TSTP Solution File: PUZ020-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : PUZ020-1 : 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 : n027.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 18:11:33 EDT 2022

% Result   : Unsatisfiable 0.18s 0.50s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   18 (   4 unt;   0 def)
%            Number of atoms       :   36 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   32 (  14   ~;  15   |;   0   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   4 prp; 0-1 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-1 aty)
%            Number of variables   :    1 (   1   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f56,plain,
    $false,
    inference(avatar_sat_refutation,[],[f36,f37,f38,f55]) ).

fof(f55,plain,
    ( ~ spl0_1
    | spl0_2 ),
    inference(avatar_contradiction_clause,[],[f54]) ).

fof(f54,plain,
    ( $false
    | ~ spl0_1
    | spl0_2 ),
    inference(subsumption_resolution,[],[f53,f11]) ).

fof(f11,axiom,
    person(husband),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',husband) ).

fof(f53,plain,
    ( ~ person(husband)
    | ~ spl0_1
    | spl0_2 ),
    inference(subsumption_resolution,[],[f52,f29]) ).

fof(f29,plain,
    ( ~ knight(husband)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f27]) ).

fof(f27,plain,
    ( spl0_2
  <=> knight(husband) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f52,plain,
    ( knight(husband)
    | ~ person(husband)
    | ~ spl0_1 ),
    inference(resolution,[],[f7,f24]) ).

fof(f24,plain,
    ( a_truth(statement_by(husband))
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f23]) ).

fof(f23,plain,
    ( spl0_1
  <=> a_truth(statement_by(husband)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f7,axiom,
    ! [X0] :
      ( ~ a_truth(statement_by(X0))
      | ~ person(X0)
      | knight(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knights_make_true_statements) ).

fof(f38,plain,
    ( spl0_1
    | spl0_3 ),
    inference(avatar_split_clause,[],[f17,f31,f23]) ).

fof(f31,plain,
    ( spl0_3
  <=> knight(wife) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f17,axiom,
    ( knight(wife)
    | a_truth(statement_by(husband)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knight_wife_or_truthful_husband) ).

fof(f37,plain,
    ( spl0_1
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f18,f31,f23]) ).

fof(f18,axiom,
    ( ~ knight(wife)
    | a_truth(statement_by(husband)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',knight_wife_means_truthful_husband) ).

fof(f36,plain,
    ~ spl0_2,
    inference(avatar_split_clause,[],[f19,f27]) ).

fof(f19,axiom,
    ~ knight(husband),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_knight_husband) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11  % Problem    : PUZ020-1 : TPTP v8.1.0. Released v1.0.0.
% 0.09/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33  % Computer : n027.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Aug 30 10:53:16 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.18/0.48  % (7665)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.49  % (7681)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.18/0.49  % (7656)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)
% 0.18/0.50  % (7667)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.18/0.50  % (7658)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.50  % (7667)First to succeed.
% 0.18/0.50  % (7668)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.50  % (7656)Also succeeded, but the first one will report.
% 0.18/0.50  % (7672)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.18/0.50  % (7667)Refutation found. Thanks to Tanya!
% 0.18/0.50  % SZS status Unsatisfiable for theBenchmark
% 0.18/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.50  % (7667)------------------------------
% 0.18/0.50  % (7667)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50  % (7667)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50  % (7667)Termination reason: Refutation
% 0.18/0.50  
% 0.18/0.50  % (7667)Memory used [KB]: 5373
% 0.18/0.50  % (7667)Time elapsed: 0.109 s
% 0.18/0.50  % (7667)Instructions burned: 2 (million)
% 0.18/0.50  % (7667)------------------------------
% 0.18/0.50  % (7667)------------------------------
% 0.18/0.50  % (7654)Success in time 0.16 s
%------------------------------------------------------------------------------