%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM015-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n012.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 0.18s 0.48s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of clauses : 14 ( 7 unt; 3 nHn; 10 RR)
% Number of literals : 24 ( 0 equ; 10 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-1 aty)
% Number of variables : 10 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(divide_self,axiom,
divides(X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',divide_self) ).
cnf(transitive_divide,axiom,
( ~ divides(X,Y)
| ~ divides(Y,Z)
| divides(X,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitive_divide) ).
cnf(prime,axiom,
( prime(X)
| divides(divisor(X),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prime) ).
cnf(divisor1,axiom,
( prime(X)
| less(n1,divisor(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',divisor1) ).
cnf(divisor2,axiom,
( prime(X)
| less(divisor(X),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',divisor2) ).
cnf(factor1,axiom,
( ~ less(n1,X)
| ~ less(X,a)
| prime(factor_of(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',factor1) ).
cnf(factor2,axiom,
( ~ less(n1,X)
| ~ less(X,a)
| divides(factor_of(X),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',factor2) ).
cnf(prove_a_has_prime_divisor,negated_conjecture,
( ~ prime(X)
| ~ divides(X,a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_a_has_prime_divisor) ).
cnf(10,plain,
~ prime(a),
inference('UR-RESOLVE',[status(thm)],[prove_a_has_prime_divisor,divide_self]) ).
cnf(12,plain,
prime(factor_of(divisor(a))),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[factor1,divisor1,divisor2]),10]) ).
cnf(13,plain,
divides(factor_of(divisor(a)),divisor(a)),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[factor2,divisor1,divisor2]),10]) ).
cnf(16,plain,
divides(divisor(a),a),
inference('UR-RESOLVE',[status(thm)],[prime,10]) ).
cnf(17,plain,
~ divides(factor_of(divisor(a)),a),
inference('UR-RESOLVE',[status(thm)],[prove_a_has_prime_divisor,12]) ).
cnf(23,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[transitive_divide,13,16]),17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : NUM015-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n012.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jul 6 14:31:15 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45 *
% 0.18/0.45 *
% 0.18/0.45 #<PACKAGE "SNARK-USER">
% 0.18/0.45 *
% 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/sandbox/benchmark/theBenchmark.p 2022-07-06T14:31:15
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n012.cluster.edu at 2022-07-06T14:31:15
% 0.18/0.48
% 0.18/0.48
% 0.18/0.48 #||
% 0.18/0.48 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.48 % SZS output start Refutation
% See solution above
% 0.18/0.49 ||#
% 0.18/0.49
% 0.18/0.49 ; Summary of computation:
% 0.18/0.49 ; 46 formulas have been input or derived (from 17 formulas).
% 0.18/0.49 ; 23 (50%) were retained. Of these,
% 0.18/0.49 ; 23 (100%) are still being kept.
% 0.18/0.49 ;
% 0.18/0.49 ; Run time in seconds excluding printing time:
% 0.18/0.49 ; 0.002 7% Read assertion file (1 call)
% 0.18/0.49 ; 0.000 0% Assert (9 calls)
% 0.18/0.49 ; 0.001 4% Process new row (32 calls)
% 0.18/0.49 ; 0.002 7% Resolution (32 calls)
% 0.18/0.49 ; 0.000 0% Paramodulation (16 calls)
% 0.18/0.49 ; 0.000 0% Factoring (3 calls)
% 0.18/0.49 ; 0.000 0% Condensing (9 calls)
% 0.18/0.49 ; 0.001 4% Forward subsumption (9 calls)
% 0.18/0.49 ; 0.000 0% Backward subsumption (8 calls)
% 0.18/0.49 ; 0.000 0% Clause clause subsumption (3 calls)
% 0.18/0.49 ; 0.000 0% Forward simplification (32 calls)
% 0.18/0.49 ; 0.001 4% Backward simplification (23 calls)
% 0.18/0.49 ; 0.000 0% Ordering (9 calls)
% 0.18/0.49 ; 0.000 0% Sortal reasoning (32 calls)
% 0.18/0.49 ; 0.000 0% Purity testing (1 call)
% 0.18/0.49 ; 0.020 74% Other
% 0.18/0.49 ; 0.027 Total
% 0.18/0.49 ; 0.031 Real time
% 0.18/0.49 ;
% 0.18/0.49 ; Term-hash-array has 34 terms in all.
% 0.18/0.49 ; Feature-vector-row-index has 8 entries (8 at peak, 8 added, 0 deleted).
% 0.18/0.49 ; Feature-vector-row-index has 26 nodes (26 at peak, 26 added, 0 deleted).
% 0.18/0.49 ; Retrieved 2 possibly forward subsuming rows in 9 calls.
% 0.18/0.49 ; Retrieved 1 possibly backward subsumed row in 8 calls.
% 0.18/0.49 ; Path-index has 36 entries (36 at peak, 36 added, 0 deleted).
% 0.18/0.49 ; Path-index has 58 nodes (58 at peak, 58 added, 0 deleted).
% 0.18/0.49 ; Trie-index has 36 entries (36 at peak, 36 added, 0 deleted).
% 0.18/0.49 ; Trie-index has 67 nodes (67 at peak, 67 added, 0 deleted).
% 0.18/0.49 ; Retrieved 29 generalization terms in 38 calls.
% 0.18/0.49 ; Retrieved 14 instance terms in 14 calls.
% 0.18/0.49 ; Retrieved 234 unifiable terms in 134 calls.
% 0.18/0.49 ;
% 0.18/0.49 ; The agenda of rows to process has 5 entries:
% 0.18/0.49 ; 3 with value 11 1 with value 13 1 with value 20
% 0.18/0.49 ; The agenda of rows to give has 6 entries:
% 0.18/0.49 ; 1 with value (4 10) 1 with value (4 12) 1 with value (4 17)
% 0.18/0.49 ; 1 with value (4 11) 2 with value (4 13)
% 0.18/0.49 Evaluation took:
% 0.18/0.49 0.031 seconds of real time
% 0.18/0.49 0.025867 seconds of user run time
% 0.18/0.49 0.004734 seconds of system run time
% 0.18/0.49 0 calls to %EVAL
% 0.18/0.49 0 page faults and
% 0.18/0.49 2,182,056 bytes consed.
% 0.18/0.49 :PROOF-FOUND
% 0.18/0.49 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-06T14:31:15
% 0.18/0.49 :PROOF-FOUND
% 0.18/0.49 *
%------------------------------------------------------------------------------