TSTP Solution File: PUZ006-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : PUZ006-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n018.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 18:26:21 EDT 2022

% Result   : Unsatisfiable 0.19s 0.50s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   14
% Syntax   : Number of clauses     :   31 (  21 unt;   2 nHn;  29 RR)
%            Number of literals    :   43 (   5 equ;  16 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-1 aty)
%            Number of variables   :    7 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(from_mars_or_venus,axiom,
    ( from_mars(X)
    | from_venus(X) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/PUZ001-0.ax',from_mars_or_venus) ).

cnf(male_or_female,axiom,
    ( male(X)
    | female(X) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/PUZ001-0.ax',male_or_female) ).

cnf(people_say_their_statements,axiom,
    ( ~ says(X,Y)
    | Y = statement_by(X) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/PUZ001-0.ax',people_say_their_statements) ).

cnf(venusian_males_are_liars,axiom,
    ( ~ from_venus(X)
    | ~ male(X)
    | liar(X) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/PUZ001-0.ax',venusian_males_are_liars) ).

cnf(liars_make_false_statements,axiom,
    ( ~ liar(X)
    | ~ says(X,Y)
    | ~ a_truth(Y) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/PUZ001-0.ax',liars_make_false_statements) ).

cnf(ork_says_bog_is_from_venus,hypothesis,
    says(ork,bog_is_from_venus),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ork_says_bog_is_from_venus) ).

cnf(bog_says_ork_is_from_mar,hypothesis,
    says(bog,ork_is_from_mars),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bog_says_ork_is_from_mar) ).

cnf(ork_says_bog_is_male,hypothesis,
    says(ork,bog_is_male),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ork_says_bog_is_male) ).

cnf(bog_says_ork_is_female,hypothesis,
    says(bog,ork_is_female),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bog_says_ork_is_female) ).

cnf(bog_is_from_venus1,hypothesis,
    ( ~ a_truth(bog_is_from_venus)
    | from_venus(bog) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bog_is_from_venus1) ).

cnf(ork_is_from_mars2,hypothesis,
    ( ~ from_mars(ork)
    | a_truth(ork_is_from_mars) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ork_is_from_mars2) ).

cnf(bog_is_male2,hypothesis,
    ( ~ male(bog)
    | a_truth(bog_is_male) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bog_is_male2) ).

cnf(ork_is_female2,hypothesis,
    ( ~ female(ork)
    | a_truth(ork_is_female) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ork_is_female2) ).

cnf(prove_bog_is_female,negated_conjecture,
    ~ female(bog),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_bog_is_female) ).

cnf(29,plain,
    male(bog),
    inference('UR-RESOLVE',[status(thm)],[male_or_female,prove_bog_is_female]) ).

cnf(30,plain,
    a_truth(bog_is_male),
    inference('REWRITE',[status(thm)],[bog_is_male2,29]) ).

cnf(33,plain,
    ork_is_female = statement_by(bog),
    inference('HYPERRESOLVE',[status(thm)],[people_say_their_statements,bog_says_ork_is_female]) ).

cnf(34,plain,
    bog_is_male = statement_by(ork),
    inference('HYPERRESOLVE',[status(thm)],[people_say_their_statements,ork_says_bog_is_male]) ).

cnf(35,plain,
    ork_is_from_mars = ork_is_female,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[people_say_their_statements,bog_says_ork_is_from_mar]),33,theory(equality)]) ).

cnf(37,plain,
    ( ~ from_mars(ork)
    | a_truth(ork_is_female) ),
    inference('REWRITE',[status(thm)],[ork_is_from_mars2,35,theory(equality)]) ).

cnf(38,plain,
    bog_is_from_venus = bog_is_male,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[people_say_their_statements,ork_says_bog_is_from_venus]),34,theory(equality)]) ).

cnf(39,plain,
    a_truth(bog_is_from_venus),
    inference('REWRITE',[status(thm)],[30,38,theory(equality)]) ).

cnf(40,plain,
    from_venus(bog),
    inference('REWRITE',[status(thm)],[bog_is_from_venus1,39]) ).

cnf(43,plain,
    liar(bog),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[venusian_males_are_liars,40,male_or_female]),prove_bog_is_female]) ).

cnf(44,plain,
    ~ liar(ork),
    inference('UR-RESOLVE',[status(thm)],[liars_make_false_statements,ork_says_bog_is_from_venus,39]) ).

cnf(45,plain,
    ~ a_truth(ork_is_female),
    inference('UR-RESOLVE',[status(thm)],[liars_make_false_statements,43,bog_says_ork_is_female]) ).

cnf(46,plain,
    ~ female(ork),
    inference('REWRITE',[status(thm)],[ork_is_female2,45]) ).

cnf(47,plain,
    ~ from_mars(ork),
    inference('REWRITE',[status(thm)],[37,45]) ).

cnf(50,plain,
    male(ork),
    inference('UR-RESOLVE',[status(thm)],[male_or_female,46]) ).

cnf(51,plain,
    from_venus(ork),
    inference('UR-RESOLVE',[status(thm)],[from_mars_or_venus,47]) ).

