%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM014-1 : TPTP v8.1.0. Released v1.0.0.
% 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 14:06:06 EDT 2022
% Result : Unsatisfiable 0.20s 0.50s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 6
% Syntax : Number of clauses : 8 ( 6 unt; 1 nHn; 7 RR)
% Number of literals : 13 ( 0 equ; 5 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 8 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(square,axiom,
product(X,X,square(X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',square) ).
cnf(divides,axiom,
( ~ product(X,Y,Z)
| divides(X,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',divides) ).
cnf(remainder,axiom,
( ~ prime(X)
| ~ product(Y,Z,U)
| ~ divides(X,U)
| divides(X,Y)
| divides(X,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',remainder) ).
cnf(a_is_prime,hypothesis,
prime(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_prime) ).
cnf(a_equals_b_squared_by_c_squared,hypothesis,
product(a,square(c),square(b)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_equals_b_squared_by_c_squared) ).
cnf(prove_a_divides_b,negated_conjecture,
~ divides(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_a_divides_b) ).
cnf(8,plain,
divides(a,square(b)),
inference('HYPERRESOLVE',[status(thm)],[divides,a_equals_b_squared_by_c_squared]) ).
cnf(11,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[remainder,a_is_prime,square,prove_a_divides_b,prove_a_divides_b]),8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : NUM014-1 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n024.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Tue Jul 5 12:24:29 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 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 *
% 0.20/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-05T12:24:29
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n024.cluster.edu at 2022-07-05T12:24:29
% 0.20/0.49
% 0.20/0.49 ; Recognized commutativity assertion (OR (NOT (|product| ?X ?Y ?Z)) (|product| ?Y ?X ?Z)).
% 0.20/0.50 ; Declaring product to be commutative.
% 0.20/0.50
% 0.20/0.50 #||
% 0.20/0.50 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.50 % SZS output start Refutation
% See solution above
% 0.20/0.50 ||#
% 0.20/0.50
% 0.20/0.50 ; Summary of computation:
% 0.20/0.50 ; 15 formulas have been input or derived (from 7 formulas).
% 0.20/0.50 ; 11 (73%) were retained. Of these,
% 0.20/0.50 ; 11 (100%) are still being kept.
% 0.20/0.50 ;
% 0.20/0.50 ; Run time in seconds excluding printing time:
% 0.20/0.50 ; 0.001 4% Read assertion file (1 call)
% 0.20/0.50 ; 0.000 0% Assert (7 calls)
% 0.20/0.50 ; 0.000 0% Process new row (14 calls)
% 0.20/0.50 ; 0.001 4% Resolution (12 calls)
% 0.20/0.50 ; 0.000 0% Paramodulation (6 calls)
% 0.20/0.51 ; 0.000 0% Condensing (2 calls)
% 0.20/0.51 ; 0.001 4% Forward subsumption (2 calls)
% 0.20/0.51 ; 0.000 0% Backward subsumption (2 calls)
% 0.20/0.51 ; 0.000 0% Clause clause subsumption (1 call)
% 0.20/0.51 ; 0.000 0% Forward simplification (14 calls)
% 0.20/0.51 ; 0.000 0% Backward simplification (11 calls)
% 0.20/0.51 ; 0.001 4% Sortal reasoning (32 calls)
% 0.20/0.51 ; 0.000 0% Purity testing (1 call)
% 0.20/0.51 ; 0.022 85% Other
% 0.20/0.51 ; 0.026 Total
% 0.20/0.51 ; 0.027 Real time
% 0.20/0.51 ;
% 0.20/0.51 ; Term-hash-array has 17 terms in all.
% 0.20/0.51 ; Feature-vector-row-index has 2 entries (2 at peak, 2 added, 0 deleted).
% 0.20/0.51 ; Feature-vector-row-index has 7 nodes (7 at peak, 7 added, 0 deleted).
% 0.20/0.51 ; Retrieved 1 possibly forward subsuming row in 2 calls.
% 0.20/0.51 ; Retrieved 0 possibly backward subsumed rows in 2 calls.
% 0.20/0.51 ; Path-index has 20 entries (20 at peak, 20 added, 0 deleted).
% 0.20/0.51 ; Path-index has 35 nodes (35 at peak, 35 added, 0 deleted).
% 0.20/0.51 ; Trie-index has 20 entries (20 at peak, 20 added, 0 deleted).
% 0.20/0.51 ; Trie-index has 39 nodes (39 at peak, 39 added, 0 deleted).
% 0.20/0.51 ; Retrieved 5 generalization terms in 10 calls.
% 0.20/0.51 ; Retrieved 9 instance terms in 8 calls.
% 0.20/0.51 ; Retrieved 87 unifiable terms in 46 calls.
% 0.20/0.51 ;
% 0.20/0.51 ; The agenda of rows to give has 4 entries:
% 0.20/0.51 ; 1 with value (4 6) 2 with value (4 7) 1 with value (4 8)
% 0.20/0.51 Evaluation took:
% 0.20/0.51 0.027 seconds of real time
% 0.20/0.51 0.022221 seconds of user run time
% 0.20/0.51 0.005413 seconds of system run time
% 0.20/0.51 0 calls to %EVAL
% 0.20/0.51 0 page faults and
% 0.20/0.51 1,649,664 bytes consed.
% 0.20/0.51 :PROOF-FOUND
% 0.20/0.51 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-05T12:24:29
% 0.20/0.51 :PROOF-FOUND
% 0.20/0.51 *
%------------------------------------------------------------------------------