TSTP Solution File: PUZ018-1 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : PUZ018-1 : TPTP v8.1.0. Bugfixed v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n024.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 18:26:44 EDT 2022
% Result : Unsatisfiable 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 23
% Syntax : Number of clauses : 41 ( 29 unt; 8 nHn; 40 RR)
% Number of literals : 76 ( 0 equ; 27 neg)
% Maximal clause size : 7 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 10 con; 0-0 aty)
% Number of variables : 12 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(all_on_a_on,axiom,
( ~ all_on(X)
| on(a,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',all_on_a_on) ).
cnf(all_on_b_on,axiom,
( ~ all_on(X)
| on(b,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',all_on_b_on) ).
cnf(all_on_c_on,axiom,
( ~ all_on(X)
| on(c,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',all_on_c_on) ).
cnf(monday_follows_sunday,axiom,
consecutive(sunday,monday),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',monday_follows_sunday) ).
cnf(tuesday_follows_monday,axiom,
consecutive(monday,tuesday),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tuesday_follows_monday) ).
cnf(wednesday_follows_tuesday,axiom,
consecutive(tuesday,wednesday),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wednesday_follows_tuesday) ).
cnf(thursday_follows_wednesday,axiom,
consecutive(wednesday,thursday),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thursday_follows_wednesday) ).
cnf(friday_follows_thursday,axiom,
consecutive(thursday,friday),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',friday_follows_thursday) ).
cnf(a_not_b,axiom,
~ same_person(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_not_b) ).
cnf(a_not_c,axiom,
~ same_person(a,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_not_c) ).
cnf(sunday_not_tuesday,axiom,
~ same_day(sunday,tuesday),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sunday_not_tuesday) ).
cnf(sunday_not_thursday,axiom,
~ same_day(sunday,thursday),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sunday_not_thursday) ).
cnf(tuesday_not_thursday,axiom,
~ same_day(tuesday,thursday),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tuesday_not_thursday) ).
cnf(all_on_one_day,hypothesis,
( all_on(sunday)
| all_on(monday)
| all_on(tuesday)
| all_on(wednesday)
| all_on(thursday)
| all_on(friday)
| all_on(saturday) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',all_on_one_day) ).
cnf(not_on_for_3_days,hypothesis,
( ~ consecutive(X,Y)
| ~ consecutive(Y,Z)
| ~ consecutive(Z,U)
| ~ on(V,X)
| ~ on(V,Y)
| ~ on(V,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_on_for_3_days) ).
cnf(no_two_off_twice_together,hypothesis,
( on(X,Y)
| on(X,Z)
| on(U,Y)
| on(U,Z)
| same_person(X,U)
| same_day(Y,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',no_two_off_twice_together) ).
cnf(a_off_sunday,hypothesis,
~ on(a,sunday),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_off_sunday) ).
cnf(a_off_tuesday,hypothesis,
~ on(a,tuesday),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_off_tuesday) ).
cnf(a_off_thursday,hypothesis,
~ on(a,thursday),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_off_thursday) ).
cnf(b_off_thursday,hypothesis,
~ on(b,thursday),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_off_thursday) ).
cnf(b_off_saturday,hypothesis,
~ on(b,saturday),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_off_saturday) ).
cnf(c_off_sunday,hypothesis,
~ on(c,sunday),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_off_sunday) ).
cnf(prove_all_on_friday,negated_conjecture,
~ all_on(friday),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_all_on_friday) ).
cnf(49,plain,
( all_on(sunday)
| all_on(monday)
| all_on(tuesday)
| all_on(wednesday)
| all_on(thursday)
| all_on(saturday) ),
inference('REWRITE',[status(thm)],[all_on_one_day,prove_all_on_friday]) ).
cnf(50,plain,
~ all_on(sunday),
inference('UR-RESOLVE',[status(thm)],[all_on_a_on,a_off_sunday]) ).
cnf(51,plain,
( all_on(monday)
| all_on(tuesday)
| all_on(wednesday)
| all_on(thursday)
| all_on(saturday) ),
inference('REWRITE',[status(thm)],[49,50]) ).
cnf(52,plain,
~ all_on(tuesday),
inference('UR-RESOLVE',[status(thm)],[all_on_a_on,a_off_tuesday]) ).
cnf(53,plain,
( all_on(monday)
| all_on(wednesday)
| all_on(thursday)
| all_on(saturday) ),
inference('REWRITE',[status(thm)],[51,52]) ).
cnf(54,plain,
~ all_on(thursday),
inference('UR-RESOLVE',[status(thm)],[all_on_a_on,a_off_thursday]) ).
cnf(55,plain,
( all_on(monday)
| all_on(wednesday)
| all_on(saturday) ),
inference('REWRITE',[status(thm)],[53,54]) ).
cnf(56,plain,
~ all_on(saturday),
inference('UR-RESOLVE',[status(thm)],[all_on_b_on,b_off_saturday]) ).
cnf(57,plain,
( all_on(monday)
| all_on(wednesday) ),
inference('REWRITE',[status(thm)],[55,56]) ).
cnf(60,plain,
( all_on(monday)
| on(c,wednesday) ),
inference('HYPERRESOLVE',[status(thm)],[all_on_c_on,57]) ).
cnf(62,plain,
on(b,tuesday),
inference('UR-RESOLVE',[status(thm)],[no_two_off_twice_together,a_off_tuesday,a_off_thursday,b_off_thursday,a_not_b,tuesday_not_thursday]) ).
