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

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : PUZ005+1 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n021.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   : Theorem 0.46s 0.65s
% Output   : Refutation 0.46s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   21 (  11 unt;   2 nHn;  21 RR)
%            Number of literals    :   38 (   0 equ;  20 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-1 aty)
%            Number of variables   :   12 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(4,axiom,
    thursday(a_thursday),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thursday) ).

cnf(10,axiom,
    ( ~ wednesday(X)
    | day(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',wednesday_is_a_day) ).

cnf(11,axiom,
    ( ~ thursday(X)
    | day(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thursday_is_a_day) ).

cnf(18,axiom,
    ( ~ thursday(X)
    | wednesday(yesterday(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thursday_follows_wednesday) ).

cnf(24,axiom,
    ( ~ wednesday(X)
    | lion_lies(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',lion_lies_wednesday) ).

cnf(25,axiom,
    ( ~ thursday(X)
    | ~ lion_lies(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',lion_does_not_lie_thursday) ).

cnf(31,axiom,
    ( ~ wednesday(X)
    | ~ unicorn_lies(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unicorn_does_not_lie_wednesday) ).

cnf(32,axiom,
    ( ~ thursday(X)
    | unicorn_lies(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unicorn_lies_thursday) ).

cnf(40,axiom,
    ( ~ day(X)
    | ~ day(Y)
    | lion_lies(X)
    | lies_on_one_of(a_lion,X,Y)
    | ~ lion_lies(Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',lion_lies_on_neither) ).

cnf(45,axiom,
    ( ~ day(X)
    | ~ day(Y)
    | ~ unicorn_lies(X)
    | lies_on_one_of(a_unicorn,X,Y)
    | unicorn_lies(Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unicorn_lies_on_both) ).

cnf(46,negated_conjecture,
    ( ~ day(X)
    | ~ lies_on_one_of(a_lion,X,yesterday(X))
    | ~ lies_on_one_of(a_unicorn,X,yesterday(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_there_are_close_lying_days) ).

cnf(50,plain,
    day(a_thursday),
    inference('HYPERRESOLVE',[status(thm)],[11,4]) ).

cnf(57,plain,
    ~ lion_lies(a_thursday),
    inference('UR-RESOLVE',[status(thm)],[25,4]) ).

cnf(64,plain,
    unicorn_lies(a_thursday),
    inference('HYPERRESOLVE',[status(thm)],[32,4]) ).

cnf(71,plain,
    wednesday(yesterday(a_thursday)),
    inference('HYPERRESOLVE',[status(thm)],[18,4]) ).

cnf(215,plain,
    lion_lies(yesterday(a_thursday)),
    inference('HYPERRESOLVE',[status(thm)],[24,71]) ).

cnf(216,plain,
    day(yesterday(a_thursday)),
    inference('HYPERRESOLVE',[status(thm)],[10,71]) ).

cnf(217,plain,
    ~ unicorn_lies(yesterday(a_thursday)),
    inference('UR-RESOLVE',[status(thm)],[31,71]) ).

cnf(361,plain,
    lies_on_one_of(a_lion,a_thursday,yesterday(a_thursday)),
    inference('UR-RESOLVE',[status(thm)],[40,216,50,57,215]) ).

cnf(377,plain,
    lies_on_one_of(a_unicorn,a_thursday,yesterday(a_thursday)),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[45,216,50,64]),217]) ).

