TSTP Solution File: SYN084-2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SYN084-2 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n019.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 : Thu Jul 21 11:57:30 EDT 2022
% Result : Unsatisfiable 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 7
% Syntax : Number of clauses : 26 ( 8 unt; 11 nHn; 24 RR)
% Number of literals : 51 ( 0 equ; 16 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 4 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(pel62_1,negated_conjecture,
big_p(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel62_1) ).
cnf(pel62_2,negated_conjecture,
( big_p(f(f(X)))
| big_p(X)
| ~ big_p(a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel62_2) ).
cnf(3,plain,
( big_p(f(f(X)))
| big_p(X) ),
inference('REWRITE',[status(thm)],[pel62_2,pel62_1]) ).
cnf(pel62_3,negated_conjecture,
( big_p(f(f(X)))
| ~ big_p(f(X))
| ~ big_p(a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel62_3) ).
cnf(5,plain,
( big_p(f(f(X)))
| ~ big_p(f(X)) ),
inference('REWRITE',[status(thm)],[pel62_3,pel62_1]) ).
cnf(pel62_4,negated_conjecture,
( ~ big_p(f(f(sk1)))
| ~ big_p(f(f(sk2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel62_4) ).
cnf(pel62_5,negated_conjecture,
( big_p(f(sk1))
| big_p(f(sk2))
| ~ big_p(sk1)
| ~ big_p(sk2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel62_5) ).
cnf(pel62_6,negated_conjecture,
( big_p(f(sk1))
| ~ big_p(sk1)
| ~ big_p(f(f(sk2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel62_6) ).
cnf(pel62_7,negated_conjecture,
( big_p(f(sk2))
| ~ big_p(sk2)
| ~ big_p(f(f(sk1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel62_7) ).
cnf(11,plain,
( big_p(sk1)
| big_p(sk2) ),
inference('HYPERRESOLVE',[status(thm)],[pel62_4,3,3]) ).
cnf(12,plain,
( big_p(sk1)
| big_p(f(sk2)) ),
inference('HYPERRESOLVE',[status(thm)],[pel62_7,11,3]) ).
cnf(13,plain,
( big_p(sk1)
| big_p(f(f(sk2))) ),
inference('HYPERRESOLVE',[status(thm)],[5,12]) ).
cnf(15,plain,
big_p(sk1),
inference('HYPERRESOLVE',[status(thm)],[pel62_4,13,3]) ).
cnf(16,plain,
( big_p(f(sk1))
| big_p(f(sk2))
| ~ big_p(sk2) ),
inference('REWRITE',[status(thm)],[pel62_5,15]) ).
cnf(17,plain,
( big_p(f(sk1))
| ~ big_p(f(f(sk2))) ),
inference('REWRITE',[status(thm)],[pel62_6,15]) ).
cnf(18,plain,
( big_p(sk2)
| big_p(f(sk1)) ),
inference('HYPERRESOLVE',[status(thm)],[17,3]) ).
cnf(19,plain,
( big_p(sk2)
| big_p(f(f(sk1))) ),
inference('HYPERRESOLVE',[status(thm)],[5,18]) ).
cnf(20,plain,
big_p(sk2),
inference('HYPERRESOLVE',[status(thm)],[pel62_4,19,3]) ).
cnf(21,plain,
( big_p(f(sk2))
| ~ big_p(f(f(sk1))) ),
inference('REWRITE',[status(thm)],[pel62_7,20]) ).
cnf(22,plain,
( big_p(f(sk1))
| big_p(f(sk2)) ),
inference('REWRITE',[status(thm)],[16,20]) ).
cnf(23,plain,
( big_p(f(sk1))
| big_p(f(f(sk2))) ),
inference('HYPERRESOLVE',[status(thm)],[5,22]) ).
cnf(24,plain,
big_p(f(sk1)),
inference('HYPERRESOLVE',[status(thm)],[17,23]) ).
cnf(25,plain,
big_p(f(f(sk1))),
inference('HYPERRESOLVE',[status(thm)],[5,24]) ).
cnf(26,plain,
~ big_p(f(f(sk2))),
inference('REWRITE',[status(thm)],[pel62_4,25]) ).
cnf(27,plain,
big_p(f(sk2)),
inference('REWRITE',[status(thm)],[21,25]) ).
cnf(28,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[5,27]),26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SYN084-2 : TPTP v8.1.0. Released v1.2.0.
