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

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/sandbox/benchmark/theBenchmark.p',putdown_2) ).

fof(f141,plain,
    ( ! [X2,X0,X1] :
        ( ~ holds(on(c,b),do(putdown(X0,X1),do(pickup(X0),X2)))
        | ~ holds(empty,X2)
        | ~ holds(clear(X0),X2)
        | ~ holds(clear(X1),do(pickup(X0),X2))
        | ~ holds(clear(d),do(putdown(X0,X1),do(pickup(X0),X2)))
        | ~ holds(clear(c),do(putdown(X0,X1),do(pickup(X0),X2)))
        | ~ differ(X0,table) )
    | ~ spl0_14 ),
    inference(resolution,[],[f129,f2]) ).

fof(f129,plain,
    ( ! [X2,X0,X1] :
        ( ~ holds(holding(X0),X2)
        | ~ holds(clear(c),do(putdown(X0,X1),X2))
        | ~ holds(clear(d),do(putdown(X0,X1),X2))
        | ~ holds(on(c,b),do(putdown(X0,X1),X2))
        | ~ holds(clear(X1),X2) )
    | ~ spl0_14 ),
    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/benchmark/theBenchmark.p',putdown_1) ).

fof(f127,plain,
    ( ! [X1] :
        ( ~ holds(empty,X1)
        | ~ holds(on(c,b),X1)
        | ~ holds(clear(d),X1)
        | ~ holds(clear(c),X1) )
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f126]) ).

fof(f196,plain,
    spl0_22,
    inference(avatar_contradiction_clause,[],[f194]) ).

fof(f194,plain,
    ( $false
    | spl0_22 ),
    inference(resolution,[],[f193,f17]) ).

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

fof(f193,plain,
    ( ~ differ(b,d)
    | spl0_22 ),
    inference(resolution,[],[f184,f11]) ).

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

fof(f184,plain,
    ( ~ differ(d,b)
    | spl0_22 ),
    inference(avatar_component_clause,[],[f182]) ).

fof(f128,plain,
    ( spl0_14
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f123,f82,f78,f126]) ).

fof(f78,plain,
    ( spl0_7
  <=> differ(c,d) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f82,plain,
    ( spl0_8
  <=> ! [X0] :
        ( ~ holds(on(c,b),X0)
        | ~ holds(empty,X0)
        | ~ holds(clear(d),X0)
        | ~ holds(clear(c),do(pickup(d),X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f123,plain,
    ( ! [X1] :
        ( ~ differ(c,d)
        | ~ holds(empty,X1)
        | ~ holds(clear(d),X1)
        | ~ holds(on(c,b),X1)
        | ~ holds(clear(c),X1) )
    | ~ spl0_8 ),
    inference(resolution,[],[f83,f5]) ).

fof(f83,plain,
    ( ! [X0] :
        ( ~ holds(clear(c),do(pickup(d),X0))
        | ~ holds(clear(d),X0)
        | ~ holds(empty,X0)
        | ~ holds(on(c,b),X0) )
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f82]) ).

fof(f121,plain,
    spl0_12,
    inference(avatar_contradiction_clause,[],[f120]) ).

fof(f120,plain,
    ( $false
    | spl0_12 ),
    inference(resolution,[],[f112,f27]) ).

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

fof(f112,plain,
    ( ~ holds(clear(b),s0)
    | spl0_12 ),
    inference(avatar_component_clause,[],[f110]) ).

fof(f119,plain,
    spl0_11,
    inference(avatar_contradiction_clause,[],[f118]) ).

fof(f118,plain,
    ( $false
    | spl0_11 ),
    inference(resolution,[],[f108,f28]) ).

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

fof(f108,plain,
    ( ~ holds(clear(c),s0)
    | spl0_11 ),
    inference(avatar_component_clause,[],[f106]) ).

fof(f102,plain,
    spl0_9,
    inference(avatar_contradiction_clause,[],[f100]) ).

fof(f100,plain,
    ( $false
    | spl0_9 ),
    inference(resolution,[],[f95,f16]) ).

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

fof(f95,plain,
    ( ~ differ(b,c)
    | spl0_9 ),
    inference(avatar_component_clause,[],[f93]) ).

fof(f87,plain,
    spl0_7,
    inference(avatar_contradiction_clause,[],[f85]) ).

fof(f85,plain,
    ( $false
    | spl0_7 ),
    inference(resolution,[],[f80,f19]) ).

fof(f19,axiom,
    differ(c,d),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',differ_c_d) ).

fof(f80,plain,
    ( ~ differ(c,d)
    | spl0_7 ),
    inference(avatar_component_clause,[],[f78]) ).

fof(f84,plain,
    ( ~ spl0_7
    | spl0_8
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f76,f45,f82,f78]) ).

