TSTP Solution File: PUZ031-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : PUZ031-1 : TPTP v8.1.0. Released v1.0.0.
% 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 18:26:46 EDT 2022
% Result : Unsatisfiable 0.18s 0.50s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 20
% Syntax : Number of clauses : 37 ( 22 unt; 1 nHn; 37 RR)
% Number of literals : 67 ( 0 equ; 37 neg)
% Maximal clause size : 8 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 26 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(wolf_is_an_animal,axiom,
( animal(X)
| ~ wolf(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wolf_is_an_animal) ).
cnf(fox_is_an_animal,axiom,
( animal(X)
| ~ fox(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fox_is_an_animal) ).
cnf(bird_is_an_animal,axiom,
( animal(X)
| ~ bird(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bird_is_an_animal) ).
cnf(snail_is_an_animal,axiom,
( animal(X)
| ~ snail(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',snail_is_an_animal) ).
cnf(there_is_a_wolf,axiom,
wolf(a_wolf),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',there_is_a_wolf) ).
cnf(there_is_a_fox,axiom,
fox(a_fox),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',there_is_a_fox) ).
cnf(there_is_a_bird,axiom,
bird(a_bird),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',there_is_a_bird) ).
cnf(there_is_a_snail,axiom,
snail(a_snail),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',there_is_a_snail) ).
cnf(there_is_a_grain,axiom,
grain(a_grain),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',there_is_a_grain) ).
cnf(grain_is_a_plant,axiom,
( plant(X)
| ~ grain(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',grain_is_a_plant) ).
cnf(eating_habits,axiom,
( eats(X,Y)
| eats(X,Z)
| ~ animal(X)
| ~ plant(Y)
| ~ animal(Z)
| ~ plant(U)
| ~ much_smaller(Z,X)
| ~ eats(Z,U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',eating_habits) ).
cnf(snail_smaller_than_bird,axiom,
( much_smaller(X,Y)
| ~ snail(X)
| ~ bird(Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',snail_smaller_than_bird) ).
cnf(bird_smaller_than_fox,axiom,
( much_smaller(X,Y)
| ~ bird(X)
| ~ fox(Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bird_smaller_than_fox) ).
cnf(fox_smaller_than_wolf,axiom,
( much_smaller(X,Y)
| ~ fox(X)
| ~ wolf(Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fox_smaller_than_wolf) ).
cnf(wolf_dont_eat_fox,axiom,
( ~ wolf(X)
| ~ fox(Y)
| ~ eats(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wolf_dont_eat_fox) ).
cnf(wolf_dont_eat_grain,axiom,
( ~ wolf(X)
| ~ grain(Y)
| ~ eats(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wolf_dont_eat_grain) ).
cnf(bird_dont_eat_snail,axiom,
( ~ bird(X)
| ~ snail(Y)
| ~ eats(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bird_dont_eat_snail) ).
cnf(snail_food_is_a_plant,axiom,
( plant(snail_food_of(X))
| ~ snail(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',snail_food_is_a_plant) ).
cnf(snail_eats_snail_food,axiom,
( eats(X,snail_food_of(X))
| ~ snail(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',snail_eats_snail_food) ).
cnf(prove_the_animal_exists,negated_conjecture,
( ~ animal(X)
| ~ animal(Y)
| ~ grain(Z)
| ~ eats(X,Y)
| ~ eats(Y,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_the_animal_exists) ).
cnf(27,plain,
animal(a_wolf),
inference('HYPERRESOLVE',[status(thm)],[wolf_is_an_animal,there_is_a_wolf]) ).
cnf(28,plain,
animal(a_fox),
inference('HYPERRESOLVE',[status(thm)],[fox_is_an_animal,there_is_a_fox]) ).
cnf(29,plain,
animal(a_bird),
inference('HYPERRESOLVE',[status(thm)],[bird_is_an_animal,there_is_a_bird]) ).
cnf(31,plain,
animal(a_snail),
inference('HYPERRESOLVE',[status(thm)],[snail_is_an_animal,there_is_a_snail]) ).
cnf(32,plain,
plant(a_grain),
inference('HYPERRESOLVE',[status(thm)],[grain_is_a_plant,there_is_a_grain]) ).
cnf(34,plain,
plant(snail_food_of(a_snail)),
inference('HYPERRESOLVE',[status(thm)],[snail_food_is_a_plant,there_is_a_snail]) ).
cnf(36,plain,
eats(a_snail,snail_food_of(a_snail)),
inference('HYPERRESOLVE',[status(thm)],[snail_eats_snail_food,there_is_a_snail]) ).
cnf(38,plain,
much_smaller(a_snail,a_bird),
inference('HYPERRESOLVE',[status(thm)],[snail_smaller_than_bird,there_is_a_snail,there_is_a_bird]) ).
cnf(39,plain,
much_smaller(a_bird,a_fox),
inference('HYPERRESOLVE',[status(thm)],[bird_smaller_than_fox,there_is_a_bird,there_is_a_fox]) ).
cnf(40,plain,
much_smaller(a_fox,a_wolf),
inference('HYPERRESOLVE',[status(thm)],[fox_smaller_than_wolf,there_is_a_fox,there_is_a_wolf]) ).
cnf(41,plain,
~ eats(a_wolf,a_fox),
inference('UR-RESOLVE',[status(thm)],[wolf_dont_eat_fox,there_is_a_wolf,there_is_a_fox]) ).
