TSTP Solution File: PUZ001-2 by PyRes---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : PUZ001-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n025.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 : Thu May  9 17:37:32 EDT 2024

% Result   : Unsatisfiable 1.96s 2.12s
% Output   : Refutation 1.96s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   16
% Syntax   : Number of clauses     :   37 (  16 unt;   8 nHn;  33 RR)
%            Number of literals    :   71 (  32 equ;  30 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-1 aty)
%            Number of variables   :   33 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(agatha_is_not_the_butler,axiom,
    aunt_agatha != butler,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',agatha_is_not_the_butler) ).

cnf(agatha_likes_only_butler,axiom,
    ( X13 = butler
    | hates(aunt_agatha,X13) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',agatha_likes_only_butler) ).

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) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',charles_and_agatha_hate_different_people) ).

cnf(reflexivity,axiom,
    X2 = X2,
    theory(equality) ).

cnf(someone_killed_agatha,axiom,
    killed(someone,aunt_agatha),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',someone_killed_agatha) ).

cnf(killer_hates_victim,axiom,
    ( ~ killed(X5,X4)
    | hates(X5,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',killer_hates_victim) ).

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

cnf(c3,axiom,
    ( X36 != X37
    | X39 != X38
    | ~ hates(X36,X39)
    | hates(X37,X38) ),
    theory(equality) ).

cnf(c63,plain,
    ( someone != X86
    | aunt_agatha != X85
    | hates(X86,X85) ),
    inference(resolution,[status(thm)],[c3,c5]) ).

cnf(c371,plain,
    ( someone != X87
    | hates(X87,aunt_agatha) ),
    inference(resolution,[status(thm)],[c63,reflexivity]) ).

cnf(prove_agatha_killed_herself,negated_conjecture,
    ~ killed(aunt_agatha,aunt_agatha),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_agatha_killed_herself) ).

cnf(c2,axiom,
    ( X31 != X32
    | X34 != X33
    | ~ killed(X31,X34)
    | killed(X32,X33) ),
    theory(equality) ).

cnf(c55,plain,
    ( someone != X75
    | aunt_agatha != X76
    | killed(X75,X76) ),
    inference(resolution,[status(thm)],[c2,someone_killed_agatha]) ).

cnf(c280,plain,
    ( someone != X77
    | killed(X77,aunt_agatha) ),
    inference(resolution,[status(thm)],[c55,reflexivity]) ).

cnf(killer_poorer_than_victim,axiom,
    ( ~ killed(X8,X7)
    | ~ richer(X8,X7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',killer_poorer_than_victim) ).

cnf(noone_hates_everyone,axiom,
    ~ hates(X3,every_one_but(X3)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',noone_hates_everyone) ).

cnf(butler_and_agatha_hate_the_same_people,axiom,
    ( ~ hates(aunt_agatha,X15)
    | hates(butler,X15) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',butler_and_agatha_hate_the_same_people) ).

cnf(c19,plain,
    ( hates(butler,X30)
    | X30 = butler ),
    inference(resolution,[status(thm)],[butler_and_agatha_hate_the_same_people,agatha_likes_only_butler]) ).

cnf(c41,plain,
    every_one_but(butler) = butler,
    inference(resolution,[status(thm)],[c19,noone_hates_everyone]) ).

cnf(butler_hates_poor_people,axiom,
    ( richer(X14,aunt_agatha)
    | hates(butler,X14) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',butler_hates_poor_people) ).

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

cnf(c4,axiom,
    ( X42 != X43
    | X45 != X44
    | ~ richer(X42,X45)
    | richer(X43,X44) ),
    theory(equality) ).

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

cnf(c720,plain,
    ( aunt_agatha != X128
    | richer(butler,X128) ),
    inference(resolution,[status(thm)],[c73,c41]) ).

cnf(c724,plain,
    richer(butler,aunt_agatha),
    inference(resolution,[status(thm)],[c720,reflexivity]) ).

cnf(c728,plain,
    ~ killed(butler,aunt_agatha),
    inference(resolution,[status(thm)],[c724,killer_poorer_than_victim]) ).

cnf(someone_in_mansion,axiom,
    lives_at_dreadsbury(someone),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',someone_in_mansion) ).

cnf(noone_else_lives_at_mansion,axiom,
    ( ~ lives_at_dreadsbury(X6)
    | X6 = aunt_agatha
    | X6 = butler
    | X6 = charles ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',noone_else_lives_at_mansion) ).

cnf(c9,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)],[c280,c9]) ).

cnf(c4795,plain,
    ( someone = aunt_agatha
    | someone = charles ),
    inference(resolution,[status(thm)],[c288,c728]) ).

cnf(c4854,plain,
    ( someone = charles
    | killed(aunt_agatha,aunt_agatha) ),
    inference(resolution,[status(thm)],[c4795,c280]) ).

cnf(c4995,plain,
    someone = charles,
    inference(resolution,[status(thm)],[c4854,prove_agatha_killed_herself]) ).

cnf(c5003,plain,
    hates(charles,aunt_agatha),
    inference(resolution,[status(thm)],[c4995,c371]) ).

cnf(c5049,plain,
    ~ hates(aunt_agatha,aunt_agatha),
    inference(resolution,[status(thm)],[c5003,charles_and_agatha_hate_different_people]) ).

cnf(c5111,plain,
    $false,
    inference(resolution,[status(thm)],[c5049,c12]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : PUZ001-2 : TPTP v8.1.2. Released v1.0.0.
% 0.10/0.12  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33  % Computer : n025.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 : Wed May  8 20:47:53 EDT 2024
% 0.12/0.33  % CPUTime  : 
% 1.96/2.12  % Version:  1.5
% 1.96/2.12  % SZS status Unsatisfiable
% 1.96/2.12  % SZS output start CNFRefutation
% See solution above
% 1.96/2.12  
% 1.96/2.12  % Initial clauses    : 23
% 1.96/2.12  % Processed clauses  : 305
% 1.96/2.12  % Factors computed   : 26
% 1.96/2.12  % Resolvents computed: 5100
% 1.96/2.12  % Tautologies deleted: 4
% 1.96/2.12  % Forward subsumed   : 568
% 1.96/2.12  % Backward subsumed  : 23
% 1.96/2.12  % -------- CPU Time ---------
% 1.96/2.12  % User time          : 1.767 s
% 1.96/2.12  % System time        : 0.019 s
% 1.96/2.12  % Total time         : 1.786 s
%------------------------------------------------------------------------------