fof(f45,plain,
    ( spl0_2
  <=> ! [X1] :
        ( ~ holds(on(c,b),do(putdown(d,c),do(pickup(d),X1)))
        | ~ holds(clear(d),X1)
        | ~ holds(clear(c),do(pickup(d),X1))
        | ~ holds(empty,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f76,plain,
    ( ! [X0] :
        ( ~ holds(on(c,b),X0)
        | ~ holds(clear(c),do(pickup(d),X0))
        | ~ holds(clear(d),X0)
        | ~ holds(empty,X0)
        | ~ differ(c,d) )
    | ~ spl0_2 ),
    inference(resolution,[],[f71,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/sandbox/benchmark/theBenchmark.p',pickup_3) ).

fof(f71,plain,
    ( ! [X0] :
        ( ~ holds(on(c,b),do(pickup(d),X0))
        | ~ holds(clear(c),do(pickup(d),X0))
        | ~ holds(clear(d),X0)
        | ~ holds(empty,X0) )
    | ~ spl0_2 ),
    inference(resolution,[],[f46,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/benchmark/theBenchmark.p',putdown_4) ).

fof(f46,plain,
    ( ! [X1] :
        ( ~ holds(on(c,b),do(putdown(d,c),do(pickup(d),X1)))
        | ~ holds(empty,X1)
        | ~ holds(clear(d),X1)
        | ~ holds(clear(c),do(pickup(d),X1)) )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f45]) ).

fof(f61,plain,
    spl0_3,
    inference(avatar_contradiction_clause,[],[f59]) ).

fof(f59,plain,
    ( $false
    | spl0_3 ),
    inference(resolution,[],[f51,f20]) ).

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

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

fof(f58,plain,
    spl0_1,
    inference(avatar_contradiction_clause,[],[f56]) ).

fof(f56,plain,
    ( $false
    | spl0_1 ),
    inference(resolution,[],[f43,f21]) ).

fof(f21,axiom,
    differ(d,table),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',differ_d_table) ).

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

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

fof(f47,plain,
    ( ~ spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f39,f45,f41]) ).

fof(f39,plain,
    ! [X1] :
      ( ~ holds(on(c,b),do(putdown(d,c),do(pickup(d),X1)))
      | ~ holds(empty,X1)
      | ~ holds(clear(c),do(pickup(d),X1))
      | ~ holds(clear(d),X1)
      | ~ differ(d,table) ),
    inference(resolution,[],[f37,f32]) ).

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

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

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : PLA011-2 : TPTP v8.1.0. Released v1.1.0.
% 0.03/0.12  % 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 : n008.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 10:08:10 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.47  % (12129)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.47  % (12136)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)
% 0.19/0.47  % (12136)Instruction limit reached!
% 0.19/0.47  % (12136)------------------------------
% 0.19/0.47  % (12136)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.47  % (12136)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.47  % (12136)Termination reason: Unknown
% 0.19/0.47  % (12136)Termination phase: Saturation
% 0.19/0.47  
% 0.19/0.47  % (12136)Memory used [KB]: 5884
% 0.19/0.47  % (12136)Time elapsed: 0.088 s
% 0.19/0.47  % (12136)Instructions burned: 5 (million)
% 0.19/0.47  % (12136)------------------------------
% 0.19/0.47  % (12136)------------------------------
% 0.19/0.48  % (12139)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.48  % (12144)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)
% 0.19/0.49  % (12129)First to succeed.
% 0.19/0.49  % (12144)Instruction limit reached!
% 0.19/0.49  % (12144)------------------------------
% 0.19/0.49  % (12144)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49  % (12144)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49  % (12144)Termination reason: Unknown
% 0.19/0.49  % (12144)Termination phase: Saturation
% 0.19/0.49  
% 0.19/0.49  % (12144)Memory used [KB]: 1535
% 0.19/0.49  % (12144)Time elapsed: 0.107 s
% 0.19/0.49  % (12144)Instructions burned: 6 (million)
% 0.19/0.49  % (12144)------------------------------
% 0.19/0.49  % (12144)------------------------------
% 0.19/0.49  % (12129)Refutation found. Thanks to Tanya!
% 0.19/0.49  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.49  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.49  % (12129)------------------------------
% 0.19/0.49  % (12129)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49  % (12129)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49  % (12129)Termination reason: Refutation
% 0.19/0.49  
% 0.19/0.49  % (12129)Memory used [KB]: 6012
% 0.19/0.49  % (12129)Time elapsed: 0.101 s
% 0.19/0.49  % (12129)Instructions burned: 14 (million)
% 0.19/0.49  % (12129)------------------------------
% 0.19/0.50  % (12129)------------------------------
% 0.19/0.50  % (12122)Success in time 0.148 s
%------------------------------------------------------------------------------