% 0.04/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n019.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 : Tue Jul 12 01:17:53 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-12T01:17:53
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n019.cluster.edu at 2022-07-12T01:17:53
% 0.19/0.50
% 0.19/0.50
% 0.19/0.50 #||
% 0.19/0.50 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.50 % SZS output start Refutation
% See solution above
% 0.19/0.50 ||#
% 0.19/0.50
% 0.19/0.50 ; Summary of computation:
% 0.19/0.50 ; 35 formulas have been input or derived (from 23 formulas).
% 0.19/0.50 ; 28 (80%) were retained. Of these,
% 0.19/0.50 ; 16 (57%) were simplified or subsumed later,
% 0.19/0.50 ; 12 (43%) are still being kept.
% 0.19/0.50 ;
% 0.19/0.50 ; Run time in seconds excluding printing time:
% 0.19/0.50 ; 0.001 3% Read assertion file (1 call)
% 0.19/0.50 ; 0.001 3% Assert (7 calls)
% 0.19/0.50 ; 0.000 0% Process new row (31 calls)
% 0.19/0.50 ; 0.001 3% Resolution (44 calls)
% 0.19/0.50 ; 0.000 0% Paramodulation (22 calls)
% 0.19/0.50 ; 0.000 0% Factoring (9 calls)
% 0.19/0.50 ; 0.000 0% Condensing (18 calls)
% 0.19/0.50 ; 0.001 3% Forward subsumption (18 calls)
% 0.19/0.50 ; 0.000 0% Backward subsumption (18 calls)
% 0.19/0.50 ; 0.000 0% Clause clause subsumption (6 calls)
% 0.19/0.50 ; 0.001 3% Forward simplification (27 calls)
% 0.19/0.50 ; 0.001 3% Backward simplification (26 calls)
% 0.19/0.50 ; 0.000 0% Ordering (23 calls)
% 0.19/0.50 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.50 ; 0.000 0% Purity testing (1 call)
% 0.19/0.50 ; 0.023 79% Other
% 0.19/0.50 ; 0.029 Total
% 0.19/0.50 ; 0.032 Real time
% 0.19/0.50 ;
% 0.19/0.50 ; Term-hash-array has 20 terms in all.
% 0.19/0.50 ; Feature-vector-row-index has 4 entries (11 at peak, 18 added, 14 deleted).
% 0.19/0.50 ; Feature-vector-row-index has 17 nodes (72 at peak, 125 added, 108 deleted).
% 0.19/0.50 ; Retrieved 6 possibly forward subsuming rows in 18 calls.
% 0.19/0.50 ; Retrieved 0 possibly backward subsumed rows in 18 calls.
% 0.19/0.50 ; Path-index has 23 entries (23 at peak, 29 added, 6 deleted).
% 0.19/0.50 ; Path-index has 33 nodes (33 at peak, 39 added, 6 deleted).
% 0.19/0.50 ; Trie-index has 23 entries (23 at peak, 29 added, 6 deleted).
% 0.19/0.50 ; Trie-index has 33 nodes (33 at peak, 39 added, 6 deleted).
% 0.19/0.50 ; Retrieved 4 generalization terms in 52 calls.
% 0.19/0.50 ; Retrieved 7 instance terms in 7 calls.
% 0.19/0.50 ; Retrieved 128 unifiable terms in 128 calls.
% 0.19/0.50 ;
% 0.19/0.50 ; The agenda of input rows to give has 1 entry:
% 0.19/0.50 ; 1 with value 7
% 0.19/0.50 ; The agenda of rows to give has 2 entries:
% 0.19/0.50 ; 1 with value (4 10) 1 with value (4 16)
% 0.19/0.50 Evaluation took:
% 0.19/0.50 0.033 seconds of real time
% 0.19/0.50 0.028778 seconds of user run time
% 0.19/0.50 0.00377 seconds of system run time
% 0.19/0.50 0 calls to %EVAL
% 0.19/0.50 0 page faults and
% 0.19/0.50 3,062,472 bytes consed.
% 0.19/0.50 :PROOF-FOUND
% 0.19/0.50 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-12T01:17:53
% 0.19/0.50 :PROOF-FOUND
% 0.19/0.50 *
%------------------------------------------------------------------------------