TSTP Solution File: PUZ025-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : PUZ025-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n007.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 18:11:34 EDT 2022

% Result   : Unsatisfiable 0.19s 0.51s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   30 (   5 unt;   0 def)
%            Number of atoms       :   79 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   99 (  50   ~;  45   |;   0   &)
%                                         (   4 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   5 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-2 aty)
%            Number of variables   :   30 (  30   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f94,plain,
    $false,
    inference(avatar_sat_refutation,[],[f32,f40,f45,f91,f93]) ).

fof(f93,plain,
    ~ spl0_1,
    inference(avatar_contradiction_clause,[],[f92]) ).

fof(f92,plain,
    ( $false
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f28,f24]) ).

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

fof(f28,plain,
    ( answer(no)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f26]) ).

fof(f26,plain,
    ( spl0_1
  <=> answer(no) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f91,plain,
    ( ~ spl0_2
    | ~ spl0_4 ),
    inference(avatar_contradiction_clause,[],[f90]) ).

fof(f90,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(resolution,[],[f89,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(f89,plain,
    ( ! [X0,X1] : ~ ask_1_if_2(X0,X1)
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f88,f43]) ).

fof(f43,plain,
    ! [X0,X4] :
      ( ~ a_truth(truthteller(X0))
      | ~ ask_1_if_2(X0,X4) ),
    inference(subsumption_resolution,[],[f42,f41]) ).

fof(f41,plain,
    ! [X0,X4] :
      ( ~ a_truth(truthteller(X0))
      | ~ ask_1_if_2(X0,X4)
      | ~ a_truth(X4) ),
    inference(subsumption_resolution,[],[f14,f24]) ).

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

fof(f42,plain,
    ! [X0,X4] :
      ( a_truth(X4)
      | ~ ask_1_if_2(X0,X4)
      | ~ a_truth(truthteller(X0)) ),
    inference(subsumption_resolution,[],[f15,f24]) ).

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(f88,plain,
    ( ! [X0,X1] :
        ( ~ ask_1_if_2(X0,X1)
        | a_truth(truthteller(X0)) )
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(resolution,[],[f46,f1]) ).

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

fof(f46,plain,
    ( ! [X0,X4] :
        ( ~ a_truth(liar(X0))
        | ~ ask_1_if_2(X0,X4) )
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f39,f31]) ).

fof(f31,plain,
    ( ! [X0,X4] :
        ( ~ a_truth(liar(X0))
        | ~ a_truth(X4)
        | ~ ask_1_if_2(X0,X4) )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f30]) ).

fof(f30,plain,
    ( spl0_2
  <=> ! [X4,X0] :
        ( ~ a_truth(liar(X0))
        | ~ ask_1_if_2(X0,X4)
        | ~ a_truth(X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f39,plain,
    ( ! [X0,X4] :
        ( ~ ask_1_if_2(X0,X4)
        | ~ a_truth(liar(X0))
        | a_truth(X4) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f38]) ).

fof(f38,plain,
    ( spl0_4
  <=> ! [X4,X0] :
        ( ~ ask_1_if_2(X0,X4)
        | ~ a_truth(liar(X0))
        | a_truth(X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f45,plain,
    ~ spl0_3,
    inference(avatar_contradiction_clause,[],[f44]) ).

fof(f44,plain,
    ( $false
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f36,f24]) ).

fof(f36,plain,
    ( answer(yes)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f34]) ).

fof(f34,plain,
    ( spl0_3
  <=> answer(yes) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f40,plain,
    ( spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f17,f38,f34]) ).

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

fof(f32,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f16,f30,f26]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : PUZ025-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n007.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 10:23:31 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.50  % (28900)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.50  % (28923)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.50  % (28915)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.50  % (28923)First to succeed.
% 0.19/0.51  % (28915)Also succeeded, but the first one will report.
% 0.19/0.51  % (28923)Refutation found. Thanks to Tanya!
% 0.19/0.51  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51  % (28923)------------------------------
% 0.19/0.51  % (28923)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (28923)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (28923)Termination reason: Refutation
% 0.19/0.51  
% 0.19/0.51  % (28923)Memory used [KB]: 5500
% 0.19/0.51  % (28923)Time elapsed: 0.054 s
% 0.19/0.51  % (28923)Instructions burned: 2 (million)
% 0.19/0.51  % (28923)------------------------------
% 0.19/0.51  % (28923)------------------------------
% 0.19/0.51  % (28897)Success in time 0.156 s
%------------------------------------------------------------------------------