TSTP Solution File: PLA017-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : PLA017-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n005.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 : Tue Apr 30 14:42:00 EDT 2024

% Result   : Unsatisfiable 0.22s 0.39s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   39 (  11 unt;   0 def)
%            Number of atoms       :   87 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   96 (  48   ~;  42   |;   0   &)
%                                         (   6 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    9 (   8 usr;   7 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   5 con; 0-2 aty)
%            Number of variables   :   18 (  18   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f80,plain,
    $false,
    inference(avatar_sat_refutation,[],[f43,f46,f57,f61,f75,f77,f79]) ).

fof(f79,plain,
    spl0_6,
    inference(avatar_contradiction_clause,[],[f78]) ).

fof(f78,plain,
    ( $false
    | spl0_6 ),
    inference(resolution,[],[f74,f26]) ).

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

fof(f74,plain,
    ( ~ holds(clear(a),s0)
    | spl0_6 ),
    inference(avatar_component_clause,[],[f72]) ).

fof(f72,plain,
    ( spl0_6
  <=> holds(clear(a),s0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f77,plain,
    spl0_5,
    inference(avatar_contradiction_clause,[],[f76]) ).

fof(f76,plain,
    ( $false
    | spl0_5 ),
    inference(resolution,[],[f70,f29]) ).

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

fof(f70,plain,
    ( ~ holds(empty,s0)
    | spl0_5 ),
    inference(avatar_component_clause,[],[f68]) ).

fof(f68,plain,
    ( spl0_5
  <=> holds(empty,s0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f75,plain,
    ( ~ spl0_5
    | ~ spl0_6
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f62,f55,f72,f68]) ).

fof(f55,plain,
    ( spl0_4
  <=> ! [X0] :
        ( ~ holds(clear(a),X0)
        | ~ holds(clear(c),X0)
        | ~ holds(empty,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f62,plain,
    ( ~ holds(clear(a),s0)
    | ~ holds(empty,s0)
    | ~ spl0_4 ),
    inference(resolution,[],[f56,f28]) ).

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

fof(f56,plain,
    ( ! [X0] :
        ( ~ holds(clear(c),X0)
        | ~ holds(clear(a),X0)
        | ~ holds(empty,X0) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f55]) ).

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

fof(f59,plain,
    ( $false
    | spl0_3 ),
    inference(resolution,[],[f58,f13]) ).

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

fof(f58,plain,
    ( ~ differ(a,c)
    | spl0_3 ),
    inference(resolution,[],[f53,f11]) ).

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

fof(f53,plain,
    ( ~ differ(c,a)
    | spl0_3 ),
    inference(avatar_component_clause,[],[f51]) ).

fof(f51,plain,
    ( spl0_3
  <=> differ(c,a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f57,plain,
    ( ~ spl0_3
    | spl0_4
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f48,f41,f55,f51]) ).

fof(f41,plain,
    ( spl0_2
  <=> ! [X0] :
        ( ~ holds(clear(c),do(pickup(a),X0))
        | ~ holds(clear(a),X0)
        | ~ holds(empty,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f48,plain,
    ( ! [X0] :
        ( ~ holds(clear(a),X0)
        | ~ holds(empty,X0)
        | ~ holds(clear(c),X0)
        | ~ differ(c,a) )
    | ~ spl0_2 ),
    inference(resolution,[],[f42,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(f42,plain,
    ( ! [X0] :
        ( ~ holds(clear(c),do(pickup(a),X0))
        | ~ holds(clear(a),X0)
        | ~ holds(empty,X0) )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f41]) ).

fof(f46,plain,
    spl0_1,
    inference(avatar_contradiction_clause,[],[f44]) ).

fof(f44,plain,
    ( $false
    | spl0_1 ),
    inference(resolution,[],[f39,f15]) ).

fof(f15,axiom,
    differ(a,table),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',differ_a_table) ).

fof(f39,plain,
    ( ~ differ(a,table)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f37]) ).

fof(f37,plain,
    ( spl0_1
  <=> differ(a,table) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f43,plain,
    ( ~ spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f35,f41,f37]) ).

fof(f35,plain,
    ! [X0] :
      ( ~ holds(clear(c),do(pickup(a),X0))
      | ~ holds(empty,X0)
      | ~ holds(clear(a),X0)
      | ~ differ(a,table) ),
    inference(resolution,[],[f34,f2]) ).

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

fof(f34,plain,
    ! [X0] :
      ( ~ holds(holding(a),X0)
      | ~ holds(clear(c),X0) ),
    inference(resolution,[],[f7,f31]) ).

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

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : PLA017-1 : TPTP v8.1.2. Released v1.1.0.
% 0.04/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36  % Computer : n005.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Tue Apr 30 02:16:11 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  % (3821)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.38  % (3822)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.22/0.38  TRYING [1]
% 0.22/0.38  TRYING [2]
% 0.22/0.39  % (3823)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.22/0.39  TRYING [3]
% 0.22/0.39  % (3826)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.22/0.39  % (3824)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.22/0.39  % (3828)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.22/0.39  % (3825)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.22/0.39  % (3827)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.22/0.39  Detected minimum model sizes of [1,1,1,1]
% 0.22/0.39  Detected maximum model sizes of [max,5,max,max]
% 0.22/0.39  TRYING [1,1,1,1]
% 0.22/0.39  % (3824)First to succeed.
% 0.22/0.39  TRYING [2,1,1,1]
% 0.22/0.39  TRYING [1]
% 0.22/0.39  TRYING [3,1,1,1]
% 0.22/0.39  TRYING [2]
% 0.22/0.39  % (3827)Also succeeded, but the first one will report.
% 0.22/0.39  % (3824)Refutation found. Thanks to Tanya!
% 0.22/0.39  % SZS status Unsatisfiable for theBenchmark
% 0.22/0.39  % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.39  % (3824)------------------------------
% 0.22/0.39  % (3824)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.39  % (3824)Termination reason: Refutation
% 0.22/0.39  
% 0.22/0.39  % (3824)Memory used [KB]: 874
% 0.22/0.39  % (3824)Time elapsed: 0.004 s
% 0.22/0.39  % (3824)Instructions burned: 5 (million)
% 0.22/0.39  % (3824)------------------------------
% 0.22/0.39  % (3824)------------------------------
% 0.22/0.39  % (3821)Success in time 0.03 s
%------------------------------------------------------------------------------