cnf(591,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[46,361,50]),377]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : PUZ005+1 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n021.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 : Sat May 28 21:58:42 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.46  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47  * 
% 0.20/0.47  * 
% 0.20/0.47  #<PACKAGE "SNARK-USER">
% 0.20/0.47  * 
% 0.20/0.47  SNARK-TPTP-OPTIONS
% 0.20/0.47  * 
% 0.20/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47   (USE-FACTORING :POS)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47  * 
% 0.20/0.47  "."
% 0.20/0.47  * 
% 0.20/0.47  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-28T21:58:42
% 0.20/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-05-28T21:58:42
% 0.46/0.65  
% 0.46/0.65  
% 0.46/0.65  #||
% 0.46/0.65  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.46/0.65  % SZS output start Refutation
% See solution above
% 0.46/0.65  ||#
% 0.46/0.65  
% 0.46/0.65  ; Summary of computation:
% 0.46/0.65  ;      1592 formulas have been input or derived (from 364 formulas).
% 0.46/0.65  ;       591 (37%) were retained.  Of these,
% 0.46/0.65  ;          591 (100%) are still being kept.
% 0.46/0.65  ; 
% 0.46/0.65  ; Run time in seconds excluding printing time:
% 0.46/0.65  ;     0.008   5%   Read assertion file          (1 call)
% 0.46/0.65  ;     0.000   0%   Assert                       (46 calls)
% 0.46/0.65  ;     0.029  17%   Process new row              (1,524 calls)
% 0.46/0.65  ;     0.077  45%   Resolution                   (726 calls)
% 0.46/0.65  ;     0.004   2%   Paramodulation               (363 calls)
% 0.46/0.65  ;     0.000   0%   Condensing                   (39 calls)
% 0.46/0.65  ;     0.000   0%   Forward subsumption          (39 calls)
% 0.46/0.65  ;     0.001   1%   Backward subsumption         (39 calls)
% 0.46/0.65  ;     0.000   0%   Clause clause subsumption    (4 calls)
% 0.46/0.65  ;     0.014   8%   Forward simplification       (1,524 calls)
% 0.46/0.65  ;     0.000   0%   Backward simplification      (591 calls)
% 0.46/0.65  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.46/0.65  ;     0.000   0%   Purity testing               (1 call)
% 0.46/0.65  ;     0.039  23%   Other
% 0.46/0.65  ;     0.172        Total
% 0.46/0.65  ;     0.179        Real time
% 0.46/0.65  ; 
% 0.46/0.65  ; Term-hash-array has 597 terms in all.
% 0.46/0.65  ; Feature-vector-row-index has 39 entries (39 at peak, 39 added, 0 deleted).
% 0.46/0.65  ; Feature-vector-row-index has 71 nodes (71 at peak, 71 added, 0 deleted).
% 0.46/0.65  ;  Retrieved 15 possibly forward subsuming rows in 39 calls.
% 0.46/0.65  ;  Retrieved 8 possibly backward subsumed rows in 39 calls.
% 0.46/0.65  ; Path-index has 606 entries (606 at peak, 606 added, 0 deleted).
% 0.46/0.65  ; Path-index has 287 nodes (287 at peak, 287 added, 0 deleted).
% 0.46/0.65  ; Trie-index has 606 entries (606 at peak, 606 added, 0 deleted).
% 0.46/0.65  ; Trie-index has 709 nodes (709 at peak, 709 added, 0 deleted).
% 0.46/0.65  ; Retrieved 1,362 generalization terms in 1,949 calls.
% 0.46/0.65  ; Retrieved 551 instance terms in 551 calls.
% 0.46/0.65  ; Retrieved 38,518 unifiable terms in 17,446 calls.
% 0.46/0.65  ; 
% 0.46/0.65  ; The agenda of rows to process has 1 entry:
% 0.46/0.65  ;     1 with value 12
% 0.46/0.65  ; The agenda of rows to give has 227 entries:
% 0.46/0.65  ;   122 with value (4 10)         98 with value (4 11)           7 with value (4 12)
% 0.46/0.65  Evaluation took:
% 0.46/0.65    0.18 seconds of real time
% 0.46/0.65    0.157068 seconds of user run time
% 0.46/0.65    0.016962 seconds of system run time
% 0.46/0.65    0 calls to %EVAL
% 0.46/0.65    0 page faults and
% 0.46/0.65    9,181,048 bytes consed.
% 0.46/0.65  :PROOF-FOUND
% 0.46/0.65  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-28T21:58:42
% 0.46/0.65  :PROOF-FOUND
% 0.46/0.65  * 
%------------------------------------------------------------------------------