cnf(42,plain,
~ eats(a_wolf,a_grain),
inference('UR-RESOLVE',[status(thm)],[wolf_dont_eat_grain,there_is_a_wolf,there_is_a_grain]) ).
cnf(44,plain,
~ eats(a_bird,a_snail),
inference('UR-RESOLVE',[status(thm)],[bird_dont_eat_snail,there_is_a_bird,there_is_a_snail]) ).
cnf(45,plain,
~ eats(a_fox,a_grain),
inference('UR-RESOLVE',[status(thm)],[eating_habits,42,41,27,32,28,32,40]) ).
cnf(53,plain,
eats(a_bird,a_grain),
inference('UR-RESOLVE',[status(thm)],[eating_habits,36,44,29,32,31,34,38]) ).
cnf(59,plain,
eats(a_fox,a_bird),
inference('UR-RESOLVE',[status(thm)],[eating_habits,53,45,28,32,29,32,39]) ).
cnf(63,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[prove_the_animal_exists,53,28,29,there_is_a_grain]),59]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PUZ031-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n021.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sat May 28 22:19:42 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45 *
% 0.18/0.45 *
% 0.18/0.46 #<PACKAGE "SNARK-USER">
% 0.18/0.46 *
% 0.18/0.46 SNARK-TPTP-OPTIONS
% 0.18/0.46 *
% 0.18/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46 (USE-FACTORING :POS)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46 *
% 0.18/0.46 "."
% 0.18/0.46 *
% 0.18/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-28T22:19:42
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-05-28T22:19:42
% 0.18/0.50
% 0.18/0.50
% 0.18/0.50 #||
% 0.18/0.50 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.50 % SZS output start Refutation
% See solution above
% 0.18/0.50 ||#
% 0.18/0.50
% 0.18/0.50 ; Summary of computation:
% 0.18/0.50 ; 88 formulas have been input or derived (from 51 formulas).
% 0.18/0.50 ; 63 (72%) were retained. Of these,
% 0.18/0.50 ; 63 (100%) are still being kept.
% 0.18/0.50 ;
% 0.18/0.50 ; Run time in seconds excluding printing time:
% 0.18/0.50 ; 0.004 10% Read assertion file (1 call)
% 0.18/0.50 ; 0.001 2% Assert (26 calls)
% 0.18/0.50 ; 0.002 5% Process new row (69 calls)
% 0.18/0.50 ; 0.008 19% Resolution (100 calls)
% 0.18/0.50 ; 0.001 2% Paramodulation (50 calls)
% 0.18/0.50 ; 0.001 2% Condensing (20 calls)
% 0.18/0.50 ; 0.000 0% Forward subsumption (20 calls)
% 0.18/0.51 ; 0.000 0% Backward subsumption (20 calls)
% 0.18/0.51 ; 0.002 5% Forward simplification (69 calls)
% 0.18/0.51 ; 0.000 0% Backward simplification (63 calls)
% 0.18/0.51 ; 0.000 0% Ordering (2 calls)
% 0.18/0.51 ; 0.000 0% Sortal reasoning (32 calls)
% 0.18/0.51 ; 0.000 0% Purity testing (1 call)
% 0.18/0.51 ; 0.023 55% Other
% 0.18/0.51 ; 0.042 Total
% 0.18/0.51 ; 0.046 Real time
% 0.18/0.51 ;
% 0.18/0.51 ; Term-hash-array has 75 terms in all.
% 0.18/0.51 ; Feature-vector-row-index has 20 entries (20 at peak, 20 added, 0 deleted).
% 0.18/0.51 ; Feature-vector-row-index has 42 nodes (42 at peak, 42 added, 0 deleted).
% 0.18/0.51 ; Retrieved 0 possibly forward subsuming rows in 20 calls.
% 0.18/0.51 ; Retrieved 0 possibly backward subsumed rows in 20 calls.
% 0.18/0.51 ; Path-index has 81 entries (81 at peak, 81 added, 0 deleted).
% 0.18/0.51 ; Path-index has 88 nodes (88 at peak, 88 added, 0 deleted).
% 0.18/0.51 ; Trie-index has 81 entries (81 at peak, 81 added, 0 deleted).
% 0.18/0.51 ; Trie-index has 101 nodes (101 at peak, 101 added, 0 deleted).
% 0.18/0.51 ; Retrieved 10 generalization terms in 67 calls.
% 0.18/0.51 ; Retrieved 42 instance terms in 42 calls.
% 0.18/0.51 ; Retrieved 4,813 unifiable terms in 2,065 calls.
% 0.18/0.51 ;
% 0.18/0.51 ; The agenda of rows to process has 4 entries:
% 0.18/0.51 ; 1 with value 7 1 with value 11 2 with value 13
% 0.18/0.51 ; The agenda of rows to give has 12 entries:
% 0.18/0.51 ; 3 with value (4 6) 5 with value (4 7) 4 with value (4 8)
% 0.18/0.51 Evaluation took:
% 0.18/0.51 0.046 seconds of real time
% 0.18/0.51 0.037249 seconds of user run time
% 0.18/0.51 0.008841 seconds of system run time
% 0.18/0.51 0 calls to %EVAL
% 0.18/0.51 0 page faults and
% 0.18/0.51 4,024,440 bytes consed.
% 0.18/0.51 :PROOF-FOUND
% 0.18/0.51 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-28T22:19:42
% 0.18/0.51 :PROOF-FOUND
% 0.18/0.51 *
%------------------------------------------------------------------------------