TSTP Solution File: PUZ005-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : PUZ005-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% 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 18:26:21 EDT 2022

% Result   : Unsatisfiable 0.20s 0.55s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   21
% Syntax   : Number of clauses     :   49 (  11 unt;  23 nHn;  49 RR)
%            Number of literals    :  114 (   0 equ;  29 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   10 (   9 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-1 aty)
%            Number of variables   :   22 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(monday_not_friday,axiom,
    ( ~ monday(X)
    | ~ friday(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',monday_not_friday) ).

cnf(monday_not_saturday,axiom,
    ( ~ monday(X)
    | ~ saturday(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',monday_not_saturday) ).

cnf(monday_not_sunday,axiom,
    ( ~ monday(X)
    | ~ sunday(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',monday_not_sunday) ).

cnf(monday_yesterday,axiom,
    ( ~ monday(yesterday(X))
    | tuesday(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',monday_yesterday) ).

cnf(tuesday_yesterday,axiom,
    ( ~ tuesday(yesterday(X))
    | wednesday(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tuesday_yesterday) ).

cnf(wednesday_yesterday,axiom,
    ( ~ wednesday(yesterday(X))
    | thursday(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',wednesday_yesterday) ).

cnf(thursday_yesterday,axiom,
    ( ~ thursday(yesterday(X))
    | friday(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thursday_yesterday) ).

cnf(friday_yesterday,axiom,
    ( ~ friday(yesterday(X))
    | saturday(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',friday_yesterday) ).

cnf(saturday_yesterday,axiom,
    ( ~ saturday(yesterday(X))
    | sunday(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',saturday_yesterday) ).

cnf(yesterday_monday,axiom,
    ( monday(yesterday(X))
    | ~ tuesday(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',yesterday_monday) ).

cnf(yesterday_tuesday,axiom,
    ( tuesday(yesterday(X))
    | ~ wednesday(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',yesterday_tuesday) ).

cnf(lions_lying_days,axiom,
    ( ~ member(X,lying_days(lion))
    | monday(X)
    | tuesday(X)
    | wednesday(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',lions_lying_days) ).

cnf(unicorns_lying_days,axiom,
    ( ~ member(X,lying_days(unicorn))
    | thursday(X)
    | friday(X)
    | saturday(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unicorns_lying_days) ).

cnf(lion_lies_on_monday,axiom,
    ( ~ monday(X)
    | member(X,lying_days(lion)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',lion_lies_on_monday) ).

cnf(lion_lies_on_tuesday,axiom,
    ( ~ tuesday(X)
    | member(X,lying_days(lion)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',lion_lies_on_tuesday) ).

cnf(lion_lies_on_wednesday,axiom,
    ( ~ wednesday(X)
    | member(X,lying_days(lion)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',lion_lies_on_wednesday) ).

cnf(admissions1,axiom,
    ( member(X,lying_days(Y))
    | ~ admits(Y,X,Z)
    | member(Z,lying_days(Y)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',admissions1) ).

cnf(admissions3,axiom,
    ( ~ member(X,lying_days(Y))
    | ~ admits(Y,X,Z)
    | ~ member(Z,lying_days(Y)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',admissions3) ).

cnf(admissions5,axiom,
    admits(lion,today,yesterday(today)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',admissions5) ).

cnf(admissions6,axiom,
    admits(unicorn,today,yesterday(today)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',admissions6) ).

cnf(prove_today_is_thursday,negated_conjecture,
    ~ thursday(today),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_today_is_thursday) ).

cnf(52,plain,
    ~ wednesday(yesterday(today)),
    inference('UR-RESOLVE',[status(thm)],[wednesday_yesterday,prove_today_is_thursday]) ).

cnf(53,plain,
    ( member(today,lying_days(lion))
    | member(yesterday(today),lying_days(lion)) ),
    inference('HYPERRESOLVE',[status(thm)],[admissions1,admissions5]) ).

cnf(54,plain,
    ( member(today,lying_days(unicorn))
    | member(yesterday(today),lying_days(unicorn)) ),
    inference('HYPERRESOLVE',[status(thm)],[admissions1,admissions6]) ).

cnf(64,plain,
    ( member(today,lying_days(lion))
    | monday(yesterday(today))
    | tuesday(yesterday(today)) ),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[lions_lying_days,53]),52]) ).

cnf(67,plain,
    ( member(today,lying_days(unicorn))
    | thursday(yesterday(today))
    | friday(yesterday(today))
    | saturday(yesterday(today)) ),
    inference('HYPERRESOLVE',[status(thm)],[unicorns_lying_days,54]) ).

