%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWX200+1 : TPTP v9.3.0. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n013.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 : 300s
% DateTime : Tue May 5 07:07:12 PM UTC 2026
% Result : Theorem 0.31s 0.50s
% Output : Refutation 0.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of clauses : 8 ( 6 unt; 1 nHn; 4 RR)
% Number of literals : 11 ( 1 equ; 3 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 10 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(7,axiom,
~ leqNat(s(X),z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_007) ).
cnf(10,axiom,
merge(nil,X) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_009) ).
cnf(14,axiom,
ord(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_013) ).
cnf(16,axiom,
( ~ ord(cons(X,cons(Y,Z)))
| leqNat(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_015) ).
cnf(19,negated_conjecture,
( ~ ord(X)
| ord(Y)
| ord(merge(X,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal_016) ).
cnf(22,plain,
ord(X),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[19,14]),10,theory(equality)]) ).
cnf(23,plain,
leqNat(X,Y),
inference('REWRITE',[status(thm)],[16,22]) ).
cnf(24,plain,
$false,
inference('REWRITE',[status(thm)],[7,23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWX200+1 : TPTP v9.3.0. Released v9.3.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.15/0.33 % Computer : n013.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Tue May 5 11:14:40 EDT 2026
% 0.15/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.31/0.46 *
% 0.31/0.46 *
% 0.31/0.47 #<PACKAGE "SNARK-USER">
% 0.31/0.47 *
% 0.31/0.47 SNARK-TPTP-OPTIONS
% 0.31/0.47 *
% 0.31/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.31/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.31/0.47 (USE-FACTORING :POS)
% 0.31/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.31/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.31/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.31/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.31/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.31/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.31/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.31/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.31/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.31/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.31/0.47 *
% 0.31/0.47 "."
% 0.31/0.47 *
% 0.31/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2026-05-05T11:14:41
% 0.31/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n013.cluster.edu at 2026-05-05T11:14:41
% 0.31/0.48
% 0.31/0.50 ; Recognized left identity assertion (= (|merge| |nil| ?X) ?X).
% 0.31/0.50
% 0.31/0.50 #||
% 0.31/0.50 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.31/0.50 % SZS output start Refutation
% See solution above
% 0.31/0.50 ||#
% 0.31/0.50
% 0.31/0.50 ; Summary of computation:
% 0.31/0.50 ; 36 formulas have been input or derived (from 15 formulas).
% 0.31/0.50 ; 24 (67%) were retained. Of these,
% 0.31/0.50 ; 14 (58%) were simplified or subsumed later,
% 0.31/0.50 ; 10 (42%) are still being kept.
% 0.31/0.50 ;
% 0.31/0.50 ; Run time in seconds excluding printing time:
% 0.31/0.50 ; 0.003 10% Read assertion file (1 call)
% 0.31/0.50 ; 0.001 3% Assert (16 calls)
% 0.31/0.50 ; 0.002 6% Process new row (29 calls)
% 0.31/0.50 ; 0.002 6% Resolution (28 calls)
% 0.31/0.50 ; 0.000 0% Paramodulation (14 calls)
% 0.31/0.50 ; 0.000 0% Condensing (8 calls)
% 0.31/0.50 ; 0.000 0% Forward subsumption (8 calls)
% 0.31/0.50 ; 0.000 0% Backward subsumption (8 calls)
% 0.31/0.50 ; 0.001 3% Forward simplification (29 calls)
% 0.31/0.50 ; 0.001 3% Backward simplification (24 calls)
% 0.31/0.50 ; 0.000 0% Ordering (26 calls)
% 0.31/0.50 ; 0.000 0% Sortal reasoning (32 calls)
% 0.31/0.50 ; 0.000 0% Purity testing (1 call)
% 0.31/0.50 ; 0.021 68% Other
% 0.31/0.50 ; 0.031 Total
% 0.31/0.50 ; 0.032 Real time
% 0.31/0.50 ;
% 0.31/0.50 ; Term-hash-array has 43 terms in all.
% 0.31/0.50 ; Feature-vector-row-index has 0 entries (8 at peak, 8 added, 8 deleted).
% 0.31/0.50 ; Feature-vector-row-index has 1 node (41 at peak, 41 added, 40 deleted).
% 0.31/0.50 ; Retrieved 0 possibly forward subsuming rows in 8 calls.
% 0.31/0.50 ; Retrieved 0 possibly backward subsumed rows in 8 calls.
% 0.31/0.50 ; Path-index has 18 entries (45 at peak, 45 added, 27 deleted).
% 0.31/0.50 ; Path-index has 120 nodes (157 at peak, 157 added, 37 deleted).
% 0.31/0.50 ; Trie-index has 18 entries (45 at peak, 45 added, 27 deleted).
% 0.31/0.50 ; Trie-index has 64 nodes (128 at peak, 128 added, 64 deleted).
% 0.31/0.50 ; Retrieved 1 generalization term in 36 calls.
% 0.31/0.50 ; Retrieved 24 instance terms in 15 calls.
% 0.31/0.50 ; Retrieved 87 unifiable terms in 69 calls.
% 0.31/0.50 ;
% 0.31/0.50 ; The agenda of backward simplifiable rows to process has 4 entries:
% 0.31/0.50 ; 4 with value 0
% 0.31/0.50 ; The agenda of rows to process has 1 entry:
% 0.31/0.50 ; 1 with value 13
% 0.31/0.50 ; The agenda of input rows to give has 1 entry:
% 0.31/0.50 ; 1 with value 4
% 0.31/0.50 ; The agenda of rows to give has 1 entry:
% 0.31/0.50 ; 1 with value (4 4)
% 0.31/0.50 Evaluation took:
% 0.31/0.50 0.032 seconds of real time
% 0.31/0.50 0.027686 seconds of user run time
% 0.31/0.50 0.004841 seconds of system run time
% 0.31/0.50 0 calls to %EVAL
% 0.31/0.50 0 page faults and
% 0.31/0.50 1,813,656 bytes consed.
% 0.31/0.50 :PROOF-FOUND
% 0.31/0.50 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2026-05-05T11:14:41
% 0.31/0.50 :PROOF-FOUND
% 0.31/0.50 *
%------------------------------------------------------------------------------