TSTP Solution File: PUZ025-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : PUZ025-1 : TPTP v8.2.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n032.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 May 21 02:27:47 EDT 2024

% Result   : Unsatisfiable 0.47s 0.64s
% Output   : Refutation 0.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   42 (   5 unt;   0 def)
%            Number of atoms       :  111 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  131 (  62   ~;  60   |;   0   &)
%                                         (   9 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   13 (  12 usr;  10 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-2 aty)
%            Number of variables   :   26 (  26   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f76,plain,
    $false,
    inference(avatar_sat_refutation,[],[f32,f40,f44,f48,f50,f52,f63,f70,f72,f74,f75]) ).

fof(f75,plain,
    ( spl0_7
    | ~ spl0_8
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f64,f34,f60,f56]) ).

fof(f56,plain,
    ( spl0_7
  <=> a_truth(equal_type(a,b)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f60,plain,
    ( spl0_8
  <=> a_truth(truthteller(c)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f34,plain,
    ( spl0_3
  <=> ! [X4,X0] :
        ( a_truth(X4)
        | ~ a_truth(truthteller(X0))
        | ~ ask_1_if_2(X0,X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f64,plain,
    ( ~ a_truth(truthteller(c))
    | a_truth(equal_type(a,b))
    | ~ spl0_3 ),
    inference(resolution,[],[f35,f23]) ).

fof(f23,axiom,
    ask_1_if_2(c,equal_type(a,b)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ask_c_if_a_and_b_equal) ).

fof(f35,plain,
    ( ! [X0,X4] :
        ( ~ ask_1_if_2(X0,X4)
        | ~ a_truth(truthteller(X0))
        | a_truth(X4) )
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f34]) ).

fof(f74,plain,
    ( spl0_8
    | spl0_9 ),
    inference(avatar_split_clause,[],[f73,f67,f60]) ).

fof(f67,plain,
    ( spl0_9
  <=> a_truth(liar(c)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f73,plain,
    ( a_truth(truthteller(c))
    | spl0_9 ),
    inference(resolution,[],[f69,f1]) ).

fof(f1,axiom,
    ! [X0] :
      ( a_truth(liar(X0))
      | a_truth(truthteller(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',truthteller_or_liar) ).

fof(f69,plain,
    ( ~ a_truth(liar(c))
    | spl0_9 ),
    inference(avatar_component_clause,[],[f67]) ).

fof(f72,plain,
    ( spl0_7
    | ~ spl0_9
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f71,f46,f67,f56]) ).

fof(f46,plain,
    ( spl0_6
  <=> ! [X4,X0] :
        ( a_truth(X4)
        | ~ a_truth(liar(X0))
        | ~ ask_1_if_2(X0,X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f71,plain,
    ( ~ a_truth(liar(c))
    | a_truth(equal_type(a,b))
    | ~ spl0_6 ),
    inference(resolution,[],[f47,f23]) ).

fof(f47,plain,
    ( ! [X0,X4] :
        ( ~ ask_1_if_2(X0,X4)
        | ~ a_truth(liar(X0))
        | a_truth(X4) )
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f46]) ).

fof(f70,plain,
    ( ~ spl0_7
    | ~ spl0_9
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f65,f42,f67,f56]) ).

fof(f42,plain,
    ( spl0_5
  <=> ! [X4,X0] :
        ( ~ a_truth(X4)
        | ~ a_truth(liar(X0))
        | ~ ask_1_if_2(X0,X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f65,plain,
    ( ~ a_truth(liar(c))
    | ~ a_truth(equal_type(a,b))
    | ~ spl0_5 ),
    inference(resolution,[],[f43,f23]) ).

fof(f43,plain,
    ( ! [X0,X4] :
        ( ~ ask_1_if_2(X0,X4)
        | ~ a_truth(liar(X0))
        | ~ a_truth(X4) )
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f42]) ).

fof(f63,plain,
    ( ~ spl0_7
    | ~ spl0_8
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f54,f26,f60,f56]) ).

fof(f26,plain,
    ( spl0_1
  <=> ! [X4,X0] :
        ( ~ a_truth(X4)
        | ~ a_truth(truthteller(X0))
        | ~ ask_1_if_2(X0,X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f54,plain,
    ( ~ a_truth(truthteller(c))
    | ~ a_truth(equal_type(a,b))
    | ~ spl0_1 ),
    inference(resolution,[],[f27,f23]) ).

fof(f27,plain,
    ( ! [X0,X4] :
        ( ~ ask_1_if_2(X0,X4)
        | ~ a_truth(truthteller(X0))
        | ~ a_truth(X4) )
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f26]) ).

fof(f52,plain,
    ~ spl0_4,
    inference(avatar_contradiction_clause,[],[f51]) ).