cnf(69,plain,
    ( monday(yesterday(today))
    | tuesday(yesterday(today))
    | monday(today)
    | tuesday(today)
    | wednesday(today) ),
    inference('HYPERRESOLVE',[status(thm)],[lions_lying_days,64]) ).

cnf(76,plain,
    ( monday(yesterday(today))
    | tuesday(yesterday(today))
    | monday(today)
    | tuesday(today) ),
    inference('HYPERRESOLVE',[status(thm)],[yesterday_tuesday,69]) ).

cnf(79,plain,
    ( monday(yesterday(today))
    | monday(today)
    | tuesday(today)
    | monday(yesterday(yesterday(today))) ),
    inference('HYPERRESOLVE',[status(thm)],[yesterday_monday,76]) ).

cnf(81,plain,
    ( thursday(yesterday(today))
    | friday(yesterday(today))
    | saturday(yesterday(today))
    | friday(today)
    | saturday(today) ),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[unicorns_lying_days,67]),prove_today_is_thursday]) ).

cnf(86,plain,
    ( monday(yesterday(today))
    | monday(today)
    | monday(yesterday(yesterday(today))) ),
    inference('HYPERRESOLVE',[status(thm)],[yesterday_monday,79]) ).

cnf(87,plain,
    ( monday(yesterday(today))
    | monday(today)
    | tuesday(yesterday(today)) ),
    inference('HYPERRESOLVE',[status(thm)],[monday_yesterday,86]) ).

cnf(90,plain,
    ( monday(yesterday(today))
    | monday(today)
    | wednesday(today) ),
    inference('HYPERRESOLVE',[status(thm)],[tuesday_yesterday,87]) ).

cnf(91,plain,
    ( monday(yesterday(today))
    | monday(today)
    | member(yesterday(today),lying_days(lion)) ),
    inference('HYPERRESOLVE',[status(thm)],[lion_lies_on_tuesday,87]) ).

cnf(92,plain,
    ( monday(yesterday(today))
    | monday(today)
    | member(today,lying_days(lion)) ),
    inference('HYPERRESOLVE',[status(thm)],[lion_lies_on_wednesday,90]) ).

cnf(95,plain,
    ( monday(yesterday(today))
    | monday(today) ),
    inference('HYPERRESOLVE',[status(thm)],[admissions3,92,admissions5,91]) ).

cnf(96,plain,
    ( monday(today)
    | tuesday(today) ),
    inference('HYPERRESOLVE',[status(thm)],[monday_yesterday,95]) ).

cnf(97,plain,
    ( monday(today)
    | member(yesterday(today),lying_days(lion)) ),
    inference('HYPERRESOLVE',[status(thm)],[lion_lies_on_monday,95]) ).

cnf(99,plain,
    ( monday(today)
    | member(today,lying_days(lion)) ),
    inference('HYPERRESOLVE',[status(thm)],[lion_lies_on_tuesday,96]) ).

cnf(103,plain,
    monday(today),
    inference('HYPERRESOLVE',[status(thm)],[admissions3,99,admissions5,97]) ).

cnf(104,plain,
    ~ sunday(today),
    inference('UR-RESOLVE',[status(thm)],[monday_not_sunday,103]) ).

cnf(105,plain,
    ~ saturday(today),
    inference('UR-RESOLVE',[status(thm)],[monday_not_saturday,103]) ).

cnf(106,plain,
    ( thursday(yesterday(today))
    | friday(yesterday(today))
    | saturday(yesterday(today))
    | friday(today) ),
    inference('REWRITE',[status(thm)],[81,105]) ).

cnf(107,plain,
    ~ friday(today),
    inference('UR-RESOLVE',[status(thm)],[monday_not_friday,103]) ).

cnf(108,plain,
    ( thursday(yesterday(today))
    | friday(yesterday(today))
    | saturday(yesterday(today)) ),
    inference('REWRITE',[status(thm)],[106,107]) ).

cnf(113,plain,
    ~ saturday(yesterday(today)),
    inference('UR-RESOLVE',[status(thm)],[saturday_yesterday,104]) ).

cnf(114,plain,
    ( thursday(yesterday(today))
    | friday(yesterday(today)) ),
    inference('REWRITE',[status(thm)],[108,113]) ).

cnf(115,plain,
    friday(yesterday(today)),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[thursday_yesterday,114]),107]) ).