cnf(53,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[venusian_males_are_liars,50,44]),51]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : PUZ006-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n018.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  : 600
% 0.12/0.33  % DateTime : Sat May 28 23:50:55 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.44  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45  * 
% 0.19/0.45  * 
% 0.19/0.46  #<PACKAGE "SNARK-USER">
% 0.19/0.46  * 
% 0.19/0.46  SNARK-TPTP-OPTIONS
% 0.19/0.46  * 
% 0.19/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46   (USE-FACTORING :POS)
% 0.19/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46  * 
% 0.19/0.46  "."
% 0.19/0.46  * 
% 0.19/0.46  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-28T23:50:55
% 0.19/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n018.cluster.edu at 2022-05-28T23:50:55
% 0.19/0.50  
% 0.19/0.50  
% 0.19/0.50  #||
% 0.19/0.50  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.50  % SZS output start Refutation
% See solution above
% 0.19/0.50  ||#
% 0.19/0.50  
% 0.19/0.50  ; Summary of computation:
% 0.19/0.50  ;        73 formulas have been input or derived (from 39 formulas).
% 0.19/0.50  ;        53 (73%) were retained.  Of these,
% 0.19/0.50  ;           15 (28%) were simplified or subsumed later,
% 0.19/0.50  ;           38 (72%) are still being kept.
% 0.19/0.50  ; 
% 0.19/0.50  ; Run time in seconds excluding printing time:
% 0.19/0.50  ;     0.004  12%   Read assertion file          (1 call)
% 0.19/0.50  ;     0.000   0%   Assert                       (29 calls)
% 0.19/0.50  ;     0.003   9%   Process new row              (69 calls)
% 0.19/0.50  ;     0.001   3%   Resolution                   (76 calls)
% 0.19/0.50  ;     0.000   0%   Paramodulation               (38 calls)
% 0.19/0.50  ;     0.000   0%   Factoring                    (4 calls)
% 0.19/0.50  ;     0.000   0%   Condensing                   (28 calls)
% 0.19/0.50  ;     0.000   0%   Forward subsumption          (28 calls)
% 0.19/0.50  ;     0.000   0%   Backward subsumption         (27 calls)
% 0.19/0.50  ;     0.000   0%   Clause clause subsumption    (1 call)
% 0.19/0.50  ;     0.000   0%   Forward simplification       (67 calls)
% 0.19/0.50  ;     0.002   6%   Backward simplification      (53 calls)
% 0.19/0.50  ;     0.000   0%   Ordering                     (16 calls)
% 0.19/0.50  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.19/0.50  ;     0.001   3%   Purity testing               (1 call)
% 0.19/0.50  ;     0.023  68%   Other
% 0.19/0.50  ;     0.034        Total
% 0.19/0.50  ;     0.037        Real time
% 0.19/0.50  ; 
% 0.19/0.50  ; Term-hash-array has 39 terms in all.
% 0.19/0.50  ; Feature-vector-row-index has 16 entries (23 at peak, 27 added, 11 deleted).
% 0.19/0.50  ; Feature-vector-row-index has 37 nodes (64 at peak, 76 added, 39 deleted).
% 0.19/0.50  ;  Retrieved 1 possibly forward subsuming row in 28 calls.
% 0.19/0.50  ;  Retrieved 0 possibly backward subsumed rows in 27 calls.
% 0.19/0.50  ; Path-index has 40 entries (40 at peak, 52 added, 12 deleted).
% 0.19/0.50  ; Path-index has 60 nodes (60 at peak, 72 added, 12 deleted).
% 0.19/0.50  ; Trie-index has 40 entries (40 at peak, 52 added, 12 deleted).
% 0.19/0.50  ; Trie-index has 62 nodes (62 at peak, 76 added, 14 deleted).
% 0.19/0.50  ; Retrieved 20 generalization terms in 43 calls.
% 0.19/0.50  ; Retrieved 25 instance terms in 25 calls.
% 0.19/0.50  ; Retrieved 265 unifiable terms in 200 calls.
% 0.19/0.50  ; 
% 0.19/0.50  ; The agenda of rows to process has 2 entries:
% 0.19/0.50  ;     1 with value 5               1 with value 8
% 0.19/0.50  ; The agenda of rows to give has 10 entries:
% 0.19/0.50  ;     1 with value (4 4)           1 with value (4 6)            1 with value (4 10)
% 0.19/0.50  ;     5 with value (4 5)           2 with value (4 7)
% 0.19/0.50  Evaluation took:
% 0.19/0.50    0.037 seconds of real time
% 0.19/0.50    0.03005 seconds of user run time
% 0.19/0.50    0.007001 seconds of system run time
% 0.19/0.50    0 calls to %EVAL
% 0.19/0.50    0 page faults and
% 0.19/0.50    3,119,208 bytes consed.
% 0.19/0.50  :PROOF-FOUND
% 0.19/0.50  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-28T23:50:55
% 0.19/0.50  :PROOF-FOUND
% 0.19/0.50  * 
%------------------------------------------------------------------------------