TSTP Solution File: PUZ001-2 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : PUZ001-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n029.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  : 600s
% DateTime : Mon Jul 18 18:24:07 EDT 2022

% Result   : Unsatisfiable 2.05s 2.25s
% Output   : Refutation 2.05s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named eq_axiom)

% Comments : 
%------------------------------------------------------------------------------
cnf(agatha_is_not_the_butler,axiom,
    aunt_agatha != butler,
    input ).

cnf(agatha_likes_only_butler,axiom,
    ( X13 = butler
    | hates(aunt_agatha,X13) ),
    input ).

cnf(c12,plain,
    hates(aunt_agatha,aunt_agatha),
    inference(resolution,status(thm),[agatha_likes_only_butler,agatha_is_not_the_butler]) ).

cnf(charles_and_agatha_hate_different_people,axiom,
    ( ~ hates(aunt_agatha,X12)
    | ~ hates(charles,X12) ),
    input ).

cnf(reflexivity,axiom,
    X2 = X2,
    eq_axiom ).

cnf(someone_killed_agatha,axiom,
    killed(someone,aunt_agatha),
    input ).

cnf(killer_hates_victim,axiom,
    ( ~ killed(X5,X4)
    | hates(X5,X4) ),
    input ).

cnf(c5,plain,
    hates(someone,aunt_agatha),
    inference(resolution,status(thm),[killer_hates_victim,someone_killed_agatha]) ).

cnf(c3,plain,
    ( X38 != X35
    | X36 != X37
    | ~ hates(X38,X36)
    | hates(X35,X37) ),
    eq_axiom ).

cnf(c66,plain,
    ( someone != X103
    | aunt_agatha != X102
    | hates(X103,X102) ),
    inference(resolution,status(thm),[c3,c5]) ).

cnf(c512,plain,
    ( someone != X105
    | hates(X105,aunt_agatha) ),
    inference(resolution,status(thm),[c66,reflexivity]) ).

cnf(prove_agatha_killed_herself,negated_conjecture,
    ~ killed(aunt_agatha,aunt_agatha),
    input ).

cnf(c2,plain,
    ( X33 != X30
    | X31 != X32
    | ~ killed(X33,X31)
    | killed(X30,X32) ),
    eq_axiom ).

cnf(c54,plain,
    ( someone != X75
    | aunt_agatha != X74
    | killed(X75,X74) ),
    inference(resolution,status(thm),[c2,someone_killed_agatha]) ).

cnf(c277,plain,
    ( someone != X76
    | killed(X76,aunt_agatha) ),
    inference(resolution,status(thm),[c54,reflexivity]) ).

cnf(killer_poorer_than_victim,axiom,
    ( ~ killed(X8,X7)
    | ~ richer(X8,X7) ),
    input ).

cnf(noone_hates_everyone,axiom,
    ~ hates(X3,every_one_but(X3)),
    input ).

cnf(butler_and_agatha_hate_the_same_people,axiom,
    ( ~ hates(aunt_agatha,X15)
    | hates(butler,X15) ),
    input ).

cnf(c20,plain,
    ( hates(butler,X26)
    | X26 = butler ),
    inference(resolution,status(thm),[butler_and_agatha_hate_the_same_people,agatha_likes_only_butler]) ).

cnf(c35,plain,
    every_one_but(butler) = butler,
    inference(resolution,status(thm),[c20,noone_hates_everyone]) ).

cnf(butler_hates_poor_people,axiom,
    ( richer(X14,aunt_agatha)
    | hates(butler,X14) ),
    input ).

cnf(c15,plain,
    richer(every_one_but(butler),aunt_agatha),
    inference(resolution,status(thm),[butler_hates_poor_people,noone_hates_everyone]) ).

cnf(c4,plain,
    ( X44 != X41
    | X42 != X43
    | ~ richer(X44,X42)
    | richer(X41,X43) ),
    eq_axiom ).

cnf(c73,plain,
    ( every_one_but(butler) != X126
    | aunt_agatha != X127
    | richer(X126,X127) ),
    inference(resolution,status(thm),[c4,c15]) ).

cnf(c743,plain,
    ( aunt_agatha != X128
    | richer(butler,X128) ),
    inference(resolution,status(thm),[c73,c35]) ).

cnf(c752,plain,
    richer(butler,aunt_agatha),
    inference(resolution,status(thm),[c743,reflexivity]) ).

cnf(c759,plain,
    ~ killed(butler,aunt_agatha),
    inference(resolution,status(thm),[c752,killer_poorer_than_victim]) ).

cnf(someone_in_mansion,axiom,
    lives_at_dreadsbury(someone),
    input ).

cnf(noone_else_lives_at_mansion,axiom,
    ( ~ lives_at_dreadsbury(X6)
    | X6 = aunt_agatha
    | X6 = butler
    | X6 = charles ),
    input ).

cnf(c6,plain,
    ( someone = aunt_agatha
    | someone = butler
    | someone = charles ),
    inference(resolution,status(thm),[noone_else_lives_at_mansion,someone_in_mansion]) ).

cnf(c288,plain,
    ( killed(butler,aunt_agatha)
    | someone = aunt_agatha
    | someone = charles ),
    inference(resolution,status(thm),[c277,c6]) ).

cnf(c4531,plain,
    ( someone = aunt_agatha
    | someone = charles ),
    inference(resolution,status(thm),[c288,c759]) ).

cnf(c4583,plain,
    ( someone = charles
    | killed(aunt_agatha,aunt_agatha) ),
    inference(resolution,status(thm),[c4531,c277]) ).

cnf(c4658,plain,
    someone = charles,
    inference(resolution,status(thm),[c4583,prove_agatha_killed_herself]) ).

cnf(c4675,plain,
    hates(charles,aunt_agatha),
    inference(resolution,status(thm),[c4658,c512]) ).

cnf(c4696,plain,
    ~ hates(aunt_agatha,aunt_agatha),
    inference(resolution,status(thm),[c4675,charles_and_agatha_hate_different_people]) ).

cnf(c4786,plain,
    $false,
    inference(resolution,status(thm),[c4696,c12]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : PUZ001-2 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34  % Computer : n029.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  : 600
% 0.13/0.34  % DateTime : Sun May 29 03:05:28 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 2.05/2.25  # Version:  1.3
% 2.05/2.25  # SZS status Unsatisfiable
% 2.05/2.25  # SZS output start CNFRefutation
% See solution above
% 2.05/2.25  
% 2.05/2.25  # Initial clauses    : 23
% 2.05/2.25  # Processed clauses  : 296
% 2.05/2.25  # Factors computed   : 9
% 2.05/2.25  # Resolvents computed: 4778
% 2.05/2.25  # Tautologies deleted: 3
% 2.05/2.25  # Forward subsumed   : 554
% 2.05/2.25  # Backward subsumed  : 23
% 2.05/2.25  # -------- CPU Time ---------
% 2.05/2.25  # User time          : 1.876 s
% 2.05/2.25  # System time        : 0.017 s
% 2.05/2.25  # Total time         : 1.893 s
%------------------------------------------------------------------------------