cnf(116,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[friday_yesterday,115]),105]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : PUZ005-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13  % Command  : run-snark %s %d
% 0.14/0.35  % Computer : n029.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Sat May 28 21:28:13 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.20/0.47  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.48  * 
% 0.20/0.48  * 
% 0.20/0.48  #<PACKAGE "SNARK-USER">
% 0.20/0.48  * 
% 0.20/0.48  SNARK-TPTP-OPTIONS
% 0.20/0.48  * 
% 0.20/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48   (USE-FACTORING :POS)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48  * 
% 0.20/0.48  "."
% 0.20/0.48  * 
% 0.20/0.49  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-28T21:28:13
% 0.20/0.49  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n029.cluster.edu at 2022-05-28T21:28:13
% 0.20/0.55  
% 0.20/0.55  
% 0.20/0.55  #||
% 0.20/0.55  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.55  % SZS output start Refutation
% See solution above
% 0.20/0.55  ||#
% 0.20/0.55  
% 0.20/0.55  ; Summary of computation:
% 0.20/0.55  ;       235 formulas have been input or derived (from 87 formulas).
% 0.20/0.55  ;       116 (49%) were retained.  Of these,
% 0.20/0.55  ;           38 (33%) were simplified or subsumed later,
% 0.20/0.55  ;           78 (67%) are still being kept.
% 0.20/0.55  ; 
% 0.20/0.55  ; Run time in seconds excluding printing time:
% 0.20/0.55  ;     0.007  11%   Read assertion file          (1 call)
% 0.20/0.55  ;     0.001   2%   Assert                       (51 calls)
% 0.20/0.55  ;     0.010  16%   Process new row              (179 calls)
% 0.20/0.55  ;     0.009  14%   Resolution                   (172 calls)
% 0.20/0.55  ;     0.001   2%   Paramodulation               (86 calls)
% 0.20/0.55  ;     0.000   0%   Factoring                    (27 calls)
% 0.20/0.55  ;     0.002   3%   Condensing                   (133 calls)
% 0.20/0.55  ;     0.002   3%   Forward subsumption          (133 calls)
% 0.20/0.55  ;     0.003   5%   Backward subsumption         (95 calls)
% 0.20/0.55  ;     0.000   0%   Clause clause subsumption    (116 calls)
% 0.20/0.55  ;     0.001   2%   Forward simplification       (164 calls)
% 0.20/0.55  ;     0.002   3%   Backward simplification      (116 calls)
% 0.20/0.55  ;     0.000   0%   Ordering                     (185 calls)
% 0.20/0.55  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.20/0.55  ;     0.000   0%   Purity testing               (1 call)
% 0.20/0.55  ;     0.025  40%   Other
% 0.20/0.55  ;     0.063        Total
% 0.20/0.55  ;     0.068        Real time
% 0.20/0.55  ; 
% 0.20/0.55  ; Term-hash-array has 71 terms in all.
% 0.20/0.55  ; Feature-vector-row-index has 57 entries (76 at peak, 95 added, 38 deleted).
% 0.20/0.55  ; Feature-vector-row-index has 178 nodes (331 at peak, 437 added, 259 deleted).
% 0.20/0.55  ;  Retrieved 84 possibly forward subsuming rows in 133 calls.
% 0.20/0.55  ;  Retrieved 57 possibly backward subsumed rows in 95 calls.
% 0.20/0.55  ; Path-index has 62 entries (71 at peak, 90 added, 28 deleted).
% 0.20/0.55  ; Path-index has 118 nodes (121 at peak, 140 added, 22 deleted).
% 0.20/0.55  ; Trie-index has 62 entries (71 at peak, 90 added, 28 deleted).
% 0.20/0.55  ; Trie-index has 127 nodes (142 at peak, 161 added, 34 deleted).
% 0.20/0.55  ; Retrieved 25 generalization terms in 249 calls.
% 0.20/0.55  ; Retrieved 20 instance terms in 20 calls.
% 0.20/0.55  ; Retrieved 1,122 unifiable terms in 594 calls.
% 0.20/0.55  ; 
% 0.20/0.55  ; The agenda of rows to process has 11 entries:
% 0.20/0.55  ;     6 with value 10              4 with value 12               1 with value 35
% 0.20/0.55  ; The agenda of rows to give has 13 entries:
% 0.20/0.55  ;     4 with value (4 17)          2 with value (4 20)           1 with value (4 25)
% 0.20/0.55  ;     1 with value (4 19)          4 with value (4 24)           1 with value (4 34)
% 0.20/0.55  Evaluation took:
% 0.20/0.55    0.068 seconds of real time
% 0.20/0.55    0.058186 seconds of user run time
% 0.20/0.55    0.010378 seconds of system run time
% 0.20/0.55    0 calls to %EVAL
% 0.20/0.55    0 page faults and
% 0.20/0.55    6,084,888 bytes consed.
% 0.20/0.55  :PROOF-FOUND
% 0.20/0.55  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-28T21:28:13
% 0.20/0.55  :PROOF-FOUND
% 0.20/0.55  * 
%------------------------------------------------------------------------------