cnf(63,plain,
on(c,tuesday),
inference('UR-RESOLVE',[status(thm)],[no_two_off_twice_together,a_off_sunday,a_off_tuesday,c_off_sunday,a_not_c,sunday_not_tuesday]) ).
cnf(64,plain,
on(b,sunday),
inference('UR-RESOLVE',[status(thm)],[no_two_off_twice_together,a_off_sunday,a_off_thursday,b_off_thursday,a_not_b,sunday_not_thursday]) ).
cnf(65,plain,
on(c,thursday),
inference('UR-RESOLVE',[status(thm)],[no_two_off_twice_together,a_off_sunday,a_off_thursday,c_off_sunday,a_not_c,sunday_not_thursday]) ).
cnf(72,plain,
~ on(b,monday),
inference('UR-RESOLVE',[status(thm)],[not_on_for_3_days,64,monday_follows_sunday,tuesday_follows_monday,wednesday_follows_tuesday,62]) ).
cnf(74,plain,
~ on(c,wednesday),
inference('UR-RESOLVE',[status(thm)],[not_on_for_3_days,65,wednesday_follows_tuesday,thursday_follows_wednesday,friday_follows_thursday,63]) ).
cnf(75,plain,
all_on(monday),
inference('REWRITE',[status(thm)],[60,74]) ).
cnf(78,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[all_on_b_on,75]),72]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PUZ018-1 : TPTP v8.1.0. Bugfixed v1.2.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n024.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun May 29 00:33:36 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p 2022-05-29T00:33:37
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n024.cluster.edu at 2022-05-29T00:33:37
% 0.20/0.52
% 0.20/0.52
% 0.20/0.52 #||
% 0.20/0.52 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.52 % SZS output start Refutation
% See solution above
% 0.20/0.52 ||#
% 0.20/0.52
% 0.20/0.52 ; Summary of computation:
% 0.20/0.52 ; 133 formulas have been input or derived (from 59 formulas).
% 0.20/0.52 ; 78 (59%) were retained. Of these,
% 0.20/0.52 ; 9 (12%) were simplified or subsumed later,
% 0.20/0.52 ; 69 (88%) are still being kept.
% 0.20/0.52 ;
% 0.20/0.52 ; Run time in seconds excluding printing time:
% 0.20/0.52 ; 0.005 11% Read assertion file (1 call)
% 0.20/0.52 ; 0.001 2% Assert (48 calls)
% 0.20/0.52 ; 0.003 7% Process new row (102 calls)
% 0.20/0.52 ; 0.007 15% Resolution (116 calls)
% 0.20/0.52 ; 0.000 0% Paramodulation (58 calls)
% 0.20/0.52 ; 0.000 0% Factoring (2 calls)
% 0.20/0.52 ; 0.001 2% Condensing (19 calls)
% 0.36/0.52 ; 0.001 2% Forward subsumption (19 calls)
% 0.36/0.52 ; 0.000 0% Backward subsumption (19 calls)
% 0.36/0.52 ; 0.002 4% Forward simplification (102 calls)
% 0.36/0.52 ; 0.002 4% Backward simplification (78 calls)
% 0.36/0.52 ; 0.000 0% Ordering (81 calls)
% 0.36/0.52 ; 0.001 2% Sortal reasoning (32 calls)
% 0.36/0.52 ; 0.000 0% Purity testing (1 call)
% 0.36/0.52 ; 0.023 50% Other
% 0.36/0.52 ; 0.046 Total
% 0.36/0.52 ; 0.049 Real time
% 0.36/0.52 ;
% 0.36/0.52 ; Term-hash-array has 81 terms in all.
% 0.36/0.52 ; Feature-vector-row-index has 10 entries (14 at peak, 19 added, 9 deleted).
% 0.36/0.52 ; Feature-vector-row-index has 28 nodes (39 at peak, 74 added, 46 deleted).
% 0.36/0.52 ; Retrieved 0 possibly forward subsuming rows in 19 calls.
% 0.36/0.52 ; Retrieved 0 possibly backward subsumed rows in 19 calls.
% 0.36/0.52 ; Path-index has 89 entries (90 at peak, 112 added, 23 deleted).
% 0.36/0.52 ; Path-index has 79 nodes (79 at peak, 100 added, 21 deleted).
% 0.36/0.52 ; Trie-index has 89 entries (90 at peak, 112 added, 23 deleted).
% 0.36/0.52 ; Trie-index has 102 nodes (103 at peak, 125 added, 23 deleted).
% 0.36/0.52 ; Retrieved 60 generalization terms in 141 calls.
% 0.36/0.52 ; Retrieved 59 instance terms in 58 calls.
% 0.36/0.52 ; Retrieved 5,293 unifiable terms in 1,427 calls.
% 0.36/0.52 ;
% 0.36/0.52 ; The agenda of rows to process has 6 entries:
% 0.36/0.52 ; 6 with value 6
% 0.36/0.52 ; The agenda of rows to give has 11 entries:
% 0.36/0.52 ; 1 with value (4 5) 7 with value (4 6) 3 with value (4 21)
% 0.36/0.52 Evaluation took:
% 0.36/0.52 0.05 seconds of real time
% 0.36/0.52 0.042458 seconds of user run time
% 0.36/0.52 0.007237 seconds of system run time
% 0.36/0.52 0 calls to %EVAL
% 0.36/0.52 0 page faults and
% 0.36/0.52 4,294,952 bytes consed.
% 0.36/0.52 :PROOF-FOUND
% 0.36/0.52 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-29T00:33:37
% 0.36/0.52 :PROOF-FOUND
% 0.36/0.52 *
%------------------------------------------------------------------------------