fof(f51,plain,
    ( $false
    | ~ spl0_4 ),
    inference(resolution,[],[f39,f24]) ).

fof(f24,axiom,
    ! [X6] : ~ answer(X6),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_there_is_an_answer) ).

fof(f39,plain,
    ( answer(no)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f37]) ).

fof(f37,plain,
    ( spl0_4
  <=> answer(no) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f50,plain,
    ~ spl0_2,
    inference(avatar_contradiction_clause,[],[f49]) ).

fof(f49,plain,
    ( $false
    | ~ spl0_2 ),
    inference(resolution,[],[f31,f24]) ).

fof(f31,plain,
    ( answer(yes)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f29]) ).

fof(f29,plain,
    ( spl0_2
  <=> answer(yes) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f48,plain,
    ( spl0_6
    | spl0_2 ),
    inference(avatar_split_clause,[],[f17,f29,f46]) ).

fof(f17,axiom,
    ! [X0,X4] :
      ( answer(yes)
      | a_truth(X4)
      | ~ a_truth(liar(X0))
      | ~ ask_1_if_2(X0,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',liar_supports_lies) ).

fof(f44,plain,
    ( spl0_5
    | spl0_4 ),
    inference(avatar_split_clause,[],[f16,f37,f42]) ).

fof(f16,axiom,
    ! [X0,X4] :
      ( answer(no)
      | ~ a_truth(X4)
      | ~ a_truth(liar(X0))
      | ~ ask_1_if_2(X0,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',liar_denies_truths) ).

fof(f40,plain,
    ( spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f15,f37,f34]) ).

fof(f15,axiom,
    ! [X0,X4] :
      ( answer(no)
      | a_truth(X4)
      | ~ a_truth(truthteller(X0))
      | ~ ask_1_if_2(X0,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',truthteller_denies_lies) ).

fof(f32,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f14,f29,f26]) ).

fof(f14,axiom,
    ! [X0,X4] :
      ( answer(yes)
      | ~ a_truth(X4)
      | ~ a_truth(truthteller(X0))
      | ~ ask_1_if_2(X0,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',truthteller_identifies_truths) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09  % Problem    : PUZ025-1 : TPTP v8.2.0. Released v1.0.0.
% 0.05/0.10  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.10/0.29  % Computer : n032.cluster.edu
% 0.10/0.29  % Model    : x86_64 x86_64
% 0.10/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29  % Memory   : 8042.1875MB
% 0.10/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29  % CPULimit   : 300
% 0.10/0.29  % WCLimit    : 300
% 0.10/0.29  % DateTime   : Sat May 18 10:45:07 EDT 2024
% 0.10/0.29  % CPUTime    : 
% 0.10/0.29  This is a CNF_UNS_RFO_NEQ_NHN problem
% 0.10/0.29  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.47/0.64  % (13521)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 theBenchmark for (2996ds/51Mi)
% 0.47/0.64  % (13524)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 theBenchmark for (2996ds/34Mi)
% 0.47/0.64  % (13525)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.47/0.64  % (13526)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 theBenchmark for (2996ds/83Mi)
% 0.47/0.64  % (13527)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.47/0.64  % (13522)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.47/0.64  % (13521)First to succeed.
% 0.47/0.64  % (13524)Also succeeded, but the first one will report.
% 0.47/0.64  % (13523)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.47/0.64  % (13521)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-13519"
% 0.47/0.64  % (13525)Refutation not found, incomplete strategy% (13525)------------------------------
% 0.47/0.64  % (13525)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.47/0.64  % (13525)Termination reason: Refutation not found, incomplete strategy
% 0.47/0.64  
% 0.47/0.64  % (13525)Memory used [KB]: 1004
% 0.47/0.64  % (13525)Time elapsed: 0.003 s
% 0.47/0.64  % (13525)Instructions burned: 3 (million)
% 0.47/0.64  % (13522)Also succeeded, but the first one will report.
% 0.47/0.64  % (13521)Refutation found. Thanks to Tanya!
% 0.47/0.64  % SZS status Unsatisfiable for theBenchmark
% 0.47/0.64  % SZS output start Proof for theBenchmark
% See solution above
% 0.47/0.64  % (13521)------------------------------
% 0.47/0.64  % (13521)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.47/0.64  % (13521)Termination reason: Refutation
% 0.47/0.64  
% 0.47/0.64  % (13521)Memory used [KB]: 1017
% 0.47/0.64  % (13521)Time elapsed: 0.003 s
% 0.47/0.64  % (13521)Instructions burned: 4 (million)
% 0.47/0.64  % (13519)Success in time 0.346 s
% 0.47/0.64  % Vampire---4.8 exiting
%------------------------------------